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mf_newforms • Show schema
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{'Nk2': 2700, 'analytic_conductor': 5.389902136436426, 'analytic_rank': 1, 'analytic_rank_proved': True, 'char_conductor': 27, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 9, 'char_parity': 1, 'char_values': [675, 9, [326, 352], [7, 9]], 'cm_discs': [], 'conrey_index': 76, 'dim': 6, 'field_disc': -19683, 'field_disc_factorization': [[-1, 1], [3, 9]], 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 18, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [9, 27, 36, 30, 18, 6, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 755947799203, 'hecke_ring_generator_nbound': 4, '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, 27, 5, 1, 9, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': 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mf_hecke_cc • Show schema
Hide schema
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'hecke_orbit': 1, 'hecke_orbit_code': 755947799203, 'label': '675.2.l.a.76.1', 'level': 675, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2700, 'analytic_conductor': 5.389902136436426, 'char_conductor': 27, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 9, 'char_parity': 1, 'char_values': [675, 9, [326, 352], [7, 9]], 'conrey_index': 76, 'cusp_dim': 504, 'dim': 324, 'eis_dim': 72, 'eis_new_dim': 36, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 755947799203, 'hecke_orbit_dims': [6, 6, 12, 30, 42, 66, 66, 96], 'label': '675.2.l', 'level': 675, 'level_is_powerful': True, '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], 'level_radical': 15, 'mf_dim': 576, 'mf_new_dim': 360, 'num_forms': 8, 'prim_orbit_index': 5, 'relative_dim': 54, 'sturm_bound': 180, 'trace_bound': 2, 'trace_display': [6, 6, 0, 6], 'traces': [324, 6, 6, 6, 0, -24, 6, 12, 0, 0, -21, 24, 6, 15, 0, -24, 15, -21, 3, 0, 12, 15, -24, 12, 0, 18, -21, 12, -30, 0, -27, -72, 6, 33, 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-156, 228, 0, 117, -348, -288, -372, 0, 42, 3, 126, 273, 0, -888, 258, 540, -315, 0, 300, 411, -273, -57, 0, -150, -24, 423, -168, 0, 285, 69, 294, -342, 0, 870, -96, -126, -150, 0, 288, -66, 123, -417, 0, -189, -78, 519, -342, 0, 564, -390, -408, -276, 0, 234, -363, 375, -102, 0, 858, -117, 90, -873, 0, 576, -402, -471, -21, 0, 423, -369, 144, -132, 0, 582, -228, -201, 48, 0, 564, -78, -168, 201, 0, 138, -174, -525, -261, 0, 180, -132, -288, 744, 0, -393, 6, -63, -348, 0, 108, -285, -372, -756, 0, 402, -372, -744, 243, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 9044469
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 76, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947799203, 'source_is_minimal': True, 'source_label': '675.2.l.a.76.1', 'source_level': 675, 'target_conrey_index': 76, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947799203, 'target_is_minimal': True, 'target_label': '675.2.l.a.76.1', 'target_level': 675, 'twist_class_label': '675.2.l.a.76.1', 'twist_class_level': 675, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 9044470
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 76, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947799203, 'source_is_minimal': True, 'source_label': '675.2.l.a.76.1', 'source_level': 675, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1374423089827, 'target_is_minimal': False, 'target_label': '675.2.u.a.49.1', 'target_level': 675, 'twist_class_label': '675.2.l.a.76.1', 'twist_class_level': 675, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 9044471
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 76, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947799203, 'source_is_minimal': True, 'source_label': '675.2.l.a.76.1', 'source_level': 675, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1374423089827, 'target_is_minimal': False, 'target_label': '675.2.u.a.49.2', 'target_level': 675, 'twist_class_label': '675.2.l.a.76.1', 'twist_class_level': 675, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 9044472
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 76, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947799203, 'source_is_minimal': True, 'source_label': '675.2.l.a.76.1', 'source_level': 675, 'target_conrey_index': 76, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504355575169699, 'target_is_minimal': True, 'target_label': '675.2.l.b.76.1', 'target_level': 675, 'twist_class_label': '675.2.l.a.76.1', 'twist_class_level': 675, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 9044473
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 76, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947799203, 'source_is_minimal': True, 'source_label': '675.2.l.a.76.1', 'source_level': 675, 'target_conrey_index': 151, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947799203, 'target_is_minimal': True, 'target_label': '675.2.l.a.151.1', 'target_level': 675, 'twist_class_label': '675.2.l.a.76.1', 'twist_class_level': 675, 'twisting_char_label': '27.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 9044474
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': -1, 'source_conrey_index': 76, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947799203, 'source_is_minimal': True, 'source_label': '675.2.l.a.76.1', 'source_level': 675, 'target_conrey_index': 124, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1374423089827, 'target_is_minimal': False, 'target_label': '675.2.u.a.124.1', 'target_level': 675, 'twist_class_label': '675.2.l.a.76.1', 'twist_class_level': 675, 'twisting_char_label': '135.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 9044475
