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On this page are computer-accessible forms for the graph C4[ 69, 1 ] = C_69(1,22).

(I) Following is a form readable by MAGMA:

g:=Graph<69|{ {2, 3}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {26, 27}, {24, 25}, {22, 23}, {20, 21}, {18, 19}, {16, 17}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {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}, {1, 2}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {25, 26}, {21, 22}, {17, 18}, {5, 6}, {9, 10}, {13, 14}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {3, 4}, {67, 68}, {59, 60}, {27, 28}, {19, 20}, {11, 12}, {35, 36}, {43, 44}, {51, 52}, {7, 8}, {55, 56}, {23, 24}, {39, 40}, {1, 23}, {8, 30}, {9, 31}, {32, 54}, {33, 55}, {40, 62}, {41, 63}, {2, 24}, {3, 25}, {6, 28}, {7, 29}, {34, 56}, {35, 57}, {38, 60}, {39, 61}, {4, 26}, {5, 27}, {36, 58}, {37, 59}, {15, 16}, {47, 48}, {10, 32}, {27, 49}, {26, 48}, {11, 33}, {14, 36}, {15, 37}, {30, 52}, {31, 53}, {12, 34}, {13, 35}, {28, 50}, {29, 51}, {16, 63}, {1, 48}, {3, 50}, {5, 52}, {7, 54}, {9, 56}, {11, 58}, {13, 60}, {15, 62}, {2, 49}, {6, 53}, {10, 57}, {14, 61}, {16, 38}, {25, 47}, {24, 46}, {17, 39}, {4, 51}, {12, 59}, {18, 40}, {23, 45}, {22, 44}, {19, 41}, {20, 42}, {21, 43}, {8, 55}, {31, 32}, {1, 69}, {17, 64}, {21, 68}, {19, 66}, {18, 65}, {22, 69}, {20, 67}, {42, 64}, {43, 65}, {46, 68}, {47, 69}, {44, 66}, {45, 67}, {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, 48)(3, 26)(5, 51)(6, 29)(8, 54)(9, 32)(11, 57)(12, 35)(14, 60)(15, 38)(17, 63)(18, 41)(20, 66)(21, 44)(23, 69)(24, 47)(27, 50)(30, 53)(33, 56)(36, 59)(39, 62)(42, 65)(45, 68)
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, 66, 67, 68, 69)
c: (2, 23)(3, 45)(4, 67)(5, 20)(6, 42)(7, 64)(8, 17)(9, 39)(10, 61)(11, 14)(12, 36)(13, 58)(15, 33)(16, 55)(18, 30)(19, 52)(21, 27)(22, 49)(25, 46)(26, 68)(28, 43)(29, 65)(31, 40)(32, 62)(34, 37)(35, 59)(38, 56)(41, 53)(44, 50)(48, 69)(51, 66)(54, 63)(57, 60)

(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[ 69, 1 ]
69
-1 23 2 69 48
-2 1 24 3 49
-3 2 25 4 50
-4 3 26 5 51
-5 4 27 6 52
-6 5 28 7 53
-7 6 29 8 54
-8 55 7 30 9
-9 56 8 31 10
-10 11 57 9 32
-11 33 12 58 10
-12 11 34 13 59
-13 12 35 14 60
-14 13 36 15 61
-15 14 37 16 62
-16 15 38 17 63
-17 16 39 18 64
-18 17 40 19 65
-19 66 18 41 20
-20 67 19 42 21
-21 22 68 20 43
-22 44 23 69 21
-23 22 1 45 24
-24 23 2 46 25
-25 24 3 47 26
-26 25 4 48 27
-27 26 5 49 28
-28 27 6 50 29
-29 28 7 51 30
-30 29 8 52 31
-31 30 9 53 32
-32 33 31 10 54
-33 11 55 34 32
-34 33 12 56 35
-35 34 13 57 36
-36 35 14 58 37
-37 36 15 59 38
-38 37 16 60 39
-39 38 17 61 40
-40 39 18 62 41
-41 40 19 63 42
-42 41 20 64 43
-43 44 42 21 65
-44 22 66 45 43
-45 44 23 67 46
-46 45 24 68 47
-47 46 25 69 48
-48 1 47 26 49
-49 2 48 27 50
-50 3 49 28 51
-51 4 50 29 52
-52 5 51 30 53
-53 6 52 31 54
-54 55 7 53 32
-55 33 56 8 54
-56 55 34 57 9
-57 56 35 58 10
-58 11 57 36 59
-59 12 58 37 60
-60 13 59 38 61
-61 14 60 39 62
-62 15 61 40 63
-63 16 62 41 64
-64 17 63 42 65
-65 66 18 64 43
-66 44 67 19 65
-67 66 45 68 20
-68 67 46 69 21
-69 22 1 68 47
0

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