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On this page are computer-accessible forms for the graph C4[ 62, 1 ] = W(31,2).

(I) Following is a form readable by MAGMA:

g:=Graph<62|{ {2, 3}, {60, 61}, {58, 59}, {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}, {30, 31}, {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}, {1, 2}, {61, 62}, {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}, {59, 60}, {51, 52}, {43, 44}, {35, 36}, {11, 12}, {19, 20}, {27, 28}, {7, 8}, {55, 56}, {39, 40}, {23, 24}, {1, 31}, {32, 62}, {15, 16}, {47, 48}, {1, 33}, {30, 62}, {29, 61}, {17, 49}, {16, 48}, {15, 47}, {14, 46}, {13, 45}, {12, 44}, {2, 34}, {3, 35}, {4, 36}, {5, 37}, {6, 38}, {7, 39}, {8, 40}, {9, 41}, {10, 42}, {11, 43}, {18, 50}, {19, 51}, {20, 52}, {21, 53}, {22, 54}, {23, 55}, {24, 56}, {25, 57}, {26, 58}, {27, 59}, {28, 60}, {2, 32}, {31, 61}, {30, 60}, {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, 34}, {29, 59}, {13, 43}, {12, 42}, {5, 35}, {20, 50}, {21, 51}, {28, 58}, {8, 38}, {9, 39}, {24, 54}, {25, 55}, {16, 46}, {17, 47}, {1, 62}, {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: (13, 44)
b: (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)
c: (5, 36)
d: (9, 40)
e: (2, 31)(3, 30)(4, 29)(5, 28)(6, 27)(7, 26)(8, 25)(9, 24)(10, 23)(11, 22)(12, 21)(13, 20)(14, 19)(15, 18)(16, 17)(33, 62)(34, 61)(35, 60)(36, 59)(37, 58)(38, 57)(39, 56)(40, 55)(41, 54)(42, 53)(43, 52)(44, 51)(45, 50)(46, 49)(47, 48)
f: (21, 52)
g: (29, 60)
h: (25, 56)
m: (30, 61)
n1: (11, 42)
a1: (22, 53)
b1: (10, 41)
c1: (23, 54)
d1: (24, 55)
e1: (8, 39)
f1: (3, 34)
g1: (4, 35)
h1: (28, 59)
m1: (27, 58)
n2: (6, 37)
a2: (26, 57)
b2: (7, 38)
c2: (12, 43)
d2: (20, 51)
e2: (19, 50)
f2: (14, 45)
g2: (18, 49)
h2: (16, 47)
m2: (31, 62)
n3: (2, 33)
a3: (17, 48)

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

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