Summary

You searched for: inst=96

Your search produced 2 matches

You can download all data as plain text or as JSON

1

New Number: 2.31 |  AESZ: 7**  |  Superseeker: 96 -12064  |  Hash: 2c494088fc85599f73fb344776dbbb28  

Degree: 2

\(\theta^4-2^{4} x(2\theta+1)^2(32\theta^2+32\theta+13)+2^{16} x^{2}(2\theta+1)^2(2\theta+3)^2\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 208, 107280, 70739200, 52362595600, ...
--> OEIS
Normalized instanton numbers (n0=1): 96, -3560, -12064, 1941800, -489007584, ... ; Common denominator:...

Discriminant

\((1024z-1)^2\)

Local exponents

\(0\)\(\frac{ 1}{ 1024}\)\(\infty\)
\(0\)\(0\)\(\frac{ 1}{ 2}\)
\(0\)\(\frac{ 1}{ 4}\)\(\frac{ 1}{ 2}\)
\(0\)\(\frac{ 3}{ 4}\)\(\frac{ 3}{ 2}\)
\(0\)\(1\)\(\frac{ 3}{ 2}\)

Note:

This operator replaces AESZ 43, to which it is equivalent.

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

2

New Number: 5.123 |  AESZ:  |  Superseeker: 96 266464  |  Hash: b9a4a4eae678c9ce13a407517f92c30e  

Degree: 5

\(\theta^4+2^{4} x\left(28\theta^4-40\theta^3-28\theta^2-8\theta-1\right)+2^{13} x^{2}\left(6\theta^4-12\theta^3+17\theta^2+10\theta+2\right)+2^{18} x^{3}\left(12\theta^4+72\theta^3+35\theta^2-3\theta-4\right)+2^{26} x^{4}(2\theta+1)(4\theta^3-6\theta^2-15\theta-7)-2^{34} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 16, -240, -24320, 2075920, ...
--> OEIS
Normalized instanton numbers (n0=1): 96, -4200, 266464, -20295944, 1778341408, ... ; Common denominator:...

Discriminant

\(-(64z-1)(16384z^2+1)(1+256z)^2\)

Local exponents

\(-\frac{ 1}{ 256}\)\(0-\frac{ 1}{ 128}I\)\(0\)\(0+\frac{ 1}{ 128}I\)\(\frac{ 1}{ 64}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(\frac{ 1}{ 2}\)
\(1\)\(1\)\(0\)\(1\)\(1\)\(1\)
\(3\)\(1\)\(0\)\(1\)\(1\)\(1\)
\(4\)\(2\)\(0\)\(2\)\(2\)\(\frac{ 3}{ 2}\)

Note:

B-Incarnation as fibre product 62211- x 812--1

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