Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(22,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(112))
chi = DirichletCharacter(H, H._module([35, 40]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.bj (of order \(112\), degree \(48\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(3072\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{112})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{112}]$ |
Embedding invariants
Embedding label | 22.17 | ||
Character | \(\chi\) | \(=\) | 731.22 |
Dual form | 731.2.bj.a.432.17 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{5}{16}\right)\) | \(e\left(\frac{5}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.49751 | − | 0.0840984i | −1.05890 | − | 0.0594665i | −0.481912 | − | 0.876219i | \(-0.660058\pi\) |
−0.576988 | + | 0.816753i | \(0.695772\pi\) | |||||||
\(3\) | −0.399239 | + | 0.676808i | −0.230501 | + | 0.390755i | −0.954111 | − | 0.299454i | \(-0.903196\pi\) |
0.723610 | + | 0.690209i | \(0.242481\pi\) | |||||||
\(4\) | 0.248041 | + | 0.0279476i | 0.124021 | + | 0.0139738i | ||||
\(5\) | 0.0330786 | + | 1.17897i | 0.0147932 | + | 0.527250i | 0.971614 | + | 0.236572i | \(0.0760239\pi\) |
−0.956821 | + | 0.290679i | \(0.906119\pi\) | |||||||
\(6\) | 0.654783 | − | 0.979952i | 0.267314 | − | 0.400064i | ||||
\(7\) | −3.04840 | + | 0.606365i | −1.15219 | + | 0.229185i | −0.733983 | − | 0.679168i | \(-0.762341\pi\) |
−0.418205 | + | 0.908352i | \(0.637341\pi\) | |||||||
\(8\) | 2.58826 | + | 0.439764i | 0.915089 | + | 0.155480i | ||||
\(9\) | 1.15248 | + | 2.08525i | 0.384160 | + | 0.695085i | ||||
\(10\) | 0.0496137 | − | 1.76830i | 0.0156892 | − | 0.559185i | ||||
\(11\) | 4.95354 | − | 1.57884i | 1.49355 | − | 0.476037i | 0.558183 | − | 0.829718i | \(-0.311499\pi\) |
0.935366 | + | 0.353681i | \(0.115070\pi\) | |||||||
\(12\) | −0.117943 | + | 0.156719i | −0.0340472 | + | 0.0452408i | ||||
\(13\) | −0.650856 | + | 1.03583i | −0.180515 | + | 0.287288i | −0.924708 | − | 0.380676i | \(-0.875691\pi\) |
0.744193 | + | 0.667964i | \(0.232834\pi\) | |||||||
\(14\) | 4.61601 | − | 0.651673i | 1.23368 | − | 0.174167i | ||||
\(15\) | −0.811141 | − | 0.448302i | −0.209436 | − | 0.115751i | ||||
\(16\) | −4.32567 | − | 0.987307i | −1.08142 | − | 0.246827i | ||||
\(17\) | 4.02075 | − | 0.913021i | 0.975174 | − | 0.221440i | ||||
\(18\) | −1.55048 | − | 3.21961i | −0.365453 | − | 0.758870i | ||||
\(19\) | −2.16416 | − | 1.19609i | −0.496493 | − | 0.274402i | 0.215607 | − | 0.976480i | \(-0.430827\pi\) |
−0.712100 | + | 0.702078i | \(0.752256\pi\) | |||||||
\(20\) | −0.0247444 | + | 0.293357i | −0.00553301 | + | 0.0655967i | ||||
\(21\) | 0.806648 | − | 2.30527i | 0.176025 | − | 0.503051i | ||||
\(22\) | −7.55076 | + | 1.94774i | −1.60983 | + | 0.415259i | ||||
\(23\) | 0.640529 | + | 2.00964i | 0.133560 | + | 0.419039i | 0.996232 | − | 0.0867239i | \(-0.0276398\pi\) |
−0.862673 | + | 0.505762i | \(0.831211\pi\) | |||||||
\(24\) | −1.33097 | + | 1.57619i | −0.271683 | + | 0.321738i | ||||
\(25\) | 3.60326 | − | 0.202355i | 0.720653 | − | 0.0404710i | ||||
\(26\) | 1.06178 | − | 1.49643i | 0.208231 | − | 0.293475i | ||||
\(27\) | −4.22786 | − | 0.118622i | −0.813653 | − | 0.0228289i | ||||
\(28\) | −0.773077 | + | 0.0652082i | −0.146098 | + | 0.0123232i | ||||
\(29\) | −5.32030 | + | 7.06943i | −0.987954 | + | 1.31276i | −0.0383649 | + | 0.999264i | \(0.512215\pi\) |
−0.949589 | + | 0.313497i | \(0.898499\pi\) | |||||||
\(30\) | 1.17699 | + | 0.739552i | 0.214888 | + | 0.135023i | ||||
\(31\) | 4.77381 | − | 0.673950i | 0.857402 | − | 0.121045i | 0.302692 | − | 0.953089i | \(-0.402115\pi\) |
0.554710 | + | 0.832044i | \(0.312829\pi\) | |||||||
\(32\) | 1.34921 | + | 0.388701i | 0.238509 | + | 0.0687132i | ||||
\(33\) | −0.909077 | + | 3.98293i | −0.158250 | + | 0.693339i | ||||
\(34\) | −6.09789 | + | 1.02912i | −1.04578 | + | 0.176493i | ||||
\(35\) | −0.815722 | − | 3.57391i | −0.137882 | − | 0.604102i | ||||
\(36\) | 0.227585 | + | 0.549438i | 0.0379308 | + | 0.0915731i | ||||
\(37\) | −8.70779 | + | 5.81836i | −1.43155 | + | 0.956533i | −0.433076 | + | 0.901358i | \(0.642572\pi\) |
−0.998477 | + | 0.0551753i | \(0.982428\pi\) | |||||||
\(38\) | 3.14027 | + | 1.97316i | 0.509419 | + | 0.320089i | ||||
\(39\) | −0.441212 | − | 0.854049i | −0.0706505 | − | 0.136757i | ||||
\(40\) | −0.432851 | + | 3.06603i | −0.0684397 | + | 0.484781i | ||||
\(41\) | 0.289657 | − | 1.12291i | 0.0452368 | − | 0.175369i | −0.941707 | − | 0.336435i | \(-0.890779\pi\) |
0.986944 | + | 0.161066i | \(0.0514932\pi\) | |||||||
\(42\) | −1.40183 | + | 3.38433i | −0.216308 | + | 0.522213i | ||||
\(43\) | 6.55743 | + | 0.00952720i | 0.999999 | + | 0.00145288i | ||||
\(44\) | 1.27281 | − | 0.253177i | 0.191883 | − | 0.0381679i | ||||
\(45\) | −2.42033 | + | 1.42771i | −0.360801 | + | 0.212831i | ||||
\(46\) | −0.790192 | − | 3.06332i | −0.116507 | − | 0.451662i | ||||
\(47\) | −0.221454 | + | 1.96545i | −0.0323023 | + | 0.286691i | 0.967168 | + | 0.254139i | \(0.0817921\pi\) |
−0.999470 | + | 0.0325521i | \(0.989637\pi\) | |||||||
\(48\) | 2.39519 | − | 2.53348i | 0.345716 | − | 0.365676i | ||||
\(49\) | 2.45793 | − | 1.01811i | 0.351133 | − | 0.145444i | ||||
\(50\) | −5.41294 | −0.765506 | ||||||||
\(51\) | −0.987298 | + | 3.08579i | −0.138249 | + | 0.432096i | ||||
\(52\) | −0.190388 | + | 0.238739i | −0.0264021 | + | 0.0331072i | ||||
\(53\) | −10.5447 | + | 1.79162i | −1.44843 | + | 0.246098i | −0.837869 | − | 0.545872i | \(-0.816198\pi\) |
−0.610560 | + | 0.791970i | \(0.709056\pi\) | |||||||
\(54\) | 6.32129 | + | 0.533195i | 0.860219 | + | 0.0725586i | ||||
\(55\) | 2.02525 | + | 5.78784i | 0.273085 | + | 0.780432i | ||||
\(56\) | −8.15673 | + | 0.228856i | −1.08999 | + | 0.0305821i | ||||
\(57\) | 1.67354 | − | 0.987197i | 0.221666 | − | 0.130758i | ||||
\(58\) | 8.56173 | − | 10.1391i | 1.12421 | − | 1.33133i | ||||
\(59\) | 0.396510 | − | 0.558829i | 0.0516212 | − | 0.0727533i | −0.788939 | − | 0.614472i | \(-0.789369\pi\) |
0.840560 | + | 0.541719i | \(0.182226\pi\) | |||||||
\(60\) | −0.188668 | − | 0.133867i | −0.0243569 | − | 0.0172821i | ||||
\(61\) | 0.536448 | + | 0.712815i | 0.0686852 | + | 0.0912666i | 0.832049 | − | 0.554702i | \(-0.187168\pi\) |
−0.763364 | + | 0.645969i | \(0.776454\pi\) | |||||||
\(62\) | −7.20551 | + | 0.607778i | −0.915101 | + | 0.0771879i | ||||
\(63\) | −4.77765 | − | 5.65787i | −0.601927 | − | 0.712825i | ||||
\(64\) | 6.38810 | + | 2.23529i | 0.798512 | + | 0.279411i | ||||
\(65\) | −1.24274 | − | 0.733075i | −0.154143 | − | 0.0909267i | ||||
\(66\) | 1.69631 | − | 5.88803i | 0.208801 | − | 0.724766i | ||||
\(67\) | 0.00151443 | − | 0.00120772i | 0.000185017 | − | 0.000147546i | −0.623397 | − | 0.781905i | \(-0.714248\pi\) |
0.623582 | + | 0.781758i | \(0.285677\pi\) | |||||||
\(68\) | 1.02283 | − | 0.114097i | 0.124036 | − | 0.0138363i | ||||
\(69\) | −1.61586 | − | 0.368810i | −0.194527 | − | 0.0443995i | ||||
\(70\) | 0.920993 | + | 5.42057i | 0.110080 | + | 0.647882i | ||||
\(71\) | −4.19811 | − | 1.33806i | −0.498224 | − | 0.158798i | 0.0440010 | − | 0.999031i | \(-0.485990\pi\) |
−0.542225 | + | 0.840233i | \(0.682418\pi\) | |||||||
\(72\) | 2.06590 | + | 5.90401i | 0.243469 | + | 0.695794i | ||||
\(73\) | 0.320644 | + | 11.4282i | 0.0375286 | + | 1.33757i | 0.761691 | + | 0.647940i | \(0.224369\pi\) |
−0.724163 | + | 0.689629i | \(0.757774\pi\) | |||||||
\(74\) | 13.5293 | − | 7.98075i | 1.57275 | − | 0.927743i | ||||
\(75\) | −1.30161 | + | 2.51950i | −0.150297 | + | 0.290927i | ||||
\(76\) | −0.503375 | − | 0.357163i | −0.0577410 | − | 0.0409694i | ||||
\(77\) | −14.1430 | + | 7.81659i | −1.61175 | + | 0.890783i | ||||
\(78\) | 0.588896 | + | 1.31605i | 0.0666793 | + | 0.149014i | ||||
\(79\) | −0.427677 | − | 0.285764i | −0.0481174 | − | 0.0321510i | 0.531279 | − | 0.847197i | \(-0.321712\pi\) |
−0.579396 | + | 0.815046i | \(0.696712\pi\) | |||||||
\(80\) | 1.02092 | − | 5.13249i | 0.114142 | − | 0.573830i | ||||
\(81\) | −2.03455 | + | 3.23797i | −0.226061 | + | 0.359774i | ||||
\(82\) | −0.528199 | + | 1.65721i | −0.0583298 | + | 0.183008i | ||||
\(83\) | −9.20408 | + | 10.2994i | −1.01028 | + | 1.13050i | −0.0188544 | + | 0.999822i | \(0.506002\pi\) |
−0.991425 | + | 0.130680i | \(0.958284\pi\) | |||||||
\(84\) | 0.264509 | − | 0.549258i | 0.0288603 | − | 0.0599290i | ||||
\(85\) | 1.20942 | + | 4.71013i | 0.131180 | + | 0.510885i | ||||
\(86\) | −9.81902 | − | 0.565737i | −1.05881 | − | 0.0610049i | ||||
\(87\) | −2.66058 | − | 6.42321i | −0.285244 | − | 0.688640i | ||||
\(88\) | 13.5154 | − | 1.90806i | 1.44074 | − | 0.203399i | ||||
\(89\) | −0.447480 | − | 0.156580i | −0.0474328 | − | 0.0165974i | 0.306458 | − | 0.951884i | \(-0.400856\pi\) |
−0.353891 | + | 0.935287i | \(0.615142\pi\) | |||||||
\(90\) | 3.74453 | − | 1.93447i | 0.394708 | − | 0.203911i | ||||
\(91\) | 1.35598 | − | 3.55229i | 0.142145 | − | 0.372381i | ||||
\(92\) | 0.102713 | + | 0.516375i | 0.0107086 | + | 0.0538358i | ||||
\(93\) | −1.44976 | + | 3.50002i | −0.150333 | + | 0.362935i | ||||
\(94\) | 0.496921 | − | 2.92467i | 0.0512535 | − | 0.301656i | ||||
\(95\) | 1.33857 | − | 2.59105i | 0.137334 | − | 0.265836i | ||||
\(96\) | −0.801733 | + | 0.757971i | −0.0818265 | + | 0.0773601i | ||||
\(97\) | −6.89416 | + | 5.82160i | −0.699996 | + | 0.591094i | −0.923495 | − | 0.383610i | \(-0.874681\pi\) |
0.223499 | + | 0.974704i | \(0.428252\pi\) | |||||||
\(98\) | −3.76640 | + | 1.31792i | −0.380464 | + | 0.133130i | ||||
\(99\) | 9.00113 | + | 8.50982i | 0.904648 | + | 0.855269i | ||||
\(100\) | 0.899414 | + | 0.0505100i | 0.0899414 | + | 0.00505100i | ||||
\(101\) | 1.64271 | − | 1.31001i | 0.163455 | − | 0.130351i | −0.538346 | − | 0.842724i | \(-0.680951\pi\) |
0.701802 | + | 0.712372i | \(0.252379\pi\) | |||||||
\(102\) | 1.73800 | − | 4.53797i | 0.172087 | − | 0.449326i | ||||
\(103\) | −1.38895 | + | 6.08539i | −0.136857 | + | 0.599611i | 0.859257 | + | 0.511544i | \(0.170926\pi\) |
−0.996115 | + | 0.0880672i | \(0.971931\pi\) | |||||||
\(104\) | −2.14011 | + | 2.39478i | −0.209855 | + | 0.234828i | ||||
\(105\) | 2.74452 | + | 0.874757i | 0.267838 | + | 0.0853676i | ||||
\(106\) | 15.9415 | − | 1.79618i | 1.54838 | − | 0.174460i | ||||
\(107\) | 2.09206 | + | 8.11026i | 0.202247 | + | 0.784048i | 0.986521 | + | 0.163634i | \(0.0523215\pi\) |
−0.784274 | + | 0.620415i | \(0.786964\pi\) | |||||||
\(108\) | −1.04537 | − | 0.147582i | −0.100591 | − | 0.0142011i | ||||
\(109\) | −6.32840 | − | 3.26933i | −0.606151 | − | 0.313145i | 0.128375 | − | 0.991726i | \(-0.459024\pi\) |
−0.734526 | + | 0.678581i | \(0.762595\pi\) | |||||||
\(110\) | −2.54609 | − | 8.83768i | −0.242760 | − | 0.842639i | ||||
