K13n218
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Polynomial invariants
| Jones polynomial | Data:K13n218/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+8 t^3-12 t^2+10 t-7+10 t^{-1} -12 t^{-2} +8 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n218/Conway Polynomial |
| Determinant | 71 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -5 z^6 a^{-6} -5 z^6 a^{-8} +z^6 a^{-10} +5 z^4 a^{-4} -7 z^4 a^{-6} -7 z^4 a^{-8} +5 z^4 a^{-10} +7 z^2 a^{-4} -4 z^2 a^{-6} -5 z^2 a^{-8} +5 z^2 a^{-10} -z^2 a^{-12} +3 a^{-4} - a^{-6} -2 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +6 z^{10} a^{-8} +4 z^{10} a^{-10} +2 z^9 a^{-5} +z^9 a^{-7} +4 z^9 a^{-9} +5 z^9 a^{-11} +z^8 a^{-4} -7 z^8 a^{-6} -28 z^8 a^{-8} -18 z^8 a^{-10} +2 z^8 a^{-12} -10 z^7 a^{-5} -22 z^7 a^{-7} -38 z^7 a^{-9} -26 z^7 a^{-11} -6 z^6 a^{-4} +38 z^6 a^{-8} +24 z^6 a^{-10} -8 z^6 a^{-12} +14 z^5 a^{-5} +39 z^5 a^{-7} +70 z^5 a^{-9} +46 z^5 a^{-11} +z^5 a^{-13} +12 z^4 a^{-4} +12 z^4 a^{-6} -23 z^4 a^{-8} -12 z^4 a^{-10} +11 z^4 a^{-12} -6 z^3 a^{-5} -27 z^3 a^{-7} -52 z^3 a^{-9} -31 z^3 a^{-11} -10 z^2 a^{-4} -8 z^2 a^{-6} +8 z^2 a^{-8} +2 z^2 a^{-10} -3 z^2 a^{-12} +z^2 a^{-14} +8 z a^{-7} +14 z a^{-9} +6 z a^{-11} +3 a^{-4} + a^{-6} -2 a^{-8} - a^{-10} }[/math] |
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