Fig A1b variational double-bracket flow TLFIM L = 7 J=1.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from simple_exact_diagonalization_routines.local_matrix_class import *\n",
    "from scipy.linalg import expm\n",
    "import matplotlib.pyplot as plt\n",
    "import time\n",
    "\n",
    "\n",
    "# System size\n",
    "L = 7\n",
    "\n",
    "# Create objects of Pauli operators\n",
    "X = X_class(L)\n",
    "Y = Y_class(L)\n",
    "Z = Z_class(L)\n",
    "S_plus = S_plus_class(L)\n",
    "S_minus = S_minus_class(L)\n",
    "\n",
    "# Trivial initialization of the right size matrix\n",
    "hamiltonian_name = \"TLFIM_J_1_L_\" +str(L)\n",
    "H_TLFIM = 0*np.eye( 2**L ) \n",
    "\n",
    "for x in range(L-1):\n",
    "    H_TLFIM = H_TLFIM + X.at(x+1).dot(X.at(x+2)) + Z.at(x+1)+ X.at(x+1)\n",
    "H_TLFIM = H_TLFIM + Z.at(L)    + X.at(L)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flow step  0\n",
      "Found minimum norm =  37.67684219544857  for s =  0.0833984375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0833984375   minimal norm  37.67684219544857\n",
      "Found minimum norm =  37.83648045367142  for s =  0.08183593750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.08183593750000001   minimal norm  37.83648045367142\n",
      "Found minimum norm =  37.77199779411732  for s =  0.0724609375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0724609375   minimal norm  37.77199779411732\n",
      "Found minimum norm =  38.44028197459413  for s =  0.08652343750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.08652343750000001   minimal norm  38.44028197459413\n",
      "Found minimum norm =  37.77199779411732  for s =  0.0724609375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0724609375   minimal norm  37.77199779411732\n",
      "Found minimum norm =  37.88758515279914  for s =  0.0716796875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0716796875   minimal norm  37.88758515279914\n",
      "Found minimum norm =  37.991042178232256  for s =  0.08066406250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.08066406250000002   minimal norm  37.991042178232256\n",
      "Found minimum norm =  39.030134887388634  for s =  0.09238281250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.09238281250000001   minimal norm  39.030134887388634\n",
      "Found minimum norm =  37.771997794117325  for s =  0.0724609375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0724609375   minimal norm  37.771997794117325\n",
      "Found minimum norm =  37.89752502626433  for s =  0.0716796875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0716796875   minimal norm  37.89752502626433\n",
      "Found minimum norm =  37.615925307731835  for s =  0.0666015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0666015625   minimal norm  37.615925307731835\n",
      "Found minimum norm =  38.54213300323051  for s =  0.07324218750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.07324218750000001   minimal norm  38.54213300323051\n",
      "Found minimum norm =  37.991042178232256  for s =  0.08066406250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.08066406250000002   minimal norm  37.991042178232256\n",
      "Found minimum norm =  38.126228725617004  for s =  0.07949218750000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.07949218750000002   minimal norm  38.126228725617004\n",
      "Found minimum norm =  38.60691250585305  for s =  0.0849609375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0849609375   minimal norm  38.60691250585305\n",
      "Found minimum norm =  39.60371565793421  for s =  0.0990234375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0990234375   minimal norm  39.60371565793421\n",
      "Found minimum norm =  37.77199779411731  for s =  0.0724609375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0724609375   minimal norm  37.77199779411731\n",
      "Found minimum norm =  37.897525026264326  for s =  0.0716796875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0716796875   minimal norm  37.897525026264326\n",
      "Found minimum norm =  37.66183872399395  for s =  0.0658203125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0658203125   minimal norm  37.66183872399395\n",
      "Found minimum norm =  38.552718864676315  for s =  0.07324218750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.07324218750000001   minimal norm  38.552718864676315\n",
      "Found minimum norm =  37.615925307731814  for s =  0.0666015625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0666015625   minimal norm  37.615925307731814\n",
      "Found minimum norm =  37.717162033948426  for s =  0.0658203125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0658203125   minimal norm  37.717162033948426\n",
      "Found minimum norm =  38.01015991378071  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0705078125   minimal norm  38.01015991378071\n",
      "Found minimum norm =  39.1785262424346  for s =  0.07402343750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.07402343750000001   minimal norm  39.1785262424346\n",
      "Found minimum norm =  37.991042178232235  for s =  0.08066406250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.08066406250000002   minimal norm  37.991042178232235\n",
      "Found minimum norm =  38.14062610611227  for s =  0.07910156250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.07910156250000001   minimal norm  38.14062610611227\n",
      "Found minimum norm =  38.01015991378072  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0705078125   minimal norm  38.01015991378072\n",
      "Found minimum norm =  38.74999135442724  for s =  0.0833984375\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0833984375   minimal norm  38.74999135442724\n",
      "Found minimum norm =  38.60691250585305  for s =  0.0849609375\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0849609375   minimal norm  38.60691250585305\n",
      "Found minimum norm =  38.74999135442724  for s =  0.0833984375\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0833984375   minimal norm  38.74999135442724\n",
      "Found minimum norm =  39.21093885006844  for s =  0.08964843750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.08964843750000001   minimal norm  39.21093885006844\n",
      "Found minimum norm =  40.16221318457787  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0998046875   minimal norm  40.16221318457787\n",
      "Found minimum norm =  37.77199779411731  for s =  0.0724609375\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0724609375   minimal norm  37.77199779411731\n",
      "Found minimum norm =  37.89752502626433  for s =  0.0716796875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0716796875   minimal norm  37.89752502626433\n",
      "Found minimum norm =  37.66183872399395  for s =  0.0658203125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0658203125   minimal norm  37.66183872399395\n",
      "Found minimum norm =  38.55271886467632  for s =  0.07324218750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.07324218750000001   minimal norm  38.55271886467632\n",
      "Found minimum norm =  37.66183872399395  for s =  0.0658203125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0658203125   minimal norm  37.66183872399395\n",
      "Found minimum norm =  37.760748027313106  for s =  0.06503906250000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.06503906250000001   minimal norm  37.760748027313106\n",
      "Found minimum norm =  38.01947769588084  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0705078125   minimal norm  38.01947769588084\n",
      "Found minimum norm =  39.18935767112594  for s =  0.07402343750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.07402343750000001   minimal norm  39.18935767112594\n",
      "Found minimum norm =  37.61592530773182  for s =  0.0666015625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0666015625   minimal norm  37.61592530773182\n",
      "Found minimum norm =  37.72441815731783  for s =  0.0658203125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0658203125   minimal norm  37.72441815731783\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  37.378217477710535  for s =  0.0623046875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0623046875   minimal norm  37.378217477710535\n",
      "Found minimum norm =  38.38718289909952  for s =  0.0666015625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0666015625   minimal norm  38.38718289909952\n",
      "Found minimum norm =  38.01015991378071  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0705078125   minimal norm  38.01015991378071\n",
      "Found minimum norm =  38.12031447294629  for s =  0.0697265625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0697265625   minimal norm  38.12031447294629\n",
      "Found minimum norm =  38.66709920931766  for s =  0.07207031250000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.07207031250000001   minimal norm  38.66709920931766\n",
      "Found minimum norm =  39.780543235651066  for s =  0.07324218750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.07324218750000001   minimal norm  39.780543235651066\n",
      "Found minimum norm =  37.991042178232235  for s =  0.08066406250000002\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.08066406250000002   minimal norm  37.991042178232235\n",
      "Found minimum norm =  38.140626106112265  for s =  0.07910156250000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.07910156250000001   minimal norm  38.140626106112265\n",
      "Found minimum norm =  38.01947769588084  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0705078125   minimal norm  38.01947769588084\n",
      "Found minimum norm =  38.76675097639218  for s =  0.08300781250000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.08300781250000001   minimal norm  38.76675097639218\n",
      "Found minimum norm =  38.010159913780704  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0705078125   minimal norm  38.010159913780704\n",
      "Found minimum norm =  38.12031447294628  for s =  0.0697265625\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0697265625   minimal norm  38.12031447294628\n",
      "Found minimum norm =  38.2718798645793  for s =  0.07832031250000002\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.07832031250000002   minimal norm  38.2718798645793\n",
      "Found minimum norm =  39.362425694977624  for s =  0.0873046875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.0873046875   minimal norm  39.362425694977624\n",
      "Found minimum norm =  38.60691250585304  for s =  0.0849609375\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0849609375   minimal norm  38.60691250585304\n",
      "Found minimum norm =  38.76675097639219  for s =  0.08300781250000001\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.08300781250000001   minimal norm  38.76675097639219\n",
      "Found minimum norm =  38.66709920931767  for s =  0.07207031250000001\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.07207031250000001   minimal norm  38.66709920931767\n",
      "Found minimum norm =  39.362425694977624  for s =  0.0873046875\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0873046875   minimal norm  39.362425694977624\n",
      "Found minimum norm =  39.21093885006844  for s =  0.08964843750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.08964843750000001   minimal norm  39.21093885006844\n",
      "Found minimum norm =  39.362425694977624  for s =  0.0873046875\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0873046875   minimal norm  39.362425694977624\n",
      "Found minimum norm =  39.80037721946124  for s =  0.0943359375\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0943359375   minimal norm  39.80037721946124\n",
      "Found minimum norm =  38.58681801731143  for s =  0.1240234375\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.1240234375   minimal norm  38.58681801731143\n",
      "Found minimum norm =  37.83648045367142  for s =  0.08183593750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.08183593750000001   minimal norm  37.83648045367142\n",
      "Found minimum norm =  37.991042178232256  for s =  0.08066406250000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.08066406250000002   minimal norm  37.991042178232256\n",
      "Found minimum norm =  37.89752502626433  for s =  0.0716796875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0716796875   minimal norm  37.89752502626433\n",
      "Found minimum norm =  38.606912505853046  for s =  0.0849609375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0849609375   minimal norm  38.606912505853046\n",
      "Found minimum norm =  37.897525026264326  for s =  0.0716796875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0716796875   minimal norm  37.897525026264326\n",
      "Found minimum norm =  38.01015991378071  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0705078125   minimal norm  38.01015991378071\n",
      "Found minimum norm =  38.14062610611227  for s =  0.07910156250000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.07910156250000001   minimal norm  38.14062610611227\n",
      "Found minimum norm =  39.210938850068445  for s =  0.08964843750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.08964843750000001   minimal norm  39.210938850068445\n",
      "Found minimum norm =  37.89752502626433  for s =  0.0716796875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0716796875   minimal norm  37.89752502626433\n",
      "Found minimum norm =  38.019477695880845  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0705078125   minimal norm  38.019477695880845\n",
      "Found minimum norm =  37.72441815731783  for s =  0.0658203125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0658203125   minimal norm  37.72441815731783\n",
      "Found minimum norm =  38.66709920931767  for s =  0.07207031250000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.07207031250000001   minimal norm  38.66709920931767\n",
      "Found minimum norm =  38.14062610611227  for s =  0.07910156250000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.07910156250000001   minimal norm  38.14062610611227\n",
      "Found minimum norm =  38.27187986457928  for s =  0.07832031250000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.07832031250000002   minimal norm  38.27187986457928\n",
      "Found minimum norm =  38.76675097639218  for s =  0.08300781250000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.08300781250000001   minimal norm  38.76675097639218\n",
      "Found minimum norm =  39.80037721946124  for s =  0.0943359375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0943359375   minimal norm  39.80037721946124\n",
      "Found minimum norm =  37.88758515279913  for s =  0.0716796875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0716796875   minimal norm  37.88758515279913\n",
      "Found minimum norm =  38.01015991378071  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0705078125   minimal norm  38.01015991378071\n",
      "Found minimum norm =  37.7607480273131  for s =  0.06503906250000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.06503906250000001   minimal norm  37.7607480273131\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  38.66709920931767  for s =  0.07207031250000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.07207031250000001   minimal norm  38.66709920931767\n",
      "Found minimum norm =  37.717162033948426  for s =  0.0658203125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0658203125   minimal norm  37.717162033948426\n",
      "Found minimum norm =  37.81639673210904  for s =  0.0654296875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0654296875   minimal norm  37.81639673210904\n",
      "Found minimum norm =  38.12031447294628  for s =  0.0697265625\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0697265625   minimal norm  38.12031447294628\n",
      "Found minimum norm =  39.293335372991606  for s =  0.07285156250000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.07285156250000001   minimal norm  39.293335372991606\n",
      "Found minimum norm =  38.12622872561699  for s =  0.07949218750000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.07949218750000002   minimal norm  38.12622872561699\n",
      "Found minimum norm =  38.2718798645793  for s =  0.07832031250000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.07832031250000002   minimal norm  38.2718798645793\n",
      "Found minimum norm =  38.120314472946276  for s =  0.0697265625\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0697265625   minimal norm  38.120314472946276\n",
      "Found minimum norm =  38.88893375745819  for s =  0.08183593750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.08183593750000001   minimal norm  38.88893375745819\n",
      "Found minimum norm =  38.74999135442724  for s =  0.0833984375\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0833984375   minimal norm  38.74999135442724\n",
      "Found minimum norm =  38.88893375745819  for s =  0.08183593750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.08183593750000001   minimal norm  38.88893375745819\n",
      "Found minimum norm =  39.36242569497762  for s =  0.0873046875\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0873046875   minimal norm  39.36242569497762\n",
      "Found minimum norm =  37.7985041082535  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0998046875   minimal norm  37.7985041082535\n",
      "Found minimum norm =  38.44028197459413  for s =  0.08652343750000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.08652343750000001   minimal norm  38.44028197459413\n",
      "Found minimum norm =  38.606912505853046  for s =  0.0849609375\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0849609375   minimal norm  38.606912505853046\n",
      "Found minimum norm =  38.55271886467632  for s =  0.07324218750000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.07324218750000001   minimal norm  38.55271886467632\n",
      "Found minimum norm =  39.210938850068445  for s =  0.08964843750000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.08964843750000001   minimal norm  39.210938850068445\n",
      "Found minimum norm =  38.55271886467632  for s =  0.07324218750000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.07324218750000001   minimal norm  38.55271886467632\n",
      "Found minimum norm =  38.66709920931767  for s =  0.07207031250000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.07207031250000001   minimal norm  38.66709920931767\n",
      "Found minimum norm =  38.76675097639218  for s =  0.08300781250000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.08300781250000001   minimal norm  38.76675097639218\n",
      "Found minimum norm =  39.80037721946124  for s =  0.0943359375\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0943359375   minimal norm  39.80037721946124\n",
      "Found minimum norm =  38.54213300323051  for s =  0.07324218750000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.07324218750000001   minimal norm  38.54213300323051\n",
      "Found minimum norm =  38.66709920931767  for s =  0.07207031250000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.07207031250000001   minimal norm  38.66709920931767\n",
      "Found minimum norm =  38.38718289909952  for s =  0.0666015625\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0666015625   minimal norm  38.38718289909952\n",
      "Found minimum norm =  39.293335372991606  for s =  0.07285156250000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.07285156250000001   minimal norm  39.293335372991606\n",
      "Found minimum norm =  38.749991354427245  for s =  0.0833984375\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0833984375   minimal norm  38.749991354427245\n",
      "Found minimum norm =  38.88893375745819  for s =  0.08183593750000001\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.08183593750000001   minimal norm  38.88893375745819\n",
      "Found minimum norm =  39.36242569497762  for s =  0.0873046875\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0873046875   minimal norm  39.36242569497762\n",
      "Found minimum norm =  37.7985041082535  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0998046875   minimal norm  37.7985041082535\n",
      "Found minimum norm =  39.030134887388634  for s =  0.09238281250000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.09238281250000001   minimal norm  39.030134887388634\n",
      "Found minimum norm =  39.21093885006844  for s =  0.08964843750000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.08964843750000001   minimal norm  39.21093885006844\n",
      "Found minimum norm =  39.18935767112594  for s =  0.07402343750000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.07402343750000001   minimal norm  39.18935767112594\n",
      "Found minimum norm =  39.80037721946124  for s =  0.0943359375\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0943359375   minimal norm  39.80037721946124\n",
      "Found minimum norm =  39.17852624243459  for s =  0.07402343750000001\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.07402343750000001   minimal norm  39.17852624243459\n",
      "Found minimum norm =  39.2933353729916  for s =  0.07285156250000001\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.07285156250000001   minimal norm  39.2933353729916\n",
      "Found minimum norm =  39.362425694977624  for s =  0.0873046875\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0873046875   minimal norm  39.362425694977624\n",
      "Found minimum norm =  37.798504108253496  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0998046875   minimal norm  37.798504108253496\n",
      "Found minimum norm =  39.60371565793421  for s =  0.0990234375\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0990234375   minimal norm  39.60371565793421\n",
      "Found minimum norm =  39.80037721946124  for s =  0.0943359375\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0943359375   minimal norm  39.80037721946124\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  39.780543235651066  for s =  0.07324218750000001\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.07324218750000001   minimal norm  39.780543235651066\n",
      "Found minimum norm =  37.7985041082535  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0998046875   minimal norm  37.7985041082535\n",
      "Found minimum norm =  40.162213184577865  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0998046875   minimal norm  40.162213184577865\n",
      "Found minimum norm =  37.7985041082535  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0998046875   minimal norm  37.7985041082535\n",
      "Found minimum norm =  38.58681801731143  for s =  0.1240234375\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.1240234375   minimal norm  38.58681801731143\n",
      "Found minimum norm =  40.792156108742276  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  40.792156108742276\n",
      "Found minimum norm =  30.100024767682704  for s =  0.0615234375\n",
      "Found that canonical is better because  30.100024767682704 37.378217477710535\n",
      "Found minimum norm =  30.100024767682704  for s =  0.0615234375\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  1\n",
      "Found minimum norm =  28.309856303521162  for s =  0.0873046875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0873046875   minimal norm  28.309856303521162\n",
      "Found minimum norm =  28.619677678724578  for s =  0.0841796875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0841796875   minimal norm  28.619677678724578\n",
      "Found minimum norm =  28.517899952332108  for s =  0.08183593750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.08183593750000001   minimal norm  28.517899952332108\n",
      "Found minimum norm =  29.20558094046746  for s =  0.07910156250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.07910156250000001   minimal norm  29.20558094046746\n",
      "Found minimum norm =  28.67058641881244  for s =  0.07910156250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.07910156250000001   minimal norm  28.67058641881244\n",
      "Found minimum norm =  28.788925735011752  for s =  0.08066406250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.08066406250000002   minimal norm  28.788925735011752\n",
      "Found minimum norm =  29.254635136865595  for s =  0.07363281250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.07363281250000002   minimal norm  29.254635136865595\n",
      "Found minimum norm =  29.41832832589333  for s =  0.07832031250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.07832031250000002   minimal norm  29.41832832589333\n",
      "Found minimum norm =  28.66639080414624  for s =  0.07910156250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.07910156250000001   minimal norm  28.66639080414624\n",
      "Found minimum norm =  28.92644717082991  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.07480468750000001   minimal norm  28.92644717082991\n",
      "Found minimum norm =  28.66220367462793  for s =  0.07910156250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.07910156250000001   minimal norm  28.66220367462793\n",
      "Found minimum norm =  29.419932251267486  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.07480468750000001   minimal norm  29.419932251267486\n",
      "Found minimum norm =  29.386736140612964  for s =  0.0697265625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0697265625   minimal norm  29.386736140612964\n",
      "Found minimum norm =  29.492482319297686  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0705078125   minimal norm  29.492482319297686\n",
      "Found minimum norm =  29.670516997385615  for s =  0.0697265625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0697265625   minimal norm  29.670516997385615\n",
      "Found minimum norm =  29.243277530487067  for s =  0.07988281250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.07988281250000002   minimal norm  29.243277530487067\n",
      "Found minimum norm =  28.67058641881244  for s =  0.07910156250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.07910156250000001   minimal norm  28.67058641881244\n",
      "Found minimum norm =  28.948884185934627  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.07480468750000001   minimal norm  28.948884185934627\n",
      "Found minimum norm =  28.782102214683423  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.07480468750000001   minimal norm  28.782102214683423\n",
      "Found minimum norm =  29.527453802784876  for s =  0.06894531250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.06894531250000001   minimal norm  29.527453802784876\n",
      "Found minimum norm =  28.80485225295942  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.07480468750000001   minimal norm  28.80485225295942\n",
      "Found minimum norm =  28.933483109266312  for s =  0.07753906250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.07753906250000002   minimal norm  28.933483109266312\n",
      "Found minimum norm =  29.359934805726773  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0705078125   minimal norm  29.359934805726773\n",
      "Found minimum norm =  29.879212967338248  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0498046875   minimal norm  29.879212967338248\n",
      "Found minimum norm =  29.386736140612964  for s =  0.0697265625\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0697265625   minimal norm  29.386736140612964\n",
      "Found minimum norm =  29.676884140678393  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0498046875   minimal norm  29.676884140678393\n",
      "Found minimum norm =  29.371515087225273  for s =  0.0701171875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0701171875   minimal norm  29.371515087225273\n",
      "Found minimum norm =  29.971567175580496  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0498046875   minimal norm  29.971567175580496\n",
      "Found minimum norm =  29.834780085427454  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0498046875   minimal norm  29.834780085427454\n",
      "Found minimum norm =  29.9135618170417  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0498046875   minimal norm  29.9135618170417\n",
      "Found minimum norm =  30.01381921188974  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0498046875   minimal norm  30.01381921188974\n",
      "Found minimum norm =  28.747825751983985  for s =  0.0873046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0873046875   minimal norm  28.747825751983985\n",
      "Found minimum norm =  28.51789995233211  for s =  0.08183593750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.08183593750000001   minimal norm  28.51789995233211\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  28.81242853149123  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.07871093750000001   minimal norm  28.81242853149123\n",
      "Found minimum norm =  28.66998087306494  for s =  0.07753906250000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.07753906250000002   minimal norm  28.66998087306494\n",
      "Found minimum norm =  29.43447885269457  for s =  0.0724609375\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0724609375   minimal norm  29.43447885269457\n",
      "Found minimum norm =  28.782102214683423  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.07480468750000001   minimal norm  28.782102214683423\n",
      "Found minimum norm =  28.90879969817756  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.07480468750000001   minimal norm  28.90879969817756\n",
      "Found minimum norm =  29.349857335762287  for s =  0.0693359375\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0693359375   minimal norm  29.349857335762287\n",
      "Found minimum norm =  29.865558689734776  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0498046875   minimal norm  29.865558689734776\n",
      "Found minimum norm =  28.662203674627925  for s =  0.07910156250000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.07910156250000001   minimal norm  28.662203674627925\n",
      "Found minimum norm =  28.92051101538583  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.07480468750000001   minimal norm  28.92051101538583\n",
      "Found minimum norm =  28.657535346090437  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.07871093750000001   minimal norm  28.657535346090437\n",
      "Found minimum norm =  29.419791537757973  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.07480468750000001   minimal norm  29.419791537757973\n",
      "Found minimum norm =  29.37151508722527  for s =  0.0701171875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0701171875   minimal norm  29.37151508722527\n",
      "Found minimum norm =  29.481244333014253  for s =  0.07128906250000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.07128906250000001   minimal norm  29.481244333014253\n",
      "Found minimum norm =  29.673559541608  for s =  0.0701171875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0701171875   minimal norm  29.673559541608\n",
      "Found minimum norm =  29.937293057977104  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0498046875   minimal norm  29.937293057977104\n",
      "Found minimum norm =  29.2546351368656  for s =  0.07363281250000002\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.07363281250000002   minimal norm  29.2546351368656\n",
      "Found minimum norm =  29.49905366771608  for s =  0.0685546875\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0685546875   minimal norm  29.49905366771608\n",
      "Found minimum norm =  29.34985733576229  for s =  0.0693359375\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0693359375   minimal norm  29.34985733576229\n",
      "Found minimum norm =  29.957694627902754  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0498046875   minimal norm  29.957694627902754\n",
      "Found minimum norm =  29.359934805726777  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0705078125   minimal norm  29.359934805726777\n",
      "Found minimum norm =  29.489159143028886  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0705078125   minimal norm  29.489159143028886\n",
      "Found minimum norm =  29.85058676445933  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0498046875   minimal norm  29.85058676445933\n",
      "Found minimum norm =  30.097059193127762  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.018554687500000003   minimal norm  30.097059193127762\n",
      "Found minimum norm =  29.670516997385615  for s =  0.0697265625\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0697265625   minimal norm  29.670516997385615\n",
      "Found minimum norm =  29.8962503105593  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0498046875   minimal norm  29.8962503105593\n",
      "Found minimum norm =  29.673559541608004  for s =  0.0701171875\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0701171875   minimal norm  29.673559541608004\n",
      "Found minimum norm =  30.100030894849404  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0001953125   minimal norm  30.100030894849404\n",
      "Found minimum norm =  30.013819211889732  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0498046875   minimal norm  30.013819211889732\n",
      "Found minimum norm =  30.07458280855921  for s =  0.04355468750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.04355468750000001   minimal norm  30.07458280855921\n",
      "Found minimum norm =  30.100025069213387  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0001953125   minimal norm  30.100025069213387\n",
      "Found minimum norm =  28.87610093931158  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0998046875   minimal norm  28.87610093931158\n",
      "Found minimum norm =  28.619677678724578  for s =  0.0841796875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0841796875   minimal norm  28.619677678724578\n",
      "Found minimum norm =  28.88146267449072  for s =  0.08027343750000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.08027343750000002   minimal norm  28.88146267449072\n",
      "Found minimum norm =  28.81242853149123  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.07871093750000001   minimal norm  28.81242853149123\n",
      "Found minimum norm =  29.32638040402549  for s =  0.07363281250000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.07363281250000002   minimal norm  29.32638040402549\n",
      "Found minimum norm =  28.948884185934627  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.07480468750000001   minimal norm  28.948884185934627\n",
      "Found minimum norm =  29.087578533592076  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.07480468750000001   minimal norm  29.087578533592076\n",
      "Found minimum norm =  29.499053667716083  for s =  0.0685546875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0685546875   minimal norm  29.499053667716083\n",
      "Found minimum norm =  29.24319149743434  for s =  0.07324218750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.07324218750000001   minimal norm  29.24319149743434\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  28.92644717082991  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.07480468750000001   minimal norm  28.92644717082991\n",
      "Found minimum norm =  29.175027420107675  for s =  0.07324218750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.07324218750000001   minimal norm  29.175027420107675\n",
      "Found minimum norm =  28.920511015385834  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.07480468750000001   minimal norm  28.920511015385834\n",
      "Found minimum norm =  29.665886345923333  for s =  0.06738281250000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.06738281250000001   minimal norm  29.665886345923333\n",
      "Found minimum norm =  29.676884140678396  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0498046875   minimal norm  29.676884140678396\n",
      "Found minimum norm =  29.76512101287424  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0498046875   minimal norm  29.76512101287424\n",
      "Found minimum norm =  29.896250310559296  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0498046875   minimal norm  29.896250310559296\n",
      "Found minimum norm =  28.84020818745107  for s =  0.0763671875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0763671875   minimal norm  28.84020818745107\n",
      "Found minimum norm =  28.788925735011755  for s =  0.08066406250000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.08066406250000002   minimal norm  28.788925735011755\n",
      "Found minimum norm =  29.087578533592076  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.07480468750000001   minimal norm  29.087578533592076\n",
      "Found minimum norm =  28.908799698177564  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.07480468750000001   minimal norm  28.908799698177564\n",
      "Found minimum norm =  29.7473578956417  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0498046875   minimal norm  29.7473578956417\n",
      "Found minimum norm =  28.933483109266312  for s =  0.07753906250000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.07753906250000002   minimal norm  28.933483109266312\n",
      "Found minimum norm =  29.065169205764604  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.07871093750000001   minimal norm  29.065169205764604\n",
      "Found minimum norm =  29.489159143028886  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0705078125   minimal norm  29.489159143028886\n",
      "Found minimum norm =  29.863833180645447  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0498046875   minimal norm  29.863833180645447\n",
      "Found minimum norm =  29.492482319297686  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0705078125   minimal norm  29.492482319297686\n",
      "Found minimum norm =  29.765121012874232  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0498046875   minimal norm  29.765121012874232\n",
      "Found minimum norm =  29.481244333014253  for s =  0.07128906250000001\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.07128906250000001   minimal norm  29.481244333014253\n",
      "Found minimum norm =  30.042913322516426  for s =  0.04550781250000001\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.04550781250000001   minimal norm  30.042913322516426\n",
      "Found minimum norm =  29.913561817041696  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0498046875   minimal norm  29.913561817041696\n",
      "Found minimum norm =  29.988519838139503  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0498046875   minimal norm  29.988519838139503\n",
      "Found minimum norm =  30.074582808559203  for s =  0.04355468750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.04355468750000001   minimal norm  30.074582808559203\n",
      "Found minimum norm =  28.434660387583932  for s =  0.0947265625\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0947265625   minimal norm  28.434660387583932\n",
      "Found minimum norm =  29.205580940467463  for s =  0.07910156250000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.07910156250000001   minimal norm  29.205580940467463\n",
      "Found minimum norm =  29.326380404025485  for s =  0.07363281250000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.07363281250000002   minimal norm  29.326380404025485\n",
      "Found minimum norm =  29.43447885269457  for s =  0.0724609375\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0724609375   minimal norm  29.43447885269457\n",
      "Found minimum norm =  29.39767482754686  for s =  0.0654296875\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0654296875   minimal norm  29.39767482754686\n",
      "Found minimum norm =  29.527453802784873  for s =  0.06894531250000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.06894531250000001   minimal norm  29.527453802784873\n",
      "Found minimum norm =  29.747357895641695  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0498046875   minimal norm  29.747357895641695\n",
      "Found minimum norm =  29.957694627902754  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0498046875   minimal norm  29.957694627902754\n",
      "Found minimum norm =  29.021245962927818  for s =  0.0677734375\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0677734375   minimal norm  29.021245962927818\n",
      "Found minimum norm =  29.419932251267486  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.07480468750000001   minimal norm  29.419932251267486\n",
      "Found minimum norm =  29.665886345923333  for s =  0.06738281250000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.06738281250000001   minimal norm  29.665886345923333\n",
      "Found minimum norm =  29.419791537757973  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.07480468750000001   minimal norm  29.419791537757973\n",
      "Found minimum norm =  29.935426926672875  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0498046875   minimal norm  29.935426926672875\n",
      "Found minimum norm =  29.971567175580493  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0498046875   minimal norm  29.971567175580493\n",
      "Found minimum norm =  30.042913322516434  for s =  0.04550781250000001\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.04550781250000001   minimal norm  30.042913322516434\n",
      "Found minimum norm =  30.100030894849404  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0001953125   minimal norm  30.100030894849404\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  28.332156409575685  for s =  0.08652343750000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.08652343750000001   minimal norm  28.332156409575685\n",
      "Found minimum norm =  29.418328325893334  for s =  0.07832031250000002\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.07832031250000002   minimal norm  29.418328325893334\n",
      "Found minimum norm =  29.24319149743434  for s =  0.07324218750000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.07324218750000001   minimal norm  29.24319149743434\n",
      "Found minimum norm =  29.86555868973478  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0498046875   minimal norm  29.86555868973478\n",
      "Found minimum norm =  29.021245962927814  for s =  0.0677734375\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0677734375   minimal norm  29.021245962927814\n",
      "Found minimum norm =  29.87921296733825  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0498046875   minimal norm  29.87921296733825\n",
      "Found minimum norm =  29.86383318064545  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0498046875   minimal norm  29.86383318064545\n",
      "Found minimum norm =  30.097059193127762  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.018554687500000003   minimal norm  30.097059193127762\n",
      "Found minimum norm =  28.331730828245387  for s =  0.08652343750000001\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.08652343750000001   minimal norm  28.331730828245387\n",
      "Found minimum norm =  29.24327753048707  for s =  0.07988281250000002\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.07988281250000002   minimal norm  29.24327753048707\n",
      "Found minimum norm =  28.840208187451072  for s =  0.0763671875\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0763671875   minimal norm  28.840208187451072\n",
      "Found minimum norm =  29.937293057977108  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0498046875   minimal norm  29.937293057977108\n",
      "Found minimum norm =  28.33215640957569  for s =  0.08652343750000001\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.08652343750000001   minimal norm  28.33215640957569\n",
      "Found minimum norm =  28.74782575198398  for s =  0.0873046875\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0873046875   minimal norm  28.74782575198398\n",
      "Found minimum norm =  28.43466038758393  for s =  0.0947265625\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0947265625   minimal norm  28.43466038758393\n",
      "Found minimum norm =  28.87610093931158  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0998046875   minimal norm  28.87610093931158\n",
      "Found minimum norm =  30.100024767682704  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  30.100024767682704\n",
      "Found minimum norm =  23.29154622353937  for s =  0.0380859375\n",
      "Found that canonical is better because  23.29154622353937 28.309856303521162\n",
      "Found minimum norm =  23.29154622353937  for s =  0.0380859375\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  2\n",
      "Found minimum norm =  23.2894376770868  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0033203125000000003   minimal norm  23.2894376770868\n",
      "Found minimum norm =  23.282886060897873  for s =  0.0068359375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0068359375   minimal norm  23.282886060897873\n",
      "Found minimum norm =  23.291483023245522  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0009765625   minimal norm  23.291483023245522\n",
      "Found minimum norm =  23.266976631360585  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.009960937500000003   minimal norm  23.266976631360585\n",
      "Found minimum norm =  23.29155311852936  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  23.29155311852936\n",
      "Found minimum norm =  23.29138432073033  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0009765625   minimal norm  23.29138432073033\n",
      "Found minimum norm =  23.291502851575824  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0005859375000000001   minimal norm  23.291502851575824\n",
      "Found minimum norm =  23.19507877292477  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.019335937500000004   minimal norm  23.19507877292477\n",
      "Found minimum norm =  23.291543720772513  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0001953125   minimal norm  23.291543720772513\n",
      "Found minimum norm =  23.29154139601237  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0001953125   minimal norm  23.29154139601237\n",
      "Found minimum norm =  23.291550658340352  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0001953125   minimal norm  23.291550658340352\n",
      "Found minimum norm =  23.290691377275557  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0021484375   minimal norm  23.290691377275557\n",
      "Found minimum norm =  23.291528898593786  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0001953125   minimal norm  23.291528898593786\n",
      "Found minimum norm =  23.29124874933604  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0009765625   minimal norm  23.29124874933604\n",
      "Found minimum norm =  23.291543454928107  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0001953125   minimal norm  23.291543454928107\n",
      "Found minimum norm =  22.878029892382575  for s =  0.040039062500000014\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.040039062500000014   minimal norm  22.878029892382575\n",
      "Found minimum norm =  23.291553118529364  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  23.291553118529364\n",
      "Found minimum norm =  23.2915418210727  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0001953125   minimal norm  23.2915418210727\n",
      "Found minimum norm =  23.291547946991347  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0001953125   minimal norm  23.291547946991347\n",
      "Found minimum norm =  23.291382839380834  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0009765625   minimal norm  23.291382839380834\n",
      "Found minimum norm =  23.291552733713953  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0001953125   minimal norm  23.291552733713953\n",
      "Found minimum norm =  23.29156034246835  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0001953125   minimal norm  23.29156034246835\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  23.291554799969216  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0001953125   minimal norm  23.291554799969216\n",
      "Found minimum norm =  23.283551319121674  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0064453125000000005   minimal norm  23.283551319121674\n",
      "Found minimum norm =  23.291528898593786  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0001953125   minimal norm  23.291528898593786\n",
      "Found minimum norm =  23.29142264269603  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0009765625   minimal norm  23.29142264269603\n",
      "Found minimum norm =  23.291551395374867  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0001953125   minimal norm  23.291551395374867\n",
      "Found minimum norm =  23.28958714510312  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0025390625000000005   minimal norm  23.28958714510312\n",
      "Found minimum norm =  23.291549933544946  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0001953125   minimal norm  23.291549933544946\n",
      "Found minimum norm =  23.291531296581457  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0001953125   minimal norm  23.291531296581457\n",
      "Found minimum norm =  23.291551184069245  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0001953125   minimal norm  23.291551184069245\n",
      "Found minimum norm =  22.589658064884297  for s =  0.05722656250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.05722656250000001   minimal norm  22.589658064884297\n",
      "Found minimum norm =  23.291483023245526  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0009765625   minimal norm  23.291483023245526\n",
      "Found minimum norm =  23.29123652158588  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0017578125   minimal norm  23.29123652158588\n",
      "Found minimum norm =  23.291544394858203  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0001953125   minimal norm  23.291544394858203\n",
      "Found minimum norm =  23.290369916841502  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0025390625000000005   minimal norm  23.290369916841502\n",
      "Found minimum norm =  23.291547946991344  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0001953125   minimal norm  23.291547946991344\n",
      "Found minimum norm =  23.29154721448528  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0001953125   minimal norm  23.29154721448528\n",
      "Found minimum norm =  23.291550359680116  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0001953125   minimal norm  23.291550359680116\n",
      "Found minimum norm =  23.28200393977056  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0076171875   minimal norm  23.28200393977056\n",
      "Found minimum norm =  23.291550658340352  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0001953125   minimal norm  23.291550658340352\n",
      "Found minimum norm =  23.291558947081583  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0001953125   minimal norm  23.291558947081583\n",
      "Found minimum norm =  23.29154792886868  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0001953125   minimal norm  23.29154792886868\n",
      "Found minimum norm =  23.291544795997876  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0001953125   minimal norm  23.291544795997876\n",
      "Found minimum norm =  23.291551395374867  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0001953125   minimal norm  23.291551395374867\n",
      "Found minimum norm =  23.291548619230277  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0001953125   minimal norm  23.291548619230277\n",
      "Found minimum norm =  23.29155227509425  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0001953125   minimal norm  23.29155227509425\n",
      "Found minimum norm =  23.227405993364865  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0181640625   minimal norm  23.227405993364865\n",
      "Found minimum norm =  23.291502851575824  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0005859375000000001   minimal norm  23.291502851575824\n",
      "Found minimum norm =  23.291200365719213  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0013671875000000001   minimal norm  23.291200365719213\n",
      "Found minimum norm =  23.291550359680116  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0001953125   minimal norm  23.291550359680116\n",
