K13n1314
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Polynomial invariants
| Jones polynomial | Data:K13n1314/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^2-8 t+11-8 t^{-1} +3 t^{-2} }[/math] |
| Conway polynomial | Data:K13n1314/Conway Polynomial |
| Determinant | 33 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6-z^6 a^{-2} -a^4 z^4+6 a^2 z^4-4 z^4 a^{-2} +z^4 a^{-4} +z^4-4 a^4 z^2+11 a^2 z^2-6 z^2 a^{-2} +2 z^2 a^{-4} +z^2-4 a^4+7 a^2-3 a^{-2} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+z^{10} a^{-2} +z^{10}+a^5 z^9+3 a^3 z^9+3 a z^9+4 z^9 a^{-1} +3 z^9 a^{-3} -7 a^4 z^8-7 a^2 z^8+4 z^8 a^{-4} -4 z^8-8 a^5 z^7-24 a^3 z^7-25 a z^7-22 z^7 a^{-1} -10 z^7 a^{-3} +3 z^7 a^{-5} +15 a^4 z^6+10 a^2 z^6-16 z^6 a^{-2} -14 z^6 a^{-4} +z^6 a^{-6} -6 z^6+22 a^5 z^5+60 a^3 z^5+59 a z^5+35 z^5 a^{-1} +4 z^5 a^{-3} -10 z^5 a^{-5} -13 a^4 z^4-2 a^2 z^4+29 z^4 a^{-2} +10 z^4 a^{-4} -3 z^4 a^{-6} +27 z^4-25 a^5 z^3-61 a^3 z^3-52 a z^3-17 z^3 a^{-1} +5 z^3 a^{-3} +6 z^3 a^{-5} +7 a^4 z^2+4 a^2 z^2-16 z^2 a^{-2} -4 z^2 a^{-4} +z^2 a^{-6} -14 z^2+10 a^5 z+22 a^3 z+18 a z+4 z a^{-1} -4 z a^{-3} -2 z a^{-5} -4 a^4-7 a^2+3 a^{-2} + a^{-4} }[/math] |
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