Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(9,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([22, 30]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("322.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.m (of order \(33\), degree \(20\), 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: | \(2.57118294509\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 261.4 | ||
Character | \(\chi\) | \(=\) | 322.261 |
Dual form | 322.2.m.b.95.4 |
$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.786053 | − | 0.618159i | −0.555823 | − | 0.437104i | ||||
\(3\) | −0.0197625 | + | 0.0277526i | −0.0114099 | + | 0.0160230i | −0.820242 | − | 0.572017i | \(-0.806161\pi\) |
0.808832 | + | 0.588040i | \(0.200100\pi\) | |||||||
\(4\) | 0.235759 | + | 0.971812i | 0.117879 | + | 0.485906i | ||||
\(5\) | 3.71493 | − | 0.715993i | 1.66137 | − | 0.320202i | 0.729769 | − | 0.683694i | \(-0.239628\pi\) |
0.931597 | + | 0.363492i | \(0.118416\pi\) | |||||||
\(6\) | 0.0326899 | − | 0.00959862i | 0.0133456 | − | 0.00391862i | ||||
\(7\) | 0.765630 | + | 2.53255i | 0.289381 | + | 0.957214i | ||||
\(8\) | 0.415415 | − | 0.909632i | 0.146871 | − | 0.321603i | ||||
\(9\) | 0.980824 | + | 2.83391i | 0.326941 | + | 0.944635i | ||||
\(10\) | −3.36273 | − | 1.73361i | −1.06339 | − | 0.548215i | ||||
\(11\) | −4.60525 | + | 3.62161i | −1.38853 | + | 1.09196i | −0.404389 | + | 0.914587i | \(0.632516\pi\) |
−0.984145 | + | 0.177368i | \(0.943242\pi\) | |||||||
\(12\) | −0.0316295 | − | 0.0126625i | −0.00913064 | − | 0.00365536i | ||||
\(13\) | 1.18727 | − | 0.763009i | 0.329288 | − | 0.211621i | −0.365541 | − | 0.930795i | \(-0.619116\pi\) |
0.694830 | + | 0.719174i | \(0.255480\pi\) | |||||||
\(14\) | 0.963692 | − | 2.46400i | 0.257558 | − | 0.658532i | ||||
\(15\) | −0.0535456 | + | 0.117249i | −0.0138254 | + | 0.0302735i | ||||
\(16\) | −0.888835 | + | 0.458227i | −0.222209 | + | 0.114557i | ||||
\(17\) | −2.31441 | − | 2.20678i | −0.561327 | − | 0.535224i | 0.355413 | − | 0.934709i | \(-0.384340\pi\) |
−0.916739 | + | 0.399486i | \(0.869189\pi\) | |||||||
\(18\) | 0.980824 | − | 2.83391i | 0.231182 | − | 0.667958i | ||||
\(19\) | 1.93459 | − | 1.84463i | 0.443825 | − | 0.423186i | −0.434926 | − | 0.900466i | \(-0.643226\pi\) |
0.878751 | + | 0.477280i | \(0.158377\pi\) | |||||||
\(20\) | 1.57164 | + | 3.44141i | 0.351429 | + | 0.769522i | ||||
\(21\) | −0.0854156 | − | 0.0288014i | −0.0186392 | − | 0.00628497i | ||||
\(22\) | 5.85870 | 1.24908 | ||||||||
\(23\) | −2.45258 | + | 4.12127i | −0.511399 | + | 0.859343i | ||||
\(24\) | 0.0170350 | + | 0.0295055i | 0.00347725 | + | 0.00602277i | ||||
\(25\) | 8.64620 | − | 3.46141i | 1.72924 | − | 0.692283i | ||||
\(26\) | −1.40492 | − | 0.134153i | −0.275527 | − | 0.0263096i | ||||
\(27\) | −0.196101 | − | 0.0575806i | −0.0377397 | − | 0.0110814i | ||||
\(28\) | −2.28066 | + | 1.34112i | −0.431004 | + | 0.253448i | ||||
\(29\) | 4.98434 | − | 1.46353i | 0.925569 | − | 0.271772i | 0.215988 | − | 0.976396i | \(-0.430703\pi\) |
0.709580 | + | 0.704624i | \(0.248884\pi\) | |||||||
\(30\) | 0.114568 | − | 0.0590639i | 0.0209172 | − | 0.0107835i | ||||
\(31\) | 6.89186 | − | 0.658093i | 1.23782 | − | 0.118197i | 0.544456 | − | 0.838789i | \(-0.316736\pi\) |
0.693359 | + | 0.720592i | \(0.256130\pi\) | |||||||
\(32\) | 0.981929 | + | 0.189251i | 0.173582 | + | 0.0334552i | ||||
\(33\) | −0.00949761 | − | 0.199379i | −0.00165332 | − | 0.0347075i | ||||
\(34\) | 0.455105 | + | 3.16532i | 0.0780498 | + | 0.542848i | ||||
\(35\) | 4.65755 | + | 8.86005i | 0.787270 | + | 1.49762i | ||||
\(36\) | −2.52278 | + | 1.62129i | −0.420464 | + | 0.270216i | ||||
\(37\) | 0.106158 | + | 0.306723i | 0.0174522 | + | 0.0504249i | 0.953391 | − | 0.301739i | \(-0.0975671\pi\) |
−0.935938 | + | 0.352164i | \(0.885446\pi\) | |||||||
\(38\) | −2.66096 | + | 0.254091i | −0.431665 | + | 0.0412190i | ||||
\(39\) | −0.00228789 | + | 0.0480287i | −0.000366355 | + | 0.00769074i | ||||
\(40\) | 0.891946 | − | 3.67665i | 0.141029 | − | 0.581330i | ||||
\(41\) | −6.54967 | − | 7.55872i | −1.02289 | − | 1.18047i | −0.983437 | − | 0.181253i | \(-0.941985\pi\) |
−0.0394503 | − | 0.999222i | \(-0.512561\pi\) | |||||||
\(42\) | 0.0493373 | + | 0.0754398i | 0.00761292 | + | 0.0116406i | ||||
\(43\) | −4.88584 | − | 10.6985i | −0.745084 | − | 1.63151i | −0.775007 | − | 0.631953i | \(-0.782253\pi\) |
0.0299229 | − | 0.999552i | \(-0.490474\pi\) | |||||||
\(44\) | −4.60525 | − | 3.62161i | −0.694267 | − | 0.545978i | ||||
\(45\) | 5.67275 | + | 9.82549i | 0.845643 | + | 1.46470i | ||||
\(46\) | 4.47546 | − | 1.72345i | 0.659870 | − | 0.254108i | ||||
\(47\) | 4.21347 | − | 7.29795i | 0.614598 | − | 1.06452i | −0.375856 | − | 0.926678i | \(-0.622651\pi\) |
0.990455 | − | 0.137838i | \(-0.0440152\pi\) | |||||||
\(48\) | 0.00484866 | − | 0.0337232i | 0.000699844 | − | 0.00486752i | ||||
\(49\) | −5.82762 | + | 3.87799i | −0.832517 | + | 0.553999i | ||||
\(50\) | −8.93607 | − | 2.62387i | −1.26375 | − | 0.371071i | ||||
\(51\) | 0.106982 | − | 0.0206192i | 0.0149805 | − | 0.00288726i | ||||
\(52\) | 1.02141 | + | 0.973912i | 0.141644 | + | 0.135057i | ||||
\(53\) | 0.387904 | − | 8.14311i | 0.0532827 | − | 1.11854i | −0.800977 | − | 0.598695i | \(-0.795686\pi\) |
0.854260 | − | 0.519847i | \(-0.174011\pi\) | |||||||
\(54\) | 0.118552 | + | 0.166483i | 0.0161329 | + | 0.0226555i | ||||
\(55\) | −14.5151 | + | 16.7513i | −1.95722 | + | 2.25875i | ||||
\(56\) | 2.62174 | + | 0.355617i | 0.350345 | + | 0.0475214i | ||||
\(57\) | 0.0129608 | + | 0.0901443i | 0.00171670 | + | 0.0119399i | ||||
\(58\) | −4.82265 | − | 1.93070i | −0.633245 | − | 0.253513i | ||||
\(59\) | −4.40972 | − | 2.27337i | −0.574097 | − | 0.295968i | 0.146624 | − | 0.989192i | \(-0.453159\pi\) |
−0.720722 | + | 0.693225i | \(0.756189\pi\) | |||||||
\(60\) | −0.126567 | − | 0.0243939i | −0.0163398 | − | 0.00314923i | ||||
\(61\) | 1.64509 | + | 2.31021i | 0.210632 | + | 0.295792i | 0.906354 | − | 0.422520i | \(-0.138854\pi\) |
−0.695721 | + | 0.718312i | \(0.744915\pi\) | |||||||
\(62\) | −5.82418 | − | 3.74297i | −0.739671 | − | 0.475358i | ||||
\(63\) | −6.42606 | + | 4.65371i | −0.809607 | + | 0.586312i | ||||
\(64\) | −0.654861 | − | 0.755750i | −0.0818576 | − | 0.0944687i | ||||
\(65\) | 3.86430 | − | 3.68460i | 0.479307 | − | 0.457018i | ||||
\(66\) | −0.115783 | + | 0.162594i | −0.0142518 | + | 0.0200139i | ||||
\(67\) | 2.00487 | − | 0.802631i | 0.244934 | − | 0.0980570i | −0.245947 | − | 0.969283i | \(-0.579099\pi\) |
0.490882 | + | 0.871226i | \(0.336675\pi\) | |||||||
\(68\) | 1.59894 | − | 2.76944i | 0.193899 | − | 0.335844i | ||||
\(69\) | −0.0659065 | − | 0.149512i | −0.00793421 | − | 0.0179991i | ||||
\(70\) | 1.81584 | − | 9.84358i | 0.217034 | − | 1.17653i | ||||
\(71\) | −0.860629 | + | 5.98581i | −0.102138 | + | 0.710385i | 0.872828 | + | 0.488029i | \(0.162284\pi\) |
−0.974966 | + | 0.222356i | \(0.928625\pi\) | |||||||
\(72\) | 2.98526 | + | 0.285058i | 0.351816 | + | 0.0335944i | ||||
\(73\) | 1.46166 | + | 6.02503i | 0.171074 | + | 0.705176i | 0.991130 | + | 0.132893i | \(0.0424268\pi\) |
−0.820056 | + | 0.572283i | \(0.806058\pi\) | |||||||
\(74\) | 0.106158 | − | 0.306723i | 0.0123406 | − | 0.0356558i | ||||
\(75\) | −0.0748074 | + | 0.308360i | −0.00863802 | + | 0.0356064i | ||||
\(76\) | 2.24873 | + | 1.44517i | 0.257947 | + | 0.165772i | ||||
\(77\) | −12.6978 | − | 8.89021i | −1.44705 | − | 1.01313i | ||||
\(78\) | 0.0314878 | − | 0.0363388i | 0.00356529 | − | 0.00411456i | ||||
\(79\) | 0.189427 | + | 3.97657i | 0.0213122 | + | 0.447399i | 0.984152 | + | 0.177326i | \(0.0567448\pi\) |
−0.962840 | + | 0.270073i | \(0.912952\pi\) | |||||||
\(80\) | −2.97387 | + | 2.33868i | −0.332489 | + | 0.261472i | ||||
\(81\) | −7.06627 | + | 5.55697i | −0.785141 | + | 0.617442i | ||||
\(82\) | 0.475896 | + | 9.99030i | 0.0525540 | + | 1.10324i | ||||
\(83\) | 5.37462 | − | 6.20264i | 0.589941 | − | 0.680829i | −0.379770 | − | 0.925081i | \(-0.623997\pi\) |
0.969712 | + | 0.244252i | \(0.0785425\pi\) | |||||||
\(84\) | 0.00785201 | − | 0.0897980i | 0.000856724 | − | 0.00979777i | ||||
\(85\) | −10.1779 | − | 6.54094i | −1.10395 | − | 0.709465i | ||||
\(86\) | −2.77284 | + | 11.4298i | −0.299003 | + | 1.23251i | ||||
\(87\) | −0.0578863 | + | 0.167251i | −0.00620606 | + | 0.0179312i | ||||
\(88\) | 1.38124 | + | 5.69355i | 0.147241 | + | 0.606934i | ||||
\(89\) | −14.3200 | − | 1.36739i | −1.51792 | − | 0.144944i | −0.697449 | − | 0.716635i | \(-0.745681\pi\) |
−0.820469 | + | 0.571691i | \(0.806287\pi\) | |||||||
\(90\) | 1.61463 | − | 11.2300i | 0.170197 | − | 1.18375i | ||||
\(91\) | 2.84137 | + | 2.42263i | 0.297856 | + | 0.253960i | ||||
\(92\) | −4.58331 | − | 1.41182i | −0.477843 | − | 0.147193i | ||||
\(93\) | −0.117937 | + | 0.204272i | −0.0122295 | + | 0.0211821i | ||||
\(94\) | −7.82331 | + | 3.13198i | −0.806913 | + | 0.323039i | ||||
\(95\) | 5.86611 | − | 8.23781i | 0.601851 | − | 0.845181i | ||||
\(96\) | −0.0246576 | + | 0.0235110i | −0.00251660 | + | 0.00239958i | ||||
\(97\) | 6.57840 | + | 7.59188i | 0.667935 | + | 0.770838i | 0.984052 | − | 0.177882i | \(-0.0569246\pi\) |
−0.316117 | + | 0.948720i | \(0.602379\pi\) | |||||||
\(98\) | 6.97804 | + | 0.554086i | 0.704888 | + | 0.0559712i | ||||
\(99\) | −14.7802 | − | 9.49867i | −1.48547 | − | 0.954653i | ||||
\(100\) | 5.40226 | + | 7.58641i | 0.540226 | + | 0.758641i | ||||
\(101\) | 7.08607 | + | 1.36573i | 0.705090 | + | 0.135895i | 0.529178 | − | 0.848511i | \(-0.322500\pi\) |
0.175912 | + | 0.984406i | \(0.443712\pi\) | |||||||
\(102\) | −0.0968398 | − | 0.0499244i | −0.00958857 | − | 0.00494325i | ||||
\(103\) | 7.48272 | + | 2.99563i | 0.737294 | + | 0.295168i | 0.709751 | − | 0.704453i | \(-0.248807\pi\) |
0.0275432 | + | 0.999621i | \(0.491232\pi\) | |||||||
\(104\) | −0.200850 | − | 1.39694i | −0.0196949 | − | 0.136981i | ||||
\(105\) | −0.337934 | − | 0.0458379i | −0.0329790 | − | 0.00447332i | ||||
\(106\) | −5.33865 | + | 6.16113i | −0.518535 | + | 0.598422i | ||||
\(107\) | −1.90423 | − | 2.67412i | −0.184089 | − | 0.258517i | 0.712210 | − | 0.701966i | \(-0.247694\pi\) |
−0.896300 | + | 0.443449i | \(0.853755\pi\) | |||||||
\(108\) | 0.00972480 | − | 0.204149i | 0.000935770 | − | 0.0196442i | ||||
\(109\) | 0.769362 | + | 0.733585i | 0.0736915 | + | 0.0702647i | 0.726030 | − | 0.687663i | \(-0.241363\pi\) |
−0.652338 | + | 0.757928i | \(0.726212\pi\) | |||||||
\(110\) | 21.7646 | − | 4.19479i | 2.07518 | − | 0.399957i | ||||
\(111\) | −0.0106103 | − | 0.00311546i | −0.00100708 | − | 0.000295707i | ||||
\(112\) | −1.84100 | − | 1.90019i | −0.173958 | − | 0.179551i | ||||
\(113\) | 0.0174601 | − | 0.121438i | 0.00164251 | − | 0.0114239i | −0.988984 | − | 0.148024i | \(-0.952709\pi\) |
