K13n3591
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Polynomial invariants
| Jones polynomial | Data:K13n3591/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+18 t^2-33 t+41-33 t^{-1} +18 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3591/Conway Polynomial |
| Determinant | 157 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+5 a^2 z^6-2 z^6-3 a^4 z^4+10 a^2 z^4+z^4 a^{-2} -6 z^4-3 a^4 z^2+8 a^2 z^2+z^2 a^{-2} -5 z^2-a^4+2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 a^3 z^{11}+4 a z^{11}+9 a^4 z^{10}+17 a^2 z^{10}+8 z^{10}+8 a^5 z^9-2 a^3 z^9-5 a z^9+5 z^9 a^{-1} +4 a^6 z^8-33 a^4 z^8-69 a^2 z^8+z^8 a^{-2} -31 z^8+a^7 z^7-29 a^5 z^7-33 a^3 z^7-14 a z^7-11 z^7 a^{-1} -13 a^6 z^6+37 a^4 z^6+102 a^2 z^6+7 z^6 a^{-2} +59 z^6-3 a^7 z^5+29 a^5 z^5+55 a^3 z^5+36 a z^5+18 z^5 a^{-1} +5 z^5 a^{-3} +8 a^6 z^4-21 a^4 z^4-66 a^2 z^4-10 z^4 a^{-2} +z^4 a^{-4} -48 z^4+a^7 z^3-13 a^5 z^3-28 a^3 z^3-22 a z^3-12 z^3 a^{-1} -4 z^3 a^{-3} -a^6 z^2+7 a^4 z^2+19 a^2 z^2+3 z^2 a^{-2} +14 z^2+2 a^5 z+4 a^3 z+3 a z+z a^{-1} -a^4-2 a^2 }[/math] |
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