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mf_newforms • Show schema
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{'Nk2': 2688, 'analytic_conductor': 13.120171070333114, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [42, 3, [29, 31], [3, 2]], 'cm_discs': [], 'conrey_index': 25, 'dim': 6, 'field_disc': -13118123150785300876875, 'field_disc_factorization': [[-1, 1], [3, 3], [5, 4], [6053, 2], [145661, 2]], 'field_poly': [206496900, -316355550, 484660225, -28740, 22015, 0, 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, [407206166422500, 3679199988750, 31829851125, 53121450, 187225, -70, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511073894236202, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 84, 'hecke_ring_index_factorization': [[2, 2], [3, 1], [7, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '42.8.e.d', 'level': 42, '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': True, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '42.8.e.d', 'prim_orbit_index': 3, 'qexp_display': 'q-8\\beta _{1}q^{2}+(-3^{3}+3^{3}\\beta _{1})q^{3}+(-2^{6}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '7.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '42.8.e', 'trace_display': [-24, -81, 70, -895], 'trace_hash': 170137716405697887, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.027', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.010', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 2688, 'analytic_conductor': 13.120171070333114, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [42, 3, [29, 31], [3, 2]], 'conrey_index': 25, 'cusp_dim': 104, 'dim': 20, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 275012124714, 'hecke_orbit_dims': [2, 2, 4, 6, 6], 'label': '42.8.e', 'level': 42, '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': True, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 120, 'mf_new_dim': 20, 'num_forms': 5, 'prim_orbit_index': 3, 'relative_dim': 10, 'sturm_bound': 64, 'trace_bound': 5, 'trace_display': [0, 0, -4, 1742], 'traces': [20, 0, 0, -640, -4, 864, 1742, 0, -7290, -3792, 4696, 0, -7904, 12608, -21276, -40960, -71732, 0, -1796, 512, 67932, -63072, -125948, -27648, -75676, 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mf_twists_cc • Show schema
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id: 43223442
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 25, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073894236202, 'source_is_minimal': True, 'source_label': '42.8.e.d.25.1', 'source_level': 42, 'target_conrey_index': 25, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073894236202, 'target_is_minimal': True, 'target_label': '42.8.e.d.25.1', 'target_level': 42, 'twist_class_label': '42.8.e.d.25.1', 'twist_class_level': 42, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 8}
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id: 43223443
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 25, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073894236202, 'source_is_minimal': True, 'source_label': '42.8.e.d.25.1', 'source_level': 42, 'target_conrey_index': 109, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 45036408724783230, 'target_is_minimal': False, 'target_label': '126.8.g.k.109.3', 'target_level': 126, 'twist_class_label': '42.8.e.d.25.1', 'twist_class_level': 42, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 8}
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id: 43223444
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 25, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073894236202, 'source_is_minimal': True, 'source_label': '42.8.e.d.25.1', 'source_level': 42, 'target_conrey_index': 37, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073894236202, 'target_is_minimal': True, 'target_label': '42.8.e.d.37.1', 'target_level': 42, 'twist_class_label': '42.8.e.d.25.1', 'twist_class_level': 42, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 8}
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id: 43223445
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 25, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073894236202, 'source_is_minimal': True, 'source_label': '42.8.e.d.25.1', 'source_level': 42, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791563739430, 'target_is_minimal': False, 'target_label': '294.8.a.x.1.1', 'target_level': 294, 'twist_class_label': '42.8.e.d.25.1', 'twist_class_level': 42, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 8}
