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On this page are computer-accessible forms for the graph C4[ 180, 15 ] = PL(MSY(6,15,11,0)).

(I) Following is a form readable by MAGMA:

g:=Graph<180|{ {77, 91}, {76, 91}, {78, 108}, {81, 115}, {80, 114}, {79, 109}, {79, 108}, {80, 115}, {65, 101}, {66, 102}, {65, 102}, {66, 101}, {78, 102}, {81, 121}, {80, 120}, {79, 103}, {69, 108}, {81, 120}, {78, 103}, {70, 108}, {77, 102}, {82, 121}, {76, 96}, {83, 127}, {82, 126}, {77, 97}, {70, 107}, {82, 127}, {77, 96}, {69, 107}, {78, 97}, {81, 126}, {73, 113}, {74, 114}, {73, 114}, {74, 113}, {66, 126}, {67, 126}, {80, 109}, {79, 114}, {67, 125}, {66, 125}, {35, 99}, {36, 100}, {49, 113}, {31, 94}, {40, 105}, {49, 112}, {31, 93}, {40, 106}, {50, 112}, {44, 111}, {50, 113}, {43, 111}, {50, 118}, {51, 119}, {50, 119}, {51, 118}, {62, 120}, {35, 100}, {63, 120}, {36, 99}, {52, 124}, {63, 119}, {52, 125}, {62, 119}, {47, 101}, {47, 100}, {16, 92}, {17, 93}, {16, 93}, {39, 106}, {17, 92}, {39, 105}, {51, 125}, {51, 124}, {33, 117}, {48, 100}, {32, 117}, {48, 101}, {32, 118}, {33, 118}, {36, 124}, {2, 91}, {37, 124}, {1, 91}, {48, 106}, {49, 107}, {43, 112}, {48, 107}, {49, 106}, {44, 112}, {1, 92}, {61, 96}, {2, 92}, {62, 96}, {37, 123}, {36, 123}, {13, 109}, {21, 117}, {20, 116}, {14, 110}, {9, 104}, {62, 95}, {21, 116}, {20, 117}, {10, 104}, {61, 95}, {13, 110}, {14, 109}, {5, 97}, {6, 98}, {5, 98}, {6, 97}, {22, 122}, {10, 103}, {22, 123}, {9, 103}, {21, 123}, {21, 122}, {3, 115}, {18, 98}, {46, 94}, {47, 95}, {2, 115}, {18, 99}, {46, 95}, {47, 94}, {17, 99}, {17, 98}, {11, 127}, {10, 127}, {2, 116}, {3, 116}, {18, 104}, {20, 110}, {19, 105}, {18, 105}, {20, 111}, {19, 104}, {6, 122}, {19, 111}, {7, 122}, {32, 93}, {19, 110}, {7, 121}, {32, 94}, {6, 121}, {31, 159}, {26, 152}, {28, 158}, {27, 153}, {26, 153}, {28, 159}, {27, 152}, {27, 159}, {34, 166}, {27, 158}, {35, 166}, {35, 165}, {34, 165}, {3, 139}, {26, 146}, {14, 134}, {4, 140}, {15, 134}, {26, 147}, {10, 128}, {38, 172}, {25, 147}, {15, 133}, {11, 128}, {39, 172}, {25, 146}, {14, 133}, {39, 171}, {38, 171}, {45, 160}, {60, 178}, {3, 140}, {4, 139}, {60, 179}, {23, 135}, {60, 172}, {15, 158}, {23, 134}, {60, 173}, {15, 157}, {11, 152}, {12, 152}, {25, 141}, {24, 140}, {7, 146}, {25, 140}, {24, 141}, {7, 145}, {23, 129}, {22, 128}, {59, 173}, {22, 129}, {23, 128}, {59, 172}, {42, 178}, {57, 161}, {8, 145}, {43, 178}, {57, 160}, {8, 146}, {43, 177}, {58, 160}, {12, 151}, {42, 177}, {58, 161}, {1, 157}, {61, 161}, {11, 151}, {46, 178}, {58, 166}, {59, 167}, {46, 179}, {58, 167}, {59, 166}, {24, 134}, {1, 158}, {61, 162}, {24, 135}, {4, 164}, {16, 