K13n3738
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Polynomial invariants
| Jones polynomial | Data:K13n3738/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+3 t^4-2 t^3-3 t^2+10 t-13+10 t^{-1} -3 t^{-2} -2 t^{-3} +3 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n3738/Conway Polynomial |
| Determinant | 27 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-8} +z^8 a^{-6} -9 z^8 a^{-8} +z^8 a^{-10} +8 z^6 a^{-6} -30 z^6 a^{-8} +9 z^6 a^{-10} +22 z^4 a^{-6} -50 z^4 a^{-8} +25 z^4 a^{-10} -2 z^4 a^{-12} +25 z^2 a^{-6} -45 z^2 a^{-8} +28 z^2 a^{-10} -5 z^2 a^{-12} +10 a^{-6} -18 a^{-8} +12 a^{-10} -3 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +z^{10} a^{-6} +4 z^{10} a^{-8} +3 z^{10} a^{-10} -7 z^9 a^{-7} -5 z^9 a^{-9} +3 z^9 a^{-11} +z^9 a^{-13} -9 z^8 a^{-6} -34 z^8 a^{-8} -26 z^8 a^{-10} +2 z^8 a^{-12} +3 z^8 a^{-14} +13 z^7 a^{-7} -7 z^7 a^{-9} -26 z^7 a^{-11} -2 z^7 a^{-13} +4 z^7 a^{-15} +30 z^6 a^{-6} +98 z^6 a^{-8} +69 z^6 a^{-10} -10 z^6 a^{-12} -8 z^6 a^{-14} +3 z^6 a^{-16} +z^5 a^{-7} +55 z^5 a^{-9} +68 z^5 a^{-11} +3 z^5 a^{-13} -10 z^5 a^{-15} +z^5 a^{-17} -47 z^4 a^{-6} -124 z^4 a^{-8} -73 z^4 a^{-10} +18 z^4 a^{-12} +7 z^4 a^{-14} -7 z^4 a^{-16} -20 z^3 a^{-7} -71 z^3 a^{-9} -62 z^3 a^{-11} -4 z^3 a^{-13} +5 z^3 a^{-15} -2 z^3 a^{-17} +35 z^2 a^{-6} +73 z^2 a^{-8} +39 z^2 a^{-10} -4 z^2 a^{-12} -3 z^2 a^{-14} +2 z^2 a^{-16} +12 z a^{-7} +27 z a^{-9} +20 z a^{-11} +4 z a^{-13} -z a^{-15} -10 a^{-6} -18 a^{-8} -12 a^{-10} -3 a^{-12} }[/math] |
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