G := PSU(3,27);

involutions :=

[
[
    G!(1, 4264)(2, 14245)(3, 19076)(4, 627)(5, 3562)(6, 8084)(7, 7270)(8, 
        17726)(9, 7326)(10, 4389)(11, 19573)(12, 19231)(13, 14091)(14, 1414)(15,
        12192)(16, 13710)(17, 18046)(18, 11544)(19, 3653)(20, 4824)(21, 
        14755)(22, 12846)(23, 4364)(24, 3489)(25, 11503)(26, 2009)(27, 
        12269)(28, 15323)(29, 14820)(30, 18121)(31, 1707)(32, 7164)(33, 
        5927)(34, 18471)(35, 9803)(36, 10766)(37, 3132)(38, 16651)(39, 
        17979)(40, 90)(41, 16448)(42, 5602)(43, 5883)(44, 7180)(45, 14733)(46, 
        14443)(47, 5794)(48, 15628)(49, 10979)(50, 16069)(51, 11763)(52, 
        5909)(53, 3601)(54, 2578)(55, 4672)(56, 6211)(57, 6515)(58, 478)(59, 
        181)(60, 1043)(61, 8445)(62, 7761)(63, 2824)(64, 9491)(65, 15694)(66, 
        13017)(67, 18186)(68, 15897)(69, 7426)(70, 17018)(71, 9048)(72, 
        6445)(73, 1658)(74, 6877)(75, 15854)(76, 7328)(77, 10570)(78, 14096)(79,
        16783)(80, 19031)(81, 15265)(82, 228)(83, 3483)(84, 2802)(85, 11225)(86,
        8816)(87, 6539)(88, 11276)(89, 6772)(91, 18661)(92, 4434)(93, 6636)(94, 
        11537)(95, 14349)(96, 12596)(97, 13244)(98, 13221)(99, 3219)(100, 
        9215)(101, 13849)(102, 10268)(103, 2342)(104, 713)(105, 8636)(106, 
        19635)(107, 8143)(108, 7081)(109, 10234)(110, 16907)(111, 18977)(112, 
        12079)(113, 18568)(114, 8083)(115, 6278)(116, 730)(117, 9136)(118, 
        3753)(119, 5483)(120, 16210)(121, 16589)(122, 13679)(123, 13573)(124, 
        6917)(125, 5669)(126, 11902)(127, 5386)(128, 11326)(129, 7399)(130, 
        16480)(131, 6853)(132, 2373)(133, 15040)(134, 10149)(135, 12665)(136, 
        8904)(137, 13349)(138, 6745)(139, 6796)(140, 985)(141, 13721)(142, 
        1775)(143, 5061)(144, 10660)(145, 937)(146, 2583)(147, 10818)(148, 
        15647)(149, 18054)(150, 3293)(151, 13431)(152, 11173)(153, 7279)(154, 
        14518)(155, 7691)(156, 17090)(157, 5942)(158, 5590)(159, 3231)(160, 
        3847)(161, 1648)(162, 15722)(163, 10054)(164, 11684)(165, 11677)(166, 
        6907)(167, 16099)(168, 10029)(169, 615)(170, 19134)(171, 16608)(172, 
        13010)(173, 3451)(174, 5755)(175, 9493)(176, 14182)(177, 12297)(178, 
        9284)(179, 7697)(180, 11911)(182, 15462)(183, 3673)(184, 10179)(185, 
        14236)(186, 11829)(187, 11133)(188, 10321)(189, 8241)(190, 1169)(191, 
        1445)(192, 2636)(193, 4480)(194, 8154)(195, 16483)(196, 7242)(197, 
        2655)(198, 16249)(199, 11435)(200, 18082)(201, 7569)(202, 16147)(203, 
        14994)(204, 10985)(205, 2114)(206, 6146)(207, 4796)(208, 3355)(209, 
        7830)(210, 16032)(211, 9054)(212, 18061)(213, 2060)(214, 4801)(215, 
        2297)(216, 10286)(217, 6502)(218, 9449)(219, 18470)(220, 2956)(221, 