      "Found minimum norm =  23.289402140304006  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0029296875   minimal norm  23.289402140304006\n",
      "Found minimum norm =  23.29155479996922  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0001953125   minimal norm  23.29155479996922\n",
      "Found minimum norm =  23.291550564236086  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0001953125   minimal norm  23.291550564236086\n",
      "Found minimum norm =  23.291558248429673  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0001953125   minimal norm  23.291558248429673\n",
      "Found minimum norm =  23.254357911926217  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.0107421875   minimal norm  23.254357911926217\n",
      "Found minimum norm =  23.291543454928107  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0001953125   minimal norm  23.291543454928107\n",
      "Found minimum norm =  23.29152807469913  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0001953125   minimal norm  23.29152807469913\n",
      "Found minimum norm =  23.29155227509425  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0001953125   minimal norm  23.29155227509425\n",
      "Found minimum norm =  23.291213830706138  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0009765625   minimal norm  23.291213830706138\n",
      "Found minimum norm =  23.291551184069245  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0001953125   minimal norm  23.291551184069245\n",
      "Found minimum norm =  23.29154768609545  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0001953125   minimal norm  23.29154768609545\n",
      "Found minimum norm =  23.2915525427354  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0001953125   minimal norm  23.2915525427354\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  22.32439114087505  for s =  0.08222656250000002\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.08222656250000002   minimal norm  22.32439114087505\n",
      "Found minimum norm =  23.282886060897873  for s =  0.0068359375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0068359375   minimal norm  23.282886060897873\n",
      "Found minimum norm =  23.259167491557964  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.0138671875   minimal norm  23.259167491557964\n",
      "Found minimum norm =  23.291236521585876  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0017578125   minimal norm  23.291236521585876\n",
      "Found minimum norm =  23.200867534489706  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.018945312500000002   minimal norm  23.200867534489706\n",
      "Found minimum norm =  23.2915418210727  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0001953125   minimal norm  23.2915418210727\n",
      "Found minimum norm =  23.290345404907534  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0033203125000000003   minimal norm  23.290345404907534\n",
      "Found minimum norm =  23.291200365719213  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0013671875000000001   minimal norm  23.291200365719213\n",
      "Found minimum norm =  22.898304055829524  for s =  0.03769531250000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.03769531250000001   minimal norm  22.898304055829524\n",
      "Found minimum norm =  23.291541396012367  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0001953125   minimal norm  23.291541396012367\n",
      "Found minimum norm =  23.291091401139397  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0029296875   minimal norm  23.291091401139397\n",
      "Found minimum norm =  23.291558947081587  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0001953125   minimal norm  23.291558947081587\n",
      "Found minimum norm =  23.28379601265033  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0064453125000000005   minimal norm  23.28379601265033\n",
      "Found minimum norm =  23.29142264269603  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0009765625   minimal norm  23.29142264269603\n",
      "Found minimum norm =  23.2892469985221  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0029296875   minimal norm  23.2892469985221\n",
      "Found minimum norm =  23.29152807469913  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0001953125   minimal norm  23.29152807469913\n",
      "Found minimum norm =  22.618032657124466  for s =  0.0537109375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0537109375   minimal norm  22.618032657124466\n",
      "Found minimum norm =  23.29138432073033  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0009765625   minimal norm  23.29138432073033\n",
      "Found minimum norm =  23.290345404907534  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0033203125000000003   minimal norm  23.290345404907534\n",
      "Found minimum norm =  23.29154721448528  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0001953125   minimal norm  23.29154721448528\n",
      "Found minimum norm =  23.284479976376232  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0060546875   minimal norm  23.284479976376232\n",
      "Found minimum norm =  23.291560342468347  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0001953125   minimal norm  23.291560342468347\n",
      "Found minimum norm =  23.29155052084527  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0001953125   minimal norm  23.29155052084527\n",
      "Found minimum norm =  23.291550564236086  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0001953125   minimal norm  23.291550564236086\n",
      "Found minimum norm =  23.23275038574852  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0158203125   minimal norm  23.23275038574852\n",
      "Found minimum norm =  23.29124874933604  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0009765625   minimal norm  23.29124874933604\n",
      "Found minimum norm =  23.2892469985221  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0029296875   minimal norm  23.2892469985221\n",
      "Found minimum norm =  23.29154861923028  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0001953125   minimal norm  23.29154861923028\n",
      "Found minimum norm =  23.26248786341979  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0087890625   minimal norm  23.26248786341979\n",
      "Found minimum norm =  23.291531296581457  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0001953125   minimal norm  23.291531296581457\n",
      "Found minimum norm =  23.291269595006895  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0009765625   minimal norm  23.291269595006895\n",
      "Found minimum norm =  23.29154768609545  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0001953125   minimal norm  23.29154768609545\n",
      "Found minimum norm =  22.04836102394478  for s =  0.0693359375\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0693359375   minimal norm  22.04836102394478\n",
      "Found minimum norm =  23.266976631360585  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.009960937500000003   minimal norm  23.266976631360585\n",
      "Found minimum norm =  23.200867534489706  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.018945312500000002   minimal norm  23.200867534489706\n",
      "Found minimum norm =  23.2903699168415  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0025390625000000005   minimal norm  23.2903699168415\n",
      "Found minimum norm =  22.963981246305757  for s =  0.0310546875\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0310546875   minimal norm  22.963981246305757\n",
      "Found minimum norm =  23.291382839380834  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0009765625   minimal norm  23.291382839380834\n",
      "Found minimum norm =  23.284479976376232  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0060546875   minimal norm  23.284479976376232\n",
      "Found minimum norm =  23.289402140304006  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0029296875   minimal norm  23.289402140304006\n",
      "Found minimum norm =  22.678367613150463  for s =  0.0431640625\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0431640625   minimal norm  22.678367613150463\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  23.290691377275557  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0021484375   minimal norm  23.290691377275557\n",
      "Found minimum norm =  23.283796012650335  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0064453125000000005   minimal norm  23.283796012650335\n",
      "Found minimum norm =  23.291544795997876  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0001953125   minimal norm  23.291544795997876\n",
      "Found minimum norm =  23.245351840917838  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.012304687500000001   minimal norm  23.245351840917838\n",
      "Found minimum norm =  23.289587145103123  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0025390625000000005   minimal norm  23.289587145103123\n",
      "Found minimum norm =  23.262487863419786  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0087890625   minimal norm  23.262487863419786\n",
      "Found minimum norm =  23.29121383070614  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0009765625   minimal norm  23.29121383070614\n",
      "Found minimum norm =  21.696742281341866  for s =  0.06503906250000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.06503906250000001   minimal norm  21.696742281341866\n",
      "Found minimum norm =  23.19507877292477  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.019335937500000004   minimal norm  23.19507877292477\n",
      "Found minimum norm =  22.898304055829527  for s =  0.03769531250000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.03769531250000001   minimal norm  22.898304055829527\n",
      "Found minimum norm =  23.282003939770558  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0076171875   minimal norm  23.282003939770558\n",
      "Found minimum norm =  22.67836761315046  for s =  0.0431640625\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0431640625   minimal norm  22.67836761315046\n",
      "Found minimum norm =  23.283551319121674  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0064453125000000005   minimal norm  23.283551319121674\n",
      "Found minimum norm =  23.23275038574852  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0158203125   minimal norm  23.23275038574852\n",
      "Found minimum norm =  23.25435791192622  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0107421875   minimal norm  23.25435791192622\n",
      "Found minimum norm =  21.664356319857067  for s =  0.0642578125\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0642578125   minimal norm  21.664356319857067\n",
      "Found minimum norm =  22.878029892382575  for s =  0.040039062500000014\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.040039062500000014   minimal norm  22.878029892382575\n",
      "Found minimum norm =  22.618032657124466  for s =  0.0537109375\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0537109375   minimal norm  22.618032657124466\n",
      "Found minimum norm =  23.227405993364865  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0181640625   minimal norm  23.227405993364865\n",
      "Found minimum norm =  21.696742281341866  for s =  0.06503906250000001\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.06503906250000001   minimal norm  21.696742281341866\n",
      "Found minimum norm =  22.589658064884297  for s =  0.05722656250000001\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.05722656250000001   minimal norm  22.589658064884297\n",
      "Found minimum norm =  22.048361023944775  for s =  0.0693359375\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0693359375   minimal norm  22.048361023944775\n",
      "Found minimum norm =  22.324391140875047  for s =  0.08222656250000002\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.08222656250000002   minimal norm  22.324391140875047\n",
      "Found minimum norm =  23.29154622353937  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  23.29154622353937\n",
      "Found minimum norm =  18.95513793394524  for s =  0.0181640625\n",
      "Found that canonical is better because  18.95513793394524 21.664356319857067\n",
      "Found minimum norm =  18.95513793394524  for s =  0.0181640625\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  3\n",
      "Found minimum norm =  18.952702677788682  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0029296875   minimal norm  18.952702677788682\n",
      "Found minimum norm =  18.94526664870003  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0064453125000000005   minimal norm  18.94526664870003\n",
      "Found minimum norm =  18.955096942303296  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0005859375000000001   minimal norm  18.955096942303296\n",
      "Found minimum norm =  18.921334152808925  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0119140625   minimal norm  18.921334152808925\n",
      "Found minimum norm =  18.955171317521753  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  18.955171317521753\n",
      "Found minimum norm =  18.954923809341487  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0013671875000000001   minimal norm  18.954923809341487\n",
      "Found minimum norm =  18.954765363835207  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0013671875000000001   minimal norm  18.954765363835207\n",
      "Found minimum norm =  18.848506614040822  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.021679687500000003   minimal norm  18.848506614040822\n",
      "Found minimum norm =  18.955161770518373  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0001953125   minimal norm  18.955161770518373\n",
      "Found minimum norm =  18.955216645007244  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0001953125   minimal norm  18.955216645007244\n",
      "Found minimum norm =  18.954958394806393  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0013671875000000001   minimal norm  18.954958394806393\n",
      "Found minimum norm =  18.954863708000243  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0013671875000000001   minimal norm  18.954863708000243\n",
      "Found minimum norm =  18.954538342822897  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0017578125   minimal norm  18.954538342822897\n",
      "Found minimum norm =  18.952149541686307  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0037109375   minimal norm  18.952149541686307\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  18.955003202295867  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0009765625   minimal norm  18.955003202295867\n",
      "Found minimum norm =  18.730252142699868  for s =  0.03574218750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.03574218750000001   minimal norm  18.730252142699868\n",
      "Found minimum norm =  18.955171317521756  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  18.955171317521756\n",
      "Found minimum norm =  18.95521577581908  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0001953125   minimal norm  18.95521577581908\n",
      "Found minimum norm =  18.955056501910914  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0017578125   minimal norm  18.955056501910914\n",
      "Found minimum norm =  18.955472863770318  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0001953125   minimal norm  18.955472863770318\n",
      "Found minimum norm =  18.95477145058547  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0021484375   minimal norm  18.95477145058547\n",
      "Found minimum norm =  18.95423027627816  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0033203125000000003   minimal norm  18.95423027627816\n",
      "Found minimum norm =  18.95494221821744  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0009765625   minimal norm  18.95494221821744\n",
      "Found minimum norm =  18.955161718254413  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0001953125   minimal norm  18.955161718254413\n",
      "Found minimum norm =  18.954538342822897  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0017578125   minimal norm  18.954538342822897\n",
      "Found minimum norm =  18.95151141177365  for s =  0.004882812500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.004882812500000001   minimal norm  18.95151141177365\n",
      "Found minimum norm =  18.954896748957882  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0013671875000000001   minimal norm  18.954896748957882\n",
      "Found minimum norm =  18.940640336447878  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0080078125   minimal norm  18.940640336447878\n",
      "Found minimum norm =  18.95497253909549  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0009765625   minimal norm  18.95497253909549\n",
      "Found minimum norm =  18.954294512769852  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0021484375   minimal norm  18.954294512769852\n",
      "Found minimum norm =  18.955123574259964  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0001953125   minimal norm  18.955123574259964\n",
      "Found minimum norm =  18.31516069008231  for s =  0.0677734375\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0677734375   minimal norm  18.31516069008231\n",
      "Found minimum norm =  18.955096942303296  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0005859375000000001   minimal norm  18.955096942303296\n",
      "Found minimum norm =  18.95497820789976  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0009765625   minimal norm  18.95497820789976\n",
      "Found minimum norm =  18.955026240192765  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0013671875000000001   minimal norm  18.955026240192765\n",
      "Found minimum norm =  18.95505978920083  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0009765625   minimal norm  18.95505978920083\n",
      "Found minimum norm =  18.955056501910917  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0017578125   minimal norm  18.955056501910917\n",
      "Found minimum norm =  18.95499903220617  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0017578125   minimal norm  18.95499903220617\n",
      "Found minimum norm =  18.955122162288735  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0005859375000000001   minimal norm  18.955122162288735\n",
      "Found minimum norm =  18.955303871542984  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0001953125   minimal norm  18.955303871542984\n",
      "Found minimum norm =  18.954958394806393  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0013671875000000001   minimal norm  18.954958394806393\n",
      "Found minimum norm =  18.953951451746903  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0044921875000000005   minimal norm  18.953951451746903\n",
      "Found minimum norm =  18.95512169114223  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0005859375000000001   minimal norm  18.95512169114223\n",
      "Found minimum norm =  18.951602750386545  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0052734375   minimal norm  18.951602750386545\n",
      "Found minimum norm =  18.954896748957882  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0013671875000000001   minimal norm  18.954896748957882\n",
      "Found minimum norm =  18.95400044121292  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0025390625000000005   minimal norm  18.95400044121292\n",
      "Found minimum norm =  18.955051616209253  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0005859375000000001   minimal norm  18.955051616209253\n",
      "Found minimum norm =  18.911688550022742  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.016992187500000002   minimal norm  18.911688550022742\n",
      "Found minimum norm =  18.954765363835207  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0013671875000000001   minimal norm  18.954765363835207\n",
      "Found minimum norm =  18.95268701318273  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0037109375   minimal norm  18.95268701318273\n",
      "Found minimum norm =  18.955122162288735  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0005859375000000001   minimal norm  18.955122162288735\n",
      "Found minimum norm =  18.941899211283662  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0087890625   minimal norm  18.941899211283662\n",
      "Found minimum norm =  18.954942218217436  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0009765625   minimal norm  18.954942218217436\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  18.953944602268955  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0029296875   minimal norm  18.953944602268955\n",
      "Found minimum norm =  18.95506136445197  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0005859375000000001   minimal norm  18.95506136445197\n",
      "Found minimum norm =  18.872552834606235  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.018554687500000003   minimal norm  18.872552834606235\n",
      "Found minimum norm =  18.955003202295863  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0009765625   minimal norm  18.955003202295863\n",
      "Found minimum norm =  18.954204181555603  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0025390625000000005   minimal norm  18.954204181555603\n",
      "Found minimum norm =  18.955051616209253  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0005859375000000001   minimal norm  18.955051616209253\n",
      "Found minimum norm =  18.951254589690652  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0041015625   minimal norm  18.951254589690652\n",
      "Found minimum norm =  18.955123574259964  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0001953125   minimal norm  18.955123574259964\n",
      "Found minimum norm =  18.955081052002246  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0005859375000000001   minimal norm  18.955081052002246\n",
      "Found minimum norm =  18.955143022463893  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0001953125   minimal norm  18.955143022463893\n",
      "Found minimum norm =  18.235957642752474  for s =  0.09082031250000001\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.09082031250000001   minimal norm  18.235957642752474\n",
      "Found minimum norm =  18.94526664870003  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0064453125000000005   minimal norm  18.94526664870003\n",
      "Found minimum norm =  18.918691435305245  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.013085937500000002   minimal norm  18.918691435305245\n",
      "Found minimum norm =  18.95497820789976  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0009765625   minimal norm  18.95497820789976\n",
      "Found minimum norm =  18.839244510382066  for s =  0.0232421875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0232421875   minimal norm  18.839244510382066\n",
      "Found minimum norm =  18.95521577581908  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0001953125   minimal norm  18.95521577581908\n",
      "Found minimum norm =  18.954641620418176  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0021484375   minimal norm  18.954641620418176\n",
      "Found minimum norm =  18.952687013182732  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0037109375   minimal norm  18.952687013182732\n",
      "Found minimum norm =  18.71689041835728  for s =  0.0349609375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0349609375   minimal norm  18.71689041835728\n",
      "Found minimum norm =  18.955216645007244  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0001953125   minimal norm  18.955216645007244\n",
      "Found minimum norm =  18.955405656767766  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0001953125   minimal norm  18.955405656767766\n",
      "Found minimum norm =  18.953951451746907  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0044921875000000005   minimal norm  18.953951451746907\n",
      "Found minimum norm =  18.95498400484708  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0009765625   minimal norm  18.95498400484708\n",
      "Found minimum norm =  18.95151141177365  for s =  0.004882812500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.004882812500000001   minimal norm  18.95151141177365\n",
      "Found minimum norm =  18.9367947956264  for s =  0.010351562500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.010351562500000001   minimal norm  18.9367947956264\n",
      "Found minimum norm =  18.954204181555607  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0025390625000000005   minimal norm  18.954204181555607\n",
      "Found minimum norm =  18.414327760469728  for s =  0.061132812499999994\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.061132812499999994   minimal norm  18.414327760469728\n",
      "Found minimum norm =  18.954923809341484  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0013671875000000001   minimal norm  18.954923809341484\n",
      "Found minimum norm =  18.95464162041818  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0021484375   minimal norm  18.95464162041818\n",
      "Found minimum norm =  18.954999032206175  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0017578125   minimal norm  18.954999032206175\n",
      "Found minimum norm =  18.95515648499566  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0001953125   minimal norm  18.95515648499566\n",
      "Found minimum norm =  18.95423027627816  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0033203125000000003   minimal norm  18.95423027627816\n",
      "Found minimum norm =  18.949704949302706  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0076171875   minimal norm  18.949704949302706\n",
      "Found minimum norm =  18.953944602268955  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0029296875   minimal norm  18.953944602268955\n",
      "Found minimum norm =  18.901225119523165  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.017773437500000003   minimal norm  18.901225119523165\n",
      "Found minimum norm =  18.952149541686307  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0037109375   minimal norm  18.952149541686307\n",
      "Found minimum norm =  18.9367947956264  for s =  0.010351562500000001\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.010351562500000001   minimal norm  18.9367947956264\n",
      "Found minimum norm =  18.954000441212916  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0025390625000000005   minimal norm  18.954000441212916\n",
      "Found minimum norm =  18.85779326911968  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.019726562500000003   minimal norm  18.85779326911968\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  18.954294512769852  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0021484375   minimal norm  18.954294512769852\n",
      "Found minimum norm =  18.950380819015276  for s =  0.004882812500000001\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.004882812500000001   minimal norm  18.950380819015276\n",
      "Found minimum norm =  18.955081052002246  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0005859375000000001   minimal norm  18.955081052002246\n",
      "Found minimum norm =  18.246290620480295  for s =  0.0677734375\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0677734375   minimal norm  18.246290620480295\n",
      "Found minimum norm =  18.921334152808925  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0119140625   minimal norm  18.921334152808925\n",
      "Found minimum norm =  18.839244510382066  for s =  0.0232421875\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0232421875   minimal norm  18.839244510382066\n",
      "Found minimum norm =  18.95505978920083  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0009765625   minimal norm  18.95505978920083\n",
      "Found minimum norm =  18.703524820275916  for s =  0.0349609375\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0349609375   minimal norm  18.703524820275916\n",
      "Found minimum norm =  18.955472863770318  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0001953125   minimal norm  18.955472863770318\n",
      "Found minimum norm =  18.95515648499566  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0001953125   minimal norm  18.95515648499566\n",
      "Found minimum norm =  18.941899211283662  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0087890625   minimal norm  18.941899211283662\n",
      "Found minimum norm =  18.408385975028207  for s =  0.0544921875\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0544921875   minimal norm  18.408385975028207\n",
      "Found minimum norm =  18.954863708000246  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0013671875000000001   minimal norm  18.954863708000246\n",
      "Found minimum norm =  18.95498400484708  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0009765625   minimal norm  18.95498400484708\n",
      "Found minimum norm =  18.951602750386545  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0052734375   minimal norm  18.951602750386545\n",
      "Found minimum norm =  18.89299516495191  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.017773437500000003   minimal norm  18.89299516495191\n",
      "Found minimum norm =  18.940640336447878  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0080078125   minimal norm  18.940640336447878\n",
      "Found minimum norm =  18.85779326911968  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.019726562500000003   minimal norm  18.85779326911968\n",
      "Found minimum norm =  18.951254589690652  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0041015625   minimal norm  18.951254589690652\n",
      "Found minimum norm =  18.097317669392364  for s =  0.0623046875\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0623046875   minimal norm  18.097317669392364\n",
      "Found minimum norm =  18.848506614040822  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.021679687500000003   minimal norm  18.848506614040822\n",
      "Found minimum norm =  18.71689041835728  for s =  0.0349609375\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0349609375   minimal norm  18.71689041835728\n",
      "Found minimum norm =  18.95530387154298  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0001953125   minimal norm  18.95530387154298\n",
      "Found minimum norm =  18.40838597502821  for s =  0.0544921875\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0544921875   minimal norm  18.40838597502821\n",
      "Found minimum norm =  18.955161718254413  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0001953125   minimal norm  18.955161718254413\n",
      "Found minimum norm =  18.901225119523165  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.017773437500000003   minimal norm  18.901225119523165\n",
      "Found minimum norm =  18.872552834606235  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.018554687500000003   minimal norm  18.872552834606235\n",
      "Found minimum norm =  18.03876662076129  for s =  0.05996093749999999\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.05996093749999999   minimal norm  18.03876662076129\n",
      "Found minimum norm =  18.73025214269987  for s =  0.03574218750000001\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.03574218750000001   minimal norm  18.73025214269987\n",
      "Found minimum norm =  18.414327760469728  for s =  0.061132812499999994\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.061132812499999994   minimal norm  18.414327760469728\n",
      "Found minimum norm =  18.911688550022742  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.016992187500000002   minimal norm  18.911688550022742\n",
      "Found minimum norm =  18.097317669392364  for s =  0.0623046875\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0623046875   minimal norm  18.097317669392364\n",
      "Found minimum norm =  18.31516069008231  for s =  0.0677734375\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0677734375   minimal norm  18.31516069008231\n",
      "Found minimum norm =  18.24629062048029  for s =  0.0677734375\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0677734375   minimal norm  18.24629062048029\n",
      "Found minimum norm =  18.235957642752474  for s =  0.09082031250000001\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.09082031250000001   minimal norm  18.235957642752474\n",
      "Found minimum norm =  18.95513793394524  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  18.95513793394524\n",
      "Found minimum norm =  16.68974814631476  for s =  0.015039062499999999\n",
      "Found that canonical is better because  16.68974814631476 18.03876662076129\n",
      "Found minimum norm =  16.68974814631476  for s =  0.015039062499999999\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  4\n",
      "Found minimum norm =  16.67953719476204  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0060546875   minimal norm  16.67953719476204\n",
      "Found minimum norm =  16.655236054739675  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0119140625   minimal norm  16.655236054739675\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  16.687561958792788  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0033203125000000003   minimal norm  16.687561958792788\n",
      "Found minimum norm =  16.61011979193071  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.018554687500000003   minimal norm  16.61011979193071\n",
      "Found minimum norm =  16.6874341079452  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0037109375   minimal norm  16.6874341079452\n",
      "Found minimum norm =  16.677428330381606  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.009179687500000002   minimal norm  16.677428330381606\n",
      "Found minimum norm =  16.68607183917405  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0041015625   minimal norm  16.68607183917405\n",
      "Found minimum norm =  16.59140990122592  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0212890625   minimal norm  16.59140990122592\n",
      "Found minimum norm =  16.688329751275326  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0033203125000000003   minimal norm  16.688329751275326\n",
      "Found minimum norm =  16.687071938339496  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0052734375   minimal norm  16.687071938339496\n",
      "Found minimum norm =  16.68445551397869  for s =  0.0068359375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0068359375   minimal norm  16.68445551397869\n",
      "Found minimum norm =  16.68388109798562  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0064453125000000005   minimal norm  16.68388109798562\n",
      "Found minimum norm =  16.684385031011995  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0052734375   minimal norm  16.684385031011995\n",
      "Found minimum norm =  16.675276069615542  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.009179687500000002   minimal norm  16.675276069615542\n",
      "Found minimum norm =  16.68704726963002  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0041015625   minimal norm  16.68704726963002\n",
      "Found minimum norm =  16.589503996654468  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.024804687500000002   minimal norm  16.589503996654468\n",
      "Found minimum norm =  16.687434107945197  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0037109375   minimal norm  16.687434107945197\n",
      "Found minimum norm =  16.68601998001921  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0052734375   minimal norm  16.68601998001921\n",
      "Found minimum norm =  16.687535255465015  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0060546875   minimal norm  16.687535255465015\n",
      "Found minimum norm =  16.689908365176247  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0001953125   minimal norm  16.689908365176247\n",
      "Found minimum norm =  16.68374228487052  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0076171875   minimal norm  16.68374228487052\n",
      "Found minimum norm =  16.67132191165748  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0146484375   minimal norm  16.67132191165748\n",
      "Found minimum norm =  16.683681123030055  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0060546875   minimal norm  16.683681123030055\n",
      "Found minimum norm =  16.68816865135399  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0029296875   minimal norm  16.68816865135399\n",
      "Found minimum norm =  16.684385031011992  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0052734375   minimal norm  16.684385031011992\n",
      "Found minimum norm =  16.66625228947805  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.012304687500000001   minimal norm  16.66625228947805\n",
      "Found minimum norm =  16.683932521913093  for s =  0.005664062500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.005664062500000001   minimal norm  16.683932521913093\n",
      "Found minimum norm =  16.63996634238673  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0146484375   minimal norm  16.63996634238673\n",
      "Found minimum norm =  16.684783552936548  for s =  0.004882812500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.004882812500000001   minimal norm  16.684783552936548\n",
      "Found minimum norm =  16.674305371367407  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.009179687500000002   minimal norm  16.674305371367407\n",
      "Found minimum norm =  16.68808715080327  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0033203125000000003   minimal norm  16.68808715080327\n",
      "Found minimum norm =  16.234930235048225  for s =  0.05722656250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.05722656250000001   minimal norm  16.234930235048225\n",
      "Found minimum norm =  16.687561958792788  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0033203125000000003   minimal norm  16.687561958792788\n",
      "Found minimum norm =  16.679936860789642  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0076171875   minimal norm  16.679936860789642\n",
      "Found minimum norm =  16.68210767391221  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0080078125   minimal norm  16.68210767391221\n",
      "Found minimum norm =  16.680218873603454  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0080078125   minimal norm  16.680218873603454\n",
      "Found minimum norm =  16.687535255465015  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0060546875   minimal norm  16.687535255465015\n",
      "Found minimum norm =  16.686227129684834  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0087890625   minimal norm  16.686227129684834\n",
      "Found minimum norm =  16.689644625919716  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0009765625   minimal norm  16.689644625919716\n",
      "Found minimum norm =  16.690088527965163  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0001953125   minimal norm  16.690088527965163\n",
      "Found minimum norm =  16.684455513978694  for s =  0.0068359375\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0068359375   minimal norm  16.684455513978694\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  16.66830067053764  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0162109375   minimal norm  16.66830067053764\n",
      "Found minimum norm =  16.68921877927096  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0025390625000000005   minimal norm  16.68921877927096\n",
      "Found minimum norm =  16.65354454533653  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0166015625   minimal norm  16.65354454533653\n",
      "Found minimum norm =  16.683932521913093  for s =  0.005664062500000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.005664062500000001   minimal norm  16.683932521913093\n",
      "Found minimum norm =  16.66518628692821  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0119140625   minimal norm  16.66518628692821\n",
      "Found minimum norm =  16.684120398706053  for s =  0.005664062500000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.005664062500000001   minimal norm  16.684120398706053\n",
      "Found minimum norm =  16.6324369011089  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0181640625   minimal norm  16.6324369011089\n",
      "Found minimum norm =  16.68607183917405  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0041015625   minimal norm  16.68607183917405\n",
      "Found minimum norm =  16.67825530724755  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.008398437500000001   minimal norm  16.67825530724755\n",
      "Found minimum norm =  16.689644625919716  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0009765625   minimal norm  16.689644625919716\n",
      "Found minimum norm =  16.655161713748154  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0166015625   minimal norm  16.655161713748154\n",
      "Found minimum norm =  16.683681123030055  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0060546875   minimal norm  16.683681123030055\n",
      "Found minimum norm =  16.661075063832975  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0138671875   minimal norm  16.661075063832975\n",
      "Found minimum norm =  16.684290024944488  for s =  0.004882812500000001\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.004882812500000001   minimal norm  16.684290024944488\n",
      "Found minimum norm =  16.579465558760887  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.0212890625   minimal norm  16.579465558760887\n",
      "Found minimum norm =  16.68704726963002  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0041015625   minimal norm  16.68704726963002\n",
      "Found minimum norm =  16.674041065087366  for s =  0.011132812500000002\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.011132812500000002   minimal norm  16.674041065087366\n",
      "Found minimum norm =  16.684120398706053  for s =  0.005664062500000001\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.005664062500000001   minimal norm  16.684120398706053\n",
      "Found minimum norm =  16.66343476259025  for s =  0.011132812500000002\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.011132812500000002   minimal norm  16.66343476259025\n",
      "Found minimum norm =  16.68808715080327  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0033203125000000003   minimal norm  16.68808715080327\n",
      "Found minimum norm =  16.687158262153847  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0041015625   minimal norm  16.687158262153847\n",
      "Found minimum norm =  16.68971921130803  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0005859375000000001   minimal norm  16.68971921130803\n",
      "Found minimum norm =  16.141195926016607  for s =  0.08847656250000001\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.08847656250000001   minimal norm  16.141195926016607\n",
      "Found minimum norm =  16.65523605473967  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0119140625   minimal norm  16.65523605473967\n",
      "Found minimum norm =  16.595733204004258  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.020507812500000003   minimal norm  16.595733204004258\n",
      "Found minimum norm =  16.679936860789642  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0076171875   minimal norm  16.679936860789642\n",
      "Found minimum norm =  16.53138699921232  for s =  0.0279296875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0279296875   minimal norm  16.53138699921232\n",
      "Found minimum norm =  16.68601998001921  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0052734375   minimal norm  16.68601998001921\n",
      "Found minimum norm =  16.671161742421155  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0126953125   minimal norm  16.671161742421155\n",
      "Found minimum norm =  16.678255307247554  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.008398437500000001   minimal norm  16.678255307247554\n",
      "Found minimum norm =  16.52458141747235  for s =  0.029882812499999998\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.029882812499999998   minimal norm  16.52458141747235\n",
      "Found minimum norm =  16.687071938339496  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0052734375   minimal norm  16.687071938339496\n",
      "Found minimum norm =  16.689572157767323  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0017578125   minimal norm  16.689572157767323\n",
      "Found minimum norm =  16.66830067053764  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0162109375   minimal norm  16.66830067053764\n",
      "Found minimum norm =  16.68364553596703  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0072265625   minimal norm  16.68364553596703\n",
      "Found minimum norm =  16.666252289478052  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.012304687500000001   minimal norm  16.666252289478052\n",
      "Found minimum norm =  16.62703326512824  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.020898437500000002   minimal norm  16.62703326512824\n",
      "Found minimum norm =  16.67404106508737  for s =  0.011132812500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.011132812500000002   minimal norm  16.67404106508737\n",
      "Found minimum norm =  16.31382370503185  for s =  0.0537109375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0537109375   minimal norm  16.31382370503185\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  16.677428330381606  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.009179687500000002   minimal norm  16.677428330381606\n",
      "Found minimum norm =  16.671161742421155  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0126953125   minimal norm  16.671161742421155\n",
      "Found minimum norm =  16.68622712968483  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0087890625   minimal norm  16.68622712968483\n",
      "Found minimum norm =  16.68965183856169  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0009765625   minimal norm  16.68965183856169\n",
      "Found minimum norm =  16.67132191165748  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0146484375   minimal norm  16.67132191165748\n",
      "Found minimum norm =  16.6184156358185  for s =  0.029882812499999998\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.029882812499999998   minimal norm  16.6184156358185\n",
      "Found minimum norm =  16.661075063832975  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0138671875   minimal norm  16.661075063832975\n",
      "Found minimum norm =  16.613725964074494  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.021679687500000003   minimal norm  16.613725964074494\n",
      "Found minimum norm =  16.675276069615542  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.009179687500000002   minimal norm  16.675276069615542\n",
      "Found minimum norm =  16.62703326512824  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.020898437500000002   minimal norm  16.62703326512824\n",
      "Found minimum norm =  16.665186286928215  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0119140625   minimal norm  16.665186286928215\n",
      "Found minimum norm =  16.507573707510236  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0283203125   minimal norm  16.507573707510236\n",
      "Found minimum norm =  16.674305371367403  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.009179687500000002   minimal norm  16.674305371367403\n",
      "Found minimum norm =  16.64834411801844  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.015039062499999999   minimal norm  16.64834411801844\n",
      "Found minimum norm =  16.687158262153847  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0041015625   minimal norm  16.687158262153847\n",
      "Found minimum norm =  16.206076601908958  for s =  0.059179687499999994\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.059179687499999994   minimal norm  16.206076601908958\n",
      "Found minimum norm =  16.61011979193071  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.018554687500000003   minimal norm  16.61011979193071\n",
      "Found minimum norm =  16.53138699921232  for s =  0.0279296875\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0279296875   minimal norm  16.53138699921232\n",
      "Found minimum norm =  16.680218873603458  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0080078125   minimal norm  16.680218873603458\n",
      "Found minimum norm =  16.502506403807335  for s =  0.031835937499999994\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.031835937499999994   minimal norm  16.502506403807335\n",
      "Found minimum norm =  16.689908365176247  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0001953125   minimal norm  16.689908365176247\n",
      "Found minimum norm =  16.689651838561694  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0009765625   minimal norm  16.689651838561694\n",
      "Found minimum norm =  16.655161713748154  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0166015625   minimal norm  16.655161713748154\n",
      "Found minimum norm =  16.314102460607444  for s =  0.05332031250000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.05332031250000001   minimal norm  16.314102460607444\n",
      "Found minimum norm =  16.683881097985623  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0064453125000000005   minimal norm  16.683881097985623\n",
      "Found minimum norm =  16.683645535967027  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0072265625   minimal norm  16.683645535967027\n",
      "Found minimum norm =  16.65354454533653  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0166015625   minimal norm  16.65354454533653\n",
      "Found minimum norm =  16.58022915401965  for s =  0.0259765625\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0259765625   minimal norm  16.58022915401965\n",
      "Found minimum norm =  16.63996634238673  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0146484375   minimal norm  16.63996634238673\n",
      "Found minimum norm =  16.507573707510236  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0283203125   minimal norm  16.507573707510236\n",
      "Found minimum norm =  16.66343476259025  for s =  0.011132812500000002\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.011132812500000002   minimal norm  16.66343476259025\n",
      "Found minimum norm =  16.063977725225268  for s =  0.0529296875\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0529296875   minimal norm  16.063977725225268\n",
      "Found minimum norm =  16.591409901225923  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0212890625   minimal norm  16.591409901225923\n",
      "Found minimum norm =  16.524581417472355  for s =  0.029882812499999998\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.029882812499999998   minimal norm  16.524581417472355\n",
      "Found minimum norm =  16.690088527965166  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0001953125   minimal norm  16.690088527965166\n",
      "Found minimum norm =  16.314102460607444  for s =  0.05332031250000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.05332031250000001   minimal norm  16.314102460607444\n",
      "Found minimum norm =  16.688168651353987  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0029296875   minimal norm  16.688168651353987\n",
      "Found minimum norm =  16.613725964074494  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.021679687500000003   minimal norm  16.613725964074494\n",
      "Found minimum norm =  16.579465558760887  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0212890625   minimal norm  16.579465558760887\n",
      "Found minimum norm =  15.993794175867194  for s =  0.0509765625\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0509765625   minimal norm  15.993794175867194\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  16.589503996654468  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.024804687500000002   minimal norm  16.589503996654468\n",
      "Found minimum norm =  16.31382370503185  for s =  0.0537109375\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0537109375   minimal norm  16.31382370503185\n",
      "Found minimum norm =  16.6324369011089  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0181640625   minimal norm  16.6324369011089\n",
