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On this page are computer-accessible forms for the graph C4[ 180, 17 ] = PL(MC3(6,15,1,4,11,0,1),[6^15,10^9]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {73, 95} under the group generated by the following permutations:

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

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

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