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mf_newforms • Show schema
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{'Nk2': 3328, 'analytic_conductor': 6.643553448170528, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [832, 2, [703, 261, 769], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 417, 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, 0, 6, 0, 1]], [7, [7, -6, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503668380402496, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3328, 'analytic_conductor': 6.643553448170528, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [832, 2, [703, 261, 769], [2, 1, 2]], 'conrey_index': 417, 'cusp_dim': 100, 'dim': 24, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 68753032000, 'hecke_orbit_dims': [4, 4, 8, 8], 'label': '832.2.b', 'level': 832, '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': [2, 13], 'level_radical': 26, 'mf_dim': 124, 'mf_new_dim': 24, 'num_forms': 4, 'prim_orbit_index': 2, 'relative_dim': 24, 'sturm_bound': 224, 'trace_bound': 15, 'trace_display': [0, 0, 0, 0], 'traces': [24, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 34523890
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503668380402496, 'source_is_minimal': True, 'source_label': '832.2.b.b.417.3', 'source_level': 832, 'target_conrey_index': 417, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503668380402496, 'target_is_minimal': True, 'target_label': '832.2.b.b.417.3', 'target_level': 832, 'twist_class_label': '832.2.b.a.417.2', 'twist_class_level': 832, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 34523891
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 417, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503668380402496, 'source_is_minimal': True, 'source_label': '832.2.b.b.417.3', 'source_level': 832, 'target_conrey_index': 417, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68753032000, 'target_is_minimal': True, 'target_label': '832.2.b.a.417.2', 'target_level': 832, 'twist_class_label': '832.2.b.a.417.2', 'twist_class_level': 832, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 34523892
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 417, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503668380402496, 'source_is_minimal': True, 'source_label': '832.2.b.b.417.3', 'source_level': 832, 'target_conrey_index': 417, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 68753032000, 'target_is_minimal': True, 'target_label': '832.2.b.a.417.3', 'target_level': 832, 'twist_class_label': '832.2.b.a.417.2', 'twist_class_level': 832, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 34523893
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503668380402496, 'source_is_minimal': True, 'source_label': '832.2.b.b.417.3', 'source_level': 832, 'target_conrey_index': 417, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503668380402496, 'target_is_minimal': True, 'target_label': '832.2.b.b.417.2', 'target_level': 832, 'twist_class_label': '832.2.b.a.417.2', 'twist_class_level': 832, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 34523894
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 417, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503668380402496, 'source_is_minimal': True, 'source_label': '832.2.b.b.417.3', 'source_level': 832, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67553994444115200, 'target_is_minimal': False, 'target_label': '3328.2.a.p.1.2', 'target_level': 3328, 'twist_class_label': '832.2.b.a.417.2', 'twist_class_level': 832, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 34523895
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503668380402496, 'source_is_minimal': True, 'source_label': '832.2.b.b.417.3', 'source_level': 832, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057594071485696, 'target_is_minimal': False, 'target_label': '3328.2.a.q.1.2', 'target_level': 3328, 'twist_class_label': '832.2.b.a.417.2', 'twist_class_level': 832, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 34523896
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 417, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503668380402496, 'source_is_minimal': True, 'source_label': '832.2.b.b.417.3', 'source_level': 832, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 121597189972561152, 'target_is_minimal': False, 'target_label': '3328.2.a.bb.1.1', 'target_level': 3328, 'twist_class_label': '832.2.b.a.417.2', 'twist_class_level': 832, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 34523897
