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{'Nk2': 29696, 'analytic_conductor': 109.50754497065458, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [29, 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': [1856, 1, [639, 581, 321], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 22015678615761920, 'field_disc_factorization': [[2, 10], [5, 1], [1163, 2], [1783, 2]], 'field_poly': [5, 0, -51, 0, 92, 0, -19, 0, 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': 1, 'hecke_cutters': [[3, [465125, 0, -87256, 0, 5442, 0, -128, 0, 1]], [5, [4623, 530, -136, -10, 1]], [7, [242208000, 0, -18982336, 0, 403200, 0, -1244, 0, 1]]], 'hecke_orbit': 31, 'hecke_orbit_code': 135107988888225600, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 5120, 'hecke_ring_index_factorization': [[2, 10], [5, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1856.4.a.be', 'level': 1856, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 29], 'level_radical': 58, 'minimal_twist': '928.4.a.c', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{3}+(3+\\beta _{2})q^{5}-\\beta _{4}q^{7}+(5+\\beta _{3}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1856.4.a', 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mf_newspaces • Show schema
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{'ALdims': [45, 39, 39, 45], 'Nk2': 29696, 'analytic_conductor': 109.50754497065458, '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': [1856, 1, [639, 581, 321], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 708, 'dim': 168, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 67110720, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 8, 9, 9, 10, 10, 12, 12, 12], 'label': '1856.4.a', 'level': 1856, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 29], 'level_radical': 58, 'mf_dim': 732, 'mf_new_dim': 168, 'num_forms': 38, 'plus_dim': 90, 'prim_orbit_index': 1, 'relative_dim': 168, 'sturm_bound': 960, 'trace_bound': 7, 'trace_display': [0, 0, 0, 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-92800, 0, 0, 0, -317328, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48747398
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 135107988888225600, 'source_is_minimal': False, 'source_label': '1856.4.a.be.1.4', 'source_level': 1856, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 135107988888225600, 'target_is_minimal': False, 'target_label': '1856.4.a.be.1.4', 'target_level': 1856, 'twist_class_label': '928.4.a.c.1.4', 'twist_class_level': 928, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 48747399
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 135107988888225600, 'source_is_minimal': False, 'source_label': '1856.4.a.be.1.4', 'source_level': 1856, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 135107988888225600, 'target_is_minimal': False, 'target_label': '1856.4.a.be.1.5', 'target_level': 1856, 'twist_class_label': '928.4.a.c.1.4', 'twist_class_level': 928, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48747400
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 135107988888225600, 'source_is_minimal': False, 'source_label': '1856.4.a.be.1.4', 'source_level': 1856, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007199321850784, 'target_is_minimal': True, 'target_label': '928.4.a.c.1.4', 'target_level': 928, 'twist_class_label': '928.4.a.c.1.4', 'twist_class_level': 928, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48747401
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 135107988888225600, 'source_is_minimal': False, 'source_label': '1856.4.a.be.1.4', 'source_level': 1856, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007199321850784, 'target_is_minimal': True, 'target_label': '928.4.a.c.1.5', 'target_level': 928, 'twist_class_label': '928.4.a.c.1.4', 'twist_class_level': 928, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 2258625
