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On this page are computer-accessible forms for the graph C4[ 160, 3 ] = C_160(1,49).

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

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

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