K13n3698
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Polynomial invariants
| Jones polynomial | Data:K13n3698/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-8 t^3+12 t^2-6 t+1-6 t^{-1} +12 t^{-2} -8 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3698/Conway Polynomial |
| Determinant | 57 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +z^8 a^{-4} +5 z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -z^6+7 z^4 a^{-2} +6 z^4 a^{-4} -5 z^4 a^{-6} -4 z^4+5 z^2 a^{-2} +3 z^2 a^{-4} -4 z^2 a^{-6} +z^2 a^{-8} -3 z^2+ a^{-2} + a^{-4} - a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +8 z^{10} a^{-2} +5 z^{10} a^{-4} +3 z^{10}+a z^9-8 z^9 a^{-1} -4 z^9 a^{-3} +5 z^9 a^{-5} -47 z^8 a^{-2} -25 z^8 a^{-4} +3 z^8 a^{-6} -19 z^8-6 a z^7-z^7 a^{-1} -21 z^7 a^{-3} -25 z^7 a^{-5} +z^7 a^{-7} +86 z^6 a^{-2} +31 z^6 a^{-4} -15 z^6 a^{-6} +40 z^6+12 a z^5+28 z^5 a^{-1} +51 z^5 a^{-3} +30 z^5 a^{-5} -5 z^5 a^{-7} -60 z^4 a^{-2} -10 z^4 a^{-4} +17 z^4 a^{-6} -33 z^4-9 a z^3-26 z^3 a^{-1} -31 z^3 a^{-3} -10 z^3 a^{-5} +4 z^3 a^{-7} +15 z^2 a^{-2} -z^2 a^{-4} -8 z^2 a^{-6} -z^2 a^{-8} +9 z^2+2 a z+6 z a^{-1} +6 z a^{-3} -2 z a^{-7} - a^{-2} + a^{-4} + a^{-6} }[/math] |
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