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mf_newforms • Show schema
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{'Nk2': 684, 'analytic_conductor': 2.0708500091382565, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 18, 'char_parity': -1, 'char_values': [76, 18, [39, 21], [18, 5]], 'cm_discs': [], 'conrey_index': 13, 'conrey_indexes': [13, 21, 29, 33, 41, 53], 'dim': 18, 'field_disc': -541900460774357554038399304955926083, 'field_disc_factorization': [[-1, 1], [3, 27], [19, 2], [53, 2], [264724021, 2]], 'field_poly': [69312, 0, 2467872, 0, 8319228, 0, 8232133, 0, 3386277, 0, 647217, 0, 64261, 0, 3429, 0, 93, 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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 618525622348, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 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mf_hecke_nf • Show schema
Hide schema
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-
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{'Nk2': 684, 'analytic_conductor': 2.0708500091382565, 'char_conductor': 19, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 18, 'char_parity': -1, 'char_values': [76, 18, [39, 21], [18, 5]], 'conrey_index': 13, 'cusp_dim': 102, 'dim': 18, 'eis_dim': 36, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 618525622348, 'hecke_orbit_dims': [18], 'label': '76.3.j', 'level': 76, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 19], 'level_radical': 38, 'mf_dim': 138, 'mf_new_dim': 18, 'num_forms': 1, 'prim_orbit_index': 6, 'relative_dim': 3, 'sturm_bound': 30, 'trace_bound': 0, 'trace_display': [0, -6, 0, 9], 'traces': [18, 0, -6, 0, 0, 0, 9, 0, 6, 0, -15, 0, 51, 0, 21, 0, -45, 0, 30, 0, -63, 0, 48, 0, -54, 0, -198, 0, -39, 0, -108, 0, -105, 0, 51, 0, 0, 0, 48, 0, 54, 0, 75, 0, 288, 0, 339, 0, -24, 0, 360, 0, 69, 0, -51, 0, 510, 0, -483, 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-921, 0, 984, 0, 4785, 0, -4434, 0, 2721, 0, -4854, 0, -981, 0, -243, 0, -8928, 0, -5649, 0, -1881, 0, -6069, 0, -4539, 0, 0, 0, -6900, 0, 1035, 0, 4302, 0, 1215, 0, 3099, 0, 1017, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 66572
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 10, 'source_dim': 18, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '76.3.j.a', 'source_level': 76, 'target_char_orbit': 10, 'target_dim': 18, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '76.3.j.a', 'target_level': 76, 'twist_class_label': '76.3.j.a', 'twist_class_level': 76, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 66573
{'conductor': 19, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 18, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '76.3.j.a', 'source_level': 76, 'target_char_orbit': 10, 'target_dim': 18, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '76.3.j.a', 'target_level': 76, 'twist_class_label': '76.3.j.a', 'twist_class_level': 76, 'twisting_char_label': '19.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 66574
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 18, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '76.3.j.a', 'source_level': 76, 'target_char_orbit': 26, 'target_dim': 18, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '304.3.z.b', 'target_level': 304, 'twist_class_label': '76.3.j.a', 'twist_class_level': 76, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 66575
{'conductor': 76, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 18, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '76.3.j.a', 'source_level': 76, 'target_char_orbit': 26, 'target_dim': 18, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '304.3.z.b', 'target_level': 304, 'twist_class_label': '76.3.j.a', 'twist_class_level': 76, 'twisting_char_label': '76.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 66576
{'conductor': 19, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 18, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '76.3.j.a', 'source_level': 76, 'target_char_orbit': 3, 'target_dim': 18, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1444.3.c.c', 'target_level': 1444, 'twist_class_label': '76.3.j.a', 'twist_class_level': 76, 'twisting_char_label': '19.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 66577
