#################################################################################### #################################################################################### #################################################################################### ### ### ### ### ### TRIANGULATIONS OF AKBULUT-KIRBY SPHERES ### ### by Frank H. Lutz and Mimi Tsuruga ### ### http://matsguru.com/research/AKspheres.html ### ### ### ### name of example: ### ### ### ### AK_II_016 ### ### ### ### ### ### description: ### ### ### ### Type 2 construction of triangulation of Akbulut-Kirby sphere ### ### ### ### ### ### properties: ### ### ### ### f=(944,14214,47436,56940,22776) ### ### 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:=[ [0,1,2,5,473],[0,1,2,35,503],[0,1,2,470,473],[0,1,2,470,503], [0,1,4,5,473],[0,1,4,238,706],[0,1,4,472,473],[0,1,4,472,706], [0,1,34,35,503],[0,1,34,226,460],[0,1,34,226,694],[0,1,34,268,460], [0,1,34,502,503],[0,1,34,502,694],[0,1,225,226,460],[0,1,225,226,694], [0,1,225,459,460],[0,1,225,459,927],[0,1,225,693,694],[0,1,225,693,927], [0,1,235,238,706],[0,1,235,268,460],[0,1,235,459,460],[0,1,235,459,927], [0,1,235,703,706],[0,1,235,703,927],[0,1,469,470,473],[0,1,469,470,503], [0,1,469,472,473],[0,1,469,472,706],[0,1,469,502,503],[0,1,469,502,694], [0,1,469,693,694],[0,1,469,693,927],[0,1,469,703,706],[0,1,469,703,927], [0,2,5,26,260],[2,5,26,260,728],[0,2,5,26,494],[2,5,26,494,728], [0,2,5,239,260],[2,5,239,260,728],[2,5,239,707,728],[0,2,5,473,494], [2,5,473,494,728],[2,5,473,707,728],[0,2,26,29,263],[2,26,29,263,731], [0,2,26,29,497],[2,26,29,497,731],[0,2,26,260,263],[2,26,260,263,731], [2,26,260,728,731],[0,2,26,494,497],[2,26,494,497,731],[2,26,494,728,731], [0,2,29,229,463],[0,2,29,229,697],[0,2,29,263,463],[0,2,29,497,697], [0,2,35,229,463],[0,2,35,229,697],[0,2,35,269,463],[0,2,35,503,697], [0,2,236,239,260],[2,236,239,260,728],[2,236,239,707,728],[0,2,236,260,263], [2,236,260,263,731],[2,236,260,728,731],[0,2,236,263,463],[0,2,236,269,463], [2,236,704,707,728],[2,236,704,728,731],[0,2,470,473,494],[2,470,473,494,728], [2,470,473,707,728],[0,2,470,494,497],[2,470,494,497,731],[2,470,494,728,731], [0,2,470,497,697],[0,2,470,503,697],[2,470,704,707,728],[2,470,704,728,731], [0,3,4,5,473],[0,3,4,238,706],[0,3,4,472,473],[0,3,4,472,706], [0,3,5,26,260],[0,3,5,26,494],[0,3,5,239,260],[0,3,5,473,494], [0,3,24,26,260],[0,3,24,26,494],[0,3,24,258,260],[0,3,24,258,726], [0,3,24,492,494],[0,3,24,492,726],[0,3,237,238,706],[0,3,237,239,260], [0,3,237,258,260],[0,3,237,258,726],[0,3,237,705,706],[0,3,237,705,726], [0,3,471,472,473],[0,3,471,472,706],[0,3,471,473,494],[0,3,471,492,494], [0,3,471,492,726],[0,3,471,705,706],[0,3,471,705,726],[0,24,26,29,263], [0,24,26,29,497],[0,24,26,260,263],[0,24,26,494,497],[0,24,27,29,263], [0,24,27,29,497],[0,24,27,261,263],[0,24,27,261,729],[0,24,27,495,497], [0,24,27,495,729],[0,24,258,260,263],[0,24,258,261,263],[0,24,258,261,729], [0,24,258,726,729],[0,24,492,494,497],[0,24,492,495,497],[0,24,492,495,729], [0,24,492,726,729],[0,27,29,229,463],[0,27,29,229,697],[0,27,29,263,463], [