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{'Nk2': 5824, 'analytic_conductor': 11.626218534298424, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [7, 1], [13, -1]], 'atkin_lehner_string': '++-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1456, 1, [911, 1093, 1249, 561], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 183064, 'field_disc_factorization': [[2, 3], [7, 2], [467, 1]], 'field_poly': [8, 6, -10, -1, 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': [[3, [8, -6, -10, 1, 1]], [5, [32, 14, -17, 0, 1]], [11, [8, -6, -10, 1, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580965808, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], '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': False, 'label': '1456.2.a.u', 'level': 1456, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 13], 'level_radical': 182, 'minimal_twist': '728.2.a.h', 'nf_label': '4.4.183064.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{3}-\\beta _{3}q^{5}-q^{7}+(2+\\beta _{2})q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1456.2.a', 'trace_display': [0, -1, 0, -4], 'trace_hash': 250021567405947220, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.080', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.682', 'prec': 17}, 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{'AL_dims': [[[[2, -1], [7, -1], [13, -1]], 5, 3], [[[2, 1], [7, -1], [13, 1]], 6, 2], [[[2, 1], [7, -1], [13, -1]], 3, 2], [[[2, -1], [7, -1], [13, 1]], 5, 4], [[[2, 1], [7, 1], [13, -1]], 6, 2], [[[2, -1], [7, 1], [13, 1]], 4, 3], [[[2, -1], [7, 1], [13, -1]], 4, 3], [[[2, 1], [7, 1], [13, 1]], 3, 3]], 'ALdims': [3, 6, 6, 3, 4, 4, 5, 5], 'Nk2': 5824, 'analytic_conductor': 11.626218534298424, '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': [1456, 1, [911, 1093, 1249, 561], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 213, 'dim': 36, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 11], 'hecke_orbit_code': 33555888, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 4, 4], 'label': '1456.2.a', 'level': 1456, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 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mf_twists_cc • Show schema
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id: 48310684
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90071992580965808, 'source_is_minimal': False, 'source_label': '1456.2.a.u.1.2', 'source_level': 1456, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 90071992580965808, 'target_is_minimal': False, 'target_label': '1456.2.a.u.1.2', 'target_level': 1456, 'twist_class_label': '728.2.a.h.1.3', 'twist_class_level': 728, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48310685
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90071992580965808, 'source_is_minimal': False, 'source_label': '1456.2.a.u.1.2', 'source_level': 1456, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31525197425148632, 'target_is_minimal': True, 'target_label': '728.2.a.h.1.3', 'target_level': 728, 'twist_class_label': '728.2.a.h.1.3', 'twist_class_level': 728, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48310686
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90071992580965808, 'source_is_minimal': False, 'source_label': '1456.2.a.u.1.2', 'source_level': 1456, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 243194379911567040, 'target_is_minimal': False, 'target_label': '5824.2.a.cc.1.2', 'target_level': 5824, 'twist_class_label': '728.2.a.h.1.3', 'twist_class_level': 728, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48310687
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90071992580965808, 'source_is_minimal': False, 'source_label': '1456.2.a.u.1.2', 'source_level': 1456, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 256705178793678528, 'target_is_minimal': False, 'target_label': '5824.2.a.cf.1.3', 'target_level': 5824, 'twist_class_label': '728.2.a.h.1.3', 'twist_class_level': 728, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48310688
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90071992580965808, 'source_is_minimal': False, 'source_label': '1456.2.a.u.1.2', 'source_level': 1456, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 202661983265233304, 'target_is_minimal': False, 'target_label': '6552.2.a.bt.1.1', 'target_level': 6552, 'twist_class_label': '728.2.a.h.1.3', 'twist_class_level': 728, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48310689
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90071992580965808, 'source_is_minimal': False, 'source_label': '1456.2.a.u.1.2', 'source_level': 1456, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568392953598952, 'target_is_minimal': False, 'target_label': '5096.2.a.t.1.2', 'target_level': 5096, 'twist_class_label': '728.2.a.h.1.3', 'twist_class_level': 728, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 48310690
{'conductor': 52, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90071992580965808, 'source_is_minimal': False, 'source_label': '1456.2.a.u.1.2', 'source_level': 1456, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 117093590345196792, 'target_is_minimal': False, 'target_label': '9464.2.a.ba.1.3', 'target_level': 9464, 'twist_class_label': '728.2.a.h.1.3', 'twist_class_level': 728, 'twisting_char_label': '52.51', 'twisting_conrey_index': 51, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1964325
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 90071992580965808, 'p': 2}
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id: 1964326
{'charpoly_factorization': [[[8, -6, -10, 1, 1], 1]], 'hecke_orbit_code': 90071992580965808, 'p': 3}
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id: 1964327
