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{'Nk2': 32016, 'analytic_conductor': 63.91226177783282, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [23, 1], [29, -1]], 'atkin_lehner_string': '-++-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8004, 1, [4003, 2669, 3133, 553], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 9, 'field_disc': 29626080641856, 'field_disc_factorization': [[2, 6], [3, 2], [51434167781, 1]], 'field_poly': [-11, 9, 58, -39, -79, 40, 32, -13, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-44, 116, 66, -314, 117, 117, -44, -19, 3, 1]], [7, [-180, -36, 418, 138, -245, -53, 65, 2, -7, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543044420, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '8004.2.a.e', 'level': 8004, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 23, 29], 'level_radical': 4002, 'minimal_twist': '8004.2.a.e', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+\\beta _{1}q^{5}+(1-\\beta _{3})q^{7}+q^{9}+(\\beta _{3}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 9, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8004.2.a', 'trace_display': [0, -9, -3, 7], 'trace_hash': 586283146004891531, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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{'AL_dims': [[[[2, -1], [3, -1], [23, -1], [29, -1]], 8, 1], [[[2, -1], [3, -1], [23, -1], [29, 1]], 16, 1], [[[2, -1], [3, -1], [23, 1], [29, -1]], 18, 1], [[[2, -1], [3, 1], [23, 1], [29, 1]], 14, 2], [[[2, -1], [3, 1], [23, -1], [29, -1]], 16, 1], [[[2, -1], [3, 1], [23, 1], [29, -1]], 10, 2], [[[2, -1], [3, 1], [23, -1], [29, 1]], 12, 1], [[[2, -1], [3, -1], [23, 1], [29, 1]], 10, 2]], 'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 14, 10, 12, 16, 10, 18, 16, 8], 'Nk2': 32016, 'analytic_conductor': 63.91226177783282, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8004, 1, [4003, 2669, 3133, 553], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1429, 'dim': 104, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 33562436, 'hecke_orbit_dims': [1, 1, 1, 8, 9, 9, 12, 13, 16, 16, 18], 'label': '8004.2.a', 'level': 8004, 'level_is_prime': False, 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mf_twists_cc • Show schema
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{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 7, 'source_hecke_orbit_code': 18014398543044420, 'source_is_minimal': True, 'source_label': '8004.2.a.e.1.7', 'source_level': 8004, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 7, 'target_hecke_orbit_code': 18014398543044420, 'target_is_minimal': True, 'target_label': '8004.2.a.e.1.7', 'target_level': 8004, 'twist_class_label': '8004.2.a.e.1.7', 'twist_class_level': 8004, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4633000
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 18014398543044420, 'p': 2}
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id: 4633001
{'charpoly_factorization': [[[1, 1], 9]], 'hecke_orbit_code': 18014398543044420, 'p': 3}
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id: 4633002
{'charpoly_factorization': [[[-44, 116, 66, -314, 117, 117, -44, -19, 3, 1], 1]], 'hecke_orbit_code': 18014398543044420, 'p': 5}
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id: 4633003
{'charpoly_factorization': [[[-180, -36, 418, 138, -245, -53, 65, 2, -7, 1], 1]], 'hecke_orbit_code': 18014398543044420, 'p': 7}
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id: 4633004
{'charpoly_factorization': [[[-496, 2768, -2876, -3252, 879, 738, -81, -50, 2, 1], 1]], 'hecke_orbit_code': 18014398543044420, 'p': 11}
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id: 4633005
{'charpoly_factorization': [[[11717, -3991, -9799, 1086, 2742, 126, -259, -30, 7, 1], 1]], 'hecke_orbit_code': 18014398543044420, 'p': 13}
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id: 4633006
{'charpoly_factorization': [[[107, 1235, 3855, 5125, 3129, 666, -115, -55, 0, 1], 1]], 'hecke_orbit_code': 18014398543044420, 'p': 17}
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id: 4633007
{'charpoly_factorization': [[[2047, 3651, -7106, -8782, 360, 1620, -38, -74, 1, 1], 1]], 'hecke_orbit_code': 18014398543044420, 'p': 19}
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id: 4633008
{'charpoly_factorization': [[[1, 1], 9]], 'hecke_orbit_code': 18014398543044420, 'p': 23}
-
id: 4633009
{'charpoly_factorization': [[[-1, 1], 9]], 'hecke_orbit_code': 18014398543044420, 'p': 29}
-
id: 4633010
{'charpoly_factorization': [[[333252, 677160, 227862, -83112, -28327, 5072, 887, -126, -8, 1], 1]], 'hecke_orbit_code': 18014398543044420, 'p': 31}
-
id: 4633011
{'charpoly_factorization': [[[236939, 17654, -103193, -10160, 13397, 1657, -603, -80, 8, 1], 1]], 'hecke_orbit_code': 18014398543044420, 'p': 37}