      "Found minimum norm =  16.063977725225268  for s =  0.0529296875\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0529296875   minimal norm  16.063977725225268\n",
      "Found minimum norm =  16.23493023504823  for s =  0.05722656250000001\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.05722656250000001   minimal norm  16.23493023504823\n",
      "Found minimum norm =  16.20607660190896  for s =  0.059179687499999994\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.059179687499999994   minimal norm  16.20607660190896\n",
      "Found minimum norm =  16.141195926016607  for s =  0.08847656250000001\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.08847656250000001   minimal norm  16.141195926016607\n",
      "Found minimum norm =  16.68974814631476  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  16.68974814631476\n",
      "Found minimum norm =  15.381724389498975  for s =  0.010351562500000001\n",
      "Found that canonical is better because  15.381724389498975 15.993794175867194\n",
      "Found minimum norm =  15.381724389498975  for s =  0.010351562500000001\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  5\n",
      "Found minimum norm =  15.358100828199234  for s =  0.011132812500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.011132812500000002   minimal norm  15.358100828199234\n",
      "Found minimum norm =  15.333671945205618  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0166015625   minimal norm  15.333671945205618\n",
      "Found minimum norm =  15.36804593822459  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.009179687500000002   minimal norm  15.36804593822459\n",
      "Found minimum norm =  15.326109162654781  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.017773437500000003   minimal norm  15.326109162654781\n",
      "Found minimum norm =  15.358955069453312  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0107421875   minimal norm  15.358955069453312\n",
      "Found minimum norm =  15.333236688468276  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0173828125   minimal norm  15.333236688468276\n",
      "Found minimum norm =  15.351287704779692  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0126953125   minimal norm  15.351287704779692\n",
      "Found minimum norm =  15.303389941531623  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.020117187500000005   minimal norm  15.303389941531623\n",
      "Found minimum norm =  15.361413488251076  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0107421875   minimal norm  15.361413488251076\n",
      "Found minimum norm =  15.345291732491052  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0158203125   minimal norm  15.345291732491052\n",
      "Found minimum norm =  15.339529297853428  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0166015625   minimal norm  15.339529297853428\n",
      "Found minimum norm =  15.334406886125844  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.016992187500000002   minimal norm  15.334406886125844\n",
      "Found minimum norm =  15.35994713384031  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0119140625   minimal norm  15.35994713384031\n",
      "Found minimum norm =  15.340568537967133  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0173828125   minimal norm  15.340568537967133\n",
      "Found minimum norm =  15.367233912887954  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.009960937500000003   minimal norm  15.367233912887954\n",
      "Found minimum norm =  15.327133935422571  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.018554687500000003   minimal norm  15.327133935422571\n",
      "Found minimum norm =  15.35895506945331  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0107421875   minimal norm  15.35895506945331\n",
      "Found minimum norm =  15.341301755314134  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0158203125   minimal norm  15.341301755314134\n",
      "Found minimum norm =  15.34711017763011  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0158203125   minimal norm  15.34711017763011\n",
      "Found minimum norm =  15.358723381075944  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0126953125   minimal norm  15.358723381075944\n",
      "Found minimum norm =  15.353454421823871  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0158203125   minimal norm  15.353454421823871\n",
      "Found minimum norm =  15.323587518897615  for s =  0.0244140625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0244140625   minimal norm  15.323587518897615\n",
      "Found minimum norm =  15.356183408409414  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0138671875   minimal norm  15.356183408409414\n",
      "Found minimum norm =  15.375088339955443  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0064453125000000005   minimal norm  15.375088339955443\n",
      "Found minimum norm =  15.359947133840311  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0119140625   minimal norm  15.359947133840311\n",
      "Found minimum norm =  15.34075824958454  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.016992187500000002   minimal norm  15.34075824958454\n",
      "Found minimum norm =  15.358204335493259  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0134765625   minimal norm  15.358204335493259\n",
      "Found minimum norm =  15.33706815240365  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.016992187500000002   minimal norm  15.33706815240365\n",
      "Found minimum norm =  15.353339734433037  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.012304687500000001   minimal norm  15.353339734433037\n",
      "Found minimum norm =  15.322582155617056  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.018945312500000002   minimal norm  15.322582155617056\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  15.351330889027277  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.013085937500000002   minimal norm  15.351330889027277\n",
      "Found minimum norm =  15.061464162339853  for s =  0.04355468750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.04355468750000001   minimal norm  15.061464162339853\n",
      "Found minimum norm =  15.368045938224585  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.009179687500000002   minimal norm  15.368045938224585\n",
      "Found minimum norm =  15.342053559580162  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0162109375   minimal norm  15.342053559580162\n",
      "Found minimum norm =  15.324003692000533  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0173828125   minimal norm  15.324003692000533\n",
      "Found minimum norm =  15.323726479849945  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.017773437500000003   minimal norm  15.323726479849945\n",
      "Found minimum norm =  15.347110177630118  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0158203125   minimal norm  15.347110177630118\n",
      "Found minimum norm =  15.325866582071136  for s =  0.022851562500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.022851562500000002   minimal norm  15.325866582071136\n",
      "Found minimum norm =  15.37713101529231  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0080078125   minimal norm  15.37713101529231\n",
      "Found minimum norm =  15.381657469500835  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0009765625   minimal norm  15.381657469500835\n",
      "Found minimum norm =  15.339529297853437  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0166015625   minimal norm  15.339529297853437\n",
      "Found minimum norm =  15.313976593869825  for s =  0.0240234375\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0240234375   minimal norm  15.313976593869825\n",
      "Found minimum norm =  15.373916683776534  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.014257812500000001   minimal norm  15.373916683776534\n",
      "Found minimum norm =  15.324262268067098  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.024804687500000002   minimal norm  15.324262268067098\n",
      "Found minimum norm =  15.358204335493253  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0134765625   minimal norm  15.358204335493253\n",
      "Found minimum norm =  15.305456578604584  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.024804687500000002   minimal norm  15.305456578604584\n",
      "Found minimum norm =  15.323220142514211  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0173828125   minimal norm  15.323220142514211\n",
      "Found minimum norm =  15.327727967498564  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.016992187500000002   minimal norm  15.327727967498564\n",
      "Found minimum norm =  15.351287704779699  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0126953125   minimal norm  15.351287704779699\n",
      "Found minimum norm =  15.342511933701363  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0154296875   minimal norm  15.342511933701363\n",
      "Found minimum norm =  15.377131015292306  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0080078125   minimal norm  15.377131015292306\n",
      "Found minimum norm =  15.35202199564463  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0173828125   minimal norm  15.35202199564463\n",
      "Found minimum norm =  15.356183408409407  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0138671875   minimal norm  15.356183408409407\n",
      "Found minimum norm =  15.295881023705293  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0283203125   minimal norm  15.295881023705293\n",
      "Found minimum norm =  15.32628117269543  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0166015625   minimal norm  15.32628117269543\n",
      "Found minimum norm =  15.271274750783231  for s =  0.022851562500000002\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.022851562500000002   minimal norm  15.271274750783231\n",
      "Found minimum norm =  15.36723391288795  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.009960937500000003   minimal norm  15.36723391288795\n",
      "Found minimum norm =  15.32654994351644  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.020898437500000002   minimal norm  15.32654994351644\n",
      "Found minimum norm =  15.323220142514213  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0173828125   minimal norm  15.323220142514213\n",
      "Found minimum norm =  15.304954690338795  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.019335937500000004   minimal norm  15.304954690338795\n",
      "Found minimum norm =  15.351330889027286  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.013085937500000002   minimal norm  15.351330889027286\n",
      "Found minimum norm =  15.345468792347402  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0154296875   minimal norm  15.345468792347402\n",
      "Found minimum norm =  15.37898350933458  for s =  0.005664062500000001\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.005664062500000001   minimal norm  15.37898350933458\n",
      "Found minimum norm =  15.018622358370953  for s =  0.0626953125\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0626953125   minimal norm  15.018622358370953\n",
      "Found minimum norm =  15.333671945205625  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0166015625   minimal norm  15.333671945205625\n",
      "Found minimum norm =  15.30176417374488  for s =  0.022851562500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.022851562500000002   minimal norm  15.30176417374488\n",
      "Found minimum norm =  15.342053559580158  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0162109375   minimal norm  15.342053559580158\n",
      "Found minimum norm =  15.273784141026958  for s =  0.026367187500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.026367187500000003   minimal norm  15.273784141026958\n",
      "Found minimum norm =  15.341301755314133  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0158203125   minimal norm  15.341301755314133\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  15.296496220385414  for s =  0.0240234375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0240234375   minimal norm  15.296496220385414\n",
      "Found minimum norm =  15.342511933701369  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0154296875   minimal norm  15.342511933701369\n",
      "Found minimum norm =  15.25026125183933  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.026757812500000002   minimal norm  15.25026125183933\n",
      "Found minimum norm =  15.345291732491052  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0158203125   minimal norm  15.345291732491052\n",
      "Found minimum norm =  15.32613763374814  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.020507812500000003   minimal norm  15.32613763374814\n",
      "Found minimum norm =  15.31397659386983  for s =  0.0240234375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0240234375   minimal norm  15.31397659386983\n",
      "Found minimum norm =  15.337884961744285  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.017773437500000003   minimal norm  15.337884961744285\n",
      "Found minimum norm =  15.340758249584546  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.016992187500000002   minimal norm  15.340758249584546\n",
      "Found minimum norm =  15.310734414860757  for s =  0.0259765625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0259765625   minimal norm  15.310734414860757\n",
      "Found minimum norm =  15.326549943516437  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.020898437500000002   minimal norm  15.326549943516437\n",
      "Found minimum norm =  15.10260984373563  for s =  0.0470703125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0470703125   minimal norm  15.10260984373563\n",
      "Found minimum norm =  15.333236688468276  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0173828125   minimal norm  15.333236688468276\n",
      "Found minimum norm =  15.296496220385416  for s =  0.0240234375\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0240234375   minimal norm  15.296496220385416\n",
      "Found minimum norm =  15.325866582071143  for s =  0.022851562500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.022851562500000002   minimal norm  15.325866582071143\n",
      "Found minimum norm =  15.3481563403898  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0162109375   minimal norm  15.3481563403898\n",
      "Found minimum norm =  15.323587518897622  for s =  0.0244140625\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0244140625   minimal norm  15.323587518897622\n",
      "Found minimum norm =  15.250753967472829  for s =  0.0427734375\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0427734375   minimal norm  15.250753967472829\n",
      "Found minimum norm =  15.295881023705293  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0283203125   minimal norm  15.295881023705293\n",
      "Found minimum norm =  15.335372318498758  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.020507812500000003   minimal norm  15.335372318498758\n",
      "Found minimum norm =  15.340568537967137  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0173828125   minimal norm  15.340568537967137\n",
      "Found minimum norm =  15.310734414860761  for s =  0.0259765625\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0259765625   minimal norm  15.310734414860761\n",
      "Found minimum norm =  15.305456578604584  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.024804687500000002   minimal norm  15.305456578604584\n",
      "Found minimum norm =  15.228761839363749  for s =  0.0341796875\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0341796875   minimal norm  15.228761839363749\n",
      "Found minimum norm =  15.322582155617056  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.018945312500000002   minimal norm  15.322582155617056\n",
      "Found minimum norm =  15.264561575722126  for s =  0.0271484375\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0271484375   minimal norm  15.264561575722126\n",
      "Found minimum norm =  15.345468792347408  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0154296875   minimal norm  15.345468792347408\n",
      "Found minimum norm =  15.052790612526945  for s =  0.0439453125\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0439453125   minimal norm  15.052790612526945\n",
      "Found minimum norm =  15.326109162654781  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.017773437500000003   minimal norm  15.326109162654781\n",
      "Found minimum norm =  15.273784141026956  for s =  0.026367187500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.026367187500000003   minimal norm  15.273784141026956\n",
      "Found minimum norm =  15.323726479849949  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.017773437500000003   minimal norm  15.323726479849949\n",
      "Found minimum norm =  15.212422802546557  for s =  0.0271484375\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0271484375   minimal norm  15.212422802546557\n",
      "Found minimum norm =  15.358723381075949  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0126953125   minimal norm  15.358723381075949\n",
      "Found minimum norm =  15.348156340389801  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0162109375   minimal norm  15.348156340389801\n",
      "Found minimum norm =  15.352021995644629  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0173828125   minimal norm  15.352021995644629\n",
      "Found minimum norm =  15.153263431020356  for s =  0.05722656250000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.05722656250000001   minimal norm  15.153263431020356\n",
      "Found minimum norm =  15.33440688612585  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.016992187500000002   minimal norm  15.33440688612585\n",
      "Found minimum norm =  15.337884961744289  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.017773437500000003   minimal norm  15.337884961744289\n",
      "Found minimum norm =  15.324262268067098  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.024804687500000002   minimal norm  15.324262268067098\n",
      "Found minimum norm =  15.362994217017679  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0181640625   minimal norm  15.362994217017679\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  15.337068152403647  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.016992187500000002   minimal norm  15.337068152403647\n",
      "Found minimum norm =  15.228761839363745  for s =  0.0341796875\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0341796875   minimal norm  15.228761839363745\n",
      "Found minimum norm =  15.304954690338802  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.019335937500000004   minimal norm  15.304954690338802\n",
      "Found minimum norm =  14.943007321444085  for s =  0.0412109375\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0412109375   minimal norm  14.943007321444085\n",
      "Found minimum norm =  15.303389941531629  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.020117187500000005   minimal norm  15.303389941531629\n",
      "Found minimum norm =  15.250261251839333  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.026757812500000002   minimal norm  15.250261251839333\n",
      "Found minimum norm =  15.381657469500837  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0009765625   minimal norm  15.381657469500837\n",
      "Found minimum norm =  15.153263431020356  for s =  0.05722656250000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.05722656250000001   minimal norm  15.153263431020356\n",
      "Found minimum norm =  15.375088339955443  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0064453125000000005   minimal norm  15.375088339955443\n",
      "Found minimum norm =  15.335372318498756  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.020507812500000003   minimal norm  15.335372318498756\n",
      "Found minimum norm =  15.271274750783236  for s =  0.022851562500000002\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.022851562500000002   minimal norm  15.271274750783236\n",
      "Found minimum norm =  14.91891037975742  for s =  0.04082031250000001\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.04082031250000001   minimal norm  14.91891037975742\n",
      "Found minimum norm =  15.327133935422573  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.018554687500000003   minimal norm  15.327133935422573\n",
      "Found minimum norm =  15.102609843735632  for s =  0.0470703125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0470703125   minimal norm  15.102609843735632\n",
      "Found minimum norm =  15.32772796749857  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.016992187500000002   minimal norm  15.32772796749857\n",
      "Found minimum norm =  14.943007321444087  for s =  0.0412109375\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0412109375   minimal norm  14.943007321444087\n",
      "Found minimum norm =  15.061464162339862  for s =  0.04355468750000001\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.04355468750000001   minimal norm  15.061464162339862\n",
      "Found minimum norm =  15.052790612526946  for s =  0.0439453125\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0439453125   minimal norm  15.052790612526946\n",
      "Found minimum norm =  15.01862235837096  for s =  0.0626953125\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0626953125   minimal norm  15.01862235837096\n",
      "Found minimum norm =  15.381724389498975  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  15.381724389498975\n",
      "Found minimum norm =  14.741517721868611  for s =  0.005664062500000001\n",
      "Found that canonical is better because  14.741517721868611 14.91891037975742\n",
      "Found minimum norm =  14.741517721868611  for s =  0.005664062500000001\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  6\n",
      "Found minimum norm =  14.706537902262921  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0138671875   minimal norm  14.706537902262921\n",
      "Found minimum norm =  14.6904413149883  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0173828125   minimal norm  14.6904413149883\n",
      "Found minimum norm =  14.729221476735912  for s =  0.010351562500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.010351562500000001   minimal norm  14.729221476735912\n",
      "Found minimum norm =  14.701117722028279  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0162109375   minimal norm  14.701117722028279\n",
      "Found minimum norm =  14.720639445840689  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0119140625   minimal norm  14.720639445840689\n",
      "Found minimum norm =  14.717010394320786  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.015039062499999999   minimal norm  14.717010394320786\n",
      "Found minimum norm =  14.692858557051744  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0166015625   minimal norm  14.692858557051744\n",
      "Found minimum norm =  14.695837855480708  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.017773437500000003   minimal norm  14.695837855480708\n",
      "Found minimum norm =  14.720115380687206  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.012304687500000001   minimal norm  14.720115380687206\n",
      "Found minimum norm =  14.719044297510887  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.014257812500000001   minimal norm  14.719044297510887\n",
      "Found minimum norm =  14.67674316228029  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.020898437500000002   minimal norm  14.67674316228029\n",
      "Found minimum norm =  14.709050066935836  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0158203125   minimal norm  14.709050066935836\n",
      "Found minimum norm =  14.705699230375904  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0154296875   minimal norm  14.705699230375904\n",
      "Found minimum norm =  14.690205424346573  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.019335937500000004   minimal norm  14.690205424346573\n",
      "Found minimum norm =  14.725435532017269  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.012304687500000001   minimal norm  14.725435532017269\n",
      "Found minimum norm =  14.698686065060366  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0173828125   minimal norm  14.698686065060366\n",
      "Found minimum norm =  14.720639445840689  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0119140625   minimal norm  14.720639445840689\n",
      "Found minimum norm =  14.719946868115526  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0138671875   minimal norm  14.719946868115526\n",
      "Found minimum norm =  14.681247693165245  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.020117187500000005   minimal norm  14.681247693165245\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  14.7238821913612  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0115234375   minimal norm  14.7238821913612\n",
      "Found minimum norm =  14.688954902270106  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.020507812500000003   minimal norm  14.688954902270106\n",
      "Found minimum norm =  14.660445822638032  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.026757812500000002   minimal norm  14.660445822638032\n",
      "Found minimum norm =  14.715860632143082  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.017773437500000003   minimal norm  14.715860632143082\n",
      "Found minimum norm =  14.73894688372796  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0044921875000000005   minimal norm  14.73894688372796\n",
      "Found minimum norm =  14.705699230375906  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0154296875   minimal norm  14.705699230375906\n",
      "Found minimum norm =  14.693365089117608  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.018554687500000003   minimal norm  14.693365089117608\n",
      "Found minimum norm =  14.717668394308053  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.017773437500000003   minimal norm  14.717668394308053\n",
      "Found minimum norm =  14.711500103669772  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0162109375   minimal norm  14.711500103669772\n",
      "Found minimum norm =  14.714164206860756  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.014257812500000001   minimal norm  14.714164206860756\n",
      "Found minimum norm =  14.707775611590991  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.018554687500000003   minimal norm  14.707775611590991\n",
      "Found minimum norm =  14.689220204455967  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.017773437500000003   minimal norm  14.689220204455967\n",
      "Found minimum norm =  14.48966085559095  for s =  0.0431640625\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0431640625   minimal norm  14.48966085559095\n",
      "Found minimum norm =  14.729221476735905  for s =  0.010351562500000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.010351562500000001   minimal norm  14.729221476735905\n",
      "Found minimum norm =  14.709048588657962  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0162109375   minimal norm  14.709048588657962\n",
      "Found minimum norm =  14.668493986078834  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.020898437500000002   minimal norm  14.668493986078834\n",
      "Found minimum norm =  14.721282875188049  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0138671875   minimal norm  14.721282875188049\n",
      "Found minimum norm =  14.681247693165258  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.020117187500000005   minimal norm  14.681247693165258\n",
      "Found minimum norm =  14.674205573488809  for s =  0.0271484375\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0271484375   minimal norm  14.674205573488809\n",
      "Found minimum norm =  14.727645513002061  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0158203125   minimal norm  14.727645513002061\n",
      "Found minimum norm =  14.733159208791875  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0076171875   minimal norm  14.733159208791875\n",
      "Found minimum norm =  14.676743162280303  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.020898437500000002   minimal norm  14.676743162280303\n",
      "Found minimum norm =  14.666099872979045  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0283203125   minimal norm  14.666099872979045\n",
      "Found minimum norm =  14.705343953546304  for s =  0.0373046875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0373046875   minimal norm  14.705343953546304\n",
      "Found minimum norm =  14.655597029597061  for s =  0.0279296875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0279296875   minimal norm  14.655597029597061\n",
      "Found minimum norm =  14.717668394308042  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.017773437500000003   minimal norm  14.717668394308042\n",
      "Found minimum norm =  14.677449028249711  for s =  0.0275390625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0275390625   minimal norm  14.677449028249711\n",
      "Found minimum norm =  14.665246057956667  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.021679687500000003   minimal norm  14.665246057956667\n",
      "Found minimum norm =  14.7364982828098  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0072265625   minimal norm  14.7364982828098\n",
      "Found minimum norm =  14.692858557051753  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0166015625   minimal norm  14.692858557051753\n",
      "Found minimum norm =  14.700266636550397  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.018554687500000003   minimal norm  14.700266636550397\n",
      "Found minimum norm =  14.727645513002061  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0158203125   minimal norm  14.727645513002061\n",
      "Found minimum norm =  14.697899858180769  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0181640625   minimal norm  14.697899858180769\n",
      "Found minimum norm =  14.715860632143075  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.017773437500000003   minimal norm  14.715860632143075\n",
      "Found minimum norm =  14.67552568509819  for s =  0.0279296875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0279296875   minimal norm  14.67552568509819\n",
      "Found minimum norm =  14.664477279150493  for s =  0.022460937500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.022460937500000003   minimal norm  14.664477279150493\n",
      "Found minimum norm =  14.67870242742255  for s =  0.0259765625\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.0259765625   minimal norm  14.67870242742255\n",
      "Found minimum norm =  14.72543553201726  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.012304687500000001   minimal norm  14.72543553201726\n",
      "Found minimum norm =  14.697214509251507  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.019726562500000003   minimal norm  14.697214509251507\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  14.665246057956669  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.021679687500000003   minimal norm  14.665246057956669\n",
      "Found minimum norm =  14.701823780574445  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.020507812500000003   minimal norm  14.701823780574445\n",
      "Found minimum norm =  14.689220204455976  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.017773437500000003   minimal norm  14.689220204455976\n",
      "Found minimum norm =  14.694657606254413  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.020898437500000002   minimal norm  14.694657606254413\n",
      "Found minimum norm =  14.731135815852129  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0119140625   minimal norm  14.731135815852129\n",
      "Found minimum norm =  14.437941137896406  for s =  0.046289062500000006\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.046289062500000006   minimal norm  14.437941137896406\n",
      "Found minimum norm =  14.69044131498831  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0173828125   minimal norm  14.69044131498831\n",
      "Found minimum norm =  14.679880310922197  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.020898437500000002   minimal norm  14.679880310922197\n",
      "Found minimum norm =  14.709048588657947  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0162109375   minimal norm  14.709048588657947\n",
      "Found minimum norm =  14.708284590723265  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.019726562500000003   minimal norm  14.708284590723265\n",
      "Found minimum norm =  14.71994686811552  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0138671875   minimal norm  14.71994686811552\n",
      "Found minimum norm =  14.708451066199336  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.019335937500000004   minimal norm  14.708451066199336\n",
      "Found minimum norm =  14.700266636550412  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.018554687500000003   minimal norm  14.700266636550412\n",
      "Found minimum norm =  14.651010080803605  for s =  0.022851562500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.022851562500000002   minimal norm  14.651010080803605\n",
      "Found minimum norm =  14.719044297510878  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.014257812500000001   minimal norm  14.719044297510878\n",
      "Found minimum norm =  14.719682394577621  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0154296875   minimal norm  14.719682394577621\n",
      "Found minimum norm =  14.666099872979062  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0283203125   minimal norm  14.666099872979062\n",
      "Found minimum norm =  14.707673328532156  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.015039062499999999   minimal norm  14.707673328532156\n",
      "Found minimum norm =  14.693365089117616  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.018554687500000003   minimal norm  14.693365089117616\n",
      "Found minimum norm =  14.684273173848487  for s =  0.022851562500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.022851562500000002   minimal norm  14.684273173848487\n",
      "Found minimum norm =  14.697214509251495  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.019726562500000003   minimal norm  14.697214509251495\n",
      "Found minimum norm =  14.537177155189333  for s =  0.0529296875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0529296875   minimal norm  14.537177155189333\n",
      "Found minimum norm =  14.717010394320777  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.015039062499999999   minimal norm  14.717010394320777\n",
      "Found minimum norm =  14.708451066199338  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.019335937500000004   minimal norm  14.708451066199338\n",
      "Found minimum norm =  14.674205573488829  for s =  0.0271484375\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0271484375   minimal norm  14.674205573488829\n",
      "Found minimum norm =  14.708038721416687  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.015039062499999999   minimal norm  14.708038721416687\n",
      "Found minimum norm =  14.66044582263804  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.026757812500000002   minimal norm  14.66044582263804\n",
      "Found minimum norm =  14.615134580844211  for s =  0.0380859375\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0380859375   minimal norm  14.615134580844211\n",
      "Found minimum norm =  14.67552568509818  for s =  0.0279296875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0279296875   minimal norm  14.67552568509818\n",
      "Found minimum norm =  14.741328125293323  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0021484375   minimal norm  14.741328125293323\n",
      "Found minimum norm =  14.690205424346582  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.019335937500000004   minimal norm  14.690205424346582\n",
      "Found minimum norm =  14.684273173848489  for s =  0.022851562500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.022851562500000002   minimal norm  14.684273173848489\n",
      "Found minimum norm =  14.677449028249699  for s =  0.0275390625\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0275390625   minimal norm  14.677449028249699\n",
      "Found minimum norm =  14.66637724370235  for s =  0.040039062500000014\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.040039062500000014   minimal norm  14.66637724370235\n",
      "Found minimum norm =  14.707775611590984  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.018554687500000003   minimal norm  14.707775611590984\n",
      "Found minimum norm =  14.685900856641997  for s =  0.0271484375\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0271484375   minimal norm  14.685900856641997\n",
      "Found minimum norm =  14.694657606254427  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.020898437500000002   minimal norm  14.694657606254427\n",
      "Found minimum norm =  14.49040024562694  for s =  0.03886718750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.03886718750000001   minimal norm  14.49040024562694\n",
      "Found minimum norm =  14.701117722028277  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0162109375   minimal norm  14.701117722028277\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  14.70828459072326  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.019726562500000003   minimal norm  14.70828459072326\n",
      "Found minimum norm =  14.721282875188058  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0138671875   minimal norm  14.721282875188058\n",
      "Found minimum norm =  14.634510127210042  for s =  0.0220703125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0220703125   minimal norm  14.634510127210042\n",
      "Found minimum norm =  14.7238821913612  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0115234375   minimal norm  14.7238821913612\n",
      "Found minimum norm =  14.708038721416688  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.015039062499999999   minimal norm  14.708038721416688\n",
      "Found minimum norm =  14.697899858180763  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0181640625   minimal norm  14.697899858180763\n",
      "Found minimum norm =  14.57204003082371  for s =  0.0697265625\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0697265625   minimal norm  14.57204003082371\n",
      "Found minimum norm =  14.70905006693584  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0158203125   minimal norm  14.70905006693584\n",
      "Found minimum norm =  14.70767332853216  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.015039062499999999   minimal norm  14.70767332853216\n",
      "Found minimum norm =  14.655597029597056  for s =  0.0279296875\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0279296875   minimal norm  14.655597029597056\n",
      "Found minimum norm =  14.741804145466942  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0001953125   minimal norm  14.741804145466942\n",
      "Found minimum norm =  14.71150010366977  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0162109375   minimal norm  14.71150010366977\n",
      "Found minimum norm =  14.66637724370235  for s =  0.040039062500000014\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.040039062500000014   minimal norm  14.66637724370235\n",
      "Found minimum norm =  14.701823780574458  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.020507812500000003   minimal norm  14.701823780574458\n",
      "Found minimum norm =  14.433254922625556  for s =  0.0380859375\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0380859375   minimal norm  14.433254922625556\n",
      "Found minimum norm =  14.695837855480711  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.017773437500000003   minimal norm  14.695837855480711\n",
      "Found minimum norm =  14.65101008080361  for s =  0.022851562500000002\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.022851562500000002   minimal norm  14.65101008080361\n",
      "Found minimum norm =  14.733159208791871  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0076171875   minimal norm  14.733159208791871\n",
      "Found minimum norm =  14.572040030823711  for s =  0.0697265625\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0697265625   minimal norm  14.572040030823711\n",
      "Found minimum norm =  14.73894688372796  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0044921875000000005   minimal norm  14.73894688372796\n",
      "Found minimum norm =  14.741328125293323  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0021484375   minimal norm  14.741328125293323\n",
      "Found minimum norm =  14.678702427422559  for s =  0.0259765625\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0259765625   minimal norm  14.678702427422559\n",
      "Found minimum norm =  14.432264133807003  for s =  0.0380859375\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0380859375   minimal norm  14.432264133807003\n",
      "Found minimum norm =  14.698686065060366  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0173828125   minimal norm  14.698686065060366\n",
      "Found minimum norm =  14.537177155189339  for s =  0.0529296875\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0529296875   minimal norm  14.537177155189339\n",
      "Found minimum norm =  14.736498282809803  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0072265625   minimal norm  14.736498282809803\n",
      "Found minimum norm =  14.433254922625558  for s =  0.0380859375\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0380859375   minimal norm  14.433254922625558\n",
      "Found minimum norm =  14.489660855590955  for s =  0.0431640625\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0431640625   minimal norm  14.489660855590955\n",
      "Found minimum norm =  14.490400245626944  for s =  0.03886718750000001\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.03886718750000001   minimal norm  14.490400245626944\n",
      "Found minimum norm =  14.437941137896408  for s =  0.046289062500000006\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.046289062500000006   minimal norm  14.437941137896408\n",
      "Found minimum norm =  14.741517721868611  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  14.741517721868611\n",
      "Found minimum norm =  14.35537145373439  for s =  0.0041015625\n",
      "Found that canonical is better because  14.35537145373439 14.432264133807003\n",
      "Found minimum norm =  14.35537145373439  for s =  0.0041015625\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  7\n",
      "Found minimum norm =  14.330396672477583  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0126953125   minimal norm  14.330396672477583\n",
      "Found minimum norm =  14.330447453303998  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0146484375   minimal norm  14.330447453303998\n",
      "Found minimum norm =  14.349014402758348  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0087890625   minimal norm  14.349014402758348\n",
      "Found minimum norm =  14.315545710644852  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0166015625   minimal norm  14.315545710644852\n",
      "Found minimum norm =  14.34338132439482  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0107421875   minimal norm  14.34338132439482\n",
      "Found minimum norm =  14.33474913063065  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.014257812500000001   minimal norm  14.33474913063065\n",
      "Found minimum norm =  14.321154015998019  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0154296875   minimal norm  14.321154015998019\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  14.338948508499575  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0134765625   minimal norm  14.338948508499575\n",
      "Found minimum norm =  14.341428575376579  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0115234375   minimal norm  14.341428575376579\n",
      "Found minimum norm =  14.334561689955574  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0138671875   minimal norm  14.334561689955574\n",
      "Found minimum norm =  14.306542912441525  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.020507812500000003   minimal norm  14.306542912441525\n",
      "Found minimum norm =  14.349094810896801  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0095703125   minimal norm  14.349094810896801\n",
      "Found minimum norm =  14.330678486008912  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0138671875   minimal norm  14.330678486008912\n",
      "Found minimum norm =  14.331142811240301  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.016992187500000002   minimal norm  14.331142811240301\n",
      "Found minimum norm =  14.345167466345957  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0115234375   minimal norm  14.345167466345957\n",
      "Found minimum norm =  14.319346164382145  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0166015625   minimal norm  14.319346164382145\n",
      "Found minimum norm =  14.34338132439482  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0107421875   minimal norm  14.34338132439482\n",
      "Found minimum norm =  14.336294161326055  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0134765625   minimal norm  14.336294161326055\n",
      "Found minimum norm =  14.310508465651555  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.019335937500000004   minimal norm  14.310508465651555\n",
      "Found minimum norm =  14.354728943784696  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0029296875   minimal norm  14.354728943784696\n",
      "Found minimum norm =  14.313202808004196  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.020117187500000005   minimal norm  14.313202808004196\n",
      "Found minimum norm =  14.297870661020134  for s =  0.0306640625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0306640625   minimal norm  14.297870661020134\n",
      "Found minimum norm =  14.337237785749814  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.018554687500000003   minimal norm  14.337237785749814\n",
      "Found minimum norm =  14.353293344114638  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0041015625   minimal norm  14.353293344114638\n",
      "Found minimum norm =  14.330678486008912  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0138671875   minimal norm  14.330678486008912\n",
      "Found minimum norm =  14.33401019622764  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0158203125   minimal norm  14.33401019622764\n",
      "Found minimum norm =  14.338291873339896  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.018554687500000003   minimal norm  14.338291873339896\n",
      "Found minimum norm =  14.32496443057519  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0162109375   minimal norm  14.32496443057519\n",
      "Found minimum norm =  14.33709361454406  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0138671875   minimal norm  14.33709361454406\n",
      "Found minimum norm =  14.3253269321459  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0181640625   minimal norm  14.3253269321459\n",
      "Found minimum norm =  14.317966722141358  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.016992187500000002   minimal norm  14.317966722141358\n",
      "Found minimum norm =  14.131690181794424  for s =  0.054101562500000006\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.054101562500000006   minimal norm  14.131690181794424\n",
      "Found minimum norm =  14.349014402758343  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0087890625   minimal norm  14.349014402758343\n",
      "Found minimum norm =  14.325406098645418  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0158203125   minimal norm  14.325406098645418\n",
      "Found minimum norm =  14.301534059056886  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.020117187500000005   minimal norm  14.301534059056886\n",
      "Found minimum norm =  14.355235728797007  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0017578125   minimal norm  14.355235728797007\n",
      "Found minimum norm =  14.31050846565156  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.019335937500000004   minimal norm  14.31050846565156\n",
      "Found minimum norm =  14.315354254348344  for s =  0.0322265625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0322265625   minimal norm  14.315354254348344\n",
      "Found minimum norm =  14.346609464514216  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0166015625   minimal norm  14.346609464514216\n",
      "Found minimum norm =  14.348089409178968  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0072265625   minimal norm  14.348089409178968\n",
      "Found minimum norm =  14.306542912441529  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.020507812500000003   minimal norm  14.306542912441529\n",
      "Found minimum norm =  14.30551520816781  for s =  0.03574218750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.03574218750000001   minimal norm  14.30551520816781\n",
      "Found minimum norm =  14.305891012914847  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0498046875   minimal norm  14.305891012914847\n",
      "Found minimum norm =  14.264752797430784  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0283203125   minimal norm  14.264752797430784\n",
      "Found minimum norm =  14.338291873339893  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.018554687500000003   minimal norm  14.338291873339893\n",
      "Found minimum norm =  14.295179022805447  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.026757812500000002   minimal norm  14.295179022805447\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  14.298564762767006  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0212890625   minimal norm  14.298564762767006\n",
      "Found minimum norm =  14.355680403096965  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0001953125   minimal norm  14.355680403096965\n",
      "Found minimum norm =  14.321154015998022  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0154296875   minimal norm  14.321154015998022\n",
      "Found minimum norm =  14.341589977442304  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.015039062499999999   minimal norm  14.341589977442304\n",
      "Found minimum norm =  14.346609464514216  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0166015625   minimal norm  14.346609464514216\n",
      "Found minimum norm =  14.313313817899827  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.017773437500000003   minimal norm  14.313313817899827\n",
      "Found minimum norm =  14.337237785749808  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.018554687500000003   minimal norm  14.337237785749808\n",
      "Found minimum norm =  14.295847281756117  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.026757812500000002   minimal norm  14.295847281756117\n",
      "Found minimum norm =  14.297343628753218  for s =  0.0220703125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0220703125   minimal norm  14.297343628753218\n",
      "Found minimum norm =  14.320975034308628  for s =  0.0310546875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.0310546875   minimal norm  14.320975034308628\n",
      "Found minimum norm =  14.345167466345956  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0115234375   minimal norm  14.345167466345956\n",
      "Found minimum norm =  14.314045482874974  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.018945312500000002   minimal norm  14.314045482874974\n",
      "Found minimum norm =  14.298564762767008  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0212890625   minimal norm  14.298564762767008\n",
      "Found minimum norm =  14.346964554739086  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0162109375   minimal norm  14.346964554739086\n",
      "Found minimum norm =  14.317966722141362  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.016992187500000002   minimal norm  14.317966722141362\n",
