K13n2142
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Polynomial invariants
| Jones polynomial | Data:K13n2142/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+10 t^2-5 t+1-5 t^{-1} +10 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2142/Conway Polynomial |
| Determinant | 45 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -2 z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -9 z^4 a^{-2} +7 z^4 a^{-4} -5 z^4 a^{-6} +z^4-10 z^2 a^{-2} +6 z^2 a^{-4} -5 z^2 a^{-6} +2 z^2 a^{-8} +4 z^2-4 a^{-2} +3 a^{-4} -2 a^{-6} + a^{-8} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +4 z^{10} a^{-4} +2 z^{10} a^{-6} +2 z^9 a^{-1} -z^9 a^{-3} -2 z^9 a^{-5} +z^9 a^{-7} -7 z^8 a^{-2} -18 z^8 a^{-4} -10 z^8 a^{-6} +z^8-10 z^7 a^{-1} -11 z^7 a^{-3} -8 z^7 a^{-5} -6 z^7 a^{-7} +z^7 a^{-9} -2 z^6 a^{-2} +17 z^6 a^{-4} +10 z^6 a^{-6} -2 z^6 a^{-8} +z^6 a^{-10} -6 z^6+14 z^5 a^{-1} +14 z^5 a^{-3} +13 z^5 a^{-5} +6 z^5 a^{-7} -7 z^5 a^{-9} +19 z^4 a^{-2} +z^4 a^{-4} +2 z^4 a^{-6} +3 z^4 a^{-8} -5 z^4 a^{-10} +12 z^4-6 z^3 a^{-1} -z^3 a^{-3} -3 z^3 a^{-5} +z^3 a^{-7} +9 z^3 a^{-9} -16 z^2 a^{-2} -7 z^2 a^{-4} -7 z^2 a^{-6} -2 z^2 a^{-8} +4 z^2 a^{-10} -10 z^2-z a^{-3} -z a^{-5} -2 z a^{-7} -2 z a^{-9} +4 a^{-2} +3 a^{-4} +2 a^{-6} + a^{-8} +3 }[/math] |
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