K13n2165
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Polynomial invariants
| Jones polynomial | Data:K13n2165/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-17 t^2+43 t-57+43 t^{-1} -17 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2165/Conway Polynomial |
| Determinant | 183 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +2 z^6 a^{-4} +z^4 a^{-2} +5 z^4 a^{-4} -4 z^4 a^{-6} -z^4+z^2 a^{-2} +7 z^2 a^{-4} -7 z^2 a^{-6} +2 z^2 a^{-8} -z^2+4 a^{-4} -4 a^{-6} + a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +5 z^{10} a^{-4} +7 z^{10} a^{-6} +2 z^{10} a^{-8} +10 z^9 a^{-3} +17 z^9 a^{-5} +8 z^9 a^{-7} +z^9 a^{-9} +11 z^8 a^{-2} +12 z^8 a^{-4} +5 z^8 a^{-6} +4 z^8 a^{-8} +8 z^7 a^{-1} -7 z^7 a^{-3} -31 z^7 a^{-5} -11 z^7 a^{-7} +5 z^7 a^{-9} -14 z^6 a^{-2} -43 z^6 a^{-4} -45 z^6 a^{-6} -17 z^6 a^{-8} +3 z^6 a^{-10} +4 z^6+a z^5-10 z^5 a^{-1} -9 z^5 a^{-3} -20 z^5 a^{-7} -18 z^5 a^{-9} +7 z^4 a^{-2} +41 z^4 a^{-4} +47 z^4 a^{-6} +12 z^4 a^{-8} -6 z^4 a^{-10} -5 z^4-a z^3+5 z^3 a^{-1} +13 z^3 a^{-3} +22 z^3 a^{-5} +30 z^3 a^{-7} +15 z^3 a^{-9} -z^2 a^{-2} -18 z^2 a^{-4} -21 z^2 a^{-6} -4 z^2 a^{-8} +2 z^2 a^{-10} +2 z^2-z a^{-1} -4 z a^{-3} -10 z a^{-5} -10 z a^{-7} -3 z a^{-9} +4 a^{-4} +4 a^{-6} + a^{-8} }[/math] |
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