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/usr/share/scalapack/QR.dat is in scalapack-test-common 1.8.0-9build1.

This file is owned by root:root, with mode 0o644.

The actual contents of the file can be viewed below.

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'ScaLAPACK, Orthogonal factorizations input file'
'MPI machine'
'QR.out'			output file name (if any)
6				device out
6				number of factorizations
'QR' 'QL' 'LQ' 'RQ' 'QP' 'TZ'	factorizations: QR, QL, LQ, RQ, QP, TZ
4				number of problems sizes
2 5 13 15 13 26 30 15		values of M
2 7 8  10 17 20 30 35		values of N
4				number of blocking sizes
4 3 5 5 4 6			values of MB
4 7 3 5 8 2			values of NB
4				number of process grids (ordered pairs P & Q)
1 2 1 4 2 3 8			values of P
1 2 4 1 3 2 1			values of Q
3.0				threshold