#################################################################################### #################################################################################### #################################################################################### ### ### ### ### ### TRIANGULATIONS OF AKBULUT-KIRBY SPHERES ### ### by Frank H. Lutz and Mimi Tsuruga ### ### http://matsguru.com/research/AKspheres.html ### ### ### ### name of example: ### ### ### ### AK_I_018 ### ### ### ### ### ### description: ### ### ### ### Type 1 construction of triangulation of Akbulut-Kirby sphere ### ### ### ### ### ### properties: ### ### ### ### f=(1044,16158,54212,65160,26064) ### ### 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:=[ [0,1,2,5,263],[0,1,2,5,516],[1,2,5,516,1038],[1,2,5,527,1038], [0,1,2,35,293],[0,1,2,35,516],[1,2,35,516,1038],[1,2,35,557,1038], [0,1,2,260,263],[0,1,2,260,293],[1,2,524,527,1038],[1,2,524,557,1038], [0,1,4,5,263],[0,1,4,5,516],[0,1,4,516,1038],[1,4,5,516,1038], [1,4,5,527,1038],[0,1,4,262,263],[0,1,4,262,784],[0,1,4,526,1038], [1,4,526,527,1038],[0,1,4,526,784],[0,1,34,35,293],[0,1,34,35,516], [0,1,34,516,1038],[1,34,35,516,1038],[1,34,35,557,1038],[0,1,34,250,508], [0,1,34,250,772],[0,1,34,292,293],[0,1,34,292,508],[0,1,34,556,1038], [1,34,556,557,1038],[0,1,34,556,772],[0,1,249,250,508],[0,1,249,250,772], [0,1,249,507,508],[0,1,249,507,1029],[0,1,249,771,772],[0,1,249,771,1029], [0,1,259,260,263],[0,1,259,260,293],[0,1,259,262,263],[0,1,259,262,784], [0,1,259,292,293],[0,1,259,292,508],[0,1,259,507,508],[0,1,259,507,1029], [0,1,259,781,784],[0,1,259,781,1029],[1,523,524,527,1038],[1,523,524,557,1038], [0,1,523,526,1038],[1,523,526,527,1038],[0,1,523,526,784],[0,1,523,556,1038], [1,523,556,557,1038],[0,1,523,556,772],[0,1,523,771,772],[0,1,523,771,1029], [0,1,523,781,784],[0,1,523,781,1029],[0,2,5,26,284],[2,5,26,284,806], [0,2,5,26,548],[2,5,26,548,806],[0,2,5,263,284],[2,5,263,284,806], [2,5,263,785,806],[0,2,5,516,517],[0,2,5,517,1039],[2,5,516,517,1039], [2,5,516,1038,1039],[0,2,5,527,548],[2,5,527,548,806],[2,5,527,785,806], [0,2,5,527,1039],[2,5,527,1038,1039],[0,2,26,29,287],[2,26,29,287,809], [0,2,26,29,551],[2,26,29,551,809],[0,2,26,284,287],[2,26,284,287,809], [2,26,284,806,809],[0,2,26,548,551],[2,26,548,551,809],[2,26,548,806,809], [0,2,29,253,511],[0,2,29,253,775],[0,2,29,287,511],[0,2,29,551,775], [0,2,35,253,511],[0,2,35,253,775],[0,2,35,293,511],[0,2,35,516,517], [0,2,35,517,1039],[2,35,516,517,1039],[2,35,516,1038,1039],[0,2,35,557,775], [0,2,35,557,1039],[2,35,557,1038,1039],[0,2,260,263,284],[2,260,263,284,806], [2,260,263,785,806],[0,2,260,284,287],[2,260,284,287,809],[2,260,284,806,809], [0,2,260,287,511],[0,2,260,293,511],[2,260,782,785,806],[2,260,782,806,809], [0,2,524,527,548],[2,524,527,548,806],[2,524,527,785,806],[0,2,524,527,1039], [2,524,527,1038,1039],[0,2,524,548,551],[2,524,548,551,809],[2,524,548,806,809], [0,2,524,551,775],[0,2,524,557,775],[0,2,524,557,1039],[2,524,557,1038,1039], [2,524,782,785,806],[2,524,782,806,809],[0,3,4,5,263],[0,3,4,5,516], [0,3,4,516,1038],[0,3,4,262