Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [735,2,Mod(197,735)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(735, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("735.197");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 735 = 3 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 735.j (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: | \(5.86900454856\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(i)\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 197.3 | ||
Character | \(\chi\) | \(=\) | 735.197 |
Dual form | 735.2.j.g.638.3 |
$q$-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 \(\left(\mathbb{Z}/735\mathbb{Z}\right)^\times\).
\(n\) | \(346\) | \(442\) | \(491\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.06891 | + | 1.06891i | −0.755830 | + | 0.755830i | −0.975561 | − | 0.219730i | \(-0.929482\pi\) |
0.219730 | + | 0.975561i | \(0.429482\pi\) | |||||||
\(3\) | 1.73199 | − | 0.0150256i | 0.999962 | − | 0.00867502i | ||||
\(4\) | − | 0.285117i | − | 0.142558i | ||||||
\(5\) | −2.03205 | − | 0.933160i | −0.908759 | − | 0.417322i | ||||
\(6\) | −1.83527 | + | 1.86739i | −0.749245 | + | 0.762359i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −1.83305 | − | 1.83305i | −0.648080 | − | 0.648080i | ||||
\(9\) | 2.99955 | − | 0.0520482i | 0.999849 | − | 0.0173494i | ||||
\(10\) | 3.16952 | − | 1.17461i | 1.00229 | − | 0.371443i | ||||
\(11\) | − | 0.914115i | − | 0.275616i | −0.990459 | − | 0.137808i | \(-0.955994\pi\) | ||
0.990459 | − | 0.137808i | \(-0.0440057\pi\) | |||||||
\(12\) | −0.00428405 | − | 0.493818i | −0.00123670 | − | 0.142553i | ||||
\(13\) | 3.07974 | − | 3.07974i | 0.854166 | − | 0.854166i | −0.136477 | − | 0.990643i | \(-0.543578\pi\) |
0.990643 | + | 0.136477i | \(0.0435781\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −3.53350 | − | 1.58569i | −0.912345 | − | 0.409423i | ||||
\(16\) | 4.48894 | 1.12224 | ||||||||
\(17\) | −0.850861 | + | 0.850861i | −0.206364 | + | 0.206364i | −0.802720 | − | 0.596356i | \(-0.796615\pi\) |
0.596356 | + | 0.802720i | \(0.296615\pi\) | |||||||
\(18\) | −3.15060 | + | 3.26187i | −0.742603 | + | 0.768830i | ||||
\(19\) | − | 6.87436i | − | 1.57709i | −0.614979 | − | 0.788543i | \(-0.710836\pi\) | ||
0.614979 | − | 0.788543i | \(-0.289164\pi\) | |||||||
\(20\) | −0.266060 | + | 0.579371i | −0.0594928 | + | 0.129551i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.977102 | + | 0.977102i | 0.208319 | + | 0.208319i | ||||
\(23\) | 1.38222 | + | 1.38222i | 0.288212 | + | 0.288212i | 0.836373 | − | 0.548161i | \(-0.184672\pi\) |
−0.548161 | + | 0.836373i | \(0.684672\pi\) | |||||||
\(24\) | −3.20235 | − | 3.14727i | −0.653678 | − | 0.642434i | ||||
\(25\) | 3.25842 | + | 3.79245i | 0.651685 | + | 0.758490i | ||||
\(26\) | 6.58390i | 1.29121i | ||||||||
\(27\) | 5.19439 | − | 0.135217i | 0.999661 | − | 0.0260225i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.72261 | 0.505576 | 0.252788 | − | 0.967522i | \(-0.418652\pi\) | ||||
0.252788 | + | 0.967522i | \(0.418652\pi\) | |||||||
\(30\) | 5.47192 | − | 2.08202i | 0.999032 | − | 0.380124i | ||||
\(31\) | 4.63375 | 0.832247 | 0.416123 | − | 0.909308i | \(-0.363388\pi\) | ||||
0.416123 | + | 0.909308i | \(0.363388\pi\) | |||||||
\(32\) | −1.13216 | + | 1.13216i | −0.200139 | + | 0.200139i | ||||
\(33\) | −0.0137351 | − | 1.58323i | −0.00239097 | − | 0.275606i | ||||
\(34\) | − | 1.81898i | − | 0.311952i | ||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.0148398 | − | 0.855222i | −0.00247330 | − | 0.142537i | ||||
\(37\) | 0.567326 | + | 0.567326i | 0.0932678 | + | 0.0932678i | 0.752201 | − | 0.658933i | \(-0.228992\pi\) |
−0.658933 | + | 0.752201i | \(0.728992\pi\) | |||||||
\(38\) | 7.34804 | + | 7.34804i | 1.19201 | + | 1.19201i | ||||
\(39\) | 5.28779 | − | 5.38034i | 0.846724 | − | 0.861544i | ||||
\(40\) | 2.01431 | + | 5.43536i | 0.318490 | + | 0.859407i | ||||
\(41\) | 0.922837i | 0.144123i | 0.997400 | + | 0.0720615i | \(0.0229578\pi\) | ||||
−0.997400 | + | 0.0720615i | \(0.977042\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.80893 | + | 4.80893i | −0.733355 | + | 0.733355i | −0.971283 | − | 0.237928i | \(-0.923532\pi\) |
0.237928 | + | 0.971283i | \(0.423532\pi\) | |||||||
\(44\) | −0.260630 | −0.0392914 | ||||||||
\(45\) | −6.14379 | − | 2.69330i | −0.915862 | − | 0.401493i | ||||
\(46\) | −2.95492 | −0.435679 | ||||||||
\(47\) | 7.41129 | − | 7.41129i | 1.08105 | − | 1.08105i | 0.0846364 | − | 0.996412i | \(-0.473027\pi\) |
0.996412 | − | 0.0846364i | \(-0.0269729\pi\) | |||||||
\(48\) | 7.77478 | − | 0.0674490i | 1.12219 | − | 0.00973542i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −7.53672 | − | 0.570823i | −1.06585 | − | 0.0807265i | ||||
\(51\) | −1.46089 | + | 1.48646i | −0.204566 | + | 0.208147i | ||||
\(52\) | −0.878086 | − | 0.878086i | −0.121769 | − | 0.121769i | ||||
\(53\) | −7.79887 | − | 7.79887i | −1.07126 | − | 1.07126i | −0.997258 | − | 0.0739991i | \(-0.976424\pi\) |
−0.0739991 | − | 0.997258i | \(-0.523576\pi\) | |||||||
\(54\) | −5.40778 | + | 5.69685i | −0.735906 | + | 0.775243i | ||||
\(55\) | −0.853015 | + | 1.85752i | −0.115021 | + | 0.250468i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.103291 | − | 11.9063i | −0.0136813 | − | 1.57703i | ||||
\(58\) | −2.91021 | + | 2.91021i | −0.382130 | + | 0.382130i | ||||
\(59\) | 9.88045 | 1.28633 | 0.643163 | − | 0.765730i | \(-0.277622\pi\) | ||||
0.643163 | + | 0.765730i | \(0.277622\pi\) | |||||||
\(60\) | −0.452106 | + | 1.00746i | −0.0583667 | + | 0.130062i | ||||
\(61\) | −1.06789 | −0.136729 | −0.0683645 | − | 0.997660i | \(-0.521778\pi\) | ||||
−0.0683645 | + | 0.997660i | \(0.521778\pi\) | |||||||
\(62\) | −4.95304 | + | 4.95304i | −0.629037 | + | 0.629037i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 6.55754i | 0.819693i | ||||||||
\(65\) | −9.13206 | + | 3.38428i | −1.13269 | + | 0.419768i | ||||
\(66\) | 1.70701 | + | 1.67764i | 0.210118 | + | 0.206504i | ||||
\(67\) | −5.00326 | − | 5.00326i | −0.611246 | − | 0.611246i | 0.332025 | − | 0.943271i | \(-0.392268\pi\) |
−0.943271 | + | 0.332025i | \(0.892268\pi\) | |||||||
\(68\) | 0.242595 | + | 0.242595i | 0.0294189 | + | 0.0294189i | ||||
\(69\) | 2.41475 | + | 2.37321i | 0.290701 | + | 0.285701i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.557759i | 0.0661938i | 0.999452 | + | 0.0330969i | \(0.0105370\pi\) | ||||
−0.999452 | + | 0.0330969i | \(0.989463\pi\) | |||||||
\(72\) | −5.59372 | − | 5.40291i | −0.659226 | − | 0.636739i | ||||
\(73\) | −1.54128 | + | 1.54128i | −0.180393 | + | 0.180393i | −0.791527 | − | 0.611134i | \(-0.790714\pi\) |
0.611134 | + | 0.791527i | \(0.290714\pi\) | |||||||
\(74\) | −1.21284 | −0.140989 | ||||||||
\(75\) | 5.70053 | + | 6.51951i | 0.658240 | + | 0.752808i | ||||
\(76\) | −1.96000 | −0.224827 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0.0989269 | + | 11.4032i | 0.0112013 | + | 1.29116i | ||||
\(79\) | − | 3.03113i | − | 0.341029i | −0.985355 | − | 0.170514i | \(-0.945457\pi\) | ||
0.985355 | − | 0.170514i | \(-0.0545429\pi\) | |||||||
\(80\) | −9.12174 | − | 4.18890i | −1.01984 | − | 0.468334i | ||||
\(81\) | 8.99458 | − | 0.312242i | 0.999398 | − | 0.0346936i | ||||
\(82\) | −0.986425 | − | 0.986425i | −0.108932 | − | 0.108932i | ||||
\(83\) | −2.38102 | − | 2.38102i | −0.261351 | − | 0.261351i | 0.564252 | − | 0.825603i | \(-0.309165\pi\) |
−0.825603 | + | 0.564252i | \(0.809165\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.52298 | − | 0.934999i | 0.273655 | − | 0.101415i | ||||
\(86\) | − | 10.2806i | − | 1.10858i | ||||||
\(87\) | 4.71552 | − | 0.0409088i | 0.505557 | − | 0.00438589i | ||||
\(88\) | −1.67562 | + | 1.67562i | −0.178621 | + | 0.178621i | ||||
\(89\) | 11.2945 | 1.19721 | 0.598607 | − | 0.801043i | \(-0.295721\pi\) | ||||
0.598607 | + | 0.801043i | \(0.295721\pi\) | |||||||
\(90\) | 9.44601 | − | 3.68825i | 0.995697 | − | 0.388776i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.394093 | − | 0.394093i | 0.0410871 | − | 0.0410871i | ||||
\(93\) | 8.02560 | − | 0.0696248i | 0.832216 | − | 0.00721976i | ||||
\(94\) | 15.8439i | 1.63418i | ||||||||
\(95\) | −6.41488 | + | 13.9690i | −0.658153 | + | 1.43319i | ||||
\(96\) | −1.94387 | + | 1.97789i | −0.198396 | + | 0.201868i | ||||
\(97\) | −1.58805 | − | 1.58805i | −0.161242 | − | 0.161242i | 0.621875 | − | 0.783117i | \(-0.286371\pi\) |
−0.783117 | + | 0.621875i | \(0.786371\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.0475780 | − | 2.74193i | −0.00478177 | − | 0.275574i | ||||
\(100\) | 1.08129 | − | 0.929032i | 0.108129 | − | 0.0929032i | ||||
\(101\) | − | 4.64534i | − | 0.462229i | −0.972927 | − | 0.231114i | \(-0.925763\pi\) | ||
0.972927 | − | 0.231114i | \(-0.0742372\pi\) | |||||||
\(102\) | −0.0273312 | − | 3.15045i | −0.00270619 | − | 0.311941i | ||||
\(103\) | −7.44634 | + | 7.44634i | −0.733710 | + | 0.733710i | −0.971353 | − | 0.237643i | \(-0.923625\pi\) |
0.237643 | + | 0.971353i | \(0.423625\pi\) | |||||||
\(104\) | −11.2906 | −1.10714 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 16.6725 | 1.61938 | ||||||||
\(107\) | −4.47393 | + | 4.47393i | −0.432511 | + | 0.432511i | −0.889482 | − | 0.456971i | \(-0.848934\pi\) |
0.456971 | + | 0.889482i | \(0.348934\pi\) | |||||||
\(108\) | −0.0385526 | − | 1.48101i | −0.00370972 | − | 0.142510i | ||||
