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On this page are computer-accessible forms for the graph C4[ 160, 73 ] = BGCG(UG(Cmap(160,9){8,4|5}_10);K1;3).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {77, 92} under the group generated by the following permutations:

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

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

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