[logfile is "pari.log"] ? init_Zeta_cycl_interval();zeta_cyc(2,2,,10,19) Interval=[5,7] Performing precomputations of a/q for this prime interval Precomputation ratios: done ! Precomputation time (ratios): 0 min, 0 sec, 0 millisec The cases q=2,3 are directly computed Performing precomputations of zeta(s,a/q), zeta_prime(s,a/q) for this value of s s = 2 Precomputation Hurwitz: done ! ------------- zeta_cyc (2;10) = 2.465824420853277741 zeta_cyc_plus (2;10) = 3.356263263112357172 derlog_zeta_cyc (2;10) = -1.324914464602405409 derlog_zeta_cyc_plus (2;10) = -1.586815791805969808 -------------------------- ****** COMPUTATION TIME ******** Precomputation time (hurwitz values): 0 min, 0 sec, 10 millisec Computation time: 0 min, 0 sec, 1 millisec -------------------------- -------------------------- ****** END PROGRAM ******** ? init_Zeta_cycl_interval();zeta_cyc(2,2,,11,19) Interval=[5,11] Performing precomputations of a/q for this prime interval Precomputation ratios: done ! Precomputation time (ratios): 0 min, 0 sec, 0 millisec The cases q=2,3 are directly computed Performing precomputations of zeta(s,a/q), zeta_prime(s,a/q) for this value of s s = 2 Precomputation Hurwitz: done ! ------------- zeta_cyc (2;11) = 2.544965015147327767 zeta_cyc_plus (2;11) = 3.440841513970991133 derlog_zeta_cyc (2;11) = -1.424684765879038744 derlog_zeta_cyc_plus (2;11) = -1.666910007498828148 -------------------------- ****** COMPUTATION TIME ******** Precomputation time (hurwitz values): 0 min, 0 sec, 4 millisec Computation time: 0 min, 0 sec, 0 millisec -------------------------- -------------------------- ****** END PROGRAM ******** ? init_Zeta_cycl_interval();zeta_cyc(2,2,,20,19) Interval=[5,19] Performing precomputations of a/q for this prime interval Precomputation ratios: done ! Precomputation time (ratios): 0 min, 0 sec, 0 millisec The cases q=2,3 are directly computed Performing precomputations of zeta(s,a/q), zeta_prime(s,a/q) for this value of s s = 2 Precomputation Hurwitz: done ! ------------- zeta_cyc (2;20) = 2.622895137146819806 zeta_cyc_plus (2;20) = 3.603835048131780127 derlog_zeta_cyc (2;20) = -1.535157540091491118 derlog_zeta_cyc_plus (2;20) = -1.828378117948836895 -------------------------- ****** COMPUTATION TIME ******** Precomputation time (hurwitz values): 0 min, 0 sec, 25 millisec Computation time: 0 min, 0 sec, 1 millisec -------------------------- -------------------------- ****** END PROGRAM ******** ? init_Zeta_cycl_interval();zeta_cyc(2,2,,30,19) Interval=[5,29] Performing precomputations of a/q for this prime interval Precomputation ratios: done ! Precomputation time (ratios): 0 min, 0 sec, 0 millisec The cases q=2,3 are directly computed Performing precomputations of zeta(s,a/q), zeta_prime(s,a/q) for this value of s s = 2 Precomputation Hurwitz: done ! ------------- zeta_cyc (2;30) = 2.686441329619230359 zeta_cyc_plus (2;30) = 3.659609899877912763 derlog_zeta_cyc (2;30) = -1.632379120200499371 derlog_zeta_cyc_plus (2;30) = -1.892133695604473140 -------------------------- ****** COMPUTATION TIME ******** Precomputation time (hurwitz values): 0 min, 0 sec, 29 millisec Computation time: 0 min, 0 sec, 1 millisec -------------------------- -------------------------- ****** END PROGRAM ******** ? init_Zeta_cycl_interval();zeta_cyc(2,2,,50,19) Interval=[5,47] Performing precomputations of a/q for this prime