#################################################################################### #################################################################################### #################################################################################### ### ### ### ### ### TRIANGULATIONS OF AKBULUT-KIRBY SPHERES ### ### by Frank H. Lutz and Mimi Tsuruga ### ### http://matsguru.com/research/AKspheres.html ### ### ### ### name of example: ### ### ### ### AK_III_020 ### ### ### ### ### ### description: ### ### ### ### Type 3 construction of triangulation of Akbulut-Kirby sphere ### ### ### ### ### ### properties: ### ### ### ### f=(854,12264,40536,48540,19416) ### ### H_*=(Z,0,0,0,Z) ### ### PL 4-sphere ### ### ### ### ### ### references: ### ### ### ### Frank H. Lutz and Mimi Tsuruga. ### ### Constructing complicated spheres. ### ### arXiv:1302.6856[math.CO], 2013. ### ### ### ### ### #################################################################################### #################################################################################### #################################################################################### facets:=[ [0,1,2,5,569],[0,1,2,35,599],[0,1,2,566,569],[0,1,2,566,599], [0,1,4,5,569],[0,1,4,286,568],[0,1,4,568,569],[0,1,34,35,599], [0,1,34,274,556],[0,1,34,274,838],[0,1,34,316,556],[0,1,34,598,599], [0,1,34,598,838],[0,1,273,274,556],[0,1,273,274,838],[0,1,273,555,556], [0,1,273,555,837],[0,1,273,837,838],[0,1,283,286,568],[0,1,283,316,556], [0,1,283,555,556],[0,1,283,555,837],[0,1,565,566,569],[0,1,565,566,599], [0,1,283,565,568],[0,1,565,568,569],[0,1,565,598,599],[0,1,565,598,838], [0,1,283,565,837],[0,1,565,837,838],[0,2,5,26,308],[0,2,5,26,590], [2,5,26,308,590],[0,2,5,287,308],[2,5,287,308,590],[0,2,5,569,590], [2,5,287,569,590],[0,2,26,29,311],[0,2,26,29,593],[2,26,29,311,593], [0,2,26,308,311],[2,26,308,311,593],[0,2,26,590,593],[2,26,308,590,593], [0,2,29,277,559],[0,2,29,277,841],[0,2,29,311,559],[0,2,29,593,841], [0,2,35,277,559],[0,2,35,277,841],[0,2,35,317,559],[0,2,35,599,841], [0,2,284,287,308],[2,284,287,308,590],[2,284,287,569,590],[0,2,284,308,311], [2,284,308,311,593],[2,284,308,590,593],[0,2,284,311,559],[0,2,284,317,559], [0,2,566,569,590],[2,284,566,569,590],[0,2,566,590,593],[2,284,566,590,593], [0,2,566,593,841],[0,2,566,599,841],[0,3,4,5,569],[0,3,4,286,568], [0,3,4,568,569],[0,3,5,26,308],[0,3,5,26,590],[0,3,5,287,308], [0,3,5,569,590],[0,3,24,26,308],[0,3,24,26,590],[0,3,24,306,308], [0,3,24,306,588],[0,3,24,588,590],[0,3,285,286,568],[0,3,285,287,308], [0,3,285,306,308],[0,3,285,306,588],[0,3,285,567,568],[0,3,567,568,569], [0,3,567,569,590],[0,3,285,567,588],[0,3,567,588,590],[0,24,26,29,311], [0,24,26,29,593],[0,24,26,308,311],[0,24,26,590,593],[0,24,27,29,311], [0,24,27,29,593],[0,24,27,309,311],[0,24,27,309,591],[0,24,27,591,593], [0,24,306,308,311],[0,24,306,309,311],[0,24,306,309,591],[0,24,588,590,593], [0,24,306,588,591],[0,24,588,591,593],[0,27,29,277,559],[0,27,29,277,841], [0,27,29,311,559],[0,27,29,593,841],[0,27,270,274,556],[0,27,270,274,838], [0,27,270,277,559],[0,27,270,277,841],[0,27,270,552,556],[0,27,270,552,559], [0,27,270,834,838],[0,27