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mf_newforms • Show schema
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{'Nk2': 1152, 'analytic_conductor': 5.622930458714191, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [18, 3, [11], [2]], 'cm_discs': [], 'conrey_index': 7, 'dim': 6, 'field_disc': -14601465675, 'field_disc_factorization': [[-1, 1], [3, 3], [5, 2], [4651, 2]], 'field_poly': [1872, -660, 709, -99, 52, -3, 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': [[5, [166659897600, 48862653840, 14303890521, 7279794, 122607, -54, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 137573171218, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2916, 'hecke_ring_index_factorization': [[2, 2], [3, 6]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '18.8.c.a', 'level': 18, '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, 3], 'level_radical': 6, 'minimal_twist': '18.8.c.a', 'nf_label': '6.0.14601465675.1', 'prim_orbit_index': 3, 'qexp_display': 'q-8\\beta _{1}q^{2}+(-14+19\\beta _{1}-\\beta _{2}-\\beta _{4}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '7.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '18.8.c', 'trace_display': [-24, -27, 54, 210], 'trace_hash': 1285720622009313175, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.040', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.243', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 1152, 'analytic_conductor': 5.622930458714191, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [18, 3, [11], [2]], 'conrey_index': 7, 'cusp_dim': 38, 'dim': 14, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 137573171218, 'hecke_orbit_dims': [6, 8], 'label': '18.8.c', 'level': 18, '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, 3], 'level_radical': 6, 'mf_dim': 46, 'mf_new_dim': 14, 'num_forms': 2, 'prim_orbit_index': 3, 'relative_dim': 7, 'sturm_bound': 24, 'trace_bound': 1, 'trace_display': [8, -39, 108, 166], 'traces': [14, 8, -39, -448, 108, 1272, 166, -1024, 57, 0, 8751, 0, 3694, 2032, 18360, -28672, -81762, -3408, -46778, 6912, 277854, 35256, -41682, -7680, -181369, -263840, -200880, 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mf_twists_cc • Show schema
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id: 1584999
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 7, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 137573171218, 'source_is_minimal': True, 'source_label': '18.8.c.a.7.2', 'source_level': 18, 'target_conrey_index': 7, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 137573171218, 'target_is_minimal': True, 'target_label': '18.8.c.a.7.2', 'target_level': 18, 'twist_class_label': '18.8.c.a.7.2', 'twist_class_level': 18, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 8}
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id: 1585000
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 7, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 137573171218, 'source_is_minimal': True, 'source_label': '18.8.c.a.7.2', 'source_level': 18, 'target_conrey_index': 19, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137573171254, 'target_is_minimal': False, 'target_label': '54.8.c.a.19.1', 'target_level': 54, 'twist_class_label': '18.8.c.a.7.2', 'twist_class_level': 18, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 8}
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id: 1585001
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 7, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 137573171218, 'source_is_minimal': True, 'source_label': '18.8.c.a.7.2', 'source_level': 18, 'target_conrey_index': 97, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 549890031760, 'target_is_minimal': False, 'target_label': '144.8.i.a.97.2', 'target_level': 144, 'twist_class_label': '18.8.c.a.7.2', 'twist_class_level': 18, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 8}
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id: 1585002
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 7, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 137573171218, 'source_is_minimal': True, 'source_label': '18.8.c.a.7.2', 'source_level': 18, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014398643699874, 'target_is_minimal': False, 'target_label': '162.8.a.e.1.3', 'target_level': 162, 'twist_class_label': '18.8.c.a.7.2', 'twist_class_level': 18, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 8}
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id: 1585003
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 7, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 137573171218, 'source_is_minimal': True, 'source_label': '18.8.c.a.7.2', 'source_level': 18, 'target_conrey_index': 13, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 137573171218, 'target_is_minimal': True, 'target_label': '18.8.c.a.13.2', 'target_level': 18, 'twist_class_label': '18.8.c.a.7.2', 'twist_class_level': 18, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 8}
