In this case, I only use the c² for the lowest state in each charge conjugation sector. That is, the error in the chi² fitting criteria is substantially smaller for the lowest state in each sector. In the newer results the parity doublets used in the chi² fit, along with the assumed errors, is now shown. All of the couplings are fit for a given mass.

- A small basis, scale determined by fixing 0^++ to Teper's value.
- ttraj11.out, all masses. In this case we use the J_z^{P_1 C} = 1^{± +} and 2^{± +} parity doublet.
- ttraj00.out, all masses. Newer run with different parity doublet criteria. Postscript plots of C=+1 and C=-1 spectra in units of the string tension for the m²=0.051777 datum.

- A small basis, scale determined by minimizing chi².
- ctraj11.out, all masses. In this case we use the J_z^{P_1 C} = 1^{± +} and 2^{± +} parity doublet.
- ctraj00.out, all masses, only partially completed. This is a newer run with different parity doublet criteria.
- ctraj01.out, all masses. In this case, we demand that the n=(2,0) winding mode is not tachyonic. The starting points are from above.

- A BIG basis, scale determined by fitting to lattice value.
In this case, the parity doublet fitting criteria are shown.
- tbig05.out, m²=0.032492.
- tbig06.out, m²=0.051777.
- tbig00.out, smaller masses (not finished).
- tbig01.out, larger masses (not finished).

- tbig10.out, smaller masses.
- tbig11.out, intermediate masses (not finished).
- tbig21.out, intermediate masses. This is a newer run, the results should be the same as above.
- tbig16.out, larger masses.
- tbig15.out, m²=0.032492. This is redundant, but the chi² is a bit smaller.

- tbig31.out, intermediate masses.

- tbig41.out, intermediate masses (not started).

- A BIG basis, scale determined by minimizing chi².
- cbig05.out, m²=0.032492.
- cbig15.out, m²=0.032492. In this case, we demand that the n=(2,0) winding mode is not tachyonic. The starting points are from above. Postscript plots of C=+1 and C=-1 spectra in units of the string tension; also shown is the lattice 0^{++} in red.
- cbig06.out, m²=0.051777.

- cbig10.out, smaller masses.
- cbig11.out, intermediate masses. As a double-check, I rerun the chi² minimization with using these results as the starting point: cbig21.out, the results for intermediate masses are not pretty.
- cbig12.out, larger masses.

- cbig31.out, intermediate masses. The same cbig33.out, intermediate masses calculated at Argonne.

- cbig41.out, intermediate masses. Postscript plots of C=+1 and C=-1 spectra in units of the string tension for the m²=0.051777 datum. Another try with different starting couplings: cbig43.out , intermediate masses and do it again, cbig44.out.
- cbig40.out, smaller masses.
- cbig42.out, larger masses.

- Longitudinal Potentials.
- mpiwind01.out, truncations same as in BIG basis.
- mpiwind03.out, even larger trucations.
- To check that the fitting procedure is stable, I do a run with many values of K and K_max: mpiwind06.out and mpiwind06.extrap, values used in extrapolation.

- Winding Potentials.
- mpiwind02.out, truncations same as in BIG basis.
- mpiwind04.out, even larger trucations, o=+1.
- mpiwind05.out, even larger trucations o=-1.

- Longitudinal Potentials.
- mpiwind11.out, truncations same as in BIG basis.
- mpiwind13.outEven larger trucations.
- To check that the fitting procedure is stable, I do a run with many values of K and K_max: mpiwind16.out and mpiwind16.extrapvalues used in extrapolation.

- Winding Potentials.
- mpiwind12.out, truncations same as in BIG basis.
- mpiwind14.out, even larger trucations, o=+1.
- mpiwind15.out, even larger trucations o=-1.

Here we choose the couplings from the best fit above.
There are results for 6 particle truncation
and 8 particle truncation. The notation for
the helicities is discussed in the paper
`hep-th/9806231`