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 135107988888225600, 'p': 2}
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id: 2258626
{'charpoly_factorization': [[[465125, 0, -87256, 0, 5442, 0, -128, 0, 1], 1]], 'hecke_orbit_code': 135107988888225600, 'p': 3}
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id: 2258627
{'charpoly_factorization': [[[4623, 530, -136, -10, 1], 2]], 'hecke_orbit_code': 135107988888225600, 'p': 5}
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id: 2258628
{'charpoly_factorization': [[[242208000, 0, -18982336, 0, 403200, 0, -1244, 0, 1], 1]], 'hecke_orbit_code': 135107988888225600, 'p': 7}
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id: 2258629
{'charpoly_factorization': [[[117236328125, 0, -1083410000, 0, 2970250, 0, -3048, 0, 1], 1]], 'hecke_orbit_code': 135107988888225600, 'p': 11}
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id: 2258630
{'charpoly_factorization': [[[-57565, 51254, -2828, 2, 1], 2]], 'hecke_orbit_code': 135107988888225600, 'p': 13}
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id: 2258631
{'charpoly_factorization': [[[10005088, -189936, -5908, 70, 1], 2]], 'hecke_orbit_code': 135107988888225600, 'p': 17}
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id: 2258632
{'charpoly_factorization': [[[864212786208000, 0, -925631175424, 0, 295992864, 0, -33360, 0, 1], 1]], 'hecke_orbit_code': 135107988888225600, 'p': 19}
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id: 2258633
{'charpoly_factorization': [[[3336667779200000, 0, -2810979942400, 0, 644884048, 0, -45892, 0, 1], 1]], 'hecke_orbit_code': 135107988888225600, 'p': 23}
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id: 2258634
{'charpoly_factorization': [[[29, 1], 8]], 'hecke_orbit_code': 135107988888225600, 'p': 29}
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id: 2258635
{'charpoly_factorization': [[[254994533064453125, 0, -66514196299000, 0, 4946975778, 0, -131168, 0, 1], 1]], 'hecke_orbit_code': 135107988888225600, 'p': 31}
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id: 2258636
{'charpoly_factorization': [[[-1016954368, -21516160, -94768, 140, 1], 2]], 'hecke_orbit_code': 135107988888225600, 'p': 37}
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id: 2258637
{'charpoly_factorization': [[[-150049680, -1817816, 22600, 350, 1], 2]], 'hecke_orbit_code': 135107988888225600, 'p': 41}
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id: 2258638
{'charpoly_factorization': [[[40816899997653125, 0, -372597257965400, 0, 24428008418, 0, -378560, 0, 1], 1]], 'hecke_orbit_code': 135107988888225600, 'p': 43}
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id: 2258639
{'charpoly_factorization': [[[60179406013916650125, 0, -3011309734138144, 0, 53468348922, 0, -393176, 0, 1], 1]], 'hecke_orbit_code': 135107988888225600, 'p': 47}
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id: 2258640
{'charpoly_factorization': [[[-9291290897, 112049958, -299976, -302, 1], 2]], 'hecke_orbit_code': 135107988888225600, 'p': 53}
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id: 2258641
{'charpoly_factorization': [[[907188480507008000, 0, -224971208633344, 0, 16802578128, 0, -390548, 0, 1], 1]], 'hecke_orbit_code': 135107988888225600, 'p': 59}
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id: 2258642
{'charpoly_factorization': [[[1059561760, 19863312, -68292, -442, 1], 2]], 'hecke_orbit_code': 135107988888225600, 'p': 61}
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id: 2258643
{'charpoly_factorization': [[[10537803207680000000, 0, -1684578842624000, 0, 68299244032, 0, -502080, 0, 1], 1]], 'hecke_orbit_code': 135107988888225600, 'p': 67}
