K13n395
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Polynomial invariants
| Jones polynomial | Data:K13n395/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-21 t^2+38 t-45+38 t^{-1} -21 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n395/Conway Polynomial |
| Determinant | 179 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +3 z^6 a^{-2} -5 z^6 a^{-4} +z^6 a^{-6} +11 z^4 a^{-2} -11 z^4 a^{-4} +3 z^4 a^{-6} -2 z^4+13 z^2 a^{-2} -11 z^2 a^{-4} +3 z^2 a^{-6} -4 z^2+5 a^{-2} -4 a^{-4} + a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +7 z^{10} a^{-4} +4 z^{10} a^{-6} +3 z^9 a^{-1} +9 z^9 a^{-3} +13 z^9 a^{-5} +7 z^9 a^{-7} +z^8 a^{-2} +7 z^8 a^{-6} +7 z^8 a^{-8} +z^8+z^7 a^{-1} -9 z^7 a^{-3} -21 z^7 a^{-5} -7 z^7 a^{-7} +4 z^7 a^{-9} +7 z^6 a^{-2} -9 z^6 a^{-4} -25 z^6 a^{-6} -14 z^6 a^{-8} +z^6 a^{-10} +6 z^6+3 a z^5-2 z^5 a^{-1} -3 z^5 a^{-3} +4 z^5 a^{-5} -7 z^5 a^{-7} -9 z^5 a^{-9} -26 z^4 a^{-2} -7 z^4 a^{-4} +16 z^4 a^{-6} +8 z^4 a^{-8} -2 z^4 a^{-10} -13 z^4-4 a z^3-4 z^3 a^{-1} +3 z^3 a^{-5} +9 z^3 a^{-7} +6 z^3 a^{-9} +20 z^2 a^{-2} +13 z^2 a^{-4} -z^2 a^{-6} -z^2 a^{-8} +z^2 a^{-10} +8 z^2+a z+2 z a^{-1} +2 z a^{-3} -2 z a^{-7} -z a^{-9} -5 a^{-2} -4 a^{-4} - a^{-6} -1 }[/math] |
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