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

On this page are computer-accessible forms for the graph C4[ 96, 40 ] = UG(ATD[96,61]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {10, 11} under the group generated by the following permutations:

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

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

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