K13n3022
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Polynomial invariants
| Jones polynomial | Data:K13n3022/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 5 t^3-13 t^2+18 t-19+18 t^{-1} -13 t^{-2} +5 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3022/Conway Polynomial |
| Determinant | 91 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +2 z^6 a^{-8} +2 z^6 a^{-10} +4 z^4 a^{-6} +7 z^4 a^{-8} +8 z^4 a^{-10} -2 z^4 a^{-12} +4 z^2 a^{-6} +5 z^2 a^{-8} +9 z^2 a^{-10} -7 z^2 a^{-12} + a^{-6} +4 a^{-10} -5 a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-11} +z^{11} a^{-13} +3 z^{10} a^{-10} +5 z^{10} a^{-12} +2 z^{10} a^{-14} +3 z^9 a^{-9} +z^9 a^{-11} -z^9 a^{-13} +z^9 a^{-15} +3 z^8 a^{-8} -12 z^8 a^{-10} -24 z^8 a^{-12} -9 z^8 a^{-14} +2 z^7 a^{-7} -8 z^7 a^{-9} -15 z^7 a^{-11} -7 z^7 a^{-13} -2 z^7 a^{-15} +z^6 a^{-6} -9 z^6 a^{-8} +25 z^6 a^{-10} +54 z^6 a^{-12} +22 z^6 a^{-14} +3 z^6 a^{-16} -6 z^5 a^{-7} +6 z^5 a^{-9} +38 z^5 a^{-11} +30 z^5 a^{-13} +5 z^5 a^{-15} +z^5 a^{-17} -4 z^4 a^{-6} +7 z^4 a^{-8} -28 z^4 a^{-10} -53 z^4 a^{-12} -21 z^4 a^{-14} -7 z^4 a^{-16} +3 z^3 a^{-7} -2 z^3 a^{-9} -31 z^3 a^{-11} -31 z^3 a^{-13} -8 z^3 a^{-15} -3 z^3 a^{-17} +4 z^2 a^{-6} -3 z^2 a^{-8} +17 z^2 a^{-10} +27 z^2 a^{-12} +6 z^2 a^{-14} +3 z^2 a^{-16} +9 z a^{-11} +9 z a^{-13} +2 z a^{-15} +2 z a^{-17} - a^{-6} -4 a^{-10} -5 a^{-12} - a^{-14} }[/math] |
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