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On this page are computer-accessible forms for the graph C4[ 96, 47 ] = PL(CS(R_6(5,4)[6^4],0)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {44, 60} under the group generated by the following permutations:

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

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

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