K13n4020
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Polynomial invariants
| Jones polynomial | Data:K13n4020/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-19 t^2+29 t-31+29 t^{-1} -19 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4020/Conway Polynomial |
| Determinant | 143 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -4 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-4 z^4 a^{-2} +3 z^4 a^{-4} +5 z^4-a^2 z^2+z^2 a^{-2} +z^2 a^{-4} -z^2 a^{-6} +a^2+3 a^{-2} - a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +10 z^{10} a^{-2} +3 z^{10} a^{-4} +7 z^{10}+9 a z^9+9 z^9 a^{-1} +z^9 a^{-3} +z^9 a^{-5} +5 a^2 z^8-27 z^8 a^{-2} -8 z^8 a^{-4} -14 z^8+a^3 z^7-27 a z^7-42 z^7 a^{-1} -15 z^7 a^{-3} -z^7 a^{-5} -14 a^2 z^6+19 z^6 a^{-2} +14 z^6 a^{-4} +z^6 a^{-6} -8 z^6-2 a^3 z^5+17 a z^5+36 z^5 a^{-1} +27 z^5 a^{-3} +10 z^5 a^{-5} +9 a^2 z^4-7 z^4 a^{-2} -5 z^4 a^{-4} +5 z^4 a^{-6} +12 z^4+a^3 z^3-a z^3-10 z^3 a^{-1} -19 z^3 a^{-3} -9 z^3 a^{-5} +2 z^3 a^{-7} -a^2 z^2+7 z^2 a^{-2} -3 z^2 a^{-6} +3 z^2+2 z a^{-1} +4 z a^{-3} +2 z a^{-5} -a^2-3 a^{-2} - a^{-4} -2 }[/math] |
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