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On this page are computer-accessible forms for the graph C4[ 48, 14 ] = AMC(3,8,[5.5:5.2]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {32, 37} under the group generated by the following permutations:

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

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

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