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On this page are computer-accessible forms for the graph C4[ 108, 17 ] = UG(ATD[108,14]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {44, 46} under the group generated by the following permutations:

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

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

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