K13n4004
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Polynomial invariants
| Jones polynomial | Data:K13n4004/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3-3 t^2-t+5- t^{-1} -3 t^{-2} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4004/Conway Polynomial |
| Determinant | 7 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6-6 z^6+4 a^2 z^4+z^4 a^{-2} +z^4 a^{-4} -11 z^4+4 a^2 z^2+2 z^2 a^{-2} +z^2 a^{-4} -9 z^2+2 a^2+2 a^{-2} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+z^{10} a^{-2} +4 z^{10}+3 a^3 z^9-2 a z^9-4 z^9 a^{-1} +z^9 a^{-3} +a^4 z^8-16 a^2 z^8-6 z^8 a^{-2} +3 z^8 a^{-4} -26 z^8-16 a^3 z^7-15 a z^7-7 z^7 a^{-1} -5 z^7 a^{-3} +3 z^7 a^{-5} -5 a^4 z^6+21 a^2 z^6+5 z^6 a^{-2} -13 z^6 a^{-4} +z^6 a^{-6} +45 z^6+23 a^3 z^5+35 a z^5+26 z^5 a^{-1} +3 z^5 a^{-3} -11 z^5 a^{-5} +7 a^4 z^4-9 a^2 z^4-z^4 a^{-2} +10 z^4 a^{-4} -3 z^4 a^{-6} -30 z^4-11 a^3 z^3-21 a z^3-19 z^3 a^{-1} -3 z^3 a^{-3} +6 z^3 a^{-5} -3 a^4 z^2+4 a^2 z^2+3 z^2 a^{-2} -2 z^2 a^{-4} +z^2 a^{-6} +13 z^2+2 a^3 z+4 a z+4 z a^{-1} +2 z a^{-3} -2 a^2-2 a^{-2} -3 }[/math] |
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