K13n1508
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Polynomial invariants
| Jones polynomial | Data:K13n1508/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+9 t^2-17 t+21-17 t^{-1} +9 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1508/Conway Polynomial |
| Determinant | 77 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -3 z^4 a^{-2} -2 z^4 a^{-4} +z^4 a^{-6} +z^4-3 z^2 a^{-2} +z^2 a^{-4} +z^2 a^{-6} +2 z^2- a^{-2} +2 a^{-4} - a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +4 z^{10} a^{-2} +9 z^{10} a^{-4} +5 z^{10} a^{-6} +3 z^9 a^{-1} -2 z^9 a^{-3} -z^9 a^{-5} +4 z^9 a^{-7} -18 z^8 a^{-2} -43 z^8 a^{-4} -23 z^8 a^{-6} +z^8 a^{-8} +z^8-15 z^7 a^{-1} -26 z^7 a^{-3} -30 z^7 a^{-5} -19 z^7 a^{-7} +19 z^6 a^{-2} +55 z^6 a^{-4} +27 z^6 a^{-6} -4 z^6 a^{-8} -5 z^6+22 z^5 a^{-1} +51 z^5 a^{-3} +54 z^5 a^{-5} +25 z^5 a^{-7} -2 z^4 a^{-2} -21 z^4 a^{-4} -8 z^4 a^{-6} +4 z^4 a^{-8} +7 z^4-13 z^3 a^{-1} -30 z^3 a^{-3} -27 z^3 a^{-5} -10 z^3 a^{-7} -5 z^2 a^{-2} -z^2 a^{-4} -z^2 a^{-6} -z^2 a^{-8} -4 z^2+2 z a^{-1} +5 z a^{-3} +3 z a^{-5} + a^{-2} +2 a^{-4} + a^{-6} +1 }[/math] |
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