K13n5085
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Polynomial invariants
| Jones polynomial | Data:K13n5085/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-19 t^2+40 t-49+40 t^{-1} -19 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n5085/Conway Polynomial |
| Determinant | 175 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +2 z^6 a^{-4} +z^6 a^{-6} +z^4 a^{-2} +4 z^4 a^{-4} +2 z^4 a^{-6} -z^4 a^{-8} -z^4+z^2 a^{-2} +z^2 a^{-4} +2 z^2 a^{-6} -3 z^2 a^{-8} -z^2+2 a^{-2} - a^{-4} + a^{-6} -2 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +7 z^{10} a^{-4} +10 z^{10} a^{-6} +3 z^{10} a^{-8} +12 z^9 a^{-3} +11 z^9 a^{-5} +z^9 a^{-9} +12 z^8 a^{-2} -3 z^8 a^{-4} -22 z^8 a^{-6} -7 z^8 a^{-8} +8 z^7 a^{-1} -22 z^7 a^{-3} -32 z^7 a^{-5} +z^7 a^{-7} +3 z^7 a^{-9} -21 z^6 a^{-2} -17 z^6 a^{-4} +19 z^6 a^{-6} +14 z^6 a^{-8} +3 z^6 a^{-10} +4 z^6+a z^5-10 z^5 a^{-1} +17 z^5 a^{-3} +24 z^5 a^{-5} -18 z^5 a^{-7} -14 z^5 a^{-9} +15 z^4 a^{-2} +23 z^4 a^{-4} -14 z^4 a^{-6} -26 z^4 a^{-8} -9 z^4 a^{-10} -5 z^4-a z^3+2 z^3 a^{-1} -4 z^3 a^{-3} +20 z^3 a^{-7} +13 z^3 a^{-9} -3 z^2 a^{-2} -5 z^2 a^{-4} +7 z^2 a^{-6} +15 z^2 a^{-8} +7 z^2 a^{-10} +z^2+z a^{-3} -3 z a^{-5} -9 z a^{-7} -5 z a^{-9} -2 a^{-2} - a^{-4} - a^{-6} -2 a^{-8} - a^{-10} }[/math] |
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