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On this page are computer-accessible forms for the graph C4[ 90, 11 ] = UG(Rmap(180,4){5,4|5}_8).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {34, 35} under the group generated by the following permutations:

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

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

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