K13a1443
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Polynomial invariants
| Jones polynomial | Data:K13a1443/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-10 t^3+40 t^2-88 t+115-88 t^{-1} +40 t^{-2} -10 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13a1443/Conway Polynomial |
| Determinant | 393 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-3 a^2 z^6-2 z^6 a^{-2} +3 z^6+3 a^4 z^4-6 a^2 z^4-4 z^4 a^{-2} +z^4 a^{-4} +6 z^4-a^6 z^2+3 a^4 z^2-5 a^2 z^2-3 z^2 a^{-2} +z^2 a^{-4} +3 z^2+a^4-a^2+ a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^2 z^{12}+3 z^{12}+9 a^3 z^{11}+20 a z^{11}+11 z^{11} a^{-1} +13 a^4 z^{10}+25 a^2 z^{10}+18 z^{10} a^{-2} +30 z^{10}+11 a^5 z^9+6 a^3 z^9-16 a z^9+7 z^9 a^{-1} +18 z^9 a^{-3} +5 a^6 z^8-19 a^4 z^8-55 a^2 z^8-22 z^8 a^{-2} +12 z^8 a^{-4} -65 z^8+a^7 z^7-26 a^5 z^7-50 a^3 z^7-30 a z^7-42 z^7 a^{-1} -30 z^7 a^{-3} +5 z^7 a^{-5} -12 a^6 z^6-10 a^4 z^6+13 a^2 z^6-20 z^6 a^{-4} +z^6 a^{-6} +32 z^6-2 a^7 z^5+20 a^5 z^5+43 a^3 z^5+29 a z^5+32 z^5 a^{-1} +17 z^5 a^{-3} -7 z^5 a^{-5} +10 a^6 z^4+25 a^4 z^4+21 a^2 z^4+12 z^4 a^{-2} +11 z^4 a^{-4} -z^4 a^{-6} +6 z^4+a^7 z^3-5 a^5 z^3-12 a^3 z^3-7 a z^3-5 z^3 a^{-1} -2 z^3 a^{-3} +2 z^3 a^{-5} -3 a^6 z^2-11 a^4 z^2-12 a^2 z^2-4 z^2 a^{-2} -2 z^2 a^{-4} -6 z^2+2 a^3 z+2 a z+a^4+a^2- a^{-2} }[/math] |
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