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mf_newforms • Show schema
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{'Nk2': 3196, 'analytic_conductor': 6.3800471215003025, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[17, 1], [47, -1]], 'atkin_lehner_string': '+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [799, 1, [377, 52], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 20, 'field_disc': 30178847781591776709278706229014942097408, 'field_disc_factorization': [[2, 13], [13, 2], [37, 1], [158916718491731, 1], [3707274070138677043, 1]], 'field_poly': [63, 1289, 1589, -11299, -11129, 36738, 20659, -58070, -15132, 49829, 3411, -24559, 1280, 7128, -931, -1200, 221, 108, -24, -4, 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': [[2, [63, 1289, 1589, -11299, -11129, 36738, 20659, -58070, -15132, 49829, 3411, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'ALdims': [12, 20, 18, 11], 'Nk2': 3196, 'analytic_conductor': 6.3800471215003025, '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': [799, 1, [377, 52], [1, 1]], 'conrey_index': 1, 'cusp_dim': 71, 'dim': 61, 'eis_dim': 3, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33555231, 'hecke_orbit_dims': [1, 1, 2, 8, 12, 17, 20], 'label': '799.2.a', 'level': 799, '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': [17, 47], 'level_radical': 799, 'mf_dim': 74, 'mf_new_dim': 61, 'num_forms': 7, 'plus_dim': 23, 'prim_orbit_index': 1, 'relative_dim': 61, 'sturm_bound': 144, 'trace_bound': 5, 'trace_display': [-1, 0, 6, -16], 'traces': [61, -1, 0, 59, 6, 8, -16, 3, 69, 10, 4, 16, -10, 12, -4, 51, -3, -33, -4, -6, 0, -16, 0, -12, 55, 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-36, -20, -196, -78, 234, 96, -192, -104, 66, -332, -312, -4, 330, 507, 96, -22, -208, 0, 112, 68, -184, -12, -24, 24, 8, 24, -92, -236, 4, 138, -4, -391, -66, -408, 428, 18, 60, 132, 160, 172, -74, -80, -348, 404, 16, -110, -16, 278, -16, -28, -132, -324, 0, -210, -160, 200, 54, -40, -252, 86, 210, -256, 148, 150, 264, 164, 16, 134, 2, 228, 160, 22, -26, -168, 12, 376, -76, -96, -168, 312, 24, -492, 112, 60, 122, -34, -276, -52, 252, 164, 92, -540, 157, 36, 148, -190, 64, 176, -248, 247, 60, -100, -52, -28, -132, -388, -264, -118, -266, 224, 64, -354, 230, 44, 104, 636, -116, -18, -8, -180, -12, -372, 152, -32, 156, -12, 64, 492, -118, -284, 92, -412], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45521293
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 20, 'source_embedding_index': 19, 'source_hecke_orbit_code': 27021597797778207, 'source_is_minimal': True, 'source_label': '799.2.a.g.1.19', 'source_level': 799, 'target_conrey_index': 1, 'target_dim': 20, 'target_embedding_index': 19, 'target_hecke_orbit_code': 27021597797778207, 'target_is_minimal': True, 'target_label': '799.2.a.g.1.19', 'target_level': 799, 'twist_class_label': '799.2.a.g.1.19', 'twist_class_level': 799, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45521294
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 20, 'source_embedding_index': 19, 'source_hecke_orbit_code': 27021597797778207, 'source_is_minimal': True, 'source_label': '799.2.a.g.1.19', 'source_level': 799, 'target_conrey_index': 1, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 121597189972565015, 'target_is_minimal': False, 'target_label': '7191.2.a.bb.1.2', 'target_level': 7191, 'twist_class_label': '799.2.a.g.1.19', 'twist_class_level': 799, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1342975
{'charpoly_factorization': [[[63, 1289, 1589, -11299, -11129, 36738, 20659, -58070, -15132, 49829, 3411, -24559, 1280, 7128, -931, -1200, 221, 108, -24, -4, 1], 1]], 'hecke_orbit_code': 27021597797778207, 'p': 2}
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id: 1342976
{'charpoly_factorization': [[[-50176, 197632, 41728, -737408, 173824, 1147776, -358224, -952400, 306546, 460510, -148067, -134283, 43272, 23618, -7669, -2425, 795, 133, -44, -3, 1], 1]], 'hecke_orbit_code': 27021597797778207, 'p': 3}
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id: 1342977
{'charpoly_factorization': [[[468504, -1720968, -1964948, 7557516, 1528708, -12131764, 2202456, 8622044, -3552042, -2674360, 1663371, 319657, -358596, 9389, 38323, -5729, -1818, 482, 14, -13, 1], 1]], 'hecke_orbit_code': 27021597797778207, 'p': 5}
