#################################################################################### #################################################################################### #################################################################################### ### ### ### ### ### TRIANGULATIONS OF AKBULUT-KIRBY SPHERES ### ### by Frank H. Lutz and Mimi Tsuruga ### ### http://matsguru.com/research/AKspheres.html ### ### ### ### name of example: ### ### ### ### AK_I_005 ### ### ### ### ### ### description: ### ### ### ### Type 1 construction of triangulation of Akbulut-Kirby sphere ### ### ### ### ### ### properties: ### ### ### ### f=(420,6486,21764,26160,10464) ### ### 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:=[ [0,1,2,5,107],[0,1,2,5,204],[1,2,5,204,414],[1,2,5,215,414], [0,1,2,35,137],[0,1,2,35,204],[1,2,35,204,414],[1,2,35,245,414], [0,1,2,104,107],[0,1,2,104,137],[1,2,212,215,414],[1,2,212,245,414], [0,1,4,5,107],[0,1,4,5,204],[0,1,4,204,414],[1,4,5,204,414], [1,4,5,215,414],[0,1,4,106,107],[0,1,4,106,316],[0,1,4,214,414], [1,4,214,215,414],[0,1,4,214,316],[0,1,34,35,137],[0,1,34,35,204], [0,1,34,204,414],[1,34,35,204,414],[1,34,35,245,414],[0,1,34,94,196], [0,1,34,94,304],[0,1,34,136,137],[0,1,34,136,196],[0,1,34,244,414], [1,34,244,245,414],[0,1,34,244,304],[0,1,93,94,196],[0,1,93,94,304], [0,1,93,195,196],[0,1,93,195,405],[0,1,93,303,304],[0,1,93,303,405], [0,1,103,104,107],[0,1,103,104,137],[0,1,103,106,107],[0,1,103,106,316], [0,1,103,136,137],[0,1,103,136,196],[0,1,103,195,196],[0,1,103,195,405], [0,1,103,313,316],[0,1,103,313,405],[1,211,212,215,414],[1,211,212,245,414], [0,1,211,214,414],[1,211,214,215,414],[0,1,211,214,316],[0,1,211,244,414], [1,211,244,245,414],[0,1,211,244,304],[0,1,211,303,304],[0,1,211,303,405], [0,1,211,313,316],[0,1,211,313,405],[0,2,5,26,128],[2,5,26,128,338], [0,2,5,26,236],[2,5,26,236,338],[0,2,5,107,128],[2,5,107,128,338], [2,5,107,317,338],[0,2,5,204,205],[0,2,5,205,415],[2,5,204,205,415], [2,5,204,414,415],[0,2,5,215,236],[2,5,215,236,338],[2,5,215,317,338], [0,2,5,215,415],[2,5,215,414,415],[0,2,26,29,131],[2,26,29,131,341], [0,2,26,29,239],[2,26,29,239,341],[0,2,26,128,131],[2,26,128,131,341], [2,26,128,338,341],[0,2,26,236,239],[2,26,236,239,341],[2,26,236,338,341], [0,2,29,97,199],[0,2,29,97,307],[0,2,29,131,199],[0,2,29,239,307], [0,2,35,97,199],[0,2,35,97,307],[0,2,35,137,199],[0,2,35,204,205], [0,2,35,205,415],[2,35,204,205,415],[2,35,204,414,415],[0,2,35,245,307], [0,2,35,245,415],[2,35,245,414,415],[0,2,104,107,128],[2,104,107,128,338], [2,104,107,317,338],[0,2,104,128,131],[2,104,128,131,341],[2,104,128,338,341], [0,2,104,131,199],[0,2,104,137,199],[2,104,314,317,338],[2,104,314,338,341], [0,2,212,215,236],[2,212,215,236,338],[2,212,215,317,338],[0,2,212,215,415], [2,212,215,414,415],[0,2,212,236,239],[2,212,236,239,341],[2,212,236,338,341], [0,2,212,239,307],[0,2,212,245,307],[0,2,212,245,415],[2,212,245,414,415], [2,212,314,317,338],[2,212,314,338,341],[0,3,4,5,107],[0,3,4,5,204], [0,3,4,204,414],[0,3,4,106,107],[0,3,4,106,316],[0,3,4,214,414], [0,3,4,214,316],[0,