Summary

You searched for: h3=1

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1

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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2

New Number: 1.2 |  AESZ: 2  |  Superseeker: 231200 1700894366474400  |  Hash: 709cba5c90462e9488c8a3dbbee8f89c  

Degree: 1

\(\theta^4-2^{4} 5 x(10\theta+1)(10\theta+3)(10\theta+7)(10\theta+9)\)

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Coefficients of the holomorphic solution: 1, 15120, 3491888400, 1304290155168000, 601680868708529610000, ...
--> OEIS
Normalized instanton numbers (n0=1): 231200, 12215785600, 1700894366474400, 350154658851324656000, 89338191421813572850115680, ... ; Common denominator:...

Discriminant

\(1-800000z\)

Local exponents

\(0\)\(\frac{ 1}{ 800000}\)\(\infty\)
\(0\)\(0\)\(\frac{ 1}{ 10}\)
\(0\)\(1\)\(\frac{ 3}{ 10}\)
\(0\)\(1\)\(\frac{ 7}{ 10}\)
\(0\)\(2\)\(\frac{ 9}{ 10}\)

Note:

A-incarnation: X(10) in P^4(1,1,1,2,5)

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3

New Number: 1.9 |  AESZ: 9  |  Superseeker: 678816 69080128815414048  |  Hash: 33dd5470a0dc987468fcd11c1de8ee11  

Degree: 1

\(\theta^4-2^{4} 3^{2} x(12\theta+1)(12\theta+5)(12\theta+7)(12\theta+11)\)

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Coefficients of the holomorphic solution: 1, 55440, 48188059920, 67388324683680000, 116214168909224876490000, ...
--> OEIS
Normalized instanton numbers (n0=1): 678816, 137685060720, 69080128815414048, 51172489466251340674608, 46928387692914781844159094240, ... ; Common denominator:...

Discriminant

\(1-2985984z\)

Local exponents

\(0\)\(\frac{ 1}{ 2985984}\)\(\infty\)
\(0\)\(0\)\(\frac{ 1}{ 12}\)
\(0\)\(1\)\(\frac{ 5}{ 12}\)
\(0\)\(1\)\(\frac{ 7}{ 12}\)
\(0\)\(2\)\(\frac{ 11}{ 12}\)

Note:

A-incarnation: X(2,12) in P^5(1,1,1,1,4,6)

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