\(111\) | −0.461424 | − | 8.21642i | −0.0437964 | − | 0.779868i | ||||
\(112\) | 13.7851 | + | 0.386772i | 1.30257 | + | 0.0365465i | ||||
\(113\) | −13.7590 | − | 14.5534i | −1.29434 | − | 1.36906i | −0.890994 | − | 0.454015i | \(-0.849991\pi\) |
−0.403343 | − | 0.915049i | \(-0.632152\pi\) | |||||||
\(114\) | −2.58917 | + | 1.33760i | −0.242498 | + | 0.125277i | ||||
\(115\) | −2.34811 | + | 0.821640i | −0.218963 | + | 0.0766183i | ||||
\(116\) | −1.51723 | + | 1.60482i | −0.140871 | + | 0.149004i | ||||
\(117\) | −2.91007 | − | 0.163426i | −0.269036 | − | 0.0151087i | ||||
\(118\) | −0.640775 | + | 0.803506i | −0.0589881 | + | 0.0739688i | ||||
\(119\) | −11.7032 | + | 5.22130i | −1.07283 | + | 0.478635i | ||||
\(120\) | −1.90230 | − | 1.51703i | −0.173655 | − | 0.138486i | ||||
\(121\) | 13.0737 | − | 9.27628i | 1.18852 | − | 0.843298i | ||||
\(122\) | −0.743391 | − | 1.11256i | −0.0673034 | − | 0.100727i | ||||
\(123\) | 0.644350 | + | 0.644350i | 0.0580991 | + | 0.0580991i | ||||
\(124\) | 1.20294 | − | 0.0337512i | 0.108027 | − | 0.00303095i | ||||
\(125\) | 0.853420 | + | 10.1177i | 0.0763322 | + | 0.904957i | ||||
\(126\) | 6.67876 | + | 8.87452i | 0.594991 | + | 0.790605i | ||||
\(127\) | −2.21436 | − | 2.47787i | −0.196493 | − | 0.219875i | 0.639247 | − | 0.769002i | \(-0.279246\pi\) |
−0.835739 | + | 0.549126i | \(0.814961\pi\) | |||||||
\(128\) | −11.9727 | − | 4.95924i | −1.05824 | − | 0.438339i | ||||
\(129\) | −2.62443 | + | 4.43432i | −0.231068 | + | 0.390420i | ||||
\(130\) | 1.79937 | + | 1.20230i | 0.157815 | + | 0.105449i | ||||
\(131\) | 12.7655 | − | 16.9624i | 1.11533 | − | 1.48201i | 0.258781 | − | 0.965936i | \(-0.416679\pi\) |
0.856545 | − | 0.516072i | \(-0.172606\pi\) | |||||||
\(132\) | −0.336802 | + | 0.962525i | −0.0293148 | + | 0.0837770i | ||||
\(133\) | 7.32252 | + | 2.33390i | 0.634943 | + | 0.202374i | ||||
\(134\) | −0.00236944 | + | 0.00168121i | −0.000204689 | + | 0.000145234i | ||||
\(135\) | − | 4.98844i | − | 0.429336i | ||||||
\(136\) | 10.8083 | − | 0.594961i | 0.926801 | − | 0.0510175i | ||||
\(137\) | 15.9332 | − | 3.63665i | 1.36126 | − | 0.310700i | 0.521315 | − | 0.853364i | \(-0.325442\pi\) |
0.839950 | + | 0.542665i | \(0.182584\pi\) | |||||||
\(138\) | 2.38876 | + | 0.688189i | 0.203344 | + | 0.0585825i | ||||
\(139\) | 4.05205 | − | 1.54675i | 0.343691 | − | 0.131194i | −0.178691 | − | 0.983905i | \(-0.557186\pi\) |
0.522382 | + | 0.852712i | \(0.325043\pi\) | |||||||
\(140\) | −0.102451 | − | 0.909276i | −0.00865867 | − | 0.0768478i | ||||
\(141\) | −1.24182 | − | 0.934567i | −0.104580 | − | 0.0787047i | ||||
\(142\) | 6.17419 | + | 2.35681i | 0.518127 | + | 0.197779i | ||||
\(143\) | −1.58864 | + | 6.15863i | −0.132848 | + | 0.515011i | ||||
\(144\) | −2.92646 | − | 10.1580i | −0.243872 | − | 0.846498i | ||||
\(145\) | −8.51062 | − | 6.03861i | −0.706769 | − | 0.501479i | ||||
\(146\) | 0.480925 | − | 17.1408i | 0.0398016 | − | 1.41858i | ||||
\(147\) | −0.292238 | + | 2.07002i | −0.0241033 | + | 0.170732i | ||||
\(148\) | −2.32250 | + | 1.19983i | −0.190908 | + | 0.0986257i | ||||
\(149\) | 0.105043 | + | 0.932281i | 0.00860544 | + | 0.0763754i | 0.997281 | − | 0.0736941i | \(-0.0234788\pi\) |
−0.988675 | + | 0.150069i | \(0.952050\pi\) | |||||||
\(150\) | 2.16106 | − | 3.66352i | 0.176450 | − | 0.299125i | ||||
\(151\) | 6.10465 | + | 5.45544i | 0.496789 | + | 0.443958i | 0.876680 | − | 0.481073i | \(-0.159753\pi\) |
−0.379891 | + | 0.925031i | \(0.624039\pi\) | |||||||
\(152\) | −5.07543 | − | 4.04752i | −0.411672 | − | 0.328297i | ||||
\(153\) | 6.53771 | + | 7.33204i | 0.528542 | + | 0.592760i | ||||
\(154\) | 21.8367 | − | 10.5160i | 1.75965 | − | 0.847405i | ||||
\(155\) | 0.952477 | + | 5.60588i | 0.0765048 | + | 0.450275i | ||||
\(156\) | −0.0855703 | − | 0.224170i | −0.00685110 | − | 0.0179480i | ||||
\(157\) | 1.74404 | − | 15.4788i | 0.139190 | − | 1.23534i | −0.708831 | − | 0.705379i | \(-0.750777\pi\) |
0.848020 | − | 0.529964i | \(-0.177794\pi\) | |||||||
\(158\) | 0.616418 | + | 0.463902i | 0.0490396 | + | 0.0369061i | ||||
\(159\) | 2.99728 | − | 7.85203i | 0.237700 | − | 0.622707i | ||||
\(160\) | −0.413636 | + | 1.60353i | −0.0327008 | + | 0.126770i | ||||
\(161\) | −3.17117 | − | 5.73779i | −0.249923 | − | 0.452202i | ||||
\(162\) | 3.31907 | − | 4.67779i | 0.260771 | − | 0.367522i | ||||
\(163\) | 6.60800 | + | 3.41378i | 0.517579 | + | 0.267388i | 0.697868 | − | 0.716226i | \(-0.254132\pi\) |
−0.180290 | + | 0.983614i | \(0.557703\pi\) | |||||||
\(164\) | 0.103229 | − | 0.270432i | 0.00806086 | − | 0.0211172i | ||||
\(165\) | −4.72582 | − | 0.940023i | −0.367904 | − | 0.0731807i | ||||
\(166\) | 14.6494 | − | 14.6494i | 1.13701 | − | 1.13701i | ||||
\(167\) | −0.460496 | − | 0.435361i | −0.0356343 | − | 0.0336892i | 0.668973 | − | 0.743286i | \(-0.266734\pi\) |
−0.704608 | + | 0.709597i | \(0.748877\pi\) | |||||||
\(168\) | 3.10159 | − | 5.61191i | 0.239293 | − | 0.432968i | ||||
\(169\) | 4.99116 | + | 10.3642i | 0.383935 | + | 0.797249i | ||||
\(170\) | −1.41501 | − | 7.15518i | −0.108526 | − | 0.548777i | ||||
\(171\) | − | 5.89131i | − | 0.450519i | ||||||
\(172\) | 1.62625 | + | 0.185627i | 0.124000 | + | 0.0141539i | ||||
\(173\) | −0.950288 | − | 1.42221i | −0.0722491 | − | 0.108128i | 0.793586 | − | 0.608459i | \(-0.208212\pi\) |
−0.865835 | + | 0.500330i | \(0.833212\pi\) | |||||||
\(174\) | 3.44407 | + | 9.84257i | 0.261094 | + | 0.746164i | ||||
\(175\) | −10.8615 | + | 2.80175i | −0.821052 | + | 0.211793i | ||||
\(176\) | −22.9862 | + | 1.93886i | −1.73265 | + | 0.146147i | ||||
\(177\) | 0.219917 | + | 0.491467i | 0.0165300 | + | 0.0369409i | ||||
\(178\) | 0.656938 | + | 0.272112i | 0.0492396 | + | 0.0203957i | ||||
\(179\) | −11.8751 | − | 4.91885i | −0.887590 | − | 0.367652i | −0.108154 | − | 0.994134i | \(-0.534494\pi\) |
−0.779436 | + | 0.626482i | \(0.784494\pi\) | |||||||
\(180\) | −0.640242 | + | 0.286490i | −0.0477208 | + | 0.0213537i | ||||
\(181\) | 12.9295 | − | 4.12101i | 0.961043 | − | 0.306312i | 0.218295 | − | 0.975883i | \(-0.429950\pi\) |
0.742748 | + | 0.669571i | \(0.233522\pi\) | |||||||
\(182\) | −2.32934 | + | 5.20556i | −0.172662 | + | 0.385862i | ||||
\(183\) | −0.696610 | + | 0.0784891i | −0.0514949 | + | 0.00580208i | ||||
\(184\) | 0.774093 | + | 5.48315i | 0.0570669 | + | 0.404223i | ||||
\(185\) | −7.14770 | − | 10.0737i | −0.525510 | − | 0.740637i | ||||
\(186\) | 2.46537 | − | 5.11940i | 0.180770 | − | 0.375372i | ||||
\(187\) | 18.4754 | − | 10.8708i | 1.35106 | − | 0.794951i | ||||
\(188\) | −0.109859 | + | 0.481325i | −0.00801231 | + | 0.0351042i | ||||
\(189\) | 12.9602 | − | 2.20202i | 0.942713 | − | 0.160173i | ||||
\(190\) | −2.22242 | + | 3.76755i | −0.161231 | + | 0.273327i | ||||
\(191\) | 0.150047 | − | 1.33171i | 0.0108570 | − | 0.0963589i | −0.987115 | − | 0.160012i | \(-0.948847\pi\) |
0.997972 | + | 0.0636533i | \(0.0202752\pi\) | |||||||
\(192\) | −4.06324 | + | 3.43110i | −0.293239 | + | 0.247618i | ||||
\(193\) | −0.594476 | + | 4.21087i | −0.0427913 | + | 0.303105i | 0.957119 | + | 0.289696i | \(0.0935541\pi\) |
−0.999910 | + | 0.0134092i | \(0.995732\pi\) | |||||||
\(194\) | 10.8137 | − | 8.13812i | 0.776376 | − | 0.584283i | ||||
\(195\) | 0.992301 | − | 0.548426i | 0.0710602 | − | 0.0392736i | ||||
\(196\) | 0.638122 | − | 0.183840i | 0.0455802 | − | 0.0131314i | ||||
\(197\) | −9.39595 | + | 7.07118i | −0.669434 | + | 0.503800i | −0.880728 | − | 0.473622i | \(-0.842946\pi\) |
0.211295 | + | 0.977422i | \(0.432232\pi\) | |||||||
\(198\) | −12.7636 | − | 13.5005i | −0.907072 | − | 0.959441i | ||||
\(199\) | 0.0763110 | + | 0.0341470i | 0.00540954 | + | 0.00242061i | 0.411147 | − | 0.911569i | \(-0.365128\pi\) |
−0.405738 | + | 0.913990i | \(0.632985\pi\) | |||||||
\(200\) | 9.41518 | + | 1.06084i | 0.665754 | + | 0.0750124i | ||||
\(201\) | 0.000212774 | 0.00150715i | 1.50079e−5 | 0.000106306i | ||||||
\(202\) | −2.57014 | + | 1.82361i | −0.180834 | + | 0.128309i | ||||
\(203\) | 11.9317 | − | 24.7765i | 0.837445 | − | 1.73897i | ||||
\(204\) | −0.331131 | + | 0.737810i | −0.0231838 | + | 0.0516570i | ||||
\(205\) | 1.33345 | + | 0.304352i | 0.0931324 | + | 0.0212569i | ||||
\(206\) | 2.59174 | − | 8.99612i | 0.180575 | − | 0.626789i | ||||
\(207\) | −3.45241 | + | 3.65173i | −0.239959 | + | 0.253813i | ||||
\(208\) | 3.83807 | − | 3.83807i | 0.266123 | − | 0.266123i | ||||
\(209\) | −12.6087 | − | 2.50803i | −0.872163 | − | 0.173484i | ||||
\(210\) | −4.03638 | − | 1.54077i | −0.278537 | − | 0.106323i | ||||
\(211\) | −5.68283 | − | 4.79872i | −0.391222 | − | 0.330358i | 0.428058 | − | 0.903751i | \(-0.359198\pi\) |
−0.819280 | + | 0.573394i | \(0.805627\pi\) | |||||||
\(212\) | −2.66560 | + | 0.149697i | −0.183074 | + | 0.0102812i | ||||
\(213\) | 2.58166 | − | 2.30711i | 0.176892 | − | 0.158081i | ||||
\(214\) | −2.45083 | − | 12.3211i | −0.167535 | − | 0.842256i | ||||
\(215\) | 0.205679 | + | 7.73132i | 0.0140272 | + | 0.527271i | ||||
\(216\) | −10.8907 | − | 2.16629i | −0.741015 | − | 0.147397i | ||||
\(217\) | −14.1438 | + | 4.94915i | −0.960147 | + | 0.335970i | ||||
\(218\) | 9.20191 | + | 5.42807i | 0.623232 | + | 0.367635i | ||||
\(219\) | −7.86271 | − | 4.34556i | −0.531312 | − | 0.293646i | ||||
\(220\) | 0.340591 | + | 1.49223i | 0.0229626 | + | 0.100606i | ||||
\(221\) | −1.67119 | + | 4.75906i | −0.112416 | + | 0.320129i | ||||
\(222\) | 12.3430i | 0.828407i | ||||||||
\(223\) | −11.5073 | − | 16.2180i | −0.770585 | − | 1.08604i | −0.993791 | − | 0.111267i | \(-0.964509\pi\) |
0.223205 | − | 0.974771i | \(-0.428348\pi\) | |||||||
\(224\) | −4.34863 | − | 0.366803i | −0.290555 | − | 0.0245080i | ||||
\(225\) | 4.57465 | + | 7.28051i | 0.304977 | + | 0.485367i | ||||
\(226\) | 19.3803 | + | 22.9509i | 1.28916 | + | 1.52667i | ||||
\(227\) | 8.24803 | + | 13.9824i | 0.547441 | + | 0.928047i | 0.999352 | + | 0.0359841i | \(0.0114566\pi\) |
−0.451912 | + | 0.892063i | \(0.649258\pi\) | |||||||
\(228\) | 0.442698 | − | 0.198094i | 0.0293184 | − | 0.0131191i | ||||
\(229\) | −15.0132 | − | 16.7998i | −0.992103 | − | 1.11016i | −0.993913 | − | 0.110165i | \(-0.964862\pi\) |
0.00181051 | − | 0.999998i | \(-0.499424\pi\) | |||||||
\(230\) | 3.58542 | − | 1.03294i | 0.236416 | − | 0.0681102i | ||||
\(231\) | 0.356126 | − | 12.6928i | 0.0234314 | − | 0.835125i | ||||
\(232\) | −16.8792 | + | 15.9579i | −1.10817 | + | 1.04769i | ||||
\(233\) | 1.81393 | + | 7.03203i | 0.118835 | + | 0.460683i | 0.999925 | − | 0.0122648i | \(-0.00390409\pi\) |
−0.881090 | + | 0.472948i | \(0.843190\pi\) | |||||||
\(234\) | 4.34412 | + | 0.489465i | 0.283984 | + | 0.0319973i | ||||
\(235\) | −2.32453 | − | 0.196072i | −0.151636 | − | 0.0127903i | ||||
