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{'Nk2': 30276, 'analytic_conductor': 60.43876928990712, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [29, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7569, 1, [5888, 1684], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, -1, 1]], [5, [-11, 1, 1]], [7, [-5, 0, 1]], [19, [-9, 3, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934637457, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7569.2.a.l', 'level': 7569, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 29], 'level_radical': 87, 'minimal_twist': '841.2.a.a', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{2}+(-1+\\beta )q^{4}+(-2+3\\beta )q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7569.2.a', 'trace_display': [1, 0, -1, 0], 'trace_hash': 850319574431470285, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.043', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.919', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.308', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.618', 'prec': 17}, {'__RealLiteral__': 0, 'data': '58.970', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, 'traces': [2, 1, 0, -1, -1, 0, 0, 0, 0, 7, 5, 0, 4, 5, 0, -3, 11, 0, -3, 8, 0, 5, -2, 0, 13, 7, 0, 5, 0, 0, -9, -9, 0, 8, 15, 0, -4, 6, 0, -15, -1, 0, -10, 0, 0, -6, 14, 0, -4, -1, 0, 3, 4, 0, 5, -10, 0, 0, -1, 0, 1, 8, 0, 4, 13, 0, -12, -3, 0, 5, -12, 0, -14, -17, 0, 9, 5, 0, -1, -21, 0, 7, 2, 0, 2, 0, 0, -5, 4, 0, 10, -4, 0, 7, 24, 0, -13, -2, 0, -14, -1, 0, -4, -10, 0, 2, -18, 0, -31, 20, 0, -15, 2, 0, -14, 0, 0, 12, 5, 0, -7, 3, 0, 17, -24, 0, 14, 25, 0, 19, -13, 0, 15, -16, 0, -5, -21, 0, 16, -10, 0, 4, 15, 0, 0, 8, 0, -13, -17, 0, 21, -15, 0, 15, 42, 0, 9, 12, 0, 12, -10, 0, 17, 8, 0, -19, -30, 0, -8, 41, 0, 10, 3, 0, -15, -15, 0, 17, 32, 0, -6, 15, 0, 10, -43, 0, 30, -7, 0, -3, -5, 0, 16, -29, 0, 2, 26, 0, -5, 15, 0, -3, 0, 0, 23, -27, 0, -21, 0, 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'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.618033988749895, 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934637457, 'label': '7569.2.a.l.1.2', 'level': 7569, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [61, 75, 98, 91], 'ALdims_eis_new': [0, 0, 13, 14], 'ALdims_eis_old': [29, 30, 17, 16], 'ALdims_old': [135, 134, 112, 105], 'Nk2': 30276, 'analytic_conductor': 60.43876928990712, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7569, 1, [5888, 1684], [1, 1]], 'conrey_index': 1, 'cusp_dim': 811, 'dim': 325, 'eis_dim': 119, 'eis_new_dim': 27, 'hecke_cutter_primes': [2, 5, 7, 19], 'hecke_orbit_code': 33562001, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 16, 16, 36], 'label': '7569.2.a', 'level': 7569, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 29], 'level_radical': 87, 'mf_dim': 930, 'mf_new_dim': 352, 'num_forms': 49, 'plus_dim': 152, 'prim_orbit_index': 1, 'relative_dim': 325, 'sturm_bound': 1740, 'trace_bound': 19, 'trace_display': [1, 0, 0, 0], 'traces': [325, 1, 0, 317, 0, 0, 0, -3, 0, 4, -2, 0, 4, -4, 0, 301, 6, 0, 0, -24, 0, 0, 0, 0, 273, 8, 0, -10, 0, 0, -6, 5, 0, -28, -4, 0, 10, 2, 0, 16, 10, 0, 2, -14, 0, 12, -14, 0, 257, 53, 0, 22, 24, 0, -14, 32, 0, 0, 14, 0, 14, 12, 0, 239, -4, 0, -18, 38, 0, 8, -36, 0, -10, -8, 0, -24, -8, 0, 2, -22, 0, 28, -14, 0, 24, 36, 0, -50, -6, 0, 20, 50, 0, 22, -44, 0, -34, -11, 0, 191, -26, 0, -8, -24, 0, -16, -18, 0, 32, -10, 0, -6, 62, 0, -40, 0, 0, -40, 0, 0, 171, 50, 0, 10, -12, 0, -36, 25, 0, 14, 0, 0, 8, -16, 0, -12, 82, 0, 14, -34, 0, -4, 14, 0, 0, 58, 0, -2, -36, 0, -40, -44, 0, -2, 50, 0, -46, -30, 0, 60, -56, 0, 14, -26, 0, -32, -8, 0, 141, 58, 0, 2, 24, 0, -48, -2, 0, -100, 58, 0, 60, -92, 0, 20, 36, 0, 4, -74, 0, -14, 20, 0, -18, -100, 0, 149, -40, 0, -24, 85, 0, 0, 0, 0, 60, 52, 0, 8, 4, 0, 54, 74, 0, -4, 38, 0, 80, -32, 0, -6, 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mf_twists_cc • Show schema
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id: 47320287
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539595934637457, 'target_is_minimal': False, 'target_label': '7569.2.a.l.1.2', 'target_level': 7569, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47320288
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33555273, 'target_is_minimal': True, 'target_label': '841.2.a.a.1.1', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47320289
{'conductor': 29, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915673489, 'target_is_minimal': False, 'target_label': '7569.2.a.d.1.1', 'target_level': 7569, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '29.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 47320290
{'conductor': 87, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 236, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671557796681, 'target_is_minimal': False, 'target_label': '841.2.e.j.236.1', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47320291
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 605, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021803956208457, 'target_is_minimal': False, 'target_label': '841.2.d.g.605.1', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47320292
{'conductor': 87, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 267, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671557796681, 'target_is_minimal': False, 'target_label': '841.2.e.j.267.1', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 47320293
{'conductor': 87, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 63, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671557796681, 'target_is_minimal': False, 'target_label': '841.2.e.j.63.1', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47320294
{'conductor': 87, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 196, 'target_dim': 24, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532671557796681, 'target_is_minimal': False, 'target_label': '841.2.e.j.196.4', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 47320295
