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{'Lhash': '896161466949678742414556747117,1856160135135627970198276211139,2035066842693505985985409530234,2193315971815178954583160470114,2217973214735185262641328617113,2764408036049996992807103442742', 'a10': -2, 'a2': -1, 'a3': 1, 'a4': -2, 'a5': 2, 'a6': -1, 'a7': -7, 'a8': 1, 'a9': -6, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 145772767.19202372, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[13, [1]], [17, [1, 6, 15, 20, 15, 6, 1]]], 'bad_primes': [13, 17], 'central_character': '2873.1', 'coefficient_field': '1.1.1.1', 'conductor': 562359137211758588689, 'conductor_radical': 221, 'degree': 12, 'euler_factors': [[1, 1, 3, 4, 7, 9, 17, 18, 28, 32, 48, 32, 64], [1, -1, 7, -3, 31, -18, 118, -54, 279, -81, 567, -243, 729], [1, -2, 15, -34, 135, -244, 838, -1220, 3375, -4250, 9375, -6250, 15625], [1, 7, 35, 133, 483, 1478, 4226, 10346, 23667, 45619, 84035, 117649, 117649], [1, -1, 47, -47, 1067, -962, 14714, -10582, 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{'__RealLiteral__': 0, 'data': '1.46425216443824708091352840824', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.60538467171246556676460544995', 'prec': 103}}
-
lfunc_search • Show schema
Hide schema
{'algebraic': True, 'analytic_conductor': 145772767.19202372, 'bad_primes': [13, 17], 'central_character': '1.1', 'conductor': 562359137211758588689, 'conductor_radical': 221, 'degree': 12, 'dirichlet_coefficients': [1, -1, 1, -2, 2, -1, -7, 1, -6, -2, 1, -2, 0, 7, 2, 2, -6, 6, -23, -4, -7, -1, -10, 1, -11, 0, -10, 14, -4, -2, -16, 1, 1, 6, -14, 12, -4, 23, 0, 2, 4, 7, 10, -2, -12, 10, 6, 2, 14, 11, -6, 0, -27, 10, 2, -7, -23, 4, -10, -4, 11, 16, 42, -5, 0, -1, -18, 12, -10, 14, 0, -6, -12, 4, -11, 46, -7, 0, -6, 4, 4, -4, -26, 14, -12, -10, -4, 1, -21, 12, 0, 20, -16, -6, -46, 1, -3, -14, -6, 22], 'euler11': [1, -1, 47, -47, 1067, -962, 14714, -10582, 129107, -62557, 688127, -161051, 1771561], 'euler13': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler17': [1, 6, 15, 20, 15, 6, 1, 0, 0, 0, 0, 0, 0], 'euler19': [1, 23, 281, 2361, 15395, 83094, 387318, 1578786, 5557595, 16194099, 36620201, 56950277, 47045881], 'euler2': [1, 1, 3, 4, 7, 9, 17, 18, 28, 32, 48, 32, 64], 'euler23': [1, 10, 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37648126, 215807043, 1011619215, 3937350019, 11291278311, 22164361129], 'euler59': [1, 10, 183, 1166, 15371, 68556, 893802, 4044804, 53506451, 239471914, 2217477063, 7149242990, 42180533641], 'euler61': [1, -11, 189, -2195, 23259, -199062, 1880910, -12142782, 86546739, -498223295, 2616863949, -9290559311, 51520374361], 'euler67': [1, 18, 398, 4750, 63127, 568276, 5525444, 38074492, 283377103, 1428624250, 8020146158, 24302251926, 90458382169], 'euler7': [1, 7, 35, 133, 483, 1478, 4226, 10346, 23667, 45619, 84035, 117649, 117649], 'euler71': [1, 0, 126, 1024, 12415, 61952, 1477412, 4398592, 62584015, 366500864, 3201871806, 0, 128100283921], 'euler73': [1, 12, 261, 2788, 35927, 297928, 3223570, 21748744, 191454983, 1084579396, 7411940901, 24876859116, 151334226289], 'euler79': [1, 6, 343, 1542, 51335, 180248, 4818870, 14239592, 320381735, 760266138, 13359877783, 18462338394, 243087455521], 'euler83': [1, 26, 327, 3238, 31075, 208996, 1286090, 17346668, 214075675, 1851446306, 15518870967, 102415056718, 326940373369], 'euler89': [1, 21, 517, 7089, 105075, 1081714, 11978126, 96272546, 832299075, 4997525241, 32437738597, 117265248429, 496981290961], 'euler97': [1, 3, 371, 951, 68055, 142714, 8005550, 13843258, 640329495, 