K13n1023
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Polynomial invariants
| Jones polynomial | Data:K13n1023/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-10 t^2+19 t-23+19 t^{-1} -10 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1023/Conway Polynomial |
| Determinant | 91 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -6 z^6 a^{-2} +z^6 a^{-4} +z^6-14 z^4 a^{-2} +5 z^4 a^{-4} +3 z^4+a^2 z^2-14 z^2 a^{-2} +10 z^2 a^{-4} -z^2 a^{-6} +3 z^2+a^2-5 a^{-2} +6 a^{-4} -2 a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+a z^9+6 z^9 a^{-1} +5 z^9 a^{-3} +10 z^8 a^{-2} +8 z^8 a^{-4} +2 z^8+a z^7-11 z^7 a^{-1} -7 z^7 a^{-3} +5 z^7 a^{-5} +3 a^2 z^6-35 z^6 a^{-2} -22 z^6 a^{-4} +z^6 a^{-6} -9 z^6-10 a z^5-5 z^5 a^{-1} -2 z^5 a^{-3} -7 z^5 a^{-5} -9 a^2 z^4+37 z^4 a^{-2} +33 z^4 a^{-4} +6 z^4 a^{-6} +z^4+10 a z^3+11 z^3 a^{-1} +8 z^3 a^{-3} +10 z^3 a^{-5} +3 z^3 a^{-7} +7 a^2 z^2-21 z^2 a^{-2} -22 z^2 a^{-4} -6 z^2 a^{-6} +2 z^2-3 a z-5 z a^{-1} -4 z a^{-3} -4 z a^{-5} -2 z a^{-7} -a^2+5 a^{-2} +6 a^{-4} +2 a^{-6} +1 }[/math] |
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