# Computing periods of rational integralsSupplementary material

This page contains the annihilating operators of the 210 principal periods given in Constructing new Calabi-Yau 3-folds and their mirrors via conifold transitions (Batyrev and Kreuzer, 2010, In: Adv. Theor. Math. Phys. 14.3). See in particular §4. It is a complement to §8 of Computing periods of rational integrals (Lairez, 2014)

## Implementation

The implementation used to perform the computations is available at github under the CeCILL license v2.1:

github.com/lairez/periods

## Data format

• ### Polytope vXX.YY (numbering used in the database of Batirev and Kreuzer)

• topology

number in Table 3 of Constructing new Calabi-Yau

• Laurent polynomial

the Laurent polynomials whose monomials corresponds to the vertices of the polytope

• series expansion

the first few terms of the generating function of the constant terms of the powers of the Laurent polynomial

• exponents

list of root of the indicial equation at the origin of the Picard-Fuchs equation of the generating function

• operators

the Picard-Fuchs equation, either in D and t or theta and t; it is possible that the given operator is not minimal, but unlikely

• order

the order of the Picard-Fuchs equation

• degree

the degree of the coefficients of the Picard-Fuchs equation, written as a polynomial in D

• cpu time

time used by the computation (some non-deterministic heuristics make it very inconsistent)

## Data

all operators

• ### polytope v6.1

• topology

#65

• Laurent polynomial

1/w/x/z + y + x + w + z + 1/w/x/y

• series expansion

1 + 48*t^4 + 15120*t^8 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

7

• cpu time

15 s

• ### polytope v6.2

• topology

#68

• Laurent polynomial

1/w^3/x/z + y + x + w + z + 1/w^3/x/y

• series expansion

1 + 240*t^6 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

9

• cpu time

17 s

• ### polytope v6.3

• topology

#64

• Laurent polynomial

1/w^2/x/y/z + 1/w/x^2/y/z + z + x + y + w

• series expansion

1 + 720*t^6 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

9

• cpu time

24 s

• ### polytope v7.19

• topology

#62

• Laurent polynomial

1/x/z + y + z + 1/w/x + 1/w/y + x + w

• series expansion

1 + 18*t^3 + 1710*t^6 + 246960*t^9 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

9

• cpu time

25 s

• ### polytope v7.6

• topology

#63

• Laurent polynomial

1/w*z + 1/w + w/x*y + w/x + w/x*z + 1/w*y + 1/w*x^2/y/z

• series expansion

1 + 72*t^4 + 37800*t^8 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

7

• cpu time

19 s

• ### polytope v7.7

• topology

#67

• Laurent polynomial

1/w/x*y*z^2 + 1/w/x*y*z + w/x + 1/w/x*y^2*z + 1/w*x^2/z + 1/w*x^2/y/z + 1/w*x^2/y

• series expansion

1 + 360*t^6 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

9

• cpu time

23 s

• ### polytope v8.139

• topology

#66

• Laurent polynomial

1/w^2/z + y + x + w + z + 1/w^2/y + 1/w^2/x + 1/w^4/x/y/z

• series expansion

1 + 36*t^4 + 7980*t^8 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

37 s

• ### polytope v8.18

• topology

#62

• Laurent polynomial

1/w/z + y + x + w + z + 1/w/y + 1/w/x + 1/w^2/x/y/z

• series expansion

1 + 18*t^3 + 1710*t^6 + 246960*t^9 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

9

• cpu time

16 s

• ### polytope v8.36

• topology

#60

• Laurent polynomial

1/w + 1/w*z + 1/w*x + 1/w*x*y + 1/w*y*z + w^2/x/y + 1/w*y + w^2/x/y/z

• series expansion

1 + 24*t^3 + 3240*t^6 + 672000*t^9 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

6

• cpu time

15 s

• ### polytope v8.5

• topology

#61

• Laurent polynomial

w/x*z + w/x + 1/w*y + 1/w*x^2/y/z + 1/w + 1/w*z + w/x*y + w*x/y/z

• series expansion

1 + 144*t^4 + 176400*t^8 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

7

• cpu time

13 s

• ### polytope v9.35

• topology

#60

• Laurent polynomial

1/w + 1/w*z + 1/w*x*z + 1/w*x + 1/w*x*y + 1/w*x*y*z + 1/w*y*z + 1/w*y + w^2/x/y/z

• series expansion

1 + 24*t^3 + 3240*t^6 + 672000*t^9 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

6

• cpu time

10 s

• ### polytope v9.4

• topology

#59

• Laurent polynomial

1/w + 1/w*z + w^2/x/z + w^2/y/z + 1/w*x*z + 1/w*y*z + 1/w*x + 1/w*y + w^2/x/y/z

• series expansion

1 + 36*t^3 + 8100*t^6 + 2822400*t^9 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

6

• cpu time

8 s

• ### polytope v9.41

• topology

#65

• Laurent polynomial

1/w + 1/w*z + w/x + 1/w*y*z + 1/w*y + 1/w*x^2/z + 1/w*x^2 + 1/w*x^2/y + 1/w*x^2/y/z

• series expansion

1 + 48*t^4 + 15120*t^8 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

7

• cpu time

9 s

• ### polytope v9.635

• topology

#56

• Laurent polynomial

1/x/y/z + 1/x + z + 1/y + 1/w + w + x + y + 1/w*x*y

• series expansion

1 + 6*t^2 + 162*t^4 + 6180*t^6 + 284130*t^8 + 14553756*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

7

• cpu time

25 s

• ### polytope v10.1649

• topology

#54

• Laurent polynomial

1/w/x/z + z + w + w/x/y + x + 1/w*x*y + 1/w + 1/y + y + 1/x

• series expansion

1 + 8*t^2 + 240*t^4 + 10880*t^6 + 597520*t^8 + 36667008*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

7

• cpu time

19 s

• ### polytope v10.1770

• topology

#56

• Laurent polynomial

1/w/y/z + z + 1/w + 1/y + x + y + 1/x + 1/w/x*y + 1/w/x/z + w

• series expansion

1 + 6*t^2 + 162*t^4 + 6180*t^6 + 284130*t^8 + 14553756*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

7

• cpu time

18 s

• ### polytope v10.1777

• topology

#56

• Laurent polynomial

z + 1/w + 1/y + 1/x + 1/w/y/z + 1/w/x/z + 1/x/y/z + x + y + w

• series expansion

1 + 6*t^2 + 162*t^4 + 6180*t^6 + 284130*t^8 + 14553756*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

7

• cpu time

15 s

• ### polytope v10.1860

• topology

#50

• Laurent polynomial

1/w*x/z + z + x + 1/w + y + 1/x + 1/w*y/z + w + 1/y + w/x/y

• series expansion

1 + 6*t^2 + 210*t^4 + 9780*t^6 + 551250*t^8 + 34587756*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

13

• cpu time

157 s

• ### polytope v10.79

• topology

#54

• Laurent polynomial

1/z + w + y + x + z + 1/y + 1/x + 1/w*y*z + 1/x/y/z + 1/w

• series expansion

1 + 8*t^2 + 240*t^4 + 10880*t^6 + 597520*t^8 + 36667008*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

7

• cpu time

128 s

• ### polytope v11.100

• topology

#54

• Laurent polynomial

1/z + y + x + w + 1/w/y*z + z + 1/w/x/y + 1/x + 1/y + 1/w + 1/w/x/z

• series expansion

1 + 8*t^2 + 240*t^4 + 10880*t^6 + 597520*t^8 + 36667008*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

7

• cpu time

29 s

• ### polytope v11.112

• topology

#53

• Laurent polynomial

1/z + w + y + 1/w*y/z + 1/x + 1/x/y*z + 1/w + z + x + 1/w*x/z + 1/y

• series expansion

1 + 8*t^2 + 288*t^4 + 15200*t^6 + 968800*t^8 + 68923008*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

7

• cpu time

17 s

• ### polytope v11.3645

• topology

#50

• Laurent polynomial

x + 1/y + y + 1/x + 1/w*y/z + 1/w + 1/x/y*z + z + 1/w/x/y + 1/w*x/z + w

• series expansion

1 + 6*t^2 + 210*t^4 + 9780*t^6 + 551250*t^8 + 34587756*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

13

• cpu time

43 s

• ### polytope v11.3758

• topology

#53

• Laurent polynomial

1/w*x*z + 1/w*x*y + 1/w*x + w/x/z + w/x/y + 1/w + 1/w*y*z + 1/w*y + 1/w*z + w/y + w/z

• series expansion

1 + 8*t^2 + 288*t^4 + 15200*t^6 + 968800*t^8 + 68923008*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

7

• cpu time

24 s

• ### polytope v11.3799

• topology

#50

• Laurent polynomial

1/x*y/z + z + 1/w*x/y + 1/x + 1/w/x/z + 1/w + y + 1/y + x + 1/w/y/z + w

• series expansion

1 + 6*t^2 + 210*t^4 + 9780*t^6 + 551250*t^8 + 34587756*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

13

• cpu time

70 s

• ### polytope v11.3822

• topology

#50

• Laurent polynomial

1/w*x/z + w + x + 1/w/x/y + y + 1/x + 1/w + 1/w*y/z + z + 1/y + x*y/z

• series expansion

1 + 6*t^2 + 210*t^4 + 9780*t^6 + 551250*t^8 + 34587756*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

13

• cpu time

2055 s

• ### polytope v11.7227

• topology

#56

• Laurent polynomial

1/w/y/z + z + 1/w/x/y + 1/y + y + 1/w + 1/x + 1/w^2/x/y/z + 1/w/x/z + x + w

• series expansion

1 + 6*t^2 + 162*t^4 + 6180*t^6 + 284130*t^8 + 14553756*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

7

• cpu time

20 s

• ### polytope v12.3757

• topology

#52

• Laurent polynomial

1/w*x*z + 1/w*x*y + 1/w*x + w/x/z + w/x/y + w/x + 1/w*y + 1/w*y*z + 1/w*z + 1/w + w/y + w/z

• series expansion

1 + 10*t^2 + 438*t^4 + 28900*t^6 + 2310070*t^8 + 206389260*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

7

• cpu time

21 s

• ### polytope v12.584

• topology

#54

• Laurent polynomial

1/z + y + x + w + 1/x + z + 1/w^2/x/y/z + 1/w/x/y + 1/y + 1/w + 1/w/y/z + 1/w/x/z

• series expansion

1 + 8*t^2 + 240*t^4 + 10880*t^6 + 597520*t^8 + 36667008*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

7

• cpu time

23 s

• ### polytope v12.7658

• topology

#46

• Laurent polynomial

1/w + 1/w*z + 1/w*x*y*z + 1/w*x*z + 1/w*y*z + 1/w*x + 1/w*y + w/x/z + w/y/z + w + w/x/y + w/x/y/z

• series expansion

1 + 8*t^2 + 360*t^4 + 23120*t^6 + 1796200*t^8 + 155711808*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

13

• cpu time

34 s

• ### polytope v12.8164

• topology

#46

• Laurent polynomial

1/x*z + x/y + 1/x*y + x/z + w/x*y*z + w*x + 1/x + 1/w/x*y + 1/w/x + 1/w/x*z + x/y/z + 1/w*x/y/z

• series expansion

1 + 8*t^2 + 360*t^4 + 23120*t^6 + 1796200*t^8 + 155711808*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

13

• cpu time

83 s

• ### polytope v12.8165

• topology

#48

• Laurent polynomial

w*x + 1/x*y + 1/x*y*z + x/z + 1/x + x/y + 1/x*z + 1/w/x*y + 1/w/x + 1/w/x*z + x/y/z + 1/w*x/y/z

• series expansion

1 + 8*t^2 + 336*t^4 + 19880*t^6 + 1420720*t^8 + 113275008*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

9

• cpu time

54 s

• ### polytope v12.8170

• topology

#46

• Laurent polynomial

1/w*x*y*z + 1/w*z + 1/w*y*z + w/y + w/z + w*x + 1/w + 1/w/x*y + 1/w/x + 1/w/x*z + w/y/z + w/x/y/z

• series expansion

1 + 8*t^2 + 360*t^4 + 23120*t^6 + 1796200*t^8 + 155711808*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

13

• cpu time

75 s

• ### polytope v12.8174

• topology

#48

• Laurent polynomial

w/x/y + w/x/y*z + 1/w*x*y + 1/w*x*y/z + 1/w*x*z + 1/w*x + 1/w*y/z + 1/w + 1/w/z + w/x + w/x/z + w/y*z

• series expansion

1 + 10*t^2 + 390*t^4 + 23500*t^6 + 1723750*t^8 + 141499260*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

305 s

• ### polytope v12.8175

• topology

#53

• Laurent polynomial

1/w + w/x/y + 1/w*z + 1/w*x + 1/w*x*z + 1/w*x*y*z + 1/w*y*z + 1/w*x*y + w/x + w/x/y/z + 1/w*y + w/y/z

• series expansion

1 + 8*t^2 + 288*t^4 + 15200*t^6 + 968800*t^8 + 68923008*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

7

• cpu time

15 s

• ### polytope v12.8176

• topology

#48

• Laurent polynomial

1/w*x*z + 1/w*x + 1/w*y + 1/w*y*z + 1/w + 1/w*z + 1/w*x*y + w/z + w/x/y + w/x/y/z + w/x/z + w/y

• series expansion

1 + 8*t^2 + 336*t^4 + 19880*t^6 + 1420720*t^8 + 113275008*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

9

• cpu time

29 s

• ### polytope v13.3754

• topology

#49

• Laurent polynomial

1/w*y + 1/w*x*y*z + 1/w*z + 1/w*y*z + w/y + w/z + w*x + 1/w + 1/w/x*y + 1/w/x + 1/w/x*z + w/y/z + w/x/y/z

• series expansion

1 + 10*t^2 + 510*t^4 + 38260*t^6 + 3473470*t^8 + 352297260*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

13

• cpu time

26 s

• ### polytope v13.3755

• topology

#52

• Laurent polynomial

1/w + w/x/y + 1/w*z + 1/w*x + 1/w*x*z + w/x/y/z + w/x/z + 1/w*x*y*z + 1/w*x*y + 1/w*y*z + w/x + 1/w*y + w/y/z

• series expansion

1 + 10*t^2 + 438*t^4 + 28900*t^6 + 2310070*t^8 + 206389260*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

7

• cpu time

18 s

• ### polytope v13.3756

• topology

#49

• Laurent polynomial

1/w + w/x/y + 1/w*z + 1/w*y + 1/w*y*z + w/x/y/z + w/z + 1/w*x*y*z + 1/w*x*y + 1/w*x*z + w/y + 1/w*x + w/x/z

• series expansion

1 + 10*t^2 + 510*t^4 + 38260*t^6 + 3473470*t^8 + 352297260*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

13

• cpu time

38 s

• ### polytope v13.3811

• topology

#47

• Laurent polynomial

1/w/x + 1/w*x*y*z + w/y + 1/w*y*z + w*x/y + 1/w/x*z + 1/w*z + 1/w/x*y + w/x/y/z + w/z + w*x/z + w/y/z + 1/w*y

• series expansion

1 + 12*t^2 + 612*t^4 + 48000*t^6 + 4580100*t^8 + 489171312*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

13

• cpu time

43 s

• ### polytope v13.7661

• topology

#40

• Laurent polynomial

1/w + 1/w*z + 1/w*x*z + 1/w*x + 1/w*x*y + 1/w*x*y*z + w/x + 1/w*y + w/x/z + w/z + w/y + w/x/y + w/x/y/z

