Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [197,3,Mod(14,197)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(197, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("197.14");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 197 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 197.c (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.36786120790\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 14.13 | ||
Character | \(\chi\) | \(=\) | 197.14 |
Dual form | 197.3.c.a.183.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.770755 | + | 0.770755i | −0.385377 | + | 0.385377i | −0.873035 | − | 0.487658i | \(-0.837851\pi\) |
0.487658 | + | 0.873035i | \(0.337851\pi\) | |||||||
\(3\) | 4.07862 | − | 4.07862i | 1.35954 | − | 1.35954i | 0.485055 | − | 0.874484i | \(-0.338800\pi\) |
0.874484 | − | 0.485055i | \(-0.161200\pi\) | |||||||
\(4\) | 2.81187i | 0.702969i | ||||||||
\(5\) | −1.79164 | + | 1.79164i | −0.358328 | + | 0.358328i | −0.863197 | − | 0.504868i | \(-0.831541\pi\) |
0.504868 | + | 0.863197i | \(0.331541\pi\) | |||||||
\(6\) | 6.28722i | 1.04787i | ||||||||
\(7\) | − | 12.4564i | − | 1.77948i | −0.456469 | − | 0.889739i | \(-0.650886\pi\) | ||
0.456469 | − | 0.889739i | \(-0.349114\pi\) | |||||||
\(8\) | −5.25028 | − | 5.25028i | −0.656285 | − | 0.656285i | ||||
\(9\) | − | 24.2702i | − | 2.69669i | ||||||
\(10\) | − | 2.76183i | − | 0.276183i | ||||||
\(11\) | −3.64909 | + | 3.64909i | −0.331735 | + | 0.331735i | −0.853245 | − | 0.521510i | \(-0.825369\pi\) |
0.521510 | + | 0.853245i | \(0.325369\pi\) | |||||||
\(12\) | 11.4686 | + | 11.4686i | 0.955713 | + | 0.955713i | ||||
\(13\) | 7.29392 | − | 7.29392i | 0.561071 | − | 0.561071i | −0.368541 | − | 0.929612i | \(-0.620142\pi\) |
0.929612 | + | 0.368541i | \(0.120142\pi\) | |||||||
\(14\) | 9.60079 | + | 9.60079i | 0.685771 | + | 0.685771i | ||||
\(15\) | 14.6148i | 0.974323i | ||||||||
\(16\) | −3.15414 | −0.197134 | ||||||||
\(17\) | 20.8492 | + | 20.8492i | 1.22642 | + | 1.22642i | 0.965307 | + | 0.261117i | \(0.0840908\pi\) |
0.261117 | + | 0.965307i | \(0.415909\pi\) | |||||||
\(18\) | 18.7064 | + | 18.7064i | 1.03924 | + | 1.03924i | ||||
\(19\) | − | 18.2804i | − | 0.962129i | −0.876685 | − | 0.481064i | \(-0.840250\pi\) | ||
0.876685 | − | 0.481064i | \(-0.159750\pi\) | |||||||
\(20\) | −5.03787 | − | 5.03787i | −0.251894 | − | 0.251894i | ||||
\(21\) | −50.8047 | − | 50.8047i | −2.41927 | − | 2.41927i | ||||
\(22\) | − | 5.62510i | − | 0.255686i | ||||||
\(23\) | 13.8824 | 0.603582 | 0.301791 | − | 0.953374i | \(-0.402415\pi\) | ||||
0.301791 | + | 0.953374i | \(0.402415\pi\) | |||||||
\(24\) | −42.8278 | −1.78449 | ||||||||
\(25\) | 18.5800i | 0.743201i | ||||||||
\(26\) | 11.2436i | 0.432448i | ||||||||
\(27\) | −62.2814 | − | 62.2814i | −2.30672 | − | 2.30672i | ||||
\(28\) | 35.0257 | 1.25092 | ||||||||
\(29\) | 16.1967 | 0.558507 | 0.279254 | − | 0.960217i | \(-0.409913\pi\) | ||||
0.279254 | + | 0.960217i | \(0.409913\pi\) | |||||||
\(30\) | −11.2645 | − | 11.2645i | −0.375482 | − | 0.375482i | ||||
\(31\) | −18.8855 | + | 18.8855i | −0.609211 | + | 0.609211i | −0.942740 | − | 0.333529i | \(-0.891760\pi\) |
0.333529 | + | 0.942740i | \(0.391760\pi\) | |||||||
\(32\) | 23.4322 | − | 23.4322i | 0.732256 | − | 0.732256i | ||||
\(33\) | 29.7665i | 0.902014i | ||||||||
\(34\) | −32.1392 | −0.945272 | ||||||||
\(35\) | 22.3173 | + | 22.3173i | 0.637638 | + | 0.637638i | ||||
\(36\) | 68.2448 | 1.89569 | ||||||||
\(37\) | 3.02209 | 0.0816781 | 0.0408391 | − | 0.999166i | \(-0.486997\pi\) | ||||
0.0408391 | + | 0.999166i | \(0.486997\pi\) | |||||||
\(38\) | 14.0897 | + | 14.0897i | 0.370783 | + | 0.370783i | ||||
\(39\) | − | 59.4982i | − | 1.52560i | ||||||
\(40\) | 18.8133 | 0.470332 | ||||||||
\(41\) | − | 5.69712i | − | 0.138954i | −0.997584 | − | 0.0694771i | \(-0.977867\pi\) | ||
0.997584 | − | 0.0694771i | \(-0.0221331\pi\) | |||||||
\(42\) | 78.3159 | 1.86466 | ||||||||
\(43\) | 29.5375i | 0.686918i | 0.939168 | + | 0.343459i | \(0.111599\pi\) | ||||
−0.939168 | + | 0.343459i | \(0.888401\pi\) | |||||||
\(44\) | −10.2608 | − | 10.2608i | −0.233199 | − | 0.233199i | ||||
\(45\) | 43.4836 | + | 43.4836i | 0.966301 | + | 0.966301i | ||||
\(46\) | −10.6999 | + | 10.6999i | −0.232607 | + | 0.232607i | ||||
\(47\) | 22.9806i | 0.488948i | 0.969656 | + | 0.244474i | \(0.0786153\pi\) | ||||
−0.969656 | + | 0.244474i | \(0.921385\pi\) | |||||||
\(48\) | −12.8645 | + | 12.8645i | −0.268011 | + | 0.268011i | ||||
\(49\) | −106.161 | −2.16654 | ||||||||
\(50\) | −14.3206 | − | 14.3206i | −0.286413 | − | 0.286413i | ||||
\(51\) | 170.072 | 3.33474 | ||||||||
\(52\) | 20.5096 | + | 20.5096i | 0.394415 | + | 0.394415i | ||||
\(53\) | −41.2966 | −0.779180 | −0.389590 | − | 0.920988i | \(-0.627383\pi\) | ||||
−0.389590 | + | 0.920988i | \(0.627383\pi\) | |||||||
\(54\) | 96.0073 | 1.77791 | ||||||||
\(55\) | − | 13.0757i | − | 0.237740i | ||||||
\(56\) | −65.3994 | + | 65.3994i | −1.16785 | + | 1.16785i | ||||
\(57\) | −74.5589 | − | 74.5589i | −1.30805 | − | 1.30805i | ||||
\(58\) | −12.4837 | + | 12.4837i | −0.215236 | + | 0.215236i | ||||
\(59\) | 88.3938 | 1.49820 | 0.749100 | − | 0.662457i | \(-0.230486\pi\) | ||||
0.749100 | + | 0.662457i | \(0.230486\pi\) | |||||||
\(60\) | −41.0951 | −0.684919 | ||||||||
\(61\) | −31.4183 | −0.515054 | −0.257527 | − | 0.966271i | \(-0.582908\pi\) | ||||
−0.257527 | + | 0.966271i | \(0.582908\pi\) | |||||||
\(62\) | − | 29.1122i | − | 0.469552i | ||||||
\(63\) | −302.318 | −4.79870 | ||||||||
\(64\) | 23.5044i | 0.367256i | ||||||||
\(65\) | 26.1362i | 0.402095i | ||||||||
\(66\) | −22.9426 | − | 22.9426i | −0.347616 | − | 0.347616i | ||||
\(67\) | 16.9321 | − | 16.9321i | 0.252717 | − | 0.252717i | −0.569366 | − | 0.822084i | \(-0.692811\pi\) |
0.822084 | + | 0.569366i | \(0.192811\pi\) | |||||||
\(68\) | −58.6254 | + | 58.6254i | −0.862138 | + | 0.862138i | ||||
\(69\) | 56.6210 | − | 56.6210i | 0.820594 | − | 0.820594i | ||||
\(70\) | −34.4024 | −0.491462 | ||||||||
\(71\) | 41.9412 | + | 41.9412i | 0.590721 | + | 0.590721i | 0.937826 | − | 0.347105i | \(-0.112835\pi\) |
−0.347105 | + | 0.937826i | \(0.612835\pi\) | |||||||
\(72\) | −127.426 | + | 127.426i | −1.76980 | + | 1.76980i | ||||
\(73\) | −30.0329 | + | 30.0329i | −0.411410 | + | 0.411410i | −0.882230 | − | 0.470819i | \(-0.843958\pi\) |
0.470819 | + | 0.882230i | \(0.343958\pi\) | |||||||
\(74\) | −2.32929 | + | 2.32929i | −0.0314769 | + | 0.0314769i | ||||
\(75\) | 75.7808 | + | 75.7808i | 1.01041 | + | 1.01041i | ||||
\(76\) | 51.4023 | 0.676346 | ||||||||
\(77\) | 45.4543 | + | 45.4543i | 0.590316 | + | 0.590316i | ||||
\(78\) | 45.8585 | + | 45.8585i | 0.587930 | + | 0.587930i | ||||
\(79\) | 99.8739 | + | 99.8739i | 1.26423 | + | 1.26423i | 0.949024 | + | 0.315203i | \(0.102072\pi\) |
0.315203 | + | 0.949024i | \(0.397928\pi\) | |||||||
\(80\) | 5.65109 | − | 5.65109i | 0.0706386 | − | 0.0706386i | ||||
\(81\) | −289.612 | −3.57545 | ||||||||
\(82\) | 4.39108 | + | 4.39108i | 0.0535498 | + | 0.0535498i | ||||
