next | previous | forward | backward | up | top | index | toc | Macaulay2 website
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)
 -- 0.0103005 seconds elapsed
 -- 0.0226705 seconds elapsed
 -- 0.000336138 seconds elapsed
 -- 0.000213709 seconds elapsed
 -- 0.000198271 seconds elapsed
 -- 0.000197559 seconds elapsed
 -- 0.000219811 seconds elapsed
 -- 0.000209982 seconds elapsed
 -- 0.000245198 seconds elapsed
 -- 0.000256028 seconds elapsed
 -- 0.000223297 seconds elapsed
 -- 0.000250257 seconds elapsed
 -- 0.000213298 seconds elapsed
 -- 0.000200384 seconds elapsed
 -- 0.000200274 seconds elapsed
 -- 0.000196186 seconds elapsed
 -- 0.000216254 seconds elapsed
 -- 0.000194192 seconds elapsed
 -- 0.000223357 seconds elapsed
 -- 0.000231833 seconds elapsed
 -- 0.000246039 seconds elapsed
 -- 0.000223648 seconds elapsed
 -- 0.000217266 seconds elapsed
 -- 0.000216605 seconds elapsed
 -- 0.000195536 seconds elapsed
 -- 0.000208148 seconds elapsed
 -- 0.000204372 seconds elapsed
 -- 0.00020902 seconds elapsed
(number Of blocks, 26)
1
1
1
1
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
1
1
1
1

o2 = 3131031158784
 
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :

For the programmer

The object carpetDet is a method function.