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mf_newforms • Show schema
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{'Nk2': 450, 'analytic_conductor': 1.3624013218014845, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 25, 'char_degree': 8, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 20, 'char_parity': -1, 'char_values': [50, 20, [27], [7]], 'cm_discs': [], 'conrey_index': 3, 'conrey_indexes': [3, 13, 17, 23, 27, 33, 37, 47], 'dim': 16, 'field_disc': 1296288016000000000000, 'field_disc_factorization': [[2, 16], [5, 12], [9001, 2]], 'field_poly': [16, 0, 6560, 0, 15196, 0, 14480, 0, 7341, 0, 2130, 0, 351, 0, 30, 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': [[3, [130321, 81586, 42703, 686882, 469801, -288664, -46160, -21674, 16349, 1432, 250, -322, 76, -76, 22, -2, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 343647715378, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 25, 'hecke_ring_index_factorization': [[5, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 25, 6, -1, 20, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '50.3.f.a', 'level': 50, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '50.3.f.a', 'prim_orbit_index': 6, 'qexp_display': 'q+(\\beta _{1}+\\beta _{9})q^{2}+(-1+\\beta _{2}-\\beta _{3}+\\beta _{7}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '2.2.3.c20', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '50.3.f', 'trace_display': [-4, 2, 0, -2], 'trace_hash': 1671321717391293890, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.477', 'prec': 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mf_hecke_cc • Show schema
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'label': '50.3.f.a.37.1', 'level': 50, 'weight': 3}
-
mf_newspaces • Show schema
Hide schema
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mf_twists_cc • Show schema
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id: 3410835
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343647715378, 'source_is_minimal': True, 'source_label': '50.3.f.a.37.1', 'source_level': 50, 'target_conrey_index': 37, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343647715378, 'target_is_minimal': True, 'target_label': '50.3.f.a.37.1', 'target_level': 50, 'twist_class_label': '50.3.f.a.23.1', 'twist_class_level': 50, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 3410836
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343647715378, 'source_is_minimal': True, 'source_label': '50.3.f.a.37.1', 'source_level': 50, 'target_conrey_index': 337, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2199073587600, 'target_is_minimal': False, 'target_label': '400.3.bg.a.337.2', 'target_level': 400, 'twist_class_label': '50.3.f.a.23.1', 'twist_class_level': 50, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 3410837
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343647715378, 'source_is_minimal': True, 'source_label': '50.3.f.a.37.1', 'source_level': 50, 'target_conrey_index': 43, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007542902456570, 'target_is_minimal': False, 'target_label': '250.3.f.c.43.1', 'target_level': 250, 'twist_class_label': '50.3.f.a.23.1', 'twist_class_level': 50, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 3410838
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343647715378, 'source_is_minimal': True, 'source_label': '50.3.f.a.37.1', 'source_level': 50, 'target_conrey_index': 43, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343647715578, 'target_is_minimal': False, 'target_label': '250.3.f.a.43.2', 'target_level': 250, 'twist_class_label': '50.3.f.a.23.1', 'twist_class_level': 50, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 3410839
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343647715378, 'source_is_minimal': True, 'source_label': '50.3.f.a.37.1', 'source_level': 50, 'target_conrey_index': 207, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503943275086074, 'target_is_minimal': False, 'target_label': '250.3.f.b.207.2', 'target_level': 250, 'twist_class_label': '50.3.f.a.23.1', 'twist_class_level': 50, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 3410840
