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)
 -- 0.0100402 seconds elapsed
 -- 0.0337358 seconds elapsed
 -- 0.000341458 seconds elapsed
 -- 0.000378734 seconds elapsed
 -- 0.000330464 seconds elapsed
 -- 0.000307209 seconds elapsed
 -- 0.000327789 seconds elapsed
 -- 0.000325669 seconds elapsed
 -- 0.000394708 seconds elapsed
 -- 0.000442655 seconds elapsed
 -- 0.000388208 seconds elapsed
 -- 0.000319921 seconds elapsed
 -- 0.000328894 seconds elapsed
 -- 0.0003115 seconds elapsed
 -- 0.000330747 seconds elapsed
 -- 0.000334046 seconds elapsed
 -- 0.000316215 seconds elapsed
 -- 0.000303948 seconds elapsed
 -- 0.000383406 seconds elapsed
 -- 0.000410717 seconds elapsed
 -- 0.000373411 seconds elapsed
 -- 0.000344938 seconds elapsed
 -- 0.000338938 seconds elapsed
 -- 0.000335437 seconds elapsed
 -- 0.000337579 seconds elapsed
 -- 0.000318197 seconds elapsed
 -- 0.000368746 seconds elapsed
 -- 0.00028328 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.