        17335)(222, 10350)(223, 1313)(224, 4223)(225, 13550)(226, 5734)(227, 
        16010)(229, 13639)(230, 14827)(231, 2092)(232, 3264)(233, 6536)(234, 
        10338)(235, 7622)(236, 6547)(237, 4257)(238, 8246)(239, 11132)(240, 
        11790)(241, 9095)(242, 19270)(243, 14642)(244, 8715)(245, 3236)(246, 
        15019)(247, 18481)(248, 6710)(249, 7521)(250, 9758)(251, 3615)(252, 
        13070)(253, 10661)(254, 1323)(255, 301)(256, 9153)(257, 13052)(258, 
        11736)(259, 5973)(260, 18307)(261, 17484)(262, 5309)(263, 9514)(264, 
        12019)(265, 18413)(266, 16915)(267, 5390)(268, 14676)(269, 16723)(270, 
        6516)(271, 5311)(272, 853)(273, 19532)(274, 14337)(275, 10836)(276, 
        10653)(277, 19192)(278, 11733)(279, 17233)(280, 12339)(281, 10348)(282, 
        12272)(283, 17862)(284, 14693)(285, 5716)(286, 19023)(287, 19067)(288, 
        7321)(289, 12635)(290, 6203)(291, 15814)(292, 9656)(293, 1847)(294, 
        6461)(295, 444)(296, 6949)(297, 7308)(298, 15632)(299, 9091)(300, 
        5858)(302, 15775)(303, 13675)(304, 13075)(305, 11003)(306, 15534)(307, 
        12200)(308, 1913)(309, 2573)(310, 4457)(311, 2310)(312, 18635)(313, 
        1754)(314, 3512)(315, 11079)(316, 5328)(317, 10792)(318, 10256)(319, 
        8097)(320, 4469)(321, 13790)(322, 17055)(323, 1161)(324, 2127)(325, 
        5963)(326, 10329)(327, 15501)(328, 16954)(329, 10060)(330, 1293)(331, 
        18166)(332, 8208)(333, 13610)(334, 15577)(335, 15333)(336, 843)(337, 
        4781)(338, 2216)(339, 5132)(340, 1146)(341, 2483)(342, 14617)(343, 
        9608)(344, 4960)(345, 18386)(346, 4031)(347, 10115)(348, 8352)(349, 
        7725)(350, 18590)(351, 19590)(352, 7560)(353, 6711)(354, 9326)(355, 
        1572)(356, 4132)(357, 1723)(358, 2048)(359, 12522)(360, 14179)(361, 
        16699)(362, 17705)(363, 1690)(364, 2968)(365, 882)(366, 13242)(367, 
        8037)(368, 3706)(369, 10755)(370, 7760)(371, 15847)(372, 7780)(373, 
        6083)(374, 6039)(375, 15183)(376, 17076)(377, 8085)(378, 18819)(379, 
        19082)(380, 10510)(381, 12484)(382, 11844)(383, 15181)(384, 13040)(385, 
        14911)(386, 10191)(387, 17276)(388, 19085)(389, 16497)(390, 9686)(391, 
        3887)(392, 11497)(393, 3027)(394, 18080)(395, 10276)(396, 17221)(397, 
        8546)(398, 14136)(399, 12775)(400, 13804)(401, 11084)(402, 5387)(403, 
        10065)(404, 12834)(405, 7489)(406, 12409)(407, 15084)(408, 959)(409, 
        3042)(410, 18738)(411, 1395)(412, 3000)(413, 15692)(414, 10816)(415, 
        15915)(416, 6373)(417, 833)(418, 2150)(419, 3389)(420, 18948)(421, 
        7889)(422, 15983)(423, 8873)(424, 8477)(425, 18900)(426, 11580)(427, 
        9559)(428, 4260)(429, 10910)(430, 16258)(431, 19433)(432, 8738)(433, 
        13335)(434, 16282)(435, 2276)(436, 799)(437, 7930)(438, 16135)(439, 
