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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': -24681024, 'field_disc_factorization': [[-1, 1], [2, 6], [3, 6], [23, 2]], 'field_poly': [9, 0, 36, 0, 12, 0, 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, [64, 0, 57, 0, 15, 0, 1]], [7, [2116, 0, 501, 0, 39, 0, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539664654108074, 'hecke_ring_generator_nbound': 3, '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, 5, 2, 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mf_hecke_nf • Show schema
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'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, 1, 3, 3, 3, 3], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-4, 0, 0, -1, 1, 0], [0, -6, 3, 0, 0, 0], [24, 0, 0, 9, -6, 0], [0, 39, -30, 0, 0, 3]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 6, 0, 1, 0, 0], [0, 0, 6, 0, 1, 0], [12, 0, 9, 0, 1, 0], [0, 21, 0, 10, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '1450.2.b.l', '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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mf_twists_nf • Show schema
Hide schema
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id: 737654
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1450.2.b.l', 'source_level': 1450, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '290.2.a.e', 'target_level': 290, 'twist_class_label': '290.2.a.e', 'twist_class_level': 290, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 737655
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1450.2.b.l', 'source_level': 1450, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1450.2.a.p', 'target_level': 1450, 'twist_class_label': '290.2.a.e', 'twist_class_level': 290, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 737656
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1450.2.b.l', 'source_level': 1450, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1450.2.b.l', 'target_level': 1450, 'twist_class_label': '290.2.a.e', 'twist_class_level': 290, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 737657
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1450.2.b.l', 'source_level': 1450, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1450.2.b.l', 'target_level': 1450, 'twist_class_label': '290.2.a.e', 'twist_class_level': 290, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 737658
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1450.2.b.l', 'source_level': 1450, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2320.2.a.l', 'target_level': 2320, 'twist_class_label': '290.2.a.e', 'twist_class_level': 290, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 737659
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1450.2.b.l', 'source_level': 1450, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '2610.2.a.x', 'target_level': 2610, 'twist_class_label': '290.2.a.e', 'twist_class_level': 290, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 737660
{'conductor': 145, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1450.2.b.l', 'source_level': 1450, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '8410.2.a.v', 'target_level': 8410, 'twist_class_label': '290.2.a.e', 'twist_class_level': 290, 'twisting_char_label': '145.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 737661
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1450.2.b.l', 'source_level': 1450, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '9280.2.a.bf', 'target_level': 9280, 'twist_class_label': '290.2.a.e', 'twist_class_level': 290, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 737662
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1450.2.b.l', 'source_level': 1450, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 51, 'target_is_minimal': False, 'target_label': '9280.2.a.by', 'target_level': 9280, 'twist_class_label': '290.2.a.e', 'twist_class_level': 290, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1959400
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 49539664654108074, 'p': 2}
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id: 1959401
{'charpoly_factorization': [[[64, 0, 57, 0, 15, 0, 1], 1]], 'hecke_orbit_code': 49539664654108074, 'p': 3}
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id: 1959402
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 49539664654108074, 'p': 5}
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id: 1959403
{'charpoly_factorization': [[[2116, 0, 501, 0, 39, 0, 1], 1]], 'hecke_orbit_code': 49539664654108074, 'p': 7}
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id: 1959404
{'charpoly_factorization': [[[-24, -24, 0, 1], 2]], 'hecke_orbit_code': 49539664654108074, 'p': 11}
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id: 1959405
{'charpoly_factorization': [[[13924, 0, 1797, 0, 75, 0, 1], 1]], 'hecke_orbit_code': 49539664654108074, 'p': 13}
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id: 1959406