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id: 1585004
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 7, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 137573171218, 'source_is_minimal': True, 'source_label': '18.8.c.a.7.2', 'source_level': 18, 'target_conrey_index': 37, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137573171254, 'target_is_minimal': False, 'target_label': '54.8.c.a.37.1', 'target_level': 54, 'twist_class_label': '18.8.c.a.7.2', 'twist_class_level': 18, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 8}
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id: 1585005
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 7, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 137573171218, 'source_is_minimal': True, 'source_label': '18.8.c.a.7.2', 'source_level': 18, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998271070370, 'target_is_minimal': False, 'target_label': '162.8.a.f.1.1', 'target_level': 162, 'twist_class_label': '18.8.c.a.7.2', 'twist_class_level': 18, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 8}
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id: 1585006
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 7, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 137573171218, 'source_is_minimal': True, 'source_label': '18.8.c.a.7.2', 'source_level': 18, 'target_conrey_index': 289, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549890032048, 'target_is_minimal': False, 'target_label': '432.8.i.a.289.1', 'target_level': 432, 'twist_class_label': '18.8.c.a.7.2', 'twist_class_level': 18, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 8}
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id: 1585007
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 7, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 137573171218, 'source_is_minimal': True, 'source_label': '18.8.c.a.7.2', 'source_level': 18, 'target_conrey_index': 145, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549890032048, 'target_is_minimal': False, 'target_label': '432.8.i.a.145.1', 'target_level': 432, 'twist_class_label': '18.8.c.a.7.2', 'twist_class_level': 18, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 8}
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id: 1585008
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 7, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 137573171218, 'source_is_minimal': True, 'source_label': '18.8.c.a.7.2', 'source_level': 18, 'target_conrey_index': 49, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 549890031760, 'target_is_minimal': False, 'target_label': '144.8.i.a.49.2', 'target_level': 144, 'twist_class_label': '18.8.c.a.7.2', 'twist_class_level': 18, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 8}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 71025
{'charpoly_factorization': [[[64, 8, 1], 3]], 'hecke_orbit_code': 137573171218, 'p': 2}
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id: 71026
{'charpoly_factorization': [[[10460353203, 129140163, -1712421, -56862, -783, 27, 1], 1]], 'hecke_orbit_code': 137573171218, 'p': 3}
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id: 71027
{'charpoly_factorization': [[[166659897600, 48862653840, 14303890521, 7279794, 122607, -54, 1], 1]], 'hecke_orbit_code': 137573171218, 'p': 5}
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id: 71028
{'charpoly_factorization': [[[152127249740384356, -379182992031318, 1027035455469, -575912698, 1016277, -210, 1], 1]], 'hecke_orbit_code': 137573171218, 'p': 7}
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id: 71029
{'charpoly_factorization': [[[351472434331647629025, -57089079610606395, 132613331576886, -17461213551, 46328382, -6579, 1], 1]], 'hecke_orbit_code': 137573171218, 'p': 11}
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id: 71030
{'charpoly_factorization': [[[1847649094932934160122564, -188840612752821397182, 33018501796644777, -1316517088048, 240775143, -10092, 1], 1]], 'hecke_orbit_code': 137573171218, 'p': 13}
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id: 71031
{'charpoly_factorization': [[[2214690411708, -667558368, 14895, 1], 2]], 'hecke_orbit_code': 137573171218, 'p': 17}
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id: 71032
{'charpoly_factorization': [[[-22074972070832, 554967912, 68745, 1], 2]], 'hecke_orbit_code': 137573171218, 'p': 19}
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id: 71033
{'charpoly_factorization': [[[168335989170121626659828100, -26457454826483019542190, 3643843628523503421, -106811262814194, 3611638557, 39654, 1], 1]], 'hecke_orbit_code': 137573171218, 'p': 23}
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id: 71034
{'charpoly_factorization': [[[2240196216297773230139129020836, -9998602803249255462526362, 403589864618155463121, -1391306117824548, 64199693151, -239832, 1], 1]], 'hecke_orbit_code': 137573171218, 'p': 29}
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id: 71035