0,27,29,497,697],[0,27,222,226,460],[0,27,222,226,694],[0,27,222,229,463], [0,27,222,229,697],[0,27,222,456,460],[0,27,222,456,463],[0,27,222,690,694], [0,27,222,690,697],[0,27,225,226,460],[0,27,225,226,694],[0,27,225,459,460], [0,27,225,459,927],[0,27,225,693,694],[0,27,225,693,927],[0,27,261,263,463], [0,27,261,456,460],[0,27,261,456,463],[0,27,261,459,460],[0,27,261,459,927], [0,27,261,729,927],[0,27,495,497,697],[0,27,495,690,694],[0,27,495,690,697], [0,27,495,693,694],[0,27,495,693,927],[0,27,495,729,927],[0,33,34,35,503], [0,33,34,226,460],[0,33,34,226,694],[0,33,34,268,460],[0,33,34,502,503], [0,33,34,502,694],[0,33,35,229,463],[0,33,35,229,697],[0,33,35,269,463], [0,33,35,503,697],[0,33,222,226,460],[0,33,222,226,694],[0,33,222,229,463], [0,33,222,229,697],[0,33,222,456,460],[0,33,222,456,463],[0,33,222,690,694], [0,33,222,690,697],[0,33,267,268,460],[0,33,267,269,463],[0,33,267,456,460], [0,33,267,456,463],[0,33,501,502,503],[0,33,501,502,694],[0,33,501,503,697], [0,33,501,690,694],[0,33,501,690,697],[234,235,236,239,707],[234,235,236,269,737], [234,235,236,704,707],[234,235,236,704,737],[234,235,238,239,707],[0,234,235,238,706], [234,235,238,706,707],[234,235,268,269,737],[0,234,235,268,460],[234,235,268,460,928], [234,235,268,736,737],[234,235,268,736,928],[0,234,235,459,460],[234,235,459,460,928], [0,234,235,459,927],[234,235,459,927,928],[234,235,703,704,707],[234,235,703,704,737], [0,234,235,703,706],[234,235,703,706,707],[234,235,703,736,737],[234,235,703,736,928], [0,234,235,703,927],[234,235,703,927,928],[0,234,236,239,260],[234,236,239,260,728], [234,236,239,707,728],[0,234,236,260,263],[234,236,260,263,731],[234,236,260,728,731], [0,234,236,263,463],[234,236,263,463,931],[234,236,263,731,931],[0,234,236,269,463], [234,236,269,463,931],[234,236,269,737,931],[234,236,704,707,728],[234,236,704,728,731], [234,236,704,731,931],[234,236,704,737,931],[234,237,238,239,707],[0,234,237,238,706], [234,237,238,706,707],[0,234,237,239,260],[234,237,239,260,728],[234,237,239,707,728], [0,234,237,258,260],[234,237,258,260,728],[0,234,237,258,726],[234,237,258,726,728], [0,234,237,705,706],[234,237,705,706,707],[234,237,705,707,728],[0,234,237,705,726], [234,237,705,726,728],[0,234,258,260,263],[234,258,260,263,731],[234,258,260,728,731], [0,234,258,261,263],[234,258,261,263,731],[0,234,258,261,729],[234,258,261,729,731], [234,258,726,728,731],[0,234,258,726,729],[234,258,726,729,731],[0,234,261,263,463], [234,261,263,463,931],[234,261,263,731,931],[0,234,261,456,460],[234,261,456,460,928], [0,234,261,456,463],[234,261,456,463,931],[234,261,456,924,928],[234,261,456,924,931], [0,234,261,459,460],[234,261,459,460,928],[0,234,261,459,927],[234,261,459,927,928], [234,261,729,731,931],[234,261,729,924,928],[234,261,729,924,931],[0,234,261,729,927], [234,261,729,927,928],[234,267,268,269,737],[0,234,267,268,460],[234,267,268,460,928], [234,267,268,736,737],[234,267,268,736,928],[0,234,267,269,463],[234,267,269,463,931], [234,267,269,737,931],[0,234,267,456,460],[234,267,456,460,928],[0,234,267,456,463], [234,267,456,463,931],[234,267,456