867952023, 32844363251, 25762020771, 832972004929], 'euler_factors': [[1, 1, 3, 4, 7, 9, 17, 18, 28, 32, 48, 32, 64], [1, -1, 7, -3, 31, -18, 118, -54, 279, -81, 567, -243, 729], [1, -2, 15, -34, 135, -244, 838, -1220, 3375, -4250, 9375, -6250, 15625], [1, 7, 35, 133, 483, 1478, 4226, 10346, 23667, 45619, 84035, 117649, 117649], [1, -1, 47, -47, 1067, -962, 14714, -10582, 129107, -62557, 688127, -161051, 1771561], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 6, 15, 20, 15, 6, 1, 0, 0, 0, 0, 0, 0], [1, 23, 281, 2361, 15395, 83094, 387318, 1578786, 5557595, 16194099, 36620201, 56950277, 47045881], [1, 10, 94, 526, 2739, 11948, 55820, 274804, 1448931, 6399842, 26305054, 64363430, 148035889], [1, 4, 149, 500, 9883, 27000, 371422, 783000, 8311603, 12194500, 105384869, 82044596, 594823321], [1, 16, 213, 1952, 16411, 109520, 674382, 3395120, 15770971, 58152032, 196709973, 458066416, 887503681], [1, 4, 173, 572, 13487, 36184, 625618, 1338808, 18463703, 28973516, 324229853, 277375828, 2565726409], [1, -4, 174, -668, 14483, -47568, 740268, -1950288, 24345923, -46039228, 491682414, -463424804, 4750104241], [1, -10, 195, -1486, 17315, -109868, 941906, -4724324, 32015435, -118147402, 666666195, -1470084430, 6321363049], [1, -6, 118, -946, 8239, -55052, 466740, -2587444, 18199951, -98216558, 575802358, -1376070042, 10779215329], [1, 27, 499, 6795, 76827, 710342, 5632850, 37648126, 215807043, 1011619215, 3937350019, 11291278311, 22164361129], [1, 10, 183, 1166, 15371, 68556, 893802, 4044804, 53506451, 239471914, 2217477063, 7149242990, 42180533641], [1, -11, 189, -2195, 23259, -199062, 1880910, -12142782, 86546739, -498223295, 2616863949, -9290559311, 51520374361], [1, 18, 398, 4750, 63127, 568276, 5525444, 38074492, 283377103, 1428624250, 8020146158, 24302251926, 90458382169], [1, 0, 126, 1024, 12415, 61952, 1477412, 4398592, 62584015, 366500864, 3201871806, 0, 128100283921], [1, 12, 261, 2788, 35927, 297928, 3223570, 21748744, 191454983, 1084579396, 7411940901, 24876859116, 151334226289], [1, 6, 343, 1542, 51335, 180248, 4818870, 14239592, 320381735, 760266138, 13359877783, 18462338394, 243087455521], [1, 26, 327, 3238, 31075, 208996, 1286090, 17346668, 214075675, 1851446306, 15518870967, 102415056718, 326940373369], [1, 21, 517, 7089, 105075, 1081714, 11978126, 96272546, 832299075, 4997525241, 32437738597, 117265248429, 496981290961], [1, 3, 371, 951, 68055, 142714, 8005550, 13843258, 640329495, 867952023, 32844363251, 25762020771, 832972004929]], 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2873/2/a/n'], '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': '12-2873e6-1.1-c1e6-0-1', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1], 'order_of_vanishing': 6, 'prelabel': '12-2873e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 4.789678538348253, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 1871671774758279221, 'z1': {'__RealLiteral__': 0, 'data': '0.70694674604211342595138073878', 'prec': 103}}
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{'Lhash': '896161466949678742414556747117,1856160135135627970198276211139,2035066842693505985985409530234,2193315971815178954583160470114,2217973214735185262641328617113,2764408036049996992807103442742', 'Lhash_array': ['896161466949678742414556747117', '1856160135135627970198276211139', '2035066842693505985985409530234', '2193315971815178954583160470114', '2217973214735185262641328617113', '2764408036049996992807103442742'], 'label': '12-2873e6-1.1-c1e6-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2873/2/a/n'}