Summary

You searched for: inst=17/3

Your search produced 2 matches

You can download all data as plain text or as JSON

1

New Number: 11.9 |  AESZ:  |  Superseeker: 17/3 4127/9  |  Hash: fa7c260e6f07cef5d727e6af380a6373  

Degree: 11

\(3^{2} \theta^4-3 x\theta(20\theta^3+196\theta^2+125\theta+27)-x^{2}\left(19127\theta^4+69044\theta^3+89705\theta^2+54504\theta+13248\right)-2 x^{3}\left(285799\theta^4+1251420\theta^3+2142633\theta^2+1678248\theta+511560\right)-2^{2} x^{4}\left(2058125\theta^4+11190220\theta^3+23374875\theta^2+21658060\theta+7556504\right)-2^{3} x^{5}\left(8570685\theta^4+57030456\theta^3+140934413\theta^2+149627146\theta+57858760\right)-2^{6} x^{6}\left(5382486\theta^4+43183593\theta^3+124360784\theta^2+148979343\theta+62839586\right)-2^{7} x^{7}\left(7897671\theta^4+75745098\theta^3+252663545\theta^2+339244430\theta+154810568\right)-2^{10} x^{8}(\theta+1)(1454893\theta^3+15409953\theta^2+50286726\theta+48898444)-2^{11} x^{9}(\theta+1)(\theta+2)(227963\theta^2+3375435\theta+10342960)+2^{14} x^{10}(\theta+3)(\theta+2)(\theta+1)(48476\theta+271867)-2^{15} 3 5 13 23 x^{11}(\theta+1)(\theta+2)(\theta+3)(\theta+4)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 0, 92, 2328, 91212, ...
--> OEIS
Normalized instanton numbers (n0=1): 17/3, 257/6, 4127/9, 23827/3, 496999/3, ... ; Common denominator:...

Discriminant

\(-(5z+1)(13z+1)(6z+1)(368z^2+56z-1)(4z+1)^2(8z^2-26z-3)^2\)

Local exponents

\(-\frac{ 1}{ 4}\)\(-\frac{ 1}{ 5}\)\(-\frac{ 7}{ 92}-\frac{ 3}{ 46}\sqrt{ 2}\)\(-\frac{ 1}{ 6}\)\(\frac{ 13}{ 8}-\frac{ 1}{ 8}\sqrt{ 193}\)\(-\frac{ 1}{ 13}\)\(0\)\(-\frac{ 7}{ 92}+\frac{ 3}{ 46}\sqrt{ 2}\)\(\frac{ 13}{ 8}+\frac{ 1}{ 8}\sqrt{ 193}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(1\)
\(0\)\(1\)\(1\)\(1\)\(1\)\(1\)\(0\)\(1\)\(1\)\(2\)
\(1\)\(1\)\(1\)\(1\)\(3\)\(1\)\(0\)\(1\)\(3\)\(3\)
\(1\)\(2\)\(2\)\(2\)\(4\)\(2\)\(0\)\(2\)\(4\)\(4\)

Note:

This is operator "11.9" from ...

Show more...  or download as   plain text  |  PDF  |  Maple  |  LaTex  

2

New Number: 9.5 |  AESZ:  |  Superseeker: 17/3 4127/9  |  Hash: 98a7e046a956f1c9ec13973072ab8283  

Degree: 9

\(3^{2} \theta^4-3 x\left(152\theta^4+316\theta^3+245\theta^2+87\theta+12\right)-x^{2}\left(5808+25608\theta+43193\theta^2+31076\theta^3+8807\theta^4\right)-2 x^{3}\left(10633\theta^4+106320\theta^3+235087\theta^2+185292\theta+52896\right)+2^{2} x^{4}\left(65651\theta^4+19144\theta^3-434467\theta^2-508704\theta-175376\right)+2^{3} x^{5}\left(151497\theta^4+645060\theta^3+272053\theta^2-269230\theta-183720\right)-2^{8} x^{6}\left(3386\theta^4-52470\theta^3-83275\theta^2-46299\theta-7926\right)-2^{10} x^{7}\left(11425\theta^4+14072\theta^3-3794\theta^2-13632\theta-5575\right)-2^{15} x^{8}(590\theta^2+1126\theta+597)(\theta+1)^2-2^{20} 3^{2} x^{9}(\theta+1)^2(\theta+2)^2\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 4, 108, 3496, 137548, ...
--> OEIS
Normalized instanton numbers (n0=1): 17/3, 257/6, 4127/9, 23827/3, 496999/3, ... ; Common denominator:...

Discriminant

\(-(9z+1)(2z+1)(z+1)(128z^2+64z-1)(-3-2z+64z^2)^2\)

Local exponents

\(-1\)\(-\frac{ 1}{ 4}-\frac{ 3}{ 16}\sqrt{ 2}\)\(-\frac{ 1}{ 2}\)\(\frac{ 1}{ 64}-\frac{ 1}{ 64}\sqrt{ 193}\)\(-\frac{ 1}{ 9}\)\(0\)\(-\frac{ 1}{ 4}+\frac{ 3}{ 16}\sqrt{ 2}\)\(\frac{ 1}{ 64}+\frac{ 1}{ 64}\sqrt{ 193}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(1\)
\(1\)\(1\)\(1\)\(1\)\(1\)\(0\)\(1\)\(1\)\(1\)
\(1\)\(1\)\(1\)\(3\)\(1\)\(0\)\(1\)\(3\)\(2\)
\(2\)\(2\)\(2\)\(4\)\(2\)\(0\)\(2\)\(4\)\(2\)

Note:

This is operator "9.5" from ...

Show more...  or download as   plain text  |  PDF  |  Maple  |  LaTex