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artin_reps • Show schema
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artin_field_data • Show schema
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{'ArtinReps': [{'GalConj': 1, 'Baselabel': '1.1.1t1.a', 'Character': [[1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '7.319649416647163494229316963315979649024.8t49.a', 'Character': [[7], [-1], [3], [4], [1], [-1], [1], [2], [0], [-1], [0], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '14.1559078209882689245493494614697140610282559830062765743710667828694614016.15t72.a', 'Character': [[14], [6], [2], [-1], [2], [2], [0], [-1], [-1], [0], [0], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '20.498358440296305547915945768279291611673317091127873311770586156604775689950895022342412200521925700854831120384.28t433.a', 'Character': [[20], [4], [4], [5], [-1], [0], [0], [0], [1], [1], [-1], [-1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': 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4, 5, 1, 7, 8, 6]}, {'Size': '1344', 'Order': 15, 'Representative': [3, 1, 4, 5, 2, 7, 8, 6]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1, 1, 1]}, {'Data': 0, 'Classes': 4, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 3]}, {'Data': 0, 'Classes': 3, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 2, 2]}, {'Data': 0, 'Classes': 8, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 5]}, {'Data': 0, 'Classes': 7, 'Algorithm': 'CYC', 'CycleType': [1, 1, 2, 4]}, {'Data': 0, 'Classes': 5, 'Algorithm': 'CYC', 'CycleType': [1, 1, 3, 3]}, {'Data': 0, 'Classes': 9, 'Algorithm': 'CYC', 'CycleType': [1, 2, 2, 3]}, {'Data': [1, 3, 4, 5, 6, 7, 8, 2], 'Classes': [{'RootOf': ['-20596310820875598299136', '1'], 'ConjugacyClass': 12}, {'RootOf': ['20596310820875598299136', '1'], 'ConjugacyClass': 11}], 'Algorithm': 'ALT', 'CycleType': [1, 7]}, {'Data': 0, 'Classes': 2, 'Algorithm': 'CYC', 'CycleType': [2, 2, 2, 2]}, {'Data': 0, 'Classes': 10, 'Algorithm': 'CYC', 'CycleType': [2, 6]}, {'Data': [2, 3, 1, 5, 6, 7, 8, 4], 'Classes': [{'RootOf': ['-20596310820875598299136', '1'], 'ConjugacyClass': 14}, {'RootOf': ['20596310820875598299136', '1'], 'ConjugacyClass': 13}], 'Algorithm': 'ALT', 'CycleType': [3, 5]}, {'Data': 0, 'Classes': 6, 'Algorithm': 'CYC', 'CycleType': [4, 4]}], 'Frobs': [6, 10, 10, 6, 6, 14, 7, 11, 11, 12, 8, 11, 9, 12, 12, 14, 7, 11, 12, 10, 8, 11, 14, 12, 10, 8, 10, 12, 6, 10, 7, 11, 10, 7, 9, 9, 13, 6, 11, 8, 10, 10, 14, 9, 10, 3, 12, 11, 10, 7, 7, 7, 8, 5, 11, 6, 10, 2, 13, 10, 2, 10, 12, 6, 10, 5, 12, 9, 7, 9, 3, 8, 11, 10, 11, 10, 14, 4, 9, 14, 11, 7, 12, 10, 14, 10, 6, 6, 10, 11, 6, 8, 9, 11, 8, 11, 7, 12, 8, 6, 5, 11, 5, 13, 14, 13, 11, 10, 10, 12, 6, 10, 10, 12, 11, 6, 13, 7, 11, 12, 11, 11, 10, 14, 10, 11, 11, 8, 5, 8, 10, 9, 7, 14, 10, 7, 11, 10, 11, 7, 9, 5, 12, 6, 6, 6, 14, 11, 5, 12, 9, 10, 12, 10, 14, 12, 10, 10, 10, 6, 10, 14, 11, 8, 14, 9, 13, 10], 'G-Gens': [[2, 1, 4, 5, 6, 7, 8, 3], [2, 3, 1, 4, 5, 6, 7, 8]], 'G-Name': 'A8', 'Polynomial': [823617, -48, -140, -224, -210, -112, -28, 0, 1], 'QpRts': [['1601733002274851752612941362', '0'], ['-1299619685827465311798519940', '1844597667742468924688657812'], ['963966493614527254236300136', '0'], ['-1152288744925744939575001527', '1895336957322391317553807435'], ['1372327188041773267151766254', '0'], ['1535300613413308486168596466', '0'], ['1383523032155383795855819237', '-1844597667742468924688657812'], ['-548054881625350954409264387', '-1895336957322391317553807435']], 'QpRts-minpoly': [3, 193, 1], 'QpRts-p': 199, 'QpRts-prec': 12, 'Size': 20160, 'TransitiveDegree': 8}