0.990626 | + | 0.136601i | \(0.0436177\pi\) | |||||||
\(114\) | 0.0455356 | − | 0.0788700i | 0.00426480 | − | 0.00738685i | ||||
\(115\) | −6.16037 | + | 17.0662i | −0.574457 | + | 1.59143i | ||||
\(116\) | 2.59738 | + | 4.49880i | 0.241161 | + | 0.417703i | ||||
\(117\) | 3.32680 | + | 2.61622i | 0.307562 | + | 0.241870i | ||||
\(118\) | 2.06097 | + | 4.51290i | 0.189728 | + | 0.415446i | ||||
\(119\) | 3.81681 | − | 7.55094i | 0.349886 | − | 0.692193i | ||||
\(120\) | 0.0844094 | + | 0.0974137i | 0.00770549 | + | 0.00889261i | ||||
\(121\) | 5.49892 | − | 22.6668i | 0.499901 | − | 2.06062i | ||||
\(122\) | 0.134946 | − | 2.83287i | 0.0122175 | − | 0.256476i | ||||
\(123\) | 0.339212 | − | 0.0323908i | 0.0305857 | − | 0.00292058i | ||||
\(124\) | 2.26436 | + | 6.54244i | 0.203346 | + | 0.587528i | ||||
\(125\) | 13.7281 | − | 8.82250i | 1.22788 | − | 0.789108i | ||||
\(126\) | 7.92796 | + | 0.314262i | 0.706279 | + | 0.0279967i | ||||
\(127\) | −0.795146 | − | 5.53036i | −0.0705578 | − | 0.490740i | −0.994205 | − | 0.107497i | \(-0.965716\pi\) |
0.923648 | − | 0.383243i | \(-0.125193\pi\) | |||||||
\(128\) | 0.0475819 | + | 0.998867i | 0.00420569 | + | 0.0882882i | ||||
\(129\) | 0.393467 | + | 0.0758346i | 0.0346429 | + | 0.00667686i | ||||
\(130\) | −5.31521 | + | 0.507541i | −0.466175 | + | 0.0445143i | ||||
\(131\) | −1.00632 | + | 0.518796i | −0.0879229 | + | 0.0453274i | −0.501627 | − | 0.865084i | \(-0.667265\pi\) |
0.413704 | + | 0.910411i | \(0.364235\pi\) | |||||||
\(132\) | 0.191520 | − | 0.0562354i | 0.0166697 | − | 0.00489466i | ||||
\(133\) | 6.15279 | + | 3.48714i | 0.533514 | + | 0.302373i | ||||
\(134\) | −2.07209 | − | 0.608421i | −0.179001 | − | 0.0525596i | ||||
\(135\) | −0.769730 | − | 0.0735003i | −0.0662478 | − | 0.00632590i | ||||
\(136\) | −2.96880 | + | 1.18853i | −0.254573 | + | 0.101916i | ||||
\(137\) | −3.00802 | − | 5.21005i | −0.256993 | − | 0.445124i | 0.708442 | − | 0.705769i | \(-0.249398\pi\) |
−0.965435 | + | 0.260644i | \(0.916065\pi\) | |||||||
\(138\) | −0.0406162 | + | 0.158265i | −0.00345748 | + | 0.0134724i | ||||
\(139\) | −17.7521 | −1.50571 | −0.752855 | − | 0.658186i | \(-0.771324\pi\) | ||||
−0.752855 | + | 0.658186i | \(0.771324\pi\) | |||||||
\(140\) | −7.51224 | + | 6.61510i | −0.634900 | + | 0.559078i | ||||
\(141\) | 0.119268 | + | 0.261161i | 0.0100442 | + | 0.0219937i | ||||
\(142\) | 4.37668 | − | 4.17316i | 0.367283 | − | 0.350204i | ||||
\(143\) | −2.70433 | + | 7.81366i | −0.226148 | + | 0.653411i | ||||
\(144\) | −2.17036 | − | 2.06944i | −0.180864 | − | 0.172453i | ||||
\(145\) | 17.4686 | − | 9.00568i | 1.45069 | − | 0.747881i | ||||
\(146\) | 2.57549 | − | 5.63953i | 0.213149 | − | 0.466731i | ||||
\(147\) | 0.00754412 | − | 0.238370i | 0.000622229 | − | 0.0196605i | ||||
\(148\) | −0.273049 | + | 0.175478i | −0.0224445 | + | 0.0144242i | ||||
\(149\) | −17.2488 | − | 6.90536i | −1.41307 | − | 0.565709i | −0.465443 | − | 0.885078i | \(-0.654105\pi\) |
−0.947631 | + | 0.319369i | \(0.896529\pi\) | |||||||
\(150\) | 0.249418 | − | 0.196145i | 0.0203649 | − | 0.0160152i | ||||
\(151\) | −8.42913 | − | 4.34552i | −0.685953 | − | 0.353633i | 0.0797615 | − | 0.996814i | \(-0.474584\pi\) |
−0.765714 | + | 0.643181i | \(0.777614\pi\) | |||||||
\(152\) | −0.874274 | − | 2.52605i | −0.0709130 | − | 0.204890i | ||||
\(153\) | 3.98379 | − | 8.72328i | 0.322070 | − | 0.705236i | ||||
\(154\) | 4.48560 | + | 14.8374i | 0.361460 | + | 1.19564i | ||||
\(155\) | 25.1316 | − | 7.37930i | 2.01862 | − | 0.592719i | ||||
\(156\) | −0.0472142 | + | 0.00909979i | −0.00378016 | + | 0.000728566i | ||||
\(157\) | 0.387521 | + | 1.59738i | 0.0309276 | + | 0.127485i | 0.985183 | − | 0.171509i | \(-0.0548641\pi\) |
−0.954255 | + | 0.298994i | \(0.903349\pi\) | |||||||
\(158\) | 2.30925 | − | 3.24289i | 0.183714 | − | 0.257991i | ||||
\(159\) | 0.218326 | + | 0.171694i | 0.0173144 | + | 0.0136162i | ||||
\(160\) | 3.78330 | 0.299096 | ||||||||
\(161\) | −12.3151 | − | 3.05592i | −0.970565 | − | 0.240841i | ||||
\(162\) | 8.98955 | 0.706286 | ||||||||
\(163\) | −3.32586 | − | 2.61549i | −0.260501 | − | 0.204861i | 0.479363 | − | 0.877617i | \(-0.340868\pi\) |
−0.739864 | + | 0.672756i | \(0.765110\pi\) | |||||||
\(164\) | 5.80151 | − | 8.14708i | 0.453022 | − | 0.636180i | ||||
\(165\) | −0.178037 | − | 0.733880i | −0.0138602 | − | 0.0571325i | ||||
\(166\) | −8.05896 | + | 1.55324i | −0.625496 | + | 0.120555i | ||||
\(167\) | −4.16335 | + | 1.22247i | −0.322170 | + | 0.0945975i | −0.438819 | − | 0.898576i | \(-0.644603\pi\) |
0.116649 | + | 0.993173i | \(0.462785\pi\) | |||||||
\(168\) | −0.0616815 | + | 0.0657322i | −0.00475883 | + | 0.00507135i | ||||
\(169\) | −4.57298 | + | 10.0134i | −0.351768 | + | 0.770264i | ||||
\(170\) | 3.95703 | + | 11.4331i | 0.303490 | + | 0.876878i | ||||
\(171\) | 7.12499 | + | 3.67319i | 0.544861 | + | 0.280896i | ||||
\(172\) | 9.24504 | − | 7.27038i | 0.704928 | − | 0.554361i | ||||
\(173\) | 20.2885 | + | 8.12230i | 1.54251 | + | 0.617527i | 0.978131 | − | 0.207990i | \(-0.0666922\pi\) |
0.564377 | + | 0.825517i | \(0.309116\pi\) | |||||||
\(174\) | 0.148890 | − | 0.0956856i | 0.0112873 | − | 0.00725390i | ||||
\(175\) | 15.3860 | + | 19.2468i | 1.16307 | + | 1.45492i | ||||
\(176\) | 2.43379 | − | 5.32926i | 0.183454 | − | 0.401708i | ||||
\(177\) | 0.150239 | − | 0.0774537i | 0.0112927 | − | 0.00582177i | ||||
\(178\) | 10.4110 | + | 9.92688i | 0.780339 | + | 0.744051i | ||||
\(179\) | −6.35945 | + | 18.3744i | −0.475328 | + | 1.37337i | 0.411559 | + | 0.911383i | \(0.364984\pi\) |
−0.886887 | + | 0.461987i | \(0.847137\pi\) | |||||||
\(180\) | −8.21112 | + | 7.82929i | −0.612021 | + | 0.583561i | ||||
\(181\) | 3.04714 | + | 6.67231i | 0.226492 | + | 0.495949i | 0.988426 | − | 0.151706i | \(-0.0484768\pi\) |
−0.761933 | + | 0.647656i | \(0.775750\pi\) | |||||||
\(182\) | −0.735896 | − | 3.66073i | −0.0545483 | − | 0.271351i | ||||
\(183\) | −0.0966253 | −0.00714275 | ||||||||
\(184\) | 2.73000 | + | 3.94298i | 0.201258 | + | 0.290681i | ||||
\(185\) | 0.613980 | + | 1.06344i | 0.0451407 | + | 0.0781860i | ||||
\(186\) | 0.218977 | − | 0.0876653i | 0.0160562 | − | 0.00642793i | ||||
\(187\) | 18.6505 | + | 1.78091i | 1.36386 | + | 0.130233i | ||||
\(188\) | 8.08560 | + | 2.37415i | 0.589703 | + | 0.173152i | ||||
\(189\) | −0.00431552 | − | 0.540722i | −0.000313908 | − | 0.0393317i | ||||
\(190\) | −9.70335 | + | 2.84916i | −0.703955 | + | 0.206700i | ||||
\(191\) | 15.7999 | − | 8.14541i | 1.14324 | − | 0.589381i | 0.220723 | − | 0.975337i | \(-0.429158\pi\) |
0.922517 | + | 0.385955i | \(0.126128\pi\) | |||||||
\(192\) | 0.0339157 | − | 0.00323856i | 0.00244765 | − | 0.000233723i | ||||
\(193\) | 21.9438 | + | 4.22933i | 1.57955 | + | 0.304434i | 0.902231 | − | 0.431254i | \(-0.141929\pi\) |
0.677321 | + | 0.735688i | \(0.263141\pi\) | |||||||
\(194\) | −0.477984 | − | 10.0341i | −0.0343172 | − | 0.720407i | ||||
\(195\) | 0.0258889 | + | 0.180061i | 0.00185394 | + | 0.0128944i | ||||
\(196\) | −5.14259 | − | 4.74908i | −0.367328 | − | 0.339220i | ||||
\(197\) | 9.14171 | − | 5.87502i | 0.651320 | − | 0.418578i | −0.172829 | − | 0.984952i | \(-0.555291\pi\) |
0.824148 | + | 0.566374i | \(0.191654\pi\) | |||||||
\(198\) | 5.74635 | + | 16.6030i | 0.408375 | + | 1.17992i | ||||
\(199\) | −11.3462 | + | 1.08343i | −0.804313 | + | 0.0768026i | −0.489111 | − | 0.872222i | \(-0.662679\pi\) |
−0.315203 | + | 0.949024i | \(0.602073\pi\) | |||||||
\(200\) | 0.443146 | − | 9.30278i | 0.0313352 | − | 0.657806i | ||||
\(201\) | −0.0173463 | + | 0.0715024i | −0.00122351 | + | 0.00504339i | ||||
\(202\) | −4.72579 | − | 5.45385i | −0.332505 | − | 0.383732i | ||||
\(203\) | 7.52264 | + | 11.5026i | 0.527986 | + | 0.807322i | ||||
\(204\) | 0.0452600 | + | 0.0991056i | 0.00316884 | + | 0.00693878i | ||||
\(205\) | −29.7435 | − | 23.3906i | −2.07738 | − | 1.63367i | ||||
\(206\) | −4.03004 | − | 6.98023i | −0.280786 | − | 0.486336i | ||||
\(207\) | −14.0848 | − | 2.90815i | −0.978964 | − | 0.202131i | ||||
\(208\) | −0.705653 | + | 1.22223i | −0.0489282 | + | 0.0847462i | ||||
\(209\) | −2.22875 | + | 15.5013i | −0.154166 | + | 1.07225i | ||||
\(210\) | 0.237299 | + | 0.244928i | 0.0163752 | + | 0.0169016i | ||||
\(211\) | 16.4547 | + | 4.83154i | 1.13279 | + | 0.332617i | 0.793803 | − | 0.608174i | \(-0.208098\pi\) |
0.338986 | + | 0.940791i | \(0.389916\pi\) | |||||||
\(212\) | 8.00502 | − | 1.54284i | 0.549787 | − | 0.105963i | ||||
\(213\) | −0.149113 | − | 0.142179i | −0.0102171 | − | 0.00974196i | ||||
\(214\) | −0.156204 | + | 3.27912i | −0.0106779 | + | 0.224156i | ||||
\(215\) | −25.8106 | − | 36.2459i | −1.76027 | − | 2.47195i | ||||
\(216\) | −0.133841 | + | 0.154460i | −0.00910670 | + | 0.0105097i | ||||
\(217\) | 6.94327 | + | 16.9501i | 0.471340 | + | 1.15065i | ||||
\(218\) | −0.151287 | − | 1.05223i | −0.0102465 | − | 0.0712657i | ||||
\(219\) | −0.196096 | − | 0.0785050i | −0.0132509 | − | 0.00530488i | ||||
\(220\) | −19.7012 | − | 10.1567i | −1.32825 | − | 0.684763i | ||||
\(221\) | −4.43162 | − | 0.854124i | −0.298103 | − | 0.0574546i | ||||
\(222\) | 0.00641440 | + | 0.00900777i | 0.000430507 | + | 0.000604562i | ||||
\(223\) | −12.0196 | − | 7.72455i | −0.804895 | − | 0.517274i | 0.0723151 | − | 0.997382i | \(-0.476961\pi\) |
−0.877210 | + | 0.480108i | \(0.840598\pi\) | |||||||
\(224\) | 0.272506 | + | 2.63168i | 0.0182076 | + | 0.175837i | ||||
\(225\) | 18.2897 | + | 21.1075i | 1.21931 | + | 1.40716i | ||||
\(226\) | −0.0887925 | + | 0.0846635i | −0.00590639 | + | 0.00563173i | ||||
\(227\) | −0.532402 | + | 0.747654i | −0.0353367 | + | 0.0496235i | −0.831866 | − | 0.554976i | \(-0.812727\pi\) |
0.796530 | + | 0.604600i | \(0.206667\pi\) | |||||||
\(228\) | −0.0845476 | + | 0.0338478i | −0.00559930 | + | 0.00224162i | ||||
\(229\) | −6.18044 | + | 10.7048i | −0.408415 | + | 0.707396i | −0.994712 | − | 0.102700i | \(-0.967252\pi\) |
0.586297 | + | 0.810096i | \(0.300585\pi\) | |||||||
\(230\) | 15.3920 | − | 9.60688i | 1.01492 | − | 0.633459i | ||||
\(231\) | 0.497667 | − | 0.176704i | 0.0327441 | − | 0.0116263i | ||||
\(232\) | 0.739292 | − | 5.14189i | 0.0485369 | − | 0.337582i | ||||
\(233\) | −7.30680 | − | 0.697715i | −0.478684 | − | 0.0457088i | −0.147075 | − | 0.989125i | \(-0.546986\pi\) |
−0.331610 | + | 0.943417i | \(0.607592\pi\) | |||||||
\(234\) | −0.997798 | − | 4.11298i | −0.0652281 | − | 0.268874i | ||||
\(235\) | 10.4275 | − | 30.1282i | 0.680213 | − | 1.96535i | ||||
\(236\) | 1.16966 | − | 4.82139i | 0.0761381 | − | 0.313846i | ||||
\(237\) | −0.114104 | − | 0.0733299i | −0.00741182 | − | 0.00476329i | ||||
\(238\) | −7.66790 | + | 3.57604i | −0.497036 | + | 0.231800i | ||||
\(239\) | −16.1222 | + | 18.6060i | −1.04286 | + | 1.20352i | −0.0642211 | + | 0.997936i | \(0.520456\pi\) |
−0.978639 | + | 0.205588i | \(0.934089\pi\) | |||||||
\(240\) | −0.00613315 | − | 0.128751i | −0.000395893 | − | 0.00831082i | ||||
\(241\) | 7.05919 | − | 5.55141i | 0.454722 | − | 0.357598i | −0.364375 | − | 0.931252i | \(-0.618717\pi\) |
0.819097 | + | 0.573655i | \(0.194475\pi\) | |||||||
\(242\) | −18.3342 | + | 14.4181i | −1.17856 | + | 0.926833i | ||||
\(243\) | −0.0437475 | − | 0.918373i | −0.00280640 | − | 0.0589137i | ||||
\(244\) | −1.85724 | + | 2.14337i | −0.118898 | + | 0.137215i | ||||
\(245\) | −18.8726 | + | 18.5790i | −1.20572 | + | 1.18697i | ||||
\(246\) | −0.286661 | − | 0.184226i | −0.0182769 | − | 0.0117458i | ||||
\(247\) | 0.889404 | − | 3.66617i | 0.0565914 | − | 0.233273i | ||||
\(248\) | 2.26436 | − | 6.54244i | 0.143787 | − | 0.415445i | ||||
\(249\) | 0.0659233 | + | 0.271739i | 0.00417772 | + | 0.0172208i | ||||
\(250\) | −16.2447 | − | 1.55118i | −1.02741 | − | 0.0981053i | ||||
\(251\) | −2.77500 | + | 19.3006i | −0.175156 | + | 1.21824i | 0.692626 | + | 0.721297i | \(0.256454\pi\) |
−0.867783 | + | 0.496944i | \(0.834456\pi\) | |||||||
\(252\) | −6.03753 | − | 5.14776i | −0.380329 | − | 0.324279i | ||||
\(253\) | −3.63085 | − | 27.8617i | −0.228270 | − | 1.75165i | ||||
\(254\) | −2.79362 | + | 4.83869i | −0.175287 | + | 0.303606i | ||||
\(255\) | 0.382669 | − | 0.153198i | 0.0239637 | − | 0.00959360i | ||||
\(256\) | 0.580057 | − | 0.814576i | 0.0362536 | − | 0.0509110i | ||||
\(257\) | −10.6257 | + | 10.1316i | −0.662814 | + | 0.631992i | −0.944885 | − | 0.327401i | \(-0.893827\pi\) |
0.282071 | + | 0.959394i | \(0.408979\pi\) | |||||||
\(258\) | −0.262408 | − | 0.302835i | −0.0163368 | − | 0.0188537i | ||||
\(259\) | −0.695514 | + | 0.503686i | −0.0432171 | + | 0.0312976i | ||||
\(260\) | 4.49178 | + | 2.88669i | 0.278568 | + | 0.179025i | ||||
\(261\) | 9.03628 | + | 12.6897i | 0.559332 | + | 0.785472i | ||||
\(262\) | 1.11172 | + | 0.214267i | 0.0686824 | + | 0.0132374i | ||||
\(263\) | −20.5777 | − | 10.6086i | −1.26888 | − | 0.654152i | −0.313514 | − | 0.949584i | \(-0.601506\pi\) |
−0.955364 | + | 0.295432i | \(0.904537\pi\) | |||||||
\(264\) | −0.185307 | − | 0.0741859i | −0.0114049 | − | 0.00456583i | ||||
\(265\) | −4.38938 | − | 30.5288i | −0.269637 | − | 1.87537i | ||||
\(266\) | −2.68081 | − | 6.54448i | −0.164371 | − | 0.401268i | ||||
\(267\) | 0.320948 | − | 0.370394i | 0.0196417 | − | 0.0226677i | ||||
\(268\) | 1.25267 | + | 1.75913i | 0.0765192 | + | 0.107456i | ||||
\(269\) | 1.20910 | − | 25.3821i | 0.0737199 | − | 1.54757i | −0.594798 | − | 0.803875i | \(-0.702768\pi\) |
0.668518 | − | 0.743696i | \(-0.266929\pi\) | |||||||
\(270\) | 0.559613 | + | 0.533590i | 0.0340570 | + | 0.0324733i | ||||
\(271\) | 13.0110 | − | 2.50767i | 0.790362 | − | 0.152330i | 0.221933 | − | 0.975062i | \(-0.428763\pi\) |
0.568429 | + | 0.822732i | \(0.307551\pi\) | |||||||
\(272\) | 3.06834 | + | 0.900945i | 0.186045 | + | 0.0546278i | ||||
\(273\) | −0.123387 | + | 0.0309780i | −0.00746770 | + | 0.00187487i | ||||
\(274\) | −0.856173 | + | 5.95481i | −0.0517233 | + | 0.359743i | ||||
\(275\) | −27.2820 | + | 47.2538i | −1.64517 | + | 2.84951i | ||||
\(276\) | 0.129760 | − | 0.0992975i | 0.00781061 | − | 0.00597701i | ||||
\(277\) | −1.72941 | − | 2.99542i | −0.103910 | − | 0.179977i | 0.809382 | − | 0.587282i | \(-0.199802\pi\) |
−0.913292 | + | 0.407305i | \(0.866469\pi\) | |||||||
\(278\) | 13.9541 | + | 10.9736i | 0.836909 | + | 0.658153i | ||||
\(279\) | 8.62468 | + | 18.8854i | 0.516346 | + | 1.13064i | ||||
\(280\) | 9.99420 | − | 0.556058i | 0.597268 | − | 0.0332308i | ||||
\(281\) | −7.23919 | − | 8.35447i | −0.431854 | − | 0.498386i | 0.497558 | − | 0.867431i | \(-0.334230\pi\) |
−0.929412 | + | 0.369045i | \(0.879685\pi\) | |||||||
\(282\) | 0.0676878 | − | 0.279013i | 0.00403075 | − | 0.0166150i | ||||
\(283\) | 0.224223 | − | 4.70702i | 0.0133287 | − | 0.279804i | −0.982357 | − | 0.187015i | \(-0.940119\pi\) |
0.995686 | − | 0.0927889i | \(-0.0295782\pi\) | |||||||
\(284\) | −6.01998 | + | 0.574838i | −0.357220 | + | 0.0341104i | ||||
\(285\) | 0.112691 | + | 0.325600i | 0.00667524 | + | 0.0192869i | ||||
\(286\) | 6.95583 | − | 4.47024i | 0.411307 | − | 0.264331i | ||||
\(287\) | 14.1282 | − | 22.3746i | 0.833962 | − | 1.32073i | ||||
\(288\) | 0.426779 | + | 2.96832i | 0.0251482 | + | 0.174910i | ||||
\(289\) | −0.322302 | − | 6.76594i | −0.0189589 | − | 0.397997i | ||||
\(290\) | −19.2982 | − | 3.71942i | −1.13323 | − | 0.218412i | ||||
\(291\) | −0.340700 | + | 0.0325329i | −0.0199722 | + | 0.00190711i | ||||
\(292\) | −5.51059 | + | 2.84091i | −0.322483 | + | 0.166252i | ||||
\(293\) | −21.3099 | + | 6.25714i | −1.24494 | + | 0.365546i | −0.836868 | − | 0.547405i | \(-0.815616\pi\) |
−0.408068 | + | 0.912951i | \(0.633797\pi\) | |||||||
\(294\) | −0.153281 | + | 0.182708i | −0.00893952 | + | 0.0106558i | ||||
\(295\) | −18.0095 | − | 5.28807i | −1.04856 | − | 0.307884i | ||||
\(296\) | 0.323105 | + | 0.0308527i | 0.0187801 | + | 0.00179328i | ||||
\(297\) | 1.11163 | − | 0.445029i | 0.0645033 | − | 0.0258232i | ||||
\(298\) | 9.28983 | + | 16.0905i | 0.538145 | + | 0.932095i | ||||
\(299\) | 0.232696 | + | 6.76438i | 0.0134572 | + | 0.391194i | ||||
\(300\) | −0.317305 | −0.0183196 | ||||||||
\(301\) | 23.3537 | − | 20.5647i | 1.34609 | − | 1.18533i | ||||
\(302\) | 3.93952 | + | 8.62635i | 0.226694 | + | 0.496391i | ||||
\(303\) | −0.177941 | + | 0.169666i | −0.0102224 | + | 0.00974708i | ||||
\(304\) | −0.874274 | + | 2.52605i | −0.0501431 | + | 0.144879i | ||||
\(305\) | 7.76549 | + | 7.40438i | 0.444651 | + | 0.423973i | ||||
\(306\) | −8.52385 | + | 4.39435i | −0.487276 | + | 0.251208i | ||||
\(307\) | 10.0209 | − | 21.9426i | 0.571921 | − | 1.25233i | −0.373848 | − | 0.927490i | \(-0.621962\pi\) |
0.945768 | − | 0.324842i | \(-0.105311\pi\) | |||||||
\(308\) | 5.64598 | − | 14.4358i | 0.321710 | − | 0.822558i | ||||
\(309\) | −0.231014 | + | 0.148464i | −0.0131419 | + | 0.00844580i | ||||
\(310\) | −24.3163 | − | 9.73479i | −1.38107 | − | 0.552899i | ||||
\(311\) | −5.28523 | + | 4.15635i | −0.299698 | + | 0.235685i | −0.756672 | − | 0.653795i | \(-0.773176\pi\) |
0.456974 | + | 0.889480i | \(0.348933\pi\) | |||||||
\(312\) | 0.0427380 | + | 0.0220330i | 0.00241956 | + | 0.00124737i | ||||
\(313\) | 2.32571 | + | 6.71971i | 0.131457 | + | 0.379820i | 0.991450 | − | 0.130485i | \(-0.0416535\pi\) |
−0.859993 | + | 0.510306i | \(0.829532\pi\) | |||||||
\(314\) | 0.682825 | − | 1.49518i | 0.0385341 | − | 0.0843778i | ||||
\(315\) | −20.5403 | + | 21.8892i | −1.15732 | + | 1.23332i | ||||
\(316\) | −3.81982 | + | 1.12160i | −0.214882 | + | 0.0630949i | ||||
\(317\) | 31.6488 | − | 6.09981i | 1.77757 | − | 0.342599i | 0.808336 | − | 0.588722i | \(-0.200369\pi\) |
0.969239 | + | 0.246123i | \(0.0791566\pi\) | |||||||
\(318\) | −0.0654820 | − | 0.269921i | −0.00367205 | − | 0.0151364i | ||||
\(319\) | −17.6538 | + | 24.7913i | −0.988421 | + | 1.38804i | ||||
\(320\) | −2.97387 | − | 2.33868i | −0.166244 | − | 0.130736i | ||||
\(321\) | 0.111846 | 0.00624264 | ||||||||
\(322\) | 7.79126 | + | 10.0148i | 0.434190 | + | 0.558103i | ||||
\(323\) | −8.54812 | −0.475630 | ||||||||
\(324\) | −7.06627 | − | 5.55697i | −0.392570 | − | 0.308721i | ||||
\(325\) | 7.62424 | − | 10.7067i | 0.422917 | − | 0.593904i | ||||
\(326\) | 0.997517 | + | 4.11182i | 0.0552473 | + | 0.227733i | ||||
\(327\) | −0.0355634 | + | 0.00685429i | −0.00196666 | + | 0.000379043i | ||||
\(328\) | −9.59649 | + | 2.81778i | −0.529877 | + | 0.155586i | ||||
\(329\) | 21.7084 | + | 5.08330i | 1.19682 | + | 0.280251i | ||||
\(330\) | −0.313708 | + | 0.686924i | −0.0172690 | + | 0.0378139i | ||||
\(331\) | 3.16453 | + | 9.14331i | 0.173938 | + | 0.502562i | 0.997949 | − | 0.0640124i | \(-0.0203897\pi\) |
−0.824011 | + | 0.566574i | \(0.808268\pi\) | |||||||
\(332\) | 7.29492 | + | 3.76079i | 0.400361 | + | 0.206400i | ||||
\(333\) | −0.765102 | + | 0.601683i | −0.0419273 | + | 0.0329720i | ||||
\(334\) | 4.02829 | + | 1.61269i | 0.220418 | + | 0.0882422i | ||||
\(335\) | 6.87329 | − | 4.41719i | 0.375528 | − | 0.241337i | ||||
\(336\) | 0.0891179 | − | 0.0135400i | 0.00486178 | − | 0.000738668i | ||||
\(337\) | −5.16521 | + | 11.3102i | −0.281367 | + | 0.616108i | −0.996565 | − | 0.0828141i | \(-0.973609\pi\) |
0.715198 | + | 0.698922i | \(0.246337\pi\) | |||||||
\(338\) | 9.78449 | − | 5.04426i | 0.532206 | − | 0.274371i | ||||
\(339\) | 0.00302516 | + | 0.00288448i | 0.000164304 | + | 0.000156664i | ||||
\(340\) | 3.95703 | − | 11.4331i | 0.214600 | − | 0.620046i | ||||
\(341\) | −29.3554 | + | 27.9903i | −1.58968 | + | 1.51576i | ||||
\(342\) | −3.33001 | − | 7.29170i | −0.180066 | − | 0.394290i | ||||
\(343\) | −14.2830 | − | 11.7896i | −0.771211 | − | 0.636580i | ||||
\(344\) | −11.7613 | −0.634129 | ||||||||
\(345\) | −0.351888 | − | 0.508238i | −0.0189450 | − | 0.0273626i | ||||
\(346\) | −10.9270 | − | 18.9261i | −0.587438 | − | 1.01747i | ||||
\(347\) | 23.5667 | − | 9.43470i | 1.26513 | − | 0.506481i | 0.360531 | − | 0.932747i | \(-0.382595\pi\) |
0.904598 | + | 0.426266i | \(0.140171\pi\) | |||||||
\(348\) | −0.176184 | − | 0.0168235i | −0.00944446 | − | 0.000901836i | ||||
\(349\) | 14.8591 | + | 4.36303i | 0.795389 | + | 0.233547i | 0.654087 | − | 0.756419i | \(-0.273053\pi\) |
0.141302 | + | 0.989967i | \(0.454871\pi\) | |||||||
\(350\) | −0.196652 | − | 24.6400i | −0.0105115 | − | 1.31706i | ||||
\(351\) | −0.276759 | + | 0.0812638i | −0.0147723 | + | 0.00433754i | ||||
\(352\) | −5.20742 | + | 2.68461i | −0.277556 | + | 0.143090i | ||||
\(353\) | 23.6451 | − | 2.25783i | 1.25850 | − | 0.120172i | 0.555594 | − | 0.831454i | \(-0.312491\pi\) |
0.702907 | + | 0.711282i | \(0.251885\pi\) | |||||||
\(354\) | −0.165975 | − | 0.0319890i | −0.00882145 | − | 0.00170020i | ||||
\(355\) | 1.08862 | + | 22.8530i | 0.0577782 | + | 1.21291i | ||||
\(356\) | −2.04722 | − | 14.2387i | −0.108502 | − | 0.754651i | ||||
\(357\) | 0.134128 | + | 0.255152i | 0.00709881 | + | 0.0135041i | ||||
\(358\) | 16.3572 | − | 10.5121i | 0.864504 | − | 0.555583i | ||||
\(359\) | 1.30604 | + | 3.77357i | 0.0689304 | + | 0.199161i | 0.974205 | − | 0.225666i | \(-0.0724559\pi\) |
−0.905274 | + | 0.424828i | \(0.860335\pi\) | |||||||
\(360\) | 11.2941 | − | 1.07846i | 0.595253 | − | 0.0568397i | ||||
\(361\) | −0.564070 | + | 11.8413i | −0.0296879 | + | 0.623226i | ||||
\(362\) | 1.72933 | − | 7.12841i | 0.0908918 | − | 0.374661i | ||||
\(363\) | 0.520391 | + | 0.600563i | 0.0273134 | + | 0.0315214i | ||||
\(364\) | −1.68446 | + | 3.33243i | −0.0882897 | + | 0.174667i | ||||
\(365\) | 9.74383 | + | 21.3360i | 0.510015 | + | 1.11678i | ||||
