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mf_newforms • Show schema
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{'Nk2': 9072, 'analytic_conductor': 45.62640432684625, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 6, 'char_parity': -1, 'char_values': [112, 6, [15, 85, 17], [6, 6, 1]], 'cm_discs': [], 'conrey_index': 17, 'dim': 10, 'field_disc': -167994799503507473715140258967552, 'field_disc_factorization': [[-1, 1], [2, 12], [3, 5], [71, 2], [151, 2], [21383, 2], [56671, 2]], 'field_poly': [63214027776, 45666643968, 25685059104, 4552713792, 582209889, 41253567, 2229058, 59551, 1442, -1, 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': [[3, [4305702950244295227, -231644411683069149, 2785474876622049, 73631981184264, -709991029161, -14981776281, 169089741, 1317060, -14073, -81, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504836728946800, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 351298031616, 'hecke_ring_index_factorization': [[2, 12], [3, 6], [7, 6]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 4, -1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '112.9.s.b', 'level': 112, '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, 7], 'level_radical': 14, 'minimal_twist': '28.9.h.a', 'prim_orbit_index': 4, 'qexp_display': 'q+(6+5\\beta _{1}+\\beta _{2})q^{3}+(-112+56\\beta _{1}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '8.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '112.9.s', 'trace_display': [0, 81, -837, -1526], 'trace_hash': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 9072, 'analytic_conductor': 45.62640432684625, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 6, 'char_parity': -1, 'char_values': [112, 6, [15, 85, 17], [6, 6, 1]], 'conrey_index': 17, 'cusp_dim': 244, 'dim': 62, 'eis_dim': 24, 'eis_new_dim': 4, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 1237101576304, 'hecke_orbit_dims': [8, 10, 12, 32], 'label': '112.9.s', 'level': 112, '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, 7], 'level_radical': 14, 'mf_dim': 268, 'mf_new_dim': 66, 'num_forms': 4, 'prim_orbit_index': 4, 'relative_dim': 31, 'sturm_bound': 144, 'trace_bound': 1, 'trace_display': [0, 3, -3, -1502], 'traces': [62, 0, 3, 0, -3, 0, -1502, 0, 63422, 0, -9887, 0, 0, 0, 13126, 0, -3, 0, -57405, 0, 164285, 0, 325153, 0, 2428062, 0, 0, 0, -198916, 0, 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-260038051869, 0, -6347805852678, 0, 256689990049, 0, -2069352538914, 0, -5060753657858, 0, 0, 0, -11171063824764, 0, -4504235829801, 0, -4100652103389, 0, 1381186761728, 0, 3786732174464, 0, -882615588097, 0, 0, 0, -5934938202372, 0, -2225338622205, 0, 7707745967994, 0, 2583663945638, 0, -3126811349474, 0, 3407398039713, 0, 0, 0, 16074684712902, 0, 2118414688317, 0, 11882970727581, 0], 'weight': 9, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 37568932
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 33, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504836728946800, 'source_is_minimal': False, 'source_label': '112.9.s.b.33.2', 'source_level': 112, 'target_conrey_index': 33, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504836728946800, 'target_is_minimal': False, 'target_label': '112.9.s.b.33.2', 'target_level': 112, 'twist_class_label': '28.9.h.a.5.4', 'twist_class_level': 28, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 9}
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id: 37568933
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 33, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504836728946800, 'source_is_minimal': False, 'source_label': '112.9.s.b.33.2', 'source_level': 112, 'target_conrey_index': 5, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 481187332124, 'target_is_minimal': True, 'target_label': '28.9.h.a.5.4', 'target_level': 28, 'twist_class_label': '28.9.h.a.5.4', 'twist_class_level': 28, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 9}
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id: 37568934
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 33, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504836728946800, 'source_is_minimal': False, 'source_label': '112.9.s.b.33.2', 'source_level': 112, 'target_conrey_index': 17, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504836728946800, 'target_is_minimal': False, 'target_label': '112.9.s.b.17.2', 'target_level': 112, 'twist_class_label': '28.9.h.a.5.4', 'twist_class_level': 28, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 9}
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id: 37568935
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 33, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504836728946800, 'source_is_minimal': False, 'source_label': '112.9.s.b.33.2', 'source_level': 112, 'target_conrey_index': 145, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9008917392654588, 'target_is_minimal': False, 'target_label': '252.9.z.c.145.4', 'target_level': 252, 'twist_class_label': '28.9.h.a.5.4', 'twist_class_level': 28, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 9}
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id: 37568936
