K13n390
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Polynomial invariants
| Jones polynomial | Data:K13n390/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+19 t^2-32 t+39-32 t^{-1} +19 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n390/Conway Polynomial |
| Determinant | 157 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +5 z^6 a^{-2} -z^6 a^{-4} -3 z^6+2 a^2 z^4+10 z^4 a^{-2} -3 z^4 a^{-4} -12 z^4+5 a^2 z^2+9 z^2 a^{-2} -2 z^2 a^{-4} -15 z^2+3 a^2+3 a^{-2} -5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +7 z^{10} a^{-2} +4 z^{10} a^{-4} +3 z^{10}+4 a z^9+9 z^9 a^{-1} +11 z^9 a^{-3} +6 z^9 a^{-5} +3 a^2 z^8-7 z^8 a^{-2} -3 z^8 a^{-4} +4 z^8 a^{-6} +3 z^8+a^3 z^7+a z^7-16 z^7 a^{-1} -36 z^7 a^{-3} -19 z^7 a^{-5} +z^7 a^{-7} +3 a^2 z^6-7 z^6 a^{-2} -18 z^6 a^{-4} -14 z^6 a^{-6} +5 a^3 z^5-3 a z^5+6 z^5 a^{-1} +34 z^5 a^{-3} +17 z^5 a^{-5} -3 z^5 a^{-7} +3 a^4 z^4-6 a^2 z^4-z^4 a^{-2} +24 z^4 a^{-4} +14 z^4 a^{-6} -20 z^4-5 a^3 z^3+a z^3-6 z^3 a^{-1} -18 z^3 a^{-3} -4 z^3 a^{-5} +2 z^3 a^{-7} -3 a^4 z^2+7 a^2 z^2+6 z^2 a^{-2} -8 z^2 a^{-4} -3 z^2 a^{-6} +21 z^2+a^3 z+a z+3 z a^{-1} +4 z a^{-3} +z a^{-5} -3 a^2-3 a^{-2} -5 }[/math] |
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