K13n3712
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Polynomial invariants
| Jones polynomial | Data:K13n3712/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-11 t^3+27 t^2-37 t+39-37 t^{-1} +27 t^{-2} -11 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3712/Conway Polynomial |
| Determinant | 193 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -z^6 a^{-2} +3 z^6 a^{-4} +4 z^6 a^{-6} -z^6 a^{-8} -2 z^4 a^{-2} +z^4 a^{-4} +6 z^4 a^{-6} -4 z^4 a^{-8} +z^2 a^{-2} -z^2 a^{-4} +7 z^2 a^{-6} -4 z^2 a^{-8} +z^2 a^{-10} + a^{-2} - a^{-4} +3 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 z^{11} a^{-5} +4 z^{11} a^{-7} +10 z^{10} a^{-4} +19 z^{10} a^{-6} +9 z^{10} a^{-8} +10 z^9 a^{-3} +6 z^9 a^{-5} +3 z^9 a^{-7} +7 z^9 a^{-9} +5 z^8 a^{-2} -27 z^8 a^{-4} -60 z^8 a^{-6} -26 z^8 a^{-8} +2 z^8 a^{-10} +z^7 a^{-1} -31 z^7 a^{-3} -46 z^7 a^{-5} -28 z^7 a^{-7} -14 z^7 a^{-9} -14 z^6 a^{-2} +17 z^6 a^{-4} +72 z^6 a^{-6} +47 z^6 a^{-8} +6 z^6 a^{-10} -2 z^5 a^{-1} +25 z^5 a^{-3} +49 z^5 a^{-5} +40 z^5 a^{-7} +24 z^5 a^{-9} +6 z^5 a^{-11} +8 z^4 a^{-2} -6 z^4 a^{-4} -49 z^4 a^{-6} -42 z^4 a^{-8} -6 z^4 a^{-10} +z^4 a^{-12} -5 z^3 a^{-3} -17 z^3 a^{-5} -25 z^3 a^{-7} -16 z^3 a^{-9} -3 z^3 a^{-11} +z^2 a^{-2} +5 z^2 a^{-4} +18 z^2 a^{-6} +16 z^2 a^{-8} +2 z^2 a^{-10} +z a^{-5} +5 z a^{-7} +3 z a^{-9} -z a^{-11} - a^{-2} - a^{-4} -3 a^{-6} -2 a^{-8} }[/math] |
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