K13a3014
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Polynomial invariants
| Jones polynomial | Data:K13a3014/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+15 t^2-29 t+35-29 t^{-1} +15 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13a3014/Conway Polynomial |
| Determinant | 129 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} -3 z^4 a^{-4} -z^4 a^{-6} -2 z^4 a^{-8} +2 z^4 a^{-10} +3 z^2 a^{-2} -3 z^2 a^{-4} +2 z^2 a^{-6} -z^2 a^{-8} +4 z^2 a^{-10} -z^2 a^{-12} +2 a^{-2} -2 a^{-4} + a^{-6} + a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-8} +z^{12} a^{-10} +2 z^{11} a^{-7} +5 z^{11} a^{-9} +3 z^{11} a^{-11} +2 z^{10} a^{-6} -z^{10} a^{-8} +2 z^{10} a^{-10} +5 z^{10} a^{-12} +2 z^9 a^{-5} -7 z^9 a^{-7} -23 z^9 a^{-9} -9 z^9 a^{-11} +5 z^9 a^{-13} +2 z^8 a^{-4} -4 z^8 a^{-6} -5 z^8 a^{-8} -24 z^8 a^{-10} -22 z^8 a^{-12} +3 z^8 a^{-14} +2 z^7 a^{-3} -2 z^7 a^{-5} +15 z^7 a^{-7} +42 z^7 a^{-9} -22 z^7 a^{-13} +z^7 a^{-15} +z^6 a^{-2} -2 z^6 a^{-4} +6 z^6 a^{-6} +16 z^6 a^{-8} +51 z^6 a^{-10} +32 z^6 a^{-12} -12 z^6 a^{-14} -6 z^5 a^{-3} -2 z^5 a^{-5} -13 z^5 a^{-7} -31 z^5 a^{-9} +18 z^5 a^{-11} +28 z^5 a^{-13} -4 z^5 a^{-15} -4 z^4 a^{-2} -7 z^4 a^{-4} -7 z^4 a^{-6} -8 z^4 a^{-8} -39 z^4 a^{-10} -25 z^4 a^{-12} +10 z^4 a^{-14} +4 z^3 a^{-3} -z^3 a^{-5} +4 z^3 a^{-7} +12 z^3 a^{-9} -16 z^3 a^{-11} -16 z^3 a^{-13} +3 z^3 a^{-15} +5 z^2 a^{-2} +8 z^2 a^{-4} +3 z^2 a^{-6} +10 z^2 a^{-10} +9 z^2 a^{-12} -z^2 a^{-14} +z a^{-5} +z a^{-7} -z a^{-9} +3 z a^{-11} +4 z a^{-13} -2 a^{-2} -2 a^{-4} - a^{-6} - a^{-10} - a^{-12} }[/math] |
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