\(83\) | 64.8005i | 0.780729i | 0.920660 | + | 0.390364i | \(0.127651\pi\) | ||||
−0.920660 | + | 0.390364i | \(0.872349\pi\) | |||||||
\(84\) | 142.856 | − | 142.856i | 1.70067 | − | 1.70067i | ||||
\(85\) | −74.7087 | −0.878925 | ||||||||
\(86\) | −22.7661 | − | 22.7661i | −0.264722 | − | 0.264722i | ||||
\(87\) | 66.0601 | − | 66.0601i | 0.759312 | − | 0.759312i | ||||
\(88\) | 38.3175 | 0.435426 | ||||||||
\(89\) | −91.0809 | − | 91.0809i | −1.02338 | − | 1.02338i | −0.999720 | − | 0.0236614i | \(-0.992468\pi\) |
−0.0236614 | − | 0.999720i | \(-0.507532\pi\) | |||||||
\(90\) | −67.0303 | −0.744781 | ||||||||
\(91\) | −90.8556 | − | 90.8556i | −0.998414 | − | 0.998414i | ||||
\(92\) | 39.0356i | 0.424299i | ||||||||
\(93\) | 154.054i | 1.65649i | ||||||||
\(94\) | −17.7124 | − | 17.7124i | −0.188430 | − | 0.188430i | ||||
\(95\) | 32.7520 | + | 32.7520i | 0.344758 | + | 0.344758i | ||||
\(96\) | − | 191.142i | − | 1.99106i | ||||||
\(97\) | − | 43.2796i | − | 0.446181i | −0.974798 | − | 0.223091i | \(-0.928385\pi\) | ||
0.974798 | − | 0.223091i | \(-0.0716146\pi\) | |||||||
\(98\) | 81.8238 | − | 81.8238i | 0.834937 | − | 0.834937i | ||||
\(99\) | 88.5642 | + | 88.5642i | 0.894587 | + | 0.894587i | ||||
\(100\) | −52.2447 | −0.522447 | ||||||||
\(101\) | 24.0889 | 0.238504 | 0.119252 | − | 0.992864i | \(-0.461950\pi\) | ||||
0.119252 | + | 0.992864i | \(0.461950\pi\) | |||||||
\(102\) | −131.084 | + | 131.084i | −1.28513 | + | 1.28513i | ||||
\(103\) | 56.5935 | − | 56.5935i | 0.549451 | − | 0.549451i | −0.376831 | − | 0.926282i | \(-0.622986\pi\) |
0.926282 | + | 0.376831i | \(0.122986\pi\) | |||||||
\(104\) | −76.5903 | −0.736445 | ||||||||
\(105\) | 182.048 | 1.73379 | ||||||||
\(106\) | 31.8295 | − | 31.8295i | 0.300278 | − | 0.300278i | ||||
\(107\) | 37.4639i | 0.350130i | 0.984557 | + | 0.175065i | \(0.0560136\pi\) | ||||
−0.984557 | + | 0.175065i | \(0.943986\pi\) | |||||||
\(108\) | 175.127 | − | 175.127i | 1.62155 | − | 1.62155i | ||||
\(109\) | 10.0860i | 0.0925321i | 0.998929 | + | 0.0462661i | \(0.0147322\pi\) | ||||
−0.998929 | + | 0.0462661i | \(0.985268\pi\) | |||||||
\(110\) | 10.0782 | + | 10.0782i | 0.0916197 | + | 0.0916197i | ||||
\(111\) | 12.3260 | − | 12.3260i | 0.111045 | − | 0.111045i | ||||
\(112\) | 39.2891i | 0.350795i | ||||||||
\(113\) | 144.737 | + | 144.737i | 1.28086 | + | 1.28086i | 0.940181 | + | 0.340677i | \(0.110656\pi\) |
0.340677 | + | 0.940181i | \(0.389344\pi\) | |||||||
\(114\) | 114.933 | 1.00819 | ||||||||
\(115\) | −24.8723 | + | 24.8723i | −0.216281 | + | 0.216281i | ||||
\(116\) | 45.5431i | 0.392613i | ||||||||
\(117\) | −177.025 | − | 177.025i | −1.51303 | − | 1.51303i | ||||
\(118\) | −68.1299 | + | 68.1299i | −0.577372 | + | 0.577372i | ||||
\(119\) | 259.705 | − | 259.705i | 2.18240 | − | 2.18240i | ||||
\(120\) | 76.7321 | − | 76.7321i | 0.639434 | − | 0.639434i | ||||
\(121\) | 94.3683i | 0.779903i | ||||||||
\(122\) | 24.2158 | − | 24.2158i | 0.198490 | − | 0.198490i | ||||
\(123\) | −23.2364 | − | 23.2364i | −0.188914 | − | 0.188914i | ||||
\(124\) | −53.1037 | − | 53.1037i | −0.428256 | − | 0.428256i | ||||
\(125\) | −78.0798 | − | 78.0798i | −0.624639 | − | 0.624639i | ||||
\(126\) | 233.013 | − | 233.013i | 1.84931 | − | 1.84931i | ||||
\(127\) | − | 190.593i | − | 1.50073i | −0.661023 | − | 0.750365i | \(-0.729878\pi\) | ||
0.661023 | − | 0.750365i | \(-0.270122\pi\) | |||||||
\(128\) | 75.6127 | + | 75.6127i | 0.590724 | + | 0.590724i | ||||
\(129\) | 120.472 | + | 120.472i | 0.933891 | + | 0.933891i | ||||
\(130\) | −20.1446 | − | 20.1446i | −0.154958 | − | 0.154958i | ||||
\(131\) | 56.6884 | − | 56.6884i | 0.432736 | − | 0.432736i | −0.456822 | − | 0.889558i | \(-0.651013\pi\) |
0.889558 | + | 0.456822i | \(0.151013\pi\) | |||||||
\(132\) | −83.6995 | −0.634087 | ||||||||
\(133\) | −227.708 | −1.71209 | ||||||||
\(134\) | 26.1009i | 0.194783i | ||||||||
\(135\) | 223.172 | 1.65313 | ||||||||
\(136\) | − | 218.929i | − | 1.60977i | ||||||
\(137\) | 176.470i | 1.28810i | 0.764983 | + | 0.644050i | \(0.222747\pi\) | ||||
−0.764983 | + | 0.644050i | \(0.777253\pi\) | |||||||
\(138\) | 87.2817i | 0.632476i | ||||||||
\(139\) | 111.899 | + | 111.899i | 0.805028 | + | 0.805028i | 0.983877 | − | 0.178849i | \(-0.0572374\pi\) |
−0.178849 | + | 0.983877i | \(0.557237\pi\) | |||||||
\(140\) | −62.7535 | + | 62.7535i | −0.448240 | + | 0.448240i | ||||
\(141\) | 93.7289 | + | 93.7289i | 0.664744 | + | 0.664744i | ||||
\(142\) | −64.6527 | −0.455301 | ||||||||
\(143\) | 53.2323i | 0.372254i | ||||||||
\(144\) | 76.5517i | 0.531609i | ||||||||
\(145\) | −29.0187 | + | 29.0187i | −0.200129 | + | 0.200129i | ||||
\(146\) | − | 46.2961i | − | 0.317096i | ||||||
\(147\) | −432.989 | + | 432.989i | −2.94550 | + | 2.94550i | ||||
\(148\) | 8.49774i | 0.0574172i | ||||||||
\(149\) | −64.1689 | − | 64.1689i | −0.430664 | − | 0.430664i | 0.458190 | − | 0.888854i | \(-0.348498\pi\) |
−0.888854 | + | 0.458190i | \(0.848498\pi\) | |||||||
\(150\) | −116.817 | −0.778779 | ||||||||
\(151\) | −189.569 | − | 189.569i | −1.25543 | − | 1.25543i | −0.953253 | − | 0.302173i | \(-0.902288\pi\) |
−0.302173 | − | 0.953253i | \(-0.597712\pi\) | |||||||
\(152\) | −95.9775 | + | 95.9775i | −0.631431 | + | 0.631431i | ||||
\(153\) | 506.015 | − | 506.015i | 3.30729 | − | 3.30729i | ||||
\(154\) | −70.0682 | −0.454989 | ||||||||
\(155\) | − | 67.6722i | − | 0.436595i | ||||||
\(156\) | 167.302 | 1.07245 | ||||||||
\(157\) | − | 299.212i | − | 1.90581i | −0.303271 | − | 0.952904i | \(-0.598079\pi\) | ||
0.303271 | − | 0.952904i | \(-0.401921\pi\) | |||||||
\(158\) | −153.957 | −0.974409 | ||||||||
\(159\) | −168.433 | + | 168.433i | −1.05933 | + | 1.05933i | ||||
\(160\) | 83.9643i | 0.524777i | ||||||||
\(161\) | − | 172.924i | − | 1.07406i | ||||||
\(162\) | 223.219 | − | 223.219i | 1.37790 | − | 1.37790i | ||||
\(163\) | 82.0498i | 0.503373i | 0.967809 | + | 0.251687i | \(0.0809852\pi\) | ||||
−0.967809 | + | 0.251687i | \(0.919015\pi\) | |||||||
\(164\) | 16.0196 | 0.0976805 | ||||||||
\(165\) | −53.3308 | − | 53.3308i | −0.323217 | − | 0.323217i | ||||
\(166\) | −49.9453 | − | 49.9453i | −0.300875 | − | 0.300875i | ||||
\(167\) | −106.878 | + | 106.878i | −0.639985 | + | 0.639985i | −0.950552 | − | 0.310567i | \(-0.899481\pi\) |
0.310567 | + | 0.950552i | \(0.399481\pi\) | |||||||
\(168\) | 533.478i | 3.17546i | ||||||||
\(169\) | 62.5974i | 0.370399i | ||||||||
\(170\) | 57.5820 | − | 57.5820i | 0.338718 | − | 0.338718i | ||||
\(171\) | −443.670 | −2.59456 | ||||||||
\(172\) | −83.0556 | −0.482882 | ||||||||
\(173\) | 58.2207i | 0.336536i | 0.985741 | + | 0.168268i | \(0.0538174\pi\) | ||||
−0.985741 | + | 0.168268i | \(0.946183\pi\) | |||||||
\(174\) | 101.832i | 0.585243i | ||||||||
\(175\) | 231.439 | 1.32251 | ||||||||
\(176\) | 11.5097 | − | 11.5097i | 0.0653962 | − | 0.0653962i | ||||
\(177\) | 360.525 | − | 360.525i | 2.03686 | − | 2.03686i | ||||
\(178\) | 140.402 | 0.788776 | ||||||||
\(179\) | −58.9171 | + | 58.9171i | −0.329146 | + | 0.329146i | −0.852262 | − | 0.523116i | \(-0.824770\pi\) |