        16861)(440, 9422)(441, 11771)(442, 14371)(443, 18043)(445, 19156)(446, 
        931)(447, 8091)(448, 10449)(449, 14211)(450, 12142)(451, 14146)(452, 
        8896)(453, 1786)(454, 2097)(455, 15670)(456, 10215)(457, 17161)(458, 
        527)(459, 11894)(460, 2538)(461, 7518)(462, 18170)(463, 6916)(464, 
        2526)(465, 13281)(466, 17064)(467, 1193)(468, 11350)(469, 13752)(470, 
        4453)(471, 10568)(472, 7028)(473, 6977)(474, 12324)(475, 8518)(476, 
        15440)(477, 11564)(479, 18854)(480, 8356)(481, 18988)(482, 19544)(483, 
        19017)(484, 15728)(485, 1081)(486, 15931)(487, 18767)(488, 11481)(489, 
        14638)(490, 7974)(491, 16469)(492, 18799)(493, 12401)(494, 10775)(495, 
        14273)(496, 17509)(497, 13318)(498, 15557)(499, 3576)(500, 781)(501, 
        6184)(502, 12552)(503, 16866)(504, 18716)(505, 11880)(506, 9545)(507, 
        15663)(508, 14772)(509, 11113)(510, 16289)(511, 14071)(512, 14941)(513, 
        17927)(514, 10788)(515, 13142)(516, 6171)(517, 16959)(518, 802)(519, 
        17450)(520, 14931)(521, 1724)(522, 16441)(523, 16090)(524, 9982)(525, 
        16400)(526, 15582)(528, 11517)(529, 7989)(530, 3940)(531, 2179)(532, 
        2167)(533, 10135)(534, 6313)(535, 3072)(536, 10424)(537, 2073)(538, 
        5531)(539, 16872)(540, 6656)(541, 4656)(542, 12519)(543, 10089)(544, 
        10555)(545, 10571)(546, 10786)(547, 9031)(548, 5822)(549, 7022)(550, 
        5345)(551, 15409)(552, 13592)(553, 17320)(554, 12741)(555, 7016)(556, 
        1968)(557, 19355)(558, 16037)(559, 10330)(560, 9589)(561, 2951)(562, 
        18215)(563, 9675)(564, 10246)(565, 17775)(566, 17483)(567, 7544)(568, 
        15754)(569, 3919)(570, 15833)(571, 5067)(572, 6587)(573, 13769)(574, 
        2387)(575, 13029)(576, 11942)(577, 15492)(578, 10112)(579, 19424)(580, 
        16138)(581, 1322)(582, 16543)(583, 15233)(584, 6283)(585, 3691)(586, 
        13751)(587, 19665)(588, 19413)(589, 6899)(590, 8408)(591, 15141)(592, 
        8357)(593, 8149)(594, 19137)(595, 13277)(596, 5263)(597, 14187)(598, 
        12959)(599, 2010)(600, 3625)(601, 5697)(602, 7377)(603, 2263)(604, 
        18656)(605, 8410)(606, 10981)(607, 6737)(608, 15327)(609, 15688)(610, 
        19625)(611, 3657)(612, 18632)(613, 10633)(614, 17059)(616, 1116)(617, 
        1611)(618, 2990)(619, 8176)(620, 14589)(621, 13911)(622, 9208)(623, 
        9378)(624, 11232)(625, 8501)(626, 4752)(628, 10853)(629, 1045)(630, 
        845)(631, 12351)(632, 811)(633, 11903)(634, 14907)(635, 17197)(636, 
        10885)(637, 2232)(638, 4090)(639, 6168)(640, 1898)(641, 14544)(642, 
        11093)(643, 13800)(644, 8157)(645, 2765)(646, 14312)(647, 11053)(648, 
        6233)(649, 10943)(650, 4399)(651, 2545)(652, 8077)(653, 8020)(654, 
        10975)(655, 15853)(656, 17108)(657, 1360)(658, 5310)(659, 945)(660, 