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id: 1342978
{'charpoly_factorization': [[[39194624, -74766336, -147650560, 138927104, 181907456, -107058304, -109683200, 44814848, 37384696, -11167052, -7665626, 1703316, 969767, -157855, -75869, 8581, 3565, -250, -92, 3, 1], 1]], 'hecke_orbit_code': 27021597797778207, 'p': 7}
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id: 1342979
{'charpoly_factorization': [[[-840672, -2156352, 10227644, 20484192, -45084192, -46490792, 91483228, 14612816, -64786472, 13550982, 13981567, -4933928, -1190025, 620519, 29580, -36090, 1215, 979, -74, -10, 1], 1]], 'hecke_orbit_code': 27021597797778207, 'p': 11}
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id: 1342980
{'charpoly_factorization': [[[341855232, -2269739008, 5242014976, -3768546048, -3075543680, 5432957696, -865352544, -1693580352, 534230284, 239549944, -93702627, -18254637, 8222532, 785791, -404559, -18725, 11279, 224, -166, -1, 1], 1]], 'hecke_orbit_code': 27021597797778207, 'p': 13}
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id: 1342981
{'charpoly_factorization': [[[1, 1], 20]], 'hecke_orbit_code': 27021597797778207, 'p': 17}
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id: 1342982
{'charpoly_factorization': [[[-212426752, -484913152, 12159473664, -16020749312, -6690625280, 15653983104, -499592416, -5380162256, 779012876, 875707380, -159587337, -74112165, 14532898, 3382332, -681615, -82782, 16825, 1022, -207, -5, 1], 1]], 'hecke_orbit_code': 27021597797778207, 'p': 19}
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id: 1342983
{'charpoly_factorization': [[[28273749216, -40786056800, -182770705340, -19554395260, 151326121636, 23340393536, -50002737380, -6093373232, 8188286440, 779096038, -744539933, -56932003, 39727492, 2444036, -1265932, -59987, 23624, 771, -238, -4, 1], 1]], 'hecke_orbit_code': 27021597797778207, 'p': 23}
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id: 1342984
{'charpoly_factorization': [[[-18834750816, 55308909296, -3035299464, -128244400456, 127104625420, -6963940056, -43466340400, 16669148544, 3327454084, -2973121932, 236318746, 181544984, -37628287, -3493176, 1605749, -53741, -27030, 2732, 105, -26, 1], 1]], 'hecke_orbit_code': 27021597797778207, 'p': 29}
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id: 1342985
{'charpoly_factorization': [[[53989720704, 3826286653696, -318790187092, -4999839875672, 546209306648, 2237810152940, -287310238248, -418253165304, 60409385700, 33631882286, -5120501893, -1364257894, 213562551, 30284564, -4827253, -371923, 60154, 2359, -387, -6, 1], 1]], 'hecke_orbit_code': 27021597797778207, 'p': 31}
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id: 1342986
{'charpoly_factorization': [[[-24561028045824, -15566745244672, 28597897018112, 17333621600512, -9421019792768, -6133727531392, 807595616800, 812081345088, 690573876, -51653969284, -2949157417, 1815186067, 157126897, -37329580, -3885427, 448460, 51624, -2922, -356, 8, 1], 1]], 'hecke_orbit_code': 27021597797778207, 'p': 37}
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id: 1342987
{'charpoly_factorization': [[[-1186572650892768, 2142353196584528, -896949042186024, -619091841407856, 757073985352660, -283279451034524, 20737379840612, 18818449973600, -6906284484228, 805418558780, 80312353962, -37259074642, 4309749401, -5855271, -51550210, 5424422, -129918, -18429, 1832, -69, 1], 1]], 'hecke_orbit_code': 27021597797778207, 'p': 41}
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id: 1342988
{'charpoly_factorization': [[[-256040410619904, -181039714177024, 226122746548224, 194567721021440, -15801025214208, -35576117587456, -1604189264288, 2925640181328, 259620715668, -133463773020, -14623637131, 3642619531, 442122039, -60541181, -7807246, 596293, 80156, -3176, -441, 7, 1], 1]], 'hecke_orbit_code': 27021597797778207, 'p': 43}
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id: 1342989
{'charpoly_factorization': [[[-1, 1], 20]], 'hecke_orbit_code': 27021597797778207, 'p': 47}
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id: 1342990
{'charpoly_factorization': [[[292510322688, -4505222447104, -12066296174592, 4251603743744, 8081612069376, -3132807082880, -1550538419264, 861291977600, 39827378260, -84744788548, 10577709569, 2465024300, -632635907, -43355, 11655879, -817589, -67956, 9353, -59, -29, 1], 1]], 'hecke_orbit_code': 27021597797778207, 'p': 53}