176}, {9, 169}, {5, 164}, {16, 177}, {8, 169}, {8, 170}, {13, 175}, {55, 149}, {56, 154}, {57, 155}, {9, 170}, {12, 175}, {55, 148}, {56, 155}, {57, 154}, {44, 136}, {45, 136}, {5, 163}, {4, 163}, {41, 129}, {40, 129}, {40, 130}, {45, 135}, {41, 130}, {44, 135}, {33, 141}, {34, 142}, {56, 148}, {56, 149}, {30, 176}, {30, 177}, {63, 144}, {34, 141}, {33, 142}, {41, 153}, {63, 143}, {42, 154}, {37, 148}, {38, 148}, {45, 159}, {41, 154}, {42, 153}, {30, 170}, {30, 171}, {38, 147}, {29, 171}, {37, 147}, {52, 130}, {53, 131}, {29, 170}, {52, 131}, {53, 130}, {28, 164}, {29, 165}, {54, 142}, {55, 143}, {28, 165}, {29, 164}, {54, 143}, {55, 142}, {12, 176}, {53, 137}, {13, 176}, {53, 136}, {54, 136}, {31, 160}, {54, 137}, {74, 138}, {87, 151}, {86, 150}, {75, 138}, {86, 151}, {70, 132}, {75, 137}, {71, 132}, {85, 150}, {74, 137}, {71, 131}, {85, 145}, {84, 144}, {70, 131}, {88, 157}, {85, 144}, {86, 145}, {86, 156}, {87, 157}, {87, 156}, {64, 143}, {64, 144}, {68, 149}, {84, 133}, {68, 150}, {72, 155}, {72, 156}, {67, 150}, {67, 149}, {83, 133}, {82, 132}, {83, 132}, {83, 138}, {71, 156}, {71, 155}, {84, 138}, {85, 139}, {84, 139}, {76, 175}, {65, 167}, {64, 167}, {64, 168}, {69, 173}, {65, 168}, {75, 162}, {68, 173}, {68, 174}, {75, 161}, {69, 174}, {90, 180}, {88, 168}, {89, 169}, {89, 168}, {90, 169}, {90, 174}, {87, 162}, {90, 175}, {89, 174}, {76, 180}, {73, 179}, {89, 163}, {88, 162}, {72, 179}, {88, 163}, {72, 180}, {73, 180} }>;

(II) A more general form is to represent the graph as the orbit of {77, 91} under the group generated by the following permutations:

a: (2, 15)(3, 14)(4, 13)(5, 12)(6, 11)(7, 10)(8, 9)(16, 28)(17, 27)(18, 26)(19, 25)(20, 24)(21, 23)(29, 30)(32, 45)(33, 44)(34, 43)(35, 42)(36, 41)(37, 40)(38, 39)(46, 58)(47, 57)(48, 56)(49, 55)(50, 54)(51, 53)(59, 60)(62, 75)(63, 74)(64, 73)(65, 72)(66, 71)(67, 70)(68, 69)(76, 88)(77, 87)(78, 86)(79, 85)(80, 84)(81, 83)(89, 90)(91, 157)(92, 158)(93, 159)(94, 160)(95, 161)(96, 162)(97, 151)(98, 152)(99, 153)(100, 154)(101, 155)(102, 156)(103, 145)(104, 146)(105, 147)(106, 148)(107, 149)(108, 150)(109, 139)(110, 140)(111, 141)(112, 142)(113, 143)(114, 144)(115, 133)(116, 134)(117, 135)(118, 136)(119, 137)(120, 138)(121, 127)(122, 128)(123, 129)(124, 130)(125, 131)(126, 132)(163, 175)(164, 176)(165, 177)(166, 178)(167, 179)(168, 180)
