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{'Nk2': 33124, 'analytic_conductor': 66.12411791382229, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[7, -1], [13, 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': [8281, 1, [1522, 3382], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 316, 'field_disc_factorization': [[2, 2], [79, 1]], 'field_poly': [2, -4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-2, -4, 1, 1]], [3, [8, -6, -2, 1]], [5, [2, -3, -2, 1]], [11, [-8, -6, 2, 1]], [17, [4, -10, 4, 1]]], 'hecke_orbit': 33, 'hecke_orbit_code': 144115188109418585, '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': '8281.2.a.bg', 'level': 8281, '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': [7, 13], 'level_radical': 91, 'minimal_twist': '91.2.a.d', 'nf_label': '3.3.316.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(1-\\beta _{1}+\\beta _{2})q^{3}+(1+\\beta _{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8281.2.a', 'trace_display': [-1, 2, 2, 0], 'trace_hash': 320507485124910560, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.074', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.855', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.003', 'prec': 17}, {'__RealLiteral__': 0, 'data': '20.407', 'prec': 20}, {'__RealLiteral__': 0, 'data': '15.648', 'prec': 20}, {'__RealLiteral__': 0, 'data': '215.130', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [3, -1, 2, 3, 2, 4, 0, -3, 7, 8, -2, 12, 0, 0, 6, -1, -4, 15, -4, -2, 0, -4, 10, -12, -5, 0, 8, 0, 24, 20, -4, -7, -16, 14, 0, -1, 0, 10, 0, 2, 2, 0, 10, -12, 22, 18, -8, -20, 0, 15, -8, 0, 8, 32, -6, 0, 2, -12, -4, 8, 6, 2, 0, -17, 0, -12, 12, -22, 6, 0, 6, 1, -10, 30, 16, -8, 0, 0, -14, -14, 3, -10, -12, 0, 10, 26, 26, 12, 2, 28, 0, -12, 22, 10, 6, -4, -10, 0, -14, 1, -32, 20, 16, 0, 0, -8, 0, -8, 0, -20, 4, 0, 12, 12, 28, 38, 0, -32, 0, -8, -17, -2, -28, 20, 0, 0, 0, 41, -14, 0, -16, -8, 0, -40, 40, 22, 8, 56, 18, 0, -50, 20, 0, -29, 12, 28, 0, -26, -20, 20, -10, 8, 16, 0, -2, 0, -4, -26, -34, -26, 0, 35, 0, -18, -28, 66, -16, 0, 0, -16, 8, -40, -8, 24, 0, 20, 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'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': 2.3429230827771703, 'hecke_orbit': 33, 'hecke_orbit_code': 144115188109418585, 'label': '8281.2.a.bg.1.1', 'level': 8281, 'weight': 2}
-
mf_newspaces • Show schema
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{'ALdims': [118, 130, 131, 123], 'Nk2': 33124, 'analytic_conductor': 66.12411791382229, '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': [8281, 1, [1522, 3382], [1, 1]], 'conrey_index': 1, 'cusp_dim': 793, 'dim': 502, 'eis_dim': 111, 'eis_new_dim': 55, 'hecke_cutter_primes': [2, 3, 5, 11, 17], 'hecke_orbit_code': 33562713, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 12, 12, 12, 12, 12, 12, 16, 24, 24, 24, 24, 32, 36, 36], 'label': '8281.2.a', 'level': 8281, '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': [7, 13], 'level_radical': 91, 'mf_dim': 904, 'mf_new_dim': 557, 'num_forms': 78, 'plus_dim': 241, 'prim_orbit_index': 1, 'relative_dim': 502, 'sturm_bound': 1698, 'trace_bound': 17, 'trace_display': [0, -4, 2, 0], 'traces': [502, 0, -4, 472, 2, 0, 0, 12, 442, 6, -4, -4, 0, 0, -4, 416, 0, 4, -12, -2, 0, 14, 6, -4, 404, 0, 2, 0, 20, 58, -4, 44, -4, 2, 0, 354, 16, -20, 0, 14, 2, 0, 22, 28, 22, 8, 8, 46, 0, 40, 6, 0, 16, 48, 16, 0, 16, 40, 16, 0, -24, -10, 0, 318, 0, 26, 0, 90, -16, 0, -28, 40, -22, 70, -54, 16, 0, 0, 34, -38, 246, 52, 24, 0, 24, -52, 16, 42, 26, 28, 0, -140, 28, -2, 22, -4, -6, 0, 0, 280, 34, -72, -26, 0, 0, -36, -76, 12, 8, -92, 12, 0, 16, 28, 0, -10, 0, 56, 0, 142, 222, 18, 40, 4, 36, 0, 56, -52, 58, 0, 22, -8, 0, -32, -60, 30, -60, 68, 24, 0, -24, -18, 0, 260, 80, -4, 0, 92, 32, -4, 16, -68, -52, 0, 24, 0, 74, -76, 50, 50, 0, -56, 48, -18, 70, -126, -32, 0, 0, -36, -8, 54, -42, 12, 0, -12, -72, -40, 18, 54, 16, 0, 110, -56, -148, -236, -4, -52, 0, -44, 2, 112, 4, -108, 0, 0, 128, 140, 40, 84, -112, 22, 0, -80, 46, -16, 54, 0, -46, 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mf_twists_cc • Show schema