• series expansion

1 + 12*t^2 + 588*t^4 + 46200*t^6 + 4446540*t^8 + 479645712*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

15

• cpu time

80 s

• ### polytope v14.1304

• topology

#55

• Laurent polynomial

1/w + 1/w*z + 1/w*x*z + 1/w*x + 1/w*x*y + 1/w*x*y*z + 1/w*y*z + 1/w*y + w/x/z + w/x + w/y/z + w/y + w/x/y + w/x/y/z

• series expansion

1 + 12*t^2 + 684*t^4 + 58800*t^6 + 6129900*t^8 + 714610512*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

7

• cpu time

21 s

• ### polytope v14.16326

• topology

#58

• Laurent polynomial

1/w/x*y + 1/x*y*z + y + w + z + x + 1/w*x/y + 1/w/x*z + 1/w*x/z + 1/w^3/y/z + 1/w^2/y + 1/w^2/x + 1/w^2*x/y/z + 1/w^2/z

• series expansion

1 + 72*t^4 + 1200*t^6 + 44520*t^8 + 1451520*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

64 s

• ### polytope v14.3456

• topology

#45

• Laurent polynomial

1/w*x*z + w + 1/w*x/y*z + w/x*y/z + 1/w + w/x + w/x/z + 1/w/y*z + w/x/y + 1/w*z + 1/w/y + 1/w*x*y + 1/w*x + w*y/z

• series expansion

1 + 12*t^2 + 708*t^4 + 63840*t^6 + 6989220*t^8 + 855982512*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

13

• cpu time

48 s

• ### polytope v14.3457

• topology

#44

• Laurent polynomial

w/y*z + 1/w*x*z + w/x/y*z + w*z + 1/w*x + 1/w/z + 1/w + w/x/y + w/x/z + 1/w*y/z + 1/w*x*y/z + w/x + 1/w*x*y + w

• series expansion

1 + 14*t^2 + 834*t^4 + 78260*t^6 + 8970850*t^8 + 1152334764*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

9

• cpu time

24 s

• ### polytope v14.3458

• topology

#44

• Laurent polynomial

1/w + 1/w*z + 1/w*x*z + 1/w*x + 1/w*x*y + 1/w*x*y*z + 1/w*y*z + 1/w*y + w/x/z + w/x + w/z + w/y/z + w/y + w/x/y

• series expansion

1 + 12*t^2 + 756*t^4 + 70320*t^6 + 7931700*t^8 + 1000378512*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

484 s

• ### polytope v14.3460

• topology

#45

• Laurent polynomial

1/w + 1/w*z + 1/w*x*z + 1/w*x + 1/w*x*y + 1/w*x*y*z + 1/w*y*z + 1/w*y + w/x/z + w/x + w/z + w/y + w/x/y + w/x/y/z

• series expansion

1 + 12*t^2 + 708*t^4 + 63840*t^6 + 6989220*t^8 + 855982512*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

13

• cpu time

73 s

• ### polytope v15.1163

• topology

#51

• Laurent polynomial

1/w + 1/w*z + 1/w*x*z + 1/w*x + 1/w*x*y + 1/w*x*y*z + 1/w*y*z + 1/w*y + w/x/z + w/x + w/z + w/y/z + w/y + w/x/y + w/x/y/z

• series expansion

1 + 14*t^2 + 978*t^4 + 103820*t^6 + 13387570*t^8 + 1931770764*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

13

• cpu time

27 s

• ### polytope v16.251

• topology

#57

• Laurent polynomial

1/w + 1/w*z + 1/w*x*z + 1/w*x + 1/w*x*y + 1/w*x*y*z + 1/w*y*z + 1/w*y + w/x/z + w/x + w + w/z + w/y/z + w/y + w/x/y + w/x/y/z

• series expansion

1 + 16*t^2 + 1296*t^4 + 160000*t^6 + 24010000*t^8 + 4032758016*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

5

• cpu time

9 s

• ### polytope v18.10805

• topology

#28

• Laurent polynomial

w/y/z + w*x/y/z + y + w/z + 1/x*y*z + z + 1/w + x/y/z + x + 1/y + 1/w/x*z + y*z + 1/z + x/z + 1/w*y*z + 1/x + w*x/y/z^2 + w

• series expansion

1 + 12*t^2 + 78*t^3 + 972*t^4 + 10980*t^5 + 141690*t^6 + 1864800*t^7 + 25634700*t^8 + 360943800*t^9 + 5199410412*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

31

• cpu time

126 s

• ### polytope v18.16766

• topology

#17

• Laurent polynomial

1/z + y + w*x*y*z^2 + 1/x + y*z + 1/x/z + 1/w/x/y/z^2 + w*y*z + 1/w + x*z + x*y*z + 1/w/z + w*z + w + w*x*z + x + 1/y + 1/y/z

• series expansion

1 + 14*t^2 + 72*t^3 + 978*t^4 + 10560*t^5 + 134780*t^6 + 1743840*t^7 + 23601970*t^8 + 327337920*t^9 + 4644752364*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

29

• cpu time

352 s

• ### polytope v18.5768

• topology

#17

• Laurent polynomial

1/z + w + y + x + 1/w*y + w/x + w/y + w/x/y + 1/y + 1/x + 1/w + 1/w*x + w/x/y*z + 1/w*z + z + 1/x/z + 1/y/z + 1/w*x*y

• series expansion

1 + 14*t^2 + 72*t^3 + 978*t^4 + 10560*t^5 + 134780*t^6 + 1743840*t^7 + 23601970*t^8 + 327337920*t^9 + 4644752364*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

29

• cpu time

1056 s

• ### polytope v19.10861

• topology

#43

• Laurent polynomial

1/w/z + y + w/x*z + 1/x + 1/w + z + 1/y + 1/w*x + w/x/y*z + 1/w*x/z + 1/z + x*y + w + w/x + x + w^2/x^2/y*z + w/x/y + 1/w*x*y + 1/w^2*x/z

• series expansion

1 + 14*t^2 + 96*t^3 + 1266*t^4 + 15600*t^5 + 214340*t^6 + 3040800*t^7 + 44853970*t^8 + 678924960*t^9 + 10507456764*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

81 s

• ### polytope v19.10958

• topology

#43

• Laurent polynomial

1/z + y + w*x*y*z^2 + 1/x + y*z + 1/x/z + 1/w/x/y/z^2 + w*y*z + 1/w + x*z + x*y*z + 1/w/z + 1/w/x/y/z + w*z + w + w*x*z + x + 1/y + 1/y/z

• series expansion

1 + 14*t^2 + 96*t^3 + 1266*t^4 + 15600*t^5 + 214340*t^6 + 3040800*t^7 + 44853970*t^8 + 678924960*t^9 + 10507456764*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

1155 s

• ### polytope v19.2043

• topology

#43

• Laurent polynomial

y + 1/w*y/z + x + 1/w*x/z + z + 1/w + 1/x + 1/x/y*z + 1/x*y + 1/x*z + y/z + x/z + w*x + x/y + 1/z + 1/y + 1/y*z + w + w*y

• series expansion

1 + 14*t^2 + 96*t^3 + 1266*t^4 + 15600*t^5 + 214340*t^6 + 3040800*t^7 + 44853970*t^8 + 678924960*t^9 + 10507456764*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

603 s

• ### polytope v19.2174

• topology

#37

• Laurent polynomial

w/x/z + y + 1/w + 1/w*y + z + 1/x*y + w/x + x/y + 1/y*z + 1/x*z + 1/x + 1/y + 1/w*x/y + 1/w*x + 1/x*y/z + 1/z + x + w + w/z

• series expansion

1 + 12*t^2 + 96*t^3 + 1116*t^4 + 14040*t^5 + 186960*t^6 + 2610720*t^7 + 37725660*t^8 + 560071680*t^9 + 8497441512*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

7038 s

• ### polytope v19.247

• topology

#37

• Laurent polynomial

1/z + z + 1/w/x*z + w + w/y + 1/x + 1/w*x + x + 1/y + 1/w*z + 1/w + x/z + w/y/z + 1/y/z + 1/w*y*z + 1/w/x*y*z + 1/x*y + y + w/z

• series expansion

1 + 12*t^2 + 96*t^3 + 1116*t^4 + 14040*t^5 + 186960*t^6 + 2610720*t^7 + 37725660*t^8 + 560071680*t^9 + 8497441512*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

665 s

• ### polytope v19.3113

• topology

#37

• Laurent polynomial

1/z + 1/x*z + 1/w + 1/w*y + z + x + 1/w*x + x/z + 1/w*x/z + 1/w*x/y + 1/y*z + w + w/x + 1/x/y*z + 1/x + 1/x*y + y + w/z + 1/y

• series expansion

1 + 12*t^2 + 96*t^3 + 1116*t^4 + 14040*t^5 + 186960*t^6 + 2610720*t^7 + 37725660*t^8 + 560071680*t^9 + 8497441512*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

82 s

• ### polytope v19.469

• topology

#16

• Laurent polynomial

w/y + 1/w*x*y/z + y/z + y + 1/w*x/z + 1/w*x + w/x/y*z + 1/x*z + 1/y*z + 1/y + 1/w + z + w/y*z + 1/x + w/x + 1/w/z + 1/z + x + w

• series expansion

1 + 14*t^2 + 96*t^3 + 1218*t^4 + 14940*t^5 + 201380*t^6 + 2820300*t^7 + 40951330*t^8 + 611149560*t^9 + 9318590064*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9

• operators

• order

22

• degree

383

• cpu time

76248 s

• ### polytope v19.5882

• topology

#22

• Laurent polynomial

1/w*z + 1/w*x + 1/x*z + w/y + x/y/z + 1/y + w/y/z + 1/z + z + 1/x*y*z + x + w + 1/x + 1/y/z + 1/w*y + 1/w + 1/w*x/z + 1/x*y + y

• series expansion

1 + 12*t^2 + 96*t^3 + 1068*t^4 + 13500*t^5 + 176520*t^6 + 2441040*t^7 + 34844460*t^8 + 511438200*t^9 + 7670635812*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6

• operators

• order

16

• degree

206

• cpu time

3214 s

• ### polytope v19.8647

• topology

#37

• Laurent polynomial

1/w*x*z + z + w + 1/x*y + x + 1/w*y + y + 1/w/x*y + 1/w + 1/x + 1/w*x + x/y + w/y + 1/y + w/x + w^2/y/z + w/y/z + w/z + w*x/y/z

• series expansion

1 + 12*t^2 + 96*t^3 + 1116*t^4 + 14040*t^5 + 186960*t^6 + 2610720*t^7 + 37725660*t^8 + 560071680*t^9 + 8497441512*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

775 s

• ### polytope v20.1268

• topology

#43

• Laurent polynomial

1/x*z + z + 1/w/x*y*z + 1/w/x + 1/z + 1/w*y*z + y*z + w/z + w + 1/x*y*z + y + x + x/y/z + 1/w + 1/w/y + 1/w*z + 1/w/x*z + 1/x + 1/y + w*x/y/z

• series expansion

1 + 14*t^2 + 96*t^3 + 1266*t^4 + 15600*t^5 + 214340*t^6 + 3040800*t^7 + 44853970*t^8 + 678924960*t^9 + 10507456764*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

2391 s

• ### polytope v20.1278

• topology

#33

• Laurent polynomial

1/x*y + 1/x*y*z + 1/w*x + 1/w*z + w/y + x/y + 1/y + x + z + w + x/y/z + w/x + x/z + 1/w + 1/y/z + 1/z + 1/w*y + 1/w/x*y*z + 1/x + y

• series expansion

1 + 16*t^2 + 108*t^3 + 1512*t^4 + 19320*t^5 + 275740*t^6 + 4075680*t^7 + 62521480*t^8 + 985325040*t^9 + 15871428216*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2

• operators

• order

8

• degree

39

• cpu time

480 s

• ### polytope v20.1295

• topology

#22

• Laurent polynomial

w/z + y + w + z + 1/w/x*y*z + x/y + w/y/z + 1/w/x*z + 1/y + 1/w/x*y + 1/w*y + 1/w + 1/z + 1/w/x + 1/x*z + 1/x + x/y/z + 1/y/z + w*x/y/z + x

• series expansion

1 + 10*t^2 + 96*t^3 + 1014*t^4 + 12600*t^5 + 166420*t^6 + 2278080*t^7 + 32378710*t^8 + 472622640*t^9 + 7048529460*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

26

• cpu time

1134 s

• ### polytope v20.1454

• topology

#37

• Laurent polynomial

1/z + w/y + w + 1/w/x + 1/w/x*y + 1/w*z + 1/w*y*z + 1/y + 1/w + 1/x + 1/x/z + z + w/y/z + 1/y/z + y + 1/x*y + 1/w*x*z + w/z + 1/x*y/z + x

• series expansion

1 + 12*t^2 + 96*t^3 + 1116*t^4 + 14040*t^5 + 186960*t^6 + 2610720*t^7 + 37725660*t^8 + 560071680*t^9 + 8497441512*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

163 s

• ### polytope v20.15

• topology

#33

• Laurent polynomial

1/w*z + 1/x*z + 1/w*y*z + z + w/x + x/y/z + 1/z + 1/w*x + x + w + w/y/z + x/y + y + 1/x*y + 1/w*y + w/x/z + 1/w*x*z + 1/w + 1/x + 1/y

• series expansion

1 + 16*t^2 + 108*t^3 + 1512*t^4 + 19320*t^5 + 275740*t^6 + 4075680*t^7 + 62521480*t^8 + 985325040*t^9 + 15871428216*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2

• operators

• order

8

• degree

39

• cpu time

3281 s

• ### polytope v20.1522

• topology

#37

• Laurent polynomial

w/x/y + z + 1/x/y*z + 1/y + x + w/y + 1/w*y/z + 1/w/z + y + 1/x + 1/w*x*y + 1/w + 1/x/y + w/x/y*z + w + w/x + x/z + 1/z + 1/w*x*y/z + 1/w*x/z

• series expansion

1 + 12*t^2 + 96*t^3 + 1116*t^4 + 14040*t^5 + 186960*t^6 + 2610720*t^7 + 37725660*t^8 + 560071680*t^9 + 8497441512*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

293 s

• ### polytope v20.17

• topology

#16

• Laurent polynomial

1/w*x + 1/x + z + 1/w*z + w/x/z + w + y + x + w/y/z + w/x/y/z + 1/x/z + 1/z + 1/w*x*z + 1/y + w/y + 1/y/z + 1/x*y + 1/x/y/z + 1/w*y*z + 1/w

• series expansion

1 + 12*t^2 + 96*t^3 + 1116*t^4 + 13800*t^5 + 184440*t^6 + 2554020*t^7 + 36768060*t^8 + 543107040*t^9 + 8201165112*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

83

• cpu time

1029 s

• ### polytope v20.2128

• topology

#33

• Laurent polynomial

1/y + 1/w*y + y/z + 1/x*y + y + z + 1/w*z + 1/w*x + x + 1/y*z + w/y + w + 1/w + x/z + w/z + 1/x + 1/x*z + 1/z + 1/w*x/z + 1/x/y*z

• series expansion

1 + 16*t^2 + 108*t^3 + 1512*t^4 + 19320*t^5 + 275740*t^6 + 4075680*t^7 + 62521480*t^8 + 985325040*t^9 + 15871428216*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2