      "Found minimum norm =  14.336732455131386  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.019335937500000004   minimal norm  14.336732455131386\n",
      "Found minimum norm =  14.349827989048878  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0107421875   minimal norm  14.349827989048878\n",
      "Found minimum norm =  14.075829457167938  for s =  0.04472656250000001\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.04472656250000001   minimal norm  14.075829457167938\n",
      "Found minimum norm =  14.330447453304005  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0146484375   minimal norm  14.330447453304005\n",
      "Found minimum norm =  14.308597572541723  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.019335937500000004   minimal norm  14.308597572541723\n",
      "Found minimum norm =  14.32540609864541  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0158203125   minimal norm  14.32540609864541\n",
      "Found minimum norm =  14.34184014420437  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0158203125   minimal norm  14.34184014420437\n",
      "Found minimum norm =  14.336294161326048  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0134765625   minimal norm  14.336294161326048\n",
      "Found minimum norm =  14.346301956369446  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0138671875   minimal norm  14.346301956369446\n",
      "Found minimum norm =  14.341589977442313  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.015039062499999999   minimal norm  14.341589977442313\n",
      "Found minimum norm =  14.29496498868055  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.020507812500000003   minimal norm  14.29496498868055\n",
      "Found minimum norm =  14.334561689955567  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0138671875   minimal norm  14.334561689955567\n",
      "Found minimum norm =  14.3525333868754  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0076171875   minimal norm  14.3525333868754\n",
      "Found minimum norm =  14.305515208167815  for s =  0.03574218750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.03574218750000001   minimal norm  14.305515208167815\n",
      "Found minimum norm =  14.339457079166978  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0119140625   minimal norm  14.339457079166978\n",
      "Found minimum norm =  14.334010196227643  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0158203125   minimal norm  14.334010196227643\n",
      "Found minimum norm =  14.314848420017013  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0212890625   minimal norm  14.314848420017013\n",
      "Found minimum norm =  14.314045482874965  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.018945312500000002   minimal norm  14.314045482874965\n",
      "Found minimum norm =  14.167700643194822  for s =  0.0634765625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0634765625   minimal norm  14.167700643194822\n",
      "Found minimum norm =  14.334749130630644  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.014257812500000001   minimal norm  14.334749130630644\n",
      "Found minimum norm =  14.346301956369446  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0138671875   minimal norm  14.346301956369446\n",
      "Found minimum norm =  14.315354254348355  for s =  0.0322265625\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0322265625   minimal norm  14.315354254348355\n",
      "Found minimum norm =  14.340267849065333  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0115234375   minimal norm  14.340267849065333\n",
      "Found minimum norm =  14.297870661020141  for s =  0.0306640625\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0306640625   minimal norm  14.297870661020141\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  14.242737588296384  for s =  0.040039062500000014\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.040039062500000014   minimal norm  14.242737588296384\n",
      "Found minimum norm =  14.295847281756107  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.026757812500000002   minimal norm  14.295847281756107\n",
      "Found minimum norm =  14.355590660000079  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0001953125   minimal norm  14.355590660000079\n",
      "Found minimum norm =  14.331142811240307  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.016992187500000002   minimal norm  14.331142811240307\n",
      "Found minimum norm =  14.314848420017015  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0212890625   minimal norm  14.314848420017015\n",
      "Found minimum norm =  14.295179022805437  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.026757812500000002   minimal norm  14.295179022805437\n",
      "Found minimum norm =  14.287629836127486  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0498046875   minimal norm  14.287629836127486\n",
      "Found minimum norm =  14.325326932145895  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0181640625   minimal norm  14.325326932145895\n",
      "Found minimum norm =  14.326434814349145  for s =  0.0279296875\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0279296875   minimal norm  14.326434814349145\n",
      "Found minimum norm =  14.336732455131395  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.019335937500000004   minimal norm  14.336732455131395\n",
      "Found minimum norm =  14.146383601717314  for s =  0.040039062500000014\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.040039062500000014   minimal norm  14.146383601717314\n",
      "Found minimum norm =  14.315545710644852  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0166015625   minimal norm  14.315545710644852\n",
      "Found minimum norm =  14.341840144204367  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0158203125   minimal norm  14.341840144204367\n",
      "Found minimum norm =  14.355235728797007  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0017578125   minimal norm  14.355235728797007\n",
      "Found minimum norm =  14.290731469509753  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.019726562500000003   minimal norm  14.290731469509753\n",
      "Found minimum norm =  14.354728943784696  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0029296875   minimal norm  14.354728943784696\n",
      "Found minimum norm =  14.340267849065334  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0115234375   minimal norm  14.340267849065334\n",
      "Found minimum norm =  14.313313817899823  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.017773437500000003   minimal norm  14.313313817899823\n",
      "Found minimum norm =  14.20228319648878  for s =  0.07753906250000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.07753906250000002   minimal norm  14.20228319648878\n",
      "Found minimum norm =  14.349094810896803  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0095703125   minimal norm  14.349094810896803\n",
      "Found minimum norm =  14.33945707916698  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0119140625   minimal norm  14.33945707916698\n",
      "Found minimum norm =  14.264752797430775  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0283203125   minimal norm  14.264752797430775\n",
      "Found minimum norm =  14.355750637321107  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0001953125   minimal norm  14.355750637321107\n",
      "Found minimum norm =  14.32496443057519  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0162109375   minimal norm  14.32496443057519\n",
      "Found minimum norm =  14.287629836127486  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0498046875   minimal norm  14.287629836127486\n",
      "Found minimum norm =  14.346964554739094  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0162109375   minimal norm  14.346964554739094\n",
      "Found minimum norm =  14.097553159322322  for s =  0.04082031250000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.04082031250000001   minimal norm  14.097553159322322\n",
      "Found minimum norm =  14.338948508499577  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0134765625   minimal norm  14.338948508499577\n",
      "Found minimum norm =  14.294964988680555  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.020507812500000003   minimal norm  14.294964988680555\n",
      "Found minimum norm =  14.348089409178964  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0072265625   minimal norm  14.348089409178964\n",
      "Found minimum norm =  14.20228319648878  for s =  0.07753906250000002\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.07753906250000002   minimal norm  14.20228319648878\n",
      "Found minimum norm =  14.353293344114638  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0041015625   minimal norm  14.353293344114638\n",
      "Found minimum norm =  14.355590660000079  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0001953125   minimal norm  14.355590660000079\n",
      "Found minimum norm =  14.320975034308637  for s =  0.0310546875\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0310546875   minimal norm  14.320975034308637\n",
      "Found minimum norm =  14.098777823496732  for s =  0.04082031250000001\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.04082031250000001   minimal norm  14.098777823496732\n",
      "Found minimum norm =  14.319346164382143  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0166015625   minimal norm  14.319346164382143\n",
      "Found minimum norm =  14.16770064319483  for s =  0.0634765625\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0634765625   minimal norm  14.16770064319483\n",
      "Found minimum norm =  14.355680403096967  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0001953125   minimal norm  14.355680403096967\n",
      "Found minimum norm =  14.097553159322322  for s =  0.04082031250000001\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.04082031250000001   minimal norm  14.097553159322322\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  14.131690181794422  for s =  0.054101562500000006\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.054101562500000006   minimal norm  14.131690181794422\n",
      "Found minimum norm =  14.146383601717318  for s =  0.040039062500000014\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.040039062500000014   minimal norm  14.146383601717318\n",
      "Found minimum norm =  14.075829457167938  for s =  0.04472656250000001\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.04472656250000001   minimal norm  14.075829457167938\n",
      "Found minimum norm =  14.35537145373439  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  14.35537145373439\n",
      "Found minimum norm =  14.045878508432796  for s =  0.0041015625\n",
      "Found that canonical is better because  14.045878508432796 14.075829457167938\n",
      "Found minimum norm =  14.045878508432796  for s =  0.0041015625\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  8\n",
      "Found minimum norm =  14.010459700507369  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0138671875   minimal norm  14.010459700507369\n",
      "Found minimum norm =  14.02967622614891  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.013085937500000002   minimal norm  14.02967622614891\n",
      "Found minimum norm =  14.041753842396721  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0076171875   minimal norm  14.041753842396721\n",
      "Found minimum norm =  13.99101035237545  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0173828125   minimal norm  13.99101035237545\n",
      "Found minimum norm =  14.036870510014012  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0095703125   minimal norm  14.036870510014012\n",
      "Found minimum norm =  14.009710014743526  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0162109375   minimal norm  14.009710014743526\n",
      "Found minimum norm =  14.000699883025112  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0166015625   minimal norm  14.000699883025112\n",
      "Found minimum norm =  14.036584712008278  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0115234375   minimal norm  14.036584712008278\n",
      "Found minimum norm =  14.034489435046401  for s =  0.011132812500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.011132812500000002   minimal norm  14.034489435046401\n",
      "Found minimum norm =  14.008418470503203  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0162109375   minimal norm  14.008418470503203\n",
      "Found minimum norm =  13.98530606305133  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.020507812500000003   minimal norm  13.98530606305133\n",
      "Found minimum norm =  14.043979092149286  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0060546875   minimal norm  14.043979092149286\n",
      "Found minimum norm =  14.00992677730646  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0154296875   minimal norm  14.00992677730646\n",
      "Found minimum norm =  14.030352366155304  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0158203125   minimal norm  14.030352366155304\n",
      "Found minimum norm =  14.038286893475409  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0107421875   minimal norm  14.038286893475409\n",
      "Found minimum norm =  14.0003700336615  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0166015625   minimal norm  14.0003700336615\n",
      "Found minimum norm =  14.036870510014012  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0095703125   minimal norm  14.036870510014012\n",
      "Found minimum norm =  14.010369768882372  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0158203125   minimal norm  14.010369768882372\n",
      "Found minimum norm =  13.98967255174536  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.019726562500000003   minimal norm  13.98967255174536\n",
      "Found minimum norm =  14.045919681833576  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0001953125   minimal norm  14.045919681833576\n",
      "Found minimum norm =  13.990445122970092  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.020507812500000003   minimal norm  13.990445122970092\n",
      "Found minimum norm =  13.993987977881229  for s =  0.0349609375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0349609375   minimal norm  13.993987977881229\n",
      "Found minimum norm =  14.031133018404473  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.018945312500000002   minimal norm  14.031133018404473\n",
      "Found minimum norm =  14.035128511928903  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.008398437500000001   minimal norm  14.035128511928903\n",
      "Found minimum norm =  14.00992677730646  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0154296875   minimal norm  14.00992677730646\n",
      "Found minimum norm =  14.033061524556338  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.014257812500000001   minimal norm  14.033061524556338\n",
      "Found minimum norm =  14.03207809346022  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.018554687500000003   minimal norm  14.03207809346022\n",
      "Found minimum norm =  13.999755488388017  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.017773437500000003   minimal norm  13.999755488388017\n",
      "Found minimum norm =  14.031149262892983  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.013085937500000002   minimal norm  14.031149262892983\n",
      "Found minimum norm =  13.99875881997787  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.019335937500000004   minimal norm  13.99875881997787\n",
      "Found minimum norm =  13.997126948415575  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0173828125   minimal norm  13.997126948415575\n",
      "Found minimum norm =  13.843089475936036  for s =  0.0587890625\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0587890625   minimal norm  13.843089475936036\n",
      "Found minimum norm =  14.04175384239672  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0076171875   minimal norm  14.04175384239672\n",
      "Found minimum norm =  14.002006620996411  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.016992187500000002   minimal norm  14.002006620996411\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  13.981516951094257  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.020117187500000005   minimal norm  13.981516951094257\n",
      "Found minimum norm =  14.045959745035043  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0001953125   minimal norm  14.045959745035043\n",
      "Found minimum norm =  13.989672551745363  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.019726562500000003   minimal norm  13.989672551745363\n",
      "Found minimum norm =  14.01078449878635  for s =  0.0373046875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0373046875   minimal norm  14.01078449878635\n",
      "Found minimum norm =  14.039810028831523  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0158203125   minimal norm  14.039810028831523\n",
      "Found minimum norm =  14.029314820065617  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.009960937500000003   minimal norm  14.029314820065617\n",
      "Found minimum norm =  13.985306063051336  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.020507812500000003   minimal norm  13.985306063051336\n",
      "Found minimum norm =  13.997147450408589  for s =  0.0427734375\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0427734375   minimal norm  13.997147450408589\n",
      "Found minimum norm =  13.993569115241426  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0498046875   minimal norm  13.993569115241426\n",
      "Found minimum norm =  13.938184273772027  for s =  0.0275390625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0275390625   minimal norm  13.938184273772027\n",
      "Found minimum norm =  14.032078093460218  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.018554687500000003   minimal norm  14.032078093460218\n",
      "Found minimum norm =  13.971374102618368  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.024804687500000002   minimal norm  13.971374102618368\n",
      "Found minimum norm =  13.978593971025612  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0212890625   minimal norm  13.978593971025612\n",
      "Found minimum norm =  14.046333236546982  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0001953125   minimal norm  14.046333236546982\n",
      "Found minimum norm =  14.000699883025115  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0166015625   minimal norm  14.000699883025115\n",
      "Found minimum norm =  14.038669332099419  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0126953125   minimal norm  14.038669332099419\n",
      "Found minimum norm =  14.039810028831521  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0158203125   minimal norm  14.039810028831521\n",
      "Found minimum norm =  13.989759032295847  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.018554687500000003   minimal norm  13.989759032295847\n",
      "Found minimum norm =  14.031133018404471  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.018945312500000002   minimal norm  14.031133018404471\n",
      "Found minimum norm =  13.972265746733196  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.024804687500000002   minimal norm  13.972265746733196\n",
      "Found minimum norm =  13.977426496919227  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.021679687500000003   minimal norm  13.977426496919227\n",
      "Found minimum norm =  14.01616515956664  for s =  0.03691406250000001\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.03691406250000001   minimal norm  14.01616515956664\n",
      "Found minimum norm =  14.038286893475409  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0107421875   minimal norm  14.038286893475409\n",
      "Found minimum norm =  13.989548174758697  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.019726562500000003   minimal norm  13.989548174758697\n",
      "Found minimum norm =  13.978593971025612  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0212890625   minimal norm  13.978593971025612\n",
      "Found minimum norm =  14.043363913894655  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0115234375   minimal norm  14.043363913894655\n",
      "Found minimum norm =  13.997126948415577  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0173828125   minimal norm  13.997126948415577\n",
      "Found minimum norm =  14.034672917840053  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0181640625   minimal norm  14.034672917840053\n",
      "Found minimum norm =  14.042535964012787  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.009179687500000002   minimal norm  14.042535964012787\n",
      "Found minimum norm =  13.782879367978012  for s =  0.0392578125\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0392578125   minimal norm  13.782879367978012\n",
      "Found minimum norm =  14.029676226148913  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.013085937500000002   minimal norm  14.029676226148913\n",
      "Found minimum norm =  13.987413135478828  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.019335937500000004   minimal norm  13.987413135478828\n",
      "Found minimum norm =  14.002006620996404  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.016992187500000002   minimal norm  14.002006620996404\n",
      "Found minimum norm =  14.035584675524422  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.015039062499999999   minimal norm  14.035584675524422\n",
      "Found minimum norm =  14.010369768882368  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0158203125   minimal norm  14.010369768882368\n",
      "Found minimum norm =  14.040476743797312  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.012304687500000001   minimal norm  14.040476743797312\n",
      "Found minimum norm =  14.038669332099424  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0126953125   minimal norm  14.038669332099424\n",
      "Found minimum norm =  13.979562976766575  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.020117187500000005   minimal norm  13.979562976766575\n",
      "Found minimum norm =  14.008418470503202  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0162109375   minimal norm  14.008418470503202\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  14.044966133022625  for s =  0.004882812500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.004882812500000001   minimal norm  14.044966133022625\n",
      "Found minimum norm =  13.997147450408589  for s =  0.0427734375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0427734375   minimal norm  13.997147450408589\n",
      "Found minimum norm =  14.020500085926388  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0134765625   minimal norm  14.020500085926388\n",
      "Found minimum norm =  14.033061524556341  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.014257812500000001   minimal norm  14.033061524556341\n",
      "Found minimum norm =  13.993578860725549  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.020898437500000002   minimal norm  13.993578860725549\n",
      "Found minimum norm =  13.98954817475869  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.019726562500000003   minimal norm  13.98954817475869\n",
      "Found minimum norm =  13.872716887783147  for s =  0.0666015625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0666015625   minimal norm  13.872716887783147\n",
      "Found minimum norm =  14.00971001474352  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0162109375   minimal norm  14.00971001474352\n",
      "Found minimum norm =  14.040476743797313  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.012304687500000001   minimal norm  14.040476743797313\n",
      "Found minimum norm =  14.010784498786355  for s =  0.0373046875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0373046875   minimal norm  14.010784498786355\n",
      "Found minimum norm =  14.02154786419833  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.013085937500000002   minimal norm  14.02154786419833\n",
      "Found minimum norm =  13.993987977881234  for s =  0.0349609375\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0349609375   minimal norm  13.993987977881234\n",
      "Found minimum norm =  13.9256398720657  for s =  0.0353515625\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0353515625   minimal norm  13.9256398720657\n",
      "Found minimum norm =  13.972265746733187  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.024804687500000002   minimal norm  13.972265746733187\n",
      "Found minimum norm =  14.046138724988543  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0001953125   minimal norm  14.046138724988543\n",
      "Found minimum norm =  14.030352366155308  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0158203125   minimal norm  14.030352366155308\n",
      "Found minimum norm =  13.993578860725549  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.020898437500000002   minimal norm  13.993578860725549\n",
      "Found minimum norm =  13.971374102618359  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.024804687500000002   minimal norm  13.971374102618359\n",
      "Found minimum norm =  13.969219319457443  for s =  0.0634765625\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0634765625   minimal norm  13.969219319457443\n",
      "Found minimum norm =  13.998758819977866  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.019335937500000004   minimal norm  13.998758819977866\n",
      "Found minimum norm =  14.02122909745587  for s =  0.0306640625\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0306640625   minimal norm  14.02122909745587\n",
      "Found minimum norm =  14.03467291784006  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0181640625   minimal norm  14.03467291784006\n",
      "Found minimum norm =  13.849634852173335  for s =  0.0361328125\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0361328125   minimal norm  13.849634852173335\n",
      "Found minimum norm =  13.99101035237545  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0173828125   minimal norm  13.99101035237545\n",
      "Found minimum norm =  14.035584675524419  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.015039062499999999   minimal norm  14.035584675524419\n",
      "Found minimum norm =  14.045959745035045  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0001953125   minimal norm  14.045959745035045\n",
      "Found minimum norm =  13.977721173883904  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.019335937500000004   minimal norm  13.977721173883904\n",
      "Found minimum norm =  14.045919681833578  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0001953125   minimal norm  14.045919681833578\n",
      "Found minimum norm =  14.021547864198332  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.013085937500000002   minimal norm  14.021547864198332\n",
      "Found minimum norm =  13.989759032295842  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.018554687500000003   minimal norm  13.989759032295842\n",
      "Found minimum norm =  13.913573180774947  for s =  0.07832031250000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.07832031250000002   minimal norm  13.913573180774947\n",
      "Found minimum norm =  14.043979092149288  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0060546875   minimal norm  14.043979092149288\n",
      "Found minimum norm =  14.020500085926392  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0134765625   minimal norm  14.020500085926392\n",
      "Found minimum norm =  13.938184273772022  for s =  0.0275390625\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0275390625   minimal norm  13.938184273772022\n",
      "Found minimum norm =  14.046269512724992  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0001953125   minimal norm  14.046269512724992\n",
      "Found minimum norm =  13.999755488388015  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.017773437500000003   minimal norm  13.999755488388015\n",
      "Found minimum norm =  13.969219319457448  for s =  0.0634765625\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0634765625   minimal norm  13.969219319457448\n",
      "Found minimum norm =  14.043363913894659  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0115234375   minimal norm  14.043363913894659\n",
      "Found minimum norm =  13.802097532558935  for s =  0.03769531250000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.03769531250000001   minimal norm  13.802097532558935\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  14.036584712008278  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0115234375   minimal norm  14.036584712008278\n",
      "Found minimum norm =  13.979562976766578  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.020117187500000005   minimal norm  13.979562976766578\n",
      "Found minimum norm =  14.029314820065611  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.009960937500000003   minimal norm  14.029314820065611\n",
      "Found minimum norm =  13.913573180774948  for s =  0.07832031250000002\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.07832031250000002   minimal norm  13.913573180774948\n",
      "Found minimum norm =  14.035128511928901  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.008398437500000001   minimal norm  14.035128511928901\n",
      "Found minimum norm =  14.046138724988543  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0001953125   minimal norm  14.046138724988543\n",
      "Found minimum norm =  14.016165159566645  for s =  0.03691406250000001\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.03691406250000001   minimal norm  14.016165159566645\n",
      "Found minimum norm =  13.804129615003205  for s =  0.0373046875\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0373046875   minimal norm  13.804129615003205\n",
      "Found minimum norm =  14.000370033661499  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0166015625   minimal norm  14.000370033661499\n",
      "Found minimum norm =  13.872716887783158  for s =  0.0666015625\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0666015625   minimal norm  13.872716887783158\n",
      "Found minimum norm =  14.046333236546982  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0001953125   minimal norm  14.046333236546982\n",
      "Found minimum norm =  13.802097532558937  for s =  0.03769531250000001\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.03769531250000001   minimal norm  13.802097532558937\n",
      "Found minimum norm =  13.843089475936036  for s =  0.0587890625\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0587890625   minimal norm  13.843089475936036\n",
      "Found minimum norm =  13.849634852173335  for s =  0.0361328125\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0361328125   minimal norm  13.849634852173335\n",
      "Found minimum norm =  13.782879367978008  for s =  0.0392578125\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0392578125   minimal norm  13.782879367978008\n",
      "Found minimum norm =  14.045878508432796  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  14.045878508432796\n",
      "Found minimum norm =  13.771661654399214  for s =  0.0037109375\n",
      "Found that canonical is better because  13.771661654399214 13.782879367978008\n",
      "Found minimum norm =  13.771661654399214  for s =  0.0037109375\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  9\n",
      "Found minimum norm =  13.732274207599339  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.014257812500000001   minimal norm  13.732274207599339\n",
      "Found minimum norm =  13.76460371311688  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.009960937500000003   minimal norm  13.76460371311688\n",
      "Found minimum norm =  13.770966130485737  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0033203125000000003   minimal norm  13.770966130485737\n",
      "Found minimum norm =  13.715846545219689  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.017773437500000003   minimal norm  13.715846545219689\n",
      "Found minimum norm =  13.769147067583532  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0060546875   minimal norm  13.769147067583532\n",
      "Found minimum norm =  13.73114254785978  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0166015625   minimal norm  13.73114254785978\n",
      "Found minimum norm =  13.725315544344697  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0166015625   minimal norm  13.725315544344697\n",
      "Found minimum norm =  13.767911636499305  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.008398437500000001   minimal norm  13.767911636499305\n",
      "Found minimum norm =  13.767276950125352  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0080078125   minimal norm  13.767276950125352\n",
      "Found minimum norm =  13.728831102678143  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.016992187500000002   minimal norm  13.728831102678143\n",
      "Found minimum norm =  13.709728822353382  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.020507812500000003   minimal norm  13.709728822353382\n",
      "Found minimum norm =  13.77166934529065  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0001953125   minimal norm  13.77166934529065\n",
      "Found minimum norm =  13.731321494111322  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0158203125   minimal norm  13.731321494111322\n",
      "Found minimum norm =  13.765979319561955  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.012304687500000001   minimal norm  13.765979319561955\n",
      "Found minimum norm =  13.769031493734893  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0072265625   minimal norm  13.769031493734893\n",
      "Found minimum norm =  13.729197268709807  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0158203125   minimal norm  13.729197268709807\n",
      "Found minimum norm =  13.76914706758353  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0060546875   minimal norm  13.76914706758353\n",
      "Found minimum norm =  13.730781851427256  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0166015625   minimal norm  13.730781851427256\n",
      "Found minimum norm =  13.714455138012081  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.019726562500000003   minimal norm  13.714455138012081\n",
      "Found minimum norm =  13.771817699269278  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0001953125   minimal norm  13.771817699269278\n",
      "Found minimum norm =  13.710771431601888  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.020898437500000002   minimal norm  13.710771431601888\n",
      "Found minimum norm =  13.721444247642443  for s =  0.0466796875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0466796875   minimal norm  13.721444247642443\n",
      "Found minimum norm =  13.764338209518607  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0173828125   minimal norm  13.764338209518607\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  13.759324479425521  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.009179687500000002   minimal norm  13.759324479425521\n",
      "Found minimum norm =  13.731321494111322  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0158203125   minimal norm  13.731321494111322\n",
      "Found minimum norm =  13.767897445503353  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0095703125   minimal norm  13.767897445503353\n",
      "Found minimum norm =  13.765132832137112  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.016992187500000002   minimal norm  13.765132832137112\n",
      "Found minimum norm =  13.724073268420808  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0181640625   minimal norm  13.724073268420808\n",
      "Found minimum norm =  13.76555403745263  for s =  0.010351562500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.010351562500000001   minimal norm  13.76555403745263\n",
      "Found minimum norm =  13.719580738656788  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.019335937500000004   minimal norm  13.719580738656788\n",
      "Found minimum norm =  13.721693167797547  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.017773437500000003   minimal norm  13.721693167797547\n",
      "Found minimum norm =  13.576285068053842  for s =  0.06894531250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.06894531250000001   minimal norm  13.576285068053842\n",
      "Found minimum norm =  13.770966130485736  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0033203125000000003   minimal norm  13.770966130485736\n",
      "Found minimum norm =  13.72781277419788  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0166015625   minimal norm  13.72781277419788\n",
      "Found minimum norm =  13.709852563879855  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.020117187500000005   minimal norm  13.709852563879855\n",
      "Found minimum norm =  13.771805841837798  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0001953125   minimal norm  13.771805841837798\n",
      "Found minimum norm =  13.714455138012081  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.019726562500000003   minimal norm  13.714455138012081\n",
      "Found minimum norm =  13.736627186966466  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0498046875   minimal norm  13.736627186966466\n",
      "Found minimum norm =  13.769403070590517  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.012304687500000001   minimal norm  13.769403070590517\n",
      "Found minimum norm =  13.756788533092418  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0095703125   minimal norm  13.756788533092418\n",
      "Found minimum norm =  13.709728822353386  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.020507812500000003   minimal norm  13.709728822353386\n",
      "Found minimum norm =  13.717717189361586  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0498046875   minimal norm  13.717717189361586\n",
      "Found minimum norm =  13.69487513551219  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.07480468750000001   minimal norm  13.69487513551219\n",
      "Found minimum norm =  13.663466136660533  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0283203125   minimal norm  13.663466136660533\n",
      "Found minimum norm =  13.76513283213711  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.016992187500000002   minimal norm  13.76513283213711\n",
      "Found minimum norm =  13.697078955229538  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.024804687500000002   minimal norm  13.697078955229538\n",
      "Found minimum norm =  13.707115278046997  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0212890625   minimal norm  13.707115278046997\n",
      "Found minimum norm =  13.772207230806249  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0001953125   minimal norm  13.772207230806249\n",
      "Found minimum norm =  13.725315544344697  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0166015625   minimal norm  13.725315544344697\n",
      "Found minimum norm =  13.769685100169971  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.008398437500000001   minimal norm  13.769685100169971\n",
      "Found minimum norm =  13.769403070590515  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.012304687500000001   minimal norm  13.769403070590515\n",
      "Found minimum norm =  13.718163315886612  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.018554687500000003   minimal norm  13.718163315886612\n",
      "Found minimum norm =  13.764338209518606  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0173828125   minimal norm  13.764338209518606\n",
      "Found minimum norm =  13.698180665388433  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.024804687500000002   minimal norm  13.698180665388433\n",
      "Found minimum norm =  13.70597295661791  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.021679687500000003   minimal norm  13.70597295661791\n",
      "Found minimum norm =  13.742265886047086  for s =  0.04550781250000001\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.04550781250000001   minimal norm  13.742265886047086\n",
      "Found minimum norm =  13.769031493734891  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0072265625   minimal norm  13.769031493734891\n",
      "Found minimum norm =  13.715056386459198  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.019726562500000003   minimal norm  13.715056386459198\n",
      "Found minimum norm =  13.707115278046995  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0212890625   minimal norm  13.707115278046995\n",
      "Found minimum norm =  13.771527978035822  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0037109375   minimal norm  13.771527978035822\n",
      "Found minimum norm =  13.721693167797548  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.017773437500000003   minimal norm  13.721693167797548\n",
      "Found minimum norm =  13.767279800882326  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.015039062499999999   minimal norm  13.767279800882326\n",
      "Found minimum norm =  13.77080215171875  for s =  0.005664062500000001\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.005664062500000001   minimal norm  13.77080215171875\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  13.524398847580796  for s =  0.03886718750000001\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.03886718750000001   minimal norm  13.524398847580796\n",
      "Found minimum norm =  13.764603713116882  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.009960937500000003   minimal norm  13.764603713116882\n",
      "Found minimum norm =  13.711955090643361  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.019335937500000004   minimal norm  13.711955090643361\n",
      "Found minimum norm =  13.727812774197877  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0166015625   minimal norm  13.727812774197877\n",
      "Found minimum norm =  13.76514366779378  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0134765625   minimal norm  13.76514366779378\n",
      "Found minimum norm =  13.73078185142725  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0166015625   minimal norm  13.73078185142725\n",
      "Found minimum norm =  13.77137636831884  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0041015625   minimal norm  13.77137636831884\n",
      "Found minimum norm =  13.769685100169973  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.008398437500000001   minimal norm  13.769685100169973\n",
      "Found minimum norm =  13.710675964674843  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.019335937500000004   minimal norm  13.710675964674843\n",
      "Found minimum norm =  13.728831102678141  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.016992187500000002   minimal norm  13.728831102678141\n",
      "Found minimum norm =  13.77172159186123  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0001953125   minimal norm  13.77172159186123\n",
      "Found minimum norm =  13.717717189361583  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0498046875   minimal norm  13.717717189361583\n",
      "Found minimum norm =  13.747515107636582  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0134765625   minimal norm  13.747515107636582\n",
      "Found minimum norm =  13.767897445503353  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0095703125   minimal norm  13.767897445503353\n",
      "Found minimum norm =  13.71790951932103  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.020898437500000002   minimal norm  13.71790951932103\n",
      "Found minimum norm =  13.715056386459192  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.019726562500000003   minimal norm  13.715056386459192\n",
      "Found minimum norm =  13.600234369098496  for s =  0.07597656250000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.07597656250000001   minimal norm  13.600234369098496\n",
      "Found minimum norm =  13.731142547859777  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0166015625   minimal norm  13.731142547859777\n",
      "Found minimum norm =  13.77137636831884  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0041015625   minimal norm  13.77137636831884\n",
      "Found minimum norm =  13.736627186966466  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0498046875   minimal norm  13.736627186966466\n",
      "Found minimum norm =  13.748469645631797  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.013085937500000002   minimal norm  13.748469645631797\n",
      "Found minimum norm =  13.721444247642443  for s =  0.0466796875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0466796875   minimal norm  13.721444247642443\n",
      "Found minimum norm =  13.648056094709412  for s =  0.0349609375\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0349609375   minimal norm  13.648056094709412\n",
      "Found minimum norm =  13.698180665388431  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.024804687500000002   minimal norm  13.698180665388431\n",
      "Found minimum norm =  13.771988594333704  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0001953125   minimal norm  13.771988594333704\n",
      "Found minimum norm =  13.765979319561957  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.012304687500000001   minimal norm  13.765979319561957\n",
      "Found minimum norm =  13.717909519321031  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.020898437500000002   minimal norm  13.717909519321031\n",
      "Found minimum norm =  13.697078955229536  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.024804687500000002   minimal norm  13.697078955229536\n",
      "Found minimum norm =  13.671781227952653  for s =  0.08222656250000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.08222656250000002   minimal norm  13.671781227952653\n",
      "Found minimum norm =  13.719580738656786  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.019335937500000004   minimal norm  13.719580738656786\n",
      "Found minimum norm =  13.752533463037155  for s =  0.0427734375\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0427734375   minimal norm  13.752533463037155\n",
      "Found minimum norm =  13.767279800882328  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.015039062499999999   minimal norm  13.767279800882328\n",
      "Found minimum norm =  13.589286720398878  for s =  0.0353515625\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0353515625   minimal norm  13.589286720398878\n",
      "Found minimum norm =  13.715846545219687  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.017773437500000003   minimal norm  13.715846545219687\n",
      "Found minimum norm =  13.765143667793778  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0134765625   minimal norm  13.765143667793778\n",
      "Found minimum norm =  13.771805841837798  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0001953125   minimal norm  13.771805841837798\n",
      "Found minimum norm =  13.713109236517523  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.018554687500000003   minimal norm  13.713109236517523\n",
      "Found minimum norm =  13.771817699269278  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0001953125   minimal norm  13.771817699269278\n",
      "Found minimum norm =  13.748469645631799  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.013085937500000002   minimal norm  13.748469645631799\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  13.71816331588661  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.018554687500000003   minimal norm  13.71816331588661\n",
      "Found minimum norm =  13.657046140673566  for s =  0.07792968750000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.07792968750000001   minimal norm  13.657046140673566\n",
      "Found minimum norm =  13.771669345290652  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0001953125   minimal norm  13.771669345290652\n",
      "Found minimum norm =  13.747515107636584  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0134765625   minimal norm  13.747515107636584\n",
      "Found minimum norm =  13.663466136660531  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0283203125   minimal norm  13.663466136660531\n",
      "Found minimum norm =  13.77205070902111  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0001953125   minimal norm  13.77205070902111\n",
      "Found minimum norm =  13.724073268420806  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0181640625   minimal norm  13.724073268420806\n",
      "Found minimum norm =  13.671781227952662  for s =  0.08222656250000002\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.08222656250000002   minimal norm  13.671781227952662\n",
      "Found minimum norm =  13.771527978035824  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0037109375   minimal norm  13.771527978035824\n",
      "Found minimum norm =  13.543212088000251  for s =  0.0380859375\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0380859375   minimal norm  13.543212088000251\n",
      "Found minimum norm =  13.767911636499306  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.008398437500000001   minimal norm  13.767911636499306\n",
      "Found minimum norm =  13.710675964674845  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.019335937500000004   minimal norm  13.710675964674845\n",
      "Found minimum norm =  13.756788533092417  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0095703125   minimal norm  13.756788533092417\n",
      "Found minimum norm =  13.657046140673568  for s =  0.07792968750000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.07792968750000001   minimal norm  13.657046140673568\n",
      "Found minimum norm =  13.75932447942552  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.009179687500000002   minimal norm  13.75932447942552\n",
      "Found minimum norm =  13.771988594333703  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0001953125   minimal norm  13.771988594333703\n",
      "Found minimum norm =  13.742265886047088  for s =  0.04550781250000001\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.04550781250000001   minimal norm  13.742265886047088\n",
      "Found minimum norm =  13.545823271334156  for s =  0.03769531250000001\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.03769531250000001   minimal norm  13.545823271334156\n",
      "Found minimum norm =  13.729197268709807  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0158203125   minimal norm  13.729197268709807\n",
      "Found minimum norm =  13.600234369098505  for s =  0.07597656250000001\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.07597656250000001   minimal norm  13.600234369098505\n",
      "Found minimum norm =  13.772207230806249  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0001953125   minimal norm  13.772207230806249\n",
      "Found minimum norm =  13.543212088000251  for s =  0.0380859375\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0380859375   minimal norm  13.543212088000251\n",
      "Found minimum norm =  13.576285068053835  for s =  0.06894531250000001\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.06894531250000001   minimal norm  13.576285068053835\n",
      "Found minimum norm =  13.589286720398876  for s =  0.0353515625\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0353515625   minimal norm  13.589286720398876\n",
      "Found minimum norm =  13.524398847580795  for s =  0.03886718750000001\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.03886718750000001   minimal norm  13.524398847580795\n",
      "Found minimum norm =  13.771661654399214  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  13.771661654399214\n",
      "Found minimum norm =  13.522167201296382  for s =  0.0033203125000000003\n",
      "Found that canonical is better because  13.522167201296382 13.524398847580795\n",
      "Found minimum norm =  13.522167201296382  for s =  0.0033203125000000003\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  10\n",
      "Found minimum norm =  13.495943932498342  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.013085937500000002   minimal norm  13.495943932498342\n",