\(366\) | 0.0759526 | + | 0.0597298i | 0.00397011 | + | 0.00312213i | ||||
\(367\) | −5.66879 | − | 9.81863i | −0.295908 | − | 0.512528i | 0.679287 | − | 0.733872i | \(-0.262289\pi\) |
−0.975196 | + | 0.221344i | \(0.928956\pi\) | |||||||
\(368\) | 0.291470 | − | 4.78697i | 0.0151939 | − | 0.249538i | ||||
\(369\) | 14.9966 | − | 25.9749i | 0.780694 | − | 1.35220i | ||||
\(370\) | 0.174757 | − | 1.21546i | 0.00908518 | − | 0.0631888i | ||||
\(371\) | 20.9198 | − | 5.25223i | 1.08610 | − | 0.272682i | ||||
\(372\) | −0.226319 | − | 0.0664533i | −0.0117341 | − | 0.00344544i | ||||
\(373\) | −1.29856 | + | 0.250278i | −0.0672371 | + | 0.0129589i | −0.222759 | − | 0.974874i | \(-0.571506\pi\) |
0.155522 | + | 0.987832i | \(0.450294\pi\) | |||||||
\(374\) | −13.5594 | − | 12.9289i | −0.701141 | − | 0.668536i | ||||
\(375\) | −0.0264543 | + | 0.555344i | −0.00136609 | + | 0.0286779i | ||||
\(376\) | −4.88811 | − | 6.86439i | −0.252085 | − | 0.354004i | ||||
\(377\) | 4.80105 | − | 5.54070i | 0.247267 | − | 0.285361i | ||||
\(378\) | −0.330860 | + | 0.427704i | −0.0170176 | + | 0.0219987i | ||||
\(379\) | −1.23769 | − | 8.60834i | −0.0635760 | − | 0.442181i | −0.996602 | − | 0.0823711i | \(-0.973751\pi\) |
0.933026 | − | 0.359810i | \(-0.117158\pi\) | |||||||
\(380\) | 9.38858 | + | 3.75862i | 0.481624 | + | 0.192813i | ||||
\(381\) | 0.169196 | + | 0.0872266i | 0.00866817 | + | 0.00446875i | ||||
\(382\) | −17.4547 | − | 3.36412i | −0.893061 | − | 0.172123i | ||||
\(383\) | −2.56408 | − | 3.60074i | −0.131018 | − | 0.183989i | 0.743855 | − | 0.668341i | \(-0.232995\pi\) |
−0.874874 | + | 0.484351i | \(0.839056\pi\) | |||||||
\(384\) | −0.0286615 | − | 0.0184196i | −0.00146262 | − | 0.000939972i | ||||
\(385\) | −53.5368 | − | 23.9349i | −2.72849 | − | 1.21984i | ||||
\(386\) | −14.6346 | − | 16.8893i | −0.744883 | − | 0.859640i | ||||
\(387\) | 25.5264 | − | 24.3394i | 1.29758 | − | 1.23724i | ||||
\(388\) | −5.82696 | + | 8.18282i | −0.295819 | + | 0.415420i | ||||
\(389\) | −22.7288 | + | 9.09923i | −1.15239 | + | 0.461349i | −0.867612 | − | 0.497243i | \(-0.834346\pi\) |
−0.284783 | + | 0.958592i | \(0.591922\pi\) | |||||||
\(390\) | 0.0909564 | − | 0.157541i | 0.00460575 | − | 0.00797740i | ||||
\(391\) | 14.7710 | − | 4.12597i | 0.747003 | − | 0.208659i | ||||
\(392\) | 1.10667 | + | 6.91197i | 0.0558951 | + | 0.349107i | ||||
\(393\) | 0.00548956 | − | 0.0381808i | 0.000276912 | − | 0.00192596i | ||||
\(394\) | −10.8176 | − | 1.03295i | −0.544981 | − | 0.0520394i | ||||
\(395\) | 3.55091 | + | 14.6370i | 0.178666 | + | 0.736469i | ||||
\(396\) | 5.74635 | − | 16.6030i | 0.288765 | − | 0.834332i | ||||
\(397\) | −8.45617 | + | 34.8568i | −0.424403 | + | 1.74941i | 0.211244 | + | 0.977433i | \(0.432249\pi\) |
−0.635647 | + | 0.771980i | \(0.719267\pi\) | |||||||
\(398\) | 9.58848 | + | 6.16214i | 0.480627 | + | 0.308880i | ||||
\(399\) | −0.218372 | + | 0.101841i | −0.0109323 | + | 0.00509843i | ||||
\(400\) | −6.09893 | + | 7.03854i | −0.304947 | + | 0.351927i | ||||
\(401\) | −0.00884854 | − | 0.185754i | −0.000441875 | − | 0.00927610i | 0.998636 | − | 0.0522195i | \(-0.0166295\pi\) |
−0.999078 | + | 0.0429434i | \(0.986327\pi\) | |||||||
\(402\) | 0.0578350 | − | 0.0454819i | 0.00288455 | − | 0.00226843i | ||||
\(403\) | 7.68034 | − | 6.03989i | 0.382585 | − | 0.300868i | ||||
\(404\) | 0.343374 | + | 7.20831i | 0.0170835 | + | 0.358627i | ||||
\(405\) | −22.2719 | + | 25.7032i | −1.10670 | + | 1.27720i | ||||
\(406\) | 1.19722 | − | 13.6918i | 0.0594172 | − | 0.679513i | ||||
\(407\) | −1.59971 | − | 1.02807i | −0.0792948 | − | 0.0509597i | ||||
\(408\) | 0.0256863 | − | 0.105880i | 0.00127166 | − | 0.00524185i | ||||
\(409\) | −0.521472 | + | 1.50670i | −0.0257851 | + | 0.0745013i | −0.957159 | − | 0.289563i | \(-0.906490\pi\) |
0.931374 | + | 0.364064i | \(0.118611\pi\) | |||||||
\(410\) | 8.92091 | + | 36.7725i | 0.440572 | + | 1.81606i | ||||
\(411\) | 0.204038 | + | 0.0194833i | 0.0100645 | + | 0.000961040i | ||||
\(412\) | −1.14707 | + | 7.97804i | −0.0565120 | + | 0.393050i | ||||
\(413\) | 2.38121 | − | 12.9084i | 0.117172 | − | 0.635181i | ||||
\(414\) | 9.27373 | + | 10.9926i | 0.455779 | + | 0.540258i | ||||
\(415\) | 15.5253 | − | 26.8906i | 0.762106 | − | 1.32001i | ||||
\(416\) | 1.31021 | − | 0.524529i | 0.0642384 | − | 0.0257172i | ||||
\(417\) | 0.350825 | − | 0.492665i | 0.0171800 | − | 0.0241259i | ||||
\(418\) | 11.3342 | − | 10.8071i | 0.554372 | − | 0.528593i | ||||
\(419\) | 20.0988 | + | 23.1953i | 0.981893 | + | 1.13316i | 0.991088 | + | 0.133207i | \(0.0425275\pi\) |
−0.00919539 | + | 0.999958i | \(0.502927\pi\) | |||||||
\(420\) | −0.0351252 | − | 0.339215i | −0.00171393 | − | 0.0165520i | ||||
\(421\) | 19.6092 | + | 12.6021i | 0.955693 | + | 0.614187i | 0.922803 | − | 0.385272i | \(-0.125892\pi\) |
0.0328904 | + | 0.999459i | \(0.489529\pi\) | |||||||
\(422\) | −9.94762 | − | 13.9695i | −0.484243 | − | 0.680024i | ||||
\(423\) | 24.8144 | + | 4.78258i | 1.20652 | + | 0.232537i | ||||
\(424\) | −7.24609 | − | 3.73562i | −0.351901 | − | 0.181418i | ||||
\(425\) | −27.6494 | − | 11.0692i | −1.34119 | − | 0.536933i | ||||
\(426\) | 0.0293216 | + | 0.203936i | 0.00142064 | + | 0.00988074i | ||||
\(427\) | −4.59118 | + | 5.93504i | −0.222183 | + | 0.287217i | ||||
\(428\) | 2.14980 | − | 2.48100i | 0.103915 | − | 0.119924i | ||||
\(429\) | −0.163405 | − | 0.229470i | −0.00788925 | − | 0.0110789i | ||||
\(430\) | −2.11724 | + | 44.4463i | −0.102102 | + | 2.14339i | ||||
\(431\) | −1.12195 | − | 1.06978i | −0.0540424 | − | 0.0515293i | 0.662577 | − | 0.748994i | \(-0.269463\pi\) |
−0.716619 | + | 0.697465i | \(0.754311\pi\) | |||||||
\(432\) | 0.200687 | − | 0.0386792i | 0.00965555 | − | 0.00186095i | ||||
\(433\) | −30.1458 | − | 8.85161i | −1.44872 | − | 0.425381i | −0.539598 | − | 0.841923i | \(-0.681424\pi\) |
−0.909117 | + | 0.416541i | \(0.863242\pi\) | |||||||
\(434\) | 5.02009 | − | 17.6157i | 0.240972 | − | 0.845583i | ||||
\(435\) | −0.0952924 | + | 0.662773i | −0.00456892 | + | 0.0317775i | ||||
\(436\) | −0.531523 | + | 0.920625i | −0.0254553 | + | 0.0440899i | ||||
\(437\) | 2.85746 | + | 12.4971i | 0.136691 | + | 0.597815i | ||||
\(438\) | 0.105613 | + | 0.182928i | 0.00504640 | + | 0.00874062i | ||||
\(439\) | −14.4107 | − | 11.3327i | −0.687787 | − | 0.540882i | 0.211968 | − | 0.977277i | \(-0.432013\pi\) |
−0.899755 | + | 0.436395i | \(0.856255\pi\) | |||||||
\(440\) | 9.20775 | + | 20.1622i | 0.438962 | + | 0.961193i | ||||
\(441\) | −16.7057 | − | 12.7113i | −0.795512 | − | 0.605300i | ||||
\(442\) | 2.95550 | + | 3.41083i | 0.140579 | + | 0.162237i | ||||
\(443\) | 1.45069 | − | 5.97982i | 0.0689244 | − | 0.284110i | −0.926911 | − | 0.375282i | \(-0.877546\pi\) |
0.995835 | + | 0.0911715i | \(0.0290612\pi\) | |||||||
\(444\) | 0.000526172 | − | 0.0110457i | 2.49710e−5 | − | 0.000524206i | ||||
\(445\) | −54.1768 | + | 5.17326i | −2.56823 | + | 0.245236i | ||||
\(446\) | 4.67307 | + | 13.5020i | 0.221276 | + | 0.639336i | ||||
\(447\) | 0.532520 | − | 0.342230i | 0.0251874 | − | 0.0161869i | ||||
\(448\) | 1.41259 | − | 2.23709i | 0.0667387 | − | 0.105693i | ||||
\(449\) | 0.542303 | + | 3.77180i | 0.0255929 | + | 0.178002i | 0.998608 | − | 0.0527372i | \(-0.0167946\pi\) |
−0.973016 | + | 0.230740i | \(0.925885\pi\) | |||||||
\(450\) | −1.32892 | − | 27.8975i | −0.0626461 | − | 1.31510i | ||||
\(451\) | 57.5376 | + | 11.0895i | 2.70934 | + | 0.522182i | ||||
\(452\) | 0.122131 | − | 0.0116621i | 0.00574456 | − | 0.000548539i | ||||
\(453\) | 0.287180 | − | 0.148052i | 0.0134929 | − | 0.00695607i | ||||
\(454\) | 0.880665 | − | 0.258586i | 0.0413316 | − | 0.0121361i | ||||
\(455\) | 12.2901 | + | 6.96548i | 0.576167 | + | 0.326547i | ||||
\(456\) | 0.0873822 | + | 0.0256577i | 0.00409205 | + | 0.00120153i | ||||
\(457\) | 1.81847 | + | 0.173643i | 0.0850644 | + | 0.00812267i | 0.137501 | − | 0.990502i | \(-0.456093\pi\) |
−0.0524370 | + | 0.998624i | \(0.516699\pi\) | |||||||
\(458\) | 11.4754 | − | 4.59408i | 0.536212 | − | 0.214667i | ||||
\(459\) | 0.326791 | + | 0.566018i | 0.0152533 | + | 0.0264195i | ||||
\(460\) | −18.0375 | − | 1.96320i | −0.841004 | − | 0.0915347i | ||||
\(461\) | 25.0170 | 1.16516 | 0.582578 | − | 0.812775i | \(-0.302044\pi\) | ||||
0.582578 | + | 0.812775i | \(0.302044\pi\) | |||||||
\(462\) | −0.500424 | − | 0.168738i | −0.0232818 | − | 0.00785042i | ||||
\(463\) | 5.64387 | + | 12.3584i | 0.262293 | + | 0.574341i | 0.994259 | − | 0.107000i | \(-0.0341244\pi\) |
−0.731966 | + | 0.681341i | \(0.761397\pi\) | |||||||
\(464\) | −3.75963 | + | 3.58480i | −0.174536 | + | 0.166420i | ||||
\(465\) | −0.291869 | + | 0.843299i | −0.0135351 | + | 0.0391071i | ||||
\(466\) | 5.31223 | + | 5.06521i | 0.246084 | + | 0.234641i | ||||
\(467\) | 3.50875 | − | 1.80889i | 0.162366 | − | 0.0837054i | −0.375128 | − | 0.926973i | \(-0.622401\pi\) |
0.537494 | + | 0.843268i | \(0.319371\pi\) | |||||||
\(468\) | −1.75815 | + | 3.84982i | −0.0812706 | + | 0.177958i | ||||
\(469\) | 3.56770 | + | 4.46293i | 0.164741 | + | 0.206079i | ||||
\(470\) | −26.8205 | + | 17.2365i | −1.23714 | + | 0.795061i | ||||
\(471\) | −0.0519899 | − | 0.0208136i | −0.00239557 | − | 0.000959041i | ||||
\(472\) | −3.89980 | + | 3.06683i | −0.179503 | + | 0.141162i | ||||
\(473\) | 61.2462 | + | 31.5746i | 2.81610 | + | 1.45180i | ||||
\(474\) | 0.0443619 | + | 0.128175i | 0.00203761 | + | 0.00588729i | ||||
\(475\) | 10.3418 | − | 22.6454i | 0.474515 | − | 1.03904i | ||||
\(476\) | 8.23794 | + | 1.92902i | 0.377585 | + | 0.0884165i | ||||
\(477\) | 23.4573 | − | 6.88768i | 1.07403 | − | 0.315365i | ||||
\(478\) | 24.1744 | − | 4.65923i | 1.10571 | − | 0.213108i | ||||
\(479\) | −3.20266 | − | 13.2015i | −0.146333 | − | 0.603193i | −0.996994 | − | 0.0774785i | \(-0.975313\pi\) |
0.850661 | − | 0.525715i | \(-0.176202\pi\) | |||||||
\(480\) | −0.0747674 | + | 0.104996i | −0.00341265 | + | 0.00479240i | ||||
\(481\) | 0.360070 | + | 0.283162i | 0.0164178 | + | 0.0129111i | ||||
\(482\) | −8.98055 | −0.409053 | ||||||||
\(483\) | 0.328187 | − | 0.281383i | 0.0149330 | − | 0.0128033i | ||||
\(484\) | 23.3243 | 1.06020 | ||||||||
\(485\) | 29.8740 | + | 23.4932i | 1.35651 | + | 1.06677i | ||||
\(486\) | −0.533313 | + | 0.748933i | −0.0241916 | + | 0.0339723i | ||||
\(487\) | 0.737477 | + | 3.03992i | 0.0334183 | + | 0.137752i | 0.986077 | − | 0.166290i | \(-0.0531788\pi\) |
−0.952659 | + | 0.304042i | \(0.901664\pi\) | |||||||
\(488\) | 2.78483 | − | 0.536733i | 0.126064 | − | 0.0242968i | ||||
\(489\) | 0.138314 | − | 0.0406126i | 0.00625477 | − | 0.00183657i | ||||
\(490\) | 26.3196 | − | 2.93784i | 1.18900 | − | 0.132718i | ||||
