{"metadata":{"link_name":"zeros of \(\zeta'\)", "type":"contributed data", "related_to":"/L/Riemann", "data_format":"pairs of floating point numbers, representing the real and imaginary parts of a zero of a derivative of the Riemann zeta function", "full_description":"Zeros of the derivative of the Riemann zeta function having imaginary part between 1,000,000 and 1,000,100. A total of 179 zeros", "attribution":{"creator":"David W. Farmer", "paper":"Roots of the derivative of the {R}iemann-zeta function and of characteristic polynomials", "bibtex":"@article {MR2683784, AUTHOR = {Due{\~n}ez, Eduardo and Farmer, David W. and Froehlich, Sara and Hughes, C. P. and Mezzadri, Francesco and Phan, Toan}, TITLE = {Roots of the derivative of the {R}iemann-zeta function and of characteristic polynomials}, JOURNAL = {Nonlinearity}, FJOURNAL = {Nonlinearity}, VOLUME = {23}, YEAR = {2010}, NUMBER = {10}, PAGES = {2599--2621}, ISSN = {0951-7715}, CODEN = {NONLE5}, MRCLASS = {11M50 (15B52)}, MRNUMBER = {2683784}, DOI = {10.1088/0951-7715/23/10/014}, URL = {http://dx.doi.org/10.1088/0951-7715/23/10/014}, }" }, "data_tag_name":"zeta_prime_data_farmer"}} {"zeta_prime_data_farmer":"1.183818 1000000.4658 0.549069 1000000.7053 0.759393 1000001.3306 0.673561 1000001.7890 0.656023 1000002.9987 0.742063 1000003.4709 0.771397 1000003.9413 0.627087 1000004.5915 0.693596 1000005.0454 0.731601 1000005.5258 0.691367 1000006.0173 0.928212 1000006.5300 0.589675 1000006.9842 0.636723 1000007.4561 0.766149 1000008.4123 0.781722 1000008.8757 2.064323 1000009.7057 0.590603 1000009.7716 0.535457 1000010.1181 0.680506 1000010.7257 0.606352 1000011.9084 0.812732 1000012.3499 1.196239 1000012.9011 0.721239 1000012.9232 0.594953 1000014.0091 0.709785 1000014.4659 0.694469 1000014.9864 1.532592 1000015.1905 0.586287 1000016.0753 0.892486 1000016.4296 0.566832 1000017.0758 0.546347 1000017.3940 0.647937 1000017.8857 0.659057 1000018.4335 0.716555 1000019.3010 0.605543 1000020.3524 0.730731 1000020.8338 0.944577 1000020.9566 0.515353 1000022.0044 0.605273 1000022.3246 0.944656 1000022.9167 0.642736 1000023.3305 1.114661 1000023.9831 0.677501 1000024.3659 0.831812 1000025.0005 0.798821 1000025.5529 1.507998 1000025.8690 0.506219 1000026.4570 0.946445 1000027.2072 0.769426 1000027.4974 0.785243 1000028.0922 0.706490 1000028.6009 0.589720 1000029.7342 1.660708 1000029.9390 0.531293 1000030.0787 0.717259 1000030.8499 0.643015 1000031.9244 0.657665 1000032.4224 0.553798 1000032.9057 0.634333 1000033.2972 0.693341 1000033.8022 0.940358 1000034.3629 0.555987 1000034.7435 0.785054 1000035.5414 1.045777 1000036.0662 0.631740 1000036.3647 0.865293 1000037.1440 0.648551 1000037.4432 0.650990 1000038.6616 0.775338 1000039.0803 0.690095 1000039.6827 0.660027 1000040.1941 0.800425 1000040.6801 0.667196 1000041.1673 0.762062 1000041.7465 0.717013 1000042.2751 2.336774 1000042.5237 0.628981 1000043.3532 0.608140 1000043.8108 0.929760 1000044.3214 0.601054 1000044.7874 1.044739 1000045.3477 0.564241 1000045.8095 0.581204 1000046.1793 0.684199 1000046.9090 0.539063 1000048.2184 0.877003 1000048.4942 0.649950 1000049.1829 0.646747 1000049.6590 0.614964 1000050.1042 1.420134 1000050.6223 0.762398 1000050.9789 0.585485 1000051.7840 0.507575 1000052.1022 0.674488 1000052.6086 0.704605 1000053.1790 0.956006 1000054.0285 0.645198 1000054.2064 0.741643 1000054.9974 0.672343 1000055.9077 0.505389 1000056.4199 1.851360 1000057.0168 0.997029 1000057.1016 0.610187 1000057.4177 0.617707 1000058.5874 0.757200 1000059.0463 0.637984 1000059.5460 1.535244 1000059.6576 0.700493 1000060.5936 0.587687 1000061.2035 0.555029 1000061.5594 0.913395 1000062.3123 0.849662 1000062.5506 0.542253 1000063.0524 0.842076 1000063.9549 0.893994 1000064.1880 0.575887 1000064.6167 0.720620 1000065.5558 0.524282 1000066.5842 0.916407 1000066.8900 0.743134 1000067.4133 0.524663 1000068.1323 0.581223 1000068.4390 0.905431 1000069.0250 0.643186 1000069.4299 0.545679 1000069.8006 0.692898 1000071.0335 2.302828 1000071.3330 0.730137 1000071.5593 0.607567 1000072.1211 0.599192 1000072.5297 0.663459 1000073.0748 0.669070 1000074.2199 0.919322 1000074.3631 0.685221 1000075.3014 0.714075 1000075.8263 1.564380 1000076.0966 0.665681 1000076.3445 0.715965 1000077.3613 0.617983 1000078.0230 0.722291 1000078.4879 0.881482 1000078.8843 0.527960 1000079.4592 0.953460 1000079.9901 0.602282 1000080.4366 0.591217 1000080.8395 0.864915 1000081.5962 0.558939 1000081.8675 0.703904 1000083.0705 0.588499 1000083.7859 0.957015 1000084.0063 0.537462 1000084.8955 0.674602 1000085.2996 0.787233 1000085.8866 1.276329 1000086.2817 0.719199 1000086.8247 1.071933 1000087.2364 0.789539 1000087.7563 0.598077 1000088.3769 0.522973 1000088.6926 2.197142 1000089.8356 0.580862 1000090.0560 0.785166 1000090.4362 0.531247 1000090.9535 0.616519 1000091.3649 0.987421 1000092.2827 0.543176 1000092.4652 0.726296 1000093.4691 0.689339 1000094.2443 0.661077 1000094.8277 0.744361 1000095.2820 0.695216 1000095.7951 0.627509 1000096.2789 0.719040 1000096.7865 0.740165 1000097.3385 1.239559 1000097.7452 0.547801 1000098.3466 0.540102 1000098.6322 0.730276 1000099.4882"}