K13n850
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Polynomial invariants
| Jones polynomial | Data:K13n850/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+24 t^2-48 t+61-48 t^{-1} +24 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n850/Conway Polynomial |
| Determinant | 221 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-a^2 z^6-2 z^6 a^{-2} +4 z^6-a^2 z^4-5 z^4 a^{-2} +z^4 a^{-4} +7 z^4-a^4 z^2+a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} +4 z^2-a^4+2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +6 a^2 z^{10}+8 z^{10} a^{-2} +14 z^{10}+5 a^3 z^9+16 a z^9+24 z^9 a^{-1} +13 z^9 a^{-3} +a^4 z^8-9 a^2 z^8+6 z^8 a^{-2} +11 z^8 a^{-4} -15 z^8-9 a^3 z^7-47 a z^7-63 z^7 a^{-1} -20 z^7 a^{-3} +5 z^7 a^{-5} +6 a^4 z^6+17 a^2 z^6-44 z^6 a^{-2} -21 z^6 a^{-4} +z^6 a^{-6} -11 z^6+3 a^5 z^5+21 a^3 z^5+62 a z^5+55 z^5 a^{-1} +3 z^5 a^{-3} -8 z^5 a^{-5} -12 a^4 z^4-17 a^2 z^4+38 z^4 a^{-2} +12 z^4 a^{-4} -z^4 a^{-6} +20 z^4-6 a^5 z^3-24 a^3 z^3-40 a z^3-24 z^3 a^{-1} +z^3 a^{-3} +3 z^3 a^{-5} +6 a^4 z^2+7 a^2 z^2-10 z^2 a^{-2} -3 z^2 a^{-4} -6 z^2+3 a^5 z+8 a^3 z+9 a z+5 z a^{-1} +z a^{-3} -a^4-2 a^2 }[/math] |
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