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lfunc_lfunctions • Show schema
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{'Lhash': '1377262142403059399320717478123', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.0, 0.0], 'a4': [0.0, 0.0], 'a5': [1.7979326519318135, 0.0], 'a6': [0.0, 0.0], 'a7': [-0.15894165103667743, 0.0], 'a8': [0.0, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 73.59013050281203, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '9216.1', 'coefficient_field': 'CDF', 'conductor': 9216, 'conductor_radical': 6, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-1.7979326519318135, 0], [5.0, 0]], [[1.0, 0], [0.15894165103667743, 0], [7.0, 0]], [[1.0, 0], [-5.371087865341586, 0], [11.0, 0]], [[1.0, 0], [-5.956874302968491, 0], [13.0, 0]], [[1.0, 0], [-3.053204563268231, 0], [17.0, 0]], [[1.0, 0], [-3.053204563268231, 0], [19.0, 0]], [[1.0, 0], [-2.8284271247461903, 0], [23.0, 0]], [[1.0, 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[113.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 93, 'label': '2-96e2-1.1-c1-0-93', 'leading_term': '3.52470303314517950003516330596', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/9216/2/a/y/1/4', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.046875', 'prec': 27}, 'plot_values': [3.5247030331451796, 3.515789597961921, 3.489029944094353, 3.4443733281546103, 3.3817589930255814, 3.30115010907413, 3.2025779006565354, 3.0861929386843188, 2.9523201811815847, 2.801514193092792, 2.6346110488284724, 2.4527736733363406, 2.2575277604605524, 2.0507858742639917, 1.8348578516865002, 1.6124461562195467, 1.3866253655013256, 1.1608055023723631, 0.9386794356444605, 0.7241550825162022, 0.5212736379594675, 0.33411553448231757, 0.1666962927930951, 0.022854851536513794, -0.09386264867825725, 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'5.06290772074344357694882618382976', '5.86937379086104942216254015460323', '6.25986133429355539354073701533055', '6.84334649861645084394278383933599', '7.77475004982426061921466710680910'], 'prelabel': '2-96e2-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.578469006927287, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.08646826038270750513462293632', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.44184299645144067216379426220', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.63453388733317289073244939599', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 73.59013050281203, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 9216, 'conductor_radical': 6, 'degree': 2, 'index': 93, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/9216/2/a/y/1/4'], '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': '2-96e2-1.1-c1-0-93', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-96e2-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.578469006927287, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.08646826038270750513462293632', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1377262142403059399320717478123', 'Lhash_array': ['1377262142403059399320717478123'], 'label': '2-96e2-1.1-c1-0-93', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/9216/2/a/y/1/4'}