,263],[0,3,4,262,784],[0,3,4,526,1038], [0,3,4,526,784],[0,3,5,26,284],[0,3,5,26,548],[0,3,5,263,284], [0,3,5,516,517],[0,3,5,517,1039],[0,3,5,527,548],[0,3,5,527,1039], [0,3,24,26,284],[0,3,24,26,548],[0,3,24,282,284],[0,3,24,282,804], [0,3,24,546,548],[0,3,24,546,804],[0,3,261,262,263],[0,3,261,262,784], [0,3,261,263,284],[0,3,261,282,284],[0,3,261,282,804],[0,3,261,783,784], [0,3,261,783,804],[0,3,516,517,518],[0,3,516,518,1040],[0,3,517,518,1040], [0,3,517,1039,1040],[0,3,516,1038,1040],[0,3,525,526,1038],[0,3,525,526,784], [0,3,525,527,548],[0,3,525,527,1039],[0,3,525,546,548],[0,3,525,546,804], [0,3,525,783,784],[0,3,525,783,804],[0,3,525,1038,1040],[0,3,525,1039,1040], [0,24,26,29,287],[0,24,26,29,551],[0,24,26,284,287],[0,24,26,548,551], [0,24,27,29,287],[0,24,27,29,551],[0,24,27,285,287],[0,24,27,285,807], [0,24,27,549,551],[0,24,27,549,807],[0,24,282,284,287],[0,24,282,285,287], [0,24,282,285,807],[0,24,282,804,807],[0,24,546,548,551],[0,24,546,549,551], [0,24,546,549,807],[0,24,546,804,807],[0,27,29,253,511],[0,27,29,253,775], [0,27,29,287,511],[0,27,29,551,775],[0,27,246,250,508],[0,27,246,250,772], [0,27,246,253,511],[0,27,246,253,775],[0,27,246,504,508],[0,27,246,504,511], [0,27,246,768,772],[0,27,246,768,775],[0,27,249,250,508],[0,27,249,250,772], [0,27,249,507,508],[0,27,249,507,1029],[0,27,249,771,772],[0,27,249,771,1029], [0,27,285,287,511],[0,27,285,504,508],[0,27,285,504,511],[0,27,285,507,508], [0,27,285,507,1029],[0,27,285,807,1029],[0,27,549,551,775],[0,27,549,768,772], [0,27,549,768,775],[0,27,549,771,772],[0,27,549,771,1029],[0,27,549,807,1029], [0,33,34,35,293],[0,33,34,35,516],[0,33,34,516,1038],[0,33,34,250,508], [0,33,34,250,772],[0,33,34,292,293],[0,33,34,292,508],[0,33,34,556,1038], [0,33,34,556,772],[0,33,35,253,511],[0,33,35,253,775],[0,33,35,293,511], [0,33,35,516,517],[0,33,35,517,1039],[0,33,35,557,775],[0,33,35,557,1039], [0,33,246,250,508],[0,33,246,250,772],[0,33,246,253,511],[0,33,246,253,775], [0,33,246,504,508],[0,33,246,504,511],[0,33,246,768,772],[0,33,246,768,775], [0,33,291,292,293],[0,33,291,292,508],[0,33,291,293,511],[0,33,291,504,508], [0,33,291,504,511],[0,33,516,517,518],[0,33,516,518,1040],[0,33,517,518,1040], [0,33,517,1039,1040],[0,33,516,1038,1040],[0,33,555,556,1038],[0,33,555,556,772], [0,33,555,557,775],[0,33,555,557,1039],[0,33,555,768,772],[0,33,555,768,775], [0,33,555,1038,1040],[0,33,555,1039,1040],[0,258,259,260,263],[258,259,260,263,785], [0,258,259,260,293],[258,259,260,293,815],[258,259,260,782,785],[258,259,260,782,815], [0,258,259,262,263],[258,259,262,263,785],[0,258,259,262,784],[258,259,262,784,785], [0,258,259,292,293],[258,259,292,293,815],[0,258,259,292,508],[258,259,292,508,1030], [258,259,292,814,815],[258,259,292,814,1030],[0,258,259,507,508],[258,259,507,508,1030], [0,258,259,507,1029],[258,259,507,1029,1030],[258,259,781,782,785],[258,259,781,782,815], [0,258,259,781,784],[258,259,781,784,785],[258,259,781,814,815],[258,259,781,814,1030], [0,258,259,781,1029],[258,259,781,1029,1030],[0,258,260,263,284],[258,260,263,284,806], [258,260,263,785,806],[0,258