[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 60, 11 ] = UG(ATD[60,16]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {16, 17} under the group generated by the following permutations:

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

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

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