\(109\) | 8.61909i | 0.825559i | 0.910831 | + | 0.412779i | \(0.135442\pi\) | ||||
−0.910831 | + | 0.412779i | \(0.864558\pi\) | |||||||
\(110\) | −1.07372 | − | 2.89731i | −0.102376 | − | 0.276248i | ||||
\(111\) | 0.991125 | + | 0.974076i | 0.0940734 | + | 0.0924552i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 7.44178 | + | 7.44178i | 0.700064 | + | 0.700064i | 0.964424 | − | 0.264360i | \(-0.0851608\pi\) |
−0.264360 | + | 0.964424i | \(0.585161\pi\) | |||||||
\(114\) | 12.8371 | + | 12.6163i | 1.20231 | + | 1.18162i | ||||
\(115\) | −1.51890 | − | 4.09856i | −0.141638 | − | 0.382192i | ||||
\(116\) | − | 0.776263i | − | 0.0720742i | ||||||
\(117\) | 9.07753 | − | 9.39812i | 0.839218 | − | 0.868857i | ||||
\(118\) | −10.5613 | + | 10.5613i | −0.972243 | + | 0.972243i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 3.57043 | + | 9.38371i | 0.325934 | + | 0.856611i | ||||
\(121\) | 10.1644 | 0.924036 | ||||||||
\(122\) | 1.14147 | − | 1.14147i | 0.103344 | − | 0.103344i | ||||
\(123\) | 0.0138662 | + | 1.59834i | 0.00125027 | + | 0.144118i | ||||
\(124\) | − | 1.32116i | − | 0.118644i | ||||||
\(125\) | −3.08230 | − | 10.7471i | −0.275690 | − | 0.961247i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.42895 | − | 4.42895i | −0.393006 | − | 0.393006i | 0.482752 | − | 0.875757i | \(-0.339637\pi\) |
−0.875757 | + | 0.482752i | \(0.839637\pi\) | |||||||
\(128\) | −9.27371 | − | 9.27371i | −0.819688 | − | 0.819688i | ||||
\(129\) | −8.25674 | + | 8.40126i | −0.726966 | + | 0.739690i | ||||
\(130\) | 6.14383 | − | 13.3788i | 0.538850 | − | 1.17340i | ||||
\(131\) | 8.51315i | 0.743797i | 0.928273 | + | 0.371899i | \(0.121293\pi\) | ||||
−0.928273 | + | 0.371899i | \(0.878707\pi\) | |||||||
\(132\) | −0.451407 | + | 0.00391611i | −0.0392899 | + | 0.000340854i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 10.6960 | 0.923996 | ||||||||
\(135\) | −10.6814 | − | 4.57243i | −0.919311 | − | 0.393532i | ||||
\(136\) | 3.11934 | 0.267481 | ||||||||
\(137\) | 7.30622 | − | 7.30622i | 0.624212 | − | 0.624212i | −0.322393 | − | 0.946606i | \(-0.604487\pi\) |
0.946606 | + | 0.322393i | \(0.104487\pi\) | |||||||
\(138\) | −5.11787 | + | 0.0443993i | −0.435662 | + | 0.00377952i | ||||
\(139\) | − | 3.03547i | − | 0.257465i | −0.991679 | − | 0.128733i | \(-0.958909\pi\) | ||
0.991679 | − | 0.128733i | \(-0.0410909\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 12.7249 | − | 12.9476i | 1.07163 | − | 1.09039i | ||||
\(142\) | −0.596191 | − | 0.596191i | −0.0500313 | − | 0.0500313i | ||||
\(143\) | −2.81523 | − | 2.81523i | −0.235422 | − | 0.235422i | ||||
\(144\) | 13.4648 | − | 0.233641i | 1.12207 | − | 0.0194701i | ||||
\(145\) | −5.53247 | − | 2.54063i | −0.459447 | − | 0.210988i | ||||
\(146\) | − | 3.29496i | − | 0.272693i | ||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.161754 | − | 0.161754i | 0.0132961 | − | 0.0132961i | ||||
\(149\) | −12.8801 | −1.05518 | −0.527590 | − | 0.849499i | \(-0.676904\pi\) | ||||
−0.527590 | + | 0.849499i | \(0.676904\pi\) | |||||||
\(150\) | −13.0621 | − | 0.875413i | −1.06651 | − | 0.0714772i | ||||
\(151\) | 11.8988 | 0.968309 | 0.484154 | − | 0.874983i | \(-0.339127\pi\) | ||||
0.484154 | + | 0.874983i | \(0.339127\pi\) | |||||||
\(152\) | −12.6010 | + | 12.6010i | −1.02208 | + | 1.02208i | ||||
\(153\) | −2.50791 | + | 2.59648i | −0.202753 | + | 0.209913i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −9.41600 | − | 4.32404i | −0.756312 | − | 0.347315i | ||||
\(156\) | −1.53403 | − | 1.50764i | −0.122820 | − | 0.120708i | ||||
\(157\) | −9.83758 | − | 9.83758i | −0.785124 | − | 0.785124i | 0.195566 | − | 0.980691i | \(-0.437346\pi\) |
−0.980691 | + | 0.195566i | \(0.937346\pi\) | |||||||
\(158\) | 3.23999 | + | 3.23999i | 0.257760 | + | 0.257760i | ||||
\(159\) | −13.6247 | − | 13.3904i | −1.08051 | − | 1.06192i | ||||
\(160\) | 3.35709 | − | 1.24411i | 0.265401 | − | 0.0983558i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −9.28060 | + | 9.94811i | −0.729153 | + | 0.781598i | ||||
\(163\) | −17.0369 | + | 17.0369i | −1.33443 | + | 1.33443i | −0.433075 | + | 0.901358i | \(0.642571\pi\) |
−0.901358 | + | 0.433075i | \(0.857429\pi\) | |||||||
\(164\) | 0.263116 | 0.0205459 | ||||||||
\(165\) | −1.44950 | + | 3.23002i | −0.112843 | + | 0.251457i | ||||
\(166\) | 5.09016 | 0.395073 | ||||||||
\(167\) | 4.98846 | − | 4.98846i | 0.386018 | − | 0.386018i | −0.487246 | − | 0.873265i | \(-0.661999\pi\) |
0.873265 | + | 0.487246i | \(0.161999\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 5.96958i | − | 0.459199i | ||||||
\(170\) | −1.69740 | + | 3.69625i | −0.130185 | + | 0.283489i | ||||
\(171\) | −0.357798 | − | 20.6200i | −0.0273615 | − | 1.57685i | ||||
\(172\) | 1.37111 | + | 1.37111i | 0.104546 | + | 0.104546i | ||||
\(173\) | −17.0165 | − | 17.0165i | −1.29374 | − | 1.29374i | −0.932454 | − | 0.361288i | \(-0.882337\pi\) |
−0.361288 | − | 0.932454i | \(-0.617663\pi\) | |||||||
\(174\) | −4.99672 | + | 5.08418i | −0.378800 | + | 0.385430i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | − | 4.10341i | − | 0.309306i | ||||||
\(177\) | 17.1128 | − | 0.148459i | 1.28628 | − | 0.0111589i | ||||
\(178\) | −12.0728 | + | 12.0728i | −0.904891 | + | 0.904891i | ||||
\(179\) | −5.11855 | −0.382578 | −0.191289 | − | 0.981534i | \(-0.561267\pi\) | ||||
−0.191289 | + | 0.981534i | \(0.561267\pi\) | |||||||
\(180\) | −0.767904 | + | 1.75170i | −0.0572362 | + | 0.130564i | ||||
\(181\) | −1.77024 | −0.131581 | −0.0657906 | − | 0.997833i | \(-0.520957\pi\) | ||||
−0.0657906 | + | 0.997833i | \(0.520957\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.84957 | + | 0.0160456i | −0.136724 | + | 0.00118613i | ||||
\(184\) | − | 5.06734i | − | 0.373569i | ||||||
\(185\) | −0.623427 | − | 1.68224i | −0.0458352 | − | 0.123681i | ||||
\(186\) | −8.50418 | + | 8.65302i | −0.623557 | + | 0.634471i | ||||
\(187\) | 0.777784 | + | 0.777784i | 0.0568772 | + | 0.0568772i | ||||
\(188\) | −2.11309 | − | 2.11309i | −0.154113 | − | 0.154113i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −8.07466 | − | 21.7885i | −0.585797 | − | 1.58070i | ||||
\(191\) | − | 9.17909i | − | 0.664176i | −0.943248 | − | 0.332088i | \(-0.892247\pi\) | ||
0.943248 | − | 0.332088i | \(-0.107753\pi\) | |||||||
\(192\) | 0.0985309 | + | 11.3576i | 0.00711085 | + | 0.819662i | ||||
\(193\) | −5.01626 | + | 5.01626i | −0.361079 | + | 0.361079i | −0.864210 | − | 0.503131i | \(-0.832181\pi\) |
0.503131 | + | 0.864210i | \(0.332181\pi\) | |||||||
\(194\) | 3.39495 | 0.243743 | ||||||||
\(195\) | −15.7657 | + | 5.99874i | −1.12901 | + | 0.429579i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −12.5538 | + | 12.5538i | −0.894420 | + | 0.894420i | −0.994935 | − | 0.100516i | \(-0.967951\pi\) |
0.100516 | + | 0.994935i | \(0.467951\pi\) | |||||||
\(198\) | 2.98172 | + | 2.88001i | 0.211902 | + | 0.204673i | ||||
\(199\) | − | 17.2165i | − | 1.22044i | −0.792230 | − | 0.610222i | \(-0.791080\pi\) | ||
0.792230 | − | 0.610222i | \(-0.208920\pi\) | |||||||
\(200\) | 0.978894 | − | 12.9246i | 0.0692183 | − | 0.913906i | ||||
\(201\) | −8.74076 | − | 8.59040i | −0.616525 | − | 0.605920i | ||||
\(202\) | 4.96543 | + | 4.96543i | 0.349367 | + | 0.349367i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0.423816 | + | 0.416526i | 0.0296731 | + | 0.0291626i | ||||
\(205\) | 0.861155 | − | 1.87525i | 0.0601457 | − | 0.130973i | ||||
\(206\) | − | 15.9189i | − | 1.10912i | ||||||
\(207\) | 4.21797 | + | 4.07408i | 0.293169 | + | 0.283168i | ||||
\(208\) | 13.8248 | − | 13.8248i | 0.958575 | − | 0.958575i | ||||
\(209\) | −6.28395 | −0.434670 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −9.75343 | −0.671454 | −0.335727 | − | 0.941959i | \(-0.608982\pi\) | ||||
−0.335727 | + | 0.941959i | \(0.608982\pi\) | |||||||
\(212\) | −2.22359 | + | 2.22359i | −0.152717 | + | 0.152717i | ||||
\(213\) | 0.00838065 | + | 0.966030i | 0.000574233 | + | 0.0661913i | ||||
\(214\) | − | 9.56442i | − | 0.653810i | ||||||
\(215\) | 14.2595 | − | 5.28447i | 0.972488 | − | 0.360398i | ||||
\(216\) | −9.76943 | − | 9.27371i | −0.664725 | − | 0.630996i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −9.21299 | − | 9.21299i | −0.623982 | − | 0.623982i | ||||
\(219\) | −2.64631 | + | 2.69263i | −0.178821 | + | 0.181951i | ||||
\(220\) | 0.529611 | + | 0.243209i | 0.0357064 | + | 0.0163972i | ||||
\(221\) | 5.24086i | 0.352538i | ||||||||
\(222\) | −2.10061 | + | 0.0182236i | −0.140984 | + | 0.00122308i | ||||
\(223\) | 9.17286 | − | 9.17286i | 0.614260 | − | 0.614260i | −0.329793 | − | 0.944053i | \(-0.606979\pi\) |
0.944053 | + | 0.329793i | \(0.106979\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 9.97119 | + | 11.2060i | 0.664746 | + | 0.747069i | ||||
\(226\) | −15.9091 | −1.05826 | ||||||||
\(227\) | −16.9999 | + | 16.9999i | −1.12832 | + | 1.12832i | −0.137870 | + | 0.990450i | \(0.544026\pi\) |
−0.990450 | + | 0.137870i | \(0.955974\pi\) | |||||||
\(228\) | −3.39469 | + | 0.0294501i | −0.224819 | + | 0.00195038i | ||||
\(229\) | 3.25690i | 0.215222i | 0.994193 | + | 0.107611i | \(0.0343201\pi\) | ||||
−0.994193 | + | 0.107611i | \(0.965680\pi\) | |||||||
\(230\) | 6.00453 | + | 2.75741i | 0.395927 | + | 0.181818i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.99068 | − | 4.99068i | −0.327654 | − | 0.327654i | ||||
