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K3Carpets :: carpetDet

carpetDet -- compute the determinant of the crucial constant strand of a carpet X(a,b)

Synopsis

Description

We compute nonminimal resolution F of the carpet of type (a,b) over a finite prime field, Lift this to a resolution over ZZ, introduce the fine grading, grep the various blocks of the crucial map in the a-th strand, compute their determinants and return their product.

i1 : a=4,b=4

o1 = (4, 4)

o1 : Sequence
i2 : d=carpetDet(a,b)
     -- 0.116192 seconds elapsed
     -- 0.0400671 seconds elapsed
(number Of blocks, 26)
     -- 0.000367554 seconds elapsed
1
     -- 0.000307798 seconds elapsed
1
     -- 0.000293679 seconds elapsed
1
     -- 0.00027908 seconds elapsed
1
     -- 0.0002783 seconds elapsed
2
     -- 0.000302158 seconds elapsed
 2
2
     -- 0.000350075 seconds elapsed
 2
2
     -- 0.000371853 seconds elapsed
 2
2 3
     -- 0.000317397 seconds elapsed
 2
2 3
     -- 0.000316977 seconds elapsed
 2
2 3
     -- 0.000302398 seconds elapsed
 2
2
     -- 0.000304838 seconds elapsed
 2
2
     -- 0.00027628 seconds elapsed
2
     -- 0.00027678 seconds elapsed
2
     -- 0.000298779 seconds elapsed
 2
2
     -- 0.000280439 seconds elapsed
 2
2
     -- 0.000318337 seconds elapsed
 2
2 3
     -- 0.000319377 seconds elapsed
 2
2 3
     -- 0.000362534 seconds elapsed
 2
2 3
     -- 0.000346215 seconds elapsed
 2
2
     -- 0.000331037 seconds elapsed
 2
2
     -- 0.000297399 seconds elapsed
2
     -- 0.000303718 seconds elapsed
1
     -- 0.000298799 seconds elapsed
1
     -- 0.000321996 seconds elapsed
1
     -- 0.000302879 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :