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{'Nk2': 27900, 'analytic_conductor': 55.69565540984307, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 1], [31, -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': [6975, 1, [776, 5302, 1801], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 564, 'field_disc_factorization': [[2, 2], [3, 1], [47, 1]], 'field_poly': [3, -5, -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, [3, -5, -1, 1]], [7, [6, 16, 8, 1]], [11, [-24, -20, 2, 1]], [13, [-6, 0, 4, 1]], [17, [4, -4, -4, 1]], [29, [-114, -66, -2, 1]]], 'hecke_orbit': 32, 'hecke_orbit_code': 139611588482046783, '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': '6975.2.a.bf', 'level': 6975, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 31], 'level_radical': 465, 'minimal_twist': '465.2.a.e', 'nf_label': '3.3.564.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(2+\\beta _{2})q^{4}+(-3+\\beta _{1})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6975.2.a', 'trace_display': [1, 0, 0, -8], 'trace_hash': 933083783440455694, 'trace_moments': [{'__RealLiteral__': 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2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.571993268316203, 'hecke_orbit': 32, 'hecke_orbit_code': 139611588482046783, 'label': '6975.2.a.bf.1.2', 'level': 6975, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [20, 26, 30, 18, 35, 32, 35, 41], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [89, 100, 90, 96, 91, 76, 79, 79], 'Nk2': 27900, 'analytic_conductor': 55.69565540984307, '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': [6975, 1, [776, 5302, 1801], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 937, 'dim': 237, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11, 13, 17, 29], 'hecke_orbit_code': 33561407, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 8, 8, 8, 10, 11, 11, 16], 'label': '6975.2.a', 'level': 6975, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 31], 'level_radical': 465, 'mf_dim': 984, 'mf_new_dim': 237, 'num_forms': 63, 'plus_dim': 105, 'prim_orbit_index': 1, 'relative_dim': 237, 'sturm_bound': 1920, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [237, 0, 0, 238, 0, 0, 0, -3, 0, 0, 0, 0, 0, -7, 0, 248, -8, 0, 4, 0, 0, 6, 6, 0, 0, 36, 0, 9, 32, 0, -3, -6, 0, 16, 0, 0, -2, -7, 0, 0, 0, 0, 30, 42, 0, 26, -28, 0, 211, 0, 0, 6, 6, 0, 0, 6, 0, 10, -28, 0, 12, -4, 0, 317, 0, 0, 48, 18, 0, 0, 36, 0, 14, -20, 0, 9, 24, 0, -18, 0, 0, 11, -12, 0, 0, 20, 0, 28, 20, 0, -14, 8, 0, -40, 0, 0, -4, 7, 0, 0, 48, 0, 0, 68, 0, 62, 52, 0, 20, 0, 0, 21, -44, 0, 0, 88, 0, -5, 10, 0, 273, -36, 0, -6, 0, 0, 8, -40, 0, 0, 72, 0, -2, -24, 0, 20, 8, 0, 60, 0, 0, -49, -20, 0, 0, -60, 0, 108, 138, 0, -42, -30, 0, 82, 0, 0, -32, 100, 0, 0, -42, 0, 20, 29, 0, -54, 112, 0, 255, 0, 0, 46, -14, 0, 0, 102, 0, 42, -6, 0, 36, -78, 0, 42, 0, 0, -24, -4, 0, 0, 104, 0, 64, 33, 0, 303, -42, 0, 16, 0, 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-677, 0, -8, -252, 0, 148, 0, 0, 530, 52, 0, 0, 110, 0, 33, -2, 0, 237, -88, 0, -304, 0, 0, -44, -407, 0, 0, 172, 0, 112, -150, 0, -668, -8, 0, -72, 0, 0, -132, 112, 0, 0, -436, 0, 112, 196, 0, -42, -14, 0, -527, 0, 0, 248, -202, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48762324
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482046783, 'source_is_minimal': False, 'source_label': '6975.2.a.bf.1.2', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 139611588482046783, 'target_is_minimal': False, 'target_label': '6975.2.a.bf.1.2', 'target_level': 6975, 'twist_class_label': '465.2.a.e.1.2', 'twist_class_level': 465, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48762325
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482046783, 'source_is_minimal': False, 'source_label': '6975.2.a.bf.1.2', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561193698855189, 'target_is_minimal': False, 'target_label': '2325.2.a.r.1.2', 'target_level': 2325, 'twist_class_label': '465.2.a.e.1.2', 'twist_class_level': 465, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48762326
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482046783, 'source_is_minimal': False, 'source_label': '6975.2.a.bf.1.2', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396679890291, 'target_is_minimal': False, 'target_label': '1395.2.a.j.1.2', 'target_level': 1395, 'twist_class_label': '465.2.a.e.1.2', 'twist_class_level': 465, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48762327
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482046783, 'source_is_minimal': False, 'source_label': '6975.2.a.bf.1.2', 'source_level': 6975, 'target_conrey_index': 1024, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 45036133746215189, 'target_is_minimal': False, 'target_label': '2325.2.c.k.1024.3', 'target_level': 2325, 'twist_class_label': '465.2.a.e.1.2', 'twist_class_level': 465, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48762328
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482046783, 'source_is_minimal': False, 'source_label': '6975.2.a.bf.1.2', 'source_level': 6975, 'target_conrey_index': 1024, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45036133746215189, 'target_is_minimal': False, 'target_label': '2325.2.c.k.1024.4', 'target_level': 2325, 'twist_class_label': '465.2.a.e.1.2', 'twist_class_level': 465, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 48762329
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482046783, 'source_is_minimal': False, 'source_label': '6975.2.a.bf.1.2', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398543036881, 'target_is_minimal': True, 'target_label': '465.2.a.e.1.2', 'target_level': 465, 'twist_class_label': '465.2.a.e.1.2', 'twist_class_level': 465, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48762330
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482046783, 'source_is_minimal': False, 'source_label': '6975.2.a.bf.1.2', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 198158383637863696, 'target_is_minimal': False, 'target_label': '7440.2.a.bs.1.2', 'target_level': 7440, 'twist_class_label': '465.2.a.e.1.2', 'twist_class_level': 465, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4342175
{'charpoly_factorization': [[[3, -5, -1, 1], 1]], 'hecke_orbit_code': 139611588482046783, 'p': 2}
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id: 4342176
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 139611588482046783, 'p': 3}
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id: 4342177
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 139611588482046783, 'p': 5}
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id: 4342178
{'charpoly_factorization': [[[6, 16, 8, 1], 1]], 'hecke_orbit_code': 139611588482046783, 'p': 7}
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id: 4342179
