K13n1085
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Polynomial invariants
| Jones polynomial | Data:K13n1085/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+9 t^3-14 t^2+18 t-19+18 t^{-1} -14 t^{-2} +9 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n1085/Conway Polynomial |
| Determinant | 111 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +8 z^8 a^{-2} -z^8 a^{-4} -z^8+25 z^6 a^{-2} -7 z^6 a^{-4} -6 z^6+40 z^4 a^{-2} -18 z^4 a^{-4} +z^4 a^{-6} -13 z^4+35 z^2 a^{-2} -21 z^2 a^{-4} +3 z^2 a^{-6} -13 z^2+14 a^{-2} -10 a^{-4} +2 a^{-6} -5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +10 z^{10} a^{-2} +6 z^{10} a^{-4} +4 z^{10}+4 a z^9-z^9 a^{-1} +z^9 a^{-3} +6 z^9 a^{-5} +3 a^2 z^8-48 z^8 a^{-2} -30 z^8 a^{-4} +2 z^8 a^{-6} -13 z^8+a^3 z^7-12 a z^7-18 z^7 a^{-1} -36 z^7 a^{-3} -31 z^7 a^{-5} -11 a^2 z^6+92 z^6 a^{-2} +61 z^6 a^{-4} -5 z^6 a^{-6} +15 z^6-4 a^3 z^5+5 a z^5+38 z^5 a^{-1} +92 z^5 a^{-3} +67 z^5 a^{-5} +4 z^5 a^{-7} +10 a^2 z^4-90 z^4 a^{-2} -53 z^4 a^{-4} +6 z^4 a^{-6} +z^4 a^{-8} -22 z^4+5 a^3 z^3+a z^3-39 z^3 a^{-1} -83 z^3 a^{-3} -57 z^3 a^{-5} -9 z^3 a^{-7} -2 a^2 z^2+48 z^2 a^{-2} +30 z^2 a^{-4} -2 z^2 a^{-8} +18 z^2-2 a^3 z+a z+15 z a^{-1} +27 z a^{-3} +19 z a^{-5} +4 z a^{-7} -14 a^{-2} -10 a^{-4} -2 a^{-6} -5 }[/math] |
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