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lfunc_lfunctions • Show schema
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{'Lhash': '2104730349487485863972585018026', 'a10': [-1.0, 0.0], 'a2': [1.0, 0.0], 'a3': [2.871508346445439, 0.0], 'a4': [1.0, 0.0], 'a5': [-1.0, 0.0], 'a6': [2.871508346445439, 0.0], 'a7': [1.0, 0.0], 'a8': [1.0, 0.0], 'a9': [5.245560183705818, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.50219784053237, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0, 0]]], [5, [[1.0, 0], [1.0, 0]]], [7, [[1.0, 0], [-1.0, 0]]], [17, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 5, 7, 17], 'central_character': '1190.1', 'coefficient_field': 'CDF', 'conductor': 1190, 'conductor_radical': 1190, 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0, 0]], [[1.0, 0], [-2.871508346445439, 0], [3.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [-3.576636463511371, 0], [11.0, 0]], [[1.0, 0], [5.822196647217189, 0], [13.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [-1.4974565091850593, 0], [19.0, 0]], [[1.0, 0], 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0], [7.655816417837682, 0], [113.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 26, 'label': '2-1190-1.1-c1-0-26', 'leading_term': '4.30044647482352411694498920703', '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/1190/2/a/n/1/4', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05859375', 'prec': 34}, 'plot_values': [4.3004464748235245, 4.2991731855213375, 4.295143229101698, 4.287737522959599, 4.275960609838331, 4.258492093197299, 4.23375302882514, 4.199982780696216, 4.1553218208836125, 4.097896397615799, 4.025901714214323, 3.9376810565230134, 3.8317990260546733, 3.7071075945016085, 3.5628040676957653, 3.3984802527562206, 3.214162204188975, 3.010339933621848, 2.7879864506164123, 2.548565496435382, 2.294027365803981, 2.0267923004210147, 1.749721090437724, 1.4660727376426494, 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'5.22102260530054301459941989857845', '6.68099932871645482458360066568371', '7.46221445999968961835252791928194', '7.933027583681415172793057923536932', '8.998115656325536214620217947501115', '9.523188959015038076715367548895538'], 'prelabel': '2-1190-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.0825635176801094, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.66033948874283463927320799532', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.68724760503198968132719484004', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.54916329606979422882413236528', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9.50219784053237, 'bad_primes': [2, 5, 7, 17], 'central_character': '1.1', 'conductor': 1190, 'conductor_radical': 1190, 'degree': 2, 'index': 26, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1190/2/a/n/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': '2-1190-1.1-c1-0-26', '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': '2-1190-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.0825635176801094, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.66033948874283463927320799532', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2104730349487485863972585018026', 'Lhash_array': ['2104730349487485863972585018026'], 'factors': ['2-1190-1.1-c1-0-26'], 'label': '2-1190-1.1-c1-0-26', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1190/2/a/n/1/4'}