K13n2742
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Polynomial invariants
| Jones polynomial | Data:K13n2742/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+11 t^2-28 t+39-28 t^{-1} +11 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2742/Conway Polynomial |
| Determinant | 121 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+a^2 z^4-2 z^4 a^{-2} +z^4 a^{-4} -z^4-a^2 z^2-3 z^2 a^{-2} +z^2 a^{-4} +z^2+a^4-2 a^2-2 a^{-2} + a^{-4} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+4 z^{10} a^{-2} +5 z^{10}-a z^9+6 z^9 a^{-1} +7 z^9 a^{-3} -3 a^2 z^8-3 z^8 a^{-2} +7 z^8 a^{-4} -13 z^8+a^3 z^7-a z^7-20 z^7 a^{-1} -14 z^7 a^{-3} +4 z^7 a^{-5} +9 a^2 z^6-11 z^6 a^{-2} -16 z^6 a^{-4} +z^6 a^{-6} +15 z^6+4 a^3 z^5+15 a z^5+22 z^5 a^{-1} +2 z^5 a^{-3} -9 z^5 a^{-5} +2 a^4 z^4-2 a^2 z^4+16 z^4 a^{-2} +7 z^4 a^{-4} -2 z^4 a^{-6} +3 z^4-8 a^3 z^3-14 a z^3-7 z^3 a^{-1} +3 z^3 a^{-3} +4 z^3 a^{-5} -3 a^4 z^2-6 a^2 z^2-9 z^2 a^{-2} -3 z^2 a^{-4} +z^2 a^{-6} -8 z^2+2 a^3 z+3 a z+z a^{-1} -z a^{-3} -z a^{-5} +a^4+2 a^2+2 a^{-2} + a^{-4} +3 }[/math] |
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