\(236\) | 0.113969 | − | 0.127531i | 0.00741874 | − | 0.00830157i | ||||
\(237\) | 0.364153 | − | 0.175367i | 0.0236543 | − | 0.0113913i | ||||
\(238\) | 17.9648 | − | 6.83472i | 1.16449 | − | 0.443029i | ||||
\(239\) | 15.0018 | + | 18.8116i | 0.970383 | + | 1.21682i | 0.976207 | + | 0.216839i | \(0.0695745\pi\) |
−0.00582465 | + | 0.999983i | \(0.501854\pi\) | |||||||
\(240\) | 3.06612 | + | 2.74005i | 0.197917 | + | 0.176870i | ||||
\(241\) | 6.43786 | + | 16.8654i | 0.414699 | + | 1.08640i | 0.967453 | + | 0.253051i | \(0.0814340\pi\) |
−0.552754 | + | 0.833344i | \(0.686423\pi\) | |||||||
\(242\) | −20.3581 | + | 12.7919i | −1.30867 | + | 0.822291i | ||||
\(243\) | −7.20304 | − | 13.9428i | −0.462075 | − | 0.894433i | ||||
\(244\) | 0.113140 | + | 0.191800i | 0.00724304 | + | 0.0122787i | ||||
\(245\) | 1.28162 | + | 2.86414i | 0.0818798 | + | 0.182983i | ||||
\(246\) | −0.910733 | − | 1.01911i | −0.0580662 | − | 0.0649761i | ||||
\(247\) | 2.64751 | − | 1.46323i | 0.168457 | − | 0.0931029i | ||||
\(248\) | 12.6523 | + | 0.354988i | 0.803419 | + | 0.0225418i | ||||
\(249\) | −3.29607 | − | 10.3413i | −0.208880 | − | 0.655353i | ||||
\(250\) | −0.427121 | − | 15.2232i | −0.0270135 | − | 0.962798i | ||||
\(251\) | 16.8200 | + | 16.8200i | 1.06167 | + | 1.06167i | 0.997969 | + | 0.0636975i | \(0.0202893\pi\) |
0.0636975 | + | 0.997969i | \(0.479711\pi\) | |||||||
\(252\) | −1.02693 | − | 1.53691i | −0.0646906 | − | 0.0968163i | ||||
\(253\) | 6.34578 | + | 8.94354i | 0.398956 | + | 0.562275i | ||||
\(254\) | 3.10764 | + | 3.89686i | 0.194991 | + | 0.244511i | ||||
\(255\) | −3.67070 | − | 1.06192i | −0.229868 | − | 0.0664999i | ||||
\(256\) | 5.31682 | + | 2.56045i | 0.332302 | + | 0.160028i | ||||
\(257\) | 4.47340 | − | 1.85294i | 0.279043 | − | 0.115584i | −0.238773 | − | 0.971075i | \(-0.576745\pi\) |
0.517816 | + | 0.855492i | \(0.326745\pi\) | |||||||
\(258\) | 4.30303 | − | 6.41973i | 0.267895 | − | 0.399675i | ||||
\(259\) | 23.0168 | − | 23.0168i | 1.43020 | − | 1.43020i | ||||
\(260\) | −0.287764 | − | 0.216564i | −0.0178463 | − | 0.0134308i | ||||
\(261\) | −20.8731 | − | 2.94679i | −1.29201 | − | 0.182402i | ||||
\(262\) | −20.5430 | + | 24.3278i | −1.26915 | + | 1.50297i | ||||
\(263\) | 16.2248 | + | 2.75670i | 1.00046 | + | 0.169985i | 0.644573 | − | 0.764543i | \(-0.277035\pi\) |
0.355889 | + | 0.934528i | \(0.384178\pi\) | |||||||
\(264\) | −4.10448 | + | 9.90909i | −0.252613 | + | 0.609862i | ||||
\(265\) | −2.46107 | − | 12.3726i | −0.151182 | − | 0.760044i | ||||
\(266\) | −10.7693 | − | 4.11085i | −0.660306 | − | 0.252052i | ||||
\(267\) | 0.284626 | − | 0.240345i | 0.0174188 | − | 0.0147089i | ||||
\(268\) | 0.000409394 | 0 | 0.000257239i | 2.50077e−5 | 0 | 1.57134e-5i | ||||
\(269\) | −1.57348 | + | 18.6544i | −0.0959369 | + | 1.13738i | 0.770278 | + | 0.637708i | \(0.220118\pi\) |
−0.866215 | + | 0.499672i | \(0.833454\pi\) | |||||||
\(270\) | −0.419520 | + | 7.47024i | −0.0255312 | + | 0.454624i | ||||
\(271\) | 12.4296 | − | 2.83697i | 0.755044 | − | 0.172334i | 0.172362 | − | 0.985034i | \(-0.444860\pi\) |
0.582683 | + | 0.812700i | \(0.302003\pi\) | |||||||
\(272\) | −18.2939 | − | 0.0202791i | −1.10923 | − | 0.00122960i | ||||
\(273\) | 1.86286 | + | 2.33595i | 0.112745 | + | 0.141378i | ||||
\(274\) | −24.1660 | + | 4.10596i | −1.45992 | + | 0.248050i | ||||
\(275\) | 17.5294 | − | 6.69133i | 1.05706 | − | 0.403503i | ||||
\(276\) | −0.390494 | − | 0.136640i | −0.0235049 | − | 0.00822474i | ||||
\(277\) | 8.93329 | + | 17.2921i | 0.536749 | + | 1.03898i | 0.989115 | + | 0.147146i | \(0.0470088\pi\) |
−0.452365 | + | 0.891833i | \(0.649420\pi\) | |||||||
\(278\) | −6.19807 | + | 1.97550i | −0.371736 | + | 0.118483i | ||||
\(279\) | 6.90708 | + | 9.17790i | 0.413516 | + | 0.549466i | ||||
\(280\) | −0.539627 | − | 9.60895i | −0.0322489 | − | 0.574245i | ||||
\(281\) | −5.42483 | − | 9.81550i | −0.323618 | − | 0.585543i | 0.662994 | − | 0.748624i | \(-0.269285\pi\) |
−0.986613 | + | 0.163081i | \(0.947857\pi\) | |||||||
\(282\) | 1.78105 | + | 1.50396i | 0.106060 | + | 0.0895595i | ||||
\(283\) | −5.49870 | − | 0.776287i | −0.326864 | − | 0.0461455i | −0.0255587 | − | 0.999673i | \(-0.508136\pi\) |
−0.301305 | + | 0.953528i | \(0.597422\pi\) | |||||||
\(284\) | −1.00391 | − | 0.449221i | −0.0595711 | − | 0.0266564i | ||||
\(285\) | 1.21923 | + | 1.94040i | 0.0722211 | + | 0.114939i | ||||
\(286\) | 2.89693 | − | 9.08901i | 0.171299 | − | 0.537445i | ||||
\(287\) | −0.202099 | + | 3.59871i | −0.0119296 | + | 0.212425i | ||||
\(288\) | 0.744397 | + | 3.26142i | 0.0438640 | + | 0.192181i | ||||
\(289\) | 15.3328 | − | 7.34205i | 0.901929 | − | 0.431885i | ||||
\(290\) | 12.2369 | + | 9.75861i | 0.718576 | + | 0.573045i | ||||
\(291\) | −1.18769 | − | 6.99023i | −0.0696235 | − | 0.409774i | ||||
\(292\) | −0.239857 | + | 2.84363i | −0.0140366 | + | 0.166411i | ||||
\(293\) | −10.5094 | − | 6.60348i | −0.613965 | − | 0.385780i | 0.188852 | − | 0.982006i | \(-0.439523\pi\) |
−0.802817 | + | 0.596226i | \(0.796666\pi\) | |||||||
\(294\) | 0.611714 | − | 3.07529i | 0.0356759 | − | 0.179355i | ||||
\(295\) | 0.671957 | + | 0.448988i | 0.0391229 | + | 0.0261411i | ||||
\(296\) | −25.0968 | + | 11.2301i | −1.45872 | + | 0.652735i | ||||
\(297\) | −21.1302 | + | 6.08750i | −1.22610 | + | 0.353233i | ||||
\(298\) | −0.0788994 | − | 1.40493i | −0.00457052 | − | 0.0813856i | ||||
\(299\) | −2.49854 | − | 0.644505i | −0.144494 | − | 0.0372727i | ||||
\(300\) | −0.393266 | + | 0.588565i | −0.0227052 | + | 0.0339808i | ||||
\(301\) | −19.9955 | + | 3.94716i | −1.15252 | + | 0.227510i | ||||
\(302\) | −8.68298 | − | 8.68298i | −0.499649 | − | 0.499649i | ||||
\(303\) | 0.230796 | + | 1.63480i | 0.0132589 | + | 0.0939170i | ||||
\(304\) | 8.18056 | + | 7.31060i | 0.469187 | + | 0.419291i | ||||
\(305\) | −0.822641 | + | 0.656034i | −0.0471043 | + | 0.0375644i | ||||
\(306\) | −9.17367 | − | 11.5296i | −0.524424 | − | 0.659104i | ||||
\(307\) | 16.2786 | 0.929067 | 0.464533 | − | 0.885556i | \(-0.346222\pi\) | ||||
0.464533 | + | 0.885556i | \(0.346222\pi\) | |||||||
\(308\) | −3.72652 | + | 1.54357i | −0.212338 | + | 0.0879532i | ||||
\(309\) | −3.56411 | − | 3.36957i | −0.202755 | − | 0.191688i | ||||
\(310\) | −0.954899 | − | 8.47496i | −0.0542346 | − | 0.481346i | ||||
\(311\) | 12.8013 | + | 5.72823i | 0.725897 | + | 0.324818i | 0.737715 | − | 0.675112i | \(-0.235905\pi\) |
−0.0118182 | + | 0.999930i | \(0.503762\pi\) | |||||||
\(312\) | −0.766393 | − | 2.40453i | −0.0433885 | − | 0.136130i | ||||
\(313\) | −3.89411 | − | 1.00450i | −0.220108 | − | 0.0567775i | 0.138104 | − | 0.990418i | \(-0.455899\pi\) |
−0.358212 | + | 0.933640i | \(0.616613\pi\) | |||||||
\(314\) | −3.91346 | + | 23.0330i | −0.220849 | + | 1.29983i | ||||
\(315\) | 6.51241 | − | 5.81985i | 0.366933 | − | 0.327911i | ||||
\(316\) | −0.0980951 | − | 0.0828339i | −0.00551828 | − | 0.00465977i | ||||
\(317\) | 5.22703 | − | 4.94172i | 0.293579 | − | 0.277555i | −0.526044 | − | 0.850457i | \(-0.676325\pi\) |
0.819624 | + | 0.572902i | \(0.194183\pi\) | |||||||
\(318\) | −5.14880 | + | 11.5064i | −0.288730 | + | 0.645249i | ||||
\(319\) | −15.1928 | + | 43.4186i | −0.850635 | + | 2.43098i | ||||
\(320\) | −2.42403 | + | 7.60530i | −0.135507 | + | 0.425149i | ||||
\(321\) | −6.32432 | − | 1.82201i | −0.352989 | − | 0.101694i | ||||
\(322\) | 4.26632 | + | 8.85910i | 0.237753 | + | 0.493698i | ||||
\(323\) | −9.79361 | − | 2.83325i | −0.544931 | − | 0.157646i | ||||
\(324\) | −0.595146 | + | 0.746290i | −0.0330637 | + | 0.0414605i | ||||
\(325\) | −2.13560 | + | 3.86408i | −0.118462 | + | 0.214340i | ||||
\(326\) | −9.60846 | − | 5.66789i | −0.532164 | − | 0.313915i | ||||
\(327\) | 4.73925 | − | 2.97787i | 0.262081 | − | 0.164677i | ||||
\(328\) | 1.24352 | − | 2.77900i | 0.0686620 | − | 0.153445i | ||||
\(329\) | −0.516703 | − | 6.12578i | −0.0284868 | − | 0.337725i | ||||
\(330\) | 6.99791 | + | 1.80513i | 0.385222 | + | 0.0993691i | ||||
\(331\) | 2.42387 | + | 0.411833i | 0.133228 | + | 0.0226364i | 0.233737 | − | 0.972300i | \(-0.424904\pi\) |
−0.100509 | + | 0.994936i | \(0.532047\pi\) | |||||||
\(332\) | −2.57083 | + | 2.29744i | −0.141093 | + | 0.126088i | ||||
\(333\) | −22.1683 | − | 11.4524i | −1.21482 | − | 0.627589i | ||||
\(334\) | 0.652985 | + | 0.690685i | 0.0357297 | + | 0.0377926i | ||||
\(335\) | 0.00147396 | + | 0.00174551i | 8.05308e−5 | + | 9.53676e-5i | ||||
\(336\) | −5.76530 | + | 9.17543i | −0.314523 | + | 0.500561i | ||||
\(337\) | −12.4639 | + | 8.32811i | −0.678952 | + | 0.453661i | −0.846631 | − | 0.532180i | \(-0.821373\pi\) |
0.167679 | + | 0.985842i | \(0.446373\pi\) | |||||||
\(338\) | −6.60269 | − | 15.9403i | −0.359139 | − | 0.867039i | ||||
\(339\) | 15.3429 | − | 3.50193i | 0.833314 | − | 0.190199i | ||||
\(340\) | 0.168350 | + | 1.20211i | 0.00913008 | + | 0.0651934i | ||||
\(341\) | 22.5832 | − | 10.8755i | 1.22295 | − | 0.588942i | ||||
\(342\) | −0.495449 | + | 8.82229i | −0.0267908 | + | 0.477055i | ||||
\(343\) | 11.2148 | − | 7.49347i | 0.605540 | − | 0.404609i | ||||
\(344\) | 16.9682 | + | 2.90838i | 0.914862 | + | 0.156809i | ||||
\(345\) | 0.381365 | − | 1.91725i | 0.0205320 | − | 0.103221i | ||||
\(346\) | 1.30346 | + | 2.20969i | 0.0700745 | + | 0.118794i | ||||
\(347\) | −26.5260 | + | 19.9629i | −1.42399 | + | 1.07166i | −0.439112 | + | 0.898432i | \(0.644707\pi\) |
−0.984881 | + | 0.173232i | \(0.944579\pi\) | |||||||
\(348\) | −0.480421 | − | 1.66758i | −0.0257533 | − | 0.0893916i | ||||
\(349\) | 1.25666 | − | 7.39620i | 0.0672677 | − | 0.395909i | −0.932159 | − | 0.362049i | \(-0.882077\pi\) |
0.999427 | − | 0.0338598i | \(-0.0107800\pi\) | |||||||
\(350\) | 16.5008 | − | 3.28222i | 0.882007 | − | 0.175442i | ||||
\(351\) | 2.87460 | − | 4.30215i | 0.153435 | − | 0.229632i | ||||
\(352\) | 7.29706 | − | 0.204736i | 0.388935 | − | 0.0109125i | ||||
\(353\) | −35.9988 | + | 4.05609i | −1.91602 | + | 0.215884i | −0.987753 | − | 0.156026i | \(-0.950132\pi\) |
−0.928269 | + | 0.371910i | \(0.878703\pi\) | |||||||
\(354\) | −0.287997 | − | 0.754472i | −0.0153069 | − | 0.0400998i | ||||
\(355\) | 1.43866 | − | 4.99370i | 0.0763562 | − | 0.265038i | ||||
\(356\) | −0.106617 | − | 0.0513443i | −0.00565071 | − | 0.00272124i | ||||
\(357\) | 1.13857 | − | 10.0054i | 0.0602595 | − | 0.529541i | ||||
\(358\) | 17.3695 | + | 8.36471i | 0.918006 | + | 0.442088i | ||||
\(359\) | −1.32850 | + | 2.40375i | −0.0701157 | + | 0.126865i | −0.907980 | − | 0.419014i | \(-0.862376\pi\) |
0.837864 | + | 0.545879i | \(0.183804\pi\) | |||||||
\(360\) | −6.89230 | + | 2.63093i | −0.363256 | + | 0.138662i | ||||
\(361\) | −6.85564 | − | 10.9107i | −0.360823 | − | 0.574246i | ||||
\(362\) | −19.7087 | + | 5.08390i | −1.03586 | + | 0.267204i | ||||
