# Stored data for newform 29.8.e.a, downloaded from the LMFDB on 19 April 2024.
{"label": "29.8.e.a", "space_label": "29.8.e", "level": 29, "weight": 8, "hecke_orbit": 1, "hecke_orbit_code": 275012124701, "dim": 96, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 14, "char_parity": 1, "char_degree": 6, "char_conductor": 29, "char_orbit_label": "e", "char_is_real": false, "Nk2": 1856, "analytic_conductor": 9.05916573903953, "level_radical": 29, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [29, 14, [2], [1]], "inner_twist_count": 2, "level_primes": [29], "conrey_indexes": [4, 5, 6, 9, 13, 22], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 16, "sato_tate_group": "7.2.3.c14", "trace_display": [-7, -7, 191, -667], "traces": [96, -7, -7, 709, 191, 1801, -667, 9086, 9103, -7, 4207, 0, 377, -7, -74473, -125851, 0, -194880, -7, 162901, 86933, 252614, 238675, -490819, -107349, 367017, 75593, 1397540, 379863, -175646, -143885, 473172, -1419437, -2314463, -1018325, 1720462, 662991, -2763860, 42189, 580601, 0, -3296492, -1587425, 2344398, 6508254, 0, 526673, 6175806, -1391517, -4194526, -68204, -7720808, 1762640, -2032428, 2655709, 17091081, 4906842, 13231229, -8638324, -9957136, 2797697, -884069, -20232301, -17528026, -7454088, -17541475, -4890949, 22029140, 13204429, 0, -1091301, 25137595, 14363636, 3185328, 0, -41019881, -25204627, -15753743, 31186057, 24146022, -29435757, -51438506, -8367235, 78906093, 41540198, 65794492, 11089375, 39260390, 6628699, 32127214, 24315293, -39469980, -31050649, -102445588, -75684679, -95069050, 38131380, 19581828, 0, -28517404, 95590131, 116834102, 2770135, 0, -215466195, -205782003, -3433613, 22241541, 86938998, -96895832, -12696487, -115223880, 124830293, 318474485, 68684186, 100057429, 28807634, -69899578, 35779828, 207726820, 53156483, -125191798, -177792460, -188668648, 9081996, 153293133, -48982003, 0, -120320669, 184536289, 67376239, 191355981, 0, -151993212, -88624781, -34923850, -60998560, -161965149, 13211923, -11133164, -160260221, 59118262, 183035335, 9986312, 209247033, -269840718, 312979177, 303763404, -281639233, -500487706, -264771237, 384390579, -14546434, -37857485, 257089413, 31120355, 0, -543934534, -212704303, -270917311, -58746807, 0, -316892051, 16388071, 36166175, -153419952, 8942129, 254173864, 221888803, 707526051, 752370052, 250530980, 364251774, 932947889, -404137472, 1039192567, 10013192, -25633211, 115084491, 274664927, 902007099, -1154293063, -629404983, -997298715, -847871367, 0, -596587906, -725706702, -976262847, -1289498131, 0, -1204309085, 624082361, 1194312086, 747528789, -294155478, 608761209, 1578483799, 204008315, -35674527, -1229527901, -422929974, 735946667, -1615493808, 796281801, -349246492, -18533311, 2297011863, 284339099, 3623782433, 305166939, 683424002, -1061597355, -2429692160, 0, -1890590971, -389202373, -2705347981, -1682603845, 0, -133264285, 2955105118, -449396081, -181878872, -267732874, 222626083, 1750674877, 880778633, 2200697695, -242332909, -1548583870, 1948308253, -731650238, 4965870063, 739080671, 254868792, 2626591755, 1664975436, 2737187257, -4207092603, -971361059, -2603533016, -4902401875, 0, -1679610920, -1522108238, -4022824197, -3457363052, 0, -4676103516, 1224491611, -1753936238, 1176326949, -458146054, 2580837880, 6413542613, 849456808, 2520248073, 865525073, -1088266624, 1684444804, -2085491844, 3922757699, 2274905206, -821708692, 4332771033, 1167275389, 5948598107, -2291520336, -1689489385, -940956429, -6514848326, 0, -7862621233, -111715247, -9708360452, -4456987383, 0, -6598413409, 5962947606, 1781074593, 1817763731, -811492591, 3913742000, 5019995384, 1964444841, 5107006926, 9473432395, 603518174, 9593091479, -4258549382, 8386566811, -1395913680, -1443494885, 3799642964, -2106621200, 10517677028, -6652708398, -2257567149, -5683765717, -5733787857, 0, -10008573221, -2517086250, -6144227341, -7626489044, 0, -15788783381, 2844141335, 204561776, 1047317299, -3215391258, -3040725436, 6531266244, 1952661169, 15850173521, 7298733708, 10926506698, 10526902835, -9505433716, 12321397361, 2206583589, 375163556, 4000964106, -4902083066, 14449848754, -9243750173, -8364810440, -5859289051, -20203153411, 0, -21983106591, -2136898869, -5025693127, -8081273617, 0, -11373309969, 3738109592, -1409246193, 1564159317, 251611615, -1587504642, 7574943817, 1399300805, 21126213528, 13862892995, 1928692124, 