interval Precomputation ratios: done ! Precomputation time (ratios): 0 min, 0 sec, 0 millisec The cases q=2,3 are directly computed Performing precomputations of zeta(s,a/q), zeta_prime(s,a/q) for this value of s s = 2 Precomputation Hurwitz: done ! q = 41 ------------- zeta_cyc (2;50) = 2.746068720255251466 zeta_cyc_plus (2;50) = 3.747022008987578936 derlog_zeta_cyc (2;50) = -1.729381826480873530 derlog_zeta_cyc_plus (2;50) = -1.997531282100905439 -------------------------- ****** COMPUTATION TIME ******** Precomputation time (hurwitz values): 0 min, 0 sec, 36 millisec Computation time: 0 min, 0 sec, 5 millisec -------------------------- -------------------------- ****** END PROGRAM ******** ? init_Zeta_cycl_interval();zeta_cyc(2,2,,100,19) Interval=[5,97] Performing precomputations of a/q for this prime interval Precomputation ratios: done ! Precomputation time (ratios): 0 min, 0 sec, 0 millisec The cases q=2,3 are directly computed Performing precomputations of zeta(s,a/q), zeta_prime(s,a/q) for this value of s s = 2 Precomputation Hurwitz: done ! q = 41 q = 83 ------------- zeta_cyc (2;100) = 2.798544461293060804 zeta_cyc_plus (2;100) = 3.814105939639725513 derlog_zeta_cyc (2;100) = -1.830630268991721312 derlog_zeta_cyc_plus (2;100) = -2.092941991096451277 -------------------------- ****** COMPUTATION TIME ******** Precomputation time (hurwitz values): 0 min, 0 sec, 110 millisec Computation time: 0 min, 0 sec, 25 millisec -------------------------- -------------------------- ****** END PROGRAM ******** ? init_Zeta_cycl_interval();zeta_cyc(2,2,,200,19) Interval=[5,199] Performing precomputations of a/q for this prime interval Precomputation ratios: done ! Precomputation time (ratios): 0 min, 0 sec, 3 millisec The cases q=2,3 are directly computed Performing precomputations of zeta(s,a/q), zeta_prime(s,a/q) for this value of s s = 2 Precomputation Hurwitz: done ! q = 41 q = 83 *** zeta_cyc: Warning: increasing stack size to 16000000. q = 137 q = 191 ------------- zeta_cyc (2;200) = 2.845659837321133999 zeta_cyc_plus (2;200) = 3.870212461799804018 derlog_zeta_cyc (2;200) = -1.932515521118679623 derlog_zeta_cyc_plus (2;200) = -2.183448704789260767 -------------------------- ****** COMPUTATION TIME ******** Precomputation time (hurwitz values): 0 min, 0 sec, 523 millisec Computation time: 0 min, 0 sec, 247 millisec -------------------------- -------------------------- ****** END PROGRAM ******** ? init_Zeta_cycl_interval();zeta_cyc(2,2,,300,19) Interval=[5,293] Performing precomputations of a/q for this prime interval Precomputation ratios: done ! Precomputation time (ratios): 0 min, 0 sec, 5 millisec The cases q=2,3 are directly computed Performing precomputations of zeta(s,a/q), zeta_prime(s,a/q) for this value of s s = 2 Precomputation Hurwitz: done ! q = 41 q = 83 *** zeta_cyc: Warning: increasing stack size to 16000000. *** zeta_cyc: Warning: increasing stack size to 32000000. q = 137 q = 191 q = 241 ------------- zeta_cyc (2;300) = 2.865718550334743828 zeta_cyc_plus (2;300) = 3.896482074806933919 derlog_zeta_cyc (2;300) = -1.979282508344746085 derlog_zeta_cyc_plus (2;300) = -2.228507592141348377 -------------------------- ****** COMPUTATION TIME ******** Precomputation time (hurwitz values): 0 min, 1 sec, 5 millisec Computation time: 0 min, 0 sec, 682 millisec -------------------------- -------------------------- ****** END PROGRAM ******** ? init_Zeta_cycl_interval();zeta_cyc(2,2,,400,19) Interval=[5,397] Performing precomputations of a/q for this prime interval Precomputation ratios: done ! Precomputation time (ratios): 0 min, 0 sec, 7 millisec The cases q=2,3 are directly computed Performing precomputations of zeta(s,a/q), zeta_prime(s,a/q) for this value of s s = 2 Precomputation Hurwitz: done ! q = 41 q = 83 *** zeta_cyc: Warning: increasing stack size to 16000000. *** zeta_cyc: Warning: increasing stack size to 32000000. q = 137 q = 191 q = 241 *** zeta_cyc: Warning: increasing stack size to 64000000. q = 307 *** zeta_cyc: Warning: increasing stack size to 128000000. q = 367 ------------- zeta_cyc (2;400) = 2.872237360771957674 zeta_cyc_plus (2;400) = 3.911569980693105048 derlog_zeta_cyc (2;400) = -1.996186403731717906 derlog_zeta_cyc_plus (2;400) = -2.255854633590822716 -------------------------- ****** COMPUTATION TIME ******** Precomputation time (hurwitz values): 0 min, 1 sec, 397 millisec Computation time: 0 min, 1 sec, 276 millisec -------------------------- -------------------------- ****** END PROGRAM ******** ? init_Zeta_cycl_interval();zeta_cyc(2,2,,500,19) Interval=[5,499] Performing precomputations of a/q for this prime interval Precomputation ratios: done ! Precomputation time (ratios): 0 min, 0 sec, 9 millisec The cases q=2,3 are directly computed Performing precomputations of zeta(s,a/q), zeta_prime(s,a/q) for this value of s s = 2 Precomputation Hurwitz: done ! q = 41 q = 83 *** zeta_cyc: Warning: increasing stack size to 16000000. q = 137 q = 191 *** zeta_cyc: Warning: increasing stack size to 32000000. *** zeta_cyc: Warning: increasing stack size to 64000000. q = 241 *** zeta_cyc: Warning: increasing stack size to 128000000. q = 307 q = 367 *** zeta_cyc: Warning: increasing stack size to 256000000. q = 431 q = 487 ------------- zeta_cyc (2;500) = 2.882783667883941097 zeta_cyc_plus (2;500) = 3.923967322738090642 derlog_zeta_cyc (2;500) = -2.022897226302807927 derlog_zeta_cyc_plus (2;500) = -2.279177432897398142 -------------------------- ****** COMPUTATION TIME ******** Precomputation time (hurwitz values): 0 min, 2 sec, 591 millisec Computation time: 0 min, 2 sec, 968 millisec -------------------------- -------------------------- ****** END PROGRAM ******** ? init_Zeta_cycl_interval();zeta_cyc(2,2,,1000,19) Interval=[5,997] Performing precomputations of a/q for this prime interval *** zeta_cyc: Warning: increasing stack size to 16000000. Precomputation ratios: done ! Precomputation time (ratios): 0 min, 0 sec, 94 millisec The cases q=2,3 are directly computed Performing precomputations of zeta(s,a/q), zeta_prime(s,a/q) for this value of s s = 2 *** zeta_cyc: Warning: increasing stack size to 32000000. Precomputation Hurwitz: done ! q = 41 q = 83 q = 137 q = 191 *** zeta_cyc: Warning: increasing stack size to 64000000. q = 241 *** zeta_cyc: Warning: increasing stack size to 128000000. q = 307 q = 367 q = 431 *** zeta_cyc: Warning: increasing stack size to 256000000. q = 487 q = 563 q = 617 *** zeta_cyc: Warning: increasing stack size to 512000000. q = 677 q = 751 q = 823 q = 883 *** zeta_cyc: Warning: increasing stack size to 1024000000. q = 967 ------------- zeta_cyc (2;1000) = 2.904775280591803923 zeta_cyc_plus (2;1000) = 3.956418336575033778 derlog_zeta_cyc (2;1000) = -2.082582269161432731 derlog_zeta_cyc_plus (2;1000) = -2.343706542327208692 -------------------------- ****** COMPUTATION TIME ******** Precomputation time (hurwitz values): 0 min, 9 sec, 139 millisec Computation time: 0 min, 20 sec, 511 millisec -------------------------- -------------------------- ****** END PROGRAM ******** ? init_Zeta_cycl_interval();zeta_cyc(2,2,,2000,19) Interval=[5,1999] Performing precomputations of a/q for this prime interval *** zeta_cyc: Warning: increasing stack size to 16000000. *** zeta_cyc: Warning: increasing stack size to 32000000. Precomputation ratios: done ! Precomputation time (ratios): 0 min, 0 sec, 889 millisec The cases q=2,3 are directly computed Performing precomputations of zeta(s,a/q), zeta_prime(s,a/q) for this value of s s = 2 *** zeta_cyc: Warning: increasing stack size to 64000000. *** zeta_cyc: Warning: increasing stack size to 128000000. Precomputation Hurwitz: done ! q = 41 q = 83 q = 137 q = 191 q = 241 q = 307 q = 367 q = 431 *** zeta_cyc: Warning: increasing stack size to 256000000. q = 487 *** zeta_cyc: Warning: increasing stack size to 512000000. q = 563 q = 617 q = 677 *** zeta_cyc: Warning: increasing stack size to 1024000000. q = 751 q = 823 q = 883 q = 967 q = 1031 *** zeta_cyc: Warning: increasing stack size to 2048000000. q = 1093 q = 1171 q = 1237 q = 1303 q = 1409 q = 1471 q = 1543 q = 1607 q = 1669 q = 1753 q = 1847 q = 1913 *** zeta_cyc: Warning: increasing stack size to 4096000000. q = 1999 ------------- zeta_cyc (2;2000) = 2.925927575361617895 zeta_cyc_plus (2;2000) = 3.982339505350661732 derlog_zeta_cyc (2;2000) = -2.144335920367196151 derlog_zeta_cyc_plus (2;2000) = -2.399607391030940427 -------------------------- ****** COMPUTATION TIME ******** Precomputation time (hurwitz values): 0 min, 27 sec, 717 millisec Computation time: 2 min, 6 sec, 290 millisec -------------------------- -------------------------- ****** END PROGRAM ******** ? init_Zeta_cycl_interval();zeta_cyc(2,2,,3000,19) Interval=[5,2999] Performing precomputations of a/q for this prime interval *** zeta_cyc: Warning: increasing stack size to 16000000. *** zeta_cyc: Warning: increasing stack size to 32000000. *** zeta_cyc: Warning: increasing stack size to 64000000. Precomputation ratios: done ! Precomputation time (ratios): 0 min, 2 sec, 932 millisec The cases q=2,3 are directly computed Performing precomputations of zeta(s,a/q), zeta_prime(s,a/q) for this value of s s = 2 *** zeta_cyc: Warning: increasing stack size to 128000000. *** zeta_cyc: Warning: increasing stack size to 256000000. Precomputation Hurwitz: done ! q = 41 q = 83 q = 137 q = 191 q = 241 q = 307 q = 367 *** zeta_cyc: Warning: increasing stack size to 512000000. q = 431 q = 487 q = 563 q = 617 q = 677 q = 751 *** zeta_cyc: Warning: increasing stack size to 1024000000. q = 823 q = 883 q = 967 q = 1031 q = 1093 q = 1171 *** zeta_cyc: Warning: increasing stack size to 2048000000. q = 1237 q = 1303 q = 1409 q = 1471 *** zeta_cyc: Warning: increasing stack size to 4096000000. q = 1543 q = 1607 q = 1669 q = 1753 q = 1847 q = 1913 q = 1999 q = 2081 q = 2141 q = 2239 q = 2309 q = 2381 q = 2447 q = 2549 q = 2647 q = 2699 *** zeta_cyc: Warning: increasing stack size to 8192000000. q = 2767 q = 2843 q = 2927 ------------- zeta_cyc (2;3000) = 2.936885558310011772 zeta_cyc_plus (2;3000) = 3.996641465601847500 derlog_zeta_cyc (2;3000) = -2.178163632113629424 derlog_zeta_cyc_plus (2;3000) = -2.432106600280011317 -------------------------- ****** COMPUTATION TIME ******** Precomputation time (hurwitz values): 0 min, 59 sec, 652 millisec Computation time: 6 min, 59 sec, 119 millisec -------------------------- -------------------------- ****** END PROGRAM ******** ? init_Zeta_cycl_interval();zeta_cyc(2,2,,4000,19) Interval=[5,3989] Performing precomputations of a/q for this prime interval *** zeta_cyc: Warning: increasing stack size to 16000000. *** zeta_cyc: Warning: increasing stack size to 32000000. *** zeta_cyc: Warning: increasing stack size to 64000000. *** zeta_cyc: Warning: increasing stack size to 128000000. Precomputation ratios: done ! Precomputation time (ratios): 0 min, 5 sec, 920 millisec The cases q=2,3 are directly computed Performing precomputations of zeta(s,a/q), zeta_prime(s,a/q) for this value of s s = 2 *** zeta_cyc: Warning: increasing stack size to 256000000. Precomputation Hurwitz: done ! q = 41 q = 83 q = 137 *** zeta_cyc: Warning: increasing stack size to 512000000. q = 191 q = 241 q = 307 q = 367 q = 431 q = 487 q = 563 q = 617 q = 677 q = 751 q = 823 q = 883 q = 967 *** zeta_cyc: Warning: increasing stack size to 1024000000. q = 1031 q = 1093 *** zeta_cyc: Warning: increasing stack size to 2048000000. q = 1171 q = 1237 q = 1303 q = 1409 q = 1471 q = 1543 q = 1607 q = 1669 *** zeta_cyc: Warning: increasing stack size to 4096000000. q = 1753 q = 1847 q = 1913 q = 1999 q = 2081 q = 2141 q = 2239 q = 2309 q = 2381 q = 2447 *** zeta_cyc: Warning: increasing stack size to 8192000000. q = 2549 q = 2647 q = 2699 q = 2767 q = 2843 q = 2927 q = 3019 q = 3109 q = 3203 q = 3299 q = 3359 q = 3457 q = 3529 q = 3593 *** zeta_cyc: Warning: increasing stack size to 16384000000. q = 3673 q = 3761 q = 3847 q = 3919 ------------- zeta_cyc (2;4000) = 2.943516772099290489 zeta_cyc_plus (2;4000) = 4.006218912815937932 derlog_zeta_cyc (2;4000) = -2.199535124703488133 derlog_zeta_cyc_plus (2;4000) = -2.454686679968413239 -------------------------- ****** COMPUTATION TIME ******** Precomputation time (hurwitz values): 2 min, 4 sec, 520 millisec Computation time: 17 min, 41 sec, 435 millisec -------------------------- -------------------------- ****** END PROGRAM ******** ? init_Zeta_cycl_interval();zeta_cyc(2,2,,5000,19) Interval=[5,4999] Performing precomputations of a/q for this prime interval *** zeta_cyc: Warning: increasing stack size to 16000000. *** zeta_cyc: Warning: increasing stack size to 32000000. *** zeta_cyc: Warning: increasing stack size to 64000000. *** zeta_cyc: Warning: increasing stack size to 128000000. *** zeta_cyc: Warning: increasing stack size to 256000000. Precomputation ratios: done ! Precomputation time (ratios): 0 min, 10 sec, 0 millisec The cases q=2,3 are directly computed Performing precomputations of zeta(s,a/q), zeta_prime(s,a/q) for this value of s s = 2 *** zeta_cyc: Warning: increasing stack size to 512000000. Precomputation Hurwitz: done ! q = 41 q = 83 q = 137 q = 191 *** zeta_cyc: Warning: increasing stack size to 1024000000. q = 241 q = 307 q = 367 q = 431 q = 487 q = 563 q = 617 q = 677 q = 751 q = 823 q = 883 *** zeta_cyc: Warning: increasing stack size to 2048000000. q = 967 q = 1031 q = 1093 q = 1171 q = 1237 q = 1303 q = 1409 q = 1471 q = 1543 q = 1607 q = 1669 *** zeta_cyc: Warning: increasing stack size to 