**** Extraction of kernels from the Tutte-Coxeter graph **** *** Graph data *** ** 30 vertices ** set(['11', '10', '22', '26', '27', '15', '21', '24', '25', '13', '12', '20', '14', '17', '23', '19', '18', '16', '28', '29', '1', '0', '3', '2', '5', '4', '7', '6', '9', '8']) ** direct neighbors ** '24': (set(['27', '21', '14']), set(['27', '21', '14'])), '25': (set(['15', '28', '22']), set(['15', '28', '22'])), '26': (set(['16', '29', '23']), set(['16', '29', '23'])), '27': (set(['24', '20', '17']), set(['24', '20', '17'])), '20': (set(['10', '27', '23']), set(['10', '27', '23'])), '21': (set(['24', '11', '28']), set(['24', '11', '28'])), '22': (set(['25', '12', '29']), set(['25', '12', '29'])), '23': (set(['26', '20', '13']), set(['26', '20', '13'])), '28': (set(['25', '21', '18']), set(['25', '21', '18'])), '29': (set(['19', '26', '22']), set(['19', '26', '22'])), '1': (set(['11', '0', '2']), set(['11', '0', '2'])), '0': (set(['1', '9', '10']), set(['1', '9', '10'])), '3': (set(['13', '2', '4']), set(['13', '2', '4'])), '2': (set(['1', '3', '12']), set(['1', '3', '12'])), '5': (set(['15', '4', '6']), set(['15', '4', '6'])), '4': (set(['3', '5', '14']), set(['3', '5', '14'])), '7': (set(['8', '17', '6']), set(['8', '17', '6'])), '6': (set(['5', '7', '16']), set(['5', '7', '16'])), '9': (set(['19', '0', '8']), set(['19', '0', '8'])), '8': (set(['9', '18', '7']), set(['9', '18', '7'])), '11': (set(['1', '21', '16']), set(['1', '21', '16'])), '10': (set(['15', '0', '20']), set(['15', '0', '20'])), '13': (set(['18', '3', '23']), set(['18', '3', '23'])), '12': (set(['2', '17', '22']), set(['2', '17', '22'])), '15': (set(['25', '5', '10']), set(['25', '5', '10'])), '14': (set(['24', '19', '4']), set(['24', '19', '4'])), '17': (set(['12', '27', '7']), set(['12', '27', '7'])), '16': (set(['11', '26', '6']), set(['11', '26', '6'])), '19': (set(['9', '29', '14']), set(['9', '29', '14'])), '18': (set(['8', '13', '28']), set(['8', '13', '28'])) *** isomorphic reduction of labelled kernels *** ** graph automorphisms "" * reflexion 1 * frozenset([('12', '25'), ('2', '15'), ('16', '23'), ('6', '13'), ('1', '10'), ('7', '18'), ('11', '20'), ('17', '28'), ('3', '5'), ('21', '27')]) * reflexion 2 * frozenset([('14', '18'), ('25', '27'), ('7', '29'), ('17', '22'), ('15', '20'), ('4', '13'), ('6', '26'), ('24', '28'), ('5', '23'), ('8', '19')]) * reflexion 3 * frozenset([('7', '27'), ('8', '20'), ('15', '19'), ('25', '29'), ('9', '10'), ('16', '21'), ('6', '24'), ('26', '28'), ('5', '14'), ('18', '23')]) * permutation 1 * {'24': '25', '25': '26', '26': '27', '27': '28', '20': '21', '21': '22', '22': '23', '23': '24', '28': '29', '29': '20', '1': '2', '0': '1', '3': '4', '2': '3', '5': '6', '4': '5', '7': '8', '6': '7', '9': '0', '8': '9', '11': '12', '10': '11', '13': '14', '12': '13', '15': '16', '14': '15', '17': '18', '16': '17', '19': '10', '18': '19'} ** kernel orbits ** Labelled representatives: 15 1: ['11', '25', '26', '12', '10', '18', '27', '4', '7', '9'], 2: ['24', '11', '26', '20', '17', '22', '19', '28', '0', '3', '8', '6', '15'], 3: ['13', '12', '20', '21', '19', '26', '0', '4', '6', '15', '8'], 4: ['24', '25', '26', '12', '20', '19', '18', '1', '3', '5', '7'], 5: ['24', '10', '12', '16', '23', '28', '29', '1', '3', '5', '7', '9'], 6: ['20', '21', '22', '16', '18', '2', '4', '7', '9', '15'], 7: ['20', '21', '22', '16', '18', '1', '4', '7', '9', '15'], 8: ['24', '26', '12', '20', '19', '28', '1', '3', '8', '6', '15'], 9: ['25', '21', '17', '16', '19', '23', '2', '4', '8', '10'], 10: ['10', '26', '27', '22', '19', '28', '1', '3', '5', '7'], 11: ['10', '13', '27', '16', '28', '29', '2', '4', '8'], 12: ['25', '13', '27', '21', '29', '0', '2', '4', '6', '8'], 13: ['24', '11', '26', '20', '22', '19', '18', '0', '2', '5', '7'], 14: ['27', '15', '21', '22', '16', '19', '18', '23', '0', '2', '4', '7'], 15: ['24', '11', '13', '20', '17', '22', '19', '28', '26', '0', '2', '4', '6', '15', '8'])] ** List of labelled kernels : 3264 ** * orbit 1 * ['11', '25', '26', '12', '10', '18', '27', '4', '7', '9']) length : 10 number of isomorph solutions 360 isormorh solutions set( frozenset(['11', '24', '12', '15', '23', '19', '28', '0', '4', '7']), frozenset(['26', '20', '21', '22', '19', '13', '0', '2', '5', '7']), frozenset(['11', '25', '13', '27', '19', '26', '0', '2', '5', '8']), frozenset(['11', '25', '26', '12', '10', '18', '27', '4', '7', '9']), frozenset(['24', '15', '17', '22', '16', '19', '18', '0', '3', '20']), frozenset(['13', '20', '21', '17', '29', '2', '4', '6', '9', '15']), frozenset(['24', '25', '12', '20', '18', '29', '1', '3', '6', '9']), frozenset(['24', '25', '12', '23', '29', '1', '3', '6', '8', '10']), frozenset(['24', '25', '13', '12', '20', '16', '19', '0', '4', '8']), frozenset(['24', '10', '22', '16', '18', '23', '1', '4', '7', '9']), frozenset(['13', '27', '15', '21', '29', '0', '2', '4', '6', '8']), frozenset(['24', '25', '13', '20', '16', '19', '0', '2', '4', '7']), frozenset(['24', '10', '13', '17', '28', '29', '1', '4', '6', '8']), frozenset(['24', '25', '12', '23', '16', '29', '0', '3', '5', '8']), frozenset(['26', '12', '15', '14', '28', '1', '3', '27', '7', '9']), frozenset(['15', '14', '17', '23', '16', '29', '1', '3', '8', '21']), frozenset(['25', '26', '20', '21', '19', '13', '0', '2', '4', '7']), frozenset(['24', '25', '20', '17', '16', '19', '18', '0', '2', '4']), frozenset(['25', '21', '17', '23', '19', '18', '1', '3', '6', '10']), frozenset(['11', '26', '20', '14', '22', '18', '0', '2', '5', '17']), frozenset(['25', '13', '12', '14', '26', '0', '27', '5', '7', '21']), frozenset(['11', '25', '13', '12', '14', '10', '29', '27', '5', '8']), frozenset(['24', '10', '26', '12', '19', '28', '13', '4', '7', '11']), frozenset(['25', '12', '20', '21', '16', '19', '18', '1', '4', '7']), frozenset(['15', '21', '22', '23', '0', '2', '17', '6', '8', '14']), frozenset(['26', '20', '17', '22', '19', '13', '1', '5', '8', '21']), frozenset(['27', '15', '22', '23', '19', '28', '1', '4', '6', '8']), frozenset(['24', '20', '17', '16', '18', '29', '0', '2', '4', '15']), frozenset(['11', '25', '20', '14', '17', '18', '29', '3', '5', '9']), frozenset(['25', '26', '27', '14', '18', '0', '2', '5', '7', '21']), frozenset(['24', '10', '13', '17', '16', '28', '29', '2', '4', '8']), frozenset(['11', '26', '20', '14', '22', '18', '0', '2', '7', '15']), frozenset(['13', '27', '14', '16', '28', '29', '0', '12', '5', '7']), frozenset(['25', '12', '20', '21', '16', '19', '1', '3', '5', '8']), frozenset(['25', '13', '12', '20', '21', '16', '19', '1', '5', '7']), frozenset(['13', '20', '14', '22', '16', '1', '5', '7', '9', '21']), frozenset(['11', '26', '27', '15', '22', '19', '18', '0', '3', '6']), frozenset(['25', '26', '14', '17', '10', '13', '1', '5', '9', '21']), frozenset(['11', '10', '13', '27', '28', '29', '2', '4', '6', '8']), frozenset(['11', '27', '14', '22', '23', '18', '0', '3', '5', '7']), frozenset(['11', '24', '12', '15', '23', '19', '18', '0', '4', '6']), frozenset(['11', '10', '13', '14', '17', '28', '29', '2', '6', '8']), frozenset(['10', '26', '17', '22', '13', '2', '4', '6', '9', '21']), frozenset(['10', '13', '27', '22', '16', '19', '28', '2', '4', '8']), frozenset(['25', '26', '20', '21', '17', '19', '0', '3', '6', '8']), frozenset(['10', '13', '12', '16', '19', '28', '1', '27', '5', '7']), frozenset(['11', '10', '26', '22', '17', '28', '3', '6', '8', '14']), frozenset(['27', '14', '23', '16', '28', '29', '0', '2', '5', '7']), frozenset(['24', '26', '12', '15', '19', '18', '1', '4', '6', '20']), frozenset(['13', '27', '15', '16', '28', '29', '0', '2', '4', '8']), frozenset(['25', '21', '17', '16', '19', '18', '23', '0', '3', '5']), frozenset(['25', '12', '20', '21', '16', '18', '29', '0', '4', '7']), frozenset(['12', '15', '21', '23', '16', '29', '1', '27', '4', '8']), frozenset(['11', '25', '27', '14', '10', '23', '29', '2', '5', '8']), frozenset(['10', '27', '14', '16', '23', '28', '29', '2', '5', '8']), frozenset(['24', '25', '13', '16', '29', '2', '5', '7', '9', '10']), frozenset(['24', '26', '20', '22', '17', '28', '13', '1', '5', '9']), frozenset(['11', '26', '12', '20', '14', '28', '13', '6', '9', '15']), frozenset(['13', '15', '14', '17', '16', '22', '28', '2', '9', '20']), frozenset(['10', '26', '22', '17', '28', '13', '1', '6', '8', '14']), frozenset(['10', '26', '27', '21', '22', '18', '1', '4', '7', '9']), frozenset(['24', '10', '13', '12', '28', '29', '4', '6', '11', '8']), frozenset(['11', '24', '15', '18', '29', '0', '2', '4', '7', '20']), frozenset(['11', '10', '14', '17', '23', '28', '29', '3', '5', '9']), frozenset(['10', '26', '27', '21', '22', '1', '3', '5', '8', '14']), frozenset(['26', '27', '15', '22', '19', '28', '13', '1', '4', '7']), frozenset(['24', '10', '26', '12', '28', '1', '3', '5', '7', '9']), frozenset(['15', '21', '17', '16', '18', '23', '29', '2', '9', '14']), frozenset(['10', '13', '27', '14', '28', '29', '1', '12', '6', '9']), frozenset(['11', '24', '20', '17', '28', '29', '3', '6', '9', '15']), frozenset(['26', '15', '21', '22', '19', '13', '1', '4', '7', '20']), frozenset(['25', '21', '17', '16', '19', '18', '23', '2', '5', '10']), frozenset(['25', '20', '21', '16', '18', '29', '2', '4', '7', '9']), frozenset(['11', '25', '13', '10', '19', '26', '2', '4', '7', '24']), frozenset(['24', '25', '26', '20', '17', '19', '18', '1', '4', '6']), frozenset(['24', '10', '22', '23', '18', '16', '2', '5', '7', '9']), frozenset(['12', '20', '14', '16', '28', '29', '0', '3', '5', '7']), frozenset(['26', '20', '21', '22', '13', '2', '4', '7', '9', '15']), frozenset(['25', '27', '21', '23', '19', '16', '2', '5', '8', '10']), frozenset(['10', '27', '21', '22', '23', '1', '3', '6', '8', '14']), frozenset(['13', '12', '20', '14', '26', '15', '0', '6', '8', '21']), frozenset(['24', '12', '15', '23', '18', '29', '1', '3', '6', '9']), frozenset(['10', '21', '17', '23', '19', '22', '2', '4', '6', '8']), frozenset(['27', '14', '22', '16', '23', '28', '0', '3', '5', '7']), frozenset(['15', '14', '17', '16', '18', '23', '29', '0', '3', '21']), frozenset(['11', '13', '15', '14', '28', '29', '0', '2', '7', '20']), frozenset(['24', '15', '17', '23', '28', '29', '1', '4', '6', '8']), frozenset(['13', '20', '14', '22', '16', '28', '15', '1', '17', '8']), frozenset(['26', '27', '15', '21', '22', '19', '0', '3', '6', '8']), frozenset(['24', '25', '17', '16', '19', '23', '0', '2', '4', '8']), frozenset(['11', '25', '27', '23', '19', '0', '2', '4', '6', '8']), frozenset(['11', '24', '22', '17', '23', '19', '18', '0', '2', '5']), frozenset(['24', '25', '23', '18', '16', '29', '0', '2', '5', '7']), frozenset(['11', '25', '12', '23', '19', '18', '3', '27', '6', '10']), frozenset(['11', '25', '13', '12', '10', '29', '27', '4', '7', '9']), frozenset(['25', '26', '27', '21', '10', '18', '2', '4', '7', '9']), frozenset(['13', '15', '14', '17', '28', '29', '20', '1', '6', '8']), frozenset(['24', '10', '13', '22', '19', '28', '26', '1', '4', '7']), frozenset(['11', '25', '14', '17', '23', '18', '29', '0', '3', '5']), frozenset(['11', '24', '26', '12', '20', '28', '3', '6', '9', '15']), frozenset(['24', '25', '13', '20', '17', '29', '1', '4', '6', '8']), frozenset(['24', '26', '15', '22', '19', '28', '1', '3', '7', '20']), frozenset(['26', '20', '22', '17', '28', '13', '1', '5', '8', '14']), frozenset(['26', '12', '15', '21', '18', '1', '27', '4', '7', '9']), frozenset(['27', '15', '14', '22', '23', '16', '1', '3', '8', '21']), frozenset(['10', '12', '23', '28', '29', '1', '27', '4', '6', '9']), frozenset(['11', '25', '13', '12', '14', '29', '0', '27', '5', '7']), frozenset(['11', '24', '26', '17', '25', '19', '3', '6', '8', '10']), frozenset(['12', '15', '14', '16', '29', '20', '1', '3', '8', '21']), frozenset(['13', '20', '14', '22', '16', '28', '0', '2', '7', '15']), frozenset(['24', '10', '23', '19', '18', '16', '2', '5', '25', '7']), frozenset(['11', '26', '20', '14', '22', '28', '0', '3', '7', '15']), frozenset(['26', '27', '15', '22', '28', '13', '1', '4', '6', '9']), frozenset(['14', '22', '23', '18', '16', '0', '3', '5', '17', '21']), frozenset(['20', '14', '17', '16', '28', '29', '1', '3', '5', '9']), frozenset(['24', '10', '26', '12', '19', '28', '13', '5', '11', '8']), frozenset(['20', '14', '22', '16', '18', '0', '3', '5', '7', '21']), frozenset(['25', '12', '21', '16', '23', '29', '0', '27', '4', '8']), frozenset(['11', '25', '13', '12', '20', '14', '29', '5', '7', '9']), frozenset(['11', '25', '12', '23', '19', '18', '27', '4', '7', '10']), frozenset(['24', '11', '26', '15', '22', '28', '3', '7', '9', '20']), frozenset(['20', '14', '22', '16', '28', '1', '3', '5', '7', '9']), frozenset(['25', '26', '12', '20', '14', '1', '3', '5', '8', '21']), frozenset(['26', '12', '20', '14', '28', '1', '3', '5', '7', '9']), frozenset(['11', '17', '22', '23', '28', '0', '2', '5', '8', '14']), frozenset(['25', '12', '20', '14', '18', '29', '0', '3', '6', '21']), frozenset(['10', '27', '23', '16', '28', '29', '2', '4', '7', '9']), frozenset(['11', '25', '12', '20', '14', '18', '29', '3', '6', '9']), frozenset(['10', '13', '27', '21', '22', '16', '1', '4', '7', '9']), frozenset(['10', '26', '21', '22', '19', '18', '2', '17', '6', '4']), frozenset(['26', '27', '15', '22', '19', '28', '1', '3', '6', '8']), frozenset(['26', '20', '22', '17', '19', '0', '3', '5', '8', '21']), frozenset(['13', '27', '22', '16', '19', '28', '0', '2', '5', '8']), frozenset(['11', '26', '12', '15', '14', '28', '13', '0', '7', '20']), frozenset(['11', '26', '27', '15', '22', '18', '2', '4', '6', '9']), frozenset(['15', '21', '17', '16', '18', '23', '29', '1', '4', '9']), frozenset(['11', '27', '15', '22', '23', '28', '2', '4', '6', '9']), frozenset(['25', '26', '27', '14', '18', '0', '3', '12', '6', '21']), frozenset(['26', '27', '15', '21', '19', '18', '1', '3', '12', '7']), frozenset(['11', '25', '26', '20', '14', '17', '13', '2', '6', '9']), frozenset(['24', '25', '13', '12', '20', '26', '9', '4', '6', '11']), frozenset(['10', '26', '21', '22', '13', '2', '17', '6', '8', '14']), frozenset(['11', '25', '13', '27', '14', '26', '0', '2', '6', '8']), frozenset(['26', '12', '15', '21', '19', '13', '0', '4', '7', '20']), frozenset(['13', '27', '15', '14', '16', '29', '1', '12', '8', '21']), frozenset(['11', '24', '13', '17', '10', '28', '29', '2', '5', '8']), frozenset(['15', '14', '17', '16', '23', '28', '29', '1', '3', '9']), frozenset(['11', '12', '20', '14', '28', '29', '3', '5', '7', '9']), frozenset(['26', '15', '21', '22', '13', '0', '2', '7', '20', '14']), frozenset(['24', '13', '20', '22', '19', '28', '26', '1', '5', '7']), frozenset(['13', '20', '21', '17', '29', '1', '4', '6', '15', '8']), frozenset(['10', '26', '17', '22', '19', '13', '2', '5', '8', '21']), frozenset(['25', '12', '21', '23', '19', '18', '0', '3', '27', '6']), frozenset(['13', '27', '15', '22', '16', '19', '28', '1', '4', '8']), frozenset(['13', '12', '15', '16', '19', '28', '0', '27', '4', '8']), frozenset(['10', '27', '21', '22', '23', '18', '2', '6', '9', '14']), frozenset(['11', '13', '27', '15', '28', '29', '2', '4', '6', '9']), frozenset(['24', '10', '12', '23', '16', '29', '1', '25', '8', '4']), frozenset(['24', '20', '17', '16', '28', '29', '15', '0', '3', '8']), frozenset(['26', '12', '15', '21', '19', '20', '0', '3', '6', '8']), frozenset(['10', '14', '17', '23', '16', '28', '29', '2', '5', '9']), frozenset(['20', '14', '22', '16', '18', '2', '5', '7', '9', '21']), frozenset(['10', '13', '22', '17', '16', '19', '2', '4', '8', '21']), frozenset(['11', '24', '13', '20', '28', '29', '0', '2', '5', '7']), frozenset(['11', '20', '14', '17', '18', '29', '0', '2', '6', '15']), frozenset(['11', '10', '27', '14', '22', '23', '18', '3', '6', '9']), frozenset(['24', '15', '22', '16', '19', '28', '0', '3', '7', '20']), frozenset(['27', '23', '19', '16', '28', '0', '3', '12', '5', '7']), frozenset(['11', '10', '14', '22', '23', '18', '3', '5', '17', '9']), frozenset(['11', '25', '13', '14', '17', '10', '26', '2', '6', 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frozenset(['26', '27', '15', '21', '22', '13', '2', '4', '6', '9']), frozenset(['25', '20', '21', '17', '16', '19', '18', '1', '3', '5']), frozenset(['26', '27', '21', '22', '19', '13', '0', '2', '5', '8']), frozenset(['24', '25', '12', '23', '18', '16', '29', '0', '4', '7']), frozenset(['25', '27', '14', '23', '29', '10', '2', '6', '8', '21']), frozenset(['25', '26', '27', '14', '10', '18', '2', '6', '9', '21']), frozenset(['11', '25', '13', '12', '14', '10', '29', '27', '6', '9']), frozenset(['24', '11', '15', '22', '17', '23', '28', '3', '6', '9']), frozenset(['11', '26', '27', '15', '14', '18', '3', '12', '7', '9']), frozenset(['11', '25', '26', '27', '19', '18', '0', '2', '4', '6']), frozenset(['24', '12', '16', '23', '28', '29', '0', '3', '5', '7']), frozenset(['11', '24', '20', '17', '28', '29', '0', '3', '5', '8']), frozenset(['13', '27', '15', '14', '22', '16', '28', '0', '2', '8']), frozenset(['10', '26', '12', '14', '28', '1', '3', '27', '6', '9']), frozenset(['15', '17', 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frozenset(['25', '13', '12', '20', '14', '29', '1', '6', '9', '21']), frozenset(['11', '13', '27', '15', '28', '29', '0', '2', '4', '7']), frozenset(['25', '14', '17', '23', '18', '29', '0', '3', '6', '21']), frozenset(['24', '10', '12', '23', '19', '18', '1', '3', '25', '6']), frozenset(['24', '15', '17', '28', '29', '20', '1', '3', '6', '8']), frozenset(['24', '25', '13', '12', '16', '29', '1', '5', '8', '10']), frozenset(['12', '20', '14', '16', '28', '29', '1', '3', '5', '8']), frozenset(['25', '26', '21', '17', '10', '19', '18', '1', '3', '5']), frozenset(['24', '12', '15', '23', '19', '16', '28', '0', '4', '8']), frozenset(['11', '24', '12', '15', '18', '29', '0', '4', '6', '20']), frozenset(['24', '10', '26', '12', '25', '18', '1', '3', '6', '9']), frozenset(['11', '24', '20', '17', '18', '29', '0', '3', '6', '15']), frozenset(['24', '10', '13', '22', '16', '19', '28', '2', '4', '7']), frozenset(['20', '14', '16', '18', '29', '2', '7', '9', '15', '21']), frozenset(['25', '27', '21', '23', '18', '29', '0', '2', '6', '14']), frozenset(['11', '24', '22', '23', '19', '28', '0', '2', '5', '7']), frozenset(['10', '13', '21', '17', '25', '29', '1', '6', '9', '14']), frozenset(['11', '10', '26', '27', '22', '19', '28', '3', '6', '8'])]) Number of choices before : 3264 Number of choices after : 2904 * orbit 3 * ['13', '12', '20', '21', '19', '26', '0', '4', '6', '15', '8'] length : 11 number of isomorph solutions 120 isormorh solutions set([frozenset(['11', '25', '12', '23', '19', '18', '3', '27', '5', '7', '10']), frozenset(['10', '26', '14', '17', '25', '18', '1', '3', '5', '9', '21']), frozenset(['13', '12', '20', '21', '19', '26', '0', '4', '6', '15', '8']), frozenset(['26', '15', '21', '22', '19', '13', '0', '2', '4', '7', '20']), frozenset(['24', '13', '12', '20', '16', '19', '28', '15', '0', '4', '8']), frozenset(['11', '24', '26', '20', '17', '22', '19', '18', '0', '2', '5']), frozenset(['24', '13', '15', '17', '28', '29', '20', '1', '4', '6', '8']), frozenset(['25', '12', '20', '14', '16', '29', '1', '3', '5', '8', '21']), frozenset(['12', '20', '14', '16', '28', '29', '1', '3', '5', '7', '9']), frozenset(['25', '13', '12', '21', '10', '19', '16', '1', '27', '5', '7']), frozenset(['24', '25', '13', '20', '17', '16', '19', '0', '2', '4', '8']), frozenset(['24', '25', '26', '12', '10', '18', '1', '3', '5', '7', '9']), frozenset(['24', '15', '17', '22', '23', '19', '28', '1', '4', '6', '8']), frozenset(['11', '15', '14', '17', '23', '22', '28', '0', '2', '6', '8']), frozenset(['10', '12', '14', '23', '28', '29', '1', '3', '27', '6', '9']), frozenset(['10', '26', '12', '21', '25', '18', '1', '27', '4', '7', '9']), frozenset(['11', '25', '12', '10', '18', '23', '29', '27', '4', '7', '9']), frozenset(['25', '20', '14', '16', '18', '29', '2', '5', '7', '9', '21']), frozenset(['24', '13', '20', '17', '22', '19', '28', '26', '1', '5', '8']), frozenset(['11', '24', '26', '12', '20', '19', '18', '0', '4', '6', '15']), frozenset(['12', '15', '21', '23', '19', '18', '16', '1', '3', '27', '7']), frozenset(['27', '14', '22', '16', '18', '23', '0', '3', '5', '7', '21']), frozenset(['24', '26', '15', '22', '17', '19', '18', '1', '4', '6', '20']), frozenset(['11', '26', '27', '15', '22', '19', '28', '0', '3', '6', '8']), frozenset(['27', '15', '14', '16', '23', '29', '1', '3', '12', '8', '21']), frozenset(['25', '13', '14', '17', '10', '16', '29', '1', '5', '9', '21']), frozenset(['11', '26', '12', '20', '14', '28', '13', '15', '0', '6', '8']), frozenset(['10', '27', '14', '22', '23', '18', '1', '3', '6', '9', '21']), frozenset(['11', '25', '12', '14', '23', '29', '3', '27', '5', '8', '10']), frozenset(['24', '10', '12', '25', '18', '23', '29', '1', '3', '6', '9']), frozenset(['25', '13', '12', '14', '16', '29', '0', '27', '5', '7', '21']), frozenset(['11', '24', '26', '20', '22', '19', '28', '0', '3', '7', '15']), frozenset(['24', '11', '26', '20', '17', '25', '13', '2', '4', '6', '9']), frozenset(['11', '10', '26', '14', '22', '28', '13', '2', '17', '6', '8']), frozenset(['24', '11', '26', '15', '22', '17', '28', '3', '6', '9', '20']), frozenset(['10', '13', '12', '21', '25', '29', '1', '27', '6', '9', '14']), frozenset(['10', '27', '16', '19', '23', '28', '1', '3', '12', '5', '7']), frozenset(['11', '26', '15', '14', '17', '18', '22', '0', '2', '6', '20']), frozenset(['10', '13', '27', '14', '22', '16', '1', '5', '7', '9', '21']), frozenset(['27', '15', '21', '16', '18', '23', '29', '2', '7', '9', '14']), frozenset(['10', '27', '14', '22', '23', '16', '1', '3', '5', '8', '21']), frozenset(['11', '25', '13', '12', '14', '10', '29', '27', '5', '7', '9']), frozenset(['24', '11', '26', '20', '22', '17', '28', '13', '2', '5', '9']), frozenset(['25', '14', '17', '23', '18', '16', '29', '0', '3', '5', '21']), frozenset(['26', '27', '15', '21', '18', '1', '3', '12', '7', '9', '14']), frozenset(['25', '27', '14', '16', '23', '29', '10', '2', '5', '8', '21']), frozenset(['11', '24', '15', '22', '17', '23', '28', '2', '4', '6', '9']), frozenset(['24', '10', '26', '17', '22', '19', '18', '2', '4', '6', '11']), frozenset(['10', '27', '21', '22', '16', '18', '23', '1', '4', '7', '9']), frozenset(['24', '25', '26', '20', '17', '19', '0', '3', '6', '11', '8']), frozenset(['10', '26', '12', '14', '28', '1', '3', '27', '5', '7', '9']), frozenset(['11', '25', '12', '20', '14', '18', '29', '3', '5', '7', '9']), frozenset(['25', '12', '21', '23', '19', '18', '1', '3', '27', '6', '10']), frozenset(['24', '25', '17', '23', '19', '0', '2', '4', '6', '11', '8']), frozenset(['13', '20', '21', '17', '29', '0', '2', '4', '6', '15', '8']), frozenset(['13', '27', '15', '22', '16', '19', '28', '0', '2', '4', '8']), frozenset(['10', '12', '16', '23', '28', '29', '1', '27', '4', '7', '9']), frozenset(['25', '12', '21', '23', '16', '29', '1', '27', '4', '8', '10']), frozenset(['11', '12', '15', '14', '23', '18', '29', '3', '27', '7', '9']), frozenset(['24', '10', '26', '17', '22', '19', '28', '3', '6', '11', '8']), frozenset(['15', '14', '17', '23', '18', '16', '29', '1', '3', '9', '21']), frozenset(['11', '26', '27', '15', '22', '19', '18', '0', '2', '4', '6']), frozenset(['25', '12', '20', '14', '18', '29', '1', '3', '6', '9', '21']), frozenset(['24', '25', '12', '23', '16', '29', '1', '3', '5', '8', '10']), frozenset(['25', '21', '17', '23', '19', '18', '16', '1', '3', '5', '10']), frozenset(['25', '26', '27', '21', '10', '18', '2', '5', '7', '9', '14']), frozenset(['24', '13', '15', '22', '17', '16', '28', '2', '4', '9', '20']), frozenset(['11', '25', '26', '20', '14', '17', '13', '0', '2', '6', '8']), frozenset(['24', '12', '15', '16', '18', '23', '29', '1', '3', '7', '9']), frozenset(['24', '10', '22', '23', '18', '16', '1', '3', '5', '7', '9']), frozenset(['20', '14', '22', '16', '18', '1', '3', '5', '7', '9', '21']), frozenset(['24', '11', '26', '12', '15', '28', '13', '4', '6', '9', '20']), frozenset(['10', '21', '17', '16', '18', '23', '29', '1', '25', '9', '4']), frozenset(['24', '10', '26', '22', '19', '28', '13', '2', '4', '7', '11']), frozenset(['11', '24', '22', '17', '23', '19', '28', '0', '2', '5', '8']), frozenset(['24', '25', '16', '18', '23', '29', '2', '5', '7', '9', '10']), frozenset(['24', '10', '13', '12', '16', '29', '1', '5', '25', '7', '9']), frozenset(['25', '12', '14', '23', '18', '29', '0', '3', '27', '6', '21']), frozenset(['24', '10', '13', '17', '22', '16', '19', '28', '2', '4', '8']), frozenset(['11', '10', '13', '17', '24', '28', '29', '2', '4', '6', '8']), frozenset(['25', '12', '21', '16', '18', '23', '29', '0', '27', '4', '7']), frozenset(['11', '13', '27', '22', '19', '28', '26', '0', '2', '5', '8']), frozenset(['11', '10', '27', '14', '22', '23', '18', '3', '5', '7', '9']), frozenset(['26', '15', '21', '17', '22', '13', '2', '4', '6', '9', '20']), frozenset(['26', '15', '14', '22', '28', '13', '20', '1', '17', '6', '8']), frozenset(['11', '26', '15', '14', '22', '28', '13', '0', '2', '7', '20']), frozenset(['11', '25', '13', '20', '19', '26', '0', '2', '4', '7', '24']), frozenset(['11', '24', '15', '22', '23', '19', '28', '0', '2', '4', '7']), frozenset(['24', '25', '12', '23', '18', '16', '29', '0', '3', '5', '7']), frozenset(['10', '26', '22', '17', '19', '13', '2', '4', '6', '8', '21']), frozenset(['11', '13', '27', '15', '28', '29', '0', '2', '4', '6', '8']), frozenset(['11', '25', '13', '27', '19', '26', '0', '2', '4', '6', '8']), frozenset(['15', '17', '22', '23', '19', '0', '2', '4', '6', '8', '21']), frozenset(['27', '14', '16', '23', '28', '29', '0', '3', '12', '5', '7']), frozenset(['24', '26', '15', '22', '19', '28', '13', '1', '4', '7', '20']), frozenset(['24', '11', '26', '12', '10', '19', '28', '13', '4', '6', '8']), frozenset(['24', '11', '26', '12', '20', '19', '28', '13', '0', '5', '8']), frozenset(['24', '15', '17', '22', '16', '19', '18', '0', '2', '4', '20']), frozenset(['25', '27', '21', '16', '19', '18', '23', '2', '5', '7', '10']), frozenset(['25', '12', '20', '21', '16', '19', '18', '1', '3', '5', '7']), frozenset(['11', '26', '27', '15', '22', '28', '13', '2', '4', '6', '9']), frozenset(['10', '26', '12', '14', '25', '1', '3', '27', '5', '8', '21']), frozenset(['11', '25', '14', '17', '23', '18', '29', '3', '5', '9', '10']), frozenset(['10', '27', '14', '23', '16', '28', '29', '2', '5', '7', '9']), frozenset(['24', '25', '26', '20', '17', '19', '13', '1', '4', '6', '8']), frozenset(['25', '27', '21', '10', '18', '23', '29', '2', '6', '9', '14']), frozenset(['13', '15', '14', '22', '16', '28', '20', '0', '2', '17', '8']), frozenset(['13', '12', '15', '21', '16', '29', '1', '27', '7', '9', '14']), frozenset(['11', '24', '13', '20', '17', '28', '29', '0', '2', '5', '8']), frozenset(['25', '26', '12', '21', '18', '0', '3', '27', '5', '7', '14']), frozenset(['26', '27', '15', '22', '19', '28', '13', '1', '4', '6', '8']), frozenset(['26', '15', '17', '22', '19', '20', '0', '3', '6', '8', '21']), frozenset(['24', '15', '22', '17', '16', '19', '28', '20', '0', '3', '8']), frozenset(['24', '11', '20', '17', '18', '29', '0', '2', '4', '6', '15']), frozenset(['11', '24', '13', '20', '28', '29', '0', '2', '4', '7', '15']), frozenset(['11', '24', '12', '15', '23', '19', '28', '0', '4', '6', '8']), frozenset(['25', '12', '20', '21', '16', '18', '29', '1', '4', '7', '9']), frozenset(['10', '14', '17', '16', '23', '28', '29', '1', '3', '5', '9']), frozenset(['13', '20', '22', '17', '19', '26', '0', '2', '5', '8', '21']), frozenset(['11', '24', '20', '17', '28', '29', '0', '3', '8', '6', '15'])]) Number of choices before : 2904 Number of choices after : 2784 * orbit 5 * ['24', '10', '12', '16', '23', '28', '29', '1', '3', '5', '7', '9'] length : 12 number of isomorph solutions 90 isormorh solutions set([frozenset(['27', '15', '14', '16', '23', '28', '29', '1', '3', '12', '7', '9']), frozenset(['10', '27', '14', '22', '23', '16', '28', '1', '3', '5', '7', '9']), frozenset(['24', '10', '12', '16', '23', '28', '29', '1', '3', '5', '7', '9']), frozenset(['25', '27', '21', '23', '18', '16', '29', '2', '4', '7', '9', '10']), frozenset(['24', '10', '12', '23', '19', '18', '16', '1', '3', '5', '25', '7']), frozenset(['11', '24', '26', '20', '22', '19', '18', '0', '2', '4', '7', '15']), frozenset(['24', '10', '12', '16', '18', '23', '29', '1', '25', '7', '9', '4']), frozenset(['10', '27', '21', '22', '16', '19', '18', '23', '1', '3', '5', '7']), frozenset(['11', '24', '26', '20', '22', '17', '18', '2', '4', '6', '9', '15']), frozenset(['10', '27', '14', '22', '16', '18', '23', '2', '5', '7', '9', '21']), frozenset(['12', '15', '21', '16', '18', '23', '29', '1', '27', '4', '7', '9']), frozenset(['24', '26', '15', '22', '17', '28', '13', '1', '4', '6', '9', '20']), frozenset(['11', '10', '26', '27', '22', '19', '28', '13', '2', '4', '6', '8']), frozenset(['10', '26', '27', '21', '25', '19', '18', '1', '3', '12', '5', '7']), frozenset(['25', '12', '21', '23', '19', '16', '1', '3', '27', '5', '8', '10']), frozenset(['11', '24', '13', '15', '17', '28', '29', '2', '4', '6', '9', '20']), frozenset(['10', '12', '14', '16', '23', '28', '29', '1', '3', '27', '5', '8']), frozenset(['10', '12', '21', '25', '18', '23', '29', '1', '27', '4', '6', '9']), frozenset(['11', '25', '27', '14', '23', '18', '29', '2', '5', '7', '9', '10']), frozenset(['24', '11', '26', '20', '17', '22', '19', '28', '0', '3', '5', '8']), frozenset(['11', '24', '26', '12', '20', '19', '28', '13', '0', '4', '7', '15']), frozenset(['10', '14', '22', '23', '18', '16', '1', '3', '5', '17', '9', '21']), frozenset(['10', '26', '12', '21', '25', '13', '1', '27', '5', '7', '9', '14']), frozenset(['25', '12', '14', '23', '16', '29', '0', '3', '27', '5', '8', '21']), frozenset(['11', '25', '13', '17', '10', '19', '6', '26', '2', '4', '24', '8']), frozenset(['24', '15', '17', '22', '16', '19', '23', '28', '0', '2', '4', '8']), frozenset(['24', '11', '26', '15', '22', '17', '19', '18', '0', '3', '6', '20']), frozenset(['25', '26', '12', '20', '14', '18', '1', '3', '5', '7', '9', '21']), frozenset(['11', '26', '20', '14', '22', '28', '13', '2', '17', '6', '9', '15']), frozenset(['25', '12', '21', '23', '19', '18', '16', '0', '3', '27', '5', '7']), frozenset(['24', '25', '12', '20', '16', '18', '29', '1', '3', '5', '7', '9']), frozenset(['11', '24', '13', '12', '20', '28', '29', '0', '4', '6', '15', '8']), frozenset(['24', '10', '26', '22', '17', '19', '28', '13', '2', '5', '11', '8']), frozenset(['11', '27', '15', '22', '23', '19', '28', '0', '2', '4', '6', '8']), frozenset(['11', '13', '27', '15', '22', '19', '28', '26', '0', '2', '4', '7']), frozenset(['11', '24', '15', '17', '23', '28', '29', '0', '2', '4', '6', '8']), frozenset(['11', '26', '12', '15', '19', '28', '13', '0', '27', '4', '6', '8']), frozenset(['11', '25', '26', '20', '17', '19', '18', '6', '0', '2', '4', '24']), frozenset(['24', '13', '20', '22', '17', '16', '19', '28', '0', '2', '5', '8']), frozenset(['24', '10', '17', '23', '18', '16', '29', '1', '3', '5', '25', '9']), frozenset(['26', '20', '14', '22', '13', '0', '2', '17', '21', '6', '15', '8']), frozenset(['11', '25', '12', '14', '23', '18', '29', '0', '3', '27', '5', '7']), frozenset(['11', '24', '13', '20', '22', '28', '26', '2', '4', '7', '9', '15']), frozenset(['25', '26', '20', '21', '17', '19', '13', '0', '2', '4', '6', '8']), frozenset(['10', '21', '17', '23', '18', '29', '1', '3', '25', '6', '9', '14']), frozenset(['11', '10', '24', '17', '22', '23', '19', '28', '2', '4', '6', '8']), frozenset(['24', '11', '26', '12', '15', '19', '28', '0', '3', '8', '6', '20']), frozenset(['12', '20', '14', '16', '18', '29', '1', '3', '7', '9', '15', '21']), frozenset(['11', '10', '12', '14', '23', '28', '29', '3', '27', '5', '7', '9']), frozenset(['10', '26', '27', '21', '22', '18', '1', '3', '5', '7', '9', '14']), frozenset(['24', '13', '15', '17', '16', '28', '29', '20', '0', '2', '4', '8']), frozenset(['26', '15', '22', '17', '19', '18', '0', '2', '4', '6', '20', '21']), frozenset(['24', '25', '12', '23', '18', '29', '3', '5', '7', '11', '9', '10']), frozenset(['11', '26', '15', '17', '22', '28', '0', '3', '8', '6', '20', '14']), frozenset(['11', '24', '15', '22', '17', '23', '19', '18', '0', '2', '4', '6']), frozenset(['25', '12', '20', '14', '16', '18', '29', '0', '3', '5', '7', '21']), frozenset(['24', '11', '15', '17', '22', '23', '19', '28', '0', '3', '6', '8']), frozenset(['27', '15', '21', '22', '16', '18', '23', '1', '3', '7', '9', '14']), frozenset(['25', '13', '27', '14', '16', '29', '10', '2', '5', '7', '9', '21']), frozenset(['11', '13', '20', '14', '17', '28', '29', '0', '2', '8', '6', '15']), frozenset(['11', '25', '13', '20', '17', '19', '26', '0', '2', '5', '24', '8']), frozenset(['26', '15', '22', '17', '19', '13', '1', '4', '21', '6', '20', '8']), frozenset(['24', '10', '26', '17', '22', '11', '28', '13', '2', '4', '6', '9']), frozenset(['24', '13', '15', '22', '17', '16', '19', '28', '20', '1', '4', '8']), frozenset(['11', '25', '13', '20', '17', '6', '29', '0', '2', '4', '24', 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'27', '15', '21', '22', '19', '13', '0', '2', '4', '6', '8']), frozenset(['24', '10', '26', '22', '17', '19', '28', '13', '1', '4', '6', '8']), frozenset(['25', '13', '12', '20', '14', '16', '29', '1', '5', '7', '9', '21']), frozenset(['11', '25', '26', '12', '14', '10', '18', '3', '27', '5', '7', '9']), frozenset(['25', '12', '21', '23', '19', '18', '16', '1', '27', '4', '7', '10']), frozenset(['25', '20', '14', '17', '16', '18', '29', '1', '3', '5', '9', '21']), frozenset(['10', '21', '17', '16', '23', '29', '1', '3', '5', '25', '8', '14']), frozenset(['25', '14', '17', '16', '18', '23', '29', '2', '5', '21', '9', '10']), frozenset(['13', '15', '22', '17', '16', '19', '20', '0', '2', '4', '8', '21']), frozenset(['10', '26', '12', '21', '25', '18', '1', '3', '27', '6', '9', '14']), frozenset(['24', '13', '15', '22', '16', '19', '28', '0', '2', '4', '7', '20']), frozenset(['25', '27', '21', '16', '18', '23', '29', '0', '2', '5', '7', '14']), frozenset(['24', '13', '12', '15', '19', '28', '26', '1', '4', '6', '20', '8'])]) Number of choices before : 2784 Number of choices after : 2694 * orbit 13 * ['24', '11', '26', '20', '22', '19', '18', '0', '2', '5', '7'] length : 11 number of isomorph solutions 360 isormorh solutions set([frozenset(['25', '20', '14', '17', '16', '29', '1', '3', '5', '8', '21']), frozenset(['11', '25', '27', '14', '23', '18', '29', '2', '6', '9', '10']), frozenset(['24', '10', '22', '16', '19', '18', '23', '1', '3', '5', '7']), frozenset(['15', '14', '17', '23', '18', '16', '22', '1', '3', '9', '21']), frozenset(['10', '13', '27', '14', '22', '16', '28', '1', '5', '7', '9']), frozenset(['11', '15', '17', '22', '23', '28', '0', '3', '6', '8', '14']), frozenset(['10', '26', '12', '14', '28', '13', '1', '27', '5', '7', '9']), frozenset(['25', '13', '12', '20', '14', '16', '29', '0', '5', '7', '21']), frozenset(['26', '15', '17', '22', '19', '18', '0', '3', '6', '20', '21']), frozenset(['24', '26', '20', '22', '17', '19', '28', '1', '3', '5', '8']), frozenset(['11', '26', '12', '15', '19', '28', '0', '3', '27', '6', '8']), frozenset(['10', '26', '14', '22', '18', '1', '3', '5', '17', '9', '21']), frozenset(['24', '15', '22', '17', '16', '19', '18', '23', '0', '2', '4']), frozenset(['11', '10', '27', '14', '23', '28', '29', '3', '12', '5', '8']), frozenset(['24', '10', '13', '17', '6', '28', '29', '2', '4', '11', '9']), frozenset(['25', '12', '20', '21', '16', '19', '18', '0', '3', '5', '7']), frozenset(['11', '10', '26', '17', '25', '24', '13', '2', '4', '6', '9']), frozenset(['24', '13', '15', '22', '16', '19', '28', '1', '4', '7', '20']), frozenset(['11', '10', '13', '12', '14', '28', '29', '27', '5', '7', '9']), frozenset(['11', '25', '26', '20', '17', '19', '0', '3', '5', '24', '8']), frozenset(['11', '25', '13', '20', '17', '24', '29', '2', '4', '6', '9']), frozenset(['15', '21', '17', '16', '18', '29', '1', '3', '9', '20', '14']), frozenset(['25', '21', '17', '16', '19', '23', '1', '3', '5', '8', '10']), 