# Stored data for newform 11.7.d.a, downloaded from the LMFDB on 20 April 2024. {"label": "11.7.d.a", "space_label": "11.7.d", "level": 11, "weight": 7, "hecke_orbit": 1, "hecke_orbit_code": 206275870731, "dim": 20, "is_polredabs": true, "trace_hash": 308126814951251426, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "qexp_display": "q+(-\\beta _{4}+\\beta _{6}-\\beta _{9})q^{2}+(3\\beta _{4}+2\\beta _{5}+\\cdots)q^{3}+\\cdots", "char_order": 10, "char_parity": -1, "char_degree": 4, "char_conductor": 11, "char_orbit_label": "d", "char_is_real": false, "Nk2": 539, "analytic_conductor": 2.530594919818361, "hecke_ring_index": 9680, "level_radical": 11, "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": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.099", "prec": 17}, "analytic_rank_proved": true, "char_values": [11, 10, [2], [1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 2, "level_primes": [11], "conrey_indexes": [2, 6, 7, 8], "field_disc": 1880604199319776657090801613942527495585767073692628125000000000000, "field_disc_factorization": [[2, 12], [3, 8], [5, 17], [31, 2], [1609, 2], [6071848587648557179, 2]], "field_poly": [1742746483878125, 0, 2945657032798125, 0, 929387807009775, 0, 117784752305650, 0, 7342625961605, 0, 245564683275, 0, 4569013705, 0, 47589550, 0, 275175, 0, 825, 0, 1], "hecke_ring_index_factorization": [[2, 4], [5, 1], [11, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.045", "prec": 17}, {"__RealLiteral__": 0, "data": "19.142", "prec": 20}, {"__RealLiteral__": 0, "data": "4.389", "prec": 17}, {"__RealLiteral__": 0, "data": "1180.133", "prec": 27}, {"__RealLiteral__": 0, "data": "135.204", "prec": 24}, {"__RealLiteral__": 0, "data": "110197.713", "prec": 34}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "6.2.3.c10", "trace_display": [-5, -39, 181, -365], "traces": [0, 20, -5, -39, 215, 181, -405, -365, 1595, -704, 0, -3498, -3006, -1805, 7170, -525, -2185, 3635, 11970, 23845, 5144, 0, -2915, 7816, -123775, -30416, -131310, -18687, 226540, 134595, 220420, -71211, 0, 5951, -228190, -377445, -119626, -205731, 127220, 443075, 704340, 490975, -20170, 0, -537812, -805524, -714610, 25329, -935824, 304010, 417855, 1169565, 1468510, -110919, 0, -5511, -862620, -1435995, -667940, -581009, 664640, 892675, 2337360, 900840, 124615, 0, 272910, -960956, -1822680, -624034, -1987140, -288895, 954565, -806585, -404170, -550845, 0, 623095, 1703080, 1662955, 1190956, 1465924, -282095, 14645, -2604390, -33365, 735635, 0, -1860485, 1111620, 4118080, 650935, 4407784, -1556453, -5913080, -4329525, -6429020, -1189281, 0, 252208, 4924876, 3871015, 3225195, 8566161, -2744000, -946020, -8054030, -6524585, 3946787, 0, 4092220, 1901034, 11513060, -721209, -804155, -3799530, -13188190, -15067045, -12397985, -922925, 0, 4855730, 18443780, 14111095, 3361656, 10684311, 7789570, -165845, 2138685, -406750, 884660, 0, 4488814, -7232770, -10198670, -6591290, -4740475, -6215801, -19286380, -10178945, -14215900, -2721461, 