30410181290, -2592685694, 29388731190, 3849037430, -2205070556, 2332691327, -8091316776, 11177782375, -19660658647, -3621946200, 4300065259, -11892002773, 0, -15544526441, -4966463859, -15176881979, -8360006781, 0, -31169646746, 2937034779, -7329822587, -799283100, 295068654, 2407786619, 16111774130, 3312424863, 30043614230, 24919824090, 5279347578, 21608691769, -25699288284, 13131265049, 12554988278, 5247709619, 9299731890, -5414133969, 26024827765, -31680297425, -11408868601, -6753352137, -27205942099, 0, -53033896567, -1968543318, -19087813171, -13642654163, 0, -29332483873, 1512690620, 4150805885, 19552895474, 4901480375, 4617775638, 9072348873, 5939197138, 26144161099, 29847577606, -2129627434, 31024216745, -14947610982, 52803223914, -2906858493, -5174300593, 16213810859, -62051550, 21195484192, -39217119935, 3376088671, -16622527327, -28046175367, 0, -31431603375, 8303084293, -16477104175, -29968466232, 0, -54433137304, 1268597533, -657292711, -2845889725, 1334238115, 13570591137, 24849534085, 14403910049, 72528651160, 17852324847, 11149120150, 43114146727, -17887777178, 34383039201, -1422656039, 1041658617, 40636059137, -5221119161, 40683362452, -23175042793, -23395103381, -24083471951, -54877153716, 0, -60915869237, 6310175802, -49030040647, -23498253134, 0, -39457933823, 20640507111, -3409236627, -8409630138, -12297735025, -12732349870, 27101721844, 9160596604, 22875878473, 37172922276, -668596488, 51047233675, -3384436806, 65989008680, 12916746031, -7057267913, 23458055939, 5327235878, 45377877876, -35895253982, -8995796611, -21598696028, -49217039655, 0, -41862170581, -25801353081, -43766275413, -69756073980, 0, -32370415644, 20381684967, 11182910159, 9604725725, -5081528152, -2891987035, 62340147756, -3030437825, 61737960186, -4636900317, -1924446000, 21721862960, -40593259492, 63829273382, -25674582486, -10100327121, 49154703399, 9156795115, 77336294355, -3135816369, -17944094752, 392136717, -81876779222, 0, -69100867240, -39087886411, -47242504862, -21641674871, 0, -23162538833, 62660772671, -7233423820, 14304328122, -1242810061, 39144511146, 37845847791, 38522614568, 31485938204, 44347693054, 24402710022, 75370991032, -30427415008, 50100975162, -9447149915, 6698921941, 10592547686, 198187095, 67529927367, -44415914795, 14389104130, -57624786639, -37083295081, 0, -43696327919, -36970877342, -51630874589, -46125655229, 0, -93545423832, 39319361774, -24580870826, 907347147, -7962320502, 19885115026, 69007363566, 7807479349, -19771641309, 26148387020, -40506621922, 21888228047, -23732021690, 32658602599, 2451203678, -18173104881, 47784368800, -19539717283, 88483268904, -28066145779, -17876450401, -48697518800, -61030845190, 0, -77535488157, -17592184596, -73069254573, -39087427631, 0, 9760197069, 91754468197, -3259987971, 42821958074, -27220592780, 51597087214, 33303504864, 33494345876, 44583200298, 2833247641, -7057102202, 52068370356, -19173421818, 72770403671, 43519969339, -56741677519, 30863146767, 28343109187, 46540346953, -14611029174, 8271760331, -48490669696, -63165874415, 0, -34275501335, -11934897667, -44419185272, -19253061217, 0, -52035478166, 36212983373, 12594283487, -52922511061, -37094660921, 8645091995, 5616590314, -2753054441, 72094212953, 6569746505, 61946648034, 20319149033, -12338193062, 52860730377, 9347719094, 35653438936, 37999440788, -33071040006, 50424625624, 5248843558, -21492198865, 3085274045, -45213545209, 0, -961923610, 4444415045, -76575733619, -27730251649, 0, -8785060662, -59070522350, -19129036773, 23516648204, 21463201129, -46114953542, 31608427281, 9541731683, 19380818835, -26692690584, -29980296950, 1838139448, -61171275128, 32617552667, 33403893845, 32059945350, 43452589795, 65749267978, -12436277834, -73225344570, -28243306103, 41906236120, 12845158522, 0, 30755850043, 41175968582, -13582184455, -4878641968, 0, 10748517416, -19104015371, -6879292443, 74035882739, 37477997262, -9788626237, -28614310720, -58009028904, 58733650381, 7007316834, -126769264568, -20398658005, -40701009488, -84115496003, -55394146969, -29744269851, -44421751313, -61993816625, -93124578333, -25296833044, 2354156380, -23190701471, 115919668032, 0, 10507585541, 18191347517, 102181340408, 12524226095, 0, 13290206993, -97044917956, 23049535679, -18542734595, 51604974057, 15383100947, -13679937405, 61092988570, 29285663897, 84654877748, 186806966650, -18422540923, 