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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': 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': [1728, 2, [703, 325, 1217], [1, 1, 2]], 'cm_discs': [], 'conrey_index': 1567, 'conrey_indexes': [1567], 'dim': 12, 'field_disc': 116304318664704, 'field_disc_factorization': [[2, 12], [3, 6], [79, 4]], 'field_poly': [64, -64, 16, 48, -36, -4, 18, -2, -9, 6, 1, -2, 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, [7803, 0, 1719, 0, 93, 0, 1]], [7, [24649, 0, 4911, 0, 135, 0, 1]], [11, [-121203, 0, 23211, 0, -417, 0, 1]], [17, [-6912, -540, 12, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028865788774080, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 3057647616, 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mf_hecke_cc • Show schema
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{'Nk2': 15552, 'analytic_conductor': 47.084589681459306, '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': [1728, 2, [703, 325, 1217], [1, 1, 2]], 'conrey_index': 1567, 'cusp_dim': 540, 'dim': 64, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 17], 'hecke_orbit_code': 68769810112, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 8, 8, 12, 12], 'label': '1728.3.b', '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': 10, 'prim_orbit_index': 4, 'relative_dim': 64, 'sturm_bound': 864, 'trace_bound': 49, 'trace_display': [0, 0, 0, 0], 'traces': [64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 46599919
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1567, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 36028865788774080, 'source_is_minimal': True, 'source_label': '1728.3.b.i.1567.8', 'source_level': 1728, 'target_conrey_index': 1567, 'target_dim': 12, 'target_embedding_index': 8, 'target_hecke_orbit_code': 36028865788774080, 'target_is_minimal': True, 'target_label': '1728.3.b.i.1567.8', 'target_level': 1728, 'twist_class_label': '1728.3.b.i.1567.5', 'twist_class_level': 1728, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 46599920
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1567, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 36028865788774080, 'source_is_minimal': True, 'source_label': '1728.3.b.i.1567.8', 'source_level': 1728, 'target_conrey_index': 1567, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 40532465416144576, 'target_is_minimal': True, 'target_label': '1728.3.b.j.1567.6', 'target_level': 1728, 'twist_class_label': '1728.3.b.i.1567.5', 'twist_class_level': 1728, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 46599921
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1567, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 36028865788774080, 'source_is_minimal': True, 'source_label': '1728.3.b.i.1567.8', 'source_level': 1728, 'target_conrey_index': 1567, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 36028865788774080, 'target_is_minimal': True, 'target_label': '1728.3.b.i.1567.7', 'target_level': 1728, 'twist_class_label': '1728.3.b.i.1567.5', 'twist_class_level': 1728, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 46599922
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1567, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 36028865788774080, 'source_is_minimal': True, 'source_label': '1728.3.b.i.1567.8', 'source_level': 1728, 'target_conrey_index': 1567, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 36028865788774080, 'target_is_minimal': True, 'target_label': '1728.3.b.i.1567.5', 'target_level': 1728, 'twist_class_label': '1728.3.b.i.1567.5', 'twist_class_level': 1728, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 46599923
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1567, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 36028865788774080, 'source_is_minimal': True, 'source_label': '1728.3.b.i.1567.8', 'source_level': 1728, 'target_conrey_index': 1567, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 36028865788774080, 'target_is_minimal': True, 'target_label': '1728.3.b.i.1567.6', 'target_level': 1728, 'twist_class_label': '1728.3.b.i.1567.5', 'twist_class_level': 1728, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 46599924