,924,928],[234,267,456,924,931],[234,267,735,736,737], [234,267,735,736,928],[234,267,735,737,931],[234,267,735,924,928],[234,267,735,924,931], [234,702,703,704,707],[234,702,703,704,737],[0,234,702,703,706],[234,702,703,706,707], [234,702,703,736,737],[234,702,703,736,928],[0,234,702,703,927],[234,702,703,927,928], [234,702,704,707,728],[234,702,704,728,731],[234,702,704,731,931],[234,702,704,737,931], [0,234,702,705,706],[234,702,705,706,707],[234,702,705,707,728],[0,234,702,705,726], [234,702,705,726,728],[234,702,726,728,731],[0,234,702,726,729],[234,702,726,729,731], [234,702,729,731,931],[234,702,729,924,928],[234,702,729,924,931],[0,234,702,729,927], [234,702,729,927,928],[234,702,735,736,737],[234,702,735,736,928],[234,702,735,737,931], [234,702,735,924,928],[234,702,735,924,931],[0,468,469,470,473],[468,469,470,473,707], [0,468,469,470,503],[468,469,470,503,737],[468,469,470,704,707],[468,469,470,704,737], [0,468,469,472,473],[468,469,472,473,707],[0,468,469,472,706],[468,469,472,706,707], [0,468,469,502,503],[468,469,502,503,737],[0,468,469,502,694],[468,469,502,694,928], [468,469,502,736,737],[468,469,502,736,928],[0,468,469,693,694],[468,469,693,694,928], [0,468,469,693,927],[468,469,693,927,928],[468,469,703,704,707],[468,469,703,704,737], [0,468,469,703,706],[468,469,703,706,707],[468,469,703,736,737],[468,469,703,736,928], [0,468,469,703,927],[468,469,703,927,928],[0,468,470,473,494],[468,470,473,494,728], [468,470,473,707,728],[0,468,470,494,497],[468,470,494,497,731],[468,470,494,728,731], [0,468,470,497,697],[468,470,497,697,931],[468,470,497,731,931],[0,468,470,503,697], [468,470,503,697,931],[468,470,503,737,931],[468,470,704,707,728],[468,470,704,728,731], [468,470,704,731,931],[468,470,704,737,931],[0,468,471,472,473],[468,471,472,473,707], [0,468,471,472,706],[468,471,472,706,707],[0,468,471,473,494],[468,471,473,494,728], [468,471,473,707,728],[0,468,471,492,494],[468,471,492,494,728],[0,468,471,492,726], [468,471,492,726,728],[0,468,471,705,706],[468,471,705,706,707],[468,471,705,707,728], [0,468,471,705,726],[468,471,705,726,728],[0,468,492,494,497],[468,492,494,497,731], [468,492,494,728,731],[0,468,492,495,497],[468,492,495,497,731],[0,468,492,495,729], [468,492,495,729,731],[468,492,726,728,731],[0,468,492,726,729],[468,492,726,729,731], [0,468,495,497,697],[468,495,497,697,931],[468,495,497,731,931],[0,468,495,690,694], [468,495,690,694,928],[0,468,495,690,697],[468,495,690,697,931],[468,495,690,924,928], [468,495,690,924,931],[0,468,495,693,694],[468,495,693,694,928],[0,468,495,693,927], [468,495,693,927,928],[468,495,729,731,931],[468,495,729,924,928],[468,495,729,924,931], [0,468,495,729,927],[468,495,729,927,928],[0,468,501,502,503],[468,501,502,503,737], [0,468,501,502,694],[468,501,502,694,928],[468,501,502,736,737],[468,501,502,736,928], [0,468,501,503,697],[468,501,503,697,931],[468,501,503,737,931],[0,468,501,690,694], [468,501,690,694,928],[0,468,501,690,697],[468,501,690,697,931],[468,501,690,924,928], [468,501,690,924,931],[468,501,735,736,737],[468,501,735,736,928],[468,501,735,737,931], [468,