,270,834,841],[0,27,273,274,556],[0,27,273,274,838], [0,27,273,555,556],[0,27,273,555,837],[0,27,273,837,838],[0,27,309,311,559], [0,27,309,552,556],[0,27,309,552,559],[0,27,309,555,556],[0,27,309,555,837], [0,27,591,593,841],[0,27,591,834,838],[0,27,591,834,841],[0,27,309,591,837], [0,27,591,837,838],[0,33,34,35,599],[0,33,34,274,556],[0,33,34,274,838], [0,33,34,316,556],[0,33,34,598,599],[0,33,34,598,838],[0,33,35,277,559], [0,33,35,277,841],[0,33,35,317,559],[0,33,35,599,841],[0,33,270,274,556], [0,33,270,274,838],[0,33,270,277,559],[0,33,270,277,841],[0,33,270,552,556], [0,33,270,552,559],[0,33,270,834,838],[0,33,270,834,841],[0,33,315,316,556], [0,33,315,317,559],[0,33,315,552,556],[0,33,315,552,559],[0,33,597,598,599], [0,33,597,598,838],[0,33,597,599,841],[0,33,597,834,838],[0,33,597,834,841], [282,283,284,287,569],[282,283,284,317,599],[282,283,284,566,569],[282,283,284,566,599], [282,283,286,287,569],[0,282,283,286,568],[282,283,286,568,569],[282,283,316,317,599], [0,282,283,316,556],[282,283,316,556,838],[282,283,316,598,599],[282,283,316,598,838], [0,282,283,555,556],[282,283,555,556,838],[0,282,283,555,837],[282,283,555,837,838], [282,283,565,566,569],[282,283,565,566,599],[0,282,283,565,568],[282,283,565,568,569], [282,283,565,598,599],[282,283,565,598,838],[0,282,283,565,837],[282,283,565,837,838], [0,282,284,287,308],[282,284,287,308,590],[282,284,287,569,590],[0,282,284,308,311], [282,284,308,311,593],[282,284,308,590,593],[0,282,284,311,559],[282,284,311,559,841], [282,284,311,593,841],[0,282,284,317,559],[282,284,317,559,841],[282,284,317,599,841], [282,284,566,569,590],[282,284,566,590,593],[282,284,566,593,841],[282,284,566,599,841], [282,285,286,287,569],[0,282,285,286,568],[282,285,286,568,569],[0,282,285,287,308], [282,285,287,308,590],[282,285,287,569,590],[0,282,285,306,308],[282,285,306,308,590], [0,282,285,306,588],[282,285,306,588,590],[0,282,285,567,568],[282,285,567,568,569], [282,285,567,569,590],[0,282,285,567,588],[282,285,567,588,590],[0,282,306,308,311], [282,306,308,311,593],[282,306,308,590,593],[0,282,306,309,311],[282,306,309,311,593], [0,282,306,309,591],[282,306,309,591,593],[282,306,588,590,593],[0,282,306,588,591], [282,306,588,591,593],[0,282,309,311,559],[282,309,311,559,841],[282,309,311,593,841], [0,282,309,552,556],[282,309,552,556,838],[0,282,309,552,559],[282,309,552,559,841], [282,309,552,834,838],[282,309,552,834,841],[0,282,309,555,556],[282,309,555,556,838], [0,282,309,555,837],[282,309,555,837,838],[282,309,591,593,841],[282,309,591,834,838], [282,309,591,834,841],[0,282,309,591,837],[282,309,591,837,838],[282,315,316,317,599], [0,282,315,316,556],[282,315,316,556,838],[282,315,316,598,599],[282,315,316,598,838], [0,282,315,317,559],[282,315,317,559,841],[282,315,317,599,841],[0,282,315,552,556], [282,315,552,556,838],[0,282,315,552,559],[282,315,552,559,841],[282,315,552,834,838], [282,315,552,834,841],[282,315,597,598,599],[282,315,597,598,838],[282,315,597,599,841], [282,315,597,834,838],[282,315,597,834,841],[0,564,565,566,569],[282,564,565,566,569], [0,564,565,566,599],[282,564,565,566,599],[0,282,564,565,568],[0,564,565,568,569], [282,564,565,568,569],[0,564