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On this page are computer-accessible forms for the graph C4[ 140, 6 ] = PS(4,35;8).

(I) Following is a form readable by MAGMA:

g:=Graph<140|{ {104, 110}, {105, 111}, {35, 36}, {64, 72}, {70, 78}, {69, 77}, {68, 76}, {67, 75}, {66, 74}, {65, 73}, {102, 108}, {103, 109}, {100, 106}, {101, 107}, {64, 91}, {68, 95}, {65, 92}, {98, 127}, {96, 125}, {67, 94}, {66, 93}, {97, 126}, {4, 38}, {25, 59}, {24, 58}, {21, 55}, {20, 54}, {17, 51}, {16, 50}, {13, 47}, {12, 46}, {9, 43}, {8, 42}, {5, 39}, {28, 62}, {29, 63}, {79, 108}, {95, 124}, {91, 120}, {87, 116}, {83, 112}, {1, 37}, {25, 61}, {24, 60}, {19, 55}, {18, 54}, {17, 53}, {16, 52}, {11, 47}, {10, 46}, {9, 45}, {8, 44}, {3, 39}, {2, 38}, {26, 62}, {27, 63}, {69, 96}, {94, 123}, {92, 121}, {86, 115}, {84, 113}, {78, 107}, {2, 36}, {19, 53}, {18, 52}, {11, 45}, {10, 44}, {3, 37}, {26, 60}, {27, 61}, {70, 97}, {93, 122}, {85, 114}, {77, 106}, {80, 121}, {86, 127}, {84, 125}, {82, 123}, {81, 122}, {85, 126}, {4, 40}, {23, 59}, {22, 58}, {21, 57}, {20, 56}, {7, 43}, {6, 42}, {5, 41}, {88, 117}, {90, 119}, {6, 40}, {23, 57}, {22, 56}, {7, 41}, {83, 124}, {89, 118}, {71, 112}, {79, 120}, {72, 113}, {78, 119}, {76, 117}, {74, 115}, {73, 114}, {77, 118}, {12, 48}, {15, 51}, {14, 50}, {13, 49}, {80, 109}, {82, 111}, {14, 48}, {15, 49}, {75, 116}, {81, 110}, {38, 100}, {39, 101}, {42, 104}, {43, 105}, {36, 98}, {37, 99}, {1, 70}, {40, 102}, {41, 103}, {32, 115}, {33, 116}, {61, 104}, {55, 98}, {53, 96}, {35, 118}, {34, 117}, {62, 105}, {54, 97}, {56, 99}, {60, 103}, {28, 64}, {29, 65}, {30, 66}, {31, 67}, {32, 124}, {33, 125}, {34, 126}, {35, 127}, {57, 100}, {59, 102}, {30, 64}, {31, 65}, {58, 101}, {32, 66}, {33, 67}, {14, 106}, {23, 115}, {22, 114}, {21, 113}, {20, 112}, {15, 107}, {28, 120}, {29, 121}, {30, 122}, {31, 123}, {32, 68}, {33, 69}, {34, 70}, {45, 72}, {63, 90}, {61, 88}, {55, 82}, {47, 74}, {53, 80}, {34, 68}, {35, 69}, {46, 73}, {62, 89}, {54, 81}, {36, 79}, {60, 87}, {56, 83}, {44, 71}, {48, 91}, {52, 95}, {24, 116}, {25, 117}, {26, 118}, {27, 119}, {29, 112}, {59, 86}, {57, 84}, {31, 114}, {49, 92}, {51, 94}, {30, 113}, {58, 85}, {50, 93}, {24, 107}, {28, 111}, {25, 108}, {27, 110}, {37, 80}, {39, 82}, {45, 88}, {47, 90}, {1, 119}, {9, 127}, {8, 126}, {26, 109}, {38, 81}, {46, 89}, {63, 71}, {2, 120}, {7, 125}, {6, 124}, {3, 121}, {40, 83}, {44, 87}, {48, 75}, {52, 79}, {16, 108}, {19, 111}, {18, 110}, {17, 109}, {23, 106}, {41, 84}, {43, 86}, {49, 76}, {51, 78}, {4, 122}, {5, 123}, {42, 85}, {50, 77}, {1, 128}, {13, 140}, {11, 138}, {9, 136}, {7, 134}, {5, 132}, {3, 130}, {2, 129}, {10, 137}, {6, 133}, {4, 131}, {12, 139}, {10, 128}, {15, 133}, {14, 132}, {11, 129}, {12, 130}, {13, 131}, {8, 135}, {16, 134}, {17, 135}, {18, 136}, {22, 140}, {19, 137}, {20, 138}, {21, 139}, {71, 135}, {76, 140}, {75, 139}, {74, 138}, {73, 137}, {72, 136}, {87, 128}, {95, 136}, {88, 129}, {94, 135}, {92, 133}, {90, 131}, {89, 130}, {93, 134}, {91, 132}, {99, 128}, {103, 132}, {100, 129}, {102, 131}, {101, 130}, {96, 137}, {98, 139}, {97, 138}, {104, 133}, {99, 140}, {105, 134} }>;

(II) A more general form is to represent the graph as the orbit of {104, 110} under the group generated by the following permutations:

a: (1, 36, 71, 106)(2, 44, 100, 128)(3, 52, 94, 115)(4, 60, 88, 137)(5, 68, 82, 124)(6, 41, 76, 111)(7, 49, 105, 133)(8, 57, 99, 120)(9, 65, 93, 107)(10, 38, 87, 129)(11, 46, 81, 116)(12, 54, 75, 138)(13, 62, 104, 125)(14, 70, 98, 112)(15, 43, 92, 134)(16, 51, 86, 121)(17, 59, 80, 108)(18, 67, 74, 130)(19, 40, 103, 117)(20, 48, 97, 139)(21, 56, 91, 126)(22, 64, 85, 113)(23, 37, 79, 135)(24, 45, 73, 122)(25, 53, 102, 109)(26, 61, 96, 131)(27, 69, 90, 118)(28, 42, 84, 140)(29, 50, 78, 127)(30, 58, 72, 114)(31, 66, 101, 136)(32, 39, 95, 123)(33, 47, 89, 110)(34, 55, 83, 132)(35, 63, 77, 119)
b: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35)(36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70)(71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105)(106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140)
c: (2, 35)(3, 34)(4, 33)(5, 32)(6, 31)(7, 30)(8, 29)(9, 28)(10, 27)(11, 26)(12, 25)(13, 24)(14, 23)(15, 22)(16, 21)(17, 20)(18, 19)(37, 70)(38, 69)(39, 68)(40, 67)(41, 66)(42, 65)(43, 64)(44, 63)(45, 62)(46, 61)(47, 60)(48, 59)(49, 58)(50, 57)(51, 56)(52, 55)(53, 54)(72, 105)(73, 104)(74, 103)(75, 102)(76, 101)(77, 100)(78, 99)(79, 98)(80, 97)(81, 96)(82, 95)(83, 94)(84, 93)(85, 92)(86, 91)(87, 90)(88, 89)(107, 140)(108, 139)(109, 138)(110, 137)(111, 136)(112, 135)(113, 134)(114, 133)(115, 132)(116, 131)(117, 130)(118, 129)(119, 128)(120, 127)(121, 126)(122, 125)(123, 124)

(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[ 140, 6 ]
140
-1 37 70 128 119
-2 36 38 129 120
-3 121 37 39 130
-4 122 38 40 131
-5 132 123 39 41
-6 133 124 40 42
-7 134 125 41 43
-8 44 135 126 42
-9 45 136 127 43
-10 44 46 137 128
-11 45 47 138 129
-12 46 48 139 130
-13 47 49 140 131
-14 132 48 50 106
-15 133 49 51 107
-16 134 50 52 108
-17 135 51 53 109
-18 110 136 52 54
-19 55 111 137 53
-20 56 112 138 54
-21 55 57 113 139
-22 56 58 114 140
-23 57 59 115 106
-24 58 60 116 107
-25 59 61 117 108
-26 60 62 118 109
-27 110 61 63 119
-28 111 62 64 120
-29 121 112 63 65
-30 66 122 113 64
-31 67 123 114 65
-32 66 68 124 115
-33 67 69 125 116
-34 68 70 126 117
-35 36 69 127 118
-36 2 35 79 98
-37 99 1 3 80
-38 100 2 4 81
-39 101 3 5 82
-40 102 4 6 83
-41 103 5 7 84
-42 104 6 8 85
-43 105 7 9 86
-44 71 8 10 87
-45 11 88 72 9
-46 12 89 73 10
-47 11 13 90 74
-48 12 14 91 75
-49 13 15 92 76
-50 77 14 16 93
-51 78 15 17 94
-52 79 16 18 95
-53 80 17 19 96
-54 81 18 20 97
-55 82 19 21 98
-56 22 99 83 20
-57 23 100 84 21
-58 22 24 101 85
-59 23 25 102 86
-60 24 26 103 87
-61 88 25 27 104
-62 89 26 28 105
-63 90 27 71 29
-64 91 28 72 30
-65 92 29 73 31
-66 93 30 74 32
-67 33 94 31 75
-68 34 95 32 76
-69 33 77 35 96
-70 1 34 78 97
-71 44 112 135 63
-72 45 113 136 64
-73 46 114 137 65
-74 66 47 115 138
-75 67 48 116 139
-76 68 49 117 140
-77 69 50 106 118
-78 70 51 107 119
-79 36 52 108 120
-80 121 37 53 109
-81 110 122 38 54
-82 55 111 123 39
-83 56 112 124 40
-84 57 113 125 41
-85 58 114 126 42
-86 59 115 127 43
-87 44 60 116 128
-88 45 61 117 129
-89 46 62 118 130
-90 47 63 119 131
-91 132 48 64 120
-92 121 133 49 65
-93 66 122 134 50
-94 67 123 135 51
-95 68 124 136 52
-96 69 125 137 53
-97 70 126 138 54
-98 55 36 127 139
-99 56 37 128 140
-100 57 38 106 129
-101 58 39 107 130
-102 59 40 108 131
-103 132 60 41 109
-104 110 133 61 42
-105 111 134 62 43
-106 77 23 100 14
-107 78 24 101 15
-108 79 25 102 16
-109 80 26 103 17
-110 81 27 104 18
-111 82 28 105 19
-112 71 83 29 20
-113 72 84 30 21
-114 22 73 85 31
-115 23 74 86 32
-116 33 24 75 87
-117 88 34 25 76
-118 77 89 35 26
-119 1 78 90 27
-120 2 79 91 28
-121 3 80 92 29
-122 4 81 93 30
-123 5 82 94 31
-124 6 83 95 32
-125 33 7 84 96
-126 34 8 85 97
-127 35 9 86 98
-128 99 1 10 87
-129 11 88 100 2
-130 12 89 101 3
-131 13 90 102 4
-132 14 91 103 5
-133 15 92 104 6
-134 16 93 105 7
-135 71 17 94 8
-136 72 18 95 9
-137 73 19 96 10
-138 11 74 20 97
-139 12 75 21 98
-140 22 99 13 76
0

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