K13n3759
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Polynomial invariants
| Jones polynomial | Data:K13n3759/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+t^3+4 t^2-10 t+13-10 t^{-1} +4 t^{-2} + t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3759/Conway Polynomial |
| Determinant | 37 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^6 a^{-2} -8 z^6 a^{-4} +6 z^4 a^{-2} -21 z^4 a^{-4} +3 z^4 a^{-6} +2 z^4 a^{-8} +11 z^2 a^{-2} -23 z^2 a^{-4} +8 z^2 a^{-6} +4 z^2 a^{-8} -z^2 a^{-10} +6 a^{-2} -10 a^{-4} +5 a^{-6} + a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +3 z^{10} a^{-4} +2 z^{10} a^{-6} -8 z^9 a^{-3} -7 z^9 a^{-5} +2 z^9 a^{-7} +z^9 a^{-9} -9 z^8 a^{-2} -27 z^8 a^{-4} -17 z^8 a^{-6} +4 z^8 a^{-8} +3 z^8 a^{-10} +20 z^7 a^{-3} +9 z^7 a^{-5} -14 z^7 a^{-7} +z^7 a^{-9} +4 z^7 a^{-11} +29 z^6 a^{-2} +81 z^6 a^{-4} +45 z^6 a^{-6} -17 z^6 a^{-8} -7 z^6 a^{-10} +3 z^6 a^{-12} -17 z^5 a^{-3} +14 z^5 a^{-5} +34 z^5 a^{-7} -8 z^5 a^{-9} -10 z^5 a^{-11} +z^5 a^{-13} -42 z^4 a^{-2} -103 z^4 a^{-4} -45 z^4 a^{-6} +29 z^4 a^{-8} +6 z^4 a^{-10} -7 z^4 a^{-12} +z^3 a^{-3} -27 z^3 a^{-5} -26 z^3 a^{-7} +10 z^3 a^{-9} +6 z^3 a^{-11} -2 z^3 a^{-13} +27 z^2 a^{-2} +55 z^2 a^{-4} +21 z^2 a^{-6} -13 z^2 a^{-8} -4 z^2 a^{-10} +2 z^2 a^{-12} +2 z a^{-3} +8 z a^{-5} +7 z a^{-7} -z a^{-9} -2 z a^{-11} -6 a^{-2} -10 a^{-4} -5 a^{-6} + a^{-8} + a^{-10} }[/math] |
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