0, -4100745, 2890666, 15950575, 8319200, 6715054, 10473606, 18116475, 22239720, 22515775, 8613880, 0, -10596080, -32118742, -23388270, -4344351, -16950470, -7081029, 216020, 6777990, 13274900, -9769479, 0, -443685, 15807290, 1255015, -5196970, 2133290, 11982180, 41477645, 51047430, 18369615, -2394260, 0, -11845603, -60077462, -72862645, -19061485, -49624036, -15620991, 7110880, -11619185, 40795040, 9562855, 0, -11469095, 38190716, -14789720, 13539000, -7660071, 30439319, 79250095, 64278550, 60761200, -41861045, 0, 18576360, -58035704, -79906255, 3694604, -78485810, -18509365, 7592875, -813005, -30095950, -8736888, 0, -10561925, 43950160, 24209545, -40926606, 25774187, 23226805, 36456380, 37449115, 63680035, 85945000, 0, 9549056, -38889850, -27709230, -1151319, 7428030, -44004531, -107710760, -27335575, -35523375, -45337539, 0, -3363360, -1205380, 46181305, 63502810, 52606295, 43804504, -32013285, 10378880, -58380365, -36381980, 0, -22009295, -50980012, 66050690, -54555591, 12164355, -9915725, -29969610, -90911895, -65348520, 91588585, 0, -30813464, 136899160, 139488035, 74250415, 103091369, 41024050, 654295, -53540340, -10068600, -63977400, 0, 84349045, 67389450, 76909770, 55640828, 37340311, -77462719, -172845080, -171779645, -216159695, -52929720, 0, -2983684, 3544724, 95371975, -152394660, 49518941, -40947440, -8431235, -118672050, -60677765, 175059680, 0, 131884060, 91427790, 72562975, 54621890, 100318760, 40865759, -100405505, 33483615, -73405920, -46654693, 0, 70982153, 154515320, 13594890, 97769520, 2212440, -106711970, 40050495, -140114625, -197165505, -79423775, 0, -166270390, -71490934, 75511360, -94306495, 25704390, -31152279, 46284320, -86239185, 299243650, 130268949, 0, 40264015, 187596464, -42888385, 192879860, -15348105, 56303896, -115333380, 76828505, 179069500, -107056455, 0, -81288900, -198054236, -190094025, 72660648, 2477440, 53337710, 37218490, 131195965, -249701325, -113199179, 0, -35634775, -361077640, -25608365, -206958070, -73018030, -21731750, 28481075, 98309850, 163575955, 302112100, 0, -64582815, 482482036, 28626015, -74749873, -173824610, 59528000, 426541630, 365599575, 483920360, -203612500, 0, -18030089, -594085000, -603428285, -27819550, -286910151, -110040374, 18830035, 25978080, -147596725, -271213492, 0, -19396575, -195094570, -52739800, -41890605, -173207590, 399560271, 600880060, 342098335, 531358570, 394404461, 0, 210898435, -7818920, -72769700, -142581234, -154431939, -10751100, -47589250, 603374485, 220629290, -249205620, 0, 8402427, -147423296, -523120290, -46131325, -163992191, -259821041, 192650705, 110612515, -255601950, -177601004, 0, -479017011, -510449120, -418260665, -401696320, -385251751, 249294534, -217016885, -185585710, 65256235, 416733240, 0, -21916235, 650438780, 516776080, 382758369, 631215290, 468397173, -147314420, 621963785, 549639690, -2297765, 0, 435913335, -694419480, -238324725, 395235913, -309929769, -651035320, -277485960, -642176910, -375282870, -321023260, 