K13n399
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Polynomial invariants
| Jones polynomial | Data:K13n399/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-13 t^2+30 t-37+30 t^{-1} -13 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n399/Conway Polynomial |
| Determinant | 127 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +z^4 a^{-2} +2 z^4 a^{-4} -z^4 a^{-6} -3 z^4+2 a^2 z^2+2 z^2 a^{-4} -z^2 a^{-6} -7 z^2+3 a^2+ a^{-2} + a^{-4} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +6 z^{10} a^{-2} +4 z^{10} a^{-4} +2 z^{10}+a z^9+2 z^9 a^{-1} +8 z^9 a^{-3} +7 z^9 a^{-5} -18 z^8 a^{-2} -3 z^8 a^{-4} +8 z^8 a^{-6} -7 z^8-a z^7-16 z^7 a^{-1} -35 z^7 a^{-3} -13 z^7 a^{-5} +7 z^7 a^{-7} +3 a^2 z^6+19 z^6 a^{-2} -10 z^6 a^{-4} -13 z^6 a^{-6} +4 z^6 a^{-8} +15 z^6-4 a z^5+29 z^5 a^{-1} +56 z^5 a^{-3} +11 z^5 a^{-5} -11 z^5 a^{-7} +z^5 a^{-9} -12 a^2 z^4-3 z^4 a^{-2} +23 z^4 a^{-4} +5 z^4 a^{-6} -6 z^4 a^{-8} -27 z^4+2 a z^3-24 z^3 a^{-1} -34 z^3 a^{-3} -5 z^3 a^{-5} +2 z^3 a^{-7} -z^3 a^{-9} +12 a^2 z^2-2 z^2 a^{-2} -11 z^2 a^{-4} -z^2 a^{-6} +z^2 a^{-8} +19 z^2+6 z a^{-1} +8 z a^{-3} +2 z a^{-5} -3 a^2- a^{-2} + a^{-4} -4 }[/math] |
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