Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [123,2,Mod(11,123)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(123, base_ring=CyclotomicField(40))
chi = DirichletCharacter(H, H._module([20, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("123.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 123 = 3 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 123.o (of order \(40\), degree \(16\), 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: | \(0.982159944862\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{40})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{40}]$ |
Embedding invariants
Embedding label | 11.11 | ||
Character | \(\chi\) | \(=\) | 123.11 |
Dual form | 123.2.o.a.56.11 |
$q$-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 \(\left(\mathbb{Z}/123\mathbb{Z}\right)^\times\).
\(n\) | \(83\) | \(88\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{40}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.359723 | + | 2.27120i | 0.254362 | + | 1.60598i | 0.702277 | + | 0.711904i | \(0.252167\pi\) |
−0.447914 | + | 0.894077i | \(0.647833\pi\) | |||||||
\(3\) | −0.930619 | + | 1.46080i | −0.537293 | + | 0.843395i | ||||
\(4\) | −3.12684 | + | 1.01597i | −1.56342 | + | 0.507985i | ||||
\(5\) | −0.136866 | − | 0.0697367i | −0.0612083 | − | 0.0311872i | 0.423118 | − | 0.906074i | \(-0.360935\pi\) |
−0.484327 | + | 0.874887i | \(0.660935\pi\) | |||||||
\(6\) | −3.65254 | − | 1.58814i | −1.49114 | − | 0.648355i | ||||
\(7\) | 1.38834 | − | 0.333310i | 0.524742 | − | 0.125979i | 0.0375846 | − | 0.999293i | \(-0.488034\pi\) |
0.487158 | + | 0.873314i | \(0.338034\pi\) | |||||||
\(8\) | −1.34435 | − | 2.63844i | −0.475301 | − | 0.932830i | ||||
\(9\) | −1.26790 | − | 2.71890i | −0.422632 | − | 0.906301i | ||||
\(10\) | 0.109152 | − | 0.335936i | 0.0345169 | − | 0.106232i | ||||
\(11\) | 0.659760 | − | 0.772480i | 0.198925 | − | 0.232912i | −0.651973 | − | 0.758242i | \(-0.726058\pi\) |
0.850898 | + | 0.525331i | \(0.176058\pi\) | |||||||
\(12\) | 1.42576 | − | 5.51317i | 0.411581 | − | 1.59152i | ||||
\(13\) | 2.99551 | + | 4.88822i | 0.830804 | + | 1.35575i | 0.932588 | + | 0.360942i | \(0.117545\pi\) |
−0.101784 | + | 0.994806i | \(0.532455\pi\) | |||||||
\(14\) | 1.25643 | + | 3.03329i | 0.335795 | + | 0.810682i | ||||
\(15\) | 0.229242 | − | 0.135036i | 0.0591900 | − | 0.0348661i | ||||
\(16\) | 0.189146 | − | 0.137422i | 0.0472864 | − | 0.0343556i | ||||
\(17\) | −4.60624 | + | 0.362519i | −1.11718 | + | 0.0879238i | −0.623575 | − | 0.781764i | \(-0.714320\pi\) |
−0.493603 | + | 0.869687i | \(0.664320\pi\) | |||||||
\(18\) | 5.71908 | − | 3.85770i | 1.34800 | − | 0.909268i | ||||
\(19\) | 2.40069 | − | 3.91757i | 0.550756 | − | 0.898751i | −0.449230 | − | 0.893416i | \(-0.648302\pi\) |
0.999986 | − | 0.00533536i | \(-0.00169831\pi\) | |||||||
\(20\) | 0.498808 | + | 0.0790034i | 0.111537 | + | 0.0176657i | ||||
\(21\) | −0.805113 | + | 2.33827i | −0.175690 | + | 0.510253i | ||||
\(22\) | 1.99179 | + | 1.22057i | 0.424651 | + | 0.260226i | ||||
\(23\) | 5.59085 | + | 4.06199i | 1.16577 | + | 0.846983i | 0.990497 | − | 0.137536i | \(-0.0439183\pi\) |
0.175276 | + | 0.984519i | \(0.443918\pi\) | |||||||
\(24\) | 5.10533 | + | 0.491549i | 1.04212 | + | 0.100337i | ||||
\(25\) | −2.92506 | − | 4.02600i | −0.585011 | − | 0.805199i | ||||
\(26\) | −10.0246 | + | 8.56180i | −1.96598 | + | 1.67911i | ||||
\(27\) | 5.15171 | + | 0.678118i | 0.991448 | + | 0.130504i | ||||
\(28\) | −4.00247 | + | 2.45272i | −0.756396 | + | 0.463520i | ||||
\(29\) | −0.0606223 | − | 0.00477108i | −0.0112573 | − | 0.000885968i | 0.0728292 | − | 0.997344i | \(-0.476797\pi\) |
−0.0840865 | + | 0.996458i | \(0.526797\pi\) | |||||||
\(30\) | 0.389157 | + | 0.472078i | 0.0710501 | + | 0.0861893i | ||||
\(31\) | 4.62927 | + | 1.50414i | 0.831442 | + | 0.270152i | 0.693652 | − | 0.720310i | \(-0.256000\pi\) |
0.137789 | + | 0.990462i | \(0.456000\pi\) | |||||||
\(32\) | −3.80761 | − | 3.80761i | −0.673096 | − | 0.673096i | ||||
\(33\) | 0.514456 | + | 1.68267i | 0.0895553 | + | 0.292914i | ||||
\(34\) | −2.48032 | − | 10.3313i | −0.425372 | − | 1.77180i | ||||
\(35\) | −0.213260 | − | 0.0511992i | −0.0360475 | − | 0.00865425i | ||||
\(36\) | 6.72683 | + | 7.21342i | 1.12114 | + | 1.20224i | ||||
\(37\) | 0.402856 | + | 1.23986i | 0.0662291 | + | 0.203832i | 0.978695 | − | 0.205322i | \(-0.0658240\pi\) |
−0.912466 | + | 0.409154i | \(0.865824\pi\) | |||||||
\(38\) | 9.76116 | + | 4.04320i | 1.58347 | + | 0.655894i | ||||
\(39\) | −9.92841 | − | 0.173227i | −1.58982 | − | 0.0277385i | ||||
\(40\) | 0.454864i | 0.0719203i | ||||||||
\(41\) | 0.530223 | − | 6.38113i | 0.0828070 | − | 0.996566i | ||||
\(42\) | −5.60031 | − | 0.987442i | −0.864146 | − | 0.152366i | ||||
\(43\) | 8.28994 | − | 1.31300i | 1.26420 | − | 0.200230i | 0.511899 | − | 0.859046i | \(-0.328942\pi\) |
0.752305 | + | 0.658815i | \(0.228942\pi\) | |||||||
\(44\) | −1.27815 | + | 3.08572i | −0.192688 | + | 0.465189i | ||||
\(45\) | −0.0160757 | + | 0.460544i | −0.00239642 | + | 0.0686539i | ||||
\(46\) | −7.21443 | + | 14.1591i | −1.06371 | + | 2.08765i | ||||
\(47\) | 1.46050 | − | 6.08340i | 0.213035 | − | 0.887355i | −0.758730 | − | 0.651405i | \(-0.774180\pi\) |
0.971765 | − | 0.235950i | \(-0.0758202\pi\) | |||||||
\(48\) | 0.0247245 | + | 0.404192i | 0.00356867 | + | 0.0583402i | ||||
\(49\) | −4.42066 | + | 2.25244i | −0.631523 | + | 0.321777i | ||||
\(50\) | 8.09163 | − | 8.09163i | 1.14433 | − | 1.14433i | ||||
\(51\) | 3.75709 | − | 7.06618i | 0.526098 | − | 0.989464i | ||||
\(52\) | −14.3327 | − | 12.2413i | −1.98759 | − | 1.69757i | ||||
\(53\) | 0.764005 | − | 9.70760i | 0.104944 | − | 1.33344i | −0.688694 | − | 0.725052i | \(-0.741816\pi\) |
0.793638 | − | 0.608390i | \(-0.208184\pi\) | |||||||
\(54\) | 0.313046 | + | 11.9445i | 0.0426002 | + | 1.62544i | ||||
\(55\) | −0.144169 | + | 0.0597167i | −0.0194397 | + | 0.00805220i | ||||
\(56\) | −2.74584 | − | 3.21496i | −0.366928 | − | 0.429617i | ||||
\(57\) | 3.48867 | + | 7.15270i | 0.462086 | + | 0.947398i | ||||
\(58\) | −0.0109712 | − | 0.139402i | −0.00144058 | − | 0.0183043i | ||||
\(59\) | −0.765960 | + | 1.05425i | −0.0997196 | + | 0.137252i | −0.855961 | − | 0.517041i | \(-0.827034\pi\) |
0.756241 | + | 0.654293i | \(0.227034\pi\) | |||||||
\(60\) | −0.579609 | + | 0.655138i | −0.0748271 | + | 0.0845780i | ||||
\(61\) | −0.108673 | + | 0.686136i | −0.0139142 | + | 0.0878507i | −0.993668 | − | 0.112354i | \(-0.964161\pi\) |
0.979754 | + | 0.200205i | \(0.0641608\pi\) | |||||||
\(62\) | −1.75095 | + | 11.0551i | −0.222371 | + | 1.40400i | ||||
\(63\) | −2.66651 | − | 3.35215i | −0.335948 | − | 0.422332i | ||||
\(64\) | 7.55300 | − | 10.3958i | 0.944125 | − | 1.29948i | ||||
\(65\) | −0.0690944 | − | 0.877928i | −0.00857011 | − | 0.108894i | ||||
\(66\) | −3.63661 | + | 1.77373i | −0.447636 | + | 0.218331i | ||||
\(67\) | −6.60217 | − | 7.73015i | −0.806584 | − | 0.944388i | 0.192737 | − | 0.981251i | \(-0.438264\pi\) |
−0.999320 | + | 0.0368623i | \(0.988264\pi\) | |||||||
\(68\) | 14.0347 | − | 5.81334i | 1.70195 | − | 0.704971i | ||||
\(69\) | −11.1367 | + | 4.38697i | −1.34070 | + | 0.528129i | ||||
\(70\) | 0.0395692 | − | 0.502774i | 0.00472942 | − | 0.0600930i | ||||
\(71\) | −10.1283 | − | 8.65034i | −1.20200 | − | 1.02661i | −0.998873 | − | 0.0474551i | \(-0.984889\pi\) |
