K13n4051
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Polynomial invariants
| Jones polynomial | Data:K13n4051/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-19 t^2+26 t-27+26 t^{-1} -19 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4051/Conway Polynomial |
| Determinant | 135 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-8} +2 z^6 a^{-6} -3 z^6 a^{-8} +z^6 a^{-10} +7 z^4 a^{-6} +z^4 a^{-8} +z^4 a^{-10} +6 z^2 a^{-6} +6 z^2 a^{-8} -6 z^2 a^{-10} +2 a^{-6} +3 a^{-8} -6 a^{-10} +2 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +z^9 a^{-7} +9 z^9 a^{-9} +8 z^9 a^{-11} +8 z^8 a^{-8} +25 z^8 a^{-10} +17 z^8 a^{-12} +3 z^7 a^{-7} -6 z^7 a^{-9} +8 z^7 a^{-11} +17 z^7 a^{-13} +3 z^6 a^{-6} -25 z^6 a^{-8} -65 z^6 a^{-10} -27 z^6 a^{-12} +10 z^6 a^{-14} -10 z^5 a^{-7} -32 z^5 a^{-9} -52 z^5 a^{-11} -26 z^5 a^{-13} +4 z^5 a^{-15} -7 z^4 a^{-6} +19 z^4 a^{-8} +44 z^4 a^{-10} +10 z^4 a^{-12} -7 z^4 a^{-14} +z^4 a^{-16} +6 z^3 a^{-7} +36 z^3 a^{-9} +48 z^3 a^{-11} +18 z^3 a^{-13} +6 z^2 a^{-6} -6 z^2 a^{-8} -15 z^2 a^{-10} +3 z^2 a^{-14} -12 z a^{-9} -18 z a^{-11} -6 z a^{-13} -2 a^{-6} +3 a^{-8} +6 a^{-10} +2 a^{-12} }[/math] |
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