K13n420
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Polynomial invariants
| Jones polynomial | Data:K13n420/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-5 t^2+7 t-5+7 t^{-1} -5 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n420/Conway Polynomial |
| Determinant | 31 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-2 a^2 z^4-z^4 a^{-2} +4 z^4+a^4 z^2-6 a^2 z^2-3 z^2 a^{-2} +4 z^2+2 a^4-3 a^2- a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+2 z^{10} a^{-2} +4 z^{10}+2 a^3 z^9-2 a z^9-3 z^9 a^{-1} +z^9 a^{-3} +a^4 z^8-9 a^2 z^8-12 z^8 a^{-2} -22 z^8-11 a^3 z^7-11 a z^7-6 z^7 a^{-1} -6 z^7 a^{-3} -6 a^4 z^6+5 a^2 z^6+20 z^6 a^{-2} +31 z^6+17 a^3 z^5+23 a z^5+14 z^5 a^{-1} +8 z^5 a^{-3} +11 a^4 z^4+11 a^2 z^4-14 z^4 a^{-2} -2 z^4 a^{-4} -12 z^4-10 a^3 z^3-10 a z^3-3 z^3 a^{-1} -4 z^3 a^{-3} -z^3 a^{-5} -8 a^4 z^2-12 a^2 z^2+3 z^2 a^{-2} -z^2+2 a^3 z-2 z a^{-1} +2 a^4+3 a^2+ a^{-2} + a^{-4} +2 }[/math] |
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