K13n2729
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Polynomial invariants
| Jones polynomial | Data:K13n2729/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-12 t^2+26 t-33+26 t^{-1} -12 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2729/Conway Polynomial |
| Determinant | 115 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} +2 z^6 a^{-6} -z^4 a^{-2} +3 z^4 a^{-4} +7 z^4 a^{-6} -3 z^4 a^{-8} -2 z^2 a^{-2} +5 z^2 a^{-4} +8 z^2 a^{-6} -7 z^2 a^{-8} +z^2 a^{-10} - a^{-2} +3 a^{-4} +2 a^{-6} -4 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +6 z^{10} a^{-6} +11 z^{10} a^{-8} +5 z^{10} a^{-10} +6 z^9 a^{-5} +6 z^9 a^{-7} +4 z^9 a^{-9} +4 z^9 a^{-11} +3 z^8 a^{-4} -21 z^8 a^{-6} -44 z^8 a^{-8} -19 z^8 a^{-10} +z^8 a^{-12} +z^7 a^{-3} -22 z^7 a^{-5} -53 z^7 a^{-7} -48 z^7 a^{-9} -18 z^7 a^{-11} -7 z^6 a^{-4} +23 z^6 a^{-6} +49 z^6 a^{-8} +15 z^6 a^{-10} -4 z^6 a^{-12} +31 z^5 a^{-5} +87 z^5 a^{-7} +81 z^5 a^{-9} +25 z^5 a^{-11} +3 z^4 a^{-2} +9 z^4 a^{-4} -16 z^4 a^{-6} -24 z^4 a^{-8} +3 z^4 a^{-10} +5 z^4 a^{-12} +z^3 a^{-1} +2 z^3 a^{-3} -20 z^3 a^{-5} -60 z^3 a^{-7} -52 z^3 a^{-9} -13 z^3 a^{-11} -3 z^2 a^{-2} -6 z^2 a^{-4} +8 z^2 a^{-6} +11 z^2 a^{-8} -2 z^2 a^{-10} -2 z^2 a^{-12} -z a^{-1} -z a^{-3} +4 z a^{-5} +15 z a^{-7} +14 z a^{-9} +3 z a^{-11} + a^{-2} +3 a^{-4} -2 a^{-6} -4 a^{-8} - a^{-10} }[/math] |
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