Summary

You searched for: h3=144

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1

New Number: 3.11 |  AESZ:  |  Superseeker: 37 15270  |  Hash: e7db0935aa1b331d8fb696a009d2d7bb  

Degree: 3

\(\theta^4-x\left(865\theta^4+1730\theta^3+1501\theta^2+636\theta+108\right)+2^{5} 3^{2} x^{2}(\theta+1)^2(866\theta^2+1732\theta+709)-2^{8} 3^{4} 17^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)

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Coefficients of the holomorphic solution: 1, 108, 19908, 4278240, 990152100, ...
--> OEIS
Normalized instanton numbers (n0=1): 37, -570, 15270, -529994, 21300463, ... ; Common denominator:...

Discriminant

\(-(289z-1)(-1+288z)^2\)

Local exponents

\(0\)\(\frac{ 1}{ 289}\)\(\frac{ 1}{ 288}\)\(\infty\)
\(0\)\(0\)\(0\)\(\frac{ 1}{ 2}\)
\(0\)\(1\)\(\frac{ 1}{ 2}\)\(1\)
\(0\)\(1\)\(\frac{ 1}{ 2}\)\(2\)
\(0\)\(2\)\(1\)\(\frac{ 5}{ 2}\)

Note:

Operator equivalent to AESZ 144=c \ast c$

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2

New Number: 5.93 |  AESZ: 333  |  Superseeker: 1 2668/3  |  Hash: dc274781605ee4262d8745e3fa3a8057  

Degree: 5

\(\theta^4+x\theta^2(71\theta^2-2\theta-1)+2^{3} 3 x^{2}\left(154\theta^4+334\theta^3+461\theta^2+248\theta+48\right)+2^{6} 3^{2} x^{3}(5\theta+3)(31\theta^3+39\theta^2-25\theta-21)+2^{9} 3^{4} x^{4}(2\theta+1)(2\theta^3-33\theta^2-56\theta-24)-2^{12} 3^{6} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

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Coefficients of the holomorphic solution: 1, 0, -72, 1440, 22680, ...
--> OEIS
Normalized instanton numbers (n0=1): 1, -66, 2668/3, -2774, -167786, ... ; Common denominator:...

Discriminant

\(-(9z-1)(2304z^2+32z+1)(1+24z)^2\)

Local exponents

\(-\frac{ 1}{ 24}\)\(-\frac{ 1}{ 144}-\frac{ 1}{ 72}\sqrt{ 2}I\)\(-\frac{ 1}{ 144}+\frac{ 1}{ 72}\sqrt{ 2}I\)\(0\)\(\frac{ 1}{ 9}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(\frac{ 1}{ 2}\)
\(1\)\(1\)\(1\)\(0\)\(1\)\(1\)
\(3\)\(1\)\(1\)\(0\)\(1\)\(1\)
\(4\)\(2\)\(2\)\(0\)\(2\)\(\frac{ 3}{ 2}\)

Note:

This is operator "5.93" from ...

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