\(233\) | 11.7937 | + | 11.7937i | 0.772630 | + | 0.772630i | 0.978566 | − | 0.205935i | \(-0.0660236\pi\) |
−0.205935 | + | 0.978566i | \(0.566024\pi\) | |||||||
\(234\) | 0.342680 | + | 19.7487i | 0.0224017 | + | 1.29101i | ||||
\(235\) | −21.9760 | + | 8.14417i | −1.43356 | + | 0.531267i | ||||
\(236\) | − | 2.81708i | − | 0.183377i | ||||||
\(237\) | −0.0455445 | − | 5.24987i | −0.00295843 | − | 0.341016i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 15.1824 | 0.982070 | 0.491035 | − | 0.871140i | \(-0.336619\pi\) | ||||
0.491035 | + | 0.871140i | \(0.336619\pi\) | |||||||
\(240\) | −15.8617 | − | 7.11806i | −1.02387 | − | 0.459469i | ||||
\(241\) | 0.118764 | 0.00765029 | 0.00382515 | − | 0.999993i | \(-0.498782\pi\) | ||||
0.00382515 | + | 0.999993i | \(0.498782\pi\) | |||||||
\(242\) | −10.8648 | + | 10.8648i | −0.698414 | + | 0.698414i | ||||
\(243\) | 15.5738 | − | 0.675948i | 0.999059 | − | 0.0433621i | ||||
\(244\) | 0.304473i | 0.0194919i | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −1.72330 | − | 1.69365i | −0.109873 | − | 0.107983i | ||||
\(247\) | −21.1712 | − | 21.1712i | −1.34709 | − | 1.34709i | ||||
\(248\) | −8.49389 | − | 8.49389i | −0.539363 | − | 0.539363i | ||||
\(249\) | −4.15966 | − | 4.08811i | −0.263608 | − | 0.259074i | ||||
\(250\) | 14.7823 | + | 8.19290i | 0.934914 | + | 0.518165i | ||||
\(251\) | 16.8255i | 1.06202i | 0.847367 | + | 0.531008i | \(0.178187\pi\) | ||||
−0.847367 | + | 0.531008i | \(0.821813\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.26350 | − | 1.26350i | 0.0794358 | − | 0.0794358i | ||||
\(254\) | 9.46825 | 0.594091 | ||||||||
\(255\) | 4.35571 | − | 1.65731i | 0.272765 | − | 0.103785i | ||||
\(256\) | 6.71035 | 0.419397 | ||||||||
\(257\) | −9.84080 | + | 9.84080i | −0.613852 | + | 0.613852i | −0.943948 | − | 0.330095i | \(-0.892919\pi\) |
0.330095 | + | 0.943948i | \(0.392919\pi\) | |||||||
\(258\) | −0.154472 | − | 17.8058i | −0.00961699 | − | 1.10854i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0.964916 | + | 2.60371i | 0.0598416 | + | 0.161475i | ||||
\(261\) | 8.16661 | − | 0.141707i | 0.505500 | − | 0.00877144i | ||||
\(262\) | −9.09975 | − | 9.09975i | −0.562185 | − | 0.562185i | ||||
\(263\) | 15.2095 | + | 15.2095i | 0.937859 | + | 0.937859i | 0.998179 | − | 0.0603201i | \(-0.0192121\pi\) |
−0.0603201 | + | 0.998179i | \(0.519212\pi\) | |||||||
\(264\) | −2.87696 | + | 2.92732i | −0.177065 | + | 0.180164i | ||||
\(265\) | 8.57007 | + | 23.1253i | 0.526455 | + | 1.42057i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 19.5619 | − | 0.169706i | 1.19717 | − | 0.0103859i | ||||
\(268\) | −1.42652 | + | 1.42652i | −0.0871383 | + | 0.0871383i | ||||
\(269\) | 18.8824 | 1.15128 | 0.575639 | − | 0.817704i | \(-0.304753\pi\) | ||||
0.575639 | + | 0.817704i | \(0.304753\pi\) | |||||||
\(270\) | 16.3049 | − | 6.52993i | 0.992286 | − | 0.397399i | ||||
\(271\) | −3.71182 | −0.225477 | −0.112739 | − | 0.993625i | \(-0.535962\pi\) | ||||
−0.112739 | + | 0.993625i | \(0.535962\pi\) | |||||||
\(272\) | −3.81947 | + | 3.81947i | −0.231589 | + | 0.231589i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 15.6193i | 0.943597i | ||||||||
\(275\) | 3.46673 | − | 2.97857i | 0.209052 | − | 0.179615i | ||||
\(276\) | 0.676642 | − | 0.688485i | 0.0407291 | − | 0.0414420i | ||||
\(277\) | 5.34687 | + | 5.34687i | 0.321263 | + | 0.321263i | 0.849251 | − | 0.527989i | \(-0.177054\pi\) |
−0.527989 | + | 0.849251i | \(0.677054\pi\) | |||||||
\(278\) | 3.24463 | + | 3.24463i | 0.194600 | + | 0.194600i | ||||
\(279\) | 13.8992 | − | 0.241178i | 0.832122 | − | 0.0144390i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 12.0546i | − | 0.719117i | −0.933122 | − | 0.359559i | \(-0.882927\pi\) | ||
0.933122 | − | 0.359559i | \(-0.117073\pi\) | |||||||
\(282\) | 0.238064 | + | 27.4415i | 0.0141765 | + | 1.63412i | ||||
\(283\) | −16.9801 | + | 16.9801i | −1.00936 | + | 1.00936i | −0.00940506 | + | 0.999956i | \(0.502994\pi\) |
−0.999956 | + | 0.00940506i | \(0.997006\pi\) | |||||||
\(284\) | 0.159026 | 0.00943649 | ||||||||
\(285\) | −10.9006 | + | 24.2905i | −0.645695 | + | 1.43885i | ||||
\(286\) | 6.01844 | 0.355878 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −3.33704 | + | 3.45489i | −0.196637 | + | 0.203581i | ||||
\(289\) | 15.5521i | 0.914828i | ||||||||
\(290\) | 8.62939 | − | 3.19799i | 0.506735 | − | 0.187793i | ||||
\(291\) | −2.77434 | − | 2.72662i | −0.162635 | − | 0.159837i | ||||
\(292\) | 0.439445 | + | 0.439445i | 0.0257165 | + | 0.0257165i | ||||
\(293\) | −12.2498 | − | 12.2498i | −0.715644 | − | 0.715644i | 0.252066 | − | 0.967710i | \(-0.418890\pi\) |
−0.967710 | + | 0.252066i | \(0.918890\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −20.0775 | − | 9.22004i | −1.16896 | − | 0.536812i | ||||
\(296\) | − | 2.07987i | − | 0.120890i | ||||||
\(297\) | −0.123604 | − | 4.74827i | −0.00717220 | − | 0.275523i | ||||
\(298\) | 13.7676 | − | 13.7676i | 0.797538 | − | 0.797538i | ||||
\(299\) | 8.51373 | 0.492362 | ||||||||
\(300\) | 1.85882 | − | 1.62532i | 0.107319 | − | 0.0938377i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −12.7187 | + | 12.7187i | −0.731877 | + | 0.731877i | ||||
\(303\) | −0.0697990 | − | 8.04567i | −0.00400985 | − | 0.462212i | ||||
\(304\) | − | 30.8586i | − | 1.76986i | ||||||
\(305\) | 2.17000 | + | 0.996511i | 0.124254 | + | 0.0570600i | ||||
\(306\) | −0.0946746 | − | 5.45612i | −0.00541218 | − | 0.311905i | ||||
\(307\) | −12.5028 | − | 12.5028i | −0.713571 | − | 0.713571i | 0.253709 | − | 0.967280i | \(-0.418349\pi\) |
−0.967280 | + | 0.253709i | \(0.918349\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −12.7851 | + | 13.0088i | −0.727317 | + | 0.740047i | ||||
\(310\) | 14.6868 | − | 5.44283i | 0.834154 | − | 0.309132i | ||||
\(311\) | 23.4396i | 1.32914i | 0.747227 | + | 0.664569i | \(0.231385\pi\) | ||||
−0.747227 | + | 0.664569i | \(0.768615\pi\) | |||||||
\(312\) | −19.5552 | + | 0.169648i | −1.10709 | + | 0.00960443i | ||||
\(313\) | −7.49546 | + | 7.49546i | −0.423668 | + | 0.423668i | −0.886465 | − | 0.462796i | \(-0.846846\pi\) |
0.462796 | + | 0.886465i | \(0.346846\pi\) | |||||||
\(314\) | 21.0309 | 1.18684 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.864226 | −0.0486165 | ||||||||
\(317\) | 14.5259 | − | 14.5259i | 0.815858 | − | 0.815858i | −0.169647 | − | 0.985505i | \(-0.554263\pi\) |
0.985505 | + | 0.169647i | \(0.0542628\pi\) | |||||||
\(318\) | 28.8765 | − | 0.250514i | 1.61932 | − | 0.0140481i | ||||
\(319\) | − | 2.48878i | − | 0.139345i | ||||||
\(320\) | 6.11924 | − | 13.3252i | 0.342076 | − | 0.744903i | ||||
\(321\) | −7.68156 | + | 7.81601i | −0.428743 | + | 0.436247i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 5.84912 | + | 5.84912i | 0.325454 | + | 0.325454i | ||||
\(324\) | −0.0890255 | − | 2.56451i | −0.00494586 | − | 0.142473i | ||||
\(325\) | 21.7148 | + | 1.64466i | 1.20452 | + | 0.0912293i | ||||
\(326\) | − | 36.4217i | − | 2.01721i | ||||||
\(327\) | 0.129507 | + | 14.9281i | 0.00716174 | + | 0.825528i | ||||
\(328\) | 1.69160 | − | 1.69160i | 0.0934032 | − | 0.0934032i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −1.90321 | − | 5.00196i | −0.104768 | − | 0.275349i | ||||
\(331\) | 31.9317 | 1.75513 | 0.877564 | − | 0.479460i | \(-0.159168\pi\) | ||||
0.877564 | + | 0.479460i | \(0.159168\pi\) | |||||||
\(332\) | −0.678868 | + | 0.678868i | −0.0372577 | + | 0.0372577i | ||||
\(333\) | 1.73125 | + | 1.67219i | 0.0948719 | + | 0.0916356i | ||||
\(334\) | 10.6644i | 0.583529i | ||||||||
\(335\) | 5.49802 | + | 14.8357i | 0.300389 | + | 0.810561i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 9.40161 | + | 9.40161i | 0.512139 | + | 0.512139i | 0.915181 | − | 0.403043i | \(-0.132047\pi\) |
−0.403043 | + | 0.915181i | \(0.632047\pi\) | |||||||
\(338\) | 6.38092 | + | 6.38092i | 0.347076 | + | 0.347076i | ||||
\(339\) | 13.0009 | + | 12.7772i | 0.706111 | + | 0.693964i | ||||
\(340\) | −0.266584 | − | 0.719344i | −0.0144576 | − | 0.0390119i | ||||
\(341\) | − | 4.23578i | − | 0.229380i | ||||||
\(342\) | 22.4233 | + | 21.6584i | 1.21251 | + | 1.17115i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 17.6300 | 0.950546 | ||||||||
\(345\) | −2.69229 | − | 7.07582i | −0.144948 | − | 0.380949i | ||||
\(346\) | 36.3781 | 1.95570 | ||||||||
\(347\) | 11.3727 | − | 11.3727i | 0.610520 | − | 0.610520i | −0.332561 | − | 0.943082i | \(-0.607913\pi\) |
0.943082 | + | 0.332561i | \(0.107913\pi\) | |||||||
\(348\) | −0.0116638 | − | 1.34448i | −0.000625245 | − | 0.0720715i | ||||
\(349\) | − | 9.21013i | − | 0.493007i | −0.969142 | − | 0.246503i | \(-0.920718\pi\) | ||
0.969142 | − | 0.246503i | \(-0.0792817\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 15.5809 | − | 16.4138i | 0.831649 | − | 0.876104i | ||||
\(352\) | 1.03492 | + | 1.03492i | 0.0551616 | + | 0.0551616i | ||||
\(353\) | 7.38772 | + | 7.38772i | 0.393209 | + | 0.393209i | 0.875829 | − | 0.482621i | \(-0.160315\pi\) |
−0.482621 | + | 0.875829i | \(0.660315\pi\) | |||||||
\(354\) | −18.1333 | + | 18.4506i | −0.963772 | + | 0.980641i | ||||
\(355\) | 0.520478 | − | 1.13339i | 0.0276241 | − | 0.0601542i | ||||
\(356\) | − | 3.22025i | − | 0.170673i | ||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 5.47124 | − | 5.47124i | 0.289164 | − | 0.289164i | ||||