501,735,924,928],[468,501,735,924,931],[468,702,703,704,707],[468,702,703,704,737], [0,468,702,703,706],[468,702,703,706,707],[468,702,703,736,737],[468,702,703,736,928], [0,468,702,703,927],[468,702,703,927,928],[468,702,704,707,728],[468,702,704,728,731], [468,702,704,731,931],[468,702,704,737,931],[0,468,702,705,706],[468,702,705,706,707], [468,702,705,707,728],[0,468,702,705,726],[468,702,705,726,728],[468,702,726,728,731], [0,468,702,726,729],[468,702,726,729,731],[468,702,729,731,931],[468,702,729,924,928], [468,702,729,924,931],[0,468,702,729,927],[468,702,729,927,928],[468,702,735,736,737], [468,702,735,736,928],[468,702,735,737,931],[468,702,735,924,928],[468,702,735,924,931], [1,2,5,41,275],[2,5,41,275,743],[1,2,5,41,509],[2,5,41,509,743], [1,2,5,239,275],[2,5,239,275,743],[2,5,239,707,743],[1,2,5,473,509], [2,5,473,509,743],[2,5,473,707,743],[1,2,35,229,463],[1,2,35,229,697], [1,2,35,269,463],[1,2,35,503,697],[1,2,38,41,275],[2,38,41,275,743], [1,2,38,41,509],[2,38,41,509,743],[1,2,38,232,466],[1,2,38,232,700], [1,2,38,272,275],[2,38,272,275,743],[1,2,38,272,466],[2,38,272,740,743], [1,2,38,506,509],[2,38,506,509,743],[1,2,38,506,700],[2,38,506,740,743], [1,2,228,229,463],[1,2,228,229,697],[1,2,228,232,466],[1,2,228,232,700], [1,2,228,462,463],[1,2,228,462,466],[1,2,228,696,697],[1,2,228,696,700], [1,2,236,239,275],[2,236,239,275,743],[2,236,239,707,743],[1,2,236,269,463], [1,2,236,272,275],[2,236,272,275,743],[1,2,236,272,466],[2,236,272,740,743], [1,2,236,462,463],[1,2,236,462,466],[2,236,704,707,743],[2,236,704,740,743], [1,2,470,473,509],[2,470,473,509,743],[2,470,473,707,743],[1,2,470,503,697], [1,2,470,506,509],[2,470,506,509,743],[1,2,470,506,700],[2,470,506,740,743], [1,2,470,696,697],[1,2,470,696,700],[2,470,704,707,743],[2,470,704,740,743], [1,4,5,41,275],[1,4,5,41,509],[1,4,5,239,275],[1,4,5,473,509], [1,4,39,41,275],[1,4,39,41,509],[1,4,39,273,275],[1,4,39,273,741], [1,4,39,507,509],[1,4,39,507,741],[1,4,238,239,275],[1,4,238,273,275], [1,4,238,273,741],[1,4,238,706,741],[1,4,472,473,509],[1,4,472,507,509], [1,4,472,507,741],[1,4,472,706,741],[1,34,35,229,463],[1,34,35,229,697], [1,34,35,269,463],[1,34,35,503,697],[1,34,223,226,460],[1,34,223,226,694], [1,34,223,229,463],[1,34,223,229,697],[1,34,223,457,460],[1,34,223,457,463], [1,34,223,691,694],[1,34,223,691,697],[1,34,268,269,463],[1,34,268,457,460], [1,34,268,457,463],[1,34,502,503,697],[1,34,502,691,694],[1,34,502,691,697], [1,36,38,41,275],[1,36,38,41,509],[1,36,38,232,466],[1,36,38,232,700], [1,36,38,272,275],[1,36,38,272,466],[1,36,38,506,509],[1,36,38,506,700], [1,36,39,41,275],[1,36,39,41,509],[1,36,39,273,275],[1,36,39,273,741], [1,36,39,507,509],[1,36,39,507,741],[1,36,223,226,460],[1,36,223,226,694], [1,36,223,229,463],[1,36,223,229,697],[1,36,223,457,460],[1,36,223,457,463], [1,36,223,691,694],[1,36,223,691,697],[1,36,225,226,460],[1,36,225,226,694], [1,36,225,459,460],[1,36,225,459,927],[1,36,225,693,694],[1,36,225,693,927], [1,36,228,229,463],[1,36,228,229,697],[1,36,228,232,466],[1,36,228,232,700], [1,36,228,462,463],[1,36,228,462,466],[1,36,228,696,697],[1,36,228,696,700], [1,36,270,272,275],[1,36,270,272,466],[1,36,270,273,275],[1,36,270,273,741], [1,36,270,457,460],[1,36,270,457,463],[1,36,270,459,460],[1,36,270,459,927], [1,36,270,462,463],[1,36,270,462,466],[1,36,270,738,741],[1,36,270,738,927], [1,36,504,506,509],[1,36,504,506,700],[1,36,504,507,509],[1,36,504,507,741], [1,36,504,691,694],[1,36,504,691,697],[1,36,504,693,694],[1,36,504,693,927], 