{'charpoly_factorization': [[[32, 14, -17, 0, 1], 1]], 'hecke_orbit_code': 90071992580965808, 'p': 5}
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id: 1964328
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 90071992580965808, 'p': 7}
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id: 1964329
{'charpoly_factorization': [[[8, -6, -10, 1, 1], 1]], 'hecke_orbit_code': 90071992580965808, 'p': 11}
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id: 1964330
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 90071992580965808, 'p': 13}
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id: 1964331
{'charpoly_factorization': [[[-96, 188, -54, -2, 1], 1]], 'hecke_orbit_code': 90071992580965808, 'p': 17}
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id: 1964332
{'charpoly_factorization': [[[8, -22, 7, 8, 1], 1]], 'hecke_orbit_code': 90071992580965808, 'p': 19}
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id: 1964333
{'charpoly_factorization': [[[-48, 121, -1, -9, 1], 1]], 'hecke_orbit_code': 90071992580965808, 'p': 23}
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id: 1964334
{'charpoly_factorization': [[[-192, -190, -35, 4, 1], 1]], 'hecke_orbit_code': 90071992580965808, 'p': 29}
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id: 1964335
{'charpoly_factorization': [[[-720, -353, -15, 11, 1], 1]], 'hecke_orbit_code': 90071992580965808, 'p': 31}
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id: 1964336
{'charpoly_factorization': [[[-12, 14, 8, -7, 1], 1]], 'hecke_orbit_code': 90071992580965808, 'p': 37}
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id: 1964337
{'charpoly_factorization': [[[-600, 508, -18, -13, 1], 1]], 'hecke_orbit_code': 90071992580965808, 'p': 41}
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id: 1964338
{'charpoly_factorization': [[[32, -116, -79, -2, 1], 1]], 'hecke_orbit_code': 90071992580965808, 'p': 43}
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id: 1964339
{'charpoly_factorization': [[[-720, -353, -15, 11, 1], 1]], 'hecke_orbit_code': 90071992580965808, 'p': 47}
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id: 1964340
{'charpoly_factorization': [[[-1000, 22, 109, -20, 1], 1]], 'hecke_orbit_code': 90071992580965808, 'p': 53}
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id: 1964341
{'charpoly_factorization': [[[2144, 328, -124, -2, 1], 1]], 'hecke_orbit_code': 90071992580965808, 'p': 59}
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id: 1964342
{'charpoly_factorization': [[[-3064, 1524, -46, -17, 1], 1]], 'hecke_orbit_code': 90071992580965808, 'p': 61}
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id: 1964343
{'charpoly_factorization': [[[16, -100, -60, -3, 1], 1]], 'hecke_orbit_code': 90071992580965808, 'p': 67}
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id: 1964344
{'charpoly_factorization': [[[576, -200, -130, -8, 1], 1]], 'hecke_orbit_code': 90071992580965808, 'p': 71}
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id: 1964345
{'charpoly_factorization': [[[186, 113, -21, -11, 1], 1]], 'hecke_orbit_code': 90071992580965808, 'p': 73}
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id: 1964346
{'charpoly_factorization': [[[8, 83, 175, -27, 1], 1]], 'hecke_orbit_code': 90071992580965808, 'p': 79}
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id: 1964347
{'charpoly_factorization': [[[-432, -32, 115, -22, 1], 1]], 'hecke_orbit_code': 90071992580965808, 'p': 83}
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id: 1964348
{'charpoly_factorization': [[[-2476, 1496, -193, -10, 1], 1]], 'hecke_orbit_code': 90071992580965808, 'p': 89}
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id: 1964349
{'charpoly_factorization': [[[1094, 775, -53, -17, 1], 1]], 'hecke_orbit_code': 90071992580965808, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '1456.2.a.u', 'level': 1456, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 248830000
{'hecke_orbit_code': 90071992580965808, 'n': 1, 'trace_an': 4}
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id: 248830001
{'hecke_orbit_code': 90071992580965808, 'n': 2, 'trace_an': 0}
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id: 248830002
{'hecke_orbit_code': 90071992580965808, 'n': 3, 'trace_an': -1}
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id: 248830003
{'hecke_orbit_code': 90071992580965808, 'n': 4, 'trace_an': 0}
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id: 248830004
{'hecke_orbit_code': 90071992580965808, 'n': 5, 'trace_an': 0}
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id: 248830005
{'hecke_orbit_code': 90071992580965808, 'n': 6, 'trace_an': 0}
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id: 248830006
{'hecke_orbit_code': 90071992580965808, 'n': 7, 'trace_an': -4}
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id: 248830007
{'hecke_orbit_code': 90071992580965808, 'n': 8, 'trace_an': 0}
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id: 248830008
{'hecke_orbit_code': 90071992580965808, 'n': 9, 'trace_an': 9}
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id: 248830009
{'hecke_orbit_code': 90071992580965808, 'n': 10, 'trace_an': 0}
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id: 248830010
{'hecke_orbit_code': 90071992580965808, 'n': 11, 'trace_an': -1}
-
id: 248830011
{'hecke_orbit_code': 90071992580965808, 'n': 12, 'trace_an': 0}
-
id: 248830012
{'hecke_orbit_code': 90071992580965808, 'n': 13, 'trace_an': 4}
-
id: 248830013
{'hecke_orbit_code': 90071992580965808, 'n': 14, 'trace_an': 0}
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id: 248830014
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