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On this page are computer-accessible forms for the graph C4[ 96, 30 ] = PL(Curtain_12(1,6,2,7,8),[4^12,8^6]).

(I) Following is a form readable by MAGMA:

g:=Graph<96|{ {34, 51}, {33, 52}, {45, 56}, {46, 56}, {34, 53}, {43, 51}, {44, 53}, {32, 58}, {47, 53}, {37, 62}, {47, 52}, {41, 53}, {42, 52}, {38, 57}, {18, 50}, {28, 60}, {18, 51}, {27, 57}, {28, 62}, {25, 58}, {30, 56}, {27, 60}, {20, 60}, {23, 63}, {25, 49}, {21, 60}, {26, 51}, {30, 52}, {17, 58}, {19, 56}, {17, 61}, {24, 54}, {21, 58}, {29, 50}, {1, 49}, {14, 62}, {8, 57}, {10, 59}, {5, 55}, {5, 54}, {12, 63}, {9, 61}, {13, 57}, {2, 55}, {7, 50}, {4, 49}, {3, 54}, {1, 55}, {9, 62}, {10, 61}, {3, 59}, {13, 54}, {11, 55}, {2, 63}, {6, 59}, {1, 63}, {12, 50}, {2, 61}, {14, 49}, {4, 59}, {6, 70}, {11, 75}, {17, 80}, {23, 86}, {19, 82}, {31, 94}, {33, 96}, {3, 65}, {11, 73}, {14, 77}, {23, 84}, {29, 94}, {5, 65}, {22, 82}, {36, 96}, {7, 66}, {18, 87}, {28, 89}, {4, 66}, {30, 88}, {39, 96}, {10, 66}, {13, 69}, {29, 85}, {9, 64}, {24, 81}, {25, 80}, {20, 94}, {1, 74}, {23, 92}, {19, 88}, {16, 92}, {21, 89}, {26, 86}, {27, 87}, {8, 69}, {15, 66}, {11, 70}, {26, 87}, {4, 74}, {8, 70}, {5, 75}, {6, 73}, {15, 95}, {24, 72}, {30, 78}, {31, 79}, {17, 64}, {10, 88}, {22, 68}, {9, 90}, {15, 92}, {8, 92}, {14, 90}, {24, 76}, {25, 77}, {29, 73}, {7, 81}, {16, 70}, {19, 68}, {20, 67}, {31, 72}, {3, 91}, {16, 72}, {12, 84}, {7, 95}, {27, 67}, {28, 68}, {31, 71}, {15, 86}, {2, 88}, {18, 73}, {21, 78}, {26, 65}, {13, 81}, {22, 74}, {20, 72}, {16, 76}, {6, 91}, {12, 81}, {35, 67}, {47, 79}, {45, 77}, {37, 68}, {38, 71}, {37, 71}, {44, 79}, {48, 83}, {46, 77}, {36, 64}, {48, 85}, {45, 75}, {32, 71}, {43, 76}, {39, 64}, {38, 79}, {42, 67}, {40, 65}, {33, 74}, {41, 69}, {48, 93}, {32, 78}, {34, 76}, {33, 78}, {36, 75}, {35, 83}, {42, 90}, {41, 89}, {35, 82}, {38, 87}, {45, 95}, {35, 80}, {39, 84}, {46, 91}, {48, 69}, {47, 90}, {22, 96}, {43, 93}, {40, 94}, {37, 93}, {43, 83}, {42, 83}, {46, 84}, {34, 89}, {36, 95}, {39, 91}, {44, 80}, {41, 85}, {32, 93}, {40, 85}, {40, 86}, {44, 82} }>;

(II) A more general form is to represent the graph as the orbit of {34, 51} under the group generated by the following permutations:

a: (3, 6)(5, 11)(7, 15)(8, 13)(12, 23)(16, 24)(18, 26)(29, 40)(50, 86)(54, 70)(65, 73)(81, 92)
b: (2, 4)(3, 9)(5, 14)(6, 17)(7, 19)(8, 32, 16, 21)(11, 25)(12, 22)(13, 37, 24, 28)(15, 30)(18, 44, 29, 35)(20, 27, 38, 31)(23, 33)(26, 47, 40, 42)(34, 41, 48, 43)(36, 46)(49, 55)(50, 82)(51, 53, 85, 83)(52, 86)(54, 62)(56, 95)(57, 71, 72, 60)(58, 70)(59, 61)(63, 74)(64, 91)(65, 90)(66, 88)(67, 87, 79, 94)(68, 81)(69, 93, 76, 89)(73, 80)(75, 77)(78, 92)(84, 96)
c: (1, 2)(4, 10)(9, 14)(17, 25)(19, 22)(30, 33)(36, 45)(39, 46)(49, 61)(56, 96)(64, 77)(74, 88)
d: (9, 17)(14, 25)(19, 30)(21, 28)(22, 33)(32, 37)(35, 42)(44, 47)(52, 82)(58, 62)(68, 78)(80, 90)
e: (20, 31)(21, 32)(27, 38)(28, 37)(34, 43)(35, 44)(41, 48)(42, 47)(53, 83)(60, 71)(67, 79)(89, 93)
f: (9, 19)(14, 22)(17, 30)(25, 33)(35, 42)(36, 45)(39, 46)(44, 47)(49, 74)(52, 80)(56, 64)(58, 78)(61, 88)(62, 68)(77, 96)(82, 90)
g: (1, 3)(2, 6)(4, 5)(7, 45)(8, 17, 16, 9)(10, 11)(12, 46)(13, 25, 24, 14)(15, 36)(18, 30, 29, 19)(20, 28, 27, 21)(22, 26, 33, 40)(23, 39)(31, 37, 38, 32)(34, 42, 41, 35)(43, 47, 48, 44)(49, 54)(50, 56)(51, 52, 85, 82)(53, 83)(55, 59)(57, 58, 72, 62)(61, 70)(63, 91)(64, 92)(65, 74)(66, 75)(67, 89)(68, 87, 78, 94)(69, 80, 76, 90)(73, 88)(77, 81)(79, 93)(86, 96)
h: (7, 15)(8, 29, 16, 18)(12, 23)(13, 40, 24, 26)(19, 30)(20, 34, 38, 48)(21, 44, 32, 35)(22, 33)(27, 41, 31, 43)(28, 47, 37, 42)(50, 92)(51, 57, 85, 72)(52, 68)(53, 71, 83, 60)(54, 65)(58, 80)(62, 90)(67, 89, 79, 93)(69, 94, 76, 87)(70, 73)(78, 82)(81, 86)
m: (7, 15)(8, 18)(12, 23)(13, 26)(16, 29)(24, 40)(34, 41)(43, 48)(50, 92)(51, 69)(54, 65)(57, 87)(70, 73)(72, 94)(76, 85)(81, 86)
n1: (3, 7)(5, 12)(6, 15)(11, 23)(18, 26)(29, 40)(36, 39)(45, 46)(50, 65)(54, 81)(55, 63)(59, 66)(70, 92)(73, 86)(75, 84)(91, 95)
a1: (19, 30)(21, 35)(22, 33)(28, 42)(32, 44)(34, 43)(37, 47)(41, 48)(52, 68)(53, 93)(58, 80)(60, 67)(62, 90)(71, 79)(78, 82)(83, 89)

(III) Last is Groups&Graphs. Copy everything between (not including) the lines of asterisks into a plain text file and save it as "graph.txt". Then launch G&G (Groups&Graphs) and select Read Text from the File menu.

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&Graph
C4[ 96, 30 ]
96
-1 55 49 63 74
-2 55 88 61 63
-3 91 59 54 65
-4 66 59 49 74
-5 55 75 54 65
-6 91 59 70 73
-7 66 81 50 95
-8 57 69 70 92
-9 90 61 62 64
-10 66 88 59 61
-11 55 70 73 75
-12 81 50 84 63
-13 57 69 81 54
-14 77 90 49 62
-15 66 92 95 86
-16 70 92 72 76
-17 58 80 61 64
-18 50 51 73 87
-19 88 56 68 82
-20 67 60 72 94
-21 78 89 58 60
-22 68 82 74 96
-23 92 84 63 86
-24 81 72 54 76
-25 77 58 80 49
-26 51 86 65 87
-27 67 57 60 87
-28 89 68 60 62
-29 50 94 73 85
-30 88 56 78 52
-31 79 71 72 94
-32 78 58 71 93
-33 78 52 74 96
-34 89 51 53 76
-35 67 80 82 83
-36 95 96 64 75
-37 68 71 93 62
-38 57 79 71 87
-39 91 84 96 64
-40 94 85 86 65
-41 89 69 85 53
-42 67 90 83 52
-43 93 83 51 76
-44 79 80 82 53
-45 77 56 95 75
-46 77 56 91 84
-47 79 90 52 53
-48 69 93 83 85
-49 1 14 25 4
-50 12 7 18 29
-51 34 26 18 43
-52 33 47 30 42
-53 44 34 47 41
-54 13 24 3 5
-55 11 1 2 5
-56 45 46 19 30
-57 13 27 38 8
-58 25 17 21 32
-59 3 4 6 10
-60 27 28 20 21
-61 2 17 9 10
-62 14 37 28 9
-63 1 12 23 2
-64 36 17 39 9
-65 3 26 5 40
-66 4 15 7 10
-67 35 27 20 42
-68 22 37 28 19
-69 13 48 8 41
-70 11 16 6 8
-71 37 38 31 32
-72 24 16 20 31
-73 11 6 18 29
-74 22 33 1 4
-75 11 45 36 5
-76 34 24 16 43
-77 45 46 14 25
-78 33 30 21 32
-79 44 47 38 31
-80 44 35 25 17
-81 12 13 24 7
-82 22 44 35 19
-83 35 48 42 43
-84 12 23 46 39
-85 48 29 40 41
-86 23 15 26 40
-87 26 27 38 18
-88 2 19 30 10
-89 34 28 41 21
-90 14 47 9 42
-91 46 3 6 39
-92 23 15 16 8
-93 37 48 32 43
-94 29 40 20 31
-95 45 36 15 7
-96 22 33 36 39
0

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