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On this page are computer-accessible forms for the graph C4[ 135, 8 ] = UG(Cmap(270,3){12,4|15}_30).

(I) Following is a form readable by MAGMA:

g:=Graph<135|{ {2, 3}, {118, 119}, {100, 101}, {98, 99}, {88, 89}, {86, 87}, {84, 85}, {44, 45}, {26, 27}, {20, 21}, {8, 9}, {56, 57}, {62, 63}, {4, 6}, {132, 134}, {80, 82}, {45, 47}, {64, 66}, {1, 2}, {129, 130}, {125, 126}, {109, 110}, {93, 94}, {29, 30}, {13, 14}, {61, 62}, {10, 14}, {128, 132}, {88, 92}, {41, 45}, {11, 15}, {59, 63}, {73, 77}, {1, 4}, {130, 135}, {121, 124}, {105, 108}, {43, 46}, {42, 47}, {16, 21}, {8, 13}, {1, 7}, {131, 133}, {115, 117}, {3, 5}, {8, 15}, {120, 127}, {115, 116}, {107, 108}, {104, 111}, {91, 92}, {43, 44}, {17, 22}, {75, 76}, {87, 95}, {113, 121}, {112, 120}, {102, 110}, {19, 26}, {116, 125}, {71, 78}, {20, 30}, {100, 110}, {97, 107}, {96, 106}, {84, 94}, {1, 10}, {114, 121}, {97, 106}, {18, 25}, {51, 56}, {70, 77}, {7, 11}, {35, 47}, {54, 58}, {5, 8}, {2, 12}, {99, 109}, {80, 94}, {52, 58}, {69, 75}, {6, 9}, {119, 120}, {103, 104}, {39, 40}, {3, 18}, {2, 16}, {103, 117}, {79, 93}, {44, 62}, {43, 56}, {101, 118}, {64, 83}, {3, 23}, {78, 90}, {36, 48}, {70, 82}, {36, 49}, {78, 91}, {68, 81}, {71, 81}, {76, 90}, {4, 19}, {38, 49}, {68, 83}, {13, 20}, {74, 83}, {5, 31}, {7, 29}, {6, 28}, {13, 22}, {4, 24}, {41, 53}, {12, 17}, {107, 118}, {42, 55}, {40, 53}, {5, 27}, {79, 81}, {46, 48}, {41, 54}, {109, 114}, {106, 117}, {74, 85}, {9, 40}, {11, 42}, {66, 96}, {7, 36}, {88, 123}, {10, 41}, {6, 35}, {95, 122}, {9, 46}, {12, 43}, {87, 126}, {72, 98}, {16, 59}, {65, 106}, {83, 127}, {17, 60}, {19, 62}, {31, 49}, {18, 61}, {15, 63}, {30, 44}, {91, 105}, {31, 45}, {72, 122}, {73, 123}, {67, 119}, {73, 125}, {74, 126}, {15, 58}, {90, 111}, {77, 120}, {20, 34}, {14, 57}, {85, 98}, {23, 32}, {70, 113}, {10, 50}, {29, 37}, {12, 52}, {11, 51}, {24, 33}, {86, 111}, {66, 123}, {69, 124}, {24, 34}, {29, 39}, {28, 38}, {25, 34}, {93, 102}, {82, 105}, {28, 32}, {89, 101}, {76, 112}, {68, 121}, {27, 37}, {31, 33}, {30, 32}, {69, 122}, {95, 96}, {75, 116}, {47, 111}, {33, 96}, {40, 105}, {38, 103}, {48, 113}, {51, 114}, {35, 97}, {23, 84}, {39, 100}, {27, 88}, {51, 112}, {55, 116}, {37, 97}, {21, 80}, {38, 99}, {35, 102}, {33, 100}, {28, 89}, {53, 112}, {54, 115}, {37, 98}, {54, 113}, {26, 80}, {58, 118}, {24, 85}, {26, 87}, {56, 117}, {14, 64}, {25, 86}, {39, 104}, {22, 71}, {16, 68}, {19, 71}, {18, 70}, {17, 69}, {25, 79}, {52, 99}, {21, 76}, {23, 78}, {22, 77}, {57, 101}, {49, 108}, {50, 109}, {60, 89}, {55, 81}, {48, 90}, {46, 67}, {50, 67}, {57, 72}, {59, 73}, {50, 65}, {59, 72}, {55, 67}, {52, 66}, {60, 74}, {61, 75}, {42, 82}, {36, 93}, {53, 79}, {60, 65}, {61, 64}, {34, 92}, {63, 65}, {32, 95}, {86, 130}, {84, 129}, {91, 131}, {94, 132}, {92, 128}, {103, 133}, {102, 131}, {110, 135}, {104, 132}, {107, 134}, {108, 130}, {119, 133}, {114, 134}, {115, 135}, {127, 135}, {124, 133}, {122, 128}, {123, 129}, {125, 134}, {124, 129}, {126, 131}, {127, 128} }>;

