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On this page are computer-accessible forms for the graph C4[ 160, 1 ] = W(80,2).

(I) Following is a form readable by MAGMA:

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

(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.

**************

&Graph
C4[ 160, 1 ]
160
-1 2 80 82 160
-2 1 3 81 83
-3 2 4 82 84
-4 3 5 83 85
-5 4 6 84 86
-6 5 7 85 87
-7 88 6 8 86
-8 89 7 9 87
-9 88 90 8 10
-10 11 89 91 9
-11 12 90 92 10
-12 11 13 91 93
-13 12 14 92 94
-14 13 15 93 95
-15 14 16 94 96
-16 15 17 95 97
-17 16 18 96 98
-18 99 17 19 97
-19 100 18 20 98
-20 99 101 19 21
-21 22 100 102 20
-22 23 101 103 21
-23 22 24 102 104
-24 23 25 103 105
-25 24 26 104 106
-26 25 27 105 107
-27 26 28 106 108
-28 27 29 107 109
-29 110 28 30 108
-30 111 29 31 109
-31 110 112 30 32
-32 33 111 113 31
-33 34 112 114 32
-34 33 35 113 115
-35 34 36 114 116
-36 35 37 115 117
-37 36 38 116 118
-38 37 39 117 119
-39 38 40 118 120
-40 121 39 41 119
-41 122 40 42 120
-42 121 123 41 43
-43 44 122 124 42
-44 45 123 125 43
-45 44 46 124 126
-46 45 47 125 127
-47 46 48 126 128
-48 47 49 127 129
-49 48 50 128 130
-50 49 51 129 131
-51 132 50 52 130
-52 133 51 53 131
-53 132 134 52 54
-54 55 133 135 53
-55 56 134 136 54
-56 55 57 135 137
-57 56 58 136 138
-58 57 59 137 139
-59 58 60 138 140
-60 59 61 139 141
-61 60 62 140 142
-62 143 61 63 141
-63 144 62 64 142
-64 143 145 63 65
-65 66 144 146 64
-66 67 145 147 65
-67 66 68 146 148
-68 67 69 147 149
-69 68 70 148 150
-70 69 71 149 151
-71 70 72 150 152
-72 71 73 151 153
-73 154 72 74 152
-74 155 73 75 153
-75 154 156 74 76
-76 77 155 157 75
-77 78 156 158 76
-78 77 79 157 159
-79 78 80 158 160
-80 1 79 81 159
-81 2 80 82 160
-82 1 3 81 83
-83 2 4 82 84
-84 3 5 83 85
-85 4 6 84 86
-86 5 7 85 87
-87 88 6 8 86
-88 89 7 9 87
-89 88 90 8 10
-90 11 89 91 9
-91 12 90 92 10
-92 11 13 91 93
-93 12 14 92 94
-94 13 15 93 95
-95 14 16 94 96
-96 15 17 95 97
-97 16 18 96 98
-98 99 17 19 97
-99 100 18 20 98
-100 99 101 19 21
-101 22 100 102 20
-102 23 101 103 21
-103 22 24 102 104
-104 23 25 103 105
-105 24 26 104 106
-106 25 27 105 107
-107 26 28 106 108
-108 27 29 107 109
-109 110 28 30 108
-110 111 29 31 109
-111 110 112 30 32
-112 33 111 113 31
-113 34 112 114 32
-114 33 35 113 115
-115 34 36 114 116
-116 35 37 115 117
-117 36 38 116 118
-118 37 39 117 119
-119 38 40 118 120
-120 121 39 41 119
-121 122 40 42 120
-122 121 123 41 43
-123 44 122 124 42
-124 45 123 125 43
-125 44 46 124 126
-126 45 47 125 127
-127 46 48 126 128
-128 47 49 127 129
-129 48 50 128 130
-130 49 51 129 131
-131 132 50 52 130
-132 133 51 53 131
-133 132 134 52 54
-134 55 133 135 53
-135 56 134 136 54
-136 55 57 135 137
-137 56 58 136 138
-138 57 59 137 139
-139 58 60 138 140
-140 59 61 139 141
-141 60 62 140 142
-142 143 61 63 141
-143 144 62 64 142
-144 143 145 63 65
-145 66 144 146 64
-146 67 145 147 65
-147 66 68 146 148
-148 67 69 147 149
-149 68 70 148 150
-150 69 71 149 151
-151 70 72 150 152
-152 71 73 151 153
-153 154 72 74 152
-154 155 73 75 153
-155 154 156 74 76
-156 77 155 157 75
-157 78 156 158 76
-158 77 79 157 159
-159 78 80 158 160
-160 1 79 81 159
0

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