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[75,309,312,313,940],[75,309,312,314,940],[309,312,313,314,940],[78,80,83,317,940], [79,80,83,317,940],[78,80,314,317,940],[79,80,314,317,940],[79,82,83,317,940], [78,79,82,316,940],[79,82,316,317,940],[79,313,314,317,940],[78,79,313,316,940], [79,313,316,317,940],[78,81,83,317,940],[78,81,82,316,940],[78,81,315,316,940], [78,81,315,317,940],[78,312,314,317,940],[312,313,314,317,940],[78,312,313,316,940], [312,313,316,317,940],[78,312,315,316,940],[78,312,315,317,940],[312,315,316,317,940], [81,83,86,320,940],[82,83,86,320,940],[81,83,317,320,940],[82,83,317,320,940], [82,85,86,320,940],[81,82,85,319,940],[82,85,319,320,940],[82,316,317,320,940], [81,82,316,319,940],[82,316,319,320,940],[81,84,86,320,940],[81,84,85,319,940], [81,84,318,319,940],[81,84,318,320,940],[81,315,317,320,940],[315,316,317,320,940], [81,315,316,319,940],[315,316,319,320,940],[81,315,318,319,940],[81,315,318,320,940], [315,318,319,320,940],[84,86,89,323,940],[85,86,89,323,940],[84,86,320,323,940], 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[330,331,332,335,940],[96,330,331,334,940],[330,331,334,335,940],[96,330,333,334,940], [96,330,333,335,940],[330,333,334,335,940],[99,101,104,338,940],[100,101,104,338,940], [99,101,335,338,940],[100,101,335,338,940],[100,103,104,338,940],[99,100,103,337,940], [100,103,337,338,940],[100,334,335,338,940],[99,100,334,337,940],[100,334,337,338,940], [99,102,104,338,940],[99,102,103,337,940],[99,102,336,337,940],[99,102,336,338,940], [99,333,335,338,940],[333,334,335,338,940],[99,333,334,337,940],[333,334,337,338,940], [99,333,336,337,940],[99,333,336,338,940],[333,336,337,338,940],[102,104,107,341,940], [103,104,107,341,940],[102,104,338,341,940],[103,104,338,341,940],[103,106,107,341,940], [102,103,106,340,940],[103,106,340,341,940],[103,337,338,341,940],[102,103,337,340,940], [103,337,340,341,940],[102,105,107,341,940],[102,105,106,340,940],[102,105,339,340,940], [102,105,339,341,940],[102,336,338,341,940],[336,337,338,341,940],[102,336,337,340,940], [336,337,340,341,940],[102,336,339,340,940],[102,336,339,341,940],[336,339,340,341,940], [105,107,110,344,940],[106,107,110,344,940],[105,107,341,344,940],[106,107,341,344,940], [106,109,110,344,940],[105,106,109,343,940],[106,109,343,344,940],[106,340,341,344,940], [105,106,340,343,940],[106,340,343,344,940],[105,108,110,344,940],[105,108,109,343,940], [105,108,342,343,940],[105,108,342,344,940],[105,339,341,344,940],[339,340,341,344,940], [105,339,340,343,940],[339,340,343,344,940],[105,339,342,343,940],[105,339,342,344,940], [339,342,343,344,940],[108,110,113,347,940],[109,110,113,347,940],[108,110,344,347,940], [109,110,344,347,940],[109,112,113,347,940],[108,109,112,346,940],[109,112,346,347,940], [109,343,344,347,940],[108,109,343,346,940],[109,343,346,347,940],[108,111,113,347,940], [108,111,112,346,940],[108,111,345,346,940],[108,111,345,347,940],[108,342,344,347,940], [342,343,344,347,940],[108,342,343,346,940],[342,343,346,347,940],[108,342,345,346,940], 