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{'Nk2': 10044, 'analytic_conductor': 44.7470857278216, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [31, -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': [279, 1, [218, 127], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 1153258081517335151760, 'field_disc_factorization': [[2, 4], [3, 1], [5, 1], [1049, 1], [4580783609458751, 1]], 'field_poly': [275908, 410640, -260319, -18583, 12633, 256, -199, -1, 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, [420336, -115128, -240688, 30550, 10963, -903, -178, 7, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998237516055, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 2340, 'hecke_ring_index_factorization': [[2, 2], [3, 2], [5, 1], [13, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '279.6.a.f', 'level': 279, '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': [3, 31], 'level_radical': 93, 'minimal_twist': '31.6.a.b', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{2}+(19-3\\beta _{1}+\\beta _{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '5.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '279.6.a', 'trace_display': [-7, 0, -128, 88], 'trace_hash': 1563841676052936352, 'trace_moments': [{'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
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{'an_normalized': [[1.0, 0.0], [-1.5717243412125175, 0.0], [0.0, 0.0], [1.4703174047599221, 0.0], [0.6057598995399192, 0.0], [0.0, 0.0], [-1.0401725446719374, 0.0], [-0.7392093131570694, 0.0], [0.0, 0.0], [-0.9520875790373401, 0.0], [0.4769742082907981, 0.0], [0.0, 0.0], [1.2574608143574193, 0.0], [1.6348645075218489, 0.0], [0.0, 0.0], [-0.30848413401996966, 0.0], [-1.139154513426787, 0.0], [0.0, 0.0], [-0.1047510967423322, 0.0], [0.890659323399165, 0.0], [0.0, 0.0], [-0.7496719733012167, 0.0], [-1.3061456101975437, 0.0], [0.0, 0.0], [-0.6330549441093871, 0.0], [-1.9763817700464703, 0.0], [0.0, 0.0], [-1.5293837963845671, 0.0], [1.4739695541768754, 0.0], [0.0, 0.0], [0.1796053020267749, 0.0], [1.22406133547412, 0.0], [0.0, 0.0], [1.7904368771549828, 0.0], [-0.6300948161646549, 0.0], [0.0, 0.0], [1.2410516863720986, 0.0], [0.16463984851863075, 0.0], [0.0, 0.0], [-0.44778335927699897, 0.0], [-1.24817095405067, 0.0], [0.0, 0.0], [1.3944552316442151, 0.0], [0.7013034800715447, 0.0], [0.0, 0.0], [2.052900848715356, 0.0], [1.2357377062261858, 0.0], [0.0, 0.0], [0.08195892268929372, 0.0], [0.9949878649816535, 0.0], [0.0, 0.0], [1.8488665211532986, 0.0], [-0.5579900155448596, 0.0], [0.0, 0.0], [0.2889318484973663, 0.0], [0.768905232311784, 0.0], [0.0, 0.0], [-2.3166738265059577, 0.0], [-0.2795866887706287, 0.0], [0.0, 0.0], [-1.914357190724565, 0.0], [-0.282290025006308, 0.0], [0.0, 0.0], [-1.6154028620818062, 0.0], [0.7617193365805351, 0.0], [0.0, 0.0], [0.7181614560620704, 0.0], [-1.6749187078022254, 0.0], [0.0, 0.0], [0.9903353598378144, 0.0], [0.33567409289679767, 0.0], [0.0, 0.0], [0.14762956829859777, 0.0], [-1.9505911441738706, 0.0], [0.0, 0.0], [-0.1540173607079414, 0.0], [-0.4961354759807222, 0.0], [0.0, 0.0], [-0.5238739031532228, 0.0], [-0.18686731803359574, 0.0], [0.0, 0.0], [1.9617806704758887, 0.0], [0.5985951897787163, 0.0], [0.0, 0.0], [-0.690054123613856, 0.0], [-2.1916992303063525, 0.0], [0.0, 0.0], [-0.35258377690427783, 0.0], [-1.220357496338937, 0.0], [0.0, 0.0], [-1.3079762150954035, 0.0], [-1.920448623824217, 0.0], [0.0, 0.0], [-1.9422390322298193, 0.0], [-0.0634540138393315, 0.0], [0.0, 0.0], [1.0316024454858268, 0.0], [-0.12881683377031783, 0.0], [0.0, 