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{'Lhash': '2031632868699548461802165803546,2180498328370372809944243552685,2426576288776762227993879244079,2853008587732090938370787847724,3132384023433430377849982579763,3405681115850245543708122074999', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': -6, 'a5': 0, 'a6': 0, 'a7': -12, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 38907.0060040338, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [1]]], 'bad_primes': [3], 'central_character': '729.1', 'coefficient_field': '1.1.1.1', 'conductor': 150094635296999121, 'conductor_radical': 3, 'degree': 12, 'euler_factors': [[1, 0, 6, 0, 21, 0, 49, 0, 84, 0, 96, 0, 64], [1], [1, 0, 15, 0, 93, 0, 427, 0, 2325, 0, 9375, 0, 15625], [1, 12, 96, 530, 2340, 8208, 24039, 57456, 114660, 181790, 230496, 201684, 117649], [1, 0, 24, 0, 372, 0, 3955, 0, 45012, 0, 351384, 0, 1771561], [1, 12, 96, 530, 2700, 11808, 47187, 153504, 456300, 1164410, 2741856, 4455516, 4826809], [1, 0, 21, 0, 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True, 'root_analytic_conductor': 2.4126944081982993, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1e6-0', 'trace_hash': 132463169488348328, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.60267574387908682091371094118', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.72010988515115534229040122010', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.91423116775228000069691215094', 'prec': 103}}
-
lfunc_search • Show schema
Hide schema
{'algebraic': True, 'analytic_conductor': 38907.0060040338, 'bad_primes': [3], 'central_character': '1.1', 'conductor': 150094635296999121, 'conductor_radical': 3, 'degree': 12, 'dirichlet_coefficients': [1, 0, 0, -6, 0, 0, -12, 0, 0, 0, 0, 0, -12, 0, 0, 15, 0, 0, -24, 0, 0, 0, 0, 0, -15, 0, 0, 72, 0, 0, -30, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 48, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, -13, 0, 0, 6, 0, 0, 0, 0, 0, 12, 0, 0, 144, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -12, 0, 0, 90], 'euler11': [1, 0, 24, 0, 372, 0, 3955, 0, 45012, 0, 351384, 0, 1771561], 'euler13': [1, 12, 96, 530, 2700, 11808, 47187, 153504, 456300, 1164410, 2741856, 4455516, 4826809], 'euler17': [1, 0, 21, 0, 582, 0, 7729, 0, 168198, 0, 1753941, 0, 24137569], 'euler19': [1, 24, 336, 3254, 24264, 143640, 693519, 2729160, 8759304, 22319186, 43787856, 59426376, 47045881], 'euler2': [1, 0, 6, 0, 21, 0, 49, 0, 84, 0, 96, 0, 64], 'euler23': [1, 0, 24, 0, 696, 0, 30091, 0, 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'nu_real_doubled': [1, 1, 1, 1, 1, 1], 'order_of_vanishing': 6, 'prelabel': '12-3e36-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.4126944081982993, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 132463169488348328, 'z1': {'__RealLiteral__': 0, 'data': '1.60267574387908682091371094118', 'prec': 103}}
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{'Lhash': '2031632868699548461802165803546,2180498328370372809944243552685,2426576288776762227993879244079,2853008587732090938370787847724,3132384023433430377849982579763,3405681115850245543708122074999', 'Lhash_array': ['2031632868699548461802165803546', '2180498328370372809944243552685', '2426576288776762227993879244079', '2853008587732090938370787847724', '3132384023433430377849982579763', '3405681115850245543708122074999'], 'label': '12-3e36-1.1-c1e6-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/729/2/a/c'}