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343647715378, 'source_is_minimal': True, 'source_label': '50.3.f.a.37.1', 'source_level': 50, 'target_conrey_index': 93, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503943275086074, 'target_is_minimal': False, 'target_label': '250.3.f.b.93.2', 'target_level': 250, 'twist_class_label': '50.3.f.a.23.1', 'twist_class_level': 50, 'twisting_char_label': '25.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 3410841
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343647715378, 'source_is_minimal': True, 'source_label': '50.3.f.a.37.1', 'source_level': 50, 'target_conrey_index': 157, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343647715578, 'target_is_minimal': False, 'target_label': '250.3.f.a.157.2', 'target_level': 250, 'twist_class_label': '50.3.f.a.23.1', 'twist_class_level': 50, 'twisting_char_label': '25.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 3410842
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343647715378, 'source_is_minimal': True, 'source_label': '50.3.f.a.37.1', 'source_level': 50, 'target_conrey_index': 157, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007542902456570, 'target_is_minimal': False, 'target_label': '250.3.f.c.157.1', 'target_level': 250, 'twist_class_label': '50.3.f.a.23.1', 'twist_class_level': 50, 'twisting_char_label': '25.14', 'twisting_conrey_index': 14, 'weight': 3}
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id: 3410843
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343647715378, 'source_is_minimal': True, 'source_label': '50.3.f.a.37.1', 'source_level': 50, 'target_conrey_index': 23, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343647715378, 'target_is_minimal': True, 'target_label': '50.3.f.a.23.1', 'target_level': 50, 'twist_class_label': '50.3.f.a.23.1', 'twist_class_level': 50, 'twisting_char_label': '25.23', 'twisting_conrey_index': 23, 'weight': 3}
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id: 3410844
{'conductor': 100, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343647715378, 'source_is_minimal': True, 'source_label': '50.3.f.a.37.1', 'source_level': 50, 'target_conrey_index': 273, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2199073587600, 'target_is_minimal': False, 'target_label': '400.3.bg.a.273.2', 'target_level': 400, 'twist_class_label': '50.3.f.a.23.1', 'twist_class_level': 50, 'twisting_char_label': '100.23', 'twisting_conrey_index': 23, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 168400
{'charpoly_factorization': [[[16, 16, 8, 0, -4, 0, 2, 2, 1], 2]], 'hecke_orbit_code': 343647715378, 'p': 2}
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id: 168401
{'charpoly_factorization': [[[130321, 81586, 42703, 686882, 469801, -288664, -46160, -21674, 16349, 1432, 250, -322, 76, -76, 22, -2, 1], 1]], 'hecke_orbit_code': 343647715378, 'p': 3}
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id: 168402
{'charpoly_factorization': [[[152587890625, 0, -8544921875, 488281250, 498046875, -27343750, -12890625, 312500, 550000, 12500, -20625, -1750, 1275, 50, -35, 0, 1], 1]], 'hecke_orbit_code': 343647715378, 'p': 5}
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id: 168403
{'charpoly_factorization': [[[9353984656, -9951689536, 5293793408, 3964594128, 1590782936, -91692216, 37440680, 25730564, 8853449, -65362, 46730, 31392, 10331, 96, 2, 2, 1], 1]], 'hecke_orbit_code': 343647715378, 'p': 7}
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id: 168404
{'charpoly_factorization': [[[21080623380496, -13143660991888, 35843348883000, 8803542988880, 276418000080, -202203237924, 41078337892, 7446253000, 643569945, -10372630, 23444152, -1744476, 207750, -12380, 795, -32, 1], 1]], 'hecke_orbit_code': 343647715378, 'p': 11}
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id: 168405
{'charpoly_factorization': [[[7988627184595553521, -35931361228908934, 94674353299233588, -9561423901191808, 392146285088536, -45709083133784, 3402155575900, 231198901446, -9590896606, 486612302, 2956060, -5981912, 59771, 8344, -408, 8, 1], 1]], 'hecke_orbit_code': 343647715378, 'p': 13}
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id: 168406
{'charpoly_factorization': [[[12812949083687856016, 1014774036786893584, 308368914322568088, -6045270306974832, -3286592990030324, -315363468216496, -4757628788850, 1481701137454, 140989073349, 5691500468, 10514130, -9398988, -261154, 15576, 1597, 62, 1], 1]], 'hecke_orbit_code': 343647715378, 'p': 17}
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id: 168407
