K13n1172
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Polynomial invariants
| Jones polynomial | Data:K13n1172/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-7 t^3+11 t^2-8 t+5-8 t^{-1} +11 t^{-2} -7 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1172/Conway Polynomial |
| Determinant | 61 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -z^6 a^{-2} +5 z^6 a^{-4} +6 z^6 a^{-6} -z^6 a^{-8} -4 z^4 a^{-2} +7 z^4 a^{-4} +12 z^4 a^{-6} -6 z^4 a^{-8} -3 z^2 a^{-2} +4 z^2 a^{-4} +12 z^2 a^{-6} -9 z^2 a^{-8} +z^2 a^{-10} +5 a^{-6} -5 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +3 z^{10} a^{-4} +5 z^{10} a^{-6} +2 z^{10} a^{-8} +4 z^9 a^{-3} +z^9 a^{-5} -2 z^9 a^{-7} +z^9 a^{-9} +3 z^8 a^{-2} -11 z^8 a^{-4} -27 z^8 a^{-6} -13 z^8 a^{-8} +z^7 a^{-1} -17 z^7 a^{-3} -22 z^7 a^{-5} -11 z^7 a^{-7} -7 z^7 a^{-9} -13 z^6 a^{-2} +6 z^6 a^{-4} +50 z^6 a^{-6} +31 z^6 a^{-8} -4 z^5 a^{-1} +18 z^5 a^{-3} +41 z^5 a^{-5} +37 z^5 a^{-7} +18 z^5 a^{-9} +14 z^4 a^{-2} +3 z^4 a^{-4} -44 z^4 a^{-6} -33 z^4 a^{-8} +3 z^3 a^{-1} -8 z^3 a^{-3} -28 z^3 a^{-5} -35 z^3 a^{-7} -18 z^3 a^{-9} -5 z^2 a^{-2} -2 z^2 a^{-4} +22 z^2 a^{-6} +20 z^2 a^{-8} +z^2 a^{-10} +2 z a^{-3} +6 z a^{-5} +11 z a^{-7} +7 z a^{-9} -5 a^{-6} -5 a^{-8} - a^{-10} }[/math] |
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