{'charpoly_factorization': [[[-24, -20, 2, 1], 1]], 'hecke_orbit_code': 139611588482046783, 'p': 11}
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id: 4342180
{'charpoly_factorization': [[[-6, 0, 4, 1], 1]], 'hecke_orbit_code': 139611588482046783, 'p': 13}
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id: 4342181
{'charpoly_factorization': [[[4, -4, -4, 1], 1]], 'hecke_orbit_code': 139611588482046783, 'p': 17}
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id: 4342182
{'charpoly_factorization': [[[-96, -32, 4, 1], 1]], 'hecke_orbit_code': 139611588482046783, 'p': 19}
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id: 4342183
{'charpoly_factorization': [[[4, -12, -6, 1], 1]], 'hecke_orbit_code': 139611588482046783, 'p': 23}
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id: 4342184
{'charpoly_factorization': [[[-114, -66, -2, 1], 1]], 'hecke_orbit_code': 139611588482046783, 'p': 29}
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id: 4342185
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 139611588482046783, 'p': 31}
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id: 4342186
{'charpoly_factorization': [[[18, 28, 10, 1], 1]], 'hecke_orbit_code': 139611588482046783, 'p': 37}
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id: 4342187
{'charpoly_factorization': [[[48, 0, -8, 1], 1]], 'hecke_orbit_code': 139611588482046783, 'p': 41}
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id: 4342188
{'charpoly_factorization': [[[-24, 12, 10, 1], 1]], 'hecke_orbit_code': 139611588482046783, 'p': 43}
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id: 4342189
{'charpoly_factorization': [[[-508, -52, 10, 1], 1]], 'hecke_orbit_code': 139611588482046783, 'p': 47}
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id: 4342190
{'charpoly_factorization': [[[-36, -24, 0, 1], 1]], 'hecke_orbit_code': 139611588482046783, 'p': 53}
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id: 4342191
{'charpoly_factorization': [[[6, 10, -8, 1], 1]], 'hecke_orbit_code': 139611588482046783, 'p': 59}
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id: 4342192
{'charpoly_factorization': [[[2, 1], 3]], 'hecke_orbit_code': 139611588482046783, 'p': 61}
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id: 4342193
{'charpoly_factorization': [[[-82, 72, 18, 1], 1]], 'hecke_orbit_code': 139611588482046783, 'p': 67}
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id: 4342194
{'charpoly_factorization': [[[-258, -66, 10, 1], 1]], 'hecke_orbit_code': 139611588482046783, 'p': 71}
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id: 4342195
{'charpoly_factorization': [[[-106, 60, 18, 1], 1]], 'hecke_orbit_code': 139611588482046783, 'p': 73}
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id: 4342196
{'charpoly_factorization': [[[36, 96, -20, 1], 1]], 'hecke_orbit_code': 139611588482046783, 'p': 79}
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id: 4342197
{'charpoly_factorization': [[[492, 76, -22, 1], 1]], 'hecke_orbit_code': 139611588482046783, 'p': 83}
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id: 4342198
{'charpoly_factorization': [[[-1394, -262, 8, 1], 1]], 'hecke_orbit_code': 139611588482046783, 'p': 89}
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id: 4342199
{'charpoly_factorization': [[[-1488, -168, 8, 1], 1]], 'hecke_orbit_code': 139611588482046783, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 32, 'label': '6975.2.a.bf', 'level': 6975, 'portrait': 'data:image/png;base64,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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 68872561
