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On this page are computer-accessible forms for the graph C4[ 180, 52 ] = SS[180,8].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {140, 141} under the group generated by the following permutations:

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

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

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