−0.203129 | − | 0.979152i | \(-0.565111\pi\) | |||||||
\(72\) | −5.46917 | + | 7.00044i | −0.644548 | + | 0.825010i | ||||
\(73\) | −9.51349 | + | 9.51349i | −1.11347 | + | 1.11347i | −0.120792 | + | 0.992678i | \(0.538543\pi\) |
−0.992678 | + | 0.120792i | \(0.961457\pi\) | |||||||
\(74\) | −2.67106 | + | 1.36097i | −0.310504 | + | 0.158210i | ||||
\(75\) | 8.60330 | − | 0.526265i | 0.993424 | − | 0.0607679i | ||||
\(76\) | −3.52642 | + | 14.6886i | −0.404509 | + | 1.68490i | ||||
\(77\) | 0.658495 | − | 1.29237i | 0.0750424 | − | 0.147279i | ||||
\(78\) | −3.17804 | − | 22.6117i | −0.359842 | − | 2.56027i | ||||
\(79\) | −0.107070 | + | 0.258490i | −0.0120463 | + | 0.0290824i | −0.929788 | − | 0.368095i | \(-0.880010\pi\) |
0.917742 | + | 0.397177i | \(0.130010\pi\) | |||||||
\(80\) | −0.0354710 | + | 0.00561805i | −0.00396578 | + | 0.000628117i | ||||
\(81\) | −5.78488 | + | 6.89457i | −0.642765 | + | 0.766064i | ||||
\(82\) | 14.6836 | − | 1.09120i | 1.62153 | − | 0.120502i | ||||
\(83\) | 5.23673i | 0.574806i | 0.957810 | + | 0.287403i | \(0.0927919\pi\) | ||||
−0.957810 | + | 0.287403i | \(0.907208\pi\) | |||||||
\(84\) | 0.141838 | − | 8.12937i | 0.0154758 | − | 0.886987i | ||||
\(85\) | 0.655719 | + | 0.271608i | 0.0711227 | + | 0.0294600i | ||||
\(86\) | 5.96416 | + | 18.3558i | 0.643132 | + | 1.97936i | ||||
\(87\) | 0.0633859 | − | 0.0841173i | 0.00679569 | − | 0.00901832i | ||||
\(88\) | −2.92510 | − | 0.702253i | −0.311816 | − | 0.0748605i | ||||
\(89\) | 3.19296 | + | 13.2996i | 0.338453 | + | 1.40976i | 0.839038 | + | 0.544072i | \(0.183118\pi\) |
−0.500585 | + | 0.865688i | \(0.666882\pi\) | |||||||
\(90\) | −1.05177 | + | 0.129157i | −0.110866 | + | 0.0136144i | ||||
\(91\) | 5.78807 | + | 5.78807i | 0.606754 | + | 0.606754i | ||||
\(92\) | −21.6085 | − | 7.02104i | −2.25284 | − | 0.731994i | ||||
\(93\) | −6.50534 | + | 5.36267i | −0.674573 | + | 0.556083i | ||||
\(94\) | 14.3420 | + | 1.12874i | 1.47926 | + | 0.116421i | ||||
\(95\) | −0.601771 | + | 0.368766i | −0.0617404 | + | 0.0378345i | ||||
\(96\) | 9.10560 | − | 2.01873i | 0.929336 | − | 0.206036i | ||||
\(97\) | −2.64133 | + | 2.25591i | −0.268186 | + | 0.229053i | −0.773363 | − | 0.633963i | \(-0.781427\pi\) |
0.505177 | + | 0.863016i | \(0.331427\pi\) | |||||||
\(98\) | −6.70595 | − | 9.22995i | −0.677403 | − | 0.932366i | ||||
\(99\) | −2.93681 | − | 0.814401i | −0.295160 | − | 0.0818504i | ||||
\(100\) | 13.2365 | + | 9.61685i | 1.32365 | + | 0.961685i | ||||
\(101\) | 6.21103 | + | 3.80613i | 0.618021 | + | 0.378724i | 0.795988 | − | 0.605313i | \(-0.206952\pi\) |
−0.177967 | + | 0.984037i | \(0.556952\pi\) | |||||||
\(102\) | 17.4002 | + | 5.99123i | 1.72288 | + | 0.593220i | ||||
\(103\) | 7.47841 | + | 1.18446i | 0.736870 | + | 0.116709i | 0.513578 | − | 0.858043i | \(-0.328320\pi\) |
0.223292 | + | 0.974752i | \(0.428320\pi\) | |||||||
\(104\) | 8.87027 | − | 14.4750i | 0.869802 | − | 1.41939i | ||||
\(105\) | 0.273256 | − | 0.263884i | 0.0266671 | − | 0.0257525i | ||||
\(106\) | 22.3227 | − | 1.75684i | 2.16818 | − | 0.170639i | ||||
\(107\) | 1.28608 | − | 0.934390i | 0.124330 | − | 0.0903309i | −0.523883 | − | 0.851791i | \(-0.675517\pi\) |
0.648212 | + | 0.761460i | \(0.275517\pi\) | |||||||
\(108\) | −16.7975 | + | 3.11362i | −1.61634 | + | 0.299609i | ||||
\(109\) | −6.98770 | − | 16.8698i | −0.669301 | − | 1.61583i | −0.782783 | − | 0.622295i | \(-0.786201\pi\) |
0.113482 | − | 0.993540i | \(-0.463799\pi\) | |||||||
\(110\) | −0.187490 | − | 0.305955i | −0.0178764 | − | 0.0291717i | ||||
\(111\) | −2.18610 | − | 0.565347i | −0.207495 | − | 0.0536603i | ||||
\(112\) | 0.216794 | − | 0.253833i | 0.0204851 | − | 0.0239849i | ||||
\(113\) | 3.50880 | − | 10.7990i | 0.330080 | − | 1.01588i | −0.639015 | − | 0.769194i | \(-0.720658\pi\) |
0.969095 | − | 0.246688i | \(-0.0793422\pi\) | |||||||
\(114\) | −14.9903 | + | 10.4965i | −1.40397 | + | 0.983083i | ||||
\(115\) | −0.481927 | − | 0.945835i | −0.0449399 | − | 0.0881996i | ||||
\(116\) | 0.194403 | − | 0.0466721i | 0.0180499 | − | 0.00433340i | ||||
\(117\) | 9.49262 | − | 14.3422i | 0.877593 | − | 1.32594i | ||||
\(118\) | −2.66996 | − | 1.36041i | −0.245789 | − | 0.125236i | ||||
\(119\) | −6.27419 | + | 2.03861i | −0.575154 | + | 0.186879i | ||||
\(120\) | −0.664467 | − | 0.423305i | −0.0606572 | − | 0.0386423i | ||||
\(121\) | 1.55934 | + | 9.84527i | 0.141758 | + | 0.895024i | ||||
\(122\) | −1.59744 | −0.144626 | ||||||||
\(123\) | 8.82815 | + | 6.71296i | 0.796007 | + | 0.605287i | ||||
\(124\) | −16.0031 | −1.43712 | ||||||||
\(125\) | 0.239729 | + | 1.51359i | 0.0214420 | + | 0.135380i | ||||
\(126\) | 6.65421 | − | 7.26202i | 0.592804 | − | 0.646952i | ||||
\(127\) | −17.7673 | + | 5.77293i | −1.57659 | + | 0.512265i | −0.961175 | − | 0.275940i | \(-0.911011\pi\) |
−0.615414 | + | 0.788204i | \(0.711011\pi\) | |||||||
\(128\) | 16.7322 | + | 8.52549i | 1.47893 | + | 0.753554i | ||||
\(129\) | −5.79675 | + | 13.3319i | −0.510375 | + | 1.17381i | ||||
\(130\) | 1.96909 | − | 0.472738i | 0.172701 | − | 0.0414618i | ||||
\(131\) | 3.68475 | + | 7.23172i | 0.321938 | + | 0.631839i | 0.994088 | − | 0.108576i | \(-0.0346291\pi\) |
−0.672150 | + | 0.740415i | \(0.734629\pi\) | |||||||
\(132\) | −3.31816 | − | 4.73875i | −0.288809 | − | 0.412455i | ||||
\(133\) | 2.02720 | − | 6.23908i | 0.175781 | − | 0.540997i | ||||
\(134\) | 15.1818 | − | 17.7756i | 1.31150 | − | 1.53557i | ||||
\(135\) | −0.657805 | − | 0.452075i | −0.0566148 | − | 0.0389084i | ||||
\(136\) | 7.14890 | + | 11.6660i | 0.613013 | + | 1.00035i | ||||
\(137\) | −2.50059 | − | 6.03695i | −0.213640 | − | 0.515772i | 0.780338 | − | 0.625358i | \(-0.215047\pi\) |
−0.993977 | + | 0.109587i | \(0.965047\pi\) | |||||||
\(138\) | −13.9698 | − | 23.7156i | −1.18919 | − | 2.01881i | ||||
\(139\) | −1.92384 | + | 1.39775i | −0.163178 | + | 0.118556i | −0.666378 | − | 0.745614i | \(-0.732156\pi\) |
0.503199 | + | 0.864170i | \(0.332156\pi\) | |||||||
\(140\) | 0.718846 | − | 0.0565744i | 0.0607536 | − | 0.00478141i | ||||
\(141\) | 7.52749 | + | 7.79483i | 0.633929 | + | 0.656443i | ||||
\(142\) | 16.0033 | − | 26.1150i | 1.34297 | − | 2.19152i | ||||
\(143\) | 5.75237 | + | 0.911086i | 0.481037 | + | 0.0761888i | ||||
\(144\) | −0.613455 | − | 0.340032i | −0.0511212 | − | 0.0283360i | ||||
\(145\) | 0.00796442 | + | 0.00488060i | 0.000661409 | + | 0.000405312i | ||||
\(146\) | −25.0293 | − | 18.1848i | −2.07144 | − | 1.50499i | ||||
\(147\) | 0.823580 | − | 8.55388i | 0.0679278 | − | 0.705512i | ||||
\(148\) | −2.51933 | − | 3.46756i | −0.207087 | − | 0.285031i | ||||
\(149\) | 3.55379 | − | 3.03523i | 0.291138 | − | 0.248655i | −0.491868 | − | 0.870670i | \(-0.663686\pi\) |
0.783006 | + | 0.622015i | \(0.213686\pi\) | |||||||
\(150\) | 4.29006 | + | 19.3505i | 0.350282 | + | 1.57996i | ||||
\(151\) | −2.12466 | + | 1.30199i | −0.172902 | + | 0.105954i | −0.606257 | − | 0.795269i | \(-0.707330\pi\) |
0.433355 | + | 0.901223i | \(0.357330\pi\) | |||||||
\(152\) | −13.5636 | − | 1.06748i | −1.10016 | − | 0.0865842i | ||||
\(153\) | 6.82589 | + | 12.0643i | 0.551840 | + | 0.975341i | ||||
\(154\) | 3.17210 | + | 1.03068i | 0.255615 | + | 0.0830545i | ||||
\(155\) | −0.528696 | − | 0.528696i | −0.0424659 | − | 0.0424659i | ||||
\(156\) | 31.2205 | − | 9.54532i | 2.49964 | − | 0.764237i | ||||
