#################################################################################### #################################################################################### #################################################################################### ### ### ### ### ### TRIANGULATIONS OF AKBULUT-KIRBY SPHERES ### ### by Frank H. Lutz and Mimi Tsuruga ### ### http://matsguru.com/research/AKspheres.html ### ### ### ### name of example: ### ### ### ### AK_III_015 ### ### ### ### ### ### description: ### ### ### ### Type 3 construction of triangulation of Akbulut-Kirby sphere ### ### ### ### ### ### properties: ### ### ### ### f=(674,9684,32016,38340,15336) ### ### 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:=[ [0,1,2,5,449],[0,1,2,35,479],[0,1,2,446,449],[0,1,2,446,479], [0,1,4,5,449],[0,1,4,226,448],[0,1,4,448,449],[0,1,34,35,479], [0,1,34,214,436],[0,1,34,214,658],[0,1,34,256,436],[0,1,34,478,479], [0,1,34,478,658],[0,1,213,214,436],[0,1,213,214,658],[0,1,213,435,436], [0,1,213,435,657],[0,1,213,657,658],[0,1,223,226,448],[0,1,223,256,436], [0,1,223,435,436],[0,1,223,435,657],[0,1,445,446,449],[0,1,445,446,479], [0,1,223,445,448],[0,1,445,448,449],[0,1,445,478,479],[0,1,445,478,658], [0,1,223,445,657],[0,1,445,657,658],[0,2,5,26,248],[0,2,5,26,470], [2,5,26,248,470],[0,2,5,227,248],[2,5,227,248,470],[0,2,5,449,470], [2,5,227,449,470],[0,2,26,29,251],[0,2,26,29,473],[2,26,29,251,473], [0,2,26,248,251],[2,26,248,251,473],[0,2,26,470,473],[2,26,248,470,473], [0,2,29,217,439],[0,2,29,217,661],[0,2,29,251,439],[0,2,29,473,661], [0,2,35,217,439],[0,2,35,217,661],[0,2,35,257,439],[0,2,35,479,661], [0,2,224,227,248],[2,224,227,248,470],[2,224,227,449,470],[0,2,224,248,251], [2,224,248,251,473],[2,224,248,470,473],[0,2,224,251,439],[0,2,224,257,439], [0,2,446,449,470],[2,224,446,449,470],[0,2,446,470,473],[2,224,446,470,473], [0,2,446,473,661],[0,2,446,479,661],[0,3,4,5,449],[0,3,4,226,448], [0,3,4,448,449],[0,3,5,26,248],[0,3,5,26,470],[0,3,5,227,248], [0,3,5,449,470],[0,3,24,26,248],[0,3,24,26,470],[0,3,24,246,248], [0,3,24,246,468],[0,3,24,468,470],[0,3,225,226,448],[0,3,225,227,248], [0,3,225,246,248],[0,3,225,246,468],[0,3,225,447,448],[0,3,447,448,449], [0,3,447,449,470],[0,3,225,447,468],[0,3,447,468,470],[0,24,26,29,251], [0,24,26,29,473],[0,24,26,248,251],[0,24,26,470,473],[0,24,27,29,251], [0,24,27,29,473],[0,24,27,249,251],[0,24,27,249,471],[0,24,27,471,473], [0,24,246,248,251],[0,24,246,249,251],[0,24,246,249,471],[0,24,468,470,473], [0,24,246,468,471],[0,24,468,471,473],[0,27,29,217,439],[0,27,29,217,661], [0,27,29,251,439],[0,27,29,473,661],[0,27,210,214,436],[0,27,210,214,658], [0,27,210,217,439],[0,27,210,217,661],[0,27,210,432,436],[0,27,210,432,439], [0,27,210,654,658],[0,27,210,654,661],[0,27,213,214,436],[0,27,213,214,658], [0,27,213,435,436],[0,27,213,435,657],[0,27,213,657,658],[0,27,249,251,439], [0,27,249,432,436],[0,27,249,432,439],[0,27,249,435,436],[0,27,249,435,657], [0,27,471,473,661],[0,27,471,654,658],[0,27,471,654,661],[0,27,249,471,657], [0,27,471,657,658],[0,33,34,35,479],[0,33,34,214,436],[0,33,34,214