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id: 48791734
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109418585, 'source_is_minimal': False, 'source_label': '8281.2.a.bg.1.1', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 144115188109418585, 'target_is_minimal': False, 'target_label': '8281.2.a.bg.1.1', 'target_level': 8281, 'twist_class_label': '91.2.a.d.1.3', 'twist_class_level': 91, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48791735
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109418585, 'source_is_minimal': False, 'source_label': '8281.2.a.bg.1.1', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052519583, 'target_is_minimal': False, 'target_label': '1183.2.a.i.1.1', 'target_level': 1183, 'twist_class_label': '91.2.a.d.1.3', 'twist_class_level': 91, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48791736
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109418585, 'source_is_minimal': False, 'source_label': '8281.2.a.bg.1.1', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40532396679889533, 'target_is_minimal': False, 'target_label': '637.2.a.j.1.3', 'target_level': 637, 'twist_class_label': '91.2.a.d.1.3', 'twist_class_level': 91, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 48791737
{'conductor': 39, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109418585, 'source_is_minimal': False, 'source_label': '8281.2.a.bg.1.1', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791463081573, 'target_is_minimal': False, 'target_label': '5733.2.a.x.1.1', 'target_level': 5733, 'twist_class_label': '91.2.a.d.1.3', 'twist_class_level': 91, 'twisting_char_label': '39.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 48791738
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109418585, 'source_is_minimal': False, 'source_label': '8281.2.a.bg.1.1', 'source_level': 8281, 'target_conrey_index': 508, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671557796477, 'target_is_minimal': False, 'target_label': '637.2.e.j.508.1', 'target_level': 637, 'twist_class_label': '91.2.a.d.1.3', 'twist_class_level': 91, 'twisting_char_label': '91.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 48791739
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109418585, 'source_is_minimal': False, 'source_label': '8281.2.a.bg.1.1', 'source_level': 8281, 'target_conrey_index': 79, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071930425981, 'target_is_minimal': False, 'target_label': '637.2.e.i.79.1', 'target_level': 637, 'twist_class_label': '91.2.a.d.1.3', 'twist_class_level': 91, 'twisting_char_label': '91.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 48791740
{'conductor': 91, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109418585, 'source_is_minimal': False, 'source_label': '8281.2.a.bg.1.1', 'source_level': 8281, 'target_conrey_index': 337, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135609361567, 'target_is_minimal': False, 'target_label': '1183.2.c.f.337.1', 'target_level': 1183, 'twist_class_label': '91.2.a.d.1.3', 'twist_class_level': 91, 'twisting_char_label': '91.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 48791741
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109418585, 'source_is_minimal': False, 'source_label': '8281.2.a.bg.1.1', 'source_level': 8281, 'target_conrey_index': 79, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671557796477, 'target_is_minimal': False, 'target_label': '637.2.e.j.79.1', 'target_level': 637, 'twist_class_label': '91.2.a.d.1.3', 'twist_class_level': 91, 'twisting_char_label': '91.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 48791742
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109418585, 'source_is_minimal': False, 'source_label': '8281.2.a.bg.1.1', 'source_level': 8281, 'target_conrey_index': 508, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071930425981, 'target_is_minimal': False, 'target_label': '637.2.e.i.508.1', 'target_level': 637, 'twist_class_label': '91.2.a.d.1.3', 'twist_class_level': 91, 'twisting_char_label': '91.51', 'twisting_conrey_index': 51, 'weight': 2}
