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mf_newforms • Show schema
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{'Nk2': 1848, 'analytic_conductor': 3.6890885733831538, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 21, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 6, 'char_parity': 1, 'char_values': [462, 6, [155, 199, 211], [3, 5, 6]], 'cm_discs': [], 'conrey_index': 89, 'conrey_indexes': [89, 353], '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': [[5, [81, 0, 162, 0, 315, 0, 18, 0, 1]], [17, [194481, 0, 23814, 0, 2475, 0, 54, 0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511486110433742, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 36, 'hecke_ring_index_factorization': [[2, 2], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1848, 'analytic_conductor': 3.6890885733831538, 'char_conductor': 21, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 6, 'char_parity': 1, 'char_values': [462, 6, [155, 199, 211], [3, 5, 6]], 'conrey_index': 89, 'cusp_dim': 176, 'dim': 56, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 17], 'hecke_orbit_code': 687228322254, 'hecke_orbit_dims': [4, 4, 4, 8, 8, 8, 20], 'label': '462.2.k', 'level': 462, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 208, 'mf_new_dim': 56, 'num_forms': 7, 'prim_orbit_index': 7, 'relative_dim': 28, 'sturm_bound': 192, 'trace_bound': 15, 'trace_display': [0, 0, 0, 16], 'traces': [56, 0, 0, 28, 0, 0, 16, 0, 4, 0, 0, 0, 0, 0, -8, -28, 0, 8, -24, 0, 16, 0, 0, -12, -36, 0, 0, 8, 0, 0, 24, 0, 0, 0, 0, 8, -12, 0, -20, 0, 0, 36, 0, 0, 48, 16, 0, 0, -40, 0, 4, -24, 0, -36, 0, 0, 8, 12, 0, -4, 0, 0, -56, -56, 0, 0, 0, 0, 0, 32, 0, -8, 48, 0, -36, 0, 0, 0, 0, 0, -20, 24, 0, -4, 16, 0, -36, 0, 0, 0, -16, 0, -28, -48, 0, -12, 0, 0, 0, 36, 0, 4, 24, 0, -4, 16, 0, -36, -48, 0, 0, -8, 0, -4, -72, 0, 84, 0, 0, 0, 28, 0, 36, 24, 0, -12, -128, 0, -36, -56, 0, 0, 124, 0, 20, 12, 0, -24, 0, 0, -8, 40, 0, 4, 0, 0, -100, -24, 0, -24, 72, 0, 0, 8, 0, 20, 12, 0, -12, 0, 0, 64, 72, 0, -32, -96, 0, 36, 24, 0, 60, 0, 0, 0, -176, 0, 4, 72, 0, 48, 0, 0, -128, -16, 0, -12, -24, 0, 144, 80, 0, 0, 48, 0, 0, -44, 0, 8, -216, 0, -24, 0, 0, 8, -136, 0, 44, -24, 0, -92, 16, 0, 84, -24, 0, 0, -24, 0, 16, 0, 0, 60, 0, 0, 152, -8, 0, 4, 48, 0, -44, 24, 0, 60, 168, 0, 0, -96, 0, 4, 264, 0, 180, 0, 0, -16, 16, 0, 140, 216, 0, -28, 8, 0, -192, -28, 0, 0, 168, 0, 12, 48, 0, 0, 0, 0, -40, 0, 0, -108, 24, 0, 136, 16, 0, 96, -96, 0, 0, 16, 0, -16, -24, 0, -216, 0, 0, -16, -56, 0, -56, 48, 0, 72, 0, 0, 72, -20, 0, 0, 152, 0, 4, 24, 0, -24, 0, 0, -240, -80, 0, 0, 180, 0, 44, 0, 0, 0, 16, 0, 0, -68, 0, 20, 48, 0, 12, 0, 0, -40, -88, 0, -8, -192, 0, -20, 192, 0, -72, 8, 0, 0, -128, 0, -64, 216, 0, -36, 0, 0, 56, 0, 0, 80, -192, 0, 88, -176, 0, -36, 24, 0, 0, 88, 0, -28, -336, 0, 72, 0, 0, -56, 152, 0, -100, -48, 0, -108, -224, 0, -108, -8, 0, 0, 40, 0, -44, 12, 0, 168, 0, 0, 176, 4, 0, 0, -132, 0, -72, 72, 0, 192, -200, 0, 0, 40, 0, -4, 96, 0, -60, 0, 0, -128, 24, 0, 96, -84, 0, 28, -264, 0, 168, 8, 0, 0, -16, 0, -24, -240, 0, -36, 0, 0, 424, 48, 0, 116, 0, 0, -60, 16, 0, 72, -40, 0, 0, -16, 0, 16, -96, 0, -204, 0, 0, -8, 72, 0, -56, -72, 0, -56, 64, 0, -48, 148, 0, 0, -232, 0, 108, 0, 0, 84, 0, 0, 32, -104, 0, 0, -72, 0, 120, 56, 0, -192, -88, 0, 0, 80, 0, -36, 132, 0, 84, 0, 0, -24, 208, 0, -148, 48, 0, 60, 160, 0, 96, -64, 0, 0, -72, 0, 92, -72, 0, -36, 0, 0, -80, 56, 0, -32, 72, 0, -60, 16, 0, 0, 16, 0, 0, 104, 0, -124, 360, 0, -204, 0, 0, 40, -40, 0, -172, 12, 0, 80, 16, 0, -228, 8, 0, 0, 128, 0, -180, -216, 0, -276, 0, 0, -8, -60, 0, -4, -408, 0, -284, 80, 0, -240, -80, 0, 0, -40, 0, -4, -192, 0, 0, 0, 0, 88, 24, 0, 224, 84, 0, -56, -208, 0, -144, -12, 