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

a: (1, 2)(3, 10)(4, 12)(5, 14)(6, 17)(7, 16)(8, 13)(9, 22)(11, 21)(15, 20)(18, 41)(19, 43)(23, 50)(24, 52)(25, 54)(26, 56)(27, 57)(28, 60)(29, 59)(30, 63)(31, 64)(32, 65)(33, 66)(34, 58)(35, 69)(36, 68)(37, 72)(38, 74)(39, 73)(40, 77)(42, 76)(44, 62)(45, 61)(46, 71)(47, 75)(48, 81)(49, 83)(51, 80)(53, 70)(55, 90)(67, 78)(79, 113)(82, 112)(84, 109)(85, 99)(86, 115)(87, 117)(88, 101)(91, 119)(92, 118)(93, 121)(94, 114)(95, 106)(97, 122)(100, 123)(102, 124)(103, 126)(104, 125)(105, 120)(107, 128)(108, 127)(110, 129)(111, 116)(130, 135)(131, 133)(132, 134)
b: (2, 4, 7, 10)(3, 6, 11, 14)(5, 9, 15, 13)(12, 19, 29, 41)(16, 24, 36, 50)(17, 26, 39, 54)(18, 28, 42, 57)(20, 31, 46, 63)(21, 33, 48, 65)(22, 27, 40, 58)(23, 35, 51, 64)(25, 38, 55, 72)(30, 45, 43, 62)(32, 47, 56, 61)(34, 49, 67, 59)(37, 53, 52, 71)(60, 80, 100, 113)(66, 78, 97, 112)(68, 85, 93, 109)(69, 87, 104, 115)(70, 89, 82, 101)(73, 92, 108, 119)(74, 94, 110, 121)(75, 95, 111, 117)(76, 96, 90, 106)(77, 88, 105, 118)(79, 99, 81, 98)(83, 84, 102, 114)(86, 103, 116, 122)(91, 107, 120, 123)(124, 126, 132, 135)(125, 128, 130, 133)(127, 129, 131, 134)

(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[ 135, 8 ]
135
-1 2 4 7 10
-2 1 12 3 16
-3 23 2 5 18
-4 1 24 6 19
-5 3 27 8 31
-6 35 4 28 9
-7 11 1 36 29
-8 13 15 5 9
-9 46 6 40 8
-10 1 14 50 41
-11 15 7 51 42
-12 2 17 52 43
-13 22 14 8 20
-14 13 57 64 10
-15 11 58 8 63
-16 2 68 59 21
-17 22 12 69 60
-18 3 25 70 61
-19 4 26 71 62
-20 34 13 30 21
-21 80 16 20 76
-22 77 13 71 17
-23 78 3 84 32
-24 33 34 4 85
-25 34 79 18 86
-26 80 27 19 87
-27 88 26 37 5
-28 89 38 6 32
-29 37 39 7 30
-30 44 29 20 32
-31 33 45 5 49
-32 23 28 95 30
-33 100 24 96 31
-34 24 25 92 20
-35 47 102 6 97
-36 48 49 93 7
-37 27 29 97 98
-38 99 103 49 28
-39 100 104 29 40
-40 39 105 9 53
-41 45 53 10 54
-42 11 55 47 82
-43 44 12 56 46
-44 45 62 30 43
-45 44 47 41 31
-46 67 48 9 43
-47 45 111 35 42
-48 46 90 36 113
-49 36 38 31 108
-50 67 10 65 109
-51 11 56 112 114
-52 66 99 12 58
-53 79 112 40 41
-54 58 113 115 41
-55 67 81 116 42
-56 57 51 117 43
-57 56 101 14 72
-58 15 52 118 54
-59 16 72 73 63
-60 89 17 74 65
-61 18 62 64 75
-62 44 61 19 63
-63 15 59 62 65
-64 66 14 61 83
-65 60 50 106 63
-66 123 52 96 64
-67 55 46 50 119
-68 121 81 16 83
-69 122 124 17 75
-70 77 113 82 18
-71 22 78 81 19
-72 122 57 59 98
-73 77 123 59 125
-74 60 126 83 85
-75 69 61 116 76
-76 90 112 75 21
-77 22 70 73 120
-78 23 90 91 71
-79 25 81 93 53
-80 26 82 94 21
-81 55 68 79 71
-82 80 70 105 42
-83 68 127 74 64
-84 23 94 85 129
-85 24 84 74 98
-86 111 25 130 87
-87 26 126 95 86
-88 89 123 92 27
-89 88 101 60 28
-90 78 111 48 76
-91 78 92 105 131
-92 88 34 91 128
-93 79 36 102 94
-94 132 80 93 84
-95 122 96 32 87
-96 33 66 95 106
-97 35 37 106 107
-98 99 37 72 85
-99 38 52 98 109
-100 33 110 101 39
-101 89 100 57 118
-102 110 35 93 131
-103 133 38 104 117
-104 132 111 103 39
-105 91 82 40 108
-106 117 96 97 65
-107 134 118 97 108
-108 49 105 107 130
-109 99 110 114 50
-110 100 102 135 109
-111 90 47 104 86
-112 51 53 76 120
-113 121 48 70 54
-114 121 134 51 109
-115 135 116 117 54
-116 55 125 115 75
-117 56 103 115 106
-118 101 58 107 119
-119 67 133 118 120
-120 77 112 127 119
-121 68 113 124 114
-122 69 72 95 128
-123 66 88 73 129
-124 121 133 69 129
-125 134 126 116 73
-126 125 74 87 131
-127 135 83 128 120
-128 132 122 92 127
-129 123 124 84 130
-130 135 129 86 108
-131 133 91 102 126
-132 134 104 94 128
-133 124 103 119 131
-134 132 114 125 107
-135 110 115 127 130
0

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