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mf_newforms • Show schema
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{'Nk2': 34992, 'analytic_conductor': 175.98755954640694, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 6, 'char_parity': -1, 'char_values': [432, 6, [271, 325, 353], [6, 6, 5]], 'cm_discs': [], 'conrey_index': 17, 'dim': 16, 'field_disc': 12747010692347871233376826044264831707800323420585984, 'field_disc_factorization': [[2, 28], [3, 8], [409, 2], [599, 2], [6481, 2], [28657, 2], [1869719, 2]], 'field_poly': [81301302751102601946916438161, 62373298381917691066182105696, 16292568366453217677347743656, 1485002234815673954960734644, 35643731791394373752805382, -866018994869774202180460, -18744835998632687401792, 150983052056025751536, 3259352971808015407, -9458863275320348, -241960304158448, 239206241152, 8702363206, -1927740, -150208, -4, 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': [[5, [1925816581230580779635021524177577006250000, -61506542994323224682437845753754676250000, 760757888922018122732584619239381687500, -3384179244626140879556815857844237500, -3605758934922828268763506791091875, 57723978276847160230646365328250, 75340452287424478779334326825, -596779397583472942045309170, 366973426246918137348366, 1400197116338499695130, -984669738683922567, -2364572734738830, 2254411584990, 1688626926, -1655235, -882, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008298917364144, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 52216775542358336202495492096, 'hecke_ring_index_factorization': [[2, 32], [3, 40]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 4, -1, 6, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '432.9.q.c', 'level': 432, 'level_is_powerful': True, '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, 3], 'level_radical': 6, 'minimal_twist': '18.9.d.a', 'prim_orbit_index': 4, 'qexp_display': 'q+(74+37\\beta _{1}-\\beta _{3})q^{5}+(230+230\\beta _{1}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '8.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '432.9.q', 'trace_display': [0, 0, 882, 1846], 'trace_hash': 45529312280416623, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.097', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.308', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2.108', 'prec': 17}, {'__RealLiteral__': 0, 'data': '911.316', 'prec': 24}, {'__RealLiteral__': 0, 'data': '1067.435', 'prec': 27}, {'__RealLiteral__': 0, 'data': '105706.755', 'prec': 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 34992, 'analytic_conductor': 175.98755954640694, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 6, 'char_parity': -1, 'char_values': [432, 6, [271, 325, 353], [6, 6, 5]], 'conrey_index': 17, 'cusp_dim': 1116, 'dim': 94, 'eis_dim': 72, 'eis_new_dim': 4, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 1099662623152, 'hecke_orbit_dims': [14, 16, 16, 48], 'label': '432.9.q', 'level': 432, 'level_is_powerful': True, '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, 3], 'level_radical': 6, 'mf_dim': 1188, 'mf_new_dim': 98, 'num_forms': 4, 'prim_orbit_index': 4, 'relative_dim': 47, 'sturm_bound': 648, 'trace_bound': 5, 'trace_display': [0, 0, 3, 1], 'traces': [94, 0, 0, 0, 3, 0, 1, 0, 0, 0, -3, 0, -1, 0, 0, 0, 0, 0, 4, 0, 0, 0, -3, 0, 3359374, 0, 0, 0, 1897635, 0, 214177, 0, 0, 0, 0, 0, -4, 0, 0, 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mf_twists_cc • Show schema
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id: 41465227
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 305, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008298917364144, 'source_is_minimal': False, 'source_label': '432.9.q.c.305.1', 'source_level': 432, 'target_conrey_index': 305, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008298917364144, 'target_is_minimal': False, 'target_label': '432.9.q.c.305.1', 'target_level': 432, 'twist_class_label': '18.9.d.a.5.6', 'twist_class_level': 18, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 9}
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id: 41465228
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 305, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008298917364144, 'source_is_minimal': False, 'source_label': '432.9.q.c.305.1', 'source_level': 432, 'target_conrey_index': 65, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504699289993360, 'target_is_minimal': False, 'target_label': '144.9.q.b.65.5', 'target_level': 144, 'twist_class_label': '18.9.d.a.5.6', 'twist_class_level': 18, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 9}
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id: 41465229
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 305, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008298917364144, 'source_is_minimal': False, 'source_label': '432.9.q.c.305.1', 'source_level': 432, 'target_conrey_index': 35, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206309425206, 'target_is_minimal': False, 'target_label': '54.9.d.a.35.1', 'target_level': 54, 'twist_class_label': '18.9.d.a.5.6', 'twist_class_level': 18, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 9}
