K13n1143
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Polynomial invariants
| Jones polynomial | Data:K13n1143/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+11 t^2-25 t+33-25 t^{-1} +11 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1143/Conway Polynomial |
| Determinant | 109 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+a^2 z^4-2 z^4 a^{-2} +2 z^4 a^{-4} -2 z^4+a^2 z^2-2 z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-6} -z^2- a^{-2} +2 a^{-4} - a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +6 z^{10} a^{-2} +3 z^{10} a^{-4} +3 z^{10}+3 a z^9+4 z^9 a^{-1} +5 z^9 a^{-3} +4 z^9 a^{-5} +a^2 z^8-19 z^8 a^{-2} -6 z^8 a^{-4} +3 z^8 a^{-6} -9 z^8-9 a z^7-23 z^7 a^{-1} -29 z^7 a^{-3} -14 z^7 a^{-5} +z^7 a^{-7} +2 a^2 z^6+19 z^6 a^{-2} -7 z^6 a^{-4} -12 z^6 a^{-6} +16 z^6+4 a^3 z^5+20 a z^5+42 z^5 a^{-1} +42 z^5 a^{-3} +12 z^5 a^{-5} -4 z^5 a^{-7} +a^4 z^4-2 a^2 z^4-3 z^4 a^{-2} +16 z^4 a^{-4} +13 z^4 a^{-6} -9 z^4-5 a^3 z^3-16 a z^3-30 z^3 a^{-1} -27 z^3 a^{-3} -4 z^3 a^{-5} +4 z^3 a^{-7} -a^4 z^2-5 z^2 a^{-2} -10 z^2 a^{-4} -5 z^2 a^{-6} +z^2+a^3 z+4 a z+7 z a^{-1} +6 z a^{-3} +z a^{-5} -z a^{-7} + a^{-2} +2 a^{-4} + a^{-6} +1 }[/math] |
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