        7998)(661, 4549)(662, 17057)(663, 8722)(664, 3239)(665, 11892)(666, 
        1568)(667, 18849)(668, 13086)(669, 3321)(670, 5448)(671, 16769)(672, 
        5297)(673, 15690)(674, 3900)(675, 5692)(676, 6301)(677, 15554)(678, 
        12356)(679, 7628)(680, 19349)(681, 16133)(682, 15179)(683, 4093)(684, 
        16755)(685, 4766)(686, 17512)(687, 4807)(688, 4357)(689, 12819)(690, 
        14455)(691, 11817)(692, 18262)(693, 15986)(694, 6076)(695, 14578)(696, 
        2021)(697, 13593)(698, 10307)(699, 18892)(700, 4896)(701, 16542)(702, 
        16820)(703, 18162)(704, 6585)(705, 16337)(706, 7758)(707, 1300)(708, 
        15742)(709, 9047)(710, 11199)(711, 12353)(712, 5235)(714, 9442)(715, 
        14953)(716, 10059)(717, 16577)(718, 15864)(719, 7533)(720, 5749)(721, 
        6325)(722, 7967)(723, 3510)(724, 2922)(725, 9108)(726, 13820)(727, 
        18733)(728, 7296)(729, 15708)(731, 13532)(732, 12757)(733, 1479)(734, 
        9123)(735, 8479)(736, 14933)(737, 2953)(738, 19235)(739, 11628)(740, 
        4709)(741, 8672)(742, 13529)(743, 9923)(744, 11151)(745, 4369)(746, 
        17849)(747, 14184)(748, 4007)(749, 17238)(750, 12947)(751, 5743)(752, 
        11052)(753, 17905)(754, 14517)(755, 2089)(756, 13723)(757, 17676)(758, 
        17650)(759, 3325)(760, 10028)(761, 4029)(762, 14513)(763, 892)(764, 
        8660)(765, 7449)(766, 14951)(767, 4212)(768, 10999)(769, 18839)(770, 
        17398)(771, 8325)(772, 1053)(773, 10172)(774, 1014)(775, 15874)(776, 
        17454)(777, 12585)(778, 6193)(779, 7007)(780, 11835)(782, 19045)(783, 
        9571)(784, 17117)(785, 18997)(786, 9000)(787, 8755)(788, 11358)(789, 
        5060)(790, 6607)(791, 18071)(792, 1539)(793, 14445)(794, 5150)(795, 
        5022)(796, 1308)(797, 18975)(798, 9663)(800, 5581)(801, 15861)(803, 
        3499)(804, 6841)(805, 8511)(806, 18909)(807, 3048)(808, 12902)(809, 
        3392)(810, 6125)(812, 13416)(813, 10251)(814, 9413)(815, 9928)(816, 
        18275)(817, 19488)(818, 3637)(819, 12280)(820, 2753)(821, 18232)(822, 
        14452)(823, 18485)(824, 7619)(825, 8941)(826, 8966)(827, 9664)(828, 
        6472)(829, 928)(830, 5894)(831, 1393)(832, 10171)(834, 13725)(835, 
        1042)(836, 5333)(837, 15562)(838, 13266)(839, 6011)(840, 14961)(841, 
        4181)(842, 3029)(844, 12085)(846, 10749)(847, 3404)(848, 5153)(849, 
        12895)(850, 5995)(851, 13665)(852, 8132)(854, 3859)(855, 8006)(856, 
        9347)(857, 14448)(858, 4286)(859, 14361)(860, 14879)(861, 16356)(862, 
        8103)(863, 19386)(864, 6573)(865, 1564)(866, 4459)(867, 11002)(868, 
        8910)(869, 16888)(870, 3978)(871, 5903)(872, 13909)(873, 3233)(874, 
        7603)(875, 16590)(876, 17507)(877, 8993)(878, 1418)(879, 11242)(880, 