{'charpoly_factorization': [[[8165552066769305402919075235600, -57672252689134042710446340, 823687211403416438961, -2774420610215776, 41412117417, -145704, 1], 1]], 'hecke_orbit_code': 137573171218, 'p': 31}
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id: 71036
{'charpoly_factorization': [[[-8117079425236016, -104418981852, 360192, 1], 2]], 'hecke_orbit_code': 137573171218, 'p': 37}
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id: 71037
{'charpoly_factorization': [[[1646708339845523612579353125832161, -15139676290721509571855663313, 95082910961231930311746, -324381902968228977, 808468388226, -1086993, 1], 1]], 'hecke_orbit_code': 137573171218, 'p': 41}
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id: 71038
{'charpoly_factorization': [[[1407665857219825531175912213713369, -11007953430304553965042824153, 74827822201696943840382, -163047392828367397, 383377961958, 299967, 1], 1]], 'hecke_orbit_code': 137573171218, 'p': 43}
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id: 71039
{'charpoly_factorization': [[[172754922417895937413444307081691204, -459211170288546643434537632670, 1275371366871431355623757, -685842155827269786, 1122162012621, -131634, 1], 1]], 'hecke_orbit_code': 137573171218, 'p': 47}
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id: 71040
{'charpoly_factorization': [[[3367179313472921040, -3067331401980, -954576, 1], 2]], 'hecke_orbit_code': 137573171218, 'p': 53}
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id: 71041
{'charpoly_factorization': [[[9477338452749275744274958664795696481, -4994277993032713496073020418813, 10343098926499190967572526, -2093449660927958097, 7896582384966, -2504853, 1], 1]], 'hecke_orbit_code': 137573171218, 'p': 59}
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id: 71042
{'charpoly_factorization': [[[65572645626322269610754165887433636416, -126983745098981839957726911142920, 186722156999653550096657577, -98421074221636788118, 37740566240799, -7309038, 1], 1]], 'hecke_orbit_code': 137573171218, 'p': 61}
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id: 71043
{'charpoly_factorization': [[[536697352246764665715862152404161, 17241578273343859001287859517, 633423543656388190411614, -2601331213690271743, 11041490538582, -3433035, 1], 1]], 'hecke_orbit_code': 137573171218, 'p': 67}
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id: 71044
{'charpoly_factorization': [[[4720430247866866944, -4621253859936, -1134684, 1], 2]], 'hecke_orbit_code': 137573171218, 'p': 71}
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id: 71045
{'charpoly_factorization': [[[8401767644032499908, 15258653987016, 7950873, 1], 2]], 'hecke_orbit_code': 137573171218, 'p': 73}
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id: 71046
{'charpoly_factorization': [[[877862814611650929269227284846243696784, -176224722309054746213395254154068, 245056389877474839005817777, -17165623291027519912, 56030670909753, -7076928, 1], 1]], 'hecke_orbit_code': 137573171218, 'p': 79}
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id: 71047
{'charpoly_factorization': [[[35787085535327992267154754355364449895184, 1707728838135424608955308816595284, 2146228547017365839358346041, 279822019963486012524, 128152343581389, 10914444, 1], 1]], 'hecke_orbit_code': 137573171218, 'p': 83}
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id: 71048
{'charpoly_factorization': [[[2845595620276216200, 3372725739996, -11900178, 1], 2]], 'hecke_orbit_code': 137573171218, 'p': 89}
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id: 71049
{'charpoly_factorization': [[[882214785360125104649694074453157648555961, -201856844696289905760989837927839437, 46674054961105108575429176946, -1766910856155437481973, 215179578377826, -519357, 1], 1]], 'hecke_orbit_code': 137573171218, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 1, 'label': '18.8.c.a', 'level': 18, 'portrait': 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', 'weight': 8}
-
mf_hecke_traces • Show schema
Hide schema
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id: 6099667
{'hecke_orbit_code': 137573171218, 'n': 1, 'trace_an': 6}
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id: 6099668
{'hecke_orbit_code': 137573171218, 'n': 2, 'trace_an': -24}
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id: 6099669
{'hecke_orbit_code': 137573171218, 'n': 3, 'trace_an': -27}
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id: 6099670
{'hecke_orbit_code': 137573171218, 'n': 4, 'trace_an': -192}
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id: 6099671
{'hecke_orbit_code': 137573171218, 'n': 5, 'trace_an': 54}
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id: 6099672
{'hecke_orbit_code': 137573171218, 'n': 6, 'trace_an': 792}
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id: 6099673
{'hecke_orbit_code': 137573171218, 'n': 7, 'trace_an': 210}
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id: 6099674
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