K13n3665
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Polynomial invariants
| Jones polynomial | Data:K13n3665/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^2+13 t-17+13 t^{-1} -4 t^{-2} }[/math] |
| Conway polynomial | Data:K13n3665/Conway Polynomial |
| Determinant | 51 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} +z^6 a^{-6} +z^4 a^{-2} -8 z^4 a^{-4} +4 z^4 a^{-6} -z^4 a^{-8} +6 z^2 a^{-2} -15 z^2 a^{-4} +7 z^2 a^{-6} -z^2 a^{-8} +6 a^{-2} -9 a^{-4} +4 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-6} +2 z^{10} a^{-8} +3 z^9 a^{-5} +8 z^9 a^{-7} +5 z^9 a^{-9} -z^8 a^{-4} -7 z^8 a^{-6} -2 z^8 a^{-8} +4 z^8 a^{-10} -z^7 a^{-3} -20 z^7 a^{-5} -41 z^7 a^{-7} -21 z^7 a^{-9} +z^7 a^{-11} +z^6 a^{-2} +7 z^6 a^{-4} -22 z^6 a^{-8} -16 z^6 a^{-10} +5 z^5 a^{-3} +49 z^5 a^{-5} +68 z^5 a^{-7} +21 z^5 a^{-9} -3 z^5 a^{-11} -7 z^4 a^{-2} -18 z^4 a^{-4} +13 z^4 a^{-6} +38 z^4 a^{-8} +14 z^4 a^{-10} -10 z^3 a^{-3} -54 z^3 a^{-5} -52 z^3 a^{-7} -7 z^3 a^{-9} +z^3 a^{-11} +13 z^2 a^{-2} +21 z^2 a^{-4} -6 z^2 a^{-6} -16 z^2 a^{-8} -2 z^2 a^{-10} +8 z a^{-3} +22 z a^{-5} +17 z a^{-7} +3 z a^{-9} -6 a^{-2} -9 a^{-4} -4 a^{-6} }[/math] |
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