File: direct_overflow.ref

package info (click to toggle)
normaliz 3.10.4%2Bds-1
  • links: PTS, VCS
  • area: main
  • in suites: trixie
  • size: 40,260 kB
  • sloc: cpp: 47,283; makefile: 2,207; sh: 1
file content (56 lines) | stat: -rw-r--r-- 1,084 bytes parent folder | download | duplicates (3)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
2 Hilbert basis elements
2 lattice points in polytope (Hilbert basis elements of degree 1)
2 extreme rays
2 support hyperplanes

embedding dimension = 2
rank = 2 (maximal)
external index = 1
internal index = 1
original monoid is integrally closed in chosen lattice

size of triangulation   = 1
resulting sum of |det|s = 1

grading:
-12345678901234567889 1 

degrees of extreme rays:
1:2  

Hilbert basis elements are of degree 1

multiplicity = 1

Hilbert series:
1 
denominator with 2 factors:
1:2  

degree of Hilbert Series as rational function = -2

The numerator of the Hilbert series is symmetric.

Hilbert polynomial:
1 1 
with common denominator = 1

rank of class group = 0
class group is free

***********************************************************************

2 lattice points in polytope (Hilbert basis elements of degree 1):
 0                    1
 1 12345678901234567890

0 further Hilbert basis elements of higher degree:

2 extreme rays:
 0                    1
 1 12345678901234567890

2 support hyperplanes:
 -12345678901234567890 1
                     1 0