,565,598,599],[282,564,565,598,599],[0,564,565,598,838], [282,564,565,598,838],[0,282,564,565,837],[0,564,565,837,838],[282,564,565,837,838], [0,564,566,569,590],[282,564,566,569,590],[0,564,566,590,593],[282,564,566,590,593], [0,564,566,593,841],[282,564,566,593,841],[0,564,566,599,841],[282,564,566,599,841], [0,282,564,567,568],[0,564,567,568,569],[282,564,567,568,569],[0,564,567,569,590], [282,564,567,569,590],[0,282,564,567,588],[0,564,567,588,590],[282,564,567,588,590], [0,564,588,590,593],[282,564,588,590,593],[0,282,564,588,591],[0,564,588,591,593], [282,564,588,591,593],[0,564,591,593,841],[282,564,591,593,841],[0,564,591,834,838], [282,564,591,834,838],[0,564,591,834,841],[282,564,591,834,841],[0,282,564,591,837], [0,564,591,837,838],[282,564,591,837,838],[0,564,597,598,599],[282,564,597,598,599], [0,564,597,598,838],[282,564,597,598,838],[0,564,597,599,841],[282,564,597,599,841], [0,564,597,834,838],[282,564,597,834,838],[0,564,597,834,841],[282,564,597,834,841], [1,2,5,41,323],[1,2,5,41,605],[2,5,41,323,605],[1,2,5,287,323], [2,5,287,323,605],[1,2,5,569,605],[2,5,287,569,605],[1,2,35,277,559], [1,2,35,277,841],[1,2,35,317,559],[1,2,35,599,841],[1,2,38,41,323], [1,2,38,41,605],[2,38,41,323,605],[1,2,38,280,562],[1,2,38,280,844], [1,2,38,320,323],[2,38,320,323,605],[1,2,38,320,562],[1,2,38,602,605], [2,38,320,602,605],[1,2,38,602,844],[1,2,276,277,559],[1,2,276,277,841], [1,2,276,280,562],[1,2,276,280,844],[1,2,276,558,559],[1,2,276,558,562], [1,2,276,840,841],[1,2,276,840,844],[1,2,284,287,323],[2,284,287,323,605], [2,284,287,569,605],[1,2,284,317,559],[1,2,284,320,323],[2,284,320,323,605], [1,2,284,320,562],[2,284,320,602,605],[1,2,284,558,559],[1,2,284,558,562], [1,2,566,569,605],[2,284,566,569,605],[1,2,566,599,841],[1,2,566,602,605], [2,284,566,602,605],[1,2,566,602,844],[1,2,566,840,841],[1,2,566,840,844], [1,4,5,41,323],[1,4,5,41,605],[1,4,5,287,323],[1,4,5,569,605], [1,4,39,41,323],[1,4,39,41,605],[1,4,39,321,323],[1,4,39,321,603], [1,4,39,603,605],[1,4,286,287,323],[1,4,286,321,323],[1,4,286,321,603], [1,4,568,569,605],[1,4,286,568,603],[1,4,568,603,605],[1,34,35,277,559], [1,34,35,277,841],[1,34,35,317,559],[1,34,35,599,841],[1,34,271,274,556], [1,34,271,274,838],[1,34,271,277,559],[1,34,271,277,841],[1,34,271,553,556], [1,34,271,553,559],[1,34,271,835,838],[1,34,271,835,841],[1,34,316,317,559], [1,34,316,553,556],[1,34,316,553,559],[1,34,598,599,841],[1,34,598,835,838], [1,34,598,835,841],[1,36,38,41,323],[1,36,38,41,605],[1,36,38,280,562], [1,36,38,280,844],[1,36,38,320,323],[1,36,38,320,562],[1,36,38,602,605], [1,36,38,602,844],[1,36,39,41,323],[1,36,39,41,605],[1,36,39,321,323], [1,36,39,321,603],[1,36,39,603,605],[1,36,271,274,556],[1,36,271,274,838], [1,36,271,277,559],[1,36,271,277,841],[1,36,271,553,556],[1,36,271,553,559], [1,36,271,835,838],[1,36,271,835,841],[1,36,273,274,556],[1,36,273,274,838], [1,36,273,555,556],[1,36,273,555,837],[1,36,273,837,838],[1,36,276,277,559], [1,36,276,277,841],[1,36,276,280,562],[1,36,276,280,844],[1,36,276,558,559], [1,36,276,558,562],[1,36,276,840,841],[1,36,276,840,844],[1,36,318,320,323], [1,36,318,320,562],[1,36,318,321,323],[1,36,318,321,603],[1,36,318