\(491\) | 0.170517 | − | 0.373380i | 0.00769532 | − | 0.0168504i | −0.905745 | − | 0.423822i | \(-0.860688\pi\) |
0.913441 | + | 0.406972i | \(0.133415\pi\) | |||||||
\(492\) | 0.111450 | + | 0.322014i | 0.00502456 | + | 0.0145175i | ||||
\(493\) | −14.7655 | − | 7.61215i | −0.665005 | − | 0.342834i | ||||
\(494\) | −2.96540 | + | 2.33201i | −0.133419 | + | 0.104922i | ||||
\(495\) | −61.7084 | − | 24.7043i | −2.77359 | − | 1.11038i | ||||
\(496\) | −5.82418 | + | 3.74297i | −0.261513 | + | 0.168064i | ||||
\(497\) | −15.8183 | + | 2.40333i | −0.709547 | + | 0.107804i | ||||
\(498\) | 0.116159 | − | 0.254353i | 0.00520521 | − | 0.0113978i | ||||
\(499\) | 31.0269 | − | 15.9955i | 1.38895 | − | 0.716056i | 0.408492 | − | 0.912762i | \(-0.366055\pi\) |
0.980462 | + | 0.196706i | \(0.0630245\pi\) | |||||||
\(500\) | 11.8103 | + | 11.2611i | 0.528174 | + | 0.503613i | ||||
\(501\) | 0.0483516 | − | 0.139703i | 0.00216019 | − | 0.00624146i | ||||
\(502\) | 14.1121 | − | 13.4559i | 0.629854 | − | 0.600565i | ||||
\(503\) | −10.9794 | − | 24.0415i | −0.489546 | − | 1.07196i | −0.979727 | − | 0.200336i | \(-0.935797\pi\) |
0.490181 | − | 0.871621i | \(-0.336931\pi\) | |||||||
\(504\) | 1.56368 | + | 7.77857i | 0.0696520 | + | 0.346485i | ||||
\(505\) | 27.3021 | 1.21493 | ||||||||
\(506\) | −14.3689 | + | 24.1452i | −0.638777 | + | 1.07339i | ||||
\(507\) | −0.187525 | − | 0.324802i | −0.00832827 | − | 0.0144250i | ||||
\(508\) | 5.18701 | − | 2.07657i | 0.230136 | − | 0.0921327i | ||||
\(509\) | −15.2750 | − | 1.45859i | −0.677054 | − | 0.0646509i | −0.249136 | − | 0.968468i | \(-0.580147\pi\) |
−0.427918 | + | 0.903818i | \(0.640753\pi\) | |||||||
\(510\) | −0.395498 | − | 0.116129i | −0.0175130 | − | 0.00514227i | ||||
\(511\) | −14.1396 | + | 8.31466i | −0.625499 | + | 0.367819i | ||||
\(512\) | −0.959493 | + | 0.281733i | −0.0424040 | + | 0.0124509i | ||||
\(513\) | −0.485590 | + | 0.250339i | −0.0214393 | + | 0.0110527i | ||||
\(514\) | 14.6153 | − | 1.39559i | 0.644654 | − | 0.0615570i | ||||
\(515\) | 29.9426 | + | 5.77096i | 1.31943 | + | 0.254299i | ||||
\(516\) | 0.0190665 | + | 0.400255i | 0.000839355 | + | 0.0176202i | ||||
\(517\) | 7.02622 | + | 48.8684i | 0.309013 | + | 2.14923i | ||||
\(518\) | 0.858069 | + | 0.0340137i | 0.0377014 | + | 0.00149447i | ||||
\(519\) | −0.626367 | + | 0.402542i | −0.0274945 | + | 0.0176696i | ||||
\(520\) | −1.74634 | − | 5.04573i | −0.0765822 | − | 0.221270i | ||||
\(521\) | −40.9865 | + | 3.91373i | −1.79565 | + | 0.171464i | −0.938882 | − | 0.344239i | \(-0.888137\pi\) |
−0.856767 | + | 0.515703i | \(0.827531\pi\) | |||||||
\(522\) | 0.741244 | − | 15.5606i | 0.0324434 | − | 0.681070i | ||||
\(523\) | 2.21676 | − | 9.13760i | 0.0969321 | − | 0.399560i | −0.902589 | − | 0.430503i | \(-0.858336\pi\) |
0.999521 | + | 0.0309437i | \(0.00985126\pi\) | |||||||
\(524\) | −0.741421 | − | 0.855646i | −0.0323891 | − | 0.0373791i | ||||
\(525\) | −0.838213 | + | 0.0466365i | −0.0365826 | + | 0.00203539i | ||||
\(526\) | 9.61742 | + | 21.0592i | 0.419339 | + | 0.918225i | ||||
\(527\) | −17.4029 | − | 13.6858i | −0.758080 | − | 0.596161i | ||||
\(528\) | 0.0998028 | + | 0.172863i | 0.00434336 | + | 0.00752292i | ||||
\(529\) | −10.9697 | − | 20.2155i | −0.476942 | − | 0.878935i | ||||
\(530\) | −15.4214 | + | 26.7106i | −0.669861 | + | 1.16023i | ||||
\(531\) | 2.11735 | − | 14.7265i | 0.0918853 | − | 0.639077i | ||||
\(532\) | −1.93827 | + | 6.80148i | −0.0840346 | + | 0.294881i | ||||
\(533\) | −13.5436 | − | 3.97675i | −0.586638 | − | 0.172252i | ||||
\(534\) | −0.481244 | + | 0.0927523i | −0.0208255 | + | 0.00401378i | ||||
\(535\) | −8.98874 | − | 8.57075i | −0.388617 | − | 0.370546i | ||||
\(536\) | 0.102756 | − | 2.15712i | 0.00443840 | − | 0.0931735i | ||||
\(537\) | −0.384259 | − | 0.539616i | −0.0165820 | − | 0.0232862i | ||||
\(538\) | −16.6406 | + | 19.2042i | −0.717426 | + | 0.827953i | ||||
\(539\) | 12.7931 | − | 38.9645i | 0.551036 | − | 1.67832i | ||||
\(540\) | −0.110042 | − | 0.765360i | −0.00473546 | − | 0.0329359i | ||||
\(541\) | −8.18715 | − | 3.27764i | −0.351993 | − | 0.140917i | 0.188926 | − | 0.981991i | \(-0.439499\pi\) |
−0.540919 | + | 0.841075i | \(0.681924\pi\) | |||||||
\(542\) | −11.7775 | − | 6.07171i | −0.505886 | − | 0.260802i | ||||
\(543\) | −0.245393 | − | 0.0472956i | −0.0105308 | − | 0.00202965i | ||||
\(544\) | −1.85495 | − | 2.60491i | −0.0795302 | − | 0.111685i | ||||
\(545\) | 3.38337 | + | 2.17436i | 0.144928 | + | 0.0931393i | ||||
\(546\) | 0.116138 | + | 0.0519222i | 0.00497024 | + | 0.00222207i | ||||
\(547\) | 2.91340 | + | 3.36225i | 0.124568 | + | 0.143759i | 0.814608 | − | 0.580012i | \(-0.196952\pi\) |
−0.690039 | + | 0.723772i | \(0.742407\pi\) | |||||||
\(548\) | 4.35402 | − | 4.15155i | 0.185994 | − | 0.177345i | ||||
\(549\) | −4.93336 | + | 6.92794i | −0.210551 | + | 0.295677i | ||||
\(550\) | 50.6554 | − | 20.2794i | 2.15995 | − | 0.864715i | ||||
\(551\) | 6.94297 | − | 12.0256i | 0.295781 | − | 0.512307i | ||||
\(552\) | −0.163380 | − | 0.00215890i | −0.00695389 | − | 9.18889e-5i | ||||
\(553\) | −9.92583 | + | 3.52432i | −0.422089 | + | 0.149869i | ||||
\(554\) | −0.492240 | + | 3.42361i | −0.0209133 | + | 0.145455i | ||||
\(555\) | −0.0416471 | − | 0.00397682i | −0.00176782 | − | 0.000168807i | ||||
\(556\) | −4.18521 | − | 17.2517i | −0.177492 | − | 0.731634i | ||||
\(557\) | −6.23993 | + | 18.0291i | −0.264394 | + | 0.763917i | 0.732172 | + | 0.681120i | \(0.238507\pi\) |
−0.996566 | + | 0.0827975i | \(0.973615\pi\) | |||||||
\(558\) | 4.89473 | − | 20.1764i | 0.207211 | − | 0.854133i | ||||
\(559\) | −13.9638 | − | 8.97402i | −0.590608 | − | 0.379561i | ||||
\(560\) | −8.19971 | − | 5.74092i | −0.346501 | − | 0.242598i | ||||
\(561\) | −0.418006 | + | 0.482405i | −0.0176482 | + | 0.0203671i | ||||
\(562\) | 0.525997 | + | 11.0420i | 0.0221878 | + | 0.465780i | ||||
\(563\) | 1.89981 | − | 1.49402i | 0.0800673 | − | 0.0629656i | −0.577323 | − | 0.816516i | \(-0.695903\pi\) |
0.657390 | + | 0.753550i | \(0.271660\pi\) | |||||||
\(564\) | −0.225680 | + | 0.177477i | −0.00950286 | + | 0.00747313i | ||||
\(565\) | −0.0220856 | − | 0.463634i | −0.000929149 | − | 0.0195052i | ||||
\(566\) | −3.08594 | + | 3.56136i | −0.129712 | + | 0.149695i | ||||
\(567\) | −19.4835 | − | 13.6411i | −0.818229 | − | 0.572872i | ||||
\(568\) | 5.08736 | + | 3.26945i | 0.213461 | + | 0.137183i | ||||
\(569\) | −8.85791 | + | 36.5128i | −0.371343 | + | 1.53070i | 0.413211 | + | 0.910635i | \(0.364407\pi\) |
−0.784554 | + | 0.620061i | \(0.787108\pi\) | |||||||
\(570\) | 0.112691 | − | 0.325600i | 0.00472011 | − | 0.0136379i | ||||
\(571\) | 2.49293 | + | 10.2760i | 0.104326 | + | 0.430037i | 0.999889 | − | 0.0148976i | \(-0.00474222\pi\) |
−0.895563 | + | 0.444934i | \(0.853227\pi\) | |||||||
\(572\) | −8.23097 | − | 0.785962i | −0.344154 | − | 0.0328627i | ||||
\(573\) | −0.0861896 | + | 0.599462i | −0.00360062 | + | 0.0250429i | ||||
\(574\) | −24.9366 | + | 8.85411i | −1.04083 | + | 0.369563i | ||||
\(575\) | −6.94011 | + | 44.1227i | −0.289422 | + | 1.84004i | ||||
\(576\) | 1.49942 | − | 2.59707i | 0.0624758 | − | 0.108211i | ||||
\(577\) | −38.6657 | + | 15.4794i | −1.60967 | + | 0.644416i | −0.990080 | − | 0.140506i | \(-0.955127\pi\) |
−0.619595 | + | 0.784922i | \(0.712703\pi\) | |||||||
\(578\) | −3.92908 | + | 5.51762i | −0.163428 | + | 0.229503i | ||||
\(579\) | −0.551040 | + | 0.525416i | −0.0229004 | + | 0.0218355i | ||||
\(580\) | 12.8702 | + | 14.8530i | 0.534406 | + | 0.616737i | ||||
\(581\) | 19.8235 | + | 8.86257i | 0.822417 | + | 0.367681i | ||||
\(582\) | 0.287919 | + | 0.185034i | 0.0119346 | + | 0.00766991i | ||||
\(583\) | 27.7047 | + | 38.9059i | 1.14741 | + | 1.61132i | ||||
\(584\) | 6.08775 | + | 1.17332i | 0.251913 | + | 0.0485522i | ||||
\(585\) | 14.2320 | + | 7.33711i | 0.588421 | + | 0.303352i | ||||
\(586\) | 20.6186 | + | 8.25444i | 0.851747 | + | 0.340988i | ||||
\(587\) | 3.20686 | + | 22.3042i | 0.132361 | + | 0.920592i | 0.942465 | + | 0.334305i | \(0.108502\pi\) |
−0.810104 | + | 0.586287i | \(0.800589\pi\) | |||||||
\(588\) | 0.233430 | − | 0.0488665i | 0.00962648 | − | 0.00201522i | ||||
\(589\) | 12.1190 | − | 13.9861i | 0.499354 | − | 0.576285i | ||||
\(590\) | 10.8876 | + | 15.2895i | 0.448234 | + | 0.629457i | ||||
\(591\) | −0.0176163 | + | 0.369811i | −0.000724637 | + | 0.0152120i | ||||
\(592\) | −0.234905 | − | 0.223982i | −0.00965455 | − | 0.00920560i | ||||
\(593\) | −14.1925 | + | 2.73538i | −0.582817 | + | 0.112329i | −0.472134 | − | 0.881527i | \(-0.656516\pi\) |
−0.110683 | + | 0.993856i | \(0.535304\pi\) | |||||||
\(594\) | −1.14890 | − | 0.337347i | −0.0471399 | − | 0.0138415i | ||||
\(595\) | 8.77275 | − | 30.7840i | 0.359648 | − | 1.26202i | ||||
\(596\) | 2.64416 | − | 18.3905i | 0.108309 | − | 0.753306i | ||||
\(597\) | 0.194162 | − | 0.336299i | 0.00794653 | − | 0.0137638i | ||||
\(598\) | 3.99855 | − | 5.46101i | 0.163513 | − | 0.223317i | ||||
\(599\) | −17.8136 | − | 30.8541i | −0.727846 | − | 1.26067i | −0.957792 | − | 0.287462i | \(-0.907188\pi\) |
0.229946 | − | 0.973203i | \(-0.426145\pi\) | |||||||
\(600\) | 0.249418 | + | 0.196145i | 0.0101825 | + | 0.00800758i | ||||
\(601\) | −9.59572 | − | 21.0117i | −0.391418 | − | 0.857085i | −0.998069 | − | 0.0621172i | \(-0.980215\pi\) |
0.606651 | − | 0.794968i | \(-0.292513\pi\) | |||||||
\(602\) | −31.0695 | + | 1.72865i | −1.26630 | + | 0.0704545i | ||||
\(603\) | 4.24101 | + | 4.89439i | 0.172707 | + | 0.199315i | ||||
\(604\) | 2.23578 | − | 9.21602i | 0.0909727 | − | 0.374995i | ||||
\(605\) | 4.19876 | − | 88.1428i | 0.170704 | − | 3.58352i | ||||
\(606\) | 0.244752 | − | 0.0233710i | 0.00994237 | − | 0.000949381i | ||||
\(607\) | −1.32123 | − | 3.81744i | −0.0536270 | − | 0.154945i | 0.915006 | − | 0.403440i | \(-0.132185\pi\) |
−0.968633 | + | 0.248494i | \(0.920064\pi\) | |||||||
\(608\) | 2.24873 | − | 1.44517i | 0.0911979 | − | 0.0586093i | ||||
\(609\) | −0.467892 | − | 0.0185471i | −0.0189599 | − | 0.000751568i | ||||
\(610\) | −1.52700 | − | 10.6205i | −0.0618265 | − | 0.430013i | ||||
\(611\) | −0.565892 | − | 11.8795i | −0.0228935 | − | 0.480594i | ||||
\(612\) | 9.41660 | + | 1.81490i | 0.380644 | + | 0.0733630i | ||||
\(613\) | −17.8650 | + | 1.70590i | −0.721559 | + | 0.0689006i | −0.449373 | − | 0.893344i | \(-0.648353\pi\) |
−0.272186 | + | 0.962245i | \(0.587747\pi\) | |||||||
\(614\) | −21.4410 | + | 11.0536i | −0.865287 | + | 0.446086i | ||||
\(615\) | 1.23696 | − | 0.363203i | 0.0498789 | − | 0.0146458i | ||||
\(616\) | −13.3617 | + | 7.85721i | −0.538357 | + | 0.316576i | ||||
\(617\) | −3.81170 | − | 1.11922i | −0.153453 | − | 0.0450579i | 0.204104 | − | 0.978949i | \(-0.434572\pi\) |
−0.357557 | + | 0.933891i | \(0.616390\pi\) | |||||||