{'conductor': 19, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 18, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '76.3.j.a', 'source_level': 76, 'target_char_orbit': 3, 'target_dim': 18, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1444.3.c.c', 'target_level': 1444, 'twist_class_label': '76.3.j.a', 'twist_class_level': 76, 'twisting_char_label': '19.f', 'twisting_char_orbit': 6, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 239675
{'charpoly_factorization': [[[0, 1], 18]], 'hecke_orbit_code': 618525622348, 'p': 2}
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id: 239676
{'charpoly_factorization': [[[25351947, 15462333, 52829334, 86993568, 75029787, 38132874, 8815600, -1037244, -1122870, -134565, 49944, -10329, -9158, -663, 579, 138, 15, 6, 1], 1]], 'hecke_orbit_code': 618525622348, 'p': 3}
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id: 239677
{'charpoly_factorization': [[[294796874304, -671961738816, 683484210432, -399293058240, 147174168600, -35720207550, 5657797405, -302688396, -83459277, 14779771, 188496, -533835, 170814, -2484, 2178, -83, 27, 0, 1], 1]], 'hecke_orbit_code': 618525622348, 'p': 5}
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id: 239678
{'charpoly_factorization': [[[44446758976, -169679588160, 783664154352, 475238221088, 485179613676, 34843057218, 45616766057, -746346624, 3336259878, -200995858, 127986468, -10826829, 3682079, -281592, 45999, -1822, 273, -9, 1], 1]], 'hecke_orbit_code': 618525622348, 'p': 7}
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id: 239679
{'charpoly_factorization': [[[423492482169, -2470947761763, 13248443642949, -7401073144248, 5009592611223, -223389995625, 387770036833, -16818901638, 18303286542, 67444360, 414602055, 7290945, 6761001, 214452, 64593, 2167, 426, 15, 1], 1]], 'hecke_orbit_code': 618525622348, 'p': 11}
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id: 239680
{'charpoly_factorization': [[[645464049285312, -2360547930919104, 3329945737897248, -2397004301983608, 1066748494874544, -327113111886696, 72384369790113, -11915537845851, 1588031957610, -201302250453, 27310862961, -3224525283, 276469353, -18339759, 1042569, -48738, 1935, -51, 1], 1]], 'hecke_orbit_code': 618525622348, 'p': 13}
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id: 239681
{'charpoly_factorization': [[[844355393617120641, -162252857912465187, 277463374023439476, -109022044548264858, 13880154865976928, 4351310619267249, -454032987887159, -74722715188377, 4919104806102, 412136029720, 60414425451, 2422855899, 50303340, 4947858, 722286, 35119, 1209, 45, 1], 1]], 'hecke_orbit_code': 618525622348, 'p': 17}
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id: 239682
{'charpoly_factorization': [[[104127350297911241532841, -8653242407028635030430, -577681833821025219483, 73911438407295380434, 1213013065907154447, -328794885147165354, -189400695033232, 1013564740339056, -1327681807701, -2828685593204, -3677788941, 7777447536, -4025872, -19359594, 197847, 33394, -723, -30, 1], 1]], 'hecke_orbit_code': 618525622348, 'p': 19}
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id: 239683
{'charpoly_factorization': [[[73735172150568778469376, -38948232688546158102528, 5745878275116139453440, 59024013099126257664, -16682523779288984832, 2098602780737853312, -18868237951436864, -11086215369190944, 1086752007221424, -52854358461464, 2377656507600, -93721539618, 2569758375, -67422195, 3153474, -81353, 2163, -48, 1], 1]], 'hecke_orbit_code': 618525622348, 'p': 23}
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id: 239684
{'charpoly_factorization': [[[170950797566669392293888, 46971175056952833469440, 11278911886942546271232, -6134112201248417664000, 899693485678013836608, -74914150891253746968, 4057817608990769841, -145389172302725589, 6172883514996129, -403919052145461, 15326693953236, -240185599992, -572499921, 142404948, -230616, 99033, 1335, 39, 1], 1]], 'hecke_orbit_code': 618525622348, 'p': 29}
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id: 239685
{'charpoly_factorization': [[[96928437947938754251968, 37993177219959527693472, 3110833669840461552528, -726419529732963943872, -82760862563443982628, 22178080427697923616, 5354215705390311369, 424558272892598847, 12674212527711321, -149738997345822, -16216987277529, 15907769334, 20472912201, 377504235, -6335910, -207360, 1968, 108, 1], 1]], 'hecke_orbit_code': 618525622348, 'p': 31}
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id: 239686
{'charpoly_factorization': [[[210490439864209539782934528, 0, 6715965232136906016030720, 0, 52837373170288177385472, 0, 176723198141705842752, 0, 314798978583602208, 0, 326575392438564, 0, 201689909991, 0, 71932221, 0, 13410, 0, 1], 1]], 'hecke_orbit_code': 618525622348, 'p': 37}
