K13n153
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Polynomial invariants
| Jones polynomial | Data:K13n153/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-17 t^2+43 t-57+43 t^{-1} -17 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n153/Conway Polynomial |
| Determinant | 183 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-4} +z^6 a^{-6} -4 z^4 a^{-2} +5 z^4 a^{-4} +z^4 a^{-6} -z^4 a^{-8} -7 z^2 a^{-2} +7 z^2 a^{-4} +z^2 a^{-6} -z^2 a^{-8} +2 z^2-4 a^{-2} +4 a^{-4} - a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +6 z^{10} a^{-4} +12 z^{10} a^{-6} +6 z^{10} a^{-8} +8 z^9 a^{-3} +13 z^9 a^{-5} +12 z^9 a^{-7} +7 z^9 a^{-9} +5 z^8 a^{-2} -3 z^8 a^{-4} -20 z^8 a^{-6} -8 z^8 a^{-8} +4 z^8 a^{-10} +z^7 a^{-1} -18 z^7 a^{-3} -41 z^7 a^{-5} -42 z^7 a^{-7} -19 z^7 a^{-9} +z^7 a^{-11} -9 z^6 a^{-2} -17 z^6 a^{-4} -7 z^6 a^{-6} -11 z^6 a^{-8} -12 z^6 a^{-10} +5 z^5 a^{-1} +28 z^5 a^{-3} +36 z^5 a^{-5} +29 z^5 a^{-7} +13 z^5 a^{-9} -3 z^5 a^{-11} +21 z^4 a^{-2} +36 z^4 a^{-4} +18 z^4 a^{-6} +11 z^4 a^{-8} +11 z^4 a^{-10} +3 z^4-7 z^3 a^{-1} -15 z^3 a^{-3} -9 z^3 a^{-5} -6 z^3 a^{-7} -2 z^3 a^{-9} +3 z^3 a^{-11} -18 z^2 a^{-2} -22 z^2 a^{-4} -7 z^2 a^{-6} -z^2 a^{-8} -3 z^2 a^{-10} -5 z^2+2 z a^{-1} +3 z a^{-3} -z a^{-11} +4 a^{-2} +4 a^{-4} - a^{-8} +2 }[/math] |
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