K13n1663
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Polynomial invariants
| Jones polynomial | Data:K13n1663/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+7 t^3-9 t^2+9 t-9+9 t^{-1} -9 t^{-2} +7 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1663/Conway Polynomial |
| Determinant | 63 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -5 z^6 a^{-6} -6 z^6 a^{-8} +z^6 a^{-10} +5 z^4 a^{-4} -6 z^4 a^{-6} -12 z^4 a^{-8} +6 z^4 a^{-10} +7 z^2 a^{-4} -z^2 a^{-6} -11 z^2 a^{-8} +10 z^2 a^{-10} -z^2 a^{-12} +3 a^{-4} - a^{-6} -4 a^{-8} +5 a^{-10} -2 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +4 z^{10} a^{-8} +2 z^{10} a^{-10} +2 z^9 a^{-5} -2 z^9 a^{-7} -3 z^9 a^{-9} +z^9 a^{-11} +z^8 a^{-4} -8 z^8 a^{-6} -20 z^8 a^{-8} -11 z^8 a^{-10} -10 z^7 a^{-5} -5 z^7 a^{-7} +3 z^7 a^{-9} -2 z^7 a^{-11} -6 z^6 a^{-4} +4 z^6 a^{-6} +37 z^6 a^{-8} +32 z^6 a^{-10} +5 z^6 a^{-12} +13 z^5 a^{-5} +7 z^5 a^{-7} -4 z^5 a^{-9} +5 z^5 a^{-11} +3 z^5 a^{-13} +12 z^4 a^{-4} +8 z^4 a^{-6} -41 z^4 a^{-8} -50 z^4 a^{-10} -11 z^4 a^{-12} +2 z^4 a^{-14} -2 z^3 a^{-5} +3 z^3 a^{-7} +z^3 a^{-9} -7 z^3 a^{-11} -2 z^3 a^{-13} +z^3 a^{-15} -10 z^2 a^{-4} -4 z^2 a^{-6} +24 z^2 a^{-8} +30 z^2 a^{-10} +11 z^2 a^{-12} -z^2 a^{-14} -2 z a^{-5} -4 z a^{-7} -3 z a^{-9} +z a^{-11} +z a^{-13} -z a^{-15} +3 a^{-4} + a^{-6} -4 a^{-8} -5 a^{-10} -2 a^{-12} }[/math] |
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