0.0], [-0.9307917024933515, 0.0]], 'angles': [-0.39389024710745196, None, -0.20102593895000392, -0.3370501073689122, -0.21167426328325226, -0.1417874548044455, -0.3464465328843551, -0.2583396432703448, -0.36326022460903007, -0.11812446024020545, None, -0.1434595985982538, -0.35726415371043097, -0.12720834368623377, -0.1439981296913115, -0.2950006466568522, -0.2723219115505437, -0.453255808291393, -0.19154513577804397, -0.22316087746953553, -0.23824131759513711, -0.29218062525522265, -0.20162383350255428, -0.3544511909538629, -0.1637471531148846, -0.19367630755501936, -0.40272072483016325, -0.35168306780615377, -0.29586979260779184, -0.35774356414423375, -0.3419582468340998, -0.21817837297519316, -0.2983514080189494, -0.2648603093515717, -0.340624668600696, -0.38706192078339174, -0.3133596658679963, -0.15294367600887493, -0.1799978481195472, -0.40647592621897777, -0.25943871758005155, -0.3570605213522713, -0.15733998130764534, -0.24261606836726848, -0.4385110284855944, -0.17546788808273378, -0.19952796918254626, -0.20870509598352605, -0.13753148075867752, -0.33885435230007066, -0.12261123065557121, -0.3528623896762438, -0.1452284914792338, -0.2417290603528501, -0.2820119225537616, -0.3971893773976617, -0.24545974551860136, -0.31329059825806255, -0.20495247989513238, -0.3057578164509483, -0.37970316931826403, -0.2948253465149666, -0.2499594032792943, -0.2371331422759297, -0.2927061799407586, -0.23675959711925992, -0.2825132395534829, -0.07539538114436364, -0.3053569391204379, -0.1301015367451818, -0.3165158209144314, -0.25021632629660717, -0.2547673147796171, -0.16196570460111306, -0.31749997236859034, -0.2384472253718974, -0.36073328260866516, -0.16762864070334924, -0.25840072816394255, -0.21291982128771889, -0.2404572782260377, -0.321488696471186, -0.3104224137796852, -0.3436529032810455, -0.41748468666236094, -0.14536603562340844, -0.24796962287456537, -0.26451153781065184, -0.04901999354512318, -0.11463267630529599, -0.13245884810468264, -0.3515011592610435, -0.17751365155229443, -0.27681061742016577, -0.3556139464184829, -0.21029507064666453, -0.27864847802216536, -0.3637381407497215, -0.3555267060121021, -0.1875743538629055], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': -7.891015518618641, 'hecke_orbit': 6, 'hecke_orbit_code': 22517998237516055, 'label': '279.6.a.f.1.2', 'level': 279, 'weight': 6}
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mf_newspaces • Show schema
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{'ALdims': [10, 16, 20, 17], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [2, 2, 2, 2], 'ALdims_old': [26, 26, 22, 19], 'Nk2': 10044, 'analytic_conductor': 44.7470857278216, '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': [279, 1, [218, 127], [1, 1]], 'conrey_index': 1, 'cusp_dim': 156, 'dim': 63, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 100663575, 'hecke_orbit_dims': [4, 5, 5, 7, 8, 8, 10, 16], 'label': '279.6.a', 'level': 279, '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': [3, 31], 'level_radical': 93, 'mf_dim': 164, 'mf_new_dim': 63, 'num_forms': 8, 'plus_dim': 27, 'prim_orbit_index': 1, 'relative_dim': 63, 'sturm_bound': 192, 'trace_bound': 2, 'trace_display': [-10, 0, -44, -20], 'traces': 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mf_twists_cc • Show schema
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id: 45073161
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22517998237516055, 'source_is_minimal': False, 'source_label': '279.6.a.f.1.2', 'source_level': 279, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22517998237516055, 'target_is_minimal': False, 'target_label': '279.6.a.f.1.2', 'target_level': 279, 'twist_class_label': '31.6.a.b.1.7', 'twist_class_level': 31, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 6}