0, -278328600, 461424794, 883011210, -348034859, 102786876, 117790098, 491192540, -516876685, 192758470, 252837285, 0, -10206515, 380283794, -141536345, 217370455, 223525280, -115576555, -618041735, -228321560, -516718310, -202723160, 0, -267429470, 83126416, -69168770, 618988050, 510423280, 195501449, -193894130, 169954130, -912999340, -6545241, 0, 237356240, -184190740, 505281835, -745934360, 191212797, -372826850, -72170005, -1077817360, -269563025, 634027730, 0, 900621755, 1141321690, 905675565, 244800009, 788616760, -420426699, -66213280, -352762965, 446236775, -499560665, 0, -148020136, 240519364, -574644085, 97782765, -228998499, -393102036, -965699945, -1286444390, -1216859865, -648463650, 0, -31409730, 407949964, 859569440, -89788479, 299574180, 735895195, -141159895, 250235765, -527386730, 1386611195, 0, -17544351, 714202240, 1173529735, 536635880, 79232799, -181881700, 201169195, -114132245, 69476865, -84517350, 0, 643654726, 265919196, 615259700, -313089526, 815124640, -831135565, 487922660, -692043785, -1253161965, -682308887, 0, -865624122, -968345000, -267036845, -6375940, -362005393, 208000990, -1219761260, -522971840, 13088365, 495232651, 0, 59099865, 333844230, -404520100, 749079115, 94071600, 995124510, -918945620, 1374535215, 701051070, -62808480, 0, 909654735, -1279599430, 625695025, -190207114, 550955255, 392394840, 154860260, 503532930, 177919365, -583878560, 0, -1446301560, -492402678, -201571810, -992319320, -210976406, -1010028651, 294850190, -474997085, 1217978820, 370674535, 0, -134906739, 831863450, -1409582205, -341964650, -146966821, 558775971, 713555275, 1005646240, 458686260, -23734426, 0, 740849395, -823273210, -697442590, 1372520278, -1459904740, 1024158585, 451595745, 1109010595, 353731390, 71546358, 0, -169019939, 573653300, 317366995, -851794515, -956009095, 475161100, 2056200315, 1751817655, 1379300455, 109043995, 0, 159817790, -1227388476, -1818680870, -1075032105, -1458099908, -1378891022, -998692100, -1147126690, 560509750, -972821106, 0, -1660626935, -980203484, -1777754425, 587868060, -731775915, -473737050, 564482615, 2062257700, 443864755, 256506774, 0, 764274170, -1451067668, -2169203220, -192607631, -428956135, 1359888771, 3138209540, 1077964660, 153705230, 1371743709, 0, 1905910545, 1469993340, 756499320, 596224779, 313185061, 27193190, 1607386980, 1318942320, 2026027070, -611159460, 0, -1348756860, -159149360, -1370873495, -1442430490, -1271631430, -1747514330, 156368310, -1372699330, -28388400, -1582726349, 0, -1119248845, -492102200, -766522205, -1112733565, 493121820, 679271015, -702077425, 1538961885, 195995215, -528548680, 0, -2238842540, -1940964904, -642670295, 1367472275, -840743520, 1496078243, 224191875, 1339392635, 581164800, 470025285, 0, 1992325940, 796029230, 3094858795, 1085005990, 1793445085, 951319940, 2341219915, -1781571750, 1332321855, 1113249320, 0, 1869575763, 92164950, -1077273400, -560251785, -531591953, -3385092075, -3368104880, -3744912645, 319498850, -1483048738, 