K13n151
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Polynomial invariants
| Jones polynomial | Data:K13n151/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+7 t^3-4 t^2-10 t+19-10 t^{-1} -4 t^{-2} +7 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n151/Conway Polynomial |
| Determinant | 13 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -5 z^6 a^{-6} -6 z^6 a^{-8} +z^6 a^{-10} +5 z^4 a^{-4} -5 z^4 a^{-6} -9 z^4 a^{-8} +7 z^4 a^{-10} +6 z^2 a^{-4} -z^2 a^{-6} -6 z^2 a^{-8} +8 z^2 a^{-10} -2 z^2 a^{-12} +2 a^{-4} -2 a^{-8} +2 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +4 z^{10} a^{-8} +3 z^{10} a^{-10} +z^{10} a^{-12} +2 z^9 a^{-5} -3 z^9 a^{-7} -3 z^9 a^{-9} +5 z^9 a^{-11} +3 z^9 a^{-13} +z^8 a^{-4} -10 z^8 a^{-6} -27 z^8 a^{-8} -19 z^8 a^{-10} +3 z^8 a^{-14} -11 z^7 a^{-5} -10 z^7 a^{-7} -15 z^7 a^{-9} -29 z^7 a^{-11} -12 z^7 a^{-13} +z^7 a^{-15} -6 z^6 a^{-4} +9 z^6 a^{-6} +48 z^6 a^{-8} +29 z^6 a^{-10} -17 z^6 a^{-12} -13 z^6 a^{-14} +16 z^5 a^{-5} +28 z^5 a^{-7} +42 z^5 a^{-9} +43 z^5 a^{-11} +9 z^5 a^{-13} -4 z^5 a^{-15} +11 z^4 a^{-4} +2 z^4 a^{-6} -32 z^4 a^{-8} -17 z^4 a^{-10} +20 z^4 a^{-12} +14 z^4 a^{-14} -8 z^3 a^{-5} -21 z^3 a^{-7} -30 z^3 a^{-9} -24 z^3 a^{-11} -3 z^3 a^{-13} +4 z^3 a^{-15} -8 z^2 a^{-4} -3 z^2 a^{-6} +11 z^2 a^{-8} +7 z^2 a^{-10} -4 z^2 a^{-12} -5 z^2 a^{-14} +z a^{-5} +6 z a^{-7} +7 z a^{-9} +4 z a^{-11} +z a^{-13} -z a^{-15} +2 a^{-4} -2 a^{-8} -2 a^{-10} - a^{-12} }[/math] |
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