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On this page are computer-accessible forms for the graph C4[ 96, 39 ] = UG(ATD[96,55]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {38, 39} under the group generated by the following permutations:

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

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