-
id: 4633012
{'charpoly_factorization': [[[-47916, 137244, 194794, 58442, -12795, -9313, -1344, 31, 19, 1], 1]], 'hecke_orbit_code': 18014398543044420, 'p': 41}
-
id: 4633013
{'charpoly_factorization': [[[-2401487, 3031193, 1931464, -795889, -25400, 24434, -232, -267, 3, 1], 1]], 'hecke_orbit_code': 18014398543044420, 'p': 43}
-
id: 4633014
{'charpoly_factorization': [[[-24692, 51072, 11386, -43380, 1481, 5176, -151, -145, 3, 1], 1]], 'hecke_orbit_code': 18014398543044420, 'p': 47}
-
id: 4633015
{'charpoly_factorization': [[[3308752, 4727792, 2570424, 594496, 14717, -19079, -3156, -79, 17, 1], 1]], 'hecke_orbit_code': 18014398543044420, 'p': 53}
-
id: 4633016
{'charpoly_factorization': [[[1772000, 414448, -428480, -62852, 33402, 3755, -1016, -104, 10, 1], 1]], 'hecke_orbit_code': 18014398543044420, 'p': 59}
-
id: 4633017
{'charpoly_factorization': [[[576, 7488, 21424, -18480, -3467, 3253, 207, -134, -1, 1], 1]], 'hecke_orbit_code': 18014398543044420, 'p': 61}
-
id: 4633018
{'charpoly_factorization': [[[99286848, 52981632, 2512680, -2390880, -223495, 39839, 3197, -329, -12, 1], 1]], 'hecke_orbit_code': 18014398543044420, 'p': 67}
-
id: 4633019
{'charpoly_factorization': [[[-3875, -39919, -85437, -21210, 16544, 3278, -647, -106, 7, 1], 1]], 'hecke_orbit_code': 18014398543044420, 'p': 71}
-
id: 4633020
{'charpoly_factorization': [[[-18180, -114408, 231246, 108816, -41263, -7516, 2845, -151, -13, 1], 1]], 'hecke_orbit_code': 18014398543044420, 'p': 73}
-
id: 4633021
{'charpoly_factorization': [[[21425, 510976, 1684309, 1191902, 283161, 10439, -3605, -286, 10, 1], 1]], 'hecke_orbit_code': 18014398543044420, 'p': 79}
-
id: 4633022
{'charpoly_factorization': [[[69516, -588396, -1219862, -609114, -18339, 27593, 1634, -325, -9, 1], 1]], 'hecke_orbit_code': 18014398543044420, 'p': 83}
-
id: 4633023
{'charpoly_factorization': [[[-61987357, 61570299, 4599889, -4809342, 21438, 84560, -1243, -510, 5, 1], 1]], 'hecke_orbit_code': 18014398543044420, 'p': 89}
-
id: 4633024
{'charpoly_factorization': [[[-15236672, 27880896, 15146896, -6719040, 126147, 109753, -2879, -604, 7, 1], 1]], 'hecke_orbit_code': 18014398543044420, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '8004.2.a.e', 'level': 8004, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 152607000
{'hecke_orbit_code': 18014398543044420, 'n': 1, 'trace_an': 9}
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id: 152607001
{'hecke_orbit_code': 18014398543044420, 'n': 2, 'trace_an': 0}
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id: 152607002
{'hecke_orbit_code': 18014398543044420, 'n': 3, 'trace_an': -9}
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id: 152607003
{'hecke_orbit_code': 18014398543044420, 'n': 4, 'trace_an': 0}
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id: 152607004
{'hecke_orbit_code': 18014398543044420, 'n': 5, 'trace_an': -3}
-
id: 152607005
{'hecke_orbit_code': 18014398543044420, 'n': 6, 'trace_an': 0}
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id: 152607006
{'hecke_orbit_code': 18014398543044420, 'n': 7, 'trace_an': 7}
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id: 152607007
{'hecke_orbit_code': 18014398543044420, 'n': 8, 'trace_an': 0}
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id: 152607008
{'hecke_orbit_code': 18014398543044420, 'n': 9, 'trace_an': 9}
-
id: 152607009
{'hecke_orbit_code': 18014398543044420, 'n': 10, 'trace_an': 0}
-
id: 152607010
{'hecke_orbit_code': 18014398543044420, 'n': 11, 'trace_an': -2}
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id: 152607011
{'hecke_orbit_code': 18014398543044420, 'n': 12, 'trace_an': 0}
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id: 152607012
{'hecke_orbit_code': 18014398543044420, 'n': 13, 'trace_an': -7}
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id: 152607013
{'hecke_orbit_code': 18014398543044420, 'n': 14, 'trace_an': 0}
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id: 152607014
{'hecke_orbit_code': 18014398543044420, 'n': 15, 'trace_an': 3}
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id: 152607015
{'hecke_orbit_code': 18014398543044420, 'n': 16, 'trace_an': 0}
-
id: 152607016
{'hecke_orbit_code': 18014398543044420, 'n': 17, 'trace_an': 0}
-
id: 152607017
{'hecke_orbit_code': 18014398543044420, 'n': 18, 'trace_an': 0}
-
id: 152607018
{'hecke_orbit_code': 18014398543044420, 'n': 19, 'trace_an': -1}
-
id: 152607019
{'hecke_orbit_code': 18014398543044420, 'n': 20, 'trace_an': 0}
-
id: 152607020
{'hecke_orbit_code': 18014398543044420, 'n': 21, 'trace_an': -7}
-
id: 152607021
{'hecke_orbit_code': 18014398543044420, 'n': 22, 'trace_an': 0}
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