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id: 48791743
{'conductor': 91, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109418585, 'source_is_minimal': False, 'source_label': '8281.2.a.bg.1.1', 'source_level': 8281, 'target_conrey_index': 337, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 22518135609361567, 'target_is_minimal': False, 'target_label': '1183.2.c.f.337.6', 'target_level': 1183, 'twist_class_label': '91.2.a.d.1.3', 'twist_class_level': 91, 'twisting_char_label': '91.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 48791744
{'conductor': 91, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109418585, 'source_is_minimal': False, 'source_label': '8281.2.a.bg.1.1', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13510798915666011, 'target_is_minimal': True, 'target_label': '91.2.a.d.1.3', 'target_level': 91, 'twist_class_label': '91.2.a.d.1.3', 'twist_class_level': 91, 'twisting_char_label': '91.90', 'twisting_conrey_index': 90, 'weight': 2}
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id: 48791745
{'conductor': 273, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109418585, 'source_is_minimal': False, 'source_label': '8281.2.a.bg.1.1', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052519219, 'target_is_minimal': False, 'target_label': '819.2.a.i.1.1', 'target_level': 819, 'twist_class_label': '91.2.a.d.1.3', 'twist_class_level': 91, 'twisting_char_label': '273.272', 'twisting_conrey_index': 272, 'weight': 2}
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id: 48791746
{'conductor': 364, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109418585, 'source_is_minimal': False, 'source_label': '8281.2.a.bg.1.1', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568392953595312, 'target_is_minimal': False, 'target_label': '1456.2.a.t.1.2', 'target_level': 1456, 'twist_class_label': '91.2.a.d.1.3', 'twist_class_level': 91, 'twisting_char_label': '364.363', 'twisting_conrey_index': 363, 'weight': 2}
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id: 48791747
{'conductor': 455, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109418585, 'source_is_minimal': False, 'source_label': '8281.2.a.bg.1.1', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562002659, 'target_is_minimal': False, 'target_label': '2275.2.a.m.1.1', 'target_level': 2275, 'twist_class_label': '91.2.a.d.1.3', 'twist_class_level': 91, 'twisting_char_label': '455.454', 'twisting_conrey_index': 454, 'weight': 2}
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id: 48791748
{'conductor': 728, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109418585, 'source_is_minimal': False, 'source_label': '8281.2.a.bg.1.1', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 225179981402085056, 'target_is_minimal': False, 'target_label': '5824.2.a.by.1.2', 'target_level': 5824, 'twist_class_label': '91.2.a.d.1.3', 'twist_class_level': 91, 'twisting_char_label': '728.181', 'twisting_conrey_index': 181, 'weight': 2}
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id: 48791749
{'conductor': 728, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109418585, 'source_is_minimal': False, 'source_label': '8281.2.a.bg.1.1', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 198158383637862080, 'target_is_minimal': False, 'target_label': '5824.2.a.bs.1.2', 'target_level': 5824, 'twist_class_label': '91.2.a.d.1.3', 'twist_class_level': 91, 'twisting_char_label': '728.363', 'twisting_conrey_index': 363, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4710475
{'charpoly_factorization': [[[-2, -4, 1, 1], 1]], 'hecke_orbit_code': 144115188109418585, 'p': 2}
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id: 4710476
{'charpoly_factorization': [[[8, -6, -2, 1], 1]], 'hecke_orbit_code': 144115188109418585, 'p': 3}
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id: 4710477
{'charpoly_factorization': [[[2, -3, -2, 1], 1]], 'hecke_orbit_code': 144115188109418585, 'p': 5}
