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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': 8, 'field_disc': 14884000000, 'field_disc_factorization': [[2, 8], [5, 6], [61, 2]], 'field_poly': [1, 0, -31, 0, 36, 0, -11, 0, 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': 1, 'hecke_cutters': [[2, [1, 0, -31, 0, 36, 0, -11, 0, 1]], [5, [16, 0, -116, 0, 121, 0, -21, 0, 1]], [7, [5, 20, -15, 0, 1]], [19, [5, -5, 1]]], 'hecke_orbit': 32, 'hecke_orbit_code': 139611588482047377, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], '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': True, 'label': '7569.2.a.bf', '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': '7569.2.a.bf', 'nf_label': '8.8.14884000000.2', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+(-\\beta _{1}-\\beta _{6}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7569.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 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mf_hecke_cc • Show schema
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-0.2124899157719603, -0.2613862481145395, -0.22680720321122344, -0.22770352456154042, -0.3336560734923606, -0.10555661128376727, -0.16714230320376283, -0.05068489981119004, -0.3609092321320576, -0.4281784450338316, -0.1628373155959476, -0.3709775548751937, -0.3283783636046477, -0.2467319609216509, -0.22659910829463298, -0.2946828547313597, -0.2680083940514727, -0.1839754030685069, -0.3465630970652002, -0.09587265683895112, -0.3189017293965373, -0.2255098782997467], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 3, 'dual_embedding_m': 3, 'embedding_index': 3, 'embedding_m': 3, 'embedding_root_imag': 0.0, 'embedding_root_real': -1.1337040713928122, 'hecke_orbit': 32, 'hecke_orbit_code': 139611588482047377, 'label': '7569.2.a.bf.1.3', 'level': 7569, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [61, 75, 98, 91], '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, -32, 0, 60, 52, 0, -10, -20, 0, -54, 68, 0, 0, 62, 0, -38, -16, 0, -20, -12, 0, 6, 75, 0, -46, -42, 0, 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122, 0, -314, 0, 0, 252, -12, 0, 226, 222, 0, 120, -16, 0, 10, -100, 0, 290], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48764196
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 139611588482047377, 'source_is_minimal': True, 'source_label': '7569.2.a.bf.1.3', 'source_level': 7569, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 139611588482047377, 'target_is_minimal': True, 'target_label': '7569.2.a.bf.1.3', 'target_level': 7569, 'twist_class_label': '7569.2.a.bf.1.3', 'twist_class_level': 7569, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48764197
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 139611588482047377, 'source_is_minimal': True, 'source_label': '7569.2.a.bf.1.3', 'source_level': 7569, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 139611588482047377, 'target_is_minimal': True, 'target_label': '7569.2.a.bf.1.6', 'target_level': 7569, 'twist_class_label': '7569.2.a.bf.1.3', 'twist_class_level': 7569, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48764198
{'conductor': 29, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 139611588482047377, 'source_is_minimal': True, 'source_label': '7569.2.a.bf.1.3', 'source_level': 7569, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 144115188109417873, 'target_is_minimal': True, 'target_label': '7569.2.a.bg.1.6', 'target_level': 7569, 'twist_class_label': '7569.2.a.bf.1.3', 'twist_class_level': 7569, 'twisting_char_label': '29.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 48764199
{'conductor': 87, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 139611588482047377, 'source_is_minimal': True, 'source_label': '7569.2.a.bf.1.3', 'source_level': 7569, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 144115188109417873, 'target_is_minimal': True, 'target_label': '7569.2.a.bg.1.3', 'target_level': 7569, 'twist_class_label': '7569.2.a.bf.1.3', 'twist_class_level': 7569, 'twisting_char_label': '87.86', 'twisting_conrey_index': 86, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4512225
{'charpoly_factorization': [[[1, 0, -31, 0, 36, 0, -11, 0, 1], 1]], 'hecke_orbit_code': 139611588482047377, 'p': 2}
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id: 4512226
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 139611588482047377, 'p': 3}
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id: 4512227
{'charpoly_factorization': [[[16, 0, -116, 0, 121, 0, -21, 0, 1], 1]], 'hecke_orbit_code': 139611588482047377, 'p': 5}
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id: 4512228
{'charpoly_factorization': [[[5, 20, -15, 0, 1], 2]], 'hecke_orbit_code': 139611588482047377, 'p': 7}
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id: 4512229
{'charpoly_factorization': [[[1936, 0, -3924, 0, 821, 0, -54, 0, 1], 1]], 'hecke_orbit_code': 139611588482047377, 'p': 11}
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id: 4512230
{'charpoly_factorization': [[[1, 9, -14, -1, 1], 2]], 'hecke_orbit_code': 139611588482047377, 'p': 13}
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id: 4512231
{'charpoly_factorization': [[[4096, 0, -12544, 0, 1936, 0, -84, 0, 1], 1]], 'hecke_orbit_code': 139611588482047377, 'p': 17}
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id: 4512232
{'charpoly_factorization': [[[5, -5, 1], 4]], 'hecke_orbit_code': 139611588482047377, 'p': 19}
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id: 4512233
{'charpoly_factorization': [[[633616, 0, -132884, 0, 7321, 0, -149, 0, 1], 1]], 'hecke_orbit_code': 139611588482047377, 'p': 23}
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id: 4512234
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 139611588482047377, 'p': 29}
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id: 4512235
{'charpoly_factorization': [[[5, 5, -10, -5, 1], 2]], 'hecke_orbit_code': 139611588482047377, 'p': 31}
