K13n2733
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Polynomial invariants
| Jones polynomial | Data:K13n2733/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^3+7 t^2-6 t+5-6 t^{-1} +7 t^{-2} -4 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2733/Conway Polynomial |
| Determinant | 41 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +6 z^6 a^{-2} -z^6 a^{-4} -z^6+12 z^4 a^{-2} -5 z^4 a^{-4} -4 z^4+11 z^2 a^{-2} -6 z^2 a^{-4} +z^2 a^{-6} -4 z^2+4 a^{-2} -2 a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +8 z^{10} a^{-2} +5 z^{10} a^{-4} +3 z^{10}+a z^9-8 z^9 a^{-1} -5 z^9 a^{-3} +4 z^9 a^{-5} -50 z^8 a^{-2} -30 z^8 a^{-4} +z^8 a^{-6} -19 z^8-6 a z^7-4 z^7 a^{-1} -23 z^7 a^{-3} -25 z^7 a^{-5} +96 z^6 a^{-2} +51 z^6 a^{-4} -6 z^6 a^{-6} +39 z^6+12 a z^5+38 z^5 a^{-1} +69 z^5 a^{-3} +43 z^5 a^{-5} -71 z^4 a^{-2} -35 z^4 a^{-4} +4 z^4 a^{-6} -32 z^4-10 a z^3-37 z^3 a^{-1} -54 z^3 a^{-3} -31 z^3 a^{-5} -4 z^3 a^{-7} +23 z^2 a^{-2} +13 z^2 a^{-4} -z^2 a^{-6} -z^2 a^{-8} +10 z^2+3 a z+10 z a^{-1} +14 z a^{-3} +8 z a^{-5} +z a^{-7} -4 a^{-2} -2 a^{-4} -1 }[/math] |
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