b: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15)(16, 20, 24, 28, 17, 21, 25, 29, 18, 22, 26, 30, 19, 23, 27)(31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45)(46, 50, 54, 58, 47, 51, 55, 59, 48, 52, 56, 60, 49, 53, 57)(61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75)(76, 80, 84, 88, 77, 81, 85, 89, 78, 82, 86, 90, 79, 83, 87)(91, 115, 139, 163, 97, 121, 145, 169, 103, 127, 151, 175, 109, 133, 157)(92, 116, 140, 164, 98, 122, 146, 170, 104, 128, 152, 176, 110, 134, 158)(93, 117, 141, 165, 99, 123, 147, 171, 105, 129, 153, 177, 111, 135, 159)(94, 118, 142, 166, 100, 124, 148, 172, 106, 130, 154, 178, 112, 136, 160)(95, 119, 143, 167, 101, 125, 149, 173, 107, 131, 155, 179, 113, 137, 161)(96, 120, 144, 168, 102, 126, 150, 174, 108, 132, 156, 180, 114, 138, 162)
c: (16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 61)(32, 62)(33, 63)(34, 64)(35, 65)(36, 66)(37, 67)(38, 68)(39, 69)(40, 70)(41, 71)(42, 72)(43, 73)(44, 74)(45, 75)(91, 92)(93, 96)(94, 95)(97, 98)(99, 102)(100, 101)(103, 104)(105, 108)(106, 107)(109, 110)(111, 114)(112, 113)(115, 116)(117, 120)(118, 119)(121, 122)(123, 126)(124, 125)(127, 128)(129, 132)(130, 131)(133, 134)(135, 138)(136, 137)(139, 140)(141, 144)(142, 143)(145, 146)(147, 150)(148, 149)(151, 152)(153, 156)(154, 155)(157, 158)(159, 162)(160, 161)(163, 164)(165, 168)(166, 167)(169, 170)(171, 174)(172, 173)(175, 176)(177, 180)(178, 179)
d: (1, 16, 43, 49, 70, 82, 7, 25, 34, 58, 61, 76, 13, 19, 40, 52, 67, 85, 4, 28, 31, 46, 73, 79, 10, 22, 37, 55, 64, 88)(2, 30, 44, 48, 71, 81, 8, 24, 35, 57, 62, 90, 14, 18, 41, 51, 68, 84, 5, 27, 32, 60, 74, 78, 11, 21, 38, 54, 65, 87)(3, 29, 45, 47, 72, 80, 9, 23, 36, 56, 63, 89, 15, 17, 42, 50, 69, 83, 6, 26, 33, 59, 75, 77, 12, 20, 39, 53, 66, 86)(91, 176, 111, 106, 131, 126, 145, 140, 165, 160, 95, 180, 109, 104, 129, 124, 149, 144, 163, 158, 93, 178, 113, 108, 127, 122, 147, 142, 167, 162)(92, 177, 112, 107, 132, 121, 146, 141, 166, 161, 96, 175, 110, 105, 130, 125, 150, 139, 164, 159, 94, 179, 114, 103, 128, 123, 148, 143, 168, 157)(97, 152, 117, 172, 137, 102, 151, 116, 171, 136, 101, 156, 115, 170, 135, 100, 155, 120, 169, 134, 99, 154, 119, 174, 133, 98, 153, 118, 173, 138)

(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[ 180, 15 ]
180
-1 91 157 92 158
-2 91 92 115 116
-3 115 116 139 140
-4 139 140 163 164
-5 97 163 98 164
-6 121 122 97 98
-7 121 122 145 146
-8 145 146 169 170
-9 103 169 104 170
-10 103 104 127 128
-11 127 128 151 152
-12 176 151 152 175
-13 110 176 109 175
-14 110 133 134 109
-15 133 134 157 158
-16 176 177 92 93
-17 99 92 93 98
-18 99 104 105 98
-19 110 111 104 105
-20 110 111 116 117
-21 122 123 116 117
-22 122 123 128 129
-23 134 135 128 129
-24 134 135 140 141
-25 146 147 140 141
-26 146 147 152 153
-27 158 159 152 153
-28 165 158 159 164
-29 165 170 171 164
-30 176 177 170 171
-31 93 159 94 160
-32 93 94 117 118
-33 117 118 141 142
-34 165 166 141 142
