K13n2693
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Polynomial invariants
| Jones polynomial | Data:K13n2693/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-17 t^2+30 t-35+30 t^{-1} -17 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2693/Conway Polynomial |
| Determinant | 143 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-10 z^4 a^{-2} +3 z^4 a^{-4} +7 z^4-2 a^2 z^2-9 z^2 a^{-2} +3 z^2 a^{-4} +8 z^2-a^2-3 a^{-2} + a^{-4} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +6 z^{10} a^{-2} +2 z^{10} a^{-4} +4 z^{10}+6 a z^9+11 z^9 a^{-1} +6 z^9 a^{-3} +z^9 a^{-5} +4 a^2 z^8-z^8 a^{-2} +3 z^8 a^{-4} +a^3 z^7-16 a z^7-35 z^7 a^{-1} -10 z^7 a^{-3} +8 z^7 a^{-5} -13 a^2 z^6-35 z^6 a^{-2} -6 z^6 a^{-4} +9 z^6 a^{-6} -33 z^6-3 a^3 z^5+6 a z^5+18 z^5 a^{-1} -6 z^5 a^{-3} -11 z^5 a^{-5} +4 z^5 a^{-7} +13 a^2 z^4+45 z^4 a^{-2} +5 z^4 a^{-4} -9 z^4 a^{-6} +z^4 a^{-8} +43 z^4+3 a^3 z^3+5 a z^3+8 z^3 a^{-1} +14 z^3 a^{-3} +6 z^3 a^{-5} -2 z^3 a^{-7} -6 a^2 z^2-19 z^2 a^{-2} -4 z^2 a^{-4} +2 z^2 a^{-6} -19 z^2-a^3 z-3 a z-5 z a^{-1} -5 z a^{-3} -2 z a^{-5} +a^2+3 a^{-2} + a^{-4} +4 }[/math] |
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