K13a3691
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Polynomial invariants
| Jones polynomial | Data:K13a3691/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 15 t^2-50 t+71-50 t^{-1} +15 t^{-2} }[/math] |
| Conway polynomial | Data:K13a3691/Conway Polynomial |
| Determinant | 201 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{-4} +4 z^4 a^{-6} +5 z^4 a^{-8} +4 z^4 a^{-10} +z^4 a^{-12} +5 z^2 a^{-6} +4 z^2 a^{-8} +4 z^2 a^{-10} -2 z^2 a^{-12} -z^2 a^{-14} +2 a^{-6} - a^{-8} +2 a^{-10} -2 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-12} +2 z^{12} a^{-14} +7 z^{11} a^{-11} +11 z^{11} a^{-13} +4 z^{11} a^{-15} +13 z^{10} a^{-10} +10 z^{10} a^{-12} +3 z^{10} a^{-16} +16 z^9 a^{-9} -9 z^9 a^{-11} -45 z^9 a^{-13} -19 z^9 a^{-15} +z^9 a^{-17} +17 z^8 a^{-8} -31 z^8 a^{-10} -66 z^8 a^{-12} -35 z^8 a^{-14} -17 z^8 a^{-16} +15 z^7 a^{-7} -29 z^7 a^{-9} -30 z^7 a^{-11} +44 z^7 a^{-13} +24 z^7 a^{-15} -6 z^7 a^{-17} +10 z^6 a^{-6} -25 z^6 a^{-8} +20 z^6 a^{-10} +95 z^6 a^{-12} +72 z^6 a^{-14} +32 z^6 a^{-16} +4 z^5 a^{-5} -18 z^5 a^{-7} +6 z^5 a^{-9} +51 z^5 a^{-11} +9 z^5 a^{-13} -2 z^5 a^{-15} +12 z^5 a^{-17} +z^4 a^{-4} -9 z^4 a^{-6} +4 z^4 a^{-8} -17 z^4 a^{-10} -50 z^4 a^{-12} -44 z^4 a^{-14} -25 z^4 a^{-16} +4 z^3 a^{-7} -26 z^3 a^{-11} -22 z^3 a^{-13} -10 z^3 a^{-15} -10 z^3 a^{-17} +5 z^2 a^{-6} +z^2 a^{-8} +11 z^2 a^{-10} +14 z^2 a^{-12} +6 z^2 a^{-14} +7 z^2 a^{-16} +z a^{-7} +z a^{-9} +6 z a^{-11} +6 z a^{-13} +3 z a^{-15} +3 z a^{-17} -2 a^{-6} - a^{-8} -2 a^{-10} -2 a^{-12} }[/math] |
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