# Stored data for newform 33.6.e.b, downloaded from the LMFDB on 20 April 2024.
{"label": "33.6.e.b", "space_label": "33.6.e", "level": 33, "weight": 6, "hecke_orbit": 2, "hecke_orbit_code": 4503874605940769, "dim": 20, "is_polredabs": true, "trace_hash": 916484336920476305, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [1371559530496, -6664419676160, 15791691276288, -17574369985024, 16705717248512, 688384193024, 1278698310336, 222642168896, 104398160256, -4766394088, 3198816696, -313560892, 94390061, -3730721, 1258515, -30756, 12401, -488, 94, -6, 1]]], "qexp_display": "q+(-\\beta _{5}+\\beta _{6})q^{2}+9\\beta _{7}q^{3}+(-12+\\cdots)q^{4}+\\cdots", "char_order": 5, "char_parity": 1, "char_degree": 4, "char_conductor": 11, "char_orbit_label": "e", "char_is_real": false, "Nk2": 1188, "analytic_conductor": 5.292666053828361, "hecke_ring_index": 1936, "level_radical": 33, "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": 0, "analytic_rank_proved": true, "char_values": [33, 5, [23, 13], [5, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [3, 11], "conrey_indexes": [4, 16, 25, 31], "field_disc": 1110500058883408219012471803765024460855147972921833859893798828125, "field_disc_factorization": [[5, 15], [6032318453918983919461533161, 2]], "field_poly": [25599187870096, 60036938210920, 57625758470132, 4154923377746, 27749747552381, 1113900934906, 1732079176577, 93641098134, 70677624924, -1144062486, 2277268901, -100741271, 89291182, -1581925, 1262953, -33409, 10573, 79, 78, -1, 1], "hecke_ring_index_factorization": [[2, 4], [11, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.122", "prec": 17}, {"__RealLiteral__": 0, "data": "18.660", "prec": 20}, {"__RealLiteral__": 0, "data": "15.589", "prec": 20}, {"__RealLiteral__": 0, "data": "1289.441", "prec": 27}, {"__RealLiteral__": 0, "data": "3960.783", "prec": 27}, {"__RealLiteral__": 0, "data": "188162.037", "prec": 34}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "5.2.3.c5", "trace_display": [6, 45, -11, -139], "traces": [0, 20, 6, 45, 8, -11, -54, -139, -76, -405, -424, 2289, -2682, -847, 2022, -396, -7148, 2482, 81, 2958, 8037, -1404, 7441, 8140, -4626, -13120, -13508, 3645, 27819, -20210, 11106, 5540, -4626, 639, 16540, -34101, 648, -25173, -55878, 7623, 22689, 54349, 32292, -21688, 24587, -5346, 44155, -48387, -43083, -78880, 19956, 7317, 109051, -74382, 10206, -47630, 168894, 52983, 1501, -108412, -72333, 16737, 132685, -11259, -157030, -134194, -127539, 20178, 387013, 19305, -411988, 143157, 41634, 164980, 286114, -96255, 46868, -367461, -152658, 369613, -107448, -32805, -184129, 267741, 279819, 379937, -290531, 214920, -740846, 205492, 117126, 394559, -483181, -49860, 561327, 267881, 228564, -300567, -2296174, -115506, -401222, 592341, 14445, -456478, -596269, 306909, 671841, 924503, 114453, -738104, 447316, -290448, 1864842, 56985, -406413, -359225, 1552548, 150903, 694999, -449346, -167976, -703155, 125574, 342639, -615282, -1077901, -290628, 379078, 16057, 112437, 286378, 209442, -695538, -229478, 