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On this page are computer-accessible forms for the graph C4[ 61, 1 ] = C_61(1,11).

(I) Following is a form readable by MAGMA:

g:=Graph<61|{ {2, 3}, {60, 61}, {58, 59}, {56, 57}, {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}, {57, 58}, {53, 54}, {49, 50}, {45, 46}, {21, 22}, {17, 18}, {5, 6}, {9, 10}, {13, 14}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {3, 4}, {59, 60}, {51, 52}, {43, 44}, {19, 20}, {11, 12}, {27, 28}, {35, 36}, {4, 15}, {48, 59}, {20, 31}, {16, 27}, {32, 43}, {36, 47}, {1, 12}, {49, 60}, {19, 30}, {17, 28}, {3, 14}, {33, 44}, {35, 46}, {2, 13}, {55, 56}, {50, 61}, {23, 24}, {18, 29}, {7, 8}, {34, 45}, {39, 40}, {5, 16}, {47, 58}, {45, 56}, {15, 26}, {7, 18}, {13, 24}, {37, 48}, {39, 50}, {6, 17}, {46, 57}, {14, 25}, {38, 49}, {8, 19}, {44, 55}, {12, 23}, {40, 51}, {9, 20}, {43, 54}, {11, 22}, {41, 52}, {10, 21}, {47, 48}, {42, 53}, {15, 16}, {1, 51}, {4, 54}, {5, 55}, {8, 58}, {9, 59}, {21, 32}, {23, 34}, {29, 40}, {31, 42}, {2, 52}, {3, 53}, {10, 60}, {11, 61}, {22, 33}, {30, 41}, {24, 35}, {28, 39}, {1, 61}, {25, 36}, {27, 38}, {6, 56}, {7, 57}, {26, 37}, {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: (2, 12, 61, 51)(3, 23, 60, 40)(4, 34, 59, 29)(5, 45, 58, 18)(6, 56, 57, 7)(8, 17, 55, 46)(9, 28, 54, 35)(10, 39, 53, 24)(11, 50, 52, 13)(14, 22, 49, 41)(15, 33, 48, 30)(16, 44, 47, 19)(20, 27, 43, 36)(21, 38, 42, 25)(26, 32, 37, 31)
b: (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, 58, 59, 60, 61)

(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[ 61, 1 ]
61
-1 12 2 61 51
-2 1 13 3 52
-3 2 14 4 53
-4 3 15 5 54
-5 55 4 16 6
-6 56 5 17 7
-7 57 6 18 8
-8 58 7 19 9
-9 59 8 20 10
-10 11 60 9 21
-11 22 12 61 10
-12 11 1 23 13
-13 12 2 24 14
-14 13 3 25 15
-15 14 4 26 16
-16 15 5 27 17
-17 16 6 28 18
-18 17 7 29 19
-19 18 8 30 20
-20 19 9 31 21
-21 22 20 10 32
-22 11 33 23 21
-23 22 12 34 24
-24 23 13 35 25
-25 24 14 36 26
-26 25 15 37 27
-27 26 16 38 28
-28 27 17 39 29
-29 28 18 40 30
-30 29 19 41 31
-31 30 20 42 32
-32 33 31 21 43
-33 22 44 34 32
-34 33 23 45 35
-35 34 24 46 36
-36 35 25 47 37
-37 36 26 48 38
-38 37 27 49 39
-39 38 28 50 40
-40 39 29 51 41
-41 40 30 52 42
-42 41 31 53 43
-43 44 42 32 54
-44 33 55 45 43
-45 44 34 56 46
-46 45 35 57 47
-47 46 36 58 48
-48 47 37 59 49
-49 48 38 60 50
-50 49 39 61 51
-51 1 50 40 52
-52 2 51 41 53
-53 3 52 42 54
-54 55 4 53 43
-55 44 56 5 54
-56 55 45 57 6
-57 56 46 58 7
-58 57 47 59 8
-59 58 48 60 9
-60 59 49 61 10
-61 11 1 60 50
0

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