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mf_newforms • Show schema
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{'Nk2': 4200, 'analytic_conductor': 8.38429221223444, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 35, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 29, 'char_orbit_label': 'bc', 'char_order': 12, 'char_parity': 1, 'char_values': [1050, 12, [701, 127, 451], [12, 3, 2]], 'cm_discs': [], 'conrey_index': 157, 'conrey_indexes': [157, 493, 607, 943], 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[11, [4, -4, 6, 2, 1]], [13, [4096, 0, 0, 0, 896, 0, 0, 0, 1]], [17, [28561, 0, 8112, 0, 599, 0, -48, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9009123433645082, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], '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, 2, 35, 11, 1, 12, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1050.2.bc.c', 'level': 1050, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '1050.2.bc.b', 'nf_label': '8.0.5308416.1', 'prim_orbit_index': 11, 'qexp_display': 'q-\\zeta_{24}^{7}q^{2}+(\\zeta_{24}^{3}-\\zeta_{24}^{7})q^{3}-\\zeta_{24}^{2}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1050.2.bc', 'trace_display': [0, 0, 0, 0], 'trace_hash': 160896596448458362, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.020', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.645', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
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'embedding_m': 7, 'embedding_root_imag': 0.25881904510252074, 'embedding_root_real': -0.9659258262890683, 'hecke_orbit': 3, 'hecke_orbit_code': 9009123433645082, 'label': '1050.2.bc.c.943.1', 'level': 1050, 'weight': 2}
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{'Nk2': 4200, 'analytic_conductor': 8.38429221223444, 'char_conductor': 35, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 29, 'char_orbit_label': 'bc', 'char_order': 12, 'char_parity': 1, 'char_values': [1050, 12, [701, 127, 451], [12, 3, 2]], 'conrey_index': 157, 'cusp_dim': 864, 'dim': 96, 'eis_dim': 192, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17], 'hecke_orbit_code': 1924178904090, 'hecke_orbit_dims': [8, 8, 8, 8, 16, 16, 16, 16], 'label': '1050.2.bc', 'level': 1050, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 1056, 'mf_new_dim': 96, 'num_forms': 8, 'prim_orbit_index': 11, 'relative_dim': 24, 'sturm_bound': 480, 'trace_bound': 19, 'trace_display': [0, 0, 0, 12], 'traces': [96, 0, 0, 0, 0, 0, 12, 0, 0, 0, -16, 0, 0, 0, 0, 48, 0, 0, 0, 0, 8, -8, 8, 0, 0, 48, 0, 12, 0, 0, 96, 0, -12, 0, 0, -96, 16, 48, 0, 0, 0, -4, 48, 0, 0, 16, 24, 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id: 41816169
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 943, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9009123433645082, 'source_is_minimal': True, 'source_label': '1050.2.bc.c.943.1', 'source_level': 1050, 'target_conrey_index': 943, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009123433645082, 'target_is_minimal': True, 'target_label': '1050.2.bc.c.943.1', 'target_level': 1050, 'twist_class_label': '1050.2.bc.b.493.1', 'twist_class_level': 1050, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 41816170
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 943, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9009123433645082, 'source_is_minimal': True, 'source_label': '1050.2.bc.c.943.1', 'source_level': 1050, 'target_conrey_index': 607, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505523806274586, 'target_is_minimal': True, 'target_label': '1050.2.bc.b.607.2', 'target_level': 1050, 'twist_class_label': '1050.2.bc.b.493.1', 'twist_class_level': 1050, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 41816171
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 943, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9009123433645082, 'source_is_minimal': True, 'source_label': '1050.2.bc.c.943.1', 'source_level': 1050, 'target_conrey_index': 607, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505523806274586, 'target_is_minimal': True, 'target_label': '1050.2.bc.b.607.1', 'target_level': 1050, 'twist_class_label': '1050.2.bc.b.493.1', 'twist_class_level': 1050, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 41816172
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 943, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9009123433645082, 'source_is_minimal': True, 'source_label': '1050.2.bc.c.943.1', 'source_level': 1050, 'target_conrey_index': 943, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9009123433645082, 'target_is_minimal': True, 'target_label': '1050.2.bc.c.943.2', 'target_level': 1050, 'twist_class_label': '1050.2.bc.b.493.1', 'twist_class_level': 1050, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 41816173
