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mf_newforms • Show schema
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{'Nk2': 2772, 'analytic_conductor': 5.53363286007473, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [693, 3, [155, 199, 442], [3, 1, 3]], 'cm_discs': [], 'conrey_index': 100, 'dim': 8, 'field_disc': 10423593216, 'field_disc_factorization': [[2, 8], [3, 4], [709, 2]], 'field_poly': [9, 12, 28, -4, 21, 0, 8, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [9, 12, 28, -4, 21, 0, 8, -2, 1]], [5, [144, -240, 352, -176, 108, -24, 20, -4, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029346808332981, '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, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 2772, 'analytic_conductor': 5.53363286007473, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [693, 3, [155, 199, 442], [3, 1, 3]], 'conrey_index': 100, 'cusp_dim': 176, 'dim': 68, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 549789369013, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 4, 6, 6, 8, 10, 12, 12], 'label': '693.2.i', 'level': 693, '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, 7, 11], 'level_radical': 231, 'mf_dim': 208, 'mf_new_dim': 68, 'num_forms': 12, 'prim_orbit_index': 3, 'relative_dim': 34, 'sturm_bound': 192, 'trace_bound': 5, 'trace_display': [0, 0, 4, 6], 'traces': [68, 0, 0, -36, 4, 0, 6, -12, 0, 6, 0, 0, 8, 4, 0, -36, -6, 0, -10, -8, 0, 0, 4, 0, -42, 14, 0, -64, 24, 0, 6, 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32, 112, 0, 232, 196, 0, -374, -132, 0, 28, 132, 0, 250, -494, 0, -690, -8, 0, -20, 78, 0, -1180], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46674631
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029346808332981, 'source_is_minimal': False, 'source_label': '693.2.i.i.100.1', 'source_level': 693, 'target_conrey_index': 100, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029346808332981, 'target_is_minimal': False, 'target_label': '693.2.i.i.100.1', 'target_level': 693, 'twist_class_label': '231.2.i.e.67.4', 'twist_class_level': 231, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46674632
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029346808332981, 'source_is_minimal': False, 'source_label': '693.2.i.i.100.1', 'source_level': 693, 'target_conrey_index': 100, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014948298850535, 'target_is_minimal': True, 'target_label': '231.2.i.e.100.4', 'target_level': 231, 'twist_class_label': '231.2.i.e.67.4', 'twist_class_level': 231, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46674633
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029346808332981, 'source_is_minimal': False, 'source_label': '693.2.i.i.100.1', 'source_level': 693, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 202661983265231603, 'target_is_minimal': False, 'target_label': '4851.2.a.bt.1.4', 'target_level': 4851, 'twist_class_label': '231.2.i.e.67.4', 'twist_class_level': 231, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46674634
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029346808332981, 'source_is_minimal': False, 'source_label': '693.2.i.i.100.1', 'source_level': 693, 'target_conrey_index': 298, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029346808332981, 'target_is_minimal': False, 'target_label': '693.2.i.i.298.1', 'target_level': 693, 'twist_class_label': '231.2.i.e.67.4', 'twist_class_level': 231, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46674635
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029346808332981, 'source_is_minimal': False, 'source_label': '693.2.i.i.100.1', 'source_level': 693, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 207165582892602099, 'target_is_minimal': False, 'target_label': '4851.2.a.bu.1.4', 'target_level': 4851, 'twist_class_label': '231.2.i.e.67.4', 'twist_class_level': 231, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46674636
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029346808332981, 'source_is_minimal': False, 'source_label': '693.2.i.i.100.1', 'source_level': 693, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 112589990717818449, 'target_is_minimal': False, 'target_label': '1617.2.a.z.1.1', 'target_level': 1617, 'twist_class_label': '231.2.i.e.67.4', 'twist_class_level': 231, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46674637
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029346808332981, 'source_is_minimal': False, 'source_label': '693.2.i.i.100.1', 'source_level': 693, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791463077457, 'target_is_minimal': False, 'target_label': '1617.2.a.x.1.1', 'target_level': 1617, 'twist_class_label': '231.2.i.e.67.4', 'twist_class_level': 231, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46674638
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029346808332981, 'source_is_minimal': False, 'source_label': '693.2.i.i.100.1', 'source_level': 693, 'target_conrey_index': 67, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014948298850535, 'target_is_minimal': True, 'target_label': '231.2.i.e.67.4', 'target_level': 231, 'twist_class_label': '231.2.i.e.67.4', 'twist_class_level': 231, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1214450
{'charpoly_factorization': [[[9, 12, 28, -4, 21, 0, 8, -2, 1], 1]], 'hecke_orbit_code': 36029346808332981, 'p': 2}
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id: 1214451
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 36029346808332981, 'p': 3}
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id: 1214452