241230, -32076, -1328415, -569587, -397395, 399461, 2465982, -637182, -238118, -619484, 382482, 65040, -243619, -33570, -1673294, 1105107, 186246, 901806, 1632199, -270378, 2126562, 78084, 903366, -809412, -893719, 669438, -1837831, -638781, 6561, -2089528, -2116138, -483435, 2147020, -44959, -1275021, -376350, -3663415, -476847, 978993, 311018, 165186, 3165806, 726117, 713538, 1266783, 1304311, 174312, 1860005, 2343123, 119052, -481207, 686055, 4101210, -2252123, -1952610, -44469, -1426297, -589543, 1413270, -979360, 446876, -975294, -1311625, -5052630, 599886, 99792, -4444671, -971082, 1031995, 1930236, -3483117, -1247936, -1040490, -155925, 4068866, 1037836, 700542, 1269808, 3116608, 1834542, 1358460, 2052975, 55404, -5390925, 5515626, 2407320, 1638198, -457606, -286371, 2521563, 2478501, 866295, -7036675, -665339, -2389617, -1019814, -2690058, -2797821, -494838, -3855553, -1094148, 6106463, 2744666, -3326517, -4380019, -1955607, -3568158, 2019400, 6219666, -1180980, -7170325, 7228348, 1808136, 5572603, 9260041, 724491, -5278109, -553252, 530064, -2521725, -1142796, 1695897, -1193284, 7075606, 2614779, -1331603, -10330751, -1637010, 3278544, -9050762, -1047951, -5635776, -17544144, 660357, 7295539, -125778, -1054134, 3535040, -1883169, -366201, 14546762, 2608494, -555606, 2267858, -1460927, 854145, 5543244, 5415004, 1409337, -11664922, 11055015, 11666646, 2502903, -4927956, 2244429, 233257, 3058990, 2705103, -15563080, -3408263, -4659624, 4203948, -12834404, 88209, 11340472, -7657757, -4265532, 6152355, -7692762, -5331069, -3125679, -401805, -539865, 9881282, 24913542, -632808, -13060562, 7348239, -637929, 13261211, -6424002, 2196234, -5171618, 1768901, 18571626, -784630, 14601944, 2499093, -11066248, 2197701, -1030077, -8545307, -19280403, -7403364, -5022109, -16778454, -4118724, -14239552, -12376314, -2039013, -912321, -3036190, -16783578, 4499228, 13590227, -2630475, 35774238, 2861624, 1736802, 10569603, -5241161, 3366180, -16959039, 12693158, 4629483, -7318183, 11740827, 1481328, -4598576, 7896120, 2980179, 6079937, -986609, 4044114, -3940729, 2520758, 1837809, -8923133, -7455594, -9696735, 3162702, 6438318, -1390311, -4098378, -1413069, -3083751, -4409033, 1413495, -2650752, -15461532, 28841085, -17715456, 12620422, 2359686, -1474038, -2411277, 23382471, 4971348, 24630458, -3104029, 26407422, -15428114, 16274078, 1890297, -11445580, -1015131, -2577402, 1529062, -12147782, -8363223, 4970091, -54101542, -1846638, -8225296, -20156577, 2370762, -16137608, 13717072, -2171070, 18363941, 13219896, -72171, 95492, -15375925, 3283830, 5559876, 4266667, -3900537, -4617105, 13913871, -1470960, -5138006, 1368452, 3331206, 1297783, -21711518, 20428362, 5325266, -18530863, 5734638, 25482091, 23356587, 6280047, 295241, -51616484, -6262119, -3307358, 25198450, -3489723, 11619182, -39690867, -585360, 18612682, 22976322, -4209264, -4695160, -11258056, 12174300, 25527475, 24979878, -3766689, 14529463, 28581969, 7759557, 14615567, -6966790, 119556, -29489541, -12440718, 11702286, -19745309, -31290090, -14689791, 1887476, -8665394, 