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On this page are computer-accessible forms for the graph C4[ 58, 1 ] = W(29,2).

(I) Following is a form readable by MAGMA:

g:=Graph<58|{ {2, 3}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {38, 39}, {36, 37}, {34, 35}, {32, 33}, {18, 19}, {16, 17}, {14, 15}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {1, 2}, {57, 58}, {53, 54}, {49, 50}, {45, 46}, {41, 42}, {37, 38}, {33, 34}, {17, 18}, {13, 14}, {5, 6}, {9, 10}, {21, 22}, {25, 26}, {29, 30}, {3, 4}, {51, 52}, {43, 44}, {35, 36}, {19, 20}, {11, 12}, {27, 28}, {7, 8}, {55, 56}, {39, 40}, {23, 24}, {1, 29}, {2, 30}, {3, 31}, {1, 31}, {15, 16}, {47, 48}, {2, 32}, {18, 48}, {15, 45}, {14, 44}, {3, 33}, {6, 36}, {7, 37}, {10, 40}, {11, 41}, {19, 49}, {22, 52}, {23, 53}, {26, 56}, {27, 57}, {4, 32}, {15, 43}, {14, 42}, {13, 41}, {5, 33}, {6, 34}, {7, 35}, {12, 40}, {20, 48}, {21, 49}, {22, 50}, {23, 51}, {28, 56}, {29, 57}, {30, 58}, {4, 34}, {13, 43}, {5, 35}, {12, 42}, {20, 50}, {21, 51}, {28, 58}, {8, 36}, {9, 37}, {10, 38}, {11, 39}, {24, 52}, {25, 53}, {26, 54}, {27, 55}, {8, 38}, {9, 39}, {24, 54}, {25, 55}, {1, 58}, {16, 44}, {19, 47}, {18, 46}, {17, 45}, {16, 46}, {17, 47}, {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: (28, 57)
b: (11, 40)
c: (26, 55)
d: (8, 37)
e: (22, 51)
f: (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)
g: (4, 33)
h: (10, 39)
m: (23, 52)
n1: (9, 38)
a1: (25, 54)
b1: (15, 44)
c1: (17, 46)
d1: (2, 31)
e1: (16, 45)
f1: (6, 35)
g1: (12, 41)
h1: (20, 49)
m1: (7, 36)
n2: (3, 32)
a2: (24, 53)
b2: (19, 48)
c2: (13, 42)
d2: (29, 58)
e2: (2, 29)(3, 28)(4, 27)(5, 26)(6, 25)(7, 24)(8, 23)(9, 22)(10, 21)(11, 20)(12, 19)(13, 18)(14, 17)(15, 16)(31, 58)(32, 57)(33, 56)(34, 55)(35, 54)(36, 53)(37, 52)(38, 51)(39, 50)(40, 49)(41, 48)(42, 47)(43, 46)(44, 45)
f2: (27, 56)
g2: (21, 50)
h2: (5, 34)
m2: (18, 47)

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

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