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id: 4710478
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 144115188109418585, 'p': 7}
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id: 4710479
{'charpoly_factorization': [[[-8, -6, 2, 1], 1]], 'hecke_orbit_code': 144115188109418585, 'p': 11}
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id: 4710480
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 144115188109418585, 'p': 13}
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id: 4710481
{'charpoly_factorization': [[[4, -10, 4, 1], 1]], 'hecke_orbit_code': 144115188109418585, 'p': 17}
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id: 4710482
{'charpoly_factorization': [[[-4, 1, 4, 1], 1]], 'hecke_orbit_code': 144115188109418585, 'p': 19}
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id: 4710483
{'charpoly_factorization': [[[136, 1, -10, 1], 1]], 'hecke_orbit_code': 144115188109418585, 'p': 23}
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id: 4710484
{'charpoly_factorization': [[[-454, 185, -24, 1], 1]], 'hecke_orbit_code': 144115188109418585, 'p': 29}
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id: 4710485
{'charpoly_factorization': [[[16, -19, 4, 1], 1]], 'hecke_orbit_code': 144115188109418585, 'p': 31}
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id: 4710486
{'charpoly_factorization': [[[124, -58, 0, 1], 1]], 'hecke_orbit_code': 144115188109418585, 'p': 37}
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id: 4710487
{'charpoly_factorization': [[[-8, -28, -2, 1], 1]], 'hecke_orbit_code': 144115188109418585, 'p': 41}
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id: 4710488
{'charpoly_factorization': [[[628, -71, -10, 1], 1]], 'hecke_orbit_code': 144115188109418585, 'p': 43}
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id: 4710489
{'charpoly_factorization': [[[-544, -79, 8, 1], 1]], 'hecke_orbit_code': 144115188109418585, 'p': 47}
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id: 4710490
{'charpoly_factorization': [[[-22, -35, -8, 1], 1]], 'hecke_orbit_code': 144115188109418585, 'p': 53}
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id: 4710491
{'charpoly_factorization': [[[-688, -156, 4, 1], 1]], 'hecke_orbit_code': 144115188109418585, 'p': 59}
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id: 4710492
{'charpoly_factorization': [[[-2, 1], 3]], 'hecke_orbit_code': 144115188109418585, 'p': 61}
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id: 4710493
{'charpoly_factorization': [[[976, -124, -12, 1], 1]], 'hecke_orbit_code': 144115188109418585, 'p': 67}
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id: 4710494
{'charpoly_factorization': [[[-16, -22, -6, 1], 1]], 'hecke_orbit_code': 144115188109418585, 'p': 71}
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id: 4710495
{'charpoly_factorization': [[[-274, -99, 10, 1], 1]], 'hecke_orbit_code': 144115188109418585, 'p': 73}
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id: 4710496
{'charpoly_factorization': [[[-16, 5, 14, 1], 1]], 'hecke_orbit_code': 144115188109418585, 'p': 79}
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id: 4710497
{'charpoly_factorization': [[[-3268, -271, 12, 1], 1]], 'hecke_orbit_code': 144115188109418585, 'p': 83}
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id: 4710498
{'charpoly_factorization': [[[422, -95, -2, 1], 1]], 'hecke_orbit_code': 144115188109418585, 'p': 89}
-
id: 4710499
{'charpoly_factorization': [[[22, 29, 10, 1], 1]], 'hecke_orbit_code': 144115188109418585, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 33, 'label': '8281.2.a.bg', 'level': 8281, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 69166165
{'hecke_orbit_code': 144115188109418585, 'n': 1, 'trace_an': 3}
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id: 69166166
{'hecke_orbit_code': 144115188109418585, 'n': 2, 'trace_an': -1}
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id: 69166167
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id: 69166422
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