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lfunc_lfunctions • Show schema
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{'Lhash': '328159876380459287890048444041', 'a10': [0, 0], 'a2': [0, 0], 'a3': [4.0, -6.928203230275509], 'a4': [0, 0], 'a5': [-2.5, -4.330127018922194], 'a6': [0, 0], 'a7': [0, 0], 'a8': [0, 0], 'a9': [-18.5, -32.04293994002423], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 57.821871805625825, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [2.5, 4.330127018922194]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 5, 7], 'central_character': '980.361', 'coefficient_field': 'CDF', 'conductor': 980, 'conductor_radical': 70, 'conjugate': '1506820069650167879501363230961', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-4.0, 6.928203230275509], [-13.5, -23.382685902179844]], [[1.0, 0], [2.5, 4.330127018922194]], [[1.0, 0], [0, 0]], [[1.0, 0], [14.0, -24.24871130596428], [-665.5, -1152.6798124370878]], [[1.0, 0], [82.0, 0], [2197.0, 0]], [[1.0, 0], [23.0, -39.83716857408418], 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{'__RealLiteral__': 0, 'data': '-0.12632076055877442', 'prec': 67}, 'spectral_label': 'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.25887249713870444490313412509', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.59544430257152017989158223305', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.93792390374923940851245629061', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 57.821871805625825, 'bad_primes': [2, 5, 7], 'central_character': '7.4', 'conductor': 980, 'conductor_radical': 70, 'degree': 2, 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/980/4/i/q/361/1'], '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': '2-980-7.4-c3-0-9', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-980-7.4-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.604069424040382, 'root_angle': -0.12632076055877442, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '0.25887249713870444490313412509', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '328159876380459287890048444041', 'Lhash_array': ['328159876380459287890048444041'], 'label': '2-980-7.4-c3-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/980/4/i/q/361/1'}