K13n1739
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Polynomial invariants
| Jones polynomial | Data:K13n1739/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^2-5 t+7-5 t^{-1} +2 t^{-2} }[/math] |
| Conway polynomial | Data:K13n1739/Conway Polynomial |
| Determinant | 21 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} -z^6 a^{-4} +7 z^4 a^{-2} -5 z^4 a^{-4} +z^4 a^{-6} -z^4+14 z^2 a^{-2} -9 z^2 a^{-4} +2 z^2 a^{-6} -4 z^2+9 a^{-2} -6 a^{-4} + a^{-6} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +4 z^{10} a^{-4} +3 z^{10} a^{-6} -5 z^9 a^{-3} -2 z^9 a^{-5} +3 z^9 a^{-7} -8 z^8 a^{-2} -26 z^8 a^{-4} -17 z^8 a^{-6} +z^8 a^{-8} -z^7 a^{-1} +z^7 a^{-3} -15 z^7 a^{-5} -17 z^7 a^{-7} +21 z^6 a^{-2} +51 z^6 a^{-4} +26 z^6 a^{-6} -5 z^6 a^{-8} +z^6+a z^5+5 z^5 a^{-1} +18 z^5 a^{-3} +41 z^5 a^{-5} +27 z^5 a^{-7} -30 z^4 a^{-2} -43 z^4 a^{-4} -13 z^4 a^{-6} +6 z^4 a^{-8} -6 z^4-4 a z^3-14 z^3 a^{-1} -29 z^3 a^{-3} -33 z^3 a^{-5} -14 z^3 a^{-7} +22 z^2 a^{-2} +20 z^2 a^{-4} +4 z^2 a^{-6} -z^2 a^{-8} +7 z^2+3 a z+9 z a^{-1} +14 z a^{-3} +10 z a^{-5} +2 z a^{-7} -9 a^{-2} -6 a^{-4} - a^{-6} -3 }[/math] |
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