K13n4805
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Polynomial invariants
| Jones polynomial | Data:K13n4805/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+15 t^2-26 t+29-26 t^{-1} +15 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4805/Conway Polynomial |
| Determinant | 117 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -2 z^6 a^{-6} +z^4 a^{-2} -z^4 a^{-4} -6 z^4 a^{-6} +3 z^4 a^{-8} +2 z^2 a^{-2} +3 z^2 a^{-4} -4 z^2 a^{-6} +7 z^2 a^{-8} -z^2 a^{-10} + a^{-4} +2 a^{-8} -2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +4 z^{10} a^{-6} +5 z^{10} a^{-8} +z^{10} a^{-10} +6 z^9 a^{-5} +5 z^9 a^{-7} -z^9 a^{-9} +5 z^8 a^{-4} -9 z^8 a^{-6} -14 z^8 a^{-8} +3 z^7 a^{-3} -18 z^7 a^{-5} -21 z^7 a^{-7} +6 z^7 a^{-9} +6 z^7 a^{-11} +z^6 a^{-2} -13 z^6 a^{-4} +8 z^6 a^{-6} +22 z^6 a^{-8} +3 z^6 a^{-10} +3 z^6 a^{-12} -8 z^5 a^{-3} +22 z^5 a^{-5} +32 z^5 a^{-7} -11 z^5 a^{-9} -12 z^5 a^{-11} +z^5 a^{-13} -3 z^4 a^{-2} +9 z^4 a^{-4} -3 z^4 a^{-6} -15 z^4 a^{-8} -5 z^4 a^{-10} -5 z^4 a^{-12} +4 z^3 a^{-3} -15 z^3 a^{-5} -16 z^3 a^{-7} +14 z^3 a^{-9} +9 z^3 a^{-11} -2 z^3 a^{-13} +2 z^2 a^{-2} -5 z^2 a^{-4} +z^2 a^{-6} +7 z^2 a^{-8} +z^2 a^{-12} +z a^{-5} +z a^{-7} -7 z a^{-9} -6 z a^{-11} +z a^{-13} + a^{-4} +2 a^{-8} +2 a^{-10} }[/math] |
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