592677, -18622181, -38206450, -7222743, -12408102, 12722118, 4561389, -31281077, 573595, -8130294, 17989662, 34486390, -16149582, -4043192, -20552275, -947304, 34192988, 6292068, 8253333, -16778943, 45561254, -3388086, 11238461, 2396781, 1879524, -30961507, 11254258, -354294, 26334261, -22883826, 18805752, -5313769, 13336527, 1981917, -44970548, 21900162, -5062095, 33487970, 36549129, -22578345, -266630, -49875513, 404631, 8329306, 24948196, -18315396, -36329014, 21174052, 3930840, -9566746, 14129953, -33830010, 36776788, 34077990, -2156382, 11847763, -17066976, -4785642, -6755167, 23063418, -2971467, -18110350, -4703868, -1486674, -5764936, 11251596, 5484366, 48185366, -8941034, 9848952, -20692864, -13424092, -8781372, -54168881, 172393, -11401047, 3406626, -1813964, 8977941, 3372404, -36702992, 14855562, 31708291, -24639663, 14399415, -44262953, -20029644, 26614548, 14440957, 25646736, -568458, 30476811, -30287244, 8920773, -36531417, -9334391, -6174495, 1112173, 25599524, 10747485, 4817569, 63252162, 6741882, 88603836, -1564817, 21195900, 18385306, -21758692, 400221, -18734836, -8721264, 5664123, 35827026, 15903989, -8064468, -13510113, 20648670, 14580810, -15293048, -64769206, -20359305, 30792998, -26200227, -41290884, -25341216, -43045810, -3342789, -23301166, -36251957, 11804625, -8225513, 903592, -29059875, -40759709, 9017774, 8032851, -18342736, -30105159, -2206413, -6316380, 23868498, 40002039, -44391453, -4833804, -9556947, 18658194, -45493516, 42085980, -13540172, -55358917, 2829816, -24940571, 8617516, -9184752, -19262802, 52583007, 3157434, 96582079, 13621620, -2783835, 86633183, 43945732, 1403325, 17423413, -26364213, 21560076, 22141440, 75814544, 11348676, -23212472, 5068696, -33371028, 32789873, 35630097, -11428272, -19639300, -37390674, 60682248, -85347008, 100416065, 9830322, -52696448, -25323286, 9779580, 13456030, -78859188, -2457630, -42689826, -30292452, -5747436, 14436133, -1629738, -62128800, 21953274, 51932673, -49640634, 48226175, -14328564, 13363380, 41512001, 50221000, 15769683, 10006822, -22797547, 65427849, 82439394, 50431758, 2577339, -12875254, -109337893, 7834563, -35291860, -64660170, -130518324, -75910703, 26262464, 9564480, 64760925, 3423664, -38898630, -62784964, 12326345, -4789944, 11251633, 30127968, -23404707, -17573364, 144217863, 9178326, -36702239, 9401881, -3223863, -56238716, 65190622, -1610361, -151777282, 71428309, -2388753, 38051367, 103109571, 34699977, 3354684, -20801532, -3664683, 69040466, -23628441, 16603488, -49562050, -10636557, -36945819, 80973392, -104368509, -28935387, -20431559, 8638828, -76001364, 41951043, -28895272, -23289822, 39995860, 22143537, 32113422, -78200650, -17700432, -5169060, 112854022, 8197500, -4107429, 63596806, -35135877, -2657205, 11770858, 31838428, 64532925, -46018034, -178002708, 43564698, 1497466, 5094765, 62375346, -70846367, 5514409, 38614428, -118005255, -105627895, 31121721, -80146426, -86116605, -30333204, 70902568, -20578440, -19975194, -13799668, 24520935, 4979268, 36225008, 26762476, 22665339, 95708441, 