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On this page are computer-accessible forms for the graph C4[ 160, 58 ] = PL(ATD[8,2]#ATD[10,1]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {80, 83} under the group generated by the following permutations:

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

(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.

**************

&Graph
C4[ 160, 58 ]
160
-1 112 113 138 118
-2 157 138 118 108
-3 143 123 107 120
-4 124 103 86 109
-5 122 90 125 149
-6 123 86 109 120
-7 90 125 118 87
-8 110 133 116 130
-9 143 91 150 107
-10 157 83 108 142
-11 143 133 148 152
-12 99 100 127 128
-13 125 82 93 160
-14 154 122 144 140
-15 154 111 158 115
-16 144 136 160 84
-17 88 100 103 98
-18 132 101 117 141
-19 135 82 106 85
-20 91 82 93 150
-21 99 110 116 128
-22 154 83 140 142
-23 143 154 133 158
-24 156 136 138 160
-25 100 156 103 138
-26 110 132 123 117
-27 99 135 85 86
-28 133 139 129 130
-29 134 126 105 153
-30 81 92 107 130
-31 155 147 148 152
-32 121 112 113 117
-33 124 127 118 87
-34 114 93 126 108
-35 145 105 96 142
-36 132 92 148 131
-37 90 114 136 106
-38 146 158 149 84
-39 156 102 104 87
-40 146 94 140 97
-41 122 144 135 119
-42 81 95 152 98
-43 155 145 151 141
-44 89 91 95 129
-45 88 89 159 85
-46 89 124 127 95
-47 121 145 96 131
-48 114 93 159 119
-49 114 106 139 129
-50 111 112 104 115
-51 111 101 96 97
-52 102 113 94 97
-53 155 147 126 108
-54 134 146 158 105
-55 156 126 87 153
-56 146 107 140 130
-57 121 81 117 152
-58 155 124 103 151
-59 91 105 129 142
-60 88 89 92 148
-61 121 116 120 131
-62 159 128 119 109
-63 122 116 149 120
-64 112 104 128 109
-65 111 90 136 97
-66 81 92 137 151
-67 132 102 104 131
-68 157 82 106 153
-69 101 134 83 141
-70 110 144 123 84
-71 99 102 113 86
-72 125 115 94 160
-73 101 147 137 96
-74 159 149 84 85
-75 88 139 150 98
-76 135 95 119 98
-77 145 115 94 141
-78 157 137 151 153
-79 100 147 137 127
-80 134 83 139 150
-81 66 57 30 42
-82 13 68 19 20
-83 22 69 80 10
-84 70 16 38 74
-85 45 27 19 74
-86 4 27 71 6
-87 33 55 39 7
-88 45 60 17 75
-89 44 45 46 60
-90 37 5 7 65
-91 44 59 9 20
-92 66 36 60 30
-93 34 13 48 20
-94 77 72 40 52
-95 44 46 42 76
-96 35 47 51 73
-97 40 51 52 65
-98 17 42 75 76
-99 12 27 71 21
-100 12 79 25 17
-101 69 18 51 73
-102 67 71 39 52
-103 25 58 4 17
-104 67 39 50 64
-105 35 59 29 54
-106 68 37 49 19
-107 56 3 30 9
-108 34 2 53 10
-109 4 6 62 64
-110 26 70 8 21
-111 15 50 51 65
-112 1 50 64 32
-113 1 71 52 32
-114 34 37 48 49
-115 77 15 50 72
-116 61 8 63 21
-117 57 26 18 32
-118 33 1 2 7
-119 48 62 41 76
-120 3 6 61 63
-121 57 47 61 32
-122 14 5 41 63
-123 3 26 70 6
-124 33 46 58 4
-125 13 5 72 7
-126 55 34 29 53
-127 33 12 46 79
-128 12 62 64 21
-129 44 59 49 28
-130 56 28 8 30
-131 67 36 47 61
-132 67 36 26 18
-133 11 23 28 8
-134 69 80 29 54
-135 27 19 41 76
-136 24 37 16 65
-137 66 78 79 73
-138 1 2 24 25
-139 80 49 28 75
-140 22 56 14 40
-141 77 69 18 43
-142 22 35 59 10
-143 11 23 3 9
-144 14 70 16 41
-145 77 35 47 43
-146 56 38 40 54
-147 79 73 31 53
-148 11 36 60 31
-149 5 38 63 74
-150 80 9 20 75
-151 66 78 58 43
-152 11 57 31 42
-153 55 78 68 29
-154 22 23 14 15
-155 58 31 53 43
-156 55 24 25 39
-157 78 2 68 10
-158 23 15 38 54
-159 45 48 62 74
-160 13 24 16 72
0

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