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id: 45073162
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22517998237516055, 'source_is_minimal': False, 'source_label': '279.6.a.f.1.2', 'source_level': 279, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4503599728033823, 'target_is_minimal': True, 'target_label': '31.6.a.b.1.7', 'target_level': 31, 'twist_class_label': '31.6.a.b.1.7', 'twist_class_level': 31, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 6}
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id: 45073163
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22517998237516055, 'source_is_minimal': False, 'source_label': '279.6.a.f.1.2', 'source_level': 279, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31525197492257264, 'target_is_minimal': False, 'target_label': '496.6.a.h.1.3', 'target_level': 496, 'twist_class_label': '31.6.a.b.1.7', 'twist_class_level': 31, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 6}
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id: 45073164
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22517998237516055, 'source_is_minimal': False, 'source_label': '279.6.a.f.1.2', 'source_level': 279, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503599728034567, 'target_is_minimal': False, 'target_label': '775.6.a.b.1.2', 'target_level': 775, 'twist_class_label': '31.6.a.b.1.7', 'twist_class_level': 31, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 6}
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id: 45073165
{'conductor': 93, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22517998237516055, 'source_is_minimal': False, 'source_label': '279.6.a.f.1.2', 'source_level': 279, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9007199355405249, 'target_is_minimal': False, 'target_label': '961.6.a.c.1.7', 'target_level': 961, 'twist_class_label': '31.6.a.b.1.7', 'twist_class_level': 31, 'twisting_char_label': '93.92', 'twisting_conrey_index': 92, 'weight': 6}
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mf_hecke_charpolys • Show schema
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id: 631600
{'charpoly_factorization': [[[420336, -115128, -240688, 30550, 10963, -903, -178, 7, 1], 1]], 'hecke_orbit_code': 22517998237516055, 'p': 2}
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id: 631601
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 22517998237516055, 'p': 3}
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id: 631602
{'charpoly_factorization': [[[6147184721424, -596790808368, -12826806008, 1905236564, 2175545, -1063324, -5962, 128, 1], 1]], 'hecke_orbit_code': 22517998237516055, 'p': 5}
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id: 631603
{'charpoly_factorization': [[[3372839891163008, 83430584930848, -11908436793868, -35656944380, 1695953045, 3708292, -73034, -88, 1], 1]], 'hecke_orbit_code': 22517998237516055, 'p': 7}
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id: 631604
{'charpoly_factorization': [[[-2909029513724375808, 257256842660098944, -3313667790193952, 5539344693856, 73734472496, -180915176, -477250, 574, 1], 1]], 'hecke_orbit_code': 22517998237516055, 'p': 11}
-
id: 631605
{'charpoly_factorization': [[[1840726155931712078720, -9056657666797563776, -202044523636303744, -152825836599232, 1392841549072, 68352704, -2191106, 122, 1], 1]], 'hecke_orbit_code': 22517998237516055, 'p': 13}