{'charpoly_factorization': [[[1508844029587515625, 787564666919562500, 86562513178362500, -12402240308493750, -1329859581490000, -760679155000, 24412962610750, -813322494750, -100236350350, 7195446050, 65258900, -23257650, 891685, -13290, 590, -30, 1], 1]], 'hecke_orbit_code': 343647715378, 'p': 19}
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id: 168408
{'charpoly_factorization': [[[58089393865918505281, 200313151026006940556, 226138833724403225473, 25347021435317910082, 1394815621989502521, 59175678870456396, 1503587110053590, 50564124126086, 1569460769239, -27296303548, 3369990360, 53428058, 627046, 111434, 932, 18, 1], 1]], 'hecke_orbit_code': 343647715378, 'p': 23}
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id: 168409
{'charpoly_factorization': [[[5211848717019390625, 9174961747071781250, 6240126560300825000, 2055310149211300000, 388435665172735000, 42748365173890000, 2302468023000500, 2778541240750, -4266623123350, -61224638650, 3933032600, 61774500, -1085765, -90780, 5900, -100, 1], 1]], 'hecke_orbit_code': 343647715378, 'p': 29}
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id: 168410
{'charpoly_factorization': [[[26080094242847104321, 8176540127214634752, -1083345328133202235, -1312601125942877490, 530976217243276075, -90514831211444774, 9107729900557602, -608691872962290, 32970184458015, -1382829607950, 50420547602, -1501535616, 38236610, -767510, 12300, -132, 1], 1]], 'hecke_orbit_code': 343647715378, 'p': 31}
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id: 168411
{'charpoly_factorization': [[[118313740001012617681, 49140678958217459144, 9673182512990562853, 1364436847069466798, 177533620110033281, 16180363144036344, 1026314844467360, 64636175266044, 3827343147569, 111398149528, 3670241750, 237547642, -4355784, -289454, 9322, -138, 1], 1]], 'hecke_orbit_code': 343647715378, 'p': 37}
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id: 168412
{'charpoly_factorization': [[[10663970302308749838736, -273436436998045900448, 775484979664733492560, 56216983090054748440, 18341243190213738880, 717063467336160016, 29215360285124502, 1353965439567490, 43826932841385, 506609644820, 9650198632, 723560234, 26000240, 434010, 5995, 88, 1], 1]], 'hecke_orbit_code': 343647715378, 'p': 41}
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id: 168413
{'charpoly_factorization': [[[4727898163680004708112656, -537018102134441116473184, 30498588594345603584288, -94425814172654011488, -6386725832800869544, -219789713504527744, 67107049403635440, 775951582388696, -459534187071, 252003176502, 54604201010, 1300911668, 15526291, 26984, 3042, 78, 1], 1]], 'hecke_orbit_code': 343647715378, 'p': 43}
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id: 168414
{'charpoly_factorization': [[[937716041040631282911121, -133755185831256127205646, 4037722293630072815283, 270563082162054259788, 5468965995077218786, 785047215507530374, 33314380364584335, 1637235922292464, 38117876788859, 235198019048, 19538988155, -206586698, -7384814, 354216, 4367, 22, 1], 1]], 'hecke_orbit_code': 343647715378, 'p': 47}
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id: 168415
{'charpoly_factorization': [[[172143459875930562398084161, 95863175431887075568096536, 14883748166662094306385863, 409396465818668558507892, 18747561659031904329161, -9324707789219302494, 4220192233858929450, -117454535164478884, 528057209805459, 33986595228082, -593347413380, 5929671718, 9873726, -823996, 16412, -182, 1], 1]], 'hecke_orbit_code': 343647715378, 'p': 53}
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id: 168416
{'charpoly_factorization': [[[3863510727679844871399390625, 64275778380081637604125000, -4618721643193598050878125, -327978955358861482668750, -546957614134175340000, 359655109325040208750, 12335186007542778625, 234133254404904500, 6131767817672775, 221399082670100, 5049103026425, 61849245150, 445510260, 3727220, 46695, 350, 1], 1]], 'hecke_orbit_code': 343647715378, 'p': 59}
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id: 168417
{'charpoly_factorization': [[[174070161058591485257166601, -39154734288164286305008218, 5026006484293595989022055, -421536681821049353614770, 25506145469468504399235, -1097193086532382135614, 36748629373128712022, -947970362384913480, 20113891592134095, -367044198792210, 5878249428182, -78546720396, 894218070, -8761980, 70140, -372, 1], 1]], 'hecke_orbit_code': 343647715378, 'p': 61}
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id: 168418