,553,556], [1,36,318,553,559],[1,36,318,555,556],[1,36,318,555,837],[1,36,318,558,559], [1,36,318,558,562],[1,36,600,602,605],[1,36,600,602,844],[1,36,318,600,603], [1,36,600,603,605],[1,36,600,835,838],[1,36,600,835,841],[1,36,318,600,837], [1,36,600,837,838],[1,36,600,840,841],[1,36,600,840,844],[1,283,284,287,323], [283,284,287,323,605],[283,284,287,569,605],[1,283,284,317,559],[283,284,317,559,841], [283,284,317,599,841],[1,283,284,320,323],[283,284,320,323,605],[1,283,284,320,562], [283,284,320,562,844],[283,284,320,602,605],[283,284,320,602,844],[1,283,284,558,559], [283,284,558,559,841],[1,283,284,558,562],[283,284,558,562,844],[283,284,558,840,841], [283,284,558,840,844],[283,284,566,569,605],[283,284,566,599,841],[283,284,566,602,605], [283,284,566,602,844],[283,284,566,840,841],[283,284,566,840,844],[1,283,286,287,323], [283,286,287,323,605],[283,286,287,569,605],[1,283,286,321,323],[283,286,321,323,605], [1,283,286,321,603],[283,286,321,603,605],[283,286,568,569,605],[1,283,286,568,603], [283,286,568,603,605],[1,283,316,317,559],[283,316,317,559,841],[283,316,317,599,841], [1,283,316,553,556],[283,316,553,556,838],[1,283,316,553,559],[283,316,553,559,841], [283,316,553,835,838],[283,316,553,835,841],[283,316,598,599,841],[283,316,598,835,838], [283,316,598,835,841],[1,283,318,320,323],[283,318,320,323,605],[1,283,318,320,562], [283,318,320,562,844],[283,318,320,602,605],[283,318,320,602,844],[1,283,318,321,323], [283,318,321,323,605],[1,283,318,321,603],[283,318,321,603,605],[1,283,318,553,556], [283,318,553,556,838],[1,283,318,553,559],[283,318,553,559,841],[283,318,553,835,838], [283,318,553,835,841],[1,283,318,555,556],[283,318,555,556,838],[1,283,318,555,837], [283,318,555,837,838],[1,283,318,558,559],[283,318,558,559,841],[1,283,318,558,562], [283,318,558,562,844],[283,318,558,840,841],[283,318,558,840,844],[283,318,600,602,605], [283,318,600,602,844],[1,283,318,600,603],[283,318,600,603,605],[283,318,600,835,838], [283,318,600,835,841],[1,283,318,600,837],[283,318,600,837,838],[283,318,600,840,841], [283,318,600,840,844],[1,565,566,569,605],[283,565,566,569,605],[1,565,566,599,841], [283,565,566,599,841],[1,565,566,602,605],[283,565,566,602,605],[1,565,566,602,844], [283,565,566,602,844],[1,565,566,840,841],[283,565,566,840,841],[1,565,566,840,844], [283,565,566,840,844],[1,565,568,569,605],[283,565,568,569,605],[1,283,565,568,603], [1,565,568,603,605],[283,565,568,603,605],[1,565,598,599,841],[283,565,598,599,841], [1,565,598,835,838],[283,565,598,835,838],[1,565,598,835,841],[283,565,598,835,841], [1,565,600,602,605],[283,565,600,602,605],[1,565,600,602,844],[283,565,600,602,844], [1,283,565,600,603],[1,565,600,603,605],[283,565,600,603,605],[1,565,600,835,838], [283,565,600,835,838],[1,565,600,835,841],[283,565,600,835,841],[1,283,565,600,837], [1,565,600,837,838],[283,565,600,837,838],[1,565,600,840,841],[283,565,600,840,841], [1,565,600,840,844],[283,565,600,840,844],[2,29,276,277,559],[2,29,276,277,841], [2,29,276,280,562],[2,29,276,280,844],[2,29,276,558,559],[2,29,276,558,562], [2,29,276,840,841],[2,29,276,840,844],[2,29,278,280,562],[2,29,278,280,844], [2,29,278,560,562],[2,29,278,560,842],[