\(359\) | −1.54177 | −0.0813713 | −0.0406857 | − | 0.999172i | \(-0.512954\pi\) | ||||
−0.0406857 | + | 0.999172i | \(0.512954\pi\) | |||||||
\(360\) | 6.32492 | + | 16.1988i | 0.333353 | + | 0.853752i | ||||
\(361\) | −28.2568 | −1.48720 | ||||||||
\(362\) | 1.89222 | − | 1.89222i | 0.0994530 | − | 0.0994530i | ||||
\(363\) | 17.6046 | − | 0.152726i | 0.924001 | − | 0.00801603i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 4.57021 | − | 1.69369i | 0.239216 | − | 0.0886517i | ||||
\(366\) | 1.95986 | − | 1.99416i | 0.102444 | − | 0.104237i | ||||
\(367\) | 11.3381 | + | 11.3381i | 0.591844 | + | 0.591844i | 0.938129 | − | 0.346285i | \(-0.112557\pi\) |
−0.346285 | + | 0.938129i | \(0.612557\pi\) | |||||||
\(368\) | 6.20469 | + | 6.20469i | 0.323442 | + | 0.323442i | ||||
\(369\) | 0.0480320 | + | 2.76809i | 0.00250045 | + | 0.144101i | ||||
\(370\) | 2.46454 | + | 1.13177i | 0.128125 | + | 0.0588379i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −0.0198512 | − | 2.28823i | −0.00102924 | − | 0.118639i | ||||
\(373\) | 19.8427 | − | 19.8427i | 1.02742 | − | 1.02742i | 0.0278035 | − | 0.999613i | \(-0.491149\pi\) |
0.999613 | − | 0.0278035i | \(-0.00885126\pi\) | |||||||
\(374\) | −1.66276 | −0.0859790 | ||||||||
\(375\) | −5.49999 | − | 18.5674i | −0.284018 | − | 0.958819i | ||||
\(376\) | −27.1705 | −1.40121 | ||||||||
\(377\) | 8.38493 | − | 8.38493i | 0.431846 | − | 0.431846i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 18.6208i | 0.956485i | 0.878228 | + | 0.478243i | \(0.158726\pi\) | ||||
−0.878228 | + | 0.478243i | \(0.841274\pi\) | |||||||
\(380\) | 3.98280 | + | 1.82899i | 0.204314 | + | 0.0938253i | ||||
\(381\) | −7.73742 | − | 7.60433i | −0.396400 | − | 0.389582i | ||||
\(382\) | 9.81158 | + | 9.81158i | 0.502004 | + | 0.502004i | ||||
\(383\) | 11.4679 | + | 11.4679i | 0.585984 | + | 0.585984i | 0.936541 | − | 0.350557i | \(-0.114008\pi\) |
−0.350557 | + | 0.936541i | \(0.614008\pi\) | |||||||
\(384\) | −16.2013 | − | 15.9226i | −0.826768 | − | 0.812546i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 10.7238i | − | 0.545828i | ||||||
\(387\) | −14.1743 | + | 14.6749i | −0.720522 | + | 0.745968i | ||||
\(388\) | −0.452781 | + | 0.452781i | −0.0229864 | + | 0.0229864i | ||||
\(389\) | −33.4890 | −1.69796 | −0.848980 | − | 0.528426i | \(-0.822783\pi\) | ||||
−0.848980 | + | 0.528426i | \(0.822783\pi\) | |||||||
\(390\) | 10.4400 | − | 23.2642i | 0.528650 | − | 1.17803i | ||||
\(391\) | −2.35215 | −0.118953 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0.127915 | + | 14.7447i | 0.00645246 | + | 0.743769i | ||||
\(394\) | − | 26.8376i | − | 1.35206i | ||||||
\(395\) | −2.82853 | + | 6.15939i | −0.142319 | + | 0.309913i | ||||
\(396\) | −0.781771 | + | 0.0135653i | −0.0392855 | + | 0.000681682i | ||||
\(397\) | 7.51668 | + | 7.51668i | 0.377251 | + | 0.377251i | 0.870110 | − | 0.492858i | \(-0.164048\pi\) |
−0.492858 | + | 0.870110i | \(0.664048\pi\) | |||||||
\(398\) | 18.4028 | + | 18.4028i | 0.922449 | + | 0.922449i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 14.6269 | + | 17.0241i | 0.731344 | + | 0.851204i | ||||
\(401\) | 38.4777i | 1.92148i | 0.277446 | + | 0.960741i | \(0.410512\pi\) | ||||
−0.277446 | + | 0.960741i | \(0.589488\pi\) | |||||||
\(402\) | 18.5254 | − | 0.160714i | 0.923961 | − | 0.00801569i | ||||
\(403\) | 14.2708 | − | 14.2708i | 0.710877 | − | 0.710877i | ||||
\(404\) | −1.32447 | −0.0658947 | ||||||||
\(405\) | −18.5688 | − | 7.75890i | −0.922690 | − | 0.385543i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0.518601 | − | 0.518601i | 0.0257061 | − | 0.0257061i | ||||
\(408\) | 5.40265 | − | 0.0468698i | 0.267471 | − | 0.00232040i | ||||
\(409\) | 0.968600i | 0.0478942i | 0.999713 | + | 0.0239471i | \(0.00762333\pi\) | ||||
−0.999713 | + | 0.0239471i | \(0.992377\pi\) | |||||||
\(410\) | 1.08397 | + | 2.92496i | 0.0535334 | + | 0.144453i | ||||
\(411\) | 12.5445 | − | 12.7640i | 0.618774 | − | 0.629604i | ||||
\(412\) | 2.12308 | + | 2.12308i | 0.104597 | + | 0.104597i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −8.86342 | + | 0.153798i | −0.435613 | + | 0.00755876i | ||||
\(415\) | 2.61647 | + | 7.06021i | 0.128437 | + | 0.346572i | ||||
\(416\) | 6.97351i | 0.341904i | ||||||||
\(417\) | −0.0456097 | − | 5.25739i | −0.00223352 | − | 0.257456i | ||||
\(418\) | 6.71695 | − | 6.71695i | 0.328537 | − | 0.328537i | ||||
\(419\) | 24.3482 | 1.18949 | 0.594743 | − | 0.803916i | \(-0.297254\pi\) | ||||
0.594743 | + | 0.803916i | \(0.297254\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.75923 | 0.0857395 | 0.0428698 | − | 0.999081i | \(-0.486350\pi\) | ||||
0.0428698 | + | 0.999081i | \(0.486350\pi\) | |||||||
\(422\) | 10.4255 | − | 10.4255i | 0.507505 | − | 0.507505i | ||||
\(423\) | 21.8448 | − | 22.6163i | 1.06213 | − | 1.09964i | ||||
\(424\) | 28.5914i | 1.38852i | ||||||||
\(425\) | −5.99931 | − | 0.454382i | −0.291009 | − | 0.0220407i | ||||
\(426\) | −1.04155 | − | 1.02364i | −0.0504634 | − | 0.0495954i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 1.27559 | + | 1.27559i | 0.0616581 | + | 0.0616581i | ||||
\(429\) | −4.91825 | − | 4.83364i | −0.237455 | − | 0.233371i | ||||
\(430\) | −9.59343 | + | 20.8906i | −0.462636 | + | 1.00744i | ||||
\(431\) | 21.4413i | 1.03279i | 0.856351 | + | 0.516395i | \(0.172726\pi\) | ||||
−0.856351 | + | 0.516395i | \(0.827274\pi\) | |||||||
\(432\) | 23.3173 | − | 0.606980i | 1.12186 | − | 0.0292033i | ||||
\(433\) | −26.8036 | + | 26.8036i | −1.28810 | + | 1.28810i | −0.352161 | + | 0.935940i | \(0.614553\pi\) |
−0.935940 | + | 0.352161i | \(0.885447\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −9.62034 | − | 4.31721i | −0.461260 | − | 0.206994i | ||||
\(436\) | 2.45745 | 0.117690 | ||||||||
\(437\) | 9.50185 | − | 9.50185i | 0.454535 | − | 0.454535i | ||||
\(438\) | −0.0495087 | − | 5.70682i | −0.00236562 | − | 0.272683i | ||||
\(439\) | − | 2.37243i | − | 0.113230i | −0.998396 | − | 0.0566149i | \(-0.981969\pi\) | ||
0.998396 | − | 0.0566149i | \(-0.0180307\pi\) | |||||||
\(440\) | 4.96855 | − | 1.84131i | 0.236866 | − | 0.0877810i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −5.60198 | − | 5.60198i | −0.266459 | − | 0.266459i | ||||
\(443\) | 15.3844 | + | 15.3844i | 0.730933 | + | 0.730933i | 0.970805 | − | 0.239871i | \(-0.0771053\pi\) |
−0.239871 | + | 0.970805i | \(0.577105\pi\) | |||||||
\(444\) | 0.277726 | − | 0.282587i | 0.0131803 | − | 0.0134110i | ||||
\(445\) | −22.9509 | − | 10.5396i | −1.08798 | − | 0.499624i | ||||
\(446\) | 19.6098i | 0.928552i | ||||||||
\(447\) | −22.3082 | + | 0.193531i | −1.05514 | + | 0.00915372i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −28.8886 | −1.36334 | −0.681669 | − | 0.731661i | \(-0.738746\pi\) | ||||
−0.681669 | + | 0.731661i | \(0.738746\pi\) | |||||||
\(450\) | −22.6365 | − | 1.31994i | −1.06709 | − | 0.0622225i | ||||
\(451\) | 0.843579 | 0.0397226 | ||||||||
\(452\) | 2.12178 | − | 2.12178i | 0.0998000 | − | 0.0998000i | ||||
\(453\) | 20.6085 | − | 0.178786i | 0.968272 | − | 0.00840010i | ||||
\(454\) | − | 36.3425i | − | 1.70564i | ||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −21.6355 | + | 22.0141i | −1.01317 | + | 1.03091i | ||||
\(457\) | −1.39005 | − | 1.39005i | −0.0650239 | − | 0.0650239i | 0.673847 | − | 0.738871i | \(-0.264641\pi\) |
−0.738871 | + | 0.673847i | \(0.764641\pi\) | |||||||
\(458\) | −3.48132 | − | 3.48132i | −0.162671 | − | 0.162671i | ||||
\(459\) | −4.30466 | + | 4.53476i | −0.200924 | + | 0.211664i | ||||
\(460\) | −1.16857 | + | 0.433064i | −0.0544848 | + | 0.0201917i | ||||
\(461\) | 17.4281i | 0.811709i | 0.913938 | + | 0.405854i | \(0.133026\pi\) | ||||
−0.913938 | + | 0.405854i | \(0.866974\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 14.8405 | − | 14.8405i | 0.689698 | − | 0.689698i | −0.272467 | − | 0.962165i | \(-0.587840\pi\) |
0.962165 | + | 0.272467i | \(0.0878395\pi\) | |||||||
\(464\) | 12.2216 | 0.567376 | ||||||||
\(465\) | −16.3734 | − | 7.34769i | −0.759296 | − | 0.340741i | ||||
\(466\) | −25.2127 | −1.16795 | ||||||||
\(467\) | −8.91392 | + | 8.91392i | −0.412487 | + | 0.412487i | −0.882604 | − | 0.470117i | \(-0.844212\pi\) |
0.470117 | + | 0.882604i | \(0.344212\pi\) | |||||||
\(468\) | −2.67956 | − | 2.58816i | −0.123863 | − | 0.119638i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 14.7849 | − | 32.1956i | 0.681978 | − | 1.48507i | ||||
\(471\) | −17.1864 | − | 16.8907i | −0.791906 | − | 0.778284i | ||||
\(472\) | −18.1113 | − | 18.1113i | −0.833642 | − | 0.833642i | ||||
\(473\) | 4.39591 | + | 4.39591i | 0.202124 | + | 0.202124i | ||||
\(474\) | 5.66030 | + | 5.56293i | 0.259986 | + | 0.255514i | ||||
\(475\) | 26.0707 | − | 22.3996i | 1.19620 | − | 1.02776i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −23.7990 | − | 22.9872i | −1.08968 | − | 1.05251i | ||||
\(478\) | −16.2286 | + | 16.2286i | −0.742278 | + | 0.742278i | ||||
\(479\) | −10.2879 | −0.470065 | −0.235032 | − | 0.971988i | \(-0.575520\pi\) | ||||
−0.235032 | + | 0.971988i | \(0.575520\pi\) | |||||||
\(480\) | 5.79573 | − | 2.20523i | 0.264538 | − | 0.100654i | ||||
\(481\) | 3.49443 | 0.159332 | ||||||||
\(482\) | −0.126948 | + | 0.126948i | −0.00578232 | + | 0.00578232i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | − | 2.89804i | − | 0.131729i | ||||||
\(485\) | 1.74509 | + | 4.70890i | 0.0792404 | + | 0.213820i | ||||
\(486\) | −15.9244 | + | 17.3694i | −0.722345 | + | 0.787894i | ||||
\(487\) | 13.1841 | + | 13.1841i | 0.597430 | + | 0.597430i | 0.939628 | − | 0.342198i | \(-0.111171\pi\) |
−0.342198 | + | 0.939628i | \(0.611171\pi\) | |||||||
\(488\) | 1.95749 | + | 1.95749i | 0.0886114 | + | 0.0886114i | ||||
\(489\) | −29.2517 | + | 29.7637i | −1.32281 | + | 1.34596i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 24.6940i | 1.11442i | 0.830370 | + | 0.557212i | \(0.188129\pi\) | ||||
−0.830370 | + | 0.557212i | \(0.811871\pi\) | |||||||
\(492\) | 0.455714 | − | 0.00395348i | 0.0205452 | − | 0.000178237i | ||||
\(493\) | −2.31656 | + | 2.31656i | −0.104333 | + | 0.104333i | ||||
\(494\) | 45.2601 | 2.03635 | ||||||||
\(495\) | −2.46198 | + | 5.61613i | −0.110658 | + | 0.252426i | ||||
\(496\) | 20.8007 | 0.933977 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 8.81609 | − | 0.0764827i | 0.395058 | − | 0.00342727i | ||||
\(499\) | 12.8777i | 0.576483i | 0.957558 | + | 0.288242i | \(0.0930707\pi\) | ||||
−0.957558 | + | 0.288242i | \(0.906929\pi\) | |||||||
\(500\) | −3.06417 | + | 0.878817i | −0.137034 | + | 0.0393019i | ||||
\(501\) | 8.56498 | − | 8.71489i | 0.382655 | − | 0.389352i | ||||
\(502\) | −17.9849 | − | 17.9849i | −0.802704 | − | 0.802704i | ||||
\(503\) | −2.81929 | − | 2.81929i | −0.125706 | − | 0.125706i | 0.641455 | − | 0.767161i | \(-0.278331\pi\) |
−0.767161 | + | 0.641455i | \(0.778331\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −4.33485 | + | 9.43955i | −0.192898 | + | 0.420055i | ||||
\(506\) | 2.70113i | 0.120080i | ||||||||
\(507\) | −0.0896964 | − | 10.3392i | −0.00398356 | − | 0.459181i | ||||
\(508\) | −1.26277 | + | 1.26277i | −0.0560263 | + | 0.0560263i | ||||
\(509\) | −40.5589 | −1.79774 | −0.898871 | − | 0.438213i | \(-0.855611\pi\) | ||||
−0.898871 | + | 0.438213i | \(0.855611\pi\) | |||||||
\(510\) | −2.88433 | + | 6.42736i | −0.127720 | + | 0.284608i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 11.3747 | − | 11.3747i | 0.502695 | − | 0.502695i | ||||
\(513\) | −0.929528 | − | 35.7081i | −0.0410397 | − | 1.57655i | ||||
\(514\) | − | 21.0378i | − | 0.927936i | ||||||
\(515\) | 22.0799 | − | 8.18268i | 0.972958 | − | 0.360572i | ||||
\(516\) | 2.39534 | + | 2.35414i | 0.105449 | + | 0.103635i | ||||
\(517\) | −6.77477 | − | 6.77477i | −0.297954 | − | 0.297954i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −29.7281 | − | 29.2167i | −1.30492 | − | 1.28247i | ||||
\(520\) | 22.9431 | + | 10.5360i | 1.00612 | + | 0.462032i | ||||
\(521\) | 15.8396i | 0.693945i | 0.937875 | + | 0.346973i | \(0.112790\pi\) | ||||
−0.937875 | + | 0.346973i | \(0.887210\pi\) | |||||||
\(522\) | −8.57786 | + | 8.88080i | −0.375443 | + | 0.388702i | ||||
\(523\) | 9.52401 | − | 9.52401i | 0.416456 | − | 0.416456i | −0.467524 | − | 0.883980i | \(-0.654854\pi\) |
0.883980 | + | 0.467524i | \(0.154854\pi\) | |||||||
\(524\) | 2.42724 | 0.106035 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −32.5151 | −1.41772 | ||||||||
\(527\) | −3.94268 | + | 3.94268i | −0.171746 | + | 0.171746i | ||||
\(528\) | −0.0616561 | − | 7.10704i | −0.00268324 | − | 0.309294i | ||||
\(529\) | − | 19.1790i | − | 0.833868i | ||||||
\(530\) | −33.8793 | − | 15.5581i | −1.47162 | − | 0.675802i | ||||
\(531\) | 29.6369 | − | 0.514259i | 1.28613 | − | 0.0223170i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 2.84210 | + | 2.84210i | 0.123105 | + | 0.123105i | ||||
\(534\) | −20.7284 | + | 21.0912i | −0.897007 | + | 0.912707i | ||||
\(535\) | 13.2661 | − | 4.91634i | 0.573545 | − | 0.212552i | ||||
\(536\) | 18.3424i | 0.792273i | ||||||||
\(537\) | −8.86525 | + | 0.0769091i | −0.382564 | + | 0.00331887i | ||||
\(538\) | −20.1835 | + | 20.1835i | −0.870171 | + | 0.870171i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −1.30368 | + | 3.04546i | −0.0561014 | + | 0.131056i | ||||
\(541\) | −31.9532 | −1.37377 | −0.686887 | − | 0.726764i | \(-0.741023\pi\) | ||||
−0.686887 | + | 0.726764i | \(0.741023\pi\) | |||||||
\(542\) | 3.96759 | − | 3.96759i | 0.170422 | − | 0.170422i | ||||
\(543\) | −3.06604 | + | 0.0265989i | −0.131576 | + | 0.00114147i | ||||
\(544\) | − | 1.92662i | − | 0.0826031i | ||||||
\(545\) | 8.04299 | − | 17.5144i | 0.344524 | − | 0.750234i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 24.7307 | + | 24.7307i | 1.05741 | + | 1.05741i | 0.998249 | + | 0.0591593i | \(0.0188420\pi\) |
0.0591593 | + | 0.998249i | \(0.481158\pi\) | |||||||
\(548\) | −2.08313 | − | 2.08313i | −0.0889868 | − | 0.0889868i | ||||
\(549\) | −3.20318 | + | 0.0555816i | −0.136708 | + | 0.00237217i | ||||
\(550\) | −0.521797 | + | 6.88942i | −0.0222495 | + | 0.293766i | ||||
\(551\) | − | 18.7162i | − | 0.797338i | ||||||
\(552\) | −0.0761397 | − | 8.77655i | −0.00324072 | − | 0.373555i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −11.4306 | −0.485640 | ||||||||
\(555\) | −1.10504 | − | 2.90425i | −0.0469064 | − | 0.123278i | ||||
\(556\) | −0.865465 | −0.0367039 | ||||||||
\(557\) | 2.73832 | − | 2.73832i | 0.116026 | − | 0.116026i | −0.646710 | − | 0.762736i | \(-0.723856\pi\) |
0.762736 | + | 0.646710i | \(0.223856\pi\) | |||||||
\(558\) | −14.5991 | + | 15.1147i | −0.618029 | + | 0.639856i | ||||
\(559\) | 29.6205i | 1.25281i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.35880 | + | 1.33542i | 0.0573685 | + | 0.0563817i | ||||
\(562\) | 12.8852 | + | 12.8852i | 0.543531 | + | 0.543531i | ||||
\(563\) | −25.8490 | − | 25.8490i | −1.08941 | − | 1.08941i | −0.995589 | − | 0.0938172i | \(-0.970093\pi\) |
−0.0938172 | − | 0.995589i | \(-0.529907\pi\) | |||||||
\(564\) | −3.69158 | − | 3.62808i | −0.155444 | − | 0.152770i | ||||
\(565\) | −8.17767 | − | 22.0664i | −0.344037 | − | 0.928341i | ||||
\(566\) | − | 36.3002i | − | 1.52581i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.02240 | − | 1.02240i | 0.0428989 | − | 0.0428989i | ||||
\(569\) | 16.2393 | 0.680787 | 0.340393 | − | 0.940283i | \(-0.389440\pi\) | ||||
0.340393 | + | 0.940283i | \(0.389440\pi\) | |||||||
\(570\) | −14.3126 | − | 37.6160i | −0.599488 | − | 1.57556i | ||||
\(571\) | 40.2805 | 1.68569 | 0.842843 | − | 0.538159i | \(-0.180880\pi\) | ||||
0.842843 | + | 0.538159i | \(0.180880\pi\) | |||||||
\(572\) | −0.802671 | + | 0.802671i | −0.0335614 | + | 0.0335614i | ||||
\(573\) | −0.137921 | − | 15.8980i | −0.00576174 | − | 0.664151i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.738139 | + | 9.74583i | −0.0307825 | + | 0.406429i | ||||
\(576\) | 0.341308 | + | 19.6697i | 0.0142212 | + | 0.819570i | ||||
\(577\) | 12.2206 | + | 12.2206i | 0.508750 | + | 0.508750i | 0.914143 | − | 0.405393i | \(-0.132865\pi\) |
−0.405393 | + | 0.914143i | \(0.632865\pi\) | |||||||
\(578\) | −16.6237 | − | 16.6237i | −0.691454 | − | 0.691454i | ||||
\(579\) | −8.61273 | + | 8.76347i | −0.357933 | + | 0.364197i | ||||
\(580\) | −0.724378 | + | 1.57740i | −0.0300781 | + | 0.0654980i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 5.88001 | − | 0.0510111i | 0.243734 | − | 0.00211448i | ||||
\(583\) | −7.12906 | + | 7.12906i | −0.295256 | + | 0.295256i | ||||
\(584\) | 5.65047 | 0.233818 | ||||||||
\(585\) | −27.2159 | + | 10.6266i | −1.12524 | + | 0.439357i | ||||
\(586\) | 26.1878 | 1.08181 | ||||||||
\(587\) | −0.596922 | + | 0.596922i | −0.0246376 | + | 0.0246376i | −0.719318 | − | 0.694681i | \(-0.755546\pi\) |
0.694681 | + | 0.719318i | \(0.255546\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 31.8541i | − | 1.31253i | ||||||
\(590\) | 31.3163 | − | 11.6056i | 1.28927 | − | 0.477796i | ||||
\(591\) | −21.5543 | + | 21.9316i | −0.886627 | + | 0.902145i | ||||
\(592\) | 2.54669 | + | 2.54669i | 0.104668 | + | 0.104668i | ||||
\(593\) | −6.63562 | − | 6.63562i | −0.272492 | − | 0.272492i | 0.557610 | − | 0.830103i | \(-0.311718\pi\) |
−0.830103 | + | 0.557610i | \(0.811718\pi\) | |||||||
\(594\) | 5.20757 | + | 4.94333i | 0.213669 | + | 0.202827i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 3.67234i | 0.150425i | ||||||||
\(597\) | −0.258688 | − | 29.8187i | −0.0105874 | − | 1.22040i | ||||
\(598\) | −9.10037 | + | 9.10037i | −0.372142 | + | 0.372142i | ||||
\(599\) | 6.28684 | 0.256873 | 0.128437 | − | 0.991718i | \(-0.459004\pi\) | ||||
0.128437 | + | 0.991718i | \(0.459004\pi\) | |||||||
\(600\) | 1.50123 | − | 22.3999i | 0.0612875 | − | 0.914472i | ||||
\(601\) | 9.39584 | 0.383264 | 0.191632 | − | 0.981467i | \(-0.438622\pi\) | ||||
0.191632 | + | 0.981467i | \(0.438622\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −15.2679 | − | 14.7471i | −0.621759 | − | 0.600549i | ||||
\(604\) | − | 3.39254i | − | 0.138041i | ||||||
\(605\) | −20.6545 | − | 9.48501i | −0.839726 | − | 0.385620i | ||||
\(606\) | 8.67467 | + | 8.52545i | 0.352384 | + | 0.346323i | ||||
\(607\) | 10.0128 | + | 10.0128i | 0.406408 | + | 0.406408i | 0.880484 | − | 0.474076i | \(-0.157218\pi\) |
−0.474076 | + | 0.880484i | \(0.657218\pi\) | |||||||
\(608\) | 7.78287 | + | 7.78287i | 0.315637 | + | 0.315637i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −3.38470 | + | 1.25435i | −0.137042 | + | 0.0507870i | ||||
\(611\) | − | 45.6497i | − | 1.84679i | ||||||
\(612\) | 0.740302 | + | 0.715048i | 0.0299249 | + | 0.0289041i | ||||
