K13n3492
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Polynomial invariants
| Jones polynomial | Data:K13n3492/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+6 t^2-6 t+5-6 t^{-1} +6 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3492/Conway Polynomial |
| Determinant | 33 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -z^6 a^{-6} +z^4 a^{-2} -3 z^4 a^{-4} -4 z^4 a^{-6} +3 z^2 a^{-2} -4 z^2 a^{-6} +z^2 a^{-10} + a^{-2} +2 a^{-4} -2 a^{-6} - a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{-5} +z^9 a^{-11} +2 z^8 a^{-4} +3 z^8 a^{-6} +z^8 a^{-12} +2 z^7 a^{-3} -z^7 a^{-5} +3 z^7 a^{-7} -2 z^7 a^{-9} -8 z^7 a^{-11} +z^6 a^{-2} -6 z^6 a^{-4} -10 z^6 a^{-6} +z^6 a^{-8} -3 z^6 a^{-10} -7 z^6 a^{-12} -7 z^5 a^{-3} -4 z^5 a^{-5} -6 z^5 a^{-7} +10 z^5 a^{-9} +19 z^5 a^{-11} -4 z^4 a^{-2} +4 z^4 a^{-4} +14 z^4 a^{-6} +2 z^4 a^{-8} +10 z^4 a^{-10} +14 z^4 a^{-12} +5 z^3 a^{-3} +5 z^3 a^{-5} +4 z^3 a^{-7} -12 z^3 a^{-9} -16 z^3 a^{-11} +4 z^2 a^{-2} -3 z^2 a^{-4} -11 z^2 a^{-6} -z^2 a^{-8} -5 z^2 a^{-10} -8 z^2 a^{-12} -3 z a^{-5} -z a^{-7} +7 z a^{-9} +5 z a^{-11} - a^{-2} +2 a^{-4} +2 a^{-6} - a^{-8} - a^{-10} }[/math] |
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