,260,284,287],[258,260,284,287,809],[258,260,284,806,809], [0,258,260,287,511],[258,260,287,511,1033],[258,260,287,809,1033],[0,258,260,293,511], [258,260,293,511,1033],[258,260,293,815,1033],[258,260,782,785,806],[258,260,782,806,809], [258,260,782,809,1033],[258,260,782,815,1033],[0,258,261,262,263],[258,261,262,263,785], [0,258,261,262,784],[258,261,262,784,785],[0,258,261,263,284],[258,261,263,284,806], [258,261,263,785,806],[0,258,261,282,284],[258,261,282,284,806],[0,258,261,282,804], [258,261,282,804,806],[0,258,261,783,784],[258,261,783,784,785],[258,261,783,785,806], [0,258,261,783,804],[258,261,783,804,806],[0,258,282,284,287],[258,282,284,287,809], [258,282,284,806,809],[0,258,282,285,287],[258,282,285,287,809],[0,258,282,285,807], [258,282,285,807,809],[258,282,804,806,809],[0,258,282,804,807],[258,282,804,807,809], [0,258,285,287,511],[258,285,287,511,1033],[258,285,287,809,1033],[0,258,285,504,508], [258,285,504,508,1030],[0,258,285,504,511],[258,285,504,511,1033],[258,285,504,1026,1030], [258,285,504,1026,1033],[0,258,285,507,508],[258,285,507,508,1030],[0,258,285,507,1029], [258,285,507,1029,1030],[258,285,807,809,1033],[258,285,807,1026,1030],[258,285,807,1026,1033], [0,258,285,807,1029],[258,285,807,1029,1030],[0,258,291,292,293],[258,291,292,293,815], [0,258,291,292,508],[258,291,292,508,1030],[258,291,292,814,815],[258,291,292,814,1030], [0,258,291,293,511],[258,291,293,511,1033],[258,291,293,815,1033],[0,258,291,504,508], [258,291,504,508,1030],[0,258,291,504,511],[258,291,504,511,1033],[258,291,504,1026,1030], [258,291,504,1026,1033],[258,291,813,814,815],[258,291,813,814,1030],[258,291,813,815,1033], [258,291,813,1026,1030],[258,291,813,1026,1033],[258,780,781,782,785],[258,780,781,782,815], [0,258,780,781,784],[258,780,781,784,785],[258,780,781,814,815],[258,780,781,814,1030], [0,258,780,781,1029],[258,780,781,1029,1030],[258,780,782,785,806],[258,780,782,806,809], [258,780,782,809,1033],[258,780,782,815,1033],[0,258,780,783,784],[258,780,783,784,785], [258,780,783,785,806],[0,258,780,783,804],[258,780,783,804,806],[258,780,804,806,809], [0,258,780,804,807],[258,780,804,807,809],[258,780,807,809,1033],[258,780,807,1026,1030], [258,780,807,1026,1033],[0,258,780,807,1029],[258,780,807,1029,1030],[258,780,813,814,815], [258,780,813,814,1030],[258,780,813,815,1033],[258,780,813,1026,1030],[258,780,813,1026,1033], [522,523,524,527,785],[522,523,524,527,1038],[522,523,524,557,815],[522,523,524,557,1038], [522,523,524,782,785],[522,523,524,782,815],[522,523,526,527,785],[0,522,523,526,1038], [522,523,526,527,1038],[0,522,523,526,784],[522,523,526,784,785],[522,523,556,557,815], [0,522,523,556,1038],[522,523,556,557,1038],[0,522,523,556,772],[522,523,556,772,1030], [522,523,556,814,815],[522,523,556,814,1030],[0,522,523,771,772],[522,523,771,772,1030], [0,522,523,771,1029],[522,523,771,1029,1030],[522,523,781,782,785],[522,523,781,782,815], [0,522,523,781,784],[522,523,781,784,785],[522,523,781,814,815],[522,523,781,814,1030], [0,522,523,781,1029],[522,523,781,1029,1030],[0,522,524,527,548],[522,524,527,548,806], [522,524,527,785,806],[0,522,524,527,1039],[522,524,527,1038,1039],[0,522,524,548,551], [522,524,548,551,809],[522,524,548,806,809],[0,522,524,551,775],[522,524,551,775,1033], [522,524,551,809,1033],[0,522,524,557,775],[522,524,557,775,1033],[522,524,557,815,1033], [0,522,524,557,1039],[522,524,557,1038,1039],[522,524,782,785,806],[522,524,782,806,809], [522,524,782,809,1033],[522,524,782,815,1033],[522,525,526,527,785],[0,522,525,526,1038], [522,525,526,527,1038],[0,522,525,526,784],[522,525,526,784,785],[0,522,525,527,548], [522,525,527,548,806],[522,525,527,785,806],[0,522,525,527,1039],[522,525,527,1038,1039], [0,522,525,546,548],[522,525,546,548,806],[0,522,525,546,804],[522,525,546,804,806], [0,522,525,783,784],[522,525,783,784,785],[522,525,783,785,806],[0,522,525,783,804], [522,525,783,804,806],[0,522,525,1038,1040],[0,522,525,1039,1040],[522,525,1038,1039,1040], [0,522,546,548,551],[522,546,548,551,809],[522,546,548,806,809],[0,522,546,549,551], [522,546,549,551,809],[0,522,546,549,807],[522,546,549,807,809],[522,546,804,806,809], [0,522,546,804,807],[522,546,804,807,809],[0,522,549,551,775],[522,549,551,775,1033], [522,549,551,809,1033],[0,522,549,768,772],[522,549,768,772,1030],[0,522,549,768,775], [522,549,768,775,1033],[522,549,768,1026,1030],[522,549,768,1026,1033],[0,522,549,771,772], [522,549,771,772,1030],[0,522,549,771,1029],[522,549,771,1029,1030],[522,549,807,809,1033], [522,549,807,1026,1030],[522,549,807,1026,1033],[0,522,549,807,1029],[522,549,807,1029,1030], [522,555,556,557,815],[0,522,555,556,1038],[522,555,556,557,1038],[0,522,555,556,772], [522,555,556,772,1030],[522,555,556,814,815],[522,555,556,814,1030],[0,522,555,557,775], [522,555,557,775,1033],[522,555,557,815,1033],[0,522,555,557,1039],[522,555,557,1038,1039], [0,522,555,768,772],[522,555,768,772,1030],[0,522,555,768,775],[522,555,768,775,1033], [522,555,768,1026,1030],[522,555,768,1026,1033],[522,555,813,814,815],[522,555,813,814,1030], [522,555,813,815,1033],[522,555,813,1026,1030],[522,555,813,1026,1033],[0,522,555,1038,1040], [0,522,555,1039,1040],[522,555,1038,1039,1040],[522,780,781,782,785],[522,780,781,782,815], [0,522,780,781,784],[522,780,781,784,785],[522,780,781,814,815],[522,780,781,814,1030], [0,522,780,781,1029],[522,780,781,1029,1030],[522,780,782,785,806],[522,780,782,806,809], [522,780,782,809,1033],[522,780,782,815,1033],[0,522,780,783,784],[522,780,783,784,785], [522,780,783,785,806],[0,522,780,783,804],[522,780,783,804,806],[522,780,804,806,809], [0,522,780,804,807],[522,780,804,807,809],[522,780,807,809,1033],[522,780,807,1026,1030], [522,780,807,1026,1033],[0,522,780,807,1029],[522,780,807,1029,1030],[522,780,813,814,815], [522,780,813,814,1030],[522,780,813,815,1033],[522,780,813,1026,1030],[522,780,813,1026,1033], [1,2,5,41,299],[2,5,41,299,821],[1,2,5,41,563],[2,5,41,563,821], [1,2,5,263,299],[2,5,263,299,821],[2,5,263,785,821],[1,2,5,527,563], [2,5,527,563,821],[2,5,527,785,821],[1,2,35,253,511],[1,2,35,253,775], [1,2,35,293,511],[1,2,35,557,775],[1,2,38,41,299],[2,38,41,299,821], [1,2,38,41,563],[2,38,41,563,821],[1,2