K13n1332
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Polynomial invariants
| Jones polynomial | Data:K13n1332/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+8 t^3-15 t^2+20 t-21+20 t^{-1} -15 t^{-2} +8 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1332/Conway Polynomial |
| Determinant | 111 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -5 z^6 a^{-6} -5 z^6 a^{-8} +z^6 a^{-10} +5 z^4 a^{-4} -8 z^4 a^{-6} -9 z^4 a^{-8} +5 z^4 a^{-10} +8 z^2 a^{-4} -5 z^2 a^{-6} -10 z^2 a^{-8} +8 z^2 a^{-10} -z^2 a^{-12} +4 a^{-4} - a^{-6} -6 a^{-8} +5 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +7 z^{10} a^{-8} +5 z^{10} a^{-10} +2 z^9 a^{-5} +3 z^9 a^{-7} +10 z^9 a^{-9} +9 z^9 a^{-11} +z^8 a^{-4} -5 z^8 a^{-6} -25 z^8 a^{-8} -12 z^8 a^{-10} +7 z^8 a^{-12} -9 z^7 a^{-5} -24 z^7 a^{-7} -53 z^7 a^{-9} -36 z^7 a^{-11} +2 z^7 a^{-13} -6 z^6 a^{-4} -5 z^6 a^{-6} +27 z^6 a^{-8} +4 z^6 a^{-10} -22 z^6 a^{-12} +11 z^5 a^{-5} +33 z^5 a^{-7} +84 z^5 a^{-9} +64 z^5 a^{-11} +2 z^5 a^{-13} +13 z^4 a^{-4} +16 z^4 a^{-6} -22 z^4 a^{-8} +2 z^4 a^{-10} +32 z^4 a^{-12} +5 z^4 a^{-14} -z^3 a^{-5} -18 z^3 a^{-7} -68 z^3 a^{-9} -56 z^3 a^{-11} -4 z^3 a^{-13} +z^3 a^{-15} -12 z^2 a^{-4} -8 z^2 a^{-6} +17 z^2 a^{-8} +2 z^2 a^{-10} -14 z^2 a^{-12} -3 z^2 a^{-14} -3 z a^{-5} +5 z a^{-7} +23 z a^{-9} +19 z a^{-11} +4 z a^{-13} +4 a^{-4} + a^{-6} -6 a^{-8} -5 a^{-10} - a^{-12} }[/math] |
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