0, -2247190440, 1795102810, 499499955, 1064129050, 463085525, 464707116, -254900825, -140056295, -2254982470, 665320706, 0, -313196400, -1808344736, 551551580, -670645163, 520614600, 1129386070, -4300729480, 1929206095, -3614233860, 1604812400, 0, -904174986, 2049659550, 2669437555, 1136192420, 1890220255, 1320318160, 955176575, 703531070, -78863585, 667443010, 0, 1301688410, -251350370, 1261673640, -2548665015, 1574632074, -2903703313, -1146995000, -4060335005, -4445377630, -1000603011, 0, 2127472226, 3843263880, -302696705, 1535778560, 788536560, 404958746, -1802240725, -863490320, 1261985055, 410761211, 0, 2377238600, -62722186, 4504637000, 3400022581, -1171741085, 1392954692, -2467437445, -1161027645, -1265784920, -792902615, 0, 2869795929, -561411680, 4042877600, -1477760545, 2556439675, -211141015, 255919315, -2409752160, -2308313220, 2042077280, 0, -4281832500, 1954196150, -1438787340, -2663609490, -548863046, -1134289951, -1981884880, -3618217325, -700590135, -828642272, 0, -455579245, 3551167796, -1054316890, 649508280, 3541785303, -2620172330, 77452375, -379920080, -3191991545, -459446680, 0, 1633391650, -3405656790, 1572916825, 1783516350, -1567029040, 2180846960, -1872844120, -1504028505, 417369215, 370924041, 0, 945111915, 4469879780, 5209351215, -1206001162, 987456945, 1743944580, 2625288855, -50529430, 1829990945, 613291560, 0, 2713382265, 687540886, -464538295, -10874019, 2659737080, -3055998070, -4128334720, -1160811995, -5022746210, -3366098246, 0, -6413027225, -3650613124, -3550155025, 781307215, 505599954, 506513778, 1030492615, 1007652680, 936080175, 1274330145, 0, -836940390, -429971900, 1864559260, -207844905, 3065358370, 1552590901, 3419980405, 3464908915, 4336306205, 5264292459, 0, 3326934655, -1950566920, 1316668910, 7029532510, -1449986457, 532555550, -929760980, 739453415, 2381901415, -5672405230, 0, -3210633316, -233027660, -1328076425, -3927204039, -5391388000, -5461429130, 3755706115, -3785353925, -1251557700, -780405125, 0, -1186708204, 1963865104, -2802250165, -4366403360, -4206973237, 92411720, -2375831850, 1857383965, 2489764975, 3159191331, 0, -2294601650, -1056744000, -7568718160, 5491776643, -1672983800, 2038022169, 5341730410, 6076376535, 2570553800, -1043351531, 0, 4586202115, -3716367570, -1452529185, -5309050476, 1304430080, 2384450400, 6701128255, 4447899520, -69258570, 1288101630, 0, 3798780480, -315288700, -2665560590, 1681037732, -1981014200, 434037981, 2669559480, 3373833680, 10841978280, -359363853, 0, -3762682165, -1357314480, -6483611345, -2468462800, -5913676119, -541315300, -4588721605, 890431470, -568160350, -7110795564, 0, -2985513135, -2394502516, -6996671110, -5041857725, -3653196225, 5325091979, -4214343390, 1307345275, -1460267250, 3811641803, 0, -3875633520, 699001880, 1571575615, -1126614480, -1171231220, -803915380, 7086197835, 4430696955, 7722732595, 1928495620, 0, 9750093485, 3937780330, 2735667280, 1273380989, 4743032267, -2202971405, 10100239480, 3055074900, 