0.523116 | + | 0.852262i | \(0.324770\pi\) | |||||||
\(180\) | −122.270 | + | 122.270i | −0.679280 | + | 0.679280i | ||||
\(181\) | − | 252.074i | − | 1.39268i | −0.717714 | − | 0.696338i | \(-0.754812\pi\) | ||
0.717714 | − | 0.696338i | \(-0.245188\pi\) | |||||||
\(182\) | 140.055 | 0.769532 | ||||||||
\(183\) | −128.143 | + | 128.143i | −0.700235 | + | 0.700235i | ||||
\(184\) | −72.8865 | − | 72.8865i | −0.396122 | − | 0.396122i | ||||
\(185\) | −5.41451 | + | 5.41451i | −0.0292676 | + | 0.0292676i | ||||
\(186\) | −118.738 | − | 118.738i | −0.638374 | − | 0.638374i | ||||
\(187\) | −152.161 | −0.813696 | ||||||||
\(188\) | −64.6185 | −0.343715 | ||||||||
\(189\) | −775.799 | + | 775.799i | −4.10475 | + | 4.10475i | ||||
\(190\) | −50.4875 | −0.265724 | ||||||||
\(191\) | −158.693 | −0.830854 | −0.415427 | − | 0.909627i | \(-0.636368\pi\) | ||||
−0.415427 | + | 0.909627i | \(0.636368\pi\) | |||||||
\(192\) | 95.8654 | + | 95.8654i | 0.499299 | + | 0.499299i | ||||
\(193\) | 121.453 | 0.629292 | 0.314646 | − | 0.949209i | \(-0.398114\pi\) | ||||
0.314646 | + | 0.949209i | \(0.398114\pi\) | |||||||
\(194\) | 33.3579 | + | 33.3579i | 0.171948 | + | 0.171948i | ||||
\(195\) | 106.600 | + | 106.600i | 0.546664 | + | 0.546664i | ||||
\(196\) | − | 298.511i | − | 1.52301i | ||||||
\(197\) | 59.2912 | − | 187.866i | 0.300971 | − | 0.953633i | ||||
\(198\) | −136.522 | −0.689507 | ||||||||
\(199\) | 217.422 | − | 217.422i | 1.09257 | − | 1.09257i | 0.0973196 | − | 0.995253i | \(-0.468973\pi\) |
0.995253 | − | 0.0973196i | \(-0.0310269\pi\) | |||||||
\(200\) | 97.5505 | − | 97.5505i | 0.487752 | − | 0.487752i | ||||
\(201\) | − | 138.119i | − | 0.687158i | ||||||
\(202\) | −18.5667 | + | 18.5667i | −0.0919142 | + | 0.0919142i | ||||
\(203\) | − | 201.752i | − | 0.993852i | ||||||
\(204\) | 478.221i | 2.34422i | ||||||||
\(205\) | 10.2072 | + | 10.2072i | 0.0497913 | + | 0.0497913i | ||||
\(206\) | 87.2393i | 0.423492i | ||||||||
\(207\) | − | 336.929i | − | 1.62768i | ||||||
\(208\) | −23.0060 | + | 23.0060i | −0.110606 | + | 0.110606i | ||||
\(209\) | 66.7069 | + | 66.7069i | 0.319172 | + | 0.319172i | ||||
\(210\) | −140.314 | + | 140.314i | −0.668162 | + | 0.668162i | ||||
\(211\) | 49.2757 | + | 49.2757i | 0.233534 | + | 0.233534i | 0.814166 | − | 0.580632i | \(-0.197194\pi\) |
−0.580632 | + | 0.814166i | \(0.697194\pi\) | |||||||
\(212\) | − | 116.121i | − | 0.547739i | ||||||
\(213\) | 342.124 | 1.60622 | ||||||||
\(214\) | −28.8755 | − | 28.8755i | −0.134932 | − | 0.134932i | ||||
\(215\) | −52.9206 | − | 52.9206i | −0.246142 | − | 0.246142i | ||||
\(216\) | 653.990i | 3.02773i | ||||||||
\(217\) | 235.245 | + | 235.245i | 1.08408 | + | 1.08408i | ||||
\(218\) | −7.77383 | − | 7.77383i | −0.0356598 | − | 0.0356598i | ||||
\(219\) | 244.986i | 1.11866i | ||||||||
\(220\) | 36.7673 | 0.167124 | ||||||||
\(221\) | 304.145 | 1.37622 | ||||||||
\(222\) | 19.0006i | 0.0855881i | ||||||||
\(223\) | − | 310.528i | − | 1.39250i | −0.717797 | − | 0.696252i | \(-0.754850\pi\) | ||
0.717797 | − | 0.696252i | \(-0.245150\pi\) | |||||||
\(224\) | −291.880 | − | 291.880i | −1.30303 | − | 1.30303i | ||||
\(225\) | 450.942 | 2.00418 | ||||||||
\(226\) | −223.113 | −0.987226 | ||||||||
\(227\) | 281.201 | + | 281.201i | 1.23877 | + | 1.23877i | 0.960504 | + | 0.278265i | \(0.0897592\pi\) |
0.278265 | + | 0.960504i | \(0.410241\pi\) | |||||||
\(228\) | 209.650 | − | 209.650i | 0.919519 | − | 0.919519i | ||||
\(229\) | −136.786 | + | 136.786i | −0.597320 | + | 0.597320i | −0.939599 | − | 0.342278i | \(-0.888801\pi\) |
0.342278 | + | 0.939599i | \(0.388801\pi\) | |||||||
\(230\) | − | 38.3409i | − | 0.166699i | ||||||
\(231\) | 370.781 | 1.60511 | ||||||||
\(232\) | −85.0373 | − | 85.0373i | −0.366540 | − | 0.366540i | ||||
\(233\) | −222.823 | −0.956323 | −0.478162 | − | 0.878272i | \(-0.658697\pi\) | ||||
−0.478162 | + | 0.878272i | \(0.658697\pi\) | |||||||
\(234\) | 272.886 | 1.16618 | ||||||||
\(235\) | −41.1730 | − | 41.1730i | −0.175204 | − | 0.175204i | ||||
\(236\) | 248.552i | 1.05319i | ||||||||
\(237\) | 814.695 | 3.43753 | ||||||||
\(238\) | 400.338i | 1.68209i | ||||||||
\(239\) | 116.614 | 0.487925 | 0.243963 | − | 0.969785i | \(-0.421553\pi\) | ||||
0.243963 | + | 0.969785i | \(0.421553\pi\) | |||||||
\(240\) | − | 46.0973i | − | 0.192072i | ||||||
\(241\) | −255.305 | − | 255.305i | −1.05936 | − | 1.05936i | −0.998123 | − | 0.0612340i | \(-0.980496\pi\) |
−0.0612340 | − | 0.998123i | \(-0.519504\pi\) | |||||||
\(242\) | −72.7348 | − | 72.7348i | −0.300557 | − | 0.300557i | ||||
\(243\) | −620.682 | + | 620.682i | −2.55425 | + | 2.55425i | ||||
\(244\) | − | 88.3442i | − | 0.362067i | ||||||
\(245\) | 190.202 | − | 190.202i | 0.776335 | − | 0.776335i | ||||
\(246\) | 35.8191 | 0.145606 | ||||||||
\(247\) | −133.336 | − | 133.336i | −0.539822 | − | 0.539822i | ||||
\(248\) | 198.309 | 0.799632 | ||||||||
\(249\) | 264.296 | + | 264.296i | 1.06143 | + | 1.06143i | ||||
\(250\) | 120.361 | 0.481443 | ||||||||
\(251\) | −1.35870 | −0.00541316 | −0.00270658 | − | 0.999996i | \(-0.500862\pi\) | ||||
−0.00270658 | + | 0.999996i | \(0.500862\pi\) | |||||||
\(252\) | − | 850.081i | − | 3.37334i | ||||||
\(253\) | −50.6581 | + | 50.6581i | −0.200230 | + | 0.200230i | ||||
\(254\) | 146.900 | + | 146.900i | 0.578348 | + | 0.578348i | ||||
\(255\) | −304.708 | + | 304.708i | −1.19493 | + | 1.19493i | ||||
\(256\) | −210.575 | −0.822559 | ||||||||
\(257\) | −340.463 | −1.32476 | −0.662379 | − | 0.749169i | \(-0.730453\pi\) | ||||
−0.662379 | + | 0.749169i | \(0.730453\pi\) | |||||||
\(258\) | −185.709 | −0.719801 | ||||||||
\(259\) | − | 37.6442i | − | 0.145345i | ||||||
\(260\) | −73.4917 | −0.282660 | ||||||||
\(261\) | − | 393.098i | − | 1.50612i | ||||||
\(262\) | 87.3856i | 0.333533i | ||||||||
\(263\) | −9.05544 | − | 9.05544i | −0.0344313 | − | 0.0344313i | 0.689682 | − | 0.724113i | \(-0.257751\pi\) |
−0.724113 | + | 0.689682i | \(0.757751\pi\) | |||||||
\(264\) | 156.282 | − | 156.282i | 0.591979 | − | 0.591979i | ||||
\(265\) | 73.9887 | − | 73.9887i | 0.279202 | − | 0.279202i | ||||
\(266\) | 175.507 | − | 175.507i | 0.659800 | − | 0.659800i | ||||
\(267\) | −742.968 | −2.78265 | ||||||||
\(268\) | 47.6108 | + | 47.6108i | 0.177652 | + | 0.177652i | ||||
\(269\) | −233.819 | + | 233.819i | −0.869216 | + | 0.869216i | −0.992386 | − | 0.123170i | \(-0.960694\pi\) |
0.123170 | + | 0.992386i | \(0.460694\pi\) | |||||||
\(270\) | −172.011 | + | 172.011i | −0.637077 | + | 0.637077i | ||||
\(271\) | −115.273 | + | 115.273i | −0.425360 | + | 0.425360i | −0.887044 | − | 0.461684i | \(-0.847245\pi\) |
0.461684 | + | 0.887044i | \(0.347245\pi\) | |||||||
\(272\) | −65.7613 | − | 65.7613i | −0.241770 | − | 0.241770i | ||||
\(273\) | −741.131 | −2.71476 | ||||||||
\(274\) | −136.015 | − | 136.015i | −0.496405 | − | 0.496405i | ||||
\(275\) | −67.8002 | − | 67.8002i | −0.246546 | − | 0.246546i | ||||
\(276\) | 159.211 | + | 159.211i | 0.576852 | + | 0.576852i | ||||