2,29,278,842,844],[2,29,311,558,559], [2,29,311,558,562],[2,29,311,560,562],[2,29,311,560,842],[2,29,593,840,841], [2,29,593,840,844],[2,29,311,593,842],[2,29,593,842,844],[2,38,278,280,562], [2,38,278,280,844],[2,38,278,560,562],[2,38,278,560,842],[2,38,278,842,844], [2,38,320,560,562],[2,38,320,560,842],[2,38,320,602,842],[2,38,602,842,844], [2,284,311,558,559],[284,311,558,559,841],[2,284,311,558,562],[284,311,558,562,844], [284,311,558,840,841],[284,311,558,840,844],[2,284,311,560,562],[284,311,560,562,844], 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[195,198,200,482,850],[195,198,199,481,850],[195,198,480,481,850],[195,198,480,482,850], [195,477,479,482,850],[477,478,479,482,850],[195,477,478,481,850],[477,478,481,482,850], [195,477,480,481,850],[195,477,480,482,850],[477,480,481,482,850],[198,200,203,485,850], [199,200,203,485,850],[198,200,482,485,850],[199,200,482,485,850],[199,202,203,485,850], [198,199,202,484,850],[199,202,484,485,850],[199,481,482,485,850],[198,199,481,484,850], [199,481,484,485,850],[198,201,203,485,850],[198,201,202,484,850],[198,201,483,484,850], [198,201,483,485,850],[198,480,482,485,850],[480,481,482,485,850],[198,480,481,484,850], [480,481,484,485,850],[198,480,483,484,850],[198,480,483,485,850],[480,483,484,485,850], [201,203,206,488,850],[202,203,206,488,850],[201,203,485,488,850],[202,203,485,488,850], [202,205,206,488,850],[201,202,205,487,850],[202,205,487,488,850],[202,484,485,488,850], [201,202,484,487,850],[202,484,487,488,850],[201,204,206,488,850],[201,204,205,487,850], [201,204,486,487,850],[201,204,486,488,850],[201,483,485,488,850],[483,484,485,488,850], [201,483,484,487,850],[483,484,487,488,850],[201,483,486,487,850],[201,483,486,488,850], [483,486,487,488,850],[204,206,209,491,850],[205,206,209,491,850],[204,206,488,491,850], [205,206,488,491,850],[205,208,209,491,850],[204,205,208,490,850],[205,208,490,491,850], [205,487,488,491,850],[204,205,487,490,850],[205,487,490,491,850],[204,207,209,491,850], [204,207,208,490,850],[204,207,489,490,850],[204,207,489,491,850],[204,486,488,491,850], [486,487,488,491,850],[204,486,487,490,850],[486,487,490,491,850],[204,486,489,490,850], [204,486,489,491,850],[486,489,490,491,850],[207,209,212,494,850],[208,209,212,494,850], [207,209,491,494,850],[208,209,491,494,850],[208,211,212,494,850],[207,208,211,493,850], [208,211,493,494,850],[208,490,491,494,850],[207,208,490,493,850],[208,490,493,494,850], [207,210,212,494,850],[207,210,211,493,850],[207,210,492,493,850],[207,210,492,494,850], [207,489,491,494,850],[489,490,491,494,850],[207,489,490,493,850],[489,490,493,494,850], [207,489,492,493,850],[207,489,492,494,850],[489,492,493,494,850],[210,212,215,497,850], [211,212,215,497,850],[210,212,494,497,850],[211,212,494,497,850],[211,214,215,497,850], [210,211,214,496,850],[211,214,496,497,850],[211,493,494,497,850],[210,211,493,496,850], [211,493,496,497,850],[210,213,215,497,850],[210,213,214,496,850],[210,213,495,496,850], [210,213,495,497,850],[210,492,494,497,850],[492,493,494,497,850],[210,492,493,496,850], [492,493,496,497,850],[210,492,495,496,850],[210,492,495,497,850],[492,495,496,497,850], [213,215,218,500,850],[