,38,256,514],[1,2,38,256,778], [1,2,38,296,299],[2,38,296,299,821],[1,2,38,296,514],[2,38,296,818,821], [1,2,38,560,563],[2,38,560,563,821],[1,2,38,560,778],[2,38,560,818,821], [1,2,252,253,511],[1,2,252,253,775],[1,2,252,256,514],[1,2,252,256,778], [1,2,252,510,511],[1,2,252,510,514],[1,2,252,774,775],[1,2,252,774,778], [1,2,260,263,299],[2,260,263,299,821],[2,260,263,785,821],[1,2,260,293,511], [1,2,260,296,299],[2,260,296,299,821],[1,2,260,296,514],[2,260,296,818,821], [1,2,260,510,511],[1,2,260,510,514],[2,260,782,785,821],[2,260,782,818,821], [1,2,524,527,563],[2,524,527,563,821],[2,524,527,785,821],[1,2,524,557,775], [1,2,524,560,563],[2,524,560,563,821],[1,2,524,560,778],[2,524,560,818,821], [1,2,524,774,775],[1,2,524,774,778],[2,524,782,785,821],[2,524,782,818,821], [1,4,5,41,299],[1,4,5,41,563],[1,4,5,263,299],[1,4,5,527,563], [1,4,39,41,299],[1,4,39,41,563],[1,4,39,297,299],[1,4,39,297,819], [1,4,39,561,563],[1,4,39,561,819],[1,4,262,263,299],[1,4,262,297,299], [1,4,262,297,819],[1,4,262,784,819],[1,4,526,527,563],[1,4,526,561,563], [1,4,526,561,819],[1,4,526,784,819],[1,34,35,253,511],[1,34,35,253,775], [1,34,35,293,511],[1,34,35,557,775],[1,34,247,250,508],[1,34,247,250,772], [1,34,247,253,511],[1,34,247,253,775],[1,34,247,505,508],[1,34,247,505,511], [1,34,247,769,772],[1,34,247,769,775],[1,34,292,293,511],[1,34,292,505,508], [1,34,292,505,511],[1,34,556,557,775],[1,34,556,769,772],[1,34,556,769,775], [1,36,38,41,299],[1,36,38,41,563],[1,36,38,256,514],[1,36,38,256,778], 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[282,285,286,808,809],[24,282,285,807,808],[282,285,807,808,809],[282,804,805,806,809], [24,282,804,805,808],[282,804,805,808,809],[24,282,804,805,1029],[282,804,805,1029,1030], [24,282,804,807,808],[282,804,807,808,809],[546,547,548,551,809],[546,547,548,551,1038], [546,547,548,806,809],[546,547,550,551,809],[24,546,547,550,1038],[546,547,550,551,1038], [24,546,547,550,808],[546,547,550,808,809],[24,546,547,771,772],[546,547,771,772,1030], [24,546,547,771,1029],[546,547,771,1029,1030],[546,547,805,806,809],[24,546,547,805,808], [546,547,805,808,809],[24,546,547,805,1029],[546,547,805,1029,1030],[24,546,548,551,1039], [546,548,551,1038,1039],[546,549,550,551,809],[24,546,549,550,1038],[546,549,550,551,1038], [24,546,549,550,808],[546,549,550,808,809],[24,546,549,551,1039],[546,549,551,1038,1039], [24,546,549,807,808],[546,549,807,808,809],[24,546,549,1038,1040],[24,546,549,1039,1040], [546,549,1038,1039,1040],[546,804,805,806,809],[24,546,804,805,808],[546,804,805,808,809], [24,546,804,805,1029],[546,804,805,1029,1030],[24,546,804,807,808],[546,804,807,808,809], [27,28,29,32,290],[27,28,29,32,516],[28,29,32,516,1038],[28,29,32,554,1038], [27,28,29,287,290],[28,29,551,554,1038],[27,28,31,32,290],[27,28,31,32,516], [27,28,31,516,1038],[28,31,32,516,1038],[28,31,32,554,1038],[27,28,31,250,508], [27,28,31,250,772],[27,28,31,289,290],[27,28,31,289,508],[27,28,31,553,1038], [28,31,553,554,1038],[27,28,31,553,772],[27,28,249,250,508],[27,28,249,250,772], [27,28,249,507,508],[27,28,249,507,1029],[27,28,249,