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mf_newforms • Show schema
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{'Nk2': 5800, 'analytic_conductor': 11.578308293085655, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1450, 2, [1277, 901], [1, 2]], 'cm_discs': [], 'conrey_index': 349, 'conrey_indexes': [349], 'dim': 6, 'field_disc': -399424, 'field_disc_factorization': [[-1, 1], [2, 6], [79, 2]], 'field_poly': [8, -8, 6, -6, 3, -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': [[3, [4, 0, 20, 0, 9, 0, 1]], [7, [1024, 0, 324, 0, 32, 0, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45036065026737578, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 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mf_hecke_nf • Show schema
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'field_poly': [8, -8, 6, -6, 3, -2, 1], 'hecke_orbit_code': 45036065026737578, 'hecke_ring_character_values': [[1277, [-1, 0, 0, 0, 0, 0]], [901, [1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 2, 4, 4, 4, 4], 'hecke_ring_inverse_denominators': [1, 2, 2, 2, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [1, 0, 0, 1, 1, 0], [0, 1, 1, 2, 0, 1], [3, 2, -2, 1, -1, 0], [4, -1, -5, 2, 0, -1], [5, -2, 2, 3, 1, 4]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [-2, 2, -1, 2, -1, 0], [8, -2, 4, -3, 0, -1], [4, -2, 6, -3, 2, -1], [-8, 10, -6, 3, -2, 1], [-12, 2, -6, 5, -2, 3]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '1450.2.b.k', 'level': 1450, 'maxp': 1999, 'weight': 2}
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{'Nk2': 5800, 'analytic_conductor': 11.578308293085655, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1450, 2, [1277, 901], [1, 2]], 'conrey_index': 349, 'cusp_dim': 214, 'dim': 42, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 68753032618, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 4, 4, 6, 6, 6], 'label': '1450.2.b', 'level': 1450, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 29], 'level_radical': 290, 'mf_dim': 238, 'mf_new_dim': 42, 'num_forms': 12, 'prim_orbit_index': 2, 'relative_dim': 42, 'sturm_bound': 450, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [42, 0, 0, -42, 0, 0, 0, 0, -34, 0, -4, 0, 0, 0, 0, 42, 0, 0, 4, 0, -16, 0, 0, 0, 0, -4, 0, 0, 6, 0, -32, 0, 0, 0, 0, 34, 0, 0, 32, 0, 24, 0, 0, 4, 0, -16, 0, 0, -34, 0, 28, 0, 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0, 0, -160, 0, -324, 0, 0, -20, 0, 58, 0, 0, 664, 0, 168, 0, 0, -88, 0, -448, 0, 0, 176, 0, 336, 0, 0, 56, 0, -264, 0, 0, -40, 0, -744, 0, 0, -248, 0, 192, 0, 0, 252, 0, 700, 0, 0, 104, 0, 0, 0, 0, -120, 0, -152, 0, 0, 32, 0, 308, 0, 0, 216, 0, -280, 0, 0, -264, 0, -276, 0, 0, -136, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 737650
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1450.2.b.k', 'source_level': 1450, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 17, 'target_is_minimal': True, 'target_label': '1450.2.a.q', 'target_level': 1450, 'twist_class_label': '1450.2.a.q', 'twist_class_level': 1450, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 737651
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1450.2.b.k', 'source_level': 1450, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 19, 'target_is_minimal': True, 'target_label': '1450.2.a.s', 'target_level': 1450, 'twist_class_label': '1450.2.a.q', 'twist_class_level': 1450, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 737652
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1450.2.b.k', 'source_level': 1450, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1450.2.b.k', 'target_level': 1450, 'twist_class_label': '1450.2.a.q', 'twist_class_level': 1450, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 737653
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1450.2.b.k', 'source_level': 1450, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1450.2.b.k', 'target_level': 1450, 'twist_class_label': '1450.2.a.q', 'twist_class_level': 1450, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1959375
