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On this page are computer-accessible forms for the graph C4[ 60, 8 ] = Pr_20(1,13,17,9).

(I) Following is a form readable by MAGMA:

g:=Graph<60|{ {2, 3}, {18, 19}, {16, 17}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {1, 2}, {17, 18}, {5, 6}, {9, 10}, {13, 14}, {3, 4}, {19, 20}, {16, 23}, {11, 12}, {17, 24}, {50, 59}, {48, 57}, {19, 26}, {18, 25}, {49, 58}, {48, 59}, {49, 60}, {7, 8}, {51, 60}, {20, 27}, {32, 49}, {34, 51}, {36, 53}, {38, 55}, {40, 57}, {33, 50}, {37, 54}, {1, 21}, {2, 22}, {3, 23}, {8, 28}, {9, 29}, {10, 30}, {11, 31}, {32, 52}, {33, 53}, {34, 54}, {35, 55}, {40, 60}, {1, 20}, {47, 58}, {45, 56}, {35, 52}, {47, 56}, {46, 57}, {15, 22}, {46, 55}, {44, 53}, {42, 51}, {4, 31}, {45, 54}, {44, 55}, {14, 21}, {41, 50}, {4, 24}, {5, 25}, {6, 26}, {7, 27}, {36, 56}, {37, 57}, {38, 58}, {39, 59}, {1, 28}, {43, 54}, {41, 52}, {3, 30}, {2, 29}, {43, 52}, {42, 53}, {15, 16}, {39, 56}, {5, 32}, {7, 34}, {13, 40}, {6, 33}, {8, 35}, {12, 39}, {23, 60}, {12, 32}, {15, 35}, {14, 34}, {13, 33}, {28, 48}, {29, 49}, {30, 50}, {31, 51}, {9, 36}, {11, 38}, {22, 59}, {10, 37}, {21, 58}, {31, 48}, {24, 41}, {26, 43}, {28, 45}, {30, 47}, {25, 42}, {29, 46}, {16, 36}, {19, 39}, {18, 38}, {17, 37}, {24, 44}, {25, 45}, {26, 46}, {27, 47}, {27, 44}, {20, 40}, {22, 42}, {21, 41}, {23, 43} }>;

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

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

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