K13n4027
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Polynomial invariants
| Jones polynomial | Data:K13n4027/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+22 t^2-43 t+55-43 t^{-1} +22 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4027/Conway Polynomial |
| Determinant | 201 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-2 a^2 z^6-z^6 a^{-2} +4 z^6+a^4 z^4-5 a^2 z^4-2 z^4 a^{-2} +6 z^4+a^4 z^2-3 a^2 z^2-2 z^2 a^{-2} +2 z^2+a^2- a^{-2} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +8 a^2 z^{10}+3 z^{10} a^{-2} +11 z^{10}+13 a^3 z^9+17 a z^9+5 z^9 a^{-1} +z^9 a^{-3} +11 a^4 z^8-a^2 z^8+z^8 a^{-2} -11 z^8+5 a^5 z^7-24 a^3 z^7-40 a z^7-2 z^7 a^{-1} +9 z^7 a^{-3} +a^6 z^6-22 a^4 z^6-26 a^2 z^6+3 z^6 a^{-2} +6 z^6 a^{-4} -6 z^6-8 a^5 z^5+9 a^3 z^5+23 a z^5-7 z^5 a^{-1} -12 z^5 a^{-3} +z^5 a^{-5} -a^6 z^4+11 a^4 z^4+23 a^2 z^4-5 z^4 a^{-2} -5 z^4 a^{-4} +11 z^4+2 a^5 z^3-a z^3+2 z^3 a^{-1} +z^3 a^{-3} -2 a^4 z^2-4 a^2 z^2-3 z^2 a^{-2} -2 z^2 a^{-4} -3 z^2+2 z a^{-1} +2 z a^{-3} -a^2+ a^{-2} + a^{-4} }[/math] |
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