K13n4040
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Polynomial invariants
| Jones polynomial | Data:K13n4040/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^2+20 t-31+20 t^{-1} -4 t^{-2} }[/math] |
| Conway polynomial | Data:K13n4040/Conway Polynomial |
| Determinant | 79 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{-4} -2 z^4 a^{-6} -z^4 a^{-8} +2 z^2 a^{-2} +z^2 a^{-4} -2 z^2 a^{-6} +z^2 a^{-8} +2 z^2 a^{-10} + a^{-2} + a^{-4} -2 a^{-6} + a^{-8} + a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +3 z^{10} a^{-8} +5 z^{10} a^{-10} +2 z^{10} a^{-12} +5 z^9 a^{-7} +2 z^9 a^{-9} -2 z^9 a^{-11} +z^9 a^{-13} +6 z^8 a^{-6} -6 z^8 a^{-8} -25 z^8 a^{-10} -13 z^8 a^{-12} +5 z^7 a^{-5} -13 z^7 a^{-7} -22 z^7 a^{-9} -11 z^7 a^{-11} -7 z^7 a^{-13} +3 z^6 a^{-4} -15 z^6 a^{-6} -9 z^6 a^{-8} +38 z^6 a^{-10} +29 z^6 a^{-12} +z^5 a^{-3} -8 z^5 a^{-5} +4 z^5 a^{-7} +29 z^5 a^{-9} +33 z^5 a^{-11} +17 z^5 a^{-13} -z^4 a^{-4} +10 z^4 a^{-6} +16 z^4 a^{-8} -21 z^4 a^{-10} -26 z^4 a^{-12} +3 z^3 a^{-3} +z^3 a^{-5} -z^3 a^{-7} -7 z^3 a^{-9} -24 z^3 a^{-11} -16 z^3 a^{-13} +3 z^2 a^{-2} -z^2 a^{-4} -9 z^2 a^{-6} -6 z^2 a^{-8} +8 z^2 a^{-10} +9 z^2 a^{-12} +4 z a^{-11} +4 z a^{-13} - a^{-2} + a^{-4} +2 a^{-6} + a^{-8} - a^{-10} - a^{-12} }[/math] |
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