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 943, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9009123433645082, 'source_is_minimal': True, 'source_label': '1050.2.bc.c.943.1', 'source_level': 1050, 'target_conrey_index': 493, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505523806274586, 'target_is_minimal': True, 'target_label': '1050.2.bc.b.493.2', 'target_level': 1050, 'twist_class_label': '1050.2.bc.b.493.1', 'twist_class_level': 1050, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 41816174
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 943, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9009123433645082, 'source_is_minimal': True, 'source_label': '1050.2.bc.c.943.1', 'source_level': 1050, 'target_conrey_index': 157, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9009123433645082, 'target_is_minimal': True, 'target_label': '1050.2.bc.c.157.2', 'target_level': 1050, 'twist_class_label': '1050.2.bc.b.493.1', 'twist_class_level': 1050, 'twisting_char_label': '35.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 41816175
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 943, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9009123433645082, 'source_is_minimal': True, 'source_label': '1050.2.bc.c.943.1', 'source_level': 1050, 'target_conrey_index': 157, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009123433645082, 'target_is_minimal': True, 'target_label': '1050.2.bc.c.157.1', 'target_level': 1050, 'twist_class_label': '1050.2.bc.b.493.1', 'twist_class_level': 1050, 'twisting_char_label': '35.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 41816176
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 943, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9009123433645082, 'source_is_minimal': True, 'source_label': '1050.2.bc.c.943.1', 'source_level': 1050, 'target_conrey_index': 493, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505523806274586, 'target_is_minimal': True, 'target_label': '1050.2.bc.b.493.1', 'target_level': 1050, 'twist_class_label': '1050.2.bc.b.493.1', 'twist_class_level': 1050, 'twisting_char_label': '35.24', 'twisting_conrey_index': 24, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 1633375
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9009123433645082, 'p': 2}
-
id: 1633376
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9009123433645082, 'p': 3}
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id: 1633377
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9009123433645082, 'p': 5}
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id: 1633378
{'charpoly_factorization': [[[2401, 0, 0, 0, 71, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9009123433645082, 'p': 7}
-
id: 1633379
{'charpoly_factorization': [[[4, -4, 6, 2, 1], 2]], 'hecke_orbit_code': 9009123433645082, 'p': 11}
-
id: 1633380
{'charpoly_factorization': [[[4096, 0, 0, 0, 896, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9009123433645082, 'p': 13}
-
id: 1633381
{'charpoly_factorization': [[[28561, 0, 8112, 0, 599, 0, -48, 0, 1], 1]], 'hecke_orbit_code': 9009123433645082, 'p': 17}
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id: 1633382
{'charpoly_factorization': [[[676, 52, 30, -2, 1], 2]], 'hecke_orbit_code': 9009123433645082, 'p': 19}
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id: 1633383
{'charpoly_factorization': [[[1, 0, 24, 0, 191, 0, -24, 0, 1], 1]], 'hecke_orbit_code': 9009123433645082, 'p': 23}
-
id: 1633384
{'charpoly_factorization': [[[324, 0, 72, 0, 1], 2]], 'hecke_orbit_code': 9009123433645082, 'p': 29}
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id: 1633385
{'charpoly_factorization': [[[2209, -1128, 239, -24, 1], 2]], 'hecke_orbit_code': 9009123433645082, 'p': 31}
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id: 1633386
{'charpoly_factorization': [[[1296, 0, -1296, 0, 396, 0, 36, 0, 1], 1]], 'hecke_orbit_code': 9009123433645082, 'p': 37}
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id: 1633387
{'charpoly_factorization': [[[121, 0, 26, 0, 1], 2]], 'hecke_orbit_code': 9009123433645082, 'p': 41}
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id: 1633388
{'charpoly_factorization': [[[16, 0, 0, 0, 10808, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9009123433645082, 'p': 43}
-
id: 1633389
{'charpoly_factorization': [[[214358881, 0, 0, 0, -14641, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9009123433645082, 'p': 47}
-
id: 1633390
{'charpoly_factorization': [[[4477456, 0, 177744, 0, 236, 0, -84, 0, 1], 1]], 'hecke_orbit_code': 9009123433645082, 'p': 53}
-
id: 1633391
{'charpoly_factorization': [[[16, 32, 60, 8, 1], 2]], 'hecke_orbit_code': 9009123433645082, 'p': 59}
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id: 1633392
{'charpoly_factorization': [[[484, 396, 86, -18, 1], 2]], 'hecke_orbit_code': 9009123433645082, 'p': 61}
-
id: 1633393
