Summary

You searched for: sol=-872528/27

Your search produced exactly one match

1

New Number: 10.10 |  AESZ:  |  Superseeker: 28/3 83612/81  |  Hash: 8270c1ecc701d7cbd422a656c6118587  

Degree: 10

\(3^{2} \theta^4+2^{2} 3 x\left(220\theta^4+152\theta^3+207\theta^2+131\theta+31\right)+2^{4} x^{2}\left(20608\theta^4+32896\theta^3+50132\theta^2+37496\theta+11991\right)+2^{8} x^{3}\left(89936\theta^4+243168\theta^3+429080\theta^2+391080\theta+152645\right)+2^{12} x^{4}\left(242448\theta^4+966912\theta^3+2030168\theta^2+2199488\theta+1002377\right)+2^{20} x^{5}\left(26320\theta^4+142696\theta^3+359216\theta^2+454946\theta+237357\right)+2^{23} x^{6}\left(59600\theta^4+415872\theta^3+1247376\theta^2+1826640\theta+1079063\right)+2^{28} x^{7}\left(21712\theta^4+187424\theta^3+661000\theta^2+1107048\theta+733353\right)+2^{32} x^{8}\left(9744\theta^4+100992\theta^3+412312\theta^2+779936\theta+572857\right)+2^{39} x^{9}\left(304\theta^4+3696\theta^3+17208\theta^2+36300\theta+29211\right)+2^{44} x^{10}\left((2\theta+7)^4\right)\)

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Coefficients of the holomorphic solution: 1, -124/3, 1220, -872528/27, 67351172/81, ...
--> OEIS
Normalized instanton numbers (n0=1): 28/3, -695/9, 83612/81, -4447894/243, 274874464/729, ... ; Common denominator:...

Discriminant

\((1+48z+256z^2)(32z+1)^2(16z+1)^2(32z+3)^2(64z+1)^2\)

Local exponents

\(-\frac{ 3}{ 32}-\frac{ 1}{ 32}\sqrt{ 5}\)\(-\frac{ 3}{ 32}\)\(-\frac{ 1}{ 16}\)\(-\frac{ 1}{ 32}\)\(-\frac{ 3}{ 32}+\frac{ 1}{ 32}\sqrt{ 5}\)\(-\frac{ 1}{ 64}\)\(0\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(\frac{ 7}{ 2}\)
\(1\)\(1\)\(0\)\(0\)\(1\)\(1\)\(0\)\(\frac{ 7}{ 2}\)
\(1\)\(-2\)\(1\)\(1\)\(1\)\(3\)\(0\)\(\frac{ 7}{ 2}\)
\(2\)\(3\)\(1\)\(1\)\(2\)\(4\)\(0\)\(\frac{ 7}{ 2}\)

Note:

This is operator "10.10" from ...

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