Summary

You searched for: sol=3600

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1

New Number: 4.41 |  AESZ: 220  |  Superseeker: 128 382592  |  Hash: 671a1aa788ead53985e13ad6774d0189  

Degree: 4

\(\theta^4-2^{4} x\left(20\theta^4+56\theta^3+38\theta^2+10\theta+1\right)-2^{10} x^{2}\left(84\theta^4+240\theta^3+261\theta^2+134\theta+25\right)-2^{16} x^{3}(2\theta+1)^2(23\theta^2+55\theta+39)-2^{23} x^{4}(2\theta+1)^2(2\theta+3)^2\)

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Coefficients of the holomorphic solution: 1, 16, 3600, 851200, 257328400, ...
--> OEIS
Normalized instanton numbers (n0=1): 128, 4084, 382592, 51510860, 8644861312, ... ; Common denominator:...

Discriminant

\(-(512z-1)(64z+1)^3\)

Local exponents

\(-\frac{ 1}{ 64}\)\(0\)\(\frac{ 1}{ 512}\)\(\infty\)
\(0\)\(0\)\(0\)\(\frac{ 1}{ 2}\)
\(\frac{ 1}{ 2}\)\(0\)\(1\)\(\frac{ 1}{ 2}\)
\(\frac{ 3}{ 2}\)\(0\)\(1\)\(\frac{ 3}{ 2}\)
\(2\)\(0\)\(2\)\(\frac{ 3}{ 2}\)

Note:

Sporadic Operator.
Reducible to 3.32, so not a primary operator.
B-Incarnation: 81111- x 82--11

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2

New Number: 1.13 |  AESZ: 13  |  Superseeker: 67104 28583248229280  |  Hash: f833f256db6c016c021add7a2104d2c7  

Degree: 1

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

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Coefficients of the holomorphic solution: 1, 3600, 192099600, 16679709446400, 1791735431214128400, ...
--> OEIS
Normalized instanton numbers (n0=1): 67104, 847288224, 28583248229280, 1431885139218997920, 88985016340513371957600, ... ; Common denominator:...

Discriminant

\(1-186624z\)

Local exponents

\(0\)\(\frac{ 1}{ 186624}\)\(\infty\)
\(0\)\(0\)\(\frac{ 1}{ 6}\)
\(0\)\(1\)\(\frac{ 1}{ 6}\)
\(0\)\(1\)\(\frac{ 5}{ 6}\)
\(0\)\(2\)\(\frac{ 5}{ 6}\)

Note:

A-incarnation: X(6,6) in P^5(1,1,2,2,3,3)

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