Summary

You searched for: c3=-296

Your search produced 3 matches

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1

New Number: 3.24 |  AESZ:  |  Superseeker: -2 -108  |  Hash: 3c89cc2017daa2eba88c016b8ae5865c  

Degree: 3

\(\theta^4+2 x(2\theta+1)^2(3\theta^2+3\theta+1)-2^{2} x^{2}(2\theta+1)(2\theta+3)(47\theta^2+94\theta+51)+2^{4} 7 x^{3}(2\theta+1)(2\theta+3)^2(2\theta+5)\)

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Coefficients of the holomorphic solution: 1, -2, 54, -980, 26950, ...
--> OEIS
Normalized instanton numbers (n0=1): -2, 17, -108, 1498, -19630, ... ; Common denominator:...

Discriminant

\((16z-1)(112z^2-40z-1)\)

Local exponents

\(\frac{ 5}{ 28}-\frac{ 1}{ 7}\sqrt{ 2}\)\(0\)\(\frac{ 1}{ 16}\)\(\frac{ 5}{ 28}+\frac{ 1}{ 7}\sqrt{ 2}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(\frac{ 1}{ 2}\)
\(1\)\(0\)\(1\)\(1\)\(\frac{ 3}{ 2}\)
\(1\)\(0\)\(1\)\(1\)\(\frac{ 3}{ 2}\)
\(2\)\(0\)\(2\)\(2\)\(\frac{ 5}{ 2}\)

Note:

This is operator $\tilde{C_9}$

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2

New Number: 5.96 |  AESZ: 339  |  Superseeker: 12 28  |  Hash: 41593acc689cf76c174442db98218947  

Degree: 5

\(\theta^4-2^{2} x\left(10\theta^4+50\theta^3+39\theta^2+14\theta+2\right)+2^{4} x^{2}\left(177\theta^4+1158\theta^3+2007\theta^2+1158\theta+230\right)+2^{8} x^{3}\left(539\theta^4+1344\theta^3-300\theta^2-1068\theta-340\right)+2^{10} 5 x^{4}(2\theta+1)(4\theta^3-642\theta^2-1002\theta-385)-2^{13} 3 5^{2} x^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)\)

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Coefficients of the holomorphic solution: 1, 8, 0, -6400, -249200, ...
--> OEIS
Normalized instanton numbers (n0=1): 12, -339/2, 28, 27639/2, 634692, ... ; Common denominator:...

Discriminant

\(-(55296z^3-5632z^2+80z-1)(1+20z)^2\)

Local exponents

\(-\frac{ 1}{ 20}\)\(0\) ≈\(0.007072-0.012497I\) ≈\(0.007072+0.012497I\) ≈\(0.087707\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(\frac{ 1}{ 2}\)
\(1\)\(0\)\(1\)\(1\)\(1\)\(\frac{ 2}{ 3}\)
\(3\)\(0\)\(1\)\(1\)\(1\)\(\frac{ 4}{ 3}\)
\(4\)\(0\)\(2\)\(2\)\(2\)\(\frac{ 3}{ 2}\)

Note:

This is operator "5.96" from ...

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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

\(1-65536z\)

Local exponents

\(0\)\(\frac{ 1}{ 65536}\)\(\infty\)
\(0\)\(0\)\(\frac{ 1}{ 8}\)
\(0\)\(1\)\(\frac{ 3}{ 8}\)
\(0\)\(1\)\(\frac{ 5}{ 8}\)
\(0\)\(2\)\(\frac{ 7}{ 8}\)

Note:

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

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