,658], [0,33,34,256,436],[0,33,34,478,479],[0,33,34,478,658],[0,33,35,217,439], [0,33,35,217,661],[0,33,35,257,439],[0,33,35,479,661],[0,33,210,214,436], [0,33,210,214,658],[0,33,210,217,439],[0,33,210,217,661],[0,33,210,432,436], [0,33,210,432,439],[0,33,210,654,658],[0,33,210,654,661],[0,33,255,256,436], [0,33,255,257,439],[0,33,255,432,436],[0,33,255,432,439],[0,33,477,478,479], [0,33,477,478,658],[0,33,477,479,661],[0,33,477,654,658],[0,33,477,654,661], [222,223,224,227,449],[222,223,224,257,479],[222,223,224,446,449],[222,223,224,446,479], [222,223,226,227,449],[0,222,223,226,448],[222,223,226,448,449],[222,223,256,257,479], [0,222,223,256,436],[222,223,256,436,658],[222,223,256,478,479],[222,223,256,478,658], [0,222,223,435,436],[222,223,435,436,658],[0,222,223,435,657],[222,223,435,657,658], [222,223,445,446,449],[222,223,445,446,479],[0,222,223,445,448],[222,223,445,448,449], [222,223,445,478,479],[222,223,445,478,658],[0,222,223,445,657],[222,223,445,657,658], [0,222,224,227,248],[222,224,227,248,470],[222,224,227,449,470],[0,222,224,248,251], [222,224,248,251,473],[222,224,248,470,473],[0,222,224,251,439],[222,224,251,439,661], [222,224,251,473,661],[0,222,224,257,439],[222,224,257,439,661],[222,224,257,479,661], [222,224,446,449,470],[222,224,446,470,473],[222,224,446,473,661],[222,224,446,479,661], [222,225,226,227,449],[0,222,225,226,448],[222,225,226,448,449],[0,222,225,227,248], [222,225,227,248,470],[222,225,227,449,470],[0,222,225,246,248],[222,225,246,248,470], [0,222,225,246,468],[222,225,246,468,470],[0,222,225,447,448],[222,225,447,448,449], [222,225,447,449,470],[0,222,225,447,468],[222,225,447,468,470],[0,222,246,248,251], [222,246,248,251,473],[222,246,248,470,473],[0,222,246,249,251],[222,246,249,251,473], [0,222,246,249,471],[222,246,249,471,473],[222,246,468,470,473],[0,222,246,468,471], [222,246,468,471,473],[0,222,249,251,439],[222,249,251,439,661],[222,249,251,473,661], [0,222,249,432,436],[222,249,432,436,658],[0,222,249,432,439],[222,249,432,439,661], [222,249,432,654,658],[222,249,432,654,661],[0,222,249,435,436],[222,249,435,436,658], [0,222,249,435,657],[222,249,435,657,658],[222,249,471,473,661],[222,249,471,654,658], [222,249,471,654,661],[0,222,249,471,657],[222,249,471,657,658],[222,255,256,257,479], [0,222,255,256,436],[222,255,256,436,658],[222,255,256,478,479],[222,255,256,478,658], [0,222,255,257,439],[222,255,257,439,661],[222,255,257,479,661],[0,222,255,432,436], [222,255,432,436,658],[0,222,255,432,439],[222,255,432,439,661],[222,255,432,654,658], [222,255,432,654,661],[222,255,477,478,479],[222,255,477,478,658],[222,255,477,479,661], [222,255,477,654,658],[222,255,477,654,661],[0,444,445,446,449],[222,444,445,446,449], [0,444,445,446,479],[222,444,445,446,479],[0,222,444,445,448],[0,444,445,448,449], [222,444,445,448,449],[0,444,445,478,479],[222,444,445,478,479],[0,444,445,478,658], [222,444,445,478,658],[0,222,444,445,657],[0,444,445,657,658],[222,444,445,657,658], [0,444,446,449,470],[222,444,446,449,470],[0,444,446,470,473],[222,444,446,470,473], [0,444,446,473,661],[222,444,446,473,661],