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id: 239687
{'charpoly_factorization': [[[4864811827863891712618207467, 115564879572583884598344672, -195626180658789713821608, 665215408435698256788990, 81793705017053749836924, 1991227958543470024566, -40415730969263718213, 7030708955884272060, 368765386446744396, -909237046544370, 33772677718662, 2578911821712, -57116908503, -67117248, 1040184, -255267, 4122, -54, 1], 1]], 'hecke_orbit_code': 618525622348, 'p': 41}
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id: 239688
{'charpoly_factorization': [[[7169153159324604253284649, -10892502469782716493876690, 5396677474708870537269930, -723045429348326869437351, 52185300093827419386180, -2362631828528240458395, 99340798471506768717, -3545694812094779316, 84304552742754621, -2381679245987638, 95052244080633, -1843321234188, 82861156017, -820786947, 18371001, -123417, 537, -75, 1], 1]], 'hecke_orbit_code': 618525622348, 'p': 43}
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id: 239689
{'charpoly_factorization': [[[135917098234730090496, -175502731183121608704, 241629565884756751872, -147427237777539699648, 48137582427306142176, 8302715013168275472, 1196708353734020545, -595870402277707551, 80308132596990966, -6693646881818969, 404690058903465, -17319592988919, 560958849279, -14680313577, 308361303, -4853438, 52263, -339, 1], 1]], 'hecke_orbit_code': 618525622348, 'p': 47}
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id: 239690
{'charpoly_factorization': [[[194093347768029395341877952, 39378484296017245579279680, -1810751137755769695305664, -9974861766874563783624, 98320509146002103040672, 124882404821561680308, -54603349243185742407, -13112289135675289188, 311215057521045174, -4180305303033966, 249822131396760, 1617822724437, 56176452618, 2833724790, -12734496, 327804, 7329, -69, 1], 1]], 'hecke_orbit_code': 618525622348, 'p': 53}
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id: 239691
{'charpoly_factorization': [[[3484773066487844708684896773843, -231052725299944507973913759483, 77584160078928515602698030918, 1284833221511717288050926246, 348513518724150512879381862, 37098991386048440070856503, 1825697439920150290339371, 52169940917268267139191, 911177941185817462476, 8473708809754091676, -8124192694903797, -1407982873724235, -19345053280296, -106694397882, 403319538, 12286623, 105843, 483, 1], 1]], 'hecke_orbit_code': 618525622348, 'p': 59}
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id: 239692
{'charpoly_factorization': [[[70573307019338444193856, 7702248546912921242880, 11150669443232169206592, 21354990946436880344, 310170244465583852184, -19104835694586512172, 1601932520781218909, 834921765294599427, 46665141704703270, -315436133715460, -62012230572300, 124506141918, 48997897463, -11766384, -14495964, -73906, 5883, 36, 1], 1]], 'hecke_orbit_code': 618525622348, 'p': 61}
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id: 239693
{'charpoly_factorization': [[[58215342152912148623147790528, -11952185425932905890501624704, 1992285144264552214071632544, -115252531520940838207837944, 5796838508627018535002424, 438026355813962931096456, 6650301698801091488529, -208203209626639515354, -7049210264074818360, -3002876719961526, 30465397480680, -10602211029219, 690099100614, 13716786654, 116267382, 977376, 4743, 87, 1], 1]], 'hecke_orbit_code': 618525622348, 'p': 67}
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id: 239694
{'charpoly_factorization': [[[2987278407311456947906916352, 29396218269498658584569856, -20988948725937058245018624, 5455147777690556867558400, 261336436654256098924032, -1377948924045486328320, 461744230380627904704, -243823470354130794048, 16131991759816923792, -463925649216453696, 5067525400591572, 24190687424916, 381524550651, 5037400611, 80957286, 3258459, 36315, 234, 1], 1]], 'hecke_orbit_code': 618525622348, 'p': 71}
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id: 239695
{'charpoly_factorization': [[[367456453663926434834157714293824, -11795947339483624884686994911232, -80224274732465966255297191776, 34357318181444693186581851864, 1287931988352455684287079736, 28120665770037412056581304, 497155826303775676278441, 5635950722337575012946, 70204047682945482105, 1232705094305879666, 16747431784113048, 228670600280226, 2547209096199, 12473361984, 192630477, 1702710, 7962, 132, 1], 1]], 'hecke_orbit_code': 618525622348, 'p': 73}
