K13n1198
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Polynomial invariants
| Jones polynomial | Data:K13n1198/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^3+10 t^2-16 t+19-16 t^{-1} +10 t^{-2} -4 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1198/Conway Polynomial |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +7 z^6 a^{-2} -2 z^6 a^{-4} -z^6+20 z^4 a^{-2} -10 z^4 a^{-4} +z^4 a^{-6} -5 z^4+27 z^2 a^{-2} -17 z^2 a^{-4} +3 z^2 a^{-6} -9 z^2+14 a^{-2} -10 a^{-4} +2 a^{-6} -5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +6 z^{10} a^{-4} +3 z^{10} a^{-6} +3 z^9 a^{-1} +3 z^9 a^{-3} +3 z^9 a^{-5} +3 z^9 a^{-7} -12 z^8 a^{-2} -27 z^8 a^{-4} -13 z^8 a^{-6} +z^8 a^{-8} +z^8-12 z^7 a^{-1} -29 z^7 a^{-3} -33 z^7 a^{-5} -16 z^7 a^{-7} +23 z^6 a^{-2} +41 z^6 a^{-4} +14 z^6 a^{-6} -5 z^6 a^{-8} +z^6+4 a z^5+25 z^5 a^{-1} +59 z^5 a^{-3} +65 z^5 a^{-5} +27 z^5 a^{-7} +2 a^2 z^4-36 z^4 a^{-2} -38 z^4 a^{-4} -3 z^4 a^{-6} +7 z^4 a^{-8} -6 z^4+a^3 z^3-5 a z^3-30 z^3 a^{-1} -61 z^3 a^{-3} -54 z^3 a^{-5} -17 z^3 a^{-7} -a^2 z^2+33 z^2 a^{-2} +25 z^2 a^{-4} +2 z^2 a^{-6} -2 z^2 a^{-8} +11 z^2-a^3 z+3 a z+15 z a^{-1} +25 z a^{-3} +18 z a^{-5} +4 z a^{-7} -14 a^{-2} -10 a^{-4} -2 a^{-6} -5 }[/math] |
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