[0,444,446,479,661],[222,444,446,479,661], [0,222,444,447,448],[0,444,447,448,449],[222,444,447,448,449],[0,444,447,449,470], [222,444,447,449,470],[0,222,444,447,468],[0,444,447,468,470],[222,444,447,468,470], [0,444,468,470,473],[222,444,468,470,473],[0,222,444,468,471],[0,444,468,471,473], [222,444,468,471,473],[0,444,471,473,661],[222,444,471,473,661],[0,444,471,654,658], [222,444,471,654,658],[0,444,471,654,661],[222,444,471,654,661],[0,222,444,471,657], [0,444,471,657,658],[222,444,471,657,658],[0,444,477,478,479],[222,444,477,478,479], [0,444,477,478,658],[222,444,477,478,658],[0,444,477,479,661],[222,444,477,479,661], [0,444,477,654,658],[222,444,477,654,658],[0,444,477,654,661],[222,444,477,654,661], [1,2,5,41,263],[1,2,5,41,485],[2,5,41,263,485],[1,2,5,227,263], [2,5,227,263,485],[1,2,5,449,485],[2,5,227,449,485],[1,2,35,217,439], [1,2,35,217,661],[1,2,35,257,439],[1,2,35,479,661],[1,2,38,41,263], [1,2,38,41,485],[2,38,41,263,485],[1,2,38,220,442],[1,2,38,220,664], [1,2,38,260,263],[2,38,260,263,485],[1,2,38,260,442],[1,2,38,482,485], [2,38,260,482,485],[1,2,38,482,664],[1,2,216,217,439],[1,2,216,217,661], [1,2,216,220,442],[1,2,216,220,664],[1,2,216,438,439],[1,2,216,438,442], [1,2,216,660,661],[1,2,216,660,664],[1,2,224,227,263],[2,224,227,263,485], [2,224,227,449,485],[1,2,224,257,439],[1,2,224,260,263],[2,224,260,263,485], [1,2,224,260,442],[2,224,260,482,485],[1,2,224,438,439],[1,2,224,438,442], [1,2,446,449,485],[2,224,446,449,485],[1,2,446,479,661],[1,2,446,482,485], [2,224,446,482,485],[1,2,446,482,664],[1,2,446,660,661],[1,2,446,660,664], [1,4,5,41,263],[1,4,5,41,485],[1,4,5,227,263],[1,4,5,449,485], [1,4,39,41,263],[1,4,39,41,485],[1,4,39,261,263],[1,4,39,261,483], [1,4,39,483,485],[1,4,226,227,263],[1,4,226,261,263],[1,4,226,261,483], [1,4,448,449,485],[1,4,226,448,483],[1,4,448,483,485],[1,34,35,217,439], [1,34,35,217,661],[1,34,35,257,439],[1,34,35,479,661],[1,34,211,214,436], [1,34,211,214,658],[1,34,211,217,439],[1,34,211,217,661],[1,34,211,433,436], [1,34,211,433,439],[1,34,211,655,658],[1,34,211,655,661],[1,34,256,257,439], [1,34,256,433,436],[1,34,256,433,439],[1,34,478,479,661],[1,34,478,655,658], [1,34,478,655,661],[1,36,38,41,263],[1,36,38,41,485],[1,36,38,220,442], [1,36,38,220,664],[1,36,38,260,263],[1,36,38,260,442],[1,36,38,482,485], [1,36,38,482,664],[1,36,39,41,263],[1,36,39,41,485],[1,36,39,261,263], [1,36,39,261,483],[1,36,39,483,485],[1,36,211,214,436],[1,36,211,214,658], [1,36,211,217,439],[1,36,211,217,661],[1,36,211,433,436],[1,36,211,433,439], [1,36,211,655,658],[1,36,211,655,661],[1,36,213,214,436],[1,36,213,214,658], [1,36,213,435,436],[1,36,213,435,657],[1,36,213,657,658],[1,36,216,217,439], [1,36,216,217,661],[1,36,216,220,442],[1,36,216,220,664],[1,36,216,438,439], [1,36,216,438,442],[1,36,216,660,661],[1,36,216,660,664],[1,36,258,260,263], [1,36,258,260,442],[1,36,258,261,263],[1,36,258,261,483],[1,36,258,433,436], [1,36,258,433,439],[1,36,258,435,436],[1,36,258,435,657],[1,36,258,438,439], [1,36,258,438,442],[1,36,480,482,485],[1,36,480,482,664],[1,36,258,480,483], [1,36,480,483,485],[1,36,480,655,658],[1,36,480,655,661],[1,36,258,480,657], [1,36,480,657,658],[1,36,480,660,661],[1,36,480,660,664],[1,223,224,227,263], [223,224,227,263,485],[223,224,227,449,485],[1,223,224,257,439],[223,224,257,439,661], [223,224,257,479,661],[1,223,224,260,263],[223,224,260,263,485],[1,223,224,260,442], [223,224,260,442,664],[223,224,260,482,485],[223,224,260,482,664],[1,223,224,438,439], [223,224,438,439,661],[1,223,224,438,442],[223,224,438,442,664],[223,224,438,660,661], [223,224,438,660,664],[223,224,446,449,485],[223,224,446,479,661],[223,224,446,482,485], [223,224,446,482,664],[223,224,446,660,661],[223,224,446,660,664],[1,223,226,227,263], [223,226,227,263,485],[223,226,227,449,485],[1,223,226,261,263],[223,226,261,263,485], [1,223,226,261,483],[223,226,261,483,485],[223,226,448,449,485],[1,223,226,448,483], [223,226,448,483,485],[1,223,256,257,439],[223,256,257,439,661],[223,256,257,479,661], [1,223,256,433,436],[223,256,433,436,658],[1,223,256,433,439],[223,256,433,439,661], [223,256,433,655,658],[223,256,433,655,661],[223,256,478,479,661],[223,256,478,655,658], [223,256,478,655,661],[1,223,258,260,263],[223,258,260,263,485],[1,223,258,260,442], [223,258,260,442,664],[223,258,260,482,485],[223,258,260,482,664],[1,223,258,261,263], [223,258,261,263,485],[1,223,258,261,483],[223,258,261,483,485],[1,223,258,433,436], [223,258,433,436,658],[1,223,258,433,439],[223,258,433,439,661],[223,258,433,655,658], [223,258,433,655,661],[1,223,258,435,436],[223,258,435,436,658],[1,223,258,435,657], [223,258,435,657,658],[1,223,258,438,439],[223,258,438,439,661],[1,223,258,438,442], [223,258,438,442,664],[223,258,438,660,661],[223,258,438,660,664],[223,258,480,482,485], [223,258,480,482,664],[1,223,258,480,483],[223,258,480,483,485],[223,258,480,655,658], [223,258,480,655,661],[1,223,258,480,657],[223,258,480,657,658],[223,258,480,660,661], [223,258,480,660,664],[1,445,446,449,485],[223,445,446,449,485],[1,445,446,479,661], [223,445,446,479,661],[1,445,446,482,485],[223,445,446,482,485],[1,445,446,482,664], [223,445,446,482,664],[1,445,446,660,661],[223,445,446,660,661],[1,445,446,660,664], [223,445,446,660,664],[1,445,448,449,485],[223,445,448,449,485],[1,223,445,448,483], [1,445,448,483,485],[223,445,448,483,485],[1,445,478,479,661],[223,445,478,479,661], [1,445,478,655,658],[223,445,478,655,658],[1,445,478,655,661],[223,445,478,655,661], [1,445,480,482,485],[223,445,480,482,485],[1,445,480,482,664],[223,445,480,482,664], [1,223,445,480,483],[1,445,480,483,485],[223,445,480,483,485],[1,445,480,655,658], [223,445,480,655,658],[1,445,480,655,661],[223,445,480,655,661],[1,223,445,480,657], [1,445,480,657,658],[223,445,480,657,658],[1,445,480,660,661],[223,445,480,660,661], [1,445,480,660,664],[223,445,480,660,664],[2,29,216,217,439],[2,29,216,217,661], [2,29,216,220,442],[2,29,216,220,664],[2,29,216,438,439],[2,29,216,438,442], [2,29,216,660,661],[2,29,216,660,664],[2,29,218,220,442],[2,29,218,220,664], [2,29,218,440,442],[2,29,218,440,662],[2,29,218,662,664],[2,29,251,438,439], [2,29,251,438,442],[2,29,251,440,442],[2,29,251,440,662],[2,29,473,660,