Summary

You searched for: inst=13165993300256

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1

New Number: 6.33 |  AESZ:  |  Superseeker: 352 26115552  |  Hash: 0677bb20f37d2fa88bafbc665d5157c1  

Degree: 6

\(\theta^4-2^{4} x\left(96\theta^4+192\theta^3+404\theta^2+308\theta+85\right)+2^{12} x^{2}\left(112\theta^4+448\theta^3+416\theta^2-64\theta-159\right)+2^{20} x^{3}\left(192\theta^4+1152\theta^3+3448\theta^2+5160\theta+3101\right)-2^{28} x^{4}\left(272\theta^4+2176\theta^3+6880\theta^2+10112\theta+5757\right)-2^{38} 3 x^{5}\left(8\theta^4+80\theta^3+315\theta^2+575\theta+407\right)+2^{48} 3^{2} x^{6}\left((\theta+3)^4\right)\)

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Coefficients of the holomorphic solution: 1, 1360, 1516304, 1522167040, 1444349938960, ...
--> OEIS
Normalized instanton numbers (n0=1): 352, 60664, 26115552, 16623590600, 13165993300256, ... ; Common denominator:...

Discriminant

\((256z-1)^2(768z-1)^2(256z+1)^2\)

Local exponents

\(-\frac{ 1}{ 256}\)\(0\)\(\frac{ 1}{ 768}\)\(\frac{ 1}{ 256}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(3\)
\(0\)\(0\)\(1\)\(\frac{ 1}{ 2}\)\(3\)
\(1\)\(0\)\(-2\)\(\frac{ 1}{ 2}\)\(3\)
\(1\)\(0\)\(3\)\(1\)\(3\)

Note:

This is operator "6.33" from ...

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2

New Number: 7.18 |  AESZ:  |  Superseeker: 352 26115552  |  Hash: df2c3b4e6a3366531b24bb05809eb1a4  

Degree: 7

\(\theta^4-2^{4} x\left(144\theta^4-192\theta^3-172\theta^2-76\theta-11\right)+2^{14} x^{2}\left(100\theta^4-320\theta^3-25\theta^2+155\theta+36\right)-2^{21} x^{3}\left(72\theta^4-1248\theta^3+628\theta^2-180\theta-97\right)-2^{30} x^{4}\left(212\theta^4+256\theta^3-14\theta^2+86\theta+15\right)+2^{36} 3 x^{5}\left(240\theta^4-320\theta^3-332\theta^2-380\theta-119\right)+2^{46} 3^{2} x^{6}\left(12\theta^4+64\theta^3+99\theta^2+67\theta+17\right)-2^{56} 3^{3} x^{7}\left((\theta+1)^4\right)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, -176, 17168, -4715264, 653856016, ...
--> OEIS
Normalized instanton numbers (n0=1): 352, 60664, 26115552, 16623590600, 13165993300256, ... ; Common denominator:...

Discriminant

\(-(256z-1)^2(256z+1)^2(768z-1)^3\)

Local exponents

\(-\frac{ 1}{ 256}\)\(0\)\(\frac{ 1}{ 768}\)\(\frac{ 1}{ 256}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(1\)
\(0\)\(0\)\(2\)\(\frac{ 1}{ 2}\)\(1\)
\(1\)\(0\)\(3\)\(\frac{ 1}{ 2}\)\(1\)
\(1\)\(0\)\(5\)\(1\)\(1\)

Note:

This is operator "7.18" from ...

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