K13n3731
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Polynomial invariants
| Jones polynomial | Data:K13n3731/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 5 t^2-23 t+37-23 t^{-1} +5 t^{-2} }[/math] |
| Conway polynomial | Data:K13n3731/Conway Polynomial |
| Determinant | 93 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^4 a^{-2} +2 z^4 a^{-4} +z^4-a^2 z^2+2 z^2 a^{-4} -3 z^2 a^{-6} -z^2+a^2- a^{-2} +2 a^{-4} -2 a^{-6} + a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +5 z^{10} a^{-4} +3 z^{10} a^{-6} +2 z^9 a^{-1} +2 z^9 a^{-3} +3 z^9 a^{-5} +3 z^9 a^{-7} -z^8 a^{-2} -15 z^8 a^{-4} -11 z^8 a^{-6} +z^8 a^{-8} +2 z^8+a z^7+z^7 a^{-1} -12 z^7 a^{-3} -27 z^7 a^{-5} -15 z^7 a^{-7} -7 z^6 a^{-2} +3 z^6 a^{-4} +4 z^6 a^{-6} -5 z^6 a^{-8} -z^6+2 a z^5-9 z^5 a^{-1} +5 z^5 a^{-3} +39 z^5 a^{-5} +23 z^5 a^{-7} +4 a^2 z^4+4 z^4 a^{-2} +13 z^4 a^{-4} +15 z^4 a^{-6} +8 z^4 a^{-8} +2 z^4+a^3 z^3+5 z^3 a^{-1} +2 z^3 a^{-3} -16 z^3 a^{-5} -12 z^3 a^{-7} -2 a^2 z^2-3 z^2 a^{-2} -9 z^2 a^{-4} -11 z^2 a^{-6} -5 z^2 a^{-8} -2 z^2-z a^{-3} +z a^{-5} +2 z a^{-7} -a^2+ a^{-2} +2 a^{-4} +2 a^{-6} + a^{-8} }[/math] |
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