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'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.55472076720297396479597959243', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.30296297123430177828568643884', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 13204.028535406049, 'bad_primes': [2, 5, 37], 'central_character': '1.1', 'conductor': 25934336000, 'conductor_radical': 370, 'degree': 6, 'dirichlet_coefficients': [1, 0, 0, 0, -3, 0, 1, 0, 1, 0, -11, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 6, 0, 4, 0, -5, 0, -3, 0, 0, 0, -3, 0, -3, 0, 0, 0, -9, 0, 11, 0, -3, 0, -2, 0, -12, 0, 0, 0, 21, 0, 33, 0, 0, 0, -14, 0, 7, 0, 1, 0, 0, 0, -2, 0, 0, 0, -22, 0, -16, 0, 0, 0, -11, 0, 26, 0, 4, 0, -2, 0, -3, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, -21, 0, -11, 0], 'euler11': [1, 11, 61, 234, 671, 1331, 1331], 'euler13': [1, 0, -1, -32, -13, 0, 2197], 'euler17': [1, -1, 39, -42, 663, -289, 4913], 'euler19': [1, 0, 47, -4, 893, 0, 6859], 'euler2': [1, 0, 0, 0, 0, 0, 0], 'euler23': [1, -2, 21, -156, 483, -1058, 12167], 'euler29': [1, 5, 71, 214, 2059, 4205, 24389], 'euler3': [1, 0, -1, -4, -3, 0, 27], 'euler31': [1, 3, 21, -84, 651, 2883, 29791], 'euler37': [1, 3, 3, 1, 0, 0, 0], 'euler41': [1, 9, 83, 374, 3403, 15129, 68921], 'euler43': [1, -11, 145, -866, 6235, -20339, 79507], 'euler47': [1, 2, 111, 132, 5217, 4418, 103823], 'euler5': [1, 3, 3, 1, 0, 0, 0], 'euler53': [1, -21, 239, -1910, 12667, -58989, 148877], 'euler59': [1, 14, 211, 1572, 12449, 48734, 205379], 'euler61': [1, -7, 175, -850, 10675, -26047, 226981], 'euler67': [1, 2, 171, 212, 11457, 8978, 300763], 'euler7': [1, -1, 13, -4, 91, -49, 343], 'euler71': [1, 22, 277, 2484, 19667, 110902, 357911], 'euler73': [1, 16, 255, 2128, 18615, 85264, 389017], 'euler79': [1, -26, 407, -4332, 32153, -162266, 493039], 'euler83': [1, 2, 91, 996, 7553, 13778, 571787], 'euler89': [1, -18, 375, -3420, 33375, -142578, 704969], 'euler97': [1, 21, 371, 3758, 35987, 197589, 912673], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0], [1, 0, -1, -4, -3, 0, 27], [1, 3, 3, 1, 0, 0, 0], [1, -1, 13, -4, 91, -49, 343], [1, 11, 61, 234, 671, 1331, 1331], [1, 0, -1, -32, -13, 0, 2197], [1, -1, 39, -42, 663, -289, 4913], [1, 0, 47, -4, 893, 0, 6859], [1, -2, 21, -156, 483, -1058, 12167], [1, 5, 71, 214, 2059, 4205, 24389], [1, 3, 21, -84, 651, 2883, 29791], [1, 3, 3, 1, 0, 0, 0], [1, 9, 83, 374, 3403, 15129, 68921], [1, -11, 145, -866, 6235, -20339, 79507], [1, 2, 111, 132, 5217, 4418, 103823], [1, -21, 239, -1910, 12667, -58989, 148877], [1, 14, 211, 1572, 12449, 48734, 205379], [1, -7, 175, -850, 10675, -26047, 226981], [1, 2, 171, 212, 11457, 8978, 300763], [1, 22, 277, 2484, 19667, 110902, 357911], [1, 16, 255, 2128, 18615, 85264, 389017], [1, -26, 407, -4332, 32153, -162266, 493039], [1, 2, 91, 996, 7553, 13778, 571787], [1, -18, 375, -3420, 33375, -142578, 704969], [1, 21, 371, 3758, 35987, 197589, 912673]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2960/2/a/u'], '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': '6-2960e3-1.1-c1e3-0-0', '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}], 'nu_real_doubled': [1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '6-2960e3-1.1-c1e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 4.861658050325938, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e3-0', 'trace_hash': 644141215654478431, 'z1': {'__RealLiteral__': 0, 'data': '0.35000398300654225355479344215', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '443682759140514291207131457684,703192113503913856954529184498,1651701792560319848922088195415', 'Lhash_array': ['443682759140514291207131457684', '703192113503913856954529184498', '1651701792560319848922088195415'], 'label': '6-2960e3-1.1-c1e3-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2960/2/a/u'}