K13n3389
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Polynomial invariants
| Jones polynomial | Data:K13n3389/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-18 t^2+37 t-47+37 t^{-1} -18 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3389/Conway Polynomial |
| Determinant | 171 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+2 a^4 z^6-5 a^2 z^6+z^6-a^6 z^4+7 a^4 z^4-11 a^2 z^4+3 z^4-2 a^6 z^2+11 a^4 z^2-10 a^2 z^2+4 z^2-3 a^6+6 a^4-3 a^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+2 a^6 z^{10}+7 a^4 z^{10}+5 a^2 z^{10}+a^7 z^9+7 a^5 z^9+15 a^3 z^9+9 a z^9+a^6 z^8-2 a^4 z^8+5 a^2 z^8+8 z^8+3 a^7 z^7-12 a^5 z^7-33 a^3 z^7-14 a z^7+4 z^7 a^{-1} +4 a^8 z^6+a^6 z^6-15 a^4 z^6-29 a^2 z^6+z^6 a^{-2} -16 z^6+a^9 z^5-a^7 z^5+10 a^5 z^5+22 a^3 z^5+2 a z^5-8 z^5 a^{-1} -5 a^8 z^4+a^6 z^4+19 a^4 z^4+25 a^2 z^4-2 z^4 a^{-2} +10 z^4-2 a^9 z^3-a^7 z^3-5 a^3 z^3+a z^3+5 z^3 a^{-1} +a^8 z^2-4 a^6 z^2-11 a^4 z^2-11 a^2 z^2+z^2 a^{-2} -4 z^2+a^9 z-2 a^7 z-4 a^5 z-2 a^3 z-2 a z-z a^{-1} +3 a^6+6 a^4+3 a^2+1 }[/math] |
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