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lfunc_lfunctions • Show schema
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{'Lhash': '101335534754144849304040061618,1329877351319638738751491726108', 'a10': 0, 'a2': 0, 'a3': -126, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': -5572, 'a8': 0, 'a9': 9315, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6117.851084464228, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.0', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1, 126, 6561]]], 'bad_primes': [2, 3], 'central_character': '192.1', 'coefficient_field': '1.1.1.1', 'conductor': 36864, 'conductor_radical': 6, 'degree': 4, 'euler_factors': [[1], [1, 126, 6561], [1, 0, -448322, 0, 152587890625], [1, 5572, 19291398, 32121471172, 33232930569601], [1, 0, 74615230, 0, 45949729863572161], [1, -26300, 1804383942, -21453717962300, 665416609183179841], [1, 0, -9544036610, 0, 48661191875666868481], [1, -288004, 54703702086, -4891334090060164, 288441413567621167681], [1, 0, -154186508930, 0, 6132610415680998648961], [1, 0, -606859926722, 0, 250246473680347348787521], [1, 1457476, 2236841147526, 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{'__RealLiteral__': 0, 'data': '1.26385910026616628852121778392', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6117.851084464228, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 36864, 'conductor_radical': 6, 'degree': 4, 'dirichlet_coefficients': [1, 0, -126, 0, 0, 0, -5572, 0, 9315, 0, 0, 0, 26300, 0, 0, 0, 0, 0, 288004, 0, 702072, 0, 0, 0, 448322, 0, -347004, 0, 0, 0, -1457476, 0, 0, 0, 0, 0, 3928892, 0, -3313800, 0, 0, 0, -156284, 0, 0, 0, 0, 0, 11755786, 0, 0, 0, 0, 0, 0, 0, -36288504, 0, 0, 0, -35156548, 0, -51903180, 0, 0, 0, -34273532, 0, 0, 0, 0, 0, 56278660, 0, -56488572, 0, 0, 0, -18364996, 0, -17393211, 0, 0, 0, 0, 0, 0, 0, 0, 0, -146543600, 0, 183641976, 0, 0, 0, -257445116, 0, 0, 0], 'euler11': [1, 0, 74615230, 0, 45949729863572161], 'euler13': [1, -26300, 1804383942, -21453717962300, 665416609183179841], 'euler17': [1, 0, -9544036610, 0, 48661191875666868481], 'euler19': [1, -288004, 54703702086, -4891334090060164, 288441413567621167681], 'euler2': [1, 0, 0, 0, 0], 'euler23': [1, 0, -154186508930, 0, 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15496731425178936435099327730561], [1, 257445116, 32244364126817286, 2017709000846673672372476, 61425365346268570446197767595521]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/192/9/e/c'], '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': '4-192e2-1.1-c8e2-0-0', 'motivic_weight': 8, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [8, 8], 'order_of_vanishing': 0, 'prelabel': '4-192e2-1.1-c8e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 8.844020190599773, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c8e2-0', 'trace_hash': 1294941244406703128, 'z1': {'__RealLiteral__': 0, 'data': '0.079939641677210007811450181877', 'prec': 107}}
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{'Lhash': '101335534754144849304040061618,1329877351319638738751491726108', 'Lhash_array': ['101335534754144849304040061618', '1329877351319638738751491726108'], 'label': '4-192e2-1.1-c8e2-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/192/9/e/c'}