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On this page are computer-accessible forms for the graph C4[ 63, 3 ] = PS(9,7;2).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {28, 29} under the group generated by the following permutations:

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

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