Home Online Manual
Top
Back: multipleCover
Forward: rationalCurve
FastBack:
FastForward:
Up: schubert_lib
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document

D.15.33.30 linesHypersurface

Procedure from library schubert.lib (see schubert_lib).

Usage:
linesHypersurface(n); n int

Return:
number

Theory:
This is the number of lines on a general hypersurface of degree d = 2n-3 in an n-dimensional projective space.

Example:
 
LIB "schubert.lib";
ring r = 0,x,dp;
linesHypersurface(2);
==> 1
linesHypersurface(3);
==> 27
linesHypersurface(4);
==> 2875
linesHypersurface(5);
==> 698005
linesHypersurface(6);
==> 305093061
linesHypersurface(7);
==> 210480374951
linesHypersurface(8);
==> 210776836330775
linesHypersurface(9);
==> 289139638632755625
linesHypersurface(10);
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> // ** int overflow(^), result may be wrong
==> 520764738758073845321
See also: linesHypersurface; multipleCover.