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[117,119,122,356,940],[118,119,122,356,940],[117,119,353,356,940],[118,119,353,356,940], [118,121,122,356,940],[117,118,121,355,940],[118,121,355,356,940],[118,352,353,356,940], [117,118,352,355,940],[118,352,355,356,940],[117,120,122,356,940],[117,120,121,355,940], [117,120,354,355,940],[117,120,354,356,940],[117,351,353,356,940],[351,352,353,356,940], [117,351,352,355,940],[351,352,355,356,940],[117,351,354,355,940],[117,351,354,356,940], [351,354,355,356,940],[120,122,125,359,940],[121,122,125,359,940],[120,122,356,359,940], [121,122,356,359,940],[121,124,125,359,940],[120,121,124,358,940],[121,124,358,359,940], [121,355,356,359,940],[120,121,355,358,940],[121,355,358,359,940],[120,123,125,359,940], [120,123,124,358,940],[120,123,357,358,940],[120,123,357,359,940],[120,354,356,359,940], [354,355,356,359,940],[120,354,355,358,940],[354,355,358,359,940],[120,354,357,358,940], [120,354,357,359,940],[354,357,358,359,940],[123,125,128,362,940],[124,125,128,362,940], [123,125,359,362,940],[124,125,359,362,940],[124,127,128,362,940],[123,124,127,361,940], [124,127,361,362,940],[124,358,359,362,940],[123,124,358,361,940],[124,358,361,362,940], [123,126,128,362,940],[123,126,127,361,940],[123,126,360,361,940],[123,126,360,362,940], [123,357,359,362,940],[357,358,359,362,940],[123,357,358,361,940],[357,358,361,362,940], [123,357,360,361,940],[123,357,360,362,940],[357,360,361,362,940],[126,128,131,365,940], [127,128,131,365,940],[126,128,362,365,940],[127,128,362,365,940],[127,130,131,365,940], [126,127,130,364,940],[127,130,364,365,940],[127,361,362,365,940],[126,127,361,364,940], [127,361,364,365,940],[126,129,131,365,940],[126,129,130,364,940],[126,129,363,364,940], [126,129,363,365,940],[126,360,362,365,940],[360,361,362,365,940],[126,360,361,364,940], [360,361,364,365,940],[126,360,363,364,940],[126,360,363,365,940],[360,363,364,365,940], [129,131,134,368,940],[130,131,134,368,940],[129,131,365,368,940],[130,131,365,368,940], [130,133,134,368,940],[129,130,133,367,940],[130,133,367,368,940],[130,364,365,368,940], [129,130,364,367,940],[130,364,367,368,940],[129,132,134,368,940],[129,132,133,367,940], [129,132,366,367,940],[129,132,366,368,940],[129,363,365,368,940],[363,364,365,368,940], [129,363,364,367,940],[363,364,367,368,940],[129,363,366,367,940],[129,363,366,368,940], [363,366,367,368,940],[132,134,137,371,940],[133,134,137,371,940],[132,134,368,371,940], [133,134,368,371,940],[133,136,137,371,940],[132,133,136,370,940],[133,136,370,371,940], [133,367,368,371,940],[132,133,367,370,940],[133,367,370,371,940],[132,135,137,371,940], [132,135,136,370,940],[132,135,369,370,940],[132,135,369,371,940],[132,366,368,371,940], [366,367,368