K13n3572
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Polynomial invariants
| Jones polynomial | Data:K13n3572/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+18 t^2-32 t+39-32 t^{-1} +18 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3572/Conway Polynomial |
| Determinant | 153 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -2 z^6 a^{-4} +5 z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} -6 z^4 a^{-4} +10 z^4 a^{-6} -3 z^4 a^{-8} +2 z^2 a^{-2} -4 z^2 a^{-4} +7 z^2 a^{-6} -3 z^2 a^{-8} + a^{-2} + a^{-4} - a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +z^{10} a^{-4} +6 z^{10} a^{-6} +5 z^{10} a^{-8} +z^9 a^{-5} +11 z^9 a^{-7} +10 z^9 a^{-9} -10 z^8 a^{-6} +z^8 a^{-8} +11 z^8 a^{-10} +4 z^7 a^{-3} +z^7 a^{-5} -27 z^7 a^{-7} -16 z^7 a^{-9} +8 z^7 a^{-11} +z^6 a^{-2} +3 z^6 a^{-4} +9 z^6 a^{-6} -15 z^6 a^{-8} -18 z^6 a^{-10} +4 z^6 a^{-12} -9 z^5 a^{-3} -8 z^5 a^{-5} +22 z^5 a^{-7} +9 z^5 a^{-9} -11 z^5 a^{-11} +z^5 a^{-13} -3 z^4 a^{-2} -13 z^4 a^{-4} -11 z^4 a^{-6} +14 z^4 a^{-8} +10 z^4 a^{-10} -5 z^4 a^{-12} +4 z^3 a^{-3} +4 z^3 a^{-5} -3 z^3 a^{-7} +2 z^3 a^{-9} +4 z^3 a^{-11} -z^3 a^{-13} +3 z^2 a^{-2} +7 z^2 a^{-4} +5 z^2 a^{-6} -z^2 a^{-8} -z^2 a^{-10} +z^2 a^{-12} -3 z a^{-5} -5 z a^{-7} -3 z a^{-9} -z a^{-11} - a^{-2} + a^{-4} + a^{-6} }[/math] |
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