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On this page are computer-accessible forms for the graph C4[ 42, 1 ] = W(21,2).

(I) Following is a form readable by MAGMA:

g:=Graph<42|{ {2, 3}, {40, 41}, {38, 39}, {36, 37}, {34, 35}, {14, 15}, {12, 13}, {10, 11}, {4, 5}, {6, 7}, {8, 9}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {1, 2}, {41, 42}, {37, 38}, {33, 34}, {13, 14}, {5, 6}, {9, 10}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {3, 4}, {35, 36}, {11, 12}, {19, 20}, {27, 28}, {7, 8}, {39, 40}, {23, 24}, {1, 21}, {11, 31}, {10, 30}, {2, 22}, {3, 23}, {8, 28}, {9, 29}, {1, 23}, {9, 31}, {8, 30}, {2, 24}, {3, 25}, {6, 28}, {7, 29}, {4, 24}, {5, 25}, {6, 26}, {7, 27}, {4, 26}, {5, 27}, {15, 16}, {10, 32}, {14, 36}, {11, 33}, {15, 37}, {1, 42}, {12, 32}, {15, 35}, {14, 34}, {13, 33}, {12, 34}, {13, 35}, {16, 36}, {17, 37}, {18, 38}, {19, 39}, {16, 38}, {17, 39}, {18, 40}, {19, 41}, {20, 40}, {21, 41}, {22, 42}, {20, 42}, {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: (9, 30)
b: (11, 32)
c: (8, 29)
d: (16, 37)
e: (13, 34)
f: (18, 39)
g: (3, 24)
h: (7, 28)
m: (17, 38)
n1: (6, 27)
a1: (14, 35)
b1: (12, 33)
c1: (19, 40)
d1: (2, 21)(3, 20)(4, 19)(5, 18)(6, 17)(7, 16)(8, 15)(9, 14)(10, 13)(11, 12)(23, 42)(24, 41)(25, 40)(26, 39)(27, 38)(28, 37)(29, 36)(30, 35)(31, 34)(32, 33)
e1: (5, 26)
f1: (21, 42)
g1: (2, 23)
h1: (15, 36)
m1: (20, 41)
n2: (4, 25)
a2: (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)

(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[ 42, 1 ]
42
-1 23 2 42 21
-2 22 1 24 3
-3 23 2 25 4
-4 24 3 26 5
-5 25 4 27 6
-6 26 5 28 7
-7 27 6 29 8
-8 28 7 30 9
-9 29 8 31 10
-10 11 30 9 32
-11 33 12 31 10
-12 11 34 13 32
-13 33 12 35 14
-14 34 13 36 15
-15 35 14 37 16
-16 36 15 38 17
-17 37 16 39 18
-18 38 17 40 19
-19 39 18 41 20
-20 40 19 42 21
-21 22 1 41 20
-22 23 2 42 21
-23 22 1 24 3
-24 23 2 25 4
-25 24 3 26 5
-26 25 4 27 6
-27 26 5 28 7
-28 27 6 29 8
-29 28 7 30 9
-30 29 8 31 10
-31 11 30 9 32
-32 33 12 31 10
-33 11 34 13 32
-34 33 12 35 14
-35 34 13 36 15
-36 35 14 37 16
-37 36 15 38 17
-38 37 16 39 18
-39 38 17 40 19
-40 39 18 41 20
-41 40 19 42 21
-42 22 1 41 20
0

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