m006 - PSL(3,C) Equations
Get the equations defining the PSL(3,C) solutions here.
m006 - PSL(2,C) solutions
* number of PSL(2,C) solutions in uni-dim PSL(3,C) components : 2
* number of PSL(2,C) solutions in zero-dim PSL(3,C) components : 3
Get the rational parameterizations of the PSL(2,C) solutions here.
(hyp_zd stands for solutions from zero-dimensional PSL(3,C) components and hyp_pd for solution from PSL(3,C) uni-dimensional components)
m006 - PSL(3,C) Components
Get the irreductible components of the PSL(3,C) solutions here.
(lzd stands for solutions from zero-dimensional PSL(3,C) components - given as rational parameterizations - and lpd stands for solution from PSL(3,C) uni-dimensional components given as a system of polynomials)
Details on m006 - PSL(3,C) Zero-dimensional Components:
| Component | PSL(3,C) | PSL(3,R) | PSL(2,C) | PSL(2,R) | PU(2,1) | PSL(2,C) \ PSL(2,R) | PSL(3,C) \ (PSL(3,R) U PU(2,1) U PSL(2,C) ) |
| m006_1 | 3 | 1 | 3 | 1 | 1 | 2.568971 | |
| m006_2 | 6 | 0 | 0 | 0 | 2 | | 0.707031 |
| m006_3 | 6 | 0 | 0 | 0 | 2 | | 1.284485 |
| m006_4 | 28 | 0 | 0 | 0 | 12 | | 0.719829 0.971648 |