-
id: 631606
{'charpoly_factorization': [[[1654519679526228675811584, 461407330311301423872, -17755967430520083776, 9983443591536000, 18341678143680, -9114004320, -6831444, 1932, 1], 1]], 'hecke_orbit_code': 22517998237516055, 'p': 17}
-
id: 631607
{'charpoly_factorization': [[[-4460874616811233580998400, -31040567085470442922240, -18448733921107697120, 38917671768094608, 24794211679149, -14829301860, -9009326, 1796, 1], 1]], 'hecke_orbit_code': 22517998237516055, 'p': 19}
-
id: 631608
{'charpoly_factorization': [[[182057026428924659158745088, -643944971071414626582528, 817560808748840965120, -387832303099094528, -35639791908208, 85353657568, -14871052, -4136, 1], 1]], 'hecke_orbit_code': 22517998237516055, 'p': 23}
-
id: 631609
{'charpoly_factorization': [[[-4064779274097008628305136000, -1320426479937635750465280, 8204262971091614136320, 6843524244698121376, 996184348640512, -360465238128, -73621426, 5050, 1], 1]], 'hecke_orbit_code': 22517998237516055, 'p': 29}
-
id: 631610
{'charpoly_factorization': [[[-961, 1], 8]], 'hecke_orbit_code': 22517998237516055, 'p': 31}
-
id: 631611
{'charpoly_factorization': [[[-3520114621056640184232179804288, 1996334864716407230181825920, 603286974861033477865312, -154234120397702743904, -11978525744058184, 3442611097384, -10302182, -23674, 1], 1]], 'hecke_orbit_code': 22517998237516055, 'p': 37}
-
id: 631612
{'charpoly_factorization': [[[2917534491638017972983509849952, -62021921757607346772877296, -1510933265715097977308756, -545637906357175978288, -62503445551590487, 562036080668, 630613298, 44828, 1], 1]], 'hecke_orbit_code': 22517998237516055, 'p': 41}
-
id: 631613
{'charpoly_factorization': [[[33997835482046564173483228065536, 9218678044539133773228819328, -1650636478811197889896480, -495152149308019864672, 22728182431094728, 6523558980368, -280651694, -21058, 1], 1]], 'hecke_orbit_code': 22517998237516055, 'p': 43}
-
id: 631614
{'charpoly_factorization': [[[-3692986255084299676767645321756672, 1758284149641851537887042068480, -163550275573768385943645184, -5315581780815527996416, 913933804322310208, 880143845280, -1642513708, 5348, 1], 1]], 'hecke_orbit_code': 22517998237516055, 'p': 47}
-
id: 631615
{'charpoly_factorization': [[[859579533822116208934538773702656, -523464178446535706869284191232, -59279662430513425494760832, 4694505398164251068160, 500679445288477368, -11067886724376, -1328251446, 4926, 1], 1]], 'hecke_orbit_code': 22517998237516055, 'p': 53}
-
id: 631616
{'charpoly_factorization': [[[-128143788434537834875709425180800, -458197027608398709958327091520, -49362665829692513901066680, 4942789632824534791764, 433637273259386469, -16747622134260, -1183303662, 16944, 1], 1]], 'hecke_orbit_code': 22517998237516055, 'p': 59}
-
id: 631617
{'charpoly_factorization': [[[5224442212632837168605782811401600, -3417014184368081149942760439424, -69443373252461731904384000, 33784326271261063342464, 257179235200115760, -95741252911344, -603075362, 73682, 1], 1]], 'hecke_orbit_code': 22517998237516055, 'p': 61}
-
id: 631618
{'charpoly_factorization': [[[96098308583718618679060487049576448, 13976839889905923506040327372800, -115618105930323456771817472, -98539967862545579720704, -4464167459302095872, 18864963090560, 5667625552, 134768, 1], 1]], 'hecke_orbit_code': 22517998237516055, 'p': 67}
-
id: 631619
{'charpoly_factorization': [[[-54428560919855505238657457957498880, 13029706788392256991336120814592, 2225837097317184094338532736, -5960562761293449188240, -9843162232302580235, -315708640698732, 1159422218, 123724, 1], 1]], 'hecke_orbit_code': 22517998237516055, 'p': 71}
-
id: 631620
