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On this page are computer-accessible forms for the graph C4[ 160, 72 ] = BGCG(UG(Cmap(160,9){8,4|5}_10);K1;2).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {80, 90} under the group generated by the following permutations:

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

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

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