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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)
     -- 0.00458329 seconds elapsed
     -- 0.00818731 seconds elapsed
(number Of blocks, 26)
     -- 0.000091405 seconds elapsed
1
     -- 0.000078041 seconds elapsed
1
     -- 0.000064486 seconds elapsed
1
     -- 0.00006322 seconds elapsed
1
     -- 0.000063774 seconds elapsed
2
     -- 0.0000691 seconds elapsed
 2
2
     -- 0.000084508 seconds elapsed
 2
2
     -- 0.000158303 seconds elapsed
 2
2 3
     -- 0.00007588 seconds elapsed
 2
2 3
     -- 0.000075313 seconds elapsed
 2
2 3
     -- 0.000068232 seconds elapsed
 2
2
     -- 0.000069804 seconds elapsed
 2
2
     -- 0.000066648 seconds elapsed
2
     -- 0.000070127 seconds elapsed
2
     -- 0.0000678 seconds elapsed
 2
2
     -- 0.000066146 seconds elapsed
 2
2
     -- 0.000076076 seconds elapsed
 2
2 3
     -- 0.000075428 seconds elapsed
 2
2 3
     -- 0.000084745 seconds elapsed
 2
2 3
     -- 0.000073791 seconds elapsed
 2
2
     -- 0.000076785 seconds elapsed
 2
2
     -- 0.000065879 seconds elapsed
2
     -- 0.000067426 seconds elapsed
1
     -- 0.000068502 seconds elapsed
1
     -- 0.000068998 seconds elapsed
1
     -- 0.000064645 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :