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mf_newforms • Show schema
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{'Nk2': 7600, 'analytic_conductor': 15.171576384043274, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 95, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 6, 'char_parity': 1, 'char_values': [1900, 6, [951, 77, 401], [6, 3, 4]], 'cm_discs': [], 'conrey_index': 49, 'conrey_indexes': [49, 349], 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [16, 0, -4, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504836611508076, 'hecke_ring_generator_nbound': 9, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 95, 9, 1, 6, 0], [1, 1, 19, 3, 1, 3, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 7600, 'analytic_conductor': 15.171576384043274, 'char_conductor': 95, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 6, 'char_parity': 1, 'char_values': [1900, 6, [951, 77, 401], [6, 3, 4]], 'conrey_index': 49, 'cusp_dim': 564, 'dim': 60, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 1236984137580, 'hecke_orbit_dims': [4, 4, 12, 16, 24], 'label': '1900.2.s', 'level': 1900, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 19], 'level_radical': 190, 'mf_dim': 636, 'mf_new_dim': 60, 'num_forms': 5, 'prim_orbit_index': 9, 'relative_dim': 30, 'sturm_bound': 600, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [60, 0, 0, 0, 0, 0, 0, 0, 30, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 16, 0, 4, 0, 0, 0, 0, 0, 0, 0, -20, 0, -36, 0, 0, 0, 0, 0, 0, 0, -52, 0, -4, 0, 0, 0, 0, 0, 0, 0, -30, 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mf_twists_cc • Show schema
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id: 37543290
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504836611508076, 'source_is_minimal': False, 'source_label': '1900.2.s.b.49.2', 'source_level': 1900, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504836611508076, 'target_is_minimal': False, 'target_label': '1900.2.s.b.49.2', 'target_level': 1900, 'twist_class_label': '380.2.i.a.121.1', 'twist_class_level': 380, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 37543291
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504836611508076, 'source_is_minimal': False, 'source_label': '1900.2.s.b.49.2', 'source_level': 1900, 'target_conrey_index': 201, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416740716, 'target_is_minimal': False, 'target_label': '1900.2.i.b.201.1', 'target_level': 1900, 'twist_class_label': '380.2.i.a.121.1', 'twist_class_level': 380, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 37543292
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504836611508076, 'source_is_minimal': False, 'source_label': '1900.2.s.b.49.2', 'source_level': 1900, 'target_conrey_index': 201, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368700, 'target_is_minimal': True, 'target_label': '380.2.i.a.201.1', 'target_level': 380, 'twist_class_label': '380.2.i.a.121.1', 'twist_class_level': 380, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 37543293
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504836611508076, 'source_is_minimal': False, 'source_label': '1900.2.s.b.49.2', 'source_level': 1900, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504836611508076, 'target_is_minimal': False, 'target_label': '1900.2.s.b.49.1', 'target_level': 1900, 'twist_class_label': '380.2.i.a.121.1', 'twist_class_level': 380, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 37543294
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504836611508076, 'source_is_minimal': False, 'source_label': '1900.2.s.b.49.2', 'source_level': 1900, 'target_conrey_index': 3241, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504905330986332, 'target_is_minimal': False, 'target_label': '3420.2.t.b.3241.1', 'target_level': 3420, 'twist_class_label': '380.2.i.a.121.1', 'twist_class_level': 380, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 37543295
{'conductor': 19, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504836611508076, 'source_is_minimal': False, 'source_label': '1900.2.s.b.49.2', 'source_level': 1900, 'target_conrey_index': 349, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504836611508076, 'target_is_minimal': False, 'target_label': '1900.2.s.b.349.1', 'target_level': 1900, 'twist_class_label': '380.2.i.a.121.1', 'twist_class_level': 380, 'twisting_char_label': '19.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 37543296