\(618\) | 0.273363 | + | 0.0261030i | 0.0109963 | + | 0.00105002i | ||||
\(619\) | 10.8197 | − | 4.33157i | 0.434882 | − | 0.174100i | −0.143883 | − | 0.989595i | \(-0.545959\pi\) |
0.578765 | + | 0.815494i | \(0.303535\pi\) | |||||||
\(620\) | 13.0963 | + | 22.6834i | 0.525959 | + | 0.910988i | ||||
\(621\) | 0.718260 | − | 0.666965i | 0.0288228 | − | 0.0267644i | ||||
\(622\) | 6.72376 | 0.269598 | ||||||||
\(623\) | −7.50083 | − | 37.3130i | −0.300515 | − | 1.49492i | ||||
\(624\) | −0.0199745 | − | 0.0437380i | −0.000799618 | − | 0.00175092i | ||||
\(625\) | 10.9801 | − | 10.4695i | 0.439204 | − | 0.418780i | ||||
\(626\) | 2.32571 | − | 6.71971i | 0.0929542 | − | 0.268573i | ||||
\(627\) | −0.386155 | − | 0.368198i | −0.0154215 | − | 0.0147044i | ||||
\(628\) | −1.46100 | + | 0.753196i | −0.0583001 | + | 0.0300558i | ||||
\(629\) | 0.431179 | − | 0.944150i | 0.0171922 | − | 0.0376457i | ||||
\(630\) | 29.6768 | − | 4.50890i | 1.18235 | − | 0.179639i | ||||
\(631\) | 6.31369 | − | 4.05756i | 0.251344 | − | 0.161529i | −0.408902 | − | 0.912578i | \(-0.634088\pi\) |
0.660246 | + | 0.751049i | \(0.270452\pi\) | |||||||
\(632\) | 3.69591 | + | 1.47962i | 0.147015 | + | 0.0588560i | ||||
\(633\) | −0.459274 | + | 0.361177i | −0.0182545 | + | 0.0143555i | ||||
\(634\) | −28.6483 | − | 14.7692i | −1.13777 | − | 0.586561i | ||||
\(635\) | −6.91361 | − | 19.9756i | −0.274358 | − | 0.792707i | ||||
\(636\) | −0.115382 | + | 0.252650i | −0.00457518 | + | 0.0100182i | ||||
\(637\) | −3.95999 | + | 9.05074i | −0.156900 | + | 0.358603i | ||||
\(638\) | 29.2017 | − | 8.57440i | 1.15611 | − | 0.339464i | ||||
\(639\) | −17.8073 | + | 3.43208i | −0.704447 | + | 0.135771i | ||||
\(640\) | 0.891946 | + | 3.67665i | 0.0352573 | + | 0.145332i | ||||
\(641\) | −4.89602 | + | 6.87550i | −0.193381 | + | 0.271566i | −0.899870 | − | 0.436158i | \(-0.856339\pi\) |
0.706489 | + | 0.707724i | \(0.250278\pi\) | |||||||
\(642\) | −0.0879170 | − | 0.0691387i | −0.00346981 | − | 0.00272869i | ||||
\(643\) | 2.63641 | 0.103970 | 0.0519849 | − | 0.998648i | \(-0.483445\pi\) | ||||
0.0519849 | + | 0.998648i | \(0.483445\pi\) | |||||||
\(644\) | 0.0663914 | − | 12.6884i | 0.00261619 | − | 0.499993i | ||||
\(645\) | 1.51600 | 0.0596924 | ||||||||
\(646\) | 6.71928 | + | 5.28410i | 0.264366 | + | 0.207900i | ||||
\(647\) | 20.6324 | − | 28.9742i | 0.811143 | − | 1.13909i | −0.176795 | − | 0.984248i | \(-0.556573\pi\) |
0.987939 | − | 0.154844i | \(-0.0494875\pi\) | |||||||
\(648\) | 2.11937 | + | 8.73615i | 0.0832566 | + | 0.343189i | ||||
\(649\) | 28.5411 | − | 5.50085i | 1.12034 | − | 0.215927i | ||||
\(650\) | −12.6115 | + | 3.70308i | −0.494665 | + | 0.145247i | ||||
\(651\) | −0.607626 | − | 0.142284i | −0.0238147 | − | 0.00557653i | ||||
\(652\) | 1.75766 | − | 3.84873i | 0.0688352 | − | 0.150728i | ||||
\(653\) | 5.63156 | + | 16.2713i | 0.220380 | + | 0.636746i | 0.999946 | + | 0.0104256i | \(0.00331862\pi\) |
−0.779566 | + | 0.626320i | \(0.784560\pi\) | |||||||
\(654\) | 0.0321918 | + | 0.0165960i | 0.00125880 | + | 0.000648955i | ||||
\(655\) | −3.36696 | + | 2.64781i | −0.131558 | + | 0.103458i | ||||
\(656\) | 9.28519 | + | 3.71723i | 0.362526 | + | 0.145133i | ||||
\(657\) | −15.6407 | + | 10.0517i | −0.610203 | + | 0.392154i | ||||
\(658\) | −13.9217 | − | 17.4150i | −0.542723 | − | 0.678907i | ||||
\(659\) | 8.88121 | − | 19.4471i | 0.345963 | − | 0.757553i | −0.654037 | − | 0.756463i | \(-0.726926\pi\) |
0.999999 | − | 0.00108986i | \(-0.000346914\pi\) | |||||||
\(660\) | 0.671219 | − | 0.346037i | 0.0261272 | − | 0.0134695i | ||||
\(661\) | 15.6037 | + | 14.8781i | 0.606915 | + | 0.578692i | 0.929946 | − | 0.367696i | \(-0.119853\pi\) |
−0.323031 | + | 0.946388i | \(0.604702\pi\) | |||||||
\(662\) | 3.16453 | − | 9.14331i | 0.122993 | − | 0.355365i | ||||
\(663\) | 0.111284 | − | 0.106109i | 0.00432191 | − | 0.00412094i | ||||
\(664\) | −3.40942 | − | 7.46560i | −0.132311 | − | 0.289721i | ||||
\(665\) | 25.3539 | + | 8.54912i | 0.983183 | + | 0.331520i | ||||
\(666\) | 0.973346 | 0.0377164 | ||||||||
\(667\) | −6.19290 | + | 24.1312i | −0.239790 | + | 0.934365i | ||||
\(668\) | −2.16956 | − | 3.75778i | −0.0839427 | − | 0.145393i | ||||
\(669\) | 0.451914 | − | 0.180919i | 0.0174720 | − | 0.00699474i | ||||
\(670\) | −8.13329 | − | 0.776635i | −0.314217 | − | 0.0300040i | ||||
\(671\) | −15.9427 | − | 4.68120i | −0.615462 | − | 0.180716i | ||||
\(672\) | −0.0784213 | − | 0.0444459i | −0.00302517 | − | 0.00171454i | ||||
\(673\) | 35.4928 | − | 10.4216i | 1.36815 | − | 0.401724i | 0.486518 | − | 0.873670i | \(-0.338267\pi\) |
0.881627 | + | 0.471946i | \(0.156448\pi\) | |||||||
\(674\) | 11.0517 | − | 5.69752i | 0.425694 | − | 0.219460i | ||||
\(675\) | −1.89484 | + | 0.180935i | −0.0729325 | + | 0.00696421i | ||||
\(676\) | −10.8093 | − | 2.08332i | −0.415742 | − | 0.0801276i | ||||
\(677\) | 0.975239 | + | 20.4728i | 0.0374815 | + | 0.786833i | 0.936869 | + | 0.349681i | \(0.113710\pi\) |
−0.899387 | + | 0.437152i | \(0.855987\pi\) | |||||||
\(678\) | −0.000594866 | − | 0.00413738i | −2.28457e−5 | − | 0.000158895i | ||||
\(679\) | −14.1902 | + | 22.4727i | −0.544569 | + | 0.862423i | ||||
\(680\) | −10.1779 | + | 6.54094i | −0.390305 | + | 0.250834i | ||||
\(681\) | −0.0102277 | − | 0.0295510i | −0.000391927 | − | 0.00113240i | ||||
\(682\) | 40.3773 | − | 3.85557i | 1.54613 | − | 0.147637i | ||||
\(683\) | −1.08951 | + | 22.8715i | −0.0416888 | + | 0.875155i | 0.877076 | + | 0.480351i | \(0.159491\pi\) |
−0.918765 | + | 0.394804i | \(0.870812\pi\) | |||||||
\(684\) | −1.88987 | + | 7.79013i | −0.0722608 | + | 0.297863i | ||||
\(685\) | −14.9049 | − | 17.2012i | −0.569489 | − | 0.657225i | ||||
\(686\) | 3.93935 | + | 18.0965i | 0.150405 | + | 0.690926i | ||||
\(687\) | −0.174946 | − | 0.383078i | −0.00667459 | − | 0.0146153i | ||||
\(688\) | 9.24504 | + | 7.27038i | 0.352464 | + | 0.277181i | ||||
\(689\) | −5.75272 | − | 9.96401i | −0.219161 | − | 0.379599i | ||||
\(690\) | −0.0375695 | + | 0.617024i | −0.00143025 | + | 0.0234897i | ||||
\(691\) | 12.6979 | − | 21.9935i | 0.483052 | − | 0.836671i | −0.516759 | − | 0.856131i | \(-0.672862\pi\) |
0.999811 | + | 0.0194605i | \(0.00619487\pi\) | |||||||
\(692\) | −3.11014 | + | 21.6315i | −0.118230 | + | 0.822307i | ||||
\(693\) | 12.7397 | − | 44.7041i | 0.483940 | − | 1.69817i | ||||
\(694\) | −24.3569 | − | 7.15182i | −0.924574 | − | 0.271479i | ||||
\(695\) | −65.9476 | + | 12.7104i | −2.50154 | + | 0.482132i | ||||
\(696\) | 0.128090 | + | 0.122134i | 0.00485525 | + | 0.00462948i | ||||
\(697\) | −1.52186 | + | 31.9477i | −0.0576444 | + | 1.21011i | ||||
\(698\) | −8.98300 | − | 12.6149i | −0.340012 | − | 0.477479i | ||||
\(699\) | 0.163764 | − | 0.188994i | 0.00619413 | − | 0.00714841i | ||||
\(700\) | −15.0768 | + | 19.4899i | −0.569851 | + | 0.736648i | ||||
\(701\) | 1.91931 | + | 13.3491i | 0.0724914 | + | 0.504188i | 0.993426 | + | 0.114472i | \(0.0365178\pi\) |
−0.920935 | + | 0.389716i | \(0.872573\pi\) | |||||||
\(702\) | 0.267781 | + | 0.107203i | 0.0101068 | + | 0.00404613i | ||||
\(703\) | 0.771161 | + | 0.397561i | 0.0290849 | + | 0.0149943i | ||||
\(704\) | 5.75282 | + | 1.10877i | 0.216818 | + | 0.0417882i | ||||
\(705\) | 0.630061 | + | 0.884797i | 0.0237295 | + | 0.0333234i | ||||
\(706\) | −19.9820 | − | 12.8416i | −0.752032 | − | 0.483302i | ||||
\(707\) | 1.96654 | + | 18.9915i | 0.0739592 | + | 0.714248i | ||||
\(708\) | 0.110691 | + | 0.127744i | 0.00416001 | + | 0.00480090i | ||||
\(709\) | −23.6048 | + | 22.5071i | −0.886495 | + | 0.845271i | −0.988764 | − | 0.149485i | \(-0.952238\pi\) |
0.102269 | + | 0.994757i | \(0.467390\pi\) | |||||||
\(710\) | 13.2711 | − | 18.6366i | 0.498055 | − | 0.699421i | ||||
\(711\) | −11.0834 | + | 4.43714i | −0.415661 | + | 0.166406i | ||||
\(712\) | −7.19257 | + | 12.4579i | −0.269553 | + | 0.466879i | ||||
\(713\) | −14.1907 | + | 30.0172i | −0.531446 | + | 1.12415i | ||||
\(714\) | 0.0522925 | − | 0.283475i | 0.00195700 | − | 0.0106088i | ||||
\(715\) | −4.45187 | + | 30.9634i | −0.166491 | + | 1.15797i | ||||
\(716\) | −19.3558 | − | 1.84825i | −0.723360 | − | 0.0690725i | ||||
\(717\) | −0.197750 | − | 0.815135i | −0.00738509 | − | 0.0304418i | ||||
\(718\) | 1.30604 | − | 3.77357i | 0.0487412 | − | 0.140828i | ||||
\(719\) | −5.53146 | + | 22.8010i | −0.206289 | + | 0.850334i | 0.770727 | + | 0.637166i | \(0.219893\pi\) |
−0.977016 | + | 0.213168i | \(0.931622\pi\) | |||||||
\(720\) | −9.54444 | − | 6.13384i | −0.355700 | − | 0.228595i | ||||
\(721\) | −1.85758 | + | 21.2439i | −0.0691800 | + | 0.791164i | ||||
\(722\) | 7.76319 | − | 8.95920i | 0.288916 | − | 0.333427i | ||||
\(723\) | 0.0145585 | + | 0.305620i | 0.000541436 | + | 0.0113661i | ||||
\(724\) | −5.76584 | + | 4.53431i | −0.214286 | + | 0.168516i | ||||
\(725\) | 38.0297 | − | 29.9069i | 1.41239 | − | 1.11071i | ||||
\(726\) | −0.0378114 | − | 0.793759i | −0.00140331 | − | 0.0294591i | ||||
\(727\) | 20.5147 | − | 23.6752i | 0.760847 | − | 0.878064i | −0.234725 | − | 0.972062i | \(-0.575419\pi\) |
0.995572 | + | 0.0939973i | \(0.0299645\pi\) | |||||||
\(728\) | 3.38405 | − | 1.57820i | 0.125421 | − | 0.0584921i | ||||
\(729\) | −22.6611 | − | 14.5634i | −0.839301 | − | 0.539386i | ||||
\(730\) | 5.52988 | − | 22.7945i | 0.204670 | − | 0.843661i | ||||
\(731\) | −12.3014 | + | 35.5427i | −0.454985 | + | 1.31459i | ||||
\(732\) | −0.0227803 | − | 0.0939016i | −0.000841984 | − | 0.00347070i | ||||
\(733\) | −30.1669 | − | 2.88059i | −1.11424 | − | 0.106397i | −0.478345 | − | 0.878172i | \(-0.658763\pi\) |
−0.635896 | + | 0.771775i | \(0.719369\pi\) | |||||||
\(734\) | −1.61351 | + | 11.2222i | −0.0595556 | + | 0.414218i | ||||
\(735\) | −0.142646 | − | 0.890930i | −0.00526157 | − | 0.0328624i | ||||
\(736\) | −3.18822 | + | 3.58263i | −0.117519 | + | 0.132058i | ||||
\(737\) | −6.32613 | + | 10.9572i | −0.233026 | + | 0.403613i | ||||
\(738\) | −27.8448 | + | 11.1474i | −1.02498 | + | 0.410340i | ||||
\(739\) | −7.17344 | + | 10.0737i | −0.263879 | + | 0.370566i | −0.925163 | − | 0.379569i | \(-0.876072\pi\) |
0.661284 | + | 0.750135i | \(0.270012\pi\) | |||||||
\(740\) | −0.888717 | + | 0.847390i | −0.0326699 | + | 0.0311507i | ||||
\(741\) | 0.0841688 | + | 0.0971360i | 0.00309202 | + | 0.00356838i | ||||
\(742\) | −19.6908 | − | 8.80325i | −0.722872 | − | 0.323177i | ||||
\(743\) | −20.0678 | − | 12.8968i | −0.736216 | − | 0.473137i | 0.118028 | − | 0.993010i | \(-0.462343\pi\) |
−0.854243 | + | 0.519873i | \(0.825979\pi\) | |||||||
\(744\) | 0.136820 | + | 0.192137i | 0.00501607 | + | 0.00704408i | ||||
\(745\) | −69.0221 | − | 13.3029i | −2.52877 | − | 0.487381i | ||||
\(746\) | 1.17545 | + | 0.605987i | 0.0430363 | + | 0.0221868i | ||||
