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lfunc_lfunctions • Show schema
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{'Lhash': '1547874320522016208186733136502', 'a10': [-134.8592722038078, 42.57906411206424], 'a2': [1.7031625644825694, 5.394370888152311], 'a3': [0, 0], 'a4': [-26.198474557890314, 18.374981111271214], 'a5': [0, 25.0], 'a6': [0, 0], 'a7': [0, -101.30318026376463], 'a8': [-143.74172429053786, -110.02870851729105], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 28.86908756633652, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.7031625644825694, -5.394370888152311]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, -25.0]]]], 'bad_primes': [2, 3, 5], 'central_character': '180.71', 'coefficient_field': 'CDF', 'conductor': 180, 'conductor_radical': 30, 'conjugate': '664020997546002005385996195392', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.7031625644825694, -5.394370888152311]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -25.0]], [[1.0, 0], [0, 101.30318026376463], [-16807.0, 0]], [[1.0, 0], 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'data': '0.0006096996399679604', 'prec': 70}, 'spectral_label': 'c5-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.22105753765535627654387812869', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.53182862474754875790311144881', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.92949217518624122631435952537', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 28.86908756633652, 'bad_primes': [2, 3, 5], 'central_character': '12.11', 'conductor': 180, 'conductor_radical': 30, 'degree': 2, 'index': 24, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/180/6/e/a/71/24'], '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': '2-180-12.11-c5-0-24', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 0, 'prelabel': '2-180-12.11-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.372996144269649, 'root_angle': 0.0006096996399679602, 'self_dual': False, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '1.22105753765535627654387812869', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1547874320522016208186733136502', 'Lhash_array': ['1547874320522016208186733136502'], 'factors': ['2-180-12.11-c5-0-24'], 'label': '2-180-12.11-c5-0-24', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/180/6/e/a/71/24'}