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On this page are computer-accessible forms for the graph C4[ 140, 3 ] = C_140(1,41).

(I) Following is a form readable by MAGMA:

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

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

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