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On this page are computer-accessible forms for the graph C4[ 48, 10 ] = PL(WH_8(2,0,1,5),[3^8,4^6]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {24, 28} under the group generated by the following permutations:

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

(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.

**************

&Graph
C4[ 48, 10 ]
48
-1 33 25 37 27
-2 33 34 25 31
-3 36 38 30 32
-4 46 25 48 38
-5 35 38 41 32
-6 25 48 40 43
-7 36 26 40 30
-8 44 45 36 27
-9 33 44 48 30
-10 45 46 37 32
-11 35 26 40 41
-12 37 27 39 29
-13 44 36 47 31
-14 33 48 28 41
-15 34 46 47 32
-16 45 35 27 28
-17 45 26 37 43
-18 34 39 29 31
-19 35 47 28 31
-20 46 38 29 42
-21 34 47 26 43
-22 44 39 30 42
-23 29 40 42 43
-24 28 39 41 42
-25 1 2 4 6
-26 11 17 7 21
-27 1 12 16 8
-28 24 14 16 19
-29 12 23 18 20
-30 22 3 7 9
-31 2 13 18 19
-32 3 15 5 10
-33 1 2 14 9
-34 2 15 18 21
-35 11 5 16 19
-36 13 3 7 8
-37 1 12 17 10
-38 3 4 5 20
-39 22 12 24 18
-40 11 23 6 7
-41 11 24 14 5
-42 22 23 24 20
-43 23 6 17 21
-44 22 13 8 9
-45 16 17 8 10
-46 4 15 20 10
-47 13 15 19 21
-48 14 4 6 9
0

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