K13n3424
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Polynomial invariants
| Jones polynomial | Data:K13n3424/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+10 t^2-24 t+33-24 t^{-1} +10 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3424/Conway Polynomial |
| Determinant | 105 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -2 z^4 a^{-2} -2 z^4 a^{-4} +z^4 a^{-6} +z^4-2 z^2 a^{-2} -z^2 a^{-4} +z^2 a^{-6} +a^2- a^{-2} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +5 z^{10} a^{-2} +10 z^{10} a^{-4} +5 z^{10} a^{-6} +5 z^9 a^{-1} +3 z^9 a^{-3} +2 z^9 a^{-5} +4 z^9 a^{-7} -16 z^8 a^{-2} -39 z^8 a^{-4} -20 z^8 a^{-6} +z^8 a^{-8} +2 z^8-20 z^7 a^{-1} -38 z^7 a^{-3} -36 z^7 a^{-5} -18 z^7 a^{-7} +6 z^6 a^{-2} +36 z^6 a^{-4} +19 z^6 a^{-6} -4 z^6 a^{-8} -7 z^6+a z^5+26 z^5 a^{-1} +54 z^5 a^{-3} +53 z^5 a^{-5} +24 z^5 a^{-7} +12 z^4 a^{-2} -4 z^4 a^{-4} -z^4 a^{-6} +5 z^4 a^{-8} +10 z^4-13 z^3 a^{-1} -27 z^3 a^{-3} -24 z^3 a^{-5} -10 z^3 a^{-7} +a^2 z^2-9 z^2 a^{-2} -6 z^2 a^{-4} -3 z^2 a^{-6} -2 z^2 a^{-8} -3 z^2+3 z a^{-1} +5 z a^{-3} +3 z a^{-5} +z a^{-7} -a^2+ a^{-2} + a^{-4} }[/math] |
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