\(613\) | −3.06941 | + | 3.06941i | −0.123972 | + | 0.123972i | −0.766371 | − | 0.642399i | \(-0.777939\pi\) |
0.642399 | + | 0.766371i | \(0.277939\pi\) | |||||||
\(614\) | 26.7286 | 1.07868 | ||||||||
\(615\) | 1.46333 | − | 3.26084i | 0.0590072 | − | 0.131490i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −3.80377 | + | 3.80377i | −0.153134 | + | 0.153134i | −0.779516 | − | 0.626382i | \(-0.784535\pi\) |
0.626382 | + | 0.779516i | \(0.284535\pi\) | |||||||
\(618\) | −0.239190 | − | 27.5712i | −0.00962164 | − | 1.10908i | ||||
\(619\) | 21.8072i | 0.876505i | 0.898852 | + | 0.438252i | \(0.144402\pi\) | ||||
−0.898852 | + | 0.438252i | \(0.855598\pi\) | |||||||
\(620\) | −1.23286 | + | 2.68466i | −0.0495127 | + | 0.107819i | ||||
\(621\) | 7.36667 | + | 6.99288i | 0.295614 | + | 0.280614i | ||||
\(622\) | −25.0547 | − | 25.0547i | −1.00460 | − | 1.00460i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 23.7366 | − | 24.1520i | 0.950224 | − | 0.966855i | ||||
\(625\) | −3.76535 | + | 24.7148i | −0.150614 | + | 0.988593i | ||||
\(626\) | − | 16.0239i | − | 0.640443i | ||||||
\(627\) | −10.8837 | + | 0.0944200i | −0.434654 | + | 0.00377077i | ||||
\(628\) | −2.80486 | + | 2.80486i | −0.111926 | + | 0.111926i | ||||
\(629\) | −0.965431 | −0.0384943 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.91815 | 0.355026 | 0.177513 | − | 0.984118i | \(-0.443195\pi\) | ||||
0.177513 | + | 0.984118i | \(0.443195\pi\) | |||||||
\(632\) | −5.55620 | + | 5.55620i | −0.221014 | + | 0.221014i | ||||
\(633\) | −16.8928 | + | 0.146551i | −0.671429 | + | 0.00582488i | ||||
\(634\) | 31.0537i | 1.23330i | ||||||||
\(635\) | 4.86691 | + | 13.1327i | 0.193137 | + | 0.521157i | ||||
\(636\) | −3.81782 | + | 3.88464i | −0.151386 | + | 0.154036i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 2.66027 | + | 2.66027i | 0.105321 | + | 0.105321i | ||||
\(639\) | 0.0290303 | + | 1.67302i | 0.00114842 | + | 0.0661838i | ||||
\(640\) | 10.1908 | + | 27.4985i | 0.402825 | + | 1.08697i | ||||
\(641\) | − | 39.0775i | − | 1.54347i | −0.635944 | − | 0.771735i | \(-0.719389\pi\) | ||
0.635944 | − | 0.771735i | \(-0.280611\pi\) | |||||||
\(642\) | −0.143711 | − | 16.5654i | −0.00567182 | − | 0.653785i | ||||
\(643\) | 10.9666 | − | 10.9666i | 0.432481 | − | 0.432481i | −0.456991 | − | 0.889471i | \(-0.651073\pi\) |
0.889471 | + | 0.456991i | \(0.151073\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 24.6178 | − | 9.36688i | 0.969325 | − | 0.368821i | ||||
\(646\) | −12.5043 | −0.491976 | ||||||||
\(647\) | −10.2096 | + | 10.2096i | −0.401380 | + | 0.401380i | −0.878719 | − | 0.477339i | \(-0.841601\pi\) |
0.477339 | + | 0.878719i | \(0.341601\pi\) | |||||||
\(648\) | −17.0599 | − | 15.9151i | −0.670174 | − | 0.625206i | ||||
\(649\) | − | 9.03186i | − | 0.354532i | ||||||
\(650\) | −24.9691 | + | 21.4531i | −0.979369 | + | 0.841461i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 4.85751 | + | 4.85751i | 0.190235 | + | 0.190235i | ||||
\(653\) | −12.3763 | − | 12.3763i | −0.484323 | − | 0.484323i | 0.422186 | − | 0.906509i | \(-0.361263\pi\) |
−0.906509 | + | 0.422186i | \(0.861263\pi\) | |||||||
\(654\) | −16.0952 | − | 15.8183i | −0.629372 | − | 0.618546i | ||||
\(655\) | 7.94413 | − | 17.2991i | 0.310403 | − | 0.675932i | ||||
\(656\) | 4.14256i | 0.161740i | ||||||||
\(657\) | −4.54292 | + | 4.70336i | −0.177236 | + | 0.183496i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −7.49888 | −0.292115 | −0.146057 | − | 0.989276i | \(-0.546658\pi\) | ||||
−0.146057 | + | 0.989276i | \(0.546658\pi\) | |||||||
\(660\) | 0.920934 | + | 0.413277i | 0.0358473 | + | 0.0160868i | ||||
\(661\) | −25.7103 | −1.00002 | −0.500008 | − | 0.866021i | \(-0.666669\pi\) | ||||
−0.500008 | + | 0.866021i | \(0.666669\pi\) | |||||||
\(662\) | −34.1320 | + | 34.1320i | −1.32658 | + | 1.32658i | ||||
\(663\) | 0.0787469 | + | 9.07709i | 0.00305828 | + | 0.352525i | ||||
\(664\) | 8.72904i | 0.338752i | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −3.63796 | + | 0.0631259i | −0.140968 | + | 0.00244608i | ||||
\(667\) | 3.76324 | + | 3.76324i | 0.145713 | + | 0.145713i | ||||
\(668\) | −1.42229 | − | 1.42229i | −0.0550302 | − | 0.0550302i | ||||
\(669\) | 15.7494 | − | 16.0251i | 0.608908 | − | 0.619566i | ||||
\(670\) | −21.7348 | − | 9.98111i | −0.839689 | − | 0.385604i | ||||
\(671\) | 0.976172i | 0.0376847i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 9.04384 | − | 9.04384i | 0.348614 | − | 0.348614i | −0.510979 | − | 0.859593i | \(-0.670717\pi\) |
0.859593 | + | 0.510979i | \(0.170717\pi\) | |||||||
\(674\) | −20.0989 | −0.774179 | ||||||||
\(675\) | 17.4383 | + | 19.2589i | 0.671202 | + | 0.741275i | ||||
\(676\) | −1.70203 | −0.0654627 | ||||||||
\(677\) | 24.1492 | − | 24.1492i | 0.928131 | − | 0.928131i | −0.0694543 | − | 0.997585i | \(-0.522126\pi\) |
0.997585 | + | 0.0694543i | \(0.0221258\pi\) | |||||||
\(678\) | −27.5544 | + | 0.239044i | −1.05822 | + | 0.00918042i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −6.33864 | − | 2.91084i | −0.243076 | − | 0.111626i | ||||
\(681\) | −29.1881 | + | 29.6990i | −1.11849 | + | 1.13807i | ||||
\(682\) | 4.52765 | + | 4.52765i | 0.173373 | + | 0.173373i | ||||
\(683\) | 16.8972 | + | 16.8972i | 0.646552 | + | 0.646552i | 0.952158 | − | 0.305606i | \(-0.0988590\pi\) |
−0.305606 | + | 0.952158i | \(0.598859\pi\) | |||||||
\(684\) | −5.87911 | + | 0.102014i | −0.224793 | + | 0.00390061i | ||||
\(685\) | −21.6644 | + | 8.02870i | −0.827756 | + | 0.306761i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0.0489368 | + | 5.64091i | 0.00186706 | + | 0.215214i | ||||
\(688\) | −21.5870 | + | 21.5870i | −0.822997 | + | 0.822997i | ||||
\(689\) | −48.0370 | −1.83006 | ||||||||
\(690\) | 10.4412 | + | 4.68557i | 0.397489 | + | 0.178377i | ||||
\(691\) | 20.1951 | 0.768259 | 0.384129 | − | 0.923279i | \(-0.374502\pi\) | ||||
0.384129 | + | 0.923279i | \(0.374502\pi\) | |||||||
\(692\) | −4.85170 | + | 4.85170i | −0.184434 | + | 0.184434i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 24.3128i | 0.922899i | ||||||||
\(695\) | −2.83258 | + | 6.16822i | −0.107446 | + | 0.233974i | ||||
\(696\) | −8.71877 | − | 8.56879i | −0.330484 | − | 0.324799i | ||||
\(697\) | −0.785206 | − | 0.785206i | −0.0297418 | − | 0.0297418i | ||||
\(698\) | 9.84475 | + | 9.84475i | 0.372629 | + | 0.372629i | ||||
\(699\) | 20.6037 | + | 20.2493i | 0.779304 | + | 0.765899i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 49.4540i | 1.86785i | 0.357467 | + | 0.933926i | \(0.383640\pi\) | ||||
−0.357467 | + | 0.933926i | \(0.616360\pi\) | |||||||
\(702\) | 0.890253 | + | 34.1994i | 0.0336004 | + | 1.29077i | ||||
\(703\) | 3.90000 | − | 3.90000i | 0.147091 | − | 0.147091i | ||||
\(704\) | 5.99435 | 0.225920 | ||||||||
\(705\) | −37.9398 | + | 14.4358i | −1.42889 | + | 0.543683i | ||||
\(706\) | −15.7936 | −0.594398 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −0.0423283 | − | 4.87915i | −0.00159080 | − | 0.183370i | ||||
\(709\) | − | 39.2209i | − | 1.47297i | −0.676453 | − | 0.736486i | \(-0.736484\pi\) | ||
0.676453 | − | 0.736486i | \(-0.263516\pi\) | |||||||
\(710\) | 0.655146 | + | 1.76783i | 0.0245872 | + | 0.0663455i | ||||
\(711\) | −0.157765 | − | 9.09202i | −0.00591664 | − | 0.340977i | ||||
\(712\) | −20.7034 | − | 20.7034i | −0.775891 | − | 0.775891i | ||||
\(713\) | 6.40485 | + | 6.40485i | 0.239864 | + | 0.239864i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.09362 | + | 8.34775i | 0.115695 | + | 0.312188i | ||||
\(716\) | 1.45938i | 0.0545397i | ||||||||
\(717\) | 26.2958 | − | 0.228125i | 0.982033 | − | 0.00851948i | ||||
\(718\) | 1.64800 | − | 1.64800i | 0.0615029 | − | 0.0615029i | ||||
\(719\) | −1.93192 | −0.0720484 | −0.0360242 | − | 0.999351i | \(-0.511469\pi\) | ||||
−0.0360242 | + | 0.999351i | \(0.511469\pi\) | |||||||
\(720\) | −27.5791 | − | 12.0900i | −1.02781 | − | 0.450569i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 30.2039 | − | 30.2039i | 1.12407 | − | 1.12407i | ||||
\(723\) | 0.205698 | − | 0.00178450i | 0.00765000 | − | 6.63664e-5i | ||||
\(724\) | 0.504726i | 0.0187580i | ||||||||
\(725\) | 8.87142 | + | 10.3254i | 0.329476 | + | 0.383475i | ||||
\(726\) | −18.6544 | + | 18.9809i | −0.692329 | + | 0.704447i | ||||
\(727\) | 15.8726 | + | 15.8726i | 0.588684 | + | 0.588684i | 0.937275 | − | 0.348591i | \(-0.113340\pi\) |
−0.348591 | + | 0.937275i | \(0.613340\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 26.9634 | − | 1.40474i | 0.998646 | − | 0.0520273i | ||||
\(730\) | −3.07473 | + | 6.69551i | −0.113801 | + | 0.247812i | ||||
\(731\) | − | 8.18346i | − | 0.302676i | ||||||
\(732\) | 0.00457488 | + | 0.527343i | 0.000169093 | + | 0.0194912i | ||||
\(733\) | −30.7539 | + | 30.7539i | −1.13592 | + | 1.13592i | −0.146746 | + | 0.989174i | \(0.546880\pi\) |
−0.989174 | + | 0.146746i | \(0.953120\pi\) | |||||||
\(734\) | −24.2387 | −0.894668 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.12978 | −0.115365 | ||||||||
\(737\) | −4.57356 | + | 4.57356i | −0.168469 | + | 0.168469i | ||||
\(738\) | −3.01017 | − | 2.90749i | −0.110806 | − | 0.107026i | ||||
\(739\) | − | 27.0647i | − | 0.995592i | −0.867294 | − | 0.497796i | \(-0.834143\pi\) | ||
0.867294 | − | 0.497796i | \(-0.165857\pi\) | |||||||
\(740\) | −0.479635 | + | 0.177749i | −0.0176317 | + | 0.00653420i | ||||