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frozenset(['11', '24', '26', '20', '22', '19', '28', '0', '3', '5', '7']), frozenset(['10', '13', '27', '14', '22', '16', '2', '5', '7', '9', '21']), frozenset(['11', '25', '12', '20', '18', '29', '3', '5', '7', '24', '9']), frozenset(['27', '15', '21', '23', '18', '16', '29', '0', '12', '4', '7']), frozenset(['24', '25', '17', '23', '18', '29', '3', '5', '11', '9', '10']), frozenset(['24', '10', '13', '12', '16', '28', '29', '1', '5', '7', '9']), frozenset(['25', '26', '27', '21', '10', '13', '1', '12', '6', '9', '14']), frozenset(['11', '27', '15', '22', '23', '19', '28', '0', '3', '6', '8']), frozenset(['25', '27', '21', '23', '19', '18', '16', '2', '4', '7', '10']), frozenset(['24', '12', '15', '16', '18', '23', '29', '1', '4', '7', '9']), frozenset(['11', '25', '26', '27', '14', '18', '0', '3', '12', '5', '7']), frozenset(['11', '25', '17', '23', '24', '29', '0', '2', '4', '6', '8']), frozenset(['10', '26', '27', '21', '25', '18', '1', '12', '4', '6', '9']), frozenset(['25', '27', '21', '23', '18', '29', '2', '4', '6', '9', '10']), frozenset(['11', '10', '26', '27', '22', '19', '28', '13', '2', '5', '8']), frozenset(['24', '25', '26', '20', '17', '19', '18', '0', '3', '6', '11']), frozenset(['24', '11', '26', '12', '15', '19', '18', '0', '3', '6', '20']), frozenset(['11', '10', '26', '17', '22', '24', '18', '2', '4', '6', '9']), frozenset(['11', '10', '24', '22', '17', '23', '19', '28', '3', '6', '8'])]) Number of choices before : 2694 Number of choices after : 2334 * orbit 6 * ['20', '21', '22', '16', '18', '2', '4', '7', '9', '15'] length : 10 number of isomorph solutions 720 isormorh solutions set([frozenset(['20', '21', '22', '16', '18', '2', '4', '7', '9', '15']), frozenset(['26', '20', '14', '22', '18', '0', '3', '5', '17', '21']), frozenset(['26', '27', '15', '14', '22', '28', '13', '1', '7', '9']), frozenset(['26', '12', '15', '21', '19', '18', '1', '3', '6', '20']), frozenset(['24', '12', '15', '23', '28', '29', '1', '3', '6', '8']), frozenset(['25', '26', '20', '21', '17', '18', '2', '6', '9', '14']), frozenset(['24', '12', '20', '16', '19', '28', '0', '3', '5', '7']), frozenset(['11', '10', '23', '28', '29', '2', '4', '7', '24', '9']), frozenset(['26', '27', '15', '21', '22', '18', '0', '2', '7', '14']), frozenset(['13', '27', '15', '14', '22', '16', '28', '2', '7', '9']), frozenset(['27', '15', '21', '22', '16', '23', '0', '2', '8', '14']), frozenset(['10', '26', '21', '17', '19', '22', '1', '3', '5', '8']), frozenset(['27', '15', '21', '16', '19', '23', '0', '12', '4', '8']), frozenset(['24', '10', '22', '17', '16', '19', '18', '23', '1', '4']), frozenset(['10', '26', '27', '19', '28', '1', '3', '12', '6', '8']), frozenset(['24', '25', '13', '12', '20', '16', '19', '1', '4', '7']), frozenset(['11', '10', '17', '23', '28', '29', '3', '5', '24', '8']), frozenset(['27', '15', '21', '22', '16', '19', '23', '1', '4', '8']), frozenset(['10', '13', '27', '21', '22', '19', '26', '2', '5', '7']), frozenset(['25', '21', '17', '16', '19', '23', '0', '2', '5', '8']), frozenset(['24', '25', '20', '17', '16', '29', '0', '3', '5', '8']), frozenset(['25', '26', '12', '20', '21', '19', '13', '1', '4', '7']), frozenset(['13', '20', '14', '22', '16', '28', '1', '7', '9', '15']), frozenset(['24', '25', '26', '20', '17', '18', '1', '3', '6', '9']), frozenset(['13', '12', '20', '14', '16', '28', '29', '0', '5', '8']), frozenset(['24', '10', '17', '16', '23', '28', '29', '2', '5', '8']), frozenset(['24', '13', '12', '20', '16', '28', '29', '0', '5', '7']), frozenset(['13', '27', '14', '16', '28', '29', '0', '2', '5', '8']), frozenset(['26', '12', '15', '14', '13', '1', '27', '6', '8', '21']), frozenset(['24', '25', '26', '17', '10', '19', '18', '3', '5', '11']), frozenset(['13', '20', '14', '17', '16', '28', '29', '2', '5', '9']), frozenset(['25', '26', '20', '14', '17', '18', '0', '3', '6', '21']), frozenset(['24', '12', '15', '16', '28', '29', '1', '3', '8', '20']), frozenset(['13', '27', '14', '22', '16', '28', '0', '2', '5', '7']), frozenset(['11', '10', '13', '27', '28', '29', '2', '4', '7', '9']), frozenset(['11', '26', '27', '14', '22', '28', '0', '3', '5', '7']), frozenset(['25', '13', '27', '21', '10', '29', '2', '4', '6', '8']), frozenset(['24', '11', '12', '23', '19', '18', '4', '6', '25', '10']), frozenset(['25', '13', '14', '17', '10', '29', '2', '6', '8', '21']), frozenset(['13', '27', '15', '21', '22', '16', '19', '1', '4', '7']), frozenset(['15', '14', '22', '16', '18', '0', '2', '7', '20', '21']), frozenset(['11', '25', '13', '20', '14', '29', '0', '2', '5', '7']), frozenset(['24', '15', '22', '16', '18', '23', '2', '4', '7', '9']), frozenset(['11', '24', '12', '15', '18', '29', '4', '7', '9', '20']), frozenset(['24', '10', '13', '12', '25', '26', '1', '4', '6', '9']), frozenset(['26', '12', '15', '14', '28', '1', '3', '6', '9', '20']), frozenset(['25', '13', '20', '21', '17', '16', '19', '1', '5', '8']), frozenset(['24', '22', '16', '19', '23', '28', '0', '3', '5', '7']), frozenset(['10', '14', '22', '16', '23', '28', '2', '5', '17', '8']), frozenset(['24', '10', '13', '22', '16', '28', '2', '5', '7', '9']), frozenset(['24', '13', '20', '16', '28', '29', '2', '5', '7', '9']), frozenset(['15', '21', '17', '18', '29', '1', '4', '6', '9', '20']), frozenset(['24', '25', '13', '12', '20', '16', '29', '0', '4', '7']), frozenset(['11', '25', '26', '27', '10', '18', '2', '4', '6', '9']), frozenset(['10', '26', '27', '21', '22', '19', '1', '3', '6', '8']), frozenset(['10', '13', '27', '22', '16', '19', '28', '2', '5', '7']), frozenset(['20', '14', '17', '16', '28', '29', '0', '3', '5', '8']), frozenset(['24', '25', '13', '20', '17', '16', '29', '1', '4', '9']), frozenset(['11', '24', '12', '23', '18', '29', '0', '4', '6', '25']), frozenset(['24', '20', '17', '16', '28', '29', '1', '3', '9', '15']), frozenset(['25', '14', '17', '23', '29', '0', '2', '6', '8', '21']), frozenset(['10', '21', '22', '16', '19', '23', '1', '17', '8', '4']), frozenset(['10', '13', '27', '28', '29', '1', '12', '4', '6', '8']), frozenset(['25', '13', '20', '21', '16', '29', '0', '2', '4', '7']), frozenset(['15', '14', '17', '16', '23', '28', '29', '0', '3', '8']), frozenset(['25', '21', '17', '23', '19', '18', '2', '4', '6', '10']), frozenset(['11', '25', '26', '12', '20', '14', '0', '3', '5', '8']), frozenset(['13', '12', '15', '21', '16', '19', '1', '4', '7', '20']), frozenset(['10', '13', '27', '21', '25', '26', '2', '4', '6', '9']), frozenset(['11', '10', '26', '27', '25', '19', '3', '12', '6', '8']), frozenset(['11', '13', '12', '15', '14', '28', '29', '27', '6', '9']), frozenset(['11', '10', '13', '14', '17', '25', '29', '2', '5', '8']), frozenset(['12', '15', '14', '28', '29', '20', '1', '3', '6', '8']), frozenset(['11', '10', '27', '14', '22', '23', '28', '3', '6', '8']), frozenset(['24', '26', '20', '22', '19', '18', '1', '3', '5', '7']), frozenset(['11', '25', '12', '23', '19', '0', '3', '5', '24', '8']), frozenset(['11', '10', '27', '22', '23', '19', '28', '2', '5', '7']), frozenset(['11', '10', '13', '27', '19', '28', '26', '12', '5', '7']), frozenset(['11', '26', '15', '14', '22', '18', '3', '7', '9', '20']), frozenset(['11', '10', '26', '27', '14', '22', '28', '3', '5', '8']), frozenset(['24', '26', '12', '15', '28', '1', '3', '7', '9', '20']), frozenset(['11', '15', '14', '17', '18', '29', '3', '6', '9', '20']), frozenset(['24', '26', '12', '20', '28', '13', '1', '5', '7', '9']), frozenset(['24', '25', '26', '20', '17', '19', '18', '1', '3', '5']), frozenset(['24', '10', '13', '17', '16', '19', '1', '5', '25', '8']), frozenset(['25', '12', '21', '23', '19', '0', '27', '4', '6', '8']), frozenset(['27', '22', '16', '19', '23', '28', '0', '3', '5', '8']), frozenset(['11', '27', '15', '23', '28', '29', '0', '12', '4', '7']), frozenset(['15', '21', '17', '23', '18', '16', '29', '0', '2', '4']), frozenset(['20', '14', '17', '18', '29', '2', '6', '9', '15', '21']), frozenset(['24', '25', '17', '16', '18', '23', '29', '0', '2', '4']), frozenset(['24', '15', '17', '16', '18', '23', '29', '2', '4', '9']), frozenset(['15', '14', '17', '16', '18', '29', '0', '2', '20', '21']), frozenset(['11', '25', '27', '23', '19', '18', '0', '2', '4', '7']), frozenset(['26', '27', '15', '21', '22', '18', '0', '3', '6', '14']), frozenset(['11', '26', '27', '22', '19', '18', '0', '3', '5', '7']), frozenset(['24', '12', '15', '16', '19', '28', '1', '3', '7', '20']), frozenset(['11', '26', '20', '14', '22', '18', '0', '3', '5', '7']), frozenset(['26', '20', '14', '22', '13', '2', '5', '7', '9', '21']), frozenset(['11', '25', '27', '23', '19', '12', '4', '6', '8', '10']), frozenset(['11', '25', '27', '23', '18', '29', '0', '2', '4', '6']), frozenset(['24', '25', '20', '17', '16', '18', '29', '2', '4', '9']), frozenset(['13', '12', '20', '14', '16', '29', '15', '0', '8', '21']), frozenset(['11', '27', '15', '23', '18', '29', '2', '4', '6', '9']), frozenset(['13', '15', '21', '17', '16', '29', '1', '4', '9', '20']), frozenset(['11', '25', '14', '17', '23', 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'8']), frozenset(['15', '14', '17', '16', '29', '20', '0', '3', '8', '21']), frozenset(['24', '25', '13', '17', '16', '29', '2', '4', '9', '10']), frozenset(['24', '25', '17', '23', '16', '29', '0', '2', '5', '8']), frozenset(['10', '26', '22', '17', '18', '2', '6', '9', '14', '21']), frozenset(['11', '25', '27', '23', '19', '18', '2', '4', '6', '10']), frozenset(['11', '25', '26', '27', '14', '10', '13', '12', '6', '8']), frozenset(['11', '25', '13', '12', '14', '29', '0', '27', '6', '8']), frozenset(['11', '26', '20', '14', '22', '28', '3', '5', '7', '9']), frozenset(['11', '10', '13', '12', '14', '28', '29', '27', '6', '8']), frozenset(['27', '21', '22', '16', '19', '23', '0', '2', '5', '8']), frozenset(['10', '27', '22', '23', '19', '16', '28', '2', '5', '8']), frozenset(['24', '10', '12', '23', '28', '29', '3', '6', '11', '8']), frozenset(['25', '13', '27', '21', '26', '0', '12', '6', '8', '14']), frozenset(['25', '27', '21', '23', '19', '18', '0', '2', '4', '6']), frozenset(['13', '12', '15', '14', '16', '28', '29', '0', '7', '20']), frozenset(['11', '12', '20', '14', '28', '29', '0', '3', '7', '15']), frozenset(['11', '25', '26', '12', '20', '14', '18', '0', '3', '6']), frozenset(['15', '21', '17', '23', '16', '29', '0', '2', '8', '14']), frozenset(['11', '10', '27', '14', '22', '23', '28', '2', '6', '9']), frozenset(['11', '25', '26', '27', '10', '19', '13', '12', '4', '7']), frozenset(['25', '21', '17', '23', '16', '29', '0', '2', '4', '8']), frozenset(['11', '15', '14', '17', '23', '18', '22', '3', '6', '9']), frozenset(['14', '22', '16', '23', '28', '0', '3', '5', '17', '8']), frozenset(['26', '20', '21', '22', '13', '1', '5', '17', '9', '14']), frozenset(['24', '20', '22', '17', '16', '28', '1', '3', '5', '9']), frozenset(['12', '15', '21', '16', '19', '18', '0', '4', '7', '20']), frozenset(['25', '26', '12', '21', '19', '18', '0', '27', '4', '6']), frozenset(['13', '12', '15', '16', '19', '28', '1', '27', '4', '7']), frozenset(['24', 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frozenset(['11', '25', '26', '27', '19', '18', '0', '2', '5', '7']), frozenset(['24', '17', '22', '16', '19', '18', '23', '0', '3', '5']), frozenset(['24', '12', '15', '16', '19', '23', '28', '1', '3', '8']), frozenset(['26', '20', '21', '22', '18', '0', '3', '7', '15', '14']), frozenset(['24', '10', '26', '22', '17', '18', '1', '3', '6', '9']), frozenset(['22', '17', '16', '19', '18', '23', '0', '2', '5', '21']), frozenset(['11', '25', '26', '20', '14', '17', '18', '3', '6', '9']), frozenset(['27', '15', '22', '16', '19', '23', '28', '1', '4', '7']), frozenset(['11', '26', '27', '15', '14', '28', '0', '3', '12', '7']), frozenset(['26', '20', '14', '22', '28', '13', '1', '5', '7', '9']), frozenset(['13', '27', '15', '21', '16', '19', '0', '12', '4', '7']), frozenset(['11', '10', '13', '27', '14', '28', '29', '2', '6', '9']), frozenset(['25', '26', '20', '14', '17', '0', '3', '5', '8', '21']), frozenset(['20', '21', '22', '16', '19', '18', '0', '2', '5', '7']), frozenset(['25', '13', 