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1567, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 36028865788774080, 'source_is_minimal': True, 'source_label': '1728.3.b.i.1567.8', 'source_level': 1728, 'target_conrey_index': 1567, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 40532465416144576, 'target_is_minimal': True, 'target_label': '1728.3.b.j.1567.5', 'target_level': 1728, 'twist_class_label': '1728.3.b.i.1567.5', 'twist_class_level': 1728, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 46599925
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1567, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 36028865788774080, 'source_is_minimal': True, 'source_label': '1728.3.b.i.1567.8', 'source_level': 1728, 'target_conrey_index': 1567, 'target_dim': 12, 'target_embedding_index': 8, 'target_hecke_orbit_code': 40532465416144576, 'target_is_minimal': True, 'target_label': '1728.3.b.j.1567.8', 'target_level': 1728, 'twist_class_label': '1728.3.b.i.1567.5', 'twist_class_level': 1728, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 46599926
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1567, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 36028865788774080, 'source_is_minimal': True, 'source_label': '1728.3.b.i.1567.8', 'source_level': 1728, 'target_conrey_index': 1567, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 40532465416144576, 'target_is_minimal': True, 'target_label': '1728.3.b.j.1567.7', 'target_level': 1728, 'twist_class_label': '1728.3.b.i.1567.5', 'twist_class_level': 1728, '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: 2161875
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 36028865788774080, 'p': 2}
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id: 2161876
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 36028865788774080, 'p': 3}
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id: 2161877
{'charpoly_factorization': [[[7803, 0, 1719, 0, 93, 0, 1], 2]], 'hecke_orbit_code': 36028865788774080, 'p': 5}
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id: 2161878
{'charpoly_factorization': [[[24649, 0, 4911, 0, 135, 0, 1], 2]], 'hecke_orbit_code': 36028865788774080, 'p': 7}
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id: 2161879
{'charpoly_factorization': [[[-121203, 0, 23211, 0, -417, 0, 1], 2]], 'hecke_orbit_code': 36028865788774080, 'p': 11}
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id: 2161880
{'charpoly_factorization': [[[442368, 0, 219024, 0, 936, 0, 1], 2]], 'hecke_orbit_code': 36028865788774080, 'p': 13}
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id: 2161881
{'charpoly_factorization': [[[-6912, -540, 12, 1], 4]], 'hecke_orbit_code': 36028865788774080, 'p': 17}
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id: 2161882
{'charpoly_factorization': [[[-51121152, 0, 671760, 0, -1656, 0, 1], 2]], 'hecke_orbit_code': 36028865788774080, 'p': 19}
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id: 2161883
{'charpoly_factorization': [[[394896384, 0, 1919376, 0, 2520, 0, 1], 2]], 'hecke_orbit_code': 36028865788774080, 'p': 23}
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id: 2161884
{'charpoly_factorization': [[[20155392, 0, 384912, 0, 1512, 0, 1], 2]], 'hecke_orbit_code': 36028865788774080, 'p': 29}
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id: 2161885
{'charpoly_factorization': [[[262018969, 0, 2857839, 0, 3447, 0, 1], 2]], 'hecke_orbit_code': 36028865788774080, 'p': 31}
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id: 2161886
{'charpoly_factorization': [[[2674142208, 0, 6906384, 0, 5256, 0, 1], 2]], 'hecke_orbit_code': 36028865788774080, 'p': 37}
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id: 2161887
{'charpoly_factorization': [[[-113184, -972, 84, 1], 4]], 'hecke_orbit_code': 36028865788774080, 'p': 41}
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id: 2161888
{'charpoly_factorization': [[[-322486272, 0, 3172608, 0, -4320, 0, 1], 2]], 'hecke_orbit_code': 36028865788774080, 'p': 43}
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id: 2161889
{'charpoly_factorization': [[[5780865024, 0, 15344640, 0, 7488, 0, 1], 2]], 'hecke_orbit_code': 36028865788774080, 'p': 47}
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id: 2161890
{'charpoly_factorization': [[[8741547, 0, 294615, 0, 1101, 0, 1], 2]], 'hecke_orbit_code': 36028865788774080, 'p': 53}
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id: 2161891