2076298160, -2521528071, 0, 2004045736, -10018031504, -4708828240, 4582157830, -3507902619, -1267872480, -345343620, -52011730, -245547255, 3885518570, 0, -3707268840, -3763663376, 1740523210, -1657461868, -4436017560, 7561936262, 1105045420, 6930799795, 1224006100, -432091098, 0], "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, 11, 4, -1, 10, 0]], "char_orbit_index": 4, "prim_orbit_index": 4, "minimal_twist": "11.7.d.a", "char_is_minimal": true, "conrey_index": 2, "id": null, "nf_label": null, "fricke_eigenval": null, "atkin_lehner_string": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [9, -3, 0, 0, 0, -16, 9, 2, -2, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0], [10, 3, 0, 0, 11, 2, -4, 1, -2, 2, 2, 1, -1, 0, 2, -2, -1, 1, 0, -1], [-4, 1, 1, -2, 28, 25, 12, 0, 2, 3, 0, 0, -1, -3, 0, -1, 0, 1, 0, 0], [-53, -1, 0, 3, -82, -43, -27, 9, 3, -8, -2, 0, -1, 0, -3, 3, 3, -2, 2, 0], [129, -6, -1, 1, 66, 56, 72, -27, 1, -9, -1, 5, 11, 6, 2, 2, -3, -1, -4, 4], [-30, 2, -4, 0, 21, -33, 24, 8, -10, -5, -3, -5, -5, 8, -6, 4, -2, -3, 0, -3], [-202, 4, -4, -9, -343, -65, -404, -10, 17, 4, -3, -22, -12, -6, -2, 13, 11, 0, 1, 3], [-14, -6, 15, 7, 255, 228, 179, 31, 4, 15, -1, -9, 26, -5, 1, 1, -3, -2, 3, 4], [-110, 69, -2, 30, 160, 163, 0, -87, 52, 144, 1, 3, -4, -4, -8, 6, -1, 6, 2, -5], [-79, 110, 6, -52, -155, 93, 169, -15, 95, 60, 9, -27, -25, -26, 30, -24, -15, 4, -5, -4], [5, -201, -24, 5, -33, -697, -699, 133, -250, -47, 7, -21, -7, 10, -21, -4, 22, -3, -2, -2], [-107, -205, -1, 3, -2, -391, -106, 48, -111, -155, 1, 91, 2, 91, 15, -16, -15, 3, 3, -2], [451, 75, 9, 89, 446, -11, 1685, 78, 153, -169, -12, 84, 74, -1, -2, -4, -10, -6, -2, 7], [922, 283, 17, -133, 521, 1441, 720, -266, -64, -57, 0, -4, -67, -135, -16, -7, 9, -2, 0, 3], [-420, 7, 5, 48, -1794, -888, -1383, 33, 379, -40, 9, 50, -57, -50, 31, -16, -1, 9, -9, 0], [1992, -237, -24, 39, 982, 453, 1544, -163, 9, -195, 5, 68, 131, 125, -37, 18, 27, 5, 33, -33], [-87, 52, 32, 0, -780, -60, -807, 788, -840, -405, 26, -85, -85, 38, 54, -32, -22, 27, -1, 27], [-518, -135, 10, -89, 1385, -2380, -1036, -174, 140, -10, 24, -137, -103, -75, 29, -56, -44, 0, -17, -24], [738, -229, -71, -17, 2280, 3037, -650, -47, 314, 1040, 4, -19, 83, 9, -4, -4, 1, 19, -23, -38], [-1925, 462, -2, 75, -4105, -4136, 0, -914, 24, 888, -12, -31, 10, 10, 6, 13, 12, -62, -19, 50], [-5088, 723, -13, 32, -1719, 4959, 1590, 90, 813, 683, -86, -73, 105, 16, -180, 167, 90, -43, 43, 43], [-50, -164, 130, 115, 4951, 367, 391, 152, -361, -221, -74, 36, 74, 65, 107, 48, -106, 26, 24, 24], [-9171, -1718, 8, -91, 23, -2507, -9179, 741, -790, -993, -8, -139, -83, -139, -98, 123, 98, -31, -31, 16], [594, 463, -82, -199, 579, -18, 4902, 551, 518, -396, -6, -214, -93, 12, -100, 128, 125, -3, 24, -9], [11570, 2040, -154, 206, -6328, 5201, 2639, -2194, 174, 90, 0, -24, 73, 223, 77, 84, -43, -41, 0, -36], [1137, 33, 23, -81, -8424, -4168, -9606, -112, 1101, 79, 43, -78, 38, 78, -3, -78, -159, 45, -45, 0], [17938, -776, 