K13n123
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Polynomial invariants
| Jones polynomial | Data:K13n123/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-10 t^2+32 t-45+32 t^{-1} -10 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n123/Conway Polynomial |
| Determinant | 131 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} -2 z^4 a^{-2} +2 z^4 a^{-4} -4 z^4 a^{-6} -2 z^2 a^{-2} +5 z^2 a^{-4} -7 z^2 a^{-6} +4 z^2 a^{-8} +z^2- a^{-2} +3 a^{-4} -4 a^{-6} +3 a^{-8} - a^{-10} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +3 z^{10} a^{-4} +7 z^{10} a^{-6} +4 z^{10} a^{-8} +3 z^9 a^{-3} +8 z^9 a^{-5} +11 z^9 a^{-7} +6 z^9 a^{-9} +z^8 a^{-2} -5 z^8 a^{-4} -12 z^8 a^{-6} -2 z^8 a^{-8} +4 z^8 a^{-10} -9 z^7 a^{-3} -35 z^7 a^{-5} -44 z^7 a^{-7} -17 z^7 a^{-9} +z^7 a^{-11} -z^6 a^{-4} -16 z^6 a^{-6} -28 z^6 a^{-8} -13 z^6 a^{-10} +3 z^5 a^{-1} +20 z^5 a^{-3} +50 z^5 a^{-5} +44 z^5 a^{-7} +8 z^5 a^{-9} -3 z^5 a^{-11} +4 z^4 a^{-2} +18 z^4 a^{-4} +40 z^4 a^{-6} +37 z^4 a^{-8} +12 z^4 a^{-10} +z^4-4 z^3 a^{-1} -14 z^3 a^{-3} -26 z^3 a^{-5} -18 z^3 a^{-7} +z^3 a^{-9} +3 z^3 a^{-11} -5 z^2 a^{-2} -14 z^2 a^{-4} -23 z^2 a^{-6} -17 z^2 a^{-8} -5 z^2 a^{-10} -2 z^2+z a^{-1} +3 z a^{-3} +4 z a^{-5} +3 z a^{-7} -z a^{-11} + a^{-2} +3 a^{-4} +4 a^{-6} +3 a^{-8} + a^{-10} +1 }[/math] |
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