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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': 1500534351369, 'field_disc_factorization': [[3, 10], [71, 4]], 'field_poly': [144, 180, 369, -156, 147, -18, 13, -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, [144, 180, 369, -156, 147, -18, 13, -1, 1]], [7, [15, 8, -9, -3, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58547894701000176, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 19, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1520.2.q.n', '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, 'minimal_twist': '760.2.q.d', 'nf_label': '8.0.1500534351369.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{1}q^{3}-\\beta _{4}q^{5}+(1-\\beta _{3})q^{7}+(-4+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1520.2.q', 'trace_display': [0, 1, -4, 6], 'trace_hash': 808297407448251702, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.075', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.053', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.634', 'prec': 17}, 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mf_hecke_cc • Show schema
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-
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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: 47756994
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58547894701000176, 'source_is_minimal': False, 'source_label': '1520.2.q.n.961.1', 'source_level': 1520, 'target_conrey_index': 961, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547894701000176, 'target_is_minimal': False, 'target_label': '1520.2.q.n.961.1', 'target_level': 1520, 'twist_class_label': '760.2.q.d.121.4', 'twist_class_level': 760, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47756995
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58547894701000176, 'source_is_minimal': False, 'source_label': '1520.2.q.n.961.1', 'source_level': 1520, 'target_conrey_index': 201, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511898427294456, 'target_is_minimal': True, 'target_label': '760.2.q.d.201.4', 'target_level': 760, 'twist_class_label': '760.2.q.d.121.4', 'twist_class_level': 760, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47756996
{'conductor': 19, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58547894701000176, 'source_is_minimal': False, 'source_label': '1520.2.q.n.961.1', 'source_level': 1520, 'target_conrey_index': 881, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547894701000176, 'target_is_minimal': False, 'target_label': '1520.2.q.n.881.1', 'target_level': 1520, 'twist_class_label': '760.2.q.d.121.4', 'twist_class_level': 760, 'twisting_char_label': '19.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47756997
{'conductor': 76, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58547894701000176, 'source_is_minimal': False, 'source_label': '1520.2.q.n.961.1', 'source_level': 1520, 'target_conrey_index': 121, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511898427294456, 'target_is_minimal': True, 'target_label': '760.2.q.d.121.4', 'target_level': 760, 'twist_class_label': '760.2.q.d.121.4', '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: 2008300
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 58547894701000176, 'p': 2}
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id: 2008301
{'charpoly_factorization': [[[144, 180, 369, -156, 147, -18, 13, -1, 1], 1]], 'hecke_orbit_code': 58547894701000176, 'p': 3}
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id: 2008302
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 58547894701000176, 'p': 5}
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id: 2008303
{'charpoly_factorization': [[[15, 8, -9, -3, 1], 2]], 'hecke_orbit_code': 58547894701000176, 'p': 7}
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id: 2008304
{'charpoly_factorization': [[[-97, 133, -27, -4, 1], 2]], 'hecke_orbit_code': 58547894701000176, 'p': 11}
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id: 2008305
{'charpoly_factorization': [[[68644, 1834, 10267, -797, 1252, -53, 40, 1, 1], 1]], 'hecke_orbit_code': 58547894701000176, 'p': 13}
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id: 2008306
{'charpoly_factorization': [[[64, -776, 9553, 1634, 995, 68, 67, 7, 1], 1]], 'hecke_orbit_code': 58547894701000176, 'p': 17}
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id: 2008307
{'charpoly_factorization': [[[130321, -130321, 71839, -26657, 7127, -1403, 199, -19, 1], 1]], 'hecke_orbit_code': 58547894701000176, 'p': 19}
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id: 2008308
{'charpoly_factorization': [[[841, 2668, 9247, -2194, 1160, -49, 52, -5, 1], 1]], 'hecke_orbit_code': 58547894701000176, 'p': 23}
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id: 2008309
{'charpoly_factorization': [[[36, -426, 5239, 2343, 1083, 142, 33, 0, 1], 1]], 'hecke_orbit_code': 58547894701000176, 'p': 29}
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id: 2008310
{'charpoly_factorization': [[[160, 109, -48, -5, 1], 2]], 'hecke_orbit_code': 58547894701000176, 'p': 31}
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id: 2008311
{'charpoly_factorization': [[[3, -24, 33, -11, 1], 2]], 'hecke_orbit_code': 58547894701000176, 'p': 37}
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id: 2008312