3,5,26,128],[0,3,5,26,236],[0,3,5,107,128], [0,3,5,204,205],[0,3,5,205,415],[0,3,5,215,236],[0,3,5,215,415], [0,3,24,26,128],[0,3,24,26,236],[0,3,24,126,128],[0,3,24,126,336], [0,3,24,234,236],[0,3,24,234,336],[0,3,105,106,107],[0,3,105,106,316], [0,3,105,107,128],[0,3,105,126,128],[0,3,105,126,336],[0,3,105,315,316], [0,3,105,315,336],[0,3,204,205,206],[0,3,204,206,416],[0,3,205,206,416], [0,3,205,415,416],[0,3,204,414,416],[0,3,213,214,414],[0,3,213,214,316], [0,3,213,215,236],[0,3,213,215,415],[0,3,213,234,236],[0,3,213,234,336], [0,3,213,315,316],[0,3,213,315,336],[0,3,213,414,416],[0,3,213,415,416], [0,24,26,29,131],[0,24,26,29,239],[0,24,26,128,131],[0,24,26,236,239], [0,24,27,29,131],[0,24,27,29,239],[0,24,27,129,131],[0,24,27,129,339], [0,24,27,237,239],[0,24,27,237,339],[0,24,126,128,131],[0,24,126,129,131], [0,24,126,129,339],[0,24,126,336,339],[0,24,234,236,239],[0,24,234,237,239], [0,24,234,237,339],[0,24,234,336,339],[0,27,29,97,199],[0,27,29,97,307], [0,27,29,131,199],[0,27,29,239,307],[0,27,90,94,196],[0,27,90,94,304], [0,27,90,97,199],[0,27,90,97,307],[0,27,90,192,196],[0,27,90,192,199], [0,27,90,300,304],[0,27,90,300,307],[0,27,93,94,196],[0,27,93,94,304], [0,27,93,195,196],[0,27,93,195,405],[0,27,93,303,304],[0,27,93,303,405], [0,27,129,131,199],[0,27,129,192,196],[0,27,129,192,199],[0,27,129,195,196], [0,27,129,195,405],[0,27,129,339,405],[0,27,237,239,307],[0,27,237,300,304], [0,27,237,300,307],[0,27,237,303,304],[0,27,237,303,405],[0,27,237,339,405], [0,33,34,35,137],[0,33,34,35,204],[0,33,34,204,414],[0,33,34,94,196], [0,33,34,94,304],[0,33,34,136,137],[0,33,34,136,196],[0,33,34,244,414], [0,33,34,244,304],[0,33,35,97,199],[0,33,35,97,307],[0,33,35,137,199], [0,33,35,204,205],[0,33,35,205,415],[0,33,35,245,307],[0,33,35,245,415], [0,33,90,94,196],[0,33,90,94,304],[0,33,90,97,199],[0,33,90,97,307], [0,33,90,192,196],[0,33,90,192,199],[0,33,90,300,304],[0,33,90,300,307], [0,33,135,136,137],[0,33,135,136,196],[0,33,135,137,199],[0,33,135,192,196], [0,33,135,192,199],[0,33,204,205,206],[0,33,204,206,416],[0,33,205,206,416], [0,33,205,415,416],[0,33,204,414,416],[0,33,243,244,414],[0,33,243,244,304], [0,33,243,245,307],[0,33,243,245,415],[0,33,243,300,304],[0,33,243,300,307], [0,33,243,414,416],[0,33,243,415,416],[0,102,103,104,107],[102,103,104,107,317], [0,102,103,104,137],[102,103,104,137,347],[102,103,104,314,317],[102,103,104,314,347], [0,102,103,106,107],[102,103,106,107,317],[0,102,103,106,316],[102,103,106,316,317], [0,102,103,136,137],[102,103,136,137,347],[0,102,103,136,196],[102,103,136,196,406], [102,103,136,346,347],[102,103,136,346,406],[0,102,103,195,196],[102,103,195,196,406], [0,102,103,195,405],[102,103,195,405,406],[102,103,313,314,317],[102,103,313,314,347], [0,102,103,313,316],[102,103,313,316,317],[102,103,313,346,347],[102,103,313,346,406], [0,102,103,313,405],[102,103,313,405,406],[0,102,104,107,128],[102,104,107,128,338], [102,104,107,317,338],[0,102,104,128,131],[102,104,128,131,341],[102,104,128,338,341], [0,102,104,131,199],[102,104,131,199,409],[102,104,131,341,409],[0,102,104,137