,371,940],[132,366,367,370,940],[366,367,370,371,940],[132,366,369,370,940], [132,366,369,371,940],[366,369,370,371,940],[135,137,140,374,940],[136,137,140,374,940], [135,137,371,374,940],[136,137,371,374,940],[136,139,140,374,940],[135,136,139,373,940], [136,139,373,374,940],[136,370,371,374,940],[135,136,370,373,940],[136,370,373,374,940], [135,138,140,374,940],[135,138,139,373,940],[135,138,372,373,940],[135,138,372,374,940], [135,369,371,374,940],[369,370,371,374,940],[135,369,370,373,940],[369,370,373,374,940], [135,369,372,373,940],[135,369,372,374,940],[369,372,373,374,940],[138,140,143,377,940], [139,140,143,377,940],[138,140,374,377,940],[139,140,374,377,940],[139,142,143,377,940], [138,139,142,376,940],[139,142,376,377,940],[139,373,374,377,940],[138,139,373,376,940], [139,373,376,377,940],[138,141,143,377,940],[138,141,142,376,940],[138,141,375,376,940], [138,141,375,377,940],[138,372,374,377,940],[372,373,374,377,940],[138,372,373,376,940], [372,373,376,377,940],[138,372,375,376,940],[138,372,375,377,940],[372,375,376,377,940], [141,143,146,380,940],[142,143,146,380,940],[141,143,377,380,940],[142,143,377,380,940], [142,145,146,380,940],[141,142,145,379,940],[142,145,379,380,940],[142,376,377,380,940], [141,142,376,379,940],[142,376,379,380,940],[141,144,146,380,940],[141,144,145,379,940], [141,144,378,379,940],[141,144,378,380,940],[141,375,377,380,940],[375,376,377,380,940], [141,375,376,379,940],[375,376,379,380,940],[141,375,378,379,940],[141,375,378,380,940], [375,378,379,380,940],[144,146,149,383,940],[145,146,149,383,940],[144,146,380,383,940], [145,146,380,383,940],[145,148,149,383,940],[144,145,148,382,940],[145,148,382,383,940], [145,379,380,383,940],[144,145,379,382,940],[145,379,382,383,940],[144,147,149,383,940], [144,147,148,382,940],[144,147,381,382,940],[144,147,381,383,940],[144,378,380,383,940], [378,379,380,383,940],[144,378,379,382,940],[378,379,382,383,940],[144,378,381,382,940], [144,378,381,383,940],[378,381,382,383,940],[147,149,152,386,940],[148,149,152,386,940], [147,149,383,386,940],[148,149,383,386,940],[148,151,152,386,940],[147,148,151,385,940], [148,151,385,386,940],[148,382,383,386,940],[147,148,382,385,940],[148,382,385,386,940], [147,150,152,386,940],[147,150,151,385,940],[147,150,384,385,940],[147,150,384,386,940], [147,381,383,386,940],[381,382,383,386,940],[147,381,382,385,940],[381,382,385,386,940], [147,381,384,385,940],[147,381,384,386,940],[381,384,385,386,940],[150,152,155,389,940], [151,152,155,389,940],[150,152,386,389,940],[151,152,386,389,940],[151,154,155,389,940], [150,151,154,388,940],[151,154,388,389,940],[151,385,386,389,940],[150,151,385,388,940], [151,385,388,389,940],[150,153,155,389,940],[150,153,154,388,940],[150,153,387,388,940], [150,153,387,389,940],[150,384,386,389,940],[384,385,386,389,940],[150,384,385,388,940], [384,385,388,389,940],[150,384,387,388,940],[150,384,387,389,940],[384,387,388,389,940], [153,155,158,392,940],[154,155,158,392,940],[153,155,389,392,940],[154,155,389,392,940], [154,157,158,392,940],[153,154,157,391,940],[154,157,391,392,940],[154,388,389