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On this page are computer-accessible forms for the graph C4[ 178, 1 ] = W(89,2).

(I) Following is a form readable by MAGMA:

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

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

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

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