K13n1096
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Polynomial invariants
| Jones polynomial | Data:K13n1096/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-t^2-t+3- t^{-1} - t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n1096/Conway Polynomial |
| Determinant | 1 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-z^8-a^4 z^6+8 a^2 z^6+z^6 a^{-2} -7 z^6-5 a^4 z^4+23 a^2 z^4+4 z^4 a^{-2} -17 z^4-9 a^4 z^2+27 a^2 z^2+4 z^2 a^{-2} -18 z^2-5 a^4+11 a^2+ a^{-2} -6 }[/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}+2 a^5 z^9+2 a^3 z^9-5 a z^9-2 z^9 a^{-1} +3 z^9 a^{-3} +2 a^6 z^8-4 a^4 z^8-17 a^2 z^8-17 z^8 a^{-2} +z^8 a^{-4} -29 z^8+a^7 z^7-8 a^5 z^7-13 a^3 z^7-4 a z^7-17 z^7 a^{-1} -17 z^7 a^{-3} -9 a^6 z^6+4 a^4 z^6+45 a^2 z^6+26 z^6 a^{-2} -5 z^6 a^{-4} +63 z^6-5 a^7 z^5+5 a^5 z^5+23 a^3 z^5+32 a z^5+46 z^5 a^{-1} +27 z^5 a^{-3} +10 a^6 z^4-11 a^4 z^4-61 a^2 z^4-15 z^4 a^{-2} +6 z^4 a^{-4} -61 z^4+7 a^7 z^3+a^5 z^3-23 a^3 z^3-39 a z^3-36 z^3 a^{-1} -14 z^3 a^{-3} -3 a^6 z^2+14 a^4 z^2+40 a^2 z^2+6 z^2 a^{-2} -z^2 a^{-4} +30 z^2-3 a^7 z+10 a^3 z+14 a z+9 z a^{-1} +2 z a^{-3} -5 a^4-11 a^2- a^{-2} -6 }[/math] |
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