K13n4266
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Polynomial invariants
| Jones polynomial | Data:K13n4266/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+9 t^2-20 t+25-20 t^{-1} +9 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n4266/Conway Polynomial |
| Determinant | 85 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-8} +z^4 a^{-4} +3 z^4 a^{-6} -3 z^4 a^{-8} +2 z^4 a^{-10} +2 z^2 a^{-4} +7 z^2 a^{-6} -5 z^2 a^{-8} +4 z^2 a^{-10} -z^2 a^{-12} +4 a^{-6} -4 a^{-8} +2 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +2 z^{10} a^{-8} +5 z^{10} a^{-10} +3 z^{10} a^{-12} +z^9 a^{-7} -z^9 a^{-9} +2 z^9 a^{-11} +4 z^9 a^{-13} -9 z^8 a^{-8} -22 z^8 a^{-10} -10 z^8 a^{-12} +3 z^8 a^{-14} -2 z^7 a^{-7} -6 z^7 a^{-9} -21 z^7 a^{-11} -16 z^7 a^{-13} +z^7 a^{-15} +4 z^6 a^{-6} +21 z^6 a^{-8} +39 z^6 a^{-10} +10 z^6 a^{-12} -12 z^6 a^{-14} +2 z^5 a^{-5} +4 z^5 a^{-7} +18 z^5 a^{-9} +40 z^5 a^{-11} +20 z^5 a^{-13} -4 z^5 a^{-15} +z^4 a^{-4} -10 z^4 a^{-6} -23 z^4 a^{-8} -34 z^4 a^{-10} -10 z^4 a^{-12} +12 z^4 a^{-14} -3 z^3 a^{-5} -2 z^3 a^{-7} -15 z^3 a^{-9} -35 z^3 a^{-11} -15 z^3 a^{-13} +4 z^3 a^{-15} -2 z^2 a^{-4} +11 z^2 a^{-6} +18 z^2 a^{-8} +12 z^2 a^{-10} +5 z^2 a^{-12} -2 z^2 a^{-14} +3 z a^{-7} +5 z a^{-9} +8 z a^{-11} +6 z a^{-13} -4 a^{-6} -4 a^{-8} -2 a^{-10} - a^{-12} }[/math] |
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