K13n2069
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Polynomial invariants
| Jones polynomial | Data:K13n2069/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^2+3- t^{-2} }[/math] |
| Conway polynomial | Data:K13n2069/Conway Polynomial |
| Determinant | 1 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^8-2 z^2 a^6-2 a^6+z^4 a^4+3 z^2 a^4+3 a^4-z^4 a^2-4 z^2 a^2-3 a^2-z^4-2 z^2+1+z^2 a^{-2} + a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^6 z^{10}+a^4 z^{10}+2 a^7 z^9+3 a^5 z^9+2 a^3 z^9+a z^9+a^8 z^8-4 a^6 z^8-5 a^4 z^8+2 a^2 z^8+2 z^8-12 a^7 z^7-19 a^5 z^7-14 a^3 z^7-5 a z^7+2 z^7 a^{-1} -6 a^8 z^6-2 a^6 z^6-14 a^2 z^6+z^6 a^{-2} -9 z^6+21 a^7 z^5+32 a^5 z^5+24 a^3 z^5+5 a z^5-8 z^5 a^{-1} +11 a^8 z^4+14 a^6 z^4+14 a^4 z^4+23 a^2 z^4-4 z^4 a^{-2} +8 z^4-13 a^7 z^3-18 a^5 z^3-13 a^3 z^3-3 a z^3+5 z^3 a^{-1} -7 a^8 z^2-10 a^6 z^2-12 a^4 z^2-14 a^2 z^2+3 z^2 a^{-2} -2 z^2+3 a^7 z+3 a^5 z+a^3 z+a z+a^8+2 a^6+3 a^4+3 a^2- a^{-2} +1 }[/math] |
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