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On this page are computer-accessible forms for the graph C4[ 168, 1 ] = W(84,2).

(I) Following is a form readable by MAGMA:

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

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

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