159325722, 27277695, 12217438, 32373027, 101956374, 101070132, 159250398, -15263073, 11598094, 21495410, 9107541, 25393970, -90965763, -39622014, 52612990, -70478433, 27080244, 44290225, -286570337, -9044523, 4299287, -63418087, -67210776, 23922912, 19370048, -23437350, 97460528, 16045218, -29506896, 17216936, -26406143, -60153282, -82618733, 312715344, 26254854, -9756546, -128279799, -16398441, -43937288, -108463002, 157897296, -111863916, -104940246, -2379213, -114614516, -25908962, 10171584, -55595401, -91280417, -51676578, 62889195, -66362761, -8096274, -6220977, -113211723, -74478510, -9760618, 4324116, -26889219, -1242300, 116756665, 3295809, 55050227, 35010429, 105168942, 43449557, 300190566, 89825004, 61433536, 62670906, -39137661, 1513467, 147249429, -20410722, -45187513, 38735010, 43515603, 60819826, 8642351, 23451930, -35438332, -45644991, 12841659, -99229785, -56932608, -30338946, -4131900, -276608, -65566908, 49880776, 242596410, -80519292, 47124690, -53902159, -99495135, 20105283, 11217375, 21698361, 2795312, -85074084, -18620487, -28062052, 98235241, 41106879, -99311521, -80103526, -20199861, 100846665, -147405798, 49031712, -226434312, 113677428, -119547450, -47839233, -90073662, 34117038, -23295836, 64191759, -17945865, 140748271, 91964772, 57153492, -159999998, -10778214, 51058431, -48272866, 9251298, -37835532, 77940311, 80857257, 48437181, 151834246, 124455310, -4402431, -51500768, 148849195, -2639538, -135767854, -13896144, 68919813, -5471662, 58997356, -22140297, -111897386, -113401398, 117841680, -140138525, -28011432, -154120527, -92245321, -26392064, -16123779, 217604855, -55356643, -244477314, 303912779, -115555602, -66067920, 2165520, -282246957, 4858785, 16899209, 44787066, -18930843, -102197768, -25218654, -15180048, 12030742, 129533846, -36974718, 750033, -126084275, 117545058, -114752928, 171881573, 74182509, -2952348, -233258973, 85112856, -20243295, 27645873, 96456231, -126093430, 81846886, 39923928, 48478779, -13574433, -10187046, -106870428, -36111978, 39391992, -35561606, 42865827, -15920109, 333323794, 134016564, 54419121, 17685049, -19384890, 83352330, 143710088, 34663725, 141636069, -37080031, 89975421, -22491837, 69266428, 179517271, -113822523, -64264914, -221557226, -108095724, 367179506, -22568282, -472392, -149084434, -76987532, -91486512, 130839947, -33776333, -13142628, 28522823, -218113492, -36737064, 34369509, -207203454, 45198981, -748863, 89533946, -25233849, -224378583, -148468080, -7027074, 68691602, 292127734, -41598927, -18273043, -97788469, 111386826, 161547390, -185650101, -6587973, -393628736], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 3, 1, 5, 0]], "char_orbit_index": 5, "prim_orbit_index": 3, "minimal_twist": "33.6.e.b", "char_is_minimal": true, "conrey_index": 4, "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, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-12, 1, -12, 1, 1, -1, 18, 18, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0], [-3, 0, -5, 2, 2, 0, 0, 3, 0, 1, 0, 1, 0, 0, -1, 0, 0, 1, 0, 