\(157\) | −0.166685 | − | 0.694292i | −0.0133029 | − | 0.0554105i | 0.965324 | − | 0.261056i | \(-0.0840707\pi\) |
−0.978627 | + | 0.205645i | \(0.934071\pi\) | |||||||
\(158\) | −0.625597 | − | 0.150193i | −0.0497698 | − | 0.0119487i | ||||
\(159\) | 13.4699 | + | 10.1501i | 1.06823 | + | 0.804959i | ||||
\(160\) | 0.255602 | + | 0.786662i | 0.0202071 | + | 0.0621911i | ||||
\(161\) | 9.11589 | + | 3.77593i | 0.718433 | + | 0.297585i | ||||
\(162\) | −17.7399 | − | 10.6585i | −1.39378 | − | 0.837410i | ||||
\(163\) | − | 15.2628i | − | 1.19547i | −0.801693 | − | 0.597736i | \(-0.796067\pi\) | ||
0.801693 | − | 0.597736i | \(-0.203933\pi\) | |||||||
\(164\) | 4.82512 | + | 20.4914i | 0.376779 | + | 1.60011i | ||||
\(165\) | 0.0469320 | − | 0.266176i | 0.00365365 | − | 0.0207218i | ||||
\(166\) | −11.8937 | + | 1.88377i | −0.923128 | + | 0.146209i | ||||
\(167\) | −2.06535 | + | 4.98621i | −0.159822 | + | 0.385844i | −0.983423 | − | 0.181325i | \(-0.941961\pi\) |
0.823601 | + | 0.567169i | \(0.191961\pi\) | |||||||
\(168\) | 7.25176 | − | 1.01922i | 0.559485 | − | 0.0786348i | ||||
\(169\) | −9.01977 | + | 17.7023i | −0.693829 | + | 1.36172i | ||||
\(170\) | −0.380998 | + | 1.58697i | −0.0292212 | + | 0.121715i | ||||
\(171\) | −13.6953 | − | 1.56018i | −1.04731 | − | 0.119310i | ||||
\(172\) | −24.5873 | + | 12.5279i | −1.87476 | + | 0.955240i | ||||
\(173\) | −13.9898 | + | 13.9898i | −1.06363 | + | 1.06363i | −0.0657952 | + | 0.997833i | \(0.520958\pi\) |
−0.997833 | + | 0.0657952i | \(0.979042\pi\) | |||||||
\(174\) | 0.213849 | + | 0.113703i | 0.0162118 | + | 0.00861982i | ||||
\(175\) | −5.40287 | − | 4.61449i | −0.408419 | − | 0.348823i | ||||
\(176\) | 0.0186348 | − | 0.236777i | 0.00140465 | − | 0.0178477i | ||||
\(177\) | −0.827241 | − | 2.10003i | −0.0621792 | − | 0.157848i | ||||
\(178\) | −29.0576 | + | 12.0360i | −2.17796 | + | 0.902140i | ||||
\(179\) | 7.68622 | + | 8.99941i | 0.574495 | + | 0.672648i | 0.969233 | − | 0.246146i | \(-0.0791644\pi\) |
−0.394737 | + | 0.918794i | \(0.629164\pi\) | |||||||
\(180\) | −0.417633 | − | 1.45638i | −0.0311286 | − | 0.108552i | ||||
\(181\) | −1.22551 | − | 15.5716i | −0.0910914 | − | 1.15743i | −0.857294 | − | 0.514827i | \(-0.827856\pi\) |
0.766203 | − | 0.642599i | \(-0.222144\pi\) | |||||||
\(182\) | −11.0638 | + | 15.2280i | −0.820101 | + | 1.12877i | ||||
\(183\) | −0.901176 | − | 0.797281i | −0.0666169 | − | 0.0589367i | ||||
\(184\) | 3.20125 | − | 20.2119i | 0.235999 | − | 1.49004i | ||||
\(185\) | 0.0313267 | − | 0.197789i | 0.00230318 | − | 0.0145417i | ||||
\(186\) | −14.5198 | − | 12.8459i | −1.06465 | − | 0.941904i | ||||
\(187\) | −2.75898 | + | 3.79741i | −0.201756 | + | 0.277694i | ||||
\(188\) | 1.61383 | + | 20.5056i | 0.117700 | + | 1.49553i | ||||
\(189\) | 7.37834 | − | 0.775663i | 0.536695 | − | 0.0564211i | ||||
\(190\) | −1.05401 | − | 1.23409i | −0.0764660 | − | 0.0895302i | ||||
\(191\) | −19.7117 | + | 8.16486i | −1.42629 | + | 0.590788i | −0.956432 | − | 0.291954i | \(-0.905695\pi\) |
−0.469857 | + | 0.882743i | \(0.655695\pi\) | |||||||
\(192\) | 8.15727 | + | 20.7080i | 0.588700 | + | 1.49447i | ||||
\(193\) | −0.357572 | + | 4.54339i | −0.0257386 | + | 0.327040i | 0.970546 | + | 0.240917i | \(0.0774480\pi\) |
−0.996284 | + | 0.0861236i | \(0.972552\pi\) | |||||||
\(194\) | −6.07377 | − | 5.18749i | −0.436071 | − | 0.372440i | ||||
\(195\) | 1.34678 | + | 0.716083i | 0.0964450 | + | 0.0512798i | ||||
\(196\) | 11.5343 | − | 11.5343i | 0.823876 | − | 0.823876i | ||||
\(197\) | 3.92865 | − | 2.00175i | 0.279905 | − | 0.142619i | −0.308403 | − | 0.951256i | \(-0.599794\pi\) |
0.588308 | + | 0.808637i | \(0.299794\pi\) | |||||||
\(198\) | 0.793232 | − | 6.96304i | 0.0563726 | − | 0.494841i | ||||
\(199\) | 3.36120 | − | 14.0004i | 0.238269 | − | 0.992461i | −0.717082 | − | 0.696988i | \(-0.754523\pi\) |
0.955351 | − | 0.295473i | \(-0.0954771\pi\) | |||||||
\(200\) | −6.69005 | + | 13.1300i | −0.473058 | + | 0.928428i | ||||
\(201\) | 17.4363 | − | 2.45065i | 1.22986 | − | 0.172856i | ||||
\(202\) | −6.41022 | + | 15.4757i | −0.451022 | + | 1.08886i | ||||
\(203\) | −0.0857545 | + | 0.0135822i | −0.00601879 | + | 0.000953283i | ||||
\(204\) | −4.56876 | + | 25.9119i | −0.319877 | + | 1.81419i | ||||
\(205\) | −0.517569 | + | 0.836384i | −0.0361486 | + | 0.0584156i | ||||
\(206\) | 17.4110i | 1.21308i | ||||||||
\(207\) | 3.95555 | − | 20.3512i | 0.274930 | − | 1.41450i | ||||
\(208\) | 1.23834 | + | 0.512936i | 0.0858632 | + | 0.0355657i | ||||
\(209\) | −1.44236 | − | 4.43914i | −0.0997704 | − | 0.307062i | ||||
\(210\) | 0.697630 | + | 0.525694i | 0.0481411 | + | 0.0362763i | ||||
\(211\) | −5.86913 | − | 1.40905i | −0.404047 | − | 0.0970032i | 0.0263276 | − | 0.999653i | \(-0.491619\pi\) |
−0.430375 | + | 0.902650i | \(0.641619\pi\) | |||||||
\(212\) | 7.47372 | + | 31.1303i | 0.513297 | + | 2.13804i | ||||
\(213\) | 22.0620 | − | 6.74521i | 1.51166 | − | 0.462174i | ||||
\(214\) | 2.58482 | + | 2.58482i | 0.176694 | + | 0.176694i | ||||
\(215\) | −1.22617 | − | 0.398408i | −0.0836244 | − | 0.0271712i | ||||
\(216\) | −5.13655 | − | 14.5041i | −0.349498 | − | 0.986881i | ||||
\(217\) | 6.92834 | + | 0.545272i | 0.470326 | + | 0.0370155i | ||||
\(218\) | 35.8011 | − | 21.9389i | 2.42475 | − | 1.48589i | ||||
\(219\) | −5.04391 | − | 22.7508i | −0.340836 | − | 1.53736i | ||||
\(220\) | 0.390122 | − | 0.333196i | 0.0263020 | − | 0.0224641i | ||||
\(221\) | −15.5701 | − | 21.4304i | −1.04736 | − | 1.44156i | ||||
\(222\) | 0.497625 | − | 5.16844i | 0.0333984 | − | 0.346883i | ||||
\(223\) | 10.6894 | + | 7.76633i | 0.715818 | + | 0.520072i | 0.885045 | − | 0.465505i | \(-0.154127\pi\) |
−0.169228 | + | 0.985577i | \(0.554127\pi\) | |||||||
\(224\) | −6.55536 | − | 4.01713i | −0.437998 | − | 0.268406i | ||||
\(225\) | −7.23763 | + | 13.0575i | −0.482509 | + | 0.870500i | ||||
\(226\) | 25.7888 | + | 4.08455i | 1.71545 | + | 0.271700i | ||||
\(227\) | 7.08180 | − | 11.5564i | 0.470035 | − | 0.767028i | −0.526502 | − | 0.850174i | \(-0.676497\pi\) |
0.996537 | + | 0.0831460i | \(0.0264968\pi\) | |||||||
\(228\) | −18.1754 | − | 18.8209i | −1.20370 | − | 1.24645i | ||||
\(229\) | −8.40652 | + | 0.661607i | −0.555518 | + | 0.0437202i | −0.353111 | − | 0.935581i | \(-0.614876\pi\) |
−0.202407 | + | 0.979302i | \(0.564876\pi\) | |||||||
\(230\) | 1.97482 | − | 1.43479i | 0.130216 | − | 0.0946074i | ||||
\(231\) | 1.27509 | + | 2.16463i | 0.0838947 | + | 0.142423i | ||||
\(232\) | 0.0689096 | + | 0.166363i | 0.00452414 | + | 0.0109222i | ||||
\(233\) | −7.68356 | − | 12.5384i | −0.503367 | − | 0.821420i | 0.495520 | − | 0.868597i | \(-0.334978\pi\) |
−0.998887 | + | 0.0471766i | \(0.984978\pi\) | |||||||
\(234\) | 35.9888 | + | 16.4004i | 2.35266 | + | 1.07213i | ||||
\(235\) | −0.624128 | + | 0.730761i | −0.0407137 | + | 0.0476696i | ||||
\(236\) | 1.32394 | − | 4.07467i | 0.0861812 | − | 0.265239i | ||||
\(237\) | −0.277961 | − | 0.396964i | −0.0180555 | − | 0.0257856i | ||||
\(238\) | −6.88705 | − | 13.5166i | −0.446421 | − | 0.876151i | ||||
\(239\) | 3.42059 | − | 0.821210i | 0.221259 | − | 0.0531196i | −0.121300 | − | 0.992616i | \(-0.538706\pi\) |
0.342559 | + | 0.939496i | \(0.388706\pi\) | |||||||
\(240\) | 0.0248031 | − | 0.0570444i | 0.00160103 | − | 0.00368220i | ||||
