K13n2173
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Polynomial invariants
| Jones polynomial | Data:K13n2173/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+3 t^2-5 t+7-5 t^{-1} +3 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2173/Conway Polynomial |
| Determinant | 25 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -a^2 z^4-4 z^4 a^{-2} +z^4 a^{-4} +z^4+a^4 z^2-3 a^2 z^2-5 z^2 a^{-2} +2 z^2 a^{-4} +3 z^2+a^4-2 a^2-2 a^{-2} + a^{-4} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+2 a^3 z^9+2 a z^9+z^9 a^{-1} +z^9 a^{-3} +a^4 z^8-6 a^2 z^8+2 z^8 a^{-2} +3 z^8 a^{-4} -8 z^8-13 a^3 z^7-17 a z^7-7 z^7 a^{-1} +3 z^7 a^{-5} -6 a^4 z^6+6 a^2 z^6-6 z^6 a^{-2} -9 z^6 a^{-4} +z^6 a^{-6} +16 z^6+24 a^3 z^5+38 a z^5+16 z^5 a^{-1} -8 z^5 a^{-3} -10 z^5 a^{-5} +10 a^4 z^4+6 a^2 z^4+5 z^4 a^{-2} +4 z^4 a^{-4} -3 z^4 a^{-6} -6 z^4-15 a^3 z^3-27 a z^3-14 z^3 a^{-1} +5 z^3 a^{-3} +7 z^3 a^{-5} -5 a^4 z^2-7 a^2 z^2-5 z^2 a^{-2} -z^2 a^{-4} +2 z^2 a^{-6} -4 z^2+3 a^3 z+6 a z+4 z a^{-1} -z a^{-5} +a^4+2 a^2+2 a^{-2} + a^{-4} +3 }[/math] |
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