• operators

• order

8

• degree

39

• cpu time

6577 s

• ### polytope v20.2214

• topology

#43

• Laurent polynomial

1/x + 1/w*x*z + 1/w*x + 1/y + 1/w*z + 1/y/z + y + 1/w*y*z + 1/z + x + w/x + z + w/x/y + w + w/x/z + w/x/y/z + 1/w*x*y + 1/w + 1/w*y + 1/x*z

• series expansion

1 + 14*t^2 + 96*t^3 + 1266*t^4 + 15600*t^5 + 214340*t^6 + 3040800*t^7 + 44853970*t^8 + 678924960*t^9 + 10507456764*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

119 s

• ### polytope v20.2315

• topology

#16

• Laurent polynomial

1/w*x + 1/w*x*y + x + 1/w*z + 1/x/y*z + 1/y*z + 1/w*y + 1/w + 1/y + 1/x/y + z + w + w/x/z + 1/x + 1/z + w/x/y/z + 1/x/z + w/x/y + y + w/z

• series expansion

1 + 12*t^2 + 96*t^3 + 1116*t^4 + 13800*t^5 + 184440*t^6 + 2554020*t^7 + 36768060*t^8 + 543107040*t^9 + 8201165112*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

83

• cpu time

888 s

• ### polytope v20.3292

• topology

#43

• Laurent polynomial

w/x/y + 1/x*z + 1/w*x/y/z + x/y + 1/w*x/z + x + z + w/y + 1/y + w/x + 1/y/z + w + y + 1/w/z + 1/x*y + 1/w*y + 1/x + 1/w*x + 1/w*x*y + 1/w

• series expansion

1 + 14*t^2 + 96*t^3 + 1266*t^4 + 15600*t^5 + 214340*t^6 + 3040800*t^7 + 44853970*t^8 + 678924960*t^9 + 10507456764*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

8862 s

• ### polytope v20.352

• topology

#16

• Laurent polynomial

w/x/y + 1/w*x/z + 1/w*x*y/z + 1/x*z + 1/x + 1/w*y + 1/x/y*z + 1/w + y + w/x + 1/w/z + 1/z + x/z + 1/y + 1/x/y + x + z + 1/y*z + w/x/y*z + w

• series expansion

1 + 12*t^2 + 96*t^3 + 1116*t^4 + 13800*t^5 + 184440*t^6 + 2554020*t^7 + 36768060*t^8 + 543107040*t^9 + 8201165112*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

83

• cpu time

5092 s

• ### polytope v20.3874

• topology

#43

• Laurent polynomial

1/z + w + 1/w*y*z + y + 1/w*z + 1/w*x*y + x + w/y + 1/w*x + 1/w + 1/w*x/z + 1/x/y + 1/y/z + 1/w*y + 1/w*x*y/z + w/x/y + 1/y + z + w/x + 1/x

• series expansion

1 + 14*t^2 + 96*t^3 + 1266*t^4 + 15600*t^5 + 214340*t^6 + 3040800*t^7 + 44853970*t^8 + 678924960*t^9 + 10507456764*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

66 s

• ### polytope v20.4328

• topology

#25

• Laurent polynomial

1/z + 1/w*x^2/z + w + x + x/z + 1/w*x*y/z + y + 1/y + 1/x*z + 1/w*x + w/x/y*z + 1/w + 1/x/y*z + 1/w*y + 1/x + w/x + z + 1/x*y + 1/w*x/z + w/x/y

• series expansion

1 + 14*t^2 + 102*t^3 + 1362*t^4 + 17340*t^5 + 245390*t^6 + 3584700*t^7 + 54485410*t^8 + 849558360*t^9 + 13546570464*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

83

• cpu time

665 s

• ### polytope v20.4703

• topology

#43

• Laurent polynomial

1/z + w + x + x/y + 1/w*x/y^2*z + w/x + 1/y*z + 1/y + 1/w + y/z + 1/w*x/y*z + 1/w/y*z + 1/x*z + y + 1/x*y/z + 1/x*y + 1/x + z + x/z + 1/w*x/y

• series expansion

1 + 14*t^2 + 96*t^3 + 1266*t^4 + 15600*t^5 + 214340*t^6 + 3040800*t^7 + 44853970*t^8 + 678924960*t^9 + 10507456764*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

616 s

• ### polytope v20.5206

• topology

#37

• Laurent polynomial

1/w*x + 1/w*x*z + 1/w*x*y + x + w + w/x/z + 1/x + z + 1/y*z + w/x^2/y/z + 1/x/z + 1/w + 1/w*y + y + 1/x/y + w/x/y + w/x/y/z + 1/z + w/z + 1/y

• series expansion

1 + 12*t^2 + 96*t^3 + 1116*t^4 + 14040*t^5 + 186960*t^6 + 2610720*t^7 + 37725660*t^8 + 560071680*t^9 + 8497441512*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

876 s

• ### polytope v20.5234

• topology

#37

• Laurent polynomial

1/w*x + z + 1/x/y*z + w/x/y^2*z + 1/y + 1/y*z + x + w/x/y + y/z + 1/x/z + 1/w*y/z + y + 1/w*x*y/z + w + w/y + 1/z + 1/x + 1/x/y + 1/w*x*y + 1/w

• series expansion

1 + 12*t^2 + 96*t^3 + 1116*t^4 + 14040*t^5 + 186960*t^6 + 2610720*t^7 + 37725660*t^8 + 560071680*t^9 + 8497441512*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

1981 s

• ### polytope v20.5946

• topology

#37

• Laurent polynomial

1/w*x*z + x + 1/w + w/y/z + x/y + w + w/y + 1/y + 1/x*y + 1/w*y + z + 1/x + 1/w/x*y + w/x/y/z + 1/x/z + w/x + y + w/y^2/z + 1/w*x + 1/y/z

• series expansion

1 + 12*t^2 + 96*t^3 + 1116*t^4 + 14040*t^5 + 186960*t^6 + 2610720*t^7 + 37725660*t^8 + 560071680*t^9 + 8497441512*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

1825 s

• ### polytope v20.6082

• topology

#43

• Laurent polynomial

w/y + x + 1/w/z + 1/w*x*y/z + 1/w*y + y + 1/w + 1/w^2*x*y + 1/w*x*y + 1/w^2*x*y/z + 1/x*z + w/x*z + w/x + 1/x + 1/w*x + z + 1/z + w/x/y*z + 1/y + w

• series expansion

1 + 14*t^2 + 96*t^3 + 1266*t^4 + 15600*t^5 + 214340*t^6 + 3040800*t^7 + 44853970*t^8 + 678924960*t^9 + 10507456764*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

120 s

• ### polytope v20.6409

• topology

#43

• Laurent polynomial

1/w^2*x*y + w/x^2/y/z + w/x + 1/x + 1/w*y + z + 1/x/y/z + y + 1/x/z + 1/y + w^2/x/y + w/x/y + x + w/x/y/z + w/y + w + 1/w*x*z + 1/w*x + 1/w + 1/w*x*y

• series expansion

1 + 14*t^2 + 96*t^3 + 1266*t^4 + 15600*t^5 + 214340*t^6 + 3040800*t^7 + 44853970*t^8 + 678924960*t^9 + 10507456764*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

115 s

• ### polytope v20.6493

• topology

#33

• Laurent polynomial

1/w*x + 1/w*x*z + x + 1/w*y + 1/w*z + 1/w + 1/x + z + y + 1/w^2*x*y*z + w^2/x/y/z + w/y + w + w/x + w/x/z + w/x/y/z + 1/y + 1/w*x*y + 1/w^2*x*y + 1/z

• series expansion

1 + 16*t^2 + 108*t^3 + 1512*t^4 + 19320*t^5 + 275740*t^6 + 4075680*t^7 + 62521480*t^8 + 985325040*t^9 + 15871428216*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2

• operators

• order

8

• degree

39

• cpu time

449 s

• ### polytope v20.6500

• topology

#33

• Laurent polynomial

x/y + 1/x + 1/x*y + 1/w*y + w/x + z + x/y*z + 1/x/z + 1/x^2*y/z + 1/w + 1/w*x*z + 1/w*x + 1/y + y + 1/x*y/z + w + x + w/y + 1/z + 1/w*x^2/y*z

• series expansion

1 + 16*t^2 + 108*t^3 + 1488*t^4 + 19080*t^5 + 270700*t^6 + 3990000*t^7 + 61030480*t^8 + 958683600*t^9 + 15397391016*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

68

• cpu time

952 s

• ### polytope v21.1149

• topology

#33

• Laurent polynomial

w/y + z + x/y + x + 1/w*y + y + 1/w*x/z + 1/x*y/z + 1/x*y + 1/x + 1/y + w/x + 1/w*y/z + 1/z + 1/w*x + 1/x*z + 1/w + 1/w*x/y + 1/w/z + 1/y*z + w

• series expansion

1 + 14*t^2 + 114*t^3 + 1410*t^4 + 18780*t^5 + 263930*t^6 + 3899700*t^7 + 59594290*t^8 + 935871720*t^9 + 15020946864*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2

• operators

• order

8

• degree

38

• cpu time

2284 s

• ### polytope v21.1165

• topology

#20

• Laurent polynomial

x/y + x + 1/x/z + w/x/z + w/z + y/z + y + 1/w/x*y + 1/x*y + 1/y + 1/x + 1/w + 1/w*x/y*z + z + 1/w*z + 1/w*y + w/x + 1/x*y/z + 1/z + w/y + w

• series expansion

1 + 14*t^2 + 114*t^3 + 1434*t^4 + 19320*t^5 + 273290*t^6 + 4087020*t^7 + 63037450*t^8 + 1000184640*t^9 + 16215395364*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4

• operators

• order

12

• degree

140

• cpu time

10040 s

• ### polytope v21.1167

• topology

#20

• Laurent polynomial

1/w/x*y*z + 1/x*y + 1/z + 1/y/z + 1/w*y + 1/w + x + w/y + w + 1/w*x + x/y + 1/w*z + 1/y + w/y/z + 1/w*x/y + x/y/z + y + z + w/x + 1/x + w/x/z

• series expansion

1 + 14*t^2 + 114*t^3 + 1410*t^4 + 19080*t^5 + 267890*t^6 + 4001340*t^7 + 61462450*t^8 + 972499920*t^9 + 15715679364*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4

• operators

• order

12

• degree

118

• cpu time

1901 s

• ### polytope v21.1188

• topology

#36

• Laurent polynomial

1/w*z + 1/w*x + 1/w/x*z + 1/w*y + z + y + x + 1/w/x*y + 1/w + w + 1/x*y + 1/x*z + 1/x + w/y/z + w/y + w/z + x/y/z + 1/z + x/z + 1/y + x/y

• series expansion

1 + 16*t^2 + 114*t^3 + 1632*t^4 + 21360*t^5 + 314350*t^6 + 4766580*t^7 + 75204640*t^8 + 1217574960*t^9 + 20157507216*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

31

• cpu time

336 s

• ### polytope v21.120

• topology

#10

• Laurent polynomial

1/y + 1/w*z + z + 1/w*x*z + 1/w/x*y + 1/y*z + w/x/z + w/x + w/y + x/y + y + w + 1/x*y + 1/z + 1/w*x + x + 1/w*y + w/y/z + 1/x + 1/w*x/y*z + 1/w

• series expansion

1 + 16*t^2 + 114*t^3 + 1584*t^4 + 20940*t^5 + 303190*t^6 + 4580520*t^7 + 71654800*t^8 + 1152128040*t^9 + 18933486516*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6

• operators

• order

16

• degree

221

• cpu time

4810 s

• ### polytope v21.1249

• topology

#36

• Laurent polynomial

1/y*z + 1/x + 1/y + w/z + w/x + w + 1/x*y + w/x/z + w/y + x/y/z + w/y/z + x/y + 1/z + y + 1/w/x*y + x + 1/w*x + z + 1/w*z + 1/w*y + 1/w

• series expansion

1 + 16*t^2 + 114*t^3 + 1632*t^4 + 21360*t^5 + 314350*t^6 + 4766580*t^7 + 75204640*t^8 + 1217574960*t^9 + 20157507216*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

31

• cpu time

2632 s

• ### polytope v21.1330

• topology

#36

• Laurent polynomial

w/x/y + z + x/y/z + 1/w*x/z + 1/w/z + 1/w*x*y + 1/x*z + 1/y + 1/x*y*z + 1/x + 1/w + 1/w*x + y + 1/w*y + 1/y/z + x + 1/z + w/y + w/x/y*z + w/x*z + w

• series expansion

1 + 16*t^2 + 114*t^3 + 1632*t^4 + 21360*t^5 + 314350*t^6 + 4766580*t^7 + 75204640*t^8 + 1217574960*t^9 + 20157507216*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

31

• cpu time

5348 s

• ### polytope v21.1427

• topology

#36

• Laurent polynomial

1/z + w + y + x + 1/w*z + z + w/x/y + 1/w*y*z + 1/x + 1/w + 1/w*y + 1/x/z + 1/x*y + w/x + w/y + 1/w*x*z + x/y + 1/y + 1/w*x + 1/y/z + 1/w*x*y

• series expansion

1 + 16*t^2 + 114*t^3 + 1632*t^4 + 21360*t^5 + 313990*t^6 + 4761540*t^7 + 75080320*t^8 + 1215306960*t^9 + 20112374016*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4

• operators

• order

12

• degree

116

• cpu time

3625 s

• ### polytope v21.1890

• topology

#16

• Laurent polynomial

1/z + x + w + 1/w*y/z + 1/w + 1/w*x*y + 1/w*x + 1/w*x*y/z + w/x + 1/x + y + 1/w/z + 1/x/z + w/x/y*z + 1/x/y + 1/y*z + 1/x/y*z + z + 1/w/y + 1/y + w/x/y

• series expansion

1 + 14*t^2 + 96*t^3 + 1218*t^4 + 14940*t^5 + 201380*t^6 + 2820300*t^7 + 40951330*t^8 + 611149560*t^9 + 9318590064*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9

• operators

• order

22

• degree

383

• cpu time

17686 s

• ### polytope v21.1897

• topology

#37

• Laurent polynomial

1/w*x/z + 1/w*x*y + x + 1/x*z + 1/w*y + w/x/y + w/y + 1/y + 1/x + 1/z + 1/x/y + 1/x/y/z + w/x/y/z + 1/y/z + 1/w + 1/w/z + z + 1/w*y*z + w + y + 1/w*x

• series expansion

1 + 12*t^2 + 96*t^3 + 1116*t^4 + 14040*t^5 + 186960*t^6 + 2610720*t^7 + 37725660*t^8 + 560071680*t^9 + 8497441512*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

695 s

• ### polytope v21.1908

• topology

#15

• Laurent polynomial

x/y + 1/w*z + 1/x + 1/y + 1/x*y + 1/w*x*z + z + 1/w/x*y + 1/w + 1/w*x/y*z + 1/x*y/z + w/x/z + 1/x/z + 1/w*y + 1/w*x + y + w/x*y/z + 1/z + w + w/y + x

• series expansion

1 + 16*t^2 + 114*t^3 + 1536*t^4 + 20520*t^5 + 292030*t^6 + 4403280*t^7 + 68316640*t^8 + 1092018480*t^9 + 17829518616*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10