,199], [102,104,137,199,409],[102,104,137,347,409],[102,104,314,317,338],[102,104,314,338,341], [102,104,314,341,409],[102,104,314,347,409],[0,102,105,106,107],[102,105,106,107,317], [0,102,105,106,316],[102,105,106,316,317],[0,102,105,107,128],[102,105,107,128,338], [102,105,107,317,338],[0,102,105,126,128],[102,105,126,128,338],[0,102,105,126,336], [102,105,126,336,338],[0,102,105,315,316],[102,105,315,316,317],[102,105,315,317,338], [0,102,105,315,336],[102,105,315,336,338],[0,102,126,128,131],[102,126,128,131,341], [102,126,128,338,341],[0,102,126,129,131],[102,126,129,131,341],[0,102,126,129,339], [102,126,129,339,341],[102,126,336,338,341],[0,102,126,336,339],[102,126,336,339,341], [0,102,129,131,199],[102,129,131,199,409],[102,129,131,341,409],[0,102,129,192,196], [102,129,192,196,406],[0,102,129,192,199],[102,129,192,199,409],[102,129,192,402,406], [102,129,192,402,409],[0,102,129,195,196],[102,129,195,196,406],[0,102,129,195,405], [102,129,195,405,406],[102,129,339,341,409],[102,129,339,402,406],[102,129,339,402,409], [0,102,129,339,405],[102,129,339,405,406],[0,102,135,136,137],[102,135,136,137,347], [0,102,135,136,196],[102,135,136,196,406],[102,135,136,346,347],[102,135,136,346,406], [0,102,135,137,199],[102,135,137,199,409],[102,135,137,347,409],[0,102,135,192,196], [102,135,192,196,406],[0,102,135,192,199],[102,135,192,199,409],[102,135,192,402,406], [102,135,192,402,409],[102,135,345,346,347],[102,135,345,346,406],[102,135,345,347,409], [102,135,345,402,406],[102,135,345,402,409],[102,312,313,314,317],[102,312,313,314,347], [0,102,312,313,316],[102,312,313,316,317],[102,312,313,346,347],[102,312,313,346,406], [0,102,312,313,405],[102,312,313,405,406],[102,312,314,317,338],[102,312,314,338,341], [102,312,314,341,409],[102,312,314,347,409],[0,102,312,315,316],[102,312,315,316,317], [102,312,315,317,338],[0,102,312,315,336],[102,312,315,336,338],[102,312,336,338,341], [0,102,312,336,339],[102,312,336,339,341],[102,312,339,341,409],[102,312,339,402,406], [102,312,339,402,409],[0,102,312,339,405],[102,312,339,405,406],[102,312,345,346,347], [102,312,345,346,406],[102,312,345,347,409],[102,312,345,402,406],[102,312,345,402,409], [210,211,212,215,317],[210,211,212,215,414],[210,211,212,245,347],[210,211,212,245,414], [210,211,212,314,317],[210,211,212,314,347],[210,211,214,215,317],[0,210,211,214,414], [210,211,214,215,414],[0,210,211,214,316],[210,211,214,316,317],[210,211,244,245,347], [0,210,211,244,414],[210,211,244,245,414],[0,210,211,244,304],[210,211,244,304,406], [210,211,244,346,347],[210,211,244,346,406],[0,210,211,303,304],[210,211,303,304,406], [0,210,211,303,405],[210,211,303,405,406],[210,211,313,314,317],[210,211,313,314,347], [0,210,211,313,316],[210,211,313,316,317],[210,211,313,346,347],[210,211,313,346,406], [0,210,211,313,405],[210,211,313,405,406],[0,210,212,215,236],[210,212,215,236,338], [210,212,215,317,338],[0,210,212,215,415],[210,212,215,414,415],[0,210,212,236,239], [210,212,236,239,341],[210,212,236,338,341],[0,210,212,239,307],[210,212,239,307,409], [210,212,239,341,409],[0,210,212,245