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On this page are computer-accessible forms for the graph C4[ 160, 7 ] = {4,4}_[20,4].

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

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

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