K13n3865
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Polynomial invariants
| Jones polynomial | Data:K13n3865/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^2-6 t+9-6 t^{-1} +2 t^{-2} }[/math] |
| Conway polynomial | Data:K13n3865/Conway Polynomial |
| Determinant | 25 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6-z^6 a^{-2} -a^4 z^4+5 a^2 z^4-4 z^4 a^{-2} +z^4 a^{-4} +z^4-3 a^4 z^2+7 a^2 z^2-6 z^2 a^{-2} +2 z^2 a^{-4} +2 z^2-2 a^4+3 a^2-3 a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+3 a^2 z^{10}+z^{10} a^{-2} +2 z^{10}+a^5 z^9-5 a^3 z^9-6 a z^9+3 z^9 a^{-1} +3 z^9 a^{-3} -14 a^4 z^8-23 a^2 z^8-z^8 a^{-2} +4 z^8 a^{-4} -14 z^8-7 a^5 z^7+3 a z^7-17 z^7 a^{-1} -10 z^7 a^{-3} +3 z^7 a^{-5} +31 a^4 z^6+51 a^2 z^6-12 z^6 a^{-2} -14 z^6 a^{-4} +z^6 a^{-6} +23 z^6+16 a^5 z^5+21 a^3 z^5+15 a z^5+23 z^5 a^{-1} +3 z^5 a^{-3} -10 z^5 a^{-5} -27 a^4 z^4-43 a^2 z^4+23 z^4 a^{-2} +10 z^4 a^{-4} -3 z^4 a^{-6} -6 z^4-14 a^5 z^3-24 a^3 z^3-14 a z^3-3 z^3 a^{-1} +7 z^3 a^{-3} +6 z^3 a^{-5} +10 a^4 z^2+15 a^2 z^2-13 z^2 a^{-2} -4 z^2 a^{-4} +z^2 a^{-6} -3 z^2+4 a^5 z+7 a^3 z+3 a z-3 z a^{-1} -5 z a^{-3} -2 z a^{-5} -2 a^4-3 a^2+3 a^{-2} + a^{-4} +2 }[/math] |
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