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On this page are computer-accessible forms for the graph C4[ 180, 1 ] = W(90,2).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

a: (73, 163)
b: (55, 145)
c: (15, 105)
d: (30, 120)
e: (80, 170)
f: (12, 102)
g: (14, 104)
h: (67, 157)
m: (59, 149)
n1: (20, 110)
a1: (5, 95)
b1: (56, 146)
c1: (88, 178)
d1: (62, 152)
e1: (77, 167)
f1: (36, 126)
g1: (82, 172)
h1: (69, 159)
m1: (8, 98)
n2: (74, 164)
a2: (43, 133)
b2: (16, 106)
c2: (3, 93)
d2: (19, 109)
e2: (64, 154)
f2: (90, 180)
g2: (10, 100)
h2: (51, 141)
m2: (52, 142)
n3: (17, 107)
a3: (18, 108)
b3: (54, 144)
c3: (13, 103)
d3: (21, 111)
e3: (75, 165)
f3: (42, 132)
g3: (76, 166)
h3: (50, 140)
m3: (25, 115)
n4: (39, 129)
a4: (41, 131)
b4: (79, 169)
c4: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90)(91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180)
d4: (2, 90)(3, 89)(4, 88)(5, 87)(6, 86)(7, 85)(8, 84)(9, 83)(10, 82)(11, 81)(12, 80)(13, 79)(14, 78)(15, 77)(16, 76)(17, 75)(18, 74)(19, 73)(20, 72)(21, 71)(22, 70)(23, 69)(24, 68)(25, 67)(26, 66)(27, 65)(28, 64)(29, 63)(30, 62)(31, 61)(32, 60)(33, 59)(34, 58)(35, 57)(36, 56)(37, 55)(38, 54)(39, 53)(40, 52)(41, 51)(42, 50)(43, 49)(44, 48)(45, 47)(92, 180)(93, 179)(94, 178)(95, 177)(96, 176)(97, 175)(98, 174)(99, 173)(100, 172)(101, 171)(102, 170)(103, 169)(104, 168)(105, 167)(106, 166)(107, 165)(108, 164)(109, 163)(110, 162)(111, 161)(112, 160)(113, 159)(114, 158)(115, 157)(116, 156)(117, 155)(118, 154)(119, 153)(120, 152)(121, 151)(122, 150)(123, 149)(124, 148)(125, 147)(126, 146)(127, 145)(128, 144)(129, 143)(130, 142)(131, 141)(132, 140)(133, 139)(134, 138)(135, 137)
e4: (34, 124)
f4: (78, 168)
g4: (32, 122)
h4: (68, 158)
m4: (71, 161)
n5: (40, 130)
a5: (31, 121)
b5: (63, 153)
c5: (53, 143)
d5: (70, 160)
e5: (83, 173)
f5: (61, 151)
g5: (23, 113)
h5: (49, 139)
m5: (72, 162)
n6: (38, 128)
a6: (7, 97)
b6: (27, 117)
c6: (46, 136)
d6: (58, 148)
e6: (89, 179)
f6: (29, 119)
g6: (47, 137)
h6: (57, 147)
m6: (60, 150)
n7: (85, 175)
a7: (87, 177)
b7: (81, 171)
c7: (33, 123)
d7: (2, 92)
e7: (9, 99)
f7: (26, 116)
g7: (37, 127)
h7: (6, 96)
m7: (24, 114)
n8: (66, 156)
a8: (86, 176)
b8: (28, 118)
c8: (48, 138)
d8: (45, 135)
e8: (11, 101)
f8: (84, 174)
g8: (4, 94)
h8: (35, 125)
m8: (22, 112)
n9: (65, 155)

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

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