K13n3244
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Polynomial invariants
| Jones polynomial | Data:K13n3244/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+2 t^3-2 t^2+3 t-3+3 t^{-1} -2 t^{-2} +2 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3244/Conway Polynomial |
| Determinant | 19 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} -7 z^6 a^{-4} +z^6 a^{-6} -16 z^4 a^{-4} +5 z^4 a^{-6} +z^4-13 z^2 a^{-4} +7 z^2 a^{-6} +3 z^2-3 a^{-4} +2 a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-1} +z^9 a^{-3} +2 z^9 a^{-5} +2 z^9 a^{-7} +z^8 a^{-2} -8 z^8 a^{-4} -6 z^8 a^{-6} +2 z^8 a^{-8} +z^8-7 z^7 a^{-1} -8 z^7 a^{-3} -14 z^7 a^{-5} -11 z^7 a^{-7} +2 z^7 a^{-9} -8 z^6 a^{-2} +21 z^6 a^{-4} +13 z^6 a^{-6} -8 z^6 a^{-8} +z^6 a^{-10} -7 z^6+14 z^5 a^{-1} +17 z^5 a^{-3} +32 z^5 a^{-5} +21 z^5 a^{-7} -8 z^5 a^{-9} +15 z^4 a^{-2} -25 z^4 a^{-4} -14 z^4 a^{-6} +7 z^4 a^{-8} -4 z^4 a^{-10} +15 z^4-9 z^3 a^{-1} -12 z^3 a^{-3} -28 z^3 a^{-5} -19 z^3 a^{-7} +6 z^3 a^{-9} -7 z^2 a^{-2} +16 z^2 a^{-4} +7 z^2 a^{-6} -2 z^2 a^{-8} +3 z^2 a^{-10} -11 z^2+z a^{-1} +4 z a^{-3} +8 z a^{-5} +5 z a^{-7} -3 a^{-4} -2 a^{-6} +2 }[/math] |
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