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On this page are computer-accessible forms for the graph C4[ 180, 40 ] = UG(Rmap(360,29){10,4|8}_10).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {34, 35} under the group generated by the following permutations:

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

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