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mf_newforms • Show schema
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{'Nk2': 15552, 'analytic_conductor': 47.084589681459306, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 4, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': -1, 'char_values': [1728, 2, [703, 325, 1217], [1, 2, 2]], 'cm_discs': [], 'conrey_index': 703, 'conrey_indexes': [703], 'dim': 8, 'field_disc': 22581504, 'field_disc_factorization': [[2, 8], [3, 6], [11, 2]], 'field_poly': [16, -32, 20, 4, -11, 2, 5, -4, 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': [[5, [229, 28, -54, 4, 1]], [7, [52441, 0, 51220, 0, 7758, 0, 196, 0, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45036408640898752, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 1327104, 'hecke_ring_index_factorization': [[2, 14], [3, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 15552, 'analytic_conductor': 47.084589681459306, 'char_conductor': 4, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': -1, 'char_values': [1728, 2, [703, 325, 1217], [1, 2, 2]], 'conrey_index': 703, 'cusp_dim': 540, 'dim': 64, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 412367193792, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 4, 4, 8, 8, 8, 8, 8], 'label': '1728.3.g', 'level': 1728, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 612, 'mf_new_dim': 64, 'num_forms': 14, 'prim_orbit_index': 2, 'relative_dim': 64, 'sturm_bound': 864, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -448, 0, 0, 0, 0, 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mf_twists_cc • Show schema
Hide schema
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id: 47206388
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 703, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 45036408640898752, 'source_is_minimal': False, 'source_label': '1728.3.g.k.703.5', 'source_level': 1728, 'target_conrey_index': 703, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 45036408640898752, 'target_is_minimal': False, 'target_label': '1728.3.g.k.703.5', 'target_level': 1728, 'twist_class_label': '864.3.g.a.703.5', 'twist_class_level': 864, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 47206389
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 703, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 45036408640898752, 'source_is_minimal': False, 'source_label': '1728.3.g.k.703.5', 'source_level': 1728, 'target_conrey_index': 703, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 58547207523010240, 'target_is_minimal': False, 'target_label': '1728.3.g.n.703.3', 'target_level': 1728, 'twist_class_label': '864.3.g.a.703.5', 'twist_class_level': 864, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 47206390
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 703, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 45036408640898752, 'source_is_minimal': False, 'source_label': '1728.3.g.k.703.5', 'source_level': 1728, 'target_conrey_index': 703, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 45036408640898752, 'target_is_minimal': False, 'target_label': '1728.3.g.k.703.6', 'target_level': 1728, 'twist_class_label': '864.3.g.a.703.5', 'twist_class_level': 864, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 47206391
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 703, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 45036408640898752, 'source_is_minimal': False, 'source_label': '1728.3.g.k.703.5', 'source_level': 1728, 'target_conrey_index': 703, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007611621933920, 'target_is_minimal': True, 'target_label': '864.3.g.c.703.4', 'target_level': 864, 'twist_class_label': '864.3.g.a.703.5', 'twist_class_level': 864, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 47206392
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 703, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 45036408640898752, 'source_is_minimal': False, 'source_label': '1728.3.g.k.703.5', 'source_level': 1728, 'target_conrey_index': 703, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007611621933920, 'target_is_minimal': True, 'target_label': '864.3.g.c.703.3', 'target_level': 864, 'twist_class_label': '864.3.g.a.703.5', 'twist_class_level': 864, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 47206393
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 703, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 45036408640898752, 'source_is_minimal': False, 'source_label': '1728.3.g.k.703.5', 'source_level': 1728, 'target_conrey_index': 703, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 58547207523010240, 'target_is_minimal': False, 'target_label': '1728.3.g.n.703.4', 'target_level': 1728, 'twist_class_label': '864.3.g.a.703.5', 'twist_class_level': 864, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 47206394
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 703, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 45036408640898752, 'source_is_minimal': False, 'source_label': '1728.3.g.k.703.5', 'source_level': 1728, 'target_conrey_index': 703, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 412367192928, 'target_is_minimal': True, 'target_label': '864.3.g.a.703.5', 'target_level': 864, 'twist_class_label': '864.3.g.a.703.5', 'twist_class_level': 864, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 47206395
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 703, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 45036408640898752, 'source_is_minimal': False, 'source_label': '1728.3.g.k.703.5', 'source_level': 1728, 'target_conrey_index': 703, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 412367192928, 'target_is_minimal': True, 'target_label': '864.3.g.a.703.6', 'target_level': 864, 'twist_class_label': '864.3.g.a.703.5', 'twist_class_level': 864, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 2162775
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 45036408640898752, 'p': 2}
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id: 2162776
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 45036408640898752, 'p': 3}