{'charpoly_factorization': [[[-5159780352, 0, 22581504, 0, -11232, 0, 1], 2]], 'hecke_orbit_code': 36028865788774080, 'p': 59}
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id: 2161892
{'charpoly_factorization': [[[768, 0, 1], 6]], 'hecke_orbit_code': 36028865788774080, 'p': 61}
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id: 2161893
{'charpoly_factorization': [[[-936050688, 0, 10036224, 0, -6336, 0, 1], 2]], 'hecke_orbit_code': 36028865788774080, 'p': 67}
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id: 2161894
{'charpoly_factorization': [[[4087812096, 0, 76911120, 0, 22392, 0, 1], 2]], 'hecke_orbit_code': 36028865788774080, 'p': 71}
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id: 2161895
{'charpoly_factorization': [[[-120721, -5409, -15, 1], 4]], 'hecke_orbit_code': 36028865788774080, 'p': 73}
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id: 2161896
{'charpoly_factorization': [[[1846936576, 0, 14058624, 0, 8868, 0, 1], 2]], 'hecke_orbit_code': 36028865788774080, 'p': 79}
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id: 2161897
{'charpoly_factorization': [[[-11178011043, 0, 99655371, 0, -30801, 0, 1], 2]], 'hecke_orbit_code': 36028865788774080, 'p': 83}
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id: 2161898
{'charpoly_factorization': [[[680832, 28944, 312, 1], 4]], 'hecke_orbit_code': 36028865788774080, 'p': 89}
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id: 2161899
{'charpoly_factorization': [[[-1211279, -22365, 51, 1], 4]], 'hecke_orbit_code': 36028865788774080, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 9, 'label': '1728.3.b.i', 'level': 1728, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 201245000
{'hecke_orbit_code': 36028865788774080, 'n': 1, 'trace_an': 12}
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id: 201245001
{'hecke_orbit_code': 36028865788774080, 'n': 2, 'trace_an': 0}
-
id: 201245002
{'hecke_orbit_code': 36028865788774080, 'n': 3, 'trace_an': 0}
-
id: 201245003
{'hecke_orbit_code': 36028865788774080, 'n': 4, 'trace_an': 0}
-
id: 201245004
{'hecke_orbit_code': 36028865788774080, 'n': 5, 'trace_an': 0}
-
id: 201245005
{'hecke_orbit_code': 36028865788774080, 'n': 6, 'trace_an': 0}
-
id: 201245006
{'hecke_orbit_code': 36028865788774080, 'n': 7, 'trace_an': 0}
-
id: 201245007
{'hecke_orbit_code': 36028865788774080, 'n': 8, 'trace_an': 0}
-
id: 201245008
{'hecke_orbit_code': 36028865788774080, 'n': 9, 'trace_an': 0}
-
id: 201245009
{'hecke_orbit_code': 36028865788774080, 'n': 10, 'trace_an': 0}
-
id: 201245010
{'hecke_orbit_code': 36028865788774080, 'n': 11, 'trace_an': 0}
-
id: 201245011
{'hecke_orbit_code': 36028865788774080, 'n': 12, 'trace_an': 0}
-
id: 201245012
{'hecke_orbit_code': 36028865788774080, 'n': 13, 'trace_an': 0}
-
id: 201245013
{'hecke_orbit_code': 36028865788774080, 'n': 14, 'trace_an': 0}
-
id: 201245014
{'hecke_orbit_code': 36028865788774080, 'n': 15, 'trace_an': 0}
-
id: 201245015
{'hecke_orbit_code': 36028865788774080, 'n': 16, 'trace_an': 0}
-
id: 201245016
{'hecke_orbit_code': 36028865788774080, 'n': 17, 'trace_an': -48}
-
id: 201245017
{'hecke_orbit_code': 36028865788774080, 'n': 18, 'trace_an': 0}
-
id: 201245018
{'hecke_orbit_code': 36028865788774080, 'n': 19, 'trace_an': 0}
-
id: 201245019
{'hecke_orbit_code': 36028865788774080, 'n': 20, 'trace_an': 0}
-
id: 201245020
{'hecke_orbit_code': 36028865788774080, 'n': 21, 'trace_an': 0}
-
id: 201245021
{'hecke_orbit_code': 36028865788774080, 'n': 22, 'trace_an': 0}
-
id: 201245022
{'hecke_orbit_code': 36028865788774080, 'n': 23, 'trace_an': 0}
-
id: 201245023
{'hecke_orbit_code': 36028865788774080, 'n': 24, 'trace_an': 0}
-
id: 201245024
{'hecke_orbit_code': 36028865788774080, 'n': 25, 'trace_an': -72}
-
id: 201245025
{'hecke_orbit_code': 36028865788774080, 'n': 26, 'trace_an': 0}
-
id: 201245026
{'hecke_orbit_code': 36028865788774080, 'n': 27, 'trace_an': 0}
-
id: 201245027
{'hecke_orbit_code': 36028865788774080, 'n': 28, 'trace_an': 0}
-
id: 201245028
{'hecke_orbit_code': 36028865788774080, 'n': 29, 'trace_an': 0}
-
id: 201245029
{'hecke_orbit_code': 36028865788774080, 'n': 30, 'trace_an': 0}
-
id: 201245030
{'hecke_orbit_code': 36028865788774080, 'n': 31, 'trace_an': 0}
-
id: 201245031
{'hecke_orbit_code': 36028865788774080, 'n': 32, 'trace_an': 0}
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