K13n166
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Polynomial invariants
| Jones polynomial | Data:K13n166/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-20 t^2+32 t-35+32 t^{-1} -20 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n166/Conway Polynomial |
| Determinant | 155 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +3 z^6-3 a^2 z^4-11 z^4 a^{-2} +4 z^4 a^{-4} +12 z^4+a^4 z^2-9 a^2 z^2-14 z^2 a^{-2} +6 z^2 a^{-4} -z^2 a^{-6} +16 z^2+2 a^4-6 a^2-7 a^{-2} +4 a^{-4} - a^{-6} +9 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+6 z^{10} a^{-2} +9 z^{10}+3 a^3 z^9+11 a z^9+21 z^9 a^{-1} +13 z^9 a^{-3} +a^4 z^8-6 a^2 z^8+5 z^8 a^{-2} +13 z^8 a^{-4} -15 z^8-14 a^3 z^7-57 a z^7-81 z^7 a^{-1} -32 z^7 a^{-3} +6 z^7 a^{-5} -5 a^4 z^6-13 a^2 z^6-61 z^6 a^{-2} -32 z^6 a^{-4} +z^6 a^{-6} -36 z^6+23 a^3 z^5+81 a z^5+89 z^5 a^{-1} +28 z^5 a^{-3} -3 z^5 a^{-5} +9 a^4 z^4+38 a^2 z^4+79 z^4 a^{-2} +38 z^4 a^{-4} +8 z^4 a^{-6} +78 z^4-16 a^3 z^3-45 a z^3-42 z^3 a^{-1} -14 z^3 a^{-3} +2 z^3 a^{-5} +3 z^3 a^{-7} -7 a^4 z^2-28 a^2 z^2-40 z^2 a^{-2} -21 z^2 a^{-4} -6 z^2 a^{-6} -46 z^2+4 a^3 z+9 a z+8 z a^{-1} +3 z a^{-3} -z a^{-5} -z a^{-7} +2 a^4+6 a^2+7 a^{-2} +4 a^{-4} + a^{-6} +9 }[/math] |
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