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On this page are computer-accessible forms for the graph C4[ 90, 7 ] = DG(F30).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {26, 27} under the group generated by the following permutations:

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

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

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