\(747\) | 22.8493 | + | 9.14747i | 0.836011 | + | 0.334688i | ||||
\(748\) | 2.66632 | + | 18.5447i | 0.0974903 | + | 0.678060i | ||||
\(749\) | 5.31441 | − | 6.86995i | 0.194184 | − | 0.251023i | ||||
\(750\) | 0.364086 | − | 0.420177i | 0.0132945 | − | 0.0153427i | ||||
\(751\) | −9.03900 | − | 12.6935i | −0.329838 | − | 0.463192i | 0.616040 | − | 0.787715i | \(-0.288736\pi\) |
−0.945878 | + | 0.324522i | \(0.894796\pi\) | |||||||
\(752\) | −0.400970 | + | 8.41740i | −0.0146219 | + | 0.306951i | ||||
\(753\) | −0.480799 | − | 0.458441i | −0.0175213 | − | 0.0167065i | ||||
\(754\) | −7.19891 | + | 1.38748i | −0.262169 | + | 0.0505289i | ||||
\(755\) | −34.4250 | − | 10.1081i | −1.25285 | − | 0.367871i | ||||
\(756\) | 0.524462 | − | 0.131674i | 0.0190745 | − | 0.00478893i | ||||
\(757\) | 3.48773 | − | 24.2577i | 0.126764 | − | 0.881660i | −0.822855 | − | 0.568252i | \(-0.807620\pi\) |
0.949618 | − | 0.313409i | \(-0.101471\pi\) | |||||||
\(758\) | −4.34843 | + | 7.53170i | −0.157942 | + | 0.273564i | ||||
\(759\) | 0.844989 | + | 0.449853i | 0.0306712 | + | 0.0163286i | ||||
\(760\) | −5.05650 | − | 8.75811i | −0.183419 | − | 0.317690i | ||||
\(761\) | 36.2879 | + | 28.5371i | 1.31544 | + | 1.03447i | 0.996227 | + | 0.0867855i | \(0.0276595\pi\) |
0.319209 | + | 0.947684i | \(0.396583\pi\) | |||||||
\(762\) | −0.0790771 | − | 0.173155i | −0.00286466 | − | 0.00627273i | ||||
\(763\) | −1.26879 | + | 2.51010i | −0.0459335 | + | 0.0908719i | ||||
\(764\) | 11.6408 | + | 13.4342i | 0.421148 | + | 0.486031i | ||||
\(765\) | 8.55367 | − | 35.2587i | 0.309259 | − | 1.27478i | ||||
\(766\) | −0.210331 | + | 4.41538i | −0.00759955 | + | 0.159534i | ||||
\(767\) | −6.97012 | + | 0.665566i | −0.251676 | + | 0.0240322i | ||||
\(768\) | 0.0111432 | + | 0.0321961i | 0.000402095 | + | 0.00116178i | ||||
\(769\) | 2.05033 | − | 1.31767i | 0.0739369 | − | 0.0475164i | −0.503150 | − | 0.864199i | \(-0.667826\pi\) |
0.577087 | + | 0.816683i | \(0.304189\pi\) | |||||||
\(770\) | 27.2872 | + | 51.9084i | 0.983361 | + | 1.87065i | ||||
\(771\) | −0.0711871 | − | 0.495117i | −0.00256374 | − | 0.0178312i | ||||
\(772\) | 1.06335 | + | 22.3224i | 0.0382706 | + | 0.803400i | ||||
\(773\) | −9.46103 | − | 1.82346i | −0.340290 | − | 0.0655855i | 0.0162437 | − | 0.999868i | \(-0.494829\pi\) |
−0.356533 | + | 0.934283i | \(0.616041\pi\) | |||||||
\(774\) | −35.1107 | + | 3.35266i | −1.26203 | + | 0.120509i | ||||
\(775\) | 57.3105 | − | 29.5456i | 2.05865 | − | 1.06131i | ||||
\(776\) | 9.63858 | − | 2.83014i | 0.346005 | − | 0.101596i | ||||
\(777\) | −0.000233496 | − | 0.0292564i | −8.37663e−6 | − | 0.00104957i | ||||
\(778\) | 23.4908 | + | 6.89752i | 0.842186 | + | 0.247288i | ||||
\(779\) | −26.6139 | − | 2.54132i | −0.953543 | − | 0.0910524i | ||||
\(780\) | −0.168882 | + | 0.0676101i | −0.00604694 | + | 0.00242083i | ||||
\(781\) | −17.7148 | − | 30.6830i | −0.633886 | − | 1.09792i | ||||
\(782\) | −14.1613 | − | 5.88761i | −0.506408 | − | 0.210541i | ||||
\(783\) | −1.06171 | −0.0379423 | ||||||||
\(784\) | 3.40280 | − | 6.11727i | 0.121528 | − | 0.218474i | ||||
\(785\) | 2.58333 | + | 5.65671i | 0.0922030 | + | 0.201896i | ||||
\(786\) | −0.0279169 | + | 0.0266187i | −0.000995762 | + | 0.000949457i | ||||
\(787\) | −6.39451 | + | 18.4757i | −0.227940 | + | 0.658589i | 0.771802 | + | 0.635863i | \(0.219356\pi\) |
−0.999742 | + | 0.0227256i | \(0.992766\pi\) | |||||||
\(788\) | 7.86465 | + | 7.49893i | 0.280167 | + | 0.267138i | ||||
\(789\) | 0.701083 | − | 0.361433i | 0.0249592 | − | 0.0128674i | ||||
\(790\) | 6.25681 | − | 13.7005i | 0.222607 | − | 0.487442i | ||||
\(791\) | 0.320916 | − | 0.0487579i | 0.0114104 | − | 0.00173363i | ||||
\(792\) | −14.7802 | + | 9.49867i | −0.525192 | + | 0.337521i | ||||
\(793\) | 3.71587 | + | 1.48761i | 0.131954 | + | 0.0528266i | ||||
\(794\) | 28.1941 | − | 22.1720i | 1.00057 | − | 0.786857i | ||||
\(795\) | 0.933998 | + | 0.481509i | 0.0331255 | + | 0.0170774i | ||||
\(796\) | −3.72787 | − | 10.7710i | −0.132131 | − | 0.381767i | ||||
\(797\) | 20.3848 | − | 44.6364i | 0.722065 | − | 1.58110i | −0.0889224 | − | 0.996039i | \(-0.528342\pi\) |
0.810988 | − | 0.585063i | \(-0.198930\pi\) | |||||||
\(798\) | 0.234606 | + | 0.0549360i | 0.00830495 | + | 0.00194471i | ||||
\(799\) | −25.8567 | + | 7.59221i | −0.914745 | + | 0.268593i | ||||
\(800\) | 9.14502 | − | 1.76256i | 0.323325 | − | 0.0623159i | ||||
\(801\) | −10.1703 | − | 41.9227i | −0.359351 | − | 1.48127i | ||||
\(802\) | −0.107870 | + | 0.151482i | −0.00380902 | + | 0.00534902i | ||||
\(803\) | −28.5516 | − | 22.4532i | −1.00756 | − | 0.792356i | ||||
\(804\) | −0.0735764 | −0.00259484 | ||||||||
\(805\) | −47.9377 | − | 2.53502i | −1.68958 | − | 0.0893476i | ||||
\(806\) | −9.77077 | −0.344161 | ||||||||
\(807\) | 0.680523 | + | 0.535169i | 0.0239555 | + | 0.0188388i | ||||
\(808\) | 4.18597 | − | 5.87837i | 0.147262 | − | 0.206800i | ||||
\(809\) | −9.60548 | − | 39.5943i | −0.337711 | − | 1.39206i | −0.847058 | − | 0.531501i | \(-0.821628\pi\) |
0.509347 | − | 0.860561i | \(-0.329887\pi\) | |||||||
\(810\) | 33.3955 | − | 6.43646i | 1.17340 | − | 0.226154i | ||||
\(811\) | 16.9363 | − | 4.97296i | 0.594716 | − | 0.174624i | 0.0294962 | − | 0.999565i | \(-0.490610\pi\) |
0.565219 | + | 0.824941i | \(0.308792\pi\) | |||||||
\(812\) | −9.40480 | + | 10.0224i | −0.330044 | + | 0.351718i | ||||
\(813\) | −0.187536 | + | 0.410647i | −0.00657718 | + | 0.0144020i | ||||
\(814\) | 0.621947 | + | 1.79700i | 0.0217992 | + | 0.0629847i | ||||
\(815\) | −14.2280 | − | 7.33504i | −0.498385 | − | 0.256935i | ||||
\(816\) | −0.0856416 | + | 0.0673493i | −0.00299805 | + | 0.00235770i | ||||
\(817\) | −29.1868 | − | 11.6846i | −1.02112 | − | 0.408794i | ||||
\(818\) | 1.34128 | − | 0.861990i | 0.0468968 | − | 0.0301388i | ||||
\(819\) | −4.07862 | + | 10.4283i | −0.142518 | + | 0.364396i | ||||
\(820\) | 15.7189 | − | 34.4197i | 0.548929 | − | 1.20199i | ||||
\(821\) | 36.4544 | − | 18.7935i | 1.27227 | − | 0.655899i | 0.316101 | − | 0.948726i | \(-0.397626\pi\) |
0.956165 | + | 0.292827i | \(0.0945960\pi\) | |||||||
\(822\) | −0.148341 | − | 0.141443i | −0.00517399 | − | 0.00493339i | ||||
\(823\) | 6.19600 | − | 17.9022i | 0.215979 | − | 0.624031i | −0.784016 | − | 0.620741i | \(-0.786832\pi\) |
0.999995 | − | 0.00328933i | \(-0.00104703\pi\) | |||||||
\(824\) | 5.83335 | − | 5.56209i | 0.203215 | − | 0.193765i | ||||
\(825\) | −0.772253 | − | 1.69100i | −0.0268864 | − | 0.0588730i | ||||
\(826\) | −9.85121 | + | 8.67473i | −0.342767 | + | 0.301833i | ||||
\(827\) | −37.3662 | −1.29935 | −0.649675 | − | 0.760212i | \(-0.725095\pi\) | ||||
−0.649675 | + | 0.760212i | \(0.725095\pi\) | |||||||
\(828\) | −0.494449 | − | 14.3734i | −0.0171833 | − | 0.499511i | ||||
\(829\) | 14.0195 | + | 24.2825i | 0.486917 | + | 0.843364i | 0.999887 | − | 0.0150420i | \(-0.00478821\pi\) |
−0.512970 | + | 0.858406i | \(0.671455\pi\) | |||||||
\(830\) | −28.8263 | + | 11.5403i | −1.00058 | + | 0.400570i | ||||
\(831\) | 0.117308 | + | 0.0112016i | 0.00406937 | + | 0.000388578i | ||||
\(832\) | −1.35414 | − | 0.397611i | −0.0469463 | − | 0.0137847i | ||||
\(833\) | 22.0454 | + | 3.88504i | 0.763828 | + | 0.134609i | ||||
\(834\) | −0.580313 | + | 0.170395i | −0.0200946 | + | 0.00590031i | ||||
\(835\) | −14.5913 | + | 7.52231i | −0.504951 | + | 0.260320i | ||||
\(836\) | −15.5898 | + | 1.48864i | −0.539183 | + | 0.0514858i | ||||
\(837\) | −1.38940 | − | 0.267784i | −0.0480246 | − | 0.00925598i | ||||
\(838\) | −1.46037 | − | 30.6570i | −0.0504478 | − | 1.05903i | ||||
\(839\) | 7.54734 | + | 52.4929i | 0.260563 | + | 1.81226i | 0.528625 | + | 0.848855i | \(0.322708\pi\) |
−0.268062 | + | 0.963402i | \(0.586383\pi\) | |||||||
\(840\) | −0.182079 | + | 0.288354i | −0.00628231 | + | 0.00994916i | ||||
\(841\) | −1.69463 | + | 1.08907i | −0.0584356 | + | 0.0375543i | ||||
\(842\) | −7.62379 | − | 22.0275i | −0.262733 | − | 0.759117i | ||||
\(843\) | 0.374923 | − | 0.0358008i | 0.0129130 | − | 0.00123304i | ||||
\(844\) | −0.816001 | + | 17.1300i | −0.0280879 | + | 0.589638i | ||||
\(845\) | −9.81873 | + | 40.4734i | −0.337775 | + | 1.39233i | ||||
\(846\) | −16.5490 | − | 19.0986i | −0.568967 | − | 0.656623i | ||||
\(847\) | 61.6151 | − | 3.42814i | 2.11712 | − | 0.117792i | ||||
\(848\) | 3.38661 | + | 7.41563i | 0.116297 | + | 0.254654i | ||||
\(849\) | 0.126201 | + | 0.0992454i | 0.00433120 | + | 0.00340609i | ||||
\(850\) | 14.8914 | + | 25.7927i | 0.510771 | + | 0.884682i | ||||
\(851\) | −1.52445 | − | 0.314759i | −0.0522574 | − | 0.0107898i | ||||
\(852\) | 0.103017 | − | 0.178430i | 0.00352929 | − | 0.00611291i | ||||
\(853\) | −1.19239 | + | 8.29327i | −0.0408267 | + | 0.283956i | 0.959173 | + | 0.282821i | \(0.0912703\pi\) |
−0.999999 | + | 0.00113486i | \(0.999639\pi\) | |||||||
\(854\) | 7.27771 | − | 1.82718i | 0.249038 | − | 0.0625247i | ||||
\(855\) | 29.0988 | + | 8.54418i | 0.995158 | + | 0.292205i | ||||
\(856\) | −3.22351 | + | 0.621281i | −0.110177 | + | 0.0212350i | ||||
\(857\) | 21.1753 | + | 20.1906i | 0.723334 | + | 0.689698i | 0.959403 | − | 0.282038i | \(-0.0910106\pi\) |
−0.236069 | + | 0.971736i | \(0.575859\pi\) | |||||||
\(858\) | −0.0134040 | + | 0.281385i | −0.000457606 | + | 0.00960634i | ||||
\(859\) | −10.2012 | − | 14.3256i | −0.348061 | − | 0.488784i | 0.603019 | − | 0.797727i | \(-0.293964\pi\) |
−0.951081 | + | 0.308943i | \(0.900025\pi\) | |||||||
\(860\) | 29.1391 | − | 33.6283i | 0.993635 | − | 1.14672i | ||||
\(861\) | 0.341742 | + | 0.834272i | 0.0116465 | + | 0.0284319i | ||||
\(862\) | 0.220620 | + | 1.53444i | 0.00751434 | + | 0.0522634i | ||||
\(863\) | 21.7542 | + | 8.70907i | 0.740522 | + | 0.296460i | 0.711085 | − | 0.703106i | \(-0.248204\pi\) |
0.0294371 | + | 0.999567i | \(0.490629\pi\) | |||||||
\(864\) | −0.181660 | − | 0.0936524i | −0.00618021 | − | 0.00318612i | ||||
\(865\) | 81.1859 | + | 15.6473i | 2.76040 | + | 0.532024i | ||||
\(866\) | 18.2245 | + | 25.5927i | 0.619294 | + | 0.869677i | ||||
\(867\) | 0.194142 | + | 0.124767i | 0.00659340 | + | 0.00423732i | ||||
\(868\) | −14.8354 | + | 10.7437i | −0.503546 | + | 0.364665i | ||||
\(869\) | −15.2739 | − | 17.6271i | −0.518132 | − | 0.597957i | ||||
\(870\) | 0.484604 | − | 0.462069i | 0.0164296 | − | 0.0156656i | ||||
\(871\) | 1.76790 | − | 2.48267i | 0.0599032 | − | 0.0841222i | ||||
\(872\) | 0.986897 | − | 0.395094i | 0.0334206 | − | 0.0133796i | ||||
\(873\) | −15.0624 | + | 26.0889i | −0.509785 | + | 0.882974i | ||||
\(874\) | 5.47905 | − | 11.5897i | 0.185332 | − | 0.392028i | ||||
\(875\) | 32.8541 | + | 28.0123i | 1.11067 | + | 0.946988i | ||||
\(876\) | 0.0300607 | − | 0.209077i | 0.00101566 | − | 0.00706404i | ||||
