Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [165,2,Mod(29,165)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(165, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("165.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 165 = 3 \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 165.r (of order \(10\), degree \(4\), 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: | \(1.31753163335\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 29.5 | ||
Character | \(\chi\) | \(=\) | 165.29 |
Dual form | 165.2.r.a.74.5 |
$q$-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 \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(67\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.875212 | + | 1.20463i | −0.618869 | + | 0.851799i | −0.997270 | − | 0.0738422i | \(-0.976474\pi\) |
0.378401 | + | 0.925642i | \(0.376474\pi\) | |||||||
\(3\) | −0.577976 | − | 1.63277i | −0.333695 | − | 0.942681i | ||||
\(4\) | −0.0670941 | − | 0.206494i | −0.0335470 | − | 0.103247i | ||||
\(5\) | −2.16710 | − | 0.551056i | −0.969158 | − | 0.246440i | ||||
\(6\) | 2.47273 | + | 0.732776i | 1.00949 | + | 0.299155i | ||||
\(7\) | −0.259482 | − | 0.798604i | −0.0980751 | − | 0.301844i | 0.889968 | − | 0.456023i | \(-0.150727\pi\) |
−0.988043 | + | 0.154179i | \(0.950727\pi\) | |||||||
\(8\) | −2.52478 | − | 0.820350i | −0.892643 | − | 0.290037i | ||||
\(9\) | −2.33189 | + | 1.88741i | −0.777296 | + | 0.629136i | ||||
\(10\) | 2.56049 | − | 2.12826i | 0.809699 | − | 0.673014i | ||||
\(11\) | −2.11726 | − | 2.55289i | −0.638376 | − | 0.769724i | ||||
\(12\) | −0.298379 | + | 0.228898i | −0.0861347 | + | 0.0660772i | ||||
\(13\) | −1.96978 | − | 1.43113i | −0.546318 | − | 0.396923i | 0.280108 | − | 0.959968i | \(-0.409630\pi\) |
−0.826426 | + | 0.563045i | \(0.809630\pi\) | |||||||
\(14\) | 1.18912 | + | 0.386369i | 0.317806 | + | 0.103261i | ||||
\(15\) | 0.352786 | + | 3.85688i | 0.0910888 | + | 0.995843i | ||||
\(16\) | 3.54924 | − | 2.57867i | 0.887310 | − | 0.644668i | ||||
\(17\) | −0.182555 | − | 0.251266i | −0.0442762 | − | 0.0609410i | 0.786305 | − | 0.617839i | \(-0.211992\pi\) |
−0.830581 | + | 0.556898i | \(0.811992\pi\) | |||||||
\(18\) | −0.232725 | − | 4.46093i | −0.0548537 | − | 1.05145i | ||||
\(19\) | −5.72886 | − | 1.86142i | −1.31429 | − | 0.427039i | −0.433761 | − | 0.901028i | \(-0.642814\pi\) |
−0.880531 | + | 0.473989i | \(0.842814\pi\) | |||||||
\(20\) | 0.0316098 | + | 0.484467i | 0.00706816 | + | 0.108330i | ||||
\(21\) | −1.15396 | + | 0.885250i | −0.251816 | + | 0.193177i | ||||
\(22\) | 4.92832 | − | 0.316183i | 1.05072 | − | 0.0674105i | ||||
\(23\) | 5.74665 | 1.19826 | 0.599130 | − | 0.800652i | \(-0.295513\pi\) | ||||
0.599130 | + | 0.800652i | \(0.295513\pi\) | |||||||
\(24\) | 0.119818 | + | 4.59653i | 0.0244577 | + | 0.938262i | ||||
\(25\) | 4.39267 | + | 2.38839i | 0.878535 | + | 0.477678i | ||||
\(26\) | 3.44794 | − | 1.12031i | 0.676198 | − | 0.219710i | ||||
\(27\) | 4.42948 | + | 2.71656i | 0.852454 | + | 0.522802i | ||||
\(28\) | −0.147498 | + | 0.107163i | −0.0278744 | + | 0.0202519i | ||||
\(29\) | 0.755560 | + | 2.32538i | 0.140304 | + | 0.431811i | 0.996377 | − | 0.0850431i | \(-0.0271028\pi\) |
−0.856073 | + | 0.516855i | \(0.827103\pi\) | |||||||
\(30\) | −4.95486 | − | 2.95062i | −0.904630 | − | 0.538706i | ||||
\(31\) | −2.24512 | − | 1.63117i | −0.403235 | − | 0.292968i | 0.367622 | − | 0.929975i | \(-0.380172\pi\) |
−0.770857 | + | 0.637008i | \(0.780172\pi\) | |||||||
\(32\) | 1.22298i | 0.216194i | ||||||||
\(33\) | −2.94456 | + | 4.93250i | −0.512582 | + | 0.858638i | ||||
\(34\) | 0.462456 | 0.0793106 | ||||||||
\(35\) | 0.122249 | + | 1.87365i | 0.0206638 | + | 0.316704i | ||||
\(36\) | 0.546194 | + | 0.354887i | 0.0910324 | + | 0.0591479i | ||||
\(37\) | −8.50603 | + | 2.76378i | −1.39838 | + | 0.454362i | −0.908667 | − | 0.417521i | \(-0.862899\pi\) |
−0.489715 | + | 0.871883i | \(0.662899\pi\) | |||||||
\(38\) | 7.25629 | − | 5.27200i | 1.17713 | − | 0.855232i | ||||
\(39\) | −1.19822 | + | 4.04335i | −0.191868 | + | 0.647454i | ||||
\(40\) | 5.01939 | + | 3.16908i | 0.793636 | + | 0.501075i | ||||
\(41\) | −2.71666 | + | 8.36103i | −0.424271 | + | 1.30577i | 0.479419 | + | 0.877586i | \(0.340847\pi\) |
−0.903690 | + | 0.428187i | \(0.859153\pi\) | |||||||
\(42\) | −0.0564319 | − | 2.16488i | −0.00870763 | − | 0.334048i | ||||
\(43\) | 3.32121 | 0.506480 | 0.253240 | − | 0.967403i | \(-0.418504\pi\) | ||||
0.253240 | + | 0.967403i | \(0.418504\pi\) | |||||||
\(44\) | −0.385101 | + | 0.608485i | −0.0580562 | + | 0.0917325i | ||||
\(45\) | 6.09351 | − | 2.80521i | 0.908366 | − | 0.418175i | ||||
\(46\) | −5.02954 | + | 6.92257i | −0.741565 | + | 1.02068i | ||||
\(47\) | 0.122317 | − | 0.376453i | 0.0178417 | − | 0.0549113i | −0.941739 | − | 0.336344i | \(-0.890810\pi\) |
0.959581 | + | 0.281433i | \(0.0908096\pi\) | |||||||
\(48\) | −6.26176 | − | 4.30468i | −0.903807 | − | 0.621328i | ||||
\(49\) | 5.09268 | − | 3.70005i | 0.727526 | − | 0.528578i | ||||
\(50\) | −6.72164 | + | 3.20118i | −0.950584 | + | 0.452715i | ||||
\(51\) | −0.304747 | + | 0.443297i | −0.0426732 | + | 0.0620740i | ||||
\(52\) | −0.163359 | + | 0.502768i | −0.0226538 | + | 0.0697213i | ||||
\(53\) | −6.06755 | − | 4.40833i | −0.833442 | − | 0.605531i | 0.0870888 | − | 0.996201i | \(-0.472244\pi\) |
−0.920531 | + | 0.390669i | \(0.872244\pi\) | |||||||
\(54\) | −7.14918 | + | 2.95830i | −0.972880 | + | 0.402574i | ||||
\(55\) | 3.18153 | + | 6.69910i | 0.428997 | + | 0.903306i | ||||
\(56\) | 2.22916i | 0.297885i | ||||||||
\(57\) | 0.271873 | + | 10.4298i | 0.0360105 | + | 1.38146i | ||||
\(58\) | −3.46248 | − | 1.12503i | −0.454646 | − | 0.147724i | ||||
\(59\) | 10.5430 | − | 3.42562i | 1.37258 | − | 0.445978i | 0.472357 | − | 0.881407i | \(-0.343403\pi\) |
0.900223 | + | 0.435429i | \(0.143403\pi\) | |||||||
\(60\) | 0.772754 | − | 0.331622i | 0.0997622 | − | 0.0428122i | ||||
\(61\) | −4.35961 | − | 6.00049i | −0.558191 | − | 0.768284i | 0.432904 | − | 0.901440i | \(-0.357489\pi\) |
−0.991095 | + | 0.133156i | \(0.957489\pi\) | |||||||
\(62\) | 3.92991 | − | 1.27691i | 0.499099 | − | 0.162167i | ||||
\(63\) | 2.11237 | + | 1.37251i | 0.266134 | + | 0.172920i | ||||
\(64\) | 5.62525 | + | 4.08698i | 0.703156 | + | 0.510872i | ||||
\(65\) | 3.48008 | + | 4.18686i | 0.431650 | + | 0.519316i | ||||
\(66\) | −3.36471 | − | 7.86408i | −0.414167 | − | 0.968001i | ||||
\(67\) | 1.70411i | 0.208190i | 0.994567 | + | 0.104095i | \(0.0331947\pi\) | ||||
−0.994567 | + | 0.104095i | \(0.966805\pi\) | |||||||
\(68\) | −0.0396366 | + | 0.0545551i | −0.00480665 | + | 0.00661578i | ||||
\(69\) | −3.32143 | − | 9.38297i | −0.399853 | − | 1.12958i | ||||
\(70\) | −2.36404 | − | 1.49257i | −0.282557 | − | 0.178397i | ||||
\(71\) | 0.389936 | + | 0.536701i | 0.0462769 | + | 0.0636947i | 0.831528 | − | 0.555482i | \(-0.187466\pi\) |
−0.785251 | + | 0.619177i | \(0.787466\pi\) | |||||||
\(72\) | 7.43583 | − | 2.85232i | 0.876320 | − | 0.336149i | ||||
\(73\) | −4.98888 | − | 15.3542i | −0.583905 | − | 1.79707i | −0.603625 | − | 0.797269i | \(-0.706277\pi\) |
0.0197201 | − | 0.999806i | \(-0.493723\pi\) | |||||||
\(74\) | 4.11526 | − | 12.6655i | 0.478390 | − | 1.47233i | ||||
\(75\) | 1.36084 | − | 8.55267i | 0.157136 | − | 0.987577i | ||||
\(76\) | 1.30787i | 0.150023i | ||||||||
\(77\) | −1.48936 | + | 2.35328i | −0.169728 | + | 0.268181i | ||||
\(78\) | −3.82203 | − | 4.98220i | −0.432760 | − | 0.564123i | ||||
\(79\) | 1.31923 | − | 1.81576i | 0.148425 | − | 0.204289i | −0.728330 | − | 0.685226i | \(-0.759703\pi\) |
0.876755 | + | 0.480937i | \(0.159703\pi\) | |||||||
\(80\) | −9.11256 | + | 3.63242i | −1.01882 | + | 0.406117i | ||||
\(81\) | 1.87539 | − | 8.80244i | 0.208377 | − | 0.978049i | ||||
\(82\) | −7.69425 | − | 10.5902i | −0.849688 | − | 1.16950i | ||||
\(83\) | −0.260754 | − | 0.358897i | −0.0286214 | − | 0.0393940i | 0.794466 | − | 0.607308i | \(-0.207751\pi\) |
−0.823088 | + | 0.567914i | \(0.807751\pi\) | |||||||
\(84\) | 0.260223 | + | 0.178892i | 0.0283927 | + | 0.0195187i | ||||
\(85\) | 0.257155 | + | 0.645118i | 0.0278924 | + | 0.0699729i | ||||
\(86\) | −2.90677 | + | 4.00082i | −0.313445 | + | 0.431420i | ||||
\(87\) | 3.36011 | − | 2.57767i | 0.360242 | − | 0.276355i | ||||
\(88\) | 3.25134 | + | 8.18236i | 0.346594 | + | 0.872242i | ||||
\(89\) | − | 16.7081i | − | 1.77105i | −0.464588 | − | 0.885527i | \(-0.653798\pi\) | ||
0.464588 | − | 0.885527i | \(-0.346202\pi\) | |||||||
\(90\) | −1.95389 | + | 9.79555i | −0.205958 | + | 1.03254i | ||||
\(91\) | −0.631782 | + | 1.94442i | −0.0662287 | + | 0.203831i | ||||
\(92\) | −0.385566 | − | 1.18665i | −0.0401981 | − | 0.123717i | ||||
\(93\) | −1.36571 | + | 4.60855i | −0.141617 | + | 0.477884i | ||||
\(94\) | 0.346431 | + | 0.476822i | 0.0357317 | + | 0.0491804i | ||||
\(95\) | 11.3893 | + | 7.19082i | 1.16852 | + | 0.737762i | ||||
\(96\) | 1.99684 | − | 0.706853i | 0.203802 | − | 0.0721429i | ||||
\(97\) | −1.67704 | + | 2.30824i | −0.170277 | + | 0.234366i | −0.885624 | − | 0.464403i | \(-0.846269\pi\) |
0.715347 | + | 0.698770i | \(0.246269\pi\) | |||||||
\(98\) | 9.37311i | 0.946827i | ||||||||
\(99\) | 9.75554 | + | 1.95692i | 0.980468 | + | 0.196678i | ||||
\(100\) | 0.198467 | − | 1.06731i | 0.0198467 | − | 0.106731i | ||||
\(101\) | −11.6689 | − | 8.47798i | −1.16110 | − | 0.843591i | −0.171186 | − | 0.985239i | \(-0.554760\pi\) |
−0.989917 | + | 0.141648i | \(0.954760\pi\) | |||||||
\(102\) | −0.267289 | − | 0.755086i | −0.0264655 | − | 0.0747646i | ||||
\(103\) | 4.42164 | − | 1.43668i | 0.435677 | − | 0.141560i | −0.0829633 | − | 0.996553i | \(-0.526438\pi\) |
0.518640 | + | 0.854993i | \(0.326438\pi\) | |||||||
\(104\) | 3.79922 | + | 5.22918i | 0.372544 | + | 0.512763i | ||||
\(105\) | 2.98858 | − | 1.28253i | 0.291656 | − | 0.125162i | ||||
\(106\) | 10.6208 | − | 3.45090i | 1.03158 | − | 0.335181i | ||||
\(107\) | −15.7841 | − | 5.12856i | −1.52591 | − | 0.495797i | −0.578460 | − | 0.815711i | \(-0.696346\pi\) |
−0.947447 | + | 0.319914i | \(0.896346\pi\) | |||||||
\(108\) | 0.263763 | − | 1.09693i | 0.0253806 | − | 0.105552i | ||||
\(109\) | 17.4265i | 1.66915i | 0.550893 | + | 0.834576i | \(0.314287\pi\) | ||||
−0.550893 | + | 0.834576i | \(0.685713\pi\) | |||||||
\(110\) | −10.8544 | − | 2.03058i | −1.03493 | − | 0.193608i | ||||
\(111\) | 9.42890 | + | 12.2910i | 0.894952 | + | 1.16661i | ||||
\(112\) | −2.98030 | − | 2.16532i | −0.281612 | − | 0.204603i | ||||
\(113\) | −0.0373195 | + | 0.114858i | −0.00351073 | + | 0.0108049i | −0.952797 | − | 0.303610i | \(-0.901808\pi\) |
