# Stored data for newform 37.8.a.a, downloaded from the LMFDB on 25 April 2024.
{"label": "37.8.a.a", "space_label": "37.8.a", "level": 37, "weight": 8, "hecke_orbit": 1, "hecke_orbit_code": 134217765, "dim": 10, "is_polredabs": true, "trace_hash": 830731774503813402, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-26941953024, 11292902208, 314897184, -394812000, -10527856, 4135692, 139726, -16962, -653, 24, 1]]], "qexp_display": "q+(-2-\\beta _{1})q^{2}+(-10+\\beta _{1}-\\beta _{7}+\\cdots)q^{3}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 2368, "fricke_eigenval": -1, "atkin_lehner_string": "-", "analytic_conductor": 11.558245942912505, "hecke_ring_index": 48, "level_radical": 37, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": 0, "analytic_rank_proved": true, "char_values": [37, 1, [2], [1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [37], "conrey_indexes": [1], "field_disc": 2265432374824176690776558583106944748347168, "field_disc_factorization": [[2, 5], [3, 4], [7, 1], [37, 1], [241, 1], [6526601, 1], [667728475423, 1], [3213011932233317, 1]], "field_poly": [-45399525376, -5929608704, 2143908736, 175732512, -39566544, -1367036, 291290, 4018, -905, -4, 1], "hecke_ring_index_factorization": [[2, 4], [3, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.696", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "217.330", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8391.136", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 10, "sato_tate_group": "7.2.3.c1", "atkin_lehner_eigenvals": [[37, -1]], "trace_display": [-24, -95, -624, -501], "traces": [0, 10, -24, -95, 602, -624, -777, -501, -3810, 6181, 8595, -8325, -19645, -17108, -65418, -55756, -56998, -72924, -156165, -47786, -226209, -65313, -138973, -148086, -68031, 108736, -60237, -87329, 219974, -164154, 78864, -189560, -30114, -179737, 532624, -705156, 1923693, 506530, 1256412, 1322800, 2936777, 814263, 3415826, -590572, 610311, -250574, 2903897, -1534185, 2082419, -214337, -2313525, 722138, 149159, -2518209, 1095990, -3482468, -3645834, -9225638, 5626023, -5894748, -1289832, -2569480, -863697, -2836574, -4093742, -6774600, 17251556, -6983232, -8114412, -11557564, 8982748, -5013963, -7567137, -11678449, -1215672, -6586901, 4912252, 1333113, -7352119, -3853378, -11975661, -7381718, 564093, -15677895, 4781738, 11909320, 34274010, -12611710, 14448317, -25836, 64591590, 12335744, 7579845, 4592632, 26251718, 11723664, 42299113, 4648834, 15230184, -16904018, 65422881, 5116125, 8225878, 57268, -12925719, 52647864, -1467004, -34230672, 25017086, 14627100, -50279877, -4812035, 50835970, -16232604, 71396902, -12617912, -57206325, -9492192, -21938754, -55689306, -40094368, 61768549, -78954975, -67639509, -72118485, -74384268, -124213922, 47546925, -18073842, 46955012, 28099362, -135842730, -156031756, -3164758, -134889165, -61869172, 58151900, -104039406, 83287415, -28285936, -251519556, 112932247, 38568688, -194913576, 15075813, 222260432, -67808121, -68727866, 30493106, 122603685, 33588526, 161732384, -96543252, 91995058, 49271616, 42065688, 213653717, -389339, -246210459, 376088889, 20496137, 56723118, 74827020, 32345092, 89993841, 636881134, 284873264, 28467666, 179017042, 154678240, -434590626, 147011076, -251768526, -143354421, -53457243, 293014905, 15727695, 385668528, -83852120, 37356834, -401389878, 97949043, -32966286, 300753368, -10810525, -31607472, 