K13n1064
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Polynomial invariants
| Jones polynomial | Data:K13n1064/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+15 t^2-32 t+41-32 t^{-1} +15 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1064/Conway Polynomial |
| Determinant | 141 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -2 z^6 a^{-8} +2 z^4 a^{-4} -z^4 a^{-6} -7 z^4 a^{-8} +3 z^4 a^{-10} +5 z^2 a^{-4} +z^2 a^{-6} -11 z^2 a^{-8} +7 z^2 a^{-10} -z^2 a^{-12} +3 a^{-4} + a^{-6} -7 a^{-8} +5 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +4 z^{10} a^{-8} +8 z^{10} a^{-10} +4 z^{10} a^{-12} +4 z^9 a^{-7} +11 z^9 a^{-9} +13 z^9 a^{-11} +6 z^9 a^{-13} +2 z^8 a^{-6} -9 z^8 a^{-8} -17 z^8 a^{-10} -2 z^8 a^{-12} +4 z^8 a^{-14} +z^7 a^{-5} -9 z^7 a^{-7} -47 z^7 a^{-9} -57 z^7 a^{-11} -19 z^7 a^{-13} +z^7 a^{-15} +z^6 a^{-6} +17 z^6 a^{-8} +z^6 a^{-10} -29 z^6 a^{-12} -14 z^6 a^{-14} +z^5 a^{-5} +20 z^5 a^{-7} +79 z^5 a^{-9} +79 z^5 a^{-11} +16 z^5 a^{-13} -3 z^5 a^{-15} +3 z^4 a^{-4} -2 z^4 a^{-6} -20 z^4 a^{-8} +12 z^4 a^{-10} +41 z^4 a^{-12} +14 z^4 a^{-14} -19 z^3 a^{-7} -65 z^3 a^{-9} -56 z^3 a^{-11} -8 z^3 a^{-13} +2 z^3 a^{-15} -6 z^2 a^{-4} +2 z^2 a^{-6} +18 z^2 a^{-8} -z^2 a^{-10} -16 z^2 a^{-12} -5 z^2 a^{-14} -2 z a^{-5} +7 z a^{-7} +23 z a^{-9} +18 z a^{-11} +4 z a^{-13} +3 a^{-4} - a^{-6} -7 a^{-8} -5 a^{-10} - a^{-12} }[/math] |
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