• operators

• order

24

• degree

477

• cpu time

32515 s

• ### polytope v21.1913

• topology

#33

• Laurent polynomial

1/w*x + w/y + z + w/x + w/x/z + 1/x/z + 1/w*z + 1/x*y + 1/w*y + 1/x + 1/w + 1/w/x*y + 1/y + y + w + 1/w*x*z + w/x/y/z + x/y + 1/y/z + 1/z + x

• series expansion

1 + 16*t^2 + 108*t^3 + 1512*t^4 + 19320*t^5 + 275740*t^6 + 4075680*t^7 + 62521480*t^8 + 985325040*t^9 + 15871428216*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2

• operators

• order

8

• degree

39

• cpu time

1714 s

• ### polytope v21.2050

• topology

#36

• Laurent polynomial

1/y/z + x/y + 1/w*x*z + 1/w*z + x + 1/y + 1/x*y + 1/x + 1/w*y + 1/w*y*z + y + w/x/y + z + w + w/x + w/y + w/x/y/z + 1/x/z + 1/w*x + 1/w + 1/w*x*y

• series expansion

1 + 14*t^2 + 114*t^3 + 1506*t^4 + 19980*t^5 + 290570*t^6 + 4375560*t^7 + 68454610*t^8 + 1099258440*t^9 + 18045728064*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4

• operators

• order

12

• degree

139

• cpu time

12838 s

• ### polytope v21.2052

• topology

#36

• Laurent polynomial

w/x/y + w + 1/x*z + 1/y*z + 1/y + x/y + 1/w*x + 1/w*x*y + x + 1/w*y/z + 1/w*x/z + 1/w + 1/x*y + 1/w*y + y + 1/w/z + z + w/x/y*z + 1/x + w/x + w/y

• series expansion

1 + 14*t^2 + 114*t^3 + 1506*t^4 + 20100*t^5 + 291290*t^6 + 4395720*t^7 + 68773810*t^8 + 1105064520*t^9 + 18149413464*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

31

• cpu time

485 s

• ### polytope v21.2054

• topology

#36

• Laurent polynomial

w/x/y + z + 1/y*z + 1/x*z + w/x/y*z + 1/w*x/z + y + x + x/y + w/y + 1/w*x*y + 1/w*y + 1/w*x + 1/x*y + w/x + 1/x + 1/y + 1/w + 1/z + 1/w/z + w

• series expansion

1 + 16*t^2 + 114*t^3 + 1632*t^4 + 21360*t^5 + 314350*t^6 + 4766580*t^7 + 75204640*t^8 + 1217574960*t^9 + 20157507216*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

31

• cpu time

556 s

• ### polytope v21.2112

• topology

#36

• Laurent polynomial

w/x + z + 1/y + 1/x*z + w/x*z + x + 1/w*x + 1/w*x/y/z + x/y/z + w/y/z + 1/w*y*z + 1/w + 1/y/z + 1/w*y + 1/w/z + 1/z + 1/x*y*z + 1/x + y + w + w/y

• series expansion

1 + 16*t^2 + 114*t^3 + 1608*t^4 + 21120*t^5 + 308950*t^6 + 4675860*t^7 + 73532200*t^8 + 1187289600*t^9 + 19599251616*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

82

• cpu time

799 s

• ### polytope v21.2136

• topology

#37

• Laurent polynomial

w/x + w + 1/x*z + z + x/y + 1/y + x + 1/x + 1/x*y + 1/x*y/z + y + 1/w*x/z + 1/w*y/z + 1/z + 1/w*x/y + 1/w/z + 1/w*x + 1/w + 1/w*y + 1/w*x/y/z + 1/y*z

• series expansion

1 + 12*t^2 + 96*t^3 + 1116*t^4 + 14040*t^5 + 186960*t^6 + 2610720*t^7 + 37725660*t^8 + 560071680*t^9 + 8497441512*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

159 s

• ### polytope v21.2200

• topology

#21

• Laurent polynomial

1/w*x + 1/x + z + 1/w*z + w + w/y/z + w/x/y/z^2 + y + x + 1/z + 1/w*x*z + 1/y + w/y + 1/y/z + 1/x*y + 1/x/z + w/x/y/z + w/x/z + 1/x/y/z + 1/w*y*z + 1/w

• series expansion

1 + 12*t^2 + 96*t^3 + 1188*t^4 + 14700*t^5 + 202080*t^6 + 2851380*t^7 + 41966820*t^8 + 632761080*t^9 + 9760169412*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4

• operators

• order

12

• degree

107

• cpu time

12164 s

• ### polytope v21.2290

• topology

#3

• Laurent polynomial

x/y + 1/x + 1/x^2*y/z + 1/x*y + 1/w + 1/w*x + 1/w*x*z + y + 1/x*y/z + w/x/z + w/z + x + 1/w*y + 1/x/z + 1/z + 1/w*x/y*z + w/x + 1/y + z + w + w/y

• series expansion

1 + 16*t^2 + 114*t^3 + 1608*t^4 + 21300*t^5 + 311110*t^6 + 4735500*t^7 + 74630920*t^8 + 1209432840*t^9 + 20028716316*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8

• operators

• order

20

• degree

356

• cpu time

12432 s

• ### polytope v21.2347

• topology

#10

• Laurent polynomial

1/w*x + 1/z + w + w/y/z + x + z + w/y + x/y + 1/y + 1/y/z + w/y^2/z + 1/w + x/y/z + y + 1/w*y + 1/w*y*z + 1/w/x*y*z + 1/x*y*z + 1/w/x*y + 1/x + 1/x*y

• series expansion

1 + 16*t^2 + 114*t^3 + 1584*t^4 + 20940*t^5 + 303190*t^6 + 4580520*t^7 + 71654800*t^8 + 1152128040*t^9 + 18933486516*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6

• operators

• order

16

• degree

221

• cpu time

4294 s

• ### polytope v21.2574

• topology

#25

• Laurent polynomial

1/x + z + 1/y + y + w/y/z + x/y/z + x + 1/y/z + 1/w*x/z + 1/w + 1/w*y + 1/w*x + w + 1/z + w/x + w/y + w/y^2/z + w/x/y + 1/x*z + 1/x*y*z + 1/w/x*y*z

• series expansion

1 + 14*t^2 + 102*t^3 + 1362*t^4 + 17340*t^5 + 245390*t^6 + 3584700*t^7 + 54485410*t^8 + 849558360*t^9 + 13546570464*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

83

• cpu time

1087 s

• ### polytope v21.2780

• topology

#36

• Laurent polynomial

w/x/y + w + w/x/y*z + w/x + w/y + 1/w*y + 1/w + 1/y*z + 1/w*x + 1/w*x/z + x/y + 1/y + 1/x*z + 1/w^2*x*y/z + 1/w*y/z + 1/x*y + 1/x + z + x + y + 1/z

• series expansion

1 + 14*t^2 + 114*t^3 + 1506*t^4 + 19980*t^5 + 290570*t^6 + 4375560*t^7 + 68454610*t^8 + 1099258440*t^9 + 18045728064*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4

• operators

• order

12

• degree

139

• cpu time

2281 s

• ### polytope v21.2858

• topology

#43

• Laurent polynomial

x + w + 1/x/y/z + w/x^2/z + 1/x/z + w/x + w/x/y + w/x/z + y + w/x^2/y/z + 1/x + z + 1/w + 1/w/y + 1/w*x + 1/z + 1/w*x*y + 1/w*x*y*z + 1/w*x*z + 1/x/y + 1/y

• series expansion

1 + 14*t^2 + 96*t^3 + 1266*t^4 + 15600*t^5 + 214340*t^6 + 3040800*t^7 + 44853970*t^8 + 678924960*t^9 + 10507456764*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

239 s

• ### polytope v21.3160

• topology

#36

• Laurent polynomial

w/x/z + w + w/x*y/z + w/x + 1/w + 1/x*y/z + 1/x*y + 1/x + y + 1/w*y + 1/w*x/y + 1/z + 1/w*x/y*z + 1/w*z + x/y + 1/w*x + x + z + 1/y + w/y + w/x^2*y/z

• series expansion

1 + 16*t^2 + 114*t^3 + 1632*t^4 + 21360*t^5 + 314350*t^6 + 4766580*t^7 + 75204640*t^8 + 1217574960*t^9 + 20157507216*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

31

• cpu time

5246 s

• ### polytope v21.3212

• topology

#36

• Laurent polynomial

1/z + 1/x*y + y + z + 1/w*x*y/z + 1/x + 1/w*y/z + 1/y*z + 1/w^2*x*y/z + 1/w + 1/w*y + x + 1/y + 1/w*x/z + x/y + 1/w*x + 1/x*z + w/x + w + w/y + w/x/y

• series expansion

1 + 14*t^2 + 114*t^3 + 1506*t^4 + 20100*t^5 + 291290*t^6 + 4395720*t^7 + 68773810*t^8 + 1105064520*t^9 + 18149413464*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

31

• cpu time

414 s

• ### polytope v21.3374

• topology

#25

• Laurent polynomial

1/w*x + 1/x*y + 1/w/x*y*z + 1/y + w/y + 1/w + 1/y/z + w/y^2/z + x/y + 1/x + 1/w*y*z + 1/w/x*y + 1/w*y + z + 1/w/x*y^2*z + 1/x/z + w/y/z + w + y + 1/z + x

• series expansion

1 + 14*t^2 + 102*t^3 + 1362*t^4 + 17340*t^5 + 245390*t^6 + 3584700*t^7 + 54485410*t^8 + 849558360*t^9 + 13546570464*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

83

• cpu time

5244 s

• ### polytope v21.3381

• topology

#25

• Laurent polynomial

1/w^2*x^2/y*z + y + 1/x*y + 1/w*x*z + w/x + x + 1/x/z + w/x/z + 1/z + w + 1/w*x^2/y*z + 1/x*y/z + 1/w*x + 1/x + 1/w + z + 1/w*x/y*z + w/x^2/z + 1/w*x/y + 1/y + x/y

• series expansion

1 + 14*t^2 + 102*t^3 + 1362*t^4 + 17340*t^5 + 245390*t^6 + 3584700*t^7 + 54485410*t^8 + 849558360*t^9 + 13546570464*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

83

• cpu time

1296 s

• ### polytope v21.3396

• topology

#43

• Laurent polynomial

w/z + y + 1/w*y*z + 1/w^2/x*y^2*z + 1/w*y + 1/w*z + z + 1/w/x*y*z + w/y + 1/x + x/y + 1/y/z + 1/w/x + 1/w + 1/w^2/x*y*z + 1/w/x*y + 1/z + 1/y + w/y/z + x + w

• series expansion

1 + 14*t^2 + 96*t^3 + 1266*t^4 + 15600*t^5 + 214340*t^6 + 3040800*t^7 + 44853970*t^8 + 678924960*t^9 + 10507456764*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

91 s

• ### polytope v21.3397

• topology

#20

• Laurent polynomial

1/w*x + 1/w*x*z + x + 1/w^2*x*y*z + w + z + w/y + w^2/x/y/z + 1/x + 1/w + 1/x/z + w/x/y/z + w/y/z + 1/y/z + 1/z + 1/w*z + 1/y + w/x + y + w/x/z + 1/w*y

• series expansion

1 + 16*t^2 + 108*t^3 + 1536*t^4 + 19560*t^5 + 282940*t^6 + 4200840*t^7 + 64990240*t^8 + 1031713200*t^9 + 16746044616*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7

• operators

• order

18

• degree

293

• cpu time

24762 s

• ### polytope v21.3430

• topology

#36

• Laurent polynomial

w/x/y + y + w/x*z + w + w/y + w^2/x/y*z + 1/w*y + 1/x + w/x + 1/w^2*x/z + 1/w*x/z + w/x/y*z + 1/w + 1/w*x + 1/w*x*y + z + x + 1/y + 1/w/z + 1/z + w^2/x^2/y*z

• series expansion

1 + 16*t^2 + 114*t^3 + 1632*t^4 + 21360*t^5 + 314350*t^6 + 4766580*t^7 + 75204640*t^8 + 1217574960*t^9 + 20157507216*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

31

• cpu time

370 s

• ### polytope v21.3440

• topology

#36

• Laurent polynomial

w^2/x/y + w + x + 1/y + 1/x + 1/w*y + 1/w^2*x*y + w/y*z + 1/w*x*y + z + w/x + w/x/y + w/x/y*z + 1/y*z + 1/x/z + y + 1/w/z + 1/w + 1/w*x + w/y + 1/z

• series expansion

1 + 16*t^2 + 114*t^3 + 1632*t^4 + 21360*t^5 + 314350*t^6 + 4766580*t^7 + 75204640*t^8 + 1217574960*t^9 + 20157507216*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

31

• cpu time

2856 s

• ### polytope v21.3497

• topology

#36

• Laurent polynomial

x/y + 1/x + z + x/y*z + 1/w*y + 1/x*y + w/x + 1/x/z + 1/w*x/y*z + 1/w + 1/x^2*y/z + 1/y + y + 1/x*y/z + w + x + 1/w*x + 1/w*x*z + w/y + 1/z + 1/w*x^2/y*z

• series expansion

1 + 16*t^2 + 114*t^3 + 1632*t^4 + 21360*t^5 + 314350*t^6 + 4766580*t^7 + 75204640*t^8 + 1217574960*t^9 + 20157507216*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

31

• cpu time

3624 s

• ### polytope v21.6

• topology

#33

• Laurent polynomial

1/w*x + 1/x + z + 1/w*z + w/z + w/x/z + x + w + y + w/y/z + w/x/y/z + 1/x/z + 1/z + 1/w*x*z + 1/y + w/y + 1/y/z + 1/x*y + 1/x/y/z + 1/w*y*z + 1/w

• series expansion

1 + 14*t^2 + 114*t^3 + 1410*t^4 + 18780*t^5 + 263930*t^6 + 3899700*t^7 + 59594290*t^8 + 935871720*t^9 + 15020946864*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2

• operators

• order

8

• degree

38

• cpu time

4258 s

• ### polytope v21.724

• topology

#20

• Laurent polynomial

1/w*y + 1/w*y*z + 1/y/z + 1/x + w/x/z + w + z + x/y/z + x/y + 1/w*x/y + 1/w*x + 1/w*z + x + w/y/z + w/y + 1/x*y + 1/z + 1/w/x*y*z + 1/y + 1/w + y

• series expansion

1 + 14*t^2 + 114*t^3 + 1410*t^4 + 19080*t^5 + 267890*t^6 + 4001340*t^7 + 61462450*t^8 + 972499920*t^9 + 15715679364*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4

• operators

• order

12

• degree

118

• cpu time

46796 s

• ### polytope v21.77

• topology

#37

• Laurent polynomial

1/y/z + y + 1/w*y + 1/w + 1/w*x + 1/w/z + 1/w*x*y + 1/w*x/z + 1/x + 1/w*y/z + 1/z + 1/x*z + w/x/y*z + w/x/y + 1/y + 1/x/y + z + 1/x/y/z + x + w/y + w

• series expansion

1 + 12*t^2 + 96*t^3 + 1116*t^4 + 14040*t^5 + 186960*t^6 + 2610720*t^7 + 37725660*t^8 + 560071680*t^9 + 8497441512*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

3707 s

• ### polytope v21.845

• topology

#22

• Laurent polynomial

1/z + w + 1/w/y*z + 1/y*z + y + w/x + 1/x + 1/w*x*y/z + 1/w*x + 1/w + 1/y + 1/w/y + 1/w*x/z + z + 1/x/y*z + 1/x*z + x + 1/x/y + w/x/y + y/z + 1/w/z

