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mf_newforms • Show schema
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{'Nk2': 6080, 'analytic_conductor': 12.137261107234618, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [1520, 3, [191, 1141, 1217, 401], [3, 3, 3, 1]], 'cm_discs': [], 'conrey_index': 881, 'conrey_indexes': [881, 961], 'dim': 8, 'field_disc': 4601315889, 'field_disc_factorization': [[3, 4], [7537, 2]], 'field_poly': [9, 12, 31, -14, 26, -3, 6, -1, 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': [[3, [36, -6, 37, -6, 31, -4, 7, 1, 1]], [7, [12, -23, -15, 2, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45037095818888688, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 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mf_hecke_cc • Show schema
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11, 'hecke_orbit_code': 45037095818888688, 'label': '1520.2.q.k.961.3', 'level': 1520, 'weight': 2}
-
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{'Nk2': 6080, 'analytic_conductor': 12.137261107234618, 'char_conductor': 19, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [1520, 3, [191, 1141, 1217, 401], [3, 3, 3, 1]], 'conrey_index': 881, 'cusp_dim': 456, 'dim': 80, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 1099545183728, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 6, 6, 8, 8, 8, 8, 8, 10], 'label': '1520.2.q', 'level': 1520, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 19], 'level_radical': 190, 'mf_dim': 504, 'mf_new_dim': 80, 'num_forms': 16, 'prim_orbit_index': 3, 'relative_dim': 40, 'sturm_bound': 480, 'trace_bound': 7, 'trace_display': [0, -4, 0, -8], 'traces': [80, 0, -4, 0, 0, 0, -8, 0, -44, 0, 0, 0, 0, 0, 4, 0, 8, 0, 12, 0, 0, 0, 0, 0, -40, 0, 32, 0, 0, 0, -24, 0, -12, 0, 0, 0, 0, 0, -8, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 47246210
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 45037095818888688, 'source_is_minimal': False, 'source_label': '1520.2.q.k.961.3', 'source_level': 1520, 'target_conrey_index': 961, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 45037095818888688, 'target_is_minimal': False, 'target_label': '1520.2.q.k.961.3', 'target_level': 1520, 'twist_class_label': '760.2.q.f.121.2', 'twist_class_level': 760, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47246211
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 45037095818888688, 'source_is_minimal': False, 'source_label': '1520.2.q.k.961.3', 'source_level': 1520, 'target_conrey_index': 201, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22519097682035448, 'target_is_minimal': True, 'target_label': '760.2.q.f.201.2', 'target_level': 760, 'twist_class_label': '760.2.q.f.121.2', 'twist_class_level': 760, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47246212
{'conductor': 19, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 45037095818888688, 'source_is_minimal': False, 'source_label': '1520.2.q.k.961.3', 'source_level': 1520, 'target_conrey_index': 881, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 45037095818888688, 'target_is_minimal': False, 'target_label': '1520.2.q.k.881.3', 'target_level': 1520, 'twist_class_label': '760.2.q.f.121.2', 'twist_class_level': 760, 'twisting_char_label': '19.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47246213
{'conductor': 76, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 45037095818888688, 'source_is_minimal': False, 'source_label': '1520.2.q.k.961.3', 'source_level': 1520, 'target_conrey_index': 121, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22519097682035448, 'target_is_minimal': True, 'target_label': '760.2.q.f.121.2', 'target_level': 760, 'twist_class_label': '760.2.q.f.121.2', 'twist_class_level': 760, 'twisting_char_label': '76.7', 'twisting_conrey_index': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2008175
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 45037095818888688, 'p': 2}
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id: 2008176
{'charpoly_factorization': [[[36, -6, 37, -6, 31, -4, 7, 1, 1], 1]], 'hecke_orbit_code': 45037095818888688, 'p': 3}
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id: 2008177
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 45037095818888688, 'p': 5}
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id: 2008178
{'charpoly_factorization': [[[12, -23, -15, 2, 1], 2]], 'hecke_orbit_code': 45037095818888688, 'p': 7}
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id: 2008179
{'charpoly_factorization': [[[27, 9, -15, -4, 1], 2]], 'hecke_orbit_code': 45037095818888688, 'p': 11}
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id: 2008180
{'charpoly_factorization': [[[144, -84, 205, 115, 150, 27, 14, -1, 1], 1]], 'hecke_orbit_code': 45037095818888688, 'p': 13}
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id: 2008181
{'charpoly_factorization': [[[1296, -2628, 3529, -2714, 1515, -504, 119, -13, 1], 1]], 'hecke_orbit_code': 45037095818888688, 'p': 17}
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id: 2008182
{'charpoly_factorization': [[[130321, 6859, 6859, -2869, -169, -151, 19, 1, 1], 1]], 'hecke_orbit_code': 45037095818888688, 'p': 19}
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id: 2008183
{'charpoly_factorization': [[[27556, 65238, 146315, 21913, 5711, 394, 113, 8, 1], 1]], 'hecke_orbit_code': 45037095818888688, 'p': 23}
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id: 2008184
{'charpoly_factorization': [[[7921, 9790, 9341, 3944, 1380, 127, 40, 3, 1], 1]], 'hecke_orbit_code': 45037095818888688, 'p': 29}
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id: 2008185
{'charpoly_factorization': [[[-69, 97, -39, 2, 1], 2]], 'hecke_orbit_code': 45037095818888688, 'p': 31}
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id: 2008186
{'charpoly_factorization': [[[-346, 437, -35, -10, 1], 2]], 'hecke_orbit_code': 45037095818888688, 'p': 37}
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id: 2008187
{'charpoly_factorization': [[[27556, 14110, 8055, 2231, 871, 210, 59, 8, 1], 1]], 'hecke_orbit_code': 45037095818888688, 'p': 41}
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id: 2008188
{'charpoly_factorization': [[[1444, -1406, 3497, 2300, 2987, 242, 65, -3, 1], 1]], 'hecke_orbit_code': 45037095818888688, 'p': 43}
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id: 2008189
{'charpoly_factorization': [[[1024, -2400, 6425, 1235, 1343, -100, 125, 10, 1], 1]], 'hecke_orbit_code': 45037095818888688, 'p': 47}
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id: 2008190
{'charpoly_factorization': [[[381924, 359058, 311605, 37998, 8773, 700, 163, 11, 1], 1]], 'hecke_orbit_code': 45037095818888688, 'p': 53}
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id: 2008191
{'charpoly_factorization': [[[410881, 288450, 148015, 39532, 8316, 815, 86, 1, 1], 1]], 'hecke_orbit_code': 45037095818888688, 'p': 59}
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id: 2008192
{'charpoly_factorization': [[[961, 6200, 37706, 14800, 5507, 400, 74, 0, 1], 1]], 'hecke_orbit_code': 45037095818888688, 'p': 61}
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id: 2008193
{'charpoly_factorization': [[[1024, 1280, 1728, 352, 304, -48, 68, -8, 1], 1]], 'hecke_orbit_code': 45037095818888688, 'p': 67}
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id: 2008194
{'charpoly_factorization': [[[5958481, 1755079, 895316, -91917, 24460, -818, 171, -4, 1], 1]], 'hecke_orbit_code': 45037095818888688, 'p': 71}
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id: 2008195
