K13n3718
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Polynomial invariants
| Jones polynomial | Data:K13n3718/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+10 t^2-6 t+1-6 t^{-1} +10 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3718/Conway Polynomial |
| Determinant | 45 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -3 z^4 a^{-2} +7 z^4 a^{-4} -4 z^4 a^{-6} +4 z^2 a^{-4} -z^2 a^{-6} +2 z^2 a^{-8} + a^{-2} - a^{-4} +2 a^{-6} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-4} +2 z^{10} a^{-6} +5 z^9 a^{-3} +7 z^9 a^{-5} +2 z^9 a^{-7} +4 z^8 a^{-2} -3 z^8 a^{-4} -9 z^8 a^{-6} -z^8 a^{-8} +z^8 a^{-10} +z^7 a^{-1} -21 z^7 a^{-3} -34 z^7 a^{-5} -13 z^7 a^{-7} +z^7 a^{-11} -16 z^6 a^{-2} -15 z^6 a^{-4} +10 z^6 a^{-6} +3 z^6 a^{-8} -6 z^6 a^{-10} -3 z^5 a^{-1} +21 z^5 a^{-3} +47 z^5 a^{-5} +24 z^5 a^{-7} -5 z^5 a^{-9} -6 z^5 a^{-11} +14 z^4 a^{-2} +21 z^4 a^{-4} -7 z^4 a^{-6} -6 z^4 a^{-8} +8 z^4 a^{-10} +z^3 a^{-1} -6 z^3 a^{-3} -23 z^3 a^{-5} -16 z^3 a^{-7} +10 z^3 a^{-9} +10 z^3 a^{-11} -z^2 a^{-2} -3 z^2 a^{-4} +7 z^2 a^{-6} +6 z^2 a^{-8} -3 z^2 a^{-10} +z a^{-5} +2 z a^{-7} -4 z a^{-9} -5 z a^{-11} - a^{-2} - a^{-4} -2 a^{-6} + a^{-10} }[/math] |
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