420081102, -9257858, -253204026, 244425765, 142207334, -214737516, -16629389, 118516906, -494754336, -303825312, 12385506, 42904425, -227718206, 40172782, -738560001, 341523324, -195940036, -614679426, 667353374, -84849048, -543927633, -570531344, -35655173, -142801314, -183876278, -547413349, 24067896, -200432727, 170907477, -79003104, -141596010, 50933636, -74573160, 266194703, -331848169, -392846640, -39357381, -658826541, 348549054, 777876541, -244830892, -428765856, -1499260922, 423425829, -115566090, -1321811367, 406305677, -138166122, 520270933, -345533924, -546532362, -159249016, 951084028, -885258, 1185406392, -127732088, 457912335, 16730812, 413949213, 122573436, 1102999149, -232972064, 579680973, 735261813, 995920720, -496955244, 1127804582, 1411537998, 1143814188, -1322690120, 149370914, 182984490, -394362236, -25377153, 468139890, 299631844, 1696758694, -699984669, 2397641312, -669339636, -236307060, -436585862, 402999423, 509332404, 628505529, -256862359, 355477716, 331023224, 1160703095, -1023657159, -2414484601, 228295532, -264404121, -898271412, 2005219716, 130871994, -623634532, -1941490860, 1260704040, 1128747616, 687595122, -394307931, 95791367, 1676491102, 873327690, -971775824, -1810694477, -438568512, 834278403, -921380928, -192987930, -483445873, 138871530, -1208264784, 99265950, -686061236, -389223066, 554996847, -283749196, 652544742, -1843574194, -1577231897, 1954998600, 2651681212, -3320544755, -2234009454, -2167874605, -924710714, 3771310632, -3635466288, -373971119, 122132772, -5887036198, -2583686802, 1757910843, 692996630, -2539468602, -2236191732, -1508910138, 1518478898, 388805268, -1643070378, -2276747061, 1446670497, -3566468823, -2700020506, -2612820912, 313086193, -1466315165, -151622304, -3546654650, 2249754035, 1013257827, 491995394, 2347648230, 3653427870, 1535014778, -1153724751, 3310799022, 7690312546, 1380399456, 1583060310, -4088105423, -359747784, -3034716348, 1320609040, -764265595, 4281359064, 1469835498, -320657796, 2167260396, 2661990430, 1720762530, 837704097, 6466608886, 3463177590, 2652361944, -1046200502, 2359771130, 5100589002, -7345065612, -509497336, 1684661097, 3388243806, 435362535, 285272199, -1119016218, -2150941477, 12471482046, 2969116944, -3912679466, 4315199418, -2227715758, 2880789411, 3186159774, -1809630567, -683549077, 3175122936, 998768561, 1823483456, -924097668, -8955811384, -1960352412, 3354755952, 2235879999, -1645661732, -2336810982, -3683887022, -2554731316, 1308336936, -5832434342, 3992325105, -3098678808, 2964384194, 2520665005, 4716377490, -5207265120, -5683109856, 4161244512, 1438385422, -6964264302, -421686225, -12460017910, 1802276930, 2784026424, 6628704122, -967372549, -2360041068, 6277116127, 4005669100, 467164761, -325113142, -21041511314, 6075352899, 9565631562, -1553135446, 305043621, -7589479798, -5907840012, -857791512, -5001671930, -3425525224, -4709469087, -2469125002, -17417026658, -1533796308, 1933366778, 1119953385, 12897308016, -2759584120, -3255975164, 26747640, -2753610082, 1365491840, -287437191, 1366311443, -5778462130, -11387465487, -995078185, -3798215204, 8020061022, -4083915701, 2426639178, 1588732920, -16568115910, 4856602065, 2092152360, -6439176400, -17724650, -3964400088, 15214876034, 1359331510, -5298350814, 53040350, -1588307818, -14430996354, 6796823118, 3958511802, 2659059399, 7742812850, -4988389169, -13358841102, -251710111, 