K13n3853
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Polynomial invariants
| Jones polynomial | Data:K13n3853/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+t^2+2 t-3+2 t^{-1} + t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3853/Conway Polynomial |
| Determinant | 3 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} +z^6 a^{-6} -4 z^4 a^{-2} -6 z^4 a^{-4} +5 z^4 a^{-6} -z^4 a^{-8} +z^4-3 z^2 a^{-2} -10 z^2 a^{-4} +9 z^2 a^{-6} -2 z^2 a^{-8} +3 z^2+ a^{-2} -6 a^{-4} +5 a^{-6} - a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +3 z^{10} a^{-4} +2 z^{10} a^{-6} +z^{10} a^{-8} +2 z^9 a^{-1} -4 z^9 a^{-3} -6 z^9 a^{-5} +3 z^9 a^{-7} +3 z^9 a^{-9} -10 z^8 a^{-2} -21 z^8 a^{-4} -15 z^8 a^{-6} -2 z^8 a^{-8} +3 z^8 a^{-10} +z^8-11 z^7 a^{-1} -z^7 a^{-3} +5 z^7 a^{-5} -20 z^7 a^{-7} -14 z^7 a^{-9} +z^7 a^{-11} +10 z^6 a^{-2} +44 z^6 a^{-4} +31 z^6 a^{-6} -11 z^6 a^{-8} -14 z^6 a^{-10} -6 z^6+16 z^5 a^{-1} +6 z^5 a^{-3} +7 z^5 a^{-5} +36 z^5 a^{-7} +15 z^5 a^{-9} -4 z^5 a^{-11} +z^4 a^{-2} -46 z^4 a^{-4} -31 z^4 a^{-6} +21 z^4 a^{-8} +16 z^4 a^{-10} +11 z^4-6 z^3 a^{-1} +z^3 a^{-3} -14 z^3 a^{-5} -30 z^3 a^{-7} -6 z^3 a^{-9} +3 z^3 a^{-11} -z^2 a^{-2} +27 z^2 a^{-4} +16 z^2 a^{-6} -9 z^2 a^{-8} -5 z^2 a^{-10} -8 z^2-z a^{-1} -z a^{-3} +7 z a^{-5} +10 z a^{-7} +3 z a^{-9} - a^{-2} -6 a^{-4} -5 a^{-6} - a^{-8} +2 }[/math] |
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