0.949286 | + | 0.314414i | \(0.101808\pi\) | |||||||
\(114\) | −12.8019 | − | 8.80077i | −1.19901 | − | 0.824268i | ||||
\(115\) | −12.4536 | − | 3.16673i | −1.16130 | − | 0.295299i | ||||
\(116\) | 0.429483 | − | 0.312038i | 0.0398765 | − | 0.0289720i | ||||
\(117\) | 7.29441 | − | 0.380546i | 0.674369 | − | 0.0351815i | ||||
\(118\) | −5.10076 | + | 15.6985i | −0.469563 | + | 1.44517i | ||||
\(119\) | −0.153292 | + | 0.210989i | −0.0140523 | + | 0.0193413i | ||||
\(120\) | 2.27329 | − | 10.0272i | 0.207522 | − | 0.915351i | ||||
\(121\) | −2.03446 | + | 10.8102i | −0.184951 | + | 0.982748i | ||||
\(122\) | 11.0439 | 0.999871 | ||||||||
\(123\) | 15.2218 | − | 0.396787i | 1.37250 | − | 0.0357771i | ||||
\(124\) | −0.186194 | + | 0.573046i | −0.0167207 | + | 0.0514611i | ||||
\(125\) | −8.20324 | − | 7.59650i | −0.733720 | − | 0.679452i | ||||
\(126\) | −3.50213 | + | 1.34339i | −0.311995 | + | 0.119679i | ||||
\(127\) | −4.49454 | + | 3.26548i | −0.398826 | + | 0.289764i | −0.769063 | − | 0.639173i | \(-0.779277\pi\) |
0.370237 | + | 0.928937i | \(0.379277\pi\) | |||||||
\(128\) | −12.1728 | + | 3.95519i | −1.07593 | + | 0.349592i | ||||
\(129\) | −1.91958 | − | 5.42278i | −0.169010 | − | 0.477450i | ||||
\(130\) | −8.08940 | + | 0.527805i | −0.709488 | + | 0.0462916i | ||||
\(131\) | −2.08974 | −0.182582 | −0.0912908 | − | 0.995824i | \(-0.529099\pi\) | ||||
−0.0912908 | + | 0.995824i | \(0.529099\pi\) | |||||||
\(132\) | 1.21610 | + | 0.277093i | 0.105848 | + | 0.0241178i | ||||
\(133\) | 5.05810i | 0.438593i | ||||||||
\(134\) | −2.05282 | − | 1.49146i | −0.177336 | − | 0.128842i | ||||
\(135\) | −8.10216 | − | 8.32796i | −0.697323 | − | 0.716757i | ||||
\(136\) | 0.254786 | + | 0.784150i | 0.0218477 | + | 0.0672403i | ||||
\(137\) | −8.15234 | + | 5.92302i | −0.696502 | + | 0.506038i | −0.878791 | − | 0.477207i | \(-0.841649\pi\) |
0.182289 | + | 0.983245i | \(0.441649\pi\) | |||||||
\(138\) | 14.2099 | + | 4.21101i | 1.20963 | + | 0.358465i | ||||
\(139\) | 0.794812 | − | 0.258250i | 0.0674151 | − | 0.0219045i | −0.275115 | − | 0.961411i | \(-0.588716\pi\) |
0.342530 | + | 0.939507i | \(0.388716\pi\) | |||||||
\(140\) | 0.378695 | − | 0.150954i | 0.0320056 | − | 0.0127580i | ||||
\(141\) | −0.685357 | + | 0.0178652i | −0.0577175 | + | 0.00150452i | ||||
\(142\) | −0.987801 | −0.0828944 | ||||||||
\(143\) | 0.517016 | + | 8.05867i | 0.0432350 | + | 0.673900i | ||||
\(144\) | −3.40942 | + | 12.7120i | −0.284118 | + | 1.05934i | ||||
\(145\) | −0.355964 | − | 5.45569i | −0.0295612 | − | 0.453070i | ||||
\(146\) | 22.8624 | + | 7.42845i | 1.89211 | + | 0.614783i | ||||
\(147\) | −8.98479 | − | 6.17664i | −0.741053 | − | 0.509441i | ||||
\(148\) | 1.14141 | + | 1.57101i | 0.0938232 | + | 0.129136i | ||||
\(149\) | −2.06392 | + | 1.49953i | −0.169083 | + | 0.122846i | −0.669109 | − | 0.743165i | \(-0.733324\pi\) |
0.500026 | + | 0.866011i | \(0.333324\pi\) | |||||||
\(150\) | 9.11175 | + | 9.12470i | 0.743971 | + | 0.745029i | ||||
\(151\) | 6.96223 | + | 2.26217i | 0.566578 | + | 0.184092i | 0.578279 | − | 0.815839i | \(-0.303725\pi\) |
−0.0117006 | + | 0.999932i | \(0.503725\pi\) | |||||||
\(152\) | 12.9371 | + | 9.39934i | 1.04934 | + | 0.762387i | ||||
\(153\) | 0.899940 | + | 0.241367i | 0.0727558 | + | 0.0195134i | ||||
\(154\) | −1.53132 | − | 3.85374i | −0.123397 | − | 0.310543i | ||||
\(155\) | 3.96654 | + | 4.77211i | 0.318600 | + | 0.383305i | ||||
\(156\) | 0.915322 | − | 0.0238597i | 0.0732844 | − | 0.00191031i | ||||
\(157\) | 5.49526 | + | 1.78552i | 0.438570 | + | 0.142500i | 0.519976 | − | 0.854181i | \(-0.325941\pi\) |
−0.0814060 | + | 0.996681i | \(0.525941\pi\) | |||||||
\(158\) | 1.03271 | + | 3.17835i | 0.0821580 | + | 0.252856i | ||||
\(159\) | −3.69090 | + | 12.4548i | −0.292708 | + | 0.987733i | ||||
\(160\) | 0.673930 | − | 2.65032i | 0.0532788 | − | 0.209526i | ||||
\(161\) | −1.49115 | − | 4.58930i | −0.117519 | − | 0.361688i | ||||
\(162\) | 8.96228 | + | 9.96314i | 0.704144 | + | 0.782779i | ||||
\(163\) | 8.84432 | − | 12.1732i | 0.692741 | − | 0.953476i | −0.307258 | − | 0.951626i | \(-0.599411\pi\) |
0.999998 | − | 0.00184945i | \(-0.000588699\pi\) | |||||||
\(164\) | 1.90878 | 0.149050 | ||||||||
\(165\) | 9.09925 | − | 9.06663i | 0.708375 | − | 0.705836i | ||||
\(166\) | 0.660551 | 0.0512687 | ||||||||
\(167\) | 10.7740 | − | 14.8292i | 0.833718 | − | 1.14751i | −0.153501 | − | 0.988148i | \(-0.549055\pi\) |
0.987220 | − | 0.159366i | \(-0.0509451\pi\) | |||||||
\(168\) | 3.63972 | − | 1.28840i | 0.280810 | − | 0.0994025i | ||||
\(169\) | −2.18532 | − | 6.72574i | −0.168102 | − | 0.517364i | ||||
\(170\) | −1.00219 | − | 0.254840i | −0.0768645 | − | 0.0195453i | ||||
\(171\) | 16.8723 | − | 6.47208i | 1.29026 | − | 0.494932i | ||||
\(172\) | −0.222834 | − | 0.685812i | −0.0169909 | − | 0.0522927i | ||||
\(173\) | 4.64092 | + | 1.50793i | 0.352843 | + | 0.114646i | 0.480075 | − | 0.877227i | \(-0.340609\pi\) |
−0.127232 | + | 0.991873i | \(0.540609\pi\) | |||||||
\(174\) | 0.164318 | + | 6.30369i | 0.0124569 | + | 0.477881i | ||||
\(175\) | 0.767559 | − | 4.12775i | 0.0580220 | − | 0.312029i | ||||
\(176\) | −14.0977 | − | 3.60110i | −1.06265 | − | 0.271443i | ||||
\(177\) | −11.6869 | − | 15.2344i | −0.878438 | − | 1.14508i | ||||
\(178\) | 20.1270 | + | 14.6231i | 1.50858 | + | 1.09605i | ||||
\(179\) | 13.7067 | + | 4.45358i | 1.02449 | + | 0.332876i | 0.772608 | − | 0.634883i | \(-0.218952\pi\) |
0.251878 | + | 0.967759i | \(0.418952\pi\) | |||||||
\(180\) | −0.988097 | − | 1.07006i | −0.0736484 | − | 0.0797577i | ||||
\(181\) | −10.9139 | + | 7.92938i | −0.811220 | + | 0.589386i | −0.914184 | − | 0.405299i | \(-0.867167\pi\) |
0.102964 | + | 0.994685i | \(0.467167\pi\) | |||||||
\(182\) | −1.78936 | − | 2.46284i | −0.132636 | − | 0.182558i | ||||
\(183\) | −7.27768 | + | 10.5864i | −0.537981 | + | 0.782569i | ||||
\(184\) | −14.5090 | − | 4.71426i | −1.06962 | − | 0.347540i | ||||
\(185\) | 19.9564 | − | 1.30209i | 1.46723 | − | 0.0957314i | ||||
\(186\) | −4.35629 | − | 5.67863i | −0.319419 | − | 0.416377i | ||||
\(187\) | −0.254937 | + | 0.998038i | −0.0186429 | + | 0.0729837i | ||||
\(188\) | −0.0859420 | −0.00626797 | ||||||||
\(189\) | 1.02009 | − | 4.24230i | 0.0742004 | − | 0.308582i | ||||
\(190\) | −18.6303 | + | 7.42635i | −1.35158 | + | 0.538764i | ||||
\(191\) | −4.72843 | + | 1.53636i | −0.342137 | + | 0.111167i | −0.475045 | − | 0.879961i | \(-0.657568\pi\) |
0.132908 | + | 0.991128i | \(0.457568\pi\) | |||||||
\(192\) | 3.42185 | − | 11.5469i | 0.246950 | − | 0.833327i | ||||
\(193\) | −10.7665 | + | 7.82230i | −0.774988 | + | 0.563062i | −0.903471 | − | 0.428650i | \(-0.858989\pi\) |
0.128483 | + | 0.991712i | \(0.458989\pi\) | |||||||
\(194\) | −1.31281 | − | 4.04040i | −0.0942540 | − | 0.290084i | ||||
\(195\) | 4.82478 | − | 8.10208i | 0.345509 | − | 0.580202i | ||||
\(196\) | −1.10573 | − | 0.803358i | −0.0789805 | − | 0.0573827i | ||||
\(197\) | − | 0.0885134i | − | 0.00630632i | −0.999995 | − | 0.00315316i | \(-0.998996\pi\) | ||
0.999995 | − | 0.00315316i | \(-0.00100368\pi\) | |||||||
\(198\) | −10.8955 | + | 10.0391i | −0.774311 | + | 0.713444i | ||||
\(199\) | −25.7489 | −1.82529 | −0.912645 | − | 0.408753i | \(-0.865964\pi\) | ||||
−0.912645 | + | 0.408753i | \(0.865964\pi\) | |||||||
\(200\) | −9.13120 | − | 9.63368i | −0.645674 | − | 0.681204i | ||||
\(201\) | 2.78242 | − | 0.984936i | 0.196257 | − | 0.0694720i | ||||
\(202\) | 20.4256 | − | 6.63668i | 1.43714 | − | 0.466955i | ||||
\(203\) | 1.66100 | − | 1.20679i | 0.116579 | − | 0.0846999i | ||||
\(204\) | 0.111985 | + | 0.0331860i | 0.00784052 | + | 0.00232348i | ||||
\(205\) | 10.4947 | − | 16.6222i | 0.732980 | − | 1.16094i | ||||
\(206\) | −2.13921 | + | 6.58382i | −0.149046 | + | 0.458716i | ||||
\(207\) | −13.4005 | + | 10.8463i | −0.931402 | + | 0.753868i | ||||
\(208\) | −10.6816 | −0.740637 | ||||||||
\(209\) | 7.37747 | + | 18.5662i | 0.510310 | + | 1.28425i | ||||
\(210\) | −1.07068 | + | 4.72261i | −0.0738836 | + | 0.325891i | ||||
\(211\) | 13.8532 | − | 19.0672i | 0.953691 | − | 1.31264i | 0.00382262 | − | 0.999993i | \(-0.498783\pi\) |
0.949868 | − | 0.312650i | \(-0.101217\pi\) | |||||||
\(212\) | −0.503199 | + | 1.54869i | −0.0345599 | + | 0.106364i | ||||
\(213\) | 0.650936 | − | 0.946877i | 0.0446014 | − | 0.0648789i | ||||
\(214\) | 19.9924 | − | 14.5254i | 1.36666 | − | 0.992933i | ||||
\(215\) | −7.19741 | − | 1.83018i | −0.490860 | − | 0.124817i | ||||
\(216\) | −8.95492 | − | 10.4924i | −0.609305 | − | 0.713920i | ||||
\(217\) | −0.720094 | + | 2.21622i | −0.0488832 | + | 0.150447i | ||||
\(218\) | −20.9924 | − | 15.2518i | −1.42178 | − | 1.03299i | ||||
\(219\) | −22.1865 | + | 17.0201i | −1.49922 | + | 1.15011i | ||||
\(220\) | 1.16986 | − | 1.10644i | 0.0788722 | − | 0.0745959i | ||||
\(221\) | 0.756198i | 0.0508674i | ||||||||
\(222\) | −23.0584 | + | 0.601062i | −1.54758 | + | 0.0403407i | ||||
\(223\) | 19.2109 | + | 6.24199i | 1.28646 | + | 0.417995i | 0.870849 | − | 0.491550i | \(-0.163570\pi\) |
0.415606 | + | 0.909545i | \(0.363570\pi\) | |||||||
\(224\) | 0.976676 | − | 0.317341i | 0.0652569 | − | 0.0212033i | ||||
\(225\) | −14.7511 | + | 2.72130i | −0.983406 | + | 0.181420i | ||||
\(226\) | −0.105698 | − | 0.145481i | −0.00703093 | − | 0.00967725i | ||||
\(227\) | −0.613801 | + | 0.199436i | −0.0407394 | + | 0.0132370i | −0.329316 | − | 0.944220i | \(-0.606818\pi\) |
0.288576 | + | 0.957457i | \(0.406818\pi\) | |||||||
\(228\) | 2.13545 | − | 0.755917i | 0.141424 | − | 0.0500618i | ||||
\(229\) | 14.9958 | + | 10.8951i | 0.990949 | + | 0.719966i | 0.960129 | − | 0.279559i | \(-0.0901881\pi\) |
0.0308200 | + | 0.999525i | \(0.490188\pi\) | |||||||
\(230\) | 14.7143 | − | 12.2304i | 0.970230 | − | 0.806446i | ||||
\(231\) | 4.70318 | + | 1.07164i | 0.309446 | + | 0.0705087i | ||||
\(232\) | − | 6.49088i | − | 0.426147i | ||||||
\(233\) | 8.11799 | − | 11.1735i | 0.531827 | − | 0.731998i | −0.455580 | − | 0.890195i | \(-0.650568\pi\) |
0.987408 | + | 0.158197i | \(0.0505681\pi\) | |||||||
\(234\) | −5.92574 | + | 9.12010i | −0.387378 | + | 0.596200i | ||||
\(235\) | −0.472520 | + | 0.748408i | −0.0308238 | + | 0.0488208i | ||||
\(236\) | −1.41474 | − | 1.94723i | −0.0920920 | − | 0.126754i | ||||
\(237\) | −3.72721 | − | 1.10453i | −0.242108 | − | 0.0717470i | ||||
\(238\) | −0.119999 | − | 0.369320i | −0.00777840 | − | 0.0239394i | ||||
\(239\) | −2.85846 | + | 8.79745i | −0.184899 | + | 0.569059i | −0.999947 | − | 0.0103340i | \(-0.996711\pi\) |
0.815048 | + | 0.579393i | \(0.196711\pi\) | |||||||
\(240\) | 11.1978 | + | 12.7793i | 0.722812 | + | 0.824899i | ||||
\(241\) | − | 10.2810i | − | 0.662260i | −0.943585 | − | 0.331130i | \(-0.892570\pi\) | ||
0.943585 | − | 0.331130i | \(-0.107430\pi\) | |||||||
\(242\) | −11.2417 | − | 11.9120i | −0.722644 | − | 0.765733i | ||||
\(243\) | −15.4563 | + | 2.02552i | −0.991522 | + | 0.129937i | ||||
\(244\) | −0.946563 | + | 1.30283i | −0.0605975 | + | 0.0834053i | ||||
\(245\) | −13.0753 | + | 5.21204i | −0.835350 | + | 0.332985i | ||||
\(246\) | −12.8443 | + | 18.6839i | −0.818925 | + | 1.19124i | ||||
\(247\) | 8.62065 | + | 11.8653i | 0.548519 | + | 0.754972i | ||||
\(248\) | 4.33029 | + | 5.96013i | 0.274974 | + | 0.378469i | ||||
\(249\) | −0.435287 | + | 0.633185i | −0.0275852 | + | 0.0401265i | ||||
\(250\) | 16.3305 | − | 3.23329i | 1.03283 | − | 0.204491i | ||||
\(251\) | 1.70243 | − | 2.34320i | 0.107456 | − | 0.147901i | −0.751902 | − | 0.659275i | \(-0.770863\pi\) |
0.859358 | + | 0.511374i | \(0.170863\pi\) | |||||||
\(252\) | 0.141687 | − | 0.528280i | 0.00892543 | − | 0.0332785i | ||||
\(253\) | −12.1671 | − | 14.6706i | −0.764941 | − | 0.922330i | ||||
\(254\) | − | 8.27223i | − | 0.519046i | ||||||
\(255\) | 0.904701 | − | 0.792738i | 0.0566546 | − | 0.0496432i | ||||
\(256\) | 1.59197 | − | 4.89957i | 0.0994979 | − | 0.306223i | ||||
\(257\) | 3.03436 | + | 9.33880i | 0.189278 | + | 0.582538i | 0.999996 | − | 0.00289901i | \(-0.000922784\pi\) |
−0.810718 | + | 0.585437i | \(0.800923\pi\) | |||||||
\(258\) | 8.21247 | + | 2.43371i | 0.511286 | + | 0.151516i | ||||
\(259\) | 4.41433 | + | 6.07580i | 0.274293 | + | 0.377532i | ||||
\(260\) | 0.631069 | − | 0.999529i | 0.0391373 | − | 0.0619882i | ||||
\(261\) | −6.15081 | − | 3.99646i | −0.380726 | − | 0.247375i | ||||
\(262\) | 1.82897 | − | 2.51736i | 0.112994 | − | 0.155523i | ||||
\(263\) | 26.6343i | 1.64234i | 0.570681 | + | 0.821172i | \(0.306679\pi\) | ||||
−0.570681 | + | 0.821172i | \(0.693321\pi\) | |||||||
\(264\) | 11.4807 | − | 10.0379i | 0.706590 | − | 0.617790i | ||||
\(265\) | 10.7198 | + | 12.8969i | 0.658510 | + | 0.792249i | ||||
\(266\) | −6.09312 | − | 4.42691i | −0.373593 | − | 0.271431i | ||||
\(267\) | −27.2805 | + | 9.65688i | −1.66954 | + | 0.590992i | ||||
\(268\) | 0.351889 | − | 0.114336i | 0.0214951 | − | 0.00698417i | ||||
\(269\) | 0.0552221 | + | 0.0760067i | 0.00336695 | + | 0.00463421i | 0.810697 | − | 0.585466i | \(-0.199088\pi\) |
−0.807330 | + | 0.590100i | \(0.799088\pi\) | |||||||
\(270\) | 17.1232 | − | 2.47134i | 1.04208 | − | 0.150401i | ||||
\(271\) | −15.6499 | + | 5.08497i | −0.950666 | + | 0.308890i | −0.742986 | − | 0.669307i | \(-0.766591\pi\) |
−0.207680 | + | 0.978197i | \(0.566591\pi\) | |||||||
\(272\) | −1.29587 | − | 0.421052i | −0.0785734 | − | 0.0255300i | ||||
\(273\) | 3.53995 | − | 0.0922760i | 0.214248 | − | 0.00558480i | ||||
\(274\) | − | 15.0044i | − | 0.906451i | ||||||
\(275\) | −3.20312 | − | 16.2708i | −0.193155 | − | 0.981168i | ||||
\(276\) | −1.71468 | + | 1.31540i | −0.103212 | + | 0.0791777i | ||||
\(277\) | −1.04104 | − | 0.756358i | −0.0625498 | − | 0.0454451i | 0.556071 | − | 0.831135i | \(-0.312308\pi\) |
−0.618621 | + | 0.785690i | \(0.712308\pi\) | |||||||
\(278\) | −0.384534 | + | 1.18347i | −0.0230628 | + | 0.0709801i | ||||
\(279\) | 8.31405 | − | 0.433740i | 0.497749 | − | 0.0259673i | ||||
\(280\) | 1.22839 | − | 4.83083i | 0.0734106 | − | 0.288697i | ||||
\(281\) | 9.81270 | − | 7.12934i | 0.585376 | − | 0.425301i | −0.255282 | − | 0.966867i | \(-0.582168\pi\) |
0.840658 | + | 0.541566i | \(0.182168\pi\) | |||||||
\(282\) | 0.578312 | − | 0.841235i | 0.0344380 | − | 0.0500948i | ||||
\(283\) | 6.04941 | − | 18.6182i | 0.359600 | − | 1.10673i | −0.593694 | − | 0.804691i | \(-0.702331\pi\) |
0.953294 | − | 0.302044i | \(-0.0976689\pi\) | |||||||
\(284\) | 0.0846633 | − | 0.116529i | 0.00502384 | − | 0.00691472i | ||||
\(285\) | 5.15822 | − | 22.7522i | 0.305547 | − | 1.34773i | ||||
\(286\) | −10.1602 | − | 6.43024i | −0.600785 | − | 0.380228i | ||||
\(287\) | 7.38208 | 0.435750 | ||||||||
\(288\) | −2.30826 | − | 2.85185i | −0.136015 | − | 0.168047i | ||||
\(289\) | 5.22348 | − | 16.0762i | 0.307264 | − | 0.945660i | ||||
\(290\) | 6.88361 | + | 4.34608i | 0.404219 | + | 0.255211i | ||||
\(291\) | 4.73812 | + | 1.40411i | 0.277753 | + | 0.0823102i | ||||
\(292\) | −2.83583 | + | 2.06035i | −0.165954 | + | 0.120573i | ||||
\(293\) | −8.83686 | + | 2.87127i | −0.516255 | + | 0.167741i | −0.555545 | − | 0.831486i | \(-0.687490\pi\) |
0.0392900 | + | 0.999228i | \(0.487490\pi\) | |||||||
\(294\) | 15.3041 | − | 5.41743i | 0.892556 | − | 0.315951i | ||||
\(295\) | −24.7355 | + | 1.61390i | −1.44015 | + | 0.0939650i | ||||
\(296\) | 23.7431 | 1.38004 | ||||||||
\(297\) | −2.44327 | − | 17.0596i | −0.141773 | − | 0.989899i | ||||
\(298\) | − | 3.79866i | − | 0.220051i | ||||||
\(299\) | −11.3196 | − | 8.22419i | −0.654631 | − | 0.475617i | ||||
\(300\) | −1.85738 | + | 0.292828i | −0.107236 | + | 0.0169064i | ||||
\(301\) | −0.861796 | − | 2.65234i | −0.0496731 | − | 0.152878i | ||||
\(302\) | −8.81850 | + | 6.40701i | −0.507447 | + | 0.368682i | ||||
\(303\) | −7.09824 | + | 23.9528i | −0.407783 | + | 1.37605i | ||||
\(304\) | −25.1331 | + | 8.16624i | −1.44148 | + | 0.468366i | ||||
\(305\) | 6.14112 | + | 15.4061i | 0.351640 | + | 0.882149i | ||||
\(306\) | −1.07840 | + | 0.872844i | −0.0616478 | + | 0.0498971i | ||||
\(307\) | 23.0974 | 1.31824 | 0.659118 | − | 0.752039i | \(-0.270930\pi\) | ||||
0.659118 | + | 0.752039i | \(0.270930\pi\) | |||||||
\(308\) | 0.585865 | + | 0.149653i | 0.0333828 | + | 0.00852725i | ||||
\(309\) | −4.90137 | − | 6.38916i | −0.278829 | − | 0.363467i | ||||
\(310\) | −9.22017 | + | 0.601584i | −0.523670 | + | 0.0341677i | ||||
\(311\) | −14.6627 | − | 4.76420i | −0.831445 | − | 0.270153i | −0.137791 | − | 0.990461i | \(-0.544000\pi\) |
−0.693654 | + | 0.720309i | \(0.744000\pi\) | |||||||
\(312\) | 6.34219 | − | 9.22560i | 0.359056 | − | 0.522297i | ||||
\(313\) | 11.3737 | + | 15.6546i | 0.642880 | + | 0.884848i | 0.998765 | − | 0.0496818i | \(-0.0158207\pi\) |
−0.355886 | + | 0.934530i | \(0.615821\pi\) | |||||||
\(314\) | −6.96040 | + | 5.05703i | −0.392798 | + | 0.285385i | ||||
\(315\) | −3.82141 | − | 4.13840i | −0.215312 | − | 0.233172i | ||||
\(316\) | −0.463457 | − | 0.150586i | −0.0260715 | − | 0.00847114i | ||||
\(317\) | 9.38868 | + | 6.82127i | 0.527321 | + | 0.383121i | 0.819355 | − | 0.573287i | \(-0.194332\pi\) |
−0.292034 | + | 0.956408i | \(0.594332\pi\) | |||||||
\(318\) | −11.7731 | − | 15.3468i | −0.660203 | − | 0.860605i | ||||
\(319\) | 4.33671 | − | 6.85227i | 0.242809 | − | 0.383654i | ||||
\(320\) | −9.93833 | − | 11.9567i | −0.555570 | − | 0.668402i | ||||
\(321\) | 0.749062 | + | 28.7360i | 0.0418086 | + | 1.60389i | ||||
\(322\) | 6.83347 | + | 2.22033i | 0.380814 | + | 0.123734i | ||||
\(323\) | 0.578124 | + | 1.77928i | 0.0321677 | + | 0.0990019i | ||||
\(324\) | −1.94348 | + | 0.203334i | −0.107971 | + | 0.0112963i | ||||
\(325\) | −5.23449 | − | 10.9911i | −0.290357 | − | 0.609675i | ||||
\(326\) | 6.92346 | + | 21.3082i | 0.383455 | + | 1.18015i | ||||
\(327\) | 28.4534 | − | 10.0721i | 1.57348 | − | 0.556987i | ||||
\(328\) | 13.7179 | − | 18.8811i | 0.757446 | − | 1.04253i | ||||
\(329\) | −0.332376 | −0.0183245 | ||||||||
\(330\) | 2.95812 | + | 18.8964i | 0.162839 | + | 1.04021i | ||||
\(331\) | 4.08935 | 0.224771 | 0.112385 | − | 0.993665i | \(-0.464151\pi\) | ||||
0.112385 | + | 0.993665i | \(0.464151\pi\) | |||||||
\(332\) | −0.0566151 | + | 0.0779240i | −0.00310716 | + | 0.00427663i | ||||
\(333\) | 14.6187 | − | 22.4992i | 0.801101 | − | 1.23295i | ||||
\(334\) | 8.43405 | + | 25.9573i | 0.461490 | + | 1.42032i | ||||
\(335\) | 0.939061 | − | 3.69299i | 0.0513064 | − | 0.201769i | ||||
\(336\) | −1.81292 | + | 6.11766i | −0.0989031 | + | 0.333746i | ||||
\(337\) | 5.91989 | + | 18.2196i | 0.322477 | + | 0.992482i | 0.972567 | + | 0.232625i | \(0.0747314\pi\) |
−0.650089 | + | 0.759858i | \(0.725269\pi\) | |||||||
\(338\) | 10.0146 | + | 3.25395i | 0.544724 | + | 0.176991i | ||||
\(339\) | 0.209106 | − | 0.00545077i | 0.0113571 | − | 0.000296045i | ||||
\(340\) | 0.115960 | − | 0.0963846i | 0.00628879 | − | 0.00522719i | ||||
\(341\) | 0.589286 | + | 9.18515i | 0.0319116 | + | 0.497404i | ||||
\(342\) | −6.97043 | + | 25.9893i | −0.376918 | + | 1.40534i | ||||
\(343\) | −9.03167 | − | 6.56189i | −0.487664 | − | 0.354309i | ||||
\(344\) | −8.38532 | − | 2.72456i | −0.452106 | − | 0.146898i | ||||
\(345\) | 2.02734 | + | 22.1642i | 0.109148 | + | 1.19328i | ||||
\(346\) | −5.87828 | + | 4.27082i | −0.316018 | + | 0.229601i | ||||
\(347\) | −6.87069 | − | 9.45670i | −0.368838 | − | 0.507662i | 0.583747 | − | 0.811936i | \(-0.301586\pi\) |
−0.952585 | + | 0.304274i | \(0.901586\pi\) | |||||||
\(348\) | −0.757718 | − | 0.520897i | −0.0406179 | − | 0.0279230i | ||||
\(349\) | 8.60838 | + | 2.79703i | 0.460796 | + | 0.149722i | 0.530210 | − | 0.847866i | \(-0.322113\pi\) |
−0.0694142 | + | 0.997588i | \(0.522113\pi\) | |||||||
\(350\) | 4.30062 | + | 4.53728i | 0.229878 | + | 0.242528i | ||||
\(351\) | −4.83734 | − | 11.6902i | −0.258198 | − | 0.623975i | ||||
\(352\) | 3.12213 | − | 2.58936i | 0.166410 | − | 0.138013i | ||||
\(353\) | 9.10247 | 0.484476 | 0.242238 | − | 0.970217i | \(-0.422119\pi\) | ||||
0.242238 | + | 0.970217i | \(0.422119\pi\) | |||||||
\(354\) | 28.5802 | − | 0.745000i | 1.51902 | − | 0.0395963i | ||||
\(355\) | −0.549279 | − | 1.37796i | −0.0291527 | − | 0.0731347i | ||||
\(356\) | −3.45012 | + | 1.12101i | −0.182856 | + | 0.0594136i | ||||
\(357\) | 0.433096 | + | 0.128345i | 0.0229219 | + | 0.00679272i | ||||
\(358\) | −17.3612 | + | 12.6136i | −0.917566 | + | 0.666651i | ||||
\(359\) | −1.38757 | − | 4.27051i | −0.0732334 | − | 0.225389i | 0.907739 | − | 0.419534i | \(-0.137807\pi\) |
−0.980973 | + | 0.194145i | \(0.937807\pi\) | |||||||
\(360\) | −17.6860 | + | 2.08371i | −0.932134 | + | 0.109821i | ||||
\(361\) | 13.9837 | + | 10.1597i | 0.735983 | + | 0.534723i | ||||
\(362\) | − | 20.0870i | − | 1.05575i | ||||||
\(363\) | 18.8265 | − | 2.92624i | 0.988135 | − | 0.153588i | ||||
\(364\) | 0.443901 | 0.0232667 | ||||||||
\(365\) | 2.35040 | + | 36.0233i | 0.123025 | + | 1.88555i | ||||
\(366\) | −6.38313 | − | 18.0322i | −0.333652 | − | 0.942559i | ||||
\(367\) | −8.72302 | + | 2.83428i | −0.455338 | + | 0.147948i | −0.527701 | − | 0.849430i | \(-0.676946\pi\) |
0.0723634 | + | 0.997378i | \(0.476946\pi\) | |||||||