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 33, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504836728946800, 'source_is_minimal': False, 'source_label': '112.9.s.b.33.2', 'source_level': 112, 'target_conrey_index': 17, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 481187332124, 'target_is_minimal': True, 'target_label': '28.9.h.a.17.4', 'target_level': 28, 'twist_class_label': '28.9.h.a.5.4', 'twist_class_level': 28, 'twisting_char_label': '28.3', 'twisting_conrey_index': 3, 'weight': 9}
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id: 37568937
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 33, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504836728946800, 'source_is_minimal': False, 'source_label': '112.9.s.b.33.2', 'source_level': 112, 'target_conrey_index': 129, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 481187332292, 'target_is_minimal': False, 'target_label': '196.9.h.a.129.2', 'target_level': 196, 'twist_class_label': '28.9.h.a.5.4', 'twist_class_level': 28, 'twisting_char_label': '28.11', 'twisting_conrey_index': 11, 'weight': 9}
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id: 37568938
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 33, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504836728946800, 'source_is_minimal': False, 'source_label': '112.9.s.b.33.2', 'source_level': 112, 'target_conrey_index': 97, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 68870471876, 'target_is_minimal': False, 'target_label': '196.9.b.a.97.4', 'target_level': 196, 'twist_class_label': '28.9.h.a.5.4', 'twist_class_level': 28, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 9}
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id: 37568939
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 33, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504836728946800, 'source_is_minimal': False, 'source_label': '112.9.s.b.33.2', 'source_level': 112, 'target_conrey_index': 97, 'target_dim': 10, 'target_embedding_index': 7, 'target_hecke_orbit_code': 68870471876, 'target_is_minimal': False, 'target_label': '196.9.b.a.97.7', 'target_level': 196, 'twist_class_label': '28.9.h.a.5.4', 'twist_class_level': 28, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 9}
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id: 37568940
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 33, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504836728946800, 'source_is_minimal': False, 'source_label': '112.9.s.b.33.2', 'source_level': 112, 'target_conrey_index': 117, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 481187332292, 'target_is_minimal': False, 'target_label': '196.9.h.a.117.2', 'target_level': 196, 'twist_class_label': '28.9.h.a.5.4', 'twist_class_level': 28, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 9}
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id: 37568941
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 33, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504836728946800, 'source_is_minimal': False, 'source_label': '112.9.s.b.33.2', 'source_level': 112, 'target_conrey_index': 73, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9008917392654588, 'target_is_minimal': False, 'target_label': '252.9.z.c.73.4', 'target_level': 252, 'twist_class_label': '28.9.h.a.5.4', 'twist_class_level': 28, 'twisting_char_label': '84.59', 'twisting_conrey_index': 59, 'weight': 9}
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mf_hecke_charpolys • Show schema
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id: 323650
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 4504836728946800, 'p': 2}
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id: 323651
{'charpoly_factorization': [[[4305702950244295227, -231644411683069149, 2785474876622049, 73631981184264, -709991029161, -14981776281, 169089741, 1317060, -14073, -81, 1], 1]], 'hecke_orbit_code': 4504836728946800, 'p': 3}
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id: 323652
{'charpoly_factorization': [[[4137130570859290461939001875, -33594686141478886755088875, 95827489161816219992775, -39746058814580193270, -277882314887427237, 248983749198495, 751173109353, -873652230, -810267, 837, 1], 1]], 'hecke_orbit_code': 4504836728946800, 'p': 5}
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id: 323653
{'charpoly_factorization': [[[6366805760909027985741435139224001, 1685356630896222906261886580726, -1049811313639486011755033319, 352895021970992263686672, 16329836006199201318, -209768437334342796, 2832679914918, 10618835472, -5479719, 1526, 1], 1]], 'hecke_orbit_code': 4504836728946800, 'p': 7}
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id: 323654
{'charpoly_factorization': [[[433646676676025877829065942801272855625, -318586379952302488518284762401777875, 195499245855445328317148549819325, -44483755142037538465452613980, 9440553153440916971177661, 584119080669354271893, 142073667324328869, 2265611872032, 401686713, 3705, 1], 1]], 'hecke_orbit_code': 4504836728946800, 'p': 11}
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id: 323655