771,772],[27,28,249,771,1029], [27,28,286,287,290],[27,28,286,289,290],[27,28,286,289,508],[27,28,286,507,508], [27,28,286,507,1029],[27,28,286,808,1029],[28,550,551,554,1038],[27,28,550,553,1038], [28,550,553,554,1038],[27,28,550,553,772],[27,28,550,771,772],[27,28,550,771,1029], [27,28,550,808,1029],[27,29,32,253,511],[27,29,32,253,775],[27,29,32,290,511], [27,29,32,516,517],[27,29,32,517,1039],[29,32,516,517,1039],[29,32,516,1038,1039], [27,29,32,554,775],[27,29,32,554,1039],[29,32,554,1038,1039],[27,29,287,290,511], [27,29,551,554,775],[27,29,551,554,1039],[29,551,554,1038,1039],[27,30,31,32,290], [27,30,31,32,516],[27,30,31,516,1038],[27,30,31,250,508],[27,30,31,250,772], [27,30,31,289,290],[27,30,31,289,508],[27,30,31,553,1038],[27,30,31,553,772], [27,30,32,253,511],[27,30,32,253,775],[27,30,32,290,511],[27,30,32,516,517], [27,30,32,517,1039],[27,30,32,554,775],[27,30,32,554,1039],[27,30,246,250,508], [27,30,246,250,772],[27,30,246,253,511],[27,30,246,253,775],[27,30,246,504,508], [27,30,246,504,511],[27,30,246,768,772],[27,30,246,768,775],[27,30,288,289,290], [27,30,288,289,508],[27,30,288,290,511],[27,30,288,504,508],[27,30,288,504,511], [27,30,516,517,518],[27,30,516,518,1040],[27,30,517,518,1040],[27,30,517,1039,1040], [27,30,516,1038,1040],[27,30,552,553,1038],[27,30,552,553,772],[27,30,552,554,775], [27,30,552,554,1039],[27,30,552,768,772],[27,30,552,768,775],[27,30,552,1038,1040], [27,30,552,1039,1040],[27,285,286,287,290],[285,286,287,290,812],[285,286,287,809,812], [27,285,286,289,290],[285,286,289,290,812],[27,285,286,289,508],[285,286,289,508,1030], [285,286,289,811,812],[285,286,289,811,1030],[27,285,286,507,508],[285,286,507,508,1030], [27,285,286,507,1029],[285,286,507,1029,1030],[285,286,808,809,812],[285,286,808,811,812], [285,286,808,811,1030],[27,285,286,808,1029],[285,286,808,1029,1030],[27,285,287,290,511], [285,287,290,511,1033],[285,287,290,812,1033],[285,287,809,812,1033],[27,285,288,289,290], [285,288,289,290,812],[27,285,288,289,508],[285,288,289,508,1030],[285,288,289,811,812], [285,288,289,811,1030],[27,285,288,290,511],[285,288,290,511,1033],[285,288,290,812,1033], [27,285,288,504,508],[285,288,504,508,1030],[27,285,288,504,511],[285,288,504,511,1033], [285,288,504,1026,1030],[285,288,504,1026,1033],[285,288,810,811,812],[285,288,810,811,1030], [285,288,810,812,1033],[285,288,810,1026,1030],[285,288,810,1026,1033],[285,807,808,809,812], [285,807,808,811,812],[285,807,808,811,1030],[27,285,807,808,1029],[285,807,808,1029,1030], [285,807,809,812,1033],[285,807,810,811,812],[285,807,810,811,1030],[285,807,810,812,1033], [285,807,810,1026,1030],[285,807,810,1026,1033],[549,550,551,554,812],[549,550,551,554,1038], [549,550,551,809,812],[549,550,553,554,812],[27,549,550,553,1038],[549,550,553,554,1038], [27,549,550,553,772],[549,550,553,772,1030],[549,550,553,811,812],[549,550,553,811,1030], [27,549,550,771,772],[549,550,771,772,1030],[27,549,550,771,1029],[549,550,771,1029,1030], [549,550,808,809,812],[549,550,808,811,812],[549,550,808,811,1030],[27,549,550,808,1029], [549,550,808,1029,1030],[27,549,551