,392,940], [153,154,388,391,940],[154,388,391,392,940],[153,156,158,392,940],[153,156,157,391,940], [153,156,390,391,940],[153,156,390,392,940],[153,387,389,392,940],[387,388,389,392,940], [153,387,388,391,940],[387,388,391,392,940],[153,387,390,391,940],[153,387,390,392,940], [387,390,391,392,940],[156,158,161,395,940],[157,158,161,395,940],[156,158,392,395,940], [157,158,392,395,940],[157,160,161,395,940],[156,157,160,394,940],[157,160,394,395,940], [157,391,392,395,940],[156,157,391,394,940],[157,391,394,395,940],[156,159,161,395,940], [156,159,160,394,940],[156,159,393,394,940],[156,159,393,395,940],[156,390,392,395,940], [390,391,392,395,940],[156,390,391,394,940],[390,391,394,395,940],[156,390,393,394,940], [156,390,393,395,940],[390,393,394,395,940],[159,161,164,398,940],[160,161,164,398,940], [159,161,395,398,940],[160,161,395,398,940],[160,163,164,398,940],[159,160,163,397,940], [160,163,397,398,940],[160,394,395,398,940],[159,160,394,397,940],[160,394,397,398,940], [159,162,164,398,940],[159,162,163,397,940],[159,162,396,397,940],[159,162,396,398,940], [159,393,395,398,940],[393,394,395,398,940],[159,393,394,397,940],[393,394,397,398,940], [159,393,396,397,940],[159,393,396,398,940],[393,396,397,398,940],[162,164,167,401,940], [163,164,167,401,940],[162,164,398,401,940],[163,164,398,401,940],[163,166,167,401,940], [162,163,166,400,940],[163,166,400,401,940],[163,397,398,401,940],[162,163,397,400,940], [163,397,400,401,940],[162,165,167,401,940],[162,165,166,400,940],[162,165,399,400,940], [162,165,399,401,940],[162,396,398,401,940],[396,397,398,401,940],[162,396,397,400,940], [396,397,400,401,940],[162,396,399,400,940],[162,396,399,401,940],[396,399,400,401,940], [165,167,170,404,940],[166,167,170,404,940],[165,167,401,404,940],[166,167,401,404,940], [166,169,170,404,940],[165,166,169,403,940],[166,169,403,404,940],[166,400,401,404,940], [165,166,400,403,940],[166,400,403,404,940],[165,168,170,404,940],[165,168,169,403,940], [165,168,402,403,940],[165,168,402,404,940],[165,399,401,404,940],[399,400,401,404,940], [165,399,400,403,940],[399,400,403,404,940],[165,399,402,403,940],[165,399,402,404,940], [399,402,403,404,940],[168,170,173,407,940],[169,170,173,407,940],[168,170,404,407,940], [169,170,404,407,940],[169,172,173,407,940],[168,169,172,406,940],[169,172,406,407,940], [169,403,404,407,940],[168,169,403,406,940],[169,403,406,407,940],[168,171,173,407,940], [168,171,172,406,940],[168,171,405,406,940],[168,171,405,407,940],[168,402,404,407,940], [402,403,404,407,940],[168,402,403,406,940],[402,403,406,407,940],[168,402,405,406,940], [168,402,405,407,940],[402,405,406,407,940],[171,173,176,410,940],[172,173,176,410,940], [171,173,407,410,940],[172,173,407,410,940],[172,175,176,410,940],[171,172,175,409,940], [172,175,409,410,940],[172,406,407,410,940],[171,172,406,409,940],[172,406,409,410,940], [171,174,176,410,940],[171,174,175,409,940],[171,174,408,409,940],[171,174,408,410,940], [171,405,407,410,940],[405,406,407,410,940],[171,405,406,409,940],[405,406,409,410,940], 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