        5539)(881, 13347)(883, 14842)(884, 1350)(885, 3814)(886, 7211)(887, 
        4062)(888, 19135)(889, 16551)(890, 16146)(891, 4080)(893, 4395)(894, 
        3143)(895, 1396)(896, 16168)(897, 9414)(898, 5997)(899, 11416)(900, 
        16428)(901, 6714)(902, 19263)(903, 11001)(904, 15426)(905, 13727)(906, 
        3465)(907, 2469)(908, 9423)(909, 6389)(910, 10444)(911, 10230)(912, 
        17632)(913, 18576)(914, 8442)(915, 17823)(916, 1318)(917, 17275)(918, 
        1929)(919, 9646)(920, 15243)(921, 1609)(922, 1002)(923, 5030)(924, 
        11815)(925, 12918)(926, 13878)(927, 9008)(929, 3457)(930, 5170)(932, 
        6228)(933, 7755)(934, 15118)(935, 10148)(936, 11016)(938, 16552)(939, 
        3476)(940, 18802)(941, 5753)(942, 11375)(943, 2667)(944, 11851)(946, 
        5430)(947, 7366)(948, 14127)(949, 1742)(950, 19378)(951, 9836)(952, 
        18728)(953, 6680)(954, 3969)(955, 10403)(956, 1560)(957, 15675)(958, 
        2547)(960, 10496)(961, 15240)(962, 2211)(963, 17239)(964, 5655)(965, 
        15090)(966, 13692)(967, 3727)(968, 3913)(969, 3303)(970, 16509)(971, 
        9435)(972, 15044)(973, 17920)(974, 8098)(975, 12574)(976, 10468)(977, 
        11865)(978, 5432)(979, 12332)(980, 18209)(981, 12137)(982, 2537)(983, 
        15599)(984, 9742)(986, 6621)(987, 13988)(988, 18835)(989, 1513)(990, 
        14633)(991, 11948)(992, 1955)(993, 8678)(994, 13265)(995, 7854)(996, 
        18493)(997, 6979)(998, 14665)(999, 4024)(1000, 1384)(1001, 2994)(1003, 
        12798)(1004, 17442)(1005, 18113)(1006, 12115)(1007, 12259)(1008, 
        17329)(1009, 12070)(1010, 18540)(1011, 18826)(1012, 4857)(1013, 
        13828)(1015, 18811)(1016, 17324)(1017, 4934)(1018, 9051)(1019, 
        16188)(1020, 4083)(1021, 16139)(1022, 9674)(1023, 5480)(1024, 
        9278)(1025, 2781)(1026, 10439)(1027, 11155)(1028, 17952)(1029, 
        8772)(1030, 11467)(1031, 7217)(1032, 11996)(1033, 4254)(1034, 
        13672)(1035, 9981)(1036, 3886)(1037, 8419)(1038, 2230)(1039, 
        13992)(1040, 1447)(1041, 7559)(1044, 2357)(1046, 6414)(1047, 
        10768)(1048, 15850)(1049, 8541)(1050, 18829)(1051, 5982)(1052, 
        8813)(1054, 11208)(1055, 12447)(1056, 14871)(1057, 14963)(1058, 
        8854)(1059, 19132)(1060, 8771)(1061, 2416)(1062, 17242)(1063, 
        6284)(1064, 15170)(1065, 2607)(1066, 18570)(1067, 10772)(1068, 
        7774)(1069, 14294)(1070, 9614)(1071, 11886)(1072, 13246)(1073, 
        16466)(1074, 18463)(1075, 10085)(1076, 17691)(1077, 16125)(1078, 
        15449)(1079, 18484)(1080, 10897)(1082, 18507)(1083, 7574)(1084, 
        5112)(1085, 17366)(1086, 17488)(1087, 9381)(1088, 6601)(1089, 
        6867)(1090, 10664)(1091, 16717)(1092, 18543)(1093, 11869)(1094, 
        6708)(1095, 3604)(1096, 9301)(1097, 9930)(1098, 5586)(1099, 5378)(1100, 
