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On this page are computer-accessible forms for the graph C4[ 96, 14 ] = PX(6,4).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {16, 31} under the group generated by the following permutations:

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

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

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