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On this page are computer-accessible forms for the graph C4[ 74, 2 ] = C_74(1,31).

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

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

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