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id: 2258644
{'charpoly_factorization': [[[5763309552747775008000, 0, -218252583882087424, 0, 1054290301600, 0, -1776416, 0, 1], 1]], 'hecke_orbit_code': 135107988888225600, 'p': 71}
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id: 2258645
{'charpoly_factorization': [[[-17262411776, -56713216, 681536, 1752, 1], 2]], 'hecke_orbit_code': 135107988888225600, 'p': 73}
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id: 2258646
{'charpoly_factorization': [[[164301758368636095703125, 0, -2358006848347465000, 0, 5208747069650, 0, -3985968, 0, 1], 1]], 'hecke_orbit_code': 135107988888225600, 'p': 79}
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id: 2258647
{'charpoly_factorization': [[[3350192175714642048000, 0, -698637672205167616, 0, 3255874242384, 0, -3363092, 0, 1], 1]], 'hecke_orbit_code': 135107988888225600, 'p': 83}
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id: 2258648
{'charpoly_factorization': [[[-200379381360, -1193037208, -627440, 1462, 1], 2]], 'hecke_orbit_code': 135107988888225600, 'p': 89}
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id: 2258649
{'charpoly_factorization': [[[3460798083408, -2798890712, -3482912, 1334, 1], 2]], 'hecke_orbit_code': 135107988888225600, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 31, 'label': '1856.4.a.be', 'level': 1856, 'portrait': 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'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 68726017
{'hecke_orbit_code': 135107988888225600, 'n': 1, 'trace_an': 8}
-
id: 68726018
{'hecke_orbit_code': 135107988888225600, 'n': 2, 'trace_an': 0}
-
id: 68726019
{'hecke_orbit_code': 135107988888225600, 'n': 3, 'trace_an': 0}
-
id: 68726020
{'hecke_orbit_code': 135107988888225600, 'n': 4, 'trace_an': 0}
-
id: 68726021
{'hecke_orbit_code': 135107988888225600, 'n': 5, 'trace_an': 20}
-
id: 68726022
{'hecke_orbit_code': 135107988888225600, 'n': 6, 'trace_an': 0}
-
id: 68726023
{'hecke_orbit_code': 135107988888225600, 'n': 7, 'trace_an': 0}
-
id: 68726024
{'hecke_orbit_code': 135107988888225600, 'n': 8, 'trace_an': 0}
-
id: 68726025
{'hecke_orbit_code': 135107988888225600, 'n': 9, 'trace_an': 40}
-
id: 68726026
{'hecke_orbit_code': 135107988888225600, 'n': 10, 'trace_an': 0}
-
id: 68726027
{'hecke_orbit_code': 135107988888225600, 'n': 11, 'trace_an': 0}
-
id: 68726028
{'hecke_orbit_code': 135107988888225600, 'n': 12, 'trace_an': 0}
-
id: 68726029
{'hecke_orbit_code': 135107988888225600, 'n': 13, 'trace_an': -4}
-
id: 68726030
{'hecke_orbit_code': 135107988888225600, 'n': 14, 'trace_an': 0}
-
id: 68726031
{'hecke_orbit_code': 135107988888225600, 'n': 15, 'trace_an': 0}
-
id: 68726032
{'hecke_orbit_code': 135107988888225600, 'n': 16, 'trace_an': 0}
-
id: 68726033
{'hecke_orbit_code': 135107988888225600, 'n': 17, 'trace_an': -140}
-
id: 68726034
{'hecke_orbit_code': 135107988888225600, 'n': 18, 'trace_an': 0}
-
id: 68726035
{'hecke_orbit_code': 135107988888225600, 'n': 19, 'trace_an': 0}
-
id: 68726036
{'hecke_orbit_code': 135107988888225600, 'n': 20, 'trace_an': 0}
-
id: 68726037
{'hecke_orbit_code': 135107988888225600, 'n': 21, 'trace_an': 28}
-
id: 68726038
{'hecke_orbit_code': 135107988888225600, 'n': 22, 'trace_an': 0}
-
id: 68726039
{'hecke_orbit_code': 135107988888225600, 'n': 23, 'trace_an': 0}
-
id: 68726040
{'hecke_orbit_code': 135107988888225600, 'n': 24, 'trace_an': 0}
-
id: 68726041
{'hecke_orbit_code': 135107988888225600, 'n': 25, 'trace_an': -256}
-
id: 68726042
{'hecke_orbit_code': 135107988888225600, 'n': 26, 'trace_an': 0}
-
id: 68726043
{'hecke_orbit_code': 135107988888225600, 'n': 27, 'trace_an': 0}
-
id: 68726044
{'hecke_orbit_code': 135107988888225600, 'n': 28, 'trace_an': 0}