\(363\) | 1.05873 | + | 12.5518i | 0.0555691 | + | 0.658800i | ||||
\(364\) | 0.435617 | − | 0.843219i | 0.0228325 | − | 0.0441967i | ||||
\(365\) | −13.4629 | + | 0.756059i | −0.704679 | + | 0.0395739i | ||||
\(366\) | 1.04978 | − | 0.0589545i | 0.0548730 | − | 0.00308160i | ||||
\(367\) | −11.1496 | + | 21.5821i | −0.582002 | + | 1.12657i | 0.396053 | + | 0.918228i | \(0.370380\pi\) |
−0.978055 | + | 0.208347i | \(0.933192\pi\) | |||||||
\(368\) | −0.786591 | − | 9.32544i | −0.0410039 | − | 0.486122i | ||||
\(369\) | 2.67537 | − | 0.690119i | 0.139274 | − | 0.0359262i | ||||
\(370\) | 9.85658 | + | 15.6867i | 0.512419 | + | 0.815510i | ||||
\(371\) | 31.0582 | − | 11.8555i | 1.61246 | − | 0.615509i | ||||
\(372\) | −0.457416 | + | 0.827633i | −0.0237159 | + | 0.0429108i | ||||
\(373\) | 19.1217 | + | 9.20854i | 0.990086 | + | 0.476800i | 0.857563 | − | 0.514380i | \(-0.171978\pi\) |
0.132523 | + | 0.991180i | \(0.457692\pi\) | |||||||
\(374\) | −28.5814 | + | 14.7254i | −1.47791 | + | 0.761430i | ||||
\(375\) | −7.18848 | − | 3.46179i | −0.371211 | − | 0.178766i | ||||
\(376\) | −1.43752 | + | 4.98973i | −0.0741342 | + | 0.257325i | ||||
\(377\) | −3.86000 | − | 10.1121i | −0.198800 | − | 0.520800i | ||||
\(378\) | −19.5932 | + | 2.20762i | −1.00776 | + | 0.113548i | ||||
\(379\) | −3.39027 | + | 0.0951217i | −0.174146 | + | 0.00488607i | −0.115013 | − | 0.993364i | \(-0.536691\pi\) |
−0.0591335 | + | 0.998250i | \(0.518834\pi\) | |||||||
\(380\) | 0.404433 | − | 0.605277i | 0.0207470 | − | 0.0310501i | ||||
\(381\) | 2.56110 | − | 0.509434i | 0.131209 | − | 0.0260991i | ||||
\(382\) | −0.336692 | + | 1.98163i | −0.0172267 | + | 0.101389i | ||||
\(383\) | −5.33686 | − | 18.5247i | −0.272701 | − | 0.946566i | −0.972631 | − | 0.232355i | \(-0.925357\pi\) |
0.699930 | − | 0.714211i | \(-0.253214\pi\) | |||||||
\(384\) | 8.13641 | − | 6.12327i | 0.415209 | − | 0.312477i | ||||
\(385\) | −9.68334 | − | 16.4156i | −0.493509 | − | 0.836618i | ||||
\(386\) | 1.24436 | − | 6.25583i | 0.0633363 | − | 0.318413i | ||||
\(387\) | 7.53744 | + | 13.6849i | 0.383150 | + | 0.695642i | ||||
\(388\) | −1.87274 | + | 1.25132i | −0.0950738 | + | 0.0635263i | ||||
\(389\) | −0.983893 | + | 17.5198i | −0.0498854 | + | 0.888291i | 0.869256 | + | 0.494363i | \(0.164599\pi\) |
−0.919141 | + | 0.393929i | \(0.871116\pi\) | |||||||
\(390\) | −1.53210 | + | 0.737822i | −0.0775811 | + | 0.0373611i | ||||
\(391\) | 4.41025 | + | 7.49543i | 0.223036 | + | 0.379060i | ||||
\(392\) | 6.80950 | − | 1.55422i | 0.343932 | − | 0.0785001i | ||||
\(393\) | 6.38378 | + | 15.4118i | 0.322019 | + | 0.777423i | ||||
\(394\) | 14.6652 | − | 9.79898i | 0.738822 | − | 0.493665i | ||||
\(395\) | 0.322760 | − | 0.513670i | 0.0162398 | − | 0.0258455i | ||||
\(396\) | 1.99482 | + | 2.36235i | 0.100244 | + | 0.118712i | ||||
\(397\) | 20.4743 | + | 21.6564i | 1.02758 | + | 1.08690i | 0.996174 | + | 0.0873968i | \(0.0278548\pi\) |
0.0314034 | + | 0.999507i | \(0.490002\pi\) | |||||||
\(398\) | −0.111405 | − | 0.0575531i | −0.00558422 | − | 0.00288487i | ||||
\(399\) | −4.50303 | + | 4.02415i | −0.225434 | + | 0.201460i | ||||
\(400\) | −15.7863 | − | 2.68220i | −0.789316 | − | 0.134110i | ||||
\(401\) | −24.1144 | − | 6.22036i | −1.20421 | − | 0.310630i | −0.406491 | − | 0.913655i | \(-0.633248\pi\) |
−0.797723 | + | 0.603025i | \(0.793962\pi\) | |||||||
\(402\) | −0.000191882 | − | 0.00227486i | −9.57021e−6 | − | 0.000113460i | ||||
\(403\) | −2.40897 | + | 5.38351i | −0.119999 | + | 0.268172i | ||||
\(404\) | 0.444071 | − | 0.279028i | 0.0220933 | − | 0.0138822i | ||||
\(405\) | −3.88476 | − | 2.29156i | −0.193035 | − | 0.113869i | ||||
\(406\) | −19.9516 | + | 36.0997i | −0.990181 | + | 1.79160i | ||||
\(407\) | −33.9482 | + | 42.5697i | −1.68275 | + | 2.11010i | ||||
\(408\) | −3.91240 | + | 7.55265i | −0.193693 | + | 0.373912i | ||||
\(409\) | 9.40742 | + | 19.5347i | 0.465167 | + | 0.965930i | 0.993169 | + | 0.116686i | \(0.0372272\pi\) |
−0.528002 | + | 0.849243i | \(0.677059\pi\) | |||||||
\(410\) | −1.97127 | − | 0.567912i | −0.0973538 | − | 0.0280472i | ||||
\(411\) | −3.89984 | + | 12.2356i | −0.192365 | + | 0.603538i | ||||
\(412\) | −0.514589 | + | 1.47061i | −0.0253520 | + | 0.0724517i | ||||
\(413\) | −0.869869 | + | 1.94397i | −0.0428035 | + | 0.0956563i | ||||
\(414\) | 5.47713 | − | 5.17817i | 0.269186 | − | 0.254493i | ||||
\(415\) | −12.4471 | − | 10.5106i | −0.611003 | − | 0.515946i | ||||
\(416\) | −1.28077 | + | 1.14457i | −0.0627949 | + | 0.0561170i | ||||
\(417\) | −0.570884 | + | 3.35998i | −0.0279563 | + | 0.164539i | ||||
\(418\) | 18.6708 | + | 4.81617i | 0.913217 | + | 0.235567i | ||||
\(419\) | −10.7961 | − | 33.8725i | −0.527426 | − | 1.65478i | −0.736159 | − | 0.676809i | \(-0.763362\pi\) |
0.208733 | − | 0.977973i | \(-0.433066\pi\) | |||||||
\(420\) | 0.656307 | + | 0.293679i | 0.0320245 | + | 0.0143300i | ||||
\(421\) | 2.97024 | + | 26.3616i | 0.144760 | + | 1.28478i | 0.830533 | + | 0.556969i | \(0.188036\pi\) |
−0.685773 | + | 0.727816i | \(0.740536\pi\) | |||||||
\(422\) | 8.10653 | + | 7.66405i | 0.394620 | + | 0.373080i | ||||
\(423\) | −4.35369 | + | 1.80336i | −0.211684 | + | 0.0876823i | ||||
\(424\) | −28.0804 | −1.36370 | ||||||||
\(425\) | 14.3030 | − | 4.10347i | 0.693800 | − | 0.199048i | ||||
\(426\) | −4.06009 | + | 3.23781i | −0.196712 | + | 0.156872i | ||||
\(427\) | −2.06754 | − | 1.84766i | −0.100055 | − | 0.0894148i | ||||
\(428\) | 0.292256 | + | 2.07015i | 0.0141267 | + | 0.100064i | ||||
\(429\) | −3.53396 | − | 3.53396i | −0.170621 | − | 0.170621i | ||||
\(430\) | 0.342185 | − | 11.5950i | 0.0165016 | − | 0.559162i | ||||
\(431\) | −1.48271 | + | 2.21903i | −0.0714195 | + | 0.106887i | −0.865460 | − | 0.500978i | \(-0.832974\pi\) |
0.794041 | + | 0.607865i | \(0.207974\pi\) | |||||||
\(432\) | 18.1712 | + | 4.68732i | 0.874264 | + | 0.225519i | ||||
\(433\) | 0.862768 | + | 15.3630i | 0.0414620 | + | 0.738299i | 0.948408 | + | 0.317052i | \(0.102693\pi\) |
−0.906946 | + | 0.421247i | \(0.861593\pi\) | |||||||
\(434\) | 21.5968 | − | 6.22192i | 1.03668 | − | 0.298662i | ||||
\(435\) | 7.48475 | − | 3.34921i | 0.358866 | − | 0.160582i | ||||
\(436\) | −1.47834 | − | 0.987793i | −0.0707995 | − | 0.0473067i | ||||
\(437\) | 1.01750 | − | 5.11532i | 0.0486736 | − | 0.244699i | ||||
\(438\) | 11.4090 | + | 7.16877i | 0.545145 | + | 0.342537i | ||||
\(439\) | 2.81913 | − | 33.4222i | 0.134550 | − | 1.59515i | −0.530058 | − | 0.847962i | \(-0.677830\pi\) |
0.664607 | − | 0.747193i | \(-0.268599\pi\) | |||||||
\(440\) | 2.69661 | + | 15.8711i | 0.128556 | + | 0.756625i | ||||
\(441\) | 4.95573 | + | 3.95206i | 0.235987 | + | 0.188193i | ||||
\(442\) | 2.90286 | − | 6.98620i | 0.138075 | − | 0.332300i | ||||
\(443\) | 3.62100 | + | 15.8646i | 0.172039 | + | 0.753751i | 0.985157 | + | 0.171653i | \(0.0549109\pi\) |
−0.813119 | + | 0.582098i | \(0.802232\pi\) | |||||||
\(444\) | 0.115176 | − | 2.05091i | 0.00546603 | − | 0.0973318i | ||||
\(445\) | 0.169801 | − | 0.532744i | 0.00804933 | − | 0.0252545i | ||||
\(446\) | 15.8684 | + | 25.2544i | 0.751390 | + | 1.19583i | ||||
\(447\) | −0.672912 | − | 0.301109i | −0.0318276 | − | 0.0142420i | ||||
\(448\) | −20.8289 | − | 2.94055i | −0.984073 | − | 0.138928i | ||||
\(449\) | 19.9726 | + | 16.8654i | 0.942567 | + | 0.795927i | 0.979095 | − | 0.203406i | \(-0.0652010\pi\) |
−0.0365272 | + | 0.999333i | \(0.511630\pi\) | |||||||
\(450\) | −6.23830 | − | 11.2874i | −0.294077 | − | 0.532091i | ||||
\(451\) | −0.338059 | − | 6.01969i | −0.0159186 | − | 0.283456i | ||||
\(452\) | −3.00607 | − | 3.99436i | −0.141394 | − | 0.187879i | ||||
\(453\) | −6.12950 | + | 1.95365i | −0.287989 | + | 0.0917903i | ||||
\(454\) | −11.1756 | − | 21.6325i | −0.524497 | − | 1.01526i | ||||
\(455\) | 4.23289 | + | 1.48115i | 0.198441 | + | 0.0694375i | ||||
\(456\) | 4.76570 | − | 1.81916i | 0.223174 | − | 0.0851901i | ||||
\(457\) | 35.7071 | − | 6.06687i | 1.67031 | − | 0.283796i | 0.746141 | − | 0.665788i | \(-0.231905\pi\) |
0.924166 | + | 0.381992i | \(0.124762\pi\) | |||||||
\(458\) | 21.0696 | + | 26.4205i | 0.984520 | + | 1.23455i | ||||
\(459\) | −17.1075 | + | 3.38318i | −0.798508 | + | 0.157913i | ||||
\(460\) | −0.605392 | + | 0.138177i | −0.0282265 | + | 0.00644252i | ||||
\(461\) | −0.260226 | + | 4.63375i | −0.0121199 | + | 0.215815i | 0.986519 | + | 0.163650i | \(0.0523267\pi\) |
−0.998638 | + | 0.0521657i | \(0.983388\pi\) | |||||||
\(462\) | −1.60075 | + | 18.9777i | −0.0744735 | + | 0.882921i | ||||
\(463\) | 3.74684 | − | 2.35429i | 0.174130 | − | 0.109413i | −0.442147 | − | 0.896943i | \(-0.645783\pi\) |
0.616277 | + | 0.787529i | \(0.288640\pi\) | |||||||
\(464\) | 29.9936 | − | 25.3273i | 1.39242 | − | 1.17579i | ||||
\(465\) | −4.17437 | − | 1.59344i | −0.193582 | − | 0.0738940i | ||||
\(466\) | −2.12500 | − | 10.6831i | −0.0984386 | − | 0.494884i | ||||
\(467\) | 6.45118 | − | 15.5745i | 0.298525 | − | 0.720703i | −0.701443 | − | 0.712725i | \(-0.747461\pi\) |
0.999968 | − | 0.00797781i | \(-0.00253944\pi\) | |||||||
\(468\) | −0.717251 | − | 0.121866i | −0.0331549 | − | 0.00563325i | ||||
\(469\) | −0.00388428 | + | 0.00459991i | −0.000179359 | + | 0.000212404i | ||||
\(470\) | 3.46452 | + | 0.489110i | 0.159807 | + | 0.0225609i | ||||
\(471\) | 9.77988 | + | 7.36011i | 0.450633 | + | 0.339136i | ||||
\(472\) | 1.27203 | − | 1.27203i | 0.0585497 | − | 0.0585497i | ||||
\(473\) | 32.4976 | − | 10.3059i | 1.49424 | − | 0.473867i | ||||
\(474\) | −0.560071 | + | 0.231989i | −0.0257249 | + | 0.0106556i | ||||
\(475\) | −8.04009 | − | 3.87190i | −0.368905 | − | 0.177655i | ||||
\(476\) | −3.04881 | + | 0.968021i | −0.139742 | + | 0.0443692i | ||||
\(477\) | −15.8886 | − | 19.9236i | −0.727487 | − | 0.912240i | ||||
\(478\) | −20.8833 | − | 29.4322i | −0.955178 | − | 1.34620i | ||||
\(479\) | −8.66246 | − | 12.9643i | −0.395798 | − | 0.592353i | 0.579032 | − | 0.815305i | \(-0.303431\pi\) |
−0.974829 | + | 0.222952i | \(0.928431\pi\) | |||||||
\(480\) | −0.920144 | − | 0.920144i | −0.0419987 | − | 0.0419987i | ||||
\(481\) | −0.359322 | − | 12.8067i | −0.0163837 | − | 0.583936i | ||||
\(482\) | −8.22241 | − | 25.7975i | −0.374520 | − | 1.17504i | ||||
\(483\) | 5.14944 | + | 0.144479i | 0.234307 | + | 0.00657403i | ||||
\(484\) | 3.50207 | − | 1.93552i | 0.159185 | − | 0.0879783i | ||||
\(485\) | −7.09153 | − | 7.93542i | −0.322010 | − | 0.360329i | ||||
\(486\) | 9.61406 | + | 21.4853i | 0.436103 | + | 0.974594i | ||||
\(487\) | −4.42050 | − | 7.49383i | −0.200312 | − | 0.339578i | 0.744256 | − | 0.667895i | \(-0.232804\pi\) |
−0.944568 | + | 0.328317i | \(0.893519\pi\) | |||||||
\(488\) | 1.07500 | + | 2.08086i | 0.0486629 | + | 0.0941963i | ||||