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 45036065026737578, 'p': 2}
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id: 1959376
{'charpoly_factorization': [[[4, 0, 20, 0, 9, 0, 1], 1]], 'hecke_orbit_code': 45036065026737578, 'p': 3}
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id: 1959377
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 45036065026737578, 'p': 5}
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id: 1959378
{'charpoly_factorization': [[[1024, 0, 324, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 45036065026737578, 'p': 7}
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id: 1959379
{'charpoly_factorization': [[[44, -8, -5, 1], 2]], 'hecke_orbit_code': 45036065026737578, 'p': 11}
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id: 1959380
{'charpoly_factorization': [[[64, 0, 68, 0, 16, 0, 1], 1]], 'hecke_orbit_code': 45036065026737578, 'p': 13}
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id: 1959381
{'charpoly_factorization': [[[16, 0, 56, 0, 49, 0, 1], 1]], 'hecke_orbit_code': 45036065026737578, 'p': 17}
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id: 1959382
{'charpoly_factorization': [[[2, -4, -1, 1], 2]], 'hecke_orbit_code': 45036065026737578, 'p': 19}
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id: 1959383
{'charpoly_factorization': [[[71824, 0, 5444, 0, 132, 0, 1], 1]], 'hecke_orbit_code': 45036065026737578, 'p': 23}
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id: 1959384
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 45036065026737578, 'p': 29}
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id: 1959385
{'charpoly_factorization': [[[158, -79, -4, 1], 2]], 'hecke_orbit_code': 45036065026737578, 'p': 31}
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id: 1959386
{'charpoly_factorization': [[[3364, 0, 3305, 0, 114, 0, 1], 1]], 'hecke_orbit_code': 45036065026737578, 'p': 37}
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id: 1959387
{'charpoly_factorization': [[[2, 72, -17, 1], 2]], 'hecke_orbit_code': 45036065026737578, 'p': 41}
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id: 1959388
{'charpoly_factorization': [[[65536, 0, 5184, 0, 128, 0, 1], 1]], 'hecke_orbit_code': 45036065026737578, 'p': 43}
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id: 1959389
{'charpoly_factorization': [[[58564, 0, 6033, 0, 174, 0, 1], 1]], 'hecke_orbit_code': 45036065026737578, 'p': 47}
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id: 1959390
{'charpoly_factorization': [[[1024, 0, 3300, 0, 144, 0, 1], 1]], 'hecke_orbit_code': 45036065026737578, 'p': 53}
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id: 1959391
{'charpoly_factorization': [[[68, 61, 16, 1], 2]], 'hecke_orbit_code': 45036065026737578, 'p': 59}
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id: 1959392
{'charpoly_factorization': [[[146, -107, -2, 1], 2]], 'hecke_orbit_code': 45036065026737578, 'p': 61}
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id: 1959393
{'charpoly_factorization': [[[14641, 0, 2783, 0, 111, 0, 1], 1]], 'hecke_orbit_code': 45036065026737578, 'p': 67}
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id: 1959394
{'charpoly_factorization': [[[268, -34, -8, 1], 2]], 'hecke_orbit_code': 45036065026737578, 'p': 71}
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id: 1959395
{'charpoly_factorization': [[[98596, 0, 10868, 0, 273, 0, 1], 1]], 'hecke_orbit_code': 45036065026737578, 'p': 73}
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id: 1959396
{'charpoly_factorization': [[[432, -252, 0, 1], 2]], 'hecke_orbit_code': 45036065026737578, 'p': 79}
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id: 1959397
{'charpoly_factorization': [[[44944, 0, 6600, 0, 209, 0, 1], 1]], 'hecke_orbit_code': 45036065026737578, 'p': 83}
