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{'Lhash': '442562285194847169151395394673,849088993131211194761235618730,866151602642845506289642478537,2318183816681774317679564408670', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': -108, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5807077.050363285, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [13, [1, 0, -4394, 0, 4826809]]], 'bad_primes': [2, 13], 'central_character': '832.1', 'coefficient_field': '1.1.1.1', 'conductor': 479174066176, 'conductor_radical': 26, 'degree': 8, 'euler_factors': [[1], [1, 0, 108, 0, 4374, 0, 78732, 0, 531441], [1, 0, -500, 0, 93750, 0, -7812500, 0, 244140625], [1, 0, 0, 0, -234002, 0, 0, 0, 13841287201], [1, 0, 0, 0, -1616578, 0, 0, 0, 3138428376721], [1, 0, -4394, 0, 4826809], [1, 0, 19548, 0, 143806214, 0, 471841198812, 0, 582622237229761], [1, 0, 0, 0, 32876062, 0, 0, 0, 2213314919066161], [1, 0, 48668, 0, 888215334, 0, 7204610645852, 0, 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-
lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5807077.050363285, 'bad_primes': [2, 13], 'central_character': '1.1', 'conductor': 479174066176, 'conductor_radical': 26, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1240, 0, 0, 0, 0, 0, 0, 0, 3528, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7290, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, 0, 0, -1616578, 0, 0, 0, 3138428376721], 'euler13': [1, 0, -4394, 0, 4826809, 0, 0, 0, 0], 'euler17': [1, 0, 19548, 0, 143806214, 0, 471841198812, 0, 582622237229761], 'euler19': [1, 0, 0, 0, 32876062, 0, 0, 0, 2213314919066161], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, 48668, 0, 888215334, 0, 7204610645852, 0, 21914624432020321], 'euler29': [1, 0, -29844, 0, 1412312726, 0, -17751907191924, 0, 353814783205469041], 'euler3': [1, 0, 108, 0, 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'nu_real_doubled': [3, 3, 3, 3], 'order_of_vanishing': 0, 'prelabel': '8-832e4-1.1-c3e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.006396300865104, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e4-0', 'trace_hash': 2291356961412943777, 'z1': {'__RealLiteral__': 0, 'data': '0.34912008491548672885151133734', 'prec': 103}}
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{'Lhash': '442562285194847169151395394673,849088993131211194761235618730,866151602642845506289642478537,2318183816681774317679564408670', 'Lhash_array': ['442562285194847169151395394673', '849088993131211194761235618730', '866151602642845506289642478537', '2318183816681774317679564408670'], 'factors': ['2-832-13.12-c3-0-18', '2-832-13.12-c3-0-36', '2-832-13.12-c3-0-37', '2-832-13.12-c3-0-74'], 'label': '8-832e4-1.1-c3e4-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/832/4/f/i'}