{'hecke_orbit_code': 139611588482046783, 'n': 1, 'trace_an': 3}
-
id: 68872562
{'hecke_orbit_code': 139611588482046783, 'n': 2, 'trace_an': 1}
-
id: 68872563
{'hecke_orbit_code': 139611588482046783, 'n': 3, 'trace_an': 0}
-
id: 68872564
{'hecke_orbit_code': 139611588482046783, 'n': 4, 'trace_an': 5}
-
id: 68872565
{'hecke_orbit_code': 139611588482046783, 'n': 5, 'trace_an': 0}
-
id: 68872566
{'hecke_orbit_code': 139611588482046783, 'n': 6, 'trace_an': 0}
-
id: 68872567
{'hecke_orbit_code': 139611588482046783, 'n': 7, 'trace_an': -8}
-
id: 68872568
{'hecke_orbit_code': 139611588482046783, 'n': 8, 'trace_an': 3}
-
id: 68872569
{'hecke_orbit_code': 139611588482046783, 'n': 9, 'trace_an': 0}
-
id: 68872570
{'hecke_orbit_code': 139611588482046783, 'n': 10, 'trace_an': 0}
-
id: 68872571
{'hecke_orbit_code': 139611588482046783, 'n': 11, 'trace_an': -2}
-
id: 68872572
{'hecke_orbit_code': 139611588482046783, 'n': 12, 'trace_an': 0}
-
id: 68872573
{'hecke_orbit_code': 139611588482046783, 'n': 13, 'trace_an': -4}
-
id: 68872574
{'hecke_orbit_code': 139611588482046783, 'n': 14, 'trace_an': 8}
-
id: 68872575
{'hecke_orbit_code': 139611588482046783, 'n': 15, 'trace_an': 0}
-
id: 68872576
{'hecke_orbit_code': 139611588482046783, 'n': 16, 'trace_an': 5}
-
id: 68872577
{'hecke_orbit_code': 139611588482046783, 'n': 17, 'trace_an': 4}
-
id: 68872578
{'hecke_orbit_code': 139611588482046783, 'n': 18, 'trace_an': 0}
-
id: 68872579
{'hecke_orbit_code': 139611588482046783, 'n': 19, 'trace_an': -4}
-
id: 68872580
{'hecke_orbit_code': 139611588482046783, 'n': 20, 'trace_an': 0}
-
id: 68872581
{'hecke_orbit_code': 139611588482046783, 'n': 21, 'trace_an': 0}
-
id: 68872582
{'hecke_orbit_code': 139611588482046783, 'n': 22, 'trace_an': -22}
-
id: 68872583
{'hecke_orbit_code': 139611588482046783, 'n': 23, 'trace_an': 6}
-
id: 68872584
{'hecke_orbit_code': 139611588482046783, 'n': 24, 'trace_an': 0}
-
id: 68872585
{'hecke_orbit_code': 139611588482046783, 'n': 25, 'trace_an': 0}
-
id: 68872586
{'hecke_orbit_code': 139611588482046783, 'n': 26, 'trace_an': -12}
-
id: 68872587
{'hecke_orbit_code': 139611588482046783, 'n': 27, 'trace_an': 0}
-
id: 68872588
{'hecke_orbit_code': 139611588482046783, 'n': 28, 'trace_an': -10}
-
id: 68872589
{'hecke_orbit_code': 139611588482046783, 'n': 29, 'trace_an': 2}
-
id: 68872590
{'hecke_orbit_code': 139611588482046783, 'n': 30, 'trace_an': 0}
-
id: 68872591
{'hecke_orbit_code': 139611588482046783, 'n': 31, 'trace_an': 3}
-
id: 68872592
{'hecke_orbit_code': 139611588482046783, 'n': 32, 'trace_an': 17}
-
id: 68872593
{'hecke_orbit_code': 139611588482046783, 'n': 33, 'trace_an': 0}
-
id: 68872594
{'hecke_orbit_code': 139611588482046783, 'n': 34, 'trace_an': -2}
-
id: 68872595
{'hecke_orbit_code': 139611588482046783, 'n': 35, 'trace_an': 0}
-
id: 68872596
{'hecke_orbit_code': 139611588482046783, 'n': 36, 'trace_an': 0}
-
id: 68872597
{'hecke_orbit_code': 139611588482046783, 'n': 37, 'trace_an': -10}
-
id: 68872598
{'hecke_orbit_code': 139611588482046783, 'n': 38, 'trace_an': -8}
-
id: 68872599
{'hecke_orbit_code': 139611588482046783, 'n': 39, 'trace_an': 0}
-
id: 68872600
{'hecke_orbit_code': 139611588482046783, 'n': 40, 'trace_an': 0}
-
id: 68872601
{'hecke_orbit_code': 139611588482046783, 'n': 41, 'trace_an': 8}
-