661], [2,29,473,660,664],[2,29,251,473,662],[2,29,473,662,664],[2,38,218,220,442], [2,38,218,220,664],[2,38,218,440,442],[2,38,218,440,662],[2,38,218,662,664], [2,38,260,440,442],[2,38,260,440,662],[2,38,260,482,662],[2,38,482,662,664], [2,224,251,438,439],[224,251,438,439,661],[2,224,251,438,442],[224,251,438,442,664], [224,251,438,660,661],[224,251,438,660,664],[2,224,251,440,442],[224,251,440,442,664], [2,224,251,440,662],[224,251,440,662,664],[224,251,473,660,661],[224,251,473,660,664], [2,224,251,473,662],[224,251,473,662,664],[2,224,260,440,442],[224,260,440,442,664], [2,224,260,440,662],[224,260,440,662,664],[2,224,260,482,662],[224,260,482,662,664], [2,446,473,660,661],[224,446,473,660,661],[2,446,473,660,664],[224,446,473,660,664], [2,224,446,473,662],[2,446,473,662,664],[224,446,473,662,664],[2,224,446,482,662], [2,446,482,662,664],[224,446,482,662,664],[3,4,5,8,452],[3,4,5,449,452], [3,4,7,8,452],[3,4,7,214,436],[3,4,7,214,658],[3,4,7,229,436], [3,4,7,451,452],[3,4,7,451,658],[3,4,213,214,436],[3,4,213,214,658], [3,4,213,435,436],[3,4,213,435,657],[3,4,213,657,658],[3,4,226,229,436], [3,4,226,435,436],[3,4,226,435,657],[3,4,448,449,452],[3,4,448,451,452], [3,4,448,451,658],[3,4,226,448,657],[3,4,448,657,658],[3,5,8,23,245], [3,5,8,23,467],[5,8,23,245,467],[3,5,8,230,245],[5,8,230,245,467], [3,5,8,452,467],[5,8,230,452,467],[3,5,23,26,248],[3,5,23,26,470], [5,23,26,248,470],[3,5,23,245,248],[5,23,245,248,470],[3,5,23,467,470], [5,23,245,467,470],[3,5,227,230,245],[5,227,230,245,467],[5,227,230,452,467], [3,5,227,245,248],[5,227,245,248,470],[5,227,245,467,470],[3,5,449,452,467], [5,227,449,452,467],[3,5,449,467,470],[5,227,449,467,470],[3,6,7,8,452], [3,6,7,214,436],[3,6,7,214,658],[3,6,7,229,436],[3,6,7,451,452], [3,6,7,451,658],[3,6,8,23,245],[3,6,8,23,467],[3,6,8,230,245], [3,6,8,452,467],[3,6,21,23,245],[3,6,21,23,467],[3,6,21,214,436], [3,6,21,214,658],[3,6,21,243,245],[3,6,21,243,436],[3,6,21,465,467], [3,6,21,465,658],[3,6,228,229,436],[3,6,228,230,245],[3,6,228,243,245], [3,6,228,243,436],[3,6,450,451,452],[3,6,450,451,658],[3,6,450,452,467], [3,6,450,465,467],[3,6,450,465,658],[3,21,23,26,248],[3,21,23,26,470], [3,21,23,245,248],[3,21,23,467,470],[3,21,24,26,248],[3,21,24,26,470], [3,21,24,214,436],[3,21,24,214,658],[3,21,24,246,248],[3,21,24,246,436], [3,21,24,468,470],[3,21,24,468,658],[3,21,243,245,248],[3,21,243,246,248], [3,21,243,246,436],[3,21,465,467,470],[3,21,465,468,470],[3,21,465,468,658], [3,24,213,214,436],[3,24,213,214,658],[3,24,213,435,436],[3,24,213,435,657], [3,24,213,657,658],[3,24,246,435,436],[3,24,246,435,657],[3,24,246,468,657], [3,24,468,657,658],[225,226,227,230,452],[225,226,227,449,452],[225,226,229,230,452], [3,225,226,229,436],[225,226,229,436,658],[225,226,229,451,452],[225,226,229,451,658], [3,225,226,435,436],[225,226,435,436,658],[3,225,226,435,657],[225,226,435,657,658], [225,226,448,449,452],[225,226,448,451,452],[225,226,448,451,658],[3,225,226,448,657], [225,226,448,657,658],[3,225,227,230,245],[225,227,230,245,467],[225,227,230,452,467], [3,225,227,245,248],[225,227,245,248,470],[225,227,245,467,470],[225,227,449,452,467], [225,227,449,467,470],[225,228,229,230,452],[3,225,228,229,436],[225,228,229,436,658], [225,228,229,451,452],[225,228,229,451,658],[3,225,228,230,245],[225,228,230,245,467], 