K13n414
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Polynomial invariants
| Jones polynomial | Data:K13n414/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-7 t^2+12 t-13+12 t^{-1} -7 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n414/Conway Polynomial |
| Determinant | 55 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6-a^2 z^4+4 z^4 a^{-2} -z^4 a^{-4} +3 z^4-2 a^2 z^2+6 z^2 a^{-2} -3 z^2 a^{-4} +z^2+4 a^{-2} -2 a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +5 z^{10} a^{-2} +2 z^{10} a^{-4} +3 z^{10}+4 a z^9+z^9 a^{-1} -2 z^9 a^{-3} +z^9 a^{-5} +3 a^2 z^8-28 z^8 a^{-2} -13 z^8 a^{-4} -12 z^8+a^3 z^7-18 a z^7-25 z^7 a^{-1} -13 z^7 a^{-3} -7 z^7 a^{-5} -13 a^2 z^6+51 z^6 a^{-2} +29 z^6 a^{-4} +9 z^6-4 a^3 z^5+21 a z^5+50 z^5 a^{-1} +42 z^5 a^{-3} +17 z^5 a^{-5} +13 a^2 z^4-41 z^4 a^{-2} -27 z^4 a^{-4} -z^4+3 a^3 z^3-11 a z^3-36 z^3 a^{-1} -38 z^3 a^{-3} -16 z^3 a^{-5} -4 a^2 z^2+18 z^2 a^{-2} +12 z^2 a^{-4} +2 z^2+3 a z+9 z a^{-1} +11 z a^{-3} +5 z a^{-5} -4 a^{-2} -2 a^{-4} -1 }[/math] |
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