\(277\) | −247.116 | + | 247.116i | −0.892115 | + | 0.892115i | −0.994722 | − | 0.102607i | \(-0.967282\pi\) |
0.102607 | + | 0.994722i | \(0.467282\pi\) | |||||||
\(278\) | −172.493 | −0.620479 | ||||||||
\(279\) | 458.356 | + | 458.356i | 1.64285 | + | 1.64285i | ||||
\(280\) | − | 234.345i | − | 0.836945i | ||||||
\(281\) | 176.735 | − | 176.735i | 0.628949 | − | 0.628949i | −0.318855 | − | 0.947804i | \(-0.603298\pi\) |
0.947804 | + | 0.318855i | \(0.103298\pi\) | |||||||
\(282\) | −144.484 | −0.512355 | ||||||||
\(283\) | 385.727 | + | 385.727i | 1.36299 | + | 1.36299i | 0.870075 | + | 0.492919i | \(0.164070\pi\) |
0.492919 | + | 0.870075i | \(0.335930\pi\) | |||||||
\(284\) | −117.933 | + | 117.933i | −0.415258 | + | 0.415258i | ||||
\(285\) | 267.166 | 0.937424 | ||||||||
\(286\) | −41.0290 | − | 41.0290i | −0.143458 | − | 0.143458i | ||||
\(287\) | −70.9654 | −0.247266 | ||||||||
\(288\) | −568.705 | − | 568.705i | −1.97467 | − | 1.97467i | ||||
\(289\) | 580.379i | 2.00823i | ||||||||
\(290\) | − | 44.7326i | − | 0.154250i | ||||||
\(291\) | −176.521 | − | 176.521i | −0.606601 | − | 0.606601i | ||||
\(292\) | −84.4489 | − | 84.4489i | −0.289208 | − | 0.289208i | ||||
\(293\) | − | 46.1505i | − | 0.157510i | −0.996894 | − | 0.0787551i | \(-0.974905\pi\) | ||
0.996894 | − | 0.0787551i | \(-0.0250945\pi\) | |||||||
\(294\) | − | 667.456i | − | 2.27026i | ||||||
\(295\) | −158.370 | + | 158.370i | −0.536848 | + | 0.536848i | ||||
\(296\) | −15.8668 | − | 15.8668i | −0.0536042 | − | 0.0536042i | ||||
\(297\) | 454.540 | 1.53044 | ||||||||
\(298\) | 98.9169 | 0.331936 | ||||||||
\(299\) | 101.257 | − | 101.257i | 0.338652 | − | 0.338652i | ||||
\(300\) | −213.086 | + | 213.086i | −0.710287 | + | 0.710287i | ||||
\(301\) | 367.929 | 1.22236 | ||||||||
\(302\) | 292.223 | 0.967626 | ||||||||
\(303\) | 98.2495 | − | 98.2495i | 0.324256 | − | 0.324256i | ||||
\(304\) | 57.6591i | 0.189668i | ||||||||
\(305\) | 56.2903 | − | 56.2903i | 0.184558 | − | 0.184558i | ||||
\(306\) | 780.027i | 2.54911i | ||||||||
\(307\) | −87.1204 | − | 87.1204i | −0.283780 | − | 0.283780i | 0.550835 | − | 0.834614i | \(-0.314310\pi\) |
−0.834614 | + | 0.550835i | \(0.814310\pi\) | |||||||
\(308\) | −127.812 | + | 127.812i | −0.414974 | + | 0.414974i | ||||
\(309\) | − | 461.646i | − | 1.49400i | ||||||
\(310\) | 52.1587 | + | 52.1587i | 0.168254 | + | 0.168254i | ||||
\(311\) | −292.031 | −0.939005 | −0.469503 | − | 0.882931i | \(-0.655567\pi\) | ||||
−0.469503 | + | 0.882931i | \(0.655567\pi\) | |||||||
\(312\) | −312.382 | + | 312.382i | −1.00123 | + | 1.00123i | ||||
\(313\) | 19.1153i | 0.0610713i | 0.999534 | + | 0.0305356i | \(0.00972131\pi\) | ||||
−0.999534 | + | 0.0305356i | \(0.990279\pi\) | |||||||
\(314\) | 230.619 | + | 230.619i | 0.734455 | + | 0.734455i | ||||
\(315\) | 541.646 | − | 541.646i | 1.71951 | − | 1.71951i | ||||
\(316\) | −280.833 | + | 280.833i | −0.888712 | + | 0.888712i | ||||
\(317\) | −132.398 | + | 132.398i | −0.417660 | + | 0.417660i | −0.884396 | − | 0.466737i | \(-0.845430\pi\) |
0.466737 | + | 0.884396i | \(0.345430\pi\) | |||||||
\(318\) | − | 259.641i | − | 0.816480i | ||||||
\(319\) | −59.1032 | + | 59.1032i | −0.185276 | + | 0.185276i | ||||
\(320\) | −42.1115 | − | 42.1115i | −0.131598 | − | 0.131598i | ||||
\(321\) | 152.801 | + | 152.801i | 0.476016 | + | 0.476016i | ||||
\(322\) | 133.282 | + | 133.282i | 0.413919 | + | 0.413919i | ||||
\(323\) | 381.133 | − | 381.133i | 1.17998 | − | 1.17998i | ||||
\(324\) | − | 814.352i | − | 2.51343i | ||||||
\(325\) | 135.521 | + | 135.521i | 0.416989 | + | 0.416989i | ||||
\(326\) | −63.2403 | − | 63.2403i | −0.193989 | − | 0.193989i | ||||
\(327\) | 41.1369 | + | 41.1369i | 0.125801 | + | 0.125801i | ||||
\(328\) | −29.9115 | + | 29.9115i | −0.0911936 | + | 0.0911936i | ||||
\(329\) | 286.254 | 0.870073 | ||||||||
\(330\) | 82.2100 | 0.249121 | ||||||||
\(331\) | 18.3874i | 0.0555512i | 0.999614 | + | 0.0277756i | \(0.00884239\pi\) | ||||
−0.999614 | + | 0.0277756i | \(0.991158\pi\) | |||||||
\(332\) | −182.211 | −0.548828 | ||||||||
\(333\) | − | 73.3468i | − | 0.220261i | ||||||
\(334\) | − | 164.753i | − | 0.493271i | ||||||
\(335\) | 60.6724i | 0.181112i | ||||||||
\(336\) | 160.245 | + | 160.245i | 0.476920 | + | 0.476920i | ||||
\(337\) | −217.224 | + | 217.224i | −0.644581 | + | 0.644581i | −0.951678 | − | 0.307097i | \(-0.900642\pi\) |
0.307097 | + | 0.951678i | \(0.400642\pi\) | |||||||
\(338\) | −48.2473 | − | 48.2473i | −0.142743 | − | 0.142743i | ||||
\(339\) | 1180.65 | 3.48275 | ||||||||
\(340\) | − | 210.071i | − | 0.617857i | ||||||
\(341\) | − | 137.830i | − | 0.404193i | ||||||
\(342\) | 341.961 | − | 341.961i | 0.999886 | − | 0.999886i | ||||
\(343\) | 712.014i | 2.07584i | ||||||||
\(344\) | 155.080 | − | 155.080i | 0.450814 | − | 0.450814i | ||||
\(345\) | 202.889i | 0.588084i | ||||||||
\(346\) | −44.8739 | − | 44.8739i | −0.129693 | − | 0.129693i | ||||
\(347\) | −63.8678 | −0.184057 | −0.0920286 | − | 0.995756i | \(-0.529335\pi\) | ||||
−0.0920286 | + | 0.995756i | \(0.529335\pi\) | |||||||
\(348\) | 185.753 | + | 185.753i | 0.533773 | + | 0.533773i | ||||
\(349\) | 30.8444 | − | 30.8444i | 0.0883793 | − | 0.0883793i | −0.661535 | − | 0.749914i | \(-0.730095\pi\) |
0.749914 | + | 0.661535i | \(0.230095\pi\) | |||||||
\(350\) | −178.383 | + | 178.383i | −0.509666 | + | 0.509666i | ||||
\(351\) | −908.551 | −2.58846 | ||||||||
\(352\) | 171.012i | 0.485830i | ||||||||
\(353\) | 31.9956 | 0.0906392 | 0.0453196 | − | 0.998973i | \(-0.485569\pi\) | ||||
0.0453196 | + | 0.998973i | \(0.485569\pi\) | |||||||
\(354\) | 555.752i | 1.56992i | ||||||||
\(355\) | −150.287 | −0.423344 | ||||||||
\(356\) | 256.108 | − | 256.108i | 0.719405 | − | 0.719405i | ||||
\(357\) | − | 2118.47i | − | 5.93410i | ||||||
\(358\) | − | 90.8213i | − | 0.253691i | ||||||
\(359\) | −304.136 | + | 304.136i | −0.847176 | + | 0.847176i | −0.989780 | − | 0.142604i | \(-0.954452\pi\) |
0.142604 | + | 0.989780i | \(0.454452\pi\) | |||||||
\(360\) | − | 456.602i | − | 1.26834i | ||||||
\(361\) | 26.8253 | 0.0743084 | ||||||||
\(362\) | 194.287 | + | 194.287i | 0.536706 | + | 0.536706i | ||||
\(363\) | 384.892 | + | 384.892i | 1.06031 | + | 1.06031i | ||||
\(364\) | 255.475 | − | 255.475i | 0.701854 | − | 0.701854i | ||||
\(365\) | − | 107.617i | − | 0.294840i | ||||||
\(366\) | − | 197.534i | − | 0.539710i | ||||||
\(367\) | −40.8840 | + | 40.8840i | −0.111400 | + | 0.111400i | −0.760610 | − | 0.649209i | \(-0.775100\pi\) |
0.649209 | + | 0.760610i | \(0.275100\pi\) | |||||||
\(368\) | −43.7870 | −0.118986 | ||||||||
\(369\) | −138.270 | −0.374717 | ||||||||
\(370\) | − | 8.34651i | − | 0.0225581i | ||||||
\(371\) | 514.404i | 1.38653i | ||||||||
\(372\) | −433.180 | −1.16446 | ||||||||
\(373\) | −178.472 | + | 178.472i | −0.478477 | + | 0.478477i | −0.904644 | − | 0.426167i | \(-0.859864\pi\) |
0.426167 | + | 0.904644i | \(0.359864\pi\) | |||||||
\(374\) | 117.279 | − | 117.279i | 0.313580 | − | 0.313580i | ||||
\(375\) | −636.915 | −1.69844 | ||||||||
\(376\) | 120.655 | − | 120.655i | 0.320890 | − | 0.320890i | ||||