{'charpoly_factorization': [[[68644, -28034, 39483, 21929, 9571, 1926, 293, 20, 1], 1]], 'hecke_orbit_code': 45037095818888688, 'p': 73}
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id: 2008196
{'charpoly_factorization': [[[20720704, -455200, 792944, 44512, 24732, 716, 181, -3, 1], 1]], 'hecke_orbit_code': 45037095818888688, 'p': 79}
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id: 2008197
{'charpoly_factorization': [[[-3634, 1423, -56, -15, 1], 2]], 'hecke_orbit_code': 45037095818888688, 'p': 83}
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id: 2008198
{'charpoly_factorization': [[[76457536, 14305184, 3918144, 64984, 39232, -858, 431, -17, 1], 1]], 'hecke_orbit_code': 45037095818888688, 'p': 89}
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id: 2008199
{'charpoly_factorization': [[[68644, -175278, 432365, -44566, 10985, -700, 179, -11, 1], 1]], 'hecke_orbit_code': 45037095818888688, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 17, 'hecke_orbit': 11, 'label': '1520.2.q.k', 'level': 1520, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 215478000
{'hecke_orbit_code': 45037095818888688, 'n': 1, 'trace_an': 8}
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id: 215478001
{'hecke_orbit_code': 45037095818888688, 'n': 2, 'trace_an': 0}
-
id: 215478002
{'hecke_orbit_code': 45037095818888688, 'n': 3, 'trace_an': -1}
-
id: 215478003
{'hecke_orbit_code': 45037095818888688, 'n': 4, 'trace_an': 0}
-
id: 215478004
{'hecke_orbit_code': 45037095818888688, 'n': 5, 'trace_an': -4}
-
id: 215478005
{'hecke_orbit_code': 45037095818888688, 'n': 6, 'trace_an': 0}
-
id: 215478006
{'hecke_orbit_code': 45037095818888688, 'n': 7, 'trace_an': -4}
-
id: 215478007
{'hecke_orbit_code': 45037095818888688, 'n': 8, 'trace_an': 0}
-
id: 215478008
{'hecke_orbit_code': 45037095818888688, 'n': 9, 'trace_an': -1}
-
id: 215478009
{'hecke_orbit_code': 45037095818888688, 'n': 10, 'trace_an': 0}
-
id: 215478010
{'hecke_orbit_code': 45037095818888688, 'n': 11, 'trace_an': 8}
-
id: 215478011
{'hecke_orbit_code': 45037095818888688, 'n': 12, 'trace_an': 0}
-
id: 215478012
{'hecke_orbit_code': 45037095818888688, 'n': 13, 'trace_an': 1}
-
id: 215478013
{'hecke_orbit_code': 45037095818888688, 'n': 14, 'trace_an': 0}
-
id: 215478014
{'hecke_orbit_code': 45037095818888688, 'n': 15, 'trace_an': -1}
-
id: 215478015
{'hecke_orbit_code': 45037095818888688, 'n': 16, 'trace_an': 0}
-
id: 215478016
{'hecke_orbit_code': 45037095818888688, 'n': 17, 'trace_an': 13}
-
id: 215478017
{'hecke_orbit_code': 45037095818888688, 'n': 18, 'trace_an': 0}
-
id: 215478018
{'hecke_orbit_code': 45037095818888688, 'n': 19, 'trace_an': -1}
-
id: 215478019
{'hecke_orbit_code': 45037095818888688, 'n': 20, 'trace_an': 0}
-
id: 215478020
{'hecke_orbit_code': 45037095818888688, 'n': 21, 'trace_an': 12}
-
id: 215478021
{'hecke_orbit_code': 45037095818888688, 'n': 22, 'trace_an': 0}
-
id: 215478022
{'hecke_orbit_code': 45037095818888688, 'n': 23, 'trace_an': -8}
-
id: 215478023
{'hecke_orbit_code': 45037095818888688, 'n': 24, 'trace_an': 0}
-
id: 215478024
{'hecke_orbit_code': 45037095818888688, 'n': 25, 'trace_an': -4}
-
id: 215478025
{'hecke_orbit_code': 45037095818888688, 'n': 26, 'trace_an': 0}
-
id: 215478026
{'hecke_orbit_code': 45037095818888688, 'n': 27, 'trace_an': 20}
-
id: 215478027
{'hecke_orbit_code': 45037095818888688, 'n': 28, 'trace_an': 0}
-
id: 215478028
{'hecke_orbit_code': 45037095818888688, 'n': 29, 'trace_an': -3}
-
id: 215478029
{'hecke_orbit_code': 45037095818888688, 'n': 30, 'trace_an': 0}
-
id: 215478030
{'hecke_orbit_code': 45037095818888688, 'n': 31, 'trace_an': -4}
-
id: 215478031
{'hecke_orbit_code': 45037095818888688, 'n': 32, 'trace_an': 0}
-
id: 215478032
{'hecke_orbit_code': 45037095818888688, 'n': 33, 'trace_an': -15}
-
id: 215478033
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