      "Found minimum norm =  13.520185512798381  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0060546875   minimal norm  13.520185512798381\n",
      "Found minimum norm =  13.522195968334447  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0001953125   minimal norm  13.522195968334447\n",
      "Found minimum norm =  13.484996109888804  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0166015625   minimal norm  13.484996109888804\n",
      "Found minimum norm =  13.522162548416384  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  13.522162548416384\n",
      "Found minimum norm =  13.496815143138306  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0154296875   minimal norm  13.496815143138306\n",
      "Found minimum norm =  13.492740435878098  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0154296875   minimal norm  13.492740435878098\n",
      "Found minimum norm =  13.520974295017352  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0052734375   minimal norm  13.520974295017352\n",
      "Found minimum norm =  13.521625022740661  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0033203125000000003   minimal norm  13.521625022740661\n",
      "Found minimum norm =  13.493699955202842  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0158203125   minimal norm  13.493699955202842\n",
      "Found minimum norm =  13.47792571264715  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.020507812500000003   minimal norm  13.47792571264715\n",
      "Found minimum norm =  13.522254203760017  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0001953125   minimal norm  13.522254203760017\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  13.495501448212098  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0146484375   minimal norm  13.495501448212098\n",
      "Found minimum norm =  13.521729084567207  for s =  0.004882812500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.004882812500000001   minimal norm  13.521729084567207\n",
      "Found minimum norm =  13.521916874988918  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0025390625000000005   minimal norm  13.521916874988918\n",
      "Found minimum norm =  13.499953031719933  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0134765625   minimal norm  13.499953031719933\n",
      "Found minimum norm =  13.522162548416386  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  13.522162548416386\n",
      "Found minimum norm =  13.495481587786486  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0154296875   minimal norm  13.495481587786486\n",
      "Found minimum norm =  13.48303267695998  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.019335937500000004   minimal norm  13.48303267695998\n",
      "Found minimum norm =  13.522390053833043  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0001953125   minimal norm  13.522390053833043\n",
      "Found minimum norm =  13.475554413651642  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.020898437500000002   minimal norm  13.475554413651642\n",
      "Found minimum norm =  13.455044567883123  for s =  0.06738281250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.06738281250000001   minimal norm  13.455044567883123\n",
      "Found minimum norm =  13.52001886160595  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.014257812500000001   minimal norm  13.52001886160595\n",
      "Found minimum norm =  13.519838442573532  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0044921875000000005   minimal norm  13.519838442573532\n",
      "Found minimum norm =  13.4955014482121  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0146484375   minimal norm  13.4955014482121\n",
      "Found minimum norm =  13.52215664669464  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0005859375000000001   minimal norm  13.52215664669464\n",
      "Found minimum norm =  13.520690391345216  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.012304687500000001   minimal norm  13.520690391345216\n",
      "Found minimum norm =  13.492835580345158  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.016992187500000002   minimal norm  13.492835580345158\n",
      "Found minimum norm =  13.521214426831266  for s =  0.004882812500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.004882812500000001   minimal norm  13.521214426831266\n",
      "Found minimum norm =  13.485653296177635  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.018945312500000002   minimal norm  13.485653296177635\n",
      "Found minimum norm =  13.489571357676573  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0166015625   minimal norm  13.489571357676573\n",
      "Found minimum norm =  13.324893903496884  for s =  0.08222656250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.08222656250000002   minimal norm  13.324893903496884\n",
      "Found minimum norm =  13.522195968334449  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0001953125   minimal norm  13.522195968334449\n",
      "Found minimum norm =  13.496891944356006  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.015039062499999999   minimal norm  13.496891944356006\n",
      "Found minimum norm =  13.481566178013608  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.019726562500000003   minimal norm  13.481566178013608\n",
      "Found minimum norm =  13.522337528110123  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0001953125   minimal norm  13.522337528110123\n",
      "Found minimum norm =  13.48303267695998  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.019335937500000004   minimal norm  13.48303267695998\n",
      "Found minimum norm =  13.482364854049582  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0498046875   minimal norm  13.482364854049582\n",
      "Found minimum norm =  13.521800141256527  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0072265625   minimal norm  13.521800141256527\n",
      "Found minimum norm =  13.519893916379312  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0044921875000000005   minimal norm  13.519893916379312\n",
      "Found minimum norm =  13.47792571264715  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.020507812500000003   minimal norm  13.47792571264715\n",
      "Found minimum norm =  13.448147642894227  for s =  0.0716796875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0716796875   minimal norm  13.448147642894227\n",
      "Found minimum norm =  13.42215530005516  for s =  0.08652343750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.08652343750000001   minimal norm  13.42215530005516\n",
      "Found minimum norm =  13.429607504866956  for s =  0.032617187500000006\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.032617187500000006   minimal norm  13.429607504866956\n",
      "Found minimum norm =  13.520690391345216  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.012304687500000001   minimal norm  13.520690391345216\n",
      "Found minimum norm =  13.466145374929335  for s =  0.0271484375\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0271484375   minimal norm  13.466145374929335\n",
      "Found minimum norm =  13.47908977541202  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.020898437500000002   minimal norm  13.47908977541202\n",
      "Found minimum norm =  13.522760499429625  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0001953125   minimal norm  13.522760499429625\n",
      "Found minimum norm =  13.492740435878098  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0154296875   minimal norm  13.492740435878098\n",
      "Found minimum norm =  13.522132638200818  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0013671875000000001   minimal norm  13.522132638200818\n",
      "Found minimum norm =  13.521800141256527  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0072265625   minimal norm  13.521800141256527\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  13.490353015757506  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0173828125   minimal norm  13.490353015757506\n",
      "Found minimum norm =  13.520018861605948  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.014257812500000001   minimal norm  13.520018861605948\n",
      "Found minimum norm =  13.467644447983442  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.026757812500000002   minimal norm  13.467644447983442\n",
      "Found minimum norm =  13.478053263401584  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.021679687500000003   minimal norm  13.478053263401584\n",
      "Found minimum norm =  13.489642183499472  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.0498046875   minimal norm  13.489642183499472\n",
      "Found minimum norm =  13.521916874988918  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0025390625000000005   minimal norm  13.521916874988918\n",
      "Found minimum norm =  13.484828485628162  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.018945312500000002   minimal norm  13.484828485628162\n",
      "Found minimum norm =  13.479089775412021  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.020898437500000002   minimal norm  13.479089775412021\n",
      "Found minimum norm =  13.522185464757623  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0001953125   minimal norm  13.522185464757623\n",
      "Found minimum norm =  13.48957135767657  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0166015625   minimal norm  13.48957135767657\n",
      "Found minimum norm =  13.521584548762961  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0080078125   minimal norm  13.521584548762961\n",
      "Found minimum norm =  13.52212061832549  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0013671875000000001   minimal norm  13.52212061832549\n",
      "Found minimum norm =  13.289177129986406  for s =  0.0451171875\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0451171875   minimal norm  13.289177129986406\n",
      "Found minimum norm =  13.52018551279838  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0060546875   minimal norm  13.52018551279838\n",
      "Found minimum norm =  13.480147116949802  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.018945312500000002   minimal norm  13.480147116949802\n",
      "Found minimum norm =  13.496891944356005  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.015039062499999999   minimal norm  13.496891944356005\n",
      "Found minimum norm =  13.518188093323694  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.012304687500000001   minimal norm  13.518188093323694\n",
      "Found minimum norm =  13.495481587786484  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0154296875   minimal norm  13.495481587786484\n",
      "Found minimum norm =  13.522252228670135  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0001953125   minimal norm  13.522252228670135\n",
      "Found minimum norm =  13.522132638200818  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0013671875000000001   minimal norm  13.522132638200818\n",
      "Found minimum norm =  13.483773876469261  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.018554687500000003   minimal norm  13.483773876469261\n",
      "Found minimum norm =  13.49369995520284  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0158203125   minimal norm  13.49369995520284\n",
      "Found minimum norm =  13.522329559853855  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0001953125   minimal norm  13.522329559853855\n",
      "Found minimum norm =  13.448147642894222  for s =  0.0716796875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0716796875   minimal norm  13.448147642894222\n",
      "Found minimum norm =  13.513940179159086  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0095703125   minimal norm  13.513940179159086\n",
      "Found minimum norm =  13.52215664669464  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0005859375000000001   minimal norm  13.52215664669464\n",
      "Found minimum norm =  13.485993522415747  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.020898437500000002   minimal norm  13.485993522415747\n",
      "Found minimum norm =  13.484828485628164  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.018945312500000002   minimal norm  13.484828485628164\n",
      "Found minimum norm =  13.343395381917146  for s =  0.08886718750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.08886718750000001   minimal norm  13.343395381917146\n",
      "Found minimum norm =  13.496815143138306  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0154296875   minimal norm  13.496815143138306\n",
      "Found minimum norm =  13.522252228670137  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0001953125   minimal norm  13.522252228670137\n",
      "Found minimum norm =  13.482364854049582  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0498046875   minimal norm  13.482364854049582\n",
      "Found minimum norm =  13.514586929278163  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.009179687500000002   minimal norm  13.514586929278163\n",
      "Found minimum norm =  13.455044567883121  for s =  0.06738281250000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.06738281250000001   minimal norm  13.455044567883121\n",
      "Found minimum norm =  13.401702733480796  for s =  0.0427734375\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0427734375   minimal norm  13.401702733480796\n",
      "Found minimum norm =  13.46764444798344  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.026757812500000002   minimal norm  13.46764444798344\n",
      "Found minimum norm =  13.522544715078812  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0001953125   minimal norm  13.522544715078812\n",
      "Found minimum norm =  13.521729084567207  for s =  0.004882812500000001\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.004882812500000001   minimal norm  13.521729084567207\n",
      "Found minimum norm =  13.485993522415745  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.020898437500000002   minimal norm  13.485993522415745\n",
      "Found minimum norm =  13.466145374929336  for s =  0.0271484375\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0271484375   minimal norm  13.466145374929336\n",
      "Found minimum norm =  13.383392440174484  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0998046875   minimal norm  13.383392440174484\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  13.485653296177633  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.018945312500000002   minimal norm  13.485653296177633\n",
      "Found minimum norm =  13.48817904968637  for s =  0.07949218750000002\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.07949218750000002   minimal norm  13.48817904968637\n",
      "Found minimum norm =  13.521584548762963  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0080078125   minimal norm  13.521584548762963\n",
      "Found minimum norm =  13.358638084840257  for s =  0.040039062500000014\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.040039062500000014   minimal norm  13.358638084840257\n",
      "Found minimum norm =  13.484996109888804  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0166015625   minimal norm  13.484996109888804\n",
      "Found minimum norm =  13.518188093323694  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.012304687500000001   minimal norm  13.518188093323694\n",
      "Found minimum norm =  13.522337528110125  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0001953125   minimal norm  13.522337528110125\n",
      "Found minimum norm =  13.489406873327  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.016992187500000002   minimal norm  13.489406873327\n",
      "Found minimum norm =  13.522390053833043  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0001953125   minimal norm  13.522390053833043\n",
      "Found minimum norm =  13.514586929278163  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.009179687500000002   minimal norm  13.514586929278163\n",
      "Found minimum norm =  13.490353015757506  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0173828125   minimal norm  13.490353015757506\n",
      "Found minimum norm =  13.422276620836197  for s =  0.07675781250000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.07675781250000001   minimal norm  13.422276620836197\n",
      "Found minimum norm =  13.522254203760017  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0001953125   minimal norm  13.522254203760017\n",
      "Found minimum norm =  13.513940179159084  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0095703125   minimal norm  13.513940179159084\n",
      "Found minimum norm =  13.429607504866954  for s =  0.032617187500000006\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.032617187500000006   minimal norm  13.429607504866954\n",
      "Found minimum norm =  13.522550374727448  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0001953125   minimal norm  13.522550374727448\n",
      "Found minimum norm =  13.492835580345158  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.016992187500000002   minimal norm  13.492835580345158\n",
      "Found minimum norm =  13.383392440174486  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0998046875   minimal norm  13.383392440174486\n",
      "Found minimum norm =  13.522185464757625  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0001953125   minimal norm  13.522185464757625\n",
      "Found minimum norm =  13.307273375289629  for s =  0.0451171875\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0451171875   minimal norm  13.307273375289629\n",
      "Found minimum norm =  13.520974295017352  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0052734375   minimal norm  13.520974295017352\n",
      "Found minimum norm =  13.483773876469265  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.018554687500000003   minimal norm  13.483773876469265\n",
      "Found minimum norm =  13.519893916379315  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0044921875000000005   minimal norm  13.519893916379315\n",
      "Found minimum norm =  13.422276620836197  for s =  0.07675781250000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.07675781250000001   minimal norm  13.422276620836197\n",
      "Found minimum norm =  13.519838442573532  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0044921875000000005   minimal norm  13.519838442573532\n",
      "Found minimum norm =  13.522544715078812  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0001953125   minimal norm  13.522544715078812\n",
      "Found minimum norm =  13.489642183499475  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0498046875   minimal norm  13.489642183499475\n",
      "Found minimum norm =  13.310899957671946  for s =  0.04472656250000001\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.04472656250000001   minimal norm  13.310899957671946\n",
      "Found minimum norm =  13.499953031719933  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0134765625   minimal norm  13.499953031719933\n",
      "Found minimum norm =  13.343395381917151  for s =  0.08886718750000001\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.08886718750000001   minimal norm  13.343395381917151\n",
      "Found minimum norm =  13.522760499429626  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0001953125   minimal norm  13.522760499429626\n",
      "Found minimum norm =  13.307273375289629  for s =  0.0451171875\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0451171875   minimal norm  13.307273375289629\n",
      "Found minimum norm =  13.324893903496884  for s =  0.08222656250000002\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.08222656250000002   minimal norm  13.324893903496884\n",
      "Found minimum norm =  13.358638084840257  for s =  0.040039062500000014\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.040039062500000014   minimal norm  13.358638084840257\n",
      "Found minimum norm =  13.289177129986406  for s =  0.0451171875\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0451171875   minimal norm  13.289177129986406\n",
      "Found minimum norm =  13.522167201296382  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  13.522167201296382\n",
      "Found minimum norm =  13.287029166842613  for s =  0.0041015625\n",
      "Found that canonical is better because  13.287029166842613 13.289177129986406\n",
      "Found minimum norm =  13.287029166842613  for s =  0.0041015625\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  11\n",
      "Found minimum norm =  13.235413600374367  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0158203125   minimal norm  13.235413600374367\n",
      "Found minimum norm =  13.28547969952142  for s =  0.005664062500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.005664062500000001   minimal norm  13.28547969952142\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  13.287070618960943  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0001953125   minimal norm  13.287070618960943\n",
      "Found minimum norm =  13.223134685407086  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0181640625   minimal norm  13.223134685407086\n",
      "Found minimum norm =  13.287037504433583  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  13.287037504433583\n",
      "Found minimum norm =  13.235208429283706  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0173828125   minimal norm  13.235208429283706\n",
      "Found minimum norm =  13.230765918875798  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0173828125   minimal norm  13.230765918875798\n",
      "Found minimum norm =  13.285823355987967  for s =  0.005664062500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.005664062500000001   minimal norm  13.285823355987967\n",
      "Found minimum norm =  13.286601999322116  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0029296875   minimal norm  13.286601999322116\n",
      "Found minimum norm =  13.230568571249027  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0181640625   minimal norm  13.230568571249027\n",
      "Found minimum norm =  13.214056255133737  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0212890625   minimal norm  13.214056255133737\n",
      "Found minimum norm =  13.28711356715355  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0001953125   minimal norm  13.28711356715355\n",
      "Found minimum norm =  13.23376100966515  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.016992187500000002   minimal norm  13.23376100966515\n",
      "Found minimum norm =  13.286786589154017  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0037109375   minimal norm  13.286786589154017\n",
      "Found minimum norm =  13.286892992861103  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0021484375   minimal norm  13.286892992861103\n",
      "Found minimum norm =  13.242703219731393  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0154296875   minimal norm  13.242703219731393\n",
      "Found minimum norm =  13.287037504433583  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  13.287037504433583\n",
      "Found minimum norm =  13.232520115813305  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.017773437500000003   minimal norm  13.232520115813305\n",
      "Found minimum norm =  13.219954417683217  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.020117187500000005   minimal norm  13.219954417683217\n",
      "Found minimum norm =  13.287232198350816  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0001953125   minimal norm  13.287232198350816\n",
      "Found minimum norm =  13.21158941143257  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0212890625   minimal norm  13.21158941143257\n",
      "Found minimum norm =  13.20714096563591  for s =  0.07402343750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.07402343750000001   minimal norm  13.20714096563591\n",
      "Found minimum norm =  13.285180315115536  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.015039062499999999   minimal norm  13.285180315115536\n",
      "Found minimum norm =  13.266373258202476  for s =  0.011132812500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.011132812500000002   minimal norm  13.266373258202476\n",
      "Found minimum norm =  13.23376100966515  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.016992187500000002   minimal norm  13.23376100966515\n",
      "Found minimum norm =  13.287037548828632  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0001953125   minimal norm  13.287037548828632\n",
      "Found minimum norm =  13.2858529125473  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0134765625   minimal norm  13.2858529125473\n",
      "Found minimum norm =  13.230146857272333  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.018554687500000003   minimal norm  13.230146857272333\n",
      "Found minimum norm =  13.286345584694049  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0044921875000000005   minimal norm  13.286345584694049\n",
      "Found minimum norm =  13.222201227624694  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.020117187500000005   minimal norm  13.222201227624694\n",
      "Found minimum norm =  13.226998884597545  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.018554687500000003   minimal norm  13.226998884597545\n",
      "Found minimum norm =  13.115037732902667  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.08144531250000002   minimal norm  13.115037732902667\n",
      "Found minimum norm =  13.287070618960941  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0001953125   minimal norm  13.287070618960941\n",
      "Found minimum norm =  13.235800826545848  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0173828125   minimal norm  13.235800826545848\n",
      "Found minimum norm =  13.218197565926179  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.020507812500000003   minimal norm  13.218197565926179\n",
      "Found minimum norm =  13.287198706971436  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0001953125   minimal norm  13.287198706971436\n",
      "Found minimum norm =  13.219954417683217  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.020117187500000005   minimal norm  13.219954417683217\n",
      "Found minimum norm =  13.233366012222257  for s =  0.07089843750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.07089843750000001   minimal norm  13.233366012222257\n",
      "Found minimum norm =  13.286822711732578  for s =  0.0068359375\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0068359375   minimal norm  13.286822711732578\n",
      "Found minimum norm =  13.26742112705004  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0107421875   minimal norm  13.26742112705004\n",
      "Found minimum norm =  13.214056255133737  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0212890625   minimal norm  13.214056255133737\n",
      "Found minimum norm =  13.198777886009143  for s =  0.07792968750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.07792968750000001   minimal norm  13.198777886009143\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  13.173465296346794  for s =  0.09160156250000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.09160156250000001   minimal norm  13.173465296346794\n",
      "Found minimum norm =  13.167426147440313  for s =  0.028710937500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.028710937500000002   minimal norm  13.167426147440313\n",
      "Found minimum norm =  13.2858529125473  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0134765625   minimal norm  13.2858529125473\n",
      "Found minimum norm =  13.204244335494252  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.024804687500000002   minimal norm  13.204244335494252\n",
      "Found minimum norm =  13.215820135851263  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0212890625   minimal norm  13.215820135851263\n",
      "Found minimum norm =  13.287641603973128  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0001953125   minimal norm  13.287641603973128\n",
      "Found minimum norm =  13.230765918875798  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0173828125   minimal norm  13.230765918875798\n",
      "Found minimum norm =  13.287024667243479  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0005859375000000001   minimal norm  13.287024667243479\n",
      "Found minimum norm =  13.286822711732576  for s =  0.0068359375\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0068359375   minimal norm  13.286822711732576\n",
      "Found minimum norm =  13.227577090587728  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.018945312500000002   minimal norm  13.227577090587728\n",
      "Found minimum norm =  13.285180315115534  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.015039062499999999   minimal norm  13.285180315115534\n",
      "Found minimum norm =  13.205798321332379  for s =  0.0244140625\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0244140625   minimal norm  13.205798321332379\n",
      "Found minimum norm =  13.214982245173017  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.021679687500000003   minimal norm  13.214982245173017\n",
      "Found minimum norm =  13.249326939430638  for s =  0.061914062500000006\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.061914062500000006   minimal norm  13.249326939430638\n",
      "Found minimum norm =  13.286892992861103  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0021484375   minimal norm  13.286892992861103\n",
      "Found minimum norm =  13.221823304903008  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.019726562500000003   minimal norm  13.221823304903008\n",
      "Found minimum norm =  13.215820135851263  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0212890625   minimal norm  13.215820135851263\n",
      "Found minimum norm =  13.287054754766842  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0001953125   minimal norm  13.287054754766842\n",
      "Found minimum norm =  13.226998884597544  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.018554687500000003   minimal norm  13.226998884597544\n",
      "Found minimum norm =  13.286643965413488  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0076171875   minimal norm  13.286643965413488\n",
      "Found minimum norm =  13.287021376280382  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0005859375000000001   minimal norm  13.287021376280382\n",
      "Found minimum norm =  13.061150207526355  for s =  0.0361328125\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0361328125   minimal norm  13.061150207526355\n",
      "Found minimum norm =  13.28547969952142  for s =  0.005664062500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.005664062500000001   minimal norm  13.28547969952142\n",
      "Found minimum norm =  13.217528588475156  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.019726562500000003   minimal norm  13.217528588475156\n",
      "Found minimum norm =  13.235800826545846  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0173828125   minimal norm  13.235800826545846\n",
      "Found minimum norm =  13.28270157592084  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0134765625   minimal norm  13.28270157592084\n",
      "Found minimum norm =  13.232520115813305  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.017773437500000003   minimal norm  13.232520115813305\n",
      "Found minimum norm =  13.287114850925452  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0001953125   minimal norm  13.287114850925452\n",
      "Found minimum norm =  13.28702466724348  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0005859375000000001   minimal norm  13.28702466724348\n",
      "Found minimum norm =  13.223037302812193  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.019335937500000004   minimal norm  13.223037302812193\n",
      "Found minimum norm =  13.230568571249027  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0181640625   minimal norm  13.230568571249027\n",
      "Found minimum norm =  13.287179362131972  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0001953125   minimal norm  13.287179362131972\n",
      "Found minimum norm =  13.19877788600914  for s =  0.07792968750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.07792968750000001   minimal norm  13.19877788600914\n",
      "Found minimum norm =  13.255019982479029  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0146484375   minimal norm  13.255019982479029\n",
      "Found minimum norm =  13.287037548828632  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0001953125   minimal norm  13.287037548828632\n",
      "Found minimum norm =  13.222744306224419  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.020898437500000002   minimal norm  13.222744306224419\n",
      "Found minimum norm =  13.221823304903008  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.019726562500000003   minimal norm  13.221823304903008\n",
      "Found minimum norm =  13.121017483090984  for s =  0.09042968750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.09042968750000001   minimal norm  13.121017483090984\n",
      "Found minimum norm =  13.235208429283706  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0173828125   minimal norm  13.235208429283706\n",
      "Found minimum norm =  13.287114850925452  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0001953125   minimal norm  13.287114850925452\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  13.233366012222255  for s =  0.07089843750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.07089843750000001   minimal norm  13.233366012222255\n",
      "Found minimum norm =  13.25582291849057  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0146484375   minimal norm  13.25582291849057\n",
      "Found minimum norm =  13.207140965635906  for s =  0.07402343750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.07402343750000001   minimal norm  13.207140965635906\n",
      "Found minimum norm =  13.151001067004655  for s =  0.0333984375\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0333984375   minimal norm  13.151001067004655\n",
      "Found minimum norm =  13.205798321332379  for s =  0.0244140625\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0244140625   minimal norm  13.205798321332379\n",
      "Found minimum norm =  13.287396499642627  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0001953125   minimal norm  13.287396499642627\n",
      "Found minimum norm =  13.286786589154017  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0037109375   minimal norm  13.286786589154017\n",
      "Found minimum norm =  13.222744306224419  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.020898437500000002   minimal norm  13.222744306224419\n",
      "Found minimum norm =  13.204244335494254  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.024804687500000002   minimal norm  13.204244335494254\n",
      "Found minimum norm =  13.131993121025918  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0998046875   minimal norm  13.131993121025918\n",
      "Found minimum norm =  13.222201227624693  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.020117187500000005   minimal norm  13.222201227624693\n",
      "Found minimum norm =  13.241844148404855  for s =  0.08886718750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.08886718750000001   minimal norm  13.241844148404855\n",
      "Found minimum norm =  13.28664396541349  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0076171875   minimal norm  13.28664396541349\n",
      "Found minimum norm =  13.118767613273723  for s =  0.0322265625\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0322265625   minimal norm  13.118767613273723\n",
      "Found minimum norm =  13.223134685407084  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0181640625   minimal norm  13.223134685407084\n",
      "Found minimum norm =  13.282701575920838  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0134765625   minimal norm  13.282701575920838\n",
      "Found minimum norm =  13.287198706971436  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0001953125   minimal norm  13.287198706971436\n",
      "Found minimum norm =  13.229689274990765  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0181640625   minimal norm  13.229689274990765\n",
      "Found minimum norm =  13.287232198350816  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0001953125   minimal norm  13.287232198350816\n",
      "Found minimum norm =  13.255822918490571  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0146484375   minimal norm  13.255822918490571\n",
      "Found minimum norm =  13.227577090587728  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.018945312500000002   minimal norm  13.227577090587728\n",
      "Found minimum norm =  13.20412846400247  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.07480468750000001   minimal norm  13.20412846400247\n",
      "Found minimum norm =  13.28711356715355  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0001953125   minimal norm  13.28711356715355\n",
      "Found minimum norm =  13.255019982479029  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0146484375   minimal norm  13.255019982479029\n",
      "Found minimum norm =  13.167426147440313  for s =  0.028710937500000002\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.028710937500000002   minimal norm  13.167426147440313\n",
      "Found minimum norm =  13.287400901593656  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0001953125   minimal norm  13.287400901593656\n",
      "Found minimum norm =  13.230146857272333  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.018554687500000003   minimal norm  13.230146857272333\n",
      "Found minimum norm =  13.131993121025918  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0998046875   minimal norm  13.131993121025918\n",
      "Found minimum norm =  13.287054754766844  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0001953125   minimal norm  13.287054754766844\n",
      "Found minimum norm =  13.076093460776441  for s =  0.03574218750000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.03574218750000001   minimal norm  13.076093460776441\n",
      "Found minimum norm =  13.285823355987965  for s =  0.005664062500000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.005664062500000001   minimal norm  13.285823355987965\n",
      "Found minimum norm =  13.223037302812195  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.019335937500000004   minimal norm  13.223037302812195\n",
      "Found minimum norm =  13.267421127050042  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0107421875   minimal norm  13.267421127050042\n",
      "Found minimum norm =  13.20412846400247  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.07480468750000001   minimal norm  13.20412846400247\n",
      "Found minimum norm =  13.266373258202472  for s =  0.011132812500000002\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.011132812500000002   minimal norm  13.266373258202472\n",
      "Found minimum norm =  13.287396499642629  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0001953125   minimal norm  13.287396499642629\n",
      "Found minimum norm =  13.249326939430636  for s =  0.061914062500000006\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.061914062500000006   minimal norm  13.249326939430636\n",
      "Found minimum norm =  13.079307138382116  for s =  0.0353515625\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0353515625   minimal norm  13.079307138382116\n",
      "Found minimum norm =  13.242703219731395  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0154296875   minimal norm  13.242703219731395\n",
      "Found minimum norm =  13.121017483090988  for s =  0.09042968750000001\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.09042968750000001   minimal norm  13.121017483090988\n",
      "Found minimum norm =  13.287641603973128  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0001953125   minimal norm  13.287641603973128\n",
      "Found minimum norm =  13.076093460776438  for s =  0.03574218750000001\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.03574218750000001   minimal norm  13.076093460776438\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  13.11503773290267  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.08144531250000002   minimal norm  13.11503773290267\n",
      "Found minimum norm =  13.118767613273723  for s =  0.0322265625\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0322265625   minimal norm  13.118767613273723\n",
      "Found minimum norm =  13.061150207526353  for s =  0.0361328125\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0361328125   minimal norm  13.061150207526353\n",
      "Found minimum norm =  13.287029166842613  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  13.287029166842613\n",
      "Found minimum norm =  13.067817529048938  for s =  0.0033203125000000003\n",
      "Found that canonical is worse because  13.067817529048938 13.061150207526353\n",
      "Found minimum norm =  13.061150207526353  for s =  0.0361328125\n",
      "Flowing forwards with type  single_commutator\n",
      "[]\n",
      "Flow step  12\n",
      "Found minimum norm =  13.038702178383828  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.013085937500000002   minimal norm  13.038702178383828\n",
      "Found minimum norm =  13.060358120903139  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0041015625   minimal norm  13.060358120903139\n",
      "Found minimum norm =  13.061211258307353  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0001953125   minimal norm  13.061211258307353\n",
      "Found minimum norm =  13.030347278774952  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0162109375   minimal norm  13.030347278774952\n",
      "Found minimum norm =  13.061187673617392  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  13.061187673617392\n",
      "Found minimum norm =  13.041317795904535  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.014257812500000001   minimal norm  13.041317795904535\n",
      "Found minimum norm =  13.036603540417847  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.015039062499999999   minimal norm  13.036603540417847\n",
      "Found minimum norm =  13.060423301559371  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0044921875000000005   minimal norm  13.060423301559371\n",
      "Found minimum norm =  13.061073401815769  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0013671875000000001   minimal norm  13.061073401815769\n",
      "Found minimum norm =  13.037394464658053  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0154296875   minimal norm  13.037394464658053\n",
      "Found minimum norm =  13.020924325510363  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.021679687500000003   minimal norm  13.020924325510363\n",
      "Found minimum norm =  13.061253767337469  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0001953125   minimal norm  13.061253767337469\n",
      "Found minimum norm =  13.038184222965798  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0146484375   minimal norm  13.038184222965798\n",
      "Found minimum norm =  13.061161303919995  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0001953125   minimal norm  13.061161303919995\n",
      "Found minimum norm =  13.061128169362904  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0009765625   minimal norm  13.061128169362904\n",
      "Found minimum norm =  13.046904487455976  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0115234375   minimal norm  13.046904487455976\n",
      "Found minimum norm =  13.061191233550385  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  13.061191233550385\n",
      "Found minimum norm =  13.038913158690926  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0146484375   minimal norm  13.038913158690926\n",
      "Found minimum norm =  13.027222587184696  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.019726562500000003   minimal norm  13.027222587184696\n",
      "Found minimum norm =  13.061374713109332  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0001953125   minimal norm  13.061374713109332\n",
      "Found minimum norm =  13.01744180975648  for s =  0.0220703125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0220703125   minimal norm  13.01744180975648\n",
      "Found minimum norm =  12.986113227844704  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.07480468750000001   minimal norm  12.986113227844704\n",
      "Found minimum norm =  13.06006160934581  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0146484375   minimal norm  13.06006160934581\n",
      "Found minimum norm =  13.060538900928472  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0025390625000000005   minimal norm  13.060538900928472\n",
      "Found minimum norm =  13.03822559830211  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0146484375   minimal norm  13.03822559830211\n",
      "Found minimum norm =  13.061195714154378  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0001953125   minimal norm  13.061195714154378\n",
      "Found minimum norm =  13.060126911139406  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.019335937500000004   minimal norm  13.060126911139406\n",
      "Found minimum norm =  13.03754096940639  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0162109375   minimal norm  13.03754096940639\n",
      "Found minimum norm =  13.060965846510445  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0025390625000000005   minimal norm  13.060965846510445\n",
      "Found minimum norm =  13.03018158305176  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.018554687500000003   minimal norm  13.03018158305176\n",
      "Found minimum norm =  13.033264879849947  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0166015625   minimal norm  13.033264879849947\n",
      "Found minimum norm =  12.877884472147125  for s =  0.08691406250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.08691406250000001   minimal norm  12.877884472147125\n",
      "Found minimum norm =  13.061211393314032  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0001953125   minimal norm  13.061211393314032\n",
      "Found minimum norm =  13.042566190169149  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0138671875   minimal norm  13.042566190169149\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  13.026161561767491  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.020117187500000005   minimal norm  13.026161561767491\n",
      "Found minimum norm =  13.0613263253244  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0001953125   minimal norm  13.0613263253244\n",
      "Found minimum norm =  13.026959459926653  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.019726562500000003   minimal norm  13.026959459926653\n",
      "Found minimum norm =  13.016202848870183  for s =  0.0685546875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0685546875   minimal norm  13.016202848870183\n",
      "Found minimum norm =  13.060931277192884  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0080078125   minimal norm  13.060931277192884\n",
      "Found minimum norm =  13.06089272057239  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0017578125   minimal norm  13.06089272057239\n",
      "Found minimum norm =  13.020833215227535  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.021679687500000003   minimal norm  13.020833215227535\n",
      "Found minimum norm =  12.977379941930007  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.07480468750000001   minimal norm  12.977379941930007\n",
      "Found minimum norm =  12.926316675389218  for s =  0.09863281250000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.09863281250000001   minimal norm  12.926316675389218\n",
      "Found minimum norm =  12.967393599609164  for s =  0.0361328125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0361328125   minimal norm  12.967393599609164\n",
      "Found minimum norm =  13.059962395803517  for s =  0.022460937500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.022460937500000003   minimal norm  13.059962395803517\n",
      "Found minimum norm =  13.01232771888164  for s =  0.0279296875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0279296875   minimal norm  13.01232771888164\n",
      "Found minimum norm =  13.024316716795614  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.021679687500000003   minimal norm  13.024316716795614\n",
      "Found minimum norm =  13.061777019168634  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0001953125   minimal norm  13.061777019168634\n",
      "Found minimum norm =  13.036476175401983  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.015039062499999999   minimal norm  13.036476175401983\n",
      "Found minimum norm =  13.061168417552606  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0001953125   minimal norm  13.061168417552606\n",
      "Found minimum norm =  13.06076912016422  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.012304687500000001   minimal norm  13.06076912016422\n",
      "Found minimum norm =  13.035952056956253  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0166015625   minimal norm  13.035952056956253\n",
      "Found minimum norm =  13.059103516684434  for s =  0.0232421875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0232421875   minimal norm  13.059103516684434\n",
      "Found minimum norm =  13.014446826145432  for s =  0.0271484375\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0271484375   minimal norm  13.014446826145432\n",
      "Found minimum norm =  13.0235236261724  for s =  0.022460937500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.022460937500000003   minimal norm  13.0235236261724\n",
      "Found minimum norm =  13.021960887735219  for s =  0.0634765625\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.0634765625   minimal norm  13.021960887735219\n",
      "Found minimum norm =  13.061131843864764  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0009765625   minimal norm  13.061131843864764\n",
      "Found minimum norm =  13.030468530132172  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0181640625   minimal norm  13.030468530132172\n",
      "Found minimum norm =  13.023724168705458  for s =  0.0220703125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0220703125   minimal norm  13.023724168705458\n",
      "Found minimum norm =  13.061180047220738  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0001953125   minimal norm  13.061180047220738\n",
      "Found minimum norm =  13.033027763684318  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.016992187500000002   minimal norm  13.033027763684318\n",
      "Found minimum norm =  13.061150608572149  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0001953125   minimal norm  13.061150608572149\n",
      "Found minimum norm =  13.061142378622206  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0005859375000000001   minimal norm  13.061142378622206\n",
      "Found minimum norm =  12.835732149760124  for s =  0.048242187500000006\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.048242187500000006   minimal norm  12.835732149760124\n",
      "Found minimum norm =  13.060293412753238  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0044921875000000005   minimal norm  13.060293412753238\n",
      "Found minimum norm =  13.024862889201135  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.018554687500000003   minimal norm  13.024862889201135\n",
      "Found minimum norm =  13.042054212523773  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.014257812500000001   minimal norm  13.042054212523773\n",
      "Found minimum norm =  13.057802222360836  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.012304687500000001   minimal norm  13.057802222360836\n",
      "Found minimum norm =  13.037139632236977  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0158203125   minimal norm  13.037139632236977\n",
      "Found minimum norm =  13.061267349376315  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0001953125   minimal norm  13.061267349376315\n",
      "Found minimum norm =  13.061160931471704  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0001953125   minimal norm  13.061160931471704\n",