11063981132, 3723035346, 9200749615, -29594982, 1409302824, 16436649051, 10629412930, -6242812836, -510495192, 7925484523, -2179681314, -4629578128, -866571524, 10984312956, -1154193894, 17165445065, 4108370040, 1775456394, -4715959494, 7565494011, 5948274184, 12568578791, -7498019208, -14772270351, -51490908, 27736853238, -2347090912, -5450191089, -8543055813, -12238252288, 11656992120, -6189100368, 1094479066, 7107382676, -8953572270, -11012968942, -5220037372, 1628261430, -170671805, 16932646564, -6109572237, 45601029680, 1983386857, 26844164718, -14790374198, 3651586748, -1236252936, 4236201732, -6427716887, -3313617954, 14775794861, 8103180966, -18108521655, 36596233689, 3926360540, -15330198594, 3732089757, -3691079030, -4867760808, -24625402472, -103914452, 23729947494, 5158787400, -602443236, -25007646750, 1063498744, -5421430672, -3344665047, -10123591246, -12317127160, 1084453578, -13569283131, -22894783660, -12165528972, 28148507877, 5671825692, 17814750456, -15261689032, 4118290756, -16111776789, 16894442546, -2229791153, -6402643764, 28328162705, 2425606146, -8305905069, -2824208668, -6023870869, 3441290466, -2811788028, 26470141208, -3273996708, -20543347154, 13376298204, -23948716200, 6214344980, -15471714712, -1994570502, 18251068147, 6813532524, -29192948058, -70119461008, 4361856359, -36811821966, -2853013308, -12484148322, -7219846626, -16131122675, -26933319840, -33062800968, -11367628760, 37980141754, -30133845525, 34851982566, -9710926349, 21178350513, -4564833786, 22244569046, -23881975206, -37957909545, 24739964332, -15970851828, -36051943045, -2887119694, -15078263841, 40298358797, 28622103640, 37425193614, 9421920922, -27032519715, 17592268257, 2363109078, 923661806, 13618168080, -5096052068, 32903858590, -5378086608, -31208489386, -2359227562, -19462910148, 7222855894, 16880326581, -1581999144, -24292085150, 5326861077, -21314468403, 11812422036, -21506191044, 8348722065, -19739094802, 33735842699, 18944581041, 23964510392, 14927321769, 34544007246, 6899359825, -17195962150, 2930067438, 43143718738, -50173051684, -3693819372, 25994842478, 58837617838, -8932524249, 30017035223, 27721884328, -23313527988, 62645014218, 4704473844, -19785304590, 14044420518, -59620081935, -3148887273, 35955288237, 16228017542, -5320668570, 11008912436, -34288238984, 2799160386, 4836997674, -545282172, 12154349076, -21818656564, -22739464012, -48752364168, 21444652406, 41298459416, 26038354929, -3524954524, 23261724364, 11498016213, 118550331785, -17097086322, -2541549300, 48576373368, 14046063204, -55219514136, -7910225745, 13046467116, 13817837535, -933968469, 68343247919, 284133576, -37013179462, 19077399479, 7057427391, 5258654077, -20369547599, -34877149989, 26152009514, 66450543008, -29619322230, -22526974400, -51730897051, -42208847604, 7861159842, 5909562406, 9598494840, 45563562003, -48143495942, -32756362536, -91773626487, 28931699064, -40210779900, 56333536866, -32452561358, 5113633728, -12169943233, 43576411974, -11151279702, 2392755678, 41580455164, -11116304388, -78794667139, -2420504258, 18370100559, 35927257624, -14430999042, 21988079529, 40186428378, -35144198914, 12295481178, 39601601216, -50241186380, -20336428584, -116457776396, 71310258472, 6340834938, -63198571522, -61858168964, 6991502211, -95006204022, 7047111152, 6085304352, -5306239082, -27928822420, -49815121608, -120868179488, 9768889566, 