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On this page are computer-accessible forms for the graph C4[ 90, 10 ] = TAG(F30).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {14, 15} under the group generated by the following permutations:

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

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

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