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The scalar-isoscalar, scalar-isotensor and vector-isovector pi-pi amplitudesare fitted simultaneously to experimental data and to Roy's equations. Theresulting amplitudes are compared with those fitted only to experimental data.No additional constraints for the pi-pi threshold behaviour of the amplitudesare imposed. Threshold parameters are calculated for the amplitudes in thethree waves. Spectrum of scalar mesons below 1.8 GeV is found from the analysisof the analytical structure of the fitted amplitudes.Comment: 3 pages, 1 figure. Talk given at MESON 2004: 8th International  Workshop on Meson Production, Properties and Interactions, Cracow, Poland,  4-8 Jun 2004. Submitted to Int.J.Mod.Phys.

ππ AMPLITUDES FITTED TO EXPERIMENTAL DATA AND TO ROY'S EQUATIONS