\(489\) | −4.94864 | + | 3.10944i | −0.223785 | + | 0.140614i | ||||
\(490\) | −1.67837 | − | 4.39687i | −0.0758212 | − | 0.198630i | ||||
\(491\) | −4.24904 | − | 3.79718i | −0.191757 | − | 0.171364i | 0.564937 | − | 0.825134i | \(-0.308901\pi\) |
−0.756693 | + | 0.653770i | \(0.773186\pi\) | |||||||
\(492\) | 0.141818 | + | 0.177834i | 0.00639363 | + | 0.00801735i | ||||
\(493\) | −14.9370 | + | 33.2819i | −0.672729 | + | 1.49894i | ||||
\(494\) | −4.08773 | + | 1.96855i | −0.183916 | + | 0.0885691i | ||||
\(495\) | −9.73506 | + | 10.8935i | −0.437558 | + | 0.489628i | ||||
\(496\) | −21.3153 | − | 1.79793i | −0.957087 | − | 0.0807294i | ||||
\(497\) | 13.6089 | + | 1.53335i | 0.610442 | + | 0.0687803i | ||||
\(498\) | 4.06621 | + | 15.7634i | 0.182211 | + | 0.706375i | ||||
\(499\) | −13.2899 | + | 12.5645i | −0.594939 | + | 0.562465i | −0.924265 | − | 0.381751i | \(-0.875321\pi\) |
0.329326 | + | 0.944216i | \(0.393178\pi\) | |||||||
\(500\) | −0.0710822 | + | 2.53347i | −0.00317889 | + | 0.113300i | ||||
\(501\) | 0.478504 | − | 0.137855i | 0.0213780 | − | 0.00615889i | ||||
\(502\) | −23.7735 | − | 26.6026i | −1.06107 | − | 1.18733i | ||||
\(503\) | 11.8283 | − | 5.29283i | 0.527398 | − | 0.235996i | −0.127329 | − | 0.991861i | \(-0.540640\pi\) |
0.654728 | + | 0.755865i | \(0.272783\pi\) | |||||||
\(504\) | −9.87768 | − | 16.7451i | −0.439987 | − | 0.745886i | ||||
\(505\) | 1.59880 | + | 1.89336i | 0.0711458 | + | 0.0842536i | ||||
\(506\) | −8.75073 | − | 13.9267i | −0.389018 | − | 0.619118i | ||||
\(507\) | −9.00726 | − | 0.759753i | −0.400027 | − | 0.0337418i | ||||
\(508\) | −0.480002 | − | 0.676500i | −0.0212967 | − | 0.0300148i | ||||
\(509\) | − | 8.34224i | − | 0.369763i | −0.982761 | − | 0.184882i | \(-0.940810\pi\) | ||
0.982761 | − | 0.184882i | \(-0.0591902\pi\) | |||||||
\(510\) | 5.40761 | + | 1.89893i | 0.239453 | + | 0.0840862i | ||||
\(511\) | −7.90711 | − | 34.6433i | −0.349790 | − | 1.53253i | ||||
\(512\) | 14.9376 | + | 8.25571i | 0.660154 | + | 0.364854i | ||||
\(513\) | 9.00791 | + | 5.31363i | 0.397709 | + | 0.234602i | ||||
\(514\) | −6.85480 | + | 2.39860i | −0.302352 | + | 0.105798i | ||||
\(515\) | −7.22042 | − | 1.43623i | −0.318170 | − | 0.0632879i | ||||
\(516\) | −0.774895 | + | 1.02655i | −0.0341129 | + | 0.0451912i | ||||
\(517\) | 2.00615 | + | 10.0856i | 0.0882304 | + | 0.443564i | ||||
\(518\) | −36.4036 | + | 32.5323i | −1.59948 | + | 1.42939i | ||||
\(519\) | 1.34195 | − | 0.0753624i | 0.0589052 | − | 0.00330804i | ||||
\(520\) | −2.89416 | − | 2.44390i | −0.126917 | − | 0.107172i | ||||
\(521\) | 10.1666 | + | 3.88081i | 0.445408 | + | 0.170021i | 0.569045 | − | 0.822306i | \(-0.307313\pi\) |
−0.123637 | + | 0.992328i | \(0.539456\pi\) | |||||||
\(522\) | 31.0099 | + | 6.16825i | 1.35727 | + | 0.269977i | ||||
\(523\) | 15.6296 | − | 15.6296i | 0.683434 | − | 0.683434i | −0.277339 | − | 0.960772i | \(-0.589452\pi\) |
0.960772 | + | 0.277339i | \(0.0894524\pi\) | |||||||
\(524\) | 3.64043 | − | 3.85060i | 0.159033 | − | 0.168214i | ||||
\(525\) | 2.44008 | − | 8.46972i | 0.106494 | − | 0.369649i | ||||
\(526\) | −24.0649 | − | 5.49266i | −1.04928 | − | 0.239492i | ||||
\(527\) | 18.5790 | − | 7.06837i | 0.809312 | − | 0.307903i | ||||
\(528\) | 7.86474 | − | 16.3313i | 0.342269 | − | 0.710729i | ||||
\(529\) | 15.1295 | − | 10.7350i | 0.657806 | − | 0.466738i | ||||
\(530\) | 2.64496 | + | 18.7351i | 0.114890 | + | 0.813801i | ||||
\(531\) | 1.62227 | + | 0.182786i | 0.0704005 | + | 0.00793224i | ||||
\(532\) | 1.75106 | + | 0.783549i | 0.0759181 | + | 0.0339712i | ||||
\(533\) | 0.974618 | + | 1.03089i | 0.0422154 | + | 0.0446527i | ||||
\(534\) | −0.446443 | + | 0.335983i | −0.0193195 | + | 0.0145394i | ||||
\(535\) | −9.49253 | + | 2.73475i | −0.410398 | + | 0.118234i | ||||
\(536\) | 0.00445085 | − | 0.00245990i | 0.000192248 | − | 0.000106251i | ||||
\(537\) | 8.07013 | − | 6.07340i | 0.348252 | − | 0.262086i | ||||
\(538\) | 3.92511 | − | 27.8029i | 0.169224 | − | 1.19867i | ||||
\(539\) | 10.5680 | − | 8.92391i | 0.455198 | − | 0.384380i | ||||
\(540\) | 0.139415 | − | 1.23734i | 0.00599945 | − | 0.0532466i | ||||
\(541\) | 1.26086 | − | 2.13746i | 0.0542084 | − | 0.0918966i | −0.832982 | − | 0.553300i | \(-0.813368\pi\) |
0.887190 | + | 0.461404i | \(0.152654\pi\) | |||||||
\(542\) | −18.8520 | + | 3.20309i | −0.809764 | + | 0.137584i | ||||
\(543\) | −2.37283 | + | 10.3961i | −0.101828 | + | 0.446138i | ||||
\(544\) | 5.77972 | + | 0.331010i | 0.247804 | + | 0.0141919i | ||||
\(545\) | 3.64510 | − | 7.56913i | 0.156139 | − | 0.324226i | ||||
\(546\) | −2.59320 | − | 3.65477i | −0.110979 | − | 0.156410i | ||||
\(547\) | 5.96956 | + | 42.2844i | 0.255240 | + | 1.80795i | 0.531710 | + | 0.846926i | \(0.321550\pi\) |
−0.276470 | + | 0.961023i | \(0.589165\pi\) | |||||||
\(548\) | 4.05373 | − | 0.456745i | 0.173167 | − | 0.0195112i | ||||
\(549\) | −0.868155 | + | 1.94014i | −0.0370520 | + | 0.0828030i | ||||
\(550\) | −26.8132 | + | 8.54615i | −1.14332 | + | 0.364409i | ||||
\(551\) | 19.9697 | − | 8.93586i | 0.850737 | − | 0.380680i | ||||
\(552\) | −4.02009 | − | 1.66518i | −0.171106 | − | 0.0708746i | ||||
\(553\) | 1.47701 | + | 0.611797i | 0.0628088 | + | 0.0260163i | ||||
\(554\) | −11.9235 | − | 26.6463i | −0.506579 | − | 1.13209i | ||||
\(555\) | 9.67163 | − | 0.815792i | 0.410538 | − | 0.0346285i | ||||
\(556\) | 1.04830 | − | 0.270413i | 0.0444580 | − | 0.0114681i | ||||
\(557\) | −14.3540 | − | 41.0214i | −0.608198 | − | 1.73813i | −0.672394 | − | 0.740194i | \(-0.734734\pi\) |
0.0641956 | − | 0.997937i | \(-0.479552\pi\) | |||||||
\(558\) | −9.57158 | − | 14.3249i | −0.405197 | − | 0.606420i | ||||
\(559\) | −4.27781 | + | 6.78619i | −0.180932 | + | 0.287025i | ||||
\(560\) | 16.2649i | 0.687319i | ||||||||
\(561\) | −0.0186723 | + | 16.8443i | −0.000788346 | + | 0.711169i | ||||
\(562\) | 7.29828 | + | 15.1550i | 0.307859 | + | 0.639276i | ||||
\(563\) | 12.5878 | − | 22.7759i | 0.530513 | − | 0.959891i | −0.466637 | − | 0.884449i | \(-0.654535\pi\) |
0.997150 | − | 0.0754422i | \(-0.0240368\pi\) | |||||||
\(564\) | −0.281904 | − | 0.266517i | −0.0118703 | − | 0.0112224i | ||||
\(565\) | 16.7028 | − | 16.7028i | 0.702692 | − | 0.702692i | ||||
\(566\) | 8.16907 | + | 1.62493i | 0.343372 | + | 0.0683009i | ||||
\(567\) | 4.23874 | − | 11.1043i | 0.178010 | − | 0.466338i | ||||
\(568\) | −10.2774 | − | 5.30943i | −0.431230 | − | 0.222779i | ||||
\(569\) | 18.5701 | − | 26.1722i | 0.778501 | − | 1.09719i | −0.214223 | − | 0.976785i | \(-0.568722\pi\) |
0.992724 | − | 0.120410i | \(-0.0384208\pi\) | |||||||
\(570\) | −1.66263 | − | 3.00830i | −0.0696399 | − | 0.126004i | ||||
\(571\) | 9.71660 | − | 37.6682i | 0.406627 | − | 1.57636i | −0.359164 | − | 0.933274i | \(-0.616938\pi\) |
0.765792 | − | 0.643089i | \(-0.222347\pi\) | |||||||
\(572\) | −0.566166 | + | 1.48320i | −0.0236726 | + | 0.0620156i | ||||
\(573\) | 0.841405 | + | 0.633222i | 0.0351502 | + | 0.0264532i | ||||
\(574\) | 0.605292 | − | 5.37212i | 0.0252644 | − | 0.224228i | ||||
\(575\) | 2.71466 | + | 7.11164i | 0.113209 | + | 0.296576i | ||||
\(576\) | 2.70100 | + | 15.8969i | 0.112542 | + | 0.662372i | ||||
\(577\) | 31.1888 | − | 15.0197i | 1.29841 | − | 0.625280i | 0.348353 | − | 0.937363i | \(-0.386741\pi\) |
0.950055 | + | 0.312083i | \(0.101027\pi\) | |||||||
\(578\) | −23.5785 | + | 9.70533i | −0.980735 | + | 0.403689i | ||||
\(579\) | −2.61261 | − | 2.08349i | −0.108576 | − | 0.0865868i | ||||
\(580\) | −1.94222 | − | 1.73568i | −0.0806464 | − | 0.0720700i | ||||
\(581\) | 21.8126 | − | 36.9777i | 0.904938 | − | 1.53409i | ||||
\(582\) | 1.19071 | + | 10.5678i | 0.0493564 | + | 0.438050i | ||||
\(583\) | −49.4050 | + | 25.5232i | −2.04615 | + | 1.05706i | ||||
\(584\) | −4.19579 | + | 29.7202i | −0.173623 | + | 1.22983i | ||||
\(585\) | 0.0964129 | − | 3.43629i | 0.00398618 | − | 0.142073i | ||||
\(586\) | 15.1826 | + | 10.7726i | 0.627186 | + | 0.445012i | ||||
\(587\) | −5.39008 | − | 18.7094i | −0.222472 | − | 0.772218i | −0.991169 | − | 0.132605i | \(-0.957666\pi\) |
0.768697 | − | 0.639613i | \(-0.220906\pi\) | |||||||
\(588\) | −0.130339 | + | 0.505282i | −0.00537508 | + | 0.0208375i | ||||
\(589\) | −11.1374 | − | 4.25138i | −0.458909 | − | 0.175175i | ||||
\(590\) | −0.968504 | − | 0.728874i | −0.0398727 | − | 0.0300073i | ||||
\(591\) | −1.03460 | − | 9.18234i | −0.0425578 | − | 0.377711i | ||||
\(592\) | 43.4116 | − | 16.5711i | 1.78420 | − | 0.681067i | ||||
\(593\) | −37.9038 | − | 10.9199i | −1.55652 | − | 0.448427i | −0.615885 | − | 0.787836i | \(-0.711201\pi\) |
−0.940639 | + | 0.339409i | \(0.889773\pi\) | |||||||
\(594\) | 32.1546 | − | 7.33908i | 1.31932 | − | 0.301126i | ||||
\(595\) | −6.54287 | − | 13.6250i | −0.268231 | − | 0.558571i | ||||
\(596\) | 0.234180i | 0.00959238i | ||||||||
\(597\) | −0.0535772 | + | 0.0380151i | −0.00219277 | + | 0.00155585i | ||||
\(598\) | 3.68739 | + | 1.17528i | 0.150789 | + | 0.0480606i | ||||
\(599\) | 11.2935 | − | 32.2748i | 0.461438 | − | 1.31871i | −0.444680 | − | 0.895689i | \(-0.646683\pi\) |
0.906118 | − | 0.423024i | \(-0.139032\pi\) | |||||||
\(600\) | −4.47689 | + | 5.94874i | −0.182768 | + | 0.242856i | ||||
\(601\) | 34.6205 | + | 23.1327i | 1.41220 | + | 0.943602i | 0.999464 | + | 0.0327508i | \(0.0104268\pi\) |
0.412736 | + | 0.910851i | \(0.364573\pi\) | |||||||
\(602\) | 30.2754 | − | 4.22932i | 1.23393 | − | 0.172374i | ||||
\(603\) | 0.00426375 | + | 0.00176610i | 0.000173633 | + | 7.19212e-5i | ||||
\(604\) | 1.36174 | + | 1.52379i | 0.0554083 | + | 0.0620020i | ||||
\(605\) | 11.3689 | + | 15.1066i | 0.462211 | + | 0.614171i | ||||
\(606\) | −0.208135 | − | 2.46755i | −0.00845491 | − | 0.100237i | ||||
\(607\) | 3.47538 | − | 0.0975098i | 0.141061 | − | 0.00395780i | 0.0425543 | − | 0.999094i | \(-0.486450\pi\) |
0.0985070 | + | 0.995136i | \(0.468593\pi\) | |||||||
\(608\) | −2.45499 | − | 2.45499i | −0.0995630 | − | 0.0995630i | ||||
\(609\) | 12.0053 | + | 17.9673i | 0.486481 | + | 0.728070i | ||||
\(610\) | 1.28709 | − | 0.913236i | 0.0521126 | − | 0.0369758i | ||||
\(611\) | −1.89175 | − | 1.50862i | −0.0765318 | − | 0.0610321i | ||||
\(612\) | 1.41671 | + | 2.00136i | 0.0572671 | + | 0.0809003i | ||||
\(613\) | 20.6920 | − | 25.9470i | 0.835743 | − | 1.04799i | −0.162379 | − | 0.986728i | \(-0.551917\pi\) |
0.998122 | − | 0.0612601i | \(-0.0195119\pi\) | |||||||
\(614\) | −24.3773 | − | 1.36900i | −0.983789 | − | 0.0552484i | ||||
\(615\) | −0.738354 | + | 0.780983i | −0.0297733 | + | 0.0314923i | ||||
\(616\) | −40.0434 | + | 14.0118i | −1.61339 | + | 0.564551i | ||||
\(617\) | −5.00837 | + | 2.58739i | −0.201629 | + | 0.104164i | −0.556832 | − | 0.830625i | \(-0.687983\pi\) |
