K13n2720
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Polynomial invariants
| Jones polynomial | Data:K13n2720/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-16 t^2+43 t-57+43 t^{-1} -16 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2720/Conway Polynomial |
| Determinant | 179 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} +z^6 a^{-6} -3 z^4 a^{-2} -z^4 a^{-4} +z^4 a^{-6} -z^4 a^{-8} -3 z^2 a^{-2} -4 z^2 a^{-4} +2 z^2 a^{-6} +2 z^2-3 a^{-4} +2 a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +5 z^{10} a^{-4} +12 z^{10} a^{-6} +7 z^{10} a^{-8} +5 z^9 a^{-3} +10 z^9 a^{-5} +14 z^9 a^{-7} +9 z^9 a^{-9} +3 z^8 a^{-2} -5 z^8 a^{-4} -23 z^8 a^{-6} -10 z^8 a^{-8} +5 z^8 a^{-10} +z^7 a^{-1} -5 z^7 a^{-3} -33 z^7 a^{-5} -54 z^7 a^{-7} -26 z^7 a^{-9} +z^7 a^{-11} +6 z^6 a^{-4} +3 z^6 a^{-6} -17 z^6 a^{-8} -14 z^6 a^{-10} +3 z^5 a^{-1} +6 z^5 a^{-3} +35 z^5 a^{-5} +52 z^5 a^{-7} +18 z^5 a^{-9} -2 z^5 a^{-11} +2 z^4 a^{-2} -11 z^4 a^{-4} +5 z^4 a^{-6} +25 z^4 a^{-8} +10 z^4 a^{-10} +3 z^4-2 z^3 a^{-1} -20 z^3 a^{-5} -25 z^3 a^{-7} -2 z^3 a^{-9} +z^3 a^{-11} -z^2 a^{-2} +12 z^2 a^{-4} +z^2 a^{-6} -8 z^2 a^{-8} -z^2 a^{-10} -5 z^2-z a^{-1} -z a^{-3} +5 z a^{-5} +6 z a^{-7} +z a^{-9} -3 a^{-4} -2 a^{-6} +2 }[/math] |
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