104933499520, -8804586651, 47656495362, 40147500749, -55224602200, 36943617533, -64534861843, -28721694995, 29741037989, 116530405194, -23661983415, 0, 57283111584, 47658325484, 124239812949, 82416771357, 0, -90639192616, -72018074947, 20786360548, -66567629723, -2113110468, -86664542037, -154851378944, -109329940047, -186533860303, -21585334057, -1468051010, -100738348216, 74872884338, -92609392351, 65648923046, 90534823423, -126756602397, -29789790754, -157943886685, 59611001849, -55651763390, 72951538149, 142235875467, 0, 81763484472, 17828956649, 256375194866, 146249966298, 0, 105891442657, -129799613244, -2665041492, -11189302803, -9053325678, -77660401376, -133949256719, 12999550015, -35533589707, -70250800459, -19175088662, -15152872833, -36235254442, -178801978670, -468496987, -90683558273, -150525710867, -87582945037, -90133048815, 135886748515, 61840351777, 167289900470, 254661895635, 0, 102796843732, 89816827737, 84415655569, 165445706361, 0, 42521240468, -136935939847, 80818331667, -88587434943, 12703551682, -32753873897, -80201284977, -55130122436, -268161300064, -56427182385, 151982145012, -120974744899, 258084215292, -197779710933, -232522809617, 43839169967, -194040665310, -128063556813, -288686000387, 81285905491, 17459970096, 25226391351, 333328845360, 0, 155208752851, 111645856371, 208380554291, 123246747972, 0, 286340142354, -14231459228, -10512324603, 48937207711, 7718439908, -19446511562, -94301909401, -83158429241, -178462159456, -63716313605, 65859548920, -177320596066, 205113104790, -333488483216, 204565197277, 83952712152, -171474117553, 163582591669, -274551092083, 339055072076, 139560143657, 205606203530, 111192948797, 0, 360871748606, -39764183942, 128448473867, 252198590542, 0, 279938160775, -119001926001, 73238504441, -52080541338, -50831128763, 47489499747, -224234306951, -274410657831, -231954268112, -220605749119, -432665818088, -169891899545, -70288984128, -418806382435, -230403026231, -26435455041, -244499103925, -32940896173, -356627103018, 265515293043, -108184522332, 4514426301, 272431528285, 0, 295138954738, 83096734098, 334143410300, 52934678433, 0, 257790929641, -82208338268, 59700222672, -50239624722, 158764203057, 35139158046, -222785785240, 239228437161, -200955049267, -184606068878, 104921863006, -438715139054, 53324132834, -135410260181, 171385571133, 6580018793, -139285915432, 135713917774, -59326068563, 178113172160, 310198532499, 116519425351, 246344176533, 0, 400413850219, 19055934009, 99033489352, 315194771134, 0, 460278205177, -112912547279, -104432400718, -281686837292, -36819317343, -207190772459, -215485269169, -154709632459, -746714128951, -207171161281, -393882757122, -418631462093, 423227454664, -360207081990, -294883326738, 114568456277, -12182493845, -73486084978, -447143691025, 166899980709, 12590978252, -88650023357, 514861826017, 0, 880998490650, 78312129637, 403661837061, 105760386133, 0, 709310193053, 159564995660, 28497689345, 326156758571, 27099589068, 80119897987, -64758272405, 89588233375, -141711833578, -618643344130, 89898278244, -740802603078, 56199459986, -521957507001, 116526983790, -97398053816, 89062132399, 426733268465, -262182792958, 495715292702, 285435001566, 409404692536, 30111891061, 0, 382844631531, -146509213032, -31499561240, 335652018668, 0, 291199117790, -212708867413, -294208053231, -344766787400, -40972761159, 184573213057, -313482915852, -195642505478, -742735490420, -454811429072, 254223819396, -555189231557, 290104058820, -352764951693, -231288783845, 209950370147, -105326560826, -26857528611, -469380134247, 356651186843, -136894820720, -232356790029, 433162092440, 0, 548169593107, 71679540821, 429440754183, 28010067545, 0, 806456909468, -73218976054, 28342935620, 403947898263, 49738009273, -250703581465, -375761516777, 84093426781, -611222978863, -538060241432, -195211929244, -489806398896, 371481041354, -821410042971, 236490473065, -249563873856, -127091988335, 238854515835, -121114533366, 631212045541, 483655952621, 88854241665, 527327030846, 0, 486049739323, -74540347763], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": true, "level_is_prime_power": true, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 29, 5, 1, 14, 0]], "char_orbit_index": 5, "prim_orbit_index": 5, "minimal_twist": "29.8.e.a", "char_is_minimal": true, "conrey_index": 4, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}