0.355203 | + | 0.934789i | \(0.384412\pi\) | |||||||
\(618\) | 5.05392 | + | 5.34571i | 0.203299 | + | 0.215036i | ||||
\(619\) | 13.2979 | + | 0.373104i | 0.534489 | + | 0.0149963i | 0.294270 | − | 0.955722i | \(-0.404923\pi\) |
0.240219 | + | 0.970719i | \(0.422781\pi\) | |||||||
\(620\) | 0.0795831 | + | 1.41711i | 0.00319614 | + | 0.0569125i | ||||
\(621\) | −2.46968 | − | 8.57246i | −0.0991049 | − | 0.344001i | ||||
\(622\) | −18.6884 | − | 9.65465i | −0.749336 | − | 0.387116i | ||||
\(623\) | 1.45904 | + | 0.205983i | 0.0584554 | + | 0.00825252i | ||||
\(624\) | 1.06533 | + | 4.12995i | 0.0426474 | + | 0.165330i | ||||
\(625\) | 6.03099 | − | 0.679529i | 0.241240 | − | 0.0271812i | ||||
\(626\) | 5.74699 | + | 1.83173i | 0.229696 | + | 0.0732107i | ||||
\(627\) | 6.73134 | − | 7.53237i | 0.268824 | − | 0.300814i | ||||
\(628\) | 0.865189 | − | 3.79064i | 0.0345248 | − | 0.151263i | ||||
\(629\) | −29.6995 | + | 31.3445i | −1.18420 | + | 1.24979i | ||||
\(630\) | −10.2419 | + | 8.16760i | −0.408045 | + | 0.325405i | ||||
\(631\) | 10.3417 | + | 0.580776i | 0.411695 | + | 0.0231203i | 0.260714 | − | 0.965416i | \(-0.416042\pi\) |
0.150982 | + | 0.988537i | \(0.451756\pi\) | |||||||
\(632\) | −0.981271 | − | 0.927710i | −0.0390329 | − | 0.0369023i | ||||
\(633\) | 5.51662 | − | 1.93035i | 0.219266 | − | 0.0767244i | ||||
\(634\) | −8.24312 | + | 6.96069i | −0.327376 | + | 0.276444i | ||||
\(635\) | 2.84808 | − | 2.69262i | 0.113023 | − | 0.106854i | ||||
\(636\) | 0.962894 | − | 1.86386i | 0.0381812 | − | 0.0739069i | ||||
\(637\) | −0.545171 | + | 3.20864i | −0.0216004 | + | 0.127131i | ||||
\(638\) | 26.4029 | − | 63.7422i | 1.04530 | − | 2.52358i | ||||
\(639\) | −2.04805 | − | 10.2962i | −0.0810194 | − | 0.407312i | ||||
\(640\) | 5.45075 | − | 14.2794i | 0.215460 | − | 0.564444i | ||||
\(641\) | −24.0167 | + | 12.4073i | −0.948601 | + | 0.490059i | −0.862405 | − | 0.506219i | \(-0.831043\pi\) |
−0.0861962 | + | 0.996278i | \(0.527471\pi\) | |||||||
\(642\) | 9.31751 | + | 3.26034i | 0.367733 | + | 0.128675i | ||||
\(643\) | −31.6135 | + | 4.46308i | −1.24671 | + | 0.176007i | −0.731970 | − | 0.681337i | \(-0.761399\pi\) |
−0.514744 | + | 0.857344i | \(0.672113\pi\) | |||||||
\(644\) | −0.626223 | − | 1.51184i | −0.0246767 | − | 0.0595747i | ||||
\(645\) | −5.31473 | − | 2.94744i | −0.209267 | − | 0.116055i | ||||
\(646\) | 14.4278 | + | 5.06645i | 0.567653 | + | 0.199337i | ||||
\(647\) | −0.542075 | + | 1.12563i | −0.0213112 | + | 0.0442531i | −0.911353 | − | 0.411626i | \(-0.864961\pi\) |
0.890042 | + | 0.455879i | \(0.150675\pi\) | |||||||
\(648\) | −6.68990 | + | 7.48600i | −0.262804 | + | 0.294078i | ||||
\(649\) | 1.08183 | − | 3.39421i | 0.0424656 | − | 0.133234i | ||||
\(650\) | 3.52305 | − | 5.60690i | 0.138185 | − | 0.219921i | ||||
\(651\) | 2.29715 | − | 11.5486i | 0.0900324 | − | 0.452624i | ||||
\(652\) | 1.54365 | + | 1.03144i | 0.0604541 | + | 0.0403941i | ||||
\(653\) | 13.9014 | + | 31.0667i | 0.544005 | + | 1.21573i | 0.952937 | + | 0.303168i | \(0.0980443\pi\) |
−0.408932 | + | 0.912565i | \(0.634099\pi\) | |||||||
\(654\) | −7.34751 | + | 4.06083i | −0.287311 | + | 0.158791i | ||||
\(655\) | 20.4203 | + | 14.4890i | 0.797889 | + | 0.566132i | ||||
\(656\) | −2.36162 | + | 4.57135i | −0.0922056 | + | 0.178481i | ||||
\(657\) | −23.4612 | + | 13.8394i | −0.915307 | + | 0.539926i | ||||
\(658\) | 0.258601 | + | 9.21688i | 0.0100813 | + | 0.359311i | ||||
\(659\) | 13.1367 | + | 37.5426i | 0.511735 | + | 1.46245i | 0.852712 | + | 0.522382i | \(0.174957\pi\) |
−0.340977 | + | 0.940072i | \(0.610758\pi\) | |||||||
\(660\) | −1.14593 | − | 0.365240i | −0.0446051 | − | 0.0142169i | ||||
\(661\) | −3.19636 | − | 18.8124i | −0.124324 | − | 0.731719i | −0.977634 | − | 0.210315i | \(-0.932551\pi\) |
0.853310 | − | 0.521404i | \(-0.174592\pi\) | |||||||
\(662\) | −3.59514 | − | 0.820568i | −0.139729 | − | 0.0318923i | ||||
\(663\) | −2.55377 | − | 3.03108i | −0.0991800 | − | 0.117717i | ||||
\(664\) | −28.3519 | + | 22.6099i | −1.10027 | + | 0.877433i | ||||
\(665\) | −2.50937 | + | 8.71021i | −0.0973092 | + | 0.337768i | ||||
\(666\) | 32.2342 | + | 19.0144i | 1.24905 | + | 0.736795i | ||||
\(667\) | −17.6148 | − | 6.16369i | −0.682048 | − | 0.238659i | ||||
\(668\) | −0.102055 | − | 0.120857i | −0.00394862 | − | 0.00467611i | ||||
\(669\) | 15.5706 | − | 1.31337i | 0.601995 | − | 0.0507777i | ||||
\(670\) | −0.00206047 | − | 0.00273788i | −7.96029e−5 | − | 0.000105774i | ||||
\(671\) | 3.78274 | + | 2.68400i | 0.146031 | + | 0.103615i | ||||
\(672\) | 1.98440 | − | 2.79675i | 0.0765498 | − | 0.107887i | ||||
\(673\) | −5.17142 | + | 6.12420i | −0.199344 | + | 0.236070i | −0.854537 | − | 0.519391i | \(-0.826159\pi\) |
0.655193 | + | 0.755462i | \(0.272587\pi\) | |||||||
\(674\) | 19.3652 | − | 11.4232i | 0.745920 | − | 0.440007i | ||||
\(675\) | −15.2581 | + | 0.428101i | −0.587285 | + | 0.0164776i | ||||
\(676\) | 0.948358 | + | 2.71025i | 0.0364753 | + | 0.104240i | ||||
\(677\) | 9.87287 | + | 0.832766i | 0.379445 | + | 0.0320058i | 0.272236 | − | 0.962231i | \(-0.412237\pi\) |
0.107210 | + | 0.994236i | \(0.465808\pi\) | |||||||
\(678\) | −23.2707 | + | 3.95386i | −0.893707 | + | 0.151847i | ||||
\(679\) | 17.4862 | − | 21.9270i | 0.671058 | − | 0.841480i | ||||
\(680\) | 1.05896 | + | 12.7229i | 0.0406093 | + | 0.487901i | ||||
\(681\) | −12.7564 | −0.488825 | ||||||||
\(682\) | −34.7332 | + | 14.3870i | −1.33000 | + | 0.550906i | ||||
\(683\) | 27.6185 | − | 29.2131i | 1.05679 | − | 1.11781i | 0.0640034 | − | 0.997950i | \(-0.479613\pi\) |
0.992791 | − | 0.119858i | \(-0.0382440\pi\) | |||||||
\(684\) | 0.164648 | − | 1.46129i | 0.00629546 | − | 0.0558737i | ||||
\(685\) | 4.81454 | + | 18.6644i | 0.183954 | + | 0.713131i | ||||
\(686\) | −17.4244 | + | 10.2784i | −0.665267 | + | 0.392431i | ||||
\(687\) | 17.3641 | − | 3.45394i | 0.662482 | − | 0.131776i | ||||
\(688\) | −28.3559 | − | 6.51541i | −1.08106 | − | 0.248398i | ||||
\(689\) | 5.00728 | − | 12.0886i | 0.190762 | − | 0.460541i | ||||
\(690\) | −0.732336 | + | 2.83903i | −0.0278795 | + | 0.108080i | ||||
\(691\) | −2.76075 | + | 19.5553i | −0.105024 | + | 0.743920i | 0.865151 | + | 0.501512i | \(0.167223\pi\) |
−0.970175 | + | 0.242407i | \(0.922063\pi\) | |||||||
\(692\) | −0.195964 | − | 0.379324i | −0.00744942 | − | 0.0144197i | ||||
\(693\) | −32.5991 | − | 20.4834i | −1.23834 | − | 0.778100i | ||||
\(694\) | 41.4019 | − | 27.6639i | 1.57159 | − | 1.05011i | ||||
\(695\) | 1.95761 | + | 4.72608i | 0.0742562 | + | 0.179270i | ||||
\(696\) | −4.06159 | − | 17.7950i | −0.153954 | − | 0.674517i | ||||
\(697\) | 0.139399 | − | 4.77939i | 0.00528012 | − | 0.181032i | ||||
\(698\) | −2.50388 | + | 10.9702i | −0.0947731 | + | 0.415228i | ||||
\(699\) | −5.48352 | − | 1.57978i | −0.207406 | − | 0.0597526i | ||||
\(700\) | −2.77240 | + | 0.391398i | −0.104787 | + | 0.0147935i | ||||
\(701\) | −1.46244 | − | 0.918912i | −0.0552356 | − | 0.0347068i | 0.504131 | − | 0.863627i | \(-0.331813\pi\) |
−0.559367 | + | 0.828920i | \(0.688956\pi\) | |||||||
\(702\) | −4.66655 | + | 6.20076i | −0.176128 | + | 0.234033i | ||||
\(703\) | 25.8044 | − | 2.17657i | 0.973231 | − | 0.0820911i | ||||
\(704\) | 35.1729 | + | 0.986855i | 1.32563 | + | 0.0371935i | ||||
\(705\) | 1.06075 | − | 1.49498i | 0.0399500 | − | 0.0563043i | ||||
\(706\) | 54.2497 | − | 3.04660i | 2.04171 | − | 0.114660i | ||||
\(707\) | −4.21328 | + | 4.98953i | −0.158457 | + | 0.187651i | ||||
\(708\) | 0.0408133 | + | 0.128050i | 0.00153386 | + | 0.00481243i | ||||
\(709\) | −19.2717 | + | 4.97118i | −0.723763 | + | 0.186697i | −0.593559 | − | 0.804791i | \(-0.702278\pi\) |
−0.130204 | + | 0.991487i | \(0.541563\pi\) | |||||||
\(710\) | −2.57437 | + | 7.35713i | −0.0966145 | + | 0.276108i | ||||
\(711\) | 0.103003 | − | 1.22115i | 0.00386291 | − | 0.0457968i | ||||
\(712\) | −1.08934 | − | 0.602055i | −0.0408246 | − | 0.0225630i | ||||
\(713\) | 4.41216 | + | 9.16195i | 0.165237 | + | 0.343118i | ||||
\(714\) | −2.54646 | + | 14.8874i | −0.0952987 | + | 0.557148i | ||||
\(715\) | −7.31338 | − | 1.66923i | −0.273505 | − | 0.0624257i | ||||
\(716\) | −2.80806 | − | 1.55196i | −0.104942 | − | 0.0579994i | ||||
\(717\) | −18.7211 | + | 2.64298i | −0.699153 | + | 0.0987040i | ||||
\(718\) | 2.19160 | − | 3.48791i | 0.0817897 | − | 0.130168i | ||||
\(719\) | 30.0318 | − | 39.9053i | 1.12000 | − | 1.48822i | 0.268930 | − | 0.963160i | \(-0.413330\pi\) |
0.851067 | − | 0.525057i | \(-0.175956\pi\) | |||||||
\(720\) | 11.8791 | − | 3.78622i | 0.442709 | − | 0.141104i | ||||
\(721\) | 0.544113 | − | 19.3929i | 0.0202638 | − | 0.722230i | ||||
\(722\) | 9.34882 | + | 16.9154i | 0.347927 | + | 0.629526i | ||||
\(723\) | −13.9849 | − | 2.37612i | −0.520103 | − | 0.0883690i | ||||
\(724\) | 3.32223 | − | 0.660832i | 0.123470 | − | 0.0245596i | ||||
\(725\) | −17.7399 | + | 26.5496i | −0.658843 | + | 0.986028i | ||||
\(726\) | −0.529877 | − | 18.8855i | −0.0196656 | − | 0.700908i | ||||
\(727\) | 36.4424 | + | 4.10608i | 1.35157 | + | 0.152286i | 0.757875 | − | 0.652400i | \(-0.226238\pi\) |
0.593700 | + | 0.804686i | \(0.297666\pi\) | |||||||
\(728\) | 5.07180 | − | 8.59795i | 0.187973 | − | 0.318661i | ||||
\(729\) | 0.858059 | + | 0.0481876i | 0.0317800 | + | 0.00178472i | ||||
\(730\) | 20.2244 | 0.748538 | ||||||||
\(731\) | 26.3745 | − | 5.94876i | 0.975495 | − | 0.220023i | ||||
\(732\) | −0.174982 | −0.00646751 | ||||||||
\(733\) | 37.6777 | + | 2.11594i | 1.39166 | + | 0.0781539i | 0.736040 | − | 0.676938i | \(-0.236693\pi\) |
0.655619 | + | 0.755092i | \(0.272408\pi\) | |||||||
\(734\) | 18.5116 | − | 31.3817i | 0.683275 | − | 1.15832i | ||||
\(735\) | −2.45015 | − | 0.276065i | −0.0903751 | − | 0.0101828i | ||||
\(736\) | 0.0830608 | + | 2.96040i | 0.00306166 | + | 0.109122i | ||||
\(737\) | 0.00559500 | − | 0.00837352i | 0.000206095 | − | 0.000308442i | ||||
\(738\) | −4.06444 | + | 0.808466i | −0.149614 | + | 0.0297601i | ||||
\(739\) | −19.4208 | − | 3.29972i | −0.714404 | − | 0.121382i | −0.201077 | − | 0.979575i | \(-0.564444\pi\) |
−0.513327 | + | 0.858193i | \(0.671587\pi\) | |||||||
\(740\) | −1.49139 | − | 2.69847i | −0.0548246 | − | 0.0991976i | ||||
\(741\) | −0.0666650 | + | 2.37603i | −0.00244900 | + | 0.0872857i | ||||
\(742\) | −47.5070 | + | 15.1418i | −1.74404 | + | 0.555875i | ||||
\(743\) | −11.4485 | + | 15.2123i | −0.420004 | + | 0.558087i | −0.958702 | − | 0.284411i | \(-0.908202\pi\) |
0.538699 | + | 0.842498i | \(0.318916\pi\) | |||||||
\(744\) | −5.29153 | + | 8.42142i | −0.193997 | + | 0.308744i | ||||
\(745\) | −1.09565 | + | 0.154681i | −0.0401417 | + | 0.00566706i | ||||