41827526070, -51330802208, -13665398143, -23171196552, 89331735708, -5867957683, 48631996746, 46791939480, -52854425917, -4679964054, -67266841023, -49717599781, -11458164477, -13532760116, 42076007008, -10069152711, 48670406690, -34005714624, -31810853598, -16529459958, -26508315690, 4186107336, -11780157029, 8753067645, 49178814642, 60741498548, -36994248121, -53838021960, -22505292982, -41144195074, 48919221093, -16180472838, 14193573874, 11379571197, -80313704634, -58150402238, 33493422471, 46261461476, -86653366232, 59373325416, -28436728885, 37006223012, 114983158482, 86667974088, 14060444704, -43216906083, 95966665784, -16089634848, -11574539868, -3308299389, 55477784003, 21370927794, -95472540421, 59782041659, 108526894698, -3854019802, 42386185614, 63809038716, 6297575362, -53119322713, 16831196832, 39682605427, 54675133758, 31356486486, -6143076698, -12251943000, -88450507686, -28726656900, 29764975040, 10640286924, 135411512644, -45420753058, -14901460161, -16908722674, 69955316162, -43052349963, 59691556296, 10897472156, 133385265000, 3009975294, 46987411332, -8572283556, -73890191958, 4206900619, -15360701718, 21347503145, -7039399369, 3456452760, 111099576126, -45073732352, 189393074598, -18122800464, -73521995448, -1645932153, -81694833178, 81371497344, 7658456877, -104374540077, 105573070692, 16558205094, -56081475797, -65761715556, -2575537272, -38134651840, 36794215763, -51217577346, 41420190747, -59650672880, 25807612878, -82309676522, 18516805567, 87103530096, -90609109674, 88852877540, 59256539829, -21154471376, -81607554943, 27231697710, 34220499412, -62273120854, 101485441116, -80985977172, -47685712546, -7501000158, -38816867730, 19072072182, 44431743036, 124181438840, -1082804881, -62451731784, 112606781607, -50061089742, 141909462774, -46416865971, -102645539828, 70888428840, -32271672242, -37529583500, -36584732133, -138194606669, -13917617696, 37096968594, -138180937685, 11675151120, 100781779116, -15613865514, -170610332438, -77337669408, 129309631366, -25017273656, 82556531409, -4901007554, 5100055883, 5475960438, 101448254787, 9631311652, -6122900346, -44453199756, -37771497451, -80794177359, -3445974243, -79295891685, 186308596884, -60578494733, -95378120402, 64394809074, -132046898250, 102843336448, 86292062910, -29040834376, -134413989892, -156970894824, 179027212472, 48862117358, -1866258852, 25286424220, -21393344248, -93097882776, 6070971648, -111491927840, 17495000334, -24923488596, -105192467822, -39856567368, -52909614298, 26827508711, 4533816270, -150950681800, -71096756154, -6344583606, 61184444428, -36802776444, -69088173390, -93971887211, 65231629304, -58410933480, -257930454962, 5507804608, -81379306683, -9570982932, -27171786483, 289297986, -73456815707, 42493550900, 66218870907, 152196093276, -142552912360, 130485135408, -83514109865, 86536927233, 42880297932, -84430845728, -28073034246, -39771445176, -118979718230, 33009774882, 16443104622, 44540089836, 63764997662, -134835381330, -87496042133, 44971118892, 63074008434, 157986105446, 116638509532, 55868361609, -76129317866, -137629339192, 76060149303, 172755197220, 196549943323, 11079695334, 34599783112, -3874643744, -3051184761, -39853626548, -58847555584, -14435154756, 166969399632, 146657488686, -70411119045, 78754607268, -22069946306, 22644258216, 68895601250, 94925494456, 110786871108, 140462660840, -33270502311, 59136785838, 50650259162, -110851327618, 22917702195, 