K13n2907
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Polynomial invariants
| Jones polynomial | Data:K13n2907/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+17 t^2-28 t+31-28 t^{-1} +17 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2907/Conway Polynomial |
| Determinant | 129 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -2 z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} -z^4 a^{-4} -5 z^4 a^{-6} -3 z^4 a^{-8} +z^4 a^{-10} +2 z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-6} -4 z^2 a^{-8} +4 z^2 a^{-10} +2 a^{-4} + a^{-6} -4 a^{-8} +3 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +5 z^{10} a^{-8} +2 z^{10} a^{-10} +5 z^9 a^{-5} +4 z^9 a^{-7} +z^9 a^{-11} +5 z^8 a^{-4} -z^8 a^{-6} -12 z^8 a^{-8} -6 z^8 a^{-10} +3 z^7 a^{-3} -10 z^7 a^{-5} -7 z^7 a^{-7} +7 z^7 a^{-9} +z^7 a^{-11} +z^6 a^{-2} -13 z^6 a^{-4} -5 z^6 a^{-6} +29 z^6 a^{-8} +24 z^6 a^{-10} +4 z^6 a^{-12} -8 z^5 a^{-3} +7 z^5 a^{-5} +6 z^5 a^{-7} -9 z^5 a^{-9} +z^5 a^{-11} +z^5 a^{-13} -3 z^4 a^{-2} +12 z^4 a^{-4} +5 z^4 a^{-6} -37 z^4 a^{-8} -34 z^4 a^{-10} -7 z^4 a^{-12} +5 z^3 a^{-3} -3 z^3 a^{-5} -6 z^3 a^{-7} -4 z^3 a^{-11} -2 z^3 a^{-13} +2 z^2 a^{-2} -7 z^2 a^{-4} -2 z^2 a^{-6} +20 z^2 a^{-8} +17 z^2 a^{-10} +4 z^2 a^{-12} +3 z a^{-7} +3 z a^{-9} +z a^{-11} +z a^{-13} +2 a^{-4} - a^{-6} -4 a^{-8} -3 a^{-10} - a^{-12} }[/math] |
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