\(746\) | −27.8606 | − | 15.3980i | −1.02005 | − | 0.563761i | ||||
\(747\) | −32.0843 | − | 7.32304i | −1.17390 | − | 0.267936i | ||||
\(748\) | 4.88648 | − | 2.18006i | 0.178667 | − | 0.0797109i | ||||
\(749\) | −11.2952 | − | 23.4548i | −0.412719 | − | 0.857020i | ||||
\(750\) | 10.4737 | + | 5.78860i | 0.382445 | + | 0.211370i | ||||
\(751\) | −0.0251403 | + | 0.298051i | −0.000917381 | + | 0.0108760i | −0.996905 | − | 0.0786113i | \(-0.974951\pi\) |
0.995988 | + | 0.0894873i | \(0.0285228\pi\) | |||||||
\(752\) | 2.89844 | − | 8.28327i | 0.105695 | − | 0.302060i | ||||
\(753\) | −18.0991 | + | 4.66870i | −0.659567 | + | 0.170137i | ||||
\(754\) | 4.92997 | + | 15.4676i | 0.179539 | + | 0.563297i | ||||
\(755\) | −6.22986 | + | 7.37764i | −0.226728 | + | 0.268500i | ||||
\(756\) | 3.27620 | − | 0.183987i | 0.119154 | − | 0.00669155i | ||||
\(757\) | −13.6382 | + | 19.2212i | −0.495688 | + | 0.698607i | −0.984815 | − | 0.173605i | \(-0.944458\pi\) |
0.489127 | + | 0.872212i | \(0.337315\pi\) | |||||||
\(758\) | 5.08496 | + | 0.142670i | 0.184694 | + | 0.00518202i | ||||
\(759\) | −8.58654 | + | 0.724266i | −0.311672 | + | 0.0262892i | ||||
\(760\) | 4.60401 | − | 6.11766i | 0.167005 | − | 0.221911i | ||||
\(761\) | −11.7050 | − | 7.35474i | −0.424306 | − | 0.266609i | 0.302908 | − | 0.953020i | \(-0.402042\pi\) |
−0.727214 | + | 0.686411i | \(0.759185\pi\) | |||||||
\(762\) | −3.87812 | + | 0.547499i | −0.140489 | + | 0.0198338i | ||||
\(763\) | 21.2739 | + | 6.12892i | 0.770168 | + | 0.221882i | ||||
\(764\) | 0.0744359 | − | 0.326125i | 0.00269300 | − | 0.0117988i | ||||
\(765\) | −8.42798 | + | 7.95028i | −0.304714 | + | 0.287443i | ||||
\(766\) | 6.43412 | + | 28.1897i | 0.232474 | + | 1.01854i | ||||
\(767\) | 0.320782 | + | 0.774435i | 0.0115827 | + | 0.0279632i | ||||
\(768\) | −3.85561 | + | 2.57624i | −0.139127 | + | 0.0929620i | ||||
\(769\) | 10.0311 | + | 6.30298i | 0.361732 | + | 0.227291i | 0.700619 | − | 0.713536i | \(-0.252907\pi\) |
−0.338887 | + | 0.940827i | \(0.610050\pi\) | |||||||
\(770\) | 13.1204 | + | 25.3969i | 0.472825 | + | 0.915242i | ||||
\(771\) | −0.531869 | + | 3.76740i | −0.0191548 | + | 0.135680i | ||||
\(772\) | −0.265138 | + | 1.02786i | −0.00954253 | + | 0.0369933i | ||||
\(773\) | 14.0535 | − | 33.9281i | 0.505468 | − | 1.22031i | −0.440999 | − | 0.897507i | \(-0.645376\pi\) |
0.946467 | − | 0.322800i | \(-0.104624\pi\) | |||||||
\(774\) | −10.1365 | − | 21.1272i | −0.364350 | − | 0.759400i | ||||
\(775\) | 17.0649 | − | 3.39442i | 0.612990 | − | 0.121931i | ||||
\(776\) | −20.4040 | + | 12.0360i | −0.732462 | + | 0.432068i | ||||
\(777\) | 6.38876 | + | 24.7672i | 0.229195 | + | 0.888517i | ||||
\(778\) | 2.94678 | − | 26.1534i | 0.105647 | − | 0.937645i | ||||
\(779\) | −1.96997 | + | 2.08370i | −0.0705813 | + | 0.0746563i | ||||
\(780\) | 0.261459 | − | 0.108300i | 0.00936173 | − | 0.00387776i | ||||
\(781\) | −22.9081 | −0.819717 | ||||||||
\(782\) | −5.97404 | − | 11.5954i | −0.213631 | − | 0.414650i | ||||
\(783\) | 23.3321 | − | 29.2575i | 0.833820 | − | 1.04558i | ||||
\(784\) | −11.6374 | + | 1.97727i | −0.415621 | + | 0.0706169i | ||||
\(785\) | 18.3067 | + | 1.54415i | 0.653394 | + | 0.0551131i | ||||
\(786\) | −8.26367 | − | 23.6162i | −0.294755 | − | 0.842363i | ||||
\(787\) | −1.37384 | + | 0.0385462i | −0.0489720 | + | 0.00137402i | −0.0525239 | − | 0.998620i | \(-0.516727\pi\) |
0.00355182 | + | 0.999994i | \(0.498869\pi\) | |||||||
\(788\) | −2.52821 | + | 1.49135i | −0.0900636 | + | 0.0531272i | ||||
\(789\) | −8.34331 | + | 9.88047i | −0.297030 | + | 0.351754i | ||||
\(790\) | −0.526536 | + | 0.742083i | −0.0187333 | + | 0.0264021i | ||||
\(791\) | 50.7676 | + | 36.0215i | 1.80509 | + | 1.28078i | ||||
\(792\) | 19.5550 | + | 25.9840i | 0.694856 | + | 0.923302i | ||||
\(793\) | −1.08751 | + | 0.0917301i | −0.0386185 | + | 0.00325743i | ||||
\(794\) | −28.8393 | − | 34.1526i | −1.02347 | − | 1.21203i | ||||
\(795\) | 9.35644 | + | 3.27396i | 0.331839 | + | 0.116115i | ||||
\(796\) | 0.0179740 | + | 0.0106026i | 0.000637070 | + | 0.000375798i | ||||
\(797\) | 7.26214 | − | 25.2075i | 0.257238 | − | 0.892894i | −0.722291 | − | 0.691590i | \(-0.756911\pi\) |
0.979529 | − | 0.201304i | \(-0.0645179\pi\) | |||||||
\(798\) | 7.08176 | − | 5.64752i | 0.250692 | − | 0.199920i | ||||
\(799\) | 0.904093 | + | 8.10478i | 0.0319845 | + | 0.286727i | ||||
\(800\) | 4.94021 | + | 1.12757i | 0.174663 | + | 0.0398657i | ||||
\(801\) | −0.189202 | − | 1.11356i | −0.00668513 | − | 0.0393459i | ||||
\(802\) | 35.5884 | + | 11.3430i | 1.25667 | + | 0.400537i | ||||
\(803\) | 19.6316 | + | 56.1038i | 0.692783 | + | 1.97986i | ||||
\(804\) | 1.06556e−5 | 0 | 0.000379781i | 3.75795e−7 | 0 | 1.33938e-5i | ||||
\(805\) | 6.65978 | − | 3.92850i | 0.234726 | − | 0.138462i | ||||
\(806\) | 4.06020 | − | 7.85927i | 0.143014 | − | 0.276831i | ||||
\(807\) | −11.9973 | − | 8.51251i | −0.422324 | − | 0.299655i | ||||
\(808\) | 4.82785 | − | 2.66826i | 0.169843 | − | 0.0938690i | ||||
\(809\) | −3.16247 | − | 7.06743i | −0.111187 | − | 0.248478i | 0.848695 | − | 0.528882i | \(-0.177389\pi\) |
−0.959882 | + | 0.280404i | \(0.909531\pi\) | |||||||
\(810\) | 5.62476 | + | 3.75834i | 0.197634 | + | 0.132055i | ||||
\(811\) | 1.82475 | − | 9.17363i | 0.0640756 | − | 0.322130i | −0.935432 | − | 0.353507i | \(-0.884989\pi\) |
0.999508 | + | 0.0313769i | \(0.00998922\pi\) | |||||||
\(812\) | 3.65201 | − | 5.81214i | 0.128160 | − | 0.203966i | ||||
\(813\) | −3.04229 | + | 9.54508i | −0.106698 | + | 0.334760i | ||||
\(814\) | 54.4178 | − | 60.8936i | 1.90734 | − | 2.13432i | ||||
\(815\) | −3.80615 | + | 7.90355i | −0.133324 | + | 0.276849i | ||||
\(816\) | 7.31734 | − | 12.3733i | 0.256158 | − | 0.433153i | ||||
\(817\) | −14.1800 | − | 7.86391i | −0.496094 | − | 0.275123i | ||||
\(818\) | −12.4449 | − | 30.0446i | −0.435125 | − | 1.05048i | ||||
\(819\) | 8.97017 | − | 1.26638i | 0.313443 | − | 0.0442508i | ||||
\(820\) | 0.322246 | + | 0.112759i | 0.0112533 | + | 0.00393770i | ||||
\(821\) | −33.4211 | + | 17.2657i | −1.16640 | + | 0.602579i | −0.929452 | − | 0.368942i | \(-0.879720\pi\) |
−0.236952 | + | 0.971521i | \(0.576149\pi\) | |||||||
\(822\) | 6.86904 | − | 17.9950i | 0.239585 | − | 0.627647i | ||||
\(823\) | −8.22097 | − | 41.3296i | −0.286565 | − | 1.44066i | −0.808913 | − | 0.587928i | \(-0.799944\pi\) |
0.522348 | − | 0.852732i | \(-0.325056\pi\) | |||||||
\(824\) | −6.27110 | + | 15.1398i | −0.218464 | + | 0.527419i | ||||
\(825\) | −2.46968 | + | 14.5355i | −0.0859832 | + | 0.506061i | ||||
\(826\) | 1.46612 | − | 2.83796i | 0.0510129 | − | 0.0987451i | ||||
\(827\) | −21.5588 | + | 20.3820i | −0.749672 | + | 0.708753i | −0.963379 | − | 0.268145i | \(-0.913589\pi\) |
0.213706 | + | 0.976898i | \(0.431446\pi\) | |||||||
\(828\) | −0.958398 | + | 0.809295i | −0.0333066 | + | 0.0281249i | ||||
\(829\) | 12.8113 | − | 4.48287i | 0.444955 | − | 0.155696i | −0.0984960 | − | 0.995137i | \(-0.531403\pi\) |
0.543451 | + | 0.839441i | \(0.317117\pi\) | |||||||
\(830\) | 17.7557 | + | 16.7866i | 0.616310 | + | 0.582670i | ||||
\(831\) | −15.2699 | − | 0.857540i | −0.529707 | − | 0.0297477i | ||||
\(832\) | −6.47312 | + | 5.16214i | −0.224415 | + | 0.178965i | ||||
\(833\) | 8.95316 | − | 6.33770i | 0.310209 | − | 0.219588i | ||||
\(834\) | 1.13747 | − | 4.98360i | 0.0393875 | − | 0.172568i | ||||
\(835\) | 0.498044 | − | 0.557311i | 0.0172355 | − | 0.0192866i | ||||
\(836\) | −3.05739 | − | 0.974478i | −0.105742 | − | 0.0337030i | ||||
\(837\) | −20.2630 | + | 2.28309i | −0.700391 | + | 0.0789151i | ||||
\(838\) | 13.3187 | + | 51.6324i | 0.460087 | + | 1.78361i | ||||
\(839\) | 38.2880 | + | 5.40536i | 1.32185 | + | 0.186614i | 0.765016 | − | 0.644012i | \(-0.222731\pi\) |
0.556831 | + | 0.830626i | \(0.312017\pi\) | |||||||
\(840\) | 6.71885 | + | 3.47104i | 0.231822 | + | 0.119762i | ||||
\(841\) | −13.6431 | − | 47.3563i | −0.470453 | − | 1.63298i | ||||
\(842\) | −2.23099 | − | 39.7265i | −0.0768851 | − | 1.36907i | ||||
\(843\) | 8.80901 | + | 0.247157i | 0.303398 | + | 0.00851254i | ||||
\(844\) | −1.27546 | − | 1.34910i | −0.0439033 | − | 0.0464380i | ||||
\(845\) | −12.0540 | + | 6.22725i | −0.414670 | + | 0.214224i | ||||
\(846\) | 6.67136 | − | 2.33441i | 0.229366 | − | 0.0802587i | ||||
\(847\) | −34.2291 | + | 36.2053i | −1.17613 | + | 1.24403i | ||||
\(848\) | 47.3819 | + | 2.66091i | 1.62710 | + | 0.0913760i | ||||
\(849\) | 2.72069 | − | 3.41164i | 0.0933738 | − | 0.117087i | ||||
\(850\) | −21.7641 | + | 4.94213i | −0.746501 | + | 0.169514i | ||||
\(851\) | −17.2704 | − | 13.7727i | −0.592022 | − | 0.472122i | ||||
\(852\) | 0.704836 | − | 0.500108i | 0.0241473 | − | 0.0171334i | ||||
\(853\) | 21.8912 | + | 32.7626i | 0.749542 | + | 1.12177i | 0.988571 | + | 0.150756i | \(0.0481709\pi\) |
−0.239029 | + | 0.971012i | \(0.576829\pi\) | |||||||
\(854\) | 2.94077 | + | 2.94077i | 0.100631 | + | 0.100631i | ||||
\(855\) | 6.94566 | − | 0.194876i | 0.237537 | − | 0.00666463i | ||||
\(856\) | 1.84821 | + | 21.9115i | 0.0631706 | + | 0.748920i | ||||
\(857\) | 12.2335 | + | 16.2555i | 0.417888 | + | 0.555276i | 0.958167 | − | 0.286210i | \(-0.0923954\pi\) |
−0.540279 | + | 0.841486i | \(0.681681\pi\) | |||||||
\(858\) | 4.99495 | + | 5.58935i | 0.170525 | + | 0.190817i | ||||
\(859\) | 11.9132 | + | 4.93462i | 0.406474 | + | 0.168367i | 0.576546 | − | 0.817065i | \(-0.304400\pi\) |
−0.170072 | + | 0.985432i | \(0.554400\pi\) | |||||||
\(860\) | −0.165055 | + | 1.92343i | −0.00562831 | + | 0.0655886i | ||||
\(861\) | −2.35495 | − | 1.57353i | −0.0802565 | − | 0.0536257i | ||||
\(862\) | 2.40699 | − | 3.19833i | 0.0819823 | − | 0.108935i | ||||
\(863\) | 8.66512 | − | 24.7635i | 0.294964 | − | 0.842959i | −0.697072 | − | 0.717001i | \(-0.745514\pi\) |
0.992036 | − | 0.125957i | \(-0.0402002\pi\) | |||||||
\(864\) | −5.65817 | − | 1.80342i | −0.192495 | − | 0.0613536i | ||||
\(865\) | 1.64530 | − | 1.16740i | 0.0559419 | − | 0.0396929i | ||||
\(866\) | − | 23.0788i | − | 0.784250i | ||||||
\(867\) | −1.15229 | + | 13.3086i | −0.0391337 | + | 0.451983i | ||||
\(868\) | −3.64658 | + | 0.832307i | −0.123773 | + | 0.0282503i | ||||
\(869\) | −2.56969 | − | 0.740315i | −0.0871708 | − | 0.0251135i | ||||
\(870\) | −11.4902 | + | 4.38602i | −0.389553 | + | 0.148700i | ||||
\(871\) | 0.000265316 | 0.00235474i | 8.98989e−6 | 7.97875e-5i | ||||||
\(872\) | −14.9418 | − | 11.2449i | −0.505995 | − | 0.380800i | ||||
\(873\) | −20.0849 | − | 7.66681i | −0.679771 | − | 0.259482i | ||||
\(874\) | −1.95391 | + | 7.57468i | −0.0660919 | + | 0.256217i | ||||
\(875\) | −8.73661 | − | 30.3254i | −0.295351 | − | 1.02519i | ||||
\(876\) | −1.82883 | − | 1.29762i | −0.0617904 | − | 0.0438426i | ||||
