K13n2172
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Polynomial invariants
| Jones polynomial | Data:K13n2172/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+11 t^2-18 t+21-18 t^{-1} +11 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2172/Conway Polynomial |
| Determinant | 85 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -2 z^6 a^{-4} -2 z^4 a^{-2} -8 z^4 a^{-4} +2 z^4 a^{-6} +z^4+z^2 a^{-2} -10 z^2 a^{-4} +6 z^2 a^{-6} +2 z^2+2 a^{-2} -5 a^{-4} +4 a^{-6} - a^{-8} +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} -17 z^8 a^{-2} -43 z^8 a^{-4} -24 z^8 a^{-6} +z^8 a^{-8} +z^8-14 z^7 a^{-1} -22 z^7 a^{-3} -28 z^7 a^{-5} -20 z^7 a^{-7} +18 z^6 a^{-2} +66 z^6 a^{-4} +39 z^6 a^{-6} -4 z^6 a^{-8} -5 z^6+19 z^5 a^{-1} +42 z^5 a^{-3} +58 z^5 a^{-5} +35 z^5 a^{-7} -6 z^4 a^{-2} -53 z^4 a^{-4} -34 z^4 a^{-6} +5 z^4 a^{-8} +8 z^4-9 z^3 a^{-1} -27 z^3 a^{-3} -45 z^3 a^{-5} -27 z^3 a^{-7} +4 z^2 a^{-2} +25 z^2 a^{-4} +17 z^2 a^{-6} +z^2 a^{-8} -5 z^2+2 z a^{-1} +7 z a^{-3} +11 z a^{-5} +8 z a^{-7} +2 z a^{-9} -2 a^{-2} -5 a^{-4} -4 a^{-6} - a^{-8} +1 }[/math] |
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