4096000000. q = 1753 q = 1847 q = 1913 q = 1999 q = 2081 q = 2141 q = 2239 q = 2309 q = 2381 q = 2447 q = 2549 *** zeta_cyc: Warning: increasing stack size to 8192000000. q = 2647 q = 2699 q = 2767 q = 2843 q = 2927 q = 3019 q = 3109 q = 3203 q = 3299 q = 3359 q = 3457 q = 3529 *** zeta_cyc: Warning: increasing stack size to 16384000000. q = 3593 q = 3673 q = 3761 q = 3847 q = 3919 q = 4007 q = 4091 q = 4159 q = 4253 q = 4339 q = 4441 q = 4517 q = 4603 q = 4679 q = 4787 q = 4877 q = 4957 ------------- zeta_cyc (2;5000) = 2.947891112126252076 zeta_cyc_plus (2;5000) = 4.012946745661059655 derlog_zeta_cyc (2;5000) = -2.214108822648908899 derlog_zeta_cyc_plus (2;5000) = -2.470988244729527707 -------------------------- ****** COMPUTATION TIME ******** Precomputation time (hurwitz values): 2 min, 35 sec, 105 millisec Computation time: 31 min, 5 sec, 931 millisec -------------------------- -------------------------- ****** END PROGRAM ******** ? init_Zeta_cycl_interval();zeta_cyc(2,2,,7500,19) Interval=[5,7499] Performing precomputations of a/q for this prime interval *** zeta_cyc: Warning: increasing stack size to 16000000. *** zeta_cyc: Warning: increasing stack size to 32000000. *** zeta_cyc: Warning: increasing stack size to 64000000. *** zeta_cyc: Warning: increasing stack size to 128000000. *** zeta_cyc: Warning: increasing stack size to 256000000. *** zeta_cyc: Warning: increasing stack size to 512000000. Precomputation ratios: done ! Precomputation time (ratios): 0 min, 29 sec, 340 millisec The cases q=2,3 are directly computed Performing precomputations of zeta(s,a/q), zeta_prime(s,a/q) for this value of s s = 2 *** zeta_cyc: Warning: increasing stack size to 1024000000. Precomputation Hurwitz: done ! q = 41 q = 83 q = 137 q = 191 q = 241 *** zeta_cyc: Warning: increasing stack size to 2048000000. q = 307 q = 367 q = 431 q = 487 q = 563 q = 617 q = 677 q = 751 q = 823 q = 883 q = 967 q = 1031 q = 1093 q = 1171 q = 1237 q = 1303 *** zeta_cyc: Warning: increasing stack size to 4096000000. q = 1409 q = 1471 q = 1543 q = 1607 q = 1669 q = 1753 q = 1847 q = 1913 q = 1999 q = 2081 q = 2141 q = 2239 q = 2309 *** zeta_cyc: Warning: increasing stack size to 8192000000. q = 2381 q = 2447 q = 2549 q = 2647 q = 2699 q = 2767 q = 2843 q = 2927 q = 3019 q = 3109 q = 3203 q = 3299 q = 3359 q = 3457 *** zeta_cyc: Warning: increasing stack size to 16384000000. q = 3529 q = 3593 q = 3673 q = 3761 q = 3847 q = 3919 q = 4007 q = 4091 q = 4159 q = 4253 q = 4339 q = 4441 q = 4517 q = 4603 q = 4679 q = 4787 q = 4877 q = 4957 q = 5021 *** zeta_cyc: Warning: increasing stack size to 32768000000. q = 5107 q = 5209 q = 5303 q = 5407 q = 5477 q = 5557 q = 5651 q = 5717 q = 5813 q = 5869 q = 5987 q = 6079 q = 6163 q = 6257 q = 6323 q = 6389 q = 6521 q = 6599 q = 6691 q = 6781 q = 6863 q = 6959 q = 7019 *** zeta_cyc: Warning: increasing stack size to 58000003072. q = 7127 q = 7219 q = 7321 q = 7451 ------------- zeta_cyc (2;7500) = 2.956667939230761846 zeta_cyc_plus (2;7500) = 4.024436506267927284 derlog_zeta_cyc (2;7500) = -2.243761273278863457 derlog_zeta_cyc_plus (2;7500) = -2.499623038030987472 -------------------------- ****** COMPUTATION TIME ******** Precomputation time (hurwitz values): 5 min, 35 sec, 782 millisec Computation time: 100 min, 5 sec, 160 millisec -------------------------- -------------------------- ****** END PROGRAM ********