Computing periods of rational integrals
Supplementary 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)
The implementation used to perform the computations is available at github under the CeCILL license v2.1:
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)
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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