K13n364
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Polynomial invariants
| Jones polynomial | Data:K13n364/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+4 t^4-9 t^3+15 t^2-18 t+19-18 t^{-1} +15 t^{-2} -9 t^{-3} +4 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n364/Conway Polynomial |
| Determinant | 113 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-4} +z^8 a^{-2} -8 z^8 a^{-4} +z^8 a^{-6} +6 z^6 a^{-2} -25 z^6 a^{-4} +7 z^6 a^{-6} +13 z^4 a^{-2} -39 z^4 a^{-4} +18 z^4 a^{-6} -z^4 a^{-8} +13 z^2 a^{-2} -30 z^2 a^{-4} +20 z^2 a^{-6} -3 z^2 a^{-8} +5 a^{-2} -9 a^{-4} +7 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +4 z^{10} a^{-2} +10 z^{10} a^{-4} +6 z^{10} a^{-6} +3 z^9 a^{-1} -z^9 a^{-3} +3 z^9 a^{-5} +7 z^9 a^{-7} -17 z^8 a^{-2} -44 z^8 a^{-4} -22 z^8 a^{-6} +4 z^8 a^{-8} +z^8-14 z^7 a^{-1} -22 z^7 a^{-3} -35 z^7 a^{-5} -26 z^7 a^{-7} +z^7 a^{-9} +22 z^6 a^{-2} +70 z^6 a^{-4} +35 z^6 a^{-6} -8 z^6 a^{-8} -5 z^6+20 z^5 a^{-1} +38 z^5 a^{-3} +57 z^5 a^{-5} +43 z^5 a^{-7} +4 z^5 a^{-9} -16 z^4 a^{-2} -69 z^4 a^{-4} -41 z^4 a^{-6} +8 z^4 a^{-8} +4 z^4 a^{-10} +8 z^4-10 z^3 a^{-1} -23 z^3 a^{-3} -42 z^3 a^{-5} -35 z^3 a^{-7} -5 z^3 a^{-9} +z^3 a^{-11} +13 z^2 a^{-2} +41 z^2 a^{-4} +26 z^2 a^{-6} -2 z^2 a^{-10} -4 z^2+2 z a^{-1} +7 z a^{-3} +11 z a^{-5} +9 z a^{-7} +3 z a^{-9} -5 a^{-2} -9 a^{-4} -7 a^{-6} -2 a^{-8} }[/math] |
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