Summary

You searched for: Spectrum0=1,1,1

Your search produced 11 matches

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1

New Number: 3.2.2 |  AESZ:  |  Superseeker:  |  Hash: 705aedd07e501ff2aea144d5c26c50fa  

Degree:

\(\theta^3-x(2\theta+1)(11\theta^2+11\theta+5)+5^{3} x^{2}\left((\theta+1)^3\right)\)

Maple   LaTex

Coefficients of the holomorphic solution: , ...
--> OEIS
Normalized instanton numbers (n0=1): , ... ; Common denominator:...

Discriminant

\(1-22z+125z^2\)

Local exponents

\(0\)\(s_1\)\(s_2\)\(\infty\)
\(0\)\(0\)\(0\)\(1\)
\(0\)\(\frac{ 1}{ 2}\)\(\frac{ 1}{ 2}\)\(1\)
\(0\)\(1\)\(1\)\(1\)
\(\)\(\)\(\)\(\)

Note:

eta

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2

New Number: 3.2.1 |  AESZ:  |  Superseeker:  |  Hash: 9186bb2eb69ac43cd8c158eda22933db  

Degree:

\(\theta^3-3 x(2\theta+1)(3\theta^2+3\theta+1)-3^{3} x^{2}\left((\theta+1)^3\right)\)

Maple   LaTex

Coefficients of the holomorphic solution: , ...
--> OEIS
Normalized instanton numbers (n0=1): , ... ; Common denominator:...

Discriminant

\(1-18z-27z^2\)

Local exponents

\(0\)\(s_1\)\(s_2\)\(\infty\)
\(0\)\(0\)\(0\)\(1\)
\(0\)\(\frac{ 1}{ 2}\)\(\frac{ 1}{ 2}\)\(1\)
\(0\)\(1\)\(1\)\(1\)
\(\)\(\)\(\)\(\)

Note:

zeta,Golyshev[9]

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3

New Number: 3.2.3 |  AESZ:  |  Superseeker:  |  Hash: 08d5c4b795dcba2e75ec97a85183eaf1  

Degree:

\(\theta^3-2^{2} x(2\theta+1)(3\theta^2+3\theta+1)+2^{4} x^{2}\left((\theta+1)^3\right)\)

Maple   LaTex

Coefficients of the holomorphic solution: , ...
--> OEIS
Normalized instanton numbers (n0=1): , ... ; Common denominator:...

Discriminant

\(1-24z+16z^2\)

Local exponents

\(0\)\(s_1\)\(s_2\)\(\infty\)
\(0\)\(0\)\(0\)\(1\)
\(0\)\(\frac{ 1}{ 2}\)\(\frac{ 1}{ 2}\)\(1\)
\(0\)\(1\)\(1\)\(1\)
\(\)\(\)\(\)\(\)

Note:

eps,Golyshev[8]

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4

New Number: 3.2.10 |  AESZ:  |  Superseeker:  |  Hash: 041052bdb1f2151f32d511977be338d7  

Degree:

\(\theta^3-2^{3} x(2\theta+1)(8\theta^2+8\theta+5)+2^{12} x^{2}\left((\theta+1)^3\right)\)

Maple   LaTex

Coefficients of the holomorphic solution: , ...
--> OEIS
Normalized instanton numbers (n0=1): , ... ; Common denominator:...

Discriminant

\((64z-1)^2\)

Local exponents

\(0\)\(\frac{ 1}{ 64}\)\(\infty\)
\(0\)\(-\frac{ 1}{ 2}\)\(1\)
\(0\)\(0\)\(1\)
\(0\)\(\frac{ 1}{ 2}\)\(1\)
\(\)\(\)\(\)

Note:

theta

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5

New Number: 3.2.11 |  AESZ:  |  Superseeker:  |  Hash: 6c77e2618da2044285c8d41bc2985334  

Degree:

\(\theta^3-2^{3} 3 x(2\theta+1)(18\theta^2+18\theta+13)+2^{8} 3^{6} x^{2}\left((\theta+1)^3\right)\)

Maple   LaTex

Coefficients of the holomorphic solution: , ...
--> OEIS
Normalized instanton numbers (n0=1): , ... ; Common denominator:...

Discriminant

\((432z-1)^2\)

Local exponents

\(0\)\(\frac{ 1}{ 432}\)\(\infty\)
\(0\)\(-\frac{ 2}{ 3}\)\(1\)
\(0\)\(0\)\(1\)
\(0\)\(\frac{ 2}{ 3}\)\(1\)
\(\)\(\)\(\)

Note:

kappa

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6

New Number: 3.2.4 |  AESZ:  |  Superseeker:  |  Hash: 372efeeaa62eb6e55239f731e7ac1642  

Degree:

\(\theta^3-x(2\theta+1)(7\theta^2+7\theta+3)+3^{4} x^{2}\left((\theta+1)^3\right)\)

Maple   LaTex

Coefficients of the holomorphic solution: , ...
--> OEIS
Normalized instanton numbers (n0=1): , ... ; Common denominator:...

