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On this page are computer-accessible forms for the graph C4[ 110, 7 ] = BGCG(MSY(5,11,5,0);K1;1).

(I) Following is a form readable by MAGMA:

g:=Graph<110|{ {50, 58}, {54, 62}, {49, 58}, {53, 62}, {43, 56}, {46, 61}, {42, 63}, {44, 57}, {32, 56}, {34, 57}, {37, 57}, {35, 61}, {34, 61}, {38, 57}, {30, 62}, {31, 58}, {25, 63}, {25, 62}, {31, 56}, {21, 63}, {16, 61}, {19, 60}, {23, 56}, {12, 60}, {13, 60}, {8, 59}, {9, 60}, {14, 59}, {6, 58}, {7, 59}, {2, 63}, {4, 59}, {24, 88}, {26, 90}, {31, 95}, {41, 105}, {33, 96}, {1, 67}, {20, 86}, {2, 64}, {34, 96}, {4, 71}, {47, 108}, {27, 88}, {8, 75}, {6, 69}, {33, 98}, {8, 76}, {28, 88}, {22, 82}, {35, 103}, {3, 70}, {19, 86}, {11, 78}, {9, 76}, {40, 109}, {5, 67}, {27, 93}, {39, 97}, {26, 93}, {38, 97}, {17, 89}, {29, 85}, {43, 99}, {26, 83}, {31, 86}, {12, 70}, {47, 101}, {39, 109}, {3, 72}, {45, 102}, {24, 84}, {29, 81}, {28, 80}, {27, 87}, {32, 108}, {9, 68}, {28, 81}, {25, 84}, {11, 70}, {10, 68}, {40, 102}, {10, 69}, {44, 99}, {18, 93}, {37, 106}, {11, 91}, {29, 77}, {30, 78}, {17, 64}, {53, 100}, {23, 70}, {21, 68}, {1, 83}, {6, 84}, {12, 95}, {29, 78}, {5, 81}, {14, 90}, {8, 92}, {7, 82}, {23, 66}, {22, 67}, {15, 90}, {25, 79}, {1, 86}, {28, 75}, {54, 110}, {17, 75}, {24, 66}, {23, 77}, {19, 73}, {12, 87}, {48, 107}, {22, 77}, {20, 79}, {18, 73}, {16, 75}, {19, 77}, {52, 106}, {51, 109}, {27, 69}, {48, 80}, {6, 100}, {7, 101}, {4, 103}, {15, 108}, {7, 100}, {3, 103}, {45, 73}, {36, 64}, {40, 76}, {5, 96}, {50, 87}, {47, 74}, {13, 107}, {55, 81}, {46, 72}, {44, 74}, {14, 104}, {37, 67}, {39, 65}, {9, 110}, {47, 72}, {11, 108}, {41, 78}, {14, 102}, {52, 92}, {40, 64}, {2, 107}, {51, 90}, {1, 107}, {51, 89}, {46, 68}, {10, 96}, {43, 65}, {10, 97}, {53, 94}, {52, 95}, {13, 102}, {42, 65}, {2, 110}, {55, 91}, {15, 99}, {5, 105}, {3, 110}, {54, 91}, {4, 105}, {15, 97}, {55, 89}, {38, 72}, {13, 98}, {51, 92}, {35, 76}, {42, 69}, {24, 104}, {50, 66}, {49, 65}, {36, 84}, {39, 85}, {53, 71}, {52, 71}, {22, 98}, {33, 85}, {36, 80}, {42, 94}, {32, 85}, {55, 66}, {37, 80}, {18, 100}, {49, 71}, {20, 99}, {21, 98}, {41, 94}, {43, 92}, {21, 109}, {16, 105}, {46, 87}, {17, 104}, {30, 103}, {32, 89}, {16, 106}, {48, 74}, {18, 104}, {34, 88}, {30, 101}, {50, 73}, {38, 93}, {41, 82}, {35, 95}, {54, 74}, {20, 106}, {49, 79}, {45, 83}, {26, 101}, {48, 79}, {45, 82}, {44, 83}, {33, 94}, {36, 91} }>;

(II) A more general form is to represent the graph as the orbit of {50, 58} under the group generated by the following permutations:

a: (2, 26, 5, 31)(3, 30, 4, 35)(6, 17, 27, 55)(7, 16, 12, 54)(8, 46, 11, 53)(9, 47, 41, 52)(10, 32, 42, 51)(13, 44, 22, 20)(14, 34, 23, 25)(15, 33, 43, 21)(18, 28, 50, 36)(19, 48, 45, 37)(29, 49, 40, 38)(56, 63, 90, 96)(57, 77, 79, 102)(58, 64, 93, 81)(59, 61, 70, 62)(60, 74, 82, 106)(65, 109, 97, 85)(66, 84, 104, 88)(67, 86, 107, 83)(68, 108, 94, 92)(69, 89)(71, 76, 72, 78)(73, 80)(75, 87, 91, 100)(95, 110, 101, 105)(98, 99)
b: (2, 26, 31, 5)(3, 27, 35, 10)(4, 42, 30, 6)(7, 49, 41, 25)(8, 39, 11, 24)(9, 38, 12, 34)(13, 44, 19, 37)(14, 43, 29, 36)(15, 23, 28, 40)(16, 21, 47, 50)(17, 51, 32, 55)(18, 52, 33, 54)(20, 22, 48, 45)(56, 81, 64, 90)(57, 60)(58, 105, 63, 101)(59, 65, 78, 84)(61, 68, 72, 87)(62, 100, 71, 94)(66, 75, 109, 108)(67, 107, 83, 86)(69, 103)(70, 88, 76, 97)(73, 106, 98, 74)(77, 80, 102, 99)(79, 82)(85, 91, 104, 92)(93, 95, 96, 110)
c: (1, 2, 17, 16, 46, 50, 49, 39, 29, 30, 26)(3, 18, 20, 21, 55, 4, 38, 19, 25, 51, 5)(6, 43, 33, 11, 7, 44, 13, 36, 8, 34, 12)(9, 24, 52, 10, 23, 53, 15, 22, 54, 14, 37)(27, 31, 42, 32, 41, 47, 45, 48, 40, 28, 35)(56, 94, 108, 82, 74, 102, 80, 76, 88, 95, 69)(57, 60, 84, 92, 96, 70, 100, 99, 98, 91, 59)(58, 65, 85, 78, 101, 83, 107, 64, 75, 61, 87)(62, 90, 67, 110, 104, 106, 68, 66, 71, 97, 77)(63, 89, 105, 72, 73, 79, 109, 81, 103, 93, 86)

(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[ 110, 7 ]
110
-1 67 83 107 86
-2 110 63 107 64
-3 110 70 103 72
-4 59 103 71 105
-5 67 81 105 96
-6 100 58 69 84
-7 100 101 59 82
-8 59 92 75 76
-9 110 68 60 76
-10 68 69 96 97
-11 78 91 70 108
-12 70 60 95 87
-13 102 60 107 98
-14 90 102 59 104
-15 99 90 97 108
-16 61 105 106 75
-17 89 104 64 75
-18 100 93 104 73
-19 77 60 73 86
-20 99 79 106 86
-21 68 63 98 109
-22 77 67 82 98
-23 66 77 56 70
-24 66 88 104 84
-25 79 62 84 63
-26 90 101 93 83
-27 88 69 93 87
-28 88 80 81 75
-29 77 78 81 85
-30 78 101 103 62
-31 56 58 95 86
-32 56 89 85 108
-33 94 85 96 98
-34 88 57 61 96
-35 103 61 95 76
-36 80 91 84 64
-37 67 57 80 106
-38 57 93 72 97
-39 85 97 65 109
-40 102 64 76 109
-41 78 82 94 105
-42 69 94 63 65
-43 99 56 92 65
-44 99 57 83 74
-45 102 82 83 73
-46 68 61 72 87
-47 101 72 74 108
-48 79 80 74 107
-49 79 58 71 65
-50 66 58 73 87
-51 89 90 92 109
-52 92 71 95 106
-53 100 71 94 62
-54 110 91 62 74
-55 66 89 91 81
-56 23 31 32 43
-57 44 34 37 38
-58 49 6 50 31
-59 14 4 7 8
-60 12 13 19 9
-61 34 35 46 16
-62 25 30 53 54
-63 2 25 42 21
-64 2 36 17 40
-65 49 39 42 43
-66 55 23 24 50
-67 22 1 37 5
-68 46 9 10 21
-69 27 6 42 10
-70 11 12 23 3
-71 4 49 52 53
-72 46 3 47 38
-73 45 50 18 19
-74 44 47 48 54
-75 16 17 28 8
-76 35 40 8 9
-77 22 23 29 19
-78 11 29 30 41
-79 25 48 49 20
-80 36 37 48 28
-81 55 5 28 29
-82 22 45 7 41
-83 44 1 45 26
-84 24 25 36 6
-85 33 39 29 32
-86 1 19 20 31
-87 12 46 27 50
-88 34 24 27 28
-89 55 17 51 32
-90 14 15 26 51
-91 11 55 36 54
-92 51 8 52 43
-93 26 27 38 18
-94 33 41 42 53
-95 12 35 52 31
-96 33 34 5 10
-97 15 38 39 10
-98 22 33 13 21
-99 44 15 20 43
-100 6 7 18 53
-101 47 26 7 30
-102 45 13 14 40
-103 35 3 4 30
-104 24 14 17 18
-105 4 5 16 41
-106 37 16 52 20
-107 1 2 13 48
-108 11 47 15 32
-109 39 40 51 21
-110 2 3 9 54
0

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