K13n3040
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Polynomial invariants
| Jones polynomial | Data:K13n3040/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-8 t^2+11 t-11+11 t^{-1} -8 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3040/Conway Polynomial |
| Determinant | 59 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6+z^6 a^{-2} -6 z^6+4 a^2 z^4+4 z^4 a^{-2} -12 z^4+4 a^2 z^2+4 z^2 a^{-2} -9 z^2+a^2+ a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+3 z^{10} a^{-2} +4 z^{10}-4 a z^9-z^9 a^{-1} +3 z^9 a^{-3} -4 a^2 z^8-15 z^8 a^{-2} +z^8 a^{-4} -20 z^8+3 a^3 z^7+8 a z^7-11 z^7 a^{-1} -16 z^7 a^{-3} +a^4 z^6+10 a^2 z^6+22 z^6 a^{-2} -5 z^6 a^{-4} +36 z^6-8 a^3 z^5-13 a z^5+20 z^5 a^{-1} +25 z^5 a^{-3} -17 a^2 z^4-12 z^4 a^{-2} +7 z^4 a^{-4} -36 z^4+3 a^5 z^3+7 a^3 z^3+5 a z^3-10 z^3 a^{-1} -11 z^3 a^{-3} +a^6 z^2+a^4 z^2+8 a^2 z^2+5 z^2 a^{-2} -2 z^2 a^{-4} +15 z^2-a^5 z-2 a^3 z-a z+z a^{-1} +z a^{-3} -a^2- a^{-2} -1 }[/math] |
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