\(241\) | −5.77891 | − | 2.94450i | −0.372252 | − | 0.189672i | 0.257849 | − | 0.966185i | \(-0.416986\pi\) |
−0.630101 | + | 0.776513i | \(0.716986\pi\) | |||||||
\(242\) | −21.7996 | + | 7.08313i | −1.40133 | + | 0.455321i | ||||
\(243\) | −4.68810 | − | 14.8668i | −0.300741 | − | 0.953706i | ||||
\(244\) | −0.357290 | − | 2.25584i | −0.0228732 | − | 0.144415i | ||||
\(245\) | 0.762115 | 0.0486898 | ||||||||
\(246\) | −12.0708 | + | 22.4653i | −0.769605 | + | 1.43233i | ||||
\(247\) | 26.3412 | 1.67605 | ||||||||
\(248\) | −2.25479 | − | 14.2362i | −0.143179 | − | 0.903997i | ||||
\(249\) | −7.64984 | − | 4.87340i | −0.484789 | − | 0.308839i | ||||
\(250\) | −3.35143 | + | 1.08895i | −0.211963 | + | 0.0688710i | ||||
\(251\) | 26.7094 | + | 13.6091i | 1.68588 | + | 0.859000i | 0.990037 | + | 0.140809i | \(0.0449703\pi\) |
0.695846 | + | 0.718191i | \(0.255030\pi\) | |||||||
\(252\) | 11.7434 | + | 7.77255i | 0.739766 | + | 0.489624i | ||||
\(253\) | 6.82643 | − | 1.63888i | 0.429174 | − | 0.103036i | ||||
\(254\) | −19.5028 | − | 38.2763i | −1.22371 | − | 2.40167i | ||||
\(255\) | −1.00699 | + | 0.705113i | −0.0630602 | + | 0.0441559i | ||||
\(256\) | −5.40244 | + | 16.6270i | −0.337653 | + | 1.03919i | ||||
\(257\) | 9.09588 | − | 10.6499i | 0.567386 | − | 0.664323i | −0.400329 | − | 0.916371i | \(-0.631104\pi\) |
0.967715 | + | 0.252048i | \(0.0811042\pi\) | |||||||
\(258\) | −32.3646 | − | 8.36979i | −2.01493 | − | 0.521080i | ||||
\(259\) | 0.972559 | + | 1.58707i | 0.0604319 | + | 0.0986158i | ||||
\(260\) | 1.10800 | + | 2.67494i | 0.0687150 | + | 0.165893i | ||||
\(261\) | 0.0638907 | + | 0.170876i | 0.00395473 | + | 0.0105769i | ||||
\(262\) | −15.0992 | + | 10.9702i | −0.932832 | + | 0.677742i | ||||
\(263\) | 0.0591252 | − | 0.00465325i | 0.00364581 | − | 0.000286932i | −0.0766361 | − | 0.997059i | \(-0.524418\pi\) |
0.0802819 | + | 0.996772i | \(0.474418\pi\) | |||||||
\(264\) | 3.74801 | − | 3.61946i | 0.230674 | − | 0.222762i | ||||
\(265\) | −0.781542 | + | 1.27536i | −0.0480098 | + | 0.0783448i | ||||
\(266\) | 14.8994 | + | 2.35984i | 0.913543 | + | 0.144691i | ||||
\(267\) | −22.3996 | − | 7.71262i | −1.37083 | − | 0.472005i | ||||
\(268\) | 28.4975 | + | 17.4633i | 1.74076 | + | 1.06674i | ||||
\(269\) | −14.3828 | − | 10.4497i | −0.876935 | − | 0.637130i | 0.0555040 | − | 0.998458i | \(-0.482323\pi\) |
−0.932439 | + | 0.361328i | \(0.882323\pi\) | |||||||
\(270\) | 0.790125 | − | 1.65663i | 0.0480855 | − | 0.100819i | ||||
\(271\) | −9.45784 | − | 13.0176i | −0.574523 | − | 0.790763i | 0.418559 | − | 0.908190i | \(-0.362535\pi\) |
−0.993082 | + | 0.117427i | \(0.962535\pi\) | |||||||
\(272\) | −0.821432 | + | 0.701569i | −0.0498066 | + | 0.0425389i | ||||
\(273\) | −13.8417 | + | 3.06874i | −0.837739 | + | 0.185729i | ||||
\(274\) | 12.8116 | − | 7.85096i | 0.773977 | − | 0.474294i | ||||
\(275\) | −5.03984 | − | 0.396644i | −0.303914 | − | 0.0239185i | ||||
\(276\) | 30.3657 | − | 25.0319i | 1.82780 | − | 1.50674i | ||||
\(277\) | 20.7548 | + | 6.74363i | 1.24703 | + | 0.405185i | 0.856857 | − | 0.515555i | \(-0.172414\pi\) |
0.390176 | + | 0.920740i | \(0.372414\pi\) | |||||||
\(278\) | −3.86663 | − | 3.86663i | −0.231905 | − | 0.231905i | ||||
\(279\) | −1.77982 | − | 14.4936i | −0.106555 | − | 0.867712i | ||||
\(280\) | 0.151611 | + | 0.631505i | 0.00906048 | + | 0.0377396i | ||||
\(281\) | −0.861258 | − | 0.206770i | −0.0513784 | − | 0.0123349i | 0.207675 | − | 0.978198i | \(-0.433410\pi\) |
−0.259053 | + | 0.965863i | \(0.583410\pi\) | |||||||
\(282\) | −14.9958 | + | 19.9004i | −0.892987 | + | 1.18505i | ||||
\(283\) | 9.22292 | + | 28.3852i | 0.548246 | + | 1.68733i | 0.713146 | + | 0.701016i | \(0.247270\pi\) |
−0.164900 | + | 0.986310i | \(0.552730\pi\) | |||||||
\(284\) | 40.4579 | + | 16.7582i | 2.40073 | + | 0.994416i | ||||
\(285\) | 0.0213253 | − | 1.22225i | 0.00126320 | − | 0.0723998i | ||||
\(286\) | 13.3925i | 0.791916i | ||||||||
\(287\) | −1.39077 | − | 9.03590i | −0.0820945 | − | 0.533372i | ||||
\(288\) | −5.52487 | + | 15.1802i | −0.325556 | + | 0.894500i | ||||
\(289\) | 4.29535 | − | 0.680316i | 0.252667 | − | 0.0400186i | ||||
\(290\) | −0.00821984 | + | 0.0198444i | −0.000482686 | + | 0.00116531i | ||||
\(291\) | −0.837368 | − | 5.95786i | −0.0490874 | − | 0.349256i | ||||
\(292\) | 20.0817 | − | 39.4125i | 1.17519 | − | 2.30644i | ||||
\(293\) | −2.66453 | + | 11.0986i | −0.155663 | + | 0.648385i | 0.838903 | + | 0.544281i | \(0.183197\pi\) |
−0.994566 | + | 0.104104i | \(0.966803\pi\) | |||||||
\(294\) | 19.7238 | − | 1.20651i | 1.15032 | − | 0.0703650i | ||||
\(295\) | 0.178354 | − | 0.0908760i | 0.0103842 | − | 0.00529100i | ||||
\(296\) | 2.72972 | − | 2.72972i | 0.158662 | − | 0.158662i | ||||
\(297\) | 3.92273 | − | 3.53220i | 0.227620 | − | 0.204959i | ||||
\(298\) | 8.17198 | + | 6.97953i | 0.473390 | + | 0.404313i | ||||
\(299\) | −3.10848 | + | 39.4970i | −0.179768 | + | 2.28417i | ||||
\(300\) | −26.3664 | + | 10.3862i | −1.52227 | + | 0.599650i | ||||
\(301\) | 11.0716 | − | 4.58601i | 0.638156 | − | 0.264333i | ||||
\(302\) | −3.72137 | − | 4.35716i | −0.214141 | − | 0.250726i | ||||
\(303\) | −11.3401 | + | 5.53105i | −0.651472 | + | 0.317750i | ||||
\(304\) | −0.0842815 | − | 1.07090i | −0.00483388 | − | 0.0614202i | ||||
\(305\) | 0.0627225 | − | 0.0863301i | 0.00359148 | − | 0.00494325i | ||||
\(306\) | −24.9450 | + | 19.8428i | −1.42601 | + | 1.13433i | ||||
\(307\) | −1.28162 | + | 8.09183i | −0.0731459 | + | 0.461825i | 0.923743 | + | 0.383012i | \(0.125113\pi\) |
−0.996889 | + | 0.0788135i | \(0.974887\pi\) | |||||||
\(308\) | −0.745996 | + | 4.71004i | −0.0425071 | + | 0.268379i | ||||
\(309\) | −8.68982 | + | 9.82221i | −0.494347 | + | 0.558766i | ||||
\(310\) | 1.01059 | − | 1.39096i | 0.0573977 | − | 0.0790011i | ||||
\(311\) | −0.252708 | − | 3.21096i | −0.0143298 | − | 0.182077i | −0.999917 | − | 0.0129072i | \(-0.995891\pi\) |
0.985587 | − | 0.169170i | \(-0.0541086\pi\) | |||||||
\(312\) | 12.8902 | + | 26.4284i | 0.729766 | + | 1.49621i | ||||
\(313\) | 1.85807 | + | 2.17552i | 0.105024 | + | 0.122968i | 0.810428 | − | 0.585838i | \(-0.199234\pi\) |
−0.705404 | + | 0.708805i | \(0.749234\pi\) | |||||||
\(314\) | 1.51691 | − | 0.628327i | 0.0856045 | − | 0.0354585i | ||||
\(315\) | 0.131186 | + | 0.644749i | 0.00739148 | + | 0.0363275i | ||||
\(316\) | 0.0721722 | − | 0.917035i | 0.00406000 | − | 0.0515872i | ||||
\(317\) | 11.6298 | + | 9.93279i | 0.653195 | + | 0.557881i | 0.913091 | − | 0.407756i | \(-0.133688\pi\) |
−0.259896 | + | 0.965636i | \(0.583688\pi\) | |||||||
\(318\) | −18.2076 | + | 34.2441i | −1.02103 | + | 1.92031i | ||||
\(319\) | −0.0436818 | + | 0.0436818i | −0.00244571 | + | 0.00244571i | ||||
\(320\) | −1.75872 | + | 0.896111i | −0.0983153 | + | 0.0500941i | ||||
\(321\) | 0.168112 | + | 2.74827i | 0.00938309 | + | 0.153393i | ||||
\(322\) | −5.29669 | + | 22.0623i | −0.295173 | + | 1.22948i | ||||
\(323\) | −9.63796 | + | 18.9156i | −0.536270 | + | 1.05249i | ||||
\(324\) | 11.0837 | − | 27.4355i | 0.615761 | − | 1.52419i | ||||
\(325\) | 10.9179 | − | 26.3582i | 0.605618 | − | 1.46209i | ||||
\(326\) | 34.6648 | − | 5.49036i | 1.91991 | − | 0.304083i | ||||
\(327\) | 31.1464 | + | 5.49171i | 1.72240 | + | 0.303692i | ||||
\(328\) | −17.5491 | + | 7.17954i | −0.968985 | + | 0.396424i | ||||