\(877\) | −38.6255 | − | 3.68829i | −1.30429 | − | 0.124545i | −0.580328 | − | 0.814383i | \(-0.697076\pi\) |
−0.723964 | + | 0.689838i | \(0.757682\pi\) | |||||||
\(878\) | 4.32218 | + | 17.8163i | 0.145866 | + | 0.601269i | ||||
\(879\) | 0.247485 | − | 0.715061i | 0.00834746 | − | 0.0241184i | ||||
\(880\) | 5.22564 | − | 21.5404i | 0.176156 | − | 0.726126i | ||||
\(881\) | 30.8936 | + | 19.8541i | 1.04083 | + | 0.668903i | 0.945193 | − | 0.326513i | \(-0.105874\pi\) |
0.0956402 | + | 0.995416i | \(0.469510\pi\) | |||||||
\(882\) | 5.27400 | + | 20.3186i | 0.177585 | + | 0.684161i | ||||
\(883\) | −17.0473 | + | 19.6737i | −0.573688 | + | 0.662072i | −0.966236 | − | 0.257660i | \(-0.917049\pi\) |
0.392547 | + | 0.919732i | \(0.371594\pi\) | |||||||
\(884\) | −0.214746 | − | 4.50806i | −0.00722267 | − | 0.151623i | ||||
\(885\) | 0.502671 | − | 0.395305i | 0.0168971 | − | 0.0132880i | ||||
\(886\) | −4.83680 | + | 3.80370i | −0.162496 | + | 0.127788i | ||||
\(887\) | 2.63309 | + | 55.2754i | 0.0884106 | + | 1.85597i | 0.413775 | + | 0.910379i | \(0.364210\pi\) |
−0.325364 | + | 0.945589i | \(0.605487\pi\) | |||||||
\(888\) | −0.00724160 | + | 0.00835725i | −0.000243012 | + | 0.000280451i | ||||
\(889\) | 13.3971 | − | 6.24796i | 0.449326 | − | 0.209550i | ||||
\(890\) | 45.7837 | + | 29.4234i | 1.53467 | + | 0.986275i | ||||
\(891\) | 12.4167 | − | 51.1825i | 0.415976 | − | 1.71468i | ||||
\(892\) | 4.67307 | − | 13.5020i | 0.156466 | − | 0.452079i | ||||
\(893\) | −5.31066 | − | 21.8908i | −0.177714 | − | 0.732548i | ||||
\(894\) | −0.630142 | − | 0.0601713i | −0.0210751 | − | 0.00201243i | ||||
\(895\) | −10.4689 | + | 72.8130i | −0.349938 | + | 2.43387i | ||||
\(896\) | −2.49325 | + | 0.885267i | −0.0832937 | + | 0.0295747i | ||||
\(897\) | −0.192328 | − | 0.127223i | −0.00642163 | − | 0.00424786i | ||||
\(898\) | 1.90529 | − | 3.30007i | 0.0635805 | − | 0.110125i | ||||
\(899\) | 33.3882 | − | 13.3666i | 1.11356 | − | 0.445802i | ||||
\(900\) | −16.2005 | + | 22.7504i | −0.540017 | + | 0.758348i | ||||
\(901\) | −18.8679 | + | 17.9905i | −0.628579 | + | 0.599349i | ||||
\(902\) | −38.3725 | − | 44.2843i | −1.27767 | − | 1.47450i | ||||
\(903\) | 0.109196 | + | 1.05454i | 0.00363380 | + | 0.0350928i | ||||
\(904\) | −0.103211 | − | 0.0663294i | −0.00343273 | − | 0.00220608i | ||||
\(905\) | 16.0972 | + | 22.6054i | 0.535091 | + | 0.751430i | ||||
\(906\) | −0.317258 | − | 0.0611465i | −0.0105402 | − | 0.00203146i | ||||
\(907\) | 15.1105 | + | 7.78998i | 0.501734 | + | 0.258662i | 0.690464 | − | 0.723367i | \(-0.257407\pi\) |
−0.188729 | + | 0.982029i | \(0.560437\pi\) | |||||||
\(908\) | −0.852097 | − | 0.341128i | −0.0282778 | − | 0.0113207i | ||||
\(909\) | 3.07984 | + | 21.4208i | 0.102152 | + | 0.710483i | ||||
\(910\) | −5.35486 | − | 13.0724i | −0.177512 | − | 0.433347i | ||||
\(911\) | 5.67962 | − | 6.55463i | 0.188174 | − | 0.217165i | −0.653822 | − | 0.756649i | \(-0.726835\pi\) |
0.841996 | + | 0.539484i | \(0.181381\pi\) | |||||||
\(912\) | −0.0528265 | − | 0.0741844i | −0.00174926 | − | 0.00245649i | ||||
\(913\) | −2.28793 | + | 48.0295i | −0.0757193 | + | 1.58954i | ||||
\(914\) | −1.32207 | − | 1.26060i | −0.0437304 | − | 0.0416968i | ||||
\(915\) | −0.358956 | + | 0.0691831i | −0.0118667 | + | 0.00228712i | ||||
\(916\) | −11.8602 | − | 3.48246i | −0.391871 | − | 0.115064i | ||||
\(917\) | −2.08435 | − | 2.15136i | −0.0688312 | − | 0.0710441i | ||||
\(918\) | 0.0930144 | − | 0.646929i | 0.00306993 | − | 0.0213518i | ||||
\(919\) | 16.0337 | − | 27.7712i | 0.528903 | − | 0.916087i | −0.470529 | − | 0.882385i | \(-0.655937\pi\) |
0.999432 | − | 0.0337023i | \(-0.0107298\pi\) | |||||||
\(920\) | 12.9649 | + | 12.6932i | 0.427440 | + | 0.418484i | ||||
\(921\) | 0.410927 | + | 0.711746i | 0.0135405 | + | 0.0234528i | ||||
\(922\) | −19.6647 | − | 15.4645i | −0.647621 | − | 0.509295i | ||||
\(923\) | 3.54543 | + | 7.76341i | 0.116699 | + | 0.255536i | ||||
\(924\) | 0.289053 | + | 0.441979i | 0.00950913 | + | 0.0145400i | ||||
\(925\) | 1.97956 | + | 2.28453i | 0.0650874 | + | 0.0751149i | ||||
\(926\) | 3.20304 | − | 13.2031i | 0.105259 | − | 0.433882i | ||||
\(927\) | −1.15010 | + | 24.1435i | −0.0377741 | + | 0.792977i | ||||
\(928\) | 5.17124 | − | 0.493794i | 0.169754 | − | 0.0162096i | ||||
\(929\) | −2.88684 | − | 8.34098i | −0.0947142 | − | 0.273659i | 0.887685 | − | 0.460451i | \(-0.152312\pi\) |
−0.982399 | + | 0.186792i | \(0.940191\pi\) | |||||||
\(930\) | 0.750717 | − | 0.482457i | 0.0246170 | − | 0.0158204i | ||||
\(931\) | −4.12060 | + | 18.2521i | −0.135047 | + | 0.598189i | ||||
\(932\) | −1.04460 | − | 7.26533i | −0.0342169 | − | 0.237984i | ||||
\(933\) | −0.0109000 | − | 0.228819i | −0.000356849 | − | 0.00749119i | ||||
\(934\) | −3.87625 | − | 0.747085i | −0.126835 | − | 0.0244454i | ||||
\(935\) | 70.5605 | − | 6.73771i | 2.30757 | − | 0.220347i | ||||
\(936\) | 3.76180 | − | 1.93934i | 0.122958 | − | 0.0633894i | ||||
\(937\) | 17.3509 | − | 5.09469i | 0.566830 | − | 0.166436i | 0.0142532 | − | 0.999898i | \(-0.495463\pi\) |
0.552576 | + | 0.833462i | \(0.313645\pi\) | |||||||
\(938\) | −0.0455996 | − | 5.71350i | −0.00148888 | − | 0.186552i | ||||
\(939\) | −0.232451 | − | 0.0682538i | −0.00758575 | − | 0.00222738i | ||||
\(940\) | 31.7373 | + | 3.03054i | 1.03516 | + | 0.0988454i | ||||
\(941\) | −51.2336 | + | 20.5108i | −1.67017 | + | 0.668634i | −0.997457 | − | 0.0712727i | \(-0.977294\pi\) |
−0.672710 | + | 0.739907i | \(0.734870\pi\) | |||||||
\(942\) | 0.0280007 | + | 0.0484987i | 0.000912313 | + | 0.00158017i | ||||
\(943\) | 47.2151 | − | 8.45454i | 1.53754 | − | 0.275318i | ||||
\(944\) | 4.96124 | 0.161475 | ||||||||
\(945\) | −0.403185 | − | 2.00565i | −0.0131156 | − | 0.0652439i | ||||
\(946\) | −28.6246 | − | 62.6792i | −0.930668 | − | 2.03788i | ||||
\(947\) | −29.6662 | + | 28.2867i | −0.964022 | + | 0.919193i | −0.996773 | − | 0.0802702i | \(-0.974422\pi\) |
0.0327509 | + | 0.999464i | \(0.489573\pi\) | |||||||
\(948\) | 0.0443619 | − | 0.128175i | 0.00144081 | − | 0.00416294i | ||||
\(949\) | 6.33253 | + | 6.03805i | 0.205563 | + | 0.196003i | ||||
\(950\) | −22.1277 | + | 11.4076i | −0.717917 | + | 0.370112i | ||||
\(951\) | −0.456175 | + | 0.998883i | −0.0147925 | + | 0.0323910i | ||||
\(952\) | −5.28301 | − | 6.60867i | −0.171223 | − | 0.214188i | ||||
\(953\) | −1.82620 | + | 1.17363i | −0.0591564 | + | 0.0380175i | −0.569885 | − | 0.821725i | \(-0.693012\pi\) |
0.510728 | + | 0.859742i | \(0.329376\pi\) | |||||||
\(954\) | −22.6963 | − | 9.08624i | −0.734821 | − | 0.294178i | ||||
\(955\) | 52.8634 | − | 41.5722i | 1.71062 | − | 1.34525i | ||||
\(956\) | −21.8825 | − | 11.2812i | −0.707731 | − | 0.364861i | ||||
\(957\) | −0.339138 | − | 0.979875i | −0.0109628 | − | 0.0316749i | ||||
\(958\) | −5.64319 | + | 12.3569i | −0.182323 | + | 0.399232i | ||||
\(959\) | 10.8917 | − | 11.6069i | 0.351711 | − | 0.374808i | ||||
\(960\) | 0.123676 | − | 0.0363144i | 0.00399161 | − | 0.00117204i | ||||
\(961\) | 16.6249 | − | 3.20419i | 0.536287 | − | 0.103361i | ||||
\(962\) | −0.107995 | − | 0.445161i | −0.00348190 | − | 0.0143526i | ||||
\(963\) | 5.71049 | − | 8.01926i | 0.184018 | − | 0.258417i | ||||
\(964\) | 7.05919 | + | 5.55141i | 0.227361 | + | 0.178799i | ||||
\(965\) | 84.5479 | 2.72169 | ||||||||
\(966\) | −0.431911 | + | 0.0183100i | −0.0138965 | + | 0.000589113i | ||||
\(967\) | −43.5417 | −1.40021 | −0.700103 | − | 0.714041i | \(-0.746863\pi\) | ||||
−0.700103 | + | 0.714041i | \(0.746863\pi\) | |||||||
\(968\) | −18.3342 | − | 14.4181i | −0.589282 | − | 0.463416i | ||||
\(969\) | 0.168932 | − | 0.237232i | 0.00542689 | − | 0.00762100i | ||||
\(970\) | −8.96003 | − | 36.9338i | −0.287689 | − | 1.18587i | ||||
\(971\) | 32.5518 | − | 6.27384i | 1.04464 | − | 0.201337i | 0.362063 | − | 0.932154i | \(-0.382073\pi\) |
0.682574 | + | 0.730816i | \(0.260860\pi\) | |||||||
\(972\) | 0.882172 | − | 0.259029i | 0.0282957 | − | 0.00830836i | ||||
\(973\) | −13.5915 | − | 44.9580i | −0.435724 | − | 1.44129i | ||||
\(974\) | 1.29946 | − | 2.84542i | 0.0416373 | − | 0.0911731i | ||||
\(975\) | 0.146466 | + | 0.423185i | 0.00469065 | + | 0.0135528i | ||||
\(976\) | −2.52081 | − | 1.29957i | −0.0806893 | − | 0.0415982i | ||||
\(977\) | −4.34543 | + | 3.41729i | −0.139023 | + | 0.109329i | −0.685249 | − | 0.728309i | \(-0.740306\pi\) |
0.546226 | + | 0.837638i | \(0.316064\pi\) | |||||||
\(978\) | −0.133827 | − | 0.0535763i | −0.00427932 | − | 0.00171318i | ||||
\(979\) | 70.8993 | − | 45.5642i | 2.26595 | − | 1.45624i | ||||
\(980\) | −22.5047 | − | 13.9604i | −0.718885 | − | 0.445949i | ||||
\(981\) | −1.32430 | + | 2.89982i | −0.0422817 | + | 0.0925841i | ||||
\(982\) | −0.364844 | + | 0.188090i | −0.0116426 | + | 0.00600219i | ||||
\(983\) | 12.8592 | + | 12.2612i | 0.410144 | + | 0.391072i | 0.866869 | − | 0.498536i | \(-0.166129\pi\) |
−0.456725 | + | 0.889608i | \(0.650977\pi\) | |||||||
\(984\) | 0.111450 | − | 0.322014i | 0.00355290 | − | 0.0102654i | ||||
\(985\) | 29.7543 | − | 28.3707i | 0.948051 | − | 0.903965i | ||||
\(986\) | 6.90095 | + | 15.1110i | 0.219771 | + | 0.481232i | ||||
\(987\) | −0.570087 | + | 0.502005i | −0.0181461 | + | 0.0159790i | ||||
\(988\) | 3.77251 | 0.120020 | ||||||||
\(989\) | 56.0743 | + | 6.10311i | 1.78306 | + | 0.194068i | ||||
\(990\) | 33.2349 | + | 57.5645i | 1.05627 | + | 1.82952i | ||||
\(991\) | −5.21742 | + | 2.08874i | −0.165737 | + | 0.0663510i | −0.453047 | − | 0.891487i | \(-0.649663\pi\) |
0.287310 | + | 0.957838i | \(0.407239\pi\) | |||||||
\(992\) | 6.89186 | + | 0.658093i | 0.218817 | + | 0.0208945i | ||||
\(993\) | −0.316289 | − | 0.0928710i | −0.0100371 | − | 0.00294717i | ||||
\(994\) | 13.9196 | + | 7.88907i | 0.441504 | + | 0.250226i | ||||
\(995\) | −41.3747 | + | 12.1487i | −1.31167 | + | 0.385140i | ||||
\(996\) | −0.248538 | + | 0.128130i | −0.00787521 | + | 0.00405995i | ||||
\(997\) | −5.93178 | + | 0.566416i | −0.187861 | + | 0.0179386i | −0.188563 | − | 0.982061i | \(-0.560383\pi\) |
0.000701268 | 1.00000i | \(0.499777\pi\) | ||||||||
\(998\) | −34.2765 | − | 6.60626i | −1.08500 | − | 0.209117i | ||||
\(999\) | −0.00315642 | − | 0.0662614i | −9.98647e−5 | − | 0.00209642i |
(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 | 322.2.m.b.261.4 | yes | 160 | |
7.4 | even | 3 | inner | 322.2.m.b.123.5 | yes | 160 | |
23.3 | even | 11 | inner | 322.2.m.b.233.5 | yes | 160 | |
161.95 | even | 33 | inner | 322.2.m.b.95.4 | ✓ | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.m.b.95.4 | ✓ | 160 | 161.95 | even | 33 | inner | |
322.2.m.b.123.5 | yes | 160 | 7.4 | even | 3 | inner | |
322.2.m.b.233.5 | yes | 160 | 23.3 | even | 11 | inner | |
322.2.m.b.261.4 | yes | 160 | 1.1 | even | 1 | trivial |