K13n3795
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Polynomial invariants
| Jones polynomial | Data:K13n3795/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-18 t^2+32 t-35+32 t^{-1} -18 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3795/Conway Polynomial |
| Determinant | 143 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +z^6 a^{-4} +z^6-a^2 z^4+5 z^4 a^{-2} +2 z^4 a^{-4} -z^4 a^{-6} +z^4-a^2 z^2+2 z^2 a^{-2} -3 z^2 a^{-6} -2 z^2+a^2- a^{-6} + a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +9 z^{10} a^{-2} +4 z^{10} a^{-4} +5 z^{10}+6 a z^9+2 z^9 a^{-1} +4 z^9 a^{-5} +4 a^2 z^8-27 z^8 a^{-2} -8 z^8 a^{-4} +3 z^8 a^{-6} -12 z^8+a^3 z^7-19 a z^7-14 z^7 a^{-1} -5 z^7 a^{-5} +z^7 a^{-7} -14 a^2 z^6+36 z^6 a^{-2} +15 z^6 a^{-4} -3 z^6 a^{-6} +4 z^6-3 a^3 z^5+14 a z^5+5 z^5 a^{-1} -12 z^5 a^{-3} +3 z^5 a^{-5} +3 z^5 a^{-7} +13 a^2 z^4-32 z^4 a^{-2} -16 z^4 a^{-4} +5 z^4 a^{-6} +3 z^4 a^{-8} -z^4+2 a^3 z^3-a z^3+4 z^3 a^{-1} +19 z^3 a^{-3} +7 z^3 a^{-5} -5 z^3 a^{-7} -2 a^2 z^2+11 z^2 a^{-2} +9 z^2 a^{-4} -3 z^2 a^{-6} -5 z^2 a^{-8} +2 z^2-3 z a^{-1} -9 z a^{-3} -5 z a^{-5} +z a^{-7} -a^2+ a^{-6} + a^{-8} }[/math] |
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