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On this page are computer-accessible forms for the graph C4[ 160, 26 ] = PL(MSY(10,8,3,0)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {74, 90} under the group generated by the following permutations:

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

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

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