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id: 41465230
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 305, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008298917364144, 'source_is_minimal': False, 'source_label': '432.9.q.c.305.1', 'source_level': 432, 'target_conrey_index': 113, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504699289993360, 'target_is_minimal': False, 'target_label': '144.9.q.b.113.5', 'target_level': 144, 'twist_class_label': '18.9.d.a.5.6', 'twist_class_level': 18, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 9}
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id: 41465231
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 305, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008298917364144, 'source_is_minimal': False, 'source_label': '432.9.q.c.305.1', 'source_level': 432, 'target_conrey_index': 17, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008298917364144, 'target_is_minimal': False, 'target_label': '432.9.q.c.17.1', 'target_level': 432, 'twist_class_label': '18.9.d.a.5.6', 'twist_class_level': 18, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 9}
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id: 41465232
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 305, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008298917364144, 'source_is_minimal': False, 'source_label': '432.9.q.c.305.1', 'source_level': 432, 'target_conrey_index': 11, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 206309425170, 'target_is_minimal': True, 'target_label': '18.9.d.a.11.6', 'target_level': 18, 'twist_class_label': '18.9.d.a.5.6', 'twist_class_level': 18, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 9}
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id: 41465233
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 305, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008298917364144, 'source_is_minimal': False, 'source_label': '432.9.q.c.305.1', 'source_level': 432, 'target_conrey_index': 161, 'target_dim': 16, 'target_embedding_index': 9, 'target_hecke_orbit_code': 9007268125212834, 'target_is_minimal': False, 'target_label': '162.9.b.c.161.9', 'target_level': 162, 'twist_class_label': '18.9.d.a.5.6', 'twist_class_level': 18, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 9}
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id: 41465234
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 305, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008298917364144, 'source_is_minimal': False, 'source_label': '432.9.q.c.305.1', 'source_level': 432, 'target_conrey_index': 161, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007268125212834, 'target_is_minimal': False, 'target_label': '162.9.b.c.161.8', 'target_level': 162, 'twist_class_label': '18.9.d.a.5.6', 'twist_class_level': 18, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 9}
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id: 41465235
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 305, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008298917364144, 'source_is_minimal': False, 'source_label': '432.9.q.c.305.1', 'source_level': 432, 'target_conrey_index': 17, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206309425206, 'target_is_minimal': False, 'target_label': '54.9.d.a.17.1', 'target_level': 54, 'twist_class_label': '18.9.d.a.5.6', 'twist_class_level': 18, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 9}
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id: 41465236
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 305, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008298917364144, 'source_is_minimal': False, 'source_label': '432.9.q.c.305.1', 'source_level': 432, 'target_conrey_index': 5, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 206309425170, 'target_is_minimal': True, 'target_label': '18.9.d.a.5.6', 'target_level': 18, 'twist_class_label': '18.9.d.a.5.6', 'twist_class_level': 18, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 9}
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mf_hecke_charpolys • Show schema
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id: 880300
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 9008298917364144, 'p': 2}
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id: 880301
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 9008298917364144, 'p': 3}
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id: 880302
{'charpoly_factorization': [[[1925816581230580779635021524177577006250000, -61506542994323224682437845753754676250000, 760757888922018122732584619239381687500, -3384179244626140879556815857844237500, -3605758934922828268763506791091875, 57723978276847160230646365328250, 75340452287424478779334326825, -596779397583472942045309170, 366973426246918137348366, 1400197116338499695130, -984669738683922567, -2364572734738830, 2254411584990, 1688626926, -1655235, -882, 1], 1]], 'hecke_orbit_code': 9008298917364144, 'p': 5}