\(377\) | 118.137 | − | 118.137i | 0.313362 | − | 0.313362i | ||||
\(378\) | − | 1195.90i | − | 3.16376i | ||||||
\(379\) | 261.615 | 0.690277 | 0.345138 | − | 0.938552i | \(-0.387832\pi\) | ||||
0.345138 | + | 0.938552i | \(0.387832\pi\) | |||||||
\(380\) | −92.0946 | + | 92.0946i | −0.242354 | + | 0.242354i | ||||
\(381\) | −777.355 | − | 777.355i | −2.04030 | − | 2.04030i | ||||
\(382\) | 122.313 | − | 122.313i | 0.320192 | − | 0.320192i | ||||
\(383\) | −180.772 | − | 180.772i | −0.471989 | − | 0.471989i | 0.430569 | − | 0.902558i | \(-0.358313\pi\) |
−0.902558 | + | 0.430569i | \(0.858313\pi\) | |||||||
\(384\) | 616.790 | 1.60622 | ||||||||
\(385\) | −162.876 | −0.423054 | ||||||||
\(386\) | −93.6107 | + | 93.6107i | −0.242515 | + | 0.242515i | ||||
\(387\) | 716.881 | 1.85240 | ||||||||
\(388\) | 121.697 | 0.313651 | ||||||||
\(389\) | 45.0851 | + | 45.0851i | 0.115900 | + | 0.115900i | 0.762678 | − | 0.646778i | \(-0.223884\pi\) |
−0.646778 | + | 0.762678i | \(0.723884\pi\) | |||||||
\(390\) | −164.324 | −0.421344 | ||||||||
\(391\) | 289.437 | + | 289.437i | 0.740248 | + | 0.740248i | ||||
\(392\) | 557.374 | + | 557.374i | 1.42187 | + | 1.42187i | ||||
\(393\) | − | 462.420i | − | 1.17664i | ||||||
\(394\) | 99.0995 | + | 190.497i | 0.251521 | + | 0.483496i | ||||
\(395\) | −357.877 | −0.906017 | ||||||||
\(396\) | −249.031 | + | 249.031i | −0.628867 | + | 0.628867i | ||||
\(397\) | 321.228 | − | 321.228i | 0.809138 | − | 0.809138i | −0.175365 | − | 0.984503i | \(-0.556111\pi\) |
0.984503 | + | 0.175365i | \(0.0561107\pi\) | |||||||
\(398\) | 335.158i | 0.842105i | ||||||||
\(399\) | −928.732 | + | 928.732i | −2.32765 | + | 2.32765i | ||||
\(400\) | − | 58.6040i | − | 0.146510i | ||||||
\(401\) | 79.9636i | 0.199410i | 0.995017 | + | 0.0997052i | \(0.0317900\pi\) | ||||
−0.995017 | + | 0.0997052i | \(0.968210\pi\) | |||||||
\(402\) | 106.456 | + | 106.456i | 0.264815 | + | 0.264815i | ||||
\(403\) | 275.499i | 0.683621i | ||||||||
\(404\) | 67.7351i | 0.167661i | ||||||||
\(405\) | 518.880 | − | 518.880i | 1.28119 | − | 1.28119i | ||||
\(406\) | 155.501 | + | 155.501i | 0.383008 | + | 0.383008i | ||||
\(407\) | −11.0279 | + | 11.0279i | −0.0270955 | + | 0.0270955i | ||||
\(408\) | −892.925 | − | 892.925i | −2.18854 | − | 2.18854i | ||||
\(409\) | − | 153.074i | − | 0.374264i | −0.982335 | − | 0.187132i | \(-0.940081\pi\) | ||
0.982335 | − | 0.187132i | \(-0.0599192\pi\) | |||||||
\(410\) | −15.7345 | −0.0383768 | ||||||||
\(411\) | 719.752 | + | 719.752i | 1.75122 | + | 1.75122i | ||||
\(412\) | 159.134 | + | 159.134i | 0.386247 | + | 0.386247i | ||||
\(413\) | − | 1101.06i | − | 2.66602i | ||||||
\(414\) | 259.689 | + | 259.689i | 0.627269 | + | 0.627269i | ||||
\(415\) | −116.099 | − | 116.099i | −0.279757 | − | 0.279757i | ||||
\(416\) | − | 341.825i | − | 0.821695i | ||||||
\(417\) | 912.785 | 2.18893 | ||||||||
\(418\) | −102.829 | −0.246003 | ||||||||
\(419\) | − | 622.087i | − | 1.48470i | −0.670015 | − | 0.742348i | \(-0.733712\pi\) | ||
0.670015 | − | 0.742348i | \(-0.266288\pi\) | |||||||
\(420\) | 511.895i | 1.21880i | ||||||||
\(421\) | 129.554 | + | 129.554i | 0.307728 | + | 0.307728i | 0.844028 | − | 0.536299i | \(-0.180178\pi\) |
−0.536299 | + | 0.844028i | \(0.680178\pi\) | |||||||
\(422\) | −75.9590 | −0.179998 | ||||||||
\(423\) | 557.743 | 1.31854 | ||||||||
\(424\) | 216.819 | + | 216.819i | 0.511365 | + | 0.511365i | ||||
\(425\) | −387.379 | + | 387.379i | −0.911480 | + | 0.911480i | ||||
\(426\) | −263.694 | + | 263.694i | −0.618999 | + | 0.618999i | ||||
\(427\) | 391.357i | 0.916527i | ||||||||
\(428\) | −105.344 | −0.246131 | ||||||||
\(429\) | 217.114 | + | 217.114i | 0.506094 | + | 0.506094i | ||||
\(430\) | 81.5775 | 0.189715 | ||||||||
\(431\) | −226.262 | −0.524970 | −0.262485 | − | 0.964936i | \(-0.584542\pi\) | ||||
−0.262485 | + | 0.964936i | \(0.584542\pi\) | |||||||
\(432\) | 196.444 | + | 196.444i | 0.454732 | + | 0.454732i | ||||
\(433\) | − | 418.510i | − | 0.966535i | −0.875473 | − | 0.483268i | \(-0.839450\pi\) | ||
0.875473 | − | 0.483268i | \(-0.160550\pi\) | |||||||
\(434\) | −362.632 | −0.835557 | ||||||||
\(435\) | 236.712i | 0.544166i | ||||||||
\(436\) | −28.3606 | −0.0650472 | ||||||||
\(437\) | − | 253.776i | − | 0.580724i | ||||||
\(438\) | −188.824 | − | 188.824i | −0.431105 | − | 0.431105i | ||||
\(439\) | 114.416 | + | 114.416i | 0.260630 | + | 0.260630i | 0.825310 | − | 0.564680i | \(-0.191000\pi\) |
−0.564680 | + | 0.825310i | \(0.691000\pi\) | |||||||
\(440\) | −68.6512 | + | 68.6512i | −0.156026 | + | 0.156026i | ||||
\(441\) | 2576.54i | 5.84250i | ||||||||
\(442\) | −234.421 | + | 234.421i | −0.530365 | + | 0.530365i | ||||
\(443\) | −280.909 | −0.634107 | −0.317053 | − | 0.948408i | \(-0.602693\pi\) | ||||
−0.317053 | + | 0.948408i | \(0.602693\pi\) | |||||||
\(444\) | 34.6590 | + | 34.6590i | 0.0780609 | + | 0.0780609i | ||||
\(445\) | 326.369 | 0.733413 | ||||||||
\(446\) | 239.341 | + | 239.341i | 0.536640 | + | 0.536640i | ||||
\(447\) | −523.440 | −1.17101 | ||||||||
\(448\) | 292.779 | 0.653525 | ||||||||
\(449\) | − | 307.464i | − | 0.684776i | −0.939559 | − | 0.342388i | \(-0.888764\pi\) | ||
0.939559 | − | 0.342388i | \(-0.111236\pi\) | |||||||
\(450\) | −347.565 | + | 347.565i | −0.772367 | + | 0.772367i | ||||
\(451\) | 20.7893 | + | 20.7893i | 0.0460960 | + | 0.0460960i | ||||
\(452\) | −406.982 | + | 406.982i | −0.900402 | + | 0.900402i | ||||
\(453\) | −1546.36 | −3.41360 | ||||||||
\(454\) | −433.473 | −0.954787 | ||||||||
\(455\) | 325.562 | 0.715520 | ||||||||
\(456\) | 782.911i | 1.71691i | ||||||||
\(457\) | −124.373 | −0.272151 | −0.136076 | − | 0.990698i | \(-0.543449\pi\) | ||||
−0.136076 | + | 0.990698i | \(0.543449\pi\) | |||||||
\(458\) | − | 210.857i | − | 0.460387i | ||||||
\(459\) | − | 2597.03i | − | 5.65803i | ||||||
\(460\) | −69.9377 | − | 69.9377i | −0.152039 | − | 0.152039i | ||||
\(461\) | −138.002 | + | 138.002i | −0.299354 | + | 0.299354i | −0.840761 | − | 0.541407i | \(-0.817892\pi\) |
0.541407 | + | 0.840761i | \(0.317892\pi\) | |||||||
\(462\) | −285.781 | + | 285.781i | −0.618575 | + | 0.618575i | ||||
\(463\) | 520.943 | − | 520.943i | 1.12515 | − | 1.12515i | 0.134192 | − | 0.990955i | \(-0.457156\pi\) |
0.990955 | − | 0.134192i | \(-0.0428440\pi\) | |||||||
\(464\) | −51.0867 | −0.110101 | ||||||||
\(465\) | −276.009 | − | 276.009i | −0.593568 | − | 0.593568i | ||||
\(466\) | 171.742 | − | 171.742i | 0.368545 | − | 0.368545i | ||||
\(467\) | −458.622 | + | 458.622i | −0.982061 | + | 0.982061i | −0.999842 | − | 0.0177809i | \(-0.994340\pi\) |
0.0177809 | + | 0.999842i | \(0.494340\pi\) | |||||||
\(468\) | 497.772 | − | 497.772i | 1.06362 | − | 1.06362i | ||||
\(469\) | −210.912 | − | 210.912i | −0.449705 | − | 0.449705i | ||||
\(470\) | 63.4685 | 0.135039 | ||||||||
\(471\) | −1220.37 | − | 1220.37i | −2.59102 | − | 2.59102i | ||||
\(472\) | −464.093 | − | 464.093i | −0.983247 | − | 0.983247i | ||||
\(473\) | −107.785 | − | 107.785i | −0.227875 | − | 0.227875i | ||||