0], [0, -9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-13, 2, -13, 2, -4, 4, 4, 4, -2, 2, 0, -1, 0, 2, 1, 0, 0, 0, 0, 1], [-25, -2, 0, 10, 17, -12, 25, 56, 0, -2, 0, 0, 2, -2, -2, 0, 2, -1, 1, 0], [0, 0, 0, 0, 0, 0, -81, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [41, -2, 111, -26, 0, -1, -111, 0, 1, 1, -1, 5, 0, -3, 0, 0, 1, 3, 1, -1], [91, 18, -57, 8, 18, -26, 5, 25, 1, -3, -1, -2, -2, -2, -1, 0, 1, 2, 2, 1], [-108, 0, 54, 9, 0, 0, -54, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -28, 119, -6, -22, -14, 56, -119, -3, 0, -4, 6, -3, -6, -8, 3, 2, 8, -3, 4], [241, 4, 0, -41, 5, 45, -241, -253, 2, 13, 0, 0, -13, 4, 4, -4, -15, 15, 5, -4], [-45, 0, -45, 0, -18, 18, 18, 18, 0, 0, 0, 9, 9, 0, -9, 0, 9, 0, 0, 0], [-489, 21, -26, 50, 50, 0, 0, 489, 0, -15, -3, -17, 19, 0, 1, 1, 0, -17, -3, 0], [121, 24, -105, 8, 8, 0, 0, -121, 0, 9, 7, -16, -4, 0, 7, -5, 0, -16, 7, 0], [81, -81, 81, -81, -81, 81, -81, -81, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [336, 28, 0, 110, 82, -82, -336, -464, 8, 13, 0, 0, -13, 28, 28, 0, -21, -17, -8, 0], [0, -74, -210, -19, -55, 32, 1127, 210, 4, 0, 1, 19, 4, -19, -20, 6, 37, 20, -6, -1], [-117, 27, -81, -9, 0, -36, 81, 0, -18, 18, 9, 18, 0, -9, 0, 0, 18, 9, 0, 0], [-286, 90, -270, 72, 20, -179, 1033, 1248, 34, -49, -6, -18, 13, 6, 24, 8, 5, -11, -13, 2], [442, 58, 9, -38, 0, -30, -9, 0, 16, -36, 13, 5, 0, 28, 0, 0, -36, -28, 3, -3], [0, -81, 225, 27, -108, 153, -504, -225, -18, 0, 9, -27, -18, 27, 9, -9, -18, -9, 9, -9], [-928, -32, 0, -86, -22, 54, 928, 258, 53, -22, 0, 0, 22, -32, -32, 13, -31, 6, -19, 13], [-1374, 253, -1374, 253, -26, 26, 510, 510, -11, 11, 11, 13, 46, 11, -13, -11, 46, 0, 0, -11], [0, 0, -729, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2399, 22, 1601, -345, -345, 0, 0, -2399, 0, 96, -22, 8, -107, 0, 81, 7, 0, 8, -22, 0], [143, -46, 143, -46, 18, -18, -2209, -2209, -9, 9, 3, 6, -43, -50, -6, -3, -43, 0, 0, -7], [999, -27, 0, -18, 216, -9, -999, -630, 9, -18, 0, 0, 18, -27, -27, -9, 9, -18, 18, -9], [0, 221, 51, 79, 142, 482, 1372, -51, 21, 0, -3, -79, 21, 79, 66, -7, -33, -66, 7, 3], [1064, -482, 2250, -259, 0, 540, -2250, 0, -101, -38, -22, -74, 0, 58, 0, 0, -38, -58, 2, -2], [-513, -63, -468, 171, 90, -18, 288, 1332, 27, -36, 27, 0, -18, -9, -18, -18, -27, 36, 27, -18], [826, 432, -234, -418, 0, -484, 234, 0, 88, -109, -41, -31, 0, -52, 0, 0, -109, 52, -12, 12], [0, -815, 2696, -69, -746, 288, -1795, -2696, -99, 0, 8, 69, -99, -69, -32, 6, 54, 32, -6, -8], [486, 0, 0, 0, -81, 0, -486, -1458, -81, 81, 0, 0, -81, 0, 0, 0, 0, 0, 0, 0], [-2687, 854, -2687, 854, 530, -530, 1046, 1046, 73, -73, -29, -6, 88, -14, 6, 29, 88, 0, 0, 34], [-3874, -260, -736, -736, -736, 0, 0, 3874, 0, 149, 31, 121, 64, 0, -7, -25, 0, 121, 31, 0], [1071, -324, 1575, -198, -198, 0, 0, -1071, 0, -18, 9, 18, -27, 0, -72, 27, 0, 18, 9, 0], [-184, 969, -184, 969, 1390, -1390, 2236, 2236, -39, 39, -26, 86, 58, 0, -86, 26, 58, 0, 0, 8], [3928, 65, 0, -23, 796, 88, -3928, -105, -8, -43, 0, 0, 43, 65, 65, 38, 51, 26, -7, 38], [0, 234, -2169, -171, 405, 45, 