K13n3913
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Polynomial invariants
| Jones polynomial | Data:K13n3913/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+17 t^2-33 t+41-33 t^{-1} +17 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3913/Conway Polynomial |
| Determinant | 153 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -z^6 a^{-4} +6 z^6 a^{-6} -2 z^6 a^{-8} -3 z^4 a^{-4} +17 z^4 a^{-6} -8 z^4 a^{-8} +z^4 a^{-10} -4 z^2 a^{-4} +22 z^2 a^{-6} -14 z^2 a^{-8} +2 z^2 a^{-10} -2 a^{-4} +10 a^{-6} -9 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +4 z^{10} a^{-6} +11 z^{10} a^{-8} +7 z^{10} a^{-10} +2 z^9 a^{-5} +z^9 a^{-7} +9 z^9 a^{-9} +10 z^9 a^{-11} -17 z^8 a^{-6} -40 z^8 a^{-8} -15 z^8 a^{-10} +8 z^8 a^{-12} -6 z^7 a^{-5} -20 z^7 a^{-7} -46 z^7 a^{-9} -28 z^7 a^{-11} +4 z^7 a^{-13} +4 z^6 a^{-4} +45 z^6 a^{-6} +72 z^6 a^{-8} +10 z^6 a^{-10} -20 z^6 a^{-12} +z^6 a^{-14} +z^5 a^{-3} +18 z^5 a^{-5} +60 z^5 a^{-7} +80 z^5 a^{-9} +28 z^5 a^{-11} -9 z^5 a^{-13} -9 z^4 a^{-4} -53 z^4 a^{-6} -61 z^4 a^{-8} -3 z^4 a^{-10} +12 z^4 a^{-12} -2 z^4 a^{-14} -3 z^3 a^{-3} -23 z^3 a^{-5} -61 z^3 a^{-7} -59 z^3 a^{-9} -15 z^3 a^{-11} +3 z^3 a^{-13} +6 z^2 a^{-4} +31 z^2 a^{-6} +30 z^2 a^{-8} +3 z^2 a^{-10} -2 z^2 a^{-12} +2 z a^{-3} +9 z a^{-5} +21 z a^{-7} +17 z a^{-9} +3 z a^{-11} -2 a^{-4} -10 a^{-6} -9 a^{-8} -2 a^{-10} }[/math] |
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