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504836611508076, 'source_is_minimal': False, 'source_label': '1900.2.s.b.49.2', 'source_level': 1900, 'target_conrey_index': 961, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022697309406704, 'target_is_minimal': False, 'target_label': '1520.2.q.g.961.1', 'target_level': 1520, 'twist_class_label': '380.2.i.a.121.1', 'twist_class_level': 380, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 37543297
{'conductor': 95, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504836611508076, 'source_is_minimal': False, 'source_label': '1900.2.s.b.49.2', 'source_level': 1900, 'target_conrey_index': 501, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416740716, 'target_is_minimal': False, 'target_label': '1900.2.i.b.501.1', 'target_level': 1900, 'twist_class_label': '380.2.i.a.121.1', 'twist_class_level': 380, 'twisting_char_label': '95.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 37543298
{'conductor': 95, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504836611508076, 'source_is_minimal': False, 'source_label': '1900.2.s.b.49.2', 'source_level': 1900, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33561652, 'target_is_minimal': False, 'target_label': '7220.2.a.a.1.1', 'target_level': 7220, 'twist_class_label': '380.2.i.a.121.1', 'twist_class_level': 380, 'twisting_char_label': '95.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 37543299
{'conductor': 95, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504836611508076, 'source_is_minimal': False, 'source_label': '1900.2.s.b.49.2', 'source_level': 1900, 'target_conrey_index': 349, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504836611508076, 'target_is_minimal': False, 'target_label': '1900.2.s.b.349.2', 'target_level': 1900, 'twist_class_label': '380.2.i.a.121.1', 'twist_class_level': 380, 'twisting_char_label': '95.64', 'twisting_conrey_index': 64, 'weight': 2}
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id: 37543300
{'conductor': 95, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504836611508076, 'source_is_minimal': False, 'source_label': '1900.2.s.b.49.2', 'source_level': 1900, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543043636, 'target_is_minimal': False, 'target_label': '7220.2.a.e.1.1', 'target_level': 7220, 'twist_class_label': '380.2.i.a.121.1', 'twist_class_level': 380, 'twisting_char_label': '95.68', 'twisting_conrey_index': 68, 'weight': 2}
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id: 37543301
{'conductor': 95, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504836611508076, 'source_is_minimal': False, 'source_label': '1900.2.s.b.49.2', 'source_level': 1900, 'target_conrey_index': 121, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368700, 'target_is_minimal': True, 'target_label': '380.2.i.a.121.1', 'target_level': 380, 'twist_class_label': '380.2.i.a.121.1', 'twist_class_level': 380, 'twisting_char_label': '95.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 37543302
{'conductor': 285, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504836611508076, 'source_is_minimal': False, 'source_label': '1900.2.s.b.49.2', 'source_level': 1900, 'target_conrey_index': 1261, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504905330986332, 'target_is_minimal': False, 'target_label': '3420.2.t.b.1261.1', 'target_level': 3420, 'twist_class_label': '380.2.i.a.121.1', 'twist_class_level': 380, 'twisting_char_label': '285.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 37543303
{'conductor': 380, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504836611508076, 'source_is_minimal': False, 'source_label': '1900.2.s.b.49.2', 'source_level': 1900, 'target_conrey_index': 881, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022697309406704, 'target_is_minimal': False, 'target_label': '1520.2.q.g.881.1', 'target_level': 1520, 'twist_class_label': '380.2.i.a.121.1', 'twist_class_level': 380, 'twisting_char_label': '380.83', 'twisting_conrey_index': 83, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2287500
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504836611508076, 'p': 2}
-
id: 2287501
{'charpoly_factorization': [[[16, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 4504836611508076, 'p': 3}
-
id: 2287502
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504836611508076, 'p': 5}
-
id: 2287503
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 4504836611508076, 'p': 7}
