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On this page are computer-accessible forms for the graph C4[ 160, 8 ] = {4,4}_<22,18>.

(I) Following is a form readable by MAGMA:

g:=Graph<160|{ {2, 3}, {158, 159}, {156, 157}, {154, 155}, {152, 153}, {150, 151}, {148, 149}, {146, 147}, {144, 145}, {142, 143}, {140, 141}, {138, 139}, {136, 137}, {134, 135}, {132, 133}, {130, 131}, {128, 129}, {126, 127}, {124, 125}, {122, 123}, {120, 121}, {118, 119}, {116, 117}, {114, 115}, {112, 113}, {110, 111}, {108, 109}, {106, 107}, {104, 105}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {38, 39}, {36, 37}, {34, 35}, {32, 33}, {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}, {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}, {82, 83}, {84, 85}, {86, 87}, {88, 89}, {90, 91}, {92, 93}, {94, 95}, {96, 97}, {98, 99}, {100, 101}, {102, 103}, {1, 2}, {157, 158}, {153, 154}, {149, 150}, {145, 146}, {141, 142}, {137, 138}, {133, 134}, {129, 130}, {125, 126}, {121, 122}, {117, 118}, {113, 114}, {109, 110}, {105, 106}, {49, 50}, {45, 46}, {41, 42}, {37, 38}, {33, 34}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {53, 54}, {57, 58}, {61, 62}, {65, 66}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {85, 86}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {3, 4}, {155, 156}, {147, 148}, {139, 140}, {131, 132}, {123, 124}, {115, 116}, {107, 108}, {51, 52}, {43, 44}, {35, 36}, {11, 12}, {19, 20}, {27, 28}, {59, 60}, {67, 68}, {75, 76}, {83, 84}, {91, 92}, {99, 100}, {7, 8}, {151, 152}, {135, 136}, {119, 120}, {39, 40}, {23, 24}, {55, 56}, {71, 72}, {87, 88}, {103, 104}, {15, 16}, {143, 144}, {111, 112}, {47, 48}, {79, 80}, {64, 106}, {65, 107}, {68, 110}, {69, 111}, {80, 122}, {66, 108}, {67, 109}, {70, 112}, {71, 113}, {78, 120}, {79, 121}, {72, 114}, {73, 115}, {76, 118}, {77, 119}, {74, 116}, {75, 117}, {31, 32}, {159, 160}, {95, 96}, {1, 81}, {47, 127}, {46, 126}, {45, 125}, {44, 124}, {43, 123}, {42, 122}, {41, 121}, {40, 120}, {39, 119}, {38, 118}, {37, 117}, {36, 116}, {35, 115}, {34, 114}, {33, 113}, {32, 112}, {2, 82}, {3, 83}, {4, 84}, {5, 85}, {6, 86}, {7, 87}, {8, 88}, {9, 89}, {10, 90}, {11, 91}, {12, 92}, {13, 93}, {14, 94}, {15, 95}, {1, 80}, {54, 96}, {55, 97}, {62, 104}, {63, 105}, {56, 98}, {57, 99}, {60, 102}, {61, 103}, {58, 100}, {59, 101}, {48, 90}, {49, 91}, {52, 94}, {53, 95}, {50, 92}, {51, 93}, {16, 96}, {31, 111}, {30, 110}, {17, 97}, {18, 98}, {19, 99}, {20, 100}, {21, 101}, {22, 102}, {23, 103}, {24, 104}, {25, 105}, {26, 106}, {27, 107}, {28, 108}, {29, 109}, {39, 81}, {47, 89}, {46, 88}, {1, 123}, {45, 87}, {44, 86}, {41, 83}, {40, 82}, {4, 126}, {5, 127}, {2, 124}, {43, 85}, {42, 84}, {3, 125}, {63, 64}, {6, 128}, {38, 160}, {31, 153}, {30, 152}, {7, 129}, {14, 136}, {15, 137}, {22, 144}, {23, 145}, {8, 130}, {9, 131}, {12, 134}, {13, 135}, {24, 146}, {25, 147}, {28, 150}, {29, 151}, {10, 132}, {11, 133}, {26, 148}, {27, 149}, {16, 138}, {17, 139}, {20, 142}, {21, 143}, {18, 140}, {19, 141}, {48, 128}, {50, 130}, {49, 129}, {51, 131}, {52, 132}, {53, 133}, {54, 134}, {55, 135}, {56, 136}, {57, 137}, {58, 138}, {59, 139}, {60, 140}, {61, 141}, {62, 142}, {63, 143}, {32, 154}, {37, 159}, {36, 158}, {33, 155}, {34, 156}, {35, 157}, {64, 144}, {65, 145}, {66, 146}, {67, 147}, {68, 148}, {69, 149}, {70, 150}, {71, 151}, {72, 152}, {73, 153}, {74, 154}, {75, 155}, {76, 156}, {77, 157}, {78, 158}, {79, 159}, {80, 160}, {81, 160}, {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, 81)(3, 39)(4, 119)(5, 77)(6, 157)(7, 35)(8, 115)(9, 73)(10, 153)(11, 31)(12, 111)(13, 69)(14, 149)(15, 27)(16, 107)(17, 65)(18, 145)(19, 23)(20, 103)(21, 61)(22, 141)(24, 99)(25, 57)(26, 137)(28, 95)(29, 53)(30, 133)(32, 91)(33, 49)(34, 129)(36, 87)(37, 45)(38, 125)(40, 83)(42, 121)(43, 79)(44, 159)(46, 117)(47, 75)(48, 155)(50, 113)(51, 71)(52, 151)(54, 109)(55, 67)(56, 147)(58, 105)(59, 63)(60, 143)(62, 101)(64, 139)(66, 97)(68, 135)(70, 93)(72, 131)(74, 89)(76, 127)(78, 85)(80, 123)(84, 120)(86, 158)(88, 116)(90, 154)(92, 112)(94, 150)(96, 108)(98, 146)(100, 104)(102, 142)(106, 138)(110, 134)(114, 130)(118, 126)(124, 160)(128, 156)(132, 152)(136, 148)(140, 144)
b: (2, 123)(3, 43)(4, 85)(6, 127)(7, 47)(8, 89)(10, 131)(11, 51)(12, 93)(14, 135)(15, 55)(16, 97)(18, 139)(19, 59)(20, 101)(22, 143)(23, 63)(24, 105)(26, 147)(27, 67)(28, 109)(30, 151)(31, 71)(32, 113)(34, 155)(35, 75)(36, 117)(38, 159)(39, 79)(40, 121)(42, 83)(44, 125)(46, 87)(48, 129)(50, 91)(52, 133)(54, 95)(56, 137)(58, 99)(60, 141)(62, 103)(64, 145)(66, 107)(68, 149)(70, 111)(72, 153)(74, 115)(76, 157)(78, 119)(80, 81)(82, 122)(86, 126)(90, 130)(94, 134)(98, 138)(102, 142)(106, 146)(110, 150)(114, 154)(118, 158)
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, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160)

