K13n3734
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Polynomial invariants
| Jones polynomial | Data:K13n3734/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+5 t^3+3 t^2-17 t+25-17 t^{-1} +3 t^{-2} +5 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n3734/Conway Polynomial |
| Determinant | 45 |
| 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} +27 z^4 a^{-6} -17 z^4 a^{-8} +2 z^4 a^{-10} -z^2 a^{-4} +11 z^2 a^{-6} -12 z^2 a^{-8} +3 z^2 a^{-10} +4 a^{-4} -3 a^{-6} - 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} +4 z^{10} a^{-8} +z^{10} a^{-10} +z^9 a^{-3} -12 z^9 a^{-5} -13 z^9 a^{-7} +4 z^9 a^{-9} +4 z^9 a^{-11} -21 z^8 a^{-4} -47 z^8 a^{-6} -31 z^8 a^{-8} +z^8 a^{-10} +6 z^8 a^{-12} -6 z^7 a^{-3} +15 z^7 a^{-5} +14 z^7 a^{-7} -20 z^7 a^{-9} -9 z^7 a^{-11} +4 z^7 a^{-13} +46 z^6 a^{-4} +107 z^6 a^{-6} +72 z^6 a^{-8} -6 z^6 a^{-10} -16 z^6 a^{-12} +z^6 a^{-14} +10 z^5 a^{-3} +2 z^5 a^{-5} +11 z^5 a^{-7} +31 z^5 a^{-9} +2 z^5 a^{-11} -10 z^5 a^{-13} -39 z^4 a^{-4} -89 z^4 a^{-6} -64 z^4 a^{-8} -6 z^4 a^{-10} +6 z^4 a^{-12} -2 z^4 a^{-14} -5 z^3 a^{-3} -2 z^3 a^{-5} -z^3 a^{-7} -13 z^3 a^{-9} -5 z^3 a^{-11} +4 z^3 a^{-13} +7 z^2 a^{-4} +24 z^2 a^{-6} +27 z^2 a^{-8} +9 z^2 a^{-10} +z^2 a^{-14} -6 z a^{-5} -9 z a^{-7} -z a^{-9} +2 z a^{-11} +4 a^{-4} +3 a^{-6} - a^{-8} - a^{-10} }[/math] |
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