K13n4083
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Polynomial invariants
| Jones polynomial | Data:K13n4083/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-7 t^2+20 t-27+20 t^{-1} -7 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n4083/Conway Polynomial |
| Determinant | 83 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} -z^4 a^{-2} -3 z^4 a^{-4} +4 z^4 a^{-6} -z^4 a^{-8} -6 z^2 a^{-4} +8 z^2 a^{-6} -2 z^2 a^{-8} +z^2+ a^{-2} -4 a^{-4} +5 a^{-6} -2 a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +3 z^{10} a^{-4} +8 z^{10} a^{-6} +5 z^{10} a^{-8} +z^9 a^{-3} -7 z^9 a^{-5} -3 z^9 a^{-7} +5 z^9 a^{-9} -16 z^8 a^{-4} -42 z^8 a^{-6} -23 z^8 a^{-8} +3 z^8 a^{-10} -2 z^7 a^{-3} +3 z^7 a^{-5} -18 z^7 a^{-7} -22 z^7 a^{-9} +z^7 a^{-11} +3 z^6 a^{-2} +35 z^6 a^{-4} +77 z^6 a^{-6} +33 z^6 a^{-8} -12 z^6 a^{-10} +2 z^5 a^{-1} +2 z^5 a^{-3} +11 z^5 a^{-5} +42 z^5 a^{-7} +27 z^5 a^{-9} -4 z^5 a^{-11} -5 z^4 a^{-2} -35 z^4 a^{-4} -64 z^4 a^{-6} -25 z^4 a^{-8} +10 z^4 a^{-10} +z^4-3 z^3 a^{-1} +z^3 a^{-3} -7 z^3 a^{-5} -30 z^3 a^{-7} -16 z^3 a^{-9} +3 z^3 a^{-11} +2 z^2 a^{-2} +20 z^2 a^{-4} +28 z^2 a^{-6} +10 z^2 a^{-8} -2 z^2 a^{-10} -2 z^2-z a^{-3} +z a^{-5} +6 z a^{-7} +4 z a^{-9} - a^{-2} -4 a^{-4} -5 a^{-6} -2 a^{-8} +1 }[/math] |
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