K13n4061
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Polynomial invariants
| Jones polynomial | Data:K13n4061/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^3+10 t^2-18 t+23-18 t^{-1} +10 t^{-2} -4 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4061/Conway Polynomial |
| Determinant | 89 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +6 z^6 a^{-2} -z^6 a^{-4} -z^6+14 z^4 a^{-2} -4 z^4 a^{-4} -4 z^4+15 z^2 a^{-2} -6 z^2 a^{-4} -7 z^2+a^2+7 a^{-2} -3 a^{-4} -4 }[/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}-2 z^9 a^{-1} +3 z^9 a^{-3} +5 z^9 a^{-5} -21 z^8 a^{-2} -15 z^8 a^{-4} +3 z^8 a^{-6} -3 z^8+2 a z^7+2 z^7 a^{-1} -21 z^7 a^{-3} -20 z^7 a^{-5} +z^7 a^{-7} +42 z^6 a^{-2} +23 z^6 a^{-4} -11 z^6 a^{-6} +8 z^6-3 a z^5+33 z^5 a^{-3} +26 z^5 a^{-5} -4 z^5 a^{-7} +3 a^2 z^4-52 z^4 a^{-2} -29 z^4 a^{-4} +10 z^4 a^{-6} -10 z^4+a^3 z^3+7 a z^3-z^3 a^{-1} -29 z^3 a^{-3} -18 z^3 a^{-5} +4 z^3 a^{-7} -a^2 z^2+31 z^2 a^{-2} +16 z^2 a^{-4} -z^2 a^{-6} +13 z^2-a^3 z-2 a z+2 z a^{-1} +8 z a^{-3} +5 z a^{-5} -a^2-7 a^{-2} -3 a^{-4} -4 }[/math] |
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