{'charpoly_factorization': [[[7334678224659394940852478736, -888277656908676214412930896, 25255068064089156049827528, 895645441069724791046688, 7626149598970953089016, 173415154478373530284, 1736939354663578040, -29982931684134756, -823985480528311, -24697537946842, -380172830290, -440276688, 44518216, 1047226, 14817, 112, 1], 1]], 'hecke_orbit_code': 343647715378, 'p': 67}
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id: 168419
{'charpoly_factorization': [[[1530073664433135852017317801, -141854131840584253938038478, 8906858332971088151514565, -510336830522588077285060, 32675379804847226559960, -678102254181637645414, 5223997405813495057, -5162128863416890, 7386894763968285, -7347696489860, 1826674766407, -13548001786, 278304460, -2107440, 22815, -122, 1], 1]], 'hecke_orbit_code': 343647715378, 'p': 71}
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id: 168420
{'charpoly_factorization': [[[212354257298772640445730961, -94779108615903853939776694, 5920508996833091324835173, 1018929826403396111208342, 62080990320662759585281, 2343851440830632342816, 62550154915055167980, 1333707168930054416, 24547391607024169, 385456193230942, 5137197935630, 61222905018, 651871916, 5659244, 40082, 248, 1], 1]], 'hecke_orbit_code': 343647715378, 'p': 73}
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id: 168421
{'charpoly_factorization': [[[27848877478137206407119390625, 420752044021498882139500000, -54000885242114379456637500, -1014140272877541873975000, 59881617227948109222500, 1330054848305498580000, -49657198434495451750, -2717002725278979000, 193869881268636150, -5659015269021800, 101593552281700, -1245201590600, 10817421085, -66741160, 283450, -760, 1], 1]], 'hecke_orbit_code': 343647715378, 'p': 79}
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id: 168422
{'charpoly_factorization': [[[8494783225569858593401, 3233206141263217116216, 1477831507084719776653, 29903608165071454972, 5829776628155135821, -329690819305411294, -27197519775407150, 810825426822026, 102593678228279, -5879284783928, 145377673880, -3263542462, 68179926, -847396, 8712, -132, 1], 1]], 'hecke_orbit_code': 343647715378, 'p': 83}
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id: 168423
{'charpoly_factorization': [[[10196472520460960141256250000, -5093762013020784496093750000, 777068510376958192813125000, -22932859027014619806250000, 256362033342871847000000, 2167259977337058437500, -66355118447163137500, -30487359906250000, 11119990000440625, -39668154187500, -380336620500, -43269206250, 1375958450, -18145500, 133765, -550, 1], 1]], 'hecke_orbit_code': 343647715378, 'p': 89}
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id: 168424
{'charpoly_factorization': [[[71568976766488645311780665481, -6929381606850304974472468356, -131922505378342347954888987, 12733038120867085070673858, 508394203331374351936386, 4573391845137897160314, 154179836062090444305, 529118994233692254, 8227666153581619, -16167233805602, 1479433141905, 36782468082, 525542446, 6165606, 47817, 292, 1], 1]], 'hecke_orbit_code': 343647715378, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 1, 'label': '50.3.f.a', 'level': 50, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 32214000
{'hecke_orbit_code': 343647715378, 'n': 1, 'trace_an': 16}
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id: 32214001
{'hecke_orbit_code': 343647715378, 'n': 2, 'trace_an': -4}
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id: 32214002
{'hecke_orbit_code': 343647715378, 'n': 3, 'trace_an': 2}
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id: 32214003
{'hecke_orbit_code': 343647715378, 'n': 4, 'trace_an': 0}
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id: 32214004
{'hecke_orbit_code': 343647715378, 'n': 5, 'trace_an': 0}
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id: 32214005
{'hecke_orbit_code': 343647715378, 'n': 6, 'trace_an': 4}
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id: 32214006
{'hecke_orbit_code': 343647715378, 'n': 7, 'trace_an': -2}
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id: 32214007
{'hecke_orbit_code': 343647715378, 'n': 8, 'trace_an': 8}
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id: 32214008
{'hecke_orbit_code': 343647715378, 'n': 9, 'trace_an': -40}
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id: 32214009
{'hecke_orbit_code': 343647715378, 'n': 10, 'trace_an': 10}
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