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lfunc_lfunctions • Show schema
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{'Lhash': '2206112622329580472742870823561', 'a10': [1.795795857266113, -1.3323352577432854], 'a2': [0.5, -0.8660254037844386], 'a3': [0, 0], 'a4': [-0.5, -0.8660254037844386], 'a5': [2.0517341081964293, 0.8890372035316649], 'a6': [0, 0], 'a7': [0.9708349950330258, -2.461194712414933], 'a8': [-1.0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 15.091725982022, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.5, 0.8660254037844386]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-2.0517341081964293, -0.8890372035316649]]], [7, [[1.0, 0], [-0.9708349950330258, 2.461194712414933]]]], 'bad_primes': [2, 3, 5, 7], 'central_character': '1890.1529', 'coefficient_field': 'CDF', 'conductor': 1890, 'conductor_radical': 210, 'conjugate': '886854537662185871178644967876', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.5, 0.8660254037844386]], [[1.0, 0], [0, 0]], [[1.0, 0], [-2.0517341081964293, 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[2.986729712633803, -5.173167610757339], [-56.5, -97.86087062764156]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 41, 'label': '2-1890-315.59-c1-0-41', 'leading_term': '2.217683275028256189716433361604553748629483913709488677', '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/1890/2/r/b/1529/22', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05859375', 'prec': 34}, 'plot_values': [2.2176832750282562, 2.3780048678981793, 2.5342811755977688, 2.6860389527374693, 2.8324652228514204, 2.972382345188415, 3.104246522359, 3.2261691858332577, 3.335959392927976, 3.4311845179951805, 3.5092460968823374, 3.5674675843394588, 3.603190876670546, 3.6138786154535625, 3.597219435705184, 3.55123340713828, 3.4743749293913346, 3.365630295906048, 3.224607065765444, 3.0516123134521163, 2.847716798098408, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 15.091725982022, 'bad_primes': [2, 3, 5, 7], 'central_character': '315.59', 'conductor': 1890, 'conductor_radical': 210, 'degree': 2, 'index': 41, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1890/2/r/b/1529/22'], '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': '2-1890-315.59-c1-0-41', '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': '2-1890-315.59-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.884807071402903, 'root_angle': 0.35255184591841654, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.74031600027041299360093238019', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2206112622329580472742870823561', 'Lhash_array': ['2206112622329580472742870823561'], 'label': '2-1890-315.59-c1-0-41', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1890/2/r/b/1529/22'}