\(368\) | 20.3962 | − | 14.8187i | 1.06323 | − | 0.772480i | ||||
\(369\) | −9.44571 | − | 24.6244i | −0.491724 | − | 1.28190i | ||||
\(370\) | −15.8976 | + | 25.1797i | −0.826476 | + | 1.30903i | ||||
\(371\) | −1.94609 | + | 5.98946i | −0.101036 | + | 0.310957i | ||||
\(372\) | 1.04327 | − | 0.0271949i | 0.0540910 | − | 0.00140999i | ||||
\(373\) | −31.6743 | −1.64003 | −0.820016 | − | 0.572340i | \(-0.806036\pi\) | ||||
−0.820016 | + | 0.572340i | \(0.806036\pi\) | |||||||
\(374\) | −0.979138 | − | 1.18060i | −0.0506300 | − | 0.0610473i | ||||
\(375\) | −7.66208 | + | 17.7846i | −0.395668 | + | 0.918394i | ||||
\(376\) | −0.617645 | + | 0.850116i | −0.0318526 | + | 0.0438414i | ||||
\(377\) | 1.83962 | − | 5.66177i | 0.0947453 | − | 0.291596i | ||||
\(378\) | 4.21760 | + | 4.94174i | 0.216930 | + | 0.254176i | ||||
\(379\) | 7.52965 | − | 5.47061i | 0.386772 | − | 0.281006i | −0.377359 | − | 0.926067i | \(-0.623168\pi\) |
0.764131 | + | 0.645061i | \(0.223168\pi\) | |||||||
\(380\) | 0.720709 | − | 2.83429i | 0.0369716 | − | 0.145396i | ||||
\(381\) | 7.92951 | + | 5.45119i | 0.406241 | + | 0.279273i | ||||
\(382\) | 2.28764 | − | 7.04063i | 0.117046 | − | 0.360230i | ||||
\(383\) | −21.7551 | − | 15.8060i | −1.11164 | − | 0.807651i | −0.128715 | − | 0.991682i | \(-0.541085\pi\) |
−0.982920 | + | 0.184031i | \(0.941085\pi\) | |||||||
\(384\) | 13.4935 | + | 17.5894i | 0.688588 | + | 0.897606i | ||||
\(385\) | 4.52438 | − | 4.27908i | 0.230584 | − | 0.218082i | ||||
\(386\) | − | 19.8158i | − | 1.00860i | ||||||
\(387\) | −7.74470 | + | 6.26848i | −0.393685 | + | 0.318645i | ||||
\(388\) | 0.589158 | + | 0.191429i | 0.0299100 | + | 0.00971833i | ||||
\(389\) | −10.8590 | + | 3.52831i | −0.550575 | + | 0.178893i | −0.571076 | − | 0.820897i | \(-0.693474\pi\) |
0.0205011 | + | 0.999790i | \(0.493474\pi\) | |||||||
\(390\) | 5.53727 | + | 12.9031i | 0.280391 | + | 0.653373i | ||||
\(391\) | −1.04908 | − | 1.44394i | −0.0530544 | − | 0.0730231i | ||||
\(392\) | −15.8932 | + | 5.16402i | −0.802729 | + | 0.260822i | ||||
\(393\) | 1.20782 | + | 3.41207i | 0.0609265 | + | 0.172116i | ||||
\(394\) | 0.106626 | + | 0.0774680i | 0.00537172 | + | 0.00390278i | ||||
\(395\) | −3.85949 | + | 3.20797i | −0.194192 | + | 0.161411i | ||||
\(396\) | −0.250446 | − | 2.14576i | −0.0125854 | − | 0.107828i | ||||
\(397\) | 13.2971i | 0.667363i | 0.942686 | + | 0.333681i | \(0.108291\pi\) | ||||
−0.942686 | + | 0.333681i | \(0.891709\pi\) | |||||||
\(398\) | 22.5357 | − | 31.0178i | 1.12961 | − | 1.55478i | ||||
\(399\) | 8.25873 | − | 2.92346i | 0.413453 | − | 0.146356i | ||||
\(400\) | 21.7495 | − | 2.85030i | 1.08748 | − | 0.142515i | ||||
\(401\) | −12.7867 | − | 17.5994i | −0.638538 | − | 0.878872i | 0.359999 | − | 0.932953i | \(-0.382777\pi\) |
−0.998537 | + | 0.0540808i | \(0.982777\pi\) | |||||||
\(402\) | −1.24873 | + | 4.21381i | −0.0622811 | + | 0.210166i | ||||
\(403\) | 2.08797 | + | 6.42610i | 0.104009 | + | 0.320107i | ||||
\(404\) | −0.967738 | + | 2.97839i | −0.0481468 | + | 0.148181i | ||||
\(405\) | −8.91480 | + | 18.0423i | −0.442980 | + | 0.896531i | ||||
\(406\) | 3.05708i | 0.151720i | ||||||||
\(407\) | 25.0650 | + | 15.8633i | 1.24243 | + | 0.786315i | ||||
\(408\) | 1.13308 | − | 0.869227i | 0.0560957 | − | 0.0430331i | ||||
\(409\) | −11.1044 | + | 15.2839i | −0.549078 | + | 0.755740i | −0.989887 | − | 0.141860i | \(-0.954692\pi\) |
0.440809 | + | 0.897601i | \(0.354692\pi\) | |||||||
\(410\) | 10.8384 | + | 27.1901i | 0.535272 | + | 1.34282i | ||||
\(411\) | 14.3828 | + | 9.88755i | 0.709452 | + | 0.487717i | ||||
\(412\) | −0.593331 | − | 0.816651i | −0.0292313 | − | 0.0402335i | ||||
\(413\) | −5.47144 | − | 7.53079i | −0.269232 | − | 0.370566i | ||||
\(414\) | −1.33739 | − | 25.6354i | −0.0657290 | − | 1.25991i | ||||
\(415\) | 0.367308 | + | 0.921456i | 0.0180304 | + | 0.0452325i | ||||
\(416\) | 1.75024 | − | 2.40899i | 0.0858124 | − | 0.118111i | ||||
\(417\) | −0.881046 | − | 1.14848i | −0.0431450 | − | 0.0562415i | ||||
\(418\) | −28.8222 | − | 7.36231i | −1.40974 | − | 0.360102i | ||||
\(419\) | − | 22.2396i | − | 1.08648i | −0.839579 | − | 0.543238i | \(-0.817198\pi\) | ||
0.839579 | − | 0.543238i | \(-0.182802\pi\) | |||||||
\(420\) | −0.465351 | − | 0.531075i | −0.0227068 | − | 0.0259138i | ||||
\(421\) | −5.65642 | + | 17.4087i | −0.275677 | + | 0.848446i | 0.713363 | + | 0.700795i | \(0.247171\pi\) |
−0.989039 | + | 0.147651i | \(0.952829\pi\) | |||||||
\(422\) | 10.8444 | + | 33.3758i | 0.527899 | + | 1.62471i | ||||
\(423\) | 0.425290 | + | 1.10871i | 0.0206783 | + | 0.0539071i | ||||
\(424\) | 11.7028 | + | 16.1076i | 0.568340 | + | 0.782253i | ||||
\(425\) | −0.201785 | − | 1.53974i | −0.00978800 | − | 0.0746885i | ||||
\(426\) | 0.570925 | + | 1.61285i | 0.0276614 | + | 0.0781430i | ||||
\(427\) | −3.66078 | + | 5.03863i | −0.177157 | + | 0.243836i | ||||
\(428\) | 3.60342i | 0.174178i | ||||||||
\(429\) | 12.8592 | − | 5.50189i | 0.620846 | − | 0.265634i | ||||
\(430\) | 8.50394 | − | 7.06840i | 0.410097 | − | 0.340869i | ||||
\(431\) | 18.6351 | + | 13.5392i | 0.897623 | + | 0.652161i | 0.937854 | − | 0.347029i | \(-0.112810\pi\) |
−0.0402314 | + | 0.999190i | \(0.512810\pi\) | |||||||
\(432\) | 22.7264 | − | 1.78046i | 1.09342 | − | 0.0856622i | ||||
\(433\) | −22.8557 | + | 7.42627i | −1.09837 | + | 0.356884i | −0.801477 | − | 0.598026i | \(-0.795952\pi\) |
−0.296898 | + | 0.954909i | \(0.595952\pi\) | |||||||
\(434\) | −2.03948 | − | 2.80711i | −0.0978984 | − | 0.134746i | ||||
\(435\) | −8.70215 | + | 3.73447i | −0.417236 | + | 0.179054i | ||||
\(436\) | 3.59846 | − | 1.16921i | 0.172335 | − | 0.0559951i | ||||
\(437\) | −32.9218 | − | 10.6969i | −1.57486 | − | 0.511704i | ||||
\(438\) | −1.08498 | − | 41.6226i | −0.0518422 | − | 1.98880i | ||||
\(439\) | − | 22.8635i | − | 1.09121i | −0.838041 | − | 0.545607i | \(-0.816299\pi\) | ||
0.838041 | − | 0.545607i | \(-0.183701\pi\) | |||||||
\(440\) | −2.53704 | − | 19.5237i | −0.120949 | − | 0.930755i | ||||
\(441\) | −4.89206 | + | 18.2401i | −0.232955 | + | 0.868574i | ||||
\(442\) | −0.910936 | − | 0.661834i | −0.0433288 | − | 0.0314802i | ||||
\(443\) | 2.61128 | − | 8.03669i | 0.124066 | − | 0.381835i | −0.869664 | − | 0.493644i | \(-0.835665\pi\) |
0.993730 | + | 0.111809i | \(0.0356646\pi\) | |||||||
\(444\) | 1.90540 | − | 2.77167i | 0.0904262 | − | 0.131538i | ||||
\(445\) | −9.20710 | + | 36.2082i | −0.436458 | + | 1.71643i | ||||
\(446\) | −24.3329 | + | 17.6789i | −1.15219 | + | 0.837118i | ||||
\(447\) | 3.64129 | + | 2.50322i | 0.172227 | + | 0.118398i | ||||
\(448\) | 1.80423 | − | 5.55284i | 0.0852418 | − | 0.262347i | ||||
\(449\) | −12.3658 | + | 17.0201i | −0.583581 | + | 0.803230i | −0.994082 | − | 0.108630i | \(-0.965354\pi\) |
0.410502 | + | 0.911860i | \(0.365354\pi\) | |||||||
\(450\) | 9.63217 | − | 20.1513i | 0.454065 | − | 0.949940i | ||||
\(451\) | 27.0966 | − | 10.7671i | 1.27593 | − | 0.507003i | ||||
\(452\) | 0.0262214 | 0.00123335 | ||||||||
\(453\) | −0.330405 | − | 12.6752i | −0.0155238 | − | 0.595533i | ||||
\(454\) | 0.296960 | − | 0.913950i | 0.0139370 | − | 0.0428938i | ||||
\(455\) | 2.44062 | − | 3.86562i | 0.114418 | − | 0.181223i | ||||
\(456\) | 7.86965 | − | 26.5559i | 0.368530 | − | 1.24359i | ||||
\(457\) | 23.4701 | − | 17.0520i | 1.09789 | − | 0.797660i | 0.117172 | − | 0.993112i | \(-0.462617\pi\) |
0.980713 | + | 0.195451i | \(0.0626172\pi\) | |||||||
\(458\) | −26.2490 | + | 8.52881i | −1.22653 | + | 0.398525i | ||||
\(459\) | −0.126046 | − | 1.60890i | −0.00588333 | − | 0.0750971i | ||||
\(460\) | 0.181650 | + | 2.78406i | 0.00846950 | + | 0.129808i | ||||
\(461\) | 16.9353 | 0.788757 | 0.394378 | − | 0.918948i | \(-0.370960\pi\) | ||||
0.394378 | + | 0.918948i | \(0.370960\pi\) | |||||||
\(462\) | −5.40720 | + | 4.72766i | −0.251566 | + | 0.219951i | ||||
\(463\) | − | 11.4918i | − | 0.534068i | −0.963687 | − | 0.267034i | \(-0.913956\pi\) | ||
0.963687 | − | 0.267034i | \(-0.0860437\pi\) | |||||||
\(464\) | 8.67805 | + | 6.30497i | 0.402868 | + | 0.292701i | ||||
\(465\) | 5.49920 | − | 9.23461i | 0.255019 | − | 0.428245i | ||||
\(466\) | 6.35488 | + | 19.5583i | 0.294384 | + | 0.906021i | ||||
\(467\) | −25.5366 | + | 18.5534i | −1.18169 | + | 0.858550i | −0.992362 | − | 0.123363i | \(-0.960632\pi\) |
−0.189331 | + | 0.981913i | \(0.560632\pi\) | |||||||
\(468\) | −0.567992 | − | 1.48072i | −0.0262554 | − | 0.0684464i | ||||
\(469\) | 1.36091 | − | 0.442187i | 0.0628410 | − | 0.0204183i | ||||
\(470\) | −0.487997 | − | 1.22423i | −0.0225096 | − | 0.0564693i | ||||
\(471\) | −0.260787 | − | 10.0045i | −0.0120164 | − | 0.460983i | ||||
\(472\) | −29.4289 | −1.35457 | ||||||||
\(473\) | −7.03186 | − | 8.47868i | −0.323325 | − | 0.389850i | ||||
\(474\) | 4.59264 | − | 3.52319i | 0.210947 | − | 0.161826i | ||||
\(475\) | −20.7192 | − | 21.8594i | −0.950664 | − | 1.00298i | ||||
\(476\) | 0.0538530 | + | 0.0174979i | 0.00246835 | + | 0.000802014i | ||||
\(477\) | 22.4692 | − | 1.17220i | 1.02879 | − | 0.0536716i | ||||
\(478\) | −8.09587 | − | 11.1430i | −0.370297 | − | 0.509670i | ||||
\(479\) | −6.97638 | + | 5.06864i | −0.318759 | + | 0.231592i | −0.735646 | − | 0.677366i | \(-0.763121\pi\) |
0.416887 | + | 0.908958i | \(0.363121\pi\) | |||||||
\(480\) | −4.71688 | + | 0.431449i | −0.215295 | + | 0.0196929i | ||||
\(481\) | 20.7103 | + | 6.72918i | 0.944308 | + | 0.306824i | ||||
\(482\) | 12.3848 | + | 8.99810i | 0.564113 | + | 0.409852i | ||||
\(483\) | −6.63143 | + | 5.08722i | −0.301741 | + | 0.231477i | ||||
\(484\) | 2.36875 | − | 0.305197i | 0.107670 | − | 0.0138726i | ||||
\(485\) | 4.90628 | − | 4.07806i | 0.222783 | − | 0.185175i | ||||
\(486\) | 11.0876 | − | 20.3918i | 0.502942 | − | 0.924992i | ||||
\(487\) | −34.7245 | − | 11.2827i | −1.57352 | − | 0.511266i | −0.613140 | − | 0.789974i | \(-0.710094\pi\) |
−0.960376 | + | 0.278708i | \(0.910094\pi\) | |||||||
\(488\) | 6.08454 | + | 18.7263i | 0.275434 | + | 0.847700i | ||||
\(489\) | −24.9878 | − | 7.40496i | −1.12999 | − | 0.334864i | ||||
\(490\) | 5.16511 | − | 20.3125i | 0.233336 | − | 0.917625i | ||||
\(491\) | −11.5791 | − | 35.6367i | −0.522556 | − | 1.60826i | −0.769099 | − | 0.639129i | \(-0.779295\pi\) |
0.246543 | − | 0.969132i | \(-0.420705\pi\) | |||||||
\(492\) | −1.10323 | − | 3.11659i | −0.0497373 | − | 0.140507i | ||||
\(493\) | 0.446356 | − | 0.614357i | 0.0201029 | − | 0.0276692i | ||||
\(494\) | −21.8382 | −0.982546 | ||||||||
\(495\) | −20.0629 | − | 9.61670i | −0.901759 | − | 0.432238i | ||||
\(496\) | −12.1747 | −0.546661 | ||||||||
\(497\) | 0.327430 | − | 0.450669i | 0.0146872 | − | 0.0202153i | ||||
\(498\) | −0.381783 | − | 1.07853i | −0.0171081 | − | 0.0483301i | ||||
\(499\) | 0.669241 | + | 2.05971i | 0.0299593 | + | 0.0922054i | 0.964918 | − | 0.262551i | \(-0.0845638\pi\) |
−0.934959 | + | 0.354756i | \(0.884564\pi\) | |||||||
\(500\) | −1.01825 | + | 2.20360i | −0.0455373 | + | 0.0985481i | ||||
\(501\) | −30.4398 | − | 9.02060i | −1.35995 | − | 0.403011i | ||||
\(502\) | 1.33269 | + | 4.10159i | 0.0594807 | + | 0.183063i | ||||
\(503\) | 27.3239 | + | 8.87809i | 1.21831 | + | 0.395854i | 0.846468 | − | 0.532440i | \(-0.178725\pi\) |
0.371847 | + | 0.928294i | \(0.378725\pi\) | |||||||
\(504\) | −4.20734 | − | 5.19816i | −0.187410 | − | 0.231544i | ||||
\(505\) | 20.6160 | + | 24.8029i | 0.917398 | + | 1.10371i | ||||
\(506\) | 28.3214 | − | 1.81700i | 1.25904 | − | 0.0807754i | ||||
\(507\) | −9.71853 | + | 7.45545i | −0.431615 | + | 0.331108i | ||||
\(508\) | 0.975859 | + | 0.709003i | 0.0432967 | + | 0.0314569i | ||||
\(509\) | 19.0581 | + | 6.19235i | 0.844736 | + | 0.274471i | 0.699239 | − | 0.714888i | \(-0.253522\pi\) |
0.145496 | + | 0.989359i | \(0.453522\pi\) | |||||||
\(510\) | 0.163148 | + | 1.78364i | 0.00722431 | + | 0.0789809i | ||||
\(511\) | −10.9674 | + | 7.96829i | −0.485170 | + | 0.352496i | ||||
\(512\) | −10.5376 | − | 14.5037i | −0.465700 | − | 0.640981i | ||||
\(513\) | −20.3192 | − | 23.8079i | −0.897116 | − | 1.05115i | ||||
\(514\) | −13.9055 | − | 4.51816i | −0.613344 | − | 0.199288i | ||||
\(515\) | −10.3738 | + | 0.676857i | −0.457126 | + | 0.0298259i | ||||
\(516\) | −0.990981 | + | 0.760220i | −0.0436255 | + | 0.0334668i | ||||
\(517\) | −1.22002 | + | 0.484785i | −0.0536563 | + | 0.0213208i | ||||
\(518\) | −11.1825 | −0.491333 | ||||||||
\(519\) | −0.220243 | − | 8.44911i | −0.00966760 | − | 0.370875i | ||||
\(520\) | −5.35173 | − | 13.4258i | −0.234689 | − | 0.588758i | ||||
\(521\) | 14.8418 | − | 4.82239i | 0.650231 | − | 0.211273i | 0.0347148 | − | 0.999397i | \(-0.488948\pi\) |
0.615516 | + | 0.788125i | \(0.288948\pi\) | |||||||
\(522\) | 10.1975 | − | 3.91168i | 0.446333 | − | 0.171209i | ||||
\(523\) | 18.0675 | − | 13.1268i | 0.790037 | − | 0.573995i | −0.117938 | − | 0.993021i | \(-0.537628\pi\) |
0.907974 | + | 0.419026i | \(0.137628\pi\) | |||||||
\(524\) | 0.140209 | + | 0.431520i | 0.00612507 | + | 0.0188510i | ||||
\(525\) | −7.18331 | + | 1.13250i | −0.313505 | + | 0.0494262i | ||||
\(526\) | −32.0844 | − | 23.3107i | −1.39895 | − | 1.01639i | ||||
\(527\) | 0.861902i | 0.0375450i | ||||||||
\(528\) | 2.26837 | + | 25.0997i | 0.0987182 | + | 1.09232i | ||||
\(529\) | 10.0240 | 0.435827 | ||||||||
\(530\) | −24.9180 | + | 1.62581i | −1.08237 | + | 0.0706208i | ||||
\(531\) | −18.1195 | + | 27.8871i | −0.786320 | + | 1.21020i | ||||
\(532\) | 1.04447 | − | 0.339369i | 0.0452835 | − | 0.0147135i | ||||
\(533\) | 17.3169 | − | 12.5815i | 0.750078 | − | 0.544964i | ||||
\(534\) | 12.2433 | − | 41.3146i | 0.529819 | − | 1.78786i | ||||
\(535\) | 31.3796 | + | 19.8121i | 1.35666 | + | 0.856550i | ||||
\(536\) | 1.39797 | − | 4.30250i | 0.0603830 | − | 0.185840i | ||||
\(537\) | −0.650475 | − | 24.9540i | −0.0280701 | − | 1.07684i | ||||
\(538\) | −0.139891 | −0.00603112 | ||||||||
\(539\) | −20.2283 | − | 5.16709i | −0.871295 | − | 0.222562i | ||||
\(540\) | −1.17607 | + | 2.23181i | −0.0506100 | + | 0.0960417i | ||||
\(541\) | −4.61175 | + | 6.34754i | −0.198275 | + | 0.272902i | −0.896564 | − | 0.442914i | \(-0.853945\pi\) |
0.698289 | + | 0.715815i | \(0.253945\pi\) | |||||||
\(542\) | 7.57152 | − | 23.3028i | 0.325225 | − | 1.00094i | ||||
\(543\) | 19.2548 | + | 13.2368i | 0.826303 | + | 0.568047i | ||||
\(544\) | 0.307293 | − | 0.223261i | 0.0131751 | − | 0.00957225i | ||||
\(545\) | 9.60296 | − | 37.7649i | 0.411346 | − | 1.61767i | ||||
\(546\) | −2.98705 | + | 4.34508i | −0.127834 | + | 0.185952i | ||||
\(547\) | 9.75347 | − | 30.0181i | 0.417028 | − | 1.28348i | −0.493396 | − | 0.869805i | \(-0.664245\pi\) |
0.910424 | − | 0.413676i | \(-0.135755\pi\) | |||||||
\(548\) | 1.77004 | + | 1.28601i | 0.0756126 | + | 0.0549357i | ||||
\(549\) | 21.4915 | + | 5.76410i | 0.917234 | + | 0.246006i | ||||
\(550\) | 22.4037 | + | 10.3819i | 0.955296 | + | 0.442685i | ||||
\(551\) | − | 14.7282i | − | 0.627442i | ||||||
\(552\) | 0.688551 | + | 26.4146i | 0.0293067 | + | 1.12428i | ||||
\(553\) | −1.79239 | − | 0.582383i | −0.0762202 | − | 0.0247655i | ||||
\(554\) | 1.82226 | − | 0.592087i | 0.0774203 | − | 0.0251554i | ||||
\(555\) | −13.6604 | − | 31.8317i | −0.579850 | − | 1.35118i | ||||
\(556\) | −0.106654 | − | 0.146797i | −0.00452315 | − | 0.00622558i | ||||
\(557\) | 37.1728 | − | 12.0782i | 1.57506 | − | 0.511769i | 0.614284 | − | 0.789085i | \(-0.289445\pi\) |
0.960779 | + | 0.277316i | \(0.0894448\pi\) | |||||||
\(558\) | −6.75407 | + | 10.3949i | −0.285922 | + | 0.440053i | ||||
\(559\) | −6.54205 | − | 4.75308i | −0.276699 | − | 0.201034i | ||||
\(560\) | 5.26541 | + | 6.33478i | 0.222504 | + | 0.267693i | ||||
\(561\) | 1.77692 | − | 0.160588i | 0.0750214 | − | 0.00678003i | ||||
\(562\) | 18.0603i | 0.761829i | ||||||||
\(563\) | −5.84141 | + | 8.04001i | −0.246186 | + | 0.338846i | −0.914171 | − | 0.405329i | \(-0.867157\pi\) |
0.667985 | + | 0.744175i | \(0.267157\pi\) | |||||||
\(564\) | 0.0496725 | + | 0.140324i | 0.00209159 | + | 0.00590869i | ||||
\(565\) | 0.144168 | − | 0.228343i | 0.00606521 | − | 0.00960648i | ||||
\(566\) | 17.1334 | + | 23.5821i | 0.720171 | + | 0.991230i | ||||
\(567\) | −7.51630 | + | 0.786383i | −0.315655 | + | 0.0330250i | ||||
\(568\) | −0.544219 | − | 1.67493i | −0.0228349 | − | 0.0702786i | ||||
\(569\) | −11.6643 | + | 35.8991i | −0.488994 | + | 1.50497i | 0.337119 | + | 0.941462i | \(0.390548\pi\) |
−0.826112 | + | 0.563506i | \(0.809452\pi\) | |||||||
\(570\) | 22.8934 | + | 26.1268i | 0.958899 | + | 1.09433i | ||||
\(571\) | 19.5186i | 0.816829i | 0.912797 | + | 0.408414i | \(0.133918\pi\) | ||||
−0.912797 | + | 0.408414i | \(0.866082\pi\) | |||||||
\(572\) | 1.62938 | − | 0.647450i | 0.0681279 | − | 0.0270712i | ||||
\(573\) | 5.24144 | + | 6.83246i | 0.218964 | + | 0.285430i | ||||
\(574\) | −6.46088 | + | 8.89264i | −0.269672 | + | 0.371172i | ||||
\(575\) | 25.2432 | + | 13.7253i | 1.05271 | + | 0.572383i | ||||
\(576\) | −20.8312 | + | 1.08675i | −0.867968 | + | 0.0452814i | ||||
\(577\) | −0.640516 | − | 0.881595i | −0.0266650 | − | 0.0367013i | 0.795476 | − | 0.605985i | \(-0.207221\pi\) |
−0.822141 | + | 0.569283i | \(0.807221\pi\) | |||||||
\(578\) | 14.7942 | + | 20.3624i | 0.615357 | + | 0.846966i | ||||
\(579\) | 18.9948 | + | 13.0581i | 0.789397 | + | 0.542676i | ||||
\(580\) | −1.10268 | + | 0.439549i | −0.0457865 | + | 0.0182513i | ||||
\(581\) | −0.218956 | + | 0.301366i | −0.00908381 | + | 0.0125028i | ||||
\(582\) | −5.83828 | + | 4.47877i | −0.242005 | + | 0.185651i | ||||
\(583\) | 1.59258 | + | 24.8233i | 0.0659578 | + | 1.02808i | ||||
\(584\) | 42.8586i | 1.77350i | ||||||||
\(585\) | −16.0174 | − | 3.19495i | −0.662240 | − | 0.132095i | ||||
\(586\) | 4.27532 | − | 13.1581i | 0.176612 | − | 0.543556i | ||||
\(587\) | −3.49714 | − | 10.7631i | −0.144342 | − | 0.444240i | 0.852583 | − | 0.522591i | \(-0.175035\pi\) |
−0.996926 | + | 0.0783509i | \(0.975035\pi\) | |||||||
\(588\) | −0.672616 | + | 2.26972i | −0.0277382 | + | 0.0936018i | ||||
\(589\) | 9.82568 | + | 13.5239i | 0.404860 | + | 0.557242i | ||||
\(590\) | 19.7046 | − | 31.2095i | 0.811227 | − | 1.28487i | ||||
\(591\) | −0.144522 | + | 0.0511587i | −0.00594485 | + | 0.00210439i | ||||
\(592\) | −23.0631 | + | 31.7436i | −0.947886 | + | 1.30465i | ||||
\(593\) | − | 11.8491i | − | 0.486583i | −0.969953 | − | 0.243292i | \(-0.921773\pi\) | ||
0.969953 | − | 0.243292i | \(-0.0782272\pi\) | |||||||
\(594\) | 22.6888 | + | 11.9876i | 0.930934 | + | 0.491856i | ||||
\(595\) | 0.448467 | − | 0.372762i | 0.0183853 | − | 0.0152817i | ||||
\(596\) | 0.448121 | + | 0.325579i | 0.0183558 | + | 0.0133362i | ||||
\(597\) | 14.8822 | + | 42.0421i | 0.609090 | + | 1.72067i | ||||
\(598\) | 19.8141 | − | 6.43800i | 0.810261 | − | 0.263270i | ||||
\(599\) | −1.06761 | − | 1.46944i | −0.0436214 | − | 0.0600397i | 0.786649 | − | 0.617400i | \(-0.211814\pi\) |
−0.830271 | + | 0.557361i | \(0.811814\pi\) | |||||||
\(600\) | −10.4520 | + | 20.4772i | −0.426701 | + | 0.835979i | ||||
\(601\) | −1.91562 | + | 0.622424i | −0.0781399 | + | 0.0253892i | −0.347826 | − | 0.937559i | \(-0.613080\pi\) |
0.269686 | + | 0.962948i | \(0.413080\pi\) | |||||||
\(602\) | 3.94933 | + | 1.28321i | 0.160963 | + | 0.0522999i | ||||
\(603\) | −3.21635 | − | 3.97379i | −0.130980 | − | 0.161825i | ||||
\(604\) | − | 1.58944i | − | 0.0646734i | ||||||
\(605\) | 10.3659 | − | 22.3058i | 0.421435 | − | 0.906859i | ||||
\(606\) | −22.6417 | − | 29.5145i | −0.919756 | − | 1.19894i | ||||
\(607\) | −19.2387 | − | 13.9777i | −0.780874 | − | 0.567338i | 0.124367 | − | 0.992236i | \(-0.460310\pi\) |
−0.905241 | + | 0.424898i | \(0.860310\pi\) | |||||||
\(608\) | 2.27648 | − | 7.00628i | 0.0923234 | − | 0.284142i | ||||
\(609\) | −2.93043 | − | 2.01454i | −0.118747 | − | 0.0816333i | ||||
\(610\) | −23.9333 | − | 6.08583i | −0.969033 | − | 0.246408i | ||||
\(611\) | −0.779688 | + | 0.566476i | −0.0315428 | + | 0.0229172i | ||||
\(612\) | −0.0105396 | − | 0.202027i | −0.000426039 | − | 0.00816645i | ||||
\(613\) | −6.14878 | + | 18.9240i | −0.248347 | + | 0.764333i | 0.746721 | + | 0.665137i | \(0.231627\pi\) |
−0.995068 | + | 0.0991959i | \(0.968373\pi\) | |||||||
\(614\) | −20.2151 | + | 27.8237i | −0.815815 | + | 1.12287i | ||||
\(615\) | −33.2059 | − | 7.52820i | −1.33899 | − | 0.303566i | ||||
\(616\) | 5.69080 | − | 4.71971i | 0.229289 | − | 0.190162i | ||||
\(617\) | 7.42907 | 0.299083 | 0.149542 | − | 0.988755i | \(-0.452220\pi\) | ||||
0.149542 | + | 0.988755i | \(0.452220\pi\) | |||||||
\(618\) | 11.9863 | − | 0.312447i | 0.482159 | − | 0.0125685i | ||||
\(619\) | −3.02156 | + | 9.29941i | −0.121447 | + | 0.373775i | −0.993237 | − | 0.116105i | \(-0.962959\pi\) |
0.871790 | + | 0.489879i | \(0.162959\pi\) | |||||||
\(620\) | 0.719282 | − | 1.13925i | 0.0288871 | − | 0.0457533i | ||||
\(621\) | 25.4547 | + | 15.6111i | 1.02146 | + | 0.626453i | ||||
\(622\) | 18.5720 | − | 13.4934i | 0.744671 | − | 0.541035i | ||||
\(623\) | −13.3432 | + | 4.33545i | −0.534582 | + | 0.173696i | ||||
\(624\) | 6.17372 | + | 17.4406i | 0.247147 | + | 0.698184i | ||||
\(625\) | 13.5912 | + | 20.9829i | 0.543647 | + | 0.839314i | ||||
\(626\) | −28.8123 | −1.15157 | ||||||||
