K13n4185
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Polynomial invariants
| Jones polynomial | Data:K13n4185/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+10 t^2-21 t+27-21 t^{-1} +10 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4185/Conway Polynomial |
| Determinant | 93 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -z^6 a^{-6} +z^4 a^{-2} -2 z^4 a^{-4} -2 z^4 a^{-6} +z^4 a^{-8} +2 z^2 a^{-2} -z^2 a^{-6} + a^{-2} + a^{-4} -2 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +4 z^{10} a^{-8} +z^{10} a^{-10} +4 z^9 a^{-5} +z^9 a^{-7} -3 z^9 a^{-9} +4 z^8 a^{-4} -7 z^8 a^{-6} -15 z^8 a^{-8} -4 z^8 a^{-10} +3 z^7 a^{-3} -8 z^7 a^{-5} -9 z^7 a^{-7} +3 z^7 a^{-9} +z^7 a^{-11} +z^6 a^{-2} -8 z^6 a^{-4} +6 z^6 a^{-6} +24 z^6 a^{-8} +9 z^6 a^{-10} -8 z^5 a^{-3} +z^5 a^{-5} +16 z^5 a^{-7} +9 z^5 a^{-9} +2 z^5 a^{-11} -3 z^4 a^{-2} -z^4 a^{-4} -2 z^4 a^{-6} -10 z^4 a^{-8} -4 z^4 a^{-10} +2 z^4 a^{-12} +4 z^3 a^{-3} +z^3 a^{-5} -7 z^3 a^{-7} -12 z^3 a^{-9} -8 z^3 a^{-11} +3 z^2 a^{-2} +z^2 a^{-4} -z^2 a^{-6} +4 z^2 a^{-8} -z^2 a^{-10} -4 z^2 a^{-12} -2 z a^{-5} +z a^{-7} +7 z a^{-9} +4 z a^{-11} - a^{-2} + a^{-4} -2 a^{-8} - a^{-10} }[/math] |
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