,307],[210,212,245,307,409],[210,212,245,347,409], [0,210,212,245,415],[210,212,245,414,415],[210,212,314,317,338],[210,212,314,338,341], [210,212,314,341,409],[210,212,314,347,409],[210,213,214,215,317],[0,210,213,214,414], [210,213,214,215,414],[0,210,213,214,316],[210,213,214,316,317],[0,210,213,215,236], [210,213,215,236,338],[210,213,215,317,338],[0,210,213,215,415],[210,213,215,414,415], [0,210,213,234,236],[210,213,234,236,338],[0,210,213,234,336],[210,213,234,336,338], [0,210,213,315,316],[210,213,315,316,317],[210,213,315,317,338],[0,210,213,315,336], [210,213,315,336,338],[0,210,213,414,416],[0,210,213,415,416],[210,213,414,415,416], [0,210,234,236,239],[210,234,236,239,341],[210,234,236,338,341],[0,210,234,237,239], [210,234,237,239,341],[0,210,234,237,339],[210,234,237,339,341],[210,234,336,338,341], [0,210,234,336,339],[210,234,336,339,341],[0,210,237,239,307],[210,237,239,307,409], [210,237,239,341,409],[0,210,237,300,304],[210,237,300,304,406],[0,210,237,300,307], [210,237,300,307,409],[210,237,300,402,406],[210,237,300,402,409],[0,210,237,303,304], [210,237,303,304,406],[0,210,237,303,405],[210,237,303,405,406],[210,237,339,341,409], [210,237,339,402,406],[210,237,339,402,409],[0,210,237,339,405],[210,237,339,405,406], [210,243,244,245,347],[0,210,243,244,414],[210,243,244,245,414],[0,210,243,244,304], [210,243,244,304,406],[210,243,244,346,347],[210,243,244,346,406],[0,210,243,245,307], [210,243,245,307,409],[210,243,245,347,409],[0,210,243,245,415],[210,243,245,414,415], [0,210,243,300,304],[210,243,300,304,406],[0,210,243,300,307],[210,243,300,307,409], [210,243,300,402,406],[210,243,300,402,409],[210,243,345,346,347],[210,243,345,346,406], [210,243,345,347,409],[210,243,345,402,406],[210,243,345,402,409],[0,210,243,414,416], [0,210,243,415,416],[210,243,414,415,416],[210,312,313,314,317],[210,312,313,314,347], [0,210,312,313,316],[210,312,313,316,317],[210,312,313,346,347],[210,312,313,346,406], [0,210,312,313,405],[210,312,313,405,406],[210,312,314,317,338],[210,312,314,338,341], [210,312,314,341,409],[210,312,314,347,409],[0,210,312,315,316],[210,312,315,316,317], [210,312,315,317,338],[0,210,312,315,336],[210,312,315,336,338],[210,312,336,338,341], [0,210,312,336,339],[210,312,336,339,341],[210,312,339,341,409],[210,312,339,402,406], [210,312,339,402,409],[0,210,312,339,405],[210,312,339,405,406],[210,312,345,346,347], [210,312,345,346,406],[210,312,345,347,409],[210,312,345,402,406],[210,312,345,402,409], [1,2,5,41,143],[2,5,41,143,353],[1,2,5,41,251],[2,5,41,251,353], [1,2,5,107,143],[2,5,107,143,353],[2,5,107,317,353],[1,2,5,215,251], [2,5,215,251,353],[2,5,215,317,353],[1,2,35,97,199],[1,2,35,97,307], [1,2,35,137,199],[1,2,35,245,307],[1,2,38,41,143],[2,38,41,143,353], [1,2,38,41,251],[2,38,41,251,353],[1,2,38,100,202],[1,2,38,100,310], [1,2,38,140,143],[2,38,140,143,353],[1,2,38,140,202],[2,38,140,350,353], [1,2,38,248,251],[2,38,248,251,353],[1,2,38,248,310],[2,38,248,350,353], [1,2,96,97,199],[1,2,96,97,307],[1,2,96,100,202],[1,2,96,100,310], [1,2,96,198,199],[1,2,96,198,202],[1,2,96,306,307],[