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id: 43223446
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 25, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073894236202, 'source_is_minimal': True, 'source_label': '42.8.e.d.25.1', 'source_level': 42, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 108086391191109926, 'target_is_minimal': False, 'target_label': '294.8.a.y.1.3', 'target_level': 294, 'twist_class_label': '42.8.e.d.25.1', 'twist_class_level': 42, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 8}
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id: 43223447
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 25, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073894236202, 'source_is_minimal': True, 'source_label': '42.8.e.d.25.1', 'source_level': 42, 'target_conrey_index': 79, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 112590265696387366, 'target_is_minimal': False, 'target_label': '294.8.e.z.79.3', 'target_level': 294, 'twist_class_label': '42.8.e.d.25.1', 'twist_class_level': 42, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 8}
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id: 43223448
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 25, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073894236202, 'source_is_minimal': True, 'source_label': '42.8.e.d.25.1', 'source_level': 42, 'target_conrey_index': 67, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 112590265696387366, 'target_is_minimal': False, 'target_label': '294.8.e.z.67.3', 'target_level': 294, 'twist_class_label': '42.8.e.d.25.1', 'twist_class_level': 42, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 8}
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id: 43223449
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 25, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073894236202, 'source_is_minimal': True, 'source_label': '42.8.e.d.25.1', 'source_level': 42, 'target_conrey_index': 37, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 45036408724783230, 'target_is_minimal': False, 'target_label': '126.8.g.k.37.3', 'target_level': 126, 'twist_class_label': '42.8.e.d.25.1', 'twist_class_level': 42, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 8}
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mf_hecke_charpolys • Show schema
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id: 143900
{'charpoly_factorization': [[[64, 8, 1], 3]], 'hecke_orbit_code': 13511073894236202, 'p': 2}
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id: 143901
{'charpoly_factorization': [[[729, 27, 1], 3]], 'hecke_orbit_code': 13511073894236202, 'p': 3}
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id: 143902
{'charpoly_factorization': [[[407206166422500, 3679199988750, 31829851125, 53121450, 187225, -70, 1], 1]], 'hecke_orbit_code': 13511073894236202, 'p': 5}
-
id: 143903
{'charpoly_factorization': [[[558545864083284007, 607009650199855, 1037502765572, 663157915, 1259804, 895, 1], 1]], 'hecke_orbit_code': 13511073894236202, 'p': 7}
-
id: 143904
{'charpoly_factorization': [[[495514756437759276516, -508793081537793582, 468379556057601, -100016308968, 28751851, 2428, 1], 1]], 'hecke_orbit_code': 13511073894236202, 'p': 11}
-
id: 143905
{'charpoly_factorization': [[[58693162752, -61963748, 1919, 1], 2]], 'hecke_orbit_code': 13511073894236202, 'p': 13}
-
id: 143906
{'charpoly_factorization': [[[54139034510273471044386816, 3209594637368041832448, 370606546815538176, 4025228675712, 1036851376, 24508, 1], 1]], 'hecke_orbit_code': 13511073894236202, 'p': 17}
-
id: 143907
{'charpoly_factorization': [[[158708274695686899782926336, -12976508148353409289728, 1078046813779084176, -23802237628252, 1031880021, -1353, 1], 1]], 'hecke_orbit_code': 13511073894236202, 'p': 19}
-
id: 143908
{'charpoly_factorization': [[[365965426228917639590115803136, 4207638746546852212113408, 106831948462343341056, 537820853035392, 16292311216, 96628, 1], 1]], 'hecke_orbit_code': 13511073894236202, 'p': 23}
-
id: 143909
{'charpoly_factorization': [[[-1562207023529676, -42329802477, 114112, 1], 2]], 'hecke_orbit_code': 13511073894236202, 'p': 29}
-
id: 143910
{'charpoly_factorization': [[[21986367297082968059727122025, 1586023306055281797294675, 81582429363107310250, 2071547236864915, 38319464490, 221395, 1], 1]], 'hecke_orbit_code': 13511073894236202, 'p': 31}
