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On this page are computer-accessible forms for the graph C4[ 160, 4 ] = {4,4}_[10,8].

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

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