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On this page are computer-accessible forms for the graph C4[ 170, 1 ] = W(85,2).

(I) Following is a form readable by MAGMA:

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

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

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