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UnirationalComponentOf6GonalGenus11Curves :: scrollsPencilOfLinesDouble

scrollsPencilOfLinesDouble

Synopsis

Description

The function computes the list of scrolls swept out by pencil of lines through each of double points

i1 : p=nextPrime 10^3; -- a prime number
i2 : time (G,Ican)=random6gonalGenus11Curve10Pencil(p);
     -- used 1.5735 seconds
i3 : time S=scrollsPencilOfLinesDouble(G,Ican);
     -- used 0.398939 seconds
i4 : apply(S,k->betti res k)

             0  1  2  3  4 5         0  1  2  3  4 5         0  1  2  3  4 5 
o4 = {total: 1 15 40 45 24 5, total: 1 15 40 45 24 5, total: 1 15 40 45 24 5,
          0: 1  .  .  .  . .      0: 1  .  .  .  . .      0: 1  .  .  .  . . 
          1: . 15 40 45 24 5      1: . 15 40 45 24 5      1: . 15 40 45 24 5 
     ------------------------------------------------------------------------
            0  1  2  3  4 5         0  1  2  3  4 5         0  1  2  3  4 5 
     total: 1 15 40 45 24 5, total: 1 15 40 45 24 5, total: 1 15 40 45 24 5,
         0: 1  .  .  .  . .      0: 1  .  .  .  . .      0: 1  .  .  .  . . 
         1: . 15 40 45 24 5      1: . 15 40 45 24 5      1: . 15 40 45 24 5 
     ------------------------------------------------------------------------
            0  1  2  3  4 5         0  1  2  3  4 5         0  1  2  3  4 5 
     total: 1 15 40 45 24 5, total: 1 15 40 45 24 5, total: 1 15 40 45 24 5,
         0: 1  .  .  .  . .      0: 1  .  .  .  . .      0: 1  .  .  .  . . 
         1: . 15 40 45 24 5      1: . 15 40 45 24 5      1: . 15 40 45 24 5 
     ------------------------------------------------------------------------
            0  1  2  3  4 5
     total: 1 15 40 45 24 5}
         0: 1  .  .  .  . .
         1: . 15 40 45 24 5

o4 : List

Ways to use scrollsPencilOfLinesDouble :