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id: 1959398
{'charpoly_factorization': [[[-158, 0, 11, 1], 2]], 'hecke_orbit_code': 45036065026737578, 'p': 89}
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id: 1959399
{'charpoly_factorization': [[[26896, 0, 17092, 0, 260, 0, 1], 1]], 'hecke_orbit_code': 45036065026737578, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 11, 'label': '1450.2.b.k', 'level': 1450, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 214650000
{'hecke_orbit_code': 45036065026737578, 'n': 1, 'trace_an': 6}
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id: 214650001
{'hecke_orbit_code': 45036065026737578, 'n': 2, 'trace_an': 0}
-
id: 214650002
{'hecke_orbit_code': 45036065026737578, 'n': 3, 'trace_an': 0}
-
id: 214650003
{'hecke_orbit_code': 45036065026737578, 'n': 4, 'trace_an': -6}
-
id: 214650004
{'hecke_orbit_code': 45036065026737578, 'n': 5, 'trace_an': 0}
-
id: 214650005
{'hecke_orbit_code': 45036065026737578, 'n': 6, 'trace_an': -2}
-
id: 214650006
{'hecke_orbit_code': 45036065026737578, 'n': 7, 'trace_an': 0}
-
id: 214650007
{'hecke_orbit_code': 45036065026737578, 'n': 8, 'trace_an': 0}
-
id: 214650008
{'hecke_orbit_code': 45036065026737578, 'n': 9, 'trace_an': 0}
-
id: 214650009
{'hecke_orbit_code': 45036065026737578, 'n': 10, 'trace_an': 0}
-
id: 214650010
{'hecke_orbit_code': 45036065026737578, 'n': 11, 'trace_an': 10}
-
id: 214650011
{'hecke_orbit_code': 45036065026737578, 'n': 12, 'trace_an': 0}
-
id: 214650012
{'hecke_orbit_code': 45036065026737578, 'n': 13, 'trace_an': 0}
-
id: 214650013
{'hecke_orbit_code': 45036065026737578, 'n': 14, 'trace_an': -4}
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id: 214650014
{'hecke_orbit_code': 45036065026737578, 'n': 15, 'trace_an': 0}
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id: 214650015
{'hecke_orbit_code': 45036065026737578, 'n': 16, 'trace_an': 6}
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id: 214650016
{'hecke_orbit_code': 45036065026737578, 'n': 17, 'trace_an': 0}
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id: 214650017
{'hecke_orbit_code': 45036065026737578, 'n': 18, 'trace_an': 0}
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id: 214650018
{'hecke_orbit_code': 45036065026737578, 'n': 19, 'trace_an': 2}
-
id: 214650019
{'hecke_orbit_code': 45036065026737578, 'n': 20, 'trace_an': 0}
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id: 214650020
{'hecke_orbit_code': 45036065026737578, 'n': 21, 'trace_an': 24}
-
id: 214650021
{'hecke_orbit_code': 45036065026737578, 'n': 22, 'trace_an': 0}
-
id: 214650022
{'hecke_orbit_code': 45036065026737578, 'n': 23, 'trace_an': 0}
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id: 214650023
{'hecke_orbit_code': 45036065026737578, 'n': 24, 'trace_an': 2}
-
id: 214650024
{'hecke_orbit_code': 45036065026737578, 'n': 25, 'trace_an': 0}
-
id: 214650025
{'hecke_orbit_code': 45036065026737578, 'n': 26, 'trace_an': 4}
-
id: 214650026
{'hecke_orbit_code': 45036065026737578, 'n': 27, 'trace_an': 0}
-
id: 214650027
{'hecke_orbit_code': 45036065026737578, 'n': 28, 'trace_an': 0}
-
id: 214650028
{'hecke_orbit_code': 45036065026737578, 'n': 29, 'trace_an': -6}
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id: 214650029
{'hecke_orbit_code': 45036065026737578, 'n': 30, 'trace_an': 0}
-
id: 214650030
{'hecke_orbit_code': 45036065026737578, 'n': 31, 'trace_an': 8}
-
id: 214650031
{'hecke_orbit_code': 45036065026737578, 'n': 32, 'trace_an': 0}
-
id: 214650032
{'hecke_orbit_code': 45036065026737578, 'n': 33, 'trace_an': 0}
-
id: 214650033
{'hecke_orbit_code': 45036065026737578, 'n': 34, 'trace_an': -14}
-
id: 214650034
{'hecke_orbit_code': 45036065026737578, 'n': 35, 'trace_an': 0}
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id: 214650035
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