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On this page are computer-accessible forms for the graph C4[ 166, 1 ] = W(83,2).

(I) Following is a form readable by MAGMA:

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

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

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