K13n3458
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Polynomial invariants
| Jones polynomial | Data:K13n3458/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-16 t^2+28 t-33+28 t^{-1} -16 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3458/Conway Polynomial |
| Determinant | 135 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^6 a^{-2} -5 z^6 a^{-4} +2 z^6 a^{-6} +3 z^4 a^{-2} -10 z^4 a^{-4} +8 z^4 a^{-6} -z^4 a^{-8} +4 z^2 a^{-2} -10 z^2 a^{-4} +11 z^2 a^{-6} -3 z^2 a^{-8} +3 a^{-2} -5 a^{-4} +5 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +3 z^{10} a^{-4} +7 z^{10} a^{-6} +4 z^{10} a^{-8} +3 z^9 a^{-3} +7 z^9 a^{-5} +9 z^9 a^{-7} +5 z^9 a^{-9} +z^8 a^{-2} -3 z^8 a^{-4} -16 z^8 a^{-6} -9 z^8 a^{-8} +3 z^8 a^{-10} -3 z^7 a^{-3} -21 z^7 a^{-5} -37 z^7 a^{-7} -18 z^7 a^{-9} +z^7 a^{-11} +4 z^6 a^{-2} +6 z^6 a^{-4} +17 z^6 a^{-6} +4 z^6 a^{-8} -11 z^6 a^{-10} +4 z^5 a^{-1} +6 z^5 a^{-3} +23 z^5 a^{-5} +48 z^5 a^{-7} +23 z^5 a^{-9} -4 z^5 a^{-11} -3 z^4 a^{-2} -12 z^4 a^{-4} -24 z^4 a^{-6} -4 z^4 a^{-8} +12 z^4 a^{-10} +z^4-3 z^3 a^{-1} -2 z^3 a^{-3} -14 z^3 a^{-5} -35 z^3 a^{-7} -16 z^3 a^{-9} +4 z^3 a^{-11} +3 z^2 a^{-2} +15 z^2 a^{-4} +18 z^2 a^{-6} +3 z^2 a^{-8} -4 z^2 a^{-10} -z^2+z a^{-3} +5 z a^{-5} +9 z a^{-7} +5 z a^{-9} -3 a^{-2} -5 a^{-4} -5 a^{-6} -2 a^{-8} }[/math] |
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