K13n3136
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Polynomial invariants
| Jones polynomial | Data:K13n3136/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+17 t^2-37 t+47-37 t^{-1} +17 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3136/Conway Polynomial |
| Determinant | 161 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -2 z^6 a^{-8} +2 z^4 a^{-4} -6 z^4 a^{-8} +3 z^4 a^{-10} +4 z^2 a^{-4} +3 z^2 a^{-6} -8 z^2 a^{-8} +6 z^2 a^{-10} -z^2 a^{-12} +2 a^{-4} + a^{-6} -4 a^{-8} +3 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-9} +2 z^{11} a^{-11} +5 z^{10} a^{-8} +11 z^{10} a^{-10} +6 z^{10} a^{-12} +5 z^9 a^{-7} +6 z^9 a^{-9} +8 z^9 a^{-11} +7 z^9 a^{-13} +3 z^8 a^{-6} -9 z^8 a^{-8} -30 z^8 a^{-10} -14 z^8 a^{-12} +4 z^8 a^{-14} +z^7 a^{-5} -7 z^7 a^{-7} -23 z^7 a^{-9} -39 z^7 a^{-11} -23 z^7 a^{-13} +z^7 a^{-15} +17 z^6 a^{-8} +34 z^6 a^{-10} +4 z^6 a^{-12} -13 z^6 a^{-14} +3 z^5 a^{-5} +11 z^5 a^{-7} +29 z^5 a^{-9} +46 z^5 a^{-11} +22 z^5 a^{-13} -3 z^5 a^{-15} +3 z^4 a^{-4} -22 z^4 a^{-8} -29 z^4 a^{-10} +z^4 a^{-12} +11 z^4 a^{-14} -2 z^3 a^{-5} -7 z^3 a^{-7} -21 z^3 a^{-9} -27 z^3 a^{-11} -9 z^3 a^{-13} +2 z^3 a^{-15} -5 z^2 a^{-4} +2 z^2 a^{-6} +16 z^2 a^{-8} +13 z^2 a^{-10} +2 z^2 a^{-12} -2 z^2 a^{-14} -z a^{-5} +2 z a^{-7} +6 z a^{-9} +6 z a^{-11} +3 z a^{-13} +2 a^{-4} - a^{-6} -4 a^{-8} -3 a^{-10} - a^{-12} }[/math] |
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