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

On this page are computer-accessible forms for the graph C4[ 77, 1 ] = C_77(1,34).

(I) Following is a form readable by MAGMA:

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

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

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