K13n2591
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Polynomial invariants
| Jones polynomial | Data:K13n2591/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-18 t^2+34 t-41+34 t^{-1} -18 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2591/Conway Polynomial |
| Determinant | 159 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+a^4 z^6-5 a^2 z^6+2 z^6+3 a^4 z^4-10 a^2 z^4-z^4 a^{-2} +6 z^4+3 a^4 z^2-7 a^2 z^2-z^2 a^{-2} +5 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+4 a^4 z^{10}+11 a^2 z^{10}+7 z^{10}+3 a^5 z^9+5 a^3 z^9+11 a z^9+9 z^9 a^{-1} +a^6 z^8-7 a^4 z^8-26 a^2 z^8+5 z^8 a^{-2} -13 z^8-4 a^5 z^7-23 a^3 z^7-47 a z^7-27 z^7 a^{-1} +z^7 a^{-3} +3 a^6 z^6+9 a^4 z^6+10 a^2 z^6-14 z^6 a^{-2} -10 z^6+4 a^7 z^5+11 a^5 z^5+28 a^3 z^5+41 a z^5+18 z^5 a^{-1} -2 z^5 a^{-3} +a^8 z^4-a^6 z^4-2 a^4 z^4+9 a^2 z^4+9 z^4 a^{-2} +18 z^4-4 a^7 z^3-9 a^5 z^3-14 a^3 z^3-11 a z^3-z^3 a^{-1} +z^3 a^{-3} -a^8 z^2-a^4 z^2-7 a^2 z^2-z^2 a^{-2} -6 z^2+a^7 z+3 a^5 z+3 a^3 z+a z+1 }[/math] |
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