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id: 2162777
{'charpoly_factorization': [[[229, 28, -54, 4, 1], 2]], 'hecke_orbit_code': 45036408640898752, 'p': 5}
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id: 2162778
{'charpoly_factorization': [[[52441, 0, 51220, 0, 7758, 0, 196, 0, 1], 1]], 'hecke_orbit_code': 45036408640898752, 'p': 7}
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id: 2162779
{'charpoly_factorization': [[[269517889, 0, 10915804, 0, 128646, 0, 604, 0, 1], 1]], 'hecke_orbit_code': 45036408640898752, 'p': 11}
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id: 2162780
{'charpoly_factorization': [[[15616, 640, -288, -8, 1], 2]], 'hecke_orbit_code': 45036408640898752, 'p': 13}
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id: 2162781
{'charpoly_factorization': [[[9216, 2304, -96, -24, 1], 2]], 'hecke_orbit_code': 45036408640898752, 'p': 17}
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id: 2162782
{'charpoly_factorization': [[[20736, 0, 21406464, 0, 360288, 0, 1200, 0, 1], 1]], 'hecke_orbit_code': 45036408640898752, 'p': 19}
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id: 2162783
{'charpoly_factorization': [[[8962787584, 0, 226345216, 0, 1321440, 0, 2128, 0, 1], 1]], 'hecke_orbit_code': 45036408640898752, 'p': 23}
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id: 2162784
{'charpoly_factorization': [[[-2288, -3520, -648, -16, 1], 2]], 'hecke_orbit_code': 45036408640898752, 'p': 29}
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id: 2162785
{'charpoly_factorization': [[[116920969, 0, 336709252, 0, 2448990, 0, 3220, 0, 1], 1]], 'hecke_orbit_code': 45036408640898752, 'p': 31}
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id: 2162786
{'charpoly_factorization': [[[-354096, 141696, -3480, -48, 1], 2]], 'hecke_orbit_code': 45036408640898752, 'p': 37}
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id: 2162787
{'charpoly_factorization': [[[-3217904, -210176, -2376, 64, 1], 2]], 'hecke_orbit_code': 45036408640898752, 'p': 41}
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id: 2162788
{'charpoly_factorization': [[[947180525824, 0, 5499073792, 0, 10796256, 0, 7696, 0, 1], 1]], 'hecke_orbit_code': 45036408640898752, 'p': 43}
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id: 2162789
{'charpoly_factorization': [[[1218851328256, 0, 8075107072, 0, 14046048, 0, 7216, 0, 1], 1]], 'hecke_orbit_code': 45036408640898752, 'p': 47}
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id: 2162790
{'charpoly_factorization': [[[-1618803, -160884, -1950, 84, 1], 2]], 'hecke_orbit_code': 45036408640898752, 'p': 53}
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id: 2162791
{'charpoly_factorization': [[[157628225880064, 0, 205601259520, 0, 90570240, 0, 16192, 0, 1], 1]], 'hecke_orbit_code': 45036408640898752, 'p': 59}
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id: 2162792
{'charpoly_factorization': [[[3739648, -214016, -11136, 16, 1], 2]], 'hecke_orbit_code': 45036408640898752, 'p': 61}
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id: 2162793
{'charpoly_factorization': [[[54344260884736, 0, 176752739584, 0, 155238624, 0, 23824, 0, 1], 1]], 'hecke_orbit_code': 45036408640898752, 'p': 67}
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id: 2162794
{'charpoly_factorization': [[[55832696848384, 0, 136984133632, 0, 78314496, 0, 15616, 0, 1], 1]], 'hecke_orbit_code': 45036408640898752, 'p': 71}
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id: 2162795
{'charpoly_factorization': [[[-7709463, 565668, -10626, -12, 1], 2]], 'hecke_orbit_code': 45036408640898752, 'p': 73}
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id: 2162796
{'charpoly_factorization': [[[1961154847965184, 0, 1300560609280, 0, 304364544, 0, 29440, 0, 1], 1]], 'hecke_orbit_code': 45036408640898752, 'p': 79}
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id: 2162797
{'charpoly_factorization': [[[122448233690689, 0, 1704865636828, 0, 428492934, 0, 35932, 0, 1], 1]], 'hecke_orbit_code': 45036408640898752, 'p': 83}
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id: 2162798
{'charpoly_factorization': [[[-3170736, 504288, 21288, -312, 1], 2]], 'hecke_orbit_code': 45036408640898752, 'p': 89}
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id: 2162799
{'charpoly_factorization': [[[-19173311, -1113916, -12090, 68, 1], 2]], 'hecke_orbit_code': 45036408640898752, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 11, 'label': '1728.3.g.k', 'level': 1728, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 215188000
{'hecke_orbit_code': 45036408640898752, 'n': 1, 'trace_an': 8}
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id: 215188001
{'hecke_orbit_code': 45036408640898752, 'n': 2, 'trace_an': 0}
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id: 215188002
{'hecke_orbit_code': 45036408640898752, 'n': 3, 'trace_an': 0}
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id: 215188003
{'hecke_orbit_code': 45036408640898752, 'n': 4, 'trace_an': 0}
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id: 215188004
{'hecke_orbit_code': 45036408640898752, 'n': 5, 'trace_an': -8}
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id: 215188005
{'hecke_orbit_code': 45036408640898752, 'n': 6, 'trace_an': 0}
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id: 215188006
{'hecke_orbit_code': 45036408640898752, 'n': 7, 'trace_an': 0}
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id: 215188007
{'hecke_orbit_code': 45036408640898752, 'n': 8, 'trace_an': 0}
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id: 215188008
{'hecke_orbit_code': 45036408640898752, 'n': 9, 'trace_an': 0}
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id: 215188009
{'hecke_orbit_code': 45036408640898752, 'n': 10, 'trace_an': 0}
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id: 215188010
{'hecke_orbit_code': 45036408640898752, 'n': 11, 'trace_an': 0}
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id: 215188011
{'hecke_orbit_code': 45036408640898752, 'n': 12, 'trace_an': 0}
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id: 215188012
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