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{'Nk2': 31740, 'analytic_conductor': 63.36129400388599, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, 1], [23, 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': [7935, 1, [5291, 4762, 7411], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 10, 'field_disc': 301121501405904896, 'field_disc_factorization': [[2, 19], [41, 1], [14008382537, 1]], 'field_poly': [-18, -60, 218, 32, -270, -4, 111, 0, -18, 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': 0, 'hecke_cutters': [[2, [-18, -60, 218, 32, -270, -4, 111, 0, -18, 0, 1]], [7, [-164, -488, 2328, -1856, -705, 962, 103, -160, -23, 6, 1]], [11, [1152, -5376, 32, 18688, -3502, -4476, 1050, 248, -62, -4, 1]]], 'hecke_orbit': 36, 'hecke_orbit_code': 157625986991529727, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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': True, 'label': '7935.2.a.bj', 'level': 7935, '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, 23], 'level_radical': 345, 'minimal_twist': '7935.2.a.bj', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-q^{3}+(2+\\beta _{2})q^{4}-q^{5}-\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 10, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7935.2.a', 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mf_hecke_cc • Show schema
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-0.352769189320761, -0.14375129782976426, -0.2849725418167997, -0.36947694739213865, -0.19399116656972126, -0.3157418323227112, -0.041876358907516134, -0.20706640958528325, -0.3354455568973215, -0.233131684490137, -0.3014620562447389], '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': -1.8013280592938632, 'hecke_orbit': 36, 'hecke_orbit_code': 157625986991529727, 'label': '7935.2.a.bj.1.3', 'level': 7935, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [41, 44, 51, 33, 43, 40, 33, 51], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 12, 12, 12, 12, 12, 12], 'ALdims_old': [80, 98, 93, 89, 89, 92, 99, 81], 'Nk2': 31740, 'analytic_conductor': 63.36129400388599, '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': [7935, 1, [5291, 4762, 7411], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1057, 'dim': 336, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33562367, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 8, 8, 10, 10, 12, 12, 15, 15, 15, 15, 16, 16, 25, 25, 25, 25], 'label': '7935.2.a', 'level': 7935, '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, 23], 'level_radical': 345, 'mf_dim': 1152, 'mf_new_dim': 336, 'num_forms': 49, 'plus_dim': 147, 'prim_orbit_index': 1, 'relative_dim': 336, 'sturm_bound': 2208, 'trace_bound': 7, 'trace_display': [4, -2, 0, 0], 'traces': [336, 4, -2, 340, 0, 2, 0, 12, 336, 4, 16, -6, -8, -8, 2, 340, 0, 4, 8, -8, -8, -8, 0, -6, 336, 24, -2, 8, 16, 2, 16, 28, 0, -24, 8, 340, 16, 8, -4, 12, 24, 0, 8, 24, 0, 0, 16, 2, 328, 4, 12, -32, -8, 2, 0, -32, -16, 24, 0, 6, -16, -32, 0, 348, 16, 16, 8, 24, 0, -24, 24, 12, 8, 0, -2, 0, -40, -28, 8, 0, 336, 32, -8, -8, 8, 0, -20, 16, 8, 4, -32, 0, -16, 24, 0, -30, 0, 44, 16, 340, 16, 36, -8, 88, 0, 16, 16, -6, -8, -24, 4, 64, 56, 24, 0, 64, -8, -8, -8, -6, 376, -64, -12, 40, 0, -8, -48, 4, -16, 8, 8, -8, -8, -64, 2, -48, 24, 0, 40, 0, 24, 16, -40, 340, 24, -120, -18, 48, 16, 2, 8, -64, 0, -32, 0, 44, 8, -64, -28, 28, 0, 4, -56, 16, 0, 40, 8, 72, 384, 24, 8, 32, 88, 36, 0, -16, 32, 8, 40, -8, 88, -8, 4, 0, 16, 24, 64, -80, -8, -16, -96, 74, 16, 16, 4, 316, 72, 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mf_twists_cc • Show schema
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id: 48856269
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 3, 'source_hecke_orbit_code': 157625986991529727, 'source_is_minimal': True, 'source_label': '7935.2.a.bj.1.3', 'source_level': 7935, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 3, 'target_hecke_orbit_code': 157625986991529727, 'target_is_minimal': True, 'target_label': '7935.2.a.bj.1.3', 'target_level': 7935, 'twist_class_label': '7935.2.a.bj.1.3', 'twist_class_level': 7935, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48856270
{'conductor': 23, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 3, 'source_hecke_orbit_code': 157625986991529727, 'source_is_minimal': True, 'source_label': '7935.2.a.bj.1.3', 'source_level': 7935, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 3, 'target_hecke_orbit_code': 162129586618900223, 'target_is_minimal': True, 'target_label': '7935.2.a.bk.1.3', 'target_level': 7935, 'twist_class_label': '7935.2.a.bj.1.3', 'twist_class_level': 7935, 'twisting_char_label': '23.22', 'twisting_conrey_index': 22, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4612475
{'charpoly_factorization': [[[-18, -60, 218, 32, -270, -4, 111, 0, -18, 0, 1], 1]], 'hecke_orbit_code': 157625986991529727, 'p': 2}
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id: 4612476
{'charpoly_factorization': [[[1, 1], 10]], 'hecke_orbit_code': 157625986991529727, 'p': 3}
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id: 4612477
{'charpoly_factorization': [[[1, 1], 10]], 'hecke_orbit_code': 157625986991529727, 'p': 5}
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id: 4612478
