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On this page are computer-accessible forms for the graph C4[ 56, 2 ] = C_56(1,13).

(I) Following is a form readable by MAGMA:

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

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

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

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