1,2,96,306,310], [1,2,104,107,143],[2,104,107,143,353],[2,104,107,317,353],[1,2,104,137,199], [1,2,104,140,143],[2,104,140,143,353],[1,2,104,140,202],[2,104,140,350,353], [1,2,104,198,199],[1,2,104,198,202],[2,104,314,317,353],[2,104,314,350,353], [1,2,212,215,251],[2,212,215,251,353],[2,212,215,317,353],[1,2,212,245,307], [1,2,212,248,251],[2,212,248,251,353],[1,2,212,248,310],[2,212,248,350,353], [1,2,212,306,307],[1,2,212,306,310],[2,212,314,317,353],[2,212,314,350,353], [1,4,5,41,143],[1,4,5,41,251],[1,4,5,107,143],[1,4,5,215,251], [1,4,39,41,143],[1,4,39,41,251],[1,4,39,141,143],[1,4,39,141,351], [1,4,39,249,251],[1,4,39,249,351],[1,4,106,107,143],[1,4,106,141,143], [1,4,106,141,351],[1,4,106,316,351],[1,4,214,215,251],[1,4,214,249,251], [1,4,214,249,351],[1,4,214,316,351],[1,34,35,97,199],[1,34,35,97,307], [1,34,35,137,199],[1,34,35,245,307],[1,34,91,94,196],[1,34,91,94,304], [1,34,91,97,199],[1,34,91,97,307],[1,34,91,193,196],[1,34,91,193,199], [1,34,91,301,304],[1,34,91,301,307],[1,34,136,137,199],[1,34,136,193,196], [1,34,136,193,199],[1,34,244,245,307],[1,34,244,301,304],[1,34,244,301,307], [1,36,38,41,143],[1,36,38,41,251],[1,36,38,100,202],[1,36,38,100,310], [1,36,38,140,143],[1,36,38,140,202],[1,36,38,248,251],[1,36,38,248,310], [1,36,39,41,143],[1,36,39,41,251],[1,36,39,141,143],[1,36,39,141,351], [1,36,39,249,251],[1,36,39,249,351],[1,36,91,94,196],[1,36,91,94,304], [1,36,91,97,199],[1,36,91,97,307],[1,36,91,193,196],[1,36,91,193,199], [1,36,91,301,304],[1,36,91,301,307],[1,36,93,94,196],[1,36,93,94,304], [1,36,93,195,196],[1,36,93,195,405],[1,36,93,303,304],[1,36,93,303,405], [1,36,96,97,199],[1,36,96,97,307],[1,36,96,100,202],[1,36,96,100,310], [1,36,96,198,199],[1,36,96,198,202],[1,36,96,306,307],[1,36,96,306,310], [1,36,138,140,143],[1,36,138,140,202],[1,36,138,141,143],[1,36,138,141,351], [1,36,138,193,196],[1,36,138,193,199],[1,36,138,195,196],[1,36,138,195,405], [1,36,138,198,199],[1,36,138,198,202],[1,36,138,348,351],[1,36,138,348,405], [1,36,246,248,251],[1,36,246,248,310],[1,36,246,249,251],[1,36,246,249,351], [1,36,246,301,304],[1,36,246,301,307],[1,36,246,303,304],[1,36,246,303,405], [1,36,246,306,307],[1,36,246,306,310],[1,36,246,348,351],[1,36,246,348,405], [1,103,104,107,143],[103,104,107,143,353],[103,104,107,317,353],[1,103,104,137,199], [103,104,137,199,409],[103,104,137,347,409],[1,103,104,140,143],[103,104,140,143,353], [1,103,104,140,202],[103,104,140,202,412],[103,104,140,350,353],[103,104,140,350,412], [1,103,104,198,199],[103,104,198,199,409],[1,103,104,198,202],[103,104,198,202,412], [103,104,198,408,409],[103,104,198,408,412],[103,104,314,317,353],[103,104,314,347,409], [103,104,314,350,353],[103,104,314,350,412],[103,104,314,408,409],[103,104,314,408,412], [1,103,106,107,143],[103,106,107,143,353],[103,106,107,317,353],[1,103,106,141,143], [103,106,141,143,353],[1,103,106,141,351],[103,106,141,351,353],[103,106,316,317,353], [1,103,106,316,351],[103,106,316,351,353],[1,103,136,137,199],[103,136,137,199,409], [103,136,137,347,409],[1,103,136,193,196],[103,136,193,196,406],[1,103,136,193,199], [103,136,193,199,409],[103,136,193,403,406],[103,136,193,403,409],[103,136,346,347,409], [103,136,346,403,406],[103,136,346,403,409],[1,103,138,140,143],[103,138,140,143,353], 