• series expansion

1 + 12*t^2 + 96*t^3 + 1068*t^4 + 13500*t^5 + 176520*t^6 + 2441040*t^7 + 34844460*t^8 + 511438200*t^9 + 7670635812*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6

• operators

• order

16

• degree

206

• cpu time

5178 s

• ### polytope v21.87

• topology

#33

• Laurent polynomial

x/y + 1/w/x*y + 1/x/z + 1/x*y + x + 1/w*y + 1/x*y/z + y + w/x/z + w + w/y/z + 1/z + 1/x + w/x/y/z + 1/w + 1/w*x + 1/w*z + 1/w*x*z + w/y + z + 1/y

• series expansion

1 + 14*t^2 + 114*t^3 + 1410*t^4 + 18780*t^5 + 263930*t^6 + 3899700*t^7 + 59594290*t^8 + 935871720*t^9 + 15020946864*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2

• operators

• order

8

• degree

38

• cpu time

3881 s

• ### polytope v21.91

• topology

#33

• Laurent polynomial

1/z + z + 1/w*y*z + y + w + w/x + w/x/y + w/z + x/z + 1/x*z + 1/y + w/y/z + 1/x + 1/w + 1/x/y + 1/w/x*z + 1/y/z + 1/w*z + x/y/z + x + 1/w*y

• series expansion

1 + 14*t^2 + 114*t^3 + 1410*t^4 + 18780*t^5 + 263930*t^6 + 3899700*t^7 + 59594290*t^8 + 935871720*t^9 + 15020946864*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2

• operators

• order

8

• degree

38

• cpu time

411 s

• ### polytope v22.10

• topology

#27

• Laurent polynomial

1/y + 1/w*y*z + 1/w*z + z + 1/w*x*z + y + 1/w*x + x/y + w/y + 1/z + x + w/x + w/x/z + w + 1/x*y + w/y/z + 1/x*y/z + 1/w*y + 1/y*z + 1/x + 1/w*x/y*z + 1/w

• series expansion

1 + 18*t^2 + 138*t^3 + 2022*t^4 + 28680*t^5 + 441810*t^6 + 7131600*t^7 + 119025270*t^8 + 2043037920*t^9 + 35838270468*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

81

• cpu time

692 s

• ### polytope v22.1035

• topology

#32

• Laurent polynomial

w/x/y + z + 1/y*z + 1/x*z + w/x/y*z + x + 1/w*x*y + x/y + 1/w*x/z + w/y + 1/x*y + 1/w*y/z + w/x + y + 1/w*x + 1/y + 1/x + 1/w + 1/w*y + 1/w/z + 1/z + w

• series expansion

1 + 16*t^2 + 132*t^3 + 1872*t^4 + 26160*t^5 + 400660*t^6 + 6373920*t^7 + 105214480*t^8 + 1783627440*t^9 + 30908633616*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

83

• cpu time

1185 s

• ### polytope v22.1085

• topology

#3

• Laurent polynomial

1/x*y*z + 1/x*y + w/x + 1/w*x*z + z + w + 1/w*x/y/z + 1/w*x/y + x/y/z + x/y + 1/w*y*z + 1/w + 1/z + y + 1/w*x + x + 1/w*z + 1/w/y + 1/y/z + 1/y + 1/x + w/x/z

• series expansion

1 + 16*t^2 + 114*t^3 + 1608*t^4 + 21300*t^5 + 311110*t^6 + 4735500*t^7 + 74630920*t^8 + 1209432840*t^9 + 20028716316*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8

• operators

• order

20

• degree

356

• cpu time

16268 s

• ### polytope v22.1397

• topology

#32

• Laurent polynomial

1/w*x + 1/w*x*z + x + 1/w^2*x*y*z + 1/x + 1/w*y*z + w/y + w/y/z + w + z + y + w/x + w/z + w/x/y + w/x/y/z + w/x/z + 1/z + 1/y + 1/y/z + 1/x/z + 1/w*y + 1/w

• series expansion

1 + 16*t^2 + 138*t^3 + 1896*t^4 + 27060*t^5 + 413710*t^6 + 6623400*t^7 + 109763080*t^8 + 1869341880*t^9 + 32538248316*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

31

• cpu time

435 s

• ### polytope v22.1476

• topology

#13

• Laurent polynomial

1/z + y + w + 1/w*x^2/z + x + 1/w*x/z + 1/w*y + 1/y + w/y + 1/x*y*z + 1/x*z + 1/x*y + w/x + z + x/y/z + x/y + 1/w/x*y*z + 1/w + 1/w*x + 1/x + w/x/y + x/z

• series expansion

1 + 18*t^2 + 138*t^3 + 2094*t^4 + 29520*t^5 + 465210*t^6 + 7569240*t^7 + 128131710*t^8 + 2225959680*t^9 + 39546740268*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6

• operators

• order

16

• degree

190

• cpu time

22310 s

• ### polytope v22.1484

• topology

#10

• Laurent polynomial

1/x/y/z + z + w/x + 1/w*x*y + 1/z + w/x/z + y + 1/x + w/x^2/y/z + 1/w*y + w/z + w/x/y + w + 1/y + 1/x/z + x + 1/y*z + 1/x/y + w/x/y/z + 1/w*x*z + 1/w + 1/w*x

• series expansion

1 + 14*t^2 + 114*t^3 + 1482*t^4 + 19800*t^5 + 284810*t^6 + 4275180*t^7 + 66523450*t^8 + 1062887280*t^9 + 17360180964*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4

• operators

• order

12

• degree

100

• cpu time

1157 s

• ### polytope v22.1507

• topology

#36

• Laurent polynomial

w/x/y + w + 1/x*z + 1/x + 1/w*x/z + 1/y + 1/x/y + y/z + 1/w + 1/z + w/x^2/y*z + y + 1/w*x*y + 1/w*x*y/z + w/x + z + 1/w*x + x + 1/y*z + w/x/y*z + 1/x/y*z + w/x^2/y^2*z

• series expansion

1 + 16*t^2 + 114*t^3 + 1608*t^4 + 21120*t^5 + 308950*t^6 + 4675860*t^7 + 73532200*t^8 + 1187289600*t^9 + 19599251616*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

82

• cpu time

932 s

• ### polytope v22.1519

• topology

#10

• Laurent polynomial

1/w*y + 1/w*x*y + y + z + w/x/y + w/x/y^2/z + x + w/y/z + 1/y/z + 1/w*z + w/z + x/z + 1/w*x + w/x/y/z + 1/x + 1/w + 1/x/y + 1/x*z + 1/y + w/x + w + 1/z

• series expansion

1 + 16*t^2 + 114*t^3 + 1584*t^4 + 20940*t^5 + 303190*t^6 + 4580520*t^7 + 71654800*t^8 + 1152128040*t^9 + 18933486516*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6

• operators

• order

16

• degree

221

• cpu time

3934 s

• ### polytope v22.1589

• topology

#27

• Laurent polynomial

w/x/z + w + w/x*y/z + w/x + 1/w*x + x/y + 1/w*y + y + x + 1/z + 1/w*x/y*z + 1/w*x*z + 1/w + 1/x*y + 1/x + 1/x*y/z + 1/w*z + 1/w*x/y + z + 1/y + w/y + w/x^2*y/z

• series expansion

1 + 18*t^2 + 138*t^3 + 2070*t^4 + 29040*t^5 + 452610*t^6 + 7308000*t^7 + 122538150*t^8 + 2109974160*t^9 + 37143718668*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

31

• cpu time

350 s

• ### polytope v22.1613

• topology

#32

• Laurent polynomial

1/z + 1/w*x + 1/w*x*y/z + 1/x*y + 1/w*y + 1/x*z + 1/x + 1/w + w/x/y*z + w/x + 1/y + 1/y*z + w/x/y + y + 1/w*y/z + 1/w^2*x*y/z + x + x/y + 1/w*x/z + z + w + w/y

• series expansion

1 + 16*t^2 + 132*t^3 + 1872*t^4 + 26160*t^5 + 400660*t^6 + 6373920*t^7 + 105214480*t^8 + 1783627440*t^9 + 30908633616*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

83

• cpu time

812 s

• ### polytope v22.1708

• topology

#9

• Laurent polynomial

1/w*x + 1/w*x*z + x + 1/w^2*x*y*z + 1/x + z + w/y + w/x/y/z + 1/w + w^2/x/y/z + w/x/z + w/y/z + 1/y/z + y + 1/z + w/x + w + 1/y + 1/w*y*z + 1/w*z + 1/x/z + 1/w*y

• series expansion

1 + 18*t^2 + 132*t^3 + 1950*t^4 + 26760*t^5 + 409320*t^6 + 6476400*t^7 + 106550430*t^8 + 1799316960*t^9 + 31073882868*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7

• operators

• order

18

• degree

276

• cpu time

8640 s

• ### polytope v22.1740

• topology

#32

• Laurent polynomial

1/w*x + 1/w*x*z + x + 1/w*x*y + w/x + z + w + w^2/x/y + 1/y*z + y + 1/w*z + 1/w*y + 1/w + 1/x/z + w/x/z + 1/x + w/x/y/z + 1/y + w/x/y + w/y + 1/w^2*x*y + 1/z

• series expansion

1 + 18*t^2 + 132*t^3 + 2022*t^4 + 27720*t^5 + 431280*t^6 + 6891360*t^7 + 114726150*t^8 + 1959271440*t^9 + 34221161268*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

26

• cpu time

232 s

• ### polytope v22.316

• topology

#14

• Laurent polynomial

w/x + w + 1/w/z + 1/w*y/z + y/z + x/z + x + 1/w*x/y + 1/w*x + 1/x*z + 1/w + 1/y + w/x/y*z + z + 1/y*z + x/y + 1/w*y + 1/w*x/z + 1/z + 1/x + 1/x*y + y

• series expansion

1 + 16*t^2 + 132*t^3 + 1776*t^4 + 25080*t^5 + 374380*t^6 + 5896800*t^7 + 95873680*t^8 + 1603427280*t^9 + 27402671016*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6

• operators

• order

16

• degree

236

• cpu time

6211 s

• ### polytope v22.357

• topology

#14

• Laurent polynomial

x/y + w/x + 1/x*y + 1/w*z + 1/w*x/y*z + 1/w + 1/w*x + 1/w*y + y/z + 1/x/z + 1/w/x*y + 1/z + y + 1/y*z + z + 1/x + 1/x*y/z + w/x/z + w + w/y + 1/y + x

• series expansion

1 + 16*t^2 + 132*t^3 + 1776*t^4 + 25080*t^5 + 374380*t^6 + 5896800*t^7 + 95873680*t^8 + 1603427280*t^9 + 27402671016*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6

• operators

• order

16

• degree

236

• cpu time

6821 s

• ### polytope v22.431

• topology

#13

• Laurent polynomial

1/x*z + w/x + 1/w*x + w/z + x + 1/w*y + 1/z + 1/w*y*z + y + 1/w*x*y + z + w/y + w/y/z + w + 1/w*x*z + 1/y + 1/w + 1/w*z + 1/y/z + 1/x*y + 1/x + w/x/z

• series expansion

1 + 18*t^2 + 144*t^3 + 2118*t^4 + 30600*t^5 + 479700*t^6 + 7871220*t^7 + 133663110*t^8 + 2333661120*t^9 + 41643644868*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8

• operators

• order

20

• degree

375

• cpu time

15043 s

• ### polytope v22.44

• topology

#33

• Laurent polynomial

1/w*x*z + 1/w*z + 1/w*x/y*z + 1/w*x + x + w + z + w/x + 1/w/y + 1/w + 1/x/z + y + w/x*y/z + y/z + w/x/z + 1/z + 1/y + 1/x/y/z + 1/x/y + 1/x + 1/y*z + 1/w/y*z

• series expansion

1 + 16*t^2 + 108*t^3 + 1512*t^4 + 19320*t^5 + 275740*t^6 + 4075680*t^7 + 62521480*t^8 + 985325040*t^9 + 15871428216*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2

• operators

• order

8

• degree

39

• cpu time

490 s

• ### polytope v22.49

• topology

#33

• Laurent polynomial

x + 1/z + w + w/x/z + 1/y + z + y + 1/w + y/z + 1/w*x + w/x*y/z + w/x + 1/x/z + 1/w/y*z + 1/w*x*z + 1/x + 1/x/y*z + 1/y*z + 1/w*x/y*z + 1/w/z + 1/x/y + 1/w/y

• series expansion

1 + 16*t^2 + 108*t^3 + 1488*t^4 + 19080*t^5 + 270700*t^6 + 3990000*t^7 + 61030480*t^8 + 958683600*t^9 + 15397391016*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

68

• cpu time

4332 s

• ### polytope v22.5

• topology

#36

• Laurent polynomial

1/w*x + 1/w*y*z + 1/x/y/z + 1/x/z + 1/x + w + w/x/y + w/x + y + w/y/z + w/z + w/x/z + w/x/y/z + 1/z + 1/y + 1/y/z + w/y + z + 1/w + 1/w*y + 1/w*x*z + x

• series expansion

1 + 16*t^2 + 114*t^3 + 1632*t^4 + 21360*t^5 + 314350*t^6 + 4766580*t^7 + 75204640*t^8 + 1217574960*t^9 + 20157507216*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

31

• cpu time

15281 s

• ### polytope v22.585

• topology

#19

• Laurent polynomial

x/y + 1/w*x/y + x + z + w/x + 1/y + w/y + w + 1/x*y/z + 1/z + 1/w*y*z + y + 1/w + 1/x + 1/w*z + 1/w*y + 1/w*x + 1/x*y + 1/x*z + w/z + w/x/z + w/y/z

• series expansion

1 + 18*t^2 + 132*t^3 + 2046*t^4 + 28380*t^5 + 445320*t^6 + 7193760*t^7 + 120951390*t^8 + 2087103480*t^9 + 36828813168*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

92

• cpu time

1440 s

• ### polytope v22.590

• topology

#9

• Laurent polynomial

1/w/x*y*z + 1/x*y + 1/y/z + 1/z + 1/w + 1/w*y*z + x + 1/w*x + y + 1/w*y + z + w/y + x/y + w + 1/w*z + 1/y + w/y/z + 1/w*x/y + x/y/z + w/x + 1/x + w/x/z

• series expansion

1 + 16*t^2 + 138*t^3 + 1824*t^4 + 26100*t^5 + 392110*t^6 + 6216000*t^7 + 101782240*t^8 + 1713878040*t^9 + 29492425116*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4

• operators

• order

12

• degree

107

• cpu time

1689 s

• ### polytope v22.649

• topology

#27

• Laurent polynomial

1/x*z + w/x + z + 1/x*y + y + w + 1/w*y + x + 1/w*x + 1/w + 1/y + 1/w*z + 1/y*z + 1/w/x*y + 1/x + w/y/z + 1/z + x/y + w/y + x/y/z + x/z + w/z

• series expansion

1 + 18*t^2 + 138*t^3 + 2070*t^4 + 29160*t^5 + 454050*t^6 + 7345800*t^7 + 123243750*t^8 + 2124444000*t^9 + 37431792468*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2

