K13n1411
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Polynomial invariants
| Jones polynomial | Data:K13n1411/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-3 t^2+7 t-9+7 t^{-1} -3 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n1411/Conway Polynomial |
| Determinant | 31 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +5 z^4 a^{-6} -2 z^4 a^{-8} +z^2 a^{-4} +8 z^2 a^{-6} -6 z^2 a^{-8} +z^2 a^{-10} + a^{-4} +3 a^{-6} -4 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +5 z^{10} a^{-8} +3 z^{10} a^{-10} +z^9 a^{-5} -2 z^9 a^{-7} +3 z^9 a^{-11} -13 z^8 a^{-6} -30 z^8 a^{-8} -16 z^8 a^{-10} +z^8 a^{-12} -7 z^7 a^{-5} -16 z^7 a^{-7} -26 z^7 a^{-9} -17 z^7 a^{-11} +26 z^6 a^{-6} +52 z^6 a^{-8} +21 z^6 a^{-10} -5 z^6 a^{-12} +14 z^5 a^{-5} +46 z^5 a^{-7} +59 z^5 a^{-9} +27 z^5 a^{-11} -2 z^4 a^{-4} -26 z^4 a^{-6} -36 z^4 a^{-8} -6 z^4 a^{-10} +6 z^4 a^{-12} -z^3 a^{-3} -14 z^3 a^{-5} -42 z^3 a^{-7} -44 z^3 a^{-9} -15 z^3 a^{-11} +z^2 a^{-4} +13 z^2 a^{-6} +14 z^2 a^{-8} -2 z^2 a^{-12} +z a^{-3} +4 z a^{-5} +12 z a^{-7} +12 z a^{-9} +3 z a^{-11} + a^{-4} -3 a^{-6} -4 a^{-8} - a^{-10} }[/math] |
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