\(329\) | − | 8.93262i | − | 0.492471i | ||||||
\(330\) | 0.621422 | + | 0.0108423i | 0.0342081 | + | 0.000596849i | ||||
\(331\) | −7.30813 | − | 3.02713i | −0.401691 | − | 0.166386i | 0.172686 | − | 0.984977i | \(-0.444756\pi\) |
−0.574377 | + | 0.818591i | \(0.694756\pi\) | |||||||
\(332\) | −5.32037 | − | 16.3744i | −0.291993 | − | 0.898662i | ||||
\(333\) | 2.86029 | − | 2.66734i | 0.156743 | − | 0.146169i | ||||
\(334\) | −12.0676 | − | 2.89718i | −0.660311 | − | 0.158527i | ||||
\(335\) | 0.364538 | + | 1.51841i | 0.0199168 | + | 0.0829595i | ||||
\(336\) | 0.169048 | + | 0.552915i | 0.00922230 | + | 0.0301640i | ||||
\(337\) | −3.87017 | − | 3.87017i | −0.210822 | − | 0.210822i | 0.593795 | − | 0.804617i | \(-0.297629\pi\) |
−0.804617 | + | 0.593795i | \(0.797629\pi\) | |||||||
\(338\) | −43.4501 | − | 14.1178i | −2.36337 | − | 0.767907i | ||||
\(339\) | 12.5098 | + | 15.1754i | 0.679440 | + | 0.824215i | ||||
\(340\) | −2.32627 | − | 0.183081i | −0.126160 | − | 0.00992898i | ||||
\(341\) | 4.21613 | − | 2.58365i | 0.228316 | − | 0.139912i | ||||
\(342\) | −1.38304 | − | 31.6660i | −0.0747864 | − | 1.71230i | ||||
\(343\) | −12.9865 | + | 11.0915i | −0.701205 | + | 0.598886i | ||||
\(344\) | −14.6089 | − | 20.1074i | −0.787658 | − | 1.08412i | ||||
\(345\) | 1.83017 | + | 0.176212i | 0.0985331 | + | 0.00948691i | ||||
\(346\) | −36.8062 | − | 26.7413i | −1.97871 | − | 1.43762i | ||||
\(347\) | 18.2550 | + | 11.1867i | 0.979980 | + | 0.600533i | 0.917594 | − | 0.397519i | \(-0.130129\pi\) |
0.0623866 | + | 0.998052i | \(0.480129\pi\) | |||||||
\(348\) | −0.112737 | + | 0.327419i | −0.00604332 | + | 0.0175515i | ||||
\(349\) | 0.910952 | + | 0.144281i | 0.0487621 | + | 0.00772317i | 0.180768 | − | 0.983526i | \(-0.442142\pi\) |
−0.132006 | + | 0.991249i | \(0.542142\pi\) | |||||||
\(350\) | 8.53689 | − | 13.9309i | 0.456316 | − | 0.744640i | ||||
\(351\) | 12.1172 | + | 27.2140i | 0.646768 | + | 1.45258i | ||||
\(352\) | −5.45341 | + | 0.429193i | −0.290668 | + | 0.0228760i | ||||
\(353\) | −16.7256 | + | 12.1519i | −0.890214 | + | 0.646778i | −0.935934 | − | 0.352176i | \(-0.885442\pi\) |
0.0457198 | + | 0.998954i | \(0.485442\pi\) | |||||||
\(354\) | 4.47200 | − | 2.63426i | 0.237684 | − | 0.140009i | ||||
\(355\) | 0.782967 | + | 1.89025i | 0.0415556 | + | 0.100324i | ||||
\(356\) | −23.4959 | − | 38.3419i | −1.24528 | − | 2.03211i | ||||
\(357\) | 2.86088 | − | 11.0625i | 0.151414 | − | 0.585491i | ||||
\(358\) | −17.6746 | + | 20.6942i | −0.934129 | + | 1.09372i | ||||
\(359\) | 0.183381 | − | 0.564388i | 0.00967846 | − | 0.0297872i | −0.946101 | − | 0.323873i | \(-0.895015\pi\) |
0.955779 | + | 0.294085i | \(0.0950150\pi\) | |||||||
\(360\) | 1.23673 | − | 0.576720i | 0.0651815 | − | 0.0303958i | ||||
\(361\) | −0.958206 | − | 1.88058i | −0.0504319 | − | 0.0989782i | ||||
\(362\) | 34.9253 | − | 8.38483i | 1.83563 | − | 0.440697i | ||||
\(363\) | −15.8332 | − | 6.88431i | −0.831025 | − | 0.361333i | ||||
\(364\) | −23.9788 | − | 12.2178i | −1.25683 | − | 0.640388i | ||||
\(365\) | 1.96551 | − | 0.638634i | 0.102880 | − | 0.0334276i | ||||
\(366\) | 1.48661 | − | 2.33355i | 0.0777064 | − | 0.121977i | ||||
\(367\) | 3.29997 | + | 20.8352i | 0.172257 | + | 1.08759i | 0.910638 | + | 0.413204i | \(0.135591\pi\) |
−0.738381 | + | 0.674383i | \(0.764409\pi\) | |||||||
\(368\) | 1.61569 | 0.0842238 | ||||||||
\(369\) | −18.0220 | + | 6.64898i | −0.938186 | + | 0.346132i | ||||
\(370\) | 0.460487 | 0.0239396 | ||||||||
\(371\) | −2.17495 | − | 13.7321i | −0.112918 | − | 0.712934i | ||||
\(372\) | 14.8928 | − | 23.3774i | 0.772157 | − | 1.21206i | ||||
\(373\) | 20.7290 | − | 6.73527i | 1.07331 | − | 0.348739i | 0.281533 | − | 0.959551i | \(-0.409157\pi\) |
0.791775 | + | 0.610812i | \(0.209157\pi\) | |||||||
\(374\) | −9.61714 | − | 4.90018i | −0.497290 | − | 0.253382i | ||||
\(375\) | −2.43416 | − | 1.05838i | −0.125699 | − | 0.0546545i | ||||
\(376\) | −18.0141 | + | 4.32481i | −0.929008 | + | 0.223035i | ||||
\(377\) | −0.158272 | − | 0.310627i | −0.00815145 | − | 0.0159981i | ||||
\(378\) | 4.41584 | + | 16.4787i | 0.227126 | + | 0.847571i | ||||
\(379\) | 6.23706 | − | 19.1957i | 0.320376 | − | 0.986016i | −0.653109 | − | 0.757264i | \(-0.726536\pi\) |
0.973485 | − | 0.228752i | \(-0.0734645\pi\) | |||||||
\(380\) | 1.50698 | − | 1.76445i | 0.0773066 | − | 0.0905144i | ||||
\(381\) | 8.10143 | − | 31.3269i | 0.415049 | − | 1.60492i | ||||
\(382\) | −25.6348 | − | 41.8322i | −1.31159 | − | 2.14032i | ||||
\(383\) | 11.0657 | + | 26.7149i | 0.565430 | + | 1.36507i | 0.905371 | + | 0.424622i | \(0.139593\pi\) |
−0.339941 | + | 0.940447i | \(0.610407\pi\) | |||||||
\(384\) | −28.0254 | + | 16.5085i | −1.43016 | + | 0.842446i | ||||
\(385\) | −0.180251 | + | 0.130960i | −0.00918644 | + | 0.00667434i | ||||
\(386\) | −10.4476 | + | 0.822241i | −0.531767 | + | 0.0418510i | ||||
\(387\) | −14.0807 | − | 20.8748i | −0.715762 | − | 1.06113i | ||||
\(388\) | 5.96707 | − | 9.73737i | 0.302932 | − | 0.494340i | ||||
\(389\) | −26.7739 | − | 4.24058i | −1.35749 | − | 0.215006i | −0.565103 | − | 0.825021i | \(-0.691163\pi\) |
−0.792390 | + | 0.610015i | \(0.791163\pi\) | |||||||
\(390\) | −1.14190 | + | 3.31640i | −0.0578224 | + | 0.167932i | ||||
\(391\) | −27.2254 | − | 16.6837i | −1.37685 | − | 0.843732i | ||||
\(392\) | 11.8859 | + | 8.63558i | 0.600327 | + | 0.436163i | ||||
\(393\) | −13.9932 | − | 1.34729i | −0.705865 | − | 0.0679617i | ||||
\(394\) | 5.95959 | + | 8.20268i | 0.300240 | + | 0.413245i | ||||
\(395\) | 0.0326804 | − | 0.0279117i | 0.00164433 | − | 0.00140439i | ||||
\(396\) | 10.0103 | − | 0.437210i | 0.503038 | − | 0.0219706i | ||||
\(397\) | −13.1491 | + | 8.05778i | −0.659934 | + | 0.404408i | −0.811754 | − | 0.584000i | \(-0.801487\pi\) |
0.151819 | + | 0.988408i | \(0.451487\pi\) | |||||||
\(398\) | 33.0068 | + | 2.59769i | 1.65448 | + | 0.130210i | ||||
\(399\) | 7.22752 | + | 8.76755i | 0.361829 | + | 0.438926i | ||||
\(400\) | −1.10652 | − | 0.359531i | −0.0553262 | − | 0.0179766i | ||||
\(401\) | 11.7123 | + | 11.7123i | 0.584885 | + | 0.584885i | 0.936242 | − | 0.351357i | \(-0.114279\pi\) |
−0.351357 | + | 0.936242i | \(0.614279\pi\) | |||||||
\(402\) | 11.8382 | + | 38.7199i | 0.590434 | + | 1.93117i | ||||
\(403\) | 6.51443 | + | 27.1346i | 0.324507 | + | 1.35167i | ||||
\(404\) | −23.2878 | − | 5.59090i | −1.15861 | − | 0.278158i | ||||
\(405\) | 1.27256 | − | 0.540214i | 0.0632339 | − | 0.0268434i | ||||
\(406\) | −0.0616957 | − | 0.189880i | −0.00306191 | − | 0.00942358i | ||||
\(407\) | 1.22356 | + | 0.506814i | 0.0606495 | + | 0.0251218i | ||||
\(408\) | −23.6946 | − | 0.413413i | −1.17306 | − | 0.0204670i | ||||
\(409\) | − | 30.3236i | − | 1.49941i | −0.661775 | − | 0.749703i | \(-0.730196\pi\) | ||
0.661775 | − | 0.749703i | \(-0.269804\pi\) | |||||||
\(410\) | −2.08578 | − | 0.874636i | −0.103009 | − | 0.0431952i | ||||
\(411\) | 11.1459 | + | 1.96524i | 0.549786 | + | 0.0969379i | ||||
\(412\) | −24.5871 | + | 3.89422i | −1.21132 | + | 0.191854i | ||||
\(413\) | −0.712018 | + | 1.71896i | −0.0350361 | + | 0.0845847i | ||||
\(414\) | 47.6445 | + | 1.66307i | 2.34160 | + | 0.0817353i | ||||
\(415\) | 0.365192 | − | 0.716730i | 0.0179266 | − | 0.0351829i | ||||
\(416\) | 7.20671 | − | 30.0181i | 0.353338 | − | 1.47176i | ||||
\(417\) | −0.251479 | − | 4.11113i | −0.0123150 | − | 0.201323i | ||||