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id: 1342991
{'charpoly_factorization': [[[9255700325376, -85044350598144, -9014217273280, 169088687047712, -97489771209296, -40365465237584, 58733014216992, -22336629501936, 2769858129320, 476229349624, -191753605812, 16090255438, 1987791383, -474999183, 20002151, 2784678, -333472, 6248, 862, -55, 1], 1]], 'hecke_orbit_code': 27021597797778207, 'p': 59}
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id: 1342992
{'charpoly_factorization': [[[-1081102942846976, -218894469746688, 979506684179456, 412679187013632, -166137067115264, -97541805854208, 8096228499840, 8946625089792, 24817095520, -428707005584, -14507370940, 11881933440, 538884229, -194477568, -9742374, 1827551, 97170, -8937, -502, 17, 1], 1]], 'hecke_orbit_code': 27021597797778207, 'p': 61}
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id: 1342993
{'charpoly_factorization': [[[-10549877018624, 87035515416576, -234163751405568, 193835440346624, 66888485551872, -85578097246592, -11682858356864, 11473382672704, 1815342062084, -506223394788, -89804665417, 10856503262, 2091532788, -130715959, -26375057, 920800, 184819, -3591, -675, 6, 1], 1]], 'hecke_orbit_code': 27021597797778207, 'p': 67}
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id: 1342994
{'charpoly_factorization': [[[11040633234432, -108337415221248, -105502737780992, 467719424512384, -279869452073600, -66106604578880, 126966910926704, -52315196180576, 8511406752746, 280811104402, -329334178265, 45020603861, -3679839, -592025691, 51685666, 752088, -346395, 14937, 408, -47, 1], 1]], 'hecke_orbit_code': 27021597797778207, 'p': 71}
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id: 1342995
{'charpoly_factorization': [[[33934631146760248, 28577299509263808, -20589648474001588, -20926992901322032, 1787899683615636, 4338963320460544, 464256555644892, -278472786048000, -58958209472774, 3175912171090, 1630761975389, 58814358602, -16742610800, -1322774579, 66479859, 9289025, -9873, -28306, -562, 32, 1], 1]], 'hecke_orbit_code': 27021597797778207, 'p': 73}
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id: 1342996
{'charpoly_factorization': [[[847768509211648, -825679823011840, -1314391159002368, 787287286546304, 426210068710656, -211392872253760, -47511493992304, 23387927360160, 2162786319738, -1225556882442, -40702140749, 32017044843, 500693073, -458756865, -7190991, 3678204, 82513, -15400, -474, 26, 1], 1]], 'hecke_orbit_code': 27021597797778207, 'p': 79}
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id: 1342997
{'charpoly_factorization': [[[294085023744, 903607353344, -833049652480, -2903845145344, 1502149523968, 2151002596096, -860194293664, -447586175552, 173834258712, 35559269312, -14343999761, -1363300521, 569927918, 27620025, -11458106, -293548, 114956, 1521, -550, -3, 1], 1]], 'hecke_orbit_code': 27021597797778207, 'p': 83}
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id: 1342998
{'charpoly_factorization': [[[601505667559194624, 407630201235177472, -293840446216077312, -93747016319033344, 76589017933159424, -4169140502156288, -6290371504950528, 1695578492731648, -63302324133568, -43861019436448, 8827289296224, -535438756384, -45565395529, 10680837402, -794362933, 17364203, 1559261, -150322, 5925, -119, 1], 1]], 'hecke_orbit_code': 27021597797778207, 'p': 89}
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id: 1342999
{'charpoly_factorization': [[[69363006409178112, -20808496031909888, -25682075212381952, 5673858899939328, 3827054009668736, -598495125473024, -288986941182304, 33867363299072, 12278382063788, -1147579549544, -309772381883, 23858025040, 4760950637, -300233306, -44682384, 2188962, 249693, -8398, -766, 13, 1], 1]], 'hecke_orbit_code': 27021597797778207, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '799.2.a.g', 'level': 799, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 45081607
{'hecke_orbit_code': 27021597797778207, 'n': 1, 'trace_an': 20}
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id: 45081608
{'hecke_orbit_code': 27021597797778207, 'n': 2, 'trace_an': 4}
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id: 45081609
{'hecke_orbit_code': 27021597797778207, 'n': 3, 'trace_an': 3}
