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On this page are computer-accessible forms for the graph C4[ 160, 2 ] = C_160(1,31).

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

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

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