(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[ 160, 8 ]
160
-1 2 123 80 81
-2 1 3 124 82
-3 2 4 125 83
-4 3 5 126 84
-5 4 6 127 85
-6 5 7 128 86
-7 6 8 129 87
-8 88 7 9 130
-9 89 8 10 131
-10 11 132 90 9
-11 12 133 91 10
-12 11 13 134 92
-13 12 14 135 93
-14 13 15 136 94
-15 14 16 137 95
-16 15 17 138 96
-17 16 18 139 97
-18 17 19 140 98
-19 99 18 20 141
-20 100 19 21 142
-21 22 143 101 20
-22 23 144 102 21
-23 22 24 145 103
-24 23 25 146 104
-25 24 26 147 105
-26 25 27 148 106
-27 26 28 149 107
-28 27 29 150 108
-29 28 30 151 109
-30 110 29 31 152
-31 111 30 32 153
-32 33 154 112 31
-33 34 155 113 32
-34 33 35 156 114
-35 34 36 157 115
-36 35 37 158 116
-37 36 38 159 117
-38 37 39 160 118
-39 81 38 40 119
-40 82 39 41 120
-41 121 83 40 42
-42 122 84 41 43
-43 44 123 85 42
-44 45 124 86 43
-45 44 46 125 87
-46 88 45 47 126
-47 89 46 48 127
-48 90 47 49 128
-49 91 48 50 129
-50 92 49 51 130
-51 93 50 52 131
-52 132 94 51 53
-53 133 95 52 54
-54 55 134 96 53
-55 56 135 97 54
-56 55 57 136 98
-57 99 56 58 137
-58 100 57 59 138
-59 101 58 60 139
-60 102 59 61 140
-61 103 60 62 141
-62 104 61 63 142
-63 143 105 62 64
-64 144 106 63 65
-65 66 145 107 64
-66 67 146 108 65
-67 66 68 147 109
-68 110 67 69 148
-69 111 68 70 149
-70 112 69 71 150
-71 113 70 72 151
-72 114 71 73 152
-73 115 72 74 153
-74 154 116 73 75
-75 155 117 74 76
-76 77 156 118 75
-77 78 157 119 76
-78 77 79 158 120
-79 121 78 80 159
-80 1 122 79 160
-81 1 82 39 160
-82 2 81 83 40
-83 3 82 84 41
-84 4 83 85 42
-85 5 84 86 43
-86 44 6 85 87
-87 88 45 7 86
-88 89 46 8 87
-89 88 90 47 9
-90 89 91 48 10
-91 11 90 92 49
-92 12 91 93 50
-93 13 92 94 51
-94 14 93 95 52
-95 15 94 96 53
-96 16 95 97 54
-97 55 17 96 98
-98 99 56 18 97
-99 100 57 19 98
-100 99 101 58 20
-101 100 102 59 21
-102 22 101 103 60
-103 23 102 104 61
-104 24 103 105 62
-105 25 104 106 63
-106 26 105 107 64
-107 27 106 108 65
-108 66 28 107 109
-109 110 67 29 108
-110 111 68 30 109
-111 110 112 69 31
-112 111 113 70 32
-113 33 112 114 71
-114 34 113 115 72
-115 35 114 116 73
-116 36 115 117 74
-117 37 116 118 75
-118 38 117 119 76
-119 77 39 118 120
-120 121 78 40 119
-121 122 79 41 120
-122 121 123 80 42
-123 1 122 124 43
-124 44 2 123 125
-125 45 3 124 126
-126 46 4 125 127
-127 47 5 126 128
-128 48 6 127 129
-129 49 7 128 130
-130 50 8 129 131
-131 132 51 9 130
-132 133 52 10 131
-133 11 132 134 53
-134 12 133 135 54
-135 55 13 134 136
-136 56 14 135 137
-137 57 15 136 138
-138 58 16 137 139
-139 59 17 138 140
-140 60 18 139 141
-141 61 19 140 142
-142 143 62 20 141
-143 144 63 21 142
-144 22 143 145 64
-145 23 144 146 65
-146 66 24 145 147
-147 67 25 146 148
-148 68 26 147 149
-149 69 27 148 150
-150 70 28 149 151
-151 71 29 150 152
-152 72 30 151 153
-153 154 73 31 152
-154 155 74 32 153
-155 33 154 156 75
-156 34 155 157 76
-157 77 35 156 158
-158 78 36 157 159
-159 79 37 158 160
-160 80 81 38 159
0

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