\(418\) | 9.56332 | − | 4.87276i | 0.467757 | − | 0.238334i | ||||
\(419\) | 1.79352 | − | 1.79352i | 0.0876192 | − | 0.0876192i | −0.661939 | − | 0.749558i | \(-0.730266\pi\) |
0.749558 | + | 0.661939i | \(0.230266\pi\) | |||||||
\(420\) | −0.586328 | + | 1.10274i | −0.0286099 | + | 0.0538083i | ||||
\(421\) | 30.7922 | + | 26.2990i | 1.50072 | + | 1.28174i | 0.855580 | + | 0.517671i | \(0.173201\pi\) |
0.645139 | + | 0.764065i | \(0.276799\pi\) | |||||||
\(422\) | 1.08898 | − | 13.8368i | 0.0530108 | − | 0.673566i | ||||
\(423\) | −18.3919 | + | 3.74217i | −0.894247 | + | 0.181951i | ||||
\(424\) | −26.6400 | + | 11.0347i | −1.29375 | + | 0.535891i | ||||
\(425\) | 14.9330 | + | 17.4843i | 0.724358 | + | 0.848114i | ||||
\(426\) | 23.2559 | + | 47.6808i | 1.12675 | + | 2.31014i | ||||
\(427\) | 0.0778210 | + | 0.988810i | 0.00376602 | + | 0.0478519i | ||||
\(428\) | −3.07204 | + | 4.22830i | −0.148493 | + | 0.204383i | ||||
\(429\) | −6.68419 | + | 7.55521i | −0.322715 | + | 0.364769i | ||||
\(430\) | 0.463782 | − | 2.92820i | 0.0223656 | − | 0.141211i | ||||
\(431\) | −0.0815673 | + | 0.514996i | −0.00392896 | + | 0.0248065i | −0.989575 | − | 0.144019i | \(-0.953997\pi\) |
0.985646 | + | 0.168825i | \(0.0539974\pi\) | |||||||
\(432\) | 1.06761 | − | 0.579697i | 0.0513655 | − | 0.0278907i | ||||
\(433\) | −17.0921 | + | 23.5253i | −0.821395 | + | 1.13055i | 0.168070 | + | 0.985775i | \(0.446247\pi\) |
−0.989464 | + | 0.144778i | \(0.953753\pi\) | |||||||
\(434\) | 1.25386 | + | 15.9318i | 0.0601872 | + | 0.764750i | ||||
\(435\) | −0.0145414 | + | 0.00709247i | −0.000697209 | + | 0.000340058i | ||||
\(436\) | 38.9886 | + | 45.6498i | 1.86722 | + | 2.18623i | ||||
\(437\) | 29.3350 | − | 12.1510i | 1.40328 | − | 0.581259i | ||||
\(438\) | 49.8572 | − | 19.6397i | 2.38227 | − | 0.938421i | ||||
\(439\) | 1.32797 | − | 16.8735i | 0.0633805 | − | 0.805326i | −0.880289 | − | 0.474437i | \(-0.842652\pi\) |
0.943670 | − | 0.330889i | \(-0.107348\pi\) | |||||||
\(440\) | 0.351373 | + | 0.300101i | 0.0167511 | + | 0.0143068i | ||||
\(441\) | 11.7291 | + | 9.16349i | 0.558529 | + | 0.436357i | ||||
\(442\) | 43.0718 | − | 43.0718i | 2.04872 | − | 2.04872i | ||||
\(443\) | −7.60823 | + | 3.87658i | −0.361478 | + | 0.184182i | −0.625291 | − | 0.780392i | \(-0.715020\pi\) |
0.263813 | + | 0.964574i | \(0.415020\pi\) | |||||||
\(444\) | 7.40995 | − | 0.453268i | 0.351661 | − | 0.0215111i | ||||
\(445\) | 0.490466 | − | 2.04294i | 0.0232503 | − | 0.0968445i | ||||
\(446\) | −13.7937 | + | 27.0716i | −0.653148 | + | 1.28188i | ||||
\(447\) | 1.12664 | + | 8.01603i | 0.0532883 | + | 0.379145i | ||||
\(448\) | 7.02108 | − | 16.9504i | 0.331715 | − | 0.800830i | ||||
\(449\) | −17.3721 | + | 2.75147i | −0.819840 | + | 0.129850i | −0.552245 | − | 0.833682i | \(-0.686229\pi\) |
−0.267595 | + | 0.963532i | \(0.586229\pi\) | |||||||
\(450\) | −32.2597 | − | 11.7410i | −1.52074 | − | 0.553477i | ||||
\(451\) | −4.57948 | − | 4.61961i | −0.215639 | − | 0.217529i | ||||
\(452\) | 37.3315i | 1.75592i | ||||||||
\(453\) | 0.0752926 | − | 4.31536i | 0.00353756 | − | 0.202753i | ||||
\(454\) | 28.7945 | + | 11.9271i | 1.35139 | + | 0.559765i | ||||
\(455\) | −0.388549 | − | 1.19583i | −0.0182155 | − | 0.0560614i | ||||
\(456\) | 14.1820 | − | 18.8204i | 0.664132 | − | 0.881346i | ||||
\(457\) | 20.4127 | + | 4.90064i | 0.954864 | + | 0.229242i | 0.680800 | − | 0.732469i | \(-0.261632\pi\) |
0.274063 | + | 0.961712i | \(0.411632\pi\) | |||||||
\(458\) | −4.52666 | − | 18.8549i | −0.211517 | − | 0.881031i | ||||
\(459\) | −23.9759 | − | 1.25598i | −1.11910 | − | 0.0586243i | ||||
\(460\) | 2.46785 | + | 2.46785i | 0.115064 | + | 0.115064i | ||||
\(461\) | −6.81413 | − | 2.21405i | −0.317366 | − | 0.103118i | 0.146002 | − | 0.989284i | \(-0.453359\pi\) |
−0.463368 | + | 0.886166i | \(0.653359\pi\) | |||||||
\(462\) | −4.45764 | + | 3.67465i | −0.207388 | + | 0.170960i | ||||
\(463\) | −12.6022 | − | 0.991817i | −0.585675 | − | 0.0460936i | −0.217840 | − | 0.975985i | \(-0.569901\pi\) |
−0.367835 | + | 0.929891i | \(0.619901\pi\) | |||||||
\(464\) | −0.0121221 | + | 0.00742843i | −0.000562754 | + | 0.000344856i | ||||
\(465\) | 1.26434 | − | 0.280306i | 0.0586322 | − | 0.0129989i | ||||
\(466\) | 25.7133 | − | 21.9613i | 1.19115 | − | 1.01734i | ||||
\(467\) | −5.54134 | − | 7.62700i | −0.256423 | − | 0.352935i | 0.661325 | − | 0.750099i | \(-0.269994\pi\) |
−0.917748 | + | 0.397164i | \(0.869994\pi\) | |||||||
\(468\) | −15.1106 | + | 54.4901i | −0.698486 | + | 2.51880i | ||||
\(469\) | −11.7426 | − | 8.53149i | −0.542222 | − | 0.393947i | ||||
\(470\) | −1.88422 | − | 1.15465i | −0.0869124 | − | 0.0532600i | ||||
\(471\) | 1.16934 | + | 0.402628i | 0.0538805 | + | 0.0185521i | ||||
\(472\) | 3.81131 | + | 0.603652i | 0.175430 | + | 0.0277853i | ||||
\(473\) | 4.45511 | − | 7.27008i | 0.204846 | − | 0.334279i | ||||
\(474\) | 0.801595 | − | 0.774103i | 0.0368185 | − | 0.0355557i | ||||
\(475\) | −22.7943 | + | 1.79395i | −1.04587 | + | 0.0823119i | ||||
\(476\) | 17.5472 | − | 12.7488i | 0.804274 | − | 0.584339i | ||||
\(477\) | −27.3627 | + | 10.2310i | −1.25285 | + | 0.468444i | ||||
\(478\) | 3.09559 | + | 7.47342i | 0.141589 | + | 0.341826i | ||||
\(479\) | 0.0651114 | + | 0.106252i | 0.00297501 | + | 0.00485478i | 0.854124 | − | 0.520069i | \(-0.174094\pi\) |
−0.851149 | + | 0.524924i | \(0.824094\pi\) | |||||||
\(480\) | −1.38703 | − | 0.358698i | −0.0633088 | − | 0.0163723i | ||||
\(481\) | −4.85396 | + | 5.68326i | −0.221322 | + | 0.259134i | ||||
\(482\) | 4.60874 | − | 14.1843i | 0.209923 | − | 0.646075i | ||||
\(483\) | −13.9993 | + | 9.80258i | −0.636991 | + | 0.446033i | ||||
\(484\) | −14.8783 | − | 29.2003i | −0.676286 | − | 1.32729i | ||||
\(485\) | 0.518828 | − | 0.124560i | 0.0235588 | − | 0.00565596i | ||||
\(486\) | 32.0791 | − | 15.9955i | 1.45514 | − | 0.725572i | ||||
\(487\) | −5.78654 | − | 2.94839i | −0.262213 | − | 0.133604i | 0.317942 | − | 0.948110i | \(-0.397008\pi\) |
−0.580155 | + | 0.814506i | \(0.697008\pi\) | |||||||
\(488\) | 1.95642 | − | 0.635681i | 0.0885632 | − | 0.0287759i | ||||
\(489\) | 22.2959 | + | 14.2038i | 1.00826 | + | 0.642319i | ||||
\(490\) | 0.274150 | + | 1.73092i | 0.0123848 | + | 0.0781948i | ||||
\(491\) | −1.02451 | −0.0462356 | −0.0231178 | − | 0.999733i | \(-0.507359\pi\) | ||||
−0.0231178 | + | 0.999733i | \(0.507359\pi\) | |||||||
\(492\) | −34.4243 | − | 12.0212i | −1.55197 | − | 0.541957i | ||||
\(493\) | 0.280971 | 0.0126543 | ||||||||
\(494\) | 9.47553 | + | 59.8261i | 0.426324 | + | 2.69171i | ||||
\(495\) | 0.345155 | + | 0.316267i | 0.0155136 | + | 0.0142151i | ||||
\(496\) | 1.08231 | − | 0.351663i | 0.0485971 | − | 0.0157902i | ||||
\(497\) | −16.9447 | − | 8.63375i | −0.760073 | − | 0.387277i | ||||
\(498\) | 8.31665 | − | 19.1274i | 0.372678 | − | 0.857119i | ||||
\(499\) | −16.7364 | + | 4.01806i | −0.749226 | + | 0.179873i | −0.590038 | − | 0.807375i | \(-0.700887\pi\) |
−0.159187 | + | 0.987248i | \(0.550887\pi\) | |||||||
\(500\) | −2.28736 | − | 4.48919i | −0.102294 | − | 0.200763i | ||||
\(501\) | −5.36181 | − | 7.65734i | −0.239548 | − | 0.342105i | ||||
\(502\) | −21.3011 | + | 65.5579i | −0.950713 | + | 2.92599i | ||||
\(503\) | 15.4046 | − | 18.0365i | 0.686857 | − | 0.804206i | −0.301963 | − | 0.953320i | \(-0.597642\pi\) |
