K13n3862
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Polynomial invariants
| Jones polynomial | Data:K13n3862/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+2 t^3+2 t^2-10 t+15-10 t^{-1} +2 t^{-2} +2 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3862/Conway Polynomial |
| Determinant | 33 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6-7 z^6+5 a^2 z^4+3 z^4 a^{-2} +2 z^4 a^{-4} -16 z^4+7 a^2 z^2+8 z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-6} -17 z^2+3 a^2+6 a^{-2} - a^{-6} -7 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+2 z^{10} a^{-2} +z^{10} a^{-4} +3 z^{10}+2 a^3 z^9-5 a z^9-6 z^9 a^{-1} +4 z^9 a^{-3} +3 z^9 a^{-5} +a^4 z^8-12 a^2 z^8-12 z^8 a^{-2} +2 z^8 a^{-4} +3 z^8 a^{-6} -24 z^8-12 a^3 z^7-a z^7+5 z^7 a^{-1} -16 z^7 a^{-3} -9 z^7 a^{-5} +z^7 a^{-7} -6 a^4 z^6+18 a^2 z^6+23 z^6 a^{-2} -20 z^6 a^{-4} -12 z^6 a^{-6} +55 z^6+20 a^3 z^5+19 a z^5+9 z^5 a^{-1} +14 z^5 a^{-3} -4 z^5 a^{-7} +10 a^4 z^4-10 a^2 z^4-26 z^4 a^{-2} +20 z^4 a^{-4} +13 z^4 a^{-6} -53 z^4-13 a^3 z^3-19 a z^3-14 z^3 a^{-1} -6 z^3 a^{-3} +7 z^3 a^{-5} +5 z^3 a^{-7} -5 a^4 z^2+6 a^2 z^2+17 z^2 a^{-2} -5 z^2 a^{-4} -5 z^2 a^{-6} +28 z^2+4 a^3 z+8 a z+6 z a^{-1} +2 z a^{-3} -2 z a^{-5} -2 z a^{-7} -3 a^2-6 a^{-2} + a^{-6} -7 }[/math] |
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