K13n2052
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Polynomial invariants
| Jones polynomial | Data:K13n2052/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+15 t^2-33 t+43-33 t^{-1} +15 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2052/Conway Polynomial |
| Determinant | 145 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-2} -z^6+a^2 z^4-6 z^4 a^{-2} +3 z^4 a^{-4} -z^4+a^2 z^2-7 z^2 a^{-2} +6 z^2 a^{-4} -z^2 a^{-6} +z^2-3 a^{-2} +3 a^{-4} - a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +7 z^{10} a^{-2} +4 z^{10} a^{-4} +3 z^{10}+3 a z^9+9 z^9 a^{-1} +12 z^9 a^{-3} +6 z^9 a^{-5} +a^2 z^8-7 z^8 a^{-2} +4 z^8 a^{-6} -2 z^8-5 a z^7-29 z^7 a^{-1} -41 z^7 a^{-3} -16 z^7 a^{-5} +z^7 a^{-7} +3 a^2 z^6-22 z^6 a^{-2} -31 z^6 a^{-4} -13 z^6 a^{-6} -z^6+4 a^3 z^5+14 a z^5+34 z^5 a^{-1} +34 z^5 a^{-3} +7 z^5 a^{-5} -3 z^5 a^{-7} +a^4 z^4-a^2 z^4+34 z^4 a^{-2} +38 z^4 a^{-4} +13 z^4 a^{-6} +7 z^4-4 a^3 z^3-11 a z^3-19 z^3 a^{-1} -12 z^3 a^{-3} +3 z^3 a^{-5} +3 z^3 a^{-7} -a^4 z^2-18 z^2 a^{-2} -17 z^2 a^{-4} -5 z^2 a^{-6} -5 z^2+a^3 z+3 a z+4 z a^{-1} +2 z a^{-3} -z a^{-5} -z a^{-7} +3 a^{-2} +3 a^{-4} + a^{-6} +2 }[/math] |
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