K13n2891
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Polynomial invariants
| Jones polynomial | Data:K13n2891/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+16 t^2-36 t+47-36 t^{-1} +16 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2891/Conway Polynomial |
| Determinant | 157 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -2 z^6+4 a^2 z^4-2 z^4 a^{-2} +z^4 a^{-4} -5 z^4-2 a^4 z^2+8 a^2 z^2-3 z^2 a^{-2} +2 z^2 a^{-4} -4 z^2-2 a^4+4 a^2-2 a^{-2} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+4 z^{10} a^{-2} +7 z^{10}+3 a^3 z^9+8 a z^9+11 z^9 a^{-1} +6 z^9 a^{-3} +a^4 z^8-2 a^2 z^8-z^8 a^{-2} +5 z^8 a^{-4} -9 z^8-3 a^3 z^7-19 a z^7-31 z^7 a^{-1} -12 z^7 a^{-3} +3 z^7 a^{-5} +4 a^4 z^6+7 a^2 z^6-11 z^6 a^{-2} -11 z^6 a^{-4} +z^6 a^{-6} +4 z^6+3 a^5 z^5+7 a^3 z^5+23 a z^5+35 z^5 a^{-1} +8 z^5 a^{-3} -8 z^5 a^{-5} -10 a^4 z^4-17 a^2 z^4+16 z^4 a^{-2} +7 z^4 a^{-4} -3 z^4 a^{-6} -z^4-6 a^5 z^3-14 a^3 z^3-17 a z^3-15 z^3 a^{-1} +6 z^3 a^{-5} +6 a^4 z^2+12 a^2 z^2-9 z^2 a^{-2} -3 z^2 a^{-4} +2 z^2 a^{-6} +2 z^2+3 a^5 z+6 a^3 z+5 a z+z a^{-1} -3 z a^{-3} -2 z a^{-5} -2 a^4-4 a^2+2 a^{-2} + a^{-4} }[/math] |
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