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On this page are computer-accessible forms for the graph C4[ 65, 2 ] = C_65(1,14).

(I) Following is a form readable by MAGMA:

g:=Graph<65|{ {2, 3}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {30, 31}, {28, 29}, {26, 27}, {24, 25}, {22, 23}, {20, 21}, {18, 19}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {32, 33}, {34, 35}, {36, 37}, {38, 39}, {40, 41}, {42, 43}, {44, 45}, {46, 47}, {48, 49}, {50, 51}, {52, 53}, {1, 2}, {61, 62}, {57, 58}, {29, 30}, {25, 26}, {21, 22}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {53, 54}, {3, 4}, {59, 60}, {27, 28}, {19, 20}, {11, 12}, {35, 36}, {43, 44}, {51, 52}, {1, 15}, {17, 31}, {16, 30}, {32, 46}, {33, 47}, {48, 62}, {49, 63}, {7, 8}, {55, 56}, {23, 24}, {39, 40}, {2, 16}, {3, 17}, {6, 20}, {7, 21}, {10, 24}, {11, 25}, {14, 28}, {15, 29}, {34, 48}, {35, 49}, {38, 52}, {39, 53}, {42, 56}, {43, 57}, {46, 60}, {47, 61}, {4, 18}, {5, 19}, {12, 26}, {13, 27}, {36, 50}, {37, 51}, {44, 58}, {45, 59}, {8, 22}, {9, 23}, {40, 54}, {41, 55}, {15, 16}, {47, 48}, {18, 32}, {30, 44}, {27, 41}, {26, 40}, {23, 37}, {22, 36}, {19, 33}, {31, 45}, {4, 55}, {8, 59}, {12, 63}, {1, 52}, {3, 54}, {9, 60}, {11, 62}, {20, 34}, {29, 43}, {28, 42}, {21, 35}, {2, 53}, {10, 61}, {5, 56}, {7, 58}, {24, 38}, {25, 39}, {6, 57}, {31, 32}, {1, 65}, {13, 64}, {14, 65}, {50, 64}, {51, 65}, {63, 64} }>;

(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, 15)(3, 29)(4, 43)(5, 57)(7, 20)(8, 34)(9, 48)(10, 62)(12, 25)(13, 39)(14, 53)(17, 30)(18, 44)(19, 58)(22, 35)(23, 49)(24, 63)(27, 40)(28, 54)(32, 45)(33, 59)(37, 50)(38, 64)(42, 55)(47, 60)(52, 65)
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, 62, 63, 64, 65)
c: (2, 52)(3, 38)(4, 24)(5, 10)(6, 61)(7, 47)(8, 33)(9, 19)(11, 56)(12, 42)(13, 28)(15, 65)(16, 51)(17, 37)(18, 23)(20, 60)(21, 46)(22, 32)(25, 55)(26, 41)(29, 64)(30, 50)(31, 36)(34, 59)(35, 45)(39, 54)(43, 63)(44, 49)(48, 58)(57, 62)

(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[ 65, 2 ]
65
-1 2 15 52 65
-2 1 3 16 53
-3 2 4 17 54
-4 55 3 5 18
-5 56 4 6 19
-6 57 5 7 20
-7 58 6 8 21
-8 22 59 7 9
-9 23 60 8 10
-10 11 24 61 9
-11 12 25 62 10
-12 11 13 26 63
-13 12 14 27 64
-14 13 15 28 65
-15 1 14 16 29
-16 2 15 17 30
-17 3 16 18 31
-18 4 17 19 32
-19 33 5 18 20
-20 34 6 19 21
-21 22 35 7 20
-22 23 36 8 21
-23 22 24 37 9
-24 23 25 38 10
-25 11 24 26 39
-26 12 25 27 40
-27 13 26 28 41
-28 14 27 29 42
-29 15 28 30 43
-30 44 16 29 31
-31 45 17 30 32
-32 33 46 18 31
-33 34 47 19 32
-34 33 35 48 20
-35 34 36 49 21
-36 22 35 37 50
-37 23 36 38 51
-38 24 37 39 52
-39 25 38 40 53
-40 26 39 41 54
-41 55 27 40 42
-42 56 28 41 43
-43 44 57 29 42
-44 45 58 30 43
-45 44 46 59 31
-46 45 47 60 32
-47 33 46 48 61
-48 34 47 49 62
-49 35 48 50 63
-50 36 49 51 64
-51 37 50 52 65
-52 1 38 51 53
-53 2 39 52 54
-54 55 3 40 53
-55 56 4 41 54
-56 55 57 5 42
-57 56 58 6 43
-58 44 57 59 7
-59 45 58 60 8
-60 46 59 61 9
-61 47 60 62 10
-62 11 48 61 63
-63 12 49 62 64
-64 13 50 63 65
-65 1 14 51 64
0

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