2277, 2169, 135, 0, 9, 171, 135, -171, -135, -45, 117, 135, 45, -9], [-108, -603, 1658, -473, 0, 556, -1658, 0, -41, 112, 16, 42, 0, -47, 0, 0, 112, 47, -26, 26], [-2513, -385, -3971, 1559, 1015, -981, 2562, 6971, -68, 83, -6, -44, 133, -24, -69, -11, 185, -56, -26, 24], [-405, 243, -243, 81, 0, -162, 243, 0, -81, 0, 0, 0, 0, 81, 0, 0, 0, -81, 0, 0], [0, -813, -2146, 91, -904, -46, 4028, 2146, 55, 0, 3, -91, 55, 91, -12, -28, -120, 12, 28, -3], [-4726, 85, 0, -569, -1158, 654, 4726, 4413, -72, -80, 0, 0, 80, 85, 85, -24, 152, -103, 85, -24], [-234, 333, -234, 333, -261, 261, -4167, -4167, -171, 171, -27, -153, -135, 144, 153, 27, -135, 0, 0, 18], [-2735, -2494, 6981, -270, -270, 0, 0, 2735, 0, -61, -14, -100, -146, 0, 106, 45, 0, -100, -14, 0], [1689, -343, 911, -133, -133, 0, 0, -1689, 0, -24, -19, 51, 323, 0, -278, -18, 0, 51, -19, 0], [-945, 297, -945, 297, 144, -144, 2034, 2034, 36, -36, 63, -144, 81, 81, 144, -63, 81, 0, 0, -18], [8646, -213, 0, -101, 1690, -112, -8646, -2889, 84, 71, 0, 0, -71, -213, -213, -45, -155, 252, 18, -45], [0, 737, 6304, 9, 728, 1890, -1172, -6304, -164, 0, -63, -9, -164, 9, -17, 62, -168, 17, -62, 63], [729, 0, 0, -729, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4850, 1470, -5317, 1582, 996, -1422, -2874, 5696, -106, 220, -5, 398, -82, 70, -28, -18, 5, -21, 47, -30], [388, 2857, -15088, -266, 0, -3039, 15088, 0, 200, 399, 42, 138, 0, -182, 0, 0, 399, 182, 30, -30], [0, -837, -3024, -99, -738, 738, 4176, 3024, 189, 0, -72, 99, 189, -99, 153, 72, 117, -153, -72, 72], [1221, -20, 0, -2953, -4056, 2933, -1221, -2392, 52, -151, 0, 0, 151, -20, -20, 0, 99, -35, -77, 0], [-1782, 1211, -1782, 1211, 634, -634, -8752, -8752, 396, -396, 55, -25, -387, -297, 25, -55, -387, 0, 0, -121], [-1890, -207, 8253, -495, -495, 0, 0, 1890, 0, -333, -63, 9, 36, 0, -180, 54, 0, 9, -63, 0], [1528, -58, 343, -486, -486, 0, 0, -1528, 0, -567, 106, -50, 170, 0, -36, -55, 0, -50, 106, 0], [23530, 783, 23530, 783, 1347, -1347, -21669, -21669, -93, 93, -45, -307, -870, 311, 307, 45, -870, 0, 0, 13], [-729, -81, 0, 243, 324, -324, 729, -324, -162, 0, 0, 0, 0, -81, -81, 0, 162, -81, -81, 0], [0, -1281, 13399, 479, -1760, 3843, -4606, -13399, -608, 0, 145, -479, -608, 479, 587, 1, -284, -587, -1, -145], [-7804, -1089, -5003, -3609, 0, 996, 5003, 0, 865, -707, -37, -124, 0, -93, 0, 0, -707, 93, 3, -3], [-2430, -972, 6867, 639, 162, -576, -8802, -144, 189, -234, -99, -45, -135, -117, 99, 117, -441, 63, -63, 45], [-2678, -660, -8546, -2154, 0, 550, 8546, 0, -530, 319, 132, -187, 0, -110, 0, 0, 319, 110, 44, -44], [0, -2343, -19073, 233, -2576, 1694, 37240, 19073, 280, 0, 3, -233, 280, 233, 587, 33, 529, -587, -33, -3], [81, 252, 0, 522, 864, -270, -81, 3897, 144, 180, 0, 0, -180, 252, 252, -27, -324, -297, -90, -27], [-16093, 3488, -16093, 3488, -1579, 1579, -20147, -20147, -415, 415, 140, 300, -9, -259, -300, -140, -9, 0, 0, 35], [13221, 806, 12581, 1588, 1588, 0, 0, -13221, 0, 290, -39, -379, -314, 0, -38, -97, 0, -379, -39, 0], [2025, 405, -2511, -972, -972, 0, 0, -2025, 0, 162, 0, 162, -162, 