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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)
     -- 0.00948212 seconds elapsed
     -- 0.0127174 seconds elapsed
(number Of blocks, 26)
     -- 0.000158673 seconds elapsed
1
     -- 0.00012525 seconds elapsed
1
     -- 0.000102928 seconds elapsed
1
     -- 0.000097141 seconds elapsed
1
     -- 0.000102864 seconds elapsed
2
     -- 0.000113277 seconds elapsed
 2
2
     -- 0.000121385 seconds elapsed
 2
2
     -- 0.000135644 seconds elapsed
 2
2 3
     -- 0.000118826 seconds elapsed
 2
2 3
     -- 0.000113355 seconds elapsed
 2
2 3
     -- 0.000106263 seconds elapsed
 2
2
     -- 0.000188294 seconds elapsed
 2
2
     -- 0.000098819 seconds elapsed
2
     -- 0.000098067 seconds elapsed
2
     -- 0.000115445 seconds elapsed
 2
2
     -- 0.000106963 seconds elapsed
 2
2
     -- 0.00011674 seconds elapsed
 2
2 3
     -- 0.000114159 seconds elapsed
 2
2 3
     -- 0.000133297 seconds elapsed
 2
2 3
     -- 0.00012495 seconds elapsed
 2
2
     -- 0.000109699 seconds elapsed
 2
2
     -- 0.000098279 seconds elapsed
2
     -- 0.00009807 seconds elapsed
1
     -- 0.00010443 seconds elapsed
1
     -- 0.000099636 seconds elapsed
1
     -- 0.000097826 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :