K13n5027
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Polynomial invariants
| Jones polynomial | Data:K13n5027/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3+2 t^2-14 t+21-14 t^{-1} +2 t^{-2} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n5027/Conway Polynomial |
| Determinant | 45 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -7 z^6 a^{-6} +z^6 a^{-8} +6 z^4 a^{-4} -14 z^4 a^{-6} +8 z^4 a^{-8} +8 z^2 a^{-4} -11 z^2 a^{-6} +12 z^2 a^{-8} -4 z^2 a^{-10} +2 a^{-4} -2 a^{-6} +4 a^{-8} -4 a^{-10} + a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-8} +2 z^{10} a^{-10} +z^9 a^{-5} +3 z^9 a^{-7} +6 z^9 a^{-9} +4 z^9 a^{-11} +z^8 a^{-4} +z^8 a^{-6} -10 z^8 a^{-8} -6 z^8 a^{-10} +4 z^8 a^{-12} -8 z^7 a^{-5} -22 z^7 a^{-7} -32 z^7 a^{-9} -15 z^7 a^{-11} +3 z^7 a^{-13} -7 z^6 a^{-4} -10 z^6 a^{-6} +9 z^6 a^{-8} -2 z^6 a^{-10} -13 z^6 a^{-12} +z^6 a^{-14} +18 z^5 a^{-5} +48 z^5 a^{-7} +52 z^5 a^{-9} +12 z^5 a^{-11} -10 z^5 a^{-13} +14 z^4 a^{-4} +21 z^4 a^{-6} +12 z^4 a^{-8} +15 z^4 a^{-10} +7 z^4 a^{-12} -3 z^4 a^{-14} -15 z^3 a^{-5} -35 z^3 a^{-7} -24 z^3 a^{-9} +2 z^3 a^{-11} +6 z^3 a^{-13} -10 z^2 a^{-4} -13 z^2 a^{-6} -11 z^2 a^{-8} -11 z^2 a^{-10} -2 z^2 a^{-12} +z^2 a^{-14} +2 z a^{-5} +7 z a^{-7} +z a^{-9} -6 z a^{-11} -2 z a^{-13} +2 a^{-4} +2 a^{-6} +4 a^{-8} +4 a^{-10} + a^{-12} }[/math] |
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