K13a1062
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Polynomial invariants
| Jones polynomial | Data:K13a1062/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 14 t^2-47 t+67-47 t^{-1} +14 t^{-2} }[/math] |
| Conway polynomial | Data:K13a1062/Conway Polynomial |
| Determinant | 189 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{-4} +3 z^4 a^{-6} +5 z^4 a^{-8} +4 z^4 a^{-10} +z^4 a^{-12} +z^2 a^{-4} +3 z^2 a^{-6} +6 z^2 a^{-8} +3 z^2 a^{-10} -3 z^2 a^{-12} -z^2 a^{-14} + a^{-6} +2 a^{-8} -3 a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-12} +2 z^{12} a^{-14} +6 z^{11} a^{-11} +11 z^{11} a^{-13} +5 z^{11} a^{-15} +10 z^{10} a^{-10} +8 z^{10} a^{-12} +2 z^{10} a^{-14} +4 z^{10} a^{-16} +12 z^9 a^{-9} -7 z^9 a^{-11} -44 z^9 a^{-13} -24 z^9 a^{-15} +z^9 a^{-17} +12 z^8 a^{-8} -21 z^8 a^{-10} -55 z^8 a^{-12} -44 z^8 a^{-14} -22 z^8 a^{-16} +9 z^7 a^{-7} -24 z^7 a^{-9} -29 z^7 a^{-11} +41 z^7 a^{-13} +32 z^7 a^{-15} -5 z^7 a^{-17} +6 z^6 a^{-6} -23 z^6 a^{-8} +74 z^6 a^{-12} +84 z^6 a^{-14} +39 z^6 a^{-16} +3 z^5 a^{-5} -11 z^5 a^{-7} +7 z^5 a^{-9} +47 z^5 a^{-11} +13 z^5 a^{-13} -5 z^5 a^{-15} +8 z^5 a^{-17} +z^4 a^{-4} -6 z^4 a^{-6} +17 z^4 a^{-8} +10 z^4 a^{-10} -37 z^4 a^{-12} -47 z^4 a^{-14} -24 z^4 a^{-16} -2 z^3 a^{-5} +5 z^3 a^{-7} +4 z^3 a^{-9} -29 z^3 a^{-11} -32 z^3 a^{-13} -11 z^3 a^{-15} -5 z^3 a^{-17} -z^2 a^{-4} +4 z^2 a^{-6} -7 z^2 a^{-8} -5 z^2 a^{-10} +10 z^2 a^{-12} +6 z^2 a^{-14} +3 z^2 a^{-16} -2 z a^{-9} +8 z a^{-11} +14 z a^{-13} +5 z a^{-15} +z a^{-17} - a^{-6} +2 a^{-8} -3 a^{-12} - a^{-14} }[/math] |
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