\(627\) | 26.0504 | − | 22.7766i | 1.04035 | − | 0.909609i | ||||
\(628\) | − | 1.25454i | − | 0.0500615i | ||||||
\(629\) | 2.24727 | + | 1.63273i | 0.0896043 | + | 0.0651014i | ||||
\(630\) | 8.32977 | − | 0.981388i | 0.331866 | − | 0.0390994i | ||||
\(631\) | −11.8841 | − | 36.5754i | −0.473098 | − | 1.45604i | −0.848506 | − | 0.529185i | \(-0.822498\pi\) |
0.375409 | − | 0.926859i | \(-0.377502\pi\) | |||||||
\(632\) | −4.82031 | + | 3.50216i | −0.191742 | + | 0.139309i | ||||
\(633\) | −39.1392 | − | 11.5986i | −1.55565 | − | 0.461004i | ||||
\(634\) | −16.4342 | + | 5.33978i | −0.652684 | + | 0.212070i | ||||
\(635\) | 11.5396 | − | 4.59988i | 0.457935 | − | 0.182541i | ||||
\(636\) | 2.81949 | − | 0.0734957i | 0.111800 | − | 0.00291429i | ||||
\(637\) | −15.3267 | −0.607265 | ||||||||
\(638\) | 4.45889 | + | 11.2213i | 0.176529 | + | 0.444256i | ||||
\(639\) | −1.92226 | − | 0.515557i | −0.0760434 | − | 0.0203951i | ||||
\(640\) | 28.5593 | − | 1.86339i | 1.12890 | − | 0.0736571i | ||||
\(641\) | −35.1825 | − | 11.4315i | −1.38962 | − | 0.451516i | −0.483804 | − | 0.875177i | \(-0.660745\pi\) |
−0.905821 | + | 0.423660i | \(0.860745\pi\) | |||||||
\(642\) | −35.2718 | − | 24.2478i | −1.39207 | − | 0.956983i | ||||
\(643\) | 11.1695 | + | 15.3735i | 0.440482 | + | 0.606271i | 0.970319 | − | 0.241828i | \(-0.0777470\pi\) |
−0.529837 | + | 0.848099i | \(0.677747\pi\) | |||||||
\(644\) | −0.847617 | + | 0.615830i | −0.0334008 | + | 0.0242671i | ||||
\(645\) | 1.17168 | + | 12.8095i | 0.0461347 | + | 0.504375i | ||||
\(646\) | −2.64935 | − | 0.860826i | −0.104237 | − | 0.0338688i | ||||
\(647\) | −3.08779 | − | 2.24341i | −0.121394 | − | 0.0881975i | 0.525432 | − | 0.850836i | \(-0.323904\pi\) |
−0.646825 | + | 0.762638i | \(0.723904\pi\) | |||||||
\(648\) | −11.9560 | + | 20.6857i | −0.469677 | + | 0.812612i | ||||
\(649\) | −31.0674 | − | 19.6621i | −1.21950 | − | 0.771806i | ||||
\(650\) | 17.8214 | + | 3.31391i | 0.699014 | + | 0.129982i | ||||
\(651\) | 4.03478 | − | 0.105175i | 0.158136 | − | 0.00412212i | ||||
\(652\) | −3.10709 | − | 1.00955i | −0.121683 | − | 0.0395372i | ||||
\(653\) | −9.63447 | − | 29.6518i | −0.377026 | − | 1.16037i | −0.942102 | − | 0.335327i | \(-0.891153\pi\) |
0.565076 | − | 0.825039i | \(-0.308847\pi\) | |||||||
\(654\) | −12.7697 | + | 43.0909i | −0.499334 | + | 1.68499i | ||||
\(655\) | 4.52869 | + | 1.15157i | 0.176950 | + | 0.0449954i | ||||
\(656\) | 11.9183 | + | 36.6807i | 0.465330 | + | 1.43214i | ||||
\(657\) | 40.6132 | + | 26.3882i | 1.58447 | + | 1.02950i | ||||
\(658\) | 0.290899 | − | 0.400389i | 0.0113404 | − | 0.0156088i | ||||
\(659\) | 25.0775 | 0.976880 | 0.488440 | − | 0.872598i | \(-0.337566\pi\) | ||||
0.488440 | + | 0.872598i | \(0.337566\pi\) | |||||||
\(660\) | −2.48271 | − | 1.27063i | −0.0966394 | − | 0.0494590i | ||||
\(661\) | 15.8866 | 0.617918 | 0.308959 | − | 0.951075i | \(-0.400019\pi\) | ||||
0.308959 | + | 0.951075i | \(0.400019\pi\) | |||||||
\(662\) | −3.57905 | + | 4.92614i | −0.139104 | + | 0.191460i | ||||
\(663\) | 1.23470 | − | 0.437064i | 0.0479517 | − | 0.0169742i | ||||
\(664\) | 0.363924 | + | 1.12004i | 0.0141230 | + | 0.0434661i | ||||
\(665\) | 2.78730 | − | 10.9614i | 0.108087 | − | 0.425066i | ||||
\(666\) | 14.3086 | + | 37.3016i | 0.554446 | + | 1.44541i | ||||
\(667\) | 4.34194 | + | 13.3631i | 0.168121 | + | 0.517422i | ||||
\(668\) | −3.78501 | − | 1.22982i | −0.146446 | − | 0.0475833i | ||||
\(669\) | −0.911686 | − | 34.9747i | −0.0352478 | − | 1.35220i | ||||
\(670\) | 3.62679 | + | 4.36336i | 0.140115 | + | 0.168571i | ||||
\(671\) | −6.08816 | + | 23.8342i | −0.235031 | + | 0.920108i | ||||
\(672\) | −1.08264 | − | 1.41127i | −0.0417638 | − | 0.0544410i | ||||
\(673\) | 24.0483 | + | 17.4721i | 0.926995 | + | 0.673501i | 0.945255 | − | 0.326332i | \(-0.105813\pi\) |
−0.0182602 | + | 0.999833i | \(0.505813\pi\) | |||||||
\(674\) | −27.1289 | − | 8.81472i | −1.04497 | − | 0.339530i | ||||
\(675\) | 12.9690 | + | 22.5123i | 0.499179 | + | 0.866499i | ||||
\(676\) | −1.24220 | + | 0.902514i | −0.0477771 | + | 0.0347121i | ||||
\(677\) | 16.0277 | + | 22.0602i | 0.615995 | + | 0.847844i | 0.997054 | − | 0.0767069i | \(-0.0244406\pi\) |
−0.381059 | + | 0.924551i | \(0.624441\pi\) | |||||||
\(678\) | −0.176446 | + | 0.256665i | −0.00677638 | + | 0.00985718i | ||||
\(679\) | 2.27853 | + | 0.740340i | 0.0874421 | + | 0.0284116i | ||||
\(680\) | −0.120036 | − | 1.83973i | −0.00460318 | − | 0.0705506i | ||||
\(681\) | 0.680396 | + | 0.886928i | 0.0260728 | + | 0.0339872i | ||||
\(682\) | −11.5804 | − | 7.32908i | −0.443437 | − | 0.280645i | ||||
\(683\) | −15.5577 | −0.595300 | −0.297650 | − | 0.954675i | \(-0.596203\pi\) | ||||
−0.297650 | + | 0.954675i | \(0.596203\pi\) | |||||||
\(684\) | −2.46848 | − | 3.04980i | −0.0943847 | − | 0.116612i | ||||
\(685\) | 20.9309 | − | 8.34341i | 0.799728 | − | 0.318785i | ||||
\(686\) | 15.8093 | − | 5.13674i | 0.603600 | − | 0.196122i | ||||
\(687\) | 9.12195 | − | 30.7818i | 0.348024 | − | 1.17440i | ||||
\(688\) | 11.7878 | − | 8.56433i | 0.449405 | − | 0.326512i | ||||
\(689\) | 5.64284 | + | 17.3669i | 0.214975 | + | 0.661625i | ||||
\(690\) | −28.4739 | − | 16.9562i | −1.08398 | − | 0.645510i | ||||
\(691\) | −14.9402 | − | 10.8547i | −0.568353 | − | 0.412933i | 0.266153 | − | 0.963931i | \(-0.414247\pi\) |
−0.834507 | + | 0.550998i | \(0.814247\pi\) | |||||||
\(692\) | − | 1.05950i | − | 0.0402760i | ||||||
\(693\) | −0.968584 | − | 8.29860i | −0.0367935 | − | 0.315238i | ||||
\(694\) | 17.4051 | 0.660688 | ||||||||
\(695\) | −1.86475 | + | 0.121668i | −0.0707340 | + | 0.00461515i | ||||
\(696\) | −10.5981 | + | 3.75157i | −0.401721 | + | 0.142203i | ||||
\(697\) | 2.59678 | − | 0.843746i | 0.0983602 | − | 0.0319592i | ||||
\(698\) | −10.9035 | + | 7.92189i | −0.412705 | + | 0.299848i | ||||
\(699\) | −22.9357 | − | 6.79683i | −0.867508 | − | 0.257080i | ||||
\(700\) | −0.903856 | + | 0.118451i | −0.0341626 | + | 0.00447703i | ||||
\(701\) | 13.1164 | − | 40.3682i | 0.495401 | − | 1.52469i | −0.320930 | − | 0.947103i | \(-0.603995\pi\) |
0.816331 | − | 0.577584i | \(-0.196005\pi\) | |||||||
\(702\) | 18.3160 | + | 4.40418i | 0.691292 | + | 0.166225i | ||||
\(703\) | 53.8744 | 2.03191 | ||||||||
\(704\) | −1.47648 | − | 23.0138i | −0.0556470 | − | 0.867365i | ||||
\(705\) | 1.49508 | + | 0.338955i | 0.0563082 | + | 0.0127658i | ||||
\(706\) | −7.96659 | + | 10.9651i | −0.299827 | + | 0.412676i | ||||
\(707\) | −3.74267 | + | 11.5188i | −0.140758 | + | 0.433207i | ||||
\(708\) | −2.36169 | + | 3.43541i | −0.0887577 | + | 0.129110i | ||||
\(709\) | −12.3701 | + | 8.98739i | −0.464568 | + | 0.337528i | −0.795321 | − | 0.606189i | \(-0.792697\pi\) |
0.330753 | + | 0.943717i | \(0.392697\pi\) | |||||||
\(710\) | 2.14067 | + | 0.544334i | 0.0803378 | + | 0.0204285i | ||||
\(711\) | 0.350791 | + | 6.72407i | 0.0131557 | + | 0.252172i | ||||
\(712\) | −13.7065 | + | 42.1842i | −0.513672 | + | 1.58092i | ||||
\(713\) | −12.9019 | − | 9.37379i | −0.483181 | − | 0.351051i | ||||
\(714\) | −0.533658 | + | 0.409389i | −0.0199717 | + | 0.0153210i | ||||
\(715\) | 3.32036 | − | 17.7489i | 0.124174 | − | 0.663771i | ||||
\(716\) | − | 3.12916i | − | 0.116942i | ||||||
\(717\) | 16.0163 | − | 0.417498i | 0.598141 | − | 0.0155918i | ||||
\(718\) | 6.35880 | + | 2.06610i | 0.237308 | + | 0.0771061i | ||||
\(719\) | −20.6602 | + | 6.71290i | −0.770494 | + | 0.250349i | −0.667777 | − | 0.744362i | \(-0.732754\pi\) |
−0.102718 | + | 0.994711i | \(0.532754\pi\) | |||||||
\(720\) | 14.3936 | − | 25.6695i | 0.536418 | − | 0.956646i | ||||
\(721\) | −2.29467 | − | 3.15835i | −0.0854581 | − | 0.117623i | ||||
\(722\) | −24.4774 | + | 7.95318i | −0.910954 | + | 0.295987i | ||||
\(723\) | −16.7866 | + | 5.94220i | −0.624300 | + | 0.220993i | ||||
\(724\) | 2.36963 | + | 1.72163i | 0.0880665 | + | 0.0639840i | ||||
\(725\) | −2.23498 | + | 12.0192i | −0.0830050 | + | 0.446382i | ||||
\(726\) | −12.9522 | + | 25.2400i | −0.480699 | + | 0.936744i | ||||
\(727\) | − | 50.7394i | − | 1.88182i | −0.338656 | − | 0.940910i | \(-0.609972\pi\) | ||
0.338656 | − | 0.940910i | \(-0.390028\pi\) | |||||||
\(728\) | 3.19021 | − | 4.39095i | 0.118237 | − | 0.162740i | ||||
\(729\) | 12.2406 | + | 24.0659i | 0.453355 | + | 0.891330i | ||||
\(730\) | −45.4517 | − | 28.6967i | −1.68224 | − | 1.06211i | ||||
\(731\) | −0.606306 | − | 0.834508i | −0.0224250 | − | 0.0308654i | ||||
\(732\) | 2.67432 | + | 0.792515i | 0.0988457 | + | 0.0292922i | ||||
\(733\) | −6.96380 | − | 21.4324i | −0.257214 | − | 0.791623i | −0.993385 | − | 0.114828i | \(-0.963368\pi\) |
0.736171 | − | 0.676795i | \(-0.236632\pi\) | |||||||
\(734\) | 4.22024 | − | 12.9886i | 0.155772 | − | 0.479417i | ||||
\(735\) | 16.0673 | + | 18.3365i | 0.592651 | + | 0.676354i | ||||
\(736\) | 7.02803i | 0.259057i | ||||||||
\(737\) | 4.35040 | − | 3.60804i | 0.160249 | − | 0.132904i | ||||
\(738\) | 37.9302 | + | 10.1730i | 1.39623 | + | 0.374474i | ||||
\(739\) | 11.1028 | − | 15.2817i | 0.408424 | − | 0.562148i | −0.554409 | − | 0.832244i | \(-0.687056\pi\) |
0.962833 | + | 0.270097i | \(0.0870556\pi\) | |||||||
\(740\) | −1.60783 | − | 4.03353i | −0.0591051 | − | 0.148275i | ||||
\(741\) | 14.3908 | − | 20.9334i | 0.528660 | − | 0.769009i | ||||
\(742\) | −5.51181 | − | 7.58636i | −0.202345 | − | 0.278504i | ||||
\(743\) | 22.5417 | + | 31.0260i | 0.826975 | + | 1.13823i | 0.988479 | + | 0.151361i | \(0.0483656\pi\) |
−0.161504 | + | 0.986872i | \(0.551634\pi\) | |||||||
\(744\) | 7.22873 | − | 10.5152i | 0.265018 | − | 0.385506i | ||||
\(745\) | 5.29906 | − | 2.11229i | 0.194143 | − | 0.0773885i | ||||
\(746\) | 27.7217 | − | 38.1557i | 1.01496 | − | 1.39698i | ||||
\(747\) | 1.28543 | + | 0.344758i | 0.0470315 | + | 0.0126140i | ||||
\(748\) | 0.223194 | − | 0.0143193i | 0.00816078 | − | 0.000523566i | ||||
\(749\) | 13.9360i | 0.509211i | ||||||||
\(750\) | −14.7179 | − | 24.7953i | −0.537421 | − | 0.905395i | ||||
\(751\) | −0.891345 | + | 2.74328i | −0.0325256 | + | 0.100104i | −0.966001 | − | 0.258537i | \(-0.916760\pi\) |
0.933476 | + | 0.358641i | \(0.116760\pi\) | |||||||
\(752\) | −0.536616 | − | 1.65154i | −0.0195684 | − | 0.0602253i | ||||
\(753\) | −4.80987 | − | 1.42537i | −0.175281 | − | 0.0519433i | ||||
\(754\) | 5.21026 | + | 7.17131i | 0.189746 | + | 0.261164i | ||||
\(755\) | −13.8413 | − | 8.73893i | −0.503736 | − | 0.318042i | ||||
\(756\) | −0.944453 | + | 0.0739913i | −0.0343494 | + | 0.00269104i | ||||
\(757\) | 21.3847 | − | 29.4335i | 0.777239 | − | 1.06978i | −0.218343 | − | 0.975872i | \(-0.570065\pi\) |