      "Found minimum norm =  13.031211901376153  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0173828125   minimal norm  13.031211901376153\n",
      "Found minimum norm =  13.036437271705216  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0162109375   minimal norm  13.036437271705216\n",
      "Found minimum norm =  13.061346212984061  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0001953125   minimal norm  13.061346212984061\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  12.944664491405698  for s =  0.08847656250000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.08847656250000001   minimal norm  12.944664491405698\n",
      "Found minimum norm =  13.056659069874286  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0076171875   minimal norm  13.056659069874286\n",
      "Found minimum norm =  13.061189558905124  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0001953125   minimal norm  13.061189558905124\n",
      "Found minimum norm =  13.031270835260651  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.020117187500000005   minimal norm  13.031270835260651\n",
      "Found minimum norm =  13.029322500361314  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.019335937500000004   minimal norm  13.029322500361314\n",
      "Found minimum norm =  12.884077129399664  for s =  0.0955078125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0955078125   minimal norm  12.884077129399664\n",
      "Found minimum norm =  13.040856358009318  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0146484375   minimal norm  13.040856358009318\n",
      "Found minimum norm =  13.0612723391287  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0001953125   minimal norm  13.0612723391287\n",
      "Found minimum norm =  12.989578231418566  for s =  0.08105468750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.08105468750000001   minimal norm  12.989578231418566\n",
      "Found minimum norm =  13.057202366302448  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0072265625   minimal norm  13.057202366302448\n",
      "Found minimum norm =  12.947939860931864  for s =  0.0873046875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0873046875   minimal norm  12.947939860931864\n",
      "Found minimum norm =  12.938384195967778  for s =  0.046289062500000006\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.046289062500000006   minimal norm  12.938384195967778\n",
      "Found minimum norm =  13.012652529267163  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0283203125   minimal norm  13.012652529267163\n",
      "Found minimum norm =  13.06153850035998  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0001953125   minimal norm  13.06153850035998\n",
      "Found minimum norm =  13.061155569157938  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0001953125   minimal norm  13.061155569157938\n",
      "Found minimum norm =  13.031439051004638  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.020117187500000005   minimal norm  13.031439051004638\n",
      "Found minimum norm =  13.008222517771195  for s =  0.0302734375\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0302734375   minimal norm  13.008222517771195\n",
      "Found minimum norm =  12.895236170433027  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0998046875   minimal norm  12.895236170433027\n",
      "Found minimum norm =  13.028229105105986  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.020117187500000005   minimal norm  13.028229105105986\n",
      "Found minimum norm =  13.019076990849307  for s =  0.0919921875\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0919921875   minimal norm  13.019076990849307\n",
      "Found minimum norm =  13.061028972690435  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0072265625   minimal norm  13.061028972690435\n",
      "Found minimum norm =  12.907315161166668  for s =  0.042382812500000006\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.042382812500000006   minimal norm  12.907315161166668\n",
      "Found minimum norm =  13.030604866330064  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0162109375   minimal norm  13.030604866330064\n",
      "Found minimum norm =  13.057608091015501  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0119140625   minimal norm  13.057608091015501\n",
      "Found minimum norm =  13.061316977590105  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0001953125   minimal norm  13.061316977590105\n",
      "Found minimum norm =  13.038260279131347  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0154296875   minimal norm  13.038260279131347\n",
      "Found minimum norm =  13.06134877850236  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0001953125   minimal norm  13.06134877850236\n",
      "Found minimum norm =  13.057215925678296  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0072265625   minimal norm  13.057215925678296\n",
      "Found minimum norm =  13.03534122696054  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0173828125   minimal norm  13.03534122696054\n",
      "Found minimum norm =  12.980316113292597  for s =  0.07402343750000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.07402343750000001   minimal norm  12.980316113292597\n",
      "Found minimum norm =  13.061266600303751  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0001953125   minimal norm  13.061266600303751\n",
      "Found minimum norm =  13.057522681859659  for s =  0.0068359375\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0068359375   minimal norm  13.057522681859659\n",
      "Found minimum norm =  12.959511098845697  for s =  0.0380859375\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0380859375   minimal norm  12.959511098845697\n",
      "Found minimum norm =  13.061522987652312  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0001953125   minimal norm  13.061522987652312\n",
      "Found minimum norm =  13.036720799805487  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.016992187500000002   minimal norm  13.036720799805487\n",
      "Found minimum norm =  12.912888935513466  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0998046875   minimal norm  12.912888935513466\n",
      "Found minimum norm =  13.06117608791248  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0001953125   minimal norm  13.06117608791248\n",
      "Found minimum norm =  12.850695496984878  for s =  0.0490234375\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0490234375   minimal norm  12.850695496984878\n",
      "Found minimum norm =  13.060696046144411  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0037109375   minimal norm  13.060696046144411\n",
      "Found minimum norm =  13.031342319171985  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0173828125   minimal norm  13.031342319171985\n",
      "Found minimum norm =  13.060566122824868  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0025390625000000005   minimal norm  13.060566122824868\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  12.98742061983693  for s =  0.07089843750000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.07089843750000001   minimal norm  12.98742061983693\n",
      "Found minimum norm =  13.0607535736884  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0021484375   minimal norm  13.0607535736884\n",
      "Found minimum norm =  13.061522625898037  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0001953125   minimal norm  13.061522625898037\n",
      "Found minimum norm =  13.00662910855896  for s =  0.07792968750000001\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.07792968750000001   minimal norm  13.00662910855896\n",
      "Found minimum norm =  12.85307626395918  for s =  0.0486328125\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0486328125   minimal norm  12.85307626395918\n",
      "Found minimum norm =  13.049994019939607  for s =  0.010351562500000001\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.010351562500000001   minimal norm  13.049994019939607\n",
      "Found minimum norm =  12.900041717587683  for s =  0.08886718750000001\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.08886718750000001   minimal norm  12.900041717587683\n",
      "Found minimum norm =  13.061810673804727  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0001953125   minimal norm  13.061810673804727\n",
      "Found minimum norm =  12.847161574083922  for s =  0.04941406250000001\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.04941406250000001   minimal norm  12.847161574083922\n",
      "Found minimum norm =  12.930552408827719  for s =  0.0841796875\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0841796875   minimal norm  12.930552408827719\n",
      "Found minimum norm =  12.897724895971837  for s =  0.0431640625\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0431640625   minimal norm  12.897724895971837\n",
      "Found minimum norm =  12.925480332997521  for s =  0.03886718750000001\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.03886718750000001   minimal norm  12.925480332997521\n",
      "Found minimum norm =  13.061150207526353  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  13.061150207526353\n",
      "Found minimum norm =  11.669219124732251  for s =  0.09824218750000001\n",
      "Found that canonical is better because  11.669219124732251 12.835732149760124\n",
      "Found minimum norm =  11.669219124732251  for s =  0.09824218750000001\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  13\n",
      "Found minimum norm =  11.694418218762397  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0001953125   minimal norm  11.694418218762397\n",
      "Found minimum norm =  10.77125504189351  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.019335937500000004   minimal norm  10.77125504189351\n",
      "Found minimum norm =  11.310364830936221  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0134765625   minimal norm  11.310364830936221\n",
      "Found minimum norm =  11.682895233285047  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0001953125   minimal norm  11.682895233285047\n",
      "Found minimum norm =  10.979935326221254  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0162109375   minimal norm  10.979935326221254\n",
      "Found minimum norm =  11.689333796248993  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0001953125   minimal norm  11.689333796248993\n",
      "Found minimum norm =  11.686838311326314  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0001953125   minimal norm  11.686838311326314\n",
      "Found minimum norm =  11.104531774617424  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.019726562500000003   minimal norm  11.104531774617424\n",
      "Found minimum norm =  10.965676311578973  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0162109375   minimal norm  10.965676311578973\n",
      "Found minimum norm =  11.689704941150477  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0001953125   minimal norm  11.689704941150477\n",
      "Found minimum norm =  11.68713695760934  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0001953125   minimal norm  11.68713695760934\n",
      "Found minimum norm =  11.138275272204794  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.018945312500000002   minimal norm  11.138275272204794\n",
      "Found minimum norm =  11.69351480973387  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0001953125   minimal norm  11.69351480973387\n",
      "Found minimum norm =  10.755305390444045  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.020117187500000005   minimal norm  10.755305390444045\n",
      "Found minimum norm =  11.316385982204295  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0138671875   minimal norm  11.316385982204295\n",
      "Found minimum norm =  11.681503026177628  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0001953125   minimal norm  11.681503026177628\n",
      "Found minimum norm =  10.98159315756693  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0162109375   minimal norm  10.98159315756693\n",
      "Found minimum norm =  11.689163341319633  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0001953125   minimal norm  11.689163341319633\n",
      "Found minimum norm =  11.686801503141668  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0001953125   minimal norm  11.686801503141668\n",
      "Found minimum norm =  11.129852996906495  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.019335937500000004   minimal norm  11.129852996906495\n",
      "Found minimum norm =  11.692987891171468  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0001953125   minimal norm  11.692987891171468\n",
      "Found minimum norm =  10.762737202218359  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.020507812500000003   minimal norm  10.762737202218359\n",
      "Found minimum norm =  11.33144012966477  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0138671875   minimal norm  11.33144012966477\n",
      "Found minimum norm =  11.681373734040232  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0001953125   minimal norm  11.681373734040232\n",
      "Found minimum norm =  11.693451800692348  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0001953125   minimal norm  11.693451800692348\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  10.766246358028901  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.020117187500000005   minimal norm  10.766246358028901\n",
      "Found minimum norm =  11.30920795506465  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.014257812500000001   minimal norm  11.30920795506465\n",
      "Found minimum norm =  11.681798412909343  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0001953125   minimal norm  11.681798412909343\n",
      "Found minimum norm =  10.974102057700255  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0166015625   minimal norm  10.974102057700255\n",
      "Found minimum norm =  11.688109924279162  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0001953125   minimal norm  11.688109924279162\n",
      "Found minimum norm =  11.685658751171662  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0001953125   minimal norm  11.685658751171662\n",
      "Found minimum norm =  11.116202389656031  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.020507812500000003   minimal norm  11.116202389656031\n",
      "Found minimum norm =  11.369391939190939  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.013085937500000002   minimal norm  11.369391939190939\n",
      "Found minimum norm =  11.681865092450233  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0001953125   minimal norm  11.681865092450233\n",
      "Found minimum norm =  11.679230464321533  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0001953125   minimal norm  11.679230464321533\n",
      "Found minimum norm =  11.570754005250663  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0138671875   minimal norm  11.570754005250663\n",
      "Found minimum norm =  11.685730772954308  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0001953125   minimal norm  11.685730772954308\n",
      "Found minimum norm =  11.217498762380165  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.018945312500000002   minimal norm  11.217498762380165\n",
      "Found minimum norm =  11.637188141342245  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0060546875   minimal norm  11.637188141342245\n",
      "Found minimum norm =  11.673941625551368  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0001953125   minimal norm  11.673941625551368\n",
      "Found minimum norm =  11.686009570637596  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0001953125   minimal norm  11.686009570637596\n",
      "Found minimum norm =  11.184675011791295  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.019335937500000004   minimal norm  11.184675011791295\n",
      "Found minimum norm =  11.631670690480485  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0064453125000000005   minimal norm  11.631670690480485\n",
      "Found minimum norm =  11.673925765754896  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0001953125   minimal norm  11.673925765754896\n",
      "Found minimum norm =  11.36643208879581  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0138671875   minimal norm  11.36643208879581\n",
      "Found minimum norm =  11.680599354915014  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0001953125   minimal norm  11.680599354915014\n",
      "Found minimum norm =  11.678183902011169  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0001953125   minimal norm  11.678183902011169\n",
      "Found minimum norm =  11.571823623776142  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0158203125   minimal norm  11.571823623776142\n",
      "Found minimum norm =  11.685640295467582  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0001953125   minimal norm  11.685640295467582\n",
      "Found minimum norm =  11.228216619449654  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.018554687500000003   minimal norm  11.228216619449654\n",
      "Found minimum norm =  11.638725440117735  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0060546875   minimal norm  11.638725440117735\n",
      "Found minimum norm =  11.673681475688293  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0001953125   minimal norm  11.673681475688293\n",
      "Found minimum norm =  11.390620495037632  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0134765625   minimal norm  11.390620495037632\n",
      "Found minimum norm =  11.680146141406114  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0001953125   minimal norm  11.680146141406114\n",
      "Found minimum norm =  11.677767517489396  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0001953125   minimal norm  11.677767517489396\n",
      "Found minimum norm =  11.571522845603893  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.016992187500000002   minimal norm  11.571522845603893\n",
      "Found minimum norm =  11.377510331308521  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0134765625   minimal norm  11.377510331308521\n",
      "Found minimum norm =  11.68055585667059  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0001953125   minimal norm  11.68055585667059\n",
      "Found minimum norm =  11.67811663835746  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0001953125   minimal norm  11.67811663835746\n",
      "Found minimum norm =  11.565231875416677  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0166015625   minimal norm  11.565231875416677\n",
      "Found minimum norm =  11.684538537250129  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0001953125   minimal norm  11.684538537250129\n",
      "Found minimum norm =  11.221124921731066  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.019726562500000003   minimal norm  11.221124921731066\n",
      "Found minimum norm =  11.650143706442279  for s =  0.004882812500000001\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.004882812500000001   minimal norm  11.650143706442279\n",
      "Found minimum norm =  11.672158383641412  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0001953125   minimal norm  11.672158383641412\n",
      "Found minimum norm =  11.033965018446342  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0162109375   minimal norm  11.033965018446342\n",
      "Found minimum norm =  11.68691814517434  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.0001953125   minimal norm  11.68691814517434\n",
      "Found minimum norm =  11.6849295655136  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0001953125   minimal norm  11.6849295655136\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  11.16082174868189  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.020898437500000002   minimal norm  11.16082174868189\n",
      "Found minimum norm =  11.691028830118126  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0001953125   minimal norm  11.691028830118126\n",
      "Found minimum norm =  10.856781478348587  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.020507812500000003   minimal norm  10.856781478348587\n",
      "Found minimum norm =  11.389034587078626  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0134765625   minimal norm  11.389034587078626\n",
      "Found minimum norm =  11.678890592819718  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0001953125   minimal norm  11.678890592819718\n",
      "Found minimum norm =  11.691525319670514  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0001953125   minimal norm  11.691525319670514\n",
      "Found minimum norm =  10.831409578940715  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.020507812500000003   minimal norm  10.831409578940715\n",
      "Found minimum norm =  11.357119706301367  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.014257812500000001   minimal norm  11.357119706301367\n",
      "Found minimum norm =  11.679782460431145  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0001953125   minimal norm  11.679782460431145\n",
      "Found minimum norm =  11.042410235917222  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0166015625   minimal norm  11.042410235917222\n",
      "Found minimum norm =  11.685993228004483  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0001953125   minimal norm  11.685993228004483\n",
      "Found minimum norm =  11.68363610052367  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0001953125   minimal norm  11.68363610052367\n",
      "Found minimum norm =  11.14232609106031  for s =  0.022460937500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.022460937500000003   minimal norm  11.14232609106031\n",
      "Found minimum norm =  11.691097092546508  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0001953125   minimal norm  11.691097092546508\n",
      "Found minimum norm =  10.856942615225641  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.020507812500000003   minimal norm  10.856942615225641\n",
      "Found minimum norm =  11.388029749151183  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0138671875   minimal norm  11.388029749151183\n",
      "Found minimum norm =  11.679257236393672  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0001953125   minimal norm  11.679257236393672\n",
      "Found minimum norm =  11.045729987435093  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.016992187500000002   minimal norm  11.045729987435093\n",
      "Found minimum norm =  11.685346921685792  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0001953125   minimal norm  11.685346921685792\n",
      "Found minimum norm =  11.68316405251641  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0001953125   minimal norm  11.68316405251641\n",
      "Found minimum norm =  11.209133313394593  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.021679687500000003   minimal norm  11.209133313394593\n",
      "Found minimum norm =  11.035237757730272  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0166015625   minimal norm  11.035237757730272\n",
      "Found minimum norm =  11.68595365584093  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0001953125   minimal norm  11.68595365584093\n",
      "Found minimum norm =  11.683577087342714  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0001953125   minimal norm  11.683577087342714\n",
      "Found minimum norm =  11.170941333758309  for s =  0.022460937500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.022460937500000003   minimal norm  11.170941333758309\n",
      "Found minimum norm =  11.689892582465918  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0001953125   minimal norm  11.689892582465918\n",
      "Found minimum norm =  10.81394343914608  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.021679687500000003   minimal norm  10.81394343914608\n",
      "Found minimum norm =  11.40022408949849  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0138671875   minimal norm  11.40022408949849\n",
      "Found minimum norm =  11.677670544343128  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0001953125   minimal norm  11.677670544343128\n",
      "Found minimum norm =  11.68366454204491  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0001953125   minimal norm  11.68366454204491\n",
      "Found minimum norm =  11.261967666508907  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.019726562500000003   minimal norm  11.261967666508907\n",
      "Found minimum norm =  11.667458138000962  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0017578125   minimal norm  11.667458138000962\n",
      "Found minimum norm =  11.671286791710244  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0001953125   minimal norm  11.671286791710244\n",
      "Found minimum norm =  11.445123303258413  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0126953125   minimal norm  11.445123303258413\n",
      "Found minimum norm =  11.678124611194084  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0001953125   minimal norm  11.678124611194084\n",
      "Found minimum norm =  11.675731420845127  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0001953125   minimal norm  11.675731420845127\n",
      "Found minimum norm =  11.639671519717398  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0154296875   minimal norm  11.639671519717398\n",
      "Found minimum norm =  11.44730757711877  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.012304687500000001   minimal norm  11.44730757711877\n",
      "Found minimum norm =  11.678650314329108  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0001953125   minimal norm  11.678650314329108\n",
      "Found minimum norm =  11.675917012189974  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0001953125   minimal norm  11.675917012189974\n",
      "Found minimum norm =  11.62836742511159  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.016992187500000002   minimal norm  11.62836742511159\n",
      "Found minimum norm =  11.68260562476452  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0001953125   minimal norm  11.68260562476452\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  11.2753607222683  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.020898437500000002   minimal norm  11.2753607222683\n",
      "Found minimum norm =  11.669004486522926  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0005859375000000001   minimal norm  11.669004486522926\n",
      "Found minimum norm =  11.669889065615612  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0001953125   minimal norm  11.669889065615612\n",
      "Found minimum norm =  11.430174486946234  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.013085937500000002   minimal norm  11.430174486946234\n",
      "Found minimum norm =  11.677675700817426  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0001953125   minimal norm  11.677675700817426\n",
      "Found minimum norm =  11.675871363594586  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0001953125   minimal norm  11.675871363594586\n",
      "Found minimum norm =  11.641832625102483  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.015039062499999999   minimal norm  11.641832625102483\n",
      "Found minimum norm =  11.682157841274122  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0001953125   minimal norm  11.682157841274122\n",
      "Found minimum norm =  11.310747347447279  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.020507812500000003   minimal norm  11.310747347447279\n",
      "Found minimum norm =  11.669385958372693  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0001953125   minimal norm  11.669385958372693\n",
      "Found minimum norm =  11.66937740697445  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0001953125   minimal norm  11.66937740697445\n",
      "Found minimum norm =  11.682215968109022  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0001953125   minimal norm  11.682215968109022\n",
      "Found minimum norm =  11.24347687976901  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0212890625   minimal norm  11.24347687976901\n",
      "Found minimum norm =  11.669339408005213  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0001953125   minimal norm  11.669339408005213\n",
      "Found minimum norm =  11.669838728846791  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0001953125   minimal norm  11.669838728846791\n",
      "Found minimum norm =  11.450591259396546  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.013085937500000002   minimal norm  11.450591259396546\n",
      "Found minimum norm =  11.676455633647713  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0001953125   minimal norm  11.676455633647713\n",
      "Found minimum norm =  11.674238827600808  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0001953125   minimal norm  11.674238827600808\n",
      "Found minimum norm =  11.669219124732251  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  11.669219124732251\n",
      "Found minimum norm =  9.922388558690567  for s =  0.0021484375\n",
      "Found that canonical is better because  9.922388558690567 10.755305390444045\n",
      "Found minimum norm =  9.922388558690567  for s =  0.0021484375\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  14\n",
      "Found minimum norm =  9.922789826580596  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0001953125   minimal norm  9.922789826580596\n",
      "Found minimum norm =  9.92240809678404  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0001953125   minimal norm  9.92240809678404\n",
      "Found minimum norm =  9.922641052933146  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0001953125   minimal norm  9.922641052933146\n",
      "Found minimum norm =  9.922646536603356  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0001953125   minimal norm  9.922646536603356\n",
      "Found minimum norm =  9.92262786555332  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.92262786555332\n",
      "Found minimum norm =  9.922812618850783  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0001953125   minimal norm  9.922812618850783\n",
      "Found minimum norm =  9.92280534116605  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0001953125   minimal norm  9.92280534116605\n",
      "Found minimum norm =  9.889029954179511  for s =  0.0322265625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0322265625   minimal norm  9.889029954179511\n",
      "Found minimum norm =  9.922692337214901  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0001953125   minimal norm  9.922692337214901\n",
      "Found minimum norm =  9.922751167600088  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0001953125   minimal norm  9.922751167600088\n",
      "Found minimum norm =  9.922707019782118  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0001953125   minimal norm  9.922707019782118\n",
      "Found minimum norm =  9.922687027203496  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0001953125   minimal norm  9.922687027203496\n",
      "Found minimum norm =  9.9228225677198  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0001953125   minimal norm  9.9228225677198\n",
      "Found minimum norm =  9.922501184190079  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0001953125   minimal norm  9.922501184190079\n",
      "Found minimum norm =  9.922570140428723  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0001953125   minimal norm  9.922570140428723\n",
      "Found minimum norm =  9.916071484520211  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0154296875   minimal norm  9.916071484520211\n",
      "Found minimum norm =  9.92262823898971  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  9.92262823898971\n",
      "Found minimum norm =  9.922684544048495  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0001953125   minimal norm  9.922684544048495\n",
      "Found minimum norm =  9.922879773336398  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0001953125   minimal norm  9.922879773336398\n",
      "Found minimum norm =  9.922350064302574  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0013671875000000001   minimal norm  9.922350064302574\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  9.92278500395405  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0001953125   minimal norm  9.92278500395405\n",
      "Found minimum norm =  9.922416611858138  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0001953125   minimal norm  9.922416611858138\n",
      "Found minimum norm =  9.922543892991339  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0001953125   minimal norm  9.922543892991339\n",
      "Found minimum norm =  9.92263533101445  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0001953125   minimal norm  9.92263533101445\n",
      "Found minimum norm =  9.922817406275291  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0001953125   minimal norm  9.922817406275291\n",
      "Found minimum norm =  9.922594869300594  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0001953125   minimal norm  9.922594869300594\n",
      "Found minimum norm =  9.922537597843217  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0001953125   minimal norm  9.922537597843217\n",
      "Found minimum norm =  9.922661457972296  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0001953125   minimal norm  9.922661457972296\n",
      "Found minimum norm =  9.922586824902156  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0001953125   minimal norm  9.922586824902156\n",
      "Found minimum norm =  9.922589332991222  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0001953125   minimal norm  9.922589332991222\n",
      "Found minimum norm =  9.922731508719954  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0001953125   minimal norm  9.922731508719954\n",
      "Found minimum norm =  9.908224309661225  for s =  0.0333984375\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0333984375   minimal norm  9.908224309661225\n",
      "Found minimum norm =  9.92265036169822  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0001953125   minimal norm  9.92265036169822\n",
      "Found minimum norm =  9.922886035069975  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0001953125   minimal norm  9.922886035069975\n",
      "Found minimum norm =  9.922670007118892  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0001953125   minimal norm  9.922670007118892\n",
      "Found minimum norm =  9.922753110233721  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0001953125   minimal norm  9.922753110233721\n",
      "Found minimum norm =  9.922889157351042  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.922889157351042\n",
      "Found minimum norm =  9.922516273692814  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0001953125   minimal norm  9.922516273692814\n",
      "Found minimum norm =  9.922510972073919  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0001953125   minimal norm  9.922510972073919\n",
      "Found minimum norm =  9.92280001481005  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0001953125   minimal norm  9.92280001481005\n",
      "Found minimum norm =  9.922714156881057  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0001953125   minimal norm  9.922714156881057\n",
      "Found minimum norm =  9.919869587114492  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.018554687500000003   minimal norm  9.919869587114492\n",
      "Found minimum norm =  9.92270348417902  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0001953125   minimal norm  9.92270348417902\n",
      "Found minimum norm =  9.892458658340097  for s =  0.07441406250000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.07441406250000002   minimal norm  9.892458658340097\n",
      "Found minimum norm =  9.922539110582527  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0001953125   minimal norm  9.922539110582527\n",
      "Found minimum norm =  9.922623581370335  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0001953125   minimal norm  9.922623581370335\n",
      "Found minimum norm =  9.922719504806683  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0001953125   minimal norm  9.922719504806683\n",
      "Found minimum norm =  9.922591609948993  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0001953125   minimal norm  9.922591609948993\n",
      "Found minimum norm =  9.922806840488903  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0001953125   minimal norm  9.922806840488903\n",
      "Found minimum norm =  9.922455378721093  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0001953125   minimal norm  9.922455378721093\n",
      "Found minimum norm =  9.922515500765224  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0001953125   minimal norm  9.922515500765224\n",
      "Found minimum norm =  9.922567800221445  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0001953125   minimal norm  9.922567800221445\n",
      "Found minimum norm =  9.922549842410993  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0001953125   minimal norm  9.922549842410993\n",
      "Found minimum norm =  9.922633802558675  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0001953125   minimal norm  9.922633802558675\n",
      "Found minimum norm =  9.922775132543888  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0001953125   minimal norm  9.922775132543888\n",
      "Found minimum norm =  9.887488275647971  for s =  0.07714843750000001\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.07714843750000001   minimal norm  9.887488275647971\n",
      "Found minimum norm =  9.92257666850127  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0001953125   minimal norm  9.92257666850127\n",
      "Found minimum norm =  9.922600623930476  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0001953125   minimal norm  9.922600623930476\n",
      "Found minimum norm =  9.92271370932591  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0001953125   minimal norm  9.92271370932591\n",
      "Found minimum norm =  9.922448221317877  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0001953125   minimal norm  9.922448221317877\n",
      "Found minimum norm =  9.922742092801602  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0001953125   minimal norm  9.922742092801602\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  9.922458993514287  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0001953125   minimal norm  9.922458993514287\n",
      "Found minimum norm =  9.922498101578139  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0001953125   minimal norm  9.922498101578139\n",
      "Found minimum norm =  9.88102025169774  for s =  0.058007812500000006\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.058007812500000006   minimal norm  9.88102025169774\n",
      "Found minimum norm =  9.922483516154589  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0001953125   minimal norm  9.922483516154589\n",
      "Found minimum norm =  9.92255830132906  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.0001953125   minimal norm  9.92255830132906\n",
      "Found minimum norm =  9.923026192750063  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0001953125   minimal norm  9.923026192750063\n",
      "Found minimum norm =  9.890975904875539  for s =  0.03378906250000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.03378906250000001   minimal norm  9.890975904875539\n",
      "Found minimum norm =  9.922835870656275  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.922835870656275\n",
      "Found minimum norm =  9.922662374219975  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0001953125   minimal norm  9.922662374219975\n",
      "Found minimum norm =  9.92251966252266  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0001953125   minimal norm  9.92251966252266\n",
      "Found minimum norm =  9.920259029866049  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0095703125   minimal norm  9.920259029866049\n",
      "Found minimum norm =  9.922889659538647  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0001953125   minimal norm  9.922889659538647\n",
      "Found minimum norm =  9.922591339509719  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0001953125   minimal norm  9.922591339509719\n",
      "Found minimum norm =  9.922400861421112  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0001953125   minimal norm  9.922400861421112\n",
      "Found minimum norm =  9.922836221907744  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0001953125   minimal norm  9.922836221907744\n",
      "Found minimum norm =  9.922676087109584  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0001953125   minimal norm  9.922676087109584\n",
      "Found minimum norm =  9.92264692267479  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0001953125   minimal norm  9.92264692267479\n",
      "Found minimum norm =  9.922749327673861  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0001953125   minimal norm  9.922749327673861\n",
      "Found minimum norm =  9.815081175771654  for s =  0.08183593750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.08183593750000001   minimal norm  9.815081175771654\n",
      "Found minimum norm =  9.922956228218938  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0001953125   minimal norm  9.922956228218938\n",
      "Found minimum norm =  9.922657732821481  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0001953125   minimal norm  9.922657732821481\n",
      "Found minimum norm =  9.922588710776864  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0001953125   minimal norm  9.922588710776864\n",
      "Found minimum norm =  9.922790548467521  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0001953125   minimal norm  9.922790548467521\n",
      "Found minimum norm =  9.922491210874007  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0001953125   minimal norm  9.922491210874007\n",
      "Found minimum norm =  9.922473699564225  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0001953125   minimal norm  9.922473699564225\n",
      "Found minimum norm =  9.922775611201741  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0001953125   minimal norm  9.922775611201741\n",
      "Found minimum norm =  9.922443812466145  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0001953125   minimal norm  9.922443812466145\n",
      "Found minimum norm =  9.922576176706231  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0001953125   minimal norm  9.922576176706231\n",
      "Found minimum norm =  9.922644150178805  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0001953125   minimal norm  9.922644150178805\n",
      "Found minimum norm =  9.92276842331622  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0001953125   minimal norm  9.92276842331622\n",
      "Found minimum norm =  9.851756836059417  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0998046875   minimal norm  9.851756836059417\n",
      "Found minimum norm =  9.922734517160773  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0001953125   minimal norm  9.922734517160773\n",
      "Found minimum norm =  9.922440980789386  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0001953125   minimal norm  9.922440980789386\n",
      "Found minimum norm =  9.922519641760703  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0001953125   minimal norm  9.922519641760703\n",
      "Found minimum norm =  9.9033361126365  for s =  0.048242187500000006\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.048242187500000006   minimal norm  9.9033361126365\n",
      "Found minimum norm =  9.922804428369151  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0001953125   minimal norm  9.922804428369151\n",
      "Found minimum norm =  9.894750093156135  for s =  0.029882812499999998\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.029882812499999998   minimal norm  9.894750093156135\n",
      "Found minimum norm =  9.922810239215805  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0001953125   minimal norm  9.922810239215805\n",
      "Found minimum norm =  9.919952041973149  for s =  0.011132812500000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.011132812500000002   minimal norm  9.919952041973149\n",
      "Found minimum norm =  9.922444964607442  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.922444964607442\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  9.922784714484772  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0001953125   minimal norm  9.922784714484772\n",
      "Found minimum norm =  9.92274659901344  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0001953125   minimal norm  9.92274659901344\n",
      "Found minimum norm =  9.914605441673169  for s =  0.0291015625\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0291015625   minimal norm  9.914605441673169\n",
      "Found minimum norm =  9.922791794143762  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0001953125   minimal norm  9.922791794143762\n",
      "Found minimum norm =  9.922869320520688  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0001953125   minimal norm  9.922869320520688\n",
      "Found minimum norm =  9.92247715760433  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0001953125   minimal norm  9.92247715760433\n",
      "Found minimum norm =  9.90967705690621  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0998046875   minimal norm  9.90967705690621\n",
      "Found minimum norm =  9.922829620178595  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0001953125   minimal norm  9.922829620178595\n",
      "Found minimum norm =  9.886996430910639  for s =  0.0931640625\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0931640625   minimal norm  9.886996430910639\n",
      "Found minimum norm =  9.92249770188414  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0001953125   minimal norm  9.92249770188414\n",
      "Found minimum norm =  9.800801380640571  for s =  0.11425781250000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.11425781250000001   minimal norm  9.800801380640571\n",
      "Found minimum norm =  9.910176256524858  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0162109375   minimal norm  9.910176256524858\n",
      "Found minimum norm =  9.920203246043993  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0087890625   minimal norm  9.920203246043993\n",
      "Found minimum norm =  9.922956158818453  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0001953125   minimal norm  9.922956158818453\n",
      "Found minimum norm =  9.914692064409664  for s =  0.028710937500000002\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.028710937500000002   minimal norm  9.914692064409664\n",
      "Found minimum norm =  9.922857037798096  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0001953125   minimal norm  9.922857037798096\n",
      "Found minimum norm =  9.92240575330656  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0001953125   minimal norm  9.92240575330656\n",
      "Found minimum norm =  9.921390017232483  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0076171875   minimal norm  9.921390017232483\n",
      "Found minimum norm =  9.778729945893803  for s =  0.1166015625\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.1166015625   minimal norm  9.778729945893803\n",
      "Found minimum norm =  9.922403716525757  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0001953125   minimal norm  9.922403716525757\n",
      "Found minimum norm =  9.813108427620612  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.07480468750000001   minimal norm  9.813108427620612\n",
      "Found minimum norm =  9.922745477530597  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0001953125   minimal norm  9.922745477530597\n",
      "Found minimum norm =  9.792100999032247  for s =  0.1181640625\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.1181640625   minimal norm  9.792100999032247\n",
      "Found minimum norm =  9.919800163626226  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0095703125   minimal norm  9.919800163626226\n",
      "Found minimum norm =  9.894633092980655  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0498046875   minimal norm  9.894633092980655\n",
      "Found minimum norm =  9.922419726556184  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0001953125   minimal norm  9.922419726556184\n",
      "Found minimum norm =  9.922388558690567  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  9.922388558690567\n",
      "Found minimum norm =  9.77223771674941  for s =  0.0060546875\n",
      "Found that canonical is better because  9.77223771674941 9.778729945893803\n",
      "Found minimum norm =  9.77223771674941  for s =  0.0060546875\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  15\n",
      "Found minimum norm =  9.772990454331246  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0001953125   minimal norm  9.772990454331246\n",
      "Found minimum norm =  9.772195918335447  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0009765625   minimal norm  9.772195918335447\n",
      "Found minimum norm =  9.772476496939403  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0001953125   minimal norm  9.772476496939403\n",
      "Found minimum norm =  9.772683530793032  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0001953125   minimal norm  9.772683530793032\n",
      "Found minimum norm =  9.772455865424568  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.772455865424568\n",
      "Found minimum norm =  9.772846331502036  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0001953125   minimal norm  9.772846331502036\n",
      "Found minimum norm =  9.772979831876757  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0001953125   minimal norm  9.772979831876757\n",
      "Found minimum norm =  9.744089979568423  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0283203125   minimal norm  9.744089979568423\n",
      "Found minimum norm =  9.772544102199166  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0001953125   minimal norm  9.772544102199166\n",
      "Found minimum norm =  9.772754147913457  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0001953125   minimal norm  9.772754147913457\n",
      "Found minimum norm =  9.772858178486374  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0001953125   minimal norm  9.772858178486374\n",
      "Found minimum norm =  9.772512948426536  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0001953125   minimal norm  9.772512948426536\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  9.772983141148336  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0001953125   minimal norm  9.772983141148336\n",
      "Found minimum norm =  9.772336132316173  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0001953125   minimal norm  9.772336132316173\n",
      "Found minimum norm =  9.77243622072211  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0001953125   minimal norm  9.77243622072211\n",
      "Found minimum norm =  9.772311113217825  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0001953125   minimal norm  9.772311113217825\n",
      "Found minimum norm =  9.772461272431817  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  9.772461272431817\n",
      "Found minimum norm =  9.77271065734308  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0001953125   minimal norm  9.77271065734308\n",
      "Found minimum norm =  9.773046955043883  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0001953125   minimal norm  9.773046955043883\n",
      "Found minimum norm =  9.771394277452815  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0060546875   minimal norm  9.771394277452815\n",
      "Found minimum norm =  9.772967785767047  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0001953125   minimal norm  9.772967785767047\n",
      "Found minimum norm =  9.772225308694145  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0009765625   minimal norm  9.772225308694145\n",
      "Found minimum norm =  9.772387461469924  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0001953125   minimal norm  9.772387461469924\n",