85119645862, 56788292395, -29791341207, 58815766467, 55679659052, -68832531882, -15095502351, -41837507058, 69739123536, -176331699399, 162789281124, 54430476813, 169185988790, -22199865400, -58670177184, -70191947080, 14510138420, 11364554814, -4423475837, 51315564456], "weight_parity": 1, "has_non_self_twist": 0, "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]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "37.8.a.a", "char_is_minimal": true, "conrey_index": 1, "id": null, "nf_label": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, -1, 0, 0, 0, 0, 0, 0, 0, 0], [-10, 1, 0, 0, 0, 0, 0, -1, 0, 0], [59, 3, 0, 0, 0, 0, 1, 1, 0, 0], [-60, -5, 0, 0, -1, 0, -2, 1, 0, 0], [-82, 13, 0, -1, 3, 0, -2, 9, 0, 0], [-62, 32, -1, 4, 1, -1, -1, 6, 0, 0], [-380, -8, 4, -1, -2, 5, -4, 0, 0, -1], [587, 79, 1, -8, -6, -4, 8, 9, -1, 6], [807, 166, -13, 7, -6, -11, 9, 7, 7, -8], [-875, 87, -4, -16, 23, 14, 14, 17, -13, -12], [-2052, 163, 1, 13, -32, -5, 0, -120, -11, 28], [-1732, 65, 43, 28, -1, 15, 17, -17, 56, -6], [-6596, 19, 38, -17, -2, -5, -28, -134, -42, 25], [-5542, -18, -35, 10, 98, 21, 7, 130, 0, -76], [-5801, 388, -109, 11, 13, -54, -41, -34, 1, -3], [-7260, -148, -106, -92, -62, -32, -16, -80, -72, 148], [-15026, -1306, 60, 70, -15, 75, -130, 15, 126, -147], [-4475, -824, 203, -50, 45, -83, 107, 360, -53, -8], [-21869, -1976, 215, -57, -56, 93, -167, -67, 67, -28], [-5859, -1790, 66, 58, -236, -31, 105, 58, -28, 118], [-14281, 801, -443, 42, -178, 50, 21, -613, -71, 303], [-14042, -1527, -295, 116, 149, 107, 47, 581, 44, -204], [-6681, 0, 55, 22, 402, 26, 125, 841, -25, -441], [10437, 985, 103, 44, -19, -233, 425, 427, -72, 222], [-6620, 832, 840, -388, 265, -151, 124, 249, -200, -11], [-8443, -338, -477, 432, -126, 75, 51, -16, 129, -48], [19648, 6359, -127, -147, 477, -84, 238, 281, 231, -119], [-14585, -2751, -326, 130, -250, 226, -690, 315, 979, -402], [4601, 6046, -487, -233, -1197, -38, -25, -3682, -659, 1587], [-19779, 321, 939, -500, 490, -73, 59, -295, -825, -16], [-5721, 6642, -179, -81, -81, -264, -833, -1692, -133, 253], [-14112, -9910, 1608, -68, -361, 313, -713, 450, 229, -772], [50102, 9102, -930, 428, 1574, 934, 250, 784, 330, -1856], [-69413, -3316, -921, 18, -183, 393, -1389, -2496, -339, 264], [187870, 12700, -738, 438, -607, -1073, 716, 827, -20, 293], [50653, 0, 0, 0, 0, 0, 0, 0, 0, 0], [125476, -122, 2464, 1864, -2012, 40, 76, -3044, 1792, 192], [131377, 2227, -1645, -792, -616, -919, 677, 1119, -895, 2036], [286381, 18096, 533, -59, 728, -525, 2359, 2411, 257, 584], [82413, -1565, -2607, -1762, 167, -1372, -186, 1457, -1844, 1240], [345489, -5809, 945, 295, 1565, 328, 2125, 10314, 907, -3037], [-52534, -17942, 2570, 1384, 1200, 2656, 348, -1034, 2320, -1388], [62707, -2085, -2684, -776, 3935, 511, -1173, 6432, -1550, -1905], [-11693, -38400, 4958, -2338, -161, 1092, 134, 4052, -621, 1342], [285542, 6642, -2870, -2034, -3055, 443, 2010, -5965, -3122, 3417], [-148346, -12132, -535, 1776, 857, -2067, -1047, -3374, -1028, -808], [216944, -21052, -596, -912, -4175, -23, -1478, 177, 1006, 3613], [-15254, -7836, -1552, 42, 1156, 271, -1029, 3148, 2984, -2994], [-216740, -42667, 7382, 844, 855, 2899, -2886, -3067, 870, -2243], [80866, -5498, -3198, 5636, 1214, -1112, 984, 7110, 7072, -5284], [10210, 12474, -568, 3352, -3931, -3399, -4168, -9069, -358, 2117], [-256807, 11180, -6600, 686, -2944, -4573, 3, -14104, -5126, 