\(877\) | −1.29718 | + | 46.2334i | −0.0438028 | + | 1.56119i | 0.602506 | + | 0.798115i | \(0.294169\pi\) |
−0.646309 | + | 0.763076i | \(0.723688\pi\) | |||||||
\(878\) | −7.03243 | + | 49.8130i | −0.237333 | + | 1.68111i | ||||
\(879\) | 8.66504 | − | 4.47647i | 0.292265 | − | 0.150988i | ||||
\(880\) | −3.04621 | − | 27.0359i | −0.102688 | − | 0.911379i | ||||
\(881\) | −24.2638 | + | 41.1331i | −0.817467 | + | 1.38581i | 0.102875 | + | 0.994694i | \(0.467196\pi\) |
−0.920342 | + | 0.391114i | \(0.872090\pi\) | |||||||
\(882\) | −7.08890 | − | 6.33503i | −0.238696 | − | 0.213311i | ||||
\(883\) | −45.8644 | − | 36.5757i | −1.54346 | − | 1.23087i | −0.871630 | − | 0.490165i | \(-0.836937\pi\) |
−0.671831 | − | 0.740704i | \(-0.734492\pi\) | |||||||
\(884\) | −0.547529 | + | 1.13374i | −0.0184154 | + | 0.0381317i | ||||
\(885\) | −0.572150 | + | 0.275533i | −0.0192326 | + | 0.00926193i | ||||
\(886\) | −4.08829 | − | 24.0620i | −0.137349 | − | 0.808378i | ||||
\(887\) | 20.3985 | + | 53.4384i | 0.684915 | + | 1.79429i | 0.603140 | + | 0.797636i | \(0.293916\pi\) |
0.0817753 | + | 0.996651i | \(0.473941\pi\) | |||||||
\(888\) | 2.41899 | − | 21.4692i | 0.0811761 | − | 0.720458i | ||||
\(889\) | 8.25276 | + | 6.21084i | 0.276789 | + | 0.208305i | ||||
\(890\) | −0.299081 | + | 0.783509i | −0.0100252 | + | 0.0262633i | ||||
\(891\) | −4.96601 | + | 19.2516i | −0.166368 | + | 0.644954i | ||||
\(892\) | −2.40103 | − | 4.34434i | −0.0803925 | − | 0.145459i | ||||
\(893\) | 2.83013 | − | 3.98869i | 0.0947065 | − | 0.133476i | ||||
\(894\) | 0.982370 | + | 0.507504i | 0.0328554 | + | 0.0169735i | ||||
\(895\) | 5.40635 | − | 14.1631i | 0.180714 | − | 0.473421i | ||||
\(896\) | 39.5046 | + | 7.85796i | 1.31976 | + | 0.262516i | ||||
\(897\) | 1.43372 | − | 1.43372i | 0.0478705 | − | 0.0478705i | ||||
\(898\) | −28.4909 | − | 26.9358i | −0.950754 | − | 0.898858i | ||||
\(899\) | −20.6336 | + | 37.3338i | −0.688170 | + | 1.24515i | ||||
\(900\) | 0.931229 | + | 1.93372i | 0.0310410 | + | 0.0644573i | ||||
\(901\) | −40.7618 | + | 16.8312i | −1.35797 | + | 0.560728i | ||||
\(902\) | 9.04298i | 0.301098i | ||||||||
\(903\) | 5.31150 | − | 15.1090i | 0.176756 | − | 0.502794i | ||||
\(904\) | −29.2118 | − | 43.7186i | −0.971571 | − | 1.45406i | ||||
\(905\) | 5.28623 | + | 15.1072i | 0.175720 | + | 0.502179i | ||||
\(906\) | 9.34329 | − | 2.41013i | 0.310410 | − | 0.0800711i | ||||
\(907\) | −40.1084 | + | 3.38310i | −1.33178 | + | 0.112334i | −0.728417 | − | 0.685135i | \(-0.759743\pi\) |
−0.603361 | + | 0.797469i | \(0.706172\pi\) | |||||||
\(908\) | 1.65508 | + | 3.69873i | 0.0549257 | + | 0.122747i | ||||
\(909\) | 4.62490 | + | 1.91569i | 0.153398 | + | 0.0635396i | ||||
\(910\) | −6.21424 | − | 2.57402i | −0.206000 | − | 0.0853280i | ||||
\(911\) | 38.3869 | − | 17.1770i | 1.27182 | − | 0.569101i | 0.342893 | − | 0.939375i | \(-0.388593\pi\) |
0.928923 | + | 0.370274i | \(0.120736\pi\) | |||||||
\(912\) | −8.21386 | + | 2.61799i | −0.271988 | + | 0.0866905i | ||||
\(913\) | −29.3318 | + | 65.5501i | −0.970740 | + | 2.16939i | ||||
\(914\) | −53.9819 | + | 6.08230i | −1.78556 | + | 0.201185i | ||||
\(915\) | −0.115579 | − | 0.818684i | −0.00382092 | − | 0.0270649i | ||||
\(916\) | −3.25439 | − | 4.58663i | −0.107528 | − | 0.151547i | ||||
\(917\) | −28.6290 | + | 59.4487i | −0.945412 | + | 1.96317i | ||||
\(918\) | 25.9031 | − | 3.62763i | 0.854931 | − | 0.119730i | ||||
\(919\) | 5.62015 | − | 24.6235i | 0.185392 | − | 0.812254i | −0.793614 | − | 0.608421i | \(-0.791803\pi\) |
0.979006 | − | 0.203833i | \(-0.0653398\pi\) | |||||||
\(920\) | −6.43886 | + | 1.09401i | −0.212283 | + | 0.0360683i | ||||
\(921\) | −6.49903 | + | 11.0175i | −0.214150 | + | 0.363038i | ||||
\(922\) | 0.779382 | − | 6.91721i | 0.0256676 | − | 0.227806i | ||||
\(923\) | 4.11837 | − | 3.47765i | 0.135558 | − | 0.114468i | ||||
\(924\) | 0.443067 | − | 3.13839i | 0.0145758 | − | 0.103245i | ||||
\(925\) | −30.1991 | + | 22.7272i | −0.992940 | + | 0.747264i | ||||
\(926\) | −5.80892 | + | 3.21048i | −0.190893 | + | 0.105503i | ||||
\(927\) | −14.2903 | + | 4.11697i | −0.469355 | + | 0.135219i | ||||
\(928\) | −9.92609 | + | 7.47015i | −0.325840 | + | 0.245220i | ||||
\(929\) | −14.5305 | − | 15.3694i | −0.476731 | − | 0.504255i | 0.443152 | − | 0.896446i | \(-0.353860\pi\) |
−0.919884 | + | 0.392191i | \(0.871717\pi\) | |||||||
\(930\) | 6.11715 | + | 2.73725i | 0.200589 | + | 0.0897580i | ||||
\(931\) | −6.53712 | − | 0.736556i | −0.214245 | − | 0.0241397i | ||||
\(932\) | 0.253402 | + | 1.79493i | 0.00830045 | + | 0.0587948i | ||||
\(933\) | −8.98770 | + | 6.37711i | −0.294244 | + | 0.208777i | ||||
\(934\) | −10.9705 | + | 22.7805i | −0.358966 | + | 0.745400i | ||||
\(935\) | 13.4274 | + | 21.4223i | 0.439125 | + | 0.700585i | ||||
\(936\) | −7.46016 | − | 1.70273i | −0.243843 | − | 0.0556556i | ||||
\(937\) | −4.72615 | + | 16.4048i | −0.154397 | + | 0.535923i | 0.845601 | + | 0.533815i | \(0.179242\pi\) |
−0.999998 | + | 0.00210748i | \(0.999329\pi\) | |||||||
\(938\) | 0.00620359 | − | 0.00656175i | 0.000202554 | − | 0.000214249i | ||||
\(939\) | 2.23453 | − | 2.23453i | 0.0729211 | − | 0.0729211i | ||||
\(940\) | −0.571101 | − | 0.113599i | −0.0186273 | − | 0.00370519i | ||||
\(941\) | −23.3336 | − | 8.90692i | −0.760655 | − | 0.290357i | −0.0545944 | − | 0.998509i | \(-0.517387\pi\) |
−0.706061 | + | 0.708151i | \(0.749529\pi\) | |||||||
\(942\) | −14.0265 | − | 11.8443i | −0.457008 | − | 0.385909i | ||||
\(943\) | 2.44217 | − | 0.137149i | 0.0795281 | − | 0.00446620i | ||||
\(944\) | −2.26691 | + | 2.02583i | −0.0737816 | + | 0.0659353i | ||||
\(945\) | 3.02482 | + | 15.2068i | 0.0983973 | + | 0.494676i | ||||
\(946\) | −49.5322 | + | 12.7002i | −1.61043 | + | 0.412920i | ||||
\(947\) | −54.0236 | − | 10.7460i | −1.75553 | − | 0.349197i | −0.790729 | − | 0.612167i | \(-0.790298\pi\) |
−0.964804 | + | 0.262970i | \(0.915298\pi\) | |||||||
\(948\) | 0.0952260 | − | 0.0333210i | 0.00309280 | − | 0.00108222i | ||||
\(949\) | −12.0464 | − | 7.10598i | −0.391042 | − | 0.230670i | ||||
\(950\) | 11.7145 | + | 6.47437i | 0.380069 | + | 0.210056i | ||||
\(951\) | 1.25776 | + | 5.51062i | 0.0407858 | + | 0.178694i | ||||
\(952\) | −32.5872 | + | 8.36743i | −1.05616 | + | 0.271190i | ||||
\(953\) | 10.4751i | 0.339321i | 0.985503 | + | 0.169660i | \(0.0542671\pi\) | ||||
−0.985503 | + | 0.169660i | \(0.945733\pi\) | |||||||
\(954\) | 22.1177 | + | 31.1720i | 0.716088 | + | 1.00923i | ||||
\(955\) | 1.57500 | + | 0.132850i | 0.0509659 | + | 0.00429892i | ||||
\(956\) | 3.19532 | + | 5.08532i | 0.103344 | + | 0.164471i | ||||
\(957\) | −23.3205 | − | 27.6170i | −0.753844 | − | 0.892731i | ||||
\(958\) | 11.8819 | + | 20.1427i | 0.383885 | + | 0.650780i | ||||
\(959\) | −46.3657 | + | 20.7473i | −1.49723 | + | 0.669965i | ||||
\(960\) | −4.17956 | − | 4.67693i | −0.134895 | − | 0.150947i | ||||
\(961\) | −7.45336 | + | 2.14728i | −0.240431 | + | 0.0692670i | ||||
\(962\) | −0.538936 | + | 19.2084i | −0.0173760 | + | 0.619305i | ||||
\(963\) | −14.5009 | + | 13.7094i | −0.467285 | + | 0.441779i | ||||
\(964\) | 1.12551 | + | 4.36324i | 0.0362502 | + | 0.140530i | ||||
\(965\) | −4.98414 | − | 0.561578i | −0.160445 | − | 0.0180778i | ||||
\(966\) | −7.69919 | − | 0.649419i | −0.247717 | − | 0.0208947i | ||||
\(967\) | 15.5691 | − | 17.4218i | 0.500668 | − | 0.560248i | −0.440689 | − | 0.897660i | \(-0.645266\pi\) |
0.941357 | + | 0.337412i | \(0.109552\pi\) | |||||||
\(968\) | 37.9175 | − | 18.2601i | 1.21872 | − | 0.586902i | ||||
\(969\) | 5.82756 | − | 5.49725i | 0.187208 | − | 0.176597i | ||||
\(970\) | 9.95228 | + | 12.4798i | 0.319549 | + | 0.400701i | ||||
\(971\) | −8.59062 | − | 7.67705i | −0.275686 | − | 0.246368i | 0.517018 | − | 0.855974i | \(-0.327042\pi\) |
−0.792704 | + | 0.609606i | \(0.791328\pi\) | |||||||
\(972\) | −1.39698 | − | 3.65971i | −0.0448083 | − | 0.117385i | ||||
\(973\) | −11.4144 | + | 7.17214i | −0.365929 | + | 0.229928i | ||||
\(974\) | 5.98953 | + | 11.5939i | 0.191917 | + | 0.371491i | ||||
\(975\) | −1.76262 | − | 2.98808i | −0.0564491 | − | 0.0956952i | ||||
\(976\) | −1.61673 | − | 3.61304i | −0.0517504 | − | 0.115651i | ||||
\(977\) | 7.45316 | + | 8.34009i | 0.238448 | + | 0.266823i | 0.852834 | − | 0.522182i | \(-0.174882\pi\) |
−0.614386 | + | 0.789005i | \(0.710596\pi\) | |||||||
\(978\) | 7.67214 | − | 4.24024i | 0.245328 | − | 0.135588i | ||||
\(979\) | −2.46382 | − | 0.0691282i | −0.0787442 | − | 0.00220935i | ||||
\(980\) | 0.237850 | + | 0.746244i | 0.00759782 | + | 0.0238379i | ||||
\(981\) | −0.475969 | − | 16.9642i | −0.0151965 | − | 0.541624i | ||||
\(982\) | 6.04365 | + | 6.04365i | 0.192861 | + | 0.192861i | ||||
\(983\) | −29.9357 | − | 44.8020i | −0.954801 | − | 1.42896i | −0.902676 | − | 0.430320i | \(-0.858401\pi\) |
−0.0521250 | − | 0.998641i | \(-0.516599\pi\) | |||||||
\(984\) | 1.38439 | + | 1.95111i | 0.0441326 | + | 0.0621991i | ||||
\(985\) | −8.64750 | − | 10.8436i | −0.275532 | − | 0.345506i | ||||
\(986\) | 25.1673 | − | 48.5839i | 0.801490 | − | 1.54723i | ||||
\(987\) | 4.35226 | + | 2.09594i | 0.138534 | + | 0.0667145i | ||||
\(988\) | 0.697586 | − | 0.288949i | 0.0221932 | − | 0.00919270i | ||||
\(989\) | 4.18108 | + | 13.1842i | 0.132951 | + | 0.419232i | ||||
\(990\) | 15.4945 | − | 15.4945i | 0.492447 | − | 0.492447i | ||||
\(991\) | 3.85193 | + | 2.89887i | 0.122361 | + | 0.0920858i | 0.660732 | − | 0.750622i | \(-0.270246\pi\) |
−0.538371 | + | 0.842708i | \(0.680960\pi\) | |||||||
\(992\) | 6.70284 | + | 0.946284i | 0.212815 | + | 0.0300445i | ||||
\(993\) | −1.24644 | + | 1.47608i | −0.0395545 | + | 0.0468419i | ||||
\(994\) | −20.2505 | − | 3.44070i | −0.642307 | − | 0.109132i | ||||
\(995\) | −0.0377339 | + | 0.0910977i | −0.00119625 | + | 0.00288799i | ||||
\(996\) | −0.528547 | − | 2.65719i | −0.0167477 | − | 0.0841962i | ||||
\(997\) | 53.8976 | + | 20.5738i | 1.70695 | + | 0.651579i | 0.998530 | − | 0.0542076i | \(-0.0172633\pi\) |
0.708425 | + | 0.705786i | \(0.249406\pi\) | |||||||
\(998\) | 20.9585 | − | 17.6978i | 0.663429 | − | 0.560215i | ||||
\(999\) | 37.5055 | − | 23.5663i | 1.18662 | − | 0.745605i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 731.2.bj.a.22.17 | ✓ | 3072 | |
17.7 | odd | 16 | inner | 731.2.bj.a.194.48 | yes | 3072 | |
43.2 | odd | 14 | inner | 731.2.bj.a.260.48 | yes | 3072 | |
731.432 | even | 112 | inner | 731.2.bj.a.432.17 | yes | 3072 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.bj.a.22.17 | ✓ | 3072 | 1.1 | even | 1 | trivial | |
731.2.bj.a.194.48 | yes | 3072 | 17.7 | odd | 16 | inner | |
731.2.bj.a.260.48 | yes | 3072 | 43.2 | odd | 14 | inner | |
731.2.bj.a.432.17 | yes | 3072 | 731.432 | even | 112 | inner |