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id: 880303
{'charpoly_factorization': [[[1536278834767969750641907821446785336722822306250000, 11247979443948073459915810459548842563839856250000, 67273988689935376047630630802281609509131777500, 111505420521187038499039672340158896404402500, 158699495231289801571552499907333209029109, 91297004728529112066381594921722946378, 72682717345795683114237618228825049, 23399462970153350290419302312954, 20993084493357613343780656170, 4250786279304470346249578, 3436909012026831202309, 217157929707661614, 372865959826250, 3996335398, 25945389, -1846, 1], 1]], 'hecke_orbit_code': 9008298917364144, 'p': 7}
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id: 880304
{'charpoly_factorization': [[[52504428100410331772889568743246474047797514791179845153661561249, 31582345291762930873407031152276333440531644015498665103751412, 5698383489284479727977100137810678231568862651372346253616, -381400490597945486425130252513297558859759070984147968, -173236512211129734847420707841098493470508816231998, 3379904901858772571344872135065697434920892676, 3424906322323558289786611885127589532868256, -56461772681911925762701106758738532508, -33980244715454104698400241530425981, 943675487457871803197344382484, 233120154692355595841577888, -14267295536309831230380, -152733803440719582, 27097915550976, 105644016, -45756, 1], 1]], 'hecke_orbit_code': 9008298917364144, 'p': 11}
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id: 880305
{'charpoly_factorization': [[[2264884652627157181592290374413647364759454497404093052272999405916416, 593154196921247102855652659215097690158668118158714519396104866432, 119377673674814827801248796481445771707790175652229854942210736, 12786737885921888042237617361622276908411530612166155401128, 1183052690514734162900621278189742634165805615026189857, 63545949596284754840847833629005151247965505896458, 4126115755850648578897551269806389461562745861, 149724615671186032952474654151726599194390, 10603073828668892806170102484521274698, 192579210226534416054101429228626, 12010433067623176387601622733, 69642298876716230120730, 10367281565863608170, 18790214326286, 3740498037, 3370, 1], 1]], 'hecke_orbit_code': 9008298917364144, 'p': 13}
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id: 880306
{'charpoly_factorization': [[[12363141322344911763961329535685781642223851437777797969732099129988874240000, 0, 52508104011538750389448043013694648220795876223187587225778008883200, 0, 82673035752425301325596751359382255312001278209013676718336, 0, 63048421663272491818531131959933547232723727619840, 0, 25677063591492248656815242913915789265248, 0, 5755807063131450217594099638480, 0, 697026343864095491913, 0, 42263005590, 0, 1], 1]], 'hecke_orbit_code': 9008298917364144, 'p': 17}
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id: 880307
{'charpoly_factorization': [[[-1179205742652430911772575432222764066240, -153589720473608278663188970109763776, 312541634708556474200317602544, 56310490080207175670467072, 154443182869633342588, -5862540076416236, -26946353843, 181090, 1], 2]], 'hecke_orbit_code': 9008298917364144, 'p': 19}
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id: 880308
{'charpoly_factorization': [[[1295769475029405006378862093768183873814864264426679437620531960449460909044013182849024, -8728252042647909000134549075215456145742288361018639068585551189870682645463987200, -135376440298448022281457495555892299327534992538094597991192854663640724515520, 1043899830145289568263862983563854504482142366677638416377135060923806000, 14562764720376892745435816716296162959552573778138990984046362049113, -159603262981754097600741285210284012897893195627072268227843710, 426883246145139151551377905024316272092705430796856676893, 758277639019215824756842463981066630153154058648482, -4826884211261701134579442450580284592084120922, -3141629621909599696513472649724845394230, 49464475791567938010367640642666817, -59664609599863295289203190522, -137851648820303632065594, 283877869247668350, 356515039773, -1311138, 1], 1]], 'hecke_orbit_code': 9008298917364144, 'p': 23}
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id: 880309
{'charpoly_factorization': [[[731337190520015566829246057264447147124524452868256805790018753864782778802350925207062250000, 3856161093088594882976265946606656440437458479092359037063037975151339816861003185670000, 201599847735037023316178922027416678189924425494258621478963857058348817033676300, -34673259889317779752893923584629006828041260853375459925375844429332525836220, -22129824960218584622620898472526327477363216986164130615976161375355779, 233613702779756176229857338435092415321810605028832373345722123746, 340634380994233261245413726055039013718422218804435391706937, -632947131450076017327468492547018571288985949284113130, -1155013522686477205266610141386144234809684959458, 1378095172836080088444091665765026022690210, 2515987226313474535161177080036245785, -2321850551770960018101890931222, -2802922202288126050166034, 3023340904308585510, 1649610128781, -2851290, 1], 1]], 'hecke_orbit_code': 9008298917364144, 'p': 29}
