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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 304902447.23649096, 'bad_primes': [3, 19], 'central_character': '1.1', 'conductor': 1176246293903439668001, 'conductor_radical': 57, 'degree': 12, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -18, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, 39, 0, 843, 0, 11311, 0, 102003, 0, 570999, 0, 1771561], 'euler13': [1, 18, 189, 1406, 8226, 39114, 154677, 508482, 1390194, 3088982, 5398029, 6683274, 4826809], 'euler17': [1, 0, 9, 0, 585, 0, 6103, 0, 169065, 0, 751689, 0, 24137569], 'euler19': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler2': [1, 0, 0, 0, 9, 0, 1, 0, 36, 0, 0, 0, 64], 'euler23': [1, 0, 108, 0, 5382, 0, 157591, 0, 2847078, 0, 30222828, 0, 148035889], 'euler29': [1, 0, 81, 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['ModularForm/GL2/Q/holomorphic/3249/2/a/bi'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '12-57e12-1.1-c1e6-0-2', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1], 'order_of_vanishing': 6, 'prelabel': '12-57e12-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.0934659728630765, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 2295465566334779349, 'z1': {'__RealLiteral__': 0, 'data': '0.885642800704412966476159801711', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1122685627900759245945916025659,1771251452371666052478592725359,1778870493173690137150207521156,2255330400215775253868535924509,2387147556620626948884909371853,2549209306978014633838200981308', 'Lhash_array': ['1122685627900759245945916025659', '1771251452371666052478592725359', '1778870493173690137150207521156', '2255330400215775253868535924509', '2387147556620626948884909371853', '2549209306978014633838200981308'], 'factors': ['2-57e2-1.1-c1-0-43', '2-57e2-1.1-c1-0-90', '2-57e2-1.1-c1-0-93', '2-57e2-1.1-c1-0-121', '2-57e2-1.1-c1-0-122', '2-57e2-1.1-c1-0-127'], 'label': '12-57e12-1.1-c1e6-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3249/2/a/bi'}