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On this page are computer-accessible forms for the graph C4[ 164, 1 ] = W(82,2).

(I) Following is a form readable by MAGMA:

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

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

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