173, -51, 9019, 4602, 13361, -526, -107, -958, 25, -102, -229, -253, 207, -214, -116, 25, -75, 75], [-2734, -804, -79, 0, 2231, -2813, 2310, 2444, -1640, -1119, -66, 330, 330, -161, -158, 79, 206, -79, 13, -79], [-2671, -442, 36, 388, 6913, -12416, -5342, -168, 177, -36, -45, 615, 370, 406, -169, -35, -27, 0, 116, 45], [6931, -878, 6, 82, 6460, 20659, -276, 481, -962, 303, 37, 146, -489, -101, 51, -81, 89, -58, 32, 116], [-23686, 847, 130, -608, -23983, -23866, 0, -527, 980, 1684, 57, 117, -108, -108, 285, -345, -57, 234, 60, -177], [-15334, 1044, -169, 188, -6159, 15710, 6535, -75, 969, 1468, 277, 554, -366, 94, 150, -319, -75, 178, -99, -178], [177, -1158, -62, -703, 29784, -3495, -3609, 1154, -2463, -1191, 291, 143, -291, -526, -22, -228, -52, -63, -114, -114], [-15526, 965, -16, 568, -101, -3898, -15510, -876, 347, 121, 16, -381, 552, -381, 185, -186, -185, 117, 117, -32], [21955, 96, 306, -171, 22102, 234, 39767, -384, 495, -836, 174, -24, -627, -60, 540, -515, -428, 87, -120, -27], [23237, -1592, 351, 1156, -11841, 11595, 5610, 1943, -668, -495, 0, 284, 808, 1241, 24, -173, -26, 199, 0, 176], [-2634, -400, -448, -578, -62350, -31538, -59342, 714, -940, -314, -352, -498, 930, 498, -732, 774, 816, -374, 374, 0], [39878, -733, -211, -500, 19843, 18324, 21298, 707, 319, -478, -256, -965, -1674, -1238, -511, 638, 363, -256, -64, 64], [17509, 2004, -7, 0, 29538, 17544, 29503, -5150, 3146, 2385, -38, -45, -45, -194, 70, 7, -380, 35, -73, 35], [-22951, 1373, 23, -2, -2015, -43610, -45902, -74, 166, -23, -115, 273, 599, -603, 528, 320, 69, 0, -392, 115], [6703, 3220, 277, -464, 30075, 83307, 17321, -254, 2257, -1582, -314, 23, -361, 850, -434, 688, -216, -1, 183, -9], [-66720, -1394, -621, 121, -54471, -54621, 0, 860, -1181, -2215, -126, -150, 716, 716, -1127, 1151, 126, -300, -24, 174], [-27906, -4674, 828, 1736, -29738, 27878, 29710, -508, -5182, -6424, -172, 148, 1588, 868, 1016, -188, -508, -316, -144, 316], [-179, 1833, -683, 1097, 30120, -15026, -14783, -2977, 6662, 4586, -422, -561, 422, 918, -529, 486, 926, -64, 243, 243], [-67923, 3246, -18, -1607, 171, -14198, -67905, 690, 1656, 3972, 18, -1191, -1625, -1191, -60, -123, 60, -153, -153, -36], [35716, -1721, -566, -1055, 35436, -407, 50827, -901, -4844, 5315, -254, -1335, 549, 153, -973, 725, 598, -127, 306, -26], [24703, -6384, -18, -1240, -8141, 16463, 8492, 6366, 3041, 3326, 0, -1036, -1349, -2177, -503, -285, 384, -99, 0, -422], [8473, 1173, 1725, 1237, -75575, -37121, -84760, -285, -5259, -888, 621, 871, -1858, -871, 2215, -1885, -1555, 712, -712, 0], [112502, 10878, -635, 883, 56433, 41284, 71937, -462, -294, 10939, 719, 1750, 2781, 2253, 658, -588, -868, 719, 355, -355], [32728, -1098, 244, 0, 61859, 32893, 61694, -6695, 7793, 3175, 391, 406, 406, 462, 330, -244, -345, 165, 226, 165], [-45933, -1163, -842, -73, -14568, -77397, -91866, 3112, -2732, 842, 462, -245, -1406, 1260, -986, 335, 1222, 0, 561, -462], [37402, -1547, 320, 373, 40178, 88079, 16498, -3064, -3222, -9602, 