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On this page are computer-accessible forms for the graph C4[ 160, 6 ] = {4,4}_<14,6>.

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

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