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lfunc_lfunctions • Show schema
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{'Lhash': '3361362705933463992315146218487', 'a10': [0.0, 1158.2336152753057], 'a2': [-5.656854249492381, 0.0], 'a3': [0.0, 3.8425731664594682], 'a4': [32.0, 0.0], 'a5': [0.0, -204.7487108898449], 'a6': [0.0, -21.736876345671636], 'a7': [-41.793939239339984, -340.4442195762154], 'a8': [-181.01933598375618, 0.0], 'a9': [714.2346314604057, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.2207571706779143, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [5.656854249492381, 0]]], [7, [[1.0, 0], [41.793939239339984, 340.4442195762154]]]], 'bad_primes': [2, 7], 'central_character': '14.13', 'coefficient_field': 'CDF', 'conductor': 14, 'conductor_radical': 14, 'conjugate': '1219379539639436696281514583585', 'degree': 2, 'euler_factors': [[[1.0, 0], [5.656854249492381, 0]], [[1.0, 0], [0, -3.8425731664594682], [-729.0, 0]], [[1.0, 0], [0, 204.7487108898449], [-15625.0, 0]], [[1.0, 0], [41.793939239339984, 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'z1': {'__RealLiteral__': 0, 'data': '2.65164762697882211504464742228', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '6.33859245696523188220522060595', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '7.85411874414407392759396515208', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.2207571706779143, 'bad_primes': [2, 7], 'central_character': '7.6', 'conductor': 14, 'conductor_radical': 14, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/14/7/b/a/13/2'], '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': '2-14-7.6-c6-0-2', 'motivic_weight': 6, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [6], 'order_of_vanishing': 0, 'prelabel': '2-14-7.6-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7946468094524657, 'root_angle': 0.23055894279587102, 'self_dual': False, 'spectral_label': 'c6-0', 'z1': {'__RealLiteral__': 0, 'data': '2.65164762697882211504464742228', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3361362705933463992315146218487', 'Lhash_array': ['3361362705933463992315146218487'], 'factors': ['2-14-7.6-c6-0-2'], 'label': '2-14-7.6-c6-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/14/7/b/a/13/2'}