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On this page are computer-accessible forms for the graph C4[ 76, 1 ] = W(38,2).

(I) Following is a form readable by MAGMA:

g:=Graph<76|{ {2, 3}, {74, 75}, {72, 73}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {24, 25}, {22, 23}, {20, 21}, {18, 19}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35}, {36, 37}, {38, 39}, {40, 41}, {42, 43}, {44, 45}, {46, 47}, {1, 2}, {73, 74}, {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}, {75, 76}, {67, 68}, {59, 60}, {51, 52}, {19, 20}, {11, 12}, {27, 28}, {35, 36}, {43, 44}, {7, 8}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {15, 16}, {47, 48}, {2, 39}, {18, 55}, {16, 53}, {8, 45}, {10, 47}, {24, 61}, {26, 63}, {1, 38}, {17, 54}, {16, 55}, {8, 47}, {9, 46}, {24, 63}, {25, 62}, {1, 40}, {23, 62}, {21, 60}, {19, 58}, {17, 56}, {3, 42}, {5, 44}, {7, 46}, {2, 41}, {23, 60}, {22, 61}, {19, 56}, {18, 57}, {3, 40}, {6, 45}, {7, 44}, {4, 41}, {22, 59}, {20, 57}, {6, 43}, {4, 43}, {21, 58}, {20, 59}, {5, 42}, {9, 48}, {11, 50}, {13, 52}, {15, 54}, {10, 49}, {11, 48}, {14, 53}, {15, 52}, {12, 49}, {14, 51}, {12, 51}, {13, 50}, {31, 32}, {1, 76}, {25, 64}, {27, 66}, {29, 68}, {31, 70}, {26, 65}, {27, 64}, {30, 69}, {31, 68}, {28, 65}, {30, 67}, {28, 67}, {29, 66}, {32, 69}, {34, 71}, {32, 71}, {33, 70}, {33, 72}, {35, 74}, {37, 76}, {34, 73}, {35, 72}, {39, 76}, {36, 73}, {38, 75}, {36, 75}, {37, 74}, {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: (9, 47)
b: (28, 66)
c: (33, 71)
d: (19, 57)
e: (37, 75)
f: (38, 76)
g: (10, 48)
h: (27, 65)
m: (13, 51)
n1: (29, 67)
a1: (21, 59)
b1: (2, 38)(3, 37)(4, 36)(5, 35)(6, 34)(7, 33)(8, 32)(9, 31)(10, 30)(11, 29)(12, 28)(13, 27)(14, 26)(15, 25)(16, 24)(17, 23)(18, 22)(19, 21)(40, 76)(41, 75)(42, 74)(43, 73)(44, 72)(45, 71)(46, 70)(47, 69)(48, 68)(49, 67)(50, 66)(51, 65)(52, 64)(53, 63)(54, 62)(55, 61)(56, 60)(57, 59)
c1: (15, 53)
d1: (14, 52)
e1: (7, 45)
f1: (35, 73)
g1: (31, 69)
h1: (24, 62)
m1: (17, 55)
n2: (25, 63)
a2: (20, 58)
b2: (2, 40)
c2: (26, 64)
d2: (11, 49)
e2: (22, 60)
f2: (32, 70)
g2: (5, 43)
h2: (30, 68)
m2: (12, 50)
n3: (34, 72)
a3: (3, 41)
b3: (4, 42)
c3: (6, 44)
d3: (23, 61)
e3: (8, 46)
f3: (36, 74)
g3: (16, 54)
h3: (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, 71, 72, 73, 74, 75, 76)

(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[ 76, 1 ]
76
-1 2 38 40 76
-2 1 3 39 41
-3 2 4 40 42
-4 3 5 41 43
-5 44 4 6 42
-6 45 5 7 43
-7 44 46 6 8
-8 45 47 7 9
-9 46 48 8 10
-10 11 47 49 9
-11 12 48 50 10
-12 11 13 49 51
-13 12 14 50 52
-14 13 15 51 53
-15 14 16 52 54
-16 55 15 17 53
-17 56 16 18 54
-18 55 57 17 19
-19 56 58 18 20
-20 57 59 19 21
-21 22 58 60 20
-22 23 59 61 21
-23 22 24 60 62
-24 23 25 61 63
-25 24 26 62 64
-26 25 27 63 65
-27 66 26 28 64
-28 67 27 29 65
-29 66 68 28 30
-30 67 69 29 31
-31 68 70 30 32
-32 33 69 71 31
-33 34 70 72 32
-34 33 35 71 73
-35 34 36 72 74
-36 35 37 73 75
-37 36 38 74 76
-38 1 37 39 75
-39 2 38 40 76
-40 1 3 39 41
-41 2 4 40 42
-42 3 5 41 43
-43 44 4 6 42
-44 45 5 7 43
-45 44 46 6 8
-46 45 47 7 9
-47 46 48 8 10
-48 11 47 49 9
-49 12 48 50 10
-50 11 13 49 51
-51 12 14 50 52
-52 13 15 51 53
-53 14 16 52 54
-54 55 15 17 53
-55 56 16 18 54
-56 55 57 17 19
-57 56 58 18 20
-58 57 59 19 21
-59 22 58 60 20
-60 23 59 61 21
-61 22 24 60 62
-62 23 25 61 63
-63 24 26 62 64
-64 25 27 63 65
-65 66 26 28 64
-66 67 27 29 65
-67 66 68 28 30
-68 67 69 29 31
-69 68 70 30 32
-70 33 69 71 31
-71 34 70 72 32
-72 33 35 71 73
-73 34 36 72 74
-74 35 37 73 75
-75 36 38 74 76
-76 1 37 39 75
0

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