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You searched for: Spectrum0=0,0

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1

New Number: 2.1.1 |  AESZ:  |  Superseeker:  |  Hash: afb25986ad06deb7f2cd5a613921290b  

Degree:

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

Maple   LaTex

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

Discriminant

\(1-16z\)

Local exponents

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

Note:

A

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2

New Number: 2.1.2 |  AESZ:  |  Superseeker:  |  Hash: 6d5a0a3a16b12ddda4155de698e4c0ae  

Degree:

\(\theta^2-3 x(3\theta+1)(3\theta+2)\)

Maple   LaTex

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

Discriminant

\(1-27z\)

Local exponents

\(0\)\(\frac{ 1}{ 27}\)\(\infty\)
\(0\)\(0\)\(\frac{ 1}{ 3}\)
\(0\)\(0\)\(\frac{ 2}{ 3}\)
\(\)\(\)\(\)
\(\)\(\)\(\)

Note:

B

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3

New Number: 2.1.3 |  AESZ:  |  Superseeker:  |  Hash: aebad5f15a4fda46c0c5aaffdb939893  

Degree:

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

Maple   LaTex

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

Discriminant

\(1-64z\)

Local exponents

\(0\)\(\frac{ 1}{ 64}\)\(\infty\)
\(0\)\(0\)\(\frac{ 1}{ 4}\)
\(0\)\(0\)\(\frac{ 3}{ 4}\)
\(\)\(\)\(\)
\(\)\(\)\(\)

Note:

C

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4

New Number: 2.1.4 |  AESZ:  |  Superseeker:  |  Hash: cd33f52d9cc1d6af166b3ace0108dab4  

Degree:

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

Maple   LaTex

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

Discriminant

\(1-432z\)

Local exponents

\(0\)\(\frac{ 1}{ 432}\)\(\infty\)
\(0\)\(0\)\(\frac{ 1}{ 6}\)
\(0\)\(0\)\(\frac{ 5}{ 6}\)
\(\)\(\)\(\)
\(\)\(\)\(\)

Note:

D

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5

New Number: 2.2.10 |  AESZ:  |  Superseeker:  |  Hash: 20830513f269df77e72e87a41f1bc81b  

Degree:

\(\theta^2-2^{2} x\left(32\theta^2+32\theta+13\right)+2^{12} x^{2}\left((\theta+1)^2\right)\)

Maple   LaTex

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

Discriminant

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

Local exponents

\(0\)\(\frac{ 1}{ 64}\)\(\infty\)
\(0\)\(-\frac{ 3}{ 4}\)\(1\)
\(0\)\(-\frac{ 1}{ 4}\)\(1\)
\(\)\(\)\(\)
\(\)\(\)\(\)

Note:

Case "i".

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6

New Number: 2.2.11 |  AESZ:  |  Superseeker:  |  Hash: 6280d395b41716023a3bd07420bb9797  

Degree:

\(\theta^2-2^{2} 3 x\left(72\theta^2+72\theta+31\right)+2^{8} 3^{6} x^{2}\left((\theta+1)^2\right)\)

Maple   LaTex

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

Discriminant

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

Local exponents

\(0\)\(\frac{ 1}{ 432}\)\(\infty\)
\(0\)\(-\frac{ 5}{ 6}\)\(1\)
\(0\)\(-\frac{ 1}{ 6}\)\(1\)
\(\)\(\)\(\)
\(\)\(\)\(\)

Note:

Case "j".

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7

New Number: 2.2.12 |  AESZ:  |  Superseeker:  |  Hash: a3383ebd21d22a5085bcaf421f2e41f9  

Degree:

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

Maple   LaTex

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

Discriminant

\(-(9z-1)(9z+1)\)

Local exponents

\(-\frac{ 1}{ 9}\)\(0\)\(\frac{ 1}{ 9}\)\(\infty\)
\(0\)\(0\)\(-\frac{ 1}{ 3}\)\(1\)
\(\frac{ 1}{ 3}\)\(0\)\(0\)\(1\)
\(\)\(\)\(\)\(\)
\(\)\(\)\(\)\(\)

Note:

k

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8

New Number: 2.2.13 |  AESZ:  |  Superseeker:  |  Hash: 1a6068d2368f074fe8c4cd264f38a046  

Degree:

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

Maple   LaTex

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

Discriminant

\(-(8z-1)(8z+1)\)

Local exponents

\(-\frac{ 1}{ 8}\)\(0\)\(\frac{ 1}{ 8}\)\(\infty\)
\(0\)\(0\)\(-\frac{ 1}{ 2}\)\(1\)
\(\frac{ 1}{ 2}\)\(0\)\(0\)\(1\)
\(\)\(\)\(\)\(\)
\(\)\(\)\(\)\(\)

Note:

l

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9

New Number: 2.2.14 |  AESZ:  |  Superseeker:  |  Hash: 15b2da6e4ef891a31975c803f12d4d85  

Degree:

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

Maple   LaTex

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

Discriminant

\(-(36z-1)(36z+1)\)