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id: 45081610
{'hecke_orbit_code': 27021597797778207, 'n': 4, 'trace_an': 24}
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id: 45081611
{'hecke_orbit_code': 27021597797778207, 'n': 5, 'trace_an': 13}
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id: 45081612
{'hecke_orbit_code': 27021597797778207, 'n': 6, 'trace_an': 11}
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id: 45081613
{'hecke_orbit_code': 27021597797778207, 'n': 7, 'trace_an': -3}
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id: 45081614
{'hecke_orbit_code': 27021597797778207, 'n': 8, 'trace_an': 12}
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id: 45081615
{'hecke_orbit_code': 27021597797778207, 'n': 9, 'trace_an': 37}
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id: 45081616
{'hecke_orbit_code': 27021597797778207, 'n': 10, 'trace_an': -2}
-
id: 45081617
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id: 45081819
{'hecke_orbit_code': 27021597797778207, 'n': 701, 'trace_an': -229}
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id: 45081820
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id: 45081821
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id: 45081822
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id: 45081823
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id: 45081824
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id: 45081825
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id: 45081826
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id: 45081827
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id: 45081828
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id: 45081829
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id: 45081830
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id: 45081831
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id: 45081832
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id: 45081833
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id: 45081834
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id: 45081835
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id: 45081836
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id: 45081837
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id: 45081838
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id: 45081839
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id: 45081840
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id: 45081841
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id: 45081842
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id: 45081843
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id: 45081844
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id: 45081845
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id: 45081846
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id: 45081847
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id: 45081848
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id: 45081849
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id: 45081850
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id: 45081851
{'hecke_orbit_code': 27021597797778207, 'n': 911, 'trace_an': -9}
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id: 45081852
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id: 45081853
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id: 45081854
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id: 45081855
{'hecke_orbit_code': 27021597797778207, 'n': 941, 'trace_an': -31}
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id: 45081856
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id: 45081857
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id: 45081858
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id: 45081859
{'hecke_orbit_code': 27021597797778207, 'n': 967, 'trace_an': 38}
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id: 45081860
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id: 45081861
{'hecke_orbit_code': 27021597797778207, 'n': 977, 'trace_an': -3}
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id: 45081862
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id: 45081863
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id: 45081864
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