{'charpoly_factorization': [[[7305558085980957004295070046900217438011392, 0, 198945748025002851581146207743442944, 0, 1687396551813525348798695424, 0, 5182077234059079696, 0, 4263799464, 0, 1], 1]], 'hecke_orbit_code': 4504836728946800, 'p': 13}
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id: 323656
{'charpoly_factorization': [[[257905019245299988260470390572716686647966928643, -79250135176484923576977347039391743573825475, 7837043604288946302019926622211990081415, 86160731132659467804776754387248250, -1452976258065224839358069019573, -17535629633924713807906857, 255851138303183138409, 1502065287283914, -17228350635, -78003, 1], 1]], 'hecke_orbit_code': 4504836728946800, 'p': 17}
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id: 323657
{'charpoly_factorization': [[[388527978164108854635407362782999511020905526305547, -19243462837073735198125990517160678815129570361, 300603211385888606838210190698207755863077, 846995430149358543753171321853593252, -34464045233584833803723503150785, -56811672717487365846212721, 3051323998816625530821, 5855375420599176, -57406699509, -96741, 1], 1]], 'hecke_orbit_code': 4504836728946800, 'p': 19}
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id: 323658
{'charpoly_factorization': [[[3028310507000302790406231579651748985726028080593886841, 15846765061496560967592597590288929884705198253569, 178869976588962749611326257401353726081107457, 376069243808811214790200040621282828496, 4974562022173957840605798855874653, 11853358342739458260484442157, 66051495177240550116789, 57654704482745652, 295796002149, 208533, 1], 1]], 'hecke_orbit_code': 4504836728946800, 'p': 23}
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id: 323659
{'charpoly_factorization': [[[3591777608777471920867631808, 82213434582791892828768, 365110245396917640, -921101790060, -377382, 1], 2]], 'hecke_orbit_code': 4504836728946800, 'p': 29}
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id: 323660
{'charpoly_factorization': [[[18661371761089391925673921282280710015350381344998293448107, -50563647318601448806490480227086771873712359617564649, -41957346545671862394698662705832850720322982619, 237423970929146900349535813386462058323300, 110792300680469230854920771355480735, -894414391058798735408666286561, 432418788588605442280965, 1072697413581363528, -647906313621, -1053717, 1], 1]], 'hecke_orbit_code': 4504836728946800, 'p': 31}
-
id: 323661
{'charpoly_factorization': [[[8135585760683720172754615724273766810807779940610983064511041, -50444894530777288369274027586413876269002796098785981509, 289324591591108066551414788629070944365649478753775, -202859314980894532376531435704007567418476478, 248433810176835510606788342399077780269, 44596279520226540862693187466093, 91747157733240944474236653, 6408411825362856258, 11057152256943, 998075, 1], 1]], 'hecke_orbit_code': 4504836728946800, 'p': 37}
-
id: 323662
{'charpoly_factorization': [[[31284602543987005028346955055369158321391426762526923579486896128, 0, 23316353979716919945145705175627970320157402301267968, 0, 6286568907331170898293190338580449613824, 0, 785944817777921256447461136, 0, 45924266952552, 0, 1], 1]], 'hecke_orbit_code': 4504836728946800, 'p': 41}
-
id: 323663
{'charpoly_factorization': [[[176282091472335147308783823100000, 80638951679013612115895600, -64988524084922662976, -31935618972272, 369146, 1], 2]], 'hecke_orbit_code': 4504836728946800, 'p': 43}
-
id: 323664
{'charpoly_factorization': [[[3039117546936231075997633981773679288099628171393088766423546875, -47497719048903045519502141790313064627667061521853189050625, 247257423999563950645584559119488077151448194427417525, 2914427406819845759341837388853100990701140820, -24722923397386971955949573850073081522593, -196106333857552099134749727176121, 1980910962121534624771977717, -35379983228249243448, -49600614851493, 710883, 1], 1]], 'hecke_orbit_code': 4504836728946800, 'p': 47}
-
id: 323665
{'charpoly_factorization': [[[182342992534828818224004839875542657009965512541502521164927704254241, 34408598599842194943814934835979899232085080875781440610347, 18350851488766024999615792779253646608320385456273406799, -3737796694442753199504047846090085824462716294014, 1704655337842380031948494289883428989050637, -201467066331810575369149172243467875, 33393303056746702549154066157, -1265877781480633124862, 248554071653679, -10501461, 1], 1]], 'hecke_orbit_code': 4504836728946800, 'p': 53}
-
id: 323666
{'charpoly_factorization': [[[1647942408964703125256966060311105490787721562088385018472394194283, 6056367599709897937261755051755853464811500476089155431343691, 8913419842629334052867064007548623723751099448666719873, 5491163582059274218870657780406492295464924094408, 1395080298215577550576677312946150690092759, 7310369882008316582884512028046079, -27624944846899088516683953891, -175400253019777911948, 463262471283495, -37089081, 1], 1]], 'hecke_orbit_code': 4504836728946800, 'p': 59}
-
id: 323667
{'charpoly_factorization': [[[62470861160259899657261948315118117875467661298163693460340569418618003, 14314575578613254973315435230249902972463768551706612312715503313, 422702567593473110313703634287054795590393443865554905587, -153671599265385812820070276583893517952258361348434, -7245568585317539894151215016741275329965525, 1431459021074600199951956783756706975, 115190868906055243397517393753, -3281682922910248085442, -378853385942295, 8180481, 1], 1]], 'hecke_orbit_code': 4504836728946800, 'p': 61}