• operators

• order

8

• degree

46

• cpu time

5792 s

• ### polytope v22.650

• topology

#32

• Laurent polynomial

1/x*z + w/x + 1/w/x*z + 1/x*y + z + y + w + 1/w/x*y + 1/x + 1/w*z + 1/w + 1/w*x + x + 1/w*y + x/z + x/y/z + x/y + w/y/z + 1/z + w/z + 1/y + w/y

• series expansion

1 + 18*t^2 + 132*t^3 + 2022*t^4 + 27720*t^5 + 431280*t^6 + 6891360*t^7 + 114726150*t^8 + 1959271440*t^9 + 34221161268*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

26

• cpu time

119 s

• ### polytope v22.65

• topology

#43

• Laurent polynomial

w/z + x + w + y + w/x + z + 1/w*x*z + 1/w/x/y + 1/w/x/y*z + 1/x/y + 1/z + 1/x + 1/x/z + w/x/z + 1/w + 1/w/y*z + 1/w*z + 1/w/y + 1/w*x + y/z + 1/x/y*z + 1/y

• series expansion

1 + 14*t^2 + 96*t^3 + 1266*t^4 + 15600*t^5 + 214340*t^6 + 3040800*t^7 + 44853970*t^8 + 678924960*t^9 + 10507456764*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

285 s

• ### polytope v22.681

• topology

#32

• Laurent polynomial

w/y/z + y + w + x + z + w/y + x/y + 1/x + 1/w + 1/w*x + 1/w*y + 1/w*x/y*z + 1/w*z + 1/y + w/x + 1/y*z + 1/w/x*y + 1/x*y + w/z + 1/x*y/z + w/x/z + 1/z

• series expansion

1 + 16*t^2 + 138*t^3 + 1896*t^4 + 27060*t^5 + 413710*t^6 + 6623400*t^7 + 109763080*t^8 + 1869341880*t^9 + 32538248316*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

31

• cpu time

718 s

• ### polytope v22.72

• topology

#32

• Laurent polynomial

1/y + 1/w*z + z + 1/w*x*z + 1/w/x*y + 1/y*z + w/x/z + 1/z + 1/x*y/z + w/y + x/y + y + x + 1/w*x + 1/w*y + w/x + w + 1/x*y + w/y/z + 1/x + 1/w*x/y*z + 1/w

• series expansion

1 + 16*t^2 + 138*t^3 + 1848*t^4 + 26700*t^5 + 403630*t^6 + 6454560*t^7 + 106515640*t^8 + 1807697640*t^9 + 31354037316*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

83

• cpu time

775 s

• ### polytope v22.768

• topology

#32

• Laurent polynomial

w/x + 1/x*y*z + w + w/x*z + y + 1/z + 1/w*x/z + z + 1/x*z + 1/w*y + x + 1/w*x + w/y + w/x/y*z + 1/w*x*y + x/y/z + 1/w/z + 1/y/z + 1/w + 1/y + 1/x + w/x/y

• series expansion

1 + 18*t^2 + 132*t^3 + 2022*t^4 + 27720*t^5 + 431280*t^6 + 6891360*t^7 + 114726150*t^8 + 1959271440*t^9 + 34221161268*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

26

• cpu time

196 s

• ### polytope v22.986

• topology

#33

• Laurent polynomial

1/w/y + y/z + w/x/z + 1/x/z + 1/z + 1/w*x*y + 1/w*x*z + 1/w*x + 1/x + w + 1/y*z + z + y + 1/w*z + 1/w + w/x/y + w/x + x + 1/x/y/z + 1/w/y*z + 1/y + 1/x/y

• series expansion

1 + 16*t^2 + 108*t^3 + 1512*t^4 + 19320*t^5 + 275740*t^6 + 4075680*t^7 + 62521480*t^8 + 985325040*t^9 + 15871428216*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2

• operators

• order

8

• degree

39

• cpu time

413 s

• ### polytope v23.1347

• topology

#38

• Laurent polynomial

w/x + w*y + 1/w*x + 1/w + x*y + 1/w/y + 1/y*z + 1/w/y/z + 1/w/x/y/z + 1/x/y + 1/y + 1/w/x/y + x*z + z + 1/x/y*z + y/z + 1/z + 1/w/z + 1/x/z + y + 1/w/x/z + w + 1/x

• series expansion

1 + 16*t^2 + 114*t^3 + 1680*t^4 + 22200*t^5 + 333070*t^6 + 5126520*t^7 + 82265680*t^8 + 1353624720*t^9 + 22783385016*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

14

• cpu time

136 s

• ### polytope v23.168

• topology

#26

• Laurent polynomial

w/x/y + w + w/x/y*z + w/x + w/y + x/z + 1/w*z + 1/w*y + 1/x*z + 1/y*z + 1/x*y + y/z + 1/w*x + y + x + z + 1/w + 1/w*y/z + 1/x + x/y + 1/y + 1/w*x/z + 1/z

• series expansion

1 + 18*t^2 + 162*t^3 + 2382*t^4 + 35880*t^5 + 581850*t^6 + 9870000*t^7 + 173357310*t^8 + 3129144480*t^9 + 57730367268*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

74

• cpu time

784 s

• ### polytope v23.203

• topology

#31

• Laurent polynomial

1/x*y*z + z + 1/x + 1/x*z + 1/w*y + 1/w*x + 1/x*y + 1/w*z + x/y + 1/y + 1/z + w/z + w/y + w/y/z + w + x + x/y/z + x/z + 1/w/x*y*z + y + 1/w/x*z + 1/w/x*y + 1/w

• series expansion

1 + 18*t^2 + 156*t^3 + 2286*t^4 + 34080*t^5 + 546840*t^6 + 9183720*t^7 + 159714030*t^8 + 2854351920*t^9 + 52143842268*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2

• operators

• order

7

• degree

22

• cpu time

1946 s

• ### polytope v23.208

• topology

#2

• Laurent polynomial

1/x/z + 1/w/z + 1/w + 1/w/x/y/z + 1/w/x + y + y/z + 1/w/x/z + x*z + z + 1/x/y + 1/x + 1/y*z + w + 1/y + 1/w/x/y + 1/w/y*z + x + 1/w/y + w*x + 1/z + x*y + w*y/z

• series expansion

1 + 18*t^2 + 120*t^3 + 1926*t^4 + 25560*t^5 + 396180*t^6 + 6248760*t^7 + 102956070*t^8 + 1739408160*t^9 + 30056231268*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7

• operators

• order

18

• degree

293

• cpu time

8535 s

• ### polytope v23.211

• topology

#8

• Laurent polynomial

w/x + w*z + x*y + y/z + y + 1/z + 1/x/z + x/y*z + 1/y + 1/w/x/y/z + x + 1/w/x/y + 1/y*z + z + 1/w + 1/x + x*z + 1/w/y + 1/w/x/z + 1/x/y + 1/w/z + 1/w*y/z + w

• series expansion

1 + 16*t^2 + 144*t^3 + 1992*t^4 + 29220*t^5 + 455200*t^6 + 7444080*t^7 + 125961640*t^8 + 2190270600*t^9 + 38927254716*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7

• operators

• order

18

• degree

310

• cpu time

8459 s

• ### polytope v23.278

• topology

#7

• Laurent polynomial

1/x + x/y + z + w + x + 1/w*x + x/z + w/z + 1/w*y + y + 1/w/x*y*z + 1/x*y + 1/x*z + x/y/z + 1/w + 1/z + 1/w*z + 1/w/x*y + 1/y + w/y + 1/w/x*z + w/x + w/y/z

• series expansion

1 + 18*t^2 + 156*t^3 + 2310*t^4 + 33840*t^5 + 545400*t^6 + 9101400*t^7 + 157871910*t^8 + 2811002880*t^9 + 51175280268*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4

• operators

• order

12

• degree

104

• cpu time

1895 s

• ### polytope v23.311

• topology

#26

• Laurent polynomial

1/z + w + x + w/x/y*z + x/y + w/y + 1/y*z + 1/y + z + w/x/y + w/x + x/z + 1/w*x/z + 1/w*x*y/z + 1/w*x + 1/w*y + y + 1/x*y + 1/x + 1/w + 1/w*z + 1/x*z + 1/w*y/z

• series expansion

1 + 18*t^2 + 156*t^3 + 2334*t^4 + 34620*t^5 + 560160*t^6 + 9437820*t^7 + 164883390*t^8 + 2959171320*t^9 + 54288255168*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

101

• cpu time

1649 s

• ### polytope v23.349

• topology

#31

• Laurent polynomial

w/y/z + x + w/z + y/z + 1/x + w/x/y + w/y + y + w/x + 1/w*x*y/z + 1/z + z + 1/w*x + 1/w*y + 1/w*z + 1/x*z + 1/w + 1/y*z + 1/x/y*z + 1/w/x*z + 1/y + w + x/z

• series expansion

1 + 18*t^2 + 156*t^3 + 2286*t^4 + 34080*t^5 + 546840*t^6 + 9183720*t^7 + 159714030*t^8 + 2854351920*t^9 + 52143842268*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

31

• cpu time

6560 s

• ### polytope v23.375

• topology

#8

• Laurent polynomial

w/x + w*z + y/z + y + w*x*z + 1/y*z + 1/w/x/y/z + 1/y + 1/x/y + 1/z + 1/x/z + x + w + z + 1/x + 1/w*x + 1/w/x/z + 1/w/z + 1/w/x/y + 1/w/y + 1/w + x*z + 1/w*y/z

• series expansion

1 + 18*t^2 + 138*t^3 + 2118*t^4 + 29940*t^5 + 473490*t^6 + 7738920*t^7 + 131447190*t^8 + 2292495240*t^9 + 40876726968*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5

• operators

• order

14

• degree

171

• cpu time

10763 s

• ### polytope v23.378

• topology

#13

• Laurent polynomial

w/x + 1/x*y*z + w + w/x*z + y + 1/z + 1/w*x/z + z + 1/x*z + 1/w*y + x + 1/w*x + w/y + w/x/y*z + 1/w*x*y + x/y/z + 1/w/z + 1/y/z + 1/x/y + 1/w + 1/x + 1/y + w/x/y

• series expansion

1 + 18*t^2 + 144*t^3 + 2118*t^4 + 30480*t^5 + 479340*t^6 + 7847280*t^7 + 133340550*t^8 + 2326675680*t^9 + 41512390668*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4

• operators

• order

12

• degree

118

• cpu time

1674 s

• ### polytope v23.389

• topology

#27

• Laurent polynomial

1/w*y + 1/w*x*y + y + z + w/y + 1/x/y + 1/y/z + 1/w/x*z + 1/y + x + w/z + x/z + 1/w + 1/w*x + 1/w*z + w/x/y/z + w/x/y + 1/x*z + 1/x + w/x + w + w/y/z + 1/z

• series expansion

1 + 18*t^2 + 138*t^3 + 2070*t^4 + 29040*t^5 + 452610*t^6 + 7308000*t^7 + 122538150*t^8 + 2109974160*t^9 + 37143718668*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

31

• cpu time

12030 s

• ### polytope v23.394

• topology

#38

• Laurent polynomial

w/x + 1/x*y*z + y + w + z + w/y + x + 1/w*y + 1/w*x*y + 1/w/y/z + 1/w*x/y/z + 1/w*x/z + 1/y/z + 1/y + 1/x/y + 1/x*z + w/x/y + x/y/z + 1/w/z + 1/w + 1/x + 1/w*x + 1/z

• series expansion

1 + 16*t^2 + 114*t^3 + 1680*t^4 + 22200*t^5 + 333070*t^6 + 5126520*t^7 + 82265680*t^8 + 1353624720*t^9 + 22783385016*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

14

• cpu time

162 s

• ### polytope v23.42

• topology

#14

• Laurent polynomial

w/z + x + w + 1/w*z + 1/w*x*z + z + 1/w + 1/w/y + w/x/z + 1/z + w/x + w/x*y/z + 1/x/y + 1/x/z + 1/x*y/z + 1/w*x + 1/w*x/y + 1/w*x/y*z + 1/x + 1/y*z + y + 1/w/y*z + 1/y

• series expansion

1 + 16*t^2 + 132*t^3 + 1776*t^4 + 25080*t^5 + 374380*t^6 + 5896800*t^7 + 95873680*t^8 + 1603427280*t^9 + 27402671016*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6

• operators

• order

16

• degree

236

• cpu time

6204 s

• ### polytope v23.469

• topology

#31

• Laurent polynomial

1/y/z + 1/w*x*y + 1/w*y*z + 1/x/z + 1/w*y + w/x + w + z + 1/x + w/y/z + w/x/y/z + w/x/y + 1/x*y + 1/z + y + 1/w*x*z + 1/w*x + 1/w*z + 1/w + w/y + x + 1/y + x/y

• series expansion

1 + 18*t^2 + 150*t^3 + 2262*t^4 + 33060*t^5 + 531630*t^6 + 8873760*t^7 + 153786150*t^8 + 2736724200*t^9 + 49792512168*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5

• operators

• order

14

• degree

158

• cpu time

18575 s

• ### polytope v23.473

• topology

#13

• Laurent polynomial

w/x + 1/x*y*z + y + w + z + w/y + x + 1/w*x/y/z + 1/w*y*z + 1/w*x*y + 1/w*x/z + 1/w*x + 1/x*z + 1/y/z + 1/w + 1/y + w/x/y + x/y/z + 1/w/z + 1/w*y + 1/x + x/z + 1/z

• series expansion

1 + 18*t^2 + 138*t^3 + 2142*t^4 + 30060*t^5 + 477090*t^6 + 7789320*t^7 + 132390510*t^8 + 2309051640*t^9 + 41182365168*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5

• operators

• order

14

• degree

185

• cpu time

13865 s

• ### polytope v23.493

• topology

#27

• Laurent polynomial

1/w*x + w/y/z + 1/y + 1/w + w/y + w + z + 1/w*x*z + x/y + w/y^2/z + 1/y/z + 1/z + y + 1/w*y*z + w/x + 1/x + 1/w*y + 1/x/z + w/x/y/z + 1/x*y + 1/w/x*y + w/x/z + x

• series expansion

1 + 18*t^2 + 138*t^3 + 2022*t^4 + 28680*t^5 + 441810*t^6 + 7131600*t^7 + 119025270*t^8 + 2043037920*t^9 + 35838270468*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

81

• cpu time

5702 s

• ### polytope v23.512

• topology

#19

• Laurent polynomial

w/y + w + 1/w*x*z + 1/w*x/y*z + y + 1/x*y + 1/x^2*y/z + 1/x + w/x^2*y/z + 1/w*y + x + w/x*y/z + 1/x/z + 1/z + 1/x*y/z + w/x/z + w/x + z + 1/w*x/y + 1/w + 1/y + 1/w*x + x/y

• series expansion

1 + 18*t^2 + 132*t^3 + 2046*t^4 + 28380*t^5 + 445320*t^6 + 7193760*t^7 + 120951390*t^8 + 2087103480*t^9 + 36828813168*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

92

• cpu time

922 s

• ### polytope v23.585

• topology

#8

• Laurent polynomial

1/x/z + 1/w/x + 1/w/x/z + x*y + y + y/z + 1/z + 1/w/y/z + 1/y*z + z + 1/w/y + x*z + 1/y + w + w*x*y*z + 1/x/y + 1/w/x/y + w*z + w*y + 1/x + 1/w/z + 1/w + 1/w/x/y/z

