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On this page are computer-accessible forms for the graph C4[ 160, 70 ] = BGCG(KE_20(1,7,2,15,1);K1;{4,5}).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {80, 88} under the group generated by the following permutations:

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

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

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