K13n2570
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Polynomial invariants
| Jones polynomial | Data:K13n2570/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-2 t^3+6 t-9+6 t^{-1} -2 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2570/Conway Polynomial |
| Determinant | 15 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +7 z^6 a^{-2} -z^6+15 z^4 a^{-2} -z^4 a^{-4} -z^4 a^{-6} -5 z^4+12 z^2 a^{-2} -2 z^2 a^{-6} -6 z^2+2 a^{-2} +2 a^{-4} -2 a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +3 z^{10} a^{-2} +z^{10} a^{-4} +2 z^{10}+a z^9-6 z^9 a^{-1} -7 z^9 a^{-3} -24 z^8 a^{-2} -8 z^8 a^{-4} +z^8 a^{-6} -15 z^8-7 a z^7+6 z^7 a^{-1} +12 z^7 a^{-3} +z^7 a^{-5} +2 z^7 a^{-7} +59 z^6 a^{-2} +19 z^6 a^{-4} -2 z^6 a^{-6} +2 z^6 a^{-8} +36 z^6+15 a z^5+10 z^5 a^{-1} -2 z^5 a^{-3} -2 z^5 a^{-5} -4 z^5 a^{-7} +z^5 a^{-9} -55 z^4 a^{-2} -13 z^4 a^{-4} +3 z^4 a^{-6} -5 z^4 a^{-8} -34 z^4-11 a z^3-14 z^3 a^{-1} -3 z^3 a^{-3} +3 z^3 a^{-5} -3 z^3 a^{-9} +20 z^2 a^{-2} -6 z^2 a^{-6} +2 z^2 a^{-8} +12 z^2+2 a z+4 z a^{-1} +2 z a^{-3} -2 z a^{-5} +2 z a^{-9} -2 a^{-2} +2 a^{-4} +2 a^{-6} -1 }[/math] |
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