{'charpoly_factorization': [[[324, 0, 189, 0, 27, 0, 1], 1]], 'hecke_orbit_code': 49539664654108074, 'p': 17}
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id: 1959407
{'charpoly_factorization': [[[56, -48, 0, 1], 2]], 'hecke_orbit_code': 49539664654108074, 'p': 19}
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id: 1959408
{'charpoly_factorization': [[[19044, 0, 5661, 0, 147, 0, 1], 1]], 'hecke_orbit_code': 49539664654108074, 'p': 23}
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id: 1959409
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 49539664654108074, 'p': 29}
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id: 1959410
{'charpoly_factorization': [[[-2, 15, 9, 1], 2]], 'hecke_orbit_code': 49539664654108074, 'p': 31}
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id: 1959411
{'charpoly_factorization': [[[53824, 0, 5184, 0, 144, 0, 1], 1]], 'hecke_orbit_code': 49539664654108074, 'p': 37}
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id: 1959412
{'charpoly_factorization': [[[-456, -24, 12, 1], 2]], 'hecke_orbit_code': 49539664654108074, 'p': 41}
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id: 1959413
{'charpoly_factorization': [[[256, 0, 513, 0, 51, 0, 1], 1]], 'hecke_orbit_code': 49539664654108074, 'p': 43}
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id: 1959414
{'charpoly_factorization': [[[36864, 0, 9216, 0, 192, 0, 1], 1]], 'hecke_orbit_code': 49539664654108074, 'p': 47}
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id: 1959415
{'charpoly_factorization': [[[236196, 0, 15309, 0, 243, 0, 1], 1]], 'hecke_orbit_code': 49539664654108074, 'p': 53}
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id: 1959416
{'charpoly_factorization': [[[168, 3, -15, 1], 2]], 'hecke_orbit_code': 49539664654108074, 'p': 59}
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id: 1959417
{'charpoly_factorization': [[[226, 21, -15, 1], 2]], 'hecke_orbit_code': 49539664654108074, 'p': 61}
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id: 1959418
{'charpoly_factorization': [[[541696, 0, 26496, 0, 324, 0, 1], 1]], 'hecke_orbit_code': 49539664654108074, 'p': 67}
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id: 1959419
{'charpoly_factorization': [[[12, 1], 6]], 'hecke_orbit_code': 49539664654108074, 'p': 71}
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id: 1959420
{'charpoly_factorization': [[[4, 0, 261, 0, 51, 0, 1], 1]], 'hecke_orbit_code': 49539664654108074, 'p': 73}
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id: 1959421
{'charpoly_factorization': [[[-1102, -135, 9, 1], 2]], 'hecke_orbit_code': 49539664654108074, 'p': 79}
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id: 1959422
{'charpoly_factorization': [[[5184, 0, 1728, 0, 144, 0, 1], 1]], 'hecke_orbit_code': 49539664654108074, 'p': 83}
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id: 1959423
{'charpoly_factorization': [[[24, -24, 0, 1], 2]], 'hecke_orbit_code': 49539664654108074, 'p': 89}
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id: 1959424
{'charpoly_factorization': [[[4, 0, 45, 0, 99, 0, 1], 1]], 'hecke_orbit_code': 49539664654108074, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 12, 'label': '1450.2.b.l', 'level': 1450, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 220182000
{'hecke_orbit_code': 49539664654108074, 'n': 1, 'trace_an': 6}
-
id: 220182001
{'hecke_orbit_code': 49539664654108074, 'n': 2, 'trace_an': 0}
-
id: 220182002
{'hecke_orbit_code': 49539664654108074, 'n': 3, 'trace_an': 0}
-
id: 220182003
{'hecke_orbit_code': 49539664654108074, 'n': 4, 'trace_an': -6}
-
id: 220182004
{'hecke_orbit_code': 49539664654108074, 'n': 5, 'trace_an': 0}
-
id: 220182005
{'hecke_orbit_code': 49539664654108074, 'n': 6, 'trace_an': 6}
-
id: 220182006
{'hecke_orbit_code': 49539664654108074, 'n': 7, 'trace_an': 0}
-
id: 220182007
{'hecke_orbit_code': 49539664654108074, 'n': 8, 'trace_an': 0}
-
id: 220182008
{'hecke_orbit_code': 49539664654108074, 'n': 9, 'trace_an': -12}
-
id: 220182009
{'hecke_orbit_code': 49539664654108074, 'n': 10, 'trace_an': 0}
-
id: 220182010
{'hecke_orbit_code': 49539664654108074, 'n': 11, 'trace_an': 0}
-
id: 220182011
{'hecke_orbit_code': 49539664654108074, 'n': 12, 'trace_an': 0}
-
id: 220182012
{'hecke_orbit_code': 49539664654108074, 'n': 13, 'trace_an': 0}
-
id: 220182013
{'hecke_orbit_code': 49539664654108074, 'n': 14, 'trace_an': -6}
-
id: 220182014
{'hecke_orbit_code': 49539664654108074, 'n': 15, 'trace_an': 0}
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id: 220182015
{'hecke_orbit_code': 49539664654108074, 'n': 16, 'trace_an': 6}
-
id: 220182016
{'hecke_orbit_code': 49539664654108074, 'n': 17, 'trace_an': 0}
-
id: 220182017
{'hecke_orbit_code': 49539664654108074, 'n': 18, 'trace_an': 0}
-
id: 220182018
{'hecke_orbit_code': 49539664654108074, 'n': 19, 'trace_an': 0}
-
id: 220182019
{'hecke_orbit_code': 49539664654108074, 'n': 20, 'trace_an': 0}
-
id: 220182020
{'hecke_orbit_code': 49539664654108074, 'n': 21, 'trace_an': -24}
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