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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2069948.1449300856, 'bad_primes': [2, 3, 5], 'central_character': '1.1', 'conductor': 10077696000, 'conductor_radical': 30, 'degree': 6, 'dirichlet_coefficients': [1, 0, 0, 0, 15, 0, -9, 0, 0, 0, -18, 0, -21, 0, 0, 0, 84, 0, -21, 0, 0, 0, -48, 0, 150, 0, 0, 0, -36, 0, -324, 0, 0, 0, -135, 0, 33, 0, 0, 0, 114, 0, -282, 0, 0, 0, -282, 0, -360, 0, 0, 0, 222, 0, -270, 0, 0, 0, 276, 0, 303, 0, 0, 0, -315, 0, -1035, 0, 0, 0, -510, 0, 447, 0, 0, 0, 162, 0, -777, 0, 0, 0, -78, 0, 1260, 0, 0, 0, -324, 0, 189, 0, 0, 0, -315, 0, 1191, 0, 0, 0], 'euler11': [1, 18, 912, -28510, 1213872, 31888098, 2357947691], 'euler13': [1, 21, 2910, 61373, 6393270, 101362989, 10604499373], 'euler17': [1, -84, 14706, -738652, 72250578, -2027555796, 118587876497], 'euler19': [1, 21, 15189, 149614, 104181351, 987963501, 322687697779], 'euler2': [1, 0, 0, 0, 0, 0, 0], 'euler23': [1, 48, 36654, 1165994, 445969218, 7105722672, 1801152661463], 'euler29': [1, 36, 31512, -1278578, 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[1, 324, 70560, 10091392, 2102052960, 287551192644, 26439622160671], [1, -33, 107211, -491142, 5430558783, -84668971497, 129961739795077], [1, -114, 125619, -13866756, 8657787099, -541511883474, 327381934393961], [1, 282, 220578, 43728712, 17537495046, 1782624379818, 502592611936843], [1, 282, 152826, 69794468, 15866853798, 3039738722778, 1119130473102767], [1, -222, 282615, -72010284, 42074873355, -4920488170638, 3299763591802133], [1, -276, 641529, -114147896, 131756584491, -11641827284916, 8662995818654939], [1, -303, 620067, -124220266, 140743427727, -15610673431383, 11694146092834141], [1, 1035, 63873, -227096926, 19210635099, 93624425544915, 27206534396294947], [1, 510, 1098285, 353629860, 393088282635, 65331144799710, 45848500718449031], [1, -447, 657111, -269206770, 255627349887, -67646399151183, 58871586708267913], [1, 777, 1127172, 780182781, 555739755708, 188878952939817, 119851595982618319], [1, 78, 882717, 176745340, 504726105279, 25501349122782, 186940255267540403], [1, 324, 1606299, 549274824, 1132390999731, 161021938271364, 350356403707485209], [1, -1191, 2555007, -2142250738, 2331885903711, -992069657870439, 760231058654565217]], 'index': 15, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2160/4/a/bn'], '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': '6-2160e3-1.1-c3e3-0-15', 'motivic_weight': 3, '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}], 'nu_real_doubled': [3, 3, 3], 'order_of_vanishing': 3, 'prelabel': '6-2160e3-1.1-c3e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 11.289115360044814, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c3e3-0', 'trace_hash': 601322427829620854, 'z1': {'__RealLiteral__': 0, 'data': '1.23102024427839059641217786684', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1560503551552603420158237584483,1592984856258042019658732928647,1807564028183235652061507518387', 'Lhash_array': ['1560503551552603420158237584483', '1592984856258042019658732928647', '1807564028183235652061507518387'], 'label': '6-2160e3-1.1-c3e3-0-15', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2160/4/a/bn'}