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{'Nk2': 27900, 'analytic_conductor': 55.69565540984307, 'analytic_rank': 0, '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': 6, 'field_disc': 361944768, 'field_disc_factorization': [[2, 6], [3, 1], [1373, 2]], 'field_poly': [-27, 0, 40, 0, -12, 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, [-27, 0, 40, 0, -12, 0, 1]], [7, [-32, -9, 4, 1]], [11, [-768, 0, 1168, 0, -68, 0, 1]], [13, [40, -32, 0, 1]], [17, [-3072, 0, 1216, 0, -76, 0, 1]], [29, [-1728, 0, 640, 0, -48, 0, 1]]], 'hecke_orbit': 54, 'hecke_orbit_code': 238690780284197695, 'hecke_ring_generator_nbound': 11, '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': True, '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.cb', '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': '279.2.a.d', 'nf_label': '6.6.361944768.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(2+\\beta _{3})q^{4}+(-1-\\beta _{5})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': 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mf_hecke_cc • Show schema
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'embedding_root_real': 0.9484555942107257, 'hecke_orbit': 54, 'hecke_orbit_code': 238690780284197695, 'label': '6975.2.a.cb.1.4', '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: 49063900
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 238690780284197695, 'source_is_minimal': False, 'source_label': '6975.2.a.cb.1.4', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 238690780284197695, 'target_is_minimal': False, 'target_label': '6975.2.a.cb.1.4', 'target_level': 6975, 'twist_class_label': '279.2.a.d.1.3', 'twist_class_level': 279, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49063901
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 238690780284197695, 'source_is_minimal': False, 'source_label': '6975.2.a.cb.1.4', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 238690780284197695, 'target_is_minimal': False, 'target_label': '6975.2.a.cb.1.3', 'target_level': 6975, 'twist_class_label': '279.2.a.d.1.3', 'twist_class_level': 279, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49063902
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 238690780284197695, 'source_is_minimal': False, 'source_label': '6975.2.a.cb.1.4', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13510798915666199, 'target_is_minimal': True, 'target_label': '279.2.a.d.1.3', 'target_level': 279, 'twist_class_label': '279.2.a.d.1.3', 'twist_class_level': 279, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49063903
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 238690780284197695, 'source_is_minimal': False, 'source_label': '6975.2.a.cb.1.4', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13510798915666199, 'target_is_minimal': True, 'target_label': '279.2.a.d.1.4', 'target_level': 279, 'twist_class_label': '279.2.a.d.1.3', 'twist_class_level': 279, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 49063904
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 238690780284197695, 'source_is_minimal': False, 'source_label': '6975.2.a.cb.1.4', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 202661983265231216, 'target_is_minimal': False, 'target_label': '4464.2.a.bt.1.3', 'target_level': 4464, 'twist_class_label': '279.2.a.d.1.3', 'twist_class_level': 279, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 49063905
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 238690780284197695, 'source_is_minimal': False, 'source_label': '6975.2.a.cb.1.4', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 202661983265231216, 'target_is_minimal': False, 'target_label': '4464.2.a.bt.1.4', 'target_level': 4464, 'twist_class_label': '279.2.a.d.1.3', 'twist_class_level': 279, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 49063906
{'conductor': 155, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 238690780284197695, 'source_is_minimal': False, 'source_label': '6975.2.a.cb.1.4', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 121597189972566473, 'target_is_minimal': False, 'target_label': '8649.2.a.bb.1.3', 'target_level': 8649, 'twist_class_label': '279.2.a.d.1.3', 'twist_class_level': 279, 'twisting_char_label': '155.154', 'twisting_conrey_index': 154, 'weight': 2}
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id: 49063907
{'conductor': 465, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 238690780284197695, 'source_is_minimal': False, 'source_label': '6975.2.a.cb.1.4', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 121597189972566473, 'target_is_minimal': False, 'target_label': '8649.2.a.bb.1.4', 'target_level': 8649, 'twist_class_label': '279.2.a.d.1.3', 'twist_class_level': 279, 'twisting_char_label': '465.464', 'twisting_conrey_index': 464, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4342775
