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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)
     -- 0.0946747 seconds elapsed
     -- 0.0410079 seconds elapsed
(number Of blocks, 26)
     -- 0.000407883 seconds elapsed
1
     -- 0.000354562 seconds elapsed
1
     -- 0.000315002 seconds elapsed
1
     -- 0.000300743 seconds elapsed
1
     -- 0.000307242 seconds elapsed
2
     -- 0.000327802 seconds elapsed
 2
2
     -- 0.000388603 seconds elapsed
 2
2
     -- 0.000406203 seconds elapsed
 2
2 3
     -- 0.000359003 seconds elapsed
 2
2 3
     -- 0.000346723 seconds elapsed
 2
2 3
     -- 0.000309322 seconds elapsed
 2
2
     -- 0.000318182 seconds elapsed
 2
2
     -- 0.000308863 seconds elapsed
2
     -- 0.000302622 seconds elapsed
2
     -- 0.000338943 seconds elapsed
 2
2
     -- 0.000360342 seconds elapsed
 2
2
     -- 0.000413483 seconds elapsed
 2
2 3
     -- 0.000392963 seconds elapsed
 2
2 3
     -- 0.000480543 seconds elapsed
 2
2 3
     -- 0.000409143 seconds elapsed
 2
2
     -- 0.000360162 seconds elapsed
 2
2
     -- 0.000345523 seconds elapsed
2
     -- 0.000350303 seconds elapsed
1
     -- 0.000368342 seconds elapsed
1
     -- 0.000352303 seconds elapsed
1
     -- 0.000355782 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :