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On this page are computer-accessible forms for the graph C4[ 34, 1 ] = W(17,2).

(I) Following is a form readable by MAGMA:

g:=Graph<34|{ {2, 3}, {32, 33}, {30, 31}, {28, 29}, {26, 27}, {24, 25}, {22, 23}, {20, 21}, {18, 19}, {16, 17}, {14, 15}, {8, 9}, {6, 7}, {4, 5}, {10, 11}, {12, 13}, {1, 2}, {33, 34}, {29, 30}, {25, 26}, {21, 22}, {17, 18}, {9, 10}, {5, 6}, {13, 14}, {3, 4}, {27, 28}, {19, 20}, {11, 12}, {7, 8}, {23, 24}, {1, 17}, {15, 31}, {14, 30}, {8, 24}, {7, 23}, {6, 22}, {5, 21}, {4, 20}, {3, 19}, {2, 18}, {9, 25}, {10, 26}, {11, 27}, {12, 28}, {13, 29}, {1, 19}, {8, 26}, {5, 23}, {4, 22}, {9, 27}, {12, 30}, {13, 31}, {2, 20}, {3, 21}, {10, 28}, {11, 29}, {6, 24}, {7, 25}, {15, 16}, {1, 34}, {14, 32}, {15, 33}, {16, 32}, {18, 34}, {17, 33}, {16, 34}, {31, 32} }>;

(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: (5, 22)
b: (6, 23)
c: (17, 34)
d: (2, 19)
e: (7, 24)
f: (2, 17)(3, 16)(4, 15)(5, 14)(6, 13)(7, 12)(8, 11)(9, 10)(19, 34)(20, 33)(21, 32)(22, 31)(23, 30)(24, 29)(25, 28)(26, 27)
g: (11, 28)
h: (13, 30)
m: (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)
n1: (12, 29)
a1: (3, 20)
b1: (14, 31)
c1: (4, 21)
d1: (15, 32)
e1: (10, 27)
f1: (9, 26)
g1: (16, 33)

(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[ 34, 1 ]
34
-1 34 2 17 19
-2 1 3 18 20
-3 2 4 19 21
-4 22 3 5 20
-5 23 4 6 21
-6 22 24 5 7
-7 23 25 6 8
-8 24 26 7 9
-9 25 27 8 10
-10 11 26 28 9
-11 12 27 29 10
-12 11 13 28 30
-13 12 14 29 31
-14 13 15 30 32
-15 33 14 16 31
-16 34 15 17 32
-17 33 1 16 18
-18 34 2 17 19
-19 1 3 18 20
-20 2 4 19 21
-21 22 3 5 20
-22 23 4 6 21
-23 22 24 5 7
-24 23 25 6 8
-25 24 26 7 9
-26 25 27 8 10
-27 11 26 28 9
-28 12 27 29 10
-29 11 13 28 30
-30 12 14 29 31
-31 13 15 30 32
-32 33 14 16 31
-33 34 15 17 32
-34 33 1 16 18
0

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