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On this page are computer-accessible forms for the graph C4[ 63, 1 ] = C_63(1,8).

(I) Following is a form readable by MAGMA:

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

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

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