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On this page are computer-accessible forms for the graph C4[ 160, 62 ] = UG(Cmap(320,21){8,4|10}_20).

(I) Following is a form readable by MAGMA:

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

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

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

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