{'charpoly_factorization': [[[-2894814052089177418370175883737524992, 480452474859911471369581561948672, -2514404580728562040235696128, -807630046908057114426752, 9292236939264168992, 423882951792352, -5627401568, -70792, 1], 1]], 'hecke_orbit_code': 22517998237516055, 'p': 73}
-
id: 631621
{'charpoly_factorization': [[[-89025417678932426851759668345344000, -172458610250671841501787831577600, -6193306990992852913029057920, 311476695107623476493120, 11623248429461427536, -170963251251200, -6531843212, 26036, 1], 1]], 'hecke_orbit_code': 22517998237516055, 'p': 79}
-
id: 631622
{'charpoly_factorization': [[[-3539861991157672114353255047392217856, 600258320871734158044778775894400, -19498307483682410638775581088, -568715852569820957831904, 29445483482708326320, 16817467740504, -9791787834, 21882, 1], 1]], 'hecke_orbit_code': 22517998237516055, 'p': 83}
-
id: 631623
{'charpoly_factorization': [[[-225364836255642860850676911981139200, 73742444464212978173409234136320, 12991526494537807811200767040, -928386329341290058919936, -105220799179853216032, -2227260017979248, -6495724972, 164392, 1], 1]], 'hecke_orbit_code': 22517998237516055, 'p': 89}
-
id: 631624
{'charpoly_factorization': [[[34422691430731473219119036011060029536, -2084312869632854064277554631986032, -42867093087154725572252946964, 3457421853924939898167416, 18856684551334365601, -1565450006864764, -10668527078, 131948, 1], 1]], 'hecke_orbit_code': 22517998237516055, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '279.6.a.f', 'level': 279, 'portrait': 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', 'weight': 6}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 43727623
{'hecke_orbit_code': 22517998237516055, 'n': 1, 'trace_an': 8}
-
id: 43727624
{'hecke_orbit_code': 22517998237516055, 'n': 2, 'trace_an': -7}
-
id: 43727625
{'hecke_orbit_code': 22517998237516055, 'n': 3, 'trace_an': 0}
-
id: 43727626
{'hecke_orbit_code': 22517998237516055, 'n': 4, 'trace_an': 149}
-
id: 43727627
{'hecke_orbit_code': 22517998237516055, 'n': 5, 'trace_an': -128}
-
id: 43727628
{'hecke_orbit_code': 22517998237516055, 'n': 6, 'trace_an': 0}
-
id: 43727629
{'hecke_orbit_code': 22517998237516055, 'n': 7, 'trace_an': 88}
-
id: 43727630
{'hecke_orbit_code': 22517998237516055, 'n': 8, 'trace_an': -924}
-
id: 43727631
{'hecke_orbit_code': 22517998237516055, 'n': 9, 'trace_an': 0}
-
id: 43727632
{'hecke_orbit_code': 22517998237516055, 'n': 10, 'trace_an': 1581}
-
id: 43727633
{'hecke_orbit_code': 22517998237516055, 'n': 11, 'trace_an': -574}
-
id: 43727634
{'hecke_orbit_code': 22517998237516055, 'n': 12, 'trace_an': 0}
-
id: 43727635
{'hecke_orbit_code': 22517998237516055, 'n': 13, 'trace_an': -122}
-
id: 43727636
{'hecke_orbit_code': 22517998237516055, 'n': 14, 'trace_an': 309}
-
id: 43727637
{'hecke_orbit_code': 22517998237516055, 'n': 15, 'trace_an': 0}
-
id: 43727638
{'hecke_orbit_code': 22517998237516055, 'n': 16, 'trace_an': 833}
-
id: 43727639
{'hecke_orbit_code': 22517998237516055, 'n': 17, 'trace_an': -1932}
-
id: 43727640
{'hecke_orbit_code': 22517998237516055, 'n': 18, 'trace_an': 0}
-
id: 43727641
{'hecke_orbit_code': 22517998237516055, 'n': 19, 'trace_an': -1796}
-
id: 43727642
{'hecke_orbit_code': 22517998237516055, 'n': 20, 'trace_an': 37}
-
id: 43727643
{'hecke_orbit_code': 22517998237516055, 'n': 21, 'trace_an': 0}
-
id: 43727644
{'hecke_orbit_code': 22517998237516055, 'n': 22, 'trace_an': -9000}
-
id: 43727645
{'hecke_orbit_code': 22517998237516055, 'n': 23, 'trace_an': 4136}
-
id: 43727646
{'hecke_orbit_code': 22517998237516055, 'n': 24, 'trace_an': 0}
-
id: 43727647