-
id: 143911
{'charpoly_factorization': [[[2486253689951955915738489856, -368593302808031309371008, 42179936665609476336, -1947682899010612, 69885717381, 249987, 1], 1]], 'hecke_orbit_code': 13511073894236202, 'p': 37}
-
id: 143912
{'charpoly_factorization': [[[112733491462405632, -246861479088, -610926, 1], 2]], 'hecke_orbit_code': 13511073894236202, 'p': 41}
-
id: 143913
{'charpoly_factorization': [[[9544682120725684, 44856428808, -600243, 1], 2]], 'hecke_orbit_code': 13511073894236202, 'p': 43}
-
id: 143914
{'charpoly_factorization': [[[8961397436366702143395828508224, -350101229253402104448080544, 14046200522328777683616, 8411247323401176, 132108548904, -123114, 1], 1]], 'hecke_orbit_code': 13511073894236202, 'p': 47}
-
id: 143915
{'charpoly_factorization': [[[164256932483401812724593500301280656, -764815785157798704252057521628, 4778932252301561276182521, 6480840938081188248, 7141434259221, 3004752, 1], 1]], 'hecke_orbit_code': 13511073894236202, 'p': 53}
-
id: 143916
{'charpoly_factorization': [[[64183224105930368609829932418683396496, -24268428736779303483259848887628, 32032328221777706723783961, -7380708230694116802, 11168475780571, -2852938, 1], 1]], 'hecke_orbit_code': 13511073894236202, 'p': 59}
-
id: 143917
{'charpoly_factorization': [[[27877842389404332557603433010760537664, 26680321820998747214260101695136, 29047444889631667458249376, 7197604588650982696, 5495880318504, 665386, 1], 1]], 'hecke_orbit_code': 13511073894236202, 'p': 61}
-
id: 143918
{'charpoly_factorization': [[[1430588154001087394001978119372297940496, 1346499094538406318539071661430032, 868475556762552828676483796, 299785200015653565188, 75615201881861, 10545857, 1], 1]], 'hecke_orbit_code': 13511073894236202, 'p': 67}
-
id: 143919
{'charpoly_factorization': [[[-6267821997423708936, -13533913804452, 1019762, 1], 2]], 'hecke_orbit_code': 13511073894236202, 'p': 71}
-
id: 143920
{'charpoly_factorization': [[[1037123945301065527717713955555062363664, 79985381674556341714563254107904, 227027490214055780249011196, -81441958305907917256, 44548911194849, -6858031, 1], 1]], 'hecke_orbit_code': 13511073894236202, 'p': 73}
-
id: 143921
{'charpoly_factorization': [[[327275675855191225531876719035010908889, -502631269898207334954053082328419, 740772317642976917786188306, -84053704912865929019, 30752665042434, 1723021, 1], 1]], 'hecke_orbit_code': 13511073894236202, 'p': 79}
-
id: 143922
{'charpoly_factorization': [[[110255036506913718, -101207814603, -2635804, 1], 2]], 'hecke_orbit_code': 13511073894236202, 'p': 83}
-
id: 143923
{'charpoly_factorization': [[[2136915020188312451944431656587250171904, -1580955024067163172724253370522624, 1214766522213437513325774096, -59066712215725382784, 35152996220964, -976224, 1], 1]], 'hecke_orbit_code': 13511073894236202, 'p': 89}
-
id: 143924
{'charpoly_factorization': [[[-1885291350574760506, 3662425523813, 8485792, 1], 2]], 'hecke_orbit_code': 13511073894236202, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 4, 'label': '42.8.e.d', 'level': 42, 'portrait': 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', 'weight': 8}
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mf_hecke_traces • Show schema
Hide schema
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id: 141686000
{'hecke_orbit_code': 13511073894236202, 'n': 1, 'trace_an': 6}
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id: 141686001
{'hecke_orbit_code': 13511073894236202, 'n': 2, 'trace_an': -24}
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id: 141686002
{'hecke_orbit_code': 13511073894236202, 'n': 3, 'trace_an': -81}
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id: 141686003
{'hecke_orbit_code': 13511073894236202, 'n': 4, 'trace_an': -192}
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id: 141686004
{'hecke_orbit_code': 13511073894236202, 'n': 5, 'trace_an': 70}
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id: 141686005
{'hecke_orbit_code': 13511073894236202, 'n': 6, 'trace_an': 1296}
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id: 141686006
{'hecke_orbit_code': 13511073894236202, 'n': 7, 'trace_an': -895}
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id: 141686007
{'hecke_orbit_code': 13511073894236202, 'n': 8, 'trace_an': 3072}
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