K13n3854
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Polynomial invariants
| Jones polynomial | Data:K13n3854/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+5 t^3+5 t^2-22 t+31-22 t^{-1} +5 t^{-2} +5 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n3854/Conway Polynomial |
| Determinant | 65 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-6} -z^8 a^{-4} +8 z^8 a^{-6} -z^8 a^{-8} -6 z^6 a^{-4} +22 z^6 a^{-6} -8 z^6 a^{-8} -9 z^4 a^{-4} +29 z^4 a^{-6} -17 z^4 a^{-8} +2 z^4 a^{-10} -3 z^2 a^{-4} +18 z^2 a^{-6} -14 z^2 a^{-8} +3 z^2 a^{-10} + a^{-4} +3 a^{-6} -4 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +3 z^{10} a^{-4} +6 z^{10} a^{-6} +5 z^{10} a^{-8} +2 z^{10} a^{-10} +z^9 a^{-3} -12 z^9 a^{-5} -11 z^9 a^{-7} +8 z^9 a^{-9} +6 z^9 a^{-11} -21 z^8 a^{-4} -49 z^8 a^{-6} -34 z^8 a^{-8} +z^8 a^{-10} +7 z^8 a^{-12} -6 z^7 a^{-3} +10 z^7 a^{-5} -z^7 a^{-7} -37 z^7 a^{-9} -16 z^7 a^{-11} +4 z^7 a^{-13} +44 z^6 a^{-4} +115 z^6 a^{-6} +76 z^6 a^{-8} -16 z^6 a^{-10} -20 z^6 a^{-12} +z^6 a^{-14} +10 z^5 a^{-3} +23 z^5 a^{-5} +58 z^5 a^{-7} +65 z^5 a^{-9} +10 z^5 a^{-11} -10 z^5 a^{-13} -36 z^4 a^{-4} -96 z^4 a^{-6} -62 z^4 a^{-8} +13 z^4 a^{-10} +13 z^4 a^{-12} -2 z^4 a^{-14} -7 z^3 a^{-3} -29 z^3 a^{-5} -59 z^3 a^{-7} -48 z^3 a^{-9} -7 z^3 a^{-11} +4 z^3 a^{-13} +9 z^2 a^{-4} +30 z^2 a^{-6} +23 z^2 a^{-8} -z^2 a^{-10} -3 z^2 a^{-12} +2 z a^{-3} +7 z a^{-5} +15 z a^{-7} +13 z a^{-9} +3 z a^{-11} + a^{-4} -3 a^{-6} -4 a^{-8} - a^{-10} }[/math] |
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