Summary

You searched for: inst=8076

Your search produced 2 matches

You can download all data as plain text or as JSON

1

New Number: 2.18 |  AESZ: 110  |  Superseeker: 36 8076  |  Hash: 5060b638cac581d5f0f9dd7f40d90e6c  

Degree: 2

\(\theta^4-2^{2} 3 x(3\theta+1)(3\theta+2)(8\theta^2+8\theta+3)+2^{8} 3^{2} x^{2}(3\theta+1)(3\theta+2)(3\theta+4)(3\theta+5)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 72, 14760, 3951360, 1198751400, ...
--> OEIS
Normalized instanton numbers (n0=1): 36, -144, 8076, -57996, 6960672, ... ; Common denominator:...

Discriminant

\((432z-1)^2\)

Local exponents

\(0\)\(\frac{ 1}{ 432}\)\(\infty\)
\(0\)\(0\)\(\frac{ 1}{ 3}\)
\(0\)\(\frac{ 1}{ 2}\)\(\frac{ 2}{ 3}\)
\(0\)\(\frac{ 1}{ 2}\)\(\frac{ 4}{ 3}\)
\(0\)\(1\)\(\frac{ 5}{ 3}\)

Show more...  or download as   plain text  |  PDF  |  Maple  |  LaTex  

2

New Number: 3.22 |  AESZ: 392  |  Superseeker: 166 1016100  |  Hash: 5862be5cc4d3ec1686e6b9a6ec08f7e7  

Degree: 3

\(\theta^4-2 x\left(230\theta^4+496\theta^3+323\theta^2+75\theta+6\right)-2^{2} 3 x^{2}(6\theta+5)(1866\theta^3+5341\theta^2+4760\theta+1084)-2^{4} 3^{2} 13^{2} x^{3}(6\theta+5)(6\theta+11)(3\theta+1)(3\theta+7)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 12, 5760, 1664544, 681014880, ...
--> OEIS
Normalized instanton numbers (n0=1): 166, 8076, 1016100, 189329096, 43879949258, ... ; Common denominator:...

Discriminant

\(-(676z-1)(1+108z)^2\)

Local exponents

\(-\frac{ 1}{ 108}\)\(0\)\(\frac{ 1}{ 676}\)\(\infty\)
\(0\)\(0\)\(0\)\(\frac{ 1}{ 3}\)
\(\frac{ 1}{ 3}\)\(0\)\(1\)\(\frac{ 5}{ 6}\)
\(1\)\(0\)\(1\)\(\frac{ 11}{ 6}\)
\(\frac{ 4}{ 3}\)\(0\)\(2\)\(\frac{ 7}{ 3}\)

Note:

This is operator "3.22" from ...

Show more...  or download as   plain text  |  PDF  |  Maple  |  LaTex