K13n4002
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Polynomial invariants
| Jones polynomial | Data:K13n4002/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^3+8 t^2-10 t+11-10 t^{-1} +8 t^{-2} -4 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4002/Conway Polynomial |
| Determinant | 57 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +5 z^6 a^{-2} -z^6 a^{-4} -a^2 z^4+7 z^4 a^{-2} -3 z^4 a^{-4} +z^4-2 a^2 z^2+3 z^2 a^{-2} -2 z^2 a^{-4} +3 z^2-a^2+ a^{-2} - a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +5 z^{10} a^{-2} +4 z^{10} a^{-4} +z^{10}+a z^9-3 z^9 a^{-1} +2 z^9 a^{-3} +6 z^9 a^{-5} +2 a^2 z^8-26 z^8 a^{-2} -14 z^8 a^{-4} +4 z^8 a^{-6} -6 z^8+a^3 z^7-7 a z^7-8 z^7 a^{-1} -24 z^7 a^{-3} -23 z^7 a^{-5} +z^7 a^{-7} -12 a^2 z^6+37 z^6 a^{-2} +9 z^6 a^{-4} -14 z^6 a^{-6} +2 z^6-5 a^3 z^5+5 a z^5+20 z^5 a^{-1} +33 z^5 a^{-3} +20 z^5 a^{-5} -3 z^5 a^{-7} +15 a^2 z^4-17 z^4 a^{-2} -5 z^4 a^{-4} +10 z^4 a^{-6} +13 z^4+5 a^3 z^3+7 a z^3-4 z^3 a^{-1} -15 z^3 a^{-3} -7 z^3 a^{-5} +2 z^3 a^{-7} -6 a^2 z^2+2 z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-6} -8 z^2-2 a^3 z-4 a z-2 z a^{-1} +2 z a^{-3} +2 z a^{-5} +a^2- a^{-2} - a^{-4} +2 }[/math] |
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