1918], [112253, -12203, -861, -5290, 2445, 933, 967, 7212, -5733, 516], [-369589, 40179, 3800, 38, -1920, -268, 2730, -21521, -529, 5788], [-350011, -35326, 483, 904, -3211, 3235, -5743, -9438, 4469, 716], [-912793, -31410, 25, 2262, 4097, 5145, -4417, 758, -2121, -1504], [548316, 40982, -144, -5110, -5327, -3561, 2552, -1999, -476, -961], [-604161, 24254, 9015, -5810, 1555, -593, 4161, -12458, -145, 4028], [-122723, -298, -3589, -2757, 19383, 2620, -1587, 41186, -419, -12357], [-281962, 54909, -950, -2892, -6493, 536, 3418, -12069, -3128, 3156], [-107033, 56362, -3289, 9885, -2390, -2625, 577, -8029, 6079, 5282], [-314554, 74526, -5536, -3584, 5366, -616, 8728, 3642, -3874, 1232], [-417953, 9862, 13593, -23, 3695, 4962, -4025, 1528, 1391, -1817], [-669631, -5980, -5164, -506, 5429, 9052, 4450, 17832, 6621, -11174], [1707968, 74949, -3248, 8272, -11908, -13248, 13270, 24070, 11454, 2174], [-729965, 82737, 3023, 10556, -1008, -2761, -285, -3599, -595, -9464], [-800138, -47842, -5496, 16, -10392, 1744, -5414, -31894, -7072, 12128], [-1136955, -53029, 11217, -5378, -4864, -1085, -12785, 26229, -3707, 8504], [832552, 175428, -21840, -3942, 13128, -4206, 10048, 18652, -7704, -414], [-501746, -11966, 7293, -7712, 2077, 3805, 16857, 10252, -5260, -4336], [-709032, -144510, 12254, -9052, -2013, -473, -11438, -3361, -11312, 9645], [-1184710, 54323, -8593, 6140, -12076, 1306, -17510, -11227, 5169, 3326], [-101306, -50653, 0, 0, 0, 0, 0, 0, 0, 0], [-666161, 6674, -6533, 12504, -17448, -1693, 4011, -35820, 755, 14424], [532702, -70046, 12124, -3644, 15820, -2344, -9902, 55926, 10572, -18356], [166813, -44460, 9910, -1302, -832, -5769, 6599, 53128, 18050, -8306], [-661109, -194702, 3943, 4167, 15140, 18903, -6487, -16283, 1707, -23410], [-430558, 142017, -23523, -11148, -411, -6267, -15339, 4929, 474, 4656], [-1134509, -191744, 4963, 6191, 7228, 2189, -1711, -45327, -9729, 2360], [-722314, -48446, -38, 13606, -5253, -5338, -9448, 7842, -5731, 12318], [91429, -83649, -14743, 15239, -7338, 19181, -15151, -47061, 10931, -11084], [-1523042, -118966, 18083, -12676, 5937, 1349, 217, -32000, 194, -18588], [591314, -300113, 1747, -2581, -38205, 2600, -15380, -96835, 8729, 18795], [1105324, 187046, 19420, -19360, 23970, -8884, 15088, 57978, -17212, 12464], [3356616, 137920, 164, -24258, 13382, -19920, 52188, 19402, -27536, 25256], [-1270552, 41607, -37126, -24106, 24983, -2266, -26472, 1859, -6490, 14276], [1432874, -27250, 11188, -1543, -22893, -4840, 1844, -111029, -14602, 17642], [10131, 27488, -11599, 37466, 1795, -12889, -6471, 38196, 17627, -19068], [6398647, 188150, -4697, 32927, 2655, -14518, 71941, 1216, 26459, -16443], [1210102, 14858, 23894, 1968, 4080, 34008, 30164, -6906, 10560, -7580], [869662, -238260, -24278, -11438, 40373, 14647, -732, 92319, 124, -28251], [560661, -259660, 39222, 5334, 21665, 24286, 3308, 45424, 4717, -50482], [2540854, 181531, 29632, 1301, -8068, -3041, -18638, 10494, -2448, 21327], [1187840, -29614, -36276, -13988, -59698, -9248, 9956, -75150, -3808, 26360], [4306082, -158422, -8688, -386, -9101, 1229, 23016, -15531, 17690, -15827], [390501, 213504, -20481, 33118, -14837, -21403, -49813, 38456, -4143, 28712], [1507581, 23316, 5299, -13853, -51807, -4676, -11641, -69328, 805, 25305], [-1723977, 87688, 1332, 6164, 57229, -10, -39934, 53964, -15469, -21932], [6364599, 499187, -29196, 5468, 4213, -29523, 35167, 16450, 11686, 5285]]}