K13n2815
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Polynomial invariants
| Jones polynomial | Data:K13n2815/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-7 t^2+8 t-7+8 t^{-1} -7 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2815/Conway Polynomial |
| Determinant | 47 |
| 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+5 z^4 a^{-2} -12 z^4+4 a^2 z^2+7 z^2 a^{-2} -z^2 a^{-4} -10 z^2+a^2+3 a^{-2} - a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +4 a^2 z^{10}+3 z^{10} a^{-2} +7 z^{10}+3 a^3 z^9-7 a z^9-9 z^9 a^{-1} +z^9 a^{-3} +a^4 z^8-22 a^2 z^8-18 z^8 a^{-2} -41 z^8-16 a^3 z^7-4 a z^7+7 z^7 a^{-1} -5 z^7 a^{-3} -5 a^4 z^6+36 a^2 z^6+33 z^6 a^{-2} +74 z^6+24 a^3 z^5+21 a z^5+3 z^5 a^{-3} +6 a^4 z^4-25 a^2 z^4-30 z^4 a^{-2} -3 z^4 a^{-4} -58 z^4-12 a^3 z^3-13 a z^3+2 z^3 a^{-1} +2 z^3 a^{-3} -z^3 a^{-5} -a^4 z^2+8 a^2 z^2+15 z^2 a^{-2} +3 z^2 a^{-4} +21 z^2+a^3 z+a z-z a^{-1} -z a^{-3} -a^2-3 a^{-2} - a^{-4} -2 }[/math] |
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