\(474\) | −627.930 | + | 627.930i | −1.32475 | + | 1.32475i | ||||
\(475\) | 339.651 | 0.715055 | ||||||||
\(476\) | 730.258 | + | 730.258i | 1.53416 | + | 1.53416i | ||||
\(477\) | 1002.28i | 2.10121i | ||||||||
\(478\) | −89.8809 | + | 89.8809i | −0.188035 | + | 0.188035i | ||||
\(479\) | −37.1360 | −0.0775282 | −0.0387641 | − | 0.999248i | \(-0.512342\pi\) | ||||
−0.0387641 | + | 0.999248i | \(0.512342\pi\) | |||||||
\(480\) | 342.458 | + | 342.458i | 0.713454 | + | 0.713454i | ||||
\(481\) | 22.0429 | − | 22.0429i | 0.0458272 | − | 0.0458272i | ||||
\(482\) | 393.555 | 0.816505 | ||||||||
\(483\) | −705.290 | − | 705.290i | −1.46023 | − | 1.46023i | ||||
\(484\) | −265.352 | −0.548248 | ||||||||
\(485\) | 77.5415 | + | 77.5415i | 0.159879 | + | 0.159879i | ||||
\(486\) | − | 956.787i | − | 1.96870i | ||||||
\(487\) | − | 578.917i | − | 1.18874i | −0.804191 | − | 0.594371i | \(-0.797401\pi\) | ||
0.804191 | − | 0.594371i | \(-0.202599\pi\) | |||||||
\(488\) | 164.955 | + | 164.955i | 0.338022 | + | 0.338022i | ||||
\(489\) | 334.650 | + | 334.650i | 0.684355 | + | 0.684355i | ||||
\(490\) | 293.198i | 0.598363i | ||||||||
\(491\) | 566.666i | 1.15411i | 0.816707 | + | 0.577053i | \(0.195797\pi\) | ||||
−0.816707 | + | 0.577053i | \(0.804203\pi\) | |||||||
\(492\) | 65.3378 | − | 65.3378i | 0.132800 | − | 0.132800i | ||||
\(493\) | 337.689 | + | 337.689i | 0.684967 | + | 0.684967i | ||||
\(494\) | 205.539 | 0.416071 | ||||||||
\(495\) | −317.351 | −0.641112 | ||||||||
\(496\) | 59.5676 | − | 59.5676i | 0.120096 | − | 0.120096i | ||||
\(497\) | 522.434 | − | 522.434i | 1.05118 | − | 1.05118i | ||||
\(498\) | −407.415 | −0.818103 | ||||||||
\(499\) | −522.976 | −1.04805 | −0.524024 | − | 0.851704i | \(-0.675570\pi\) | ||||
−0.524024 | + | 0.851704i | \(0.675570\pi\) | |||||||
\(500\) | 219.551 | − | 219.551i | 0.439101 | − | 0.439101i | ||||
\(501\) | 871.825i | 1.74017i | ||||||||
\(502\) | 1.04723 | − | 1.04723i | 0.00208611 | − | 0.00208611i | ||||
\(503\) | 680.317i | 1.35252i | 0.736664 | + | 0.676259i | \(0.236400\pi\) | ||||
−0.736664 | + | 0.676259i | \(0.763600\pi\) | |||||||
\(504\) | 1587.26 | + | 1587.26i | 3.14932 | + | 3.14932i | ||||
\(505\) | −43.1588 | + | 43.1588i | −0.0854629 | + | 0.0854629i | ||||
\(506\) | − | 78.0899i | − | 0.154328i | ||||||
\(507\) | 255.311 | + | 255.311i | 0.503572 | + | 0.503572i | ||||
\(508\) | 535.923 | 1.05497 | ||||||||
\(509\) | 252.887 | − | 252.887i | 0.496831 | − | 0.496831i | −0.413619 | − | 0.910450i | \(-0.635735\pi\) |
0.910450 | + | 0.413619i | \(0.135735\pi\) | |||||||
\(510\) | − | 469.710i | − | 0.921000i | ||||||
\(511\) | 374.101 | + | 374.101i | 0.732096 | + | 0.732096i | ||||
\(512\) | −140.149 | + | 140.149i | −0.273728 | + | 0.273728i | ||||
\(513\) | −1138.53 | + | 1138.53i | −2.21936 | + | 2.21936i | ||||
\(514\) | 262.413 | − | 262.413i | 0.510531 | − | 0.510531i | ||||
\(515\) | 202.791i | 0.393768i | ||||||||
\(516\) | −338.752 | + | 338.752i | −0.656496 | + | 0.656496i | ||||
\(517\) | −83.8581 | − | 83.8581i | −0.162201 | − | 0.162201i | ||||
\(518\) | 29.0145 | + | 29.0145i | 0.0560125 | + | 0.0560125i | ||||
\(519\) | 237.460 | + | 237.460i | 0.457533 | + | 0.457533i | ||||
\(520\) | 137.222 | − | 137.222i | 0.263889 | − | 0.263889i | ||||
\(521\) | 755.345i | 1.44980i | 0.688855 | + | 0.724899i | \(0.258114\pi\) | ||||
−0.688855 | + | 0.724899i | \(0.741886\pi\) | |||||||
\(522\) | 302.982 | + | 302.982i | 0.580425 | + | 0.580425i | ||||
\(523\) | 669.892 | + | 669.892i | 1.28086 | + | 1.28086i | 0.940177 | + | 0.340688i | \(0.110660\pi\) |
0.340688 | + | 0.940177i | \(0.389340\pi\) | |||||||
\(524\) | 159.401 | + | 159.401i | 0.304200 | + | 0.304200i | ||||
\(525\) | 943.953 | − | 943.953i | 1.79801 | − | 1.79801i | ||||
\(526\) | 13.9590 | 0.0265381 | ||||||||
\(527\) | −787.497 | −1.49430 | ||||||||
\(528\) | − | 93.8875i | − | 0.177817i | ||||||
\(529\) | −336.279 | −0.635688 | ||||||||
\(530\) | 114.054i | 0.215197i | ||||||||
\(531\) | − | 2145.34i | − | 4.04018i | ||||||
\(532\) | − | 640.285i | − | 1.20354i | ||||||
\(533\) | −41.5544 | − | 41.5544i | −0.0779632 | − | 0.0779632i | ||||
\(534\) | 572.646 | − | 572.646i | 1.07237 | − | 1.07237i | ||||
\(535\) | −67.1220 | − | 67.1220i | −0.125462 | − | 0.125462i | ||||
\(536\) | −177.796 | −0.331709 | ||||||||
\(537\) | 480.601i | 0.894974i | ||||||||
\(538\) | − | 360.434i | − | 0.669952i | ||||||
\(539\) | 387.390 | − | 387.390i | 0.718719 | − | 0.718719i | ||||
\(540\) | 627.531i | 1.16210i | ||||||||
\(541\) | 380.352 | − | 380.352i | 0.703054 | − | 0.703054i | −0.262011 | − | 0.965065i | \(-0.584386\pi\) |
0.965065 | + | 0.262011i | \(0.0843858\pi\) | |||||||
\(542\) | − | 177.694i | − | 0.327848i | ||||||
\(543\) | −1028.11 | − | 1028.11i | −1.89340 | − | 1.89340i | ||||
\(544\) | 977.086 | 1.79611 | ||||||||
\(545\) | −18.0705 | − | 18.0705i | −0.0331569 | − | 0.0331569i | ||||
\(546\) | 571.230 | − | 571.230i | 1.04621 | − | 1.04621i | ||||
\(547\) | −48.5591 | + | 48.5591i | −0.0887734 | + | 0.0887734i | −0.750099 | − | 0.661326i | \(-0.769994\pi\) |
0.661326 | + | 0.750099i | \(0.269994\pi\) | |||||||
\(548\) | −496.211 | −0.905494 | ||||||||
\(549\) | 762.528i | 1.38894i | ||||||||
\(550\) | 104.515 | 0.190027 | ||||||||
\(551\) | − | 296.083i | − | 0.537356i | ||||||
\(552\) | −594.552 | −1.07709 | ||||||||
\(553\) | 1244.06 | − | 1244.06i | 2.24967 | − | 2.24967i | ||||
\(554\) | − | 380.931i | − | 0.687602i | ||||||
\(555\) | 44.1674i | 0.0795809i | ||||||||
\(556\) | −314.645 | + | 314.645i | −0.565909 | + | 0.565909i | ||||
\(557\) | − | 74.4865i | − | 0.133728i | −0.997762 | − | 0.0668640i | \(-0.978701\pi\) | ||
0.997762 | − | 0.0668640i | \(-0.0212994\pi\) | |||||||
\(558\) | −706.560 | −1.26624 | ||||||||
\(559\) | 215.444 | + | 215.444i | 0.385409 | + | 0.385409i | ||||
\(560\) | −70.3920 | − | 70.3920i | −0.125700 | − | 0.125700i | ||||
\(561\) | −620.607 | + | 620.607i | −1.10625 | + | 1.10625i | ||||
\(562\) | 272.438i | 0.484765i | ||||||||
\(563\) | 204.532i | 0.363289i | 0.983364 | + | 0.181644i | \(0.0581420\pi\) | ||||
−0.983364 | + | 0.181644i | \(0.941858\pi\) | |||||||
\(564\) | −263.554 | + | 263.554i | −0.467294 | + | 0.467294i | ||||
\(565\) | −518.633 | −0.917935 | ||||||||
\(566\) | −594.602 | −1.05053 | ||||||||
\(567\) | 3607.50i | 6.36244i | ||||||||
\(568\) | − | 440.406i | − | 0.775363i | ||||||
\(569\) | −322.772 | −0.567262 | −0.283631 | − | 0.958934i | \(-0.591539\pi\) | ||||
−0.283631 | + | 0.958934i | \(0.591539\pi\) | |||||||
\(570\) | −205.919 | + | 205.919i | −0.361262 | + | 0.361262i | ||||
\(571\) | −214.664 | + | 214.664i | −0.375944 | + | 0.375944i | −0.869637 | − | 0.493692i | \(-0.835647\pi\) |
0.493692 | + | 0.869637i | \(0.335647\pi\) | |||||||
\(572\) | −149.683 | −0.261683 | ||||||||
\(573\) | −647.248 | + | 647.248i | −1.12958 | + | 1.12958i | ||||
\(574\) | 54.6969 | − | 54.6969i | 0.0952907 | − | 0.0952907i | ||||
\(575\) | 257.935i | 0.448583i | ||||||||
\(576\) | 570.457 | 0.990376 | ||||||||