Local exponents

\(-\frac{ 1}{ 36}\)\(0\)\(\frac{ 1}{ 36}\)\(\infty\)
\(0\)\(0\)\(-\frac{ 2}{ 3}\)\(1\)
\(\frac{ 2}{ 3}\)\(0\)\(0\)\(1\)
\(\)\(\)\(\)\(\)
\(\)\(\)\(\)\(\)

Note:

m

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10

New Number: 2.2.1 |  AESZ:  |  Superseeker:  |  Hash: e86cfa23c185bd22581a5d50f3a5236c  

Degree:

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

Maple   LaTex

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

Discriminant

\(1-9z+27z^2\)

Local exponents

\(0\)\(s_1\)\(s_2\)\(\infty\)
\(0\)\(0\)\(0\)\(1\)
\(0\)\(0\)\(0\)\(1\)
\(\)\(\)\(\)\(\)
\(\)\(\)\(\)\(\)

Note:

Case "f".

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11

New Number: 2.2.2 |  AESZ:  |  Superseeker:  |  Hash: 102fb29090f3b5861ce0800e22e5a4d1  

Degree:

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

Maple   LaTex

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

Discriminant

\(1-11z-z^2\)

Local exponents

\(0\)\(s_1\)\(s_2\)\(\infty\)
\(0\)\(0\)\(0\)\(1\)
\(0\)\(0\)\(0\)\(1\)
\(\)\(\)\(\)\(\)
\(\)\(\)\(\)\(\)

Note:

b

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12

New Number: 2.2.3 |  AESZ:  |  Superseeker:  |  Hash: 002b3dee829af68fd83711b0304ec8dc  

Degree:

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

Maple   LaTex

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

Discriminant

\((8z-1)(4z-1)\)

Local exponents

\(0\)\(\frac{ 1}{ 8}\)\(\frac{ 1}{ 4}\)\(\infty\)
\(0\)\(0\)\(0\)\(1\)
\(0\)\(0\)\(0\)\(1\)
\(\)\(\)\(\)\(\)
\(\)\(\)\(\)\(\)

Note:

d

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13

New Number: 2.2.4 |  AESZ:  |  Superseeker:  |  Hash: 6a44bd3b621fce378ef47ced6a085de0  

Degree:

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

Maple   LaTex

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

Discriminant

\(-(z+1)(8z-1)\)

Local exponents

\(-1\)\(0\)\(\frac{ 1}{ 8}\)\(\infty\)
\(0\)\(0\)\(0\)\(1\)
\(0\)\(0\)\(0\)\(1\)
\(\)\(\)\(\)\(\)
\(\)\(\)\(\)\(\)

Note:

a

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14

New Number: 2.2.5 |  AESZ:  |  Superseeker:  |  Hash: 25da8ed1c60cf9ab32c634993154096b  

Degree:

\(\theta^2-x\left(10\theta^2+10\theta+3\right)+3^{2} x^{2}\left((\theta+1)^2\right)\)

Maple   LaTex

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

Discriminant

\((9z-1)(z-1)\)

Local exponents

\(0\)\(\frac{ 1}{ 9}\)\(1\)\(\infty\)
\(0\)\(0\)\(0\)\(1\)
\(0\)\(0\)\(0\)\(1\)
\(\)\(\)\(\)\(\)
\(\)\(\)\(\)\(\)

Note:

c

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15

New Number: 2.2.6 |  AESZ:  |  Superseeker:  |  Hash: d7904b72e72aa813aa0991ac08b4b2d2  

Degree:

\(\theta^2-x\left(17\theta^2+17\theta+6\right)+2^{3} 3^{2} x^{2}\left((\theta+1)^2\right)\)

Maple   LaTex

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

Discriminant

\((9z-1)(8z-1)\)

Local exponents

\(0\)\(\frac{ 1}{ 9}\)\(\frac{ 1}{ 8}\)\(\infty\)
\(0\)\(0\)\(0\)\(1\)
\(0\)\(0\)\(0\)\(1\)
\(\)\(\)\(\)\(\)
\(\)\(\)\(\)\(\)

Note:

g

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16

New Number: 2.2.7 |  AESZ:  |  Superseeker:  |  Hash: c28d4a2d5fa41b1a905d4ca582d1e002  

Degree:

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

Maple   LaTex

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

Discriminant

\((z-1)^2\)

Local exponents

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

Note:

None

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17

New Number: 2.2.8 |  AESZ:  |  Superseeker:  |  Hash: fe02e53e78aac98359c71ff65443da78  

Degree:

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

Maple   LaTex

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

Discriminant

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

Local exponents

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

Note:

Case "e".

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18

New Number: 2.2.9 |  AESZ:  |  Superseeker:  |  Hash: 9dbf25a187c091e136840c970f39dd49  

Degree:

\(\theta^2-3 x\left(18\theta^2+18\theta+7\right)+3^{6} x^{2}\left((\theta+1)^2\right)\)

Maple   LaTex

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

Discriminant

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

Local exponents

\(0\)\(\frac{ 1}{ 27}\)\(\infty\)
\(0\)\(-\frac{ 2}{ 3}\)\(1\)
\(0\)\(-\frac{ 1}{ 3}\)\(1\)
\(\)\(\)\(\)
\(\)\(\)\(\)

Note:

Case "h".

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