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On this page are computer-accessible forms for the graph C4[ 56, 3 ] = C_56(1,15).

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

(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.

**************

&Graph
C4[ 56, 3 ]
56
-1 56 2 16 42
-2 1 3 17 43
-3 44 2 4 18
-4 45 3 5 19
-5 46 4 6 20
-6 47 5 7 21
-7 22 48 6 8
-8 23 49 7 9
-9 24 50 8 10
-10 11 25 51 9
-11 12 26 52 10
-12 11 13 27 53
-13 12 14 28 54
-14 55 13 15 29
-15 56 14 16 30
-16 1 15 17 31
-17 2 16 18 32
-18 33 3 17 19
-19 34 4 18 20
-20 35 5 19 21
-21 22 36 6 20
-22 23 37 7 21
-23 22 24 38 8
-24 23 25 39 9
-25 24 26 40 10
-26 11 25 27 41
-27 12 26 28 42
-28 13 27 29 43
-29 44 14 28 30
-30 45 15 29 31
-31 46 16 30 32
-32 33 47 17 31
-33 34 48 18 32
-34 33 35 49 19
-35 34 36 50 20
-36 35 37 51 21
-37 22 36 38 52
-38 23 37 39 53
-39 24 38 40 54
-40 55 25 39 41
-41 56 26 40 42
-42 1 27 41 43
-43 44 2 28 42
-44 45 3 29 43
-45 44 46 4 30
-46 45 47 5 31
-47 46 48 6 32
-48 33 47 49 7
-49 34 48 50 8
-50 35 49 51 9
-51 36 50 52 10
-52 11 37 51 53
-53 12 38 52 54
-54 55 13 39 53
-55 56 14 40 54
-56 55 1 15 41
0

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