Summary

You searched for: inst=-288

Your search produced 3 matches

You can download all data as plain text or as JSON

1

New Number: 2.19 |  AESZ: 112  |  Superseeker: -288 -96055968  |  Hash: 9a988f0cb0ca922885043cdadf98dd79  

Degree: 2

\(\theta^4-2^{4} 3 x(6\theta+1)(6\theta+5)(8\theta^2+8\theta+3)+2^{12} 3^{2} x^{2}(6\theta+1)(6\theta+5)(6\theta+7)(6\theta+11)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 720, 2273040, 9605756160, 46308725583120, ...
--> OEIS
Normalized instanton numbers (n0=1): -288, 162504, -96055968, 106571782296, -135291308081760, ... ; Common denominator:...

Discriminant

\((6912z-1)^2\)

Local exponents

\(0\)\(\frac{ 1}{ 6912}\)\(\infty\)
\(0\)\(0\)\(\frac{ 1}{ 6}\)
\(0\)\(\frac{ 1}{ 2}\)\(\frac{ 5}{ 6}\)
\(0\)\(\frac{ 1}{ 2}\)\(\frac{ 7}{ 6}\)
\(0\)\(1\)\(\frac{ 11}{ 6}\)

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

2

New Number: 2.42 |  AESZ: ~98  |  Superseeker: -288 -2339616  |  Hash: acfee9d4b5fefd1a945cfa6b1bc61373  

Degree: 2

\(\theta^4-2^{2} 3 x\left(288\theta^4+576\theta^3+682\theta^2+394\theta+87\right)+2^{4} 3^{2} x^{2}(12\theta+11)^2(12\theta+13)^2\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 1044, 1403100, 2051002800, 3126485684700, ...
--> OEIS
Normalized instanton numbers (n0=1): -288, -19260, -2339616, -369882612, -67925445408, ... ; Common denominator:...

Discriminant

\((1728z-1)^2\)

Local exponents

\(0\)\(\frac{ 1}{ 1728}\)\(\infty\)
\(0\)\(0\)\(\frac{ 11}{ 12}\)
\(0\)\(-\frac{ 1}{ 2}\)\(\frac{ 11}{ 12}\)
\(0\)\(1\)\(\frac{ 13}{ 12}\)
\(0\)\(\frac{ 3}{ 2}\)\(\frac{ 13}{ 12}\)

Note:

Operator equivalent to $\hat{5}$

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

3

New Number: 2.63 |  AESZ: 84  |  Superseeker: -4 -44  |  Hash: 908b978c0c447d3643c3018c40e7f5d1  

Degree: 2

\(\theta^4-2^{2} x\left(32\theta^4+64\theta^3+63\theta^2+31\theta+6\right)+2^{8} x^{2}(4\theta+3)(\theta+1)^2(4\theta+5)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 24, 936, 43008, 2145960, ...
--> OEIS
Normalized instanton numbers (n0=1): -4, -11, -44, -156, -288, ... ; Common denominator:...

Discriminant

\((64z-1)^2\)

Local exponents

\(0\)\(\frac{ 1}{ 64}\)\(\infty\)
\(0\)\(0\)\(\frac{ 3}{ 4}\)
\(0\)\(0\)\(1\)
\(0\)\(1\)\(1\)
\(0\)\(1\)\(\frac{ 5}{ 4}\)

Note:

This is operator "2.63" from ...

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