{'charpoly_factorization': [[[144, -240, 352, -176, 108, -24, 20, -4, 1], 1]], 'hecke_orbit_code': 36029346808332981, 'p': 5}
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id: 1214453
{'charpoly_factorization': [[[2401, -686, 196, -70, -22, -10, 4, -2, 1], 1]], 'hecke_orbit_code': 36029346808332981, 'p': 7}
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id: 1214454
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 36029346808332981, 'p': 11}
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id: 1214455
{'charpoly_factorization': [[[-4, -16, -8, 2, 1], 2]], 'hecke_orbit_code': 36029346808332981, 'p': 13}
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id: 1214456
{'charpoly_factorization': [[[225, 1860, 15976, -4900, 1833, -168, 44, -2, 1], 1]], 'hecke_orbit_code': 36029346808332981, 'p': 17}
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id: 1214457
{'charpoly_factorization': [[[7921, -10858, 11324, -4880, 1689, -244, 40, 0, 1], 1]], 'hecke_orbit_code': 36029346808332981, 'p': 19}
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id: 1214458
{'charpoly_factorization': [[[216225, 35340, 25306, 528, 1603, 16, 58, -4, 1], 1]], 'hecke_orbit_code': 36029346808332981, 'p': 23}
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id: 1214459
{'charpoly_factorization': [[[3, -14, 12, 8, 1], 2]], 'hecke_orbit_code': 36029346808332981, 'p': 29}
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id: 1214460
{'charpoly_factorization': [[[1948816, -698000, 238832, -37504, 7460, -904, 152, -12, 1], 1]], 'hecke_orbit_code': 36029346808332981, 'p': 31}
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id: 1214461
{'charpoly_factorization': [[[1, 0, 10, 8, 99, 40, 26, -4, 1], 1]], 'hecke_orbit_code': 36029346808332981, 'p': 37}
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id: 1214462
{'charpoly_factorization': [[[60, 64, -44, 2, 1], 2]], 'hecke_orbit_code': 36029346808332981, 'p': 41}
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id: 1214463
{'charpoly_factorization': [[[-1385, 308, 60, -18, 1], 2]], 'hecke_orbit_code': 36029346808332981, 'p': 43}
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id: 1214464
{'charpoly_factorization': [[[81, -360, 1258, -1304, 955, -376, 106, -12, 1], 1]], 'hecke_orbit_code': 36029346808332981, 'p': 47}
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id: 1214465
{'charpoly_factorization': [[[39087504, -6026928, 1704544, -30512, 20692, 440, 268, 12, 1], 1]], 'hecke_orbit_code': 36029346808332981, 'p': 53}
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id: 1214466
{'charpoly_factorization': [[[62001, 52788, 49426, 2160, 2619, -208, 162, -12, 1], 1]], 'hecke_orbit_code': 36029346808332981, 'p': 59}
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id: 1214467
{'charpoly_factorization': [[[400, -640, 1504, 688, 620, 16, 28, 2, 1], 1]], 'hecke_orbit_code': 36029346808332981, 'p': 61}
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id: 1214468
{'charpoly_factorization': [[[2131600, 192720, 297744, 56416, 42020, 5640, 592, 28, 1], 1]], 'hecke_orbit_code': 36029346808332981, 'p': 67}
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id: 1214469
{'charpoly_factorization': [[[-699, -296, 2, 12, 1], 2]], 'hecke_orbit_code': 36029346808332981, 'p': 71}
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id: 1214470
{'charpoly_factorization': [[[294328336, -12215072, 5173376, -12208, 61100, -208, 308, 6, 1], 1]], 'hecke_orbit_code': 36029346808332981, 'p': 73}
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id: 1214471
{'charpoly_factorization': [[[150544, 167616, 244048, -65488, 20652, -1160, 152, 2, 1], 1]], 'hecke_orbit_code': 36029346808332981, 'p': 79}
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id: 1214472
{'charpoly_factorization': [[[2592, 944, -96, -12, 1], 2]], 'hecke_orbit_code': 36029346808332981, 'p': 83}
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id: 1214473
{'charpoly_factorization': [[[145154304, 14650368, 4273792, -89344, 51504, -576, 296, -8, 1], 1]], 'hecke_orbit_code': 36029346808332981, 'p': 89}
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id: 1214474
{'charpoly_factorization': [[[8501, 4280, 682, 44, 1], 2]], 'hecke_orbit_code': 36029346808332981, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 9, 'label': '693.2.i.i', 'level': 693, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 52147195
{'hecke_orbit_code': 36029346808332981, 'n': 1, 'trace_an': 8}
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id: 52147196
{'hecke_orbit_code': 36029346808332981, 'n': 2, 'trace_an': 2}
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id: 52147197
{'hecke_orbit_code': 36029346808332981, 'n': 3, 'trace_an': 0}
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id: 52147198
{'hecke_orbit_code': 36029346808332981, 'n': 4, 'trace_an': -4}
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id: 52147199
{'hecke_orbit_code': 36029346808332981, 'n': 5, 'trace_an': 4}
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id: 52147200
{'hecke_orbit_code': 36029346808332981, 'n': 6, 'trace_an': 0}
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id: 52147201
{'hecke_orbit_code': 36029346808332981, 'n': 7, 'trace_an': 2}
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id: 52147202
{'hecke_orbit_code': 36029346808332981, 'n': 8, 'trace_an': -24}
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id: 52147203
{'hecke_orbit_code': 36029346808332981, 'n': 9, 'trace_an': 0}
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