1
New Number: 3.1.1 | AESZ: | Superseeker: | Hash: 31acf361bebee650cbe6ec19f48bba9d
\(\theta^3-2^{3} 3 x(6\theta+5)(2\theta+1)(6\theta+1)\)
Maple LaTexCoefficients of the holomorphic solution: , ... --> OEIS Normalized instanton numbers (n0=1): , ... ; Common denominator:...
\(1-1728z\)
\(0\) | \(\frac{ 1}{ 1728}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 1}{ 6}\) |
\(0\) | \(\frac{ 1}{ 2}\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(\frac{ 5}{ 6}\) |
\(\) | \(\) | \(\) |
2
New Number: 3.1.2 | AESZ: | Superseeker: | Hash: 30e7d091f57f3cdaa7996f96f226df67
\(\theta^3-2^{3} x(4\theta+1)(2\theta+1)(4\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: , ... --> OEIS Normalized instanton numbers (n0=1): , ... ; Common denominator:...
\(1-256z\)
\(0\) | \(\infty\) | \(\frac{ 1}{ 256}\) |
---|---|---|
\(0\) | \(\frac{ 1}{ 4}\) | \(0\) |
\(0\) | \(\frac{ 1}{ 2}\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(\frac{ 3}{ 4}\) | \(1\) |
\(\) | \(\) | \(\) |
3
New Number: 3.2.2 | AESZ: | Superseeker: | Hash: 705aedd07e501ff2aea144d5c26c50fa
\(\theta^3-x(2\theta+1)(11\theta^2+11\theta+5)+5^{3} x^{2}\left((\theta+1)^3\right)\)
Maple LaTexCoefficients of the holomorphic solution: , ... --> OEIS Normalized instanton numbers (n0=1): , ... ; Common denominator:...
\(1-22z+125z^2\)
\(0\) | \(s_1\) | \(s_2\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(1\) |
\(0\) | \(\frac{ 1}{ 2}\) | \(\frac{ 1}{ 2}\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(\) | \(\) | \(\) | \(\) |
4
New Number: 3.2.1 | AESZ: | Superseeker: | Hash: 9186bb2eb69ac43cd8c158eda22933db
\(\theta^3-3 x(2\theta+1)(3\theta^2+3\theta+1)-3^{3} x^{2}\left((\theta+1)^3\right)\)
Maple LaTexCoefficients of the holomorphic solution: , ... --> OEIS Normalized instanton numbers (n0=1): , ... ; Common denominator:...
\(1-18z-27z^2\)
\(0\) | \(s_1\) | \(s_2\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(1\) |
\(0\) | \(\frac{ 1}{ 2}\) | \(\frac{ 1}{ 2}\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(\) | \(\) | \(\) | \(\) |
5
New Number: 3.2.3 | AESZ: | Superseeker: | Hash: 08d5c4b795dcba2e75ec97a85183eaf1
\(\theta^3-2^{2} x(2\theta+1)(3\theta^2+3\theta+1)+2^{4} x^{2}\left((\theta+1)^3\right)\)
Maple LaTexCoefficients of the holomorphic solution: , ... --> OEIS Normalized instanton numbers (n0=1): , ... ; Common denominator:...
\(1-24z+16z^2\)
\(0\) | \(s_1\) | \(s_2\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(1\) |
\(0\) | \(\frac{ 1}{ 2}\) | \(\frac{ 1}{ 2}\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(\) | \(\) | \(\) | \(\) |
6
New Number: 3.1.3 | AESZ: | Superseeker: | Hash: 534f489d40d8c0abbbc975d6bf414480
\(\theta^3-2 3 x(3\theta+2)(2\theta+1)(3\theta+1)\)
Maple LaTexCoefficients of the holomorphic solution: , ... --> OEIS Normalized instanton numbers (n0=1): , ... ; Common denominator:...
\(1-108z\)
\(0\) | \(\frac{ 1}{ 108}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
\(0\) | \(\frac{ 1}{ 2}\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(\frac{ 2}{ 3}\) |
\(\) | \(\) | \(\) |
7
New Number: 3.1.4 | AESZ: | Superseeker: | Hash: 0ea09490a9b355bb9c0dbd9fc85d10b1
\(\theta^3-2^{3} x\left((2\theta+1)^3\right)\)
Maple LaTexCoefficients of the holomorphic solution: , ... --> OEIS Normalized instanton numbers (n0=1): , ... ; Common denominator:...
