K13n2363
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Polynomial invariants
| Jones polynomial | Data:K13n2363/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-12 t^2+23 t-27+23 t^{-1} -12 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2363/Conway Polynomial |
| Determinant | 103 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^6+a^6-3 z^4 a^4-8 z^2 a^4-5 a^4+2 z^6 a^2+8 z^4 a^2+12 z^2 a^2+7 a^2+z^6+2 z^4-z^2-2-z^4 a^{-2} -2 z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+5 a^2 z^{10}+3 z^{10}+2 a^5 z^9+2 a z^9+4 z^9 a^{-1} +a^6 z^8-5 a^4 z^8-18 a^2 z^8+3 z^8 a^{-2} -9 z^8-4 a^5 z^7-a^3 z^7-13 a z^7-15 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6+14 a^4 z^6+35 a^2 z^6-12 z^6 a^{-2} +10 z^6+4 a^7 z^5+10 a^5 z^5+2 a^3 z^5+17 a z^5+17 z^5 a^{-1} -4 z^5 a^{-3} +a^8 z^4-20 a^4 z^4-45 a^2 z^4+13 z^4 a^{-2} -13 z^4-5 a^7 z^3-7 a^5 z^3-4 a^3 z^3-15 a z^3-9 z^3 a^{-1} +4 z^3 a^{-3} -a^8 z^2+18 a^4 z^2+28 a^2 z^2-3 z^2 a^{-2} +8 z^2+2 a^5 z+4 a^3 z+4 a z+2 z a^{-1} -a^6-5 a^4-7 a^2-2 }[/math] |
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