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On this page are computer-accessible forms for the graph C4[ 140, 1 ] = W(70,2).

(I) Following is a form readable by MAGMA:

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

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

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