214,215,218,500,850],[213,215,497,500,850],[214,215,497,500,850], [214,217,218,500,850],[213,214,217,499,850],[214,217,499,500,850],[214,496,497,500,850], [213,214,496,499,850],[214,496,499,500,850],[213,216,218,500,850],[213,216,217,499,850], [213,216,498,499,850],[213,216,498,500,850],[213,495,497,500,850],[495,496,497,500,850], [213,495,496,499,850],[495,496,499,500,850],[213,495,498,499,850],[213,495,498,500,850], [495,498,499,500,850],[216,218,221,503,850],[217,218,221,503,850],[216,218,500,503,850], [217,218,500,503,850],[217,220,221,503,850],[216,217,220,502,850],[217,220,502,503,850], [217,499,500,503,850],[216,217,499,502,850],[217,499,502,503,850],[216,219,221,503,850], [216,219,220,502,850],[216,219,501,502,850],[216,219,501,503,850],[216,498,500,503,850], [498,499,500,503,850],[216,498,499,502,850],[498,499,502,503,850],[216,498,501,502,850], [216,498,501,503,850],[498,501,502,503,850],[219,221,224,506,850],[220,221,224,506,850], [219,221,503,506,850],[220,221,503,506,850],[220,223,224,506,850],[219,220,223,505,850], [220,223,505,506,850],[220,502,503,506,850],[219,220,502,505,850],[220,502,505,506,850], [219,222,224,506,850],[219,222,223,505,850],[219,222,504,505,850],[219,222,504,506,850], [219,501,503,506,850],[501,502,503,506,850],[219,501,502,505,850],[501,502,505,506,850], [219,501,504,505,850],[219,501,504,506,850],[501,504,505,506,850],[222,224,227,509,850], [223,224,227,509,850],[222,224,506,509,850],[223,224,506,509,850],[223,226,227,509,850], [222,223,226,508,850],[223,226,508,509,850],[223,505,506,509,850],[222,223,505,508,850], [223,505,508,509,850],[222,225,227,509,850],[222,225,226,508,850],[222,225,507,508,850], [222,225,507,509,850],[222,504,506,509,850],[504,505,506,509,850],[222,504,505,508,850], [504,505,508,509,850],[222,504,507,508,850],[222,504,507,509,850],[504,507,508,509,850], [225,227,230,512,850],[226,227,230,512,850],[225,227,509,512,850],[226,227,509,512,850], [226,229,230,512,850],[225,226,229,511,850],[226,229,511,512,850],[226,508,509,512,850], [225,226,508,511,850],[226,508,511,512,850],[225,228,230,512,850],[225,228,229,511,850], [225,228,510,511,850],[225,228,510,512,850],[225,507,509,512,850],[507,508,509,512,850], [225,507,508,511,850],[507,508,511,512,850],[225,507,510,511,850],[225,507,510,512,850], [507,510,511,512,850],[228,230,233,515,850],[229,230,233,515,850],[228,230,512,515,850], [229,230,512,515,850],[229,232,233,515,850],[228,229,232,514,850],[229,232,514,515,850], [229,511,512,515,850],[228,229,511,514,850],[229,511,514,515,850],[228,231,233,515,850], [228,231,232,514,850],[228,231,513,514,850],[228,231,513,515,850],[228,510,512,515,850], [510,511,512,515,850],[228,510,511,514,850],[510,511,514,515,850],[228,510,513,514,850], [228,510,513,515,850],[510,513,514,515,850],[231,233,236,518,850],[232,233,236,518,850], [231,233,515,518,850],[232,233,515,518,850],[232,235,236,518,850],[231,232,235,517,850], [232,235,517,518,850],[232,514,515,518,850],[231,232,514,517,850],[232,514,517,518,850], [231,234,236,518,850],[231,234,235,517,850],[231,234,516,517,850],[231,234,516,518,850], [231,513,515,518,850],[513,514,515,518,850],[231,513,514,517,850],[513,514,517,518,