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On this page are computer-accessible forms for the graph C4[ 96, 37 ] = UG(ATD[96,13]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {6, 7} under the group generated by the following permutations:

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

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

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