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lfunc_lfunctions • Show schema
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'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1e8-0', 'trace_hash': 343530706837351009, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.16502663567503521367594274302', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.29712655509578796472748595100', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '0.70958254669632545335344746530', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 101551287313236.22, 'bad_primes': [2, 3, 7], 'central_character': '1.1', 'conductor': 6144245739270881311250517590016, 'conductor_radical': 42, 'degree': 16, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, -52, 0, 1498, 0, -27664, 0, 361795, 0, -3347344, 0, 21932218, 0, -92121172, 0, 214358881], 'euler13': [1, 0, -80, 0, 3076, 0, -72560, 0, 1142566, 0, -12262640, 0, 87853636, 0, -386144720, 0, 815730721], 'euler17': [1, 0, 64, 0, 2116, 0, 53440, 0, 1057030, 0, 15444160, 0, 176730436, 0, 1544804416, 0, 6975757441], 'euler19': [1, 0, -80, 0, 3268, 0, -95600, 0, 2111398, 0, -34511600, 0, 425889028, 0, -3763670480, 0, 16983563041], 'euler2': [1, 0, 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'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': '16-84e16-1.1-c1e8-0-5', '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}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '16-84e16-1.1-c1e8-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.506160381061377, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e8-0', 'trace_hash': 343530706837351009, 'z1': {'__RealLiteral__': 0, 'data': '0.16502663567503521367594274302', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '209196113767103723928564800143,376652655910921686797865299412,899502741231072578683778503993,999521251798900545779196884346,1062695484929889953484960923634,1103507308800518101086220511358,1107465735756582548293218979117,1253434567555335983804548809012', 'Lhash_array': ['209196113767103723928564800143', '376652655910921686797865299412', '899502741231072578683778503993', '999521251798900545779196884346', '1062695484929889953484960923634', '1103507308800518101086220511358', '1107465735756582548293218979117', '1253434567555335983804548809012'], 'label': '16-84e16-1.1-c1e8-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/7056/2/k/f'}