-
id: 68726045
{'hecke_orbit_code': 135107988888225600, 'n': 29, 'trace_an': -232}
-
id: 68726046
{'hecke_orbit_code': 135107988888225600, 'n': 30, 'trace_an': 0}
-
id: 68726047
{'hecke_orbit_code': 135107988888225600, 'n': 31, 'trace_an': 0}
-
id: 68726048
{'hecke_orbit_code': 135107988888225600, 'n': 32, 'trace_an': 0}
-
id: 68726049
{'hecke_orbit_code': 135107988888225600, 'n': 33, 'trace_an': -344}
-
id: 68726050
{'hecke_orbit_code': 135107988888225600, 'n': 34, 'trace_an': 0}
-
id: 68726051
{'hecke_orbit_code': 135107988888225600, 'n': 35, 'trace_an': 0}
-
id: 68726052
{'hecke_orbit_code': 135107988888225600, 'n': 36, 'trace_an': 0}
-
id: 68726053
{'hecke_orbit_code': 135107988888225600, 'n': 37, 'trace_an': -280}
-
id: 68726054
{'hecke_orbit_code': 135107988888225600, 'n': 38, 'trace_an': 0}
-
id: 68726055
{'hecke_orbit_code': 135107988888225600, 'n': 39, 'trace_an': 0}
-
id: 68726056
{'hecke_orbit_code': 135107988888225600, 'n': 40, 'trace_an': 0}
-
id: 68726057
{'hecke_orbit_code': 135107988888225600, 'n': 41, 'trace_an': -700}
-
id: 68726058
{'hecke_orbit_code': 135107988888225600, 'n': 42, 'trace_an': 0}
-
id: 68726059
{'hecke_orbit_code': 135107988888225600, 'n': 43, 'trace_an': 0}
-
id: 68726060
{'hecke_orbit_code': 135107988888225600, 'n': 44, 'trace_an': 0}
-
id: 68726061
{'hecke_orbit_code': 135107988888225600, 'n': 45, 'trace_an': 56}
-
id: 68726062
{'hecke_orbit_code': 135107988888225600, 'n': 46, 'trace_an': 0}
-
id: 68726063
{'hecke_orbit_code': 135107988888225600, 'n': 47, 'trace_an': 0}
-
id: 68726064
{'hecke_orbit_code': 135107988888225600, 'n': 48, 'trace_an': 0}
-
id: 68726065
{'hecke_orbit_code': 135107988888225600, 'n': 49, 'trace_an': -256}
-
id: 68726066
{'hecke_orbit_code': 135107988888225600, 'n': 50, 'trace_an': 0}
-
id: 68726067
{'hecke_orbit_code': 135107988888225600, 'n': 51, 'trace_an': 0}
-
id: 68726068
{'hecke_orbit_code': 135107988888225600, 'n': 52, 'trace_an': 0}
-
id: 68726069
{'hecke_orbit_code': 135107988888225600, 'n': 53, 'trace_an': 604}
-
id: 68726070
{'hecke_orbit_code': 135107988888225600, 'n': 54, 'trace_an': 0}
-
id: 68726071
{'hecke_orbit_code': 135107988888225600, 'n': 55, 'trace_an': 0}
-
id: 68726072
{'hecke_orbit_code': 135107988888225600, 'n': 56, 'trace_an': 0}
-
id: 68726073
{'hecke_orbit_code': 135107988888225600, 'n': 57, 'trace_an': -2016}
-
id: 68726074
{'hecke_orbit_code': 135107988888225600, 'n': 58, 'trace_an': 0}
-
id: 68726075
{'hecke_orbit_code': 135107988888225600, 'n': 59, 'trace_an': 0}
-
id: 68726076
{'hecke_orbit_code': 135107988888225600, 'n': 60, 'trace_an': 0}
-
id: 68726077
{'hecke_orbit_code': 135107988888225600, 'n': 61, 'trace_an': 884}
-
id: 68726078
{'hecke_orbit_code': 135107988888225600, 'n': 62, 'trace_an': 0}
-
id: 68726079
{'hecke_orbit_code': 135107988888225600, 'n': 63, 'trace_an': 0}
-
id: 68726080
{'hecke_orbit_code': 135107988888225600, 'n': 64, 'trace_an': 0}
-
id: 68726081
{'hecke_orbit_code': 135107988888225600, 'n': 65, 'trace_an': -1616}
-
id: 68726082
{'hecke_orbit_code': 135107988888225600, 'n': 66, 'trace_an': 0}
-
id: 68726083
{'hecke_orbit_code': 135107988888225600, 'n': 67, 'trace_an': 0}
-
id: 68726084
{'hecke_orbit_code': 135107988888225600, 'n': 68, 'trace_an': 0}
-
id: 68726085
{'hecke_orbit_code': 135107988888225600, 'n': 69, 'trace_an': 764}
-
id: 68726086
{'hecke_orbit_code': 135107988888225600, 'n': 70, 'trace_an': 0}
-
id: 68726087
{'hecke_orbit_code': 135107988888225600, 'n': 71, 'trace_an': 0}
-
id: 68726088
{'hecke_orbit_code': 135107988888225600, 'n': 72, 'trace_an': 0}
-
id: 68726089
{'hecke_orbit_code': 135107988888225600, 'n': 73, 'trace_an': -3504}
-
id: 68726090
{'hecke_orbit_code': 135107988888225600, 'n': 74, 'trace_an': 0}
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