id: 68872602
{'hecke_orbit_code': 139611588482046783, 'n': 42, 'trace_an': 0}
-
id: 68872603
{'hecke_orbit_code': 139611588482046783, 'n': 43, 'trace_an': -10}
-
id: 68872604
{'hecke_orbit_code': 139611588482046783, 'n': 44, 'trace_an': -10}
-
id: 68872605
{'hecke_orbit_code': 139611588482046783, 'n': 45, 'trace_an': 0}
-
id: 68872606
{'hecke_orbit_code': 139611588482046783, 'n': 46, 'trace_an': -16}
-
id: 68872607
{'hecke_orbit_code': 139611588482046783, 'n': 47, 'trace_an': -10}
-
id: 68872608
{'hecke_orbit_code': 139611588482046783, 'n': 48, 'trace_an': 0}
-
id: 68872609
{'hecke_orbit_code': 139611588482046783, 'n': 49, 'trace_an': 11}
-
id: 68872610
{'hecke_orbit_code': 139611588482046783, 'n': 50, 'trace_an': 0}
-
id: 68872611
{'hecke_orbit_code': 139611588482046783, 'n': 51, 'trace_an': 0}
-
id: 68872612
{'hecke_orbit_code': 139611588482046783, 'n': 52, 'trace_an': -10}
-
id: 68872613
{'hecke_orbit_code': 139611588482046783, 'n': 53, 'trace_an': 0}
-
id: 68872614
{'hecke_orbit_code': 139611588482046783, 'n': 54, 'trace_an': 0}
-
id: 68872615
{'hecke_orbit_code': 139611588482046783, 'n': 55, 'trace_an': 0}
-
id: 68872616
{'hecke_orbit_code': 139611588482046783, 'n': 56, 'trace_an': 6}
-
id: 68872617
{'hecke_orbit_code': 139611588482046783, 'n': 57, 'trace_an': 0}
-
id: 68872618
{'hecke_orbit_code': 139611588482046783, 'n': 58, 'trace_an': 36}
-
id: 68872619
{'hecke_orbit_code': 139611588482046783, 'n': 59, 'trace_an': 8}
-
id: 68872620
{'hecke_orbit_code': 139611588482046783, 'n': 60, 'trace_an': 0}
-
id: 68872621
{'hecke_orbit_code': 139611588482046783, 'n': 61, 'trace_an': -6}
-
id: 68872622
{'hecke_orbit_code': 139611588482046783, 'n': 62, 'trace_an': 1}
-
id: 68872623
{'hecke_orbit_code': 139611588482046783, 'n': 63, 'trace_an': 0}
-
id: 68872624
{'hecke_orbit_code': 139611588482046783, 'n': 64, 'trace_an': -15}
-
id: 68872625
{'hecke_orbit_code': 139611588482046783, 'n': 65, 'trace_an': 0}
-
id: 68872626
{'hecke_orbit_code': 139611588482046783, 'n': 66, 'trace_an': 0}
-
id: 68872627
{'hecke_orbit_code': 139611588482046783, 'n': 67, 'trace_an': -18}
-
id: 68872628
{'hecke_orbit_code': 139611588482046783, 'n': 68, 'trace_an': -12}
-
id: 68872629
{'hecke_orbit_code': 139611588482046783, 'n': 69, 'trace_an': 0}
-
id: 68872630
{'hecke_orbit_code': 139611588482046783, 'n': 70, 'trace_an': 0}
-
id: 68872631
{'hecke_orbit_code': 139611588482046783, 'n': 71, 'trace_an': -10}
-
id: 68872632
{'hecke_orbit_code': 139611588482046783, 'n': 72, 'trace_an': 0}
-
id: 68872633
{'hecke_orbit_code': 139611588482046783, 'n': 73, 'trace_an': -18}
-
id: 68872634
{'hecke_orbit_code': 139611588482046783, 'n': 74, 'trace_an': -14}
-
id: 68872635
{'hecke_orbit_code': 139611588482046783, 'n': 75, 'trace_an': 0}
-
id: 68872636
{'hecke_orbit_code': 139611588482046783, 'n': 76, 'trace_an': -44}
-
id: 68872637
{'hecke_orbit_code': 139611588482046783, 'n': 77, 'trace_an': -16}
-
id: 68872638
{'hecke_orbit_code': 139611588482046783, 'n': 78, 'trace_an': 0}
-
id: 68872639
{'hecke_orbit_code': 139611588482046783, 'n': 79, 'trace_an': 20}
-
id: 68872640
{'hecke_orbit_code': 139611588482046783, 'n': 80, 'trace_an': 0}
-
id: 68872641
{'hecke_orbit_code': 139611588482046783, 'n': 81, 'trace_an': 0}
-
id: 68872642
{'hecke_orbit_code': 139611588482046783, 'n': 82, 'trace_an': 24}
-
id: 68872643
{'hecke_orbit_code': 139611588482046783, 'n': 83, 'trace_an': 22}
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