K13n3851
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Polynomial invariants
| Jones polynomial | Data:K13n3851/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+3 t^2-7 t+11-7 t^{-1} +3 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3851/Conway Polynomial |
| Determinant | 33 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -a^2 z^4-4 z^4 a^{-2} +z^4 a^{-4} +z^4+a^4 z^2-4 a^2 z^2-5 z^2 a^{-2} +2 z^2 a^{-4} +2 z^2+2 a^4-3 a^2- a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^9+z^9 a^{-1} +2 z^9 a^{-3} +a^4 z^8+a^2 z^8+5 z^8 a^{-2} +4 z^8 a^{-4} +z^8-7 a^3 z^7-2 a z^7-3 z^7 a^{-1} -5 z^7 a^{-3} +3 z^7 a^{-5} -7 a^4 z^6-10 a^2 z^6-21 z^6 a^{-2} -15 z^6 a^{-4} +z^6 a^{-6} -8 z^6+14 a^3 z^5+6 a z^5-2 z^5 a^{-3} -10 z^5 a^{-5} +15 a^4 z^4+24 a^2 z^4+27 z^4 a^{-2} +14 z^4 a^{-4} -3 z^4 a^{-6} +19 z^4-10 a^3 z^3-4 a z^3+6 z^3 a^{-1} +6 z^3 a^{-3} +6 z^3 a^{-5} -11 a^4 z^2-18 a^2 z^2-12 z^2 a^{-2} -6 z^2 a^{-4} +z^2 a^{-6} -12 z^2+3 a^3 z+2 a z-2 z a^{-1} -2 z a^{-3} -z a^{-5} +2 a^4+3 a^2+ a^{-2} + a^{-4} +2 }[/math] |
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