C4graphGraph forms for C4 [ 48, 13 ] = PL(Curtain_6(1,3,2,4,5),[4^6,8^3])

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On this page are computer-accessible forms for the graph C4[ 48, 13 ] = PL(Curtain_6(1,3,2,4,5),[4^6,8^3]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {17, 27} under the group generated by the following permutations:

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

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

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