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frozenset(['24', '12', '20', '16', '19', '28', '1', '3', '5', '8']), frozenset(['26', '12', '15', '21', '18', '1', '4', '6', '9', '20']), frozenset(['24', '20', '17', '18', '29', '1', '3', '6', '9', '15']), frozenset(['12', '15', '14', '29', '20', '0', '3', '6', '8', '21']), frozenset(['27', '15', '21', '22', '23', '19', '18', '1', '4', '6']), frozenset(['11', '13', '27', '15', '14', '28', '29', '2', '7', '9']), frozenset(['27', '15', '14', '16', '23', '28', '29', '0', '2', '8']), frozenset(['10', '13', '27', '14', '22', '16', '28', '2', '5', '8']), frozenset(['15', '14', '22', '23', '16', '28', '1', '3', '17', '8']), frozenset(['24', '22', '16', '19', '18', '23', '0', '2', '5', '7']), frozenset(['27', '15', '14', '22', '16', '23', '28', '0', '2', '7']), frozenset(['24', '15', '17', '16', '23', '28', '29', '1', '4', '9']), frozenset(['26', '12', '20', '21', '18', '0', '3', '6', '15', '14']), frozenset(['24', '12', '23', '19', '16', '28', '0', '3', '5', '8']), frozenset(['25', '13', '12', '21', '19', '26', '0', '27', '4', '7']), frozenset(['25', '20', '21', '17', '18', '29', '2', '4', '6', '9']), frozenset(['11', '24', '20', '17', '25', '18', '29', '2', '5', '9']), frozenset(['25', '26', '12', '20', '21', '19', '13', '1', '5', '8']), frozenset(['13', '20', '14', '22', '16', '28', '2', '5', '7', '9']), frozenset(['11', '10', '27', '22', '23', '19', '18', '2', '4', '7']), frozenset(['24', '12', '15', '16', '18', '29', '0', '4', '7', '20']), frozenset(['24', '25', '26', '17', '10', '18', '2', '5', '11', '9']), frozenset(['11', '25', '26', '27', '10', '19', '13', '2', '5', '7']), frozenset(['24', '25', '26', '12', '20', '18', '3', '11', '6', '9']), frozenset(['24', '10', '22', '23', '19', '18', '16', '2', '4', '7']), frozenset(['24', '25', '12', '23', '29', '0', '3', '6', '11', '8']), frozenset(['15', '14', '22', '23', '18', '0', '3', '17', '6', '21']), frozenset(['10', '13', '17', '22', '28', '26', '1', '5', '9', '14']), frozenset(['25', '13', '27', '21', '16', '19', '0', '2', '5', '8']), frozenset(['24', '26', '15', '22', '18', '1', '3', '7', '9', '20']), frozenset(['24', '25', '13', '20', '17', '16', '29', '1', '5', '8']), frozenset(['24', '10', '26', '17', '22', '19', '18', '1', '3', '5']), frozenset(['11', '25', '26', '27', '14', '10', '13', '2', '5', '8']), frozenset(['10', '27', '22', '23', '19', '28', '1', '3', '6', '8']), frozenset(['20', '14', '22', '16', '18', '0', '2', '5', '17', '21']), frozenset(['15', '21', '17', '23', '19', '18', '16', '22', '1', '4']), frozenset(['11', '10', '13', '27', '14', '28', '29', '2', '5', '8']), frozenset(['11', '10', '17', '22', '23', '28', '3', '5', '24', '9']), frozenset(['11', '12', '20', '14', '28', '29', '0', '3', '5', '8']), frozenset(['10', '13', '27', '21', '22', '26', '1', '6', '8', '14']), frozenset(['24', '15', '22', '17', '23', '18', '1', '3', '6', '9']), frozenset(['26', '20', '14', '22', '1', '3', '5', '17', '8', '21'])]) Number of choices before : 2334 Number of choices after : 1614 * orbit 7 * ['20', '21', '22', '16', '18', '1', '4', '7', '9', '15'] length : 10 number of isomorph solutions 120 isormorh solutions set([frozenset(['24', '25', '13', '12', '10', '29', '1', '4', '6', '9']), frozenset(['24', '12', '15', '16', '19', '18', '0', '4', '7', '20']), frozenset(['10', '27', '22', '23', '19', '16', '28', '2', '5', '7']), frozenset(['11', '26', '12', '20', '14', '18', '0', '3', '6', '15']), frozenset(['20', '21', '22', '16', '18', '1', '4', '7', '9', '15']), frozenset(['24', '10', '13', '12', '16', '19', '28', '1', '4', '8']), frozenset(['11', '25', '14', '17', '23', '29', '0', '2', '6', '8']), frozenset(['25', '13', '21', '17', '16', '19', '1', '5', '8', '10']), frozenset(['11', '25', '26', '27', '10', '13', '2', '4', '6', '9']), frozenset(['26', '12', '15', '21', '13', '1', '4', '6', '9', '20']), frozenset(['25', '13', '12', '21', '29', '0', '27', '6', '8', '14']), frozenset(['11', '26', '27', '15', '14', '22', '28', '3', '6', '9']), frozenset(['25', '26', '12', '20', '21', '19', '13', '0', '5', '8']), frozenset(['15', '14', '22', '23', '28', '1', '3', '17', '6', '8']), frozenset(['11', '24', '12', '15', '28', '29', '0', '3', '7', '20']), frozenset(['26', '27', '15', '21', '22', '19', '18', '1', '4', '6']), frozenset(['11', '25', '23', '19', '18', '0', '2', '4', '7', '24']), frozenset(['27', '15', '22', '16', '19', '23', '28', '0', '3', '8']), frozenset(['20', '14', '22', '16', '18', '0', '2', '17', '15', '21']), frozenset(['24', '25', '13', '12', '20', '19', '26', '1', '4', '7']), frozenset(['11', '25', '12', '23', '29', '27', '4', '6', '8', '10']), frozenset(['12', '15', '23', '16', '28', '29', '0', '27', '4', '7']), frozenset(['10', '27', '21', '22', '16', '19', '23', '1', '4', '8']), frozenset(['24', '15', '22', '23', '19', '16', '28', '1', '4', '7']), frozenset(['25', '13', '12', '20', '21', '16', '29', '1', '4', '8']), frozenset(['10', '26', '22', '17', '19', '1', '3', '6', '8', '21']), frozenset(['24', '26', '20', '22', '17', '19', '18', '1', '3', '5']), frozenset(['25', '26', '21', '17', '10', '18', '1', '4', '6', '9']), frozenset(['26', '27', '15', '21', '1', '3', '12', '6', '8', '14']), frozenset(['11', '25', '26', '20', '14', '13', '0', '2', '5', '7']), frozenset(['24', '25', '17', '23', '16', '29', '2', '5', '8', '10']), frozenset(['11', '27', '15', '23', '19', '18', '0', '3', '12', '7']), frozenset(['13', '15', '21', '16', '29', '0', '2', '4', '7', '20']), frozenset(['24', '11', '26', '12', '20', '28', '13', '5', '7', '9']), frozenset(['11', '26', '12', '14', '28', '0', '3', '27', '5', '7']), frozenset(['11', '25', '26', '12', '19', '0', '3', '27', '6', '8']), frozenset(['25', '21', '17', '16', '18', '23', '29', '0', '2', '4']), frozenset(['15', '21', '17', '23', '19', '18', '16', '22', '1', '3']), frozenset(['26', '27', '15', '21', '22', '18', '2', '7', '9', '14']), frozenset(['13', '27', '15', '28', '29', '1', '12', '4', '6', '8']), frozenset(['11', '10', '27', '22', '23', '18', '2', '4', '7', '9']), frozenset(['13', '27', '21', '22', '16', '0', '2', '5', '7', '14']), frozenset(['24', '10', '26', '12', '25', '19', '1', '3', '5', '8']), frozenset(['24', '13', '20', '17', '16', '28', '29', '1', '5', '8']), frozenset(['24', '25', '26', '20', '17', '18', '3', '11', '6', '9']), frozenset(['11', '10', '27', '14', '22', '23', '28', '3', '5', '8']), frozenset(['24', '12', '20', '16', '19', '28', '1', '3', '5', '7']), frozenset(['11', '15', '14', '17', '23', '18', '29', '3', '6', '9']), frozenset(['25', '20', '21', '16', '19', '18', '0', '2', '5', '7']), frozenset(['11', '25', '26', '12', '10', '19', '13', '27', '5', '7']), frozenset(['11', '10', '13', '14', '17', '25', '29', '2', '5', '9']), frozenset(['10', '13', '12', '28', '26', '1', '27', '4', '7', '9']), frozenset(['11', '13', '27', '15', '14', '28', '29', '12', '7', '9']), frozenset(['24', '25', '17', '23', '19', '18', '3', '5', '11', '10']), frozenset(['24', '25', '12', '20', '18', '29', '4', '7', '11', '9']), frozenset(['11', '27', '15', '14', '22', '23', '28', '0', '2', '7']), frozenset(['25', '27', '21', '23', '19', '18', '2', '4', '6', '10']), frozenset(['11', '24', '13', '10', '28', '29', '2', '4', '7', '9']), frozenset(['10', '13', '14', '22', '16', '28', '2', '5', '17', '8']), frozenset(['25', '26', '12', '20', '21', '19', '18', '1', '3', '6']), frozenset(['26', '20', '21', '22', '13', '2', '5', '17', '9', '14']), frozenset(['10', '12', '23', '19', '28', '1', '3', '27', '6', '8']), frozenset(['26', '15', '21', '22', '19', '18', '0', '3', '7', '20']), frozenset(['11', '13', '27', '14', '28', '29', '0', '2', '5', '8']), frozenset(['24', '10', '13', '22', '16', '28', '1', '5', '7', '9']), frozenset(['13', '27', '15', '21', '16', '19', '1', '12', '4', '7']), frozenset(['11', '24', '20', '17', '25', '18', '29', '0', '2', '5']), frozenset(['24', '10', '22', '17', '23', '18', '1', '3', '6', '9']), frozenset(['11', '26', '20', '14', '22', '18', '3', '5', '7', '9']), frozenset(['25', '26', '20', '14', '17', '13', '1', '6', '8', '21']), frozenset(['25', '26', '27', '21', '10', '13', '2', '5', '8', '14']), frozenset(['25', '20', '21', '17', '18', '29', '2', '6', '9', '14']), frozenset(['25', '13', '27', '21', '16', '19', '0', '2', '4', '8']), frozenset(['24', '25', '20', '17', '16', '19', '0', '3', '5', '8']), frozenset(['25', '13', '21', '17', '10', '29', '2', '4', '6', '8']), frozenset(['24', '25', '13', '20', '17', '16', '29', '2', '4', '9']), frozenset(['14', '17', '23', '16', '28', '29', '0', '3', '5', '8']), frozenset(['10', '26', '27', '21', '22', '19', '13', '2', '4', '7']), frozenset(['25', '26', '12', '21', '19', '18', '0', '27', '4', '7']), frozenset(['24', '12', '15', '16', '23', '28', '29', '1', '3', '8']), frozenset(['11', '24', '17', '23', '28', '29', '3', '6', '8', '10']), frozenset(['11', '27', '15', '23', '18', '29', '0', '2', '4', '6']), frozenset(['13', '27', '15', '22', '16', '28', '2', '4', '7', '9']), frozenset(['24', '10', '22', '17', '16', '19', '18', '23', '2', '4']), frozenset(['11', '10', '26', '25', '18', '2', '5', '7', '24', '9']), frozenset(['24', '25', '26', '12', '10', '19', '18', '4', '6', '11']), frozenset(['20', '21', '22', '16', '1', '3', '5', '17', '8', '14']), frozenset(['27', '15', '21', '23', '19', '0', '12', '4', '6', '8']), frozenset(['11', '10', '17', '22', '23', '28', '2', '5', '24', '9']), frozenset(['25', '26', '20', '14', '17', '18', '0', '3', '5', '21']), frozenset(['24', '10', '17', '25', '19', '23', '1', '4', '6', '8']), frozenset(['12', '15', '14', '28', '29', '1', '3', '6', '9', '20']), frozenset(['26', '15', '14', '22', '28', '13', '1', '7', '9', '20']), frozenset(['11', '26', '27', '22', '19', '18', '0', '2', '5', '7']), frozenset(['10', '26', '22', '17', '28', '1', '3', '5', '9', '14']), frozenset(['24', '22', '16', '19', '18', '23', '0', '3', '5', '7']), frozenset(['11', '10', '26', '17', '22', '18', '2', '6', '9', '14']), frozenset(['24', '10', '17', '16', '23', '28', '29', '1', '4', '9']), frozenset(['24', '15', '17', '18', '29', '1', '4', '6', '9', '20']), frozenset(['20', '21', '17', '29', '15', '0', '3', '6', '8', '14']), frozenset(['27', '15', '14', '23', '16', '29', '0', '2', '8', '21']), frozenset(['11', '24', '12', '23', '18', '29', '0', '3', '25', '6']), frozenset(['13', '20', '14', '16', '28', '29', '2', '5', '7', '9']), frozenset(['24', '25', '13', '12', '20', '16', '29', '0', '5', '7']), frozenset(['21', '17', '23', '19', '22', '0', '16', '2', '5', '8']), frozenset(['10', '26', '27', '21', '22', '13', '1', '6', '9', '14']), frozenset(['24', '10', '26', '22', '19', '28', '3', '5', '7', '11']), frozenset(['11', '10', '26', '12', '14', '28', '13', '27', '6', '8']), frozenset(['27', '15', '21', '22', '23', '18', '0', '3', '6', '14']), frozenset(['24', '15', '16', '18', '23', '29', '2', '4', '7', '9']), frozenset(['24', '15', '22', '17', '16', '28', '1', '3', '9', '20']), frozenset(['15', '21', '17', '23', '18', '22', '2', '4', '6', '9']), frozenset(['24', '11', '12', '15', '23', '28', '29', '4', '6', '9']), frozenset(['10', '26', '27', '22', '19', '28', '13', '1', '5', '8']), frozenset(['11', '24', '12', '23', '19', '28', '0', '3', '5', '8']), frozenset(['11', '25', '12', '20', '14', '29', '0', '3', '5', '8']), frozenset(['11', '10', '27', '14', '23', '28', '29', '2', '6', '9']), frozenset(['13', '12', '15', '14', '16', '28', '29', '20', '0', '8']), frozenset(['13', '20', '21', '17', '16', '29', '1', '9', '15', '14']), frozenset(['24', '26', '12', '20', '18', '1', '3', '7', '9', '15'])]) Number of choices before : 1614 Number of choices after : 1494 * orbit 9 * ['25', '21', '17', '16', '19', '23', '2', '4', '8', '10'] length : 10 number of isomorph solutions 72 isormorh solutions