G := sub; involutions := [ [ G!(1, 276)(2, 757)(3, 780)(4, 450)(5, 349)(6, 715)(7, 150)(8, 598)(9, 515)(10, 662)(11, 519)(12, 410)(13, 701)(14, 624)(15, 506)(17, 176)(18, 59)(19, 346)(20, 712)(21, 355)(22, 208)(23, 314)(24, 775)(25, 787)(26, 147)(27, 460)(28, 592)(29, 381)(30, 137)(32, 384)(33, 752)(34, 218)(35, 663)(36, 497)(37, 414)(38, 434)(39, 215)(41, 258)(42, 86)(43, 173)(44, 383)(45, 126)(46, 201)(47, 129)(48, 168)(49, 608)(50, 555)(51, 613)(52, 248)(53, 265)(54, 394)(55, 100)(56, 532)(57, 654)(58, 205)(60, 249)(61, 455)(62, 499)(63, 68)(64, 429)(65, 535)(66, 259)(67, 169)(69, 636)(70, 485)(71, 345)(72, 431)(73, 492)(74, 195)(75, 227)(76, 564)(77, 528)(78, 630)(79, 230)(80, 356)(81, 582)(82, 260)(83, 103)(84, 108)(85, 396)(87, 167)(88, 376)(89, 670)(90, 737)(91, 232)(92, 510)(93, 175)(94, 802)(95, 508)(97, 194)(98, 309)(99, 365)(101, 380)(102, 550)(104, 244)(105, 471)(106, 477)(107, 755)(109, 193)(110, 116)(111, 130)(112, 759)(113, 163)(114, 459)(115, 776)(117, 546)(118, 618)(119, 596)(120, 451)(121, 488)(122, 277)(123, 466)(124, 210)(125, 456)(128, 149)(132, 310)(133, 772)(134, 216)(135, 655)(136, 438)(138, 634)(139, 743)(141, 405)(142, 366)(143, 274)(144, 667)(145, 639)(146, 709)(148, 785)(151, 741)(152, 287)(153, 753)(154, 266)(155, 791)(156, 374)(157, 551)(159, 693)(160, 650)(161, 325)(162, 527)(164, 707)(165, 263)(166, 339)(170, 685)(171, 747)(172, 710)(174, 635)(177, 553)(178, 200)(179, 563)(180, 235)(181, 261)(182, 302)(183, 452)(184, 185)(186, 602)(187, 189)(188, 403)(190, 626)(191, 629)(196, 407)(197, 221)(198, 731)(202, 285)(203, 311)(204, 548)(206, 600)(207, 316)(209, 611)(211, 533)(212, 566)(213, 404)(214, 390)(217, 219)(220, 364)(222, 398)(223, 681)(224, 750)(225, 267)(226, 387)(228, 271)(229, 304)(231, 362)(233, 573)(234, 465)(236, 795)(237, 568)(238, 676)(239, 637)(240, 749)(241, 504)(242, 742)(243, 473)(245, 773)(246, 607)(247, 664)(250, 426)(251, 279)(252, 375)(253, 656)(255, 303)(256, 454)(257, 648)(262, 713)(264, 350)(268, 294)(270, 288)(272, 760)(273, 389)(275, 610)(278, 730)(280, 369)(281, 337)(282, 299)(283, 332)(284, 579)(286, 415)(289, 649)(290, 734)(291, 444)(292, 385)(293, 682)(295, 323)(296, 430)(297, 307)(298, 789)(300, 733)(301, 647)(305, 517)(306, 633)(308, 536)(312, 552)(313, 632)(315, 786)(317, 562)(319, 728)(320, 660)(321, 671)(322, 766)(324, 794)(326, 542)(327, 588)(328, 771)(329, 717)(330, 353)(331, 505)(333, 428)(334, 567)(335, 442)(338, 638)(340, 416)(341, 813)(342, 619)(343, 765)(344, 799)(347, 601)(348, 557)(351, 659)(352, 736)(354, 708)(357, 644)(358, 764)(359, 627)(360, 642)(361, 694)(363, 792)(367, 696)(368, 595)(370, 714)(371, 461)(372, 449)(373, 500)(377, 661)(378, 605)(379, 463)(382, 793)(386, 427)(388, 524)(391, 673)(392, 646)(393, 762)(395, 521)(397, 411)(399, 770)(400, 706)(401, 501)(406, 678)(408, 526)(409, 784)(412, 778)(413, 561)(417, 591)(418, 806)(419, 479)(420, 758)(421, 594)(422, 819)(424, 643)(425, 698)(432, 614)(433, 761)(435, 447)(436, 774)(437, 651)(439, 609)(440, 814)(441, 680)(443, 652)(445, 744)(446, 475)(448, 575)(453, 470)(457, 689)(458, 788)(462, 816)(464, 522)(467, 740)(468, 469)(472, 723)(474, 574)(476, 699)(478, 576)(480, 547)(481, 543)(482, 616)(483, 818)(484, 804)(486, 545)(487, 518)(489, 675)(490, 686)(491, 631)(493, 538)(494, 748)(495, 621)(496, 702)(498, 589)(502, 725)(503, 617)(507, 691)(509, 554)(511, 801)(512, 768)(513, 705)(514, 544)(516, 695)(520, 580)(523, 593)(525, 565)(529, 697)(530, 586)(534, 704)(539, 798)(540, 779)(541, 817)(549, 732)(556, 560)(558, 811)(559, 657)(569, 606)(570, 718)(571, 739)(577, 578)(581, 711)(584, 746)(585, 803)(587, 615)(590, 763)(597, 719)(599, 687)(603, 720)(612, 812)(622, 796)(623, 777)(625, 683)(640, 782)(641, 692)(645, 674)(653, 666)(665, 745)(668, 800)(672, 703)(677, 783)(679, 726)(684, 810)(688, 721)(690, 781)(700, 751)(722, 797)(724, 756)(727, 769)(735, 738)(754, 809)(767, 808)(790, 807)(805, 815), G!(1, 469)(2, 351)(3, 304)(4, 211)(5, 388)(6, 97)(7, 37)(8, 650)(9, 271)(11, 296)(12, 526)(13, 588)(14, 689)(15, 812)(16, 40)(17, 177)(18, 240)(19, 544)(20, 543)(21, 52)(22, 119)(23, 146)(24, 447)(25, 524)(26, 248)(27, 590)(28, 272)(29, 415)(30, 591)(31, 800)(32, 615)(33, 144)(34, 687)(35, 152)(36, 780)(38, 675)(39, 139)(41, 237)(42, 142)(43, 121)(44, 748)(45, 744)(46, 625)(47, 455)(48, 737)(49, 680)(50, 720)(51, 468)(53, 187)(54, 355)(55, 364)(56, 734)(57, 307)(58, 575)(59, 135)(60, 593)(61, 599)(62, 713)(63, 350)(64, 785)(65, 241)(66, 511)(67, 770)(68, 515)(69, 227)(70, 622)(71, 165)(72, 288)(73, 533)(74, 747)(75, 92)(76, 105)(77, 565)(78, 716)(79, 612)(80, 685)(81, 472)(82, 626)(83, 577)(84, 698)(85, 145)(86, 792)(87, 244)(88, 647)(89, 301)(90, 438)(91, 553)(93, 634)(94, 318)(95, 481)(96, 802)(98, 342)(99, 416)(100, 456)(101, 498)(102, 793)(103, 722)(104, 316)(106, 816)(107, 528)(108, 263)(109, 362)(110, 131)(111, 314)(112, 527)(113, 359)(114, 643)(115, 705)(116, 658)(117, 640)(118, 729)(120, 781)(122, 486)(123, 776)(124, 439)(125, 353)(126, 320)(127, 529)(128, 409)(129, 218)(130, 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534)(307, 617)(308, 652)(309, 553)(310, 742)(311, 396)(312, 546)(313, 482)(317, 728)(319, 421)(320, 533)(321, 786)(322, 381)(324, 407)(325, 781)(327, 791)(328, 471)(329, 451)(331, 349)(332, 558)(333, 706)(334, 559)(336, 572)(340, 561)(343, 591)(344, 606)(345, 373)(347, 532)(350, 536)(353, 405)(354, 622)(356, 446)(359, 548)(360, 420)(362, 729)(365, 642)(366, 392)(368, 662)(369, 784)(370, 429)(371, 376)(372, 395)(374, 756)(378, 453)(379, 550)(380, 673)(382, 514)(383, 492)(387, 485)(390, 772)(399, 694)(400, 610)(401, 436)(409, 789)(412, 611)(413, 727)(414, 577)(416, 522)(417, 811)(419, 535)(422, 578)(426, 597)(428, 680)(431, 711)(433, 518)(434, 590)(438, 690)(439, 752)(440, 502)(442, 447)(443, 486)(444, 623)(445, 619)(448, 503)(450, 569)(454, 733)(455, 581)(456, 717)(458, 787)(459, 594)(460, 675)(463, 554)(464, 769)(469, 582)(470, 705)(474, 621)(475, 601)(477, 798)(478, 712)(479, 651)(480, 773)(481, 793)(483, 665)(488, 574)(489, 700)(490, 668)(491, 509)(493, 734)(494, 584)(495, 699)(496, 803)(497, 676)(500, 635)(505, 678)(508, 661)(510, 762)(515, 813)(519, 797)(523, 686)(526, 612)(527, 599)(530, 575)(539, 648)(540, 663)(542, 714)(543, 718)(544, 570)(547, 600)(551, 615)(557, 719)(560, 580)(563, 656)(564, 688)(565, 627)(567, 724)(568, 620)(571, 650)(573, 605)(576, 666)(583, 613)(592, 696)(593, 810)(596, 761)(607, 739)(608, 808)(624, 807)(625, 815)(626, 632)(630, 689)(633, 788)(634, 725)(639, 817)(649, 776)(653, 693)(654, 763)(659, 812)(660, 806)(667, 766)(677, 703)(682, 792)(683, 780)(684, 800)(701, 809)(707, 764)(708, 796)(713, 782)(736, 750)(738, 777)(741, 751)(746, 779)(770, 790)(771, 774)(775, 802) ] , [ G!(1, 551)(2, 428)(3, 5)(4, 98)(6, 231)(7, 66)(8, 515)(9, 778)(10, 334)(11, 95)(12, 77)(13, 407)(14, 635)(15, 703)(16, 770)(17, 145)(18, 146)(20, 118)(21, 114)(22, 677)(23, 548)(24, 188)(25, 425)(26, 689)(27, 306)(28, 217)(29, 183)(30, 715)(32, 473)(33, 365)(34, 75)(35, 755)(36, 347)(37, 402)(38, 126)(39, 471)(40, 687)(41, 611)(42, 429)(43, 373)(44, 662)(45, 123)(46, 71)(47, 605)(48, 470)(49, 588)(50, 604)(51, 628)(52, 469)(53, 723)(54, 701)(55, 352)(56, 578)(57, 326)(58, 350)(59, 722)(60, 348)(61, 159)(62, 610)(63, 785)(64, 720)(65, 777)(67, 261)(68, 638)(69, 154)(70, 465)(72, 192)(73, 287)(74, 601)(76, 278)(78, 501)(79, 629)(80, 483)(81, 361)(82, 615)(83, 156)(84, 626)(85, 600)(86, 447)(87, 332)(88, 498)(89, 474)(90, 207)(91, 645)(92, 566)(93, 376)(94, 105)(96, 714)(97, 746)(99, 759)(100, 232)(101, 104)(102, 127)(103, 512)(106, 342)(107, 539)(108, 569)(109, 283)(110, 165)(111, 403)(112, 765)(113, 279)(116, 358)(117, 725)(119, 753)(120, 656)(121, 504)(122, 805)(124, 252)(125, 779)(128, 651)(129, 675)(130, 558)(131, 511)(132, 680)(133, 538)(134, 560)(135, 625)(136, 663)(137, 415)(138, 139)(140, 434)(141, 658)(142, 300)(143, 264)(144, 331)(147, 696)(148, 650)(149, 622)(150, 330)(151, 226)(152, 155)(153, 536)(157, 525)(158, 367)(160, 223)(161, 743)(162, 418)(163, 756)(164, 441)(166, 303)(167, 685)(168, 762)(169, 393)(170, 366)(172, 751)(173, 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814)(780, 810)(783, 809)(785, 787) ] ]; geometries := [* *]; for i in [1..#involutions] do G1 := sub; G2 := sub; G3 := sub; Append(~geometries,CosetGeometry(G,{G1,G2,G3})); end for;