{'conductor': 87, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 840, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503668380402505, 'target_is_minimal': False, 'target_label': '841.2.b.b.840.4', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 47320296
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 574, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029003210949449, 'target_is_minimal': False, 'target_label': '841.2.d.i.574.1', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 47320297
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 645, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029003210949449, 'target_is_minimal': False, 'target_label': '841.2.d.i.645.2', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 47320298
{'conductor': 87, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 270, 'target_dim': 24, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532671557796681, 'target_is_minimal': False, 'target_label': '841.2.e.j.270.4', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 47320299
{'conductor': 87, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 270, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671557796681, 'target_is_minimal': False, 'target_label': '841.2.e.j.270.1', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 47320300
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 645, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021803956208457, 'target_is_minimal': False, 'target_label': '841.2.d.g.645.1', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 47320301
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 574, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021803956208457, 'target_is_minimal': False, 'target_label': '841.2.d.g.574.2', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 47320302
{'conductor': 87, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 840, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503668380402505, 'target_is_minimal': False, 'target_label': '841.2.b.b.840.1', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 47320303
{'conductor': 87, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 196, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671557796681, 'target_is_minimal': False, 'target_label': '841.2.e.j.196.1', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.44', 'twisting_conrey_index': 44, 'weight': 2}
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id: 47320304
{'conductor': 87, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 63, 'target_dim': 24, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532671557796681, 'target_is_minimal': False, 'target_label': '841.2.e.j.63.4', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 47320305
{'conductor': 87, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 267, 'target_dim': 24, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532671557796681, 'target_is_minimal': False, 'target_label': '841.2.e.j.267.4', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.50', 'twisting_conrey_index': 50, 'weight': 2}
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id: 47320306
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 605, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029003210949449, 'target_is_minimal': False, 'target_label': '841.2.d.i.605.2', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 47320307
{'conductor': 87, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 236, 'target_dim': 24, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532671557796681, 'target_is_minimal': False, 'target_label': '841.2.e.j.236.4', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.56', 'twisting_conrey_index': 56, 'weight': 2}
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id: 47320308
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 190, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021803956208457, 'target_is_minimal': False, 'target_label': '841.2.d.g.190.1', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.62', 'twisting_conrey_index': 62, 'weight': 2}
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id: 47320309
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 571, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029003210949449, 'target_is_minimal': False, 'target_label': '841.2.d.i.571.2', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.65', 'twisting_conrey_index': 65, 'weight': 2}
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id: 47320310
{'conductor': 87, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 651, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671557796681, 'target_is_minimal': False, 'target_label': '841.2.e.j.651.1', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.68', 'twisting_conrey_index': 68, 'weight': 2}
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id: 47320311
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 778, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021803956208457, 'target_is_minimal': False, 'target_label': '841.2.d.g.778.2', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.71', 'twisting_conrey_index': 71, 'weight': 2}
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id: 47320312
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 778, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029003210949449, 'target_is_minimal': False, 'target_label': '841.2.d.i.778.1', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.74', 'twisting_conrey_index': 74, 'weight': 2}
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id: 47320313
