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lfunc_lfunctions • Show schema
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{'Lhash': '1507225802080642645422483011163', 'a10': [96.83691149953222, -55.9088169217469], 'a2': [-7.188130686450126, 4.15006918679219], 'a3': [15.265018503688218, 3.158988775234303], 'a4': [18.44614851032398, -31.94966642384209], 'a5': [-13.471779482539617, 0.0], 'a6': [-122.83696991311255, 40.6436587745559], 'a7': [121.59873597487255, 44.952724158978775], 'a8': [0.0, 40.60674223605264], 'a9': [223.04157983588735, 96.44404421379004], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.104180648217781, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-15.265018503688218, -3.158988775234303]]], [7, [[1.0, 0], [-121.59873597487255, -44.952724158978775]]]], 'bad_primes': [3, 7], 'central_character': '63.47', 'coefficient_field': 'CDF', 'conductor': 63, 'conductor_radical': 21, 'conjugate': '1607728656617517615052385732080', 'degree': 2, 'euler_factors': [[[1.0, 0], [7.188130686450126, -4.15006918679219], [16.0, 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'data': '4.41031556329773893088335692330', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 10.104180648217781, 'bad_primes': [3, 7], 'central_character': '63.47', 'conductor': 63, 'conductor_radical': 21, 'degree': 2, 'index': 19, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/63/6/s/a/47/7'], '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': '2-63-63.47-c5-0-19', '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': '2-63-63.47-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.178707386378586, 'root_angle': -0.1640708502879212, 'self_dual': False, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '1.18899151060180133593055755921', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1507225802080642645422483011163', 'Lhash_array': ['1507225802080642645422483011163'], 'label': '2-63-63.47-c5-0-19', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/63/6/s/a/47/7'}