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On this page are computer-accessible forms for the graph C4[ 90, 9 ] = UG(ATD[90,13]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {56, 57} under the group generated by the following permutations:

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

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

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