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On this page are computer-accessible forms for the graph C4[ 57, 1 ] = C_57(1,20).

(I) Following is a form readable by MAGMA:

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

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

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