\(741\) | −36.9864 | − | 36.3502i | −1.35873 | − | 1.33536i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 2.20467 | + | 2.20467i | 0.0808816 | + | 0.0808816i | 0.746390 | − | 0.665509i | \(-0.231785\pi\) |
−0.665509 | + | 0.746390i | \(0.731785\pi\) | |||||||
\(744\) | −14.8389 | − | 14.5837i | −0.544021 | − | 0.534663i | ||||
\(745\) | 26.1730 | + | 12.0192i | 0.958905 | + | 0.440350i | ||||
\(746\) | 42.4200i | 1.55311i | ||||||||
\(747\) | −7.26590 | − | 7.01805i | −0.265846 | − | 0.256777i | ||||
\(748\) | 0.221760 | − | 0.221760i | 0.00810833 | − | 0.00810833i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 25.7258 | + | 13.9679i | 0.939374 | + | 0.510035i | ||||
\(751\) | 23.9281 | 0.873148 | 0.436574 | − | 0.899668i | \(-0.356192\pi\) | ||||
0.436574 | + | 0.899668i | \(0.356192\pi\) | |||||||
\(752\) | 33.2689 | − | 33.2689i | 1.21319 | − | 1.21319i | ||||
\(753\) | 0.252813 | + | 29.1415i | 0.00921302 | + | 1.06198i | ||||
\(754\) | 17.9254i | 0.652804i | ||||||||
\(755\) | −24.1789 | − | 11.1035i | −0.879959 | − | 0.404096i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 34.0440 | + | 34.0440i | 1.23735 | + | 1.23735i | 0.961081 | + | 0.276268i | \(0.0890977\pi\) |
0.276268 | + | 0.961081i | \(0.410902\pi\) | |||||||
\(758\) | −19.9038 | − | 19.9038i | −0.722940 | − | 0.722940i | ||||
\(759\) | 2.16939 | − | 2.20736i | 0.0787437 | − | 0.0801219i | ||||
\(760\) | 37.3647 | − | 13.8471i | 1.35536 | − | 0.502287i | ||||
\(761\) | 6.63770i | 0.240616i | 0.992737 | + | 0.120308i | \(0.0383883\pi\) | ||||
−0.992737 | + | 0.120308i | \(0.961612\pi\) | |||||||
\(762\) | 16.3989 | − | 0.142266i | 0.594069 | − | 0.00515375i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −2.61711 | −0.0946838 | ||||||||
\(765\) | 7.51913 | − | 2.93589i | 0.271855 | − | 0.106147i | ||||
\(766\) | −24.5163 | −0.885809 | ||||||||
\(767\) | 30.4292 | − | 30.4292i | 1.09873 | − | 1.09873i | ||||
\(768\) | 11.6222 | − | 0.100827i | 0.419381 | − | 0.00363828i | ||||
\(769\) | − | 22.0730i | − | 0.795972i | −0.917391 | − | 0.397986i | \(-0.869709\pi\) | ||
0.917391 | − | 0.397986i | \(-0.130291\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −16.8963 | + | 17.1920i | −0.608504 | + | 0.619155i | ||||
\(772\) | 1.43022 | + | 1.43022i | 0.0514748 | + | 0.0514748i | ||||
\(773\) | 23.1387 | + | 23.1387i | 0.832240 | + | 0.832240i | 0.987823 | − | 0.155583i | \(-0.0497256\pi\) |
−0.155583 | + | 0.987823i | \(0.549726\pi\) | |||||||
\(774\) | −0.535086 | − | 30.8371i | −0.0192333 | − | 1.10842i | ||||
\(775\) | 15.0987 | + | 17.5733i | 0.542363 | + | 0.631251i | ||||
\(776\) | 5.82195i | 0.208996i | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 35.7966 | − | 35.7966i | 1.28337 | − | 1.28337i | ||||
\(779\) | 6.34391 | 0.227294 | ||||||||
\(780\) | 1.71034 | + | 4.49508i | 0.0612401 | + | 0.160950i | ||||
\(781\) | 0.509855 | 0.0182441 | ||||||||
\(782\) | 2.51422 | − | 2.51422i | 0.0899084 | − | 0.0899084i | ||||
\(783\) | 14.1423 | − | 0.368142i | 0.505405 | − | 0.0131563i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 10.8104 | + | 29.1705i | 0.385839 | + | 1.04114i | ||||
\(786\) | −15.8974 | − | 15.6239i | −0.567040 | − | 0.557286i | ||||
\(787\) | −8.67333 | − | 8.67333i | −0.309171 | − | 0.309171i | 0.535417 | − | 0.844588i | \(-0.320154\pi\) |
−0.844588 | + | 0.535417i | \(0.820154\pi\) | |||||||
\(788\) | 3.57930 | + | 3.57930i | 0.127507 | + | 0.127507i | ||||
\(789\) | 26.5712 | + | 26.1141i | 0.945960 | + | 0.929688i | ||||
\(790\) | −3.56038 | − | 9.60724i | −0.126673 | − | 0.341810i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −4.93888 | + | 5.11330i | −0.175495 | + | 0.181693i | ||||
\(793\) | −3.28882 | + | 3.28882i | −0.116789 | + | 0.116789i | ||||
\(794\) | −16.0692 | −0.570276 | ||||||||
\(795\) | 15.1907 | + | 39.9239i | 0.538759 | + | 1.41595i | ||||
\(796\) | −4.90871 | −0.173985 | ||||||||
\(797\) | 27.2098 | − | 27.2098i | 0.963820 | − | 0.963820i | −0.0355479 | − | 0.999368i | \(-0.511318\pi\) |
0.999368 | + | 0.0355479i | \(0.0113176\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 12.6120i | 0.446179i | ||||||||
\(800\) | −7.98271 | − | 0.604602i | −0.282231 | − | 0.0213759i | ||||
\(801\) | 33.8784 | − | 0.587858i | 1.19703 | − | 0.0207709i | ||||
\(802\) | −41.1290 | − | 41.1290i | −1.45231 | − | 1.45231i | ||||
\(803\) | 1.40890 | + | 1.40890i | 0.0497192 | + | 0.0497192i | ||||
\(804\) | −2.44927 | + | 2.49214i | −0.0863791 | + | 0.0878909i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 30.5082i | 1.07460i | ||||||||
\(807\) | 32.7040 | − | 0.283719i | 1.15124 | − | 0.00998737i | ||||
\(808\) | −8.51513 | + | 8.51513i | −0.299561 | + | 0.299561i | ||||
\(809\) | −38.3573 | −1.34857 | −0.674285 | − | 0.738471i | \(-0.735548\pi\) | ||||
−0.674285 | + | 0.738471i | \(0.735548\pi\) | |||||||
\(810\) | 28.1418 | − | 11.5547i | 0.988802 | − | 0.405992i | ||||
\(811\) | 3.87781 | 0.136168 | 0.0680841 | − | 0.997680i | \(-0.478311\pi\) | ||||
0.0680841 | + | 0.997680i | \(0.478311\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −6.42883 | + | 0.0557723i | −0.225469 | + | 0.00195602i | ||||
\(814\) | 1.10867i | 0.0388589i | ||||||||
\(815\) | 50.5179 | − | 18.7216i | 1.76957 | − | 0.655789i | ||||
\(816\) | −6.55787 | + | 6.67265i | −0.229571 | + | 0.233589i | ||||
\(817\) | 33.0583 | + | 33.0583i | 1.15656 | + | 1.15656i | ||||
\(818\) | −1.03534 | − | 1.03534i | −0.0361999 | − | 0.0361999i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.534665 | − | 0.245530i | −0.0186713 | − | 0.00857427i | ||||
\(821\) | 8.04772i | 0.280867i | 0.990090 | + | 0.140434i | \(0.0448497\pi\) | ||||
−0.990090 | + | 0.140434i | \(0.955150\pi\) | |||||||
\(822\) | 0.234689 | + | 27.0524i | 0.00818573 | + | 0.943562i | ||||
\(823\) | 1.27909 | − | 1.27909i | 0.0445862 | − | 0.0445862i | −0.684462 | − | 0.729048i | \(-0.739963\pi\) |
0.729048 | + | 0.684462i | \(0.239963\pi\) | |||||||
\(824\) | 27.2990 | 0.951005 | ||||||||
\(825\) | 5.95958 | − | 5.21094i | 0.207486 | − | 0.181421i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 27.7405 | − | 27.7405i | 0.964633 | − | 0.964633i | −0.0347627 | − | 0.999396i | \(-0.511068\pi\) |
0.999396 | + | 0.0347627i | \(0.0110676\pi\) | |||||||
\(828\) | 1.16159 | − | 1.20261i | 0.0403680 | − | 0.0417937i | ||||
\(829\) | 9.32952i | 0.324028i | 0.986788 | + | 0.162014i | \(0.0517989\pi\) | ||||
−0.986788 | + | 0.162014i | \(0.948201\pi\) | |||||||
\(830\) | −10.3434 | − | 4.74994i | −0.359026 | − | 0.164873i | ||||
\(831\) | 9.34105 | + | 9.18037i | 0.324037 | + | 0.318464i | ||||
\(832\) | 20.1955 | + | 20.1955i | 0.700154 | + | 0.700154i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 5.66841 | + | 5.57090i | 0.196281 | + | 0.192905i | ||||
\(835\) | −14.7918 | + | 5.48174i | −0.511891 | + | 0.189704i | ||||
\(836\) | 1.79166i | 0.0619659i | ||||||||
\(837\) | 24.0695 | − | 0.626561i | 0.831965 | − | 0.0216571i | ||||
\(838\) | −26.0259 | + | 26.0259i | −0.899050 | + | 0.899050i | ||||
\(839\) | −3.18996 | −0.110130 | −0.0550649 | − | 0.998483i | \(-0.517537\pi\) | ||||
−0.0550649 | + | 0.998483i | \(0.517537\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −21.5874 | −0.744393 | ||||||||
\(842\) | −1.88045 | + | 1.88045i | −0.0648045 | + | 0.0648045i | ||||
\(843\) | −0.181127 | − | 20.8784i | −0.00623836 | − | 0.719090i | ||||
\(844\) | 2.78087i | 0.0957215i | ||||||||
\(845\) | −5.57058 | + | 12.1305i | −0.191634 | + | 0.417301i | ||||
\(846\) | 0.824648 | + | 47.5247i | 0.0283520 | + | 1.63393i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −35.0087 | − | 35.0087i | −1.20220 | − | 1.20220i | ||||
\(849\) | −29.1541 | + | 29.6644i | −1.00057 | + | 1.01808i | ||||
\(850\) | 6.89839 | − | 5.92701i | 0.236613 | − | 0.203295i | ||||
\(851\) | 1.56833i | 0.0537618i | ||||||||
\(852\) | 0.275432 | − | 0.00238946i | 0.00943613 | − | 8.18617e-5i | ||||
\(853\) | −5.14974 | + | 5.14974i | −0.176324 | + | 0.176324i | −0.789751 | − | 0.613427i | \(-0.789790\pi\) |
0.613427 | + | 0.789751i | \(0.289790\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −18.5147 | + | 42.2346i | −0.633189 | + | 1.44439i | ||||
\(856\) | 16.4019 | 0.560604 | ||||||||
\(857\) | −8.17961 | + | 8.17961i | −0.279410 | + | 0.279410i | −0.832873 | − | 0.553463i | \(-0.813306\pi\) |
0.553463 | + | 0.832873i | \(0.313306\pi\) | |||||||
\(858\) | 10.4238 | − | 0.0904305i | 0.355864 | − | 0.00308725i | ||||
\(859\) | − | 27.8219i | − | 0.949270i | −0.880183 | − | 0.474635i | \(-0.842580\pi\) | ||
0.880183 | − | 0.474635i | \(-0.157420\pi\) | |||||||
\(860\) | −1.50669 | − | 4.06562i | −0.0513778 | − | 0.138636i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −22.9187 | − | 22.9187i | −0.780613 | − | 0.780613i | ||||
\(863\) | −5.52270 | − | 5.52270i | −0.187995 | − | 0.187995i | 0.606834 | − | 0.794829i | \(-0.292439\pi\) |
−0.794829 | + | 0.606834i | \(0.792439\pi\) | |||||||
\(864\) | −5.72779 | + | 6.03397i | −0.194863 | + | 0.205280i | ||||
\(865\) | 18.6992 | + | 50.4575i | 0.635793 | + | 1.71561i | ||||
\(866\) | − | 57.3011i | − | 1.94717i | ||||||
\(867\) | 0.233679 | + | 26.9360i | 0.00793615 | + | 0.914793i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −2.77080 | −0.0939929 | ||||||||
\(870\) | 14.8979 | − | 5.66854i | 0.505087 | − | 0.192182i | ||||