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[11,14,236,251,473],[10,11,14,458,473],[11,14,236,458,473],[10,11,29,32,254], [10,11,29,32,476],[11,29,32,254,476],[10,11,29,251,254],[11,29,251,254,476], [10,11,29,473,476],[11,29,251,473,476],[10,11,233,236,251],[11,233,236,251,473], [11,233,236,458,473],[10,11,233,251,254],[11,233,251,254,476],[11,233,251,473,476], [10,11,455,458,473],[11,233,455,458,473],[10,11,455,473,476],[11,233,455,473,476], [10,13,14,29,251],[10,13,14,29,473],[10,13,14,236,251],[10,13,14,458,473], [10,13,28,29,251],[10,13,28,29,473],[10,13,28,214,436],[10,13,28,214,658], [10,13,28,250,251],[10,13,28,250,436],[10,13,28,472,473],[10,13,28,472,658], [10,13,235,236,251],[10,13,235,250,251],[10,13,235,250,436],[10,13,457,458,473], [10,13,457,472,473],[10,13,457,472,658],[10,28,29,32,254],[10,28,29,32,476], [10,28,29,251,254],[10,28,29,473,476],[10,28,31,32,254],[10,28,31,32,476], [10,28,31,214,436],[10,28,31,214,658],[10,28,31,253,254],[10,28,31,253,436], 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[12,14,236,435,436],[12,14,236,435,657],[12,14,236,458,657],[12,14,458,657,658], [12,15,16,17,461],[12,15,17,239,461],[12,15,16,238,460],[12,15,16,460,461], [12,15,237,239,461],[12,15,237,238,460],[12,15,237,459,460],[12,15,237,459,461], [12,15,459,460,461],[12,234,236,239,461],[234,235,236,239,461],[12,234,236,458,461], [234,235,236,458,461],[234,235,238,239,461],[12,234,235,238,460],[234,235,238,460,461], [12,234,235,435,436],[234,235,435,436,658],[12,234,235,435,657],[234,235,435,657,658], [234,235,457,458,461],[12,234,235,457,460],[234,235,457,460,461],[12,234,235,457,657], [234,235,457,657,658],[12,234,236,435,436],[234,236,435,436,658],[12,234,236,435,657], [234,236,435,657,658],[12,234,236,458,657],[234,236,458,657,658],[12,234,237,239,461], [234,237,238,239,461],[12,234,237,238,460],[234,237,238,460,461],[12,234,237,459,460], [12,234,237,459,461],[234,237,459,460,461],[12,234,456,458,461],[12,456,457,458,461], [234,456,457,458,461],[12,234,456,457,460],[12,456,457,460,461],[234,456,457,460,461], [12,234,456,457,657],[12,456,457,657,658],[234,456,457,657,658],[12,234,456,458,657], [12,456,458,657,658],[234,456,458,657,658],[12,234,456,459,460],[12,234,456,459,461], [12,456,459,460,461],[234,456,459,460,461],[13,14,17,26,248],[13,14,17,26,470], [14,17,26,248,470],[13,14,17,239,248],[14,17,239,248,470],[13,14,17,461,470], [14,17,239,461,470],[13,14,26,29,251],[13,14,26,29,473],[14,26,29,251,473], [13,14,26,248,251],[14,26,248,251,473],[13,14,26,470,473],[14,26,248,470,473], [13,14,236,239,248],[14,236,239,248,470],[14,236,239,461,470],[13,14,236,248,251], [14,236,248,251,473],[14,236,248,470,473],[13,14,458,461,470],[14,236,458,461,470], [13,14,458,470,473],[14,236,458,470,473],[13,16,17,26,248],[13,16,17,26,470], [13,16,17,239,248],[13,16,17,461,470],[13,16,25,26,248],[13,16,25,26,470], [13,16,25