K13n2209
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Polynomial invariants
| Jones polynomial | Data:K13n2209/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^2-2 t+3-2 t^{-1} + t^{-2} }[/math] |
| Conway polynomial | Data:K13n2209/Conway Polynomial |
| Determinant | 9 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6+z^4 a^4-2 a^4+2 z^4 a^2+6 z^2 a^2+4 a^2-z^4-3 z^2-1-z^4 a^{-2} -z^2 a^{-2} +z^2 a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^4 z^{10}+2 a^2 z^{10}+3 z^{10} a^{-2} +4 z^{10}+3 a^5 z^9+3 a^3 z^9-5 a z^9-2 z^9 a^{-1} +3 z^9 a^{-3} +3 a^6 z^8-2 a^4 z^8-15 a^2 z^8-17 z^8 a^{-2} +z^8 a^{-4} -28 z^8+a^7 z^7-13 a^5 z^7-18 a^3 z^7-3 a z^7-16 z^7 a^{-1} -17 z^7 a^{-3} -13 a^6 z^6-5 a^4 z^6+31 a^2 z^6+26 z^6 a^{-2} -5 z^6 a^{-4} +54 z^6-4 a^7 z^5+15 a^5 z^5+29 a^3 z^5+20 a z^5+37 z^5 a^{-1} +27 z^5 a^{-3} +14 a^6 z^4+2 a^4 z^4-34 a^2 z^4-16 z^4 a^{-2} +6 z^4 a^{-4} -44 z^4+4 a^7 z^3-10 a^5 z^3-23 a^3 z^3-15 a z^3-20 z^3 a^{-1} -14 z^3 a^{-3} -3 a^6 z^2+3 a^4 z^2+20 a^2 z^2+5 z^2 a^{-2} -z^2 a^{-4} +20 z^2+3 a^5 z+5 a^3 z+3 a z+z a^{-1} -2 a^4-4 a^2-1 }[/math] |
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