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': -1, 'source_conrey_index': 76, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947799203, 'source_is_minimal': True, 'source_label': '675.2.l.a.76.1', 'source_level': 675, 'target_conrey_index': 124, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1374423089827, 'target_is_minimal': False, 'target_label': '675.2.u.a.124.2', 'target_level': 675, 'twist_class_label': '675.2.l.a.76.1', 'twist_class_level': 675, 'twisting_char_label': '135.97', 'twisting_conrey_index': 97, 'weight': 2}
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id: 9044476
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 76, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947799203, 'source_is_minimal': True, 'source_label': '675.2.l.a.76.1', 'source_level': 675, 'target_conrey_index': 151, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504355575169699, 'target_is_minimal': True, 'target_label': '675.2.l.b.151.1', 'target_level': 675, 'twist_class_label': '675.2.l.a.76.1', 'twist_class_level': 675, 'twisting_char_label': '135.124', 'twisting_conrey_index': 124, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1194375
{'charpoly_factorization': [[[9, 27, 36, 30, 18, 6, 1], 1]], 'hecke_orbit_code': 755947799203, 'p': 2}
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id: 1194376
{'charpoly_factorization': [[[27, 0, 0, 9, 0, 0, 1], 1]], 'hecke_orbit_code': 755947799203, 'p': 3}
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id: 1194377
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 755947799203, 'p': 5}
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id: 1194378
{'charpoly_factorization': [[[64, 192, 192, 64, 24, 6, 1], 1]], 'hecke_orbit_code': 755947799203, 'p': 7}
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id: 1194379
{'charpoly_factorization': [[[729, 729, 972, 513, 135, 18, 1], 1]], 'hecke_orbit_code': 755947799203, 'p': 11}
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id: 1194380
{'charpoly_factorization': [[[361, -171, 180, -35, -9, 0, 1], 1]], 'hecke_orbit_code': 755947799203, 'p': 13}
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id: 1194381
{'charpoly_factorization': [[[9, 27, 63, 48, 27, 6, 1], 1]], 'hecke_orbit_code': 755947799203, 'p': 17}
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id: 1194382
{'charpoly_factorization': [[[64, 288, 1200, 416, 108, 12, 1], 1]], 'hecke_orbit_code': 755947799203, 'p': 19}
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id: 1194383
{'charpoly_factorization': [[[23409, 19278, 6966, 1449, 198, 18, 1], 1]], 'hecke_orbit_code': 755947799203, 'p': 23}
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id: 1194384
{'charpoly_factorization': [[[47961, 21681, 5544, 1212, 207, 21, 1], 1]], 'hecke_orbit_code': 755947799203, 'p': 29}
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id: 1194385
{'charpoly_factorization': [[[289, -561, 237, 80, 24, 3, 1], 1]], 'hecke_orbit_code': 755947799203, 'p': 31}
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id: 1194386
{'charpoly_factorization': [[[7921, 2403, 1263, 16, 63, 6, 1], 1]], 'hecke_orbit_code': 755947799203, 'p': 37}
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id: 1194387
{'charpoly_factorization': [[[81, 891, 4212, 1143, 171, 18, 1], 1]], 'hecke_orbit_code': 755947799203, 'p': 41}
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id: 1194388
{'charpoly_factorization': [[[361, 627, 42, -260, 156, -6, 1], 1]], 'hecke_orbit_code': 755947799203, 'p': 43}
-
id: 1194389
{'charpoly_factorization': [[[12321, 2997, 522, -84, 0, -6, 1], 1]], 'hecke_orbit_code': 755947799203, 'p': 47}
-
id: 1194390
{'charpoly_factorization': [[[327, 171, 24, 1], 2]], 'hecke_orbit_code': 755947799203, 'p': 53}
-
id: 1194391
{'charpoly_factorization': [[[331776, -82944, 0, 576, 144, 0, 1], 1]], 'hecke_orbit_code': 755947799203, 'p': 59}
-
id: 1194392
{'charpoly_factorization': [[[1371241, -548028, 99612, -10675, 756, -36, 1], 1]], 'hecke_orbit_code': 755947799203, 'p': 61}
-
id: 1194393
{'charpoly_factorization': [[[16129, 20574, 9522, 1855, 234, 18, 1], 1]], 'hecke_orbit_code': 755947799203, 'p': 67}
-
id: 1194394
{'charpoly_factorization': [[[47961, -11826, 3573, -276, 63, -3, 1], 1]], 'hecke_orbit_code': 755947799203, 'p': 71}
-
id: 1194395
{'charpoly_factorization': [[[1, 3, 15, -20, 33, -6, 1], 1]], 'hecke_orbit_code': 755947799203, 'p': 73}
-
id: 1194396
{'charpoly_factorization': [[[273529, -76881, -924, 782, 204, 12, 1], 1]], 'hecke_orbit_code': 755947799203, 'p': 79}
-
id: 1194397
{'charpoly_factorization': [[[29241, -10773, 23166, -1368, -72, 18, 1], 1]], 'hecke_orbit_code': 755947799203, 'p': 83}
-
id: 1194398
{'charpoly_factorization': [[[2601, 3672, 5031, 318, 81, -3, 1], 1]], 'hecke_orbit_code': 755947799203, 'p': 89}
-
id: 1194399
{'charpoly_factorization': [[[237169, -10227, 3579, 424, -42, 3, 1], 1]], 'hecke_orbit_code': 755947799203, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 12, 'hecke_orbit': 1, 'label': '675.2.l.a', 'level': 675, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 10913208
{'hecke_orbit_code': 755947799203, 'n': 1, 'trace_an': 6}
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id: 10913209
{'hecke_orbit_code': 755947799203, 'n': 2, 'trace_an': -6}
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id: 10913210
{'hecke_orbit_code': 755947799203, 'n': 3, 'trace_an': 0}
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id: 10913211
{'hecke_orbit_code': 755947799203, 'n': 4, 'trace_an': 0}
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id: 10913212
{'hecke_orbit_code': 755947799203, 'n': 5, 'trace_an': 0}
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id: 10913213
{'hecke_orbit_code': 755947799203, 'n': 6, 'trace_an': 0}
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id: 10913214
{'hecke_orbit_code': 755947799203, 'n': 7, 'trace_an': -6}
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id: 10913215
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