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

On this page are computer-accessible forms for the graph C4[ 96, 35 ] = UG(ATD[96,4]).

(I) Following is a form readable by MAGMA:

g:=Graph<96|{ {54, 55}, {84, 85}, {17, 19}, {93, 95}, {84, 86}, {80, 82}, {21, 23}, {1, 2}, {28, 31}, {40, 43}, {66, 70}, {90, 94}, {88, 92}, {1, 4}, {67, 70}, {66, 71}, {3, 6}, {33, 36}, {81, 87}, {2, 5}, {89, 94}, {34, 37}, {50, 53}, {86, 95}, {2, 8}, {84, 94}, {65, 75}, {7, 13}, {6, 12}, {3, 9}, {36, 46}, {39, 44}, {83, 88}, {69, 78}, {4, 10}, {5, 11}, {53, 59}, {32, 47}, {82, 93}, {68, 75}, {78, 93}, {4, 16}, {15, 27}, {14, 26}, {13, 25}, {12, 24}, {7, 19}, {6, 18}, {5, 17}, {15, 26}, {67, 86}, {38, 51}, {40, 62}, {8, 31}, {66, 85}, {9, 17}, {67, 91}, {35, 59}, {41, 49}, {38, 60}, {39, 61}, {10, 17}, {8, 20}, {79, 83}, {76, 80}, {11, 23}, {10, 22}, {9, 21}, {71, 90}, {74, 87}, {70, 88}, {35, 60}, {65, 94}, {40, 55}, {31, 63}, {27, 63}, {24, 61}, {27, 62}, {4, 34}, {10, 45}, {25, 62}, {19, 52}, {9, 32}, {18, 59}, {11, 33}, {22, 60}, {16, 58}, {15, 37}, {14, 36}, {27, 48}, {75, 96}, {30, 50}, {1, 44}, {30, 51}, {28, 49}, {12, 34}, {22, 56}, {13, 35}, {29, 50}, {25, 41}, {18, 33}, {7, 51}, {14, 58}, {8, 61}, {26, 47}, {24, 45}, {20, 33}, {18, 39}, {16, 38}, {21, 34}, {29, 42}, {25, 46}, {19, 40}, {23, 44}, {2, 62}, {92, 96}, {20, 41}, {22, 43}, {15, 49}, {21, 42}, {32, 96}, {29, 95}, {16, 85}, {31, 90}, {1, 71}, {29, 90}, {12, 68}, {7, 78}, {23, 93}, {3, 72}, {5, 73}, {28, 81}, {30, 77}, {13, 91}, {54, 96}, {24, 64}, {3, 88}, {11, 87}, {28, 64}, {20, 72}, {6, 91}, {26, 68}, {14, 81}, {30, 65}, {42, 74}, {35, 66}, {45, 76}, {38, 68}, {39, 69}, {53, 87}, {58, 89}, {63, 92}, {45, 72}, {47, 74}, {37, 67}, {47, 73}, {46, 73}, {55, 80}, {56, 80}, {58, 82}, {59, 83}, {56, 81}, {36, 79}, {48, 91}, {52, 95}, {56, 83}, {42, 70}, {43, 71}, {32, 77}, {57, 84}, {54, 89}, {57, 72}, {50, 64}, {55, 69}, {57, 77}, {44, 89}, {63, 74}, {48, 69}, {57, 79}, {37, 82}, {43, 92}, {52, 76}, {52, 77}, {54, 79}, {51, 73}, {46, 85}, {48, 75}, {53, 78}, {60, 64}, {61, 65}, {49, 76}, {41, 86} }>;

(II) A more general form is to represent the graph as the orbit of {54, 55} under the group generated by the following permutations:

