K13n1880
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Polynomial invariants
| Jones polynomial | Data:K13n1880/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-21 t^2+36 t-41+36 t^{-1} -21 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1880/Conway Polynomial |
| Determinant | 171 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -4 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-6 z^4 a^{-2} +2 z^4 a^{-4} +6 z^4-2 a^2 z^2-5 z^2 a^{-2} +z^2 a^{-4} +5 z^2-2 a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +11 z^{10} a^{-2} +5 z^{10} a^{-4} +6 z^{10}+7 a z^9+11 z^9 a^{-1} +8 z^9 a^{-3} +4 z^9 a^{-5} +4 a^2 z^8-20 z^8 a^{-2} -6 z^8 a^{-4} +z^8 a^{-6} -9 z^8+a^3 z^7-21 a z^7-44 z^7 a^{-1} -23 z^7 a^{-3} -z^7 a^{-5} -13 a^2 z^6-z^6 a^{-2} +8 z^6 a^{-4} +8 z^6 a^{-6} -14 z^6-3 a^3 z^5+18 a z^5+40 z^5 a^{-1} +17 z^5 a^{-3} +3 z^5 a^{-5} +5 z^5 a^{-7} +13 a^2 z^4+13 z^4 a^{-2} -6 z^4 a^{-4} -6 z^4 a^{-6} +z^4 a^{-8} +25 z^4+2 a^3 z^3-6 a z^3-15 z^3 a^{-1} -7 z^3 a^{-3} -2 z^3 a^{-5} -2 z^3 a^{-7} -5 a^2 z^2-9 z^2 a^{-2} -z^2 a^{-4} +z^2 a^{-6} -12 z^2+a z+3 z a^{-1} +2 z a^{-3} +2 a^{-2} + a^{-4} +2 }[/math] |
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