K13n3918
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Polynomial invariants
| Jones polynomial | Data:K13n3918/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-20 t^2+37 t-45+37 t^{-1} -20 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3918/Conway Polynomial |
| Determinant | 175 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^6 a^{-2} -4 z^6 a^{-4} +2 z^6 a^{-6} +2 z^4 a^{-2} -5 z^4 a^{-4} +6 z^4 a^{-6} -z^4 a^{-8} +z^2 a^{-2} +5 z^2 a^{-6} -2 z^2 a^{-8} +2 a^{-4} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +5 z^{10} a^{-4} +12 z^{10} a^{-6} +7 z^{10} a^{-8} +4 z^9 a^{-3} +9 z^9 a^{-5} +13 z^9 a^{-7} +8 z^9 a^{-9} +z^8 a^{-2} -6 z^8 a^{-4} -26 z^8 a^{-6} -15 z^8 a^{-8} +4 z^8 a^{-10} -z^7 a^{-3} -27 z^7 a^{-5} -53 z^7 a^{-7} -26 z^7 a^{-9} +z^7 a^{-11} +8 z^6 a^{-2} +11 z^6 a^{-4} +18 z^6 a^{-6} +3 z^6 a^{-8} -12 z^6 a^{-10} +5 z^5 a^{-1} +4 z^5 a^{-3} +26 z^5 a^{-5} +58 z^5 a^{-7} +28 z^5 a^{-9} -3 z^5 a^{-11} -6 z^4 a^{-2} -13 z^4 a^{-4} -15 z^4 a^{-6} +z^4 a^{-8} +10 z^4 a^{-10} +z^4-2 z^3 a^{-1} -3 z^3 a^{-3} -16 z^3 a^{-5} -32 z^3 a^{-7} -15 z^3 a^{-9} +2 z^3 a^{-11} +2 z^2 a^{-2} +3 z^2 a^{-4} +6 z^2 a^{-6} +3 z^2 a^{-8} -2 z^2 a^{-10} +z a^{-3} +3 z a^{-5} +7 z a^{-7} +5 z a^{-9} +2 a^{-4} - a^{-8} }[/math] |
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