Title: Maass forms on SL_3(Z) Creator: David Farmer, Sally Koutsoliotas and Stefan Lemurell Program(s) used: Mathematica Operating system: Linux (and Windows) When created: June 2009 Rigor: The eigenvalue parameters we believe are correct at least 14 decimal places. The prime fourier coefficents a2, a3 and a5 are also correct to approximately 14 places. After that the precision starts getting down and the last prime coefficients might have just one or even no correct decimals. These estimates are based on agreement between several independent indicators as well as precision of computed known lifts. The composite coefficients given in the data are computed from the prime coefficients using the Hecke multiplicativity relations (except 32 and 64). Description: The data consists of 110 Maass forms on SL_3(Z). The files are in Lcalc format and could be run directly with lcalc. In particular rows 6-11 contains the parameters for the gamma function (i.e. the eigenvalue parameters) and the 16 last lines are the first 16 (complex) coefficients. The names of the files are gl3MaassX where X is any number from 1 to 110. Encoded name: GL_3 Maass forms Data format: Lcalc-format Contents of files: Each file contains L-function data for a Maass form on SL_3(Z). Exception is the file EigenvalueList.txt which contains the list of the spectral parameters of all the 101 L-functions. A line in this file looks like: 32. 10.0224730638999 0.156355553560518 Which means that L-function number 32 (whose data can be found in sl3Maass32.txt) has spectral parameters 10.0224730638999 and 0.156355553560518. Further results: We have today (June 10 2009) computed in total 714 L-function corresponding to Maass forms on SL(3,Z). The other 604 have a precision of at least 8 decimals. A plot of the spectral parameters of the computed L-functions can be found in the file EigenValuePlot.pdf. File list: AllFiles.zip (contains all files except itself. :-) ) EigenValuePlot.pdf EigenvalueList.txt sl3Maass1.txt sl3Maass2.txt sl3Maass3.txt sl3Maass4.txt sl3Maass5.txt sl3Maass6.txt sl3Maass7.txt sl3Maass8.txt sl3Maass9.txt sl3Maass10.txt sl3Maass11.txt sl3Maass12.txt sl3Maass13.txt sl3Maass14.txt sl3Maass15.txt sl3Maass16.txt sl3Maass17.txt sl3Maass18.txt sl3Maass19.txt sl3Maass20.txt sl3Maass21.txt sl3Maass22.txt sl3Maass23.txt sl3Maass24.txt sl3Maass25.txt sl3Maass26.txt sl3Maass27.txt sl3Maass28.txt sl3Maass29.txt sl3Maass30.txt sl3Maass31.txt sl3Maass32.txt sl3Maass33.txt sl3Maass34.txt sl3Maass35.txt sl3Maass36.txt sl3Maass37.txt sl3Maass38.txt sl3Maass39.txt sl3Maass40.txt sl3Maass41.txt sl3Maass42.txt sl3Maass43.txt sl3Maass44.txt sl3Maass45.txt sl3Maass46.txt sl3Maass47.txt sl3Maass48.txt sl3Maass49.txt sl3Maass50.txt sl3Maass51.txt sl3Maass52.txt sl3Maass53.txt sl3Maass54.txt sl3Maass55.txt sl3Maass56.txt sl3Maass57.txt sl3Maass58.txt sl3Maass59.txt sl3Maass60.txt sl3Maass61.txt sl3Maass62.txt sl3Maass63.txt sl3Maass64.txt sl3Maass65.txt sl3Maass66.txt sl3Maass67.txt sl3Maass68.txt sl3Maass69.txt sl3Maass70.txt sl3Maass71.txt sl3Maass72.txt sl3Maass73.txt sl3Maass74.txt sl3Maass75.txt sl3Maass76.txt sl3Maass77.txt sl3Maass78.txt sl3Maass79.txt sl3Maass80.txt sl3Maass81.txt sl3Maass82.txt sl3Maass83.txt sl3Maass84.txt sl3Maass85.txt sl3Maass86.txt sl3Maass87.txt sl3Maass88.txt sl3Maass89.txt sl3Maass90.txt sl3Maass91.txt sl3Maass92.txt sl3Maass93.txt sl3Maass94.txt sl3Maass95.txt sl3Maass96.txt sl3Maass97.txt sl3Maass98.txt sl3Maass99.txt sl3Maass100.txt sl3Maass101.txt sl3Maass102.txt sl3Maass103.txt sl3Maass104.txt sl3Maass105.txt sl3Maass106.txt sl3Maass107.txt sl3Maass108.txt sl3Maass109.txt sl3Maass110.txt