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artin_reps • Show schema
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{'BadPrimes': [3, 5, 41], 'Baselabel': '1.615.2t1.a', 'CharacterField': 1, 'Conductor': 615, 'Container': '2t1', 'Dets': ['615.614'], 'Dim': 1, 'GalConjSigns': [1], 'Galn': 2, 'GaloisConjugates': [{'Sign': 1, 'Character': [[1], [-1]], 'GalOrbIndex': 1, 'HardFactors': [3, 3, 3], 'LocalFactors': [[[1], [-1]], [[1], [1]], [[1]]]}], 'GaloisConjugatesSigns': [1], 'GaloisLabel': '2T1', 'Galt': 1, 'HardPrimes': [3, 5, 41], 'Hide': 0, 'Indicator': 1, 'Is_Even': False, 'NFGal': [154, -1, 1], 'NumBadPrimes': 3, 'Proj_GAP': [1, 1], 'Proj_Polynomial': [0, 1], 'Proj_nTj': [1, 1]}
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artin_field_data • Show schema
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{'ArtinReps': [{'GalConj': 1, 'Baselabel': '1.1.1t1.a', 'Character': [[1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.615.2t1.a', 'Character': [[1], [-1]], 'CharacterField': 1}], 'ComplexConjugation': 2, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2]}, {'Size': '1', 'Order': 2, 'Representative': [2, 1]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1]}, {'Data': 0, 'Classes': 2, 'Algorithm': 'CYC', 'CycleType': [2]}], 'Frobs': [1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1], 'G-Gens': [[2, 1]], 'G-Name': 'C2', 'Polynomial': [154, -1, 1], 'QpRts': [['-4256'], ['4257']], 'QpRts-minpoly': [-1, 1], 'QpRts-p': 7, 'QpRts-prec': 5, 'Size': 2, 'TransitiveDegree': 2}