\(1-64z\)
\(0\) | \(\infty\) | \(\frac{ 1}{ 64}\) |
---|---|---|
\(0\) | \(\frac{ 1}{ 2}\) | \(0\) |
\(0\) | \(\frac{ 1}{ 2}\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(\frac{ 1}{ 2}\) | \(1\) |
\(\) | \(\) | \(\) |
8
New Number: 3.2.12 | AESZ: | Superseeker: | Hash: 4c9d5ced5d0bd4994da62251213be600
\(\theta^3-2 x(2\theta+1)(3\theta^2+3\theta+1)-2^{2} x^{2}(4\theta+5)(4\theta+3)(\theta+1)\)
Maple LaTexCoefficients of the holomorphic solution: , ... --> OEIS Normalized instanton numbers (n0=1): , ... ; Common denominator:...
\(-(4z+1)(16z-1)\)
\(0\) | \(\infty\) | \(\frac{ 1}{ 16}\) | \(-\frac{ 1}{ 4}\) |
---|---|---|---|
\(0\) | \(\frac{ 3}{ 4}\) | \(0\) | \(0\) |
\(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(\frac{ 5}{ 4}\) | \(1\) | \(1\) |
\(\) | \(\) | \(\) | \(\) |
9
New Number: 3.2.13 | AESZ: | Superseeker: | Hash: 28f660387aee808cd7c7b7af80a7da69
\(\theta^3-x(2\theta+1)(13\theta^2+13\theta+4)-3 x^{2}(3\theta+2)(3\theta+4)(\theta+1)\)
Maple LaTexCoefficients of the holomorphic solution: , ... --> OEIS Normalized instanton numbers (n0=1): , ... ; Common denominator:...
\(-(z+1)(27z-1)\)
\(0\) | \(\frac{ 1}{ 27}\) | \(\infty\) | \(-1\) |
---|---|---|---|
\(0\) | \(0\) | \(\frac{ 2}{ 3}\) | \(0\) |
\(0\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(\frac{ 4}{ 3}\) | \(1\) |
\(\) | \(\) | \(\) | \(\) |
10
New Number: 3.2.16 | AESZ: | Superseeker: | Hash: b84ae0ed53f62f243b74840ba8ccff4e
\(\theta^3-2 x(2\theta+1)(11\theta^2+11\theta+3)-2^{2} x^{2}(2\theta+3)(2\theta+1)(\theta+1)\)
Maple LaTexCoefficients of the holomorphic solution: , ... --> OEIS Normalized instanton numbers (n0=1): , ... ; Common denominator:...
\(1-44z-16z^2\)
\(0\) | \(s_1\) | \(s_2\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(\frac{ 1}{ 2}\) | \(\frac{ 1}{ 2}\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
\(\) | \(\) | \(\) | \(\) |
11
New Number: 3.2.4 | AESZ: | Superseeker: | Hash: 372efeeaa62eb6e55239f731e7ac1642
\(\theta^3-x(2\theta+1)(7\theta^2+7\theta+3)+3^{4} x^{2}\left((\theta+1)^3\right)\)
Maple LaTexCoefficients of the holomorphic solution: , ... --> OEIS Normalized instanton numbers (n0=1): , ... ; Common denominator:...
\(1-14z+81z^2\)
\(0\) | \(s_1\) | \(s_2\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(1\) |
\(0\) | \(\frac{ 1}{ 2}\) | \(\frac{ 1}{ 2}\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(\) | \(\) | \(\) | \(\) |
12
New Number: 3.2.5 | AESZ: | Superseeker: | Hash: c99003e60b536d9d793b3569f517b1c8
\(\theta^3-2 x(2\theta+1)(5\theta^2+5\theta+2)+2^{6} x^{2}\left((\theta+1)^3\right)\)
Maple LaTexCoefficients of the holomorphic solution: , ... --> OEIS Normalized instanton numbers (n0=1): , ... ; Common denominator:...
\((16z-1)(4z-1)\)
\(0\) | \(\frac{ 1}{ 4}\) | \(\infty\) | \(\frac{ 1}{ 16}\) |
---|---|---|---|
\(0\) | \(0\) | \(1\) | \(0\) |
\(0\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(\) | \(\) | \(\) | \(\) |
13
New Number: 3.2.6 | AESZ: | Superseeker: | Hash: f29acfc249c8fdfff79fcf325768c5f6
\(\theta^3-x(2\theta+1)(17\theta^2+17\theta+5)+x^{2}\left((\theta+1)^3\right)\)
Maple LaTexCoefficients of the holomorphic solution: , ... --> OEIS Normalized instanton numbers (n0=1): , ... ; Common denominator:...