• series expansion

1 + 18*t^2 + 138*t^3 + 2118*t^4 + 29940*t^5 + 473490*t^6 + 7738920*t^7 + 131447190*t^8 + 2292495240*t^9 + 40876726968*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5

• operators

• order

14

• degree

171

• cpu time

2785 s

• ### polytope v23.592

• topology

#13

• Laurent polynomial

x/y/z + w + w/x + w/y + 1/x + z + x/y + 1/y + w/z + y + x + 1/w*x + x/z + 1/z + 1/w/x*y + 1/w*y + 1/w/x*y*z + 1/x*y + 1/x*z + 1/w/x*z + 1/w*z + 1/w/x^2*y*z + 1/w

• series expansion

1 + 18*t^2 + 138*t^3 + 2142*t^4 + 30060*t^5 + 477090*t^6 + 7789320*t^7 + 132390510*t^8 + 2309051640*t^9 + 41182365168*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5

• operators

• order

14

• degree

185

• cpu time

15516 s

• ### polytope v23.60

• topology

#39

• Laurent polynomial

w/x/y + 1/w/x*y*z + y*z + z + 1/w*x + 1/w*y + 1/w*x/z + x + w*x/y/z + w/y + x/z + y + 1/z + w + w/x + 1/x*y*z + w/y/z + x/y/z + 1/w + 1/x + 1/w*y*z + 1/x*z + 1/y

• series expansion

1 + 20*t^2 + 168*t^3 + 2652*t^4 + 40080*t^5 + 666920*t^6 + 11536560*t^7 + 207013660*t^8 + 3816224160*t^9 + 71917261920*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

106 s

• ### polytope v23.613

• topology

#31

• Laurent polynomial

1/w*x + 1/w*x*z + x + 1/w*x*y + z + 1/w*z + w/y + 1/y*z + w/x/y + 1/x + w/x/y/z + 1/y + w + w/x + y + 1/x/z + w/x/z + 1/w*y + 1/w + 1/w^2*x*y*z + w/z + 1/w^2*x*y + 1/z

• series expansion

1 + 18*t^2 + 156*t^3 + 2334*t^4 + 34560*t^5 + 558720*t^6 + 9405480*t^7 + 164157630*t^8 + 2943499440*t^9 + 53951236668*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2

• operators

• order

8

• degree

61

• cpu time

771 s

• ### polytope v23.621

• topology

#31

• Laurent polynomial

1/z + w + x + w/x/y*z + x/y + w/y + 1/w*x + z + 1/y*z + 1/x*z + 1/x + 1/x*y + 1/w*y/z + 1/w*x*y/z + 1/w*y + y + 1/w^2*x*y/z + 1/w + 1/y + w/x/y + w/x + x/z + 1/w*x/z

• series expansion

1 + 18*t^2 + 150*t^3 + 2262*t^4 + 33060*t^5 + 531630*t^6 + 8873760*t^7 + 153786150*t^8 + 2736724200*t^9 + 49792512168*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5

• operators

• order

14

• degree

158

• cpu time

11805 s

• ### polytope v23.636

• topology

#27

• Laurent polynomial

1/w*x + 1/w*x*z + 1/w*x*y + x + w/x^2/y/z + w/z + w/x/y/z + 1/x/z + 1/w*y + y/z + 1/w*z + y + 1/x/y + z + 1/y*z + 1/x + 1/w + 1/z + w + w/x/z + w/x/y + w/y + 1/y

• series expansion

1 + 18*t^2 + 138*t^3 + 2070*t^4 + 29160*t^5 + 454050*t^6 + 7345800*t^7 + 123243750*t^8 + 2124444000*t^9 + 37431792468*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2

• operators

• order

8

• degree

46

• cpu time

555 s

• ### polytope v23.674

• topology

#8

• Laurent polynomial

1/y/z + z + 1/x*z + 1/x + 1/x/y + w + w*x + 1/y + w*z + y*z + w*x*z + 1/w/x + 1/w/x/y + 1/w/x/z + 1/w*y + x + 1/w/z + y + 1/z + x/z + 1/w + 1/w/y/z + 1/w/x/y/z

• series expansion

1 + 18*t^2 + 144*t^3 + 2166*t^4 + 31020*t^5 + 492300*t^6 + 8086260*t^7 + 138096630*t^8 + 2420427240*t^9 + 43384189968*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9

• operators

• order

22

• degree

446

• cpu time

21674 s

• ### polytope v23.68

• topology

#24

• Laurent polynomial

1/z + x + 1/w*z + 1/w*y*z + 1/w/x*y*z + 1/y + w/y + x/y/z + w/y/z + w*x/y/z + x/z + 1/x*z + 1/w/x*z + 1/w*x + 1/w + 1/x*y*z + z + 1/x + w + w/z + 1/y/z + y + 1/x*y

• series expansion

1 + 18*t^2 + 168*t^3 + 2430*t^4 + 37200*t^5 + 605340*t^6 + 10342080*t^7 + 182788830*t^8 + 3320565360*t^9 + 61653087468*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

14

• cpu time

143 s

• ### polytope v23.696

• topology

#13

• Laurent polynomial

1/w/x^2*y^2*z + 1/w + z + 1/x*y*z + w*x/y^2/z + x + x/y + w/y/z + w + y + 1/z + 1/x*y + w/y + 1/y + 1/y/z + 1/w*y + x/y/z + 1/w/x*y + x/y^2/z + 1/x + 1/w/x*y*z + 1/w*y*z + 1/w/x*y^2*z

• series expansion

1 + 18*t^2 + 138*t^3 + 2094*t^4 + 29520*t^5 + 465210*t^6 + 7569240*t^7 + 128131710*t^8 + 2225959680*t^9 + 39546740268*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6

• operators

• order

16

• degree

190

• cpu time

4209 s

• ### polytope v23.697

• topology

#8

• Laurent polynomial

1/z + x + w/x^2/y*z + 1/x/y*z + z + 1/w*y + 1/w*x/z + 1/w*x*y + 1/w*x*y/z + 1/x/y + 1/x*z + 1/x + 1/w*x + w/x/y*z + w/x/y + y + w/x + 1/w + 1/y + w + 1/w*x^2*y/z + x/z + 1/y/z

• series expansion

1 + 18*t^2 + 144*t^3 + 2166*t^4 + 31020*t^5 + 492300*t^6 + 8086260*t^7 + 138096630*t^8 + 2420427240*t^9 + 43384189968*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9

• operators

• order

22

• degree

446

• cpu time

18229 s

• ### polytope v23.707

• topology

#19

• Laurent polynomial

1/w*x + 1/w^2*x*y*z + x + 1/w*x*z + 1/w*x*y + y + 1/w*y + w/x^2/y/z + 1/x + w/x/z + 1/x/y + w/x/y/z + w^2/x/y/z + 1/y + 1/x/z + w/x/y + z + 1/w*z + 1/w + 1/z + w/z + w + w/y

• series expansion

1 + 18*t^2 + 132*t^3 + 2046*t^4 + 28380*t^5 + 445320*t^6 + 7193760*t^7 + 120951390*t^8 + 2087103480*t^9 + 36828813168*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

92

• cpu time

909 s

• ### polytope v24.10

• topology

#26

• Laurent polynomial

1/w*x + 1/w*x*z + x + w/x/z + w + 1/z + y + y/z + w/z + 1/x/y + 1/w*z + 1/w + 1/x/z + 1/w*y + z + 1/y*z + 1/y + w/y + 1/w*x/y*z + 1/x*y/z + 1/x + 1/w/y*z + w/x + w/x/y

• series expansion

1 + 18*t^2 + 162*t^3 + 2358*t^4 + 35640*t^5 + 575730*t^6 + 9756600*t^7 + 171039750*t^8 + 3082499280*t^9 + 56774884068*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2

• operators

• order

8

• degree

68

• cpu time

5420 s

• ### polytope v24.1344

• topology

#30

• Laurent polynomial

1/x/z + y + 1/w/x/z + x*y + y/z + 1/z + 1/w/y/z + 1/w/y + 1/w/x/y + 1/w/z + 1/w*x + 1/w + 1/w/x/y/z + 1/x/y + z + 1/x + w*z + x*z + w*y + w*x*y*z + 1/y*z + 1/y + w + w/x

• series expansion

1 + 20*t^2 + 168*t^3 + 2700*t^4 + 41220*t^5 + 693920*t^6 + 12155640*t^7 + 220710700*t^8 + 4119327240*t^9 + 78578636220*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

92

• cpu time

2959 s

• ### polytope v24.147

• topology

#41

• Laurent polynomial

1/z + y/z + 1/w/x/z + 1/x + w*y + 1/x/z + 1/x/y + 1/w + 1/w*x + 1/w/y + w*z + x*z + z + x + w*x*y + w*x*z + x*y + 1/y*z + 1/x/y*z + 1/w/x/y + 1/w/z + 1/w/x/y/z + w*y/z + w

• series expansion

1 + 20*t^2 + 186*t^3 + 2940*t^4 + 46680*t^5 + 803990*t^6 + 14453460*t^7 + 269264380*t^8 + 5154560880*t^9 + 100866202920*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

14

• cpu time

1196 s

• ### polytope v24.230

• topology

#35

• Laurent polynomial

1/w/x/y/z + 1/w/x + w + w*x*y + x*y + y + w*x*y*z + 1/y*z + 1/x/y*z + z + 1/x + w*z + 1/x/y + 1/w/y + 1/w + 1/w/x/y + x + 1/y + 1/z + y/z + 1/w/y/z + 1/w/z + 1/w/x/z + 1/x/z

• series expansion

1 + 18*t^2 + 168*t^3 + 2526*t^4 + 38880*t^5 + 647820*t^6 + 11254320*t^7 + 202727070*t^8 + 3751440000*t^9 + 70963781868*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

25

• cpu time

244 s

• ### polytope v24.328

• topology

#30

• Laurent polynomial

1/x/y/z + 1/w + 1/w*x + 1/w/z + w*y*z + y + 1/w/x/z + 1/w/y + z + 1/w/x/y + 1/w/x/y/z + 1/x/z + 1/x/y + 1/x + x + w + w*z + w*y + 1/y + 1/z + 1/y*z + x*z + y/z + x*y

• series expansion

1 + 18*t^2 + 174*t^3 + 2574*t^4 + 40380*t^5 + 674190*t^6 + 11809140*t^7 + 214067070*t^8 + 3988152840*t^9 + 75943597968*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4

• operators

• order

12

• degree

140

• cpu time

46275 s

• ### polytope v24.481

• topology

#6

• Laurent polynomial

w*x*y + y + 1/z + 1/w/x/y/z + z + 1/y*z + w + 1/x/y + x + 1/y + w*x*z + 1/w/x + y/z + x*y + 1/w/x/z + x*z + 1/w/y + 1/w/x/y + 1/w/y*z + 1/w + 1/w/z + 1/x + w*y/z + 1/x/z

• series expansion

1 + 20*t^2 + 168*t^3 + 2676*t^4 + 40680*t^5 + 681680*t^6 + 11868360*t^7 + 214445140*t^8 + 3979898160*t^9 + 75516414120*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7

• operators

• order

18

• degree

275

• cpu time

8255 s

• ### polytope v24.510

• topology

#30

• Laurent polynomial

1/y/z + 1/w*y + 1/w/z + x*y + 1/w + y + 1/x + w + w*z + 1/y + z + w*x + 1/x*z + w*x*y*z + y*z + 1/w/x/y + w/y + 1/x/y + 1/w/x + 1/w/x/z + x/z + 1/z + 1/w/y/z + 1/w/x/y/z

• series expansion

1 + 20*t^2 + 174*t^3 + 2772*t^4 + 42720*t^5 + 723530*t^6 + 12747840*t^7 + 232915060*t^8 + 4373181120*t^9 + 83928715920*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4

• operators

• order

12

• degree

129

• cpu time

15406 s

• ### polytope v24.583

• topology

#35

• Laurent polynomial

x/y + x/y*z + x + w*y*z + 1/x + 1/w + 1/x*y + 1/w/x/y + 1/w/x/y/z + 1/y*z + 1/w/x + 1/w/y/z + 1/w/y + z + w*y + 1/x/z + y + 1/x*y/z + w*x*z + 1/y + 1/z + 1/w/x/z + 1/w/z + w*x

• series expansion

1 + 18*t^2 + 168*t^3 + 2526*t^4 + 38880*t^5 + 647820*t^6 + 11254320*t^7 + 202727070*t^8 + 3751440000*t^9 + 70963781868*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

25

• cpu time

262 s

• ### polytope v24.610

• topology

#30

• Laurent polynomial

w*x + w*x*z + 1/w + 1/x*z + 1/w/x/z + 1/w/z + x/z + x/y + 1/w/y + x + 1/w/y/z + 1/y + y/z + 1/z + 1/w/x/y/z + 1/w/x/y + 1/x*y + 1/x + 1/w/x + 1/y*z + z + y + w*y*z + w*y

• series expansion

1 + 20*t^2 + 168*t^3 + 2724*t^4 + 41280*t^5 + 700040*t^6 + 12240480*t^7 + 222833380*t^8 + 4161837120*t^9 + 79503696720*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2

• operators

• order

8

• degree

38

• cpu time

493 s

• ### polytope v24.614

• topology

#30

• Laurent polynomial

w*x + w*x*z + y + x/y + x/z + x + x/y/z + 1/x*z + 1/y + 1/w/x/y/z + 1/x + 1/z + 1/x*y*z + 1/x*y + 1/w/x/z + 1/w/x/y + 1/w/y/z + 1/w + 1/w/z + 1/w/y + 1/w/x + z + w*y*z + w*y

• series expansion

1 + 20*t^2 + 168*t^3 + 2724*t^4 + 41280*t^5 + 700040*t^6 + 12240480*t^7 + 222833380*t^8 + 4161837120*t^9 + 79503696720*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2

• operators

• order

8

• degree

38

• cpu time

429 s

• ### polytope v24.671

• topology

#35

• Laurent polynomial

1/x*y*z + z + 1/y*z + 1/w/x/y + 1/w/x/y/z + x/y/z + 1/y + x/y + 1/w/y + 1/z + y/z + x/z + y + 1/w/x/z + 1/w/z + 1/w/y/z + 1/w/x + 1/x*z + 1/x + 1/x*y + w*y*z + w*z + w*x*y + w*x

• series expansion

1 + 20*t^2 + 168*t^3 + 2700*t^4 + 41040*t^5 + 691760*t^6 + 12086760*t^7 + 219346540*t^8 + 4088051520*t^9 + 77900749920*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

36

• cpu time

9078 s

• ### polytope v24.673

• topology

#35

• Laurent polynomial

x/z + x*y/z + x + w*x*y + w*x*z + y + y/z + w*y + z + 1/w/x + 1/w/y + 1/w/x/y/z + 1/w/x/z + 1/x/y*z + 1/y*z + 1/x/y + 1/w/x/y + 1/y + 1/w/z + 1/w/y/z + w*z + 1/x*z + 1/x + 1/z

• series expansion

1 + 20*t^2 + 168*t^3 + 2700*t^4 + 41040*t^5 + 691760*t^6 + 12086760*t^7 + 219346540*t^8 + 4088051520*t^9 + 77900749920*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

