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On this page are computer-accessible forms for the graph C4[ 70, 1 ] = W(35,2).

(I) Following is a form readable by MAGMA:

g:=Graph<70|{ {2, 3}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {22, 23}, {20, 21}, {18, 19}, {16, 17}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35}, {36, 37}, {38, 39}, {40, 41}, {42, 43}, {44, 45}, {46, 47}, {1, 2}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {49, 50}, {21, 22}, {17, 18}, {5, 6}, {9, 10}, {13, 14}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {3, 4}, {67, 68}, {59, 60}, {51, 52}, {19, 20}, {11, 12}, {27, 28}, {35, 36}, {43, 44}, {7, 8}, {55, 56}, {23, 24}, {39, 40}, {15, 16}, {47, 48}, {1, 35}, {21, 55}, {20, 54}, {17, 51}, {16, 50}, {4, 38}, {5, 39}, {8, 42}, {9, 43}, {12, 46}, {13, 47}, {24, 58}, {25, 59}, {28, 62}, {29, 63}, {1, 37}, {19, 55}, {18, 54}, {17, 53}, {16, 52}, {2, 38}, {3, 39}, {8, 44}, {9, 45}, {10, 46}, {11, 47}, {24, 60}, {25, 61}, {26, 62}, {27, 63}, {2, 36}, {19, 53}, {18, 52}, {3, 37}, {10, 44}, {11, 45}, {26, 60}, {27, 61}, {4, 40}, {22, 58}, {21, 57}, {20, 56}, {5, 41}, {6, 42}, {7, 43}, {23, 59}, {6, 40}, {22, 56}, {7, 41}, {23, 57}, {12, 48}, {15, 51}, {13, 49}, {14, 50}, {14, 48}, {15, 49}, {31, 32}, {1, 70}, {28, 64}, {29, 65}, {30, 66}, {31, 67}, {30, 64}, {31, 65}, {32, 66}, {33, 67}, {36, 70}, {32, 68}, {33, 69}, {34, 70}, {34, 68}, {35, 69}, {63, 64} }>;

(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: (27, 62)
b: (16, 51)
c: (31, 66)
d: (18, 53)
e: (33, 68)
f: (13, 48)
g: (25, 60)
h: (9, 44)
m: (29, 64)
n1: (5, 40)
a1: (21, 56)
b1: (15, 50)
c1: (12, 47)
d1: (22, 57)
e1: (30, 65)
f1: (7, 42)
g1: (4, 39)
h1: (8, 43)
m1: (14, 49)
n2: (20, 55)
a2: (2, 37)
b2: (34, 69)
c2: (24, 59)
d2: (11, 46)
e2: (28, 63)
f2: (35, 70)
g2: (6, 41)
h2: (19, 54)
m2: (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)
n3: (26, 61)
a3: (23, 58)
b3: (3, 38)
c3: (32, 67)
d3: (10, 45)
e3: (2, 35)(3, 34)(4, 33)(5, 32)(6, 31)(7, 30)(8, 29)(9, 28)(10, 27)(11, 26)(12, 25)(13, 24)(14, 23)(15, 22)(16, 21)(17, 20)(18, 19)(37, 70)(38, 69)(39, 68)(40, 67)(41, 66)(42, 65)(43, 64)(44, 63)(45, 62)(46, 61)(47, 60)(48, 59)(49, 58)(50, 57)(51, 56)(52, 55)(53, 54)

(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[ 70, 1 ]
70
-1 2 35 37 70
-2 1 3 36 38
-3 2 4 37 39
-4 3 5 38 40
-5 4 6 39 41
-6 5 7 40 42
-7 6 8 41 43
-8 44 7 9 42
-9 45 8 10 43
-10 11 44 46 9
-11 12 45 47 10
-12 11 13 46 48
-13 12 14 47 49
-14 13 15 48 50
-15 14 16 49 51
-16 15 17 50 52
-17 16 18 51 53
-18 17 19 52 54
-19 55 18 20 53
-20 56 19 21 54
-21 22 55 57 20
-22 23 56 58 21
-23 22 24 57 59
-24 23 25 58 60
-25 24 26 59 61
-26 25 27 60 62
-27 26 28 61 63
-28 27 29 62 64
-29 28 30 63 65
-30 66 29 31 64
-31 67 30 32 65
-32 33 66 68 31
-33 34 67 69 32
-34 33 35 68 70
-35 1 34 36 69
-36 2 35 37 70
-37 1 3 36 38
-38 2 4 37 39
-39 3 5 38 40
-40 4 6 39 41
-41 5 7 40 42
-42 6 8 41 43
-43 44 7 9 42
-44 45 8 10 43
-45 11 44 46 9
-46 12 45 47 10
-47 11 13 46 48
-48 12 14 47 49
-49 13 15 48 50
-50 14 16 49 51
-51 15 17 50 52
-52 16 18 51 53
-53 17 19 52 54
-54 55 18 20 53
-55 56 19 21 54
-56 22 55 57 20
-57 23 56 58 21
-58 22 24 57 59
-59 23 25 58 60
-60 24 26 59 61
-61 25 27 60 62
-62 26 28 61 63
-63 27 29 62 64
-64 28 30 63 65
-65 66 29 31 64
-66 67 30 32 65
-67 33 66 68 31
-68 34 67 69 32
-69 33 35 68 70
-70 1 34 36 69
0

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