K13n2846
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Polynomial invariants
| Jones polynomial | Data:K13n2846/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+2 t^3+t^2-6 t+9-6 t^{-1} + t^{-2} +2 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2846/Conway Polynomial |
| Determinant | 17 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+z^6 a^{-2} -7 z^6+2 a^4 z^4+2 a^2 z^4+5 z^4 a^{-2} -16 z^4-a^6 z^2+5 a^4 z^2+5 a^2 z^2+7 z^2 a^{-2} -16 z^2-2 a^6+3 a^4+3 a^2+3 a^{-2} -6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+2 z^{10} a^{-2} +3 z^{10}+a^5 z^9-8 a z^9-5 z^9 a^{-1} +2 z^9 a^{-3} +2 a^6 z^8+4 a^4 z^8-9 a^2 z^8-12 z^8 a^{-2} +z^8 a^{-4} -24 z^8+a^7 z^7+5 a^3 z^7+19 a z^7+z^7 a^{-1} -12 z^7 a^{-3} -9 a^6 z^6-15 a^4 z^6+28 a^2 z^6+19 z^6 a^{-2} -6 z^6 a^{-4} +59 z^6-5 a^7 z^5-14 a^5 z^5-21 a^3 z^5-20 a z^5+12 z^5 a^{-1} +20 z^5 a^{-3} +12 a^6 z^4+12 a^4 z^4-41 a^2 z^4-12 z^4 a^{-2} +10 z^4 a^{-4} -63 z^4+8 a^7 z^3+21 a^5 z^3+20 a^3 z^3+10 a z^3-9 z^3 a^{-1} -12 z^3 a^{-3} -6 a^6 z^2-5 a^4 z^2+21 a^2 z^2+8 z^2 a^{-2} -5 z^2 a^{-4} +33 z^2-4 a^7 z-8 a^5 z-7 a^3 z-3 a z+3 z a^{-1} +3 z a^{-3} +2 a^6+3 a^4-3 a^2-3 a^{-2} -6 }[/math] |
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