        3011)(1101, 6934)(1102, 15196)(1103, 4112)(1104, 14922)(1105, 
        9176)(1106, 19679)(1107, 15685)(1108, 11267)(1109, 6109)(1110, 
        4593)(1111, 8370)(1112, 13412)(1113, 12405)(1114, 6891)(1115, 
        13362)(1117, 14364)(1118, 11012)(1119, 16057)(1120, 10270)(1121, 
        18333)(1122, 9190)(1123, 9282)(1124, 16243)(1125, 4664)(1126, 
        10824)(1127, 6033)(1128, 14964)(1129, 3179)(1130, 1516)(1131, 
        12396)(1132, 3772)(1133, 12151)(1134, 3024)(1135, 3948)(1136, 
        14709)(1137, 1637)(1138, 4409)(1139, 2013)(1140, 10056)(1141, 
        11058)(1142, 2074)(1143, 7587)(1144, 3244)(1145, 3080)(1147, 2782)(1148,
        14368)(1149, 7453)(1150, 2218)(1151, 3284)(1152, 1757)(1153, 
        16031)(1154, 8625)(1155, 11680)(1156, 3071)(1157, 5571)(1158, 
        16229)(1159, 5330)(1160, 17468)(1162, 19363)(1163, 19186)(1164, 
        16419)(1165, 12965)(1166, 18025)(1167, 5035)(1168, 15609)(1170, 
        4665)(1171, 13411)(1172, 3265)(1173, 8659)(1174, 5606)(1175, 
        14070)(1176, 14956)(1177, 3932)(1178, 7695)(1179, 9528)(1180, 
        5546)(1181, 8096)(1182, 6947)(1183, 14275)(1184, 1188)(1185, 3163)(1186,
        12256)(1187, 11540)(1189, 6812)(1190, 9063)(1191, 18163)(1192, 
        4744)(1194, 18619)(1195, 18016)(1196, 18380)(1197, 6225)(1198, 
        14154)(1199, 3890)(1200, 18102)(1201, 19476)(1202, 1630)(1203, 
        12197)(1204, 14836)(1205, 3279)(1206, 16122)(1207, 2390)(1208, 
        18311)(1209, 10909)(1210, 2814)(1211, 15104)(1212, 10750)(1213, 
        13558)(1214, 3417)(1215, 7590)(1216, 6152)(1217, 6544)(1218, 
        19506)(1219, 2969)(1220, 5195)(1221, 4033)(1222, 7051)(1223, 3633)(1224,
        11312)(1225, 14847)(1226, 11210)(1227, 8025)(1228, 12810)(1229, 
        3955)(1230, 8189)(1231, 12403)(1232, 18098)(1233, 3971)(1234, 
        16690)(1235, 2614)(1236, 1402)(1237, 2447)(1238, 4388)(1239, 7183)(1240,
        9357)(1241, 5385)(1242, 6180)(1243, 11294)(1244, 9328)(1245, 
        10405)(1246, 13317)(1247, 19008)(1249, 19107)(1250, 9583)(1251, 
        5847)(1252, 4410)(1253, 17958)(1254, 19644)(1255, 7258)(1256, 
        1709)(1257, 14384)(1258, 8570)(1259, 10973)(1260, 19101)(1261, 
        18298)(1262, 6182)(1263, 7958)(1264, 18108)(1265, 6114)(1266, 
        2794)(1267, 16110)(1268, 15481)(1269, 1390)(1270, 10516)(1271, 
        3241)(1272, 15989)(1273, 16442)(1274, 8073)(1275, 14745)(1276, 
        13929)(1277, 16897)(1278, 18175)(1279, 6205)(1280, 14790)(1281, 
        1764)(1282, 15334)(1283, 9341)(1284, 17561)(1285, 6578)(1286, 
        16098)(1287, 16879)(1288, 11634)(1289, 15473)(1290, 3965)(1291, 
        15343)(1292, 8634)(1294, 19612)(1295, 15837)(1296, 6094)(1297, 
        12430)(1298, 3257)(1299, 2725)(1301, 9857)(1302, 8305)(1303, 
