Summary

You searched for: c3=-156

Your search produced 4 matches

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1

New Number: 2.10 |  AESZ: 70  |  Superseeker: 27 18089  |  Hash: 3d2adae6eaf26a56c76b8b67d92cc5df  

Degree: 2

\(\theta^4-3 x(3\theta+1)(3\theta+2)(10\theta^2+10\theta+3)+3^{4} x^{2}(3\theta+1)(3\theta+2)(3\theta+4)(3\theta+5)\)

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Coefficients of the holomorphic solution: 1, 18, 1350, 156240, 22141350, ...
--> OEIS
Normalized instanton numbers (n0=1): 27, 432, 18089, 997785, 68438142, ... ; Common denominator:...

Discriminant

\((243z-1)(27z-1)\)

Local exponents

\(0\)\(\frac{ 1}{ 243}\)\(\frac{ 1}{ 27}\)\(\infty\)
\(0\)\(0\)\(0\)\(\frac{ 1}{ 3}\)
\(0\)\(1\)\(1\)\(\frac{ 2}{ 3}\)
\(0\)\(1\)\(1\)\(\frac{ 4}{ 3}\)
\(0\)\(2\)\(2\)\(\frac{ 5}{ 3}\)

Note:

Hadamard product $B\ast c$.

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2

New Number: 2.25 |  AESZ: 138  |  Superseeker: 27 2618  |  Hash: c524254b716132352b27914640b03c8b  

Degree: 2

\(\theta^4-3 x(3\theta+1)(3\theta+2)(17\theta^2+17\theta+6)+2^{3} 3^{4} x^{2}(3\theta+1)(3\theta+2)(3\theta+4)(3\theta+5)\)

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Coefficients of the holomorphic solution: 1, 36, 3780, 524160, 82952100, ...
--> OEIS
Normalized instanton numbers (n0=1): 27, 189/4, 2618, 43713, 2319057, ... ; Common denominator:...

Discriminant

\((243z-1)(216z-1)\)

Local exponents

\(0\)\(\frac{ 1}{ 243}\)\(\frac{ 1}{ 216}\)\(\infty\)
\(0\)\(0\)\(0\)\(\frac{ 1}{ 3}\)
\(0\)\(1\)\(1\)\(\frac{ 2}{ 3}\)
\(0\)\(1\)\(1\)\(\frac{ 4}{ 3}\)
\(0\)\(2\)\(2\)\(\frac{ 5}{ 3}\)

Note:

Hadamard product $B\ast g$.

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3

New Number: 1.11 |  AESZ: 11  |  Superseeker: 324 10792428  |  Hash: 8ac8b98b80383c9f0ea125ccd6e6a55d  

Degree: 1

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

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Coefficients of the holomorphic solution: 1, 72, 37800, 31046400, 31216185000, ...
--> OEIS
Normalized instanton numbers (n0=1): 324, 37260, 10792428, 4580482284, 2405245303584, ... ; Common denominator:...

Discriminant

\(\)

No data for singularities

Note:

A-incarnation: X(4,6) in P^5(1,1,1,2,2,3)

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4

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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