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[21,22,25,127,196],[21,22,25,235,414],[22,25,235,236,414],[21,22,25,235,304], [21,22,92,94,196],[21,22,92,94,304],[21,22,92,194,196],[21,22,92,194,404], [21,22,92,302,304],[21,22,92,302,404],[21,22,124,125,128],[22,124,125,128,338], [22,124,125,335,338],[21,22,124,127,128],[21,22,124,127,196],[21,22,124,194,196], [21,22,124,194,404],[22,124,334,335,338],[21,22,124,334,404],[22,232,233,236,338], [22,232,233,236,414],[22,232,233,335,338],[21,22,232,235,414],[22,232,235,236,414], [21,22,232,235,304],[21,22,232,302,304],[21,22,232,302,404],[22,232,334,335,338], [21,22,232,334,404],[21,23,26,204,205],[21,23,26,205,415],[23,26,204,205,415], [23,26,204,414,415],[21,23,26,236,415],[23,26,236,414,415],[21,23,233,236,415], [23,233,236,414,415],[21,24,25,26,128],[21,24,25,26,204],[21,24,25,204,414], [21,24,25,94,196],[21,24,25,94,304],[21,24,25,127,128],[21,24,25,127,196], [21,24,25,235,414],[21,24,25,235,304],[21,24,26,204,205],[21,24,26,205,415], [21,24,26,236,415],[21,24,126,127,128],[21,24,126,127,196],[21,24,204,205,206], [21,24,204,206,416],[21,24,205,206,416],[21,24,205,415,416],[21,24,204,414,416], [21,24,234,235,414],[21,24,234,235,304],[21,24,234,236,415],[21,24,234,414,416], [21,24,234,415,416],[21,123,124,125,128],[123,124,125,128,338],[123,124,125,335,338], [21,123,124,127,128],[123,124,127,128,338],[21,123,124,127,196],[123,124,127,196,406], [123,124,127,337,338],[123,124,127,337,406],[21,123,124,194,196],[123,124,194,196,406], [21,123,124,194,404],[123,124,194,404,406],[123,124,334,335,338],[123,124,334,337,338], [123,124,334,337,406],[21,123,124,334,404],[123,124,334,404,406],[21,123,126,127,128], [123,126,127,128,338],[21,123,126,127,196],[123,126,127,196,406],[123,126,127,337,338], [123,126,127,337,406],[123,126,336,337,338],[123,126,336,337,406],[123,333,334,335,338], [123,333,334,337,338],[123,333,334,337,406],[21,123,333,334,404],[123,333,334,404,406], 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[22,25,26,94,196],[22,25,26,94,304],[22,25,26,128,196],[22,25,26,236,304], [22,25,127,128,196],[22,25,235,236,304],[22,26,92,94,196],[22,26,92,94,304], [22,26,92,194,196],[22,26,92,194,404],[22,26,92,302,304],[22,26,92,302,404], [22,26,128,194,196],[22,26,128,194,404],[22,26,128,338,404],[22,26,236,302,304], [22,26,236,302,404],[22,26,236,338,404],[22,124,127,128,196],[124,127,128,196,406], [124,127,128,338,406],[124,127,337,338,406],[22,124,128,194,196],[124,128,194,196,406], [22,124,128,194,404],[124,128,194,404,406],[22,124,128,338,404],[124,128,338,404,406], [124,334,337,338,406],[22,124,334,338,404],[124,334,338,404,406],[22,232,235,236,304], [232,235,236,304,406],[232,235,236,338,406],[232,235,337,338,406],[22,232,236,302,304], [232,236,302,304,406],[22,232,236,302,404],[232,236,302,404,406],[22,232,236,338,404], [232,236,338,404,406],[232,334,337,338,406],[22,232,334,338,404