Summary

You searched for: h3=2

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1

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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2

New Number: 1.12 |  AESZ: 12  |  Superseeker: 7776 66942277344  |  Hash: ad7e2e881b3939396323eb746eb17a58  

Degree: 1

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

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Coefficients of the holomorphic solution: 1, 720, 5821200, 75473798400, 1205906199498000, ...
--> OEIS
Normalized instanton numbers (n0=1): 7776, 13952088, 66942277344, 475338414733416, 4184555647748620320, ... ; Common denominator:...

Discriminant

\(\)

No data for singularities

Note:

A-incarnation: X(3,4) in P^5(1,1,1,1,1,2)

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3

New Number: 1.7 |  AESZ: 7  |  Superseeker: 14752 711860273440  |  Hash: b899892fb606c7eeb86a2cc55f92d6f2  

Degree: 1

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

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Coefficients of the holomorphic solution: 1, 1680, 32432400, 999456057600, 37905932634570000, ...
--> OEIS
Normalized instanton numbers (n0=1): 14752, 64417456, 711860273440, 11596528012396656, 233938237312624658400, ... ; Common denominator:...

Discriminant

\(\)

No data for singularities

Note:

A-incarnation: X(8) in P^4(1,1,1,1,4)

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