K13n3234
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Polynomial invariants
| Jones polynomial | Data:K13n3234/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3-3 t^2+3-3 t^{-2} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3234/Conway Polynomial |
| Determinant | 11 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6-6 z^6+4 a^2 z^4+z^4 a^{-4} -10 z^4+3 a^2 z^2-2 z^2 a^{-2} +2 z^2 a^{-4} -4 z^2-2 a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+z^{10} a^{-2} +4 z^{10}+3 a^3 z^9-2 a z^9-5 z^9 a^{-1} +a^4 z^8-17 a^2 z^8-7 z^8 a^{-2} +z^8 a^{-4} -26 z^8-17 a^3 z^7-15 a z^7+z^7 a^{-1} +z^7 a^{-3} +2 z^7 a^{-5} -5 a^4 z^6+25 a^2 z^6+12 z^6 a^{-2} -4 z^6 a^{-4} +z^6 a^{-6} +47 z^6+26 a^3 z^5+36 a z^5+11 z^5 a^{-1} -8 z^5 a^{-3} -9 z^5 a^{-5} +6 a^4 z^4-11 a^2 z^4-8 z^4 a^{-2} +z^4 a^{-4} -4 z^4 a^{-6} -30 z^4-12 a^3 z^3-20 a z^3-9 z^3 a^{-1} +8 z^3 a^{-3} +9 z^3 a^{-5} -2 a^4 z^2+2 a^2 z^2-2 z^2 a^{-2} +3 z^2 a^{-6} +5 z^2+a^3 z+2 a z-3 z a^{-3} -2 z a^{-5} +2 a^{-2} + a^{-4} +2 }[/math] |
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