{'charpoly_factorization': [[[1089, -1584, 3987, 3306, 2010, 567, 118, 13, 1], 1]], 'hecke_orbit_code': 58547894701000176, 'p': 41}
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id: 2008313
{'charpoly_factorization': [[[357604, 78338, 45865, 2084, 2623, 74, 97, -7, 1], 1]], 'hecke_orbit_code': 58547894701000176, 'p': 43}
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id: 2008314
{'charpoly_factorization': [[[379456, 121352, 73921, 1091, 4603, 176, 157, -10, 1], 1]], 'hecke_orbit_code': 58547894701000176, 'p': 47}
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id: 2008315
{'charpoly_factorization': [[[793881, -569349, 304074, -74763, 14580, -1278, 117, 0, 1], 1]], 'hecke_orbit_code': 58547894701000176, 'p': 53}
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id: 2008316
{'charpoly_factorization': [[[1024, -928, 1129, -251, 281, -14, 73, 8, 1], 1]], 'hecke_orbit_code': 58547894701000176, 'p': 59}
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id: 2008317
{'charpoly_factorization': [[[38539264, 12434624, 3211177, 394963, 44882, 2587, 250, 11, 1], 1]], 'hecke_orbit_code': 58547894701000176, 'p': 61}
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id: 2008318
{'charpoly_factorization': [[[36192256, 8711168, 2168896, 223264, 35120, 3136, 388, 20, 1], 1]], 'hecke_orbit_code': 58547894701000176, 'p': 67}
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id: 2008319
{'charpoly_factorization': [[[381924, -53766, 66897, 2172, 9033, -306, 121, 5, 1], 1]], 'hecke_orbit_code': 58547894701000176, 'p': 71}
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id: 2008320
{'charpoly_factorization': [[[337750884, 36664110, 8776683, -79623, 73683, -858, 405, -12, 1], 1]], 'hecke_orbit_code': 58547894701000176, 'p': 73}
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id: 2008321
{'charpoly_factorization': [[[2304, 9216, 30528, 23232, 13152, 2520, 352, 22, 1], 1]], 'hecke_orbit_code': 58547894701000176, 'p': 79}
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id: 2008322
{'charpoly_factorization': [[[-3430, -1369, -96, 13, 1], 2]], 'hecke_orbit_code': 58547894701000176, 'p': 83}
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id: 2008323
{'charpoly_factorization': [[[20575296, -10614240, 4577472, -544968, 64800, -2898, 279, -9, 1], 1]], 'hecke_orbit_code': 58547894701000176, 'p': 89}
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id: 2008324
{'charpoly_factorization': [[[93354244, 39082790, 10390909, 1707526, 206417, 17248, 1063, 41, 1], 1]], 'hecke_orbit_code': 58547894701000176, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 17, 'hecke_orbit': 14, 'label': '1520.2.q.n', 'level': 1520, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 229972000
{'hecke_orbit_code': 58547894701000176, 'n': 1, 'trace_an': 8}
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id: 229972001
{'hecke_orbit_code': 58547894701000176, 'n': 2, 'trace_an': 0}
-
id: 229972002
{'hecke_orbit_code': 58547894701000176, 'n': 3, 'trace_an': 1}
-
id: 229972003
{'hecke_orbit_code': 58547894701000176, 'n': 4, 'trace_an': 0}
-
id: 229972004
{'hecke_orbit_code': 58547894701000176, 'n': 5, 'trace_an': -4}
-
id: 229972005
{'hecke_orbit_code': 58547894701000176, 'n': 6, 'trace_an': 0}
-
id: 229972006
{'hecke_orbit_code': 58547894701000176, 'n': 7, 'trace_an': 6}
-
id: 229972007
{'hecke_orbit_code': 58547894701000176, 'n': 8, 'trace_an': 0}
-
id: 229972008
{'hecke_orbit_code': 58547894701000176, 'n': 9, 'trace_an': -13}
-
id: 229972009
{'hecke_orbit_code': 58547894701000176, 'n': 10, 'trace_an': 0}
-
id: 229972010
{'hecke_orbit_code': 58547894701000176, 'n': 11, 'trace_an': 8}
-
id: 229972011
{'hecke_orbit_code': 58547894701000176, 'n': 12, 'trace_an': 0}
-
id: 229972012
{'hecke_orbit_code': 58547894701000176, 'n': 13, 'trace_an': -1}
-
id: 229972013
{'hecke_orbit_code': 58547894701000176, 'n': 14, 'trace_an': 0}
-
id: 229972014
{'hecke_orbit_code': 58547894701000176, 'n': 15, 'trace_an': 1}
-
id: 229972015
{'hecke_orbit_code': 58547894701000176, 'n': 16, 'trace_an': 0}
-
id: 229972016
{'hecke_orbit_code': 58547894701000176, 'n': 17, 'trace_an': -7}
-
id: 229972017
{'hecke_orbit_code': 58547894701000176, 'n': 18, 'trace_an': 0}
-
id: 229972018
{'hecke_orbit_code': 58547894701000176, 'n': 19, 'trace_an': 19}
-
id: 229972019
{'hecke_orbit_code': 58547894701000176, 'n': 20, 'trace_an': 0}
-
id: 229972020
{'hecke_orbit_code': 58547894701000176, 'n': 21, 'trace_an': -24}
-
id: 229972021
{'hecke_orbit_code': 58547894701000176, 'n': 22, 'trace_an': 0}
-
id: 229972022
{'hecke_orbit_code': 58547894701000176, 'n': 23, 'trace_an': 5}
-
id: 229972023
{'hecke_orbit_code': 58547894701000176, 'n': 24, 'trace_an': 0}
-
id: 229972024
{'hecke_orbit_code': 58547894701000176, 'n': 25, 'trace_an': -4}
-
id: 229972025
{'hecke_orbit_code': 58547894701000176, 'n': 26, 'trace_an': 0}
-
id: 229972026
{'hecke_orbit_code': 58547894701000176, 'n': 27, 'trace_an': 28}
-
id: 229972027
{'hecke_orbit_code': 58547894701000176, 'n': 28, 'trace_an': 0}
-
id: 229972028
{'hecke_orbit_code': 58547894701000176, 'n': 29, 'trace_an': 0}
-
id: 229972029
{'hecke_orbit_code': 58547894701000176, 'n': 30, 'trace_an': 0}
-
id: 229972030
{'hecke_orbit_code': 58547894701000176, 'n': 31, 'trace_an': 10}
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