      "Found minimum norm =  9.77267267232978  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0001953125   minimal norm  9.77267267232978\n",
      "Found minimum norm =  9.772974758346189  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0001953125   minimal norm  9.772974758346189\n",
      "Found minimum norm =  9.772428763953851  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0001953125   minimal norm  9.772428763953851\n",
      "Found minimum norm =  9.772406186540573  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0001953125   minimal norm  9.772406186540573\n",
      "Found minimum norm =  9.7726498430413  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0001953125   minimal norm  9.7726498430413\n",
      "Found minimum norm =  9.772456657746266  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0001953125   minimal norm  9.772456657746266\n",
      "Found minimum norm =  9.77258937781804  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0001953125   minimal norm  9.77258937781804\n",
      "Found minimum norm =  9.772871583595885  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0001953125   minimal norm  9.772871583595885\n",
      "Found minimum norm =  9.769849550577835  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0126953125   minimal norm  9.769849550577835\n",
      "Found minimum norm =  9.77247628185382  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0001953125   minimal norm  9.77247628185382\n",
      "Found minimum norm =  9.772913498757372  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0001953125   minimal norm  9.772913498757372\n",
      "Found minimum norm =  9.772843705968693  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0001953125   minimal norm  9.772843705968693\n",
      "Found minimum norm =  9.772561738702668  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0001953125   minimal norm  9.772561738702668\n",
      "Found minimum norm =  9.773075600782152  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.773075600782152\n",
      "Found minimum norm =  9.772310071539195  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0001953125   minimal norm  9.772310071539195\n",
      "Found minimum norm =  9.772342745387627  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0001953125   minimal norm  9.772342745387627\n",
      "Found minimum norm =  9.772817363669681  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0001953125   minimal norm  9.772817363669681\n",
      "Found minimum norm =  9.772880846883353  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0001953125   minimal norm  9.772880846883353\n",
      "Found minimum norm =  9.768671273467884  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.019726562500000003   minimal norm  9.768671273467884\n",
      "Found minimum norm =  9.772565666732058  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0001953125   minimal norm  9.772565666732058\n",
      "Found minimum norm =  9.772299090191336  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0001953125   minimal norm  9.772299090191336\n",
      "Found minimum norm =  9.772393085842806  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0001953125   minimal norm  9.772393085842806\n",
      "Found minimum norm =  9.772623351579547  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0001953125   minimal norm  9.772623351579547\n",
      "Found minimum norm =  9.772865224792143  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0001953125   minimal norm  9.772865224792143\n",
      "Found minimum norm =  9.77248174856748  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0001953125   minimal norm  9.77248174856748\n",
      "Found minimum norm =  9.77299270830478  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0001953125   minimal norm  9.77299270830478\n",
      "Found minimum norm =  9.772271452361492  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0001953125   minimal norm  9.772271452361492\n",
      "Found minimum norm =  9.772351373961367  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0001953125   minimal norm  9.772351373961367\n",
      "Found minimum norm =  9.772566868639313  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0001953125   minimal norm  9.772566868639313\n",
      "Found minimum norm =  9.772383537666098  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0001953125   minimal norm  9.772383537666098\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  9.772649224792211  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0001953125   minimal norm  9.772649224792211\n",
      "Found minimum norm =  9.772944402887205  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0001953125   minimal norm  9.772944402887205\n",
      "Found minimum norm =  9.749766177471951  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.0498046875   minimal norm  9.749766177471951\n",
      "Found minimum norm =  9.772436954307667  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0001953125   minimal norm  9.772436954307667\n",
      "Found minimum norm =  9.77259723485904  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0001953125   minimal norm  9.77259723485904\n",
      "Found minimum norm =  9.772855599676426  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0001953125   minimal norm  9.772855599676426\n",
      "Found minimum norm =  9.772301670399779  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0001953125   minimal norm  9.772301670399779\n",
      "Found minimum norm =  9.772897866053382  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0001953125   minimal norm  9.772897866053382\n",
      "Found minimum norm =  9.772314404824527  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0001953125   minimal norm  9.772314404824527\n",
      "Found minimum norm =  9.77236928235593  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0001953125   minimal norm  9.77236928235593\n",
      "Found minimum norm =  9.768487773355709  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0119140625   minimal norm  9.768487773355709\n",
      "Found minimum norm =  9.772295965730576  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0001953125   minimal norm  9.772295965730576\n",
      "Found minimum norm =  9.772587020320472  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.0001953125   minimal norm  9.772587020320472\n",
      "Found minimum norm =  9.773179723094659  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0001953125   minimal norm  9.773179723094659\n",
      "Found minimum norm =  9.738096503734312  for s =  0.034570312500000006\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.034570312500000006   minimal norm  9.738096503734312\n",
      "Found minimum norm =  9.772998576056843  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.772998576056843\n",
      "Found minimum norm =  9.77245612891284  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0001953125   minimal norm  9.77245612891284\n",
      "Found minimum norm =  9.772332314660543  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0001953125   minimal norm  9.772332314660543\n",
      "Found minimum norm =  9.772381551361088  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0001953125   minimal norm  9.772381551361088\n",
      "Found minimum norm =  9.773024656518825  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0001953125   minimal norm  9.773024656518825\n",
      "Found minimum norm =  9.772392229916466  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0001953125   minimal norm  9.772392229916466\n",
      "Found minimum norm =  9.772233358480687  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0005859375000000001   minimal norm  9.772233358480687\n",
      "Found minimum norm =  9.772809734327112  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0001953125   minimal norm  9.772809734327112\n",
      "Found minimum norm =  9.772505492944113  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0001953125   minimal norm  9.772505492944113\n",
      "Found minimum norm =  9.772617072114434  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0001953125   minimal norm  9.772617072114434\n",
      "Found minimum norm =  9.772876227581955  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0001953125   minimal norm  9.772876227581955\n",
      "Found minimum norm =  9.696246548845014  for s =  0.0716796875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0716796875   minimal norm  9.696246548845014\n",
      "Found minimum norm =  9.773121706352983  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0001953125   minimal norm  9.773121706352983\n",
      "Found minimum norm =  9.772455153611086  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0001953125   minimal norm  9.772455153611086\n",
      "Found minimum norm =  9.772386412440431  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0001953125   minimal norm  9.772386412440431\n",
      "Found minimum norm =  9.772785058953868  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0001953125   minimal norm  9.772785058953868\n",
      "Found minimum norm =  9.772305465598714  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0001953125   minimal norm  9.772305465598714\n",
      "Found minimum norm =  9.772469535302237  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0001953125   minimal norm  9.772469535302237\n",
      "Found minimum norm =  9.772918638629095  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0001953125   minimal norm  9.772918638629095\n",
      "Found minimum norm =  9.772299895215772  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0001953125   minimal norm  9.772299895215772\n",
      "Found minimum norm =  9.772414752053445  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0001953125   minimal norm  9.772414752053445\n",
      "Found minimum norm =  9.772612102947628  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0001953125   minimal norm  9.772612102947628\n",
      "Found minimum norm =  9.772891325457918  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0001953125   minimal norm  9.772891325457918\n",
      "Found minimum norm =  9.682587897753839  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0998046875   minimal norm  9.682587897753839\n",
      "Found minimum norm =  9.772867792490977  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0001953125   minimal norm  9.772867792490977\n",
      "Found minimum norm =  9.77227173692725  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0001953125   minimal norm  9.77227173692725\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  9.772374648144634  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0001953125   minimal norm  9.772374648144634\n",
      "Found minimum norm =  9.772267078964711  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0001953125   minimal norm  9.772267078964711\n",
      "Found minimum norm =  9.772988606983322  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0001953125   minimal norm  9.772988606983322\n",
      "Found minimum norm =  9.742764130860545  for s =  0.0306640625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0306640625   minimal norm  9.742764130860545\n",
      "Found minimum norm =  9.77260755292776  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0001953125   minimal norm  9.77260755292776\n",
      "Found minimum norm =  9.772362535035384  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0001953125   minimal norm  9.772362535035384\n",
      "Found minimum norm =  9.772237099210873  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.772237099210873\n",
      "Found minimum norm =  9.772786946506745  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0001953125   minimal norm  9.772786946506745\n",
      "Found minimum norm =  9.772893182682227  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0001953125   minimal norm  9.772893182682227\n",
      "Found minimum norm =  9.770953588232866  for s =  0.011132812500000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.011132812500000002   minimal norm  9.770953588232866\n",
      "Found minimum norm =  9.7726054616034  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0001953125   minimal norm  9.7726054616034\n",
      "Found minimum norm =  9.772846966329148  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0001953125   minimal norm  9.772846966329148\n",
      "Found minimum norm =  9.77259433140118  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0001953125   minimal norm  9.77259433140118\n",
      "Found minimum norm =  9.752567828381785  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0998046875   minimal norm  9.752567828381785\n",
      "Found minimum norm =  9.772967874419958  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0001953125   minimal norm  9.772967874419958\n",
      "Found minimum norm =  9.722701644859617  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0998046875   minimal norm  9.722701644859617\n",
      "Found minimum norm =  9.772337783691972  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0001953125   minimal norm  9.772337783691972\n",
      "Found minimum norm =  9.760523022276105  for s =  0.0259765625\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0259765625   minimal norm  9.760523022276105\n",
      "Found minimum norm =  9.763680257968836  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0115234375   minimal norm  9.763680257968836\n",
      "Found minimum norm =  9.772386016792138  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0001953125   minimal norm  9.772386016792138\n",
      "Found minimum norm =  9.773106106810618  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0001953125   minimal norm  9.773106106810618\n",
      "Found minimum norm =  9.771087262852502  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0107421875   minimal norm  9.771087262852502\n",
      "Found minimum norm =  9.773043053142636  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0001953125   minimal norm  9.773043053142636\n",
      "Found minimum norm =  9.77226614566685  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0001953125   minimal norm  9.77226614566685\n",
      "Found minimum norm =  9.771211256854368  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0052734375   minimal norm  9.771211256854368\n",
      "Found minimum norm =  9.755615483503517  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0283203125   minimal norm  9.755615483503517\n",
      "Found minimum norm =  9.77262978091688  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0001953125   minimal norm  9.77262978091688\n",
      "Found minimum norm =  9.69959936368037  for s =  0.06386718749999999\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.06386718749999999   minimal norm  9.69959936368037\n",
      "Found minimum norm =  9.772614675227178  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0001953125   minimal norm  9.772614675227178\n",
      "Found minimum norm =  9.758611180637192  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0283203125   minimal norm  9.758611180637192\n",
      "Found minimum norm =  9.772169426891649  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0013671875000000001   minimal norm  9.772169426891649\n",
      "Found minimum norm =  9.772204715251107  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0013671875000000001   minimal norm  9.772204715251107\n",
      "Found minimum norm =  9.772547989800168  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0001953125   minimal norm  9.772547989800168\n",
      "Found minimum norm =  9.77223771674941  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  9.77223771674941\n",
      "Found minimum norm =  9.650620098716717  for s =  0.0037109375\n",
      "Found that canonical is better because  9.650620098716717 9.682587897753839\n",
      "Found minimum norm =  9.650620098716717  for s =  0.0037109375\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  16\n",
      "Found minimum norm =  9.650932914537805  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0001953125   minimal norm  9.650932914537805\n",
      "Found minimum norm =  9.647919880346713  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0095703125   minimal norm  9.647919880346713\n",
      "Found minimum norm =  9.650657307398811  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0001953125   minimal norm  9.650657307398811\n",
      "Found minimum norm =  9.650905186538342  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0001953125   minimal norm  9.650905186538342\n",
      "Found minimum norm =  9.65062273347008  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.65062273347008\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  9.651031315792409  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0001953125   minimal norm  9.651031315792409\n",
      "Found minimum norm =  9.650980395992654  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0001953125   minimal norm  9.650980395992654\n",
      "Found minimum norm =  9.583669420477179  for s =  0.0607421875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0607421875   minimal norm  9.583669420477179\n",
      "Found minimum norm =  9.650693593039044  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0001953125   minimal norm  9.650693593039044\n",
      "Found minimum norm =  9.6509434407834  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0001953125   minimal norm  9.6509434407834\n",
      "Found minimum norm =  9.650872521249386  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0001953125   minimal norm  9.650872521249386\n",
      "Found minimum norm =  9.650822437249847  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0001953125   minimal norm  9.650822437249847\n",
      "Found minimum norm =  9.650970147242651  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0001953125   minimal norm  9.650970147242651\n",
      "Found minimum norm =  9.65064427716811  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0001953125   minimal norm  9.65064427716811\n",
      "Found minimum norm =  9.650642006230948  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0001953125   minimal norm  9.650642006230948\n",
      "Found minimum norm =  9.650624295561409  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0001953125   minimal norm  9.650624295561409\n",
      "Found minimum norm =  9.650624860681685  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  9.650624860681685\n",
      "Found minimum norm =  9.650893498930046  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0001953125   minimal norm  9.650893498930046\n",
      "Found minimum norm =  9.651054178095427  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0001953125   minimal norm  9.651054178095427\n",
      "Found minimum norm =  9.634535715300993  for s =  0.0486328125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0486328125   minimal norm  9.634535715300993\n",
      "Found minimum norm =  9.650946669201304  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0001953125   minimal norm  9.650946669201304\n",
      "Found minimum norm =  9.575379524130522  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0998046875   minimal norm  9.575379524130522\n",
      "Found minimum norm =  9.65015553553457  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.009960937500000003   minimal norm  9.65015553553457\n",
      "Found minimum norm =  9.650951588235392  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0001953125   minimal norm  9.650951588235392\n",
      "Found minimum norm =  9.650966902667454  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0001953125   minimal norm  9.650966902667454\n",
      "Found minimum norm =  9.65073583408705  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0001953125   minimal norm  9.65073583408705\n",
      "Found minimum norm =  9.642906128374545  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0498046875   minimal norm  9.642906128374545\n",
      "Found minimum norm =  9.650926033700502  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0001953125   minimal norm  9.650926033700502\n",
      "Found minimum norm =  9.650648293699088  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0001953125   minimal norm  9.650648293699088\n",
      "Found minimum norm =  9.650831768882991  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0001953125   minimal norm  9.650831768882991\n",
      "Found minimum norm =  9.65093210028382  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0001953125   minimal norm  9.65093210028382\n",
      "Found minimum norm =  9.642919276724793  for s =  0.044335937500000006\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.044335937500000006   minimal norm  9.642919276724793\n",
      "Found minimum norm =  9.650665092165735  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0001953125   minimal norm  9.650665092165735\n",
      "Found minimum norm =  9.651120468363656  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0001953125   minimal norm  9.651120468363656\n",
      "Found minimum norm =  9.650846160140981  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0001953125   minimal norm  9.650846160140981\n",
      "Found minimum norm =  9.650888388011284  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0001953125   minimal norm  9.650888388011284\n",
      "Found minimum norm =  9.651055111094514  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.651055111094514\n",
      "Found minimum norm =  9.612016863598726  for s =  0.0966796875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0966796875   minimal norm  9.612016863598726\n",
      "Found minimum norm =  9.648354924071022  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.021679687500000003   minimal norm  9.648354924071022\n",
      "Found minimum norm =  9.651109111938014  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0001953125   minimal norm  9.651109111938014\n",
      "Found minimum norm =  9.650872830266946  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0001953125   minimal norm  9.650872830266946\n",
      "Found minimum norm =  9.534202184528164  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0998046875   minimal norm  9.534202184528164\n",
      "Found minimum norm =  9.599069306894538  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0998046875   minimal norm  9.599069306894538\n",
      "Found minimum norm =  9.647005487589217  for s =  0.032617187500000006\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.032617187500000006   minimal norm  9.647005487589217\n",
      "Found minimum norm =  9.644459237000879  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0498046875   minimal norm  9.644459237000879\n",
      "Found minimum norm =  9.650890249499009  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0001953125   minimal norm  9.650890249499009\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  9.65092465783173  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0001953125   minimal norm  9.65092465783173\n",
      "Found minimum norm =  9.650847762712564  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0001953125   minimal norm  9.650847762712564\n",
      "Found minimum norm =  9.650976255009095  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0001953125   minimal norm  9.650976255009095\n",
      "Found minimum norm =  9.650047568050072  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.008398437500000001   minimal norm  9.650047568050072\n",
      "Found minimum norm =  9.648513731614306  for s =  0.0220703125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0220703125   minimal norm  9.648513731614306\n",
      "Found minimum norm =  9.65085214130855  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0001953125   minimal norm  9.65085214130855\n",
      "Found minimum norm =  9.650336373579137  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0080078125   minimal norm  9.650336373579137\n",
      "Found minimum norm =  9.650907105297632  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0001953125   minimal norm  9.650907105297632\n",
      "Found minimum norm =  9.650999619686955  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0001953125   minimal norm  9.650999619686955\n",
      "Found minimum norm =  9.532197701342142  for s =  0.13730468750000002\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.13730468750000002   minimal norm  9.532197701342142\n",
      "Found minimum norm =  9.65064627721462  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0001953125   minimal norm  9.65064627721462\n",
      "Found minimum norm =  9.650862411773232  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0001953125   minimal norm  9.650862411773232\n",
      "Found minimum norm =  9.650920808514343  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0001953125   minimal norm  9.650920808514343\n",
      "Found minimum norm =  9.586696692971692  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.14980468750000003   minimal norm  9.586696692971692\n",
      "Found minimum norm =  9.650936184075272  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0001953125   minimal norm  9.650936184075272\n",
      "Found minimum norm =  9.649236063997042  for s =  0.08925781250000002\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.08925781250000002   minimal norm  9.649236063997042\n",
      "Found minimum norm =  9.65062456877756  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0001953125   minimal norm  9.65062456877756\n",
      "Found minimum norm =  9.644995900467551  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0154296875   minimal norm  9.644995900467551\n",
      "Found minimum norm =  9.647310049239207  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.009960937500000003   minimal norm  9.647310049239207\n",
      "Found minimum norm =  9.650802891394017  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.0001953125   minimal norm  9.650802891394017\n",
      "Found minimum norm =  9.651191497689462  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0001953125   minimal norm  9.651191497689462\n",
      "Found minimum norm =  9.565311850256489  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.07480468750000001   minimal norm  9.565311850256489\n",
      "Found minimum norm =  9.650980470302933  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.650980470302933\n",
      "Found minimum norm =  9.650785533811247  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0001953125   minimal norm  9.650785533811247\n",
      "Found minimum norm =  9.649583971441135  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0087890625   minimal norm  9.649583971441135\n",
      "Found minimum norm =  9.650710509494726  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0001953125   minimal norm  9.650710509494726\n",
      "Found minimum norm =  9.651018488710495  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0001953125   minimal norm  9.651018488710495\n",
      "Found minimum norm =  9.650702946968707  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0001953125   minimal norm  9.650702946968707\n",
      "Found minimum norm =  9.572722215844482  for s =  0.0966796875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0966796875   minimal norm  9.572722215844482\n",
      "Found minimum norm =  9.651109881099703  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0001953125   minimal norm  9.651109881099703\n",
      "Found minimum norm =  9.650717236163704  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0001953125   minimal norm  9.650717236163704\n",
      "Found minimum norm =  9.650879071116346  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0001953125   minimal norm  9.650879071116346\n",
      "Found minimum norm =  9.650942735918338  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0001953125   minimal norm  9.650942735918338\n",
      "Found minimum norm =  9.50309562331397  for s =  0.1279296875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.1279296875   minimal norm  9.50309562331397\n",
      "Found minimum norm =  9.651110660037604  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0001953125   minimal norm  9.651110660037604\n",
      "Found minimum norm =  9.650786929423942  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0001953125   minimal norm  9.650786929423942\n",
      "Found minimum norm =  9.642185300920316  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0498046875   minimal norm  9.642185300920316\n",
      "Found minimum norm =  9.65107964708062  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0001953125   minimal norm  9.65107964708062\n",
      "Found minimum norm =  9.61287858085563  for s =  0.0833984375\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0833984375   minimal norm  9.61287858085563\n",
      "Found minimum norm =  9.650725662041816  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0001953125   minimal norm  9.650725662041816\n",
      "Found minimum norm =  9.65097619097183  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0001953125   minimal norm  9.65097619097183\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  9.566514160072593  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.14980468750000003   minimal norm  9.566514160072593\n",
      "Found minimum norm =  9.65062645784616  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0001953125   minimal norm  9.65062645784616\n",
      "Found minimum norm =  9.650873262236217  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0001953125   minimal norm  9.650873262236217\n",
      "Found minimum norm =  9.650964080163249  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0001953125   minimal norm  9.650964080163249\n",
      "Found minimum norm =  9.33117178983144  for s =  0.1775390625\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.1775390625   minimal norm  9.33117178983144\n",
      "Found minimum norm =  9.65090944544241  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0001953125   minimal norm  9.65090944544241\n",
      "Found minimum norm =  9.454422412567839  for s =  0.1619140625\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.1619140625   minimal norm  9.454422412567839\n",
      "Found minimum norm =  9.650635157597087  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0001953125   minimal norm  9.650635157597087\n",
      "Found minimum norm =  9.650652701630003  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0001953125   minimal norm  9.650652701630003\n",
      "Found minimum norm =  9.650981779592675  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0001953125   minimal norm  9.650981779592675\n",
      "Found minimum norm =  9.577450980759572  for s =  0.0662109375\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0662109375   minimal norm  9.577450980759572\n",
      "Found minimum norm =  9.650865549587012  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0001953125   minimal norm  9.650865549587012\n",
      "Found minimum norm =  9.650704033370571  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0001953125   minimal norm  9.650704033370571\n",
      "Found minimum norm =  9.640637044632916  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.026757812500000002   minimal norm  9.640637044632916\n",
      "Found minimum norm =  9.651070256518208  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0001953125   minimal norm  9.651070256518208\n",
      "Found minimum norm =  9.650947126806045  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0001953125   minimal norm  9.650947126806045\n",
      "Found minimum norm =  9.650068426593757  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0146484375   minimal norm  9.650068426593757\n",
      "Found minimum norm =  9.650832603970139  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0001953125   minimal norm  9.650832603970139\n",
      "Found minimum norm =  9.651135079381728  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0001953125   minimal norm  9.651135079381728\n",
      "Found minimum norm =  9.650656621614784  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0001953125   minimal norm  9.650656621614784\n",
      "Found minimum norm =  9.46698819549721  for s =  0.17871093750000006\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.17871093750000006   minimal norm  9.46698819549721\n",
      "Found minimum norm =  9.651010885870203  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0001953125   minimal norm  9.651010885870203\n",
      "Found minimum norm =  9.39570279489949  for s =  0.16660156250000002\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.16660156250000002   minimal norm  9.39570279489949\n",
      "Found minimum norm =  9.65061367213534  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0021484375   minimal norm  9.65061367213534\n",
      "Found minimum norm =  9.641381849203881  for s =  0.0240234375\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0240234375   minimal norm  9.641381849203881\n",
      "Found minimum norm =  9.607492872066338  for s =  0.0412109375\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0412109375   minimal norm  9.607492872066338\n",
      "Found minimum norm =  9.650707112646906  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0001953125   minimal norm  9.650707112646906\n",
      "Found minimum norm =  9.651167682034892  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0001953125   minimal norm  9.651167682034892\n",
      "Found minimum norm =  9.650300641533342  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0115234375   minimal norm  9.650300641533342\n",
      "Found minimum norm =  9.651088052128214  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0001953125   minimal norm  9.651088052128214\n",
      "Found minimum norm =  9.608598770497416  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0998046875   minimal norm  9.608598770497416\n",
      "Found minimum norm =  9.620978576444504  for s =  0.06386718749999999\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.06386718749999999   minimal norm  9.620978576444504\n",
      "Found minimum norm =  9.634166681238149  for s =  0.029882812499999998\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.029882812499999998   minimal norm  9.634166681238149\n",
      "Found minimum norm =  9.650714080792628  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0001953125   minimal norm  9.650714080792628\n",
      "Found minimum norm =  9.513076881988036  for s =  0.1162109375\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.1162109375   minimal norm  9.513076881988036\n",
      "Found minimum norm =  9.650905439375475  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0001953125   minimal norm  9.650905439375475\n",
      "Found minimum norm =  9.639697330901738  for s =  0.026367187500000003\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.026367187500000003   minimal norm  9.639697330901738\n",
      "Found minimum norm =  9.645894962197008  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.020117187500000005   minimal norm  9.645894962197008\n",
      "Found minimum norm =  9.65057246400629  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0017578125   minimal norm  9.65057246400629\n",
      "Found minimum norm =  9.650673253058018  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0001953125   minimal norm  9.650673253058018\n",
      "Found minimum norm =  9.650620098716717  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  9.650620098716717\n",
      "Found minimum norm =  9.560383709479321  for s =  0.0044921875000000005\n",
      "Found that canonical is worse because  9.560383709479321 9.33117178983144\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  9.33117178983144  for s =  0.1775390625\n",
      "Flowing forwards with type  single_commutator\n",
      "[]\n",
      "Flow step  17\n",
      "Found minimum norm =  9.331923602830443  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0001953125   minimal norm  9.331923602830443\n",
      "Found minimum norm =  9.3266614400765  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0064453125000000005   minimal norm  9.3266614400765\n",
      "Found minimum norm =  9.329859682408744  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0037109375   minimal norm  9.329859682408744\n",
      "Found minimum norm =  9.332105449608008  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0001953125   minimal norm  9.332105449608008\n",
      "Found minimum norm =  9.331273456384404  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.331273456384404\n",
      "Found minimum norm =  9.331924182186611  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0001953125   minimal norm  9.331924182186611\n",
      "Found minimum norm =  9.33185683051402  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0001953125   minimal norm  9.33185683051402\n",
      "Found minimum norm =  9.311243964446932  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0166015625   minimal norm  9.311243964446932\n",
      "Found minimum norm =  9.331172228343096  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0001953125   minimal norm  9.331172228343096\n",
      "Found minimum norm =  9.332115014191283  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0001953125   minimal norm  9.332115014191283\n",
      "Found minimum norm =  9.332071931429756  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0001953125   minimal norm  9.332071931429756\n",
      "Found minimum norm =  9.331391640369507  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0001953125   minimal norm  9.331391640369507\n",
      "Found minimum norm =  9.331786687292933  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0001953125   minimal norm  9.331786687292933\n",
      "Found minimum norm =  9.331094320450887  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0013671875000000001   minimal norm  9.331094320450887\n",
      "Found minimum norm =  9.33112488406914  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0009765625   minimal norm  9.33112488406914\n",
      "Found minimum norm =  9.331170315886563  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0001953125   minimal norm  9.331170315886563\n",
      "Found minimum norm =  9.330921859343093  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0013671875000000001   minimal norm  9.330921859343093\n",
      "Found minimum norm =  9.33210847787833  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0001953125   minimal norm  9.33210847787833\n",
      "Found minimum norm =  9.332022314095795  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0001953125   minimal norm  9.332022314095795\n",
      "Found minimum norm =  9.32297018120719  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.009179687500000002   minimal norm  9.32297018120719\n",
      "Found minimum norm =  9.331864456639689  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0001953125   minimal norm  9.331864456639689\n",
      "Found minimum norm =  9.324823895106  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0107421875   minimal norm  9.324823895106\n",
      "Found minimum norm =  9.33110421657584  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0009765625   minimal norm  9.33110421657584\n",
      "Found minimum norm =  9.331720917274861  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0001953125   minimal norm  9.331720917274861\n",
      "Found minimum norm =  9.332101628744757  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0001953125   minimal norm  9.332101628744757\n",
      "Found minimum norm =  9.33047280499529  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0025390625000000005   minimal norm  9.33047280499529\n",
      "Found minimum norm =  9.330891304777117  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0017578125   minimal norm  9.330891304777117\n",
      "Found minimum norm =  9.332705862332313  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0001953125   minimal norm  9.332705862332313\n",
      "Found minimum norm =  9.330268223224277  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0037109375   minimal norm  9.330268223224277\n",
      "Found minimum norm =  9.331887584484077  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0001953125   minimal norm  9.331887584484077\n",
      "Found minimum norm =  9.331815984915103  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0001953125   minimal norm  9.331815984915103\n",
      "Found minimum norm =  9.270041428548216  for s =  0.031835937499999994\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.031835937499999994   minimal norm  9.270041428548216\n",
      "Found minimum norm =  9.325380398986354  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0087890625   minimal norm  9.325380398986354\n",
      "Found minimum norm =  9.331891595069164  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0001953125   minimal norm  9.331891595069164\n",
      "Found minimum norm =  9.331810408962019  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0001953125   minimal norm  9.331810408962019\n",
      "Found minimum norm =  9.3313066559096  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0001953125   minimal norm  9.3313066559096\n",
      "Found minimum norm =  9.331806090273071  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.331806090273071\n",
      "Found minimum norm =  9.331274606263648  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0001953125   minimal norm  9.331274606263648\n",
      "Found minimum norm =  9.328263382974837  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.009179687500000002   minimal norm  9.328263382974837\n",
      "Found minimum norm =  9.331608427517892  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0001953125   minimal norm  9.331608427517892\n",
      "Found minimum norm =  9.331739927492901  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0001953125   minimal norm  9.331739927492901\n",
      "Found minimum norm =  9.322992846621254  for s =  0.0138671875\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0138671875   minimal norm  9.322992846621254\n",
      "Found minimum norm =  9.329735415238186  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0052734375   minimal norm  9.329735415238186\n",
      "Found minimum norm =  9.331239490869635  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0001953125   minimal norm  9.331239490869635\n",
      "Found minimum norm =  9.330001067660714  for s =  0.0068359375\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0068359375   minimal norm  9.330001067660714\n",
      "Found minimum norm =  9.331466622461672  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0001953125   minimal norm  9.331466622461672\n",
      "Found minimum norm =  9.331606096558694  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0001953125   minimal norm  9.331606096558694\n",
      "Found minimum norm =  9.331444607414438  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0001953125   minimal norm  9.331444607414438\n",
      "Found minimum norm =  9.331980107224984  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0001953125   minimal norm  9.331980107224984\n",
      "Found minimum norm =  9.32810082448311  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0080078125   minimal norm  9.32810082448311\n",
      "Found minimum norm =  9.327324383962484  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.008398437500000001   minimal norm  9.327324383962484\n",
      "Found minimum norm =  9.331775071545337  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0001953125   minimal norm  9.331775071545337\n",
      "Found minimum norm =  9.3223369751518  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0173828125   minimal norm  9.3223369751518\n",
      "Found minimum norm =  9.331470922691876  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0001953125   minimal norm  9.331470922691876\n",
      "Found minimum norm =  9.331702981415233  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0001953125   minimal norm  9.331702981415233\n",
      "Found minimum norm =  9.312772550216708  for s =  0.046289062500000006\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.046289062500000006   minimal norm  9.312772550216708\n",
      "Found minimum norm =  9.329110909734574  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0052734375   minimal norm  9.329110909734574\n",
      "Found minimum norm =  9.331776466852276  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0001953125   minimal norm  9.331776466852276\n",
      "Found minimum norm =  9.331780302486404  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0001953125   minimal norm  9.331780302486404\n",
      "Found minimum norm =  9.328477130215608  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0076171875   minimal norm  9.328477130215608\n",
      "Found minimum norm =  9.331654207880142  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0001953125   minimal norm  9.331654207880142\n",
      "Found minimum norm =  9.330287656603835  for s =  0.010351562500000001\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.010351562500000001   minimal norm  9.330287656603835\n",
      "Found minimum norm =  9.32956550565312  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0080078125   minimal norm  9.32956550565312\n",
      "Found minimum norm =  9.3298359873675  for s =  0.0068359375\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0068359375   minimal norm  9.3298359873675\n",
      "Found minimum norm =  9.325206027113476  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0072265625   minimal norm  9.325206027113476\n",
      "Found minimum norm =  9.332142182800107  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.0001953125   minimal norm  9.332142182800107\n",
      "Found minimum norm =  9.332033527494598  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0001953125   minimal norm  9.332033527494598\n",
      "Found minimum norm =  9.33035614769291  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0029296875   minimal norm  9.33035614769291\n",
      "Found minimum norm =  9.332083208239462  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.332083208239462\n",
      "Found minimum norm =  9.33119996780346  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0001953125   minimal norm  9.33119996780346\n",
      "Found minimum norm =  9.32877820319163  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0060546875   minimal norm  9.32877820319163\n",
      "Found minimum norm =  9.331277521492767  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0001953125   minimal norm  9.331277521492767\n",
      "Found minimum norm =  9.331905797895399  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0001953125   minimal norm  9.331905797895399\n",
      "Found minimum norm =  9.327334300723686  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0064453125000000005   minimal norm  9.327334300723686\n",
      "Found minimum norm =  9.330503621244693  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0029296875   minimal norm  9.330503621244693\n",
      "Found minimum norm =  9.332816114739018  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0001953125   minimal norm  9.332816114739018\n",
      "Found minimum norm =  9.331108915491281  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0009765625   minimal norm  9.331108915491281\n",
      "Found minimum norm =  9.331955761133292  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0001953125   minimal norm  9.331955761133292\n",
      "Found minimum norm =  9.33178706013764  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0001953125   minimal norm  9.33178706013764\n",
      "Found minimum norm =  9.195601530733727  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0498046875   minimal norm  9.195601530733727\n",
      "Found minimum norm =  9.332239187400994  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0001953125   minimal norm  9.332239187400994\n",
      "Found minimum norm =  9.33132535355791  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0001953125   minimal norm  9.33132535355791\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  9.321525172004241  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0107421875   minimal norm  9.321525172004241\n",
      "Found minimum norm =  9.33310447956667  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0001953125   minimal norm  9.33310447956667\n",
      "Found minimum norm =  9.331223055949993  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0001953125   minimal norm  9.331223055949993\n",
      "Found minimum norm =  9.331265037256752  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0001953125   minimal norm  9.331265037256752\n",
      "Found minimum norm =  9.331995565472294  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0001953125   minimal norm  9.331995565472294\n",
      "Found minimum norm =  9.33100288138096  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0017578125   minimal norm  9.33100288138096\n",
      "Found minimum norm =  9.331223783016496  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0001953125   minimal norm  9.331223783016496\n",
      "Found minimum norm =  9.332633530667122  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0001953125   minimal norm  9.332633530667122\n",
      "Found minimum norm =  9.332252785267402  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0001953125   minimal norm  9.332252785267402\n",
      "Found minimum norm =  9.33169529386653  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0001953125   minimal norm  9.33169529386653\n",
      "Found minimum norm =  9.331460768072791  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0001953125   minimal norm  9.331460768072791\n",
      "Found minimum norm =  9.331328514297017  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0001953125   minimal norm  9.331328514297017\n",
      "Found minimum norm =  9.33103789566433  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0017578125   minimal norm  9.33103789566433\n",
      "Found minimum norm =  9.327407439402464  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0072265625   minimal norm  9.327407439402464\n",
      "Found minimum norm =  9.331978524007168  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0001953125   minimal norm  9.331978524007168\n",
      "Found minimum norm =  9.3162133804329  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0158203125   minimal norm  9.3162133804329\n",
      "Found minimum norm =  9.326390544528893  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.008398437500000001   minimal norm  9.326390544528893\n",
      "Found minimum norm =  9.331396560081322  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0001953125   minimal norm  9.331396560081322\n",
      "Found minimum norm =  9.331241474129005  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.331241474129005\n",
      "Found minimum norm =  9.331482172706588  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0001953125   minimal norm  9.331482172706588\n",
      "Found minimum norm =  9.331595029070003  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0001953125   minimal norm  9.331595029070003\n",
      "Found minimum norm =  9.32126821255186  for s =  0.0251953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0251953125   minimal norm  9.32126821255186\n",
      "Found minimum norm =  9.328878298859234  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0060546875   minimal norm  9.328878298859234\n",
      "Found minimum norm =  9.331729982026818  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0001953125   minimal norm  9.331729982026818\n",
      "Found minimum norm =  9.331974468725376  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0001953125   minimal norm  9.331974468725376\n",
      "Found minimum norm =  9.330555002964774  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0041015625   minimal norm  9.330555002964774\n",
      "Found minimum norm =  9.331556802214601  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0001953125   minimal norm  9.331556802214601\n",
      "Found minimum norm =  9.331195556234634  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0001953125   minimal norm  9.331195556234634\n",
      "Found minimum norm =  9.330775102669897  for s =  0.004882812500000001\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.004882812500000001   minimal norm  9.330775102669897\n",
