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On this page are computer-accessible forms for the graph C4[ 96, 25 ] = PL(CSI(Octahedron[3^4],4)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {47, 63} under the group generated by the following permutations:

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

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

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