,247,248],[13,16,25,247,469],[13,16,25,469,470],[13,16,238,239,248], [13,16,238,247,248],[13,16,238,247,469],[13,16,460,461,470],[13,16,238,460,469], [13,16,460,469,470],[13,25,26,29,251],[13,25,26,29,473],[13,25,26,248,251], [13,25,26,470,473],[13,25,28,29,251],[13,25,28,29,473],[13,25,28,250,251], [13,25,28,250,472],[13,25,28,472,473],[13,25,247,248,251],[13,25,247,250,251], [13,25,247,250,472],[13,25,469,470,473],[13,25,247,469,472],[13,25,469,472,473], [13,28,213,214,436],[13,28,213,214,658],[13,28,213,435,436],[13,28,213,435,657], [13,28,213,657,658],[13,28,250,435,436],[13,28,250,435,657],[13,28,250,472,657], [13,28,472,657,658],[13,235,236,239,248],[235,236,239,248,470],[235,236,239,461,470], [13,235,236,248,251],[235,236,248,251,473],[235,236,248,470,473],[235,236,458,461,470], [235,236,458,470,473],[13,235,238,239,248],[235,238,239,248,470],[235,238,239,461,470], [13,235,238,247,248],[235,238,247,248,470],[13,235,238,247,469],[235,238,247,469,470], [235,238,460,461,470],[13,235,238,460,469],[235,238,460,469,470],[13,235,247,248,251], 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[15,16,238,460,463],[15,16,460,463,464],[16,238,460,463,464],[15,17,20,214,436], [15,17,20,214,658],[15,17,20,242,436],[15,17,20,464,658],[15,17,212,214,436], [15,17,212,214,658],[15,17,212,434,436],[15,17,212,434,656],[15,17,212,656,658], [15,17,239,242,436],[15,17,239,434,436],[15,17,239,434,656],[15,17,461,464,658], [15,17,239,461,656],[15,17,461,656,658],[15,18,19,20,464],[15,18,19,241,463], [15,18,19,463,464],[15,18,20,214,436],[15,18,20,214,658],[15,18,20,242,436], [15,18,20,464,658],[15,18,212,214,436],[15,18,212,214,658],[15,18,212,434,436], [15,18,212,434,656],[15,18,212,656,658],[15,18,240,241,463],[15,18,240,242,436], [15,18,240,434,436],[15,18,240,434,656],[15,18,240,462,463],[15,18,462,463,464], [15,18,462,464,658],[15,18,240,462,656],[15,18,462,656,658],[237,238,239,242,464], [237,238,239,461,464],[237,238,241,242,464],[15,237,238,241,463],[237,238,241,463,464], [237,238,460,461,464],[15,237,238,460,463],[237,238,460,463,464],[15,237,239,242,436], [237,239,242,436,658],[237,239,242,464,658],[15,237,239,434,436],[237,239,434,436,658], [15,237,239,434,656],[237,239,434,656,658],[237,239,461,464,658],[15,237,239,461,656], [237,239,461,656,658],[237,240,241,242,464],[15,237,240,241,463],[237,240,241,463,464], [15,237,240,242,436],[237,240,242,436,658],[237,240,242,464,658],[15,237,240,434,436], [237,240,434,436,658],[15,237,240,434,656],[237,240,434,656,658],[15,237,240,462,463], [237,240,462,463,464],[237,240,462,464,658],[15,237,240,462,656],[237,240,462,656,658], [15,459,460,461,464],[237,459,460,461,464],[15,237,459,460,463],[15,459,460,463,464], [237,459,460,463,464],[15,459,461,464,658],[237,459,461,464,658],[15,237,459,461,656], [15,459,461,656,658],[237,459,461,656,658],[15,237,459,462,463],[15,459,462,463,464], [237,459,462,463,464],[15,459,462,464,658],[237,459,462,464,658],[15,237,459,462,656], [15,459,462,656,658],[237,459,462,656,658],[16,17,20,214,436],[16,17,20,214,658], 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