        14588)(1304, 19307)(1305, 6894)(1306, 11123)(1307, 2771)(1309, 
        12838)(1310, 10998)(1311, 8923)(1312, 15657)(1314, 4102)(1315, 
        18514)(1316, 10945)(1317, 4054)(1319, 5046)(1320, 10475)(1321, 
        10966)(1324, 18535)(1325, 14079)(1326, 15774)(1327, 17080)(1328, 
        1547)(1329, 17376)(1330, 15338)(1331, 2252)(1332, 17210)(1333, 
        4595)(1334, 15088)(1335, 10899)(1336, 4448)(1337, 16437)(1338, 
        15319)(1339, 16859)(1340, 13685)(1341, 8122)(1342, 5009)(1343, 
        14094)(1344, 18338)(1345, 10809)(1346, 8313)(1347, 6982)(1348, 
        5643)(1349, 12346)(1351, 4107)(1352, 14103)(1353, 13512)(1354, 
        17921)(1355, 11944)(1356, 15921)(1357, 13874)(1358, 15673)(1359, 
        4144)(1361, 2829)(1362, 4225)(1363, 2980)(1364, 15681)(1365, 
        19164)(1366, 3408)(1367, 12799)(1368, 14121)(1369, 18852)(1370, 
        9467)(1371, 8428)(1372, 3626)(1373, 18374)(1374, 14049)(1375, 
        9463)(1376, 6359)(1377, 18636)(1378, 5698)(1379, 19177)(1380, 
        3628)(1381, 7510)(1382, 10726)(1383, 1669)(1385, 18274)(1386, 
        8367)(1387, 4230)(1388, 9712)(1389, 7452)(1391, 9949)(1392, 3693)(1394, 
        13575)(1397, 14590)(1398, 12262)(1399, 5429)(1400, 2304)(1401, 
        8964)(1403, 8521)(1404, 14110)(1405, 17264)(1406, 18501)(1407, 
        13082)(1408, 3863)(1409, 4140)(1410, 5763)(1412, 15451)(1413, 
        10258)(1415, 11185)(1416, 16673)(1417, 16985)(1419, 3829)(1420, 
        19211)(1421, 16342)(1422, 18242)(1423, 18057)(1424, 3133)(1425, 
        2439)(1426, 17078)(1427, 17670)(1428, 3435)(1429, 3836)(1430, 
        12732)(1431, 2891)(1432, 8485)(1433, 3787)(1434, 8092)(1435, 3744)(1436,
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        18833)(16704, 17640)(16705, 17514)(16721, 16880)(16727, 16845)(16728, 
        18837)(16730, 18274)(16741, 18355)(16743, 18007)(16756, 19680)(16761, 
        17014)(16762, 19624)(16773, 18552)(16774, 19428)(16778, 17590)(16779, 
        18999)(16781, 17192)(16791, 18799)(16796, 16960)(16809, 17448)(16815, 
        19320)(16816, 19220)(16821, 17985)(16822, 17023)(16826, 18028)(16829, 
        19096)(16837, 19469)(16838, 18059)(16839, 18991)(16848, 19203)(16855, 
        18582)(16868, 19481)(16870, 19063)(16874, 19550)(16878, 18539)(16883, 
        19224)(16894, 19427)(16901, 16951)(16902, 17651)(16915, 17487)(16921, 
        18084)(16924, 18489)(16940, 17659)(16958, 17735)(16959, 18338)(16963, 
        17984)(16998, 17563)(16999, 18141)(17001, 18792)(17002, 17478)(17003, 
        17185)(17011, 19151)(17021, 18562)(17025, 18070)(17044, 17281)(17045, 
        18319)(17050, 19620)(17063, 18360)(17069, 17773)(17075, 19294)(17076, 
        18285)(17077, 17398)(17081, 17844)(17083, 17972)(17085, 19144)(17090, 