\(577\) | −116.609 | + | 116.609i | −0.202094 | + | 0.202094i | −0.800897 | − | 0.598802i | \(-0.795643\pi\) |
0.598802 | + | 0.800897i | \(0.295643\pi\) | |||||||
\(578\) | −447.330 | − | 447.330i | −0.773927 | − | 0.773927i | ||||
\(579\) | 495.361 | − | 495.361i | 0.855546 | − | 0.855546i | ||||
\(580\) | −81.5970 | − | 81.5970i | −0.140684 | − | 0.140684i | ||||
\(581\) | 807.177 | 1.38929 | ||||||||
\(582\) | 272.108 | 0.467540 | ||||||||
\(583\) | 150.695 | − | 150.695i | 0.258482 | − | 0.258482i | ||||
\(584\) | 315.363 | 0.540005 | ||||||||
\(585\) | 634.331 | 1.08433 | ||||||||
\(586\) | 35.5707 | + | 35.5707i | 0.0607009 | + | 0.0607009i | ||||
\(587\) | −769.607 | −1.31108 | −0.655542 | − | 0.755158i | \(-0.727560\pi\) | ||||
−0.655542 | + | 0.755158i | \(0.727560\pi\) | |||||||
\(588\) | −1217.51 | − | 1217.51i | −2.07060 | − | 2.07060i | ||||
\(589\) | 345.236 | + | 345.236i | 0.586139 | + | 0.586139i | ||||
\(590\) | − | 244.129i | − | 0.413778i | ||||||
\(591\) | −524.406 | − | 1008.06i | −0.887320 | − | 1.70568i | ||||
\(592\) | −9.53210 | −0.0161015 | ||||||||
\(593\) | 137.438 | − | 137.438i | 0.231767 | − | 0.231767i | −0.581663 | − | 0.813430i | \(-0.697598\pi\) |
0.813430 | + | 0.581663i | \(0.197598\pi\) | |||||||
\(594\) | −350.339 | + | 350.339i | −0.589796 | + | 0.589796i | ||||
\(595\) | 930.597i | 1.56403i | ||||||||
\(596\) | 180.435 | − | 180.435i | 0.302743 | − | 0.302743i | ||||
\(597\) | − | 1773.56i | − | 2.97079i | ||||||
\(598\) | 156.089i | 0.261018i | ||||||||
\(599\) | −72.5088 | − | 72.5088i | −0.121050 | − | 0.121050i | 0.643987 | − | 0.765037i | \(-0.277279\pi\) |
−0.765037 | + | 0.643987i | \(0.777279\pi\) | |||||||
\(600\) | − | 795.742i | − | 1.32624i | ||||||
\(601\) | 477.333i | 0.794231i | 0.917769 | + | 0.397115i | \(0.129989\pi\) | ||||
−0.917769 | + | 0.397115i | \(0.870011\pi\) | |||||||
\(602\) | −283.583 | + | 283.583i | −0.471068 | + | 0.471068i | ||||
\(603\) | −410.945 | − | 410.945i | −0.681501 | − | 0.681501i | ||||
\(604\) | 533.045 | − | 533.045i | 0.882525 | − | 0.882525i | ||||
\(605\) | −169.074 | − | 169.074i | −0.279462 | − | 0.279462i | ||||
\(606\) | 151.453i | 0.249922i | ||||||||
\(607\) | −1073.67 | −1.76882 | −0.884410 | − | 0.466711i | \(-0.845439\pi\) | ||||
−0.884410 | + | 0.466711i | \(0.845439\pi\) | |||||||
\(608\) | −428.351 | − | 428.351i | −0.704525 | − | 0.704525i | ||||
\(609\) | −822.868 | − | 822.868i | −1.35118 | − | 1.35118i | ||||
\(610\) | 86.7720i | 0.142249i | ||||||||
\(611\) | 167.618 | + | 167.618i | 0.274335 | + | 0.274335i | ||||
\(612\) | 1422.85 | + | 1422.85i | 2.32492 | + | 2.32492i | ||||
\(613\) | 520.153i | 0.848536i | 0.905537 | + | 0.424268i | \(0.139469\pi\) | ||||
−0.905537 | + | 0.424268i | \(0.860531\pi\) | |||||||
\(614\) | 134.297 | 0.218725 | ||||||||
\(615\) | 83.2626 | 0.135386 | ||||||||
\(616\) | − | 477.296i | − | 0.774831i | ||||||
\(617\) | 41.7746i | 0.0677060i | 0.999427 | + | 0.0338530i | \(0.0107778\pi\) | ||||
−0.999427 | + | 0.0338530i | \(0.989222\pi\) | |||||||
\(618\) | 355.816 | + | 355.816i | 0.575754 | + | 0.575754i | ||||
\(619\) | −454.582 | −0.734382 | −0.367191 | − | 0.930146i | \(-0.619680\pi\) | ||||
−0.367191 | + | 0.930146i | \(0.619680\pi\) | |||||||
\(620\) | 190.286 | 0.306913 | ||||||||
\(621\) | −864.614 | − | 864.614i | −1.39229 | − | 1.39229i | ||||
\(622\) | 225.084 | − | 225.084i | 0.361871 | − | 0.361871i | ||||
\(623\) | −1134.54 | + | 1134.54i | −1.82109 | + | 1.82109i | ||||
\(624\) | 187.666i | 0.300746i | ||||||||
\(625\) | −184.719 | −0.295550 | ||||||||
\(626\) | −14.7332 | − | 14.7332i | −0.0235355 | − | 0.0235355i | ||||
\(627\) | 544.144 | 0.867853 | ||||||||
\(628\) | 841.347 | 1.33972 | ||||||||
\(629\) | 63.0082 | + | 63.0082i | 0.100172 | + | 0.100172i | ||||
\(630\) | 834.953i | 1.32532i | ||||||||
\(631\) | 665.119 | 1.05407 | 0.527036 | − | 0.849843i | \(-0.323303\pi\) | ||||
0.527036 | + | 0.849843i | \(0.323303\pi\) | |||||||
\(632\) | − | 1048.73i | − | 1.65939i | ||||||
\(633\) | 401.954 | 0.634998 | ||||||||
\(634\) | − | 204.093i | − | 0.321913i | ||||||
\(635\) | 341.474 | + | 341.474i | 0.537755 | + | 0.537755i | ||||
\(636\) | −473.612 | − | 473.612i | −0.744673 | − | 0.744673i | ||||
\(637\) | −774.328 | + | 774.328i | −1.21559 | + | 1.21559i | ||||
\(638\) | − | 91.1081i | − | 0.142803i | ||||||
\(639\) | 1017.92 | − | 1017.92i | 1.59299 | − | 1.59299i | ||||
\(640\) | −270.942 | −0.423347 | ||||||||
\(641\) | 10.7337 | + | 10.7337i | 0.0167452 | + | 0.0167452i | 0.715430 | − | 0.698685i | \(-0.246231\pi\) |
−0.698685 | + | 0.715430i | \(0.746231\pi\) | |||||||
\(642\) | −235.544 | −0.366891 | ||||||||
\(643\) | −95.8475 | − | 95.8475i | −0.149063 | − | 0.149063i | 0.628636 | − | 0.777699i | \(-0.283613\pi\) |
−0.777699 | + | 0.628636i | \(0.783613\pi\) | |||||||
\(644\) | 486.241 | 0.755032 | ||||||||
\(645\) | −431.685 | −0.669280 | ||||||||
\(646\) | 587.520i | 0.909473i | ||||||||
\(647\) | 142.445 | − | 142.445i | 0.220162 | − | 0.220162i | −0.588404 | − | 0.808567i | \(-0.700244\pi\) |
0.808567 | + | 0.588404i | \(0.200244\pi\) | |||||||
\(648\) | 1520.54 | + | 1520.54i | 2.34652 | + | 2.34652i | ||||
\(649\) | −322.557 | + | 322.557i | −0.497006 | + | 0.497006i | ||||
\(650\) | −208.907 | −0.321396 | ||||||||
\(651\) | 1918.95 | 2.94769 | ||||||||
\(652\) | −230.714 | −0.353856 | ||||||||
\(653\) | − | 446.322i | − | 0.683495i | −0.939792 | − | 0.341747i | \(-0.888981\pi\) | ||
0.939792 | − | 0.341747i | \(-0.111019\pi\) | |||||||
\(654\) | −63.4130 | −0.0969617 | ||||||||
\(655\) | 203.131i | 0.310123i | ||||||||
\(656\) | 17.9695i | 0.0273926i | ||||||||
\(657\) | 728.906 | + | 728.906i | 1.10945 | + | 1.10945i | ||||
\(658\) | −220.632 | + | 220.632i | −0.335306 | + | 0.335306i | ||||
\(659\) | 206.775 | − | 206.775i | 0.313771 | − | 0.313771i | −0.532598 | − | 0.846368i | \(-0.678784\pi\) |
0.846368 | + | 0.532598i | \(0.178784\pi\) | |||||||
\(660\) | 149.960 | − | 149.960i | 0.227212 | − | 0.227212i | ||||
\(661\) | −181.862 | −0.275132 | −0.137566 | − | 0.990493i | \(-0.543928\pi\) | ||||
−0.137566 | + | 0.990493i | \(0.543928\pi\) | |||||||
\(662\) | −14.1722 | − | 14.1722i | −0.0214082 | − | 0.0214082i | ||||
\(663\) | 1240.49 | − | 1240.49i | 1.87103 | − | 1.87103i | ||||
\(664\) | 340.221 | − | 340.221i | 0.512381 | − | 0.512381i | ||||
\(665\) | 407.971 | − | 407.971i | 0.613490 | − | 0.613490i | ||||
\(666\) | 56.5324 | + | 56.5324i | 0.0848835 | + | 0.0848835i | ||||
\(667\) | 224.849 | 0.337105 | ||||||||
\(668\) | −300.526 | − | 300.526i | −0.449890 | − | 0.449890i | ||||
\(669\) | −1266.53 | − | 1266.53i | −1.89316 | − | 1.89316i | ||||
\(670\) | −46.7635 | − | 46.7635i | −0.0697963 | − | 0.0697963i | ||||
\(671\) | 114.648 | − | 114.648i | 0.170861 | − | 0.170861i | ||||
\(672\) | −2380.93 | −3.54305 | ||||||||
\(673\) | −580.202 | − | 580.202i | −0.862113 | − | 0.862113i | 0.129470 | − | 0.991583i | \(-0.458672\pi\) |
−0.991583 | + | 0.129470i | \(0.958672\pi\) | |||||||
\(674\) | − | 334.852i | − | 0.496814i | ||||||