{'charpoly_factorization': [[[65536, 0, 0, 0, -256, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9009123433645082, 'p': 67}
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id: 1633394
{'charpoly_factorization': [[[-191, -2, 1], 4]], 'hecke_orbit_code': 9009123433645082, 'p': 71}
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id: 1633395
{'charpoly_factorization': [[[16777216, 0, 0, 0, -4096, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9009123433645082, 'p': 73}
-
id: 1633396
{'charpoly_factorization': [[[17161, -5502, 719, -42, 1], 2]], 'hecke_orbit_code': 9009123433645082, 'p': 79}
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id: 1633397
{'charpoly_factorization': [[[18974736, 0, 0, 0, 19512, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9009123433645082, 'p': 83}
-
id: 1633398
{'charpoly_factorization': [[[9, -18, 39, 6, 1], 2]], 'hecke_orbit_code': 9009123433645082, 'p': 89}
-
id: 1633399
{'charpoly_factorization': [[[2401, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 9009123433645082, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 29, 'hecke_orbit': 3, 'label': '1050.2.bc.c', 'level': 1050, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 124399000
{'hecke_orbit_code': 9009123433645082, 'n': 1, 'trace_an': 8}
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id: 124399001
{'hecke_orbit_code': 9009123433645082, 'n': 2, 'trace_an': 0}
-
id: 124399002
{'hecke_orbit_code': 9009123433645082, 'n': 3, 'trace_an': 0}
-
id: 124399003
{'hecke_orbit_code': 9009123433645082, 'n': 4, 'trace_an': 0}
-
id: 124399004
{'hecke_orbit_code': 9009123433645082, 'n': 5, 'trace_an': 0}
-
id: 124399005
{'hecke_orbit_code': 9009123433645082, 'n': 6, 'trace_an': 0}
-
id: 124399006
{'hecke_orbit_code': 9009123433645082, 'n': 7, 'trace_an': 0}
-
id: 124399007
{'hecke_orbit_code': 9009123433645082, 'n': 8, 'trace_an': 0}
-
id: 124399008
{'hecke_orbit_code': 9009123433645082, 'n': 9, 'trace_an': 0}
-
id: 124399009
{'hecke_orbit_code': 9009123433645082, 'n': 10, 'trace_an': 0}
-
id: 124399010
{'hecke_orbit_code': 9009123433645082, 'n': 11, 'trace_an': -4}
-
id: 124399011
{'hecke_orbit_code': 9009123433645082, 'n': 12, 'trace_an': 0}
-
id: 124399012
{'hecke_orbit_code': 9009123433645082, 'n': 13, 'trace_an': 0}
-
id: 124399013
{'hecke_orbit_code': 9009123433645082, 'n': 14, 'trace_an': 0}
-
id: 124399014
{'hecke_orbit_code': 9009123433645082, 'n': 15, 'trace_an': 0}
-
id: 124399015
{'hecke_orbit_code': 9009123433645082, 'n': 16, 'trace_an': 4}
-
id: 124399016
{'hecke_orbit_code': 9009123433645082, 'n': 17, 'trace_an': 0}
-
id: 124399017
{'hecke_orbit_code': 9009123433645082, 'n': 18, 'trace_an': 0}
-
id: 124399018
{'hecke_orbit_code': 9009123433645082, 'n': 19, 'trace_an': 4}
-
id: 124399019
{'hecke_orbit_code': 9009123433645082, 'n': 20, 'trace_an': 0}
-
id: 124399020
{'hecke_orbit_code': 9009123433645082, 'n': 21, 'trace_an': 0}
-
id: 124399021
{'hecke_orbit_code': 9009123433645082, 'n': 22, 'trace_an': 0}
-
id: 124399022
{'hecke_orbit_code': 9009123433645082, 'n': 23, 'trace_an': 0}
-
id: 124399023
{'hecke_orbit_code': 9009123433645082, 'n': 24, 'trace_an': -4}
-
id: 124399024
{'hecke_orbit_code': 9009123433645082, 'n': 25, 'trace_an': 0}
-
id: 124399025
{'hecke_orbit_code': 9009123433645082, 'n': 26, 'trace_an': 24}
-
id: 124399026
{'hecke_orbit_code': 9009123433645082, 'n': 27, 'trace_an': 0}
-
id: 124399027
{'hecke_orbit_code': 9009123433645082, 'n': 28, 'trace_an': 0}
-
id: 124399028
{'hecke_orbit_code': 9009123433645082, 'n': 29, 'trace_an': 0}
-
id: 124399029
{'hecke_orbit_code': 9009123433645082, 'n': 30, 'trace_an': 0}
-
id: 124399030
{'hecke_orbit_code': 9009123433645082, 'n': 31, 'trace_an': 48}
-
id: 124399031
{'hecke_orbit_code': 9009123433645082, 'n': 32, 'trace_an': 0}
-
id: 124399032
{'hecke_orbit_code': 9009123433645082, 'n': 33, 'trace_an': 0}
-
id: 124399033
{'hecke_orbit_code': 9009123433645082, 'n': 34, 'trace_an': -32}
-
id: 124399034
{'hecke_orbit_code': 9009123433645082, 'n': 35, 'trace_an': 0}
-
id: 124399035
{'hecke_orbit_code': 9009123433645082, 'n': 36, 'trace_an': -8}
-
id: 124399036
{'hecke_orbit_code': 9009123433645082, 'n': 37, 'trace_an': 0}
-
id: 124399037
{'hecke_orbit_code': 9009123433645082, 'n': 38, 'trace_an': 0}
-
id: 124399038
{'hecke_orbit_code': 9009123433645082, 'n': 39, 'trace_an': 24}
-
id: 124399039
{'hecke_orbit_code': 9009123433645082, 'n': 40, 'trace_an': 0}
-
id: 124399040
{'hecke_orbit_code': 9009123433645082, 'n': 41, 'trace_an': 0}
-
id: 124399041
{'hecke_orbit_code': 9009123433645082, 'n': 42, 'trace_an': 0}
-
id: 124399042
{'hecke_orbit_code': 9009123433645082, 'n': 43, 'trace_an': 0}
-
id: 124399043
{'hecke_orbit_code': 9009123433645082, 'n': 44, 'trace_an': -12}
-
id: 124399044
{'hecke_orbit_code': 9009123433645082, 'n': 45, 'trace_an': 0}
-
id: 124399045
{'hecke_orbit_code': 9009123433645082, 'n': 46, 'trace_an': 8}
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