0, 0, 272, 0, 80, -96, 0, -24, 0, 0, -112, -72, 0, -8, 552, 0, -492, 96, 0, 36, -48, 0, 0, 4, 0, 156, 216, 0, -24, 0, 0, 40, -212, 0, -24, 12, 0, 120, -64, 0, 144, 16, 0, 0, -448, 0, -40, 0, 0, 240, 0, 0, -112, 192, 0, 32, -12, 0, 500, 144, 0, -252, 264, 0, 0, -164, 0, 32, -252, 0, 420, 0, 0, 160, -8, 0, 108, 144, 0, 0, 304, 0, 684, 12, 0, 0, 104, 0, 112, 0, 0, 60, 0, 0, 112, 0, 0, 40, 168, 0, -72, 0, 0, 48, 416, 0, 0, -112, 0, -4, 528, 0, 336, 0, 0, 8, 36, 0, 112, 72, 0, 80, 112, 0, -276, 64, 0, 0, 312, 0, 76, 72, 0, 12, 0, 0, -344, 96, 0, -64, -72, 0, 136, -32, 0, 108, -152, 0, 0, 320, 0, 12, 48, 0, -324, 0, 0, -216, -248, 0, -204, 120, 0, 48, -40, 0, 144, 40, 0, 0, 328, 0, -88, 48, 0, 0, 0, 0, -136, -48, 0, -124, 264, 0, 48, -176, 0, -156, 44, 0, 0, -4, 0, 204, -504, 0, 108, 0, 0, 16, 8, 0, 156, -216, 0, -24, 480, 0, -384, -16, 0, 0, -576, 0, -56, 60, 0, -288, 0, 0, 56, -48, 0, 4, 276, 0, 156, -272, 0, 288, -88, 0, 0, 192, 0, -44, -636, 0, 264, 0, 0, 72, -56, 0, -96, -144, 0, -112, -528, 0, -24, 8, 0, 0, 8, 0, -8, -204, 0, 84, 0, 0, -216, 24, 0, -28, -72, 0, 84, -48, 0, 36, -304, 0, 0, -144, 0, -56, 456, 0, 12, 0, 0, 32, -24, 0, 236, 0, 0, 88, 368, 0, 300, 136, 0, 0, -272, 0, -32, 144, 0, -108, 0, 0, 24, 64, 0, 76, -168, 0, -216, -16, 0, 240, -144, 0, 0, -248, 0, -4, -96, 0, -648, 0, 0, -80, -280, 0, -36, -180, 0, -52, 312, 0, -240, 12, 0, 0, -152, 0, -84, 264, 0, 60, 0, 0, 240, -168, 0, -28, -576, 0, 220, 40, 0, -228, -112, 0, 0, -72, 0, -148, 216, 0, 0, 0, 0, 8, 332, 0, -308, 264, 0, 128, -128, 0, 300, -328, 0, 0, -8, 0, 104, 0, 0, -144, 0, 0, 0, 32, 0, -8, -120, 0, -16, 32, 0, 0, 64, 0, 0, 244, 0, -140, 384, 0, -132, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43426380
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511486110433742, 'source_is_minimal': True, 'source_label': '462.2.k.d.89.3', 'source_level': 462, 'target_conrey_index': 89, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511486110433742, 'target_is_minimal': True, 'target_label': '462.2.k.d.89.3', 'target_level': 462, 'twist_class_label': '462.2.k.d.89.2', 'twist_class_level': 462, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43426381
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511486110433742, 'source_is_minimal': True, 'source_label': '462.2.k.d.89.3', 'source_level': 462, 'target_conrey_index': 89, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511486110433742, 'target_is_minimal': True, 'target_label': '462.2.k.d.89.2', 'target_level': 462, 'twist_class_label': '462.2.k.d.89.2', 'twist_class_level': 462, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43426382
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511486110433742, 'source_is_minimal': True, 'source_label': '462.2.k.d.89.3', 'source_level': 462, 'target_conrey_index': 353, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511486110433742, 'target_is_minimal': True, 'target_label': '462.2.k.d.353.2', 'target_level': 462, 'twist_class_label': '462.2.k.d.89.2', 'twist_class_level': 462, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43426383
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511486110433742, 'source_is_minimal': True, 'source_label': '462.2.k.d.89.3', 'source_level': 462, 'target_conrey_index': 353, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511486110433742, 'target_is_minimal': True, 'target_label': '462.2.k.d.353.3', 'target_level': 462, 'twist_class_label': '462.2.k.d.89.2', 'twist_class_level': 462, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 924750
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 2]], 'hecke_orbit_code': 13511486110433742, 'p': 2}
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id: 924751
