K13n3242
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Polynomial invariants
| Jones polynomial | Data:K13n3242/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+6 t^2-8 t+9-8 t^{-1} +6 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3242/Conway Polynomial |
| Determinant | 41 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -4 z^4 a^{-2} -3 z^4 a^{-4} +z^4 a^{-6} +a^2 z^2-4 z^2 a^{-2} -z^2 a^{-4} +2 z^2 a^{-6} +a^2- a^{-2} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +4 z^{10} a^{-4} +3 z^{10} a^{-6} -4 z^9 a^{-3} -z^9 a^{-5} +3 z^9 a^{-7} -5 z^8 a^{-2} -21 z^8 a^{-4} -15 z^8 a^{-6} +z^8 a^{-8} +a z^7+2 z^7 a^{-3} -13 z^7 a^{-5} -16 z^7 a^{-7} +a^2 z^6+4 z^6 a^{-2} +32 z^6 a^{-4} +21 z^6 a^{-6} -5 z^6 a^{-8} -z^6-6 a z^5-5 z^5 a^{-1} -z^5 a^{-3} +23 z^5 a^{-5} +25 z^5 a^{-7} -5 a^2 z^4+z^4 a^{-2} -21 z^4 a^{-4} -11 z^4 a^{-6} +7 z^4 a^{-8} -z^4+7 a z^3+8 z^3 a^{-1} +2 z^3 a^{-3} -11 z^3 a^{-5} -12 z^3 a^{-7} +5 a^2 z^2-3 z^2 a^{-2} +4 z^2 a^{-4} +3 z^2 a^{-6} -2 z^2 a^{-8} +3 z^2-2 a z-3 z a^{-1} -z a^{-3} +z a^{-5} +z a^{-7} -a^2+ a^{-2} + a^{-4} }[/math] |
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