K13n2842
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Polynomial invariants
| Jones polynomial | Data:K13n2842/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:K13n2842/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^4-6 a^2 z^4-z^4 a^{-2} +6 z^4+2 a^4 z^2-6 a^2 z^2+z^2 a^{-2} -z^2 a^{-4} +2 z^2+a^4-a^2+ a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +6 a^2 z^{10}+5 z^{10} a^{-2} +11 z^{10}+9 a^3 z^9+13 a z^9+8 z^9 a^{-1} +4 z^9 a^{-3} +8 a^4 z^8+3 a^2 z^8-5 z^8 a^{-2} +z^8 a^{-4} -11 z^8+4 a^5 z^7-12 a^3 z^7-24 a z^7-7 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6-16 a^4 z^6-24 a^2 z^6+14 z^6 a^{-2} +8 z^6 a^{-4} -z^6-8 a^5 z^5-a^3 z^5+3 a z^5-15 z^5 a^{-1} -8 z^5 a^{-3} +3 z^5 a^{-5} -2 a^6 z^4+11 a^4 z^4+21 a^2 z^4-25 z^4 a^{-2} -15 z^4 a^{-4} -2 z^4+5 a^5 z^3+5 a^3 z^3+10 a z^3+18 z^3 a^{-1} +5 z^3 a^{-3} -3 z^3 a^{-5} +a^6 z^2-4 a^4 z^2-8 a^2 z^2+12 z^2 a^{-2} +5 z^2 a^{-4} +4 z^2-a^5 z-2 a^3 z-4 a z-4 z a^{-1} -z a^{-3} +a^4+a^2- a^{-2} }[/math] |
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