Discriminant

\(1-14z+81z^2\)

Local exponents

\(0\)\(s_1\)\(s_2\)\(\infty\)
\(0\)\(0\)\(0\)\(1\)
\(0\)\(\frac{ 1}{ 2}\)\(\frac{ 1}{ 2}\)\(1\)
\(0\)\(1\)\(1\)\(1\)
\(\)\(\)\(\)\(\)

Note:

delta

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7

New Number: 3.2.5 |  AESZ:  |  Superseeker:  |  Hash: c99003e60b536d9d793b3569f517b1c8  

Degree:

\(\theta^3-2 x(2\theta+1)(5\theta^2+5\theta+2)+2^{6} x^{2}\left((\theta+1)^3\right)\)

Maple   LaTex

Coefficients of the holomorphic solution: , ...
--> OEIS
Normalized instanton numbers (n0=1): , ... ; Common denominator:...

Discriminant

\((16z-1)(4z-1)\)

Local exponents

\(0\)\(\frac{ 1}{ 16}\)\(\frac{ 1}{ 4}\)\(\infty\)
\(0\)\(0\)\(0\)\(1\)
\(0\)\(\frac{ 1}{ 2}\)\(\frac{ 1}{ 2}\)\(1\)
\(0\)\(1\)\(1\)\(1\)
\(\)\(\)\(\)\(\)

Note:

alpha

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8

New Number: 3.2.6 |  AESZ:  |  Superseeker:  |  Hash: f29acfc249c8fdfff79fcf325768c5f6  

Degree:

\(\theta^3-x(2\theta+1)(17\theta^2+17\theta+5)+x^{2}\left((\theta+1)^3\right)\)

Maple   LaTex

Coefficients of the holomorphic solution: , ...
--> OEIS
Normalized instanton numbers (n0=1): , ... ; Common denominator:...

Discriminant

\(1-34z+z^2\)

Local exponents

\(0\)\(s_1\)\(s_2\)\(\infty\)
\(0\)\(0\)\(0\)\(1\)
\(0\)\(\frac{ 1}{ 2}\)\(\frac{ 1}{ 2}\)\(1\)
\(0\)\(1\)\(1\)\(1\)
\(\)\(\)\(\)\(\)

Note:

gamma,Golyshev[6]

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9

New Number: 3.2.7 |  AESZ:  |  Superseeker:  |  Hash: 394403f788214a88abe6c8bcd75a72c1  

Degree:

\(\theta^3-x(2\theta+1)(\theta^2+\theta+1)+x^{2}\left((\theta+1)^3\right)\)

Maple   LaTex

Coefficients of the holomorphic solution: , ...
--> OEIS
Normalized instanton numbers (n0=1): , ... ; Common denominator:...

Discriminant

\((z-1)^2\)

Local exponents

\(0\)\(1\)\(\infty\)
\(0\)\(-1\)\(1\)
\(0\)\(0\)\(1\)
\(0\)\(1\)\(1\)
\(\)\(\)\(\)

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10

New Number: 3.2.8 |  AESZ:  |  Superseeker:  |  Hash: f30e1d0e1c8ef5eb6603f4e666a2f217  

Degree:

\(\theta^3-2^{3} x(2\theta+1)(2\theta^2+2\theta+1)+2^{8} x^{2}\left((\theta+1)^3\right)\)

Maple   LaTex

Coefficients of the holomorphic solution: , ...
--> OEIS
Normalized instanton numbers (n0=1): , ... ; Common denominator:...

Discriminant

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

Local exponents

\(0\)\(\frac{ 1}{ 16}\)\(\infty\)
\(0\)\(0\)\(1\)
\(0\)\(0\)\(1\)
\(0\)\(0\)\(1\)
\(\)\(\)\(\)

Note:

beta

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11

New Number: 3.2.9 |  AESZ:  |  Superseeker:  |  Hash: 274a7c771525bd4d7af4c2a7570a2581  

Degree:

\(\theta^3-3 x(2\theta+1)(9\theta^2+9\theta+5)+3^{6} x^{2}\left((\theta+1)^3\right)\)

Maple   LaTex

Coefficients of the holomorphic solution: , ...
--> OEIS
Normalized instanton numbers (n0=1): , ... ; Common denominator:...

Discriminant

\((27z-1)^2\)

Local exponents

\(0\)\(\frac{ 1}{ 27}\)\(\infty\)
\(0\)\(-\frac{ 1}{ 3}\)\(1\)
\(0\)\(0\)\(1\)
\(0\)\(\frac{ 1}{ 3}\)\(1\)
\(\)\(\)\(\)

Note:

iota

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