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On this page are computer-accessible forms for the graph C4[ 74, 1 ] = W(37,2).

(I) Following is a form readable by MAGMA:

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

(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.

**************

&Graph
C4[ 74, 1 ]
74
-1 2 37 39 74
-2 1 3 38 40
-3 2 4 39 41
-4 3 5 40 42
-5 4 6 41 43
-6 44 5 7 42
-7 45 6 8 43
-8 44 46 7 9
-9 45 47 8 10
-10 11 46 48 9
-11 12 47 49 10
-12 11 13 48 50
-13 12 14 49 51
-14 13 15 50 52
-15 14 16 51 53
-16 15 17 52 54
-17 55 16 18 53
-18 56 17 19 54
-19 55 57 18 20
-20 56 58 19 21
-21 22 57 59 20
-22 23 58 60 21
-23 22 24 59 61
-24 23 25 60 62
-25 24 26 61 63
-26 25 27 62 64
-27 26 28 63 65
-28 66 27 29 64
-29 67 28 30 65
-30 66 68 29 31
-31 67 69 30 32
-32 33 68 70 31
-33 34 69 71 32
-34 33 35 70 72
-35 34 36 71 73
-36 35 37 72 74
-37 1 36 38 73
-38 2 37 39 74
-39 1 3 38 40
-40 2 4 39 41
-41 3 5 40 42
-42 4 6 41 43
-43 44 5 7 42
-44 45 6 8 43
-45 44 46 7 9
-46 45 47 8 10
-47 11 46 48 9
-48 12 47 49 10
-49 11 13 48 50
-50 12 14 49 51
-51 13 15 50 52
-52 14 16 51 53
-53 15 17 52 54
-54 55 16 18 53
-55 56 17 19 54
-56 55 57 18 20
-57 56 58 19 21
-58 22 57 59 20
-59 23 58 60 21
-60 22 24 59 61
-61 23 25 60 62
-62 24 26 61 63
-63 25 27 62 64
-64 26 28 63 65
-65 66 27 29 64
-66 67 28 30 65
-67 66 68 29 31
-68 67 69 30 32
-69 33 68 70 31
-70 34 69 71 32
-71 33 35 70 72
-72 34 36 71 73
-73 35 37 72 74
-74 1 36 38 73
0

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