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On this page are computer-accessible forms for the graph C4[ 60, 18 ] = MG(Rmap(60,57){4,6|6}_10).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {24, 25} under the group generated by the following permutations:

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

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