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On this page are computer-accessible forms for the graph C4[ 60, 13 ] = L(F40).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

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

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

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