0.995581 | − | 0.0939049i | \(-0.0299350\pi\) | |||||||
\(758\) | 13.8584i | 0.503358i | ||||||||
\(759\) | −16.9214 | + | 28.3454i | −0.614206 | + | 1.02887i | ||||
\(760\) | −22.8564 | − | 27.4984i | −0.829090 | − | 0.997472i | ||||
\(761\) | −3.03234 | − | 2.20312i | −0.109922 | − | 0.0798631i | 0.531466 | − | 0.847079i | \(-0.321641\pi\) |
−0.641388 | + | 0.767216i | \(0.721641\pi\) | |||||||
\(762\) | −13.5067 | + | 4.78115i | −0.489295 | + | 0.173203i | ||||
\(763\) | 13.9168 | − | 4.52186i | 0.503824 | − | 0.163702i | ||||
\(764\) | 0.634499 | + | 0.873313i | 0.0229554 | + | 0.0315953i | ||||
\(765\) | −1.81726 | − | 1.01899i | −0.0657030 | − | 0.0368415i | ||||
\(766\) | 38.0807 | − | 12.3732i | 1.37591 | − | 0.447061i | ||||
\(767\) | −25.6698 | − | 8.34063i | −0.926884 | − | 0.301163i | ||||
\(768\) | −8.92000 | + | 0.232518i | −0.321873 | + | 0.00839026i | ||||
\(769\) | − | 42.5876i | − | 1.53575i | −0.640602 | − | 0.767873i | \(-0.721315\pi\) | ||
0.640602 | − | 0.767873i | \(-0.278685\pi\) | |||||||
\(770\) | 1.19490 | + | 9.19529i | 0.0430612 | + | 0.331375i | ||||
\(771\) | 13.4943 | − | 10.3520i | 0.485987 | − | 0.372819i | ||||
\(772\) | 2.33763 | + | 1.69839i | 0.0841331 | + | 0.0611262i | ||||
\(773\) | −11.2114 | + | 34.5052i | −0.403247 | + | 1.24107i | 0.519103 | + | 0.854712i | \(0.326266\pi\) |
−0.922350 | + | 0.386355i | \(0.873734\pi\) | |||||||
\(774\) | −0.772928 | − | 14.8157i | −0.0277823 | − | 0.532540i | ||||
\(775\) | −5.96619 | − | 12.5274i | −0.214312 | − | 0.449999i | ||||
\(776\) | 6.12770 | − | 4.45204i | 0.219972 | − | 0.159819i | ||||
\(777\) | 7.36902 | − | 10.7193i | 0.264362 | − | 0.384551i | ||||
\(778\) | 5.25366 | − | 16.1691i | 0.188353 | − | 0.579690i | ||||
\(779\) | 31.1268 | − | 42.8423i | 1.11523 | − | 1.53499i | ||||
\(780\) | −1.99675 | − | 0.452688i | −0.0714950 | − | 0.0162088i | ||||
\(781\) | 0.544542 | − | 2.13179i | 0.0194853 | − | 0.0762816i | ||||
\(782\) | 2.65758 | 0.0950348 | ||||||||
\(783\) | −2.97029 | + | 12.3527i | −0.106149 | + | 0.441451i | ||||
\(784\) | 8.53392 | − | 26.2647i | 0.304783 | − | 0.938026i | ||||
\(785\) | −10.9249 | − | 6.89760i | −0.389926 | − | 0.246186i | ||||
\(786\) | −5.16737 | − | 1.53131i | −0.184314 | − | 0.0546201i | ||||
\(787\) | −26.7006 | + | 19.3991i | −0.951772 | + | 0.691503i | −0.951225 | − | 0.308497i | \(-0.900174\pi\) |
−0.000547062 | 1.00000i | \(0.500174\pi\) | ||||||||
\(788\) | −0.0182775 | + | 0.00593873i | −0.000651110 | + | 0.000211558i | ||||
\(789\) | 43.4878 | − | 15.3940i | 1.54821 | − | 0.548042i | ||||
\(790\) | −0.486537 | − | 7.45690i | −0.0173102 | − | 0.265305i | ||||
\(791\) | 0.101410 | 0.00360571 | ||||||||
\(792\) | −23.0252 | − | 12.9437i | −0.818164 | − | 0.459936i | ||||
\(793\) | 18.0588i | 0.641286i | ||||||||
\(794\) | −16.0181 | − | 11.6378i | −0.568459 | − | 0.413010i | ||||
\(795\) | 14.8619 | − | 24.9570i | 0.527097 | − | 0.885135i | ||||
\(796\) | 1.72760 | + | 5.31700i | 0.0612331 | + | 0.188456i | ||||
\(797\) | 3.56521 | − | 2.59027i | 0.126286 | − | 0.0917522i | −0.522849 | − | 0.852425i | \(-0.675131\pi\) |
0.649135 | + | 0.760673i | \(0.275131\pi\) | |||||||
\(798\) | −3.70646 | + | 12.5073i | −0.131207 | + | 0.442755i | ||||
\(799\) | −0.116919 | + | 0.0379894i | −0.00413631 | + | 0.00134397i | ||||
\(800\) | −2.92095 | + | 5.37215i | −0.103271 | + | 0.189934i | ||||
\(801\) | 31.5350 | + | 38.9614i | 1.11423 | + | 1.37663i | ||||
\(802\) | 32.3918 | 1.14379 | ||||||||
\(803\) | −28.6348 | + | 45.2448i | −1.01050 | + | 1.59666i | ||||
\(804\) | −0.390068 | − | 0.508471i | −0.0137566 | − | 0.0179324i | ||||
\(805\) | 0.702522 | + | 10.7672i | 0.0247607 | + | 0.379494i | ||||
\(806\) | −9.56846 | − | 3.10898i | −0.337035 | − | 0.109509i | ||||
\(807\) | 0.0921845 | − | 0.134095i | 0.00324505 | − | 0.00472037i | ||||
\(808\) | 22.5066 | + | 30.9776i | 0.791778 | + | 1.08979i | ||||
\(809\) | 9.62140 | − | 6.99036i | 0.338270 | − | 0.245768i | −0.405661 | − | 0.914023i | \(-0.632959\pi\) |
0.743932 | + | 0.668256i | \(0.232959\pi\) | |||||||
\(810\) | −13.9319 | − | 26.5299i | −0.489519 | − | 0.932165i | ||||
\(811\) | −16.6928 | − | 5.42382i | −0.586164 | − | 0.190456i | 0.000896229 | − | 1.00000i | \(-0.499715\pi\) |
−0.587060 | + | 0.809543i | \(0.699715\pi\) | |||||||
\(812\) | −0.360638 | − | 0.262019i | −0.0126559 | − | 0.00919506i | ||||
\(813\) | 17.3479 | + | 22.6138i | 0.608417 | + | 0.793100i | ||||
\(814\) | −41.0466 | + | 16.3102i | −1.43868 | + | 0.571674i | ||||
\(815\) | −25.8747 | + | 21.5068i | −0.906350 | + | 0.753350i | ||||
\(816\) | 0.0614976 | + | 2.35921i | 0.00215285 | + | 0.0825889i | ||||
\(817\) | −19.0268 | − | 6.18218i | −0.665663 | − | 0.216287i | ||||
\(818\) | −8.69268 | − | 26.7533i | −0.303932 | − | 0.935408i | ||||
\(819\) | −2.19668 | − | 5.72660i | −0.0767581 | − | 0.200104i | ||||
\(820\) | −4.13651 | − | 1.05184i | −0.144453 | − | 0.0367319i | ||||
\(821\) | 3.71059 | + | 11.4200i | 0.129500 | + | 0.398561i | 0.994694 | − | 0.102876i | \(-0.0328046\pi\) |
−0.865194 | + | 0.501438i | \(0.832805\pi\) | |||||||
\(822\) | −24.4988 | + | 8.67221i | −0.854494 | + | 0.302478i | ||||
\(823\) | −13.5738 | + | 18.6827i | −0.473152 | + | 0.651238i | −0.977171 | − | 0.212454i | \(-0.931854\pi\) |
0.504019 | + | 0.863693i | \(0.331854\pi\) | |||||||
\(824\) | −12.3422 | −0.429962 | ||||||||
\(825\) | −24.7152 | + | 14.6341i | −0.860474 | + | 0.509495i | ||||
\(826\) | 13.8605 | 0.482267 | ||||||||
\(827\) | 8.83432 | − | 12.1594i | 0.307199 | − | 0.422824i | −0.627306 | − | 0.778773i | \(-0.715842\pi\) |
0.934505 | + | 0.355949i | \(0.115842\pi\) | |||||||
\(828\) | 3.13879 | + | 2.03942i | 0.109081 | + | 0.0708746i | ||||
\(829\) | 3.83757 | + | 11.8108i | 0.133284 | + | 0.410207i | 0.995319 | − | 0.0966421i | \(-0.0308102\pi\) |
−0.862035 | + | 0.506849i | \(0.830810\pi\) | |||||||
\(830\) | −1.43148 | − | 0.364001i | −0.0496875 | − | 0.0126347i | ||||
\(831\) | −0.633264 | + | 2.13693i | −0.0219677 | + | 0.0741294i | ||||
\(832\) | −5.23149 | − | 16.1009i | −0.181369 | − | 0.558197i | ||||
\(833\) | −1.85939 | − | 0.604154i | −0.0644242 | − | 0.0209327i | ||||
\(834\) | 2.15460 | − | 0.0561639i | 0.0746076 | − | 0.00194480i | ||||
\(835\) | −31.5201 | + | 26.1992i | −1.09080 | + | 0.906662i | ||||
\(836\) | 3.33884 | − | 2.76909i | 0.115476 | − | 0.0957710i | ||||
\(837\) | −5.51352 | − | 13.3243i | −0.190575 | − | 0.460554i | ||||
\(838\) | 26.7904 | + | 19.4644i | 0.925460 | + | 0.672386i | ||||
\(839\) | −2.92227 | − | 0.949502i | −0.100888 | − | 0.0327804i | 0.258138 | − | 0.966108i | \(-0.416891\pi\) |
−0.359026 | + | 0.933328i | \(0.616891\pi\) | |||||||
\(840\) | −8.59762 | + | 0.786417i | −0.296646 | + | 0.0271340i | ||||
\(841\) | 18.6250 | − | 13.5318i | 0.642241 | − | 0.466615i | ||||
\(842\) | −16.0204 | − | 22.0501i | −0.552098 | − | 0.759898i | ||||
\(843\) | −17.3121 | − | 11.9013i | −0.596260 | − | 0.409903i | ||||
\(844\) | −4.86674 | − | 1.58130i | −0.167520 | − | 0.0544306i | ||||
\(845\) | 1.02956 | + | 15.7796i | 0.0354181 | + | 0.542835i | ||||
\(846\) | −1.70780 | − | 0.458038i | −0.0587152 | − | 0.0157477i | ||||
\(847\) | 9.16100 | − | 1.18033i | 0.314776 | − | 0.0405567i | ||||
\(848\) | −32.9028 | −1.12989 | ||||||||
\(849\) | −33.8956 | + | 0.883557i | −1.16329 | + | 0.0303236i | ||||
\(850\) | 2.03142 | + | 1.10453i | 0.0696771 | + | 0.0378850i | ||||
\(851\) | −48.8812 | + | 15.8825i | −1.67563 | + | 0.544444i | ||||
\(852\) | −0.239199 | − | 0.0708848i | −0.00819481 | − | 0.00242847i | ||||
\(853\) | 7.35944 | − | 5.34694i | 0.251982 | − | 0.183076i | −0.454623 | − | 0.890684i | \(-0.650226\pi\) |
0.706605 | + | 0.707608i | \(0.250226\pi\) | |||||||
\(854\) | −2.86571 | − | 8.81973i | −0.0980624 | − | 0.301805i | ||||
\(855\) | −40.1305 | + | 4.72806i | −1.37244 | + | 0.161696i | ||||
\(856\) | 35.6441 | + | 25.8970i | 1.21829 | + | 0.885140i | ||||
\(857\) | − | 16.7404i | − | 0.571843i | −0.958253 | − | 0.285921i | \(-0.907700\pi\) | ||
0.958253 | − | 0.285921i | \(-0.0922996\pi\) | |||||||
\(858\) | −4.62676 | + | 20.3058i | −0.157955 | + | 0.693228i | ||||
\(859\) | 40.7496 | 1.39036 | 0.695179 | − | 0.718836i | \(-0.255325\pi\) | ||||
0.695179 | + | 0.718836i | \(0.255325\pi\) | |||||||
\(860\) | 0.104983 | + | 1.60902i | 0.00357989 | + | 0.0548671i | ||||
\(861\) | −4.26667 | − | 12.0532i | −0.145408 | − | 0.410774i | ||||
\(862\) | −32.6194 | + | 10.5987i | −1.11102 | + | 0.360993i | ||||
\(863\) | 0.766527 | − | 0.556915i | 0.0260929 | − | 0.0189576i | −0.574662 | − | 0.818391i | \(-0.694867\pi\) |
0.600755 | + | 0.799433i | \(0.294867\pi\) | |||||||
\(864\) | −3.32230 | + | 5.41716i | −0.113027 | + | 0.184295i | ||||
\(865\) | −9.22641 | − | 5.82524i | −0.313707 | − | 0.198064i | ||||
\(866\) | 11.0577 | − | 34.0321i | 0.375756 | − | 1.15646i | ||||
\(867\) | −29.2678 | + | 0.762925i | −0.993988 | + | 0.0259103i | ||||
\(868\) | 0.505951 | 0.0171731 | ||||||||
\(869\) | −7.42857 | + | 0.476591i | −0.251997 | + | 0.0161672i | ||||
\(870\) | 3.11759 | − | 13.7513i | 0.105696 | − | 0.466212i | ||||
\(871\) | 2.43880 | − | 3.35672i | 0.0826355 | − | 0.113738i | ||||
\(872\) | 14.2958 | − | 43.9979i | 0.484116 | − | 1.48996i | ||||
\(873\) | −0.445934 | − | 8.54780i | −0.0150926 | − | 0.289299i | ||||
\(874\) | 41.6994 | − | 30.2964i | 1.41050 | − | 1.02479i | ||||
\(875\) | −3.93800 | + | 8.52230i | −0.133129 | + | 0.288106i | ||||
\(876\) | 5.00313 | + | 3.43943i | 0.169040 | + | 0.116208i | ||||
\(877\) | 3.81384 | − | 11.7378i | 0.128784 | − | 0.396357i | −0.865787 | − | 0.500412i | \(-0.833182\pi\) |
0.994572 | + | 0.104055i | \(0.0331818\pi\) | |||||||
\(878\) | 27.5419 | + | 20.0104i | 0.929495 | + | 0.675318i | ||||
\(879\) | 9.79563 | + | 12.7691i | 0.330398 | + | 0.430689i | ||||
\(880\) | 28.5668 | + | 15.5726i | 0.962986 | + | 0.524951i | ||||
\(881\) | 28.7037i | 0.967052i | 0.875330 | + | 0.483526i | \(0.160644\pi\) | ||||
−0.875330 | + | 0.483526i | \(0.839356\pi\) | |||||||
\(882\) | −17.6909 | − | 21.8570i | −0.595682 | − | 0.735964i | ||||
\(883\) | −29.0294 | − | 9.43222i | −0.976916 | − | 0.317419i | −0.223312 | − | 0.974747i | \(-0.571687\pi\) |
−0.753605 | + | 0.657328i | \(0.771687\pi\) | |||||||
\(884\) | 0.156151 | − | 0.0507364i | 0.00525191 | − | 0.00170645i | ||||
\(885\) | 16.9316 | + | 39.4546i | 0.569151 | + | 1.32625i | ||||
\(886\) | 7.39579 | + | 10.1794i | 0.248466 | + | 0.341985i | ||||
\(887\) | 30.7573 | − | 9.99365i | 1.03273 | − | 0.335554i | 0.256860 | − | 0.966449i | \(-0.417312\pi\) |
