K13n3194
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Polynomial invariants
| Jones polynomial | Data:K13n3194/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+24 t^2-49 t+63-49 t^{-1} +24 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3194/Conway Polynomial |
| Determinant | 225 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-2 a^2 z^6-z^6 a^{-2} +4 z^6+a^4 z^4-5 a^2 z^4-z^4 a^{-2} +7 z^4+a^4 z^2-4 a^2 z^2-z^2 a^{-4} +4 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +8 a^2 z^{10}+5 z^{10} a^{-2} +13 z^{10}+13 a^3 z^9+23 a z^9+14 z^9 a^{-1} +4 z^9 a^{-3} +11 a^4 z^8+6 a^2 z^8+z^8 a^{-2} +z^8 a^{-4} -5 z^8+5 a^5 z^7-20 a^3 z^7-52 a z^7-24 z^7 a^{-1} +3 z^7 a^{-3} +a^6 z^6-21 a^4 z^6-43 a^2 z^6-5 z^6 a^{-2} +8 z^6 a^{-4} -34 z^6-8 a^5 z^5+3 a^3 z^5+27 a z^5+3 z^5 a^{-1} -10 z^5 a^{-3} +3 z^5 a^{-5} -a^6 z^4+12 a^4 z^4+39 a^2 z^4-13 z^4 a^{-4} +39 z^4+3 a^5 z^3+3 a^3 z^3+3 a z^3+11 z^3 a^{-1} +5 z^3 a^{-3} -3 z^3 a^{-5} -3 a^4 z^2-12 a^2 z^2+3 z^2 a^{-4} -12 z^2-a^3 z-3 a z-3 z a^{-1} -z a^{-3} +1 }[/math] |
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