K13n253
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Polynomial invariants
| Jones polynomial | Data:K13n253/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+7 t^2-21 t+31-21 t^{-1} +7 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n253/Conway Polynomial |
| Determinant | 89 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -3 z^4 a^{-2} +2 z^4 a^{-4} +2 z^4-2 a^2 z^2-5 z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-6} +2 z^2+a^4-a^2-2 a^{-2} +3 a^{-4} - a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +5 z^{10} a^{-2} +3 z^{10} a^{-4} +2 z^{10}+a z^9+3 z^9 a^{-3} +4 z^9 a^{-5} -18 z^8 a^{-2} -7 z^8 a^{-4} +3 z^8 a^{-6} -8 z^8-2 a z^7-9 z^7 a^{-1} -22 z^7 a^{-3} -14 z^7 a^{-5} +z^7 a^{-7} +3 a^2 z^6+19 z^6 a^{-2} -6 z^6 a^{-4} -12 z^6 a^{-6} +16 z^6+2 a^3 z^5+5 a z^5+16 z^5 a^{-1} +27 z^5 a^{-3} +10 z^5 a^{-5} -4 z^5 a^{-7} +a^4 z^4-3 a^2 z^4-4 z^4 a^{-2} +16 z^4 a^{-4} +13 z^4 a^{-6} -11 z^4-3 a^3 z^3-2 a z^3-4 z^3 a^{-1} -10 z^3 a^{-3} -z^3 a^{-5} +4 z^3 a^{-7} -2 a^4 z^2-a^2 z^2-3 z^2 a^{-2} -11 z^2 a^{-4} -6 z^2 a^{-6} +3 z^2+a^3 z-a z-2 z a^{-1} -z a^{-5} -z a^{-7} +a^4+a^2+2 a^{-2} +3 a^{-4} + a^{-6} +1 }[/math] |
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