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On this page are computer-accessible forms for the graph C4[ 108, 15 ] = UG(ATD[108,1]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {101, 103} under the group generated by the following permutations:

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

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

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