],[232,334,338,404,406], [24,25,26,29,131],[24,25,26,29,204],[25,26,29,204,414],[25,26,29,239,414], [24,25,26,128,131],[25,26,236,239,414],[24,25,28,29,131],[24,25,28,29,204], [24,25,28,204,414],[25,28,29,204,414],[25,28,29,239,414],[24,25,28,130,131], [24,25,28,130,340],[24,25,28,238,414],[25,28,238,239,414],[24,25,28,238,340], [24,25,93,94,196],[24,25,93,94,304],[24,25,93,195,196],[24,25,93,195,405], [24,25,93,303,304],[24,25,93,303,405],[24,25,127,128,131],[24,25,127,130,131], [24,25,127,130,340],[24,25,127,195,196],[24,25,127,195,405],[24,25,127,337,340], [24,25,127,337,405],[25,235,236,239,414],[24,25,235,238,414],[25,235,238,239,414], [24,25,235,238,340],[24,25,235,303,304],[24,25,235,303,405],[24,25,235,337,340], [24,25,235,337,405],[24,26,29,204,205],[24,26,29,205,415],[26,29,204,205,415], [26,29,204,414,415],[24,26,29,239,415],[26,29,239,414,415],[24,26,236,239,415], [26,236,239,414,415],[24,27,28,29,131],[24,27,28,29,204],[24,27,28,204,414], [24,27,28,130,131],[24,27,28,130,340],[24,27,28,238,414],[24,27,28,238,340], [24,27,29,204,205],[24,27,29,205,415],[24,27,29,239,415],[24,27,129,130,131], [24,27,129,130,340],[24,27,129,339,340],[24,27,204,205,206],[24,27,204,206,416], [24,27,205,206,416],[24,27,205,415,416],[24,27,204,414,416],[24,27,237,238,414], [24,27,237,238,340],[24,27,237,239,415],[24,27,237,339,340],[24,27,237,414,416], [24,27,237,415,416],[24,126,127,128,131],[126,127,128,131,341],[126,127,128,338,341], [24,126,127,130,131],[126,127,130,131,341],[24,126,127,130,340],[126,127,130,340,341], [24,126,127,195,196],[126,127,195,196,406],[24,126,127,195,405],[126,127,195,405,406], [126,127,337,338,341],[24,126,127,337,340],[126,127,337,340,341],[24,126,127,337,405], [126,127,337,405,406],[24,126,129,130,131],[126,129,130,131,341],[24,126,129,130,340], [126,129,130,340,341],[24,126,129,339,340],[126,129,339,340,341],[126,336,337,338,341], [24,126,336,337,340],[126,336,337,340,341],[24,126,336,337,405],[126,336,337,405,406], 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[237,240,300,402,409],[237,240,342,343,344],[237,240,342,343,406],[237,240,342,344,409], [237,240,342,402,406],[237,240,342,402,409],[27,237,240,414,416],[27,237,240,415,416], [237,240,414,415,416],[237,339,340,341,344],[237,339,340,343,344],[237,339,340,343,406], [27,237,339,340,405],[237,339,340,405,406],[237,339,341,344,409],[237,339,342,343,344], [237,339,342,343,406],[237,339,342,344,409],[237,339,342,402,406],[237,339,342,402,409], [29,32,96,97,199],[29,32,96,97,307],[29,32,96,100,202],[29,32,96,100,310], [29,32,96,198,199],[29,32,96,198,202],[29,32,96,306,307],[29,32,96,306,310], [29,32,98,100,202],[29,32,98,100,310],[29,32,98,200,202],[29,32,98,200,410], [29,32,98,308,310],[29,32,98,308,410],[29,32,134,198,199],[29,32,134,198,202], [29,32,134,200,202],[29,32,134,200,410],[29,32,134,344,410],[29,32,242,306,307], [29,32,242,306,310],[29,32,242,308,310],[29,32,242,308,410],[29,32,242,344,410], [29,131,134,198,199],[131,134,198,199,409],[29,131,134,198,202],[131,134,198,202,412], 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