K13n3641
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Polynomial invariants
| Jones polynomial | Data:K13n3641/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-3 t^2+6 t-7+6 t^{-1} -3 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n3641/Conway Polynomial |
| Determinant | 27 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-z^8-a^4 z^6+7 a^2 z^6+z^6 a^{-2} -6 z^6-4 a^4 z^4+15 a^2 z^4+3 z^4 a^{-2} -11 z^4-4 a^4 z^2+10 a^2 z^2+z^2 a^{-2} -4 z^2-a^4-2 a^{-2} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +a^4 z^{10}+4 a^2 z^{10}+5 z^{10} a^{-2} +8 z^{10}+3 a^5 z^9+3 a^3 z^9-8 a z^9-4 z^9 a^{-1} +4 z^9 a^{-3} +3 a^6 z^8-4 a^4 z^8-29 a^2 z^8-26 z^8 a^{-2} +z^8 a^{-4} -49 z^8+a^7 z^7-15 a^5 z^7-23 a^3 z^7-9 a z^7-22 z^7 a^{-1} -20 z^7 a^{-3} -14 a^6 z^6-4 a^4 z^6+56 a^2 z^6+37 z^6 a^{-2} -4 z^6 a^{-4} +87 z^6-4 a^7 z^5+15 a^5 z^5+35 a^3 z^5+37 a z^5+47 z^5 a^{-1} +26 z^5 a^{-3} +14 a^6 z^4+7 a^4 z^4-47 a^2 z^4-20 z^4 a^{-2} +3 z^4 a^{-4} -63 z^4+3 a^7 z^3-2 a^5 z^3-15 a^3 z^3-22 a z^3-20 z^3 a^{-1} -8 z^3 a^{-3} -3 a^6 z^2+2 a^4 z^2+16 a^2 z^2+4 z^2 a^{-2} +15 z^2-a^7 z-a^5 z-a^3 z-2 a z-3 z a^{-1} -2 z a^{-3} -a^4+2 a^{-2} +4 }[/math] |
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