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id: 880310
{'charpoly_factorization': [[[201240342584238472067154923566064015550441629371762507271905605419681336430648075550606336000000, -326945874090335483400061899892113795588297178049692295243779380797708451648512649610240000, 2440453748010610136312076733776766154625437086522138340633074858499691888118791993600, 1000138394871816547529700254399947409822765047462976748745535930836333224136480, 16483095461236443631580020516901084292634678066279824840691447128436326689, -50500196849315560220581229173951658854158596884127440763295229506, 31428884862405789236053444532106290787056611461721148387659129, 3494465920959983355677898886708288857441740125013927618, 38949999008562367747636640807375008042665751663734, 3629498435561108265188932125978457531286366, 29557238108104923766293023358361126597, 4017118059378792221185723442022, 15868590792537672365111366, 1583998952896074874, 5004693025929, 542438, 1], 1]], 'hecke_orbit_code': 9008298917364144, 'p': 31}
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id: 880311
{'charpoly_factorization': [[[-17635410061663224546496265973327628675872073849856, 123681374609497739336242384014625353959254016, -68646599093200547633401531254618573056, -108002987377621466818623421248256, 69032533577528100386587600, 25033293880605323264, -16415482431224, -1671664, 1], 2]], 'hecke_orbit_code': 9008298917364144, 'p': 37}
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id: 880312
{'charpoly_factorization': [[[2499915648655206224090211753777235201661591569944689534103065356465699385815463002161179433021890625, 54797916925757640365248134495798883724481347901517689624201484401231101005057745752523896320000, 443190506580745200412325259998221386712166118843840442099625474312127428437788421811729700, 938218111833834221704402698820416614384253607320301296009530192761207908086334996480, 856883967731103997716050409091655055267639813072106844962045274785670964355434, 272510507236914382975312752780683654827066902682315559270868415740875328, -100623683271245306333809483789678958521181840597624771173994498160, -64035777199333737117110185733417990958871386034124286667104, 53844599782466356009105285731317621896754121618240627, 64933978579751048026590605337131069789102311680, 26671527618694354306044047800823357118096, 4294324891814611996710140162065632, -280896078845125333565915094, -155565072335482858368, 11452334960484, 9218592, 1], 1]], 'hecke_orbit_code': 9008298917364144, 'p': 41}
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id: 880313
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id: 880314
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id: 880315
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id: 880316
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id: 880317
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id: 880318
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id: 880319
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id: 880320
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id: 880321
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id: 880322
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id: 880323
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id: 880324
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mf_newform_portraits • Show schema
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{'char_orbit_index': 17, 'hecke_orbit': 3, 'label': '432.9.q.c', 'level': 432, 'portrait': 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', 'weight': 9}
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mf_hecke_traces • Show schema
Hide schema
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id: 31799767
{'hecke_orbit_code': 9008298917364144, 'n': 1, 'trace_an': 16}
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id: 31799768
{'hecke_orbit_code': 9008298917364144, 'n': 2, 'trace_an': 0}
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id: 31799769
{'hecke_orbit_code': 9008298917364144, 'n': 3, 'trace_an': 0}
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id: 31799770
{'hecke_orbit_code': 9008298917364144, 'n': 4, 'trace_an': 0}
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id: 31799771
{'hecke_orbit_code': 9008298917364144, 'n': 5, 'trace_an': 882}
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id: 31799772
{'hecke_orbit_code': 9008298917364144, 'n': 6, 'trace_an': 0}
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id: 31799773
{'hecke_orbit_code': 9008298917364144, 'n': 7, 'trace_an': 1846}
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id: 31799774
{'hecke_orbit_code': 9008298917364144, 'n': 8, 'trace_an': 0}
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id: 31799775
{'hecke_orbit_code': 9008298917364144, 'n': 9, 'trace_an': 0}
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id: 31799776
{'hecke_orbit_code': 9008298917364144, 'n': 10, 'trace_an': 0}
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id: 31799777
{'hecke_orbit_code': 9008298917364144, 'n': 11, 'trace_an': 45756}
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