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{'Lhash': '599698351315555393005912620303,856988435439924089676882521543,1034241855325754421518369040443', 'a10': 9, 'a2': -3, 'a3': -3, 'a4': 6, 'a5': -3, 'a6': 9, 'a7': -1, 'a8': -10, 'a9': 6, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 112298.37809066832, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, 3, 3, 1]], [3, [1, 3, 3, 1]], [19, [1, -3, 3, -1]], [53, [1, 3, 3, 1]]], 'bad_primes': [2, 3, 19, 53], 'central_character': '6042.1', 'coefficient_field': '1.1.1.1', 'conductor': 220567826088, 'conductor_radical': 6042, 'degree': 6, 'euler_factors': [[1, 3, 3, 1], [1, 3, 3, 1], [1, 3, 13, 23, 65, 75, 125], [1, 1, 11, 23, 77, 49, 343], [1, -5, 33, -101, 363, -605, 1331], [1, -3, 37, -71, 481, -507, 2197], [1, -7, 57, -239, 969, -2023, 4913], [1, -3, 3, -1], [1, -11, 87, -439, 2001, -5819, 12167], [1, -2, 10, 11, 290, -1682, 24389], [1, -4, 65, -208, 2015, -3844, 29791], [1, -11, 143, -833, 5291, -15059, 50653], [1, 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'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.67604467294507715184735691463', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '0.815872966209733362444652838303', 'prec': 107}}
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{'algebraic': True, 'analytic_conductor': 112298.37809066832, 'bad_primes': [2, 3, 19, 53], 'central_character': '1.1', 'conductor': 220567826088, 'conductor_radical': 6042, 'degree': 6, 'dirichlet_coefficients': [1, -3, -3, 6, -3, 9, -1, -10, 6, 9, 5, -18, 3, 3, 9, 15, 7, -18, 3, -18, 3, -15, 11, 30, -4, -9, -10, -6, 2, -27, 4, -21, -15, -21, 3, 36, 11, -9, -9, 30, 14, -9, -11, 30, -18, -33, -11, -45, -10, 12, -21, 18, -3, 30, -15, 10, -9, -6, 6, 54, -10, -12, -6, 28, -9, 45, 19, 42, -33, -9, 16, -60, 9, -33, 12, 18, -5, 27, -21, -45, 15, -42, 15, 18, -21, 33, -6, -50, -4, 54, -3, 66, -12, 33, -9, 63, -11, 30, 30, -24], 'euler11': [1, -5, 33, -101, 363, -605, 1331], 'euler13': [1, -3, 37, -71, 481, -507, 2197], 'euler17': [1, -7, 57, -239, 969, -2023, 4913], 'euler19': [1, -3, 3, -1, 0, 0, 0], 'euler2': [1, 3, 3, 1, 0, 0, 0], 'euler23': [1, -11, 87, -439, 2001, -5819, 12167], 'euler29': [1, -2, 10, 11, 290, -1682, 24389], 'euler3': [1, 3, 3, 1, 0, 0, 0], 'euler31': [1, -4, 65, -208, 2015, -3844, 29791], 'euler37': [1, -11, 143, -833, 5291, -15059, 50653], 'euler41': [1, -14, 162, -1103, 6642, -23534, 68921], 'euler43': [1, 11, 147, 879, 6321, 20339, 79507], 'euler47': [1, 11, 164, 1007, 7708, 24299, 103823], 'euler5': [1, 3, 13, 23, 65, 75, 125], 'euler53': [1, 3, 3, 1, 0, 0, 0], 'euler59': [1, -6, 34, 225, 2006, -20886, 205379], 'euler61': [1, 10, 138, 1071, 8418, 37210, 226981], 'euler67': [1, -19, 297, -2609, 19899, -85291, 300763], 'euler7': [1, 1, 11, 23, 77, 49, 343], 'euler71': [1, -16, 281, -2344, 19951, -80656, 357911], 'euler73': [1, -9, 205, -1319, 14965, -47961, 389017], 'euler79': [1, 21, 183, 1325, 14457, 131061, 493039], 'euler83': [1, -15, 193, -1491, 16019, -103335, 571787], 'euler89': [1, 4, 220, 659, 19580, 31684, 704969], 'euler97': [1, 11, 251, 1613, 24347, 103499, 912673], 'euler_factors': [[1, 3, 3, 1, 0, 0, 0], [1, 3, 3, 1, 0, 0, 0], [1, 3, 13, 23, 65, 75, 125], [1, 1, 11, 23, 77, 49, 343], [1, -5, 33, -101, 363, -605, 1331], [1, -3, 37, -71, 481, -507, 2197], [1, -7, 57, -239, 969, -2023, 4913], [1, -3, 3, -1, 0, 0, 0], [1, -11, 87, -439, 2001, -5819, 12167], [1, -2, 10, 11, 290, -1682, 24389], [1, -4, 65, -208, 2015, -3844, 29791], [1, -11, 143, -833, 5291, -15059, 50653], [1, -14, 162, -1103, 6642, -23534, 68921], [1, 11, 147, 879, 6321, 20339, 79507], [1, 11, 164, 1007, 7708, 24299, 103823], [1, 3, 3, 1, 0, 0, 0], [1, -6, 34, 225, 2006, -20886, 205379], [1, 10, 138, 1071, 8418, 37210, 226981], [1, -19, 297, -2609, 19899, -85291, 300763], [1, -16, 281, -2344, 19951, -80656, 357911], [1, -9, 205, -1319, 14965, -47961, 389017], [1, 21, 183, 1325, 14457, 131061, 493039], [1, -15, 193, -1491, 16019, -103335, 571787], [1, 4, 220, 659, 19580, 31684, 704969], [1, 11, 251, 1613, 24347, 103499, 912673]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6042/2/a/q'], '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': '6-6042e3-1.1-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': '6-6042e3-1.1-c1e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 6.945906197268836, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e3-0', 'trace_hash': 1574792950460942595, 'z1': {'__RealLiteral__': 0, 'data': '0.47307858427833738323096286378', 'prec': 103}}
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{'Lhash': '599698351315555393005912620303,856988435439924089676882521543,1034241855325754421518369040443', 'Lhash_array': ['599698351315555393005912620303', '856988435439924089676882521543', '1034241855325754421518369040443'], 'label': '6-6042e3-1.1-c1e3-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6042/2/a/q'}