0.775869 | + | 0.630894i | \(0.217312\pi\) | |||||||
\(888\) | −13.7229 | − | 38.7670i | −0.460512 | − | 1.30094i | ||||
\(889\) | 3.77408 | + | 2.74203i | 0.126578 | + | 0.0919646i | ||||
\(890\) | −35.5591 | − | 42.7809i | −1.19194 | − | 1.43402i | ||||
\(891\) | −26.4423 | + | 13.8494i | −0.885851 | + | 0.463971i | ||||
\(892\) | − | 4.38574i | − | 0.146845i | ||||||
\(893\) | −1.40147 | + | 1.92896i | −0.0468985 | + | 0.0645503i | ||||
\(894\) | −6.20235 | + | 2.19554i | −0.207438 | + | 0.0734297i | ||||
\(895\) | −27.2497 | − | 17.2045i | −0.910856 | − | 0.575084i | ||||
\(896\) | 6.31726 | + | 8.69496i | 0.211045 | + | 0.290478i | ||||
\(897\) | −6.88574 | + | 23.2357i | −0.229908 | + | 0.775819i | ||||
\(898\) | −9.68016 | − | 29.7925i | −0.323031 | − | 0.994187i | ||||
\(899\) | 2.09677 | − | 6.45320i | 0.0699312 | − | 0.215226i | ||||
\(900\) | 1.55164 | + | 2.86343i | 0.0517215 | + | 0.0954477i | ||||
\(901\) | 2.32934i | 0.0776014i | ||||||||
\(902\) | −10.7450 | + | 42.0648i | −0.357768 | + | 1.40060i | ||||
\(903\) | −3.83256 | + | 2.94010i | −0.127540 | + | 0.0978405i | ||||
\(904\) | 0.188447 | − | 0.259375i | 0.00626765 | − | 0.00862668i | ||||
\(905\) | 28.0210 | − | 11.1696i | 0.931449 | − | 0.371291i | ||||
\(906\) | 15.5581 | + | 10.6955i | 0.516882 | + | 0.355334i | ||||
\(907\) | −1.94785 | − | 2.68099i | −0.0646774 | − | 0.0890208i | 0.775453 | − | 0.631405i | \(-0.217522\pi\) |
−0.840130 | + | 0.542385i | \(0.817522\pi\) | |||||||
\(908\) | 0.0823649 | + | 0.113365i | 0.00273337 | + | 0.00376217i | ||||
\(909\) | 43.2120 | − | 2.25435i | 1.43325 | − | 0.0747721i | ||||
\(910\) | 2.52056 | + | 6.32328i | 0.0835559 | + | 0.209615i | ||||
\(911\) | −20.3107 | + | 27.9553i | −0.672923 | + | 0.926200i | −0.999822 | − | 0.0188597i | \(-0.993996\pi\) |
0.326899 | + | 0.945059i | \(0.393996\pi\) | |||||||
\(912\) | 27.8599 | + | 36.3167i | 0.922535 | + | 1.20257i | ||||
\(913\) | −0.364141 | + | 1.42555i | −0.0120513 | + | 0.0471788i | ||||
\(914\) | 43.1968i | 1.42882i | ||||||||
\(915\) | 21.6052 | − | 18.9314i | 0.714245 | − | 0.625853i | ||||
\(916\) | 1.24364 | − | 3.82754i | 0.0410911 | − | 0.126465i | ||||
\(917\) | 0.542251 | + | 1.66888i | 0.0179067 | + | 0.0551112i | ||||
\(918\) | 2.04844 | + | 1.25629i | 0.0676086 | + | 0.0414638i | ||||
\(919\) | 24.5699 | + | 33.8175i | 0.810485 | + | 1.11554i | 0.991248 | + | 0.132010i | \(0.0421432\pi\) |
−0.180763 | + | 0.983527i | \(0.557857\pi\) | |||||||
\(920\) | 28.8447 | + | 18.2116i | 0.950982 | + | 0.600418i | ||||
\(921\) | −13.3497 | − | 37.7127i | −0.439889 | − | 1.24268i | ||||
\(922\) | −14.8220 | + | 20.4007i | −0.488137 | + | 0.671863i | ||||
\(923\) | − | 1.61523i | − | 0.0531659i | ||||||
\(924\) | −0.0942679 | − | 1.04308i | −0.00310119 | − | 0.0343148i | ||||
\(925\) | −43.9652 | − | 8.17536i | −1.44557 | − | 0.268804i | ||||
\(926\) | 13.8433 | + | 10.0577i | 0.454919 | + | 0.330518i | ||||
\(927\) | −7.59916 | + | 11.6956i | −0.249589 | + | 0.384134i | ||||
\(928\) | −2.84388 | + | 0.924034i | −0.0933551 | + | 0.0303329i | ||||
\(929\) | −20.2691 | − | 27.8981i | −0.665009 | − | 0.915306i | 0.334626 | − | 0.942351i | \(-0.391390\pi\) |
−0.999634 | + | 0.0270453i | \(0.991390\pi\) | |||||||
\(930\) | 6.31129 | + | 14.7067i | 0.206955 | + | 0.482253i | ||||
\(931\) | −36.0626 | + | 11.7175i | −1.18191 | + | 0.384024i | ||||
\(932\) | −2.85192 | − | 0.926646i | −0.0934179 | − | 0.0303533i | ||||
\(933\) | 0.695844 | + | 26.6944i | 0.0227809 | + | 0.873936i | ||||
\(934\) | − | 47.0002i | − | 1.53789i | ||||||
\(935\) | 1.10245 | − | 2.02237i | 0.0360540 | − | 0.0661384i | ||||
\(936\) | −18.7289 | − | 5.02318i | −0.612175 | − | 0.164188i | ||||
\(937\) | 21.7268 | + | 15.7854i | 0.709782 | + | 0.515687i | 0.883103 | − | 0.469178i | \(-0.155450\pi\) |
−0.173321 | + | 0.984865i | \(0.555450\pi\) | |||||||
\(938\) | −0.658416 | + | 2.02640i | −0.0214980 | + | 0.0661642i | ||||
\(939\) | 18.9866 | − | 27.6186i | 0.619604 | − | 0.901300i | ||||
\(940\) | 0.186245 | + | 0.0473589i | 0.00607465 | + | 0.00154468i | ||||
\(941\) | −12.3620 | + | 8.98151i | −0.402989 | + | 0.292789i | −0.770757 | − | 0.637129i | \(-0.780122\pi\) |
0.367768 | + | 0.929917i | \(0.380122\pi\) | |||||||
\(942\) | 12.2799 | + | 8.44190i | 0.400101 | + | 0.275052i | ||||
\(943\) | −15.6117 | + | 48.0479i | −0.508387 | + | 1.56466i | ||||
\(944\) | 28.5860 | − | 39.3453i | 0.930396 | − | 1.28058i | ||||
\(945\) | −4.54838 | + | 8.63138i | −0.147959 | + | 0.280779i | ||||
\(946\) | 16.3680 | − | 1.05011i | 0.532170 | − | 0.0341421i | ||||
\(947\) | −0.270360 | −0.00878553 | −0.00439276 | − | 0.999990i | \(-0.501398\pi\) | ||||
−0.00439276 | + | 0.999990i | \(0.501398\pi\) | |||||||
\(948\) | 0.0219941 | + | 0.843754i | 0.000714337 | + | 0.0274039i | ||||
\(949\) | −12.1468 | + | 37.3841i | −0.394303 | + | 1.21354i | ||||
\(950\) | 44.4661 | − | 5.82733i | 1.44267 | − | 0.189063i | ||||
\(951\) | 5.71115 | − | 19.2721i | 0.185197 | − | 0.624941i | ||||
\(952\) | 0.560113 | − | 0.406946i | 0.0181534 | − | 0.0131892i | ||||
\(953\) | 34.7003 | − | 11.2748i | 1.12405 | − | 0.365227i | 0.312741 | − | 0.949839i | \(-0.398753\pi\) |
0.811314 | + | 0.584611i | \(0.198753\pi\) | |||||||
\(954\) | −18.2532 | + | 28.0929i | −0.590970 | + | 0.909540i | ||||
\(955\) | 11.0936 | − | 0.723820i | 0.358981 | − | 0.0234222i | ||||
\(956\) | 2.00841 | 0.0649566 | ||||||||
\(957\) | −13.6947 | − | 3.12040i | −0.442687 | − | 0.100868i | ||||
\(958\) | − | 12.8401i | − | 0.414844i | ||||||
\(959\) | 6.84554 | + | 4.97358i | 0.221054 | + | 0.160605i | ||||
\(960\) | −13.7785 | + | 23.1377i | −0.444699 | + | 0.746767i | ||||
\(961\) | −7.19970 | − | 22.1584i | −0.232248 | − | 0.714787i | ||||
\(962\) | −26.2320 | + | 19.0587i | −0.845755 | + | 0.614477i | ||||
\(963\) | 46.4864 | − | 17.8318i | 1.49800 | − | 0.574621i | ||||
\(964\) | −2.12298 | + | 0.689797i | −0.0683765 | + | 0.0222169i | ||||
\(965\) | 27.6426 | − | 11.0188i | 0.889847 | − | 0.354708i | ||||
\(966\) | −0.324294 | − | 12.4408i | −0.0104340 | − | 0.400276i | ||||
\(967\) | 26.8506 | 0.863457 | 0.431729 | − | 0.902004i | \(-0.357904\pi\) | ||||
0.431729 | + | 0.902004i | \(0.357904\pi\) | |||||||
\(968\) | 14.0047 | − | 25.6244i | 0.450129 | − | 0.823600i | ||||
\(969\) | 2.57102 | − | 1.97233i | 0.0825930 | − | 0.0633603i | ||||
\(970\) | 0.618498 | + | 9.47940i | 0.0198588 | + | 0.304365i | ||||
\(971\) | 23.6646 | + | 7.68908i | 0.759432 | + | 0.246754i | 0.663035 | − | 0.748589i | \(-0.269268\pi\) |
0.0963971 | + | 0.995343i | \(0.469268\pi\) | |||||||
\(972\) | 1.45528 | + | 3.05574i | 0.0466783 | + | 0.0980128i | ||||
\(973\) | −0.412479 | − | 0.567729i | −0.0132235 | − | 0.0182006i | ||||
\(974\) | 43.9827 | − | 31.9553i | 1.40930 | − | 1.02391i | ||||
\(975\) | −14.9205 | + | 14.8993i | −0.477838 | + | 0.477160i | ||||
\(976\) | −30.9466 | − | 10.0552i | −0.990577 | − | 0.321858i | ||||
\(977\) | 42.1021 | + | 30.5889i | 1.34696 | + | 0.978627i | 0.999157 | + | 0.0410613i | \(0.0130739\pi\) |
0.347808 | + | 0.937566i | \(0.386926\pi\) | |||||||
\(978\) | 30.7898 | − | 23.6201i | 0.984551 | − | 0.755286i | ||||
\(979\) | −42.6539 | + | 35.3753i | −1.36322 | + | 1.13060i | ||||
\(980\) | 1.95353 | + | 2.35028i | 0.0624032 | + | 0.0750769i | ||||
\(981\) | −32.8908 | − | 40.6365i | −1.05012 | − | 1.29742i | ||||
\(982\) | 53.0630 | + | 17.2412i | 1.69331 | + | 0.550190i | ||||
\(983\) | −11.4114 | − | 35.1206i | −0.363966 | − | 1.12017i | −0.950626 | − | 0.310339i | \(-0.899557\pi\) |
0.586660 | − | 0.809833i | \(-0.300443\pi\) | |||||||
\(984\) | −38.7572 | − | 11.4854i | −1.23553 | − | 0.366141i | ||||
\(985\) | −0.0487759 | + | 0.191818i | −0.00155413 | + | 0.00611182i | ||||
\(986\) | 0.349414 | + | 1.07538i | 0.0111276 | + | 0.0342472i | ||||
\(987\) | 0.192105 | + | 0.542694i | 0.00611478 | + | 0.0172741i | ||||
\(988\) | 1.87172 | − | 2.57621i | 0.0595475 | − | 0.0819601i | ||||
\(989\) | 19.0859 | 0.606895 | ||||||||
\(990\) | 29.1438 | − | 15.7516i | 0.926251 | − | 0.500619i | ||||
\(991\) | −45.1756 | −1.43505 | −0.717525 | − | 0.696533i | \(-0.754725\pi\) | ||||
−0.717525 | + | 0.696533i | \(0.754725\pi\) | |||||||
\(992\) | 1.99489 | − | 2.74573i | 0.0633379 | − | 0.0871771i | ||||
\(993\) | −2.36355 | − | 6.67697i | −0.0750049 | − | 0.211887i | ||||
\(994\) | 0.256317 | + | 0.788862i | 0.00812987 | + | 0.0250212i | ||||
\(995\) | 55.8005 | + | 14.1891i | 1.76899 | + | 0.449824i | ||||
\(996\) | 0.159954 | + | 0.0474013i | 0.00506835 | + | 0.00150197i | ||||
\(997\) | −10.5742 | − | 32.5440i | −0.334888 | − | 1.03068i | −0.966777 | − | 0.255621i | \(-0.917720\pi\) |
0.631889 | − | 0.775059i | \(-0.282280\pi\) | |||||||
\(998\) | −3.06691 | − | 0.996500i | −0.0970814 | − | 0.0315437i | ||||
\(999\) | −45.1853 | − | 10.8651i | −1.42960 | − | 0.343755i |
(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 | 165.2.r.a.29.5 | ✓ | 80 | |
3.2 | odd | 2 | inner | 165.2.r.a.29.15 | yes | 80 | |
5.2 | odd | 4 | 825.2.bi.h.326.5 | 80 | |||
5.3 | odd | 4 | 825.2.bi.h.326.16 | 80 | |||
5.4 | even | 2 | inner | 165.2.r.a.29.16 | yes | 80 | |
11.8 | odd | 10 | inner | 165.2.r.a.74.6 | yes | 80 | |
15.2 | even | 4 | 825.2.bi.h.326.15 | 80 | |||
15.8 | even | 4 | 825.2.bi.h.326.6 | 80 | |||
15.14 | odd | 2 | inner | 165.2.r.a.29.6 | yes | 80 | |
33.8 | even | 10 | inner | 165.2.r.a.74.16 | yes | 80 | |
55.8 | even | 20 | 825.2.bi.h.701.6 | 80 | |||
55.19 | odd | 10 | inner | 165.2.r.a.74.15 | yes | 80 | |
55.52 | even | 20 | 825.2.bi.h.701.15 | 80 | |||
165.8 | odd | 20 | 825.2.bi.h.701.16 | 80 | |||
165.74 | even | 10 | inner | 165.2.r.a.74.5 | yes | 80 | |
165.107 | odd | 20 | 825.2.bi.h.701.5 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.r.a.29.5 | ✓ | 80 | 1.1 | even | 1 | trivial | |
165.2.r.a.29.6 | yes | 80 | 15.14 | odd | 2 | inner | |
165.2.r.a.29.15 | yes | 80 | 3.2 | odd | 2 | inner | |
165.2.r.a.29.16 | yes | 80 | 5.4 | even | 2 | inner | |
165.2.r.a.74.5 | yes | 80 | 165.74 | even | 10 | inner | |
165.2.r.a.74.6 | yes | 80 | 11.8 | odd | 10 | inner | |
165.2.r.a.74.15 | yes | 80 | 55.19 | odd | 10 | inner | |
165.2.r.a.74.16 | yes | 80 | 33.8 | even | 10 | inner | |
825.2.bi.h.326.5 | 80 | 5.2 | odd | 4 | |||
825.2.bi.h.326.6 | 80 | 15.8 | even | 4 | |||
825.2.bi.h.326.15 | 80 | 15.2 | even | 4 | |||
825.2.bi.h.326.16 | 80 | 5.3 | odd | 4 | |||
825.2.bi.h.701.5 | 80 | 165.107 | odd | 20 | |||
825.2.bi.h.701.6 | 80 | 55.8 | even | 20 | |||
825.2.bi.h.701.15 | 80 | 55.52 | even | 20 | |||
825.2.bi.h.701.16 | 80 | 165.8 | odd | 20 |