K13n2171
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Polynomial invariants
| Jones polynomial | Data:K13n2171/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+9 t^3-25 t^2+42 t-49+42 t^{-1} -25 t^{-2} +9 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2171/Conway Polynomial |
| Determinant | 203 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-8} +2 z^6 a^{-6} -3 z^6 a^{-8} +2 z^6 a^{-10} +7 z^4 a^{-6} -z^4 a^{-8} +4 z^4 a^{-10} -z^4 a^{-12} +7 z^2 a^{-6} +3 z^2 a^{-8} -2 z^2 a^{-10} -z^2 a^{-12} +2 a^{-6} +2 a^{-8} -4 a^{-10} + a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +2 z^{10} a^{-8} +8 z^{10} a^{-10} +6 z^{10} a^{-12} +z^9 a^{-7} +9 z^9 a^{-9} +22 z^9 a^{-11} +14 z^9 a^{-13} +3 z^8 a^{-8} +5 z^8 a^{-10} +19 z^8 a^{-12} +17 z^8 a^{-14} +3 z^7 a^{-7} -14 z^7 a^{-9} -38 z^7 a^{-11} -9 z^7 a^{-13} +12 z^7 a^{-15} +3 z^6 a^{-6} -12 z^6 a^{-8} -45 z^6 a^{-10} -59 z^6 a^{-12} -24 z^6 a^{-14} +5 z^6 a^{-16} -9 z^5 a^{-7} -11 z^5 a^{-9} -4 z^5 a^{-11} -17 z^5 a^{-13} -14 z^5 a^{-15} +z^5 a^{-17} -8 z^4 a^{-6} +9 z^4 a^{-8} +44 z^4 a^{-10} +41 z^4 a^{-12} +11 z^4 a^{-14} -3 z^4 a^{-16} +4 z^3 a^{-7} +23 z^3 a^{-9} +30 z^3 a^{-11} +16 z^3 a^{-13} +5 z^3 a^{-15} +7 z^2 a^{-6} -5 z^2 a^{-8} -17 z^2 a^{-10} -8 z^2 a^{-12} -3 z^2 a^{-14} -9 z a^{-9} -12 z a^{-11} -4 z a^{-13} -z a^{-15} -2 a^{-6} +2 a^{-8} +4 a^{-10} + a^{-12} }[/math] |
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