a: (2, 4)(3, 7)(5, 10)(6, 13)(8, 16)(9, 19)(11, 22)(12, 25)(14, 28)(18, 35)(20, 38)(21, 40)(23, 43)(24, 46)(26, 49)(27, 37)(29, 54)(30, 57)(31, 58)(32, 52)(33, 60)(34, 62)(36, 64)(39, 66)(41, 68)(42, 55)(44, 71)(45, 73)(47, 76)(48, 67)(50, 79)(51, 72)(53, 83)(56, 87)(61, 85)(63, 82)(65, 84)(69, 70)(74, 80)(75, 86)(78, 88)(89, 90)(92, 93)(95, 96)
b: (2, 71, 4, 44)(3, 75, 7, 86)(5, 90, 10, 89)(6, 48, 13, 67)(8, 43, 16, 23)(9, 65, 19, 84)(11, 31, 22, 58)(12, 69, 25, 70)(14, 87, 28, 56)(15, 59)(17, 94)(18, 27, 35, 37)(20, 92, 38, 93)(21, 61, 40, 85)(24, 55, 46, 42)(26, 53, 49, 83)(29, 45, 54, 73)(30, 52, 57, 32)(33, 63, 60, 82)(34, 39, 62, 66)(36, 74, 64, 80)(41, 88, 68, 78)(47, 50, 76, 79)(51, 95, 72, 96)
c: (1, 2, 5, 11, 23, 44)(3, 6, 12, 24, 45, 72)(4, 8, 17, 33, 21, 39)(7, 14, 29, 55, 85, 63)(9, 18, 34, 61, 10, 20)(13, 26, 50, 80, 84, 92)(15, 30, 56, 86, 96, 35)(16, 31, 19, 36, 42, 69)(22, 41, 32, 59, 37, 65)(25, 47, 53, 82, 94, 43)(27, 51, 81, 95, 54, 66)(28, 52, 79, 70, 48, 38)(40, 46, 74, 78, 58, 90)(49, 77, 83, 67, 75, 60)(57, 88, 91, 68, 64, 76)(62, 73, 87, 93, 89, 71)

(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[ 96, 35 ]
96
-1 44 2 4 71
-2 1 5 62 8
-3 88 6 72 9
-4 1 34 16 10
-5 11 2 17 73
-6 12 3 91 18
-7 78 13 51 19
-8 2 61 20 31
-9 3 17 21 32
-10 22 45 4 17
-11 33 23 5 87
-12 34 24 68 6
-13 35 25 91 7
-14 36 58 26 81
-15 26 37 27 49
-16 58 4 38 85
-17 5 19 9 10
-18 33 59 6 39
-19 17 7 40 52
-20 33 72 8 41
-21 23 34 9 42
-22 56 60 10 43
-23 11 44 93 21
-24 12 45 61 64
-25 13 46 62 41
-26 68 14 47 15
-27 15 48 62 63
-28 81 49 31 64
-29 90 50 95 42
-30 77 50 51 65
-31 90 28 8 63
-32 77 47 96 9
-33 11 36 18 20
-34 12 4 37 21
-35 66 13 59 60
-36 33 46 79 14
-37 34 67 15 82
-38 68 16 60 51
-39 44 69 61 18
-40 55 62 19 43
-41 25 49 20 86
-42 70 29 74 21
-43 22 92 71 40
-44 1 23 89 39
-45 24 72 10 76
-46 25 36 73 85
-47 26 73 74 32
-48 69 91 27 75
-49 15 28 41 76
-50 29 30 53 64
-51 38 7 73 30
-52 77 95 19 76
-53 78 59 50 87
-54 55 89 79 96
-55 69 80 40 54
-56 22 80 81 83
-57 77 79 72 84
-58 89 14 16 82
-59 35 83 18 53
-60 22 35 38 64
-61 24 39 8 65
-62 2 25 27 40
-63 92 27 74 31
-64 24 60 28 50
-65 61 94 30 75
-66 35 70 71 85
-67 91 37 70 86
-68 12 26 38 75
-69 55 78 48 39
-70 66 88 67 42
-71 66 1 90 43
-72 45 57 3 20
-73 46 47 5 51
-74 47 63 42 87
-75 68 48 96 65
-76 45 80 49 52
-77 57 30 52 32
-78 69 93 7 53
-79 57 36 83 54
-80 55 56 82 76
-81 56 14 28 87
-82 58 80 37 93
-83 88 56 79 59
-84 57 94 85 86
-85 66 46 16 84
-86 67 84 95 41
-87 11 81 74 53
-88 3 70 92 83
-89 44 58 94 54
-90 71 94 29 31
-91 67 13 48 6
-92 88 63 96 43
-93 23 78 82 95
-94 89 90 84 65
-95 93 29 52 86
-96 92 75 32 54
0

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