      "Found minimum norm =  9.328027714122763  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0119140625   minimal norm  9.328027714122763\n",
      "Found minimum norm =  9.295043863785628  for s =  0.022460937500000003\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.022460937500000003   minimal norm  9.295043863785628\n",
      "Found minimum norm =  9.330503675147979  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0029296875   minimal norm  9.330503675147979\n",
      "Found minimum norm =  9.331923291498757  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0001953125   minimal norm  9.331923291498757\n",
      "Found minimum norm =  9.248126484179018  for s =  0.0419921875\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0419921875   minimal norm  9.248126484179018\n",
      "Found minimum norm =  9.3317023912967  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0001953125   minimal norm  9.3317023912967\n",
      "Found minimum norm =  9.331231894631243  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0001953125   minimal norm  9.331231894631243\n",
      "Found minimum norm =  9.316354307381712  for s =  0.0275390625\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0275390625   minimal norm  9.316354307381712\n",
      "Found minimum norm =  9.33026772317823  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0060546875   minimal norm  9.33026772317823\n",
      "Found minimum norm =  9.331603050979892  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0001953125   minimal norm  9.331603050979892\n",
      "Found minimum norm =  9.192627303250879  for s =  0.05136718750000001\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.05136718750000001   minimal norm  9.192627303250879\n",
      "Found minimum norm =  9.330687641620562  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0029296875   minimal norm  9.330687641620562\n",
      "Found minimum norm =  9.310383805206223  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0181640625   minimal norm  9.310383805206223\n",
      "Found minimum norm =  9.322573829396356  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0181640625   minimal norm  9.322573829396356\n",
      "Found minimum norm =  9.331209166559702  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0001953125   minimal norm  9.331209166559702\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  9.331309709538855  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0001953125   minimal norm  9.331309709538855\n",
      "Found minimum norm =  9.33117178983144  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  9.33117178983144\n",
      "Found minimum norm =  9.166219566631824  for s =  0.0037109375\n",
      "Found that canonical is better because  9.166219566631824 9.192627303250879\n",
      "Found minimum norm =  9.166219566631824  for s =  0.0037109375\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  18\n",
      "Found minimum norm =  9.166613409873168  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0001953125   minimal norm  9.166613409873168\n",
      "Found minimum norm =  9.15828274459944  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0107421875   minimal norm  9.15828274459944\n",
      "Found minimum norm =  9.161543170100146  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0087890625   minimal norm  9.161543170100146\n",
      "Found minimum norm =  9.166772636160301  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0001953125   minimal norm  9.166772636160301\n",
      "Found minimum norm =  9.166232650472422  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.166232650472422\n",
      "Found minimum norm =  9.166725851323024  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0001953125   minimal norm  9.166725851323024\n",
      "Found minimum norm =  9.166641774454066  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0001953125   minimal norm  9.166641774454066\n",
      "Found minimum norm =  9.135588898860973  for s =  0.0271484375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0271484375   minimal norm  9.135588898860973\n",
      "Found minimum norm =  9.165205321354824  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0041015625   minimal norm  9.165205321354824\n",
      "Found minimum norm =  9.166796828346733  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0001953125   minimal norm  9.166796828346733\n",
      "Found minimum norm =  9.166764380554715  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0001953125   minimal norm  9.166764380554715\n",
      "Found minimum norm =  9.166393221476007  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0001953125   minimal norm  9.166393221476007\n",
      "Found minimum norm =  9.166593576784958  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0001953125   minimal norm  9.166593576784958\n",
      "Found minimum norm =  9.165210563667317  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0064453125000000005   minimal norm  9.165210563667317\n",
      "Found minimum norm =  9.16434636186042  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0076171875   minimal norm  9.16434636186042\n",
      "Found minimum norm =  9.164323678044273  for s =  0.005664062500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.005664062500000001   minimal norm  9.164323678044273\n",
      "Found minimum norm =  9.164119104814135  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0060546875   minimal norm  9.164119104814135\n",
      "Found minimum norm =  9.166784510474077  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0001953125   minimal norm  9.166784510474077\n",
      "Found minimum norm =  9.166703059457621  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0001953125   minimal norm  9.166703059457621\n",
      "Found minimum norm =  9.148905238882724  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0181640625   minimal norm  9.148905238882724\n",
      "Found minimum norm =  9.166655130307392  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0001953125   minimal norm  9.166655130307392\n",
      "Found minimum norm =  9.149015927208058  for s =  0.026367187500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.026367187500000003   minimal norm  9.149015927208058\n",
      "Found minimum norm =  9.164168091428683  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0087890625   minimal norm  9.164168091428683\n",
      "Found minimum norm =  9.166568882838282  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0001953125   minimal norm  9.166568882838282\n",
      "Found minimum norm =  9.166785268291122  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0001953125   minimal norm  9.166785268291122\n",
      "Found minimum norm =  9.164177569843746  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0064453125000000005   minimal norm  9.164177569843746\n",
      "Found minimum norm =  9.163726415144314  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0072265625   minimal norm  9.163726415144314\n",
      "Found minimum norm =  9.167328251801946  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0001953125   minimal norm  9.167328251801946\n",
      "Found minimum norm =  9.160932913078257  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0119140625   minimal norm  9.160932913078257\n",
      "Found minimum norm =  9.166704236968107  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0001953125   minimal norm  9.166704236968107\n",
      "Found minimum norm =  9.166623577279891  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0001953125   minimal norm  9.166623577279891\n",
      "Found minimum norm =  9.080770074283043  for s =  0.0509765625\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0509765625   minimal norm  9.080770074283043\n",
      "Found minimum norm =  9.16144318149575  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0107421875   minimal norm  9.16144318149575\n",
      "Found minimum norm =  9.166756541686002  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0001953125   minimal norm  9.166756541686002\n",
      "Found minimum norm =  9.166586962128223  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0001953125   minimal norm  9.166586962128223\n",
      "Found minimum norm =  9.166402729290581  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0001953125   minimal norm  9.166402729290581\n",
      "Found minimum norm =  9.166677153598165  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.166677153598165\n",
      "Found minimum norm =  9.166345036428977  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0001953125   minimal norm  9.166345036428977\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  9.165477317470346  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0076171875   minimal norm  9.165477317470346\n",
      "Found minimum norm =  9.166613532034587  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0001953125   minimal norm  9.166613532034587\n",
      "Found minimum norm =  9.166525343748448  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0001953125   minimal norm  9.166525343748448\n",
      "Found minimum norm =  9.152966301434088  for s =  0.025585937500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.025585937500000003   minimal norm  9.152966301434088\n",
      "Found minimum norm =  9.165787814646036  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0044921875000000005   minimal norm  9.165787814646036\n",
      "Found minimum norm =  9.165650520872692  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0037109375   minimal norm  9.165650520872692\n",
      "Found minimum norm =  9.166220836902847  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0001953125   minimal norm  9.166220836902847\n",
      "Found minimum norm =  9.16648140249777  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0001953125   minimal norm  9.16648140249777\n",
      "Found minimum norm =  9.166514243875445  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0001953125   minimal norm  9.166514243875445\n",
      "Found minimum norm =  9.166515374003353  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0001953125   minimal norm  9.166515374003353\n",
      "Found minimum norm =  9.1667379316102  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0001953125   minimal norm  9.1667379316102\n",
      "Found minimum norm =  9.162977953272721  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0119140625   minimal norm  9.162977953272721\n",
      "Found minimum norm =  9.163552091092857  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0115234375   minimal norm  9.163552091092857\n",
      "Found minimum norm =  9.166654300840614  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0001953125   minimal norm  9.166654300840614\n",
      "Found minimum norm =  9.15487358309894  for s =  0.03574218750000001\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.03574218750000001   minimal norm  9.15487358309894\n",
      "Found minimum norm =  9.166475848725357  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0001953125   minimal norm  9.166475848725357\n",
      "Found minimum norm =  9.166600787517735  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0001953125   minimal norm  9.166600787517735\n",
      "Found minimum norm =  9.125147426301785  for s =  0.09238281250000001\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.09238281250000001   minimal norm  9.125147426301785\n",
      "Found minimum norm =  9.165220005999899  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0052734375   minimal norm  9.165220005999899\n",
      "Found minimum norm =  9.166658538207924  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0001953125   minimal norm  9.166658538207924\n",
      "Found minimum norm =  9.166571632450616  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0001953125   minimal norm  9.166571632450616\n",
      "Found minimum norm =  9.162547389036364  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.012304687500000001   minimal norm  9.162547389036364\n",
      "Found minimum norm =  9.166559658076476  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0001953125   minimal norm  9.166559658076476\n",
      "Found minimum norm =  9.164047863373463  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.026757812500000002   minimal norm  9.164047863373463\n",
      "Found minimum norm =  9.166001054676725  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0052734375   minimal norm  9.166001054676725\n",
      "Found minimum norm =  9.165391149392375  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0052734375   minimal norm  9.165391149392375\n",
      "Found minimum norm =  9.152146504865813  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0146484375   minimal norm  9.152146504865813\n",
      "Found minimum norm =  9.166822876342492  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.0001953125   minimal norm  9.166822876342492\n",
      "Found minimum norm =  9.166730686479927  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0001953125   minimal norm  9.166730686479927\n",
      "Found minimum norm =  9.164110122320267  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0060546875   minimal norm  9.164110122320267\n",
      "Found minimum norm =  9.166877979410208  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.166877979410208\n",
      "Found minimum norm =  9.166225030632884  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0001953125   minimal norm  9.166225030632884\n",
      "Found minimum norm =  9.157266455571675  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0162109375   minimal norm  9.157266455571675\n",
      "Found minimum norm =  9.165784507477834  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0025390625000000005   minimal norm  9.165784507477834\n",
      "Found minimum norm =  9.16660560955561  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0001953125   minimal norm  9.16660560955561\n",
      "Found minimum norm =  9.156211041128685  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0146484375   minimal norm  9.156211041128685\n",
      "Found minimum norm =  9.162561542614744  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0095703125   minimal norm  9.162561542614744\n",
      "Found minimum norm =  9.167427682818095  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0001953125   minimal norm  9.167427682818095\n",
      "Found minimum norm =  9.1637707383708  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0095703125   minimal norm  9.1637707383708\n",
      "Found minimum norm =  9.166787103250506  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0001953125   minimal norm  9.166787103250506\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  9.166603189846988  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0001953125   minimal norm  9.166603189846988\n",
      "Found minimum norm =  8.956836891782142  for s =  0.08222656250000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.08222656250000002   minimal norm  8.956836891782142\n",
      "Found minimum norm =  9.166918046922085  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0001953125   minimal norm  9.166918046922085\n",
      "Found minimum norm =  9.166345259661377  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0001953125   minimal norm  9.166345259661377\n",
      "Found minimum norm =  9.139736394044082  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.024804687500000002   minimal norm  9.139736394044082\n",
      "Found minimum norm =  9.1677108298171  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0001953125   minimal norm  9.1677108298171\n",
      "Found minimum norm =  9.166116429365236  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0017578125   minimal norm  9.166116429365236\n",
      "Found minimum norm =  9.164442431418793  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0060546875   minimal norm  9.164442431418793\n",
      "Found minimum norm =  9.166814491401663  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0001953125   minimal norm  9.166814491401663\n",
      "Found minimum norm =  9.16615206290496  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0017578125   minimal norm  9.16615206290496\n",
      "Found minimum norm =  9.166116652069944  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0013671875000000001   minimal norm  9.166116652069944\n",
      "Found minimum norm =  9.167267038093701  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0001953125   minimal norm  9.167267038093701\n",
      "Found minimum norm =  9.1669337887762  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0001953125   minimal norm  9.1669337887762\n",
      "Found minimum norm =  9.16662828976063  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0001953125   minimal norm  9.16662828976063\n",
      "Found minimum norm =  9.166297821704038  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0001953125   minimal norm  9.166297821704038\n",
      "Found minimum norm =  9.166335314830334  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0001953125   minimal norm  9.166335314830334\n",
      "Found minimum norm =  9.163294193133888  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0107421875   minimal norm  9.163294193133888\n",
      "Found minimum norm =  9.156362907139313  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0138671875   minimal norm  9.156362907139313\n",
      "Found minimum norm =  9.166743273844737  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0001953125   minimal norm  9.166743273844737\n",
      "Found minimum norm =  9.151167370895404  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.020507812500000003   minimal norm  9.151167370895404\n",
      "Found minimum norm =  9.16270928321332  for s =  0.010351562500000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.010351562500000001   minimal norm  9.16270928321332\n",
      "Found minimum norm =  9.166333870535318  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0001953125   minimal norm  9.166333870535318\n",
      "Found minimum norm =  9.16637777693917  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.16637777693917\n",
      "Found minimum norm =  9.1664983773818  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0001953125   minimal norm  9.1664983773818\n",
      "Found minimum norm =  9.166491807890022  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0001953125   minimal norm  9.166491807890022\n",
      "Found minimum norm =  9.161259871079514  for s =  0.022460937500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.022460937500000003   minimal norm  9.161259871079514\n",
      "Found minimum norm =  9.164830973502829  for s =  0.0068359375\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0068359375   minimal norm  9.164830973502829\n",
      "Found minimum norm =  9.16664754668274  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0001953125   minimal norm  9.16664754668274\n",
      "Found minimum norm =  9.166769682280043  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0001953125   minimal norm  9.166769682280043\n",
      "Found minimum norm =  9.16620314924964  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0009765625   minimal norm  9.16620314924964\n",
      "Found minimum norm =  9.166465101513406  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0001953125   minimal norm  9.166465101513406\n",
      "Found minimum norm =  9.15872562584278  for s =  0.08964843750000001\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.08964843750000001   minimal norm  9.15872562584278\n",
      "Found minimum norm =  9.166257224320884  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0001953125   minimal norm  9.166257224320884\n",
      "Found minimum norm =  9.165221874686894  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0064453125000000005   minimal norm  9.165221874686894\n",
      "Found minimum norm =  9.125705753270084  for s =  0.032617187500000006\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.032617187500000006   minimal norm  9.125705753270084\n",
      "Found minimum norm =  9.163351115160795  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0076171875   minimal norm  9.163351115160795\n",
      "Found minimum norm =  9.166735409788567  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0001953125   minimal norm  9.166735409788567\n",
      "Found minimum norm =  9.07499590309867  for s =  0.059179687499999994\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.059179687499999994   minimal norm  9.07499590309867\n",
      "Found minimum norm =  9.166601173151879  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0001953125   minimal norm  9.166601173151879\n",
      "Found minimum norm =  9.166318757677471  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0001953125   minimal norm  9.166318757677471\n",
      "Found minimum norm =  9.134845460488593  for s =  0.07714843750000001\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.07714843750000001   minimal norm  9.134845460488593\n",
      "Found minimum norm =  9.16602378256295  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0029296875   minimal norm  9.16602378256295\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  9.16645134548558  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0001953125   minimal norm  9.16645134548558\n",
      "Found minimum norm =  9.002591577372879  for s =  0.07089843750000001\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.07089843750000001   minimal norm  9.002591577372879\n",
      "Found minimum norm =  9.16628235374767  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0001953125   minimal norm  9.16628235374767\n",
      "Found minimum norm =  9.137566131200595  for s =  0.0244140625\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0244140625   minimal norm  9.137566131200595\n",
      "Found minimum norm =  9.16170653049472  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0212890625   minimal norm  9.16170653049472\n",
      "Found minimum norm =  9.166305014192595  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0001953125   minimal norm  9.166305014192595\n",
      "Found minimum norm =  9.166251354116392  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0001953125   minimal norm  9.166251354116392\n",
      "Found minimum norm =  9.166219566631824  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  9.166219566631824\n",
      "Found minimum norm =  9.040389743884893  for s =  0.0041015625\n",
      "Found that canonical is worse because  9.040389743884893 8.956836891782142\n",
      "Found minimum norm =  8.956836891782142  for s =  0.08222656250000002\n",
      "Flowing forwards with type  single_commutator\n",
      "[]\n",
      "Flow step  19\n",
      "Found minimum norm =  8.95800271804888  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0001953125   minimal norm  8.95800271804888\n",
      "Found minimum norm =  8.916847031986554  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0162109375   minimal norm  8.916847031986554\n",
      "Found minimum norm =  8.927202269209298  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0146484375   minimal norm  8.927202269209298\n",
      "Found minimum norm =  8.958175092459532  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0001953125   minimal norm  8.958175092459532\n",
      "Found minimum norm =  8.934774027710608  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0134765625   minimal norm  8.934774027710608\n",
      "Found minimum norm =  8.958113590132958  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0001953125   minimal norm  8.958113590132958\n",
      "Found minimum norm =  8.958037014792499  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0001953125   minimal norm  8.958037014792499\n",
      "Found minimum norm =  8.903030808667863  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.020898437500000002   minimal norm  8.903030808667863\n",
      "Found minimum norm =  8.934348145777498  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0126953125   minimal norm  8.934348145777498\n",
      "Found minimum norm =  8.95830889466651  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0001953125   minimal norm  8.95830889466651\n",
      "Found minimum norm =  8.958155715900023  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0001953125   minimal norm  8.958155715900023\n",
      "Found minimum norm =  8.930066710130806  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0138671875   minimal norm  8.930066710130806\n",
      "Found minimum norm =  8.958020402609026  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0001953125   minimal norm  8.958020402609026\n",
      "Found minimum norm =  8.91830250190189  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.018554687500000003   minimal norm  8.91830250190189\n",
      "Found minimum norm =  8.927502297656517  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0162109375   minimal norm  8.927502297656517\n",
      "Found minimum norm =  8.957912310212933  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0001953125   minimal norm  8.957912310212933\n",
      "Found minimum norm =  8.93075218631382  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0138671875   minimal norm  8.93075218631382\n",
      "Found minimum norm =  8.958124436453748  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0001953125   minimal norm  8.958124436453748\n",
      "Found minimum norm =  8.958126708829202  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0001953125   minimal norm  8.958126708829202\n",
      "Found minimum norm =  8.879103357021286  for s =  0.0236328125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0236328125   minimal norm  8.879103357021286\n",
      "Found minimum norm =  8.958035683077263  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0001953125   minimal norm  8.958035683077263\n",
      "Found minimum norm =  8.922311274597709  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0181640625   minimal norm  8.922311274597709\n",
      "Found minimum norm =  8.924864721228246  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0173828125   minimal norm  8.924864721228246\n",
      "Found minimum norm =  8.958278968636675  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0001953125   minimal norm  8.958278968636675\n",
      "Found minimum norm =  8.95815167256829  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0001953125   minimal norm  8.95815167256829\n",
      "Found minimum norm =  8.927137019607816  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0146484375   minimal norm  8.927137019607816\n",
      "Found minimum norm =  8.92824336461719  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.015039062499999999   minimal norm  8.92824336461719\n",
      "Found minimum norm =  8.958503996940921  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0001953125   minimal norm  8.958503996940921\n",
      "Found minimum norm =  8.925591991411979  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0166015625   minimal norm  8.925591991411979\n",
      "Found minimum norm =  8.958135024016341  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0001953125   minimal norm  8.958135024016341\n",
      "Found minimum norm =  8.95802757228206  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0001953125   minimal norm  8.95802757228206\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  8.916376461924163  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.018945312500000002   minimal norm  8.916376461924163\n",
      "Found minimum norm =  8.9508320291036  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0107421875   minimal norm  8.9508320291036\n",
      "Found minimum norm =  8.95749328750272  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0001953125   minimal norm  8.95749328750272\n",
      "Found minimum norm =  8.957288687497853  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0001953125   minimal norm  8.957288687497853\n",
      "Found minimum norm =  8.957048992956281  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0001953125   minimal norm  8.957048992956281\n",
      "Found minimum norm =  8.957373520764557  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0001953125   minimal norm  8.957373520764557\n",
      "Found minimum norm =  8.956912804464304  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0001953125   minimal norm  8.956912804464304\n",
      "Found minimum norm =  8.953385871787953  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.012304687500000001   minimal norm  8.953385871787953\n",
      "Found minimum norm =  8.957319498930667  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0001953125   minimal norm  8.957319498930667\n",
      "Found minimum norm =  8.957214948982253  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0001953125   minimal norm  8.957214948982253\n",
      "Found minimum norm =  8.930529249888899  for s =  0.0306640625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0306640625   minimal norm  8.930529249888899\n",
      "Found minimum norm =  8.954778738935953  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0080078125   minimal norm  8.954778738935953\n",
      "Found minimum norm =  8.956163012490316  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0037109375   minimal norm  8.956163012490316\n",
      "Found minimum norm =  8.955519132203634  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.008398437500000001   minimal norm  8.955519132203634\n",
      "Found minimum norm =  8.957196335367753  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0001953125   minimal norm  8.957196335367753\n",
      "Found minimum norm =  8.957222134813584  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0001953125   minimal norm  8.957222134813584\n",
      "Found minimum norm =  8.957182885023137  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0001953125   minimal norm  8.957182885023137\n",
      "Found minimum norm =  8.957442378997888  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0001953125   minimal norm  8.957442378997888\n",
      "Found minimum norm =  8.955032886753163  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0072265625   minimal norm  8.955032886753163\n",
      "Found minimum norm =  8.953371826374408  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.009960937500000003   minimal norm  8.953371826374408\n",
      "Found minimum norm =  8.957342809952635  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0001953125   minimal norm  8.957342809952635\n",
      "Found minimum norm =  8.941935076836707  for s =  0.026367187500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.026367187500000003   minimal norm  8.941935076836707\n",
      "Found minimum norm =  8.957052321142145  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0001953125   minimal norm  8.957052321142145\n",
      "Found minimum norm =  8.957298296822193  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0001953125   minimal norm  8.957298296822193\n",
      "Found minimum norm =  8.879613721610601  for s =  0.08457031250000001\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.08457031250000001   minimal norm  8.879613721610601\n",
      "Found minimum norm =  8.954151104911565  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0076171875   minimal norm  8.954151104911565\n",
      "Found minimum norm =  8.957286678902527  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0001953125   minimal norm  8.957286678902527\n",
      "Found minimum norm =  8.957226201311586  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0001953125   minimal norm  8.957226201311586\n",
      "Found minimum norm =  8.952684840895152  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.012304687500000001   minimal norm  8.952684840895152\n",
      "Found minimum norm =  8.957267117244177  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0001953125   minimal norm  8.957267117244177\n",
      "Found minimum norm =  8.954817589038866  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0181640625   minimal norm  8.954817589038866\n",
      "Found minimum norm =  8.954173442563986  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.013085937500000002   minimal norm  8.954173442563986\n",
      "Found minimum norm =  8.954768810564666  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0080078125   minimal norm  8.954768810564666\n",
      "Found minimum norm =  8.912679875591378  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.017773437500000003   minimal norm  8.912679875591378\n",
      "Found minimum norm =  8.958248977954275  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.0001953125   minimal norm  8.958248977954275\n",
      "Found minimum norm =  8.958194206356824  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0001953125   minimal norm  8.958194206356824\n",
      "Found minimum norm =  8.918035316452427  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0166015625   minimal norm  8.918035316452427\n",
      "Found minimum norm =  8.958226712596487  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0001953125   minimal norm  8.958226712596487\n",
      "Found minimum norm =  8.934271141670068  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.014257812500000001   minimal norm  8.934271141670068\n",
      "Found minimum norm =  8.913388966284426  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.019726562500000003   minimal norm  8.913388966284426\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  8.95776633470803  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0001953125   minimal norm  8.95776633470803\n",
      "Found minimum norm =  8.95801433090279  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0001953125   minimal norm  8.95801433090279\n",
      "Found minimum norm =  8.920778410456162  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0162109375   minimal norm  8.920778410456162\n",
      "Found minimum norm =  8.922769693050691  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0166015625   minimal norm  8.922769693050691\n",
      "Found minimum norm =  8.958524881990678  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0001953125   minimal norm  8.958524881990678\n",
      "Found minimum norm =  8.927113864028946  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0166015625   minimal norm  8.927113864028946\n",
      "Found minimum norm =  8.958192178963142  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0001953125   minimal norm  8.958192178963142\n",
      "Found minimum norm =  8.958022130977419  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0001953125   minimal norm  8.958022130977419\n",
      "Found minimum norm =  8.923864305611861  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.016992187500000002   minimal norm  8.923864305611861\n",
      "Found minimum norm =  8.958278948482796  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0001953125   minimal norm  8.958278948482796\n",
      "Found minimum norm =  8.940611882556288  for s =  0.011132812500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.011132812500000002   minimal norm  8.940611882556288\n",
      "Found minimum norm =  8.902519367667004  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.020898437500000002   minimal norm  8.902519367667004\n",
      "Found minimum norm =  8.959000253033249  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0001953125   minimal norm  8.959000253033249\n",
      "Found minimum norm =  8.936114489477871  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0138671875   minimal norm  8.936114489477871\n",
      "Found minimum norm =  8.957623970245939  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0001953125   minimal norm  8.957623970245939\n",
      "Found minimum norm =  8.958195324102704  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0001953125   minimal norm  8.958195324102704\n",
      "Found minimum norm =  8.949085158496674  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.008398437500000001   minimal norm  8.949085158496674\n",
      "Found minimum norm =  8.936987035647684  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.012304687500000001   minimal norm  8.936987035647684\n",
      "Found minimum norm =  8.958736377092848  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0001953125   minimal norm  8.958736377092848\n",
      "Found minimum norm =  8.95834911154979  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0001953125   minimal norm  8.95834911154979\n",
      "Found minimum norm =  8.937717713117314  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0119140625   minimal norm  8.937717713117314\n",
      "Found minimum norm =  8.957694660184787  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0001953125   minimal norm  8.957694660184787\n",
      "Found minimum norm =  8.936044080628093  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0138671875   minimal norm  8.936044080628093\n",
      "Found minimum norm =  8.923915193299417  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.017773437500000003   minimal norm  8.923915193299417\n",
      "Found minimum norm =  8.957861651826432  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0001953125   minimal norm  8.957861651826432\n",
      "Found minimum norm =  8.957495526901516  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0001953125   minimal norm  8.957495526901516\n",
      "Found minimum norm =  8.942439973195746  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.018945312500000002   minimal norm  8.942439973195746\n",
      "Found minimum norm =  8.949093452067546  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0138671875   minimal norm  8.949093452067546\n",
      "Found minimum norm =  8.95693665992021  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0001953125   minimal norm  8.95693665992021\n",
      "Found minimum norm =  8.95692502611663  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0001953125   minimal norm  8.95692502611663\n",
      "Found minimum norm =  8.95717794815564  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0001953125   minimal norm  8.95717794815564\n",
      "Found minimum norm =  8.957184279880995  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0001953125   minimal norm  8.957184279880995\n",
      "Found minimum norm =  8.955043866850898  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0115234375   minimal norm  8.955043866850898\n",
      "Found minimum norm =  8.947549950116251  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.015039062499999999   minimal norm  8.947549950116251\n",
      "Found minimum norm =  8.957146645673895  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0001953125   minimal norm  8.957146645673895\n",
      "Found minimum norm =  8.95750728912437  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0001953125   minimal norm  8.95750728912437\n",
      "Found minimum norm =  8.952908112886785  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.013085937500000002   minimal norm  8.952908112886785\n",
      "Found minimum norm =  8.957220836802177  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0001953125   minimal norm  8.957220836802177\n",
      "Found minimum norm =  8.956915296174538  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0001953125   minimal norm  8.956915296174538\n",
      "Found minimum norm =  8.955751392025828  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0119140625   minimal norm  8.955751392025828\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found minimum norm =  8.956995788439672  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0001953125   minimal norm  8.956995788439672\n",
      "Found minimum norm =  8.919467908396197  for s =  0.0275390625\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0275390625   minimal norm  8.919467908396197\n",
      "Found minimum norm =  8.956815573331927  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0005859375000000001   minimal norm  8.956815573331927\n",
      "Found minimum norm =  8.957419543140265  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0001953125   minimal norm  8.957419543140265\n",
      "Found minimum norm =  8.896978819717855  for s =  0.04550781250000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.04550781250000001   minimal norm  8.896978819717855\n",
      "Found minimum norm =  8.95723580788907  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0001953125   minimal norm  8.95723580788907\n",
      "Found minimum norm =  8.954796492143299  for s =  0.03886718750000001\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.03886718750000001   minimal norm  8.954796492143299\n",
      "Found minimum norm =  8.94184533850837  for s =  0.0353515625\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0353515625   minimal norm  8.94184533850837\n",
      "Found minimum norm =  8.952501384473779  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.012304687500000001   minimal norm  8.952501384473779\n",
      "Found minimum norm =  8.957148636666869  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0001953125   minimal norm  8.957148636666869\n",
      "Found minimum norm =  8.787836162185915  for s =  0.0693359375\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0693359375   minimal norm  8.787836162185915\n",
      "Found minimum norm =  8.956843875763251  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0001953125   minimal norm  8.956843875763251\n",
      "Found minimum norm =  8.927483678300451  for s =  0.0244140625\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0244140625   minimal norm  8.927483678300451\n",
      "Found minimum norm =  8.947435003539725  for s =  0.0232421875\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0232421875   minimal norm  8.947435003539725\n",
      "Found minimum norm =  8.956941935939422  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0001953125   minimal norm  8.956941935939422\n",
      "Found minimum norm =  8.956910983597691  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0001953125   minimal norm  8.956910983597691\n",
      "Found minimum norm =  8.956836891782142  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  8.956836891782142\n",
      "Found minimum norm =  8.815821278661526  for s =  0.0029296875\n",
      "Found that canonical is worse because  8.815821278661526 8.787836162185915\n",
      "Found minimum norm =  8.787836162185915  for s =  0.0693359375\n",
      "Flowing forwards with type  single_commutator\n",
      "[]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from class_double_bracket_flow import *\n",
    "\n",
    "\n",
    "flow = double_bracket_flow( H_TLFIM )\n",
    "\n",
    "flow.please_be_exhaustively_verbose = False\n",
    "flow.please_be_verbose = True\n",
    "\n",
    "flow.nmb_search_points_minimizing_s_search = 10\n",
    "flow.flow_step_max = 0.2\n",
    "flow.nmb_flow_steps = 20\n",
    "flow.please_use_binary_search =  True\n",
    "flow.please_compute_observables = False\n",
    "\n",
    "#flow.flow_forwards( )\n",
    "flow.flow_via_best_Z_search( please_also_check_canonical_bracket = True )\n",
    "\n",
    "flow.show_flow_forwards_results()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib/python3/dist-packages/ipykernel_launcher.py:62: UserWarning: FixedFormatter should only be used together with FixedLocator\n",
      "/usr/lib/python3/dist-packages/ipykernel_launcher.py:103: UserWarning: FixedFormatter should only be used together with FixedLocator\n",
      "/usr/lib/python3/dist-packages/ipykernel_launcher.py:107: UserWarning: FixedFormatter should only be used together with FixedLocator\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x504 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits.axes_grid1 import make_axes_locatable\n",
    "\n",
    "def plot_iteration_results(  ):\n",
    "    flow.run_param_rc(fontsize=18)\n",
    "    flow_results = flow.flow_outputs\n",
    "\n",
    "    f=plt.figure(figsize = ( 8,7 ))\n",
    "    n=1\n",
    "    ax_a = f.add_subplot(1,n,1)\n",
    "    norms = flow_results['minimal_norm_sigma_H_s']\n",
    "    x_axis = [sum(flow_results['minimizing_flow_step'][:k])for k in range( 1, len(flow_results['minimizing_flow_step'])+1)]\n",
    "\n",
    "    plt.plot( x_axis, norms, '-o')   \n",
    "    if 1: \n",
    "        k=12\n",
    "        plt.annotate('k = ' + str(k) + ': ' + flow_results['strs_of_minimizer_Z'][k-1], \n",
    "                     xy=(x_axis[k],norms[k]+.5), textcoords='data', fontsize=17)\n",
    "        k=17\n",
    "        plt.annotate('k = ' + str(k) + ': ' + flow_results['strs_of_minimizer_Z'][k-1], \n",
    "                     xy=(x_axis[k]-.13,norms[k]+1.2), textcoords='data', fontsize=17)\n",
    "        k=20\n",
    "        plt.annotate('k = ' + str(k) + ': ' + flow_results['strs_of_minimizer_Z'][k-1], \n",
    "                     xy=(x_axis[k]-.148,norms[k]+.55), textcoords='data', fontsize=17)\n",
    "        k=19\n",
    "        plt.annotate('k = ' + str(k) + ': ' + flow_results['strs_of_minimizer_Z'][k-1], \n",
    "                     xy=(x_axis[k]-.14,norms[k]-1.5), textcoords='data', fontsize=17)\n",
    "    else:\n",
    "        k=12\n",
    "        plt.annotate('str(k)', xy=(x_axis[k],norms[k]), textcoords='data', fontsize=17)\n",
    "        k=17\n",
    "        plt.annotate('str(k)', xy=(x_axis[k],norms[k]), textcoords='data', fontsize=17)\n",
    "        k=19\n",
    "        plt.annotate('str(k)', xy=(x_axis[k],norms[k]), textcoords='data', fontsize=17)\n",
    "        k=20\n",
    "        plt.annotate('str(k)', xy=(x_axis[k],norms[k]), textcoords='data', fontsize=17)\n",
    "\n",
    "    plt.annotate('b)', xy = (-.1,1.02),\n",
    "                 xycoords='axes fraction')\n",
    "    x_labels_rounded = [ round(x, 2 ) for x in x_axis ]\n",
    "    chosen_label_idx = [0,1,4,13,17,-1]\n",
    "    x_labels_rounded = [x_labels_rounded[idx] for idx in chosen_label_idx]\n",
    "#     x_labels_rounded.pop(4)\n",
    "    \n",
    "    plt.xticks(x_labels_rounded)\n",
    "    y_labels_rounded = [ round(y, 1 ) for y in norms ]\n",
    "    y_labels_rounded = y_labels_rounded[0:5] + [min(y_labels_rounded)]\n",
    "    plt.yticks(y_labels_rounded)\n",
    "    plt.grid()\n",
    "    plt.xlabel(r'Total flow duration $\\ell$')\n",
    "    plt.title(r'Norm off-diagonal $\\vert\\vert\\sigma(\\hat H_k)\\vert\\vert$')\n",
    "    a =-.1\n",
    "    b = 1.05\n",
    " \n",
    "    axin1 = ax_a.inset_axes([0.2,.7, 0.31, 0.27])\n",
    "    inset1 = axin1.imshow( H_TLFIM, cmap='RdBu' )\n",
    "    divider1 = make_axes_locatable(axin1)\n",
    "    div_ax = divider1.append_axes(\"right\", size=\"10%\", pad=0.05)\n",
    "    cbar1 = plt.colorbar(inset1, cax = div_ax )\n",
    "    range_plot = np.max( np.abs( H_TLFIM ) )\n",
    "#     cbar1.set_clim( -range_plot, range_plot )\n",
    "    axin1.set_yticks(range(2**L))  \n",
    "    axin1.set_xticklabels([1]+['']*(2**L-2)+[2**L])\n",
    "    axin1.set_yticklabels([1]+['']*(2**L-2)+[2**L])\n",
    "    axin1.set_xticks(range(2**L))\n",
    "    ax_a.annotate(' ',\n",
    "            xy=(x_axis[0]+.01, norms[0]),  # theta, radius\n",
    "            xytext=(0.24, 0.81),    # fraction, fraction\n",
    "            textcoords='figure fraction',\n",
    "            arrowprops=dict(facecolor='gray', shrink=0.01),\n",
    "            horizontalalignment='left',\n",
    "            verticalalignment='bottom')\n",
    "#     axin1.set_xlabel(r'$j$')\n",
    "#     axin1.set_title(r'$k$')\n",
    "#     axin1.grid()\n",
    "    axin2 = ax_a.inset_axes([0.65,.32, 0.31, 0.27])\n",
    "    inset2 = axin2.imshow(flow_results['optimally_flowed_H'][-1], cmap='RdBu')\n",
    "\n",
    "    divider2 = make_axes_locatable(axin2)\n",
    "    div_ax2 = divider2.append_axes(\"right\", size=\"10%\", pad=0.05)\n",
    "    cbar2 = plt.colorbar(inset2, cax = div_ax2 )\n",
    "    ax_a.annotate(' ',\n",
    "        xy=(x_axis[-1], 11.4),  # theta, radius\n",
    "        xytext=(.95, .3),    # fraction, fraction\n",
    "        textcoords='axes fraction',\n",
    "        arrowprops=dict(facecolor='gray', shrink=0.05),\n",
    "        horizontalalignment='left',\n",
    "        verticalalignment='bottom')\n",
    "    \n",
    "    axin3 = ax_a.inset_axes([0.65,.7, 0.31, 0.27])\n",
    "    inset3 = axin3.imshow(flow_results['optimally_flowed_H'][2], cmap='RdBu')\n",
    "\n",
    "    divider3 = make_axes_locatable(axin3)\n",
    "    div_ax3 = divider3.append_axes(\"right\", size=\"10%\", pad=0.05)\n",
    "    cbar2 = plt.colorbar(inset3, cax = div_ax3 )\n",
    "    ax_a.annotate(' ',\n",
    "        xy=(x_axis[2]+.01, norms[2]+.6),  # theta, radius\n",
    "        xytext=(0.65, 0.67),    # fraction, fraction\n",
    "        textcoords='axes fraction',\n",
    "        arrowprops=dict(facecolor='gray', shrink=0.05),\n",
    "        horizontalalignment='left',\n",
    "        verticalalignment='bottom')\n",
    "    axin2.set_yticks(range(2**L))  \n",
    "    axin2.set_xticklabels([1]+['']*(2**L-2)+[2**L])\n",
    "    axin2.set_yticklabels([1]+['']*(2**L-2)+[2**L])\n",
    "    axin2.set_xticks(range(2**L))    \n",
    "    axin3.set_yticks(range(2**L))  \n",
    "    axin3.set_xticklabels([1]+['']*(2**L-2)+[2**L])\n",
    "    axin3.set_yticklabels([1]+['']*(2**L-2)+[2**L])\n",
    "    axin3.set_xticks(range(2**L))\n",
    "    chosen_steps = [1,2]\n",
    "    plt.savefig( 'figs/variational_norm_'+hamiltonian_name+'.pdf')\n",
    "    \n",
    "plot_iteration_results()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Simple plot for debugging"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "H = flow.flow_outputs['final_flowed_H'][-1]\n",
    "\n",
    "plt.figure()\n",
    "plt.subplot(121)\n",
    "plt.imshow(abs(H_TLFIM), cmap='RdBu')\n",
    "plt.colorbar()\n",
    "plt.subplot(122)\n",
    "plt.imshow(abs(H), cmap='RdBu')\n",
    "plt.colorbar()\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This variable stores or strings that have been tested in each step"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['ZZZZZZZ', 'ZZZZZZ1', 'ZZZZZ1Z', 'ZZZZZ11', 'ZZZZ1ZZ', 'ZZZZ1Z1', 'ZZZZ11Z', 'ZZZZ111', 'ZZZ1ZZZ', 'ZZZ1ZZ1', 'ZZZ1Z1Z', 'ZZZ1Z11', 'ZZZ11ZZ', 'ZZZ11Z1', 'ZZZ111Z', 'ZZZ1111', 'ZZ1ZZZZ', 'ZZ1ZZZ1', 'ZZ1ZZ1Z', 'ZZ1ZZ11', 'ZZ1Z1ZZ', 'ZZ1Z1Z1', 'ZZ1Z11Z', 'ZZ1Z111', 'ZZ11ZZZ', 'ZZ11ZZ1', 'ZZ11Z1Z', 'ZZ11Z11', 'ZZ111ZZ', 'ZZ111Z1', 'ZZ1111Z', 'ZZ11111', 'Z1ZZZZZ', 'Z1ZZZZ1', 'Z1ZZZ1Z', 'Z1ZZZ11', 'Z1ZZ1ZZ', 'Z1ZZ1Z1', 'Z1ZZ11Z', 'Z1ZZ111', 'Z1Z1ZZZ', 'Z1Z1ZZ1', 'Z1Z1Z1Z', 'Z1Z1Z11', 'Z1Z11ZZ', 'Z1Z11Z1', 'Z1Z111Z', 'Z1Z1111', 'Z11ZZZZ', 'Z11ZZZ1', 'Z11ZZ1Z', 'Z11ZZ11', 'Z11Z1ZZ', 'Z11Z1Z1', 'Z11Z11Z', 'Z11Z111', 'Z111ZZZ', 'Z111ZZ1', 'Z111Z1Z', 'Z111Z11', 'Z1111ZZ', 'Z1111Z1', 'Z11111Z', 'Z111111', '1ZZZZZZ', '1ZZZZZ1', '1ZZZZ1Z', '1ZZZZ11', '1ZZZ1ZZ', '1ZZZ1Z1', '1ZZZ11Z', '1ZZZ111', '1ZZ1ZZZ', '1ZZ1ZZ1', '1ZZ1Z1Z', '1ZZ1Z11', '1ZZ11ZZ', '1ZZ11Z1', '1ZZ111Z', '1ZZ1111', '1Z1ZZZZ', '1Z1ZZZ1', '1Z1ZZ1Z', '1Z1ZZ11', '1Z1Z1ZZ', '1Z1Z1Z1', '1Z1Z11Z', '1Z1Z111', '1Z11ZZZ', '1Z11ZZ1', '1Z11Z1Z', '1Z11Z11', '1Z111ZZ', '1Z111Z1', '1Z1111Z', '1Z11111', '11ZZZZZ', '11ZZZZ1', '11ZZZ1Z', '11ZZZ11', '11ZZ1ZZ', '11ZZ1Z1', '11ZZ11Z', '11ZZ111', '11Z1ZZZ', '11Z1ZZ1', '11Z1Z1Z', '11Z1Z11', '11Z11ZZ', '11Z11Z1', '11Z111Z', '11Z1111', '111ZZZZ', '111ZZZ1', '111ZZ1Z', '111ZZ11', '111Z1ZZ', '111Z1Z1', '111Z11Z', '111Z111', '1111ZZZ', '1111ZZ1', '1111Z1Z', '1111Z11', '11111ZZ', '11111Z1', '111111Z', '1111111']\n"
     ]
    }
   ],
   "source": [
    "print(flow.flow_outputs['all_Z_names'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "and these are the strings that gave the optimal generator to decrease the norm of the off-diagonal restriction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 Canonical\n",
      "1 Canonical\n",
      "2 Canonical\n",
      "3 Canonical\n",
      "4 Canonical\n",
      "5 Canonical\n",
      "6 Canonical\n",
      "7 Canonical\n",
      "8 Canonical\n",
      "9 Canonical\n",
      "10 Canonical\n",
      "11 111111Z\n",
      "12 Canonical\n",
      "13 Canonical\n",
      "14 Canonical\n",
      "15 Canonical\n",
      "16 1Z11Z11\n",
      "17 Canonical\n",
      "18 1ZZ1111\n",
      "19 1111ZZ1\n"
     ]
    }
   ],
   "source": [
    "for i, z in enumerate(flow.flow_outputs['strs_of_minimizer_Z']):\n",
    "    print(i, z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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