Summary

You searched for: dim_h=2

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1

New Number: 4.56 |  AESZ: 277  |  Superseeker: 4192 2124587232  |  Hash: 9d905a8d31566f4976cbeb2d3bf0624c  

Degree: 4

\(\theta^4+2^{4} x\left(576\theta^4-1152\theta^3-724\theta^2-148\theta-13\right)-2^{17} x^{2}\left(32\theta^4+992\theta^3-166\theta^2-57\theta-6\right)-2^{26} 3 x^{3}\left(832\theta^4+768\theta^3+556\theta^2+192\theta+25\right)-2^{40} 3^{2} x^{4}\left((2\theta+1)^4\right)\)

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Coefficients of the holomorphic solution: 1, 208, 254736, 490988800, 1163138813200, ...
--> OEIS
Normalized instanton numbers (n0=1): 4192, -1708008, 2124587232, -2777042329304, 4857272052090400, ... ; Common denominator:...

Discriminant

\(-(1024z+1)(4096z-1)(1+6144z)^2\)

Local exponents

\(-\frac{ 1}{ 1024}\)\(-\frac{ 1}{ 6144}\)\(0\)\(\frac{ 1}{ 4096}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(\frac{ 1}{ 2}\)
\(1\)\(1\)\(0\)\(1\)\(\frac{ 1}{ 2}\)
\(1\)\(3\)\(0\)\(1\)\(\frac{ 1}{ 2}\)
\(2\)\(4\)\(0\)\(2\)\(\frac{ 1}{ 2}\)

Note:

Sporadic Operator. There is a second MUM-point hiding at
infinity, corresponding to Operator 4.33, reducible to 3.35.

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2

New Number: 4.61 |  AESZ: 289  |  Superseeker: 8224 15542388128  |  Hash: 673413653f5554d4f0cc1a8af33e8bbe  

Degree: 4

\(\theta^4-2^{4} x\left(400\theta^4+2720\theta^3+1752\theta^2+392\theta+33\right)-2^{15} x^{2}\left(4272\theta^4+6288\theta^3-3184\theta^2-1484\theta-177\right)-2^{24} 5 x^{3}\left(4688\theta^4-1536\theta^3-1384\theta^2-336\theta-27\right)+2^{36} 5^{2} x^{4}(4\theta+1)(2\theta+1)^2(4\theta+3)\)

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Coefficients of the holomorphic solution: 1, 528, 2434320, 18496262400, 174225386134800, ...
--> OEIS
Normalized instanton numbers (n0=1): 8224, 3407456, 15542388128, 54609260446560, 282477571639256928, ... ; Common denominator:...

Discriminant

\((16384z-1)(256z-1)(1+5120z)^2\)

Local exponents

\(-\frac{ 1}{ 5120}\)\(0\)\(\frac{ 1}{ 16384}\)\(\frac{ 1}{ 256}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(\frac{ 1}{ 4}\)
\(1\)\(0\)\(1\)\(1\)\(\frac{ 1}{ 2}\)
\(3\)\(0\)\(1\)\(1\)\(\frac{ 1}{ 2}\)
\(4\)\(0\)\(2\)\(2\)\(\frac{ 3}{ 4}\)

Note:

Sporadic Operator.

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3

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

\(\)

No data for singularities

Note:

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

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