\(871\) | −30.8175 | −1.04421 | ||||||||
\(872\) | 15.7992 | − | 15.7992i | 0.535028 | − | 0.535028i | ||||
\(873\) | −4.84609 | − | 4.68078i | −0.164015 | − | 0.158421i | ||||
\(874\) | 20.3132i | 0.687103i | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0.767715 | + | 0.754509i | 0.0259387 | + | 0.0254925i | ||||
\(877\) | −11.0212 | − | 11.0212i | −0.372160 | − | 0.372160i | 0.496103 | − | 0.868263i | \(-0.334764\pi\) |
−0.868263 | + | 0.496103i | \(0.834764\pi\) | |||||||
\(878\) | 2.53590 | + | 2.53590i | 0.0855825 | + | 0.0855825i | ||||
\(879\) | −21.4006 | − | 21.0325i | −0.721825 | − | 0.709408i | ||||
\(880\) | −3.82914 | + | 8.33831i | −0.129080 | + | 0.281085i | ||||
\(881\) | − | 8.59639i | − | 0.289620i | −0.989459 | − | 0.144810i | \(-0.953743\pi\) | ||
0.989459 | − | 0.144810i | \(-0.0462571\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −31.4000 | + | 31.4000i | −1.05670 | + | 1.05670i | −0.0584026 | + | 0.998293i | \(0.518601\pi\) |
−0.998293 | + | 0.0584026i | \(0.981399\pi\) | |||||||
\(884\) | 1.49426 | 0.0502573 | ||||||||
\(885\) | −34.9125 | − | 15.6673i | −1.17357 | − | 0.526651i | ||||
\(886\) | −32.8889 | −1.10492 | ||||||||
\(887\) | 1.41909 | − | 1.41909i | 0.0476485 | − | 0.0476485i | −0.682881 | − | 0.730530i | \(-0.739273\pi\) |
0.730530 | + | 0.682881i | \(0.239273\pi\) | |||||||
\(888\) | −0.0312513 | − | 3.60231i | −0.00104872 | − | 0.120885i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 35.7982 | − | 13.2666i | 1.19996 | − | 0.444697i | ||||
\(891\) | −0.285425 | − | 8.22208i | −0.00956210 | − | 0.275450i | ||||
\(892\) | −2.61534 | − | 2.61534i | −0.0875680 | − | 0.0875680i | ||||
\(893\) | −50.9479 | − | 50.9479i | −1.70491 | − | 1.70491i | ||||
\(894\) | 23.6385 | − | 24.0522i | 0.790589 | − | 0.804426i | ||||
\(895\) | 10.4011 | + | 4.77642i | 0.347671 | + | 0.159658i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 14.7457 | − | 0.127924i | 0.492343 | − | 0.00427125i | ||||
\(898\) | 30.8792 | − | 30.8792i | 1.03045 | − | 1.03045i | ||||
\(899\) | 12.6159 | 0.420764 | ||||||||
\(900\) | 3.19503 | − | 2.84296i | 0.106501 | − | 0.0947652i | ||||
\(901\) | 13.2715 | 0.442138 | ||||||||
\(902\) | −0.901706 | + | 0.901706i | −0.0300235 | + | 0.0300235i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | − | 27.2823i | − | 0.907395i | ||||||
\(905\) | 3.59722 | + | 1.65192i | 0.119576 | + | 0.0549117i | ||||
\(906\) | −21.8374 | + | 22.2197i | −0.725500 | + | 0.738198i | ||||
\(907\) | 6.51113 | + | 6.51113i | 0.216198 | + | 0.216198i | 0.806894 | − | 0.590696i | \(-0.201147\pi\) |
−0.590696 | + | 0.806894i | \(0.701147\pi\) | |||||||
\(908\) | 4.84695 | + | 4.84695i | 0.160852 | + | 0.160852i | ||||
\(909\) | −0.241782 | − | 13.9339i | −0.00801939 | − | 0.462159i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 32.1044i | − | 1.06367i | −0.846849 | − | 0.531834i | \(-0.821503\pi\) | ||
0.846849 | − | 0.531834i | \(-0.178497\pi\) | |||||||
\(912\) | −0.463668 | − | 53.4467i | −0.0153536 | − | 1.76980i | ||||
\(913\) | −2.17652 | + | 2.17652i | −0.0720324 | + | 0.0720324i | ||||
\(914\) | 2.97167 | 0.0982940 | ||||||||
\(915\) | 3.77338 | + | 1.69334i | 0.124744 | + | 0.0559800i | ||||
\(916\) | 0.928598 | 0.0306817 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −0.245956 | − | 9.44849i | −0.00811777 | − | 0.311847i | ||||
\(919\) | − | 35.3855i | − | 1.16726i | −0.812020 | − | 0.583630i | \(-0.801632\pi\) | ||
0.812020 | − | 0.583630i | \(-0.198368\pi\) | |||||||
\(920\) | −4.72864 | + | 10.2971i | −0.155899 | + | 0.339484i | ||||
\(921\) | −21.8425 | − | 21.4668i | −0.719734 | − | 0.707354i | ||||
\(922\) | −18.6290 | − | 18.6290i | −0.613514 | − | 0.613514i | ||||
\(923\) | 1.71775 | + | 1.71775i | 0.0565405 | + | 0.0565405i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.302967 | + | 4.00014i | −0.00996148 | + | 0.131524i | ||||
\(926\) | 31.7263i | 1.04259i | ||||||||
\(927\) | −21.9481 | + | 22.7232i | −0.720870 | + | 0.746329i | ||||
\(928\) | −3.08243 | + | 3.08243i | −0.101186 | + | 0.101186i | ||||
\(929\) | −45.3102 | −1.48658 | −0.743290 | − | 0.668969i | \(-0.766736\pi\) | ||||
−0.743290 | + | 0.668969i | \(0.766736\pi\) | |||||||
\(930\) | 25.3555 | − | 9.64758i | 0.831441 | − | 0.316357i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 3.36258 | − | 3.36258i | 0.110145 | − | 0.110145i | ||||
\(933\) | 0.352194 | + | 40.5971i | 0.0115303 | + | 1.32909i | ||||
\(934\) | − | 19.0563i | − | 0.623540i | ||||||
\(935\) | −0.854696 | − | 2.30629i | −0.0279516 | − | 0.0754238i | ||||
\(936\) | −33.8667 | + | 0.587656i | −1.10697 | + | 0.0192081i | ||||
\(937\) | −2.63830 | − | 2.63830i | −0.0861894 | − | 0.0861894i | 0.662698 | − | 0.748887i | \(-0.269411\pi\) |
−0.748887 | + | 0.662698i | \(0.769411\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −12.8694 | + | 13.0947i | −0.419977 | + | 0.427328i | ||||
\(940\) | 2.32204 | + | 6.26574i | 0.0757366 | + | 0.204366i | ||||
\(941\) | 27.0062i | 0.880376i | 0.897906 | + | 0.440188i | \(0.145088\pi\) | ||||
−0.897906 | + | 0.440188i | \(0.854912\pi\) | |||||||
\(942\) | 36.4252 | − | 0.316001i | 1.18680 | − | 0.0102959i | ||||
\(943\) | −1.27556 | + | 1.27556i | −0.0415380 | + | 0.0415380i | ||||
\(944\) | 44.3528 | 1.44356 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −9.39763 | −0.305543 | ||||||||
\(947\) | −9.83573 | + | 9.83573i | −0.319618 | + | 0.319618i | −0.848620 | − | 0.529002i | \(-0.822566\pi\) |
0.529002 | + | 0.848620i | \(0.322566\pi\) | |||||||
\(948\) | −1.49683 | + | 0.0129855i | −0.0486147 | + | 0.000421749i | ||||
\(949\) | 9.49347i | 0.308171i | ||||||||
\(950\) | −3.92404 | + | 51.8101i | −0.127313 | + | 1.68094i | ||||
\(951\) | 24.9405 | − | 25.3770i | 0.808750 | − | 0.822905i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −20.8791 | − | 20.8791i | −0.676342 | − | 0.676342i | 0.282829 | − | 0.959170i | \(-0.408727\pi\) |
−0.959170 | + | 0.282829i | \(0.908727\pi\) | |||||||
\(954\) | 50.0100 | − | 0.867774i | 1.61913 | − | 0.0280952i | ||||
\(955\) | −8.56556 | + | 18.6523i | −0.277175 | + | 0.603575i | ||||
\(956\) | − | 4.32877i | − | 0.140002i | ||||||
\(957\) | −0.0373953 | − | 4.31053i | −0.00120882 | − | 0.139340i | ||||
\(958\) | 10.9968 | − | 10.9968i | 0.355289 | − | 0.355289i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 10.3982 | − | 23.1711i | 0.335601 | − | 0.747843i | ||||
\(961\) | −9.52832 | −0.307365 | ||||||||
\(962\) | −3.73522 | + | 3.73522i | −0.120428 | + | 0.120428i | ||||
\(963\) | −13.1869 | + | 13.6526i | −0.424942 | + | 0.439950i | ||||
\(964\) | − | 0.0338618i | − | 0.00109061i | ||||||
\(965\) | 14.8743 | − | 5.51230i | 0.478819 | − | 0.177447i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −38.5871 | − | 38.5871i | −1.24088 | − | 1.24088i | −0.959638 | − | 0.281238i | \(-0.909255\pi\) |
−0.281238 | − | 0.959638i | \(-0.590745\pi\) | |||||||
\(968\) | −18.6318 | − | 18.6318i | −0.598849 | − | 0.598849i | ||||
\(969\) | 10.2185 | + | 10.0427i | 0.328265 | + | 0.322618i | ||||
\(970\) | −6.89870 | − | 3.16804i | −0.221504 | − | 0.101720i | ||||
\(971\) | 21.4943i | 0.689786i | 0.938642 | + | 0.344893i | \(0.112085\pi\) | ||||
−0.938642 | + | 0.344893i | \(0.887915\pi\) | |||||||
\(972\) | −0.192724 | − | 4.44035i | −0.00618163 | − | 0.142424i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −28.1852 | −0.903112 | ||||||||
\(975\) | 37.6345 | + | 2.52225i | 1.20527 | + | 0.0807766i | ||||
\(976\) | −4.79369 | −0.153442 | ||||||||
\(977\) | −31.5962 | + | 31.5962i | −1.01085 | + | 1.01085i | −0.0109125 | + | 0.999940i | \(0.503474\pi\) |
−0.999940 | + | 0.0109125i | \(0.996526\pi\) | |||||||
\(978\) | −0.547257 | − | 63.0818i | −0.0174993 | − | 2.01713i | ||||
\(979\) | − | 10.3245i | − | 0.329971i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0.448608 | + | 25.8534i | 0.0143229 | + | 0.825435i | ||||
\(982\) | −26.3955 | − | 26.3955i | −0.842315 | − | 0.842315i | ||||
\(983\) | 9.20130 | + | 9.20130i | 0.293476 | + | 0.293476i | 0.838452 | − | 0.544976i | \(-0.183461\pi\) |
−0.544976 | + | 0.838452i | \(0.683461\pi\) | |||||||
\(984\) | 2.90442 | − | 2.95525i | 0.0925894 | − | 0.0942100i | ||||
\(985\) | 37.2245 | − | 13.7952i | 1.18607 | − | 0.439551i | ||||
\(986\) | − | 4.95237i | − | 0.157716i | ||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −6.03628 | + | 6.03628i | −0.192040 | + | 0.192040i | ||||
\(989\) | −13.2940 | −0.422724 | ||||||||
\(990\) | −3.37149 | − | 8.63473i | −0.107153 | − | 0.274430i | ||||
\(991\) | 13.4625 | 0.427652 | 0.213826 | − | 0.976872i | \(-0.431407\pi\) | ||||
0.213826 | + | 0.976872i | \(0.431407\pi\) | |||||||
\(992\) | −5.24615 | + | 5.24615i | −0.166565 | + | 0.166565i | ||||
\(993\) | 55.3053 | − | 0.479793i | 1.75506 | − | 0.0152258i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −16.0657 | + | 34.9847i | −0.509318 | + | 1.10909i | ||||
\(996\) | −1.16559 | + | 1.18599i | −0.0369331 | + | 0.0375796i | ||||
\(997\) | −26.8715 | − | 26.8715i | −0.851029 | − | 0.851029i | 0.139231 | − | 0.990260i | \(-0.455537\pi\) |
−0.990260 | + | 0.139231i | \(0.955537\pi\) | |||||||
\(998\) | −13.7650 | − | 13.7650i | −0.435724 | − | 0.435724i | ||||
\(999\) | 3.02363 | + | 2.87020i | 0.0956633 | + | 0.0908092i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))