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On this page are computer-accessible forms for the graph C4[ 48, 12 ] = L(F32).

(I) Following is a form readable by MAGMA:

g:=Graph<48|{ {2, 3}, {46, 47}, {44, 45}, {40, 41}, {38, 39}, {34, 35}, {22, 23}, {16, 17}, {14, 15}, {10, 11}, {4, 5}, {24, 25}, {28, 29}, {30, 31}, {32, 33}, {1, 3}, {40, 42}, {37, 39}, {12, 14}, {9, 11}, {32, 34}, {1, 2}, {41, 42}, {40, 43}, {37, 38}, {36, 39}, {17, 18}, {1, 5}, {3, 7}, {2, 6}, {1, 4}, {16, 21}, {43, 45}, {10, 13}, {43, 44}, {25, 30}, {21, 29}, {4, 13}, {6, 15}, {5, 12}, {2, 8}, {38, 44}, {3, 9}, {22, 28}, {5, 14}, {20, 31}, {18, 25}, {18, 30}, {39, 42}, {4, 10}, {36, 42}, {35, 45}, {7, 9}, {6, 8}, {23, 24}, {34, 45}, {11, 27}, {12, 28}, {32, 48}, {10, 27}, {33, 48}, {6, 20}, {7, 21}, {14, 26}, {13, 24}, {15, 26}, {7, 16}, {11, 19}, {8, 17}, {8, 18}, {13, 23}, {12, 22}, {9, 19}, {15, 20}, {46, 48}, {47, 48}, {31, 47}, {19, 34}, {26, 43}, {30, 47}, {26, 40}, {19, 32}, {16, 36}, {21, 33}, {29, 41}, {17, 36}, {28, 41}, {20, 35}, {27, 44}, {22, 46}, {23, 46}, {25, 37}, {29, 33}, {31, 35}, {24, 37}, {27, 38} }>;

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

(2, 3)(4, 5)(6, 9)(7, 8)(10, 14)(11, 15)(12, 13)(16, 17)(18, 21)(19, 20)(22, 23)(24, 28)(25, 29)(26, 27)(30, 33)(31, 32)(34, 35)(37, 41)(38, 40)(39, 42)(43, 44)(47, 48)
(1, 2)(4, 8)(5, 6)(7, 9)(10, 17)(11, 16)(12, 20)(13, 18)(14, 15)(19, 21)(22, 31)(23, 30)(24, 25)(27, 36)(28, 35)(29, 34)(32, 33)(38, 39)(40, 43)(41, 45)(42, 44)(46, 47)
(2, 4)(3, 5)(6, 10)(7, 12)(8, 13)(9, 14)(11, 15)(16, 22)(17, 23)(18, 24)(19, 26)(20, 27)(21, 28)(30, 37)(31, 38)(32, 40)(33, 41)(34, 43)(35, 44)(36, 46)(39, 47)(42, 48)

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

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