set([frozenset(['24', '10', '12', '23', '28', '29', '1', '4', '6', '8']), frozenset(['11', '27', '22', '23', '19', '28', '0', '3', '5', '7']), frozenset(['13', '27', '15', '14', '16', '28', '29', '0', '2', '7']), frozenset(['25', '21', '17', '16', '19', '23', '2', '4', '8', '10']), frozenset(['11', '13', '12', '20', '14', '28', '29', '0', '5', '7']), frozenset(['24', '12', '15', '23', '19', '16', '28', '0', '3', '7']), frozenset(['24', '25', '26', '12', '20', '18', '1', '4', '6', '9']), frozenset(['12', '15', '23', '19', '16', '28', '1', '27', '4', '8']), frozenset(['25', '27', '21', '23', '29', '0', '2', '4', '6', '8']), frozenset(['26', '12', '15', '21', '19', '18', '1', '4', '7', '20']), frozenset(['11', '25', '26', '27', '10', '19', '18', '2', '4', '7']), frozenset(['10', '26', '27', '14', '22', '28', '1', '3', '6', '8']), frozenset(['11', '27', '15', '23', '28', '29', '2', '4', '7', '9']), frozenset(['11', '24', '12', '20', '18', '29', '3', '6', '9', '15']), frozenset(['11', '25', '17', '23', '29', '0', '3', '5', '24', '8']), frozenset(['11', '25', '13', '27', '14', '26', '0', '12', '5', '8']), frozenset(['11', '27', '15', '14', '22', '23', '18', '2', '6', '9']), frozenset(['24', '25', '17', '23', '19', '18', '16', '0', '2', '5']), frozenset(['25', '13', '20', '21', '17', '29', '1', '4', '6', '9']), frozenset(['25', '26', '12', '20', '21', '0', '3', '6', '8', '14']), frozenset(['10', '13', '21', '17', '25', '26', '2', '6', '9', '14']), frozenset(['11', '10', '26', '27', '19', '28', '3', '12', '5', '8']), frozenset(['24', '25', '13', '12', '20', '16', '19', '1', '5', '8']), frozenset(['10', '13', '21', '22', '26', '1', '5', '17', '8', '14']), frozenset(['11', '10', '13', '12', '28', '29', '27', '4', '6', '9']), frozenset(['25', '13', '27', '21', '19', '26', '0', '2', '5', '7']), frozenset(['11', '25', '26', '20', '14', '17', '18', '2', '5', '9']), frozenset(['24', '10', '22', '16', '23', '28', '2', '4', '7', '9']), frozenset(['11', '26', '27', '15', '14', '22', '18', '0', '3', '7']), frozenset(['11', '10', '14', '22', '23', '28', '3', '17', '6', '9']), frozenset(['11', '25', '27', '23', '19', '18', '0', '12', '4', '6']), frozenset(['15', '14', '17', '16', '28', '29', '1', '3', '8', '20']), frozenset(['10', '26', '27', '21', '22', '18', '2', '4', '6', '9']), frozenset(['10', '13', '27', '22', '16', '19', '28', '1', '4', '7']), frozenset(['27', '15', '21', '22', '23', '19', '1', '3', '6', '8']), frozenset(['25', '26', '20', '21', '17', '19', '1', '3', '5', '8']), frozenset(['24', '10', '13', '17', '16', '28', '29', '2', '5', '9']), frozenset(['13', '12', '15', '21', '29', '1', '8', '6', '20', '14']), frozenset(['11', '25', '13', '27', '14', '10', '29', '2', '6', '8']), frozenset(['20', '21', '17', '16', '18', '29', '2', '4', '9', '15']), frozenset(['13', '12', '15', '14', '28', '26', '1', '27', '6', '9']), frozenset(['24', '10', '13', '12', '19', '28', '26', '1', '5', '7']), frozenset(['26', '27', '15', '21', '22', '13', '1', '4', '7', '9']), frozenset(['24', '25', '26', '12', '10', '13', '4', '7', '11', '9']), frozenset(['24', '25', '20', '16', '18', '29', '0', '2', '4', '7']), frozenset(['24', '15', '22', '16', '19', '18', '1', '3', '7', '20']), frozenset(['10', '13', '27', '21', '22', '16', '19', '2', '5', '8']), frozenset(['11', '25', '20', '14', '17', '18', '29', '0', '3', '6']), frozenset(['24', '10', '26', '22', '17', '18', '3', '5', '11', '9']), frozenset(['15', '21', '22', '23', '16', '0', '3', '17', '8', '14']), frozenset(['11', '25', '13', '20', '29', '2', '5', '7', '24', '9']), frozenset(['13', '12', '15', '21', '16', '29', '0', '27', '4', '8']), frozenset(['24', '25', '12', '23', '19', '3', '6', '11', '8', '10']), frozenset(['11', '24', '12', '15', '23', '18', '29', '0', '4', '7']), frozenset(['11', '10', '14', '17', '23', '28', '29', '2', '5', '8']), frozenset(['24', '26', '20', '22', '28', '1', '3', '5', '7', '9']), frozenset(['11', '24', '22', '10', '19', '18', '23', '2', '5', '7']), frozenset(['24', '12', '20', '16', '28', '29', '0', '3', '5', '8']), frozenset(['24', '25', '26', '17', '10', '19', '18', '1', '3', '6']), frozenset(['13', '20', '14', '22', '16', '28', '1', '5', '17', '9']), frozenset(['24', '10', '13', '17', '16', '29', '1', '25', '8', '4']), frozenset(['15', '14', '17', '23', '18', '29', '0', '2', '6', '21']), frozenset(['11', '26', '12', '20', '14', '28', '3', '7', '9', '15']), frozenset(['10', '21', '17', '23', '19', '18', '22', '1', '4', '6']), frozenset(['24', '15', '17', '22', '16', '18', '23', '1', '4', '9']), frozenset(['27', '14', '22', '23', '16', '28', '0', '2', '5', '8']), frozenset(['20', '21', '17', '16', '19', '18', '22', '0', '3', '5']), frozenset(['26', '20', '14', '22', '18', '0', '2', '5', '7', '21']), frozenset(['25', '13', '12', '20', '21', '16', '19', '0', '4', '7']), frozenset(['13', '20', '21', '22', '16', '2', '7', '9', '15', '14']), frozenset(['26', '12', '15', '21', '19', '18', '0', '3', '27', '6']), frozenset(['24', '15', '17', '23', '28', '29', '1', '3', '6', '9'])]) Number of choices before : 1494 Number of choices after : 1422 * orbit 12 * ['25', '13', '27', '21', '29', '0', '2', '4', '6', '8'] length : 10 number of isomorph solutions 720 isormorh solutions set([frozenset(['25', '26', '27', '21', '19', '18', '0', '2', '5', '7']), frozenset(['10', '26', '12', '14', '28', '1', '3', '27', '6', '8']), frozenset(['25', '13', '27', '21', '29', '0', '2', '4', '6', '8']), frozenset(['24', '26', '15', '22', '19', '18', '1', '3', '7', '20']), frozenset(['10', '26', '27', '14', '22', '28', '13', '1', '6', '8']), frozenset(['10', '12', '23', '28', '29', '1', '27', '4', '6', '8']), frozenset(['15', '22', '17', '16', '18', '2', '4', '9', '20', '21']), frozenset(['11', '25', '20', '14', '17', '29', '0', '3', '6', '8']), frozenset(['10', '26', '27', '19', '28', '13', '1', '12', '5', '7']), frozenset(['25', '21', '17', '16', '19', '18', '23', '2', '4', '10']), frozenset(['10', '27', '14', '22', '16', '23', '28', '2', '5', '8']), frozenset(['20', '17', '22', '16', '19', '18', '0', '3', '15', '21']), frozenset(['15', '21', '22', '16', '19', '18', '1', '3', '7', '20']), frozenset(['11', '25', '26', '12', '14', '13', '0', '27', '6', '8']), frozenset(['11', '25', '13', '12', '14', '10', '29', '27', '6', '8']), frozenset(['24', '20', '17', '16', '18', '29', '2', '4', '9', '15']), frozenset(['13', '15', '21', '22', '16', '2', '4', '7', '9', '20']), frozenset(['11', '24', '26', '12', '20', '28', '3', '7', '9', '15']), frozenset(['24', '25', '13', '20', '17', '16', '19', '1', '5', '8']), frozenset(['24', '10', '26', '12', '28', '13', '1', '5', '7', '9']), frozenset(['13', '27', '15', '21', '22', '26', '1', '7', '9', '14']), frozenset(['27', '15', '21', '22', '23', '19', '0', '3', '6', '8']), frozenset(['11', '25', '14', '17', '23', '29', '2', '5', '8', '10']), frozenset(['10', '21', '17', '23', '18', '22', '1', '4', '6', '9']), frozenset(['13', '12', '15', '14', '29', '1', '6', '9', '20', '21']), frozenset(['13', '20', '21', '22', '16', '1', '7', '9', '15', '14']), frozenset(['26', '27', '15', '14', '22', '28', '13', '1', '6', '9']), frozenset(['24', '15', '17', '23', '28', '29', '1', '4', '6', '9']), frozenset(['11', '26', '27', '15', '14', '22', '18', '0', '3', '6']), frozenset(['26', '27', 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'18', '1', '12', '4', '7']), frozenset(['11', '25', '26', '20', '14', '17', '18', '3', '5', '9']), frozenset(['11', '10', '22', '17', '23', '18', '3', '5', '24', '9']), frozenset(['11', '25', '13', '20', '17', '29', '2', '5', '24', '9']), frozenset(['12', '15', '21', '23', '16', '29', '0', '27', '4', '8']), frozenset(['26', '20', '14', '22', '28', '1', '3', '5', '7', '9']), frozenset(['11', '13', '12', '20', '14', '28', '29', '5', '7', '9']), frozenset(['11', '26', '27', '15', '14', '22', '28', '0', '3', '7']), frozenset(['25', '27', '14', '23', '29', '0', '2', '6', '8', '21']), frozenset(['24', '15', '17', '16', '28', '29', '20', '1', '3', '8']), frozenset(['11', '26', '12', '15', '14', '18', '3', '7', '9', '20']), frozenset(['15', '14', '22', '23', '16', '0', '2', '17', '8', '21']), frozenset(['25', '26', '20', '21', '17', '19', '1', '3', '6', '8']), frozenset(['24', '10', '17', '23', '19', '18', '1', '3', '25', '6']), frozenset(['11', '10', '13', '12', '14', '28', '29', '27', '6', '9']), frozenset(['25', '27', '21', '23', '19', '0', '2', '4', '6', '8']), frozenset(['25', '26', '14', '17', '10', '18', '2', '6', '9', '21']), frozenset(['24', '25', '26', '12', '10', '19', '13', '1', '5', '7']), frozenset(['11', '25', '20', '14', '17', '18', '29', '0', '2', '6']), frozenset(['11', '25', '27', '23', '19', '18', '2', '4', '7', '10']), frozenset(['11', '25', '13', '27', '19', '26', '0', '2', '5', '7']), frozenset(['10', '27', '21', '22', '23', '19', '1', '3', '6', '8']), frozenset(['24', '26', '12', '15', '19', '18', '1', '4', '7', '20']), frozenset(['24', '10', '26', '17', '22', '18', '1', '3', '5', '9']), frozenset(['11', '10', '14', '22', '23', '18', '3', '17', '6', '9']), frozenset(['15', '14', '17', '23', '18', '16', '29', '0', '2', '21']), frozenset(['24', '10', '13', '22', '16', '28', '2', '4', '7', '9']), frozenset(['10', '13', '21', '17', '16', '29', '1', '25', '8', '4']), frozenset(['13', '20', '14', '22', '16', '28', '1', '5', '17', '8']), frozenset(['11', '10', '27', '23', '28', '29', '12', '4', '6', '9']), frozenset(['25', '26', '20', '21', '17', '13', '2', '6', '9', '14']), frozenset(['11', '27', '15', '23', '28', '29', '2', '4', '6', '9'])]) Number of choices before : 1422 Number of choices after : 702 * orbit 4 * ['24', '25', '26', '12', '20', '19', '18', '1', '3', '5', '7'] length : 11 number of isomorph solutions 180 isormorh solutions set([frozenset(['11', '27', '15', '14', '23', '28', '29', '0', '2', '6', '8']), frozenset(['12', '15', '21', '23', '19', '18', '16', '0', '27', '4', '7']), frozenset(['12', '15', '14', '23', '28', '29', '1', '3', '27', '6', '8']), frozenset(['24', '25', '26', '12', '20', '19', '18', '1', '3', '5', '7']), frozenset(['11', '25', '14', '17', '23', '18', '29', '2', '6', '9', '10']), frozenset(['13', '12', '15', '14', '16', '28', '29', '1', '7', '9', '20']), frozenset(['24', '13', '15', '17', '16', '28', '29', '1', '4', '9', '20']), frozenset(['25', '13', '12', '21', '10', '29', '1', '27', '4', '6', '8']), frozenset(['11', '25', '12', '14', '23', '29', '0', '3', '27', '6', '8']), frozenset(['24', '25', '26', '12', '20', '19', '0', '3', '5', '11', '8']), frozenset(['10', '26', '27', '21', '25', '19', '18', '1', '12', '4', '6']), frozenset(['11', '10', '26', '14', '22', '28', '13', '2', '5', '17', '9']), frozenset(['24', '13', '15', '16', '28', '29', '2', '4', '7', '9', '20']), frozenset(['11', '10', '26', '27', '14', '22', '28', '13', '2', '6', '9']), frozenset(['24', '13', '12', '15', '16', '28', '29', '20', '1', '4', '8']), frozenset(['26', '15', '21', '17', '19', '18', '22', '1', '3', '6', '20']), frozenset(['24', '10', '17', '22', '16', '23', '28', '1', '3', '5', '9']), frozenset(['20', '14', '17', '18', '29', '1', '3', '6', '9', '15', '21']), frozenset(['24', '10', '26', '17', '22', '19', '28', '1', '3', '5', '8']), frozenset(['25', '13', '12', '21', '19', '26', '0', '27', '4', '6', '8']), frozenset(['24', '25', '26', '12', '10', '19', '18', '3', '5', '7', '11']), frozenset(['25', '27', '21', '16', '19', '18', '23', '0', '2', '4', '7']), frozenset(['13', '12', '15', '21', '16', '29', '1', '4', '7', '9', '20']), frozenset(['24', '10', '17', '25', '18', '23', '29', '1', '4', '6', '9']), frozenset(['24', '26', '12', '15', '28', '13', '1', '4', '7', '9', '20']), frozenset(['25', '13', '20', '14', '16', '29', '0', '2', '5', '7', '21']), frozenset(['13', '20', '14', '22', '16', '0', '2', '5', '17', '8', '21']), frozenset(['13', '20', '14', '17', '16', '28', '29', '0', '2', '5', '8']), frozenset(['12', '15', '21', '23', '29', '0', '3', '27', '6', '8', '14']), frozenset(['11', '24', '26', '12', '20', '19', '28', '0', '3', '5', '7']), frozenset(['11', '24', '20', '17', '25', '18', '29', '2', '4', '6', '9']), frozenset(['11', '24', '12', '15', '23', '28', '29', '0', '3', '6', '8']), frozenset(['26', '12', '15', '14', '18', '1', '3', '6', '9', '20', '21']), frozenset(['27', '15', '21', '22', '16', '18', '23', '2', '4', '7', '9']), frozenset(['25', '13', 