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On this page are computer-accessible forms for the graph C4[ 160, 34 ] = PL(MC3(16,5,1,4,2,0,1),[10^8,16^5]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {80, 87} under the group generated by the following permutations:

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

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

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