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503668380402496, 'source_is_minimal': True, 'source_label': '832.2.b.b.417.3', 'source_level': 832, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391090449664, 'target_is_minimal': False, 'target_label': '3328.2.a.y.1.1', 'target_level': 3328, 'twist_class_label': '832.2.b.a.417.2', 'twist_class_level': 832, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1383225
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503668380402496, 'p': 2}
-
id: 1383226
{'charpoly_factorization': [[[1, 0, 6, 0, 1], 1]], 'hecke_orbit_code': 4503668380402496, 'p': 3}
-
id: 1383227
{'charpoly_factorization': [[[49, 0, 18, 0, 1], 1]], 'hecke_orbit_code': 4503668380402496, 'p': 5}
-
id: 1383228
{'charpoly_factorization': [[[7, -6, 1], 2]], 'hecke_orbit_code': 4503668380402496, 'p': 7}
-
id: 1383229
{'charpoly_factorization': [[[16, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 4503668380402496, 'p': 11}
-
id: 1383230
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 4503668380402496, 'p': 13}
-
id: 1383231
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 4503668380402496, 'p': 17}
-
id: 1383232
{'charpoly_factorization': [[[32, 0, 1], 2]], 'hecke_orbit_code': 4503668380402496, 'p': 19}
-
id: 1383233
{'charpoly_factorization': [[[28, -12, 1], 2]], 'hecke_orbit_code': 4503668380402496, 'p': 23}
-
id: 1383234
{'charpoly_factorization': [[[784, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 4503668380402496, 'p': 29}
-
id: 1383235
{'charpoly_factorization': [[[-28, -4, 1], 2]], 'hecke_orbit_code': 4503668380402496, 'p': 31}
-
id: 1383236
{'charpoly_factorization': [[[49, 0, 1], 2]], 'hecke_orbit_code': 4503668380402496, 'p': 37}
-
id: 1383237
{'charpoly_factorization': [[[-16, 8, 1], 2]], 'hecke_orbit_code': 4503668380402496, 'p': 41}
-
id: 1383238
{'charpoly_factorization': [[[2209, 0, 102, 0, 1], 1]], 'hecke_orbit_code': 4503668380402496, 'p': 43}
-
id: 1383239
{'charpoly_factorization': [[[7, 10, 1], 2]], 'hecke_orbit_code': 4503668380402496, 'p': 47}
-
id: 1383240
{'charpoly_factorization': [[[784, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 4503668380402496, 'p': 53}
-
id: 1383241
{'charpoly_factorization': [[[64, 0, 1], 2]], 'hecke_orbit_code': 4503668380402496, 'p': 59}
-
id: 1383242
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503668380402496, 'p': 61}
-
id: 1383243
{'charpoly_factorization': [[[784, 0, 88, 0, 1], 1]], 'hecke_orbit_code': 4503668380402496, 'p': 67}
-
id: 1383244
{'charpoly_factorization': [[[-161, -2, 1], 2]], 'hecke_orbit_code': 4503668380402496, 'p': 71}
-
id: 1383245
{'charpoly_factorization': [[[-16, -8, 1], 2]], 'hecke_orbit_code': 4503668380402496, 'p': 73}
-
id: 1383246
{'charpoly_factorization': [[[-196, -4, 1], 2]], 'hecke_orbit_code': 4503668380402496, 'p': 79}
-
id: 1383247
{'charpoly_factorization': [[[38416, 0, 408, 0, 1], 1]], 'hecke_orbit_code': 4503668380402496, 'p': 83}
-
id: 1383248
{'charpoly_factorization': [[[32, 16, 1], 2]], 'hecke_orbit_code': 4503668380402496, 'p': 89}
-
id: 1383249
{'charpoly_factorization': [[[-28, 4, 1], 2]], 'hecke_orbit_code': 4503668380402496, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 2, 'label': '832.2.b.b', 'level': 832, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 20376816
{'hecke_orbit_code': 4503668380402496, 'n': 1, 'trace_an': 4}
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id: 20376817
{'hecke_orbit_code': 4503668380402496, 'n': 2, 'trace_an': 0}
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id: 20376818
{'hecke_orbit_code': 4503668380402496, 'n': 3, 'trace_an': 0}
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id: 20376819
{'hecke_orbit_code': 4503668380402496, 'n': 4, 'trace_an': 0}
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id: 20376820
{'hecke_orbit_code': 4503668380402496, 'n': 5, 'trace_an': 0}
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id: 20376821
{'hecke_orbit_code': 4503668380402496, 'n': 6, 'trace_an': 0}
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id: 20376822
{'hecke_orbit_code': 4503668380402496, 'n': 7, 'trace_an': 12}
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id: 20376823
{'hecke_orbit_code': 4503668380402496, 'n': 8, 'trace_an': 0}
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id: 20376824
{'hecke_orbit_code': 4503668380402496, 'n': 9, 'trace_an': 0}
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id: 20376825
{'hecke_orbit_code': 4503668380402496, 'n': 10, 'trace_an': 0}
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id: 20376826
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