K13n26
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Polynomial invariants
| Jones polynomial | Data:K13n26/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+2 t^3+6 t^2-23 t+33-23 t^{-1} +6 t^{-2} +2 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n26/Conway Polynomial |
| Determinant | 85 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -7 z^6 a^{-6} +6 z^4 a^{-4} -14 z^4 a^{-6} +4 z^4 a^{-8} +2 z^4 a^{-10} +9 z^2 a^{-4} -13 z^2 a^{-6} +7 z^2 a^{-8} +z^2 a^{-10} -z^2 a^{-12} +4 a^{-4} -5 a^{-6} +3 a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +2 z^{10} a^{-8} +6 z^{10} a^{-10} +4 z^{10} a^{-12} +z^9 a^{-5} +z^9 a^{-7} +z^9 a^{-9} +7 z^9 a^{-11} +6 z^9 a^{-13} +z^8 a^{-4} +z^8 a^{-6} -11 z^8 a^{-8} -23 z^8 a^{-10} -8 z^8 a^{-12} +4 z^8 a^{-14} -7 z^7 a^{-5} -11 z^7 a^{-7} -23 z^7 a^{-9} -41 z^7 a^{-11} -21 z^7 a^{-13} +z^7 a^{-15} -7 z^6 a^{-4} -13 z^6 a^{-6} +14 z^6 a^{-8} +23 z^6 a^{-10} -11 z^6 a^{-12} -14 z^6 a^{-14} +12 z^5 a^{-5} +27 z^5 a^{-7} +50 z^5 a^{-9} +56 z^5 a^{-11} +18 z^5 a^{-13} -3 z^5 a^{-15} +15 z^4 a^{-4} +31 z^4 a^{-6} +8 z^4 a^{-8} -3 z^4 a^{-10} +17 z^4 a^{-12} +12 z^4 a^{-14} -6 z^3 a^{-5} -19 z^3 a^{-7} -35 z^3 a^{-9} -32 z^3 a^{-11} -8 z^3 a^{-13} +2 z^3 a^{-15} -13 z^2 a^{-4} -23 z^2 a^{-6} -12 z^2 a^{-8} -4 z^2 a^{-10} -5 z^2 a^{-12} -3 z^2 a^{-14} +5 z a^{-7} +9 z a^{-9} +6 z a^{-11} +2 z a^{-13} +4 a^{-4} +5 a^{-6} +3 a^{-8} + a^{-10} }[/math] |
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