K13n137
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Polynomial invariants
| Jones polynomial | Data:K13n137/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+6 t^2-15 t+21-15 t^{-1} +6 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n137/Conway Polynomial |
| Determinant | 65 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} +3 z^4 a^{-2} -4 z^4 a^{-4} +z^4 a^{-6} +8 z^2 a^{-2} -7 z^2 a^{-4} +2 z^2 a^{-6} -3 z^2+a^2+6 a^{-2} -4 a^{-4} + a^{-6} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +5 z^{10} a^{-4} +3 z^{10} a^{-6} +z^9 a^{-1} -z^9 a^{-3} +z^9 a^{-5} +3 z^9 a^{-7} -9 z^8 a^{-2} -24 z^8 a^{-4} -14 z^8 a^{-6} +z^8 a^{-8} -2 z^7 a^{-1} -8 z^7 a^{-3} -22 z^7 a^{-5} -16 z^7 a^{-7} +18 z^6 a^{-2} +39 z^6 a^{-4} +18 z^6 a^{-6} -5 z^6 a^{-8} +2 z^6-2 z^5 a^{-1} +12 z^5 a^{-3} +40 z^5 a^{-5} +26 z^5 a^{-7} -28 z^4 a^{-2} -37 z^4 a^{-4} -8 z^4 a^{-6} +7 z^4 a^{-8} -6 z^4+2 a z^3+5 z^3 a^{-1} -9 z^3 a^{-3} -26 z^3 a^{-5} -14 z^3 a^{-7} +a^2 z^2+22 z^2 a^{-2} +19 z^2 a^{-4} +3 z^2 a^{-6} -2 z^2 a^{-8} +9 z^2-a z-z a^{-1} +3 z a^{-3} +5 z a^{-5} +2 z a^{-7} -a^2-6 a^{-2} -4 a^{-4} - a^{-6} -3 }[/math] |
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