K13n4251
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Polynomial invariants
| Jones polynomial | Data:K13n4251/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+12 t^2-23 t+27-23 t^{-1} +12 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4251/Conway Polynomial |
| Determinant | 101 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-4} -2 z^4 a^{-6} -2 z^4 a^{-8} +2 z^4 a^{-10} +5 z^2 a^{-4} -z^2 a^{-6} -z^2 a^{-8} +5 z^2 a^{-10} -z^2 a^{-12} +2 a^{-4} - a^{-6} - a^{-8} +3 a^{-10} -2 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} +2 z^9 a^{-7} +z^9 a^{-11} +3 z^9 a^{-13} +2 z^8 a^{-6} -3 z^8 a^{-8} -20 z^8 a^{-10} -13 z^8 a^{-12} +2 z^8 a^{-14} +z^7 a^{-5} -12 z^7 a^{-11} -12 z^7 a^{-13} +z^7 a^{-15} -2 z^6 a^{-6} +5 z^6 a^{-8} +42 z^6 a^{-10} +27 z^6 a^{-12} -8 z^6 a^{-14} +z^5 a^{-5} -5 z^5 a^{-7} -4 z^5 a^{-9} +23 z^5 a^{-11} +16 z^5 a^{-13} -5 z^5 a^{-15} +3 z^4 a^{-4} +4 z^4 a^{-6} -5 z^4 a^{-8} -49 z^4 a^{-10} -35 z^4 a^{-12} +8 z^4 a^{-14} -2 z^3 a^{-5} +10 z^3 a^{-7} +8 z^3 a^{-9} -22 z^3 a^{-11} -11 z^3 a^{-13} +7 z^3 a^{-15} -6 z^2 a^{-4} -4 z^2 a^{-6} +7 z^2 a^{-8} +23 z^2 a^{-10} +17 z^2 a^{-12} -z^2 a^{-14} -z a^{-5} -3 z a^{-7} -3 z a^{-9} +4 z a^{-11} +3 z a^{-13} -2 z a^{-15} +2 a^{-4} + a^{-6} - a^{-8} -3 a^{-10} -2 a^{-12} }[/math] |
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