{'hecke_orbit_code': 22517998237516055, 'n': 25, 'trace_an': 3308}
-
id: 43727648
{'hecke_orbit_code': 22517998237516055, 'n': 26, 'trace_an': -1524}
-
id: 43727649
{'hecke_orbit_code': 22517998237516055, 'n': 27, 'trace_an': 0}
-
id: 43727650
{'hecke_orbit_code': 22517998237516055, 'n': 28, 'trace_an': -21245}
-
id: 43727651
{'hecke_orbit_code': 22517998237516055, 'n': 29, 'trace_an': -5050}
-
id: 43727652
{'hecke_orbit_code': 22517998237516055, 'n': 30, 'trace_an': 0}
-
id: 43727653
{'hecke_orbit_code': 22517998237516055, 'n': 31, 'trace_an': 7688}
-
id: 43727654
{'hecke_orbit_code': 22517998237516055, 'n': 32, 'trace_an': -21045}
-
id: 43727655
{'hecke_orbit_code': 22517998237516055, 'n': 33, 'trace_an': 0}
-
id: 43727656
{'hecke_orbit_code': 22517998237516055, 'n': 34, 'trace_an': -24738}
-
id: 43727657
{'hecke_orbit_code': 22517998237516055, 'n': 35, 'trace_an': -25700}
-
id: 43727658
{'hecke_orbit_code': 22517998237516055, 'n': 36, 'trace_an': 0}
-
id: 43727659
{'hecke_orbit_code': 22517998237516055, 'n': 37, 'trace_an': 23674}
-
id: 43727660
{'hecke_orbit_code': 22517998237516055, 'n': 38, 'trace_an': 4289}
-
id: 43727661
{'hecke_orbit_code': 22517998237516055, 'n': 39, 'trace_an': 0}
-
id: 43727662
{'hecke_orbit_code': 22517998237516055, 'n': 40, 'trace_an': 36606}
-
id: 43727663
{'hecke_orbit_code': 22517998237516055, 'n': 41, 'trace_an': -44828}
-
id: 43727664
{'hecke_orbit_code': 22517998237516055, 'n': 42, 'trace_an': 0}
-
id: 43727665
{'hecke_orbit_code': 22517998237516055, 'n': 43, 'trace_an': 21058}
-
id: 43727666
{'hecke_orbit_code': 22517998237516055, 'n': 44, 'trace_an': -13168}
-
id: 43727667
{'hecke_orbit_code': 22517998237516055, 'n': 45, 'trace_an': 0}
-
id: 43727668
{'hecke_orbit_code': 22517998237516055, 'n': 46, 'trace_an': 6198}
-
id: 43727669
{'hecke_orbit_code': 22517998237516055, 'n': 47, 'trace_an': -5348}
-
id: 43727670
{'hecke_orbit_code': 22517998237516055, 'n': 48, 'trace_an': 0}
-
id: 43727671
{'hecke_orbit_code': 22517998237516055, 'n': 49, 'trace_an': 19356}
-
id: 43727672
{'hecke_orbit_code': 22517998237516055, 'n': 50, 'trace_an': -33242}
-
id: 43727673
{'hecke_orbit_code': 22517998237516055, 'n': 51, 'trace_an': 0}
-
id: 43727674
{'hecke_orbit_code': 22517998237516055, 'n': 52, 'trace_an': -60386}
-
id: 43727675
{'hecke_orbit_code': 22517998237516055, 'n': 53, 'trace_an': -4926}
-
id: 43727676
{'hecke_orbit_code': 22517998237516055, 'n': 54, 'trace_an': 0}
-
id: 43727677
{'hecke_orbit_code': 22517998237516055, 'n': 55, 'trace_an': -56892}
-
id: 43727678
{'hecke_orbit_code': 22517998237516055, 'n': 56, 'trace_an': 87652}
-
id: 43727679
{'hecke_orbit_code': 22517998237516055, 'n': 57, 'trace_an': 0}
-
id: 43727680
{'hecke_orbit_code': 22517998237516055, 'n': 58, 'trace_an': -25002}
-
id: 43727681
{'hecke_orbit_code': 22517998237516055, 'n': 59, 'trace_an': -16944}
-
id: 43727682
{'hecke_orbit_code': 22517998237516055, 'n': 60, 'trace_an': 0}
-
id: 43727683
{'hecke_orbit_code': 22517998237516055, 'n': 61, 'trace_an': -73682}
-
id: 43727684
{'hecke_orbit_code': 22517998237516055, 'n': 62, 'trace_an': -6727}
-
id: 43727685
{'hecke_orbit_code': 22517998237516055, 'n': 63, 'trace_an': 0}
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id: 43727878
{'hecke_orbit_code': 22517998237516055, 'n': 983, 'trace_an': 225970580}
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id: 43727879
{'hecke_orbit_code': 22517998237516055, 'n': 991, 'trace_an': 70872832}
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id: 43727880
{'hecke_orbit_code': 22517998237516055, 'n': 997, 'trace_an': 22801084}