K13n2131
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Polynomial invariants
| Jones polynomial | Data:K13n2131/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+10 t^2-19 t+23-19 t^{-1} +10 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2131/Conway Polynomial |
| Determinant | 85 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -3 z^4 a^{-2} -2 z^4 a^{-4} +2 z^4 a^{-6} +z^4-3 z^2 a^{-2} +5 z^2 a^{-6} -z^2 a^{-8} +2 z^2- a^{-2} +3 a^{-6} -2 a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +6 z^{10} a^{-4} +3 z^{10} a^{-6} +3 z^9 a^{-1} +4 z^9 a^{-3} +4 z^9 a^{-5} +3 z^9 a^{-7} -11 z^8 a^{-2} -22 z^8 a^{-4} -9 z^8 a^{-6} +z^8 a^{-8} +z^8-15 z^7 a^{-1} -34 z^7 a^{-3} -29 z^7 a^{-5} -10 z^7 a^{-7} +4 z^6 a^{-2} +14 z^6 a^{-4} +6 z^6 a^{-6} +z^6 a^{-8} -5 z^6+23 z^5 a^{-1} +51 z^5 a^{-3} +38 z^5 a^{-5} +14 z^5 a^{-7} +4 z^5 a^{-9} +13 z^4 a^{-2} +7 z^4 a^{-4} -5 z^4 a^{-6} -5 z^4 a^{-8} +2 z^4 a^{-10} +8 z^4-13 z^3 a^{-1} -25 z^3 a^{-3} -18 z^3 a^{-5} -12 z^3 a^{-7} -5 z^3 a^{-9} +z^3 a^{-11} -10 z^2 a^{-2} -5 z^2 a^{-4} +7 z^2 a^{-6} +6 z^2 a^{-8} -z^2 a^{-10} -5 z^2+2 z a^{-1} +4 z a^{-3} +3 z a^{-5} +4 z a^{-7} +2 z a^{-9} -z a^{-11} + a^{-2} -3 a^{-6} -2 a^{-8} +1 }[/math] |
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