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'9']), frozenset(['26', '15', '14', '22', '21', '1', '3', '17', '6', '20', '8']), frozenset(['11', '10', '26', '22', '28', '13', '2', '5', '7', '24', '9']), frozenset(['11', '25', '26', '27', '14', '10', '13', '2', '5', '7', '9']), frozenset(['11', '13', '27', '15', '14', '22', '28', '26', '2', '7', '9']), frozenset(['11', '27', '15', '14', '23', '28', '29', '0', '3', '12', '7']), frozenset(['26', '27', '15', '21', '19', '13', '1', '12', '4', '6', '8']), frozenset(['24', '13', '12', '15', '16', '28', '29', '0', '4', '7', '20']), frozenset(['10', '13', '12', '21', '25', '26', '1', '27', '4', '6', '9']), frozenset(['11', '10', '13', '27', '22', '19', '28', '26', '2', '5', '7']), frozenset(['27', '15', '21', '22', '23', '19', '18', '0', '2', '4', '6']), frozenset(['25', '26', '12', '20', '21', '19', '18', '0', '3', '5', '7']), frozenset(['10', '26', '12', '19', '28', '13', '1', '27', '4', '6', '8']), frozenset(['11', '27', '15', '23', '19', '28', '0', '3', '12', '6', '8']), frozenset(['24', '10', '13', '12', '16', '28', '29', '1', '4', '7', '9']), frozenset(['24', '25', '26', '17', '10', '11', '18', '2', '4', '6', '9']), frozenset(['24', '13', '12', '15', '16', '19', '28', '1', '4', '7', '20']), frozenset(['26', '15', '21', '17', '18', '22', '1', '4', '6', '9', '20']), frozenset(['11', '10', '26', '27', '14', '22', '28', '3', '5', '7', '9']), frozenset(['27', '15', '22', '16', '19', '23', '28', '0', '2', '4', '7']), frozenset(['24', '13', '12', '15', '28', '29', '1', '4', '6', '9', '20']), frozenset(['24', '15', '22', '16', '19', '18', '23', '0', '2', '4', '7']), frozenset(['26', '27', '15', '21', '22', '18', '1', '3', '6', '9', '14']), frozenset(['25', '26', '12', '20', '21', '19', '13', '1', '4', '6', '8']), frozenset(['10', '14', '22', '16', '23', '28', '1', '3', '5', '17', '8']), frozenset(['15', '14', '22', '16', '18', '1', '3', '17', '9', '20', '21']), frozenset(['13', '27', '15', '21', '22', '16', '19', '0', '2', '4', '7']), frozenset(['11', '25', '26', '12', '19', '18', '0', '3', '27', '5', '7']), frozenset(['11', '26', '15', '14', '17', '18', '22', '3', '6', '9', '20']), frozenset(['11', '12', '15', '14', '23', '28', '29', '3', '27', '6', '9']), frozenset(['26', '20', '14', '22', '18', '1', '3', '5', '17', '9', '21']), frozenset(['25', '20', '14', '17', '16', '18', '29', '0', '2', '5', '21']), frozenset(['25', '13', '12', '21', '16', '19', '1', '27', '4', '8', '10']), frozenset(['24', '12', '15', '16', '18', '29', '1', '4', '7', '9', '20']), frozenset(['24', '12', '15', '16', '28', '29', '1', '3', '7', '9', '20']), frozenset(['10', '26', '27', '21', '25', '19', '13', '1', '12', '5', '8']), frozenset(['24', '20', '22', '17', '16', '19', '28', '1', '3', '5', '8']), frozenset(['24', '25', '12', '20', '16', '19', '18', '0', '3', '5', '7']), frozenset(['25', '12', '21', '23', '19', '1', '27', '4', '6', '8', '10']), frozenset(['24', '25', '13', '17', '10', '11', '29', '2', '4', '6', '9']), frozenset(['25', '13', '20', '21', '17', '16', '19', '0', '2', '5', '8']), frozenset(['26', '27', '15', '21', '22', '19', '18', '0', '2', '4', '7']), frozenset(['11', '24', '13', '12', '20', '28', '29', '4', '7', '9', '15']), frozenset(['11', '25', '13', '20', '14', '17', '29', '0', '2', '5', '8']), frozenset(['24', '15', '22', '17', '16', '19', '23', '28', '1', '3', '8']), frozenset(['24', '25', '17', '16', '19', '23', '1', '3', '5', '8', '10']), frozenset(['25', '13', '14', '17', '16', '29', '2', '5', '21', '8', '10']), frozenset(['10', '21', '17', '25', '18', '23', '29', '2', '4', '6', '9']), frozenset(['11', '27', '15', '22', '23', '19', '18', '0', '2', '4', '7']), frozenset(['24', '10', '22', '16', '19', '23', '28', '1', '3', '5', '7']), frozenset(['27', '15', '14', '22', '16', '18', '23', '0', '2', '7', '21']), frozenset(['15', '14', '22', '23', '18', '1', '3', '17', '6', '9', '21']), frozenset(['11', '10', '13', '27', '14', '28', '29', '2', '5', '7', '9']), frozenset(['10', '13', '27', '21', '22', '19', '26', '1', '4', '6', '8'])]) Number of choices before : 702 Number of choices after : 522 * orbit 10 * ['10', '26', '27', '22', '19', '28', '1', '3', '5', '7'] length : 10 number of isomorph solutions 360 isormorh solutions set([frozenset(['10', '26', '12', '14', '28', '13', '1', '27', '5', '8']), frozenset(['11', '27', '15', '22', '23', '19', '18', '0', '3', '6']), frozenset(['24', '25', '20', '17', '16', '19', '18', '1', '3', '5']), frozenset(['10', '26', '27', '22', '19', '28', '1', '3', '5', '7']), frozenset(['11', '25', '27', '23', '18', '29', '0', '2', '4', '7']), frozenset(['11', '10', '13', '14', '17', '28', '29', '2', '6', '9']), frozenset(['24', '15', '17', '23', '16', '28', '29', '2', '4', '9']), frozenset(['25', '26', '12', '20', '21', '19', '18', '0', '4', '6']), frozenset(['11', '26', '15', '14', '22', '18', '2', '7', '9', '20']), frozenset(['11', '10', '13', '12', '14', '28', '29', '27', '5', '8']), frozenset(['24', '12', '15', '16', '23', '28', '29', '0', '4', '8']), frozenset(['26', '20', '21', '22', '0', '3', '5', '17', '8', '14']), frozenset(['11', '24', '26', '12', '20', '18', '4', '7', '9', '15']), frozenset(['11', '27', '14', '23', '28', '29', '0', '2', '5', '7']), frozenset(['25', '20', '21', '17', '18', '29', '0', '2', '4', '6']), frozenset(['10', '22', '17', '23', '18', '16', '2', '4', '9', '21']), frozenset(['26', '27', '15', '21', '19', '13', '0', '12', '4', '7']), frozenset(['15', '14', '17', '16', '23', '28', '29', '0', '2', '8']), frozenset(['11', '13', '27', '15', '14', '28', '29', '2', '6', '9']), frozenset(['26', '27', '15', '21', '22', '13', '0', '2', '7', '14']), frozenset(['11', '25', '26', '20', '18', '2', '4', '7', '24', '9']), frozenset(['24', '10', '22', '17', '16', '18', '23', '2', '5', '9']), frozenset(['11', '26', '27', '15', '19', '28', '0', '3', '12', '7']), frozenset(['25', '13', '20', '21', '16', '29', '2', '4', '7', '9']), frozenset(['26', '27', '21', '22', '19', '18', '0', '3', '5', '7']), frozenset(['10', '26', '27', '22', '28', '13', '1', '4', '6', '9']), frozenset(['11', '24', '15', '18', '29', '2', '4', '7', '9', '20']), frozenset(['11', '10', '13', '27', '19', '28', '26', '12', '4', '7']), frozenset(['11', '13', '20', '14', '17', '28', '29', '2', '5', '9']), frozenset(['26', '27', '21', '22', '13', '0', '2', '5', '8', '14']), frozenset(['24', '25', '20', '17', '16', '18', '29', '0', '3', '5']), frozenset(['11', '10', '13', '17', '25', '26', '2', '5', '24', '9']), frozenset(['24', '10', '23', '28', '29', '2', '5', '7', '11', '9']), frozenset(['25', '13', '12', '20', '21', '29', '0', '4', '6', '8']), frozenset(['11', '25', '13', '27', '10', '29', '2', '4', '7', '9']), frozenset(['11', '13', '12', '15', '28', '29', '0', '27', '4', '7']), frozenset(['10', '26', '22', '17', '13', '1', '4', '6', '9', '21']), frozenset(['24', '10', '22', '23', '28', '3', '5', '7', '11', '9']), frozenset(['24', '10', '17', '22', '23', '28', '1', '4', '6', '9']), frozenset(['11', '26', '20', '17', '22', '28', '3', '5', '9', '14']), frozenset(['11', '26', '27', '14', '22', '28', '0', '3', '5', '8']), frozenset(['24', '10', '13', '12', '28', '29', '5', '7', '11', '9']), frozenset(['15', '21', '17', '23', '18', '29', '1', '4', '6', '9']), frozenset(['11', '25', '14', '17', '10', '23', '29', '3', '6', '8']), frozenset(['12', '23', '19', '16', '28', '0', '3', '27', '5', '8']), frozenset(['11', '25', '27', '23', '19', '18', '0', '2', '5', '7']), frozenset(['11', '27', '15', '14', '22', '23', '28', '3', '7', '9']), frozenset(['13', '27', '15', '21', '16', '29', '2', '4', '7', '9']), frozenset(['24', '10', '26', '12', '28', '13', '1', '4', '6', '9']), frozenset(['20', '21', '17', '16', '18', '29', '0', '3', '15', '14']), frozenset(['24', '12', '15', '16', '19', '28', '1', '3', '8', '20']), frozenset(['10', '13', '27', '21', '22', '16', '2', '4', '7', '9']), frozenset(['13', '12', '20', '21', '26', '1', '7', '9', '15', '14']), frozenset(['13', '27', '15', '14', '22', '16', '28', '1', '7', '9']), frozenset(['24', '13', '12', '20', '16', '19', '28', '0', '5', '7']), frozenset(['24', '12', '15', '23', '19', '28', '1', '3', '6', '8']), frozenset(['10', '14', '17', '23', '28', '29', '1', '3', '6', '8']), frozenset(['24', '13', '20', '22', '16', '19', '28', '1', '5', '7']), frozenset(['11', '24', '12', '23', '28', '29', '3', '5', '8', '10']), frozenset(['25', '12', '21', '16', '19', '23', '0', '27', '4', '8']), frozenset(['24', '11', '12', '15', '23', '19', '18', '0', '3', '6']), frozenset(['11', '10', '26', '22', '18', '2', '4', '7', '24', '9']), frozenset(['24', '10', '22', '16', '19', '18', '23', '1', '4', '7']), frozenset(['11', '10', '27', '22', '23', '28', '2', '4', '6', '9']), frozenset(['11', '24', '12', '23', '28', '29', '0', '3', '5', '7']), frozenset(['13', '27', '15', '14', '16', '28', '29', '1', '12', '8']), frozenset(['11', '10', '12', '23', '19', '28', '27', '4', '6', '8']), frozenset(['11', '25', '14', '17', '23', '18', '29', '0', '2', '5']), frozenset(['11', '10', '13', '14', '17', '25', 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frozenset(['24', '10', '17', '23', '28', '29', '3', '5', '11', '9']), frozenset(['11', '26', '27', '15', '14', '18', '3', '12', '6', '9']), frozenset(['24', '10', '26', '22', '19', '18', '1', '3', '5', '7']), frozenset(['12', '15', '21', '23', '19', '18', '1', '27', '4', '6']), frozenset(['13', '27', '22', '16', '19', '28', '0', '2', '5', '7']), frozenset(['25', '26', '20', '21', '17', '18', '2', '4', '6', '9']), frozenset(['11', '24', '15', '22', '17', '23', '18', '3', '6', '9']), frozenset(['26', '12', '20', '14', '28', '13', '1', '5', '7', '9']), frozenset(['12', '15', '23', '28', '29', '1', '27', '4', '6', '9']), frozenset(['10', '21', '17', '25', '19', '23', '1', '3', '6', '8']), frozenset(['24', '20', '17', '16', '18', '29', '1', '3', '9', '15']), frozenset(['15', '14', '22', '16', '18', '23', '2', '17', '9', '21']), frozenset(['24', '25', '16', '19', '18', '23', '2', '4', '7', '10']), frozenset(['25', '21', '17', '23', '19', '18', '0', '2', '4', '6']), frozenset(['25', '13', 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'8']), frozenset(['11', '10', '27', '22', '23', '19', '28', '2', '5', '8']), frozenset(['24', '25', '26', '17', '10', '19', '3', '5', '11', '8']), frozenset(['24', '15', '17', '23', '18', '16', '29', '0', '2', '4']), frozenset(['25', '12', '20', '21', '16', '19', '0', '3', '5', '8']), frozenset(['11', '15', '14', '17', '18', '29', '2', '6', '9', '20']), frozenset(['11', '10', '26', '27', '22', '19', '18', '3', '5', '7']), frozenset(['24', '15', '23', '16', '28', '29', '0', '2', '4', '7']), frozenset(['25', '26', '20', '21', '17', '19', '18', '1', '4', '6']), frozenset(['10', '26', '27', '21', '22', '13', '2', '6', '8', '14']), frozenset(['11', '25', '17', '23', '19', '2', '5', '24', '8', '10']), frozenset(['11', '25', '13', '12', '20', '14', '29', '0', '6', '8']), frozenset(['26', '12', '15', '14', '28', '20', '1', '3', '6', '8']), frozenset(['11', '24', '22', '17', '10', '19', '18', '23', '3', '6']), frozenset(['11', '24', '15', '22', '23', '19', '18', '0', '3', '7']), frozenset(['24', '22', '23', '19', '16', '28', '0', '2', '5', '7']), frozenset(['25', '13', '27', '21', '16', '29', '2', '4', '8', '10']), frozenset(['26', '27', '15', '19', '28', '1', '3', '12', '6', '8']), frozenset(['11', '24', '26', '20', '22', '18', '3', '7', '9', '15']), frozenset(['24', '26', '12', '15', '19', '18', '1', '3', '6', '20'])]) Number of choices before : 522 Number of choices after : 162 * orbit 2 * ['24', '11', '26', '20', '17', '22', '19', '28', '0', '3', '8', '6', '15'] length : 13 number of isomorph solutions 30 isormorh solutions