{'charpoly_factorization': [[[3, 3, 1], 4]], 'hecke_orbit_code': 13511486110433742, 'p': 3}
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id: 924752
{'charpoly_factorization': [[[81, 0, 162, 0, 315, 0, 18, 0, 1], 1]], 'hecke_orbit_code': 13511486110433742, 'p': 5}
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id: 924753
{'charpoly_factorization': [[[49, -14, -3, -2, 1], 2]], 'hecke_orbit_code': 13511486110433742, 'p': 7}
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id: 924754
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 2]], 'hecke_orbit_code': 13511486110433742, 'p': 11}
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id: 924755
{'charpoly_factorization': [[[12, 0, 1], 4]], 'hecke_orbit_code': 13511486110433742, 'p': 13}
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id: 924756
{'charpoly_factorization': [[[194481, 0, 23814, 0, 2475, 0, 54, 0, 1], 1]], 'hecke_orbit_code': 13511486110433742, 'p': 17}
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id: 924757
{'charpoly_factorization': [[[144, -144, 36, 12, 1], 2]], 'hecke_orbit_code': 13511486110433742, 'p': 19}
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id: 924758
{'charpoly_factorization': [[[6561, 0, -4374, 0, 2835, 0, -54, 0, 1], 1]], 'hecke_orbit_code': 13511486110433742, 'p': 23}
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id: 924759
{'charpoly_factorization': [[[72, 0, 1], 4]], 'hecke_orbit_code': 13511486110433742, 'p': 29}
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id: 924760
{'charpoly_factorization': [[[144, -144, 36, 12, 1], 2]], 'hecke_orbit_code': 13511486110433742, 'p': 31}
-
id: 924761
{'charpoly_factorization': [[[16, 4, 1], 4]], 'hecke_orbit_code': 13511486110433742, 'p': 37}
-
id: 924762
{'charpoly_factorization': [[[-27, 0, 1], 4]], 'hecke_orbit_code': 13511486110433742, 'p': 41}
-
id: 924763
{'charpoly_factorization': [[[-56, -8, 1], 4]], 'hecke_orbit_code': 13511486110433742, 'p': 43}
-
id: 924764
{'charpoly_factorization': [[[81, 0, 162, 0, 315, 0, 18, 0, 1], 1]], 'hecke_orbit_code': 13511486110433742, 'p': 47}
-
id: 924765
{'charpoly_factorization': [[[5184, 0, -72, 0, 1], 2]], 'hecke_orbit_code': 13511486110433742, 'p': 53}
-
id: 924766
{'charpoly_factorization': [[[49787136, 0, 1524096, 0, 39600, 0, 216, 0, 1], 1]], 'hecke_orbit_code': 13511486110433742, 'p': 59}
-
id: 924767
{'charpoly_factorization': [[[9, -18, 9, 6, 1], 2]], 'hecke_orbit_code': 13511486110433742, 'p': 61}
-
id: 924768
{'charpoly_factorization': [[[2209, -470, 147, 10, 1], 2]], 'hecke_orbit_code': 13511486110433742, 'p': 67}
-
id: 924769
{'charpoly_factorization': [[[36, 0, 1], 4]], 'hecke_orbit_code': 13511486110433742, 'p': 71}
-
id: 924770
{'charpoly_factorization': [[[144, -144, 36, 12, 1], 2]], 'hecke_orbit_code': 13511486110433742, 'p': 73}
-
id: 924771
{'charpoly_factorization': [[[289, 34, 21, -2, 1], 2]], 'hecke_orbit_code': 13511486110433742, 'p': 79}
-
id: 924772
{'charpoly_factorization': [[[441, 0, -54, 0, 1], 2]], 'hecke_orbit_code': 13511486110433742, 'p': 83}
-
id: 924773
{'charpoly_factorization': [[[331776, 0, 82944, 0, 20160, 0, 144, 0, 1], 1]], 'hecke_orbit_code': 13511486110433742, 'p': 89}
-
id: 924774
{'charpoly_factorization': [[[9, 0, 102, 0, 1], 2]], 'hecke_orbit_code': 13511486110433742, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 4, 'label': '462.2.k.d', 'level': 462, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 143833000
{'hecke_orbit_code': 13511486110433742, 'n': 1, 'trace_an': 8}
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id: 143833001
{'hecke_orbit_code': 13511486110433742, 'n': 2, 'trace_an': 0}
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