,554,775],[549,551,554,775,1033],[549,551,554,812,1033], [27,549,551,554,1039],[549,551,554,1038,1039],[549,551,809,812,1033],[549,552,553,554,812], [27,549,552,553,1038],[549,552,553,554,1038],[27,549,552,553,772],[549,552,553,772,1030], [549,552,553,811,812],[549,552,553,811,1030],[27,549,552,554,775],[549,552,554,775,1033], [549,552,554,812,1033],[27,549,552,554,1039],[549,552,554,1038,1039],[27,549,552,768,772], [549,552,768,772,1030],[27,549,552,768,775],[549,552,768,775,1033],[549,552,768,1026,1030], [549,552,768,1026,1033],[549,552,810,811,812],[549,552,810,811,1030],[549,552,810,812,1033], [549,552,810,1026,1030],[549,552,810,1026,1033],[27,549,552,1038,1040],[27,549,552,1039,1040], [549,552,1038,1039,1040],[549,807,808,809,812],[549,807,808,811,812],[549,807,808,811,1030], [27,549,807,808,1029],[549,807,808,1029,1030],[549,807,809,812,1033],[549,807,810,811,812], [549,807,810,811,1030],[549,807,810,812,1033],[549,807,810,1026,1030],[549,807,810,1026,1033], [29,32,252,253,511],[29,32,252,253,775],[29,32,252,256,514],[29,32,252,256,778], [29,32,252,510,511],[29,32,252,510,514],[29,32,252,774,775],[29,32,252,774,778], [29,32,254,256,514],[29,32,254,256,778],[29,32,254,512,514],[29,32,254,512,1034], [29,32,254,776,778],[29,32,254,776,1034],[29,32,290,510,511],[29,32,290,510,514], [29,32,290,512,514],[29,32,290,512,1034],[29,32,290,812,1034],[29,32,554,774,775], [29,32,554,774,778],[29,32,554,776,778],[29,32,554,776,1034],[29,32,554,812,1034], [29,287,290,510,511],[287,290,510,511,1033],[29,287,290,510,514],[287,290,510,514,1036], [287,290,510,1032,1033],[287,290,510,1032,1036],[29,287,290,512,514],[287,290,512,514,1036], [29,287,290,512,1034],[287,290,512,1034,1036],[287,290,812,1032,1033],[287,290,812,1032,1036], [29,287,290,812,1034],[287,290,812,1034,1036],[287,809,812,1032,1033],[287,809,812,1032,1036], [29,287,809,812,1034],[287,809,812,1034,1036],[29,551,554,774,775],[551,554,774,775,1033], [29,551,554,774,778],[551,554,774,778,1036],[551,554,774,1032,1033],[551,554,774,1032,1036], [29,551,554,776,778],[551,554,776,778,1036],[29,551,554,776,1034],[551,554,776,1034,1036], [551,554,812,1032,1033],[551,554,812,1032,1036],[29,551,554,812,1034],[551,554,812,1034,1036], [551,809,812,1032,1033],[551,809,812,1032,1036],[29,551,809,812,1034],[551,809,812,1034,1036], [30,31,32,35,293],[30,31,32,35,516],[31,32,35,516,1038],[31,32,35,557,1038], [30,31,32,290,293],[31,32,554,557,1038],[30,31,34,35,293],[30,31,34,35,516], [30,31,34,516,1038],[31,34,35,516,1038],[31,34,35,557,1038],[30,31,34,292,293], [30,31,34,292,814],[30,31,34,556,1038],[31,34,556,557,1038],[30,31,34,556,814], [30,31,248,250,508],[30,31,248,250,772],[30,31,248,506,508],[30,31,248,506,1028], [30,31,248,770,772],[30,31,248,770,1028],[30,31,289,290,293],[30,31,289,292,293], [30,31,289,292,814],[30,31,289,506,508],[30,31,289,506,1028],[30,31,289,811,814], [30,31,289,811,1028],[31,553,554,557,1038],[30,31,553,556,1038],[31,553,556,557,1038], [30,31,553,556,814],[30,31,553,770,772],[30,31,553,770,1028],[30,31,553,811,814], [30,31,553,811,1028],[30,32,35,149,407],[32,35