855, 61, 1277, -2380, 1312, -1977, -251, 379, -629, -626], [-106162, -10164, 1134, 842, -135988, -136148, 0, 15734, -5830, -21986, 102, -160, -1328, -1328, 1214, -952, -102, -320, -262, 422], [-55885, -2430, -1068, -5108, -31805, 54282, 30202, 899, -1531, -2687, -772, -1660, -3448, -2554, -1798, 730, 899, 59, 831, -59], [-367, 8159, 611, 172, 90722, 18643, 18556, -2479, 5486, -2586, -280, 1635, 280, -195, -161, -174, -698, 454, -87, -87], [-33785, 14064, 1, 2444, 128, 19271, -33786, -10439, 6862, 3623, -1, 5606, 2445, 5606, 326, -467, -326, -129, -129, 2], [88120, -6766, 234, 5121, 87931, -527, 133942, -6324, -146, -493, -676, 4932, 2254, -149, -293, 37, -301, -338, -298, 487], [36456, -15727, -468, -3619, -41976, -6593, -2946, 15259, -9982, -11241, 0, 2593, -327, 47, -233, 1259, -186, -1073, 0, 372], [49637, -778, -2211, -763, -84937, -41888, -135080, -5899, -6676, 6677, 655, 1287, 108, -1287, -53, 272, 491, 506, -506, 0], [74496, -5907, 1144, 550, 36918, 23190, 50877, 12395, -165, -5841, -429, 1111, 2651, 2332, -495, -330, 1045, -429, 231, -231], [-2878, 1968, 197, 0, -11595, -2796, -11677, -13933, 11965, 7373, -293, -4298, -4298, -197, 164, -197, 813, 82, -375, 82], [5214, 11087, 1464, -3013, 62487, -52534, 10428, 2212, -3591, -1464, -85, -6501, -2377, -3649, 1011, -1357, -2843, 0, 390, 85], [25351, 4645, -1366, 1487, -36785, 72849, 8848, 5677, -1256, -5359, -544, -2201, 2484, 3044, -831, 1666, 1184, -714, 191, 834], [-95044, 5247, -446, 2777, -86378, -85855, 0, -5074, 5869, 11992, -3, 523, -641, -641, 381, -907, 3, 1046, 526, -1049], [-73361, -16111, -676, 754, 18522, 74399, -17484, 1137, -14974, 3555, 841, -2658, 3412, 377, -2274, 1598, 1137, 644, -197, -644], [822, 5856, 1869, -1587, 103073, 20878, 20285, -10670, 17622, 12359, 1415, -4294, -1415, -765, 2896, -1186, -2462, -229, -593, -593], [-137021, 1135, 512, -1491, -921, -6553, -137533, 11444, 1217, 11555, -512, -1027, -979, -1027, -1355, 2732, 1355, 409, 409, 1024], [-37846, 6289, 1637, -2778, -36665, 2049, -50655, 2916, -6050, 6809, 1736, -1597, -910, -313, 3686, -977, -109, 868, -626, -555], [88584, 25054, -709, 45, 22371, 112668, 55194, -25763, 19644, 19909, 0, -5174, -2281, -6842, 2989, -265, -1448, 1713, 0, 567], [-65845, -2122, -1234, 3794, -72103, -39072, -3227, 6597, -2954, -4475, -3010, -3034, -784, 3034, -7742, 5153, 2564, -3031, 3031, 0], [-32891, 983, 489, 994, -16752, -46351, 11600, -1543, 824, 560, -1860, 563, 2986, 745, -1437, 1648, 890, -1860, -1247, 1247], [-38492, -11592, -1713, 0, -9610, -39190, -8912, 22150, -10558, -10166, -636, 4715, 4715, 5368, -1396, 1713, 1818, -698, 62, -698], [5751, -26463, 1004, 144, 12289, 881, 11502, -8015, 7927, -1004, -916, 1956, -2240, 2528, 591, -2169, -1092, 0, -2584, 916], [64914, -4251, -1379, 191, 93278, 25589, 21920, -17818, -7165, 12360, -2067, 2495, 2548, -2349, -2718, 2518, -844, -141, 1350, 1239], [103260, -2241, -1020, -863, 35073, 35053, 0, -876, -4521, -3868, 183, -20, 3896, 3896, -33, 236, -183, -40, -203, 