K13n3792
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Polynomial invariants
| Jones polynomial | Data:K13n3792/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+16 t^2-28 t+35-28 t^{-1} +16 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3792/Conway Polynomial |
| Determinant | 137 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-2 a^2 z^6-z^6 a^{-2} +5 z^6+a^4 z^4-7 a^2 z^4-3 z^4 a^{-2} +9 z^4+2 a^4 z^2-7 a^2 z^2-2 z^2 a^{-2} +5 z^2+a^4-a^2+ a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +4 a^2 z^{10}+2 z^{10} a^{-2} +6 z^{10}+7 a^3 z^9+9 a z^9+3 z^9 a^{-1} +z^9 a^{-3} +7 a^4 z^8-a^2 z^8-4 z^8 a^{-2} -12 z^8+4 a^5 z^7-14 a^3 z^7-30 a z^7-11 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6-16 a^4 z^6-14 a^2 z^6+9 z^6 a^{-2} +4 z^6 a^{-4} +8 z^6-9 a^5 z^5+7 a^3 z^5+37 a z^5+18 z^5 a^{-1} -2 z^5 a^{-3} +z^5 a^{-5} -2 a^6 z^4+8 a^4 z^4+16 a^2 z^4-8 z^4 a^{-2} -8 z^4 a^{-4} +6 z^4+4 a^5 z^3-6 a^3 z^3-17 a z^3-6 z^3 a^{-1} -z^3 a^{-3} -2 z^3 a^{-5} +a^6 z^2-3 a^4 z^2-8 a^2 z^2+4 z^2 a^{-2} +2 z^2 a^{-4} -2 z^2+2 a^3 z+2 a z+a^4+a^2- a^{-2} }[/math] |
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