,149,407,929],[30,32,35,149,671], [32,35,149,671,929],[30,32,35,293,407],[32,35,293,407,929],[32,35,293,815,929], [30,32,35,516,517],[30,32,35,517,1039],[32,35,516,517,1039],[32,35,516,1038,1039], [30,32,35,557,671],[32,35,557,671,929],[32,35,557,815,929],[30,32,35,557,1039], [32,35,557,1038,1039],[30,32,145,146,404],[30,32,145,146,668],[30,32,145,253,511], [30,32,145,253,775],[30,32,145,403,404],[30,32,145,403,511],[30,32,145,667,668], [30,32,145,667,775],[30,32,146,149,407],[32,146,149,407,929],[30,32,146,149,671], [32,146,149,671,929],[30,32,146,404,407],[32,146,404,407,929],[32,146,404,926,929], [30,32,146,668,671],[32,146,668,671,929],[32,146,668,926,929],[30,32,290,293,407], [32,290,293,407,929],[32,290,293,815,929],[30,32,290,403,404],[30,32,290,403,511], [30,32,290,404,407],[32,290,404,407,929],[32,290,404,926,929],[32,290,812,815,929], [32,290,812,926,929],[30,32,554,557,671],[32,554,557,671,929],[32,554,557,815,929], [30,32,554,557,1039],[32,554,557,1038,1039],[30,32,554,667,668],[30,32,554,667,775], [30,32,554,668,671],[32,554,668,671,929],[32,554,668,926,929],[32,554,812,815,929], [32,554,812,926,929],[30,33,34,35,293],[30,33,34,35,516],[30,33,34,516,1038], [30,33,34,292,293],[30,33,34,292,814],[30,33,34,556,1038],[30,33,34,556,814], [30,33,35,149,407],[30,33,35,149,671],[30,33,35,293,407],[30,33,35,516,517], [30,33,35,517,1039],[30,33,35,557,671],[30,33,35,557,1039],[30,33,148,149,407], [30,33,148,149,671],[30,33,148,406,407],[30,33,148,406,928],[30,33,148,670,671], [30,33,148,670,928],[30,33,291,292,293],[30,33,291,292,814],[30,33,291,293,407], [30,33,291,406,407],[30,33,291,406,928],[30,33,291,813,814],[30,33,291,813,928], [30,33,516,517,518],[30,33,516,518,1040],[30,33,517,518,1040],[30,33,517,1039,1040], [30,33,516,1038,1040],[30,33,555,556,1038],[30,33,555,556,814],[30,33,555,557,671], [30,33,555,557,1039],[30,33,555,670,671],[30,33,555,670,928],[30,33,555,813,814], [30,33,555,813,928],[30,33,555,1038,1040],[30,33,555,1039,1040],[30,145,146,149,407], [30,145,146,149,671],[30,145,146,404,407],[30,145,146,668,671],[30,145,148,149,407], [30,145,148,149,671],[30,145,148,406,407],[30,145,148,406,928],[30,145,148,670,671], [30,145,148,670,928],[30,145,246,250,508],[30,145,246,250,772],[30,145,246,253,511], [30,145,246,253,775],[30,145,246,504,508],[30,145,246,504,511],[30,145,246,768,772], [30,145,246,768,775],[30,145,248,250,508],[30,145,248,250,772],[30,145,248,506,508], [30,145,248,506,1028],[30,145,248,770,772],[30,145,248,770,1028],[30,145,403,404,407], [30,145,403,406,407],[30,145,403,406,928],[30,145,403,504,508],[30,145,403,504,511], [30,145,403,506,508],[30,145,403,506,1028],[30,145,403,925,928],[30,145,403,925,1028], [30,145,667,668,671],[30,145,667,670,671],[30,145,667,670,928],[30,145,667,768,772], [30,145,667,768,775],[30,145,667,770,772],[30,145,667,770,1028],[30,145,667,925,928], [30,145,667,925,1028],[30,288,289,290,293],[288,289,290,293,815],[288,289,290,812,815], [30,288,289,292,293],[288,289,292,293,815],[30,288,289,292,814],[288,289,292,814,815], 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