{'charpoly_factorization': [[[-27, 0, 40, 0, -12, 0, 1], 1]], 'hecke_orbit_code': 238690780284197695, 'p': 2}
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id: 4342776
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 238690780284197695, 'p': 3}
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id: 4342777
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 238690780284197695, 'p': 5}
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id: 4342778
{'charpoly_factorization': [[[-32, -9, 4, 1], 2]], 'hecke_orbit_code': 238690780284197695, 'p': 7}
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id: 4342779
{'charpoly_factorization': [[[-768, 0, 1168, 0, -68, 0, 1], 1]], 'hecke_orbit_code': 238690780284197695, 'p': 11}
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id: 4342780
{'charpoly_factorization': [[[40, -32, 0, 1], 2]], 'hecke_orbit_code': 238690780284197695, 'p': 13}
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id: 4342781
{'charpoly_factorization': [[[-3072, 0, 1216, 0, -76, 0, 1], 1]], 'hecke_orbit_code': 238690780284197695, 'p': 17}
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id: 4342782
{'charpoly_factorization': [[[4, 7, -8, 1], 2]], 'hecke_orbit_code': 238690780284197695, 'p': 19}
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id: 4342783
{'charpoly_factorization': [[[-6912, 0, 3472, 0, -116, 0, 1], 1]], 'hecke_orbit_code': 238690780284197695, 'p': 23}
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id: 4342784
{'charpoly_factorization': [[[-1728, 0, 640, 0, -48, 0, 1], 1]], 'hecke_orbit_code': 238690780284197695, 'p': 29}
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id: 4342785
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 238690780284197695, 'p': 31}
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id: 4342786
{'charpoly_factorization': [[[-424, -88, 4, 1], 2]], 'hecke_orbit_code': 238690780284197695, 'p': 37}
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id: 4342787
{'charpoly_factorization': [[[-192, 0, 181, 0, -26, 0, 1], 1]], 'hecke_orbit_code': 238690780284197695, 'p': 41}
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id: 4342788
{'charpoly_factorization': [[[16, -20, -6, 1], 2]], 'hecke_orbit_code': 238690780284197695, 'p': 43}
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id: 4342789
{'charpoly_factorization': [[[-15552, 0, 3760, 0, -132, 0, 1], 1]], 'hecke_orbit_code': 238690780284197695, 'p': 47}
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id: 4342790
{'charpoly_factorization': [[[-3072, 0, 1216, 0, -76, 0, 1], 1]], 'hecke_orbit_code': 238690780284197695, 'p': 53}
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id: 4342791
{'charpoly_factorization': [[[-12, 0, 61, 0, -70, 0, 1], 1]], 'hecke_orbit_code': 238690780284197695, 'p': 59}
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id: 4342792
{'charpoly_factorization': [[[160, -56, -2, 1], 2]], 'hecke_orbit_code': 238690780284197695, 'p': 61}
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id: 4342793
{'charpoly_factorization': [[[-4, 1], 6]], 'hecke_orbit_code': 238690780284197695, 'p': 67}
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id: 4342794
{'charpoly_factorization': [[[-2028, 0, 853, 0, -78, 0, 1], 1]], 'hecke_orbit_code': 238690780284197695, 'p': 71}
-
id: 4342795
{'charpoly_factorization': [[[-200, 0, 16, 1], 2]], 'hecke_orbit_code': 238690780284197695, 'p': 73}
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id: 4342796
{'charpoly_factorization': [[[832, -172, -4, 1], 2]], 'hecke_orbit_code': 238690780284197695, 'p': 79}
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id: 4342797
{'charpoly_factorization': [[[-768, 0, 976, 0, -280, 0, 1], 1]], 'hecke_orbit_code': 238690780284197695, 'p': 83}
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id: 4342798
{'charpoly_factorization': [[[-2365632, 0, 62128, 0, -452, 0, 1], 1]], 'hecke_orbit_code': 238690780284197695, 'p': 89}
-
id: 4342799
{'charpoly_factorization': [[[-1142, -107, 12, 1], 2]], 'hecke_orbit_code': 238690780284197695, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 54, 'label': '6975.2.a.cb', 'level': 6975, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71785639
{'hecke_orbit_code': 238690780284197695, 'n': 1, 'trace_an': 6}
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id: 71785640
{'hecke_orbit_code': 238690780284197695, 'n': 2, 'trace_an': 0}
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