********** A. LANGUASCO *********** Computation of the Euler-Kronecker constant with the S function. [LONG DOUBLE PRECISION - GURU64] Acquiring q from file: q = 193894451 Start FFT plans preparation. Done Generating log(gamma(a/q)). Done Start first FFT transform -- End first FFT transform. Building the sequence g^k%q [decimated in frequency]. Done Start second FFT transform -- End second FFT transform. Computing the sum over odd characters. Done Acquiring precomputed values for S(a/q) [decimated in frequency]. Done Start third FFT transform -- End third FFT transform. Computing the sum over even characters. Done *** RESULTS: EK(193894451) = 0.662110 EK(193894451)^+ = 9.607705 EK(193894451) - EK(193894451)^+ = -8.945595 *** TIMES: FFT - total computation time: 3.000000 min. 19.000000 sec. 394.864000 msec. PLAN FFT - total computation time: 0.000000 min. 18.000000 sec. 224.093000 msec. Final comp EKq & EKq^+ - total computation time: 0.000000 min. 3.000000 sec. 323.619000 msec. Input data from file - time: 0.000000 min. 47.000000 sec. 821.180000 msec. Total elapsed time: 4.000000 min. 28.000000 sec. 763.756000 msec. ********** END PROGRAM *********** ********** A. LANGUASCO *********** Computation of the Euler-Kronecker constant with the S function. [QUADRUPLE PRECISION - GURU64] Acquiring q from file: q = 193894451 Start FFT plans preparation. Done Generating log(gamma(a/q)). Done Start first FFT transform -- End first FFT transform. Building the sequence g^k%q [decimated in frequency]. Done Start second FFT transform -- End second FFT transform. Computing the sum over odd characters. Done Acquiring precomputed values for S(a/q) [decimated in frequency]. Done Start third FFT transform -- End third FFT transform. Computing the sum over even characters. Done *** RESULTS: EK(193894451) = +0.66211006219075123032 EK(193894451)^+ = +9.60770460748828099498 EK(193894451) - EK(193894451)^+ = -8.94559454529752976466 *** TIMES: FFT - total computation time: 74.000000 min. 10.000000 sec. 886.554000 msec. PLAN FFT - total computation time: 5.000000 min. 17.000000 sec. 718.475000 msec. Final comp EKq & EKq^+ - total computation time: 1.000000 min. 2.000000 sec. 944.229000 msec. Input data from file - time: 0.000000 min. 43.000000 sec. 46.186000 msec. Total elapsed time: 81.000000 min. 14.000000 sec. 595.444000 msec. ********** END PROGRAM *********** ********** A. LANGUASCO *********** Computation of the Euler-Kronecker constant with the T function. [LONG DOUBLE PRECISION - GURU64] and computed psi values. [IN DOUBLE PRECISION] Acquiring q from file: q = 193894451 Start FFT plans preparation. Done Acquiring precomputed values for T(a/q). Done Start first FFT transform -- End first FFT transform. Building the sequence g^k%q and psi(a/q). Done Start second FFT transform -- End second FFT transform. Computing the sum over characters. Done *** RESULT: EK(193894451) = 0.662111 *** TIMES: FFT - computation time: 2.000000 min. 25.000000 sec. 813.406000 msec. PLAN FFT - computation time:: 0.000000 min. 13.000000 sec. 530.029000 msec. Final comp EKq - computation time: 0.000000 min. 3.000000 sec. 43.322000 msec. Acquiring precomputed data from file - time: 1.000000 min. 52.000000 sec. 802.023000 msec. Total elapsed time: 4.000000 min. 35.000000 sec. 188.780000 msec. ********** END PROGRAM *********** ********** A. LANGUASCO *********** Computation of the Euler-Kronecker constant with the T function. [LONG DOUBLE PRECISION - GURU64] and precomputed psi values. Acquiring q from file: q = 193894451 Start FFT plans preparation. Done Acquiring precomputed values for T(a/q). Done Start first FFT transform -- End first FFT transform. Acquiring precomputed values for psi(a/q). Done Start second FFT transform -- End second FFT transform. Computing the sum over characters. Done *** RESULT: EK(193894451) = 0.662110 *** TIMES: FFT - computation time: 2.000000 min. 26.000000 sec. 162.535000 msec. PLAN FFT - computation time:: 0.000000 min. 12.000000 sec. 332.673000 msec. Final comp EKq - computation time: 0.000000 min. 2.000000 sec. 987.138000 msec. Acquiring precomputed data from file - time: 3.000000 min. 40.000000 sec. 456.288000 msec. Total elapsed time: 6.000000 min. 21.000000 sec. 938.634000 msec. ********** END PROGRAM *********** ********** A. LANGUASCO *********** Computation of the Euler-Kronecker constant with the T function. [QUADRUPLE PRECISION - GURU64] and computed psi values. [IN DOUBLE PRECISION] Acquiring q from file: q = 193894451 Start FFT plans preparation. Done Acquiring precomputed values for T(a/q). Done Start first FFT transform -- End first FFT transform. Building the sequence g^k%q and psi(a/q). Done Start second FFT transform -- End second FFT transform. Computing the sum over characters. Done *** RESULT: EK(193894451) = +0.66211034894465703888 *** TIMES: FFT - computation time: 59.000000 min. 25.000000 sec. 644.956000 msec. PLAN FFT - computation time:: 5.000000 min. 21.000000 sec. 7.365000 msec. Final comp EKq - computation time: 1.000000 min. 4.000000 sec. 957.251000 msec. Acquiring precomputed data from file - time: 1.000000 min. 20.000000 sec. 654.223000 msec. Total elapsed time: 67.000000 min. 12.000000 sec. 263.795000 msec. ********** END PROGRAM ***********