K13n32
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Polynomial invariants
| Jones polynomial | Data:K13n32/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-8 t^3+23 t^2-36 t+41-36 t^{-1} +23 t^{-2} -8 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n32/Conway Polynomial |
| Determinant | 177 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -3 z^6 a^{-4} +4 z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-2} -11 z^4 a^{-4} +6 z^4 a^{-6} -2 z^4 a^{-8} +6 z^2 a^{-2} -12 z^2 a^{-4} +5 z^2 a^{-6} +z^2 a^{-8} +4 a^{-2} -5 a^{-4} + a^{-6} +2 a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +2 z^{10} a^{-4} +7 z^{10} a^{-6} +5 z^{10} a^{-8} +z^9 a^{-3} +6 z^9 a^{-5} +16 z^9 a^{-7} +11 z^9 a^{-9} -2 z^8 a^{-4} -3 z^8 a^{-6} +12 z^8 a^{-8} +13 z^8 a^{-10} +z^7 a^{-3} -14 z^7 a^{-5} -34 z^7 a^{-7} -10 z^7 a^{-9} +9 z^7 a^{-11} +3 z^6 a^{-2} +6 z^6 a^{-4} -17 z^6 a^{-6} -45 z^6 a^{-8} -21 z^6 a^{-10} +4 z^6 a^{-12} -5 z^5 a^{-3} +11 z^5 a^{-5} +22 z^5 a^{-7} -7 z^5 a^{-9} -12 z^5 a^{-11} +z^5 a^{-13} -10 z^4 a^{-2} -20 z^4 a^{-4} +16 z^4 a^{-6} +46 z^4 a^{-8} +16 z^4 a^{-10} -4 z^4 a^{-12} +z^3 a^{-3} -12 z^3 a^{-5} -10 z^3 a^{-7} +11 z^3 a^{-9} +7 z^3 a^{-11} -z^3 a^{-13} +11 z^2 a^{-2} +18 z^2 a^{-4} -5 z^2 a^{-6} -20 z^2 a^{-8} -7 z^2 a^{-10} +z^2 a^{-12} +2 z a^{-3} +6 z a^{-5} +4 z a^{-7} -2 z a^{-9} -2 z a^{-11} -4 a^{-2} -5 a^{-4} - a^{-6} +2 a^{-8} + a^{-10} }[/math] |
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