-
id: 323668
{'charpoly_factorization': [[[18156952646112385540686406626513313694096736703790309446805651680681, 29422371566528279924830260768400262629773973005390861315538457, 33787852116637917595846441218353642105519353202160905937, 17179559042998238718197617087318871404432716940032, 6103847220734595714113861196595079343194781, 1378872221401058360560428028852241637, 227384810636835964156672533381, 23500764206318904454740, 1680785033422677, 48020189, 1], 1]], 'hecke_orbit_code': 4504836728946800, 'p': 67}
-
id: 323669
{'charpoly_factorization': [[[1026482365462050855114055999874006112, 409805411716249832674963596528, 11054461470576485627232, -1655416268261280, -15959118, 1], 2]], 'hecke_orbit_code': 4504836728946800, 'p': 71}
-
id: 323670
{'charpoly_factorization': [[[5632893290449487875113247537433670428340051954588842817127704466196671875, 1715690827128644710872976111772173840148090564731875395287459895625, 192957999173663620020967997789122123931394363719300815721475, 5716186029366502010136785097199679688588966252129390, -392283166519374454476759440110758179220980613, -16810131215393701705819659756662284329, 2141916363197662610435413579065, 203688247970831557928382, 7454537132180457, 133345593, 1], 1]], 'hecke_orbit_code': 4504836728946800, 'p': 73}
-
id: 323671
{'charpoly_factorization': [[[1186776566773090390017503119253097190106684714701708384052366249175790260121, 137966074460347804501936180368681370150672975401682899915362994210737, 22452792137398733218985389433570334204738710932512952438933761, -437230934553238015618886553728549370709781472800116656, 50743082762638312622875684926863935434065593821, 438562676171727158263700196527220691005, 26007712832442248563104375734421, 132488323662868052487060, 7347968697126885, 53590181, 1], 1]], 'hecke_orbit_code': 4504836728946800, 'p': 79}
-
id: 323672
{'charpoly_factorization': [[[564871489886982159268374851294597175653674967544143931341886668567185056595968, 0, 928512675079388006894602628440988323170657576851749905698390016, 0, 564427625405085677684595989113326370706310365184, 0, 157982946799243149415954377494784, 0, 20533343760435360, 0, 1], 1]], 'hecke_orbit_code': 4504836728946800, 'p': 83}
-
id: 323673
{'charpoly_factorization': [[[32824962022787650003767866673367277706358877775868975097448279914795811123, -12825897056643794925068488934977587850899105686223763456873183236831, 1677407731340264318392334215883706300022274166410264181751059, -2693790345411337499445478749765737201132713361171730, -7169955908894387221811036694045965761124580597, 353346635021972233982588951635350063, 25773142686924715462501725957273, 1190143188888818001900030, 24350366415430953, 241368273, 1], 1]], 'hecke_orbit_code': 4504836728946800, 'p': 89}
-
id: 323674
{'charpoly_factorization': [[[24833011766685006435207641780015185892626595271079760149349637341009377165836288, 0, 20760459288008893641017299231299981883371953602265157502809735168, 0, 5789740795187756179772177138800510044949129549824, 0, 734854442854664882948835991151376, 0, 43865514686507112, 0, 1], 1]], 'hecke_orbit_code': 4504836728946800, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 19, 'hecke_orbit': 2, 'label': '112.9.s.b', 'level': 112, 'portrait': 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', 'weight': 9}
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mf_hecke_traces • Show schema
Hide schema
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id: 95588000
{'hecke_orbit_code': 4504836728946800, 'n': 1, 'trace_an': 10}
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id: 95588001
{'hecke_orbit_code': 4504836728946800, 'n': 2, 'trace_an': 0}
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id: 95588002
{'hecke_orbit_code': 4504836728946800, 'n': 3, 'trace_an': 81}
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id: 95588003
{'hecke_orbit_code': 4504836728946800, 'n': 4, 'trace_an': 0}
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id: 95588004
{'hecke_orbit_code': 4504836728946800, 'n': 5, 'trace_an': -837}
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id: 95588005
{'hecke_orbit_code': 4504836728946800, 'n': 6, 'trace_an': 0}
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id: 95588006
{'hecke_orbit_code': 4504836728946800, 'n': 7, 'trace_an': -1526}
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id: 95588007
{'hecke_orbit_code': 4504836728946800, 'n': 8, 'trace_an': 0}
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id: 95588008
{'hecke_orbit_code': 4504836728946800, 'n': 9, 'trace_an': 1902}
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id: 95588009
{'hecke_orbit_code': 4504836728946800, 'n': 10, 'trace_an': 0}
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id: 95588010
{'hecke_orbit_code': 4504836728946800, 'n': 11, 'trace_an': -3705}
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id: 95588011
{'hecke_orbit_code': 4504836728946800, 'n': 12, 'trace_an': 0}
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id: 95588012
{'hecke_orbit_code': 4504836728946800, 'n': 13, 'trace_an': 0}
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