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lfunc_lfunctions • Show schema
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1140046.2226711202, 'bad_primes': [2, 5], 'central_character': '1.1', 'conductor': 4398046511104000000, 'conductor_radical': 10, 'degree': 12, 'dirichlet_coefficients': [1, 0, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -12, 0, 0, 0, -16, 0, 0, 0, 0, 0, -16, 0, -64, 0, -4, 0, -28, 0, 0, 0, 0, 0, 18, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, -24, 0, 0, 0, 4, 0, 0, 0, 32, 0, -19, 0, 60, 0, 0, 0, 0, 0, -20, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, -22, 0, 311, 0, -4116, 0, 37631, 0, -322102, 0, 1771561], 'euler13': [1, 16, 158, 1136, 6503, 30528, 120324, 396864, 1099007, 2495792, 4512638, 5940688, 4826809], 'euler17': [1, 0, -54, 0, 1583, 0, -31412, 0, 457487, 0, -4510134, 0, 24137569], 'euler19': [1, 0, -38, 0, 1351, 0, -26804, 0, 487711, 0, -4952198, 0, 47045881], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, -98, 0, 4335, 0, -120044, 0, 2293215, 0, 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46735, 0, -5290868, 0, 439729615, 0, -24611140118, 0, 832972004929], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -4, 14, -36, 87, -176, 340, -528, 783, -972, 1134, -972, 729], [1, 0, -1, -16, -5, 0, 125, 0, 0, 0, 0, 0, 0], [1, 0, -18, 0, 239, 0, -1868, 0, 11711, 0, -43218, 0, 117649], [1, 0, -22, 0, 311, 0, -4116, 0, 37631, 0, -322102, 0, 1771561], [1, 16, 158, 1136, 6503, 30528, 120324, 396864, 1099007, 2495792, 4512638, 5940688, 4826809], [1, 0, -54, 0, 1583, 0, -31412, 0, 457487, 0, -4510134, 0, 24137569], [1, 0, -38, 0, 1351, 0, -26804, 0, 487711, 0, -4952198, 0, 47045881], [1, 0, -98, 0, 4335, 0, -120044, 0, 2293215, 0, -27424418, 0, 148035889], [1, 0, -162, 0, 11271, 0, -429948, 0, 9478911, 0, -114579522, 0, 594823321], [1, 16, 186, 1712, 13391, 90528, 548716, 2806368, 12868751, 51002192, 171774906, 458066416, 887503681], [1, 16, 222, 1904, 17207, 119232, 840772, 4411584, 23556383, 96443312, 416063742, 1109503312, 2565726409], [1, 4, 146, 244, 10783, 15528, 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[1, -60, 1918, -41548, 673815, -8551232, 86845236, -709752256, 4641911535, -23756606276, 91025059678, -236342438580, 326940373369], [1, 20, 402, 4388, 63359, 633768, 7520572, 56405352, 501866639, 3093403972, 25222380882, 111681188980, 496981290961], [1, 0, -278, 0, 46735, 0, -5290868, 0, 439729615, 0, -24611140118, 0, 832972004929]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1280/2/f/k'], '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': '12-1280e6-1.1-c1e6-0-0', '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': 0, 'prelabel': '12-1280e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 3.197006640394088, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 472710054848716593, 'z1': {'__RealLiteral__': 0, 'data': '0.18320740375440590333560405971', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '232242975335528212115553402772,391404148608744587093544501409,1218174622073562612367333762010,1685557835382326712036183482960,2486042965520605692326797910597,2593714252169371723995039567565', 'Lhash_array': ['232242975335528212115553402772', '391404148608744587093544501409', '1218174622073562612367333762010', '1685557835382326712036183482960', '2486042965520605692326797910597', '2593714252169371723995039567565'], 'label': '12-1280e6-1.1-c1e6-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1280/2/f/k'}