{'conductor': 87, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 651, 'target_dim': 24, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532671557796681, 'target_is_minimal': False, 'target_label': '841.2.e.j.651.4', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.77', 'twisting_conrey_index': 77, 'weight': 2}
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id: 47320314
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 571, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021803956208457, 'target_is_minimal': False, 'target_label': '841.2.d.g.571.1', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.80', 'twisting_conrey_index': 80, 'weight': 2}
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id: 47320315
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 190, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029003210949449, 'target_is_minimal': False, 'target_label': '841.2.d.i.190.2', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 47320316
{'conductor': 87, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934637457, 'source_is_minimal': False, 'source_label': '7569.2.a.l.1.2', 'source_level': 7569, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007199288296265, 'target_is_minimal': True, 'target_label': '841.2.a.c.1.2', 'target_level': 841, 'twist_class_label': '841.2.a.a.1.1', 'twist_class_level': 841, 'twisting_char_label': '87.86', 'twisting_conrey_index': 86, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4485225
{'charpoly_factorization': [[[-1, -1, 1], 1]], 'hecke_orbit_code': 49539595934637457, 'p': 2}
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id: 4485226
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 49539595934637457, 'p': 3}
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id: 4485227
{'charpoly_factorization': [[[-11, 1, 1], 1]], 'hecke_orbit_code': 49539595934637457, 'p': 5}
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id: 4485228
{'charpoly_factorization': [[[-5, 0, 1], 1]], 'hecke_orbit_code': 49539595934637457, 'p': 7}
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id: 4485229
{'charpoly_factorization': [[[5, -5, 1], 1]], 'hecke_orbit_code': 49539595934637457, 'p': 11}
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id: 4485230
{'charpoly_factorization': [[[-1, -4, 1], 1]], 'hecke_orbit_code': 49539595934637457, 'p': 13}
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id: 4485231
{'charpoly_factorization': [[[29, -11, 1], 1]], 'hecke_orbit_code': 49539595934637457, 'p': 17}
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id: 4485232
{'charpoly_factorization': [[[-9, 3, 1], 1]], 'hecke_orbit_code': 49539595934637457, 'p': 19}
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id: 4485233
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 49539595934637457, 'p': 23}
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id: 4485234
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 49539595934637457, 'p': 29}
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id: 4485235
{'charpoly_factorization': [[[-11, 9, 1], 1]], 'hecke_orbit_code': 49539595934637457, 'p': 31}
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id: 4485236
{'charpoly_factorization': [[[-41, 4, 1], 1]], 'hecke_orbit_code': 49539595934637457, 'p': 37}
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id: 4485237
{'charpoly_factorization': [[[-11, 1, 1], 1]], 'hecke_orbit_code': 49539595934637457, 'p': 41}
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id: 4485238
{'charpoly_factorization': [[[20, 10, 1], 1]], 'hecke_orbit_code': 49539595934637457, 'p': 43}
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id: 4485239
{'charpoly_factorization': [[[-7, 1], 2]], 'hecke_orbit_code': 49539595934637457, 'p': 47}
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id: 4485240
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 49539595934637457, 'p': 53}
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id: 4485241
{'charpoly_factorization': [[[-31, 1, 1], 1]], 'hecke_orbit_code': 49539595934637457, 'p': 59}
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id: 4485242
{'charpoly_factorization': [[[-1, -1, 1], 1]], 'hecke_orbit_code': 49539595934637457, 'p': 61}
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id: 4485243
{'charpoly_factorization': [[[16, 12, 1], 1]], 'hecke_orbit_code': 49539595934637457, 'p': 67}
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id: 4485244
{'charpoly_factorization': [[[16, 12, 1], 1]], 'hecke_orbit_code': 49539595934637457, 'p': 71}
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id: 4485245
{'charpoly_factorization': [[[4, 14, 1], 1]], 'hecke_orbit_code': 49539595934637457, 'p': 73}
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id: 4485246
{'charpoly_factorization': [[[-31, 1, 1], 1]], 'hecke_orbit_code': 49539595934637457, 'p': 79}
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id: 4485247
{'charpoly_factorization': [[[-79, -2, 1], 1]], 'hecke_orbit_code': 49539595934637457, 'p': 83}
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id: 4485248
{'charpoly_factorization': [[[-41, -4, 1], 1]], 'hecke_orbit_code': 49539595934637457, 'p': 89}
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id: 4485249
{'charpoly_factorization': [[[-59, 13, 1], 1]], 'hecke_orbit_code': 49539595934637457, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '7569.2.a.l', 'level': 7569, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 56332729
{'hecke_orbit_code': 49539595934637457, 'n': 1, 'trace_an': 2}
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id: 56332730
{'hecke_orbit_code': 49539595934637457, 'n': 2, 'trace_an': 1}
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id: 56332731
{'hecke_orbit_code': 49539595934637457, 'n': 3, 'trace_an': 0}
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id: 56332732
{'hecke_orbit_code': 49539595934637457, 'n': 4, 'trace_an': -1}
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