Summary

You searched for: h3=9

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1

New Number: 3.7 |  AESZ: ~73  |  Superseeker: 90 151648  |  Hash: 9f672e1168859bdcc8ddc7a201c57968  

Degree: 3

\(\theta^4-2 3^{2} x\left(6\theta^4+12\theta^3+3\theta^2-3\theta-1\right)-2^{2} 3^{6} x^{2}(\theta+1)^2(20\theta^2+40\theta+17)-2^{4} 3^{10} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)

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Coefficients of the holomorphic solution: 1, -18, 2754, 37620, 43789410, ...
--> OEIS
Normalized instanton numbers (n0=1): 90, 2196, 151648, 14813388, 1820806056, ... ; Common denominator:...

Discriminant

\(-(324z-1)(1+108z)^2\)

Local exponents

\(-\frac{ 1}{ 108}\)\(0\)\(\frac{ 1}{ 324}\)\(\infty\)
\(0\)\(0\)\(0\)\(\frac{ 1}{ 2}\)
\(0\)\(0\)\(1\)\(1\)
\(1\)\(0\)\(1\)\(2\)
\(1\)\(0\)\(2\)\(\frac{ 5}{ 2}\)

Note:

Operator equivalent to AESZ 73

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2

New Number: 1.4 |  AESZ: 4  |  Superseeker: 117 713814  |  Hash: 1f2a9672b7cdc68eae658b2304b40dbd  

Degree: 1

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

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Coefficients of the holomorphic solution: 1, 36, 8100, 2822400, 1200622500, ...
--> OEIS
Normalized instanton numbers (n0=1): 117, 5868, 713814, 126605376, 27754210287, ... ; Common denominator:...

Discriminant

\(1-729z\)

Local exponents

\(0\)\(\frac{ 1}{ 729}\)\(\infty\)
\(0\)\(0\)\(\frac{ 1}{ 3}\)
\(0\)\(1\)\(\frac{ 1}{ 3}\)
\(0\)\(1\)\(\frac{ 2}{ 3}\)
\(0\)\(2\)\(\frac{ 2}{ 3}\)

Note:

A-incarnation: X(3,3) in P^5.

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