set([frozenset(['24', '11', '15', '22', '17', '23', '19', '28', '0', '2', '4', '6', '8']), frozenset(['24', '11', '26', '20', '17', '22', '19', '28', '0', '3', '8', '6', '15']), frozenset(['25', '13', '12', '21', '16', '29', '1', '27', '5', '7', '14', '9', '10']), frozenset(['24', '25', '12', '23', '18', '16', '29', '1', '3', '5', '7', '9', '10']), frozenset(['25', '27', '21', '16', '18', '23', '29', '10', '2', '5', '7', '9', '14']), frozenset(['24', '26', '15', '22', '17', '19', '28', '13', '20', '1', '4', '6', '8']), frozenset(['25', '12', '20', '21', '16', '18', '29', '1', '3', '5', '7', '9', '14']), frozenset(['24', '11', '26', '15', '22', '19', '28', '13', '0', '2', '4', '7', '20']), frozenset(['25', '27', '21', '16', '19', '18', '23', '1', '3', '12', '5', '7', '10']), frozenset(['26', '15', '22', '17', '19', '13', '0', '2', '4', '21', '6', '20', '8']), frozenset(['24', '13', '15', '17', '22', '16', '19', '28', '20', '0', '2', '4', '8']), frozenset(['24', '11', '26', '12', '20', '19', '28', '13', '0', '4', '6', '15', '8']), frozenset(['25', '12', '14', '16', '23', '29', '1', '3', '27', '5', '21', '8', '10']), frozenset(['25', '12', '21', '23', '18', '16', '29', '0', '3', '27', '5', '7', '14']), frozenset(['24', '11', '26', '20', '22', '17', '19', '28', '13', '0', '2', '5', '8']), frozenset(['11', '26', '27', '15', '22', '19', '28', '13', '0', '2', '4', '6', '8']), frozenset(['10', '12', '14', '16', '23', '28', '29', '1', '3', '27', '5', '7', '9']), frozenset(['24', '25', '26', '20', '17', '19', '13', '0', '2', '4', '6', '11', '8']), frozenset(['24', '11', '26', '20', '22', '17', '28', '13', '2', '4', '6', '9', '15']), frozenset(['25', '12', '21', '14', '23', '18', '29', '1', '3', '27', '6', '9', '10']), frozenset(['24', '11', '26', '15', '17', '22', '19', '18', '0', '2', '4', '6', '20']), frozenset(['24', '11', '13', '15', '17', '28', '29', '0', '2', '4', '6', '20', '8']), frozenset(['24', '10', '26', '17', '22', '19', '28', '13', '2', '4', '6', '11', '8']), frozenset(['10', '27', '14', '22', '16', '18', '23', '1', '3', '5', '7', '9', '21']), frozenset(['25', '14', '17', '16', '18', '23', '29', '1', '3', '5', '21', '9', '10']), frozenset(['25', '26', '12', '21', '10', '18', '1', '3', '27', '5', '7', '9', '14']), frozenset(['27', '15', '21', '16', '18', '23', '29', '1', '3', '12', '7', '9', '14']), frozenset(['11', '26', '20', '17', '22', '28', '13', '15', '0', '2', '6', '8', '14']), frozenset(['25', '12', '21', '23', '18', '16', '29', '1', '27', '4', '7', '9', '10']), frozenset(['11', '25', '12', '14', '23', '18', '29', '3', '27', '5', '7', '9', '10'])]) Number of choices before : 162 Number of choices after : 132 * orbit 8 * ['24', '26', '12', '20', '19', '28', '1', '3', '8', '6', '15'] length : 11 number of isomorph solutions 30 isormorh solutions set([frozenset(['27', '15', '14', '22', '16', '23', '28', '1', '3', '7', '9']), frozenset(['11', '24', '13', '12', '20', '25', '29', '0', '4', '6', '8']), frozenset(['11', '24', '26', '20', '22', '18', '2', '4', '7', '9', '15']), frozenset(['11', '25', '26', '27', '14', '10', '18', '3', '12', '6', '9']), frozenset(['24', '13', '20', '22', '16', '19', '28', '0', '2', '5', '7']), frozenset(['24', '26', '12', '20', '19', '28', '1', '3', '8', '6', '15']), frozenset(['10', '26', '27', '21', '22', '19', '18', '1', '3', '5', '7']), frozenset(['11', '26', '20', '14', '22', '28', '0', '3', '5', '17', '8']), frozenset(['13', '15', '22', '17', '16', '19', '20', '1', '4', '8', '21']), frozenset(['25', '12', '21', '16', '19', '23', '0', '3', '27', '5', '8']), frozenset(['12', '20', '14', '16', '18', '29', '0', '3', '7', '15', '21']), frozenset(['25', '26', '12', '20', '14', '13', '1', '5', '7', '9', '21']), frozenset(['25', '26', '20', '21', '17', '19', '18', '0', '2', '4', '6']), frozenset(['24', '15', '17', '23', '16', '28', '29', '0', '2', '4', '8']), frozenset(['10', '13', '27', '14', '16', '28', '29', '1', '12', '5', '8']), frozenset(['12', '15', '21', '23', '18', '29', '1', '27', '4', '6', '9']), frozenset(['26', '27', '15', '21', '22', '13', '0', '2', '6', '8', '14']), frozenset(['10', '14', '17', '16', '18', '23', '22', '2', '5', '9', '21']), frozenset(['24', '25', '12', '16', '19', '18', '23', '1', '4', '7', '10']), frozenset(['24', '25', '20', '17', '16', '18', '29', '1', '3', '5', '9']), frozenset(['11', '13', '20', '14', '17', '28', '29', '2', '6', '9', '15']), frozenset(['25', '13', '27', '21', '10', '16', '29', '2', '4', '7', '9']), frozenset(['11', '10', '27', '22', '23', '19', '28', '2', '4', '6', '8']), frozenset(['11', '26', '27', '15', '19', '28', '13', '0', '12', '4', '7']), frozenset(['24', '10', '26', '17', '22', '28', '13', '1', '4', '6', '9']), frozenset(['24', '25', '26', '17', '10', '19', '13', '2', '5', '11', '8']), frozenset(['24', '11', '15', '22', '17', '23', '19', '18', '0', '3', '6']), frozenset(['25', '14', '17', '23', '29', '1', '3', '21', '6', '8', '10']), frozenset(['11', '25', '27', '14', '23', '18', '29', '0', '2', '5', '7']), frozenset(['11', '10', '12', '23', '28', '29', '3', '5', '7', '24', '9'])]) Number of choices before : 132 Number of choices after : 102 * orbit 11 * ['10', '13', '27', '16', '28', '29', '2', '4', '8'] length : 9 number of isomorph solutions 90 isormorh solutions set([frozenset(['15', '21', '17', '16', '23', '29', '1', '4', '8']), frozenset(['13', '27', '15', '14', '22', '16', '28', '1', '8']), frozenset(['13', '27', '15', '21', '22', '16', '1', '8', '14']), frozenset(['11', '25', '26', '14', '17', '10', '3', '5', '8']), frozenset(['13', '20', '21', '22', '19', '26', '1', '5', '7']), frozenset(['26', '27', '21', '22', '19', '0', '3', '5', '8']), frozenset(['24', '15', '17', '16', '18', '23', '29', '0', '3']), frozenset(['13', '20', '21', '22', '16', '19', '1', '5', '7']), frozenset(['11', '24', '20', '17', '28', '29', '3', '5', '9']), frozenset(['11', '10', '27', '22', '23', '19', '18', '3', '6']), frozenset(['13', '27', '15', '21', '29', '2', '6', '9', '14']), frozenset(['25', '26', '21', '17', '10', '19', '18', '2', '5']), frozenset(['25', '21', '17', '23', '19', '0', '3', '6', '8']), frozenset(['10', '27', '22', '23', '28', '1', '4', '6', '9']), frozenset(['11', '26', '27', '15', '18', '12', '4', '7', '9']), frozenset(['11', '10', '27', '23', '19', '28', '12', '4', '7']), frozenset(['24', '25', '13', '20', '17', '26', '1', '5', '9']), frozenset(['25', '12', '20', '21', '18', '29', '0', '4', '6']), frozenset(['13', '12', '20', '21', '26', '0', '7', '15', '14']), frozenset(['11', '15', '14', '18', '29', '0', '2', '7', '20']), frozenset(['25', '21', '17', '23', '19', '18', '0', '3', '6']), frozenset(['11', '25', '27', '23', '19', '2', '5', '8', '10']), frozenset(['24', '11', '23', '28', '29', '0', '2', '5', '7']), frozenset(['11', '14', '22', '23', '18', '0', '2', '5', '17']), frozenset(['12', '15', '21', '16', '19', '20', '1', '3', '8']), frozenset(['25', '26', '20', '21', '18', '2', '4', '7', '9']), frozenset(['11', '25', '13', '27', '29', '0', '2', '4', '7']), frozenset(['24', '15', '17', '16', '18', '29', '0', '3', '20']), frozenset(['25', '26', '27', '14', '18', '0', '2', '6', '21']), frozenset(['11', '20', '14', '17', '28', '29', '3', '5', '9']), frozenset(['15', '14', '22', '16', '28', '0', '3', '7', '20']), frozenset(['26', '27', '14', '22', '0', '3', '5', '8', '21']), frozenset(['26', '12', '20', '14', '28', '1', '3', '5', '8']), frozenset(['10', '13', '27', '16', '28', '29', '2', '4', '8']), frozenset(['10', '13', '22', '17', '16', '2', '4', '9', '21']), frozenset(['10', '13', '22', '17', '16', '1', '4', '9', '21']), frozenset(['20', '14', '22', '16', '28', '0', '3', '5', '7']), frozenset(['24', '25', '12', '23', '16', '29', '0', '4', '8']), frozenset(['25', '13', '20', '21', '26', '2', '4', '7', '9']), frozenset(['15', '14', '17', '16', '23', '28', '29', '2', '9']), frozenset(['26', '12', '15', '19', '28', '1', '3', '27', '7']), frozenset(['13', '27', '16', '19', '28', '0', '12', '5', '7']), frozenset(['24', '20', '22', '17', '16', '18', '2', '5', '9']), frozenset(['10', '21', '22', '23', '2', '17', '6', '8', '14']), frozenset(['10', '27', '21', '22', '23', '2', '6', '8', '14']), frozenset(['11', '25', '26', '14', '17', '10', '3', '6', '8']), frozenset(['24', '25', '26', '17', '10', '13', '1', '5', '9']), frozenset(['24', '25', '12', '20', '29', '1', '3', '6', '8']), frozenset(['11', '26', '12', '15', '18', '27', '4', '6', '9']), frozenset(['27', '15', '22', '23', '28', '1', '4', '6', '9']), frozenset(['24', '16', '23', '28', '29', '0', '2', '5', '7']), frozenset(['13', '12', '16', '19', '28', '0', '27', '5', '8']), frozenset(['24', '20', '22', '16', '18', '2', '5', '7', '9']), frozenset(['15', '14', '22', '16', '23', '28', '2', '17', '9']), frozenset(['25', '20', '21', '17', '16', '19', '18', '1', '4']), frozenset(['24', '25', '12', '23', '19', '16', '0', '4', '8']), frozenset(['12', '20', '21', '18', '29', '0', '4', '6', '15']), frozenset(['24', '10', '13', '16', '19', '2', '4', '7', '25']), frozenset(['24', '25', '20', '17', '29', '1', '3', '6', '8']), frozenset(['10', '13', '14', '17', '28', '29', '1', '6', '8']), frozenset(['10', '26', '21', '22', '19', '18', '2', '5', '17']), frozenset(['11', '24', '12', '23', '19', '28', '4', '7', '10']), frozenset(['13', '27', '15', '21', '29', '2', '4', '6', '9']), frozenset(['24', '10', '26', '22', '18', '1', '4', '7', '9']), frozenset(['11', '25', '27', '23', '19', '0', '2', '5', '8']), frozenset(['24', '12', '15', '23', '19', '18', '1', '3', '6']), frozenset(['24', '25', '13', '16', '19', '2', '5', '7', '10']), frozenset(['11', '10', '26', '27', '22', '19', '18', '3', '6']), frozenset(['10', '27', '23', '16', '28', '29', '2', '4', '8']), frozenset(['13', '12', '20', '14', '28', '26', '1', '5', '8']), frozenset(['11', '25', '13', '12', '20', '14', '29', '6', '9']), frozenset(['11', '25', '26', '27', '14', '18', '0', '2', '6']), frozenset(['11', '24', '13', '12', '10', '28', '29', '5', '8']), frozenset(['13', '12', '15', '21', '26', '0', '27', '7', '14']), frozenset(['11', '25', '26', '12', '20', '14', '13', '6', '9']), frozenset(['10', '13', '14', '17', '28', '29', '1', '6', '9']), frozenset(['11', '15', '14', '18', '29', '2', '7', '9', '20']), frozenset(['11', '24', '15', '22', '23', '28', '3', '7', '9']), frozenset(['12', '15', '21', '16', '19', '20', '0', '3', '8']), frozenset(['24', '25', '13', '12', '10', '29', '5', '11', '8']), frozenset(['24', '10', '26', '22', '19', '18', '1', '4', '7']), frozenset(['11', '14', '22', '23', '18', '0', '3', '5', '17']), frozenset(['24', '25', '20', '17', '16', '19', '18', '1', '4']), frozenset(['24', '10', '26', '12', '28', '3', '11', '6', '9']), frozenset(['24', '12', '15', '23', '19', '18', '1', '4', '6']), frozenset(['15', '21', '17', '23', '29', '1', '4', '6', '8']), frozenset(['11', '25', '13', '12', '29', '0', '27', '4', '7']), frozenset(['24', '10', '26', '12', '28', '1', '3', '6', '9']), frozenset(['11', '24', '15', '22', '23', '18', '3', '7', '9']), frozenset(['26', '27', '15', '22', '19', '28', '1', '3', '7'])]) Number of choices before : 102 Number of choices after : 12 * orbit 15 * ['24', '11', '13', '20', '17', '22', '19', '28', '26', '0', '2', '4', '6', '15', '8'] length : 15 number of isomorph solutions 2 isormorh solutions set([frozenset(['25', '12', '14', '23', '18', '16', '29', '10', '1', '3', '27', '5', '7', '9', '21']), frozenset(['24', '11', '13', '20', '17', '22', '19', '28', '26', '0', '2', '4', '6', '15', '8'])]) Number of choices before : 12 Number of choices after : 10 * orbit 14 * ['27', '15', '21', '22', '16', '19', '18', '23', '0', '2', '4', '7'] length : 12 number of isomorph solutions 10 isormorh solutions set([frozenset(['24', '13', '12', '15', '16', '28', '29', '1', '4', '7', '9', '20']), frozenset(['11', '12', '15', '14', '23', '28', '29', '0', '3', '27', '6', '8']), frozenset(['11', '10', '26', '27', '14', '22', '28', '13', '2', '5', '7', '9']), frozenset(['25', '13', '12', '21', '10', '19', '26', '1', '27', '4', '6', '8']), frozenset(['11', '25', '26', '12', '20', '19', '18', '0', '3', '5', '7', '24']), frozenset(['26', '20', '14', '22', '18', '1', '3', '17', '6', '9', '15', '21']), frozenset(['25', '13', '20', '21', '17', '16', '29', '0', '2', '5', '8', '14']), frozenset(['11', '25', '17', '23', '24', '18', '29', '2', '4', '6', '9', '10']), frozenset(['24', '10', '17', '22', '23', '19', '16', '28', '1', '3', '5', '8']), frozenset(['27', '15', '21', '22', '16', '19', '18', '23', '0', '2', '4', '7'])]) Number of choices before : 10 Number of choices after : 0 ************************ * allkernelsautong.py * * R.B. August 2005 * ************************