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On this page are computer-accessible forms for the graph C4[ 180, 19 ] = PL(WH_30(3,0,7,13),[3^30,10^9]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {89, 95} under the group generated by the following permutations:

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

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

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