-35 99 165 100 166
-36 99 100 123 124
-37 123 124 147 148
-38 147 148 171 172
-39 105 171 106 172
-40 105 106 129 130
-41 154 129 130 153
-42 154 177 178 153
-43 111 177 112 178
-44 111 112 135 136
-45 135 136 159 160
-46 178 179 94 95
-47 100 101 94 95
-48 100 101 106 107
-49 112 113 106 107
-50 112 113 118 119
-51 124 125 118 119
-52 124 125 130 131
-53 136 137 130 131
-54 143 136 137 142
-55 143 148 149 142
-56 154 155 148 149
-57 154 155 160 161
-58 166 167 160 161
-59 166 167 172 173
-60 178 179 172 173
-61 95 161 96 162
-62 95 96 119 120
-63 143 144 119 120
-64 143 144 167 168
-65 101 167 102 168
-66 101 102 125 126
-67 125 126 149 150
-68 149 150 173 174
-69 107 173 108 174
-70 132 107 108 131
-71 132 155 156 131
-72 155 156 179 180
-73 113 179 114 180
-74 113 114 137 138
-75 137 138 161 162
-76 91 180 96 175
-77 91 102 96 97
-78 102 103 97 108
-79 103 114 108 109
-80 114 115 109 120
-81 121 115 126 120
-82 121 132 126 127
-83 132 133 127 138
-84 133 144 138 139
-85 144 145 139 150
-86 145 156 150 151
-87 156 157 151 162
-88 157 168 162 163
-89 168 169 163 174
-90 169 180 174 175
-91 77 1 2 76
-92 1 2 16 17
-93 16 17 31 32
-94 46 47 31 32
-95 46 47 61 62
-96 77 61 62 76
-97 77 78 5 6
-98 5 6 17 18
-99 35 36 17 18
-100 35 36 47 48
-101 66 47 48 65
-102 66 77 78 65
-103 78 79 9 10
-104 18 19 9 10
-105 39 18 40 19
-106 48 49 39 40
-107 69 48 70 49
-108 78 79 69 70
-109 13 79 14 80
-110 13 14 19 20
-111 44 19 20 43
-112 44 49 50 43
-113 49 50 73 74
-114 79 80 73 74
-115 2 3 80 81
-116 2 3 20 21
-117 33 20 21 32
-118 33 50 51 32
-119 50 51 62 63
-120 80 81 62 63
-121 81 82 6 7
-122 22 6 7 21
-123 22 36 37 21
-124 36 37 51 52
-125 66 67 51 52
-126 66 67 81 82
-127 11 82 83 10
-128 11 22 23 10
-129 22 23 40 41
-130 40 41 52 53
-131 70 71 52 53
-132 70 71 82 83
-133 14 15 83 84
-134 23 24 14 15
-135 44 23 45 24
-136 44 45 53 54
-137 74 53 75 54
-138 83 84 74 75
-139 3 4 84 85
-140 24 3 25 4
-141 33 34 24 25
-142 33 55 34 54
-143 55 63 64 54
-144 84 63 85 64
-145 7 8 85 86
-146 25 26 7 8
-147 25 26 37 38
-148 55 56 37 38
-149 55 56 67 68
-150 67 68 85 86
-151 11 12 86 87
-152 11 12 26 27
-153 26 27 41 42
-154 56 57 41 42
-155 56 57 71 72
-156 71 72 86 87
-157 88 1 15 87
-158 1 15 27 28
-159 45 27 28 31
-160 45 57 58 31
-161 57 58 61 75
-162 88 61 75 87
-163 88 89 4 5
-164 4 5 28 29
-165 34 35 28 29
-166 34 35 58 59
-167 58 59 64 65
-168 88 89 64 65
-169 89 90 8 9
-170 29 8 30 9
-171 38 39 29 30
-172 59 38 60 39
-173 68 69 59 60
-174 89 68 90 69
-175 12 13 90 76
-176 12 13 16 30
-177 16 30 42 43
-178 46 60 42 43
-179 46 60 72 73
-180 90 72 73 76
0

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