K13n4099
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Polynomial invariants
| Jones polynomial | Data:K13n4099/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+12 t^2-32 t+45-32 t^{-1} +12 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4099/Conway Polynomial |
| Determinant | 137 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6-z^6+a^4 z^4-2 a^2 z^4+2 z^4 a^{-2} -z^4+a^4 z^2-3 a^2 z^2+2 z^2 a^{-2} -z^2 a^{-4} -z^2+a^4-a^2+ a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +6 a^2 z^{10}+3 z^{10} a^{-2} +9 z^{10}+8 a^3 z^9+4 a z^9-3 z^9 a^{-1} +z^9 a^{-3} +7 a^4 z^8-14 a^2 z^8-11 z^8 a^{-2} -32 z^8+4 a^5 z^7-20 a^3 z^7-27 a z^7-2 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6-16 a^4 z^6+10 a^2 z^6+24 z^6 a^{-2} +4 z^6 a^{-4} +47 z^6-9 a^5 z^5+15 a^3 z^5+43 a z^5+15 z^5 a^{-1} -3 z^5 a^{-3} +z^5 a^{-5} -2 a^6 z^4+6 a^4 z^4-22 z^4 a^{-2} -9 z^4 a^{-4} -21 z^4+3 a^5 z^3-9 a^3 z^3-20 a z^3-7 z^3 a^{-1} -z^3 a^{-3} -2 z^3 a^{-5} +a^6 z^2-2 a^4 z^2-4 a^2 z^2+8 z^2 a^{-2} +3 z^2 a^{-4} +4 z^2+2 a^3 z+2 a z+a^4+a^2- a^{-2} }[/math] |
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