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id: 239696
{'charpoly_factorization': [[[1371717581900640577359552, -1786941130061189345678784, 157440881371078649292912, 286339968841607955277992, 54151263925791795915264, 4720415938037572652442, 303372827779965543855, 11317415770209495213, 597253243992207273, 24995769687700227, 1630819473994998, 27533065444200, 578980461963, -21029496066, 581690304, -8440755, 68253, -363, 1], 1]], 'hecke_orbit_code': 618525622348, 'p': 79}
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id: 239697
{'charpoly_factorization': [[[6192250024325555326401700999819641, -233776073396370989242928011329081, 12589014643812891941566893395211, -324357197119996628966599890378, 12657391388799385244347151973, -295532198944737989760949275, 7426295000915949184463803, -119848944057707045929782, 2038144710478417849458, -25677271736409973550, 350337898026756297, -3537648561707325, 36202550235279, -267656564628, 2114634591, -12125327, 77082, -279, 1], 1]], 'hecke_orbit_code': 618525622348, 'p': 83}
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id: 239698
{'charpoly_factorization': [[[262765106767555846653121306803, 183360786642959263036300966122, 419189538362699943254267349597, -93480888072357751428214095456, 9384805841588339771530776924, -574016568012768552186433752, 23825538016798835795279112, -706421472895304910596286, 15433910767986940961010, -254731978798275359448, 3254649743532377529, -33026936297135535, 273347777080500, -1891417265613, 11075436900, -54211440, 212943, -600, 1], 1]], 'hecke_orbit_code': 618525622348, 'p': 89}
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id: 239699
{'charpoly_factorization': [[[145339058018623419590017608848234907, -3756926626981987123491921411518412, -1432846297584105313235579490654, 1087491644367092206419757619097, 2064353291670466589329300932, -553854591116178945396400395, -9780451893558270121262193, -1967651700215880704580, 2937759666272456457177, 82061661031865153118, 1525760111860451127, 22059938962834452, 253969331531589, 2298167624205, 16099781319, 85169637, 323469, 801, 1], 1]], 'hecke_orbit_code': 618525622348, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 10, 'hecke_orbit': 1, 'label': '76.3.j.a', 'level': 76, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 39963000
{'hecke_orbit_code': 618525622348, 'n': 1, 'trace_an': 18}
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id: 39963001
{'hecke_orbit_code': 618525622348, 'n': 2, 'trace_an': 0}
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id: 39963002
{'hecke_orbit_code': 618525622348, 'n': 3, 'trace_an': -6}
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id: 39963003
{'hecke_orbit_code': 618525622348, 'n': 4, 'trace_an': 0}
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id: 39963004
{'hecke_orbit_code': 618525622348, 'n': 5, 'trace_an': 0}
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id: 39963005
{'hecke_orbit_code': 618525622348, 'n': 6, 'trace_an': 0}
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id: 39963006
{'hecke_orbit_code': 618525622348, 'n': 7, 'trace_an': 9}
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id: 39963007
{'hecke_orbit_code': 618525622348, 'n': 8, 'trace_an': 0}
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id: 39963008
{'hecke_orbit_code': 618525622348, 'n': 9, 'trace_an': 6}
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id: 39963009
{'hecke_orbit_code': 618525622348, 'n': 10, 'trace_an': 0}
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id: 39963010
{'hecke_orbit_code': 618525622348, 'n': 11, 'trace_an': -15}
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id: 39963011
{'hecke_orbit_code': 618525622348, 'n': 12, 'trace_an': 0}
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id: 39963012
{'hecke_orbit_code': 618525622348, 'n': 13, 'trace_an': 51}
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id: 39963013
{'hecke_orbit_code': 618525622348, 'n': 14, 'trace_an': 0}
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id: 39963014
{'hecke_orbit_code': 618525622348, 'n': 15, 'trace_an': 21}
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id: 39963015
{'hecke_orbit_code': 618525622348, 'n': 16, 'trace_an': 0}
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id: 39963016
{'hecke_orbit_code': 618525622348, 'n': 17, 'trace_an': -45}
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