K13n3927
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Polynomial invariants
| Jones polynomial | Data:K13n3927/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-6 t^2+12 t-13+12 t^{-1} -6 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n3927/Conway Polynomial |
| Determinant | 51 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6-a^4 z^4+4 a^2 z^4-z^4 a^{-2} -2 z^4-2 a^4 z^2+5 a^2 z^2-2 z^2 a^{-2} +z^2 a^{-4} -5 z^2+2 a^2+ a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+3 a^4 z^{10}+7 a^2 z^{10}+4 z^{10}+a^5 z^9-10 a^3 z^9-8 a z^9+3 z^9 a^{-1} -20 a^4 z^8-44 a^2 z^8+z^8 a^{-2} -23 z^8-6 a^5 z^7+9 a^3 z^7+a z^7-14 z^7 a^{-1} +43 a^4 z^6+88 a^2 z^6-z^6 a^{-2} +44 z^6+11 a^5 z^5+11 a^3 z^5+15 a z^5+19 z^5 a^{-1} +4 z^5 a^{-3} -34 a^4 z^4-69 a^2 z^4-4 z^4 a^{-2} +3 z^4 a^{-4} -42 z^4-7 a^5 z^3-13 a^3 z^3-9 a z^3-13 z^3 a^{-1} -8 z^3 a^{-3} +2 z^3 a^{-5} +7 a^4 z^2+22 a^2 z^2-3 z^2 a^{-4} +z^2 a^{-6} +19 z^2+a^5 z+3 a^3 z+2 a z+2 z a^{-1} +2 z a^{-3} -2 a^2+ a^{-4} -2 }[/math] |
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