K13n4109
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Polynomial invariants
| Jones polynomial | Data:K13n4109/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+12 t^2-27 t+35-27 t^{-1} +12 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4109/Conway Polynomial |
| Determinant | 117 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -z^6 a^{-6} +z^4 a^{-2} -z^4 a^{-4} -z^4 a^{-6} +z^4 a^{-8} +z^2 a^{-2} +2 z^2 a^{-4} +z^2 a^{-6} -z^2 a^{-8} +2 a^{-4} + a^{-6} -3 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +4 z^{10} a^{-6} +5 z^{10} a^{-8} +z^{10} a^{-10} +7 z^9 a^{-5} +6 z^9 a^{-7} -z^9 a^{-9} +7 z^8 a^{-4} -4 z^8 a^{-6} -14 z^8 a^{-8} -3 z^8 a^{-10} +4 z^7 a^{-3} -16 z^7 a^{-5} -24 z^7 a^{-7} -3 z^7 a^{-9} +z^7 a^{-11} +z^6 a^{-2} -17 z^6 a^{-4} -10 z^6 a^{-6} +16 z^6 a^{-8} +8 z^6 a^{-10} -9 z^5 a^{-3} +8 z^5 a^{-5} +34 z^5 a^{-7} +21 z^5 a^{-9} +4 z^5 a^{-11} -2 z^4 a^{-2} +9 z^4 a^{-4} +16 z^4 a^{-6} +z^4 a^{-8} -2 z^4 a^{-10} +2 z^4 a^{-12} +3 z^3 a^{-3} -3 z^3 a^{-5} -20 z^3 a^{-7} -24 z^3 a^{-9} -10 z^3 a^{-11} +z^2 a^{-2} -5 z^2 a^{-4} -6 z^2 a^{-6} -3 z^2 a^{-10} -3 z^2 a^{-12} +7 z a^{-7} +11 z a^{-9} +4 z a^{-11} +2 a^{-4} - a^{-6} -3 a^{-8} - a^{-10} }[/math] |
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