\(1-34z+z^2\)
\(0\) | \(s_1\) | \(s_2\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(1\) |
\(0\) | \(\frac{ 1}{ 2}\) | \(\frac{ 1}{ 2}\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(\) | \(\) | \(\) | \(\) |
14
New Number: 3.4.1 | AESZ: | Superseeker: | Hash: c059a405cf4b3046b11c01197518c49c
\(\theta^3-5 x(2\theta+1)(26\theta^2+26\theta+5)+x^{2}(\theta+1)(774\theta^2+1548\theta+823)-2 193 x^{3}(2\theta+3)(\theta+2)(\theta+1)+257 x^{4}(\theta+3)(\theta+2)(\theta+1)\)
Maple LaTexCoefficients of the holomorphic solution: , ... --> OEIS Normalized instanton numbers (n0=1): , ... ; Common denominator:...
\((257z-1)(z-1)^3\)
\(0\) | \(1\) | \(\infty\) | \(\frac{ 1}{ 257}\) |
---|---|---|---|
\(0\) | \(-\frac{ 3}{ 4}\) | \(1\) | \(0\) |
\(0\) | \(-\frac{ 1}{ 2}\) | \(2\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(-\frac{ 1}{ 4}\) | \(3\) | \(1\) |
\(\) | \(\) | \(\) | \(\) |
15
New Number: 3.4.2 | AESZ: | Superseeker: | Hash: 7ed881d5c6011878b75d16414ccae150
\(\theta^3-x(2\theta+1)(866\theta^2+866\theta+121)+x^{2}(\theta+1)(5190\theta^2+10380\theta+5431)-2 1297 x^{3}(2\theta+3)(\theta+2)(\theta+1)+7 13 19 x^{4}(\theta+3)(\theta+2)(\theta+1)\)
Maple LaTexCoefficients of the holomorphic solution: , ... --> OEIS Normalized instanton numbers (n0=1): , ... ; Common denominator:...
\((1729z-1)(z-1)^3\)
\(0\) | \(1\) | \(\infty\) | \(\frac{ 1}{ 1729}\) |
---|---|---|---|
\(0\) | \(-\frac{ 5}{ 6}\) | \(1\) | \(0\) |
\(0\) | \(-\frac{ 1}{ 2}\) | \(2\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(-\frac{ 1}{ 6}\) | \(3\) | \(1\) |
\(\) | \(\) | \(\) | \(\) |
16
New Number: 3.4.3 | AESZ: | Superseeker: | Hash: 8fae5b30dfb4b545adfd8cf16005fd33
\(\theta^3-x(2\theta+1)(56\theta^2+56\theta+13)+5 x^{2}(\theta+1)(66\theta^2+132\theta+71)-2^{2} 41 x^{3}(2\theta+3)(\theta+2)(\theta+1)+109 x^{4}(\theta+3)(\theta+2)(\theta+1)\)
Maple LaTexCoefficients of the holomorphic solution: , ... --> OEIS Normalized instanton numbers (n0=1): , ... ; Common denominator:...
\((109z-1)(z-1)^3\)
\(0\) | \(1\) | \(\infty\) | \(\frac{ 1}{ 109}\) |
---|---|---|---|
\(0\) | \(-\frac{ 2}{ 3}\) | \(1\) | \(0\) |
\(0\) | \(-\frac{ 1}{ 2}\) | \(2\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(-\frac{ 1}{ 3}\) | \(3\) | \(1\) |
\(\) | \(\) | \(\) | \(\) |
17
New Number: 3.4.4 | AESZ: | Superseeker: | Hash: 35a2fcb3c8a3c4d7ee29cbf9ba85f7ba
\(5^{4} \theta^3-2 5^{3} x(2\theta+1)(17\theta^2+17\theta+6)-2^{3} 5^{2} 7 x^{2}(\theta+1)(11\theta^2+22\theta+12)-2 3^{2} 5 7 x^{3}(2\theta+3)(\theta+2)(\theta+1)-2^{5} 47 x^{4}(\theta+3)(\theta+2)(\theta+1)\)
Maple LaTexCoefficients of the holomorphic solution: , ... --> OEIS Normalized instanton numbers (n0=1): , ... ; Common denominator:...
\(-(8z+5)(188z^3+40z^2+1900z-125)\)
\(0\) | \(s_1\) | \(s_3\) | \(s_2\) | \(\infty\) | \(-\frac{ 5}{ 8}\) |
---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(1\) | \(0\) |
\(0\) | \(\frac{ 1}{ 2}\) | \(\frac{ 1}{ 2}\) | \(\frac{ 1}{ 2}\) | \(2\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(1\) | \(1\) | \(3\) | \(1\) |
\(\) | \(\) | \(\) | \(\) | \(\) | \(\) |