{'charpoly_factorization': [[[-164, -488, 2328, -1856, -705, 962, 103, -160, -23, 6, 1], 1]], 'hecke_orbit_code': 157625986991529727, 'p': 7}
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id: 4612479
{'charpoly_factorization': [[[1152, -5376, 32, 18688, -3502, -4476, 1050, 248, -62, -4, 1], 1]], 'hecke_orbit_code': 157625986991529727, 'p': 11}
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id: 4612480
{'charpoly_factorization': [[[9216, -29184, 26816, -32, -9602, 1776, 1228, -184, -62, 4, 1], 1]], 'hecke_orbit_code': 157625986991529727, 'p': 13}
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id: 4612481
{'charpoly_factorization': [[[-157968, 264384, 102184, -120952, -15281, 14386, 1201, -644, -55, 10, 1], 1]], 'hecke_orbit_code': 157625986991529727, 'p': 17}
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id: 4612482
{'charpoly_factorization': [[[2949704, 360800, -1361976, -494416, 44498, 38968, 2060, -996, -100, 8, 1], 1]], 'hecke_orbit_code': 157625986991529727, 'p': 19}
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id: 4612483
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 157625986991529727, 'p': 23}
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id: 4612484
{'charpoly_factorization': [[[51662736, 41923584, 6667448, -2332984, -650895, 35894, 18587, -20, -223, -2, 1], 1]], 'hecke_orbit_code': 157625986991529727, 'p': 29}
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id: 4612485
{'charpoly_factorization': [[[2101392, -4432704, 1578008, 455272, -199399, -17542, 8491, 304, -153, -2, 1], 1]], 'hecke_orbit_code': 157625986991529727, 'p': 31}
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id: 4612486
{'charpoly_factorization': [[[-2689252, 420696, 2035008, -293360, -318321, 18226, 13767, -388, -211, 2, 1], 1]], 'hecke_orbit_code': 157625986991529727, 'p': 37}
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id: 4612487
{'charpoly_factorization': [[[-222192, 903936, -875096, 248472, 45049, -32578, 2485, 920, -125, -6, 1], 1]], 'hecke_orbit_code': 157625986991529727, 'p': 41}
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id: 4612488
{'charpoly_factorization': [[[916336, 4653088, 5180736, -653712, -1621172, -462536, -40808, 2236, 660, 44, 1], 1]], 'hecke_orbit_code': 157625986991529727, 'p': 43}
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id: 4612489
{'charpoly_factorization': [[[5703552, 8666112, 3918880, 16352, -358002, -38428, 11898, 1156, -186, -8, 1], 1]], 'hecke_orbit_code': 157625986991529727, 'p': 47}
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id: 4612490
{'charpoly_factorization': [[[-13895568, 10173696, 13416200, -131656, -1136377, 14754, 28871, -356, -289, 2, 1], 1]], 'hecke_orbit_code': 157625986991529727, 'p': 53}
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id: 4612491
{'charpoly_factorization': [[[1336781376, 880345920, 11967872, -45772824, -2809959, 787806, 55251, -5572, -399, 14, 1], 1]], 'hecke_orbit_code': 157625986991529727, 'p': 59}
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id: 4612492
{'charpoly_factorization': [[[160982152, -56671072, -18560552, 8625808, 8842, -298264, 20148, 3172, -306, -8, 1], 1]], 'hecke_orbit_code': 157625986991529727, 'p': 61}
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id: 4612493
{'charpoly_factorization': [[[3231868, 5786296, 1596152, -1001504, -329753, 54162, 17311, -916, -283, 2, 1], 1]], 'hecke_orbit_code': 157625986991529727, 'p': 67}
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id: 4612494
{'charpoly_factorization': [[[-19584, -44160, 42736, 67288, -33151, -16470, 5817, 1076, -189, -6, 1], 1]], 'hecke_orbit_code': 157625986991529727, 'p': 71}
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id: 4612495
{'charpoly_factorization': [[[19459584, 3239424, -4306304, -1020576, 253278, 87688, 8, -1928, -114, 12, 1], 1]], 'hecke_orbit_code': 157625986991529727, 'p': 73}
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id: 4612496
{'charpoly_factorization': [[[47492992, 391025408, 86621888, -17203584, -4360608, 205632, 69268, -736, -444, 0, 1], 1]], 'hecke_orbit_code': 157625986991529727, 'p': 79}
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id: 4612497
{'charpoly_factorization': [[[-875635776, -91683456, 198286928, -23043488, -6015681, 1372190, -41595, -12016, 1417, -62, 1], 1]], 'hecke_orbit_code': 157625986991529727, 'p': 83}
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id: 4612498
{'charpoly_factorization': [[[-30218112, -20061696, 8712832, 5377088, -450040, -413616, -21012, 7576, 1106, 56, 1], 1]], 'hecke_orbit_code': 157625986991529727, 'p': 89}
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id: 4612499
{'charpoly_factorization': [[[7857136, 274798784, 99879312, -26817136, -17739972, -3194160, -229084, 140, 1004, 56, 1], 1]], 'hecke_orbit_code': 157625986991529727, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 36, 'label': '7935.2.a.bj', 'level': 7935, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 69809101
{'hecke_orbit_code': 157625986991529727, 'n': 1, 'trace_an': 10}
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id: 69809102
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