223], [68112, 27834, 1773, -178, -1619, -63521, 6210, -2722, 25112, -5415, 1706, 3332, -3510, -89, 5444, -3671, -2722, -1179, -2885, 1179], [128, -10340, -1050, 722, -168454, -53376, -52414, 21020, -41744, -32366, -834, 4168, 834, 850, -424, 1924, 2012, -1090, 962, 962], [130425, -13320, -1035, -2017, 933, 72108, 131460, -11412, -5580, -22662, 1035, -3073, -3052, -3073, -326, 192, 326, 102, 102, -2070], [-11630, 9583, -4047, 855, -12777, -905, 3367, 13146, 18206, -16404, 484, -292, -1974, 1389, -4952, 1318, 1560, 242, 2778, -1631], [-93753, -2310, 847, 5989, -95852, -187629, -93766, 3157, -9654, -6144, 0, 5656, 4786, 9669, -944, -3510, 1534, 1976, 0, -2073], [29361, 3622, 5924, -4595, 264351, 133657, 233347, 2490, 32854, -6112, 1320, 3745, 3275, -3745, 6501, -5265, -4029, 1643, -1643, 0], [8203, -23522, 2089, -5532, 6687, 86592, -74392, -25716, -2687, -27383, 3997, -7015, -18027, -13669, 7858, -5374, -4459, 3997, -1174, 1174], [-9854, 24521, 1569, 0, -94483, -10747, -93590, 13746, -38267, -7487, 434, 155, 155, -7002, -1786, -1569, -1228, -893, 1327, -893], [63086, 12298, -3099, 8791, -3177, 125834, 126172, 11212, -7589, 3099, -524, 14067, 18111, -529, -5163, 5074, 6722, 0, 2991, 524], [-198818, -4342, 2759, -10008, -99881, -245898, -52983, 36301, 27025, 32393, 4857, 736, -14280, -135, 4152, -5473, 117, 2124, -579, -3060], [195780, 30921, 1007, -6965, 306188, 305946, 0, -43196, 17518, 60109, 121, -242, -1771, -1771, 506, -143, -121, -484, -363, 605], [155106, 10460, 911, 11558, 19494, -157404, -21792, -2723, 7737, 30182, -261, 11062, 496, 5779, 5446, -4535, -2723, 1776, 2037, -1776], [-357, -34702, -3254, 5264, -101969, -2518, -2821, 9450, -12801, 22204, -54, 4458, 54, 4907, -5742, -606, 2951, 660, -303, -303], [174724, -81148, -1084, 3576, 1080, -367006, 175808, 47152, -44060, -31828, 1084, -9720, 2492, -9720, 4182, -9136, -4182, 4, 4, -2168], [-198411, -513, 1131, -12948, -198041, -1107, -289000, 1310, -1536, -4560, -2954, -12578, -4118, -1847, 24, -3142, -4619, -1477, -3694, 3324], [-109700, 49387, 3444, 7331, 357639, 242859, 122620, -45943, -14578, -18716, 0, 1842, 5936, 14253, -5825, 4138, 942, -5080, 0, 2699], [-144352, -1693, -6758, -6970, 61307, 33819, 202700, 9638, 6039, -7945, 3372, -7058, 3598, 7058, 6203, -1266, 3671, 2959, -2959, 0], [-519936, 17568, -6572, -2377, -262738, -280026, -241811, -18410, 3429, 24636, -1901, -1202, -503, 5513, -8969, 6858, 3925, -1901, 3639, -3639], [-30351, -42300, 2234, 0, 57452, -26859, 53960, 71220, -28920, -38680, 318, 3104, 3104, -15194, 6984, -2234, -6140, 3492, -3174, 3492], [82038, 29483, 918, 2621, -281832, 447208, 164076, -58542, 55849, -918, 1775, 6542, -3596, 8838, 9212, 4301, -3611, 0, 475, -1775], [-281502, -24455, 4119, 15010, -206682, -558405, -390048, -14418, -7893, 15856, -3282, 602, -8036, 5876, -2174, 4811, 2276, -2835, -1110, -501], [590159, 12752, -2353, -10451, 686302, 684423, 0, -30492, 537, 30443, -3172, -1879, -4332, -4332, -12034, 10741, 3172, -3758, 1293, 586]]}