0, 81, -81, 0, 162, 0, 0], [17469, -114, 17469, -114, 210, -210, -9935, -9935, 81, -81, 67, 466, 1123, 152, -466, -67, 1123, 0, 0, 15], [11110, -83, 0, -37, 3326, -46, -11110, 27134, 887, -832, 0, 0, 832, -83, -83, 35, -55, -206, -82, 35], [0, 720, 8352, 234, 486, -198, -2322, -8352, 279, 0, -54, -234, 279, 234, -54, 171, -198, 54, -171, 54], [-6680, -2795, -20419, -4467, 0, 2816, 20419, 0, 497, 553, 122, 500, 0, 21, 0, 0, 553, -21, 229, -229], [-30025, 3955, -14853, 4295, -742, -2970, 9411, 14444, -695, 1384, 1, -403, -668, 329, 200, 39, -114, 364, -33, 50], [-12366, 2529, -7776, 2295, 0, -2412, 7776, 0, -513, 99, -99, 99, 0, 117, 0, 0, 99, -117, -99, 99], [0, -2656, -28602, -334, -2322, 44, 16473, 28602, 143, 0, 71, 334, 143, -334, -1169, -80, -994, 1169, 80, -71], [-20245, 41, 0, 2694, 3750, -2653, 20245, 38699, -462, -336, 0, 0, 336, 41, 41, 127, 798, 277, -123, 127], [-6561, 0, -6561, 0, 0, 0, 6561, 6561, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2186, -4422, 41036, -2088, -2088, 0, 0, -2186, 0, -340, 99, 397, -121, 0, -122, -110, 0, 397, 99, 0], [15185, -608, -11089, -4626, -4626, 0, 0, -15185, 0, -303, -160, 114, 1035, 0, 469, 146, 0, 114, -160, 0], [14409, -603, 14409, -603, 3303, -3303, 7182, 7182, 963, -963, -198, 72, 864, -801, -72, 198, 864, 0, 0, 135], [19727, 628, 0, 7894, 2358, -7266, -19727, 6952, -2123, 1518, 0, 0, -1518, 628, 628, -25, 605, -208, 249, -25], [0, 33, 24672, -847, 880, -354, -8116, -24672, 55, 0, 33, 847, 55, -847, -770, -198, 222, 770, 198, -33], [1287, -72, -18594, 90, 0, 126, 18594, 0, 306, 81, -63, -450, 0, 54, 0, 0, 81, -54, -27, 27], [-32842, -225, 8480, -661, 3589, -844, -29483, 26416, -146, -1507, 127, -759, 594, -33, -58, 0, -191, -830, 24, -19], [11099, 1435, 1896, -185, 0, -848, -1896, 0, 548, 157, -277, 479, 0, 587, 0, 0, 157, -587, -102, 102], [0, 324, -8991, 405, -81, 1944, 5670, 8991, -81, 0, 81, -405, -81, 405, 162, -162, -162, -162, 162, -81], [15404, -1101, 0, -5253, -1138, 4152, -15404, 37524, 485, 37, 0, 0, -37, -1101, -1101, -126, -522, 825, 570, -126], [-20143, -2393, -20143, -2393, -602, 602, -16215, -16215, -105, 105, -313, 167, -165, 793, -167, 313, -165, 0, 0, 315], [459, 5616, 12807, 1278, 1278, 0, 0, -459, 0, 297, 90, 117, 189, 0, 594, -63, 0, 117, 90, 0], [26448, 1518, -27852, 8936, 8936, 0, 0, -26448, 0, 447, 6, -686, -1331, 0, 757, 67, 0, -686, 6, 0], [63827, -4812, 63827, -4812, -2730, 2730, -67395, -67395, -682, 682, -56, 165, 454, -1236, -165, 56, 454, 0, 0, -57], [20250, 522, 0, -4338, -2007, 4860, -20250, -10674, -909, 1251, 0, 0, -1251, 522, 522, -18, -342, 144, 216, -18], [0, 570, 29218, -1380, 1950, -5070, -2182, -29218, 1471, 0, -394, 1380, 1471, -1380, -872, -219, 864, 872, 219, 394], [-116760, 1010, 1371, 10433, 0, -713, -1371, 0, -2813, 274, 78, 186, 0, 297, 0, 0, 274, -297, -367, 367], [-4212, -810, -1620, -648, -2106, 1296, -7776, -405, 405, -162, 81, 243, -81, -162, -324, -243, -324, 324, 0, -81], [-30965, -6938, -27640, -5588, 0, 6767, 27640, 0, 385, -1208, 83, -667, 0, -171, 0, 0, -1208, 171, 31, -31]]}