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id: 4512236
{'charpoly_factorization': [[[-4, 326, -39, -9, 1], 2]], 'hecke_orbit_code': 139611588482047377, 'p': 37}
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id: 4512237
{'charpoly_factorization': [[[38416, 0, -125636, 0, 8181, 0, -166, 0, 1], 1]], 'hecke_orbit_code': 139611588482047377, 'p': 41}
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id: 4512238
{'charpoly_factorization': [[[3041, 846, -69, -14, 1], 2]], 'hecke_orbit_code': 139611588482047377, 'p': 43}
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id: 4512239
{'charpoly_factorization': [[[1936, 0, -115396, 0, 12801, 0, -221, 0, 1], 1]], 'hecke_orbit_code': 139611588482047377, 'p': 47}
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id: 4512240
{'charpoly_factorization': [[[976, 0, -68, 0, 1], 2]], 'hecke_orbit_code': 139611588482047377, 'p': 53}
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id: 4512241
{'charpoly_factorization': [[[246016, 0, -454176, 0, 19901, 0, -261, 0, 1], 1]], 'hecke_orbit_code': 139611588482047377, 'p': 59}
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id: 4512242
{'charpoly_factorization': [[[941, -933, 254, -27, 1], 2]], 'hecke_orbit_code': 139611588482047377, 'p': 61}
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id: 4512243
{'charpoly_factorization': [[[-4519, 981, 36, -19, 1], 2]], 'hecke_orbit_code': 139611588482047377, 'p': 67}
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id: 4512244
{'charpoly_factorization': [[[93702400, 0, -4694800, 0, 74485, 0, -465, 0, 1], 1]], 'hecke_orbit_code': 139611588482047377, 'p': 71}
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id: 4512245
{'charpoly_factorization': [[[6151, -658, -161, 8, 1], 2]], 'hecke_orbit_code': 139611588482047377, 'p': 73}
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id: 4512246
{'charpoly_factorization': [[[1991, 387, -96, -7, 1], 2]], 'hecke_orbit_code': 139611588482047377, 'p': 79}
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id: 4512247
{'charpoly_factorization': [[[91317136, 0, -5395076, 0, 88941, 0, -526, 0, 1], 1]], 'hecke_orbit_code': 139611588482047377, 'p': 83}
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id: 4512248
{'charpoly_factorization': [[[190096, 0, -123944, 0, 18501, 0, -274, 0, 1], 1]], 'hecke_orbit_code': 139611588482047377, 'p': 89}
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id: 4512249
{'charpoly_factorization': [[[4516, -388, -221, 3, 1], 2]], 'hecke_orbit_code': 139611588482047377, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 32, 'label': '7569.2.a.bf', '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: 68894233
{'hecke_orbit_code': 139611588482047377, 'n': 1, 'trace_an': 8}
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id: 68894234
{'hecke_orbit_code': 139611588482047377, 'n': 2, 'trace_an': 0}
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id: 68894235
{'hecke_orbit_code': 139611588482047377, 'n': 3, 'trace_an': 0}
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id: 68894236
{'hecke_orbit_code': 139611588482047377, 'n': 4, 'trace_an': 6}
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id: 68894237
{'hecke_orbit_code': 139611588482047377, 'n': 5, 'trace_an': 0}
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id: 68894238
{'hecke_orbit_code': 139611588482047377, 'n': 6, 'trace_an': 0}
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id: 68894239
{'hecke_orbit_code': 139611588482047377, 'n': 7, 'trace_an': 0}
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id: 68894240
{'hecke_orbit_code': 139611588482047377, 'n': 8, 'trace_an': 0}
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id: 68894241
{'hecke_orbit_code': 139611588482047377, 'n': 9, 'trace_an': 0}
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id: 68894242
{'hecke_orbit_code': 139611588482047377, 'n': 10, 'trace_an': -12}
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id: 68894243
{'hecke_orbit_code': 139611588482047377, 'n': 11, 'trace_an': 0}
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id: 68894244
{'hecke_orbit_code': 139611588482047377, 'n': 12, 'trace_an': 0}
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id: 68894245
{'hecke_orbit_code': 139611588482047377, 'n': 13, 'trace_an': 2}
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id: 68894246
{'hecke_orbit_code': 139611588482047377, 'n': 14, 'trace_an': 0}
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id: 68894247
{'hecke_orbit_code': 139611588482047377, 'n': 15, 'trace_an': 0}
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id: 68894248
{'hecke_orbit_code': 139611588482047377, 'n': 16, 'trace_an': -2}
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id: 68894249
{'hecke_orbit_code': 139611588482047377, 'n': 17, 'trace_an': 0}
-
id: 68894250
{'hecke_orbit_code': 139611588482047377, 'n': 18, 'trace_an': 0}
-
id: 68894251
{'hecke_orbit_code': 139611588482047377, 'n': 19, 'trace_an': 20}
-
id: 68894252
{'hecke_orbit_code': 139611588482047377, 'n': 20, 'trace_an': 0}
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id: 68894253
{'hecke_orbit_code': 139611588482047377, 'n': 21, 'trace_an': 0}
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id: 68894254
{'hecke_orbit_code': 139611588482047377, 'n': 22, 'trace_an': -14}
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id: 68894255
{'hecke_orbit_code': 139611588482047377, 'n': 23, 'trace_an': 0}
-
id: 68894256
{'hecke_orbit_code': 139611588482047377, 'n': 24, 'trace_an': 0}
-
id: 68894257
{'hecke_orbit_code': 139611588482047377, 'n': 25, 'trace_an': 2}
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id: 68894258
{'hecke_orbit_code': 139611588482047377, 'n': 26, 'trace_an': 0}
-
id: 68894259
{'hecke_orbit_code': 139611588482047377, 'n': 27, 'trace_an': 0}
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