K13n1052
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Polynomial invariants
| Jones polynomial | Data:K13n1052/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+9 t^3-16 t^2+18 t-17+18 t^{-1} -16 t^{-2} +9 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1052/Conway Polynomial |
| Determinant | 107 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -4 z^6 a^{-6} -5 z^6 a^{-8} +z^6 a^{-10} +4 z^4 a^{-4} -3 z^4 a^{-6} -8 z^4 a^{-8} +5 z^4 a^{-10} +5 z^2 a^{-4} +z^2 a^{-6} -7 z^2 a^{-8} +5 z^2 a^{-10} -z^2 a^{-12} +2 a^{-4} + a^{-6} -3 a^{-8} + 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} +3 z^9 a^{-5} +2 z^9 a^{-7} +7 z^9 a^{-9} +8 z^9 a^{-11} +z^8 a^{-4} -14 z^8 a^{-6} -45 z^8 a^{-8} -27 z^8 a^{-10} +3 z^8 a^{-12} -13 z^7 a^{-5} -37 z^7 a^{-7} -62 z^7 a^{-9} -38 z^7 a^{-11} -5 z^6 a^{-4} +8 z^6 a^{-6} +49 z^6 a^{-8} +24 z^6 a^{-10} -12 z^6 a^{-12} +17 z^5 a^{-5} +59 z^5 a^{-7} +100 z^5 a^{-9} +59 z^5 a^{-11} +z^5 a^{-13} +9 z^4 a^{-4} +4 z^4 a^{-6} -21 z^4 a^{-8} +16 z^4 a^{-12} -8 z^3 a^{-5} -37 z^3 a^{-7} -61 z^3 a^{-9} -33 z^3 a^{-11} -z^3 a^{-13} -7 z^2 a^{-4} -2 z^2 a^{-6} +8 z^2 a^{-8} -2 z^2 a^{-10} -5 z^2 a^{-12} +z a^{-5} +10 z a^{-7} +14 z a^{-9} +5 z a^{-11} +2 a^{-4} - a^{-6} -3 a^{-8} - a^{-10} }[/math] |
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