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On this page are computer-accessible forms for the graph C4[ 108, 19 ] = UG(ATD[108,24]).

(I) Following is a form readable by MAGMA:

g:=Graph<108|{ {60, 62}, {52, 55}, {84, 87}, {25, 29}, {99, 103}, {83, 87}, {1, 4}, {59, 62}, {1, 7}, {2, 4}, {26, 29}, {5, 13}, {54, 62}, {66, 74}, {1, 8}, {4, 13}, {3, 10}, {64, 74}, {84, 94}, {1, 10}, {99, 104}, {84, 95}, {54, 61}, {69, 78}, {81, 90}, {38, 42}, {52, 57}, {67, 78}, {68, 74}, {16, 31}, {38, 41}, {68, 75}, {37, 53}, {40, 56}, {7, 22}, {13, 28}, {11, 25}, {42, 56}, {39, 53}, {14, 28}, {10, 25}, {6, 19}, {79, 90}, {7, 17}, {41, 63}, {4, 19}, {40, 63}, {7, 16}, {71, 95}, {75, 83}, {43, 50}, {77, 84}, {71, 93}, {73, 83}, {8, 19}, {10, 17}, {70, 93}, {47, 51}, {77, 81}, {8, 21}, {12, 17}, {76, 81}, {44, 50}, {47, 49}, {9, 22}, {77, 82}, {2, 34}, {21, 53}, {14, 46}, {14, 47}, {28, 61}, {27, 58}, {21, 52}, {65, 96}, {66, 96}, {25, 58}, {30, 61}, {65, 101}, {64, 101}, {2, 36}, {69, 99}, {31, 56}, {69, 98}, {71, 96}, {31, 55}, {78, 103}, {76, 103}, {9, 37}, {29, 49}, {8, 37}, {28, 49}, {15, 34}, {13, 34}, {16, 32}, {26, 42}, {27, 42}, {89, 107}, {89, 106}, {24, 44}, {82, 102}, {24, 45}, {22, 32}, {93, 107}, {80, 102}, {82, 100}, {81, 102}, {92, 107}, {5, 61}, {24, 32}, {22, 46}, {19, 43}, {16, 40}, {3, 58}, {23, 46}, {5, 63}, {18, 40}, {85, 104}, {86, 104}, {3, 60}, {20, 43}, {33, 97}, {12, 77}, {32, 97}, {2, 64}, {12, 78}, {3, 64}, {30, 91}, {14, 72}, {29, 91}, {15, 72}, {41, 96}, {44, 101}, {26, 80}, {44, 102}, {45, 97}, {45, 99}, {11, 91}, {23, 71}, {52, 100}, {57, 105}, {6, 87}, {18, 67}, {9, 88}, {56, 105}, {17, 67}, {20, 70}, {54, 100}, {6, 85}, {21, 70}, {12, 95}, {9, 90}, {11, 95}, {54, 98}, {62, 106}, {26, 79}, {63, 106}, {11, 93}, {31, 73}, {23, 65}, {53, 98}, {6, 94}, {60, 100}, {24, 65}, {60, 101}, {5, 94}, {50, 108}, {23, 72}, {51, 108}, {49, 80}, {39, 69}, {50, 80}, {59, 89}, {39, 68}, {59, 88}, {38, 66}, {47, 75}, {55, 83}, {39, 66}, {55, 82}, {15, 105}, {48, 86}, {48, 87}, {15, 103}, {33, 73}, {48, 88}, {38, 79}, {37, 79}, {58, 86}, {36, 73}, {59, 86}, {34, 76}, {36, 74}, {35, 76}, {51, 67}, {57, 72}, {27, 105}, {27, 104}, {46, 88}, {41, 94}, {51, 68}, {18, 106}, {45, 85}, {36, 92}, {20, 108}, {35, 90}, {33, 91}, {35, 89}, {48, 75}, {30, 98}, {33, 92}, {18, 108}, {43, 85}, {20, 107}, {35, 92}, {30, 97}, {57, 70} }>;

(II) A more general form is to represent the graph as the orbit of {60, 62} under the group generated by the following permutations:

a: (2, 37)(3, 22)(4, 8)(5, 70)(6, 43)(7, 10)(9, 64)(11, 40)(12, 67)(13, 21)(14, 100)(15, 98)(16, 25)(18, 95)(20, 94)(23, 62)(24, 86)(26, 73)(27, 97)(28, 52)(29, 31)(30, 105)(32, 58)(33, 42)(34, 53)(35, 66)(36, 79)(38, 92)(39, 76)(41, 107)(44, 48)(45, 104)(46, 60)(47, 82)(49, 55)(50, 87)(51, 77)(54, 72)(56, 91)(57, 61)(59, 65)(63, 93)(68, 81)(69, 103)(71, 106)(74, 90)(75, 102)(80, 83)(84, 108)(88, 101)(89, 96)
b: (2, 3)(4, 10)(5, 11)(6, 12)(7, 8)(13, 25)(14, 26)(15, 27)(16, 21)(17, 19)(18, 20)(22, 37)(23, 38)(24, 39)(28, 29)(31, 52)(32, 53)(33, 54)(34, 58)(35, 59)(36, 60)(40, 70)(41, 71)(42, 72)(43, 67)(44, 68)(45, 69)(46, 79)(47, 80)(48, 81)(50, 51)(56, 57)(61, 91)(62, 92)(63, 93)(65, 66)(73, 100)(74, 101)(75, 102)(76, 86)(77, 87)(78, 85)(82, 83)(88, 90)(94, 95)(97, 98)(103, 104)(106, 107)
c: (1, 4, 13, 28, 49, 80, 102, 82, 55, 31, 16, 7)(2, 5, 14, 29, 50, 81, 100, 83, 56, 32, 17, 8)(3, 6, 15, 30, 51, 79, 101, 84, 57, 33, 18, 9)(10, 19, 34, 61, 47, 26, 44, 77, 52, 73, 40, 22)(11, 20, 35, 62, 48, 27, 45, 78, 53, 74, 41, 23)(12, 21, 36, 63, 46, 25, 43, 76, 54, 75, 42, 24)(37, 64, 94, 72, 91, 108, 90, 60, 87, 105, 97, 67)(38, 65, 95, 70, 92, 106, 88, 58, 85, 103, 98, 68)(39, 66, 96, 71, 93, 107, 89, 59, 86, 104, 99, 69)
d: (1, 2, 92, 93, 23, 22)(3, 76, 91, 57, 24, 37)(4, 36, 107, 71, 46, 7)(5, 83, 108, 41, 48, 67)(6, 68, 106, 84, 47, 40)(8, 64, 35, 11, 72, 32)(9, 10, 34, 33, 70, 65)(12, 28, 31, 43, 66, 59)(13, 73, 20, 96, 88, 17)(14, 16, 19, 74, 89, 95)(15, 97, 21, 101, 90, 25)(18, 94, 75)(26, 27, 99, 98, 100, 102)(29, 105, 45, 53, 60, 81)(30, 52, 44, 79, 58, 103)(38, 86, 78, 61, 55, 50)(39, 62, 77, 49, 56, 85)(42, 104, 69, 54, 82, 80)(51, 63, 87)

(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.

**************

&Graph
C4[ 108, 19 ]
108
-1 4 7 8 10
-2 34 36 4 64
-3 58 60 64 10
-4 1 2 13 19
-5 13 61 94 63
-6 94 19 85 87
-7 22 1 16 17
-8 1 37 19 21
-9 22 88 90 37
-10 1 3 25 17
-11 25 91 93 95
-12 77 78 17 95
-13 34 4 5 28
-14 46 47 28 72
-15 34 103 72 105
-16 7 40 31 32
-17 12 67 7 10
-18 67 40 106 108
-19 4 6 8 43
-20 70 107 108 43
-21 70 8 52 53
-22 46 7 9 32
-23 46 71 72 65
-24 44 45 32 65
-25 11 58 29 10
-26 79 80 29 42
-27 58 104 105 42
-28 13 14 49 61
-29 25 91 26 49
-30 91 61 97 98
-31 55 56 16 73
-32 22 24 16 97
-33 91 92 73 97
-34 2 13 15 76
-35 89 90 92 76
-36 2 92 73 74
-37 79 8 9 53
-38 66 79 41 42
-39 66 68 69 53
-40 56 16 18 63
-41 38 94 63 96
-42 56 26 27 38
-43 50 19 85 20
-44 24 101 102 50
-45 99 24 85 97
-46 22 88 23 14
-47 14 49 51 75
-48 88 75 86 87
-49 47 80 28 29
-50 44 80 108 43
-51 67 68 47 108
-52 55 100 57 21
-53 37 39 21 98
-54 100 61 62 98
-55 82 83 52 31
-56 105 40 31 42
-57 70 72 105 52
-58 3 25 27 86
-59 88 89 62 86
-60 100 101 3 62
-61 5 28 30 54
-62 59 60 106 54
-63 5 40 106 41
-64 2 101 3 74
-65 23 24 101 96
-66 38 39 74 96
-67 78 17 18 51
-68 39 51 74 75
-69 99 78 39 98
-70 57 93 20 21
-71 23 93 95 96
-72 23 57 14 15
-73 33 36 83 31
-74 66 68 36 64
-75 68 47 48 83
-76 34 35 81 103
-77 12 81 82 84
-78 12 67 69 103
-79 90 26 37 38
-80 102 26 49 50
-81 77 90 102 76
-82 55 77 100 102
-83 55 73 75 87
-84 77 94 95 87
-85 45 104 6 43
-86 58 48 59 104
-87 48 6 83 84
-88 46 48 59 9
-89 35 59 106 107
-90 35 79 81 9
-91 11 33 29 30
-92 33 35 36 107
-93 11 70 71 107
-94 5 6 84 41
-95 11 12 71 84
-96 66 71 41 65
-97 33 45 30 32
-98 69 30 53 54
-99 45 69 103 104
-100 60 82 52 54
-101 44 60 64 65
-102 44 80 81 82
-103 99 78 15 76
-104 99 27 85 86
-105 56 57 15 27
-106 89 18 62 63
-107 89 92 93 20
-108 50 18 51 20
0

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