K13n3427
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Polynomial invariants
| Jones polynomial | Data:K13n3427/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-8 t^3+24 t^2-39 t+45-39 t^{-1} +24 t^{-2} -8 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3427/Conway Polynomial |
| Determinant | 189 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-3 a^2 z^6-z^6 a^{-2} +4 z^6+3 a^4 z^4-10 a^2 z^4-3 z^4 a^{-2} +6 z^4-a^6 z^2+8 a^4 z^2-10 a^2 z^2-2 z^2 a^{-2} +z^2 a^{-4} +5 z^2-2 a^6+5 a^4-4 a^2+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+5 a^4 z^{10}+12 a^2 z^{10}+7 z^{10}+5 a^5 z^9+10 a^3 z^9+14 a z^9+9 z^9 a^{-1} +3 a^6 z^8-7 a^4 z^8-20 a^2 z^8+5 z^8 a^{-2} -5 z^8+a^7 z^7-13 a^5 z^7-37 a^3 z^7-35 a z^7-11 z^7 a^{-1} +z^7 a^{-3} -10 a^6 z^6-9 a^4 z^6-2 a^2 z^6+4 z^6 a^{-2} +z^6-4 a^7 z^5+8 a^5 z^5+32 a^3 z^5+20 a z^5+9 z^5 a^{-1} +9 z^5 a^{-3} +11 a^6 z^4+20 a^4 z^4+15 a^2 z^4-8 z^4 a^{-2} +3 z^4 a^{-4} -5 z^4+5 a^7 z^3+a^5 z^3-9 a^3 z^3-a z^3-3 z^3 a^{-1} -7 z^3 a^{-3} -6 a^6 z^2-16 a^4 z^2-13 a^2 z^2+2 z^2 a^{-2} -z^2 a^{-4} -2 a^7 z-2 a^5 z-a z-z a^{-1} +2 a^6+5 a^4+4 a^2+2 }[/math] |
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