        19452)(17095, 17667)(17101, 19001)(17105, 19265)(17126, 18869)(17132, 
        18687)(17146, 17762)(17170, 18197)(17173, 19079)(17175, 18462)(17176, 
        19325)(17183, 18370)(17191, 17658)(17194, 17721)(17206, 17624)(17215, 
        17781)(17217, 19157)(17230, 18694)(17238, 18235)(17244, 18211)(17249, 
        17767)(17267, 19058)(17273, 17707)(17275, 17584)(17279, 17324)(17286, 
        18636)(17295, 17820)(17319, 17378)(17325, 18795)(17330, 17887)(17338, 
        19499)(17339, 18987)(17354, 19562)(17360, 19105)(17368, 19206)(17371, 
        18224)(17374, 19544)(17390, 19554)(17412, 18196)(17423, 18946)(17424, 
        18290)(17432, 18358)(17439, 18721)(17441, 19592)(17447, 18541)(17467, 
        18626)(17471, 18851)(17473, 19252)(17493, 18676)(17500, 19092)(17507, 
        19042)(17508, 17641)(17519, 17611)(17527, 17903)(17553, 19137)(17554, 
        17783)(17560, 18085)(17575, 17895)(17587, 19139)(17598, 18351)(17601, 
        19075)(17605, 19486)(17617, 18455)(17622, 17784)(17626, 17681)(17634, 
        19211)(17639, 18490)(17646, 17946)(17650, 18220)(17654, 18930)(17666, 
        18647)(17678, 18723)(17700, 18170)(17723, 18207)(17726, 19065)(17734, 
        19352)(17741, 18143)(17742, 17745)(17766, 19188)(17803, 18656)(17807, 
        18598)(17811, 18092)(17817, 18038)(17826, 18087)(17835, 19234)(17839, 
        19396)(17842, 18842)(17875, 18410)(17885, 19675)(17893, 19448)(17899, 
        18732)(17910, 18491)(17915, 19467)(17929, 18142)(17953, 18533)(17957, 
        18968)(17987, 18722)(17993, 19551)(17994, 18079)(18003, 19655)(18025, 
        18335)(18026, 18559)(18061, 19597)(18066, 18916)(18081, 19064)(18097, 
        19019)(18102, 18253)(18104, 18293)(18118, 18938)(18125, 19621)(18136, 
        18856)(18144, 18387)(18145, 18331)(18147, 18769)(18162, 19029)(18174, 
        19199)(18188, 19660)(18194, 19672)(18202, 18204)(18209, 19603)(18218, 
        18298)(18255, 18430)(18260, 18641)(18261, 18374)(18267, 18584)(18273, 
        19085)(18318, 19053)(18345, 18451)(18367, 18563)(18368, 19342)(18380, 
        19505)(18434, 18950)(18438, 19581)(18444, 18966)(18479, 18875)(18515, 
        19275)(18554, 19470)(18557, 18932)(18578, 19631)(18602, 19583)(18607, 
        18972)(18669, 19290)(18671, 19303)(18698, 19091)(18740, 19479)(18763, 
        18942)(18794, 19386)(18830, 18988)(18878, 19107)(18976, 19670)(18983, 
        19500)(18992, 19209)(19026, 19106)(19036, 19192)(19121, 19405)(19147, 
        19355)(19197, 19456)(19202, 19491)(19240, 19542)(19323, 19548)(19595, 
        19642)
]

];

geometries := [* *];


for i in [1..#involutions] do
	G1 := sub<G|involutions[i][2],involutions[i][3]>;
	G2 := sub<G|involutions[i][1],involutions[i][3]>;
	G3 := sub<G|involutions[i][1],involutions[i][2]>;
	Append(~geometries,CosetGeometry(G,{G1,G2,G3}));
end for;