-
id: 2287504
{'charpoly_factorization': [[[3, 1], 4]], 'hecke_orbit_code': 4504836611508076, 'p': 11}
-
id: 2287505
{'charpoly_factorization': [[[1296, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 4504836611508076, 'p': 13}
-
id: 2287506
{'charpoly_factorization': [[[16, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 4504836611508076, 'p': 17}
-
id: 2287507
{'charpoly_factorization': [[[19, 7, 1], 2]], 'hecke_orbit_code': 4504836611508076, 'p': 19}
-
id: 2287508
{'charpoly_factorization': [[[256, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 4504836611508076, 'p': 23}
-
id: 2287509
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 4504836611508076, 'p': 29}
-
id: 2287510
{'charpoly_factorization': [[[5, 1], 4]], 'hecke_orbit_code': 4504836611508076, 'p': 31}
-
id: 2287511
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 4504836611508076, 'p': 37}
-
id: 2287512
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 4504836611508076, 'p': 41}
-
id: 2287513
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504836611508076, 'p': 43}
-
id: 2287514
{'charpoly_factorization': [[[1296, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 4504836611508076, 'p': 47}
-
id: 2287515
{'charpoly_factorization': [[[1296, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 4504836611508076, 'p': 53}
-
id: 2287516
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 4504836611508076, 'p': 59}
-
id: 2287517
{'charpoly_factorization': [[[49, -7, 1], 2]], 'hecke_orbit_code': 4504836611508076, 'p': 61}
-
id: 2287518
{'charpoly_factorization': [[[38416, 0, -196, 0, 1], 1]], 'hecke_orbit_code': 4504836611508076, 'p': 67}
-
id: 2287519
{'charpoly_factorization': [[[225, 15, 1], 2]], 'hecke_orbit_code': 4504836611508076, 'p': 71}
-
id: 2287520
{'charpoly_factorization': [[[20736, 0, -144, 0, 1], 1]], 'hecke_orbit_code': 4504836611508076, 'p': 73}
-
id: 2287521
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 4504836611508076, 'p': 79}
-
id: 2287522
{'charpoly_factorization': [[[256, 0, 1], 2]], 'hecke_orbit_code': 4504836611508076, 'p': 83}
-
id: 2287523
{'charpoly_factorization': [[[289, -17, 1], 2]], 'hecke_orbit_code': 4504836611508076, 'p': 89}
-
id: 2287524
{'charpoly_factorization': [[[20736, 0, -144, 0, 1], 1]], 'hecke_orbit_code': 4504836611508076, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 19, 'hecke_orbit': 2, 'label': '1900.2.s.b', 'level': 1900, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 95478000
{'hecke_orbit_code': 4504836611508076, 'n': 1, 'trace_an': 4}
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id: 95478001
{'hecke_orbit_code': 4504836611508076, 'n': 2, 'trace_an': 0}
-
id: 95478002
{'hecke_orbit_code': 4504836611508076, 'n': 3, 'trace_an': 0}
-
id: 95478003
{'hecke_orbit_code': 4504836611508076, 'n': 4, 'trace_an': 0}
-
id: 95478004
{'hecke_orbit_code': 4504836611508076, 'n': 5, 'trace_an': 0}
-
id: 95478005
{'hecke_orbit_code': 4504836611508076, 'n': 6, 'trace_an': 0}
-
id: 95478006
{'hecke_orbit_code': 4504836611508076, 'n': 7, 'trace_an': 0}
-
id: 95478007
{'hecke_orbit_code': 4504836611508076, 'n': 8, 'trace_an': 0}
-
id: 95478008
{'hecke_orbit_code': 4504836611508076, 'n': 9, 'trace_an': 2}
-
id: 95478009
{'hecke_orbit_code': 4504836611508076, 'n': 10, 'trace_an': 0}
-
id: 95478010
{'hecke_orbit_code': 4504836611508076, 'n': 11, 'trace_an': -12}
-
id: 95478011
{'hecke_orbit_code': 4504836611508076, 'n': 12, 'trace_an': 0}
-
id: 95478012
{'hecke_orbit_code': 4504836611508076, 'n': 13, 'trace_an': 0}
-
id: 95478013
{'hecke_orbit_code': 4504836611508076, 'n': 14, 'trace_an': 0}
-
id: 95478014
{'hecke_orbit_code': 4504836611508076, 'n': 15, 'trace_an': 0}
-
id: 95478015
{'hecke_orbit_code': 4504836611508076, 'n': 16, 'trace_an': 0}
-
id: 95478016
{'hecke_orbit_code': 4504836611508076, 'n': 17, 'trace_an': 0}
-
id: 95478017
{'hecke_orbit_code': 4504836611508076, 'n': 18, 'trace_an': 0}
-
id: 95478018
{'hecke_orbit_code': 4504836611508076, 'n': 19, 'trace_an': -14}
-
id: 95478019
{'hecke_orbit_code': 4504836611508076, 'n': 20, 'trace_an': 0}
-
id: 95478020
{'hecke_orbit_code': 4504836611508076, 'n': 21, 'trace_an': 16}
-
id: 95478021
{'hecke_orbit_code': 4504836611508076, 'n': 22, 'trace_an': 0}
-
id: 95478022
{'hecke_orbit_code': 4504836611508076, 'n': 23, 'trace_an': 0}
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id: 95478023
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