K13n116
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Polynomial invariants
| Jones polynomial | Data:K13n116/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t+5-2 t^{-1} }[/math] |
| Conway polynomial | Data:K13n116/Conway Polynomial |
| Determinant | 9 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} +z^6-2 a^2 z^4-5 z^4 a^{-2} +2 z^4 a^{-4} +5 z^4+a^4 z^2-5 a^2 z^2-9 z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-6} +8 z^2+a^4-3 a^2-5 a^{-2} +2 a^{-4} +6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+4 z^{10} a^{-2} +2 z^{10} a^{-4} +5 z^{10}+3 a^3 z^9+a z^9+z^9 a^{-1} +8 z^9 a^{-3} +5 z^9 a^{-5} +a^4 z^8-14 a^2 z^8-23 z^8 a^{-2} -4 z^8 a^{-4} +4 z^8 a^{-6} -30 z^8-16 a^3 z^7-34 a z^7-44 z^7 a^{-1} -49 z^7 a^{-3} -22 z^7 a^{-5} +z^7 a^{-7} -5 a^4 z^6+10 a^2 z^6+18 z^6 a^{-2} -18 z^6 a^{-4} -16 z^6 a^{-6} +35 z^6+24 a^3 z^5+68 a z^5+95 z^5 a^{-1} +76 z^5 a^{-3} +22 z^5 a^{-5} -3 z^5 a^{-7} +7 a^4 z^4+8 a^2 z^4+20 z^4 a^{-2} +29 z^4 a^{-4} +13 z^4 a^{-6} +5 z^4-15 a^3 z^3-45 a z^3-61 z^3 a^{-1} -41 z^3 a^{-3} -9 z^3 a^{-5} +z^3 a^{-7} -4 a^4 z^2-11 a^2 z^2-20 z^2 a^{-2} -12 z^2 a^{-4} -2 z^2 a^{-6} -17 z^2+3 a^3 z+9 a z+11 z a^{-1} +5 z a^{-3} +a^4+3 a^2+5 a^{-2} +2 a^{-4} +6 }[/math] |
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