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

On this page are computer-accessible forms for the graph C4[ 87, 1 ] = C_87(1,28).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

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

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

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