36

• cpu time

4330 s

• ### polytope v24.79

• topology

#6

• Laurent polynomial

1/y/z + w*z + y + 1/w/x/z + 1/x + 1/w/x/y/z + 1/w/y/z + 1/w + x*y + x + 1/w/z + 1/z + x/z + y*z + 1/w/y + 1/w/x/y + 1/w/x + z + 1/x*z + w*y*z + w + 1/y + 1/x/y + w*x

• series expansion

1 + 20*t^2 + 168*t^3 + 2652*t^4 + 40440*t^5 + 674480*t^6 + 11739840*t^7 + 211637020*t^8 + 3922260720*t^9 + 74294718120*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4

• operators

• order

12

• degree

110

• cpu time

1200 s

• ### polytope v24.81

• topology

#30

• Laurent polynomial

x*y*z + x*z + 1/z + x + 1/w/x + 1/w/x/y + y + 1/w/y + z + 1/w + y*z + 1/w/y/z + 1/w/x/z + 1/w/x/y/z + 1/x/y/z + 1/x/z + 1/y/z + 1/x/y + 1/x + w + 1/y + w*x*y*z + w*y + w*x

• series expansion

1 + 20*t^2 + 174*t^3 + 2772*t^4 + 42720*t^5 + 723530*t^6 + 12747840*t^7 + 232915060*t^8 + 4373181120*t^9 + 83928715920*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4

• operators

• order

12

• degree

129

• cpu time

2441 s

• ### polytope v24.85

• topology

#30

• Laurent polynomial

1/z + y/z + y + x/z + x/y + 1/y + 1/w*x + w/y + x + 1/w*y/z + 1/w + w/x/y*z + 1/y*z + 1/x + z + 1/x*y + 1/x*z + w + w/x + 1/w*y + 1/w/x*y + 1/w*z + 1/w*x/z + w/z

• series expansion

1 + 20*t^2 + 180*t^3 + 2796*t^4 + 43860*t^5 + 741620*t^6 + 13135920*t^7 + 240816940*t^8 + 4538567880*t^9 + 87429355020*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

92

• cpu time

2051 s

• ### polytope v24.87

• topology

#39

• Laurent polynomial

1/z + w/z + y + w + y/z + 1/w/x*z + 1/x + 1/x*z + 1/x*y + z + 1/w*y + 1/w/x*y + w/y + w/x + 1/w/y*z + 1/y*z + x/y + 1/w*z + 1/w*x + 1/w + 1/y + 1/x*y/z + x + x/z

• series expansion

1 + 20*t^2 + 168*t^3 + 2652*t^4 + 40080*t^5 + 666920*t^6 + 11536560*t^7 + 207013660*t^8 + 3816224160*t^9 + 71917261920*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

1420 s

• ### polytope v24.94

• topology

#6

• Laurent polynomial

1/x/z + 1/w/x + 1/w/x/z + w*z + z + 1/x/y + 1/x + w*x*y*z + w*y + w + x*y + x + 1/w/z + 1/w/y/z + 1/y + 1/y*z + 1/w/x/y/z + x*z + 1/w/y + 1/w + 1/w/x/y + y + y/z + 1/z

• series expansion

1 + 20*t^2 + 168*t^3 + 2676*t^4 + 40680*t^5 + 681680*t^6 + 11868360*t^7 + 214445140*t^8 + 3979898160*t^9 + 75516414120*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7

• operators

• order

18

• degree

275

• cpu time

15901 s

• ### polytope v24.95

• topology

#6

• Laurent polynomial

1/x + x/y + z + w + x + 1/w*x + x/z + w/z + 1/w*y + y + 1/w*y*z + x/y/z + 1/w + 1/z + 1/w*z + 1/w/x*y + 1/x*z + 1/x*y + 1/w/x*y*z + 1/y + w/y + 1/w/x*z + w/x + w/y/z

• series expansion

1 + 20*t^2 + 174*t^3 + 2748*t^4 + 42180*t^5 + 710570*t^6 + 12447960*t^7 + 226259740*t^8 + 4224453240*t^9 + 80636745420*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

92

• cpu time

10718 s

• ### polytope v25.5

• topology

#35

• Laurent polynomial

1/x/y + x*y/z + 1/x*z + x/z + 1/x/y*z + w + x + y + z + y/z + 1/y*z + 1/x + 1/y + 1/w + 1/z + 1/w/y/z + w*x + w*z + 1/w/y + w*y + 1/w/z + 1/w/x/z + 1/w/x + 1/w/x/y/z + 1/w/x/y

• series expansion

1 + 20*t^2 + 162*t^3 + 2676*t^4 + 39900*t^5 + 674750*t^6 + 11712540*t^7 + 211965460*t^8 + 3934080360*t^9 + 74690540820*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2

• operators

• order

8

• degree

61

• cpu time

1598 s

• ### polytope v25.51

• topology

#5

• Laurent polynomial

x*z + x/y + 1/x*y + 1/x/z + w + x + y + z + 1/y/z + y*z + 1/z + 1/y + 1/w + 1/x + w/z + w*x*y*z + 1/w/y/z + w*x + w*y + 1/w/x/z + 1/w*z + 1/w/x/y/z + 1/w/x + 1/w/y + 1/w/x/y

• series expansion

1 + 22*t^2 + 198*t^3 + 3330*t^4 + 53520*t^5 + 950710*t^6 + 17528280*t^7 + 335497330*t^8 + 6596367120*t^9 + 132596316972*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7

• operators

• order

18

• degree

276

• cpu time

6405 s

• ### polytope v25.59

• topology

#42

• Laurent polynomial

x*z + x/y*z + 1/x/z + 1/x*y/z + 1/x/y + w + x + y + z + 1/y*z + y/z + 1/w + 1/x + 1/y + 1/z + 1/w/x/y + 1/w/y*z + w*x*z + w*x*y*z + 1/w/y + 1/w/z + 1/w/x/z + w*y + w*y/z + w*x*y

• series expansion

1 + 22*t^2 + 204*t^3 + 3474*t^4 + 57000*t^5 + 1031080*t^6 + 19368720*t^7 + 377712370*t^8 + 7565838000*t^9 + 154946234772*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

74 s

• ### polytope v25.67

• topology

#29

• Laurent polynomial

x*y + 1/x/z + x*z + 1/x/y + 1/x*y/z + w + x + y + z + y/z + 1/y*z + 1/x + 1/z + 1/w + 1/y + 1/w*x + 1/w/z + w*x*z + w*y + 1/w/x/y + w*z + w/y*z + 1/w/y + 1/w/x/z + 1/w/x/y/z

• series expansion

1 + 20*t^2 + 204*t^3 + 3228*t^4 + 53400*t^5 + 947540*t^6 + 17594640*t^7 + 338369500*t^8 + 6687310560*t^9 + 135094556520*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

26

• cpu time

9798 s

• ### polytope v25.86

• topology

#41

• Laurent polynomial

1/x/z + x*y*z + x*y + 1/x/y + 1/x/y/z + w + x + y + z + y*z + 1/y/z + 1/w + 1/x + 1/y + 1/z + 1/w/x/y/z + 1/w/x/y + w*x*y*z + 1/w/z + 1/w/x + 1/w/x/z + w*y*z + w*z + 1/w/y + 1/w/y/z

• series expansion

1 + 20*t^2 + 186*t^3 + 2940*t^4 + 46680*t^5 + 803990*t^6 + 14453460*t^7 + 269264380*t^8 + 5154560880*t^9 + 100866202920*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

14

• cpu time

238 s

• ### polytope v26.120

• topology

#34

• Laurent polynomial

1/x/y + 1/x/z + x*z + x*y + 1/x*y/z + w + x + y + z + 1/y*z + y/z + 1/x + 1/z + 1/w + 1/y + 1/w*x + w*x*z + w*x*y + w*z + 1/w/x/y + w/y*z + 1/w/y + 1/w/z + w*y + 1/w/x/z + 1/w/x/y/z

• series expansion

1 + 22*t^2 + 228*t^3 + 3834*t^4 + 66360*t^5 + 1236640*t^6 + 24107160*t^7 + 486842650*t^8 + 10104089520*t^9 + 214369926372*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 3

• operators

• order

8

• degree

45

• cpu time

3832 s

• ### polytope v26.234

• topology

#42

• Laurent polynomial

x/z + 1/x*z + 1/x*y*z + x/y + x/y/z + 1/x*y + w + x + y + z + y*z + 1/y/z + 1/w + 1/y + 1/z + 1/x + w*y*z + 1/w/y + 1/w/x/z + 1/w/z + 1/w/y/z + 1/w/x/y + 1/w/x/y/z + 1/w/x + w*z + w*x

• series expansion

1 + 22*t^2 + 204*t^3 + 3474*t^4 + 57000*t^5 + 1031080*t^6 + 19368720*t^7 + 377712370*t^8 + 7565838000*t^9 + 154946234772*t^10 + O(t^11)

• exponents

0, 0, 0, 0

• operators

• order

4

• degree

11

• cpu time

1447 s

• ### polytope v26.354

• topology

#18

• Laurent polynomial

x*y + x*z + 1/x/y + 1/x/z + 1/x/y/z + w + x + y + z + y/z + 1/y*z + 1/w + 1/y + 1/x + 1/z + 1/w*x + 1/w/y*z + 1/w/y + 1/w/x/y/z + 1/w/x/z + 1/w/x/y + 1/w/z + w/x + w*z + w*y + w*x*y

• series expansion

1 + 22*t^2 + 210*t^3 + 3594*t^4 + 59760*t^5 + 1094890*t^6 + 20818560*t^7 + 411158650*t^8 + 8338975680*t^9 + 172937711772*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5

• operators

• order

14

• degree

171

• cpu time

16798 s

• ### polytope v26.697

• topology

#18

• Laurent polynomial

x*y + x*z + 1/x/z + 1/x/y + 1/x/y/z + w + x + y + z + y/z + 1/y*z + 1/w + 1/x + 1/z + 1/y + w*y + w*x*y + 1/w/x/z + 1/w/x/y/z + 1/w/z + 1/w/y + 1/w/y/z + 1/w/x + 1/w/x/y + w*x*z + w*z

• series expansion

1 + 22*t^2 + 210*t^3 + 3570*t^4 + 59640*t^5 + 1088410*t^6 + 20717760*t^7 + 408646210*t^8 + 8285556720*t^9 + 171715877172*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2

• operators

• order

8

• degree

54

• cpu time

6848 s

• ### polytope v26.705

• topology

#12

• Laurent polynomial

1/x/y/z + x/y + x*z + 1/x/z + 1/x*y + w + x + y + z + y*z + 1/y/z + 1/w + 1/x + 1/y + 1/z + 1/w*z + 1/w/x + 1/w/x/y + 1/w/y + 1/w/y/z + 1/w/x/z + 1/w/x/y/z + w*y + w*x*y*z + w*x + w*x*y

• series expansion

1 + 22*t^2 + 222*t^3 + 3714*t^4 + 63300*t^5 + 1164550*t^6 + 22409940*t^7 + 446652850*t^8 + 9150290520*t^9 + 191618704872*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2, 3, 3

• operators

• order

10

• degree

101

• cpu time

1227 s

• ### polytope v26.756

• topology

#12

• Laurent polynomial

x*z + 1/x*y + 1/x/z + x/y + w + x + y + z + y*z + 1/y/z + 1/z + 1/y + 1/w + 1/x + w/z + w*y*z + w*y + w*x + 1/w/x/y + 1/w/x/z + 1/w/y/z + 1/w*z + 1/w/x/y/z + 1/w/x + 1/w/y + w*x*z

• series expansion

1 + 24*t^2 + 216*t^3 + 3864*t^4 + 64440*t^5 + 1195800*t^6 + 23007600*t^7 + 459677400*t^8 + 9435409200*t^9 + 198009192024*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 2

• operators

• order

8

• degree

48

• cpu time

5166 s

• ### polytope v27.186

• topology

#11

• Laurent polynomial

1/x*y/z + 1/x/z + x*z + x/y*z + 1/x/y + w + x + y + z + y/z + 1/y*z + 1/w + 1/x + 1/y + 1/z + 1/w/x/y + 1/w/y*z + 1/w/x + w*x*z + w*x*y*z + 1/w/z + 1/w/x/z + w*y/z + w*x*y + w*y + w*x + 1/w/y

• series expansion

1 + 24*t^2 + 252*t^3 + 4464*t^4 + 80280*t^5 + 1559220*t^6 + 31678920*t^7 + 666736560*t^8 + 14423325840*t^9 + 318964378824*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

19

• cpu time

152 s

• ### polytope v27.221

• topology

#23

• Laurent polynomial

x*z + x/y*z + x*y + 1/x/z + 1/x*y/z + 1/x/y + w + x + y + z + 1/y*z + y/z + 1/x + 1/w + 1/y + 1/z + w/x + w*z + w*y + 1/w/x/y + 1/w/z + 1/w*x + w*x*z + 1/w/x/y/z + 1/w/x/z + w*x*y + 1/w/y

• series expansion

1 + 26*t^2 + 240*t^3 + 4590*t^4 + 79440*t^5 + 1554020*t^6 + 31308480*t^7 + 656904430*t^8 + 14146167840*t^9 + 311593416876*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

26

• cpu time

3777 s

• ### polytope v27.3310

• topology

#1

• Laurent polynomial

x*y/z + 1/x/y*z + x*y + 1/x/z + x*z + 1/x/y + w + x + z + 1/y*z + y/z + 1/z + 1/x + 1/w + w*y + w*y/z + 1/w/x/z + 1/w*x + w*x*y + 1/w/z + 1/w/x/y/z + 1/w/y*z + 1/w/y + 1/w/x/y + w*x*z + w*z + w/x

• series expansion

1 + 26*t^2 + 246*t^3 + 4614*t^4 + 80640*t^5 + 1570310*t^6 + 31681440*t^7 + 664048630*t^8 + 14296956240*t^9 + 314741778876*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1, 2, 3, 3, 4

• operators

• order

10

• degree

89

• cpu time

970 s

• ### polytope v28.4283

• topology

#4

• Laurent polynomial

1/x*y/z + 1/x/z + x*z + x*y + x/y*z + 1/x/y + w + x + y + y/z + 1/y*z + 1/w + 1/y + 1/z + 1/x + 1/w/y + w/x + 1/w*y/z + 1/w/z + 1/w/x/z + 1/w*x + 1/w/x/y + 1/w/x/y/z + w/y*z + w*x*y*z + w*y + w*x*z + w*z

• series expansion

1 + 26*t^2 + 270*t^3 + 5046*t^4 + 93060*t^5 + 1869470*t^6 + 39229260*t^7 + 853046950*t^8 + 19068761880*t^9 + 435768590376*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

25

• cpu time

400 s

• ### polytope v28.5131

• topology

#4

• Laurent polynomial

x/y + 1/x*y*z + 1/x*y + 1/x*z + x/z + x/y/z + x + y + z + 1/y*z + y/z + 1/y + 1/x + 1/w + 1/z + w*x + w*x*y + w*x*z + 1/w/x/y + w*z + w*y*z + 1/w/y + 1/w/x/z + 1/w/z + 1/w/y/z + 1/w/x + 1/w/x/y/z + w*y

• series expansion

1 + 26*t^2 + 264*t^3 + 5046*t^4 + 91680*t^5 + 1848860*t^6 + 38643360*t^7 + 839302870*t^8 + 18722222400*t^9 + 427069745676*t^10 + O(t^11)

• exponents

0, 0, 0, 0, 1, 1

• operators

• order

6

• degree

35

• cpu time

12995 s