K13n2145
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Polynomial invariants
| Jones polynomial | Data:K13n2145/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+9 t^3-13 t^2+15 t-15+15 t^{-1} -13 t^{-2} +9 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n2145/Conway Polynomial |
| Determinant | 99 |
| 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} -17 z^4 a^{-4} +z^4 a^{-6} -13 z^4+34 z^2 a^{-2} -18 z^2 a^{-4} +2 z^2 a^{-6} -13 z^2+13 a^{-2} -8 a^{-4} + a^{-6} -5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +9 z^{10} a^{-2} +4 z^{10} a^{-4} +5 z^{10}+5 a z^9-z^9 a^{-1} -4 z^9 a^{-3} +2 z^9 a^{-5} +3 a^2 z^8-45 z^8 a^{-2} -22 z^8 a^{-4} -20 z^8+a^3 z^7-19 a z^7-21 z^7 a^{-1} -11 z^7 a^{-3} -10 z^7 a^{-5} -11 a^2 z^6+90 z^6 a^{-2} +51 z^6 a^{-4} +z^6 a^{-6} +29 z^6-4 a^3 z^5+20 a z^5+46 z^5 a^{-1} +46 z^5 a^{-3} +24 z^5 a^{-5} +9 a^2 z^4-91 z^4 a^{-2} -51 z^4 a^{-4} -31 z^4+4 a^3 z^3-11 a z^3-44 z^3 a^{-1} -49 z^3 a^{-3} -19 z^3 a^{-5} +z^3 a^{-7} -a^2 z^2+47 z^2 a^{-2} +29 z^2 a^{-4} +2 z^2 a^{-6} +19 z^2-a^3 z+4 a z+15 z a^{-1} +18 z a^{-3} +7 z a^{-5} -z a^{-7} -13 a^{-2} -8 a^{-4} - a^{-6} -5 }[/math] |
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