0.988820 | + | 0.149113i | \(0.0476419\pi\) | |||||||
\(504\) | −5.25974 | + | 11.5419i | −0.234287 | + | 0.514117i | ||||
\(505\) | −0.584653 | − | 0.954066i | −0.0260167 | − | 0.0424554i | ||||
\(506\) | 6.17785 | + | 14.9146i | 0.274639 | + | 0.663037i | ||||
\(507\) | −17.4656 | − | 29.6502i | −0.775675 | − | 1.31681i | ||||
\(508\) | 49.6901 | − | 36.1020i | 2.20464 | − | 1.60177i | ||||
\(509\) | −0.0958437 | + | 0.00754307i | −0.00424820 | + | 0.000334341i | −0.0805830 | − | 0.996748i | \(-0.525678\pi\) |
0.0763348 | + | 0.997082i | \(0.475678\pi\) | |||||||
\(510\) | −1.96369 | − | 2.03343i | −0.0869537 | − | 0.0900418i | ||||
\(511\) | −10.0370 | + | 16.3789i | −0.444010 | + | 0.724559i | ||||
\(512\) | −2.61103 | − | 0.413547i | −0.115392 | − | 0.0182763i | ||||
\(513\) | 15.0242 | − | 18.5542i | 0.663336 | − | 0.819189i | ||||
\(514\) | 27.4601 | + | 16.8276i | 1.21121 | + | 0.742231i | ||||
\(515\) | −0.940939 | − | 0.683632i | −0.0414627 | − | 0.0301244i | ||||
\(516\) | 4.58068 | − | 47.5759i | 0.201653 | − | 2.09441i | ||||
\(517\) | −3.73573 | − | 5.14179i | −0.164297 | − | 0.226136i | ||||
\(518\) | −3.25470 | + | 2.77978i | −0.143004 | + | 0.122137i | ||||
\(519\) | −7.41720 | − | 33.4556i | −0.325579 | − | 1.46854i | ||||
\(520\) | −2.22347 | + | 1.36255i | −0.0975058 | + | 0.0597516i | ||||
\(521\) | −33.0468 | − | 2.60084i | −1.44781 | − | 0.113945i | −0.669960 | − | 0.742397i | \(-0.733689\pi\) |
−0.777848 | + | 0.628452i | \(0.783689\pi\) | |||||||
\(522\) | −0.365110 | + | 0.206576i | −0.0159804 | + | 0.00904160i | ||||
\(523\) | −16.5264 | − | 5.36975i | −0.722649 | − | 0.234803i | −0.0754774 | − | 0.997148i | \(-0.524048\pi\) |
−0.647171 | + | 0.762345i | \(0.724048\pi\) | |||||||
\(524\) | −18.8688 | − | 18.8688i | −0.824288 | − | 0.824288i | ||||
\(525\) | 11.7689 | − | 3.59820i | 0.513636 | − | 0.157039i | ||||
\(526\) | 0.0318371 | + | 0.132611i | 0.00138816 | + | 0.00578212i | ||||
\(527\) | −21.8688 | − | 5.25024i | −0.952621 | − | 0.228704i | ||||
\(528\) | 0.328543 | + | 0.247571i | 0.0142980 | + | 0.0107741i | ||||
\(529\) | 7.65044 | + | 23.5456i | 0.332628 | + | 1.02372i | ||||
\(530\) | −3.17774 | − | 1.31626i | −0.138032 | − | 0.0571748i | ||||
\(531\) | 3.83757 | + | 0.745889i | 0.166537 | + | 0.0323688i | ||||
\(532\) | 21.5682i | 0.935098i | ||||||||
\(533\) | 32.7807 | − | 16.5229i | 1.41989 | − | 0.715685i | ||||
\(534\) | 9.45925 | − | 53.6484i | 0.409342 | − | 2.32159i | ||||
\(535\) | −0.241181 | + | 0.0381994i | −0.0104272 | + | 0.00165150i | ||||
\(536\) | −11.5199 | + | 27.8115i | −0.497584 | + | 1.20127i | ||||
\(537\) | −20.2993 | + | 2.85304i | −0.875980 | + | 0.123118i | ||||
\(538\) | 18.5596 | − | 36.4252i | 0.800160 | − | 1.57040i | ||||
\(539\) | −1.17661 | + | 4.90094i | −0.0506803 | + | 0.211099i | ||||
\(540\) | 2.51614 | + | 0.745254i | 0.108277 | + | 0.0320706i | ||||
\(541\) | 22.2173 | − | 11.3203i | 0.955195 | − | 0.486696i | 0.0943363 | − | 0.995540i | \(-0.469927\pi\) |
0.860859 | + | 0.508844i | \(0.169927\pi\) | |||||||
\(542\) | 26.1634 | − | 26.1634i | 1.12381 | − | 1.12381i | ||||
\(543\) | 23.8875 | + | 12.7010i | 1.02511 | + | 0.545051i | ||||
\(544\) | 18.9191 | + | 16.1584i | 0.811149 | + | 0.692787i | ||||
\(545\) | −0.220066 | + | 2.79620i | −0.00942659 | + | 0.119776i | ||||
\(546\) | −11.9489 | − | 30.3334i | −0.511366 | − | 1.29815i | ||||
\(547\) | 38.7716 | − | 16.0597i | 1.65775 | − | 0.686664i | 0.659852 | − | 0.751396i | \(-0.270619\pi\) |
0.997903 | + | 0.0647315i | \(0.0206191\pi\) | |||||||
\(548\) | 13.9523 | + | 16.3360i | 0.596012 | + | 0.697841i | ||||
\(549\) | 2.00332 | − | 0.574476i | 0.0854998 | − | 0.0245180i | ||||
\(550\) | −0.912087 | − | 11.5892i | −0.0388915 | − | 0.494164i | ||||
\(551\) | −0.164226 | + | 0.226038i | −0.00699628 | + | 0.00962955i | ||||
\(552\) | 26.5465 | + | 23.4860i | 1.12989 | + | 0.999629i | ||||
\(553\) | −0.0624919 | + | 0.394559i | −0.00265743 | + | 0.0167783i | ||||
\(554\) | −7.85017 | + | 49.5640i | −0.333522 | + | 2.10577i | ||||
\(555\) | 0.259777 | + | 0.229828i | 0.0110269 | + | 0.00975566i | ||||
\(556\) | 4.59546 | − | 6.32511i | 0.194891 | − | 0.268245i | ||||
\(557\) | 1.36443 | + | 17.3367i | 0.0578127 | + | 0.734580i | 0.955698 | + | 0.294350i | \(0.0951031\pi\) |
−0.897885 | + | 0.440230i | \(0.854897\pi\) | |||||||
\(558\) | 32.2777 | − | 9.25601i | 1.36642 | − | 0.391838i | ||||
\(559\) | 31.2508 | + | 36.5900i | 1.32177 | + | 1.54759i | ||||
\(560\) | −0.0473731 | + | 0.0196226i | −0.00200188 | + | 0.000829206i | ||||
\(561\) | −2.97971 | − | 7.56427i | −0.125803 | − | 0.319364i | ||||
\(562\) | 0.159801 | − | 2.03047i | 0.00674082 | − | 0.0856502i | ||||
\(563\) | −21.9794 | − | 18.7722i | −0.926321 | − | 0.791153i | 0.0519142 | − | 0.998652i | \(-0.483468\pi\) |
−0.978235 | + | 0.207499i | \(0.933468\pi\) | |||||||
\(564\) | −31.4565 | − | 16.7254i | −1.32456 | − | 0.704268i | ||||
\(565\) | −1.23332 | + | 1.23332i | −0.0518862 | + | 0.0518862i | ||||
\(566\) | −61.1508 | + | 31.1579i | −2.57036 | + | 1.30966i | ||||
\(567\) | −5.73334 | + | 11.5002i | −0.240778 | + | 0.482961i | ||||
\(568\) | −9.20748 | + | 38.3519i | −0.386337 | + | 1.60921i | ||||
\(569\) | 20.9976 | − | 41.2100i | 0.880263 | − | 1.72761i | 0.221660 | − | 0.975124i | \(-0.428853\pi\) |
0.658604 | − | 0.752490i | \(-0.271147\pi\) | |||||||
\(570\) | 2.78364 | − | 0.391237i | 0.116594 | − | 0.0163871i | ||||
\(571\) | −14.8367 | + | 35.8191i | −0.620898 | + | 1.49898i | 0.229752 | + | 0.973249i | \(0.426208\pi\) |
−0.850651 | + | 0.525732i | \(0.823792\pi\) | |||||||
\(572\) | −18.9124 | + | 2.99542i | −0.790765 | + | 0.125245i | ||||
\(573\) | 6.41684 | − | 36.3933i | 0.268067 | − | 1.52035i | ||||
\(574\) | 20.0220 | − | 6.40913i | 0.835704 | − | 0.267512i | ||||
\(575\) | − | 34.3903i | − | 1.43417i | ||||||
\(576\) | −37.8416 | − | 7.35508i | −1.57673 | − | 0.306462i | ||||
\(577\) | −22.5894 | − | 9.35683i | −0.940409 | − | 0.389530i | −0.140791 | − | 0.990039i | \(-0.544965\pi\) |
−0.799618 | + | 0.600509i | \(0.794965\pi\) | |||||||
\(578\) | 3.09027 | + | 9.51086i | 0.128538 | + | 0.395600i | ||||
\(579\) | −6.30423 | − | 4.75051i | −0.261995 | − | 0.197424i | ||||
\(580\) | −0.0298620 | − | 0.00716922i | −0.00123995 | − | 0.000297686i | ||||
\(581\) | 1.74546 | + | 7.27035i | 0.0724138 | + | 0.301625i | ||||
\(582\) | 13.2303 | − | 4.04501i | 0.548412 | − | 0.167671i | ||||
\(583\) | −6.99487 | − | 6.99487i | −0.289698 | − | 0.289698i | ||||
\(584\) | 37.8903 | + | 12.3113i | 1.56791 | + | 0.509445i | ||||
\(585\) | −2.29940 | + | 1.30098i | −0.0950684 | + | 0.0537890i | ||||
\(586\) | −26.1655 | − | 2.05927i | −1.08089 | − | 0.0850678i | ||||
\(587\) | −20.6852 | + | 12.6759i | −0.853771 | + | 0.523192i | −0.879182 | − | 0.476485i | \(-0.841911\pi\) |
0.0254110 | + | 0.999677i | \(0.491911\pi\) | |||||||
\(588\) | 6.11529 | + | 27.5833i | 0.252190 | + | 1.13752i | ||||
\(589\) | 17.0060 | − | 14.5245i | 0.700720 | − | 0.598472i | ||||
\(590\) | 0.270555 | + | 0.372388i | 0.0111386 | + | 0.0153310i | ||||
\(591\) | −0.731918 | + | 7.60185i | −0.0301071 | + | 0.312698i | ||||
\(592\) | 0.246583 | + | 0.179153i | 0.0101345 | + | 0.00736315i | ||||
\(593\) | 20.9091 | + | 12.8131i | 0.858633 | + | 0.526171i | 0.880748 | − | 0.473584i | \(-0.157040\pi\) |