850], [231,513,516,517,850],[231,513,516,518,850],[513,516,517,518,850],[234,236,239,521,850], [235,236,239,521,850],[234,236,518,521,850],[235,236,518,521,850],[235,238,239,521,850], [234,235,238,520,850],[235,238,520,521,850],[235,517,518,521,850],[234,235,517,520,850], [235,517,520,521,850],[234,237,239,521,850],[234,237,238,520,850],[234,237,519,520,850], [234,237,519,521,850],[234,516,518,521,850],[516,517,518,521,850],[234,516,517,520,850], [516,517,520,521,850],[234,516,519,520,850],[234,516,519,521,850],[516,519,520,521,850], [237,239,242,524,850],[238,239,242,524,850],[237,239,521,524,850],[238,239,521,524,850], [238,241,242,524,850],[237,238,241,523,850],[238,241,523,524,850],[238,520,521,524,850], [237,238,520,523,850],[238,520,523,524,850],[237,240,242,524,850],[237,240,241,523,850], [237,240,522,523,850],[237,240,522,524,850],[237,519,521,524,850],[519,520,521,524,850], [237,519,520,523,850],[519,520,523,524,850],[237,519,522,523,850],[237,519,522,524,850], [519,522,523,524,850],[240,242,245,527,850],[241,242,245,527,850],[240,242,524,527,850], [241,242,524,527,850],[241,244,245,527,850],[240,241,244,526,850],[241,244,526,527,850], [241,523,524,527,850],[240,241,523,526,850],[241,523,526,527,850],[240,243,245,527,850], [240,243,244,526,850],[240,243,525,526,850],[240,243,525,527,850],[240,522,524,527,850], [522,523,524,527,850],[240,522,523,526,850],[522,523,526,527,850],[240,522,525,526,850], [240,522,525,527,850],[522,525,526,527,850],[243,245,248,530,850],[244,245,248,530,850], [243,245,527,530,850],[244,245,527,530,850],[244,247,248,530,850],[243,244,247,529,850], [244,247,529,530,850],[244,526,527,530,850],[243,244,526,529,850],[244,526,529,530,850], [243,246,248,530,850],[243,246,247,529,850],[243,246,528,529,850],[243,246,528,530,850], [243,525,527,530,850],[525,526,527,530,850],[243,525,526,529,850],[525,526,529,530,850], [243,525,528,529,850],[243,525,528,530,850],[525,528,529,530,850],[246,248,251,533,850], [247,248,251,533,850],[246,248,530,533,850],[247,248,530,533,850],[247,250,251,533,850], [246,247,250,532,850],[247,250,532,533,850],[247,529,530,533,850],[246,247,529,532,850], [247,529,532,533,850],[246,249,251,533,850],[246,249,250,532,850],[246,249,531,532,850], [246,249,531,533,850],[246,528,530,533,850],[528,529,530,533,850],[246,528,529,532,850], [528,529,532,533,850],[246,528,531,532,850],[246,528,531,533,850],[528,531,532,533,850], [249,251,254,536,850],[250,251,254,536,850],[249,251,533,536,850],[250,251,533,536,850], [250,253,254,536,850],[249,250,253,535,850],[250,253,535,536,850],[250,532,533,536,850], [249,250,532,535,850],[250,532,535,536,850],[249,252,254,536,850],[249,252,253,535,850], [249,252,534,535,850],[249,252,534,536,850],[249,531,533,536,850],[531,532,533,536,850], [249,531,532,535,850],[531,532,535,536,850],[249,531,534,535,850],[249,531,534,536,850], [531,534,535,536,850],[252,254,257,539,850],[253,254,257,539,850],[252,254,536,539,850], [253,254,536,539,850],[253,256,257,539,850],[252,253,256,538,850],[253,256,538,539,850], 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[261,264,851,852,853],[264,267,850,851,853],[264,267,850,852,853],[264,267,851,852,853] ];