\(675\) | 1157.19 | − | 1157.19i | 1.71436 | − | 1.71436i | ||||
\(676\) | −176.016 | −0.260379 | ||||||||
\(677\) | 71.3075 | + | 71.3075i | 0.105329 | + | 0.105329i | 0.757807 | − | 0.652479i | \(-0.226271\pi\) |
−0.652479 | + | 0.757807i | \(0.726271\pi\) | |||||||
\(678\) | −909.993 | + | 909.993i | −1.34217 | + | 1.34217i | ||||
\(679\) | −539.106 | −0.793970 | ||||||||
\(680\) | 392.242 | + | 392.242i | 0.576826 | + | 0.576826i | ||||
\(681\) | 2293.82 | 3.36831 | ||||||||
\(682\) | 106.233 | + | 106.233i | 0.155767 | + | 0.155767i | ||||
\(683\) | − | 191.450i | − | 0.280307i | −0.990130 | − | 0.140153i | \(-0.955240\pi\) | ||
0.990130 | − | 0.140153i | \(-0.0447596\pi\) | |||||||
\(684\) | − | 1247.55i | − | 1.82390i | ||||||
\(685\) | −316.171 | − | 316.171i | −0.461563 | − | 0.461563i | ||||
\(686\) | −548.788 | − | 548.788i | −0.799982 | − | 0.799982i | ||||
\(687\) | 1115.80i | 1.62416i | ||||||||
\(688\) | − | 93.1653i | − | 0.135415i | ||||||
\(689\) | −301.214 | + | 301.214i | −0.437175 | + | 0.437175i | ||||
\(690\) | −156.378 | − | 156.378i | −0.226634 | − | 0.226634i | ||||
\(691\) | 786.170 | 1.13773 | 0.568864 | − | 0.822432i | \(-0.307383\pi\) | ||||
0.568864 | + | 0.822432i | \(0.307383\pi\) | |||||||
\(692\) | −163.709 | −0.236574 | ||||||||
\(693\) | 1103.19 | − | 1103.19i | 1.59190 | − | 1.59190i | ||||
\(694\) | 49.2264 | − | 49.2264i | 0.0709315 | − | 0.0709315i | ||||
\(695\) | −400.965 | −0.576929 | ||||||||
\(696\) | −693.669 | −0.996651 | ||||||||
\(697\) | 118.781 | − | 118.781i | 0.170417 | − | 0.170417i | ||||
\(698\) | 47.5469i | 0.0681187i | ||||||||
\(699\) | −908.811 | + | 908.811i | −1.30016 | + | 1.30016i | ||||
\(700\) | 650.779i | 0.929684i | ||||||||
\(701\) | 185.025 | + | 185.025i | 0.263944 | + | 0.263944i | 0.826654 | − | 0.562710i | \(-0.190241\pi\) |
−0.562710 | + | 0.826654i | \(0.690241\pi\) | |||||||
\(702\) | 700.270 | − | 700.270i | 0.997535 | − | 0.997535i | ||||
\(703\) | − | 55.2452i | − | 0.0785849i | ||||||
\(704\) | −85.7696 | − | 85.7696i | −0.121832 | − | 0.121832i | ||||
\(705\) | −335.857 | −0.476394 | ||||||||
\(706\) | −24.6608 | + | 24.6608i | −0.0349303 | + | 0.0349303i | ||||
\(707\) | − | 300.060i | − | 0.424413i | ||||||
\(708\) | 1013.75 | + | 1013.75i | 1.43185 | + | 1.43185i | ||||
\(709\) | −624.792 | + | 624.792i | −0.881229 | + | 0.881229i | −0.993660 | − | 0.112430i | \(-0.964136\pi\) |
0.112430 | + | 0.993660i | \(0.464136\pi\) | |||||||
\(710\) | 115.835 | − | 115.835i | 0.163147 | − | 0.163147i | ||||
\(711\) | 2423.96 | − | 2423.96i | 3.40923 | − | 3.40923i | ||||
\(712\) | 956.402i | 1.34326i | ||||||||
\(713\) | −262.176 | + | 262.176i | −0.367709 | + | 0.367709i | ||||
\(714\) | 1632.82 | + | 1632.82i | 2.28687 | + | 2.28687i | ||||
\(715\) | −95.3733 | − | 95.3733i | −0.133389 | − | 0.133389i | ||||
\(716\) | −165.668 | − | 165.668i | −0.231379 | − | 0.231379i | ||||
\(717\) | 475.624 | − | 475.624i | 0.663353 | − | 0.663353i | ||||
\(718\) | − | 468.829i | − | 0.652965i | ||||||
\(719\) | 243.918 | + | 243.918i | 0.339246 | + | 0.339246i | 0.856083 | − | 0.516838i | \(-0.172891\pi\) |
−0.516838 | + | 0.856083i | \(0.672891\pi\) | |||||||
\(720\) | −137.153 | − | 137.153i | −0.190491 | − | 0.190491i | ||||
\(721\) | −704.948 | − | 704.948i | −0.977737 | − | 0.977737i | ||||
\(722\) | −20.6757 | + | 20.6757i | −0.0286368 | + | 0.0286368i | ||||
\(723\) | −2082.58 | −2.88048 | ||||||||
\(724\) | 708.801 | 0.979008 | ||||||||
\(725\) | 300.935i | 0.415083i | ||||||||
\(726\) | −593.315 | −0.817238 | ||||||||
\(727\) | 206.541i | 0.284101i | 0.989859 | + | 0.142050i | \(0.0453695\pi\) | ||||
−0.989859 | + | 0.142050i | \(0.954631\pi\) | |||||||
\(728\) | 954.036i | 1.31049i | ||||||||
\(729\) | 2456.55i | 3.36975i | ||||||||
\(730\) | 82.9460 | + | 82.9460i | 0.113625 | + | 0.113625i | ||||
\(731\) | −615.833 | + | 615.833i | −0.842452 | + | 0.842452i | ||||
\(732\) | −360.322 | − | 360.322i | −0.492243 | − | 0.492243i | ||||
\(733\) | 512.252 | 0.698843 | 0.349421 | − | 0.936966i | \(-0.386378\pi\) | ||||
0.349421 | + | 0.936966i | \(0.386378\pi\) | |||||||
\(734\) | − | 63.0230i | − | 0.0858624i | ||||||
\(735\) | − | 1551.52i | − | 2.11091i | ||||||
\(736\) | 325.295 | − | 325.295i | 0.441977 | − | 0.441977i | ||||
\(737\) | 123.573i | 0.167670i | ||||||||
\(738\) | 106.573 | − | 106.573i | 0.144407 | − | 0.144407i | ||||
\(739\) | 394.248i | 0.533489i | 0.963767 | + | 0.266745i | \(0.0859480\pi\) | ||||
−0.963767 | + | 0.266745i | \(0.914052\pi\) | |||||||
\(740\) | −15.2249 | − | 15.2249i | −0.0205742 | − | 0.0205742i | ||||
\(741\) | −1087.65 | −1.46782 | ||||||||
\(742\) | −396.479 | − | 396.479i | −0.534339 | − | 0.534339i | ||||
\(743\) | 328.638 | − | 328.638i | 0.442312 | − | 0.442312i | −0.450477 | − | 0.892788i | \(-0.648746\pi\) |
0.892788 | + | 0.450477i | \(0.148746\pi\) | |||||||
\(744\) | 808.825 | − | 808.825i | 1.08713 | − | 1.08713i | ||||
\(745\) | 229.935 | 0.308638 | ||||||||
\(746\) | − | 275.116i | − | 0.368789i | ||||||
\(747\) | 1572.72 | 2.10538 | ||||||||
\(748\) | − | 427.858i | − | 0.572003i | ||||||
\(749\) | 466.664 | 0.623049 | ||||||||
\(750\) | 490.905 | − | 490.905i | 0.654541 | − | 0.654541i | ||||
\(751\) | − | 787.826i | − | 1.04904i | −0.851399 | − | 0.524518i | \(-0.824246\pi\) | ||
0.851399 | − | 0.524518i | \(-0.175754\pi\) | |||||||
\(752\) | − | 72.4839i | − | 0.0963882i | ||||||
\(753\) | −5.54163 | + | 5.54163i | −0.00735940 | + | 0.00735940i | ||||
\(754\) | 182.110i | 0.241525i | ||||||||
\(755\) | 679.281 | 0.899710 | ||||||||
\(756\) | −2181.45 | − | 2181.45i | −2.88551 | − | 2.88551i | ||||
\(757\) | −722.305 | − | 722.305i | −0.954168 | − | 0.954168i | 0.0448270 | − | 0.998995i | \(-0.485726\pi\) |
−0.998995 | + | 0.0448270i | \(0.985726\pi\) | |||||||
\(758\) | −201.641 | + | 201.641i | −0.266017 | + | 0.266017i | ||||
\(759\) | 413.230i | 0.544440i | ||||||||
\(760\) | − | 343.915i | − | 0.452519i | ||||||
\(761\) | −346.382 | + | 346.382i | −0.455166 | + | 0.455166i | −0.897065 | − | 0.441899i | \(-0.854305\pi\) |
0.441899 | + | 0.897065i | \(0.354305\pi\) | |||||||
\(762\) | 1198.30 | 1.57257 | ||||||||
\(763\) | 125.635 | 0.164659 | ||||||||
\(764\) | − | 446.225i | − | 0.584064i | ||||||
\(765\) | 1813.20i | 2.37019i | ||||||||
\(766\) | 278.661 | 0.363788 | ||||||||
\(767\) | 644.738 | − | 644.738i | 0.840597 | − | 0.840597i | ||||
\(768\) | −858.856 | + | 858.856i | −1.11830 | + | 1.11830i | ||||
\(769\) | −709.265 | −0.922321 | −0.461161 | − | 0.887317i | \(-0.652567\pi\) | ||||
−0.461161 | + | 0.887317i | \(0.652567\pi\) | |||||||
\(770\) | 125.537 | − | 125.537i | 0.163035 | − | 0.163035i | ||||
\(771\) | −1388.62 | + | 1388.62i | −1.80106 | + | 1.80106i | ||||
\(772\) | 341.511i | 0.442372i | ||||||||
\(773\) | 823.941 | 1.06590 | 0.532950 | − | 0.846147i | \(-0.321083\pi\) | ||||
0.532950 | + | 0.846147i | \(0.321083\pi\) | |||||||
\(774\) | −552.539 | + | 552.539i | −0.713875 | + | 0.713875i | ||||
\(775\) | −350.894 | − | 350.894i | −0.452766 | − | 0.452766i |