−0.0221152 | + | 0.999755i | \(0.507040\pi\) | |||||||
\(594\) | 9.43343 | + | 7.63869i | 0.387058 | + | 0.313419i | ||||
\(595\) | 1.00089 | + | 0.158525i | 0.0410324 | + | 0.00649890i | ||||
\(596\) | −8.02842 | + | 13.1012i | −0.328857 | + | 0.536646i | ||||
\(597\) | 17.3238 | + | 17.9391i | 0.709017 | + | 0.734197i | ||||
\(598\) | −90.8238 | + | 7.14799i | −3.71406 | + | 0.292303i | ||||
\(599\) | −7.68953 | + | 5.58677i | −0.314186 | + | 0.228269i | −0.733690 | − | 0.679484i | \(-0.762204\pi\) |
0.419505 | + | 0.907753i | \(0.362204\pi\) | |||||||
\(600\) | −12.9544 | − | 21.9918i | −0.528861 | − | 0.897813i | ||||
\(601\) | −11.5072 | − | 27.7809i | −0.469390 | − | 1.13321i | −0.964430 | − | 0.264337i | \(-0.914847\pi\) |
0.495041 | − | 0.868870i | \(-0.335153\pi\) | |||||||
\(602\) | 14.3984 | + | 23.4961i | 0.586837 | + | 0.957631i | ||||
\(603\) | −12.6467 | + | 27.7517i | −0.515012 | + | 1.13014i | ||||
\(604\) | 5.32066 | − | 6.22970i | 0.216495 | − | 0.253483i | ||||
\(605\) | 0.473156 | − | 1.45623i | 0.0192365 | − | 0.0592040i | ||||
\(606\) | −16.6414 | − | 23.7660i | −0.676011 | − | 0.965429i | ||||
\(607\) | −2.42424 | − | 4.75784i | −0.0983970 | − | 0.193115i | 0.836561 | − | 0.547874i | \(-0.184563\pi\) |
−0.934958 | + | 0.354759i | \(0.884563\pi\) | |||||||
\(608\) | −24.0574 | + | 5.77568i | −0.975657 | + | 0.234235i | ||||
\(609\) | 0.0599639 | − | 0.137910i | 0.00242986 | − | 0.00558841i | ||||
\(610\) | 0.218636 | + | 0.111400i | 0.00885230 | + | 0.00451047i | ||||
\(611\) | 34.1119 | − | 11.0836i | 1.38002 | − | 0.448396i | ||||
\(612\) | −33.6004 | − | 30.7882i | −1.35822 | − | 1.24454i | ||||
\(613\) | −4.39362 | − | 27.7402i | −0.177457 | − | 1.12042i | −0.902175 | − | 0.431371i | \(-0.858030\pi\) |
0.724718 | − | 0.689046i | \(-0.241970\pi\) | |||||||
\(614\) | −18.8392 | −0.760288 | ||||||||
\(615\) | −0.740134 | − | 1.53442i | −0.0298451 | − | 0.0618738i | ||||
\(616\) | −4.29509 | −0.173054 | ||||||||
\(617\) | 3.32339 | + | 20.9831i | 0.133795 | + | 0.844746i | 0.959718 | + | 0.280964i | \(0.0906542\pi\) |
−0.825924 | + | 0.563782i | \(0.809346\pi\) | |||||||
\(618\) | −25.4341 | − | 16.2031i | −1.02311 | − | 0.651782i | ||||
\(619\) | −17.7954 | + | 5.78208i | −0.715258 | + | 0.232401i | −0.643966 | − | 0.765054i | \(-0.722712\pi\) |
−0.0712918 | + | 0.997455i | \(0.522712\pi\) | |||||||
\(620\) | 2.19028 | + | 1.11601i | 0.0879639 | + | 0.0448199i | ||||
\(621\) | 26.0479 | + | 24.7175i | 1.04527 | + | 0.991878i | ||||
\(622\) | 7.20183 | − | 1.72901i | 0.288767 | − | 0.0693268i | ||||
\(623\) | 8.86582 | + | 17.4002i | 0.355202 | + | 0.697123i | ||||
\(624\) | −1.90172 | + | 1.33162i | −0.0761297 | + | 0.0533075i | ||||
\(625\) | −7.61623 | + | 23.4403i | −0.304649 | + | 0.937613i | ||||
\(626\) | −4.27265 | + | 5.00263i | −0.170769 | + | 0.199945i | ||||
\(627\) | 7.82700 | + | 2.02414i | 0.312580 | + | 0.0808363i | ||||
\(628\) | 1.22658 | + | 2.00159i | 0.0489457 | + | 0.0798721i | ||||
\(629\) | −2.30512 | − | 5.56506i | −0.0919113 | − | 0.221894i | ||||
\(630\) | −1.41716 | + | 0.529880i | −0.0564612 | + | 0.0211109i | ||||
\(631\) | 11.5207 | − | 8.37030i | 0.458633 | − | 0.333217i | −0.334362 | − | 0.942445i | \(-0.608521\pi\) |
0.792995 | + | 0.609228i | \(0.208521\pi\) | |||||||
\(632\) | 0.825950 | − | 0.0650037i | 0.0328545 | − | 0.00258571i | ||||
\(633\) | 7.52027 | − | 7.26235i | 0.298904 | − | 0.288653i | ||||
\(634\) | −18.3758 | + | 29.9867i | −0.729798 | + | 1.19092i | ||||
\(635\) | 2.83432 | + | 0.448912i | 0.112476 | + | 0.0178145i | ||||
\(636\) | −52.4304 | − | 18.0528i | −2.07900 | − | 0.715840i | ||||
\(637\) | −24.2525 | − | 14.8620i | −0.960920 | − | 0.588853i | ||||
\(638\) | −0.114923 | − | 0.0834967i | −0.00454986 | − | 0.00330567i | ||||
\(639\) | −10.6779 | + | 38.5055i | −0.422411 | + | 1.52325i | ||||
\(640\) | −1.69553 | − | 2.33370i | −0.0670218 | − | 0.0922475i | ||||
\(641\) | −26.4706 | + | 22.6080i | −1.04553 | + | 0.892964i | −0.994395 | − | 0.105728i | \(-0.966283\pi\) |
−0.0511314 | + | 0.998692i | \(0.516283\pi\) | |||||||
\(642\) | −6.18139 | + | 1.37043i | −0.243960 | + | 0.0540866i | ||||
\(643\) | 14.9041 | − | 9.13327i | 0.587762 | − | 0.360181i | −0.196600 | − | 0.980484i | \(-0.562990\pi\) |
0.784363 | + | 0.620303i | \(0.212990\pi\) | |||||||
\(644\) | −32.3401 | − | 2.54522i | −1.27438 | − | 0.100296i | ||||
\(645\) | 1.72310 | − | 1.42043i | 0.0678469 | − | 0.0559295i | ||||
\(646\) | −46.4280 | − | 15.0854i | −1.82669 | − | 0.593526i | ||||
\(647\) | 3.70787 | + | 3.70787i | 0.145771 | + | 0.145771i | 0.776226 | − | 0.630455i | \(-0.217132\pi\) |
−0.630455 | + | 0.776226i | \(0.717132\pi\) | |||||||
\(648\) | 25.9679 | + | 5.99433i | 1.02011 | + | 0.235480i | ||||
\(649\) | 0.309040 | + | 1.28724i | 0.0121309 | + | 0.0505288i | ||||
\(650\) | 63.7922 | + | 15.3152i | 2.50214 | + | 0.600710i | ||||
\(651\) | −7.24418 | + | 9.61350i | −0.283922 | + | 0.376783i | ||||
\(652\) | 15.5065 | + | 47.7242i | 0.607282 | + | 1.86902i | ||||
\(653\) | −42.2233 | − | 17.4895i | −1.65233 | − | 0.684416i | −0.654873 | − | 0.755739i | \(-0.727278\pi\) |
−0.997453 | + | 0.0713227i | \(0.977278\pi\) | |||||||
\(654\) | −1.26870 | + | 72.7151i | −0.0496102 | + | 2.84339i | ||||
\(655\) | − | 1.24674i | − | 0.0487141i | ||||||
\(656\) | −0.776621 | − | 1.27983i | −0.0303219 | − | 0.0499689i | ||||
\(657\) | 37.9284 | + | 13.8042i | 1.47973 | + | 0.538552i | ||||
\(658\) | 20.2878 | − | 3.21326i | 0.790899 | − | 0.125266i | ||||
\(659\) | −13.3806 | + | 32.3035i | −0.521233 | + | 1.25837i | 0.415906 | + | 0.909408i | \(0.363465\pi\) |
−0.937138 | + | 0.348959i | \(0.886535\pi\) | |||||||
\(660\) | 0.123679 | + | 0.879971i | 0.00481418 | + | 0.0342528i | ||||
\(661\) | 7.45560 | − | 14.6324i | 0.289989 | − | 0.569136i | −0.699348 | − | 0.714782i | \(-0.746526\pi\) |
0.989337 | + | 0.145646i | \(0.0465260\pi\) | |||||||
\(662\) | 4.24631 | − | 17.6872i | 0.165038 | − | 0.687431i | ||||
\(663\) | 45.7954 | − | 2.80131i | 1.77855 | − | 0.108794i | ||||
\(664\) | 13.8168 | − | 7.04002i | 0.536197 | − | 0.273206i | ||||
\(665\) | −0.712548 | + | 0.712548i | −0.0276314 | + | 0.0276314i | ||||
\(666\) | 7.08698 | + | 5.53678i | 0.274615 | + | 0.214546i | ||||
\(667\) | −0.319550 | − | 0.272922i | −0.0123730 | − | 0.0105676i | ||||
\(668\) | 1.39218 | − | 17.6894i | 0.0538652 | − | 0.684423i | ||||
\(669\) | −21.2929 | + | 8.38767i | −0.823230 | + | 0.324286i | ||||
\(670\) | −3.31748 | + | 1.37414i | −0.128165 | + | 0.0530878i | ||||
\(671\) | 0.458328 | + | 0.536633i | 0.0176936 | + | 0.0207165i | ||||
\(672\) | 11.9688 | − | 5.83767i | 0.461706 | − | 0.225193i | ||||
\(673\) | −0.737784 | − | 9.37443i | −0.0284395 | − | 0.361358i | −0.994627 | − | 0.103519i | \(-0.966990\pi\) |
0.966188 | − | 0.257839i | \(-0.0830103\pi\) | |||||||
\(674\) | 7.39775 | − | 10.1821i | 0.284951 | − | 0.392201i | ||||
\(675\) | −12.3390 | − | 22.7243i | −0.474927 | − | 0.874659i | ||||
\(676\) | 10.2183 | − | 64.5160i | 0.393013 | − | 2.48139i | ||||
\(677\) | 4.16125 | − | 26.2731i | 0.159930 | − | 1.00976i | −0.768932 | − | 0.639331i | \(-0.779212\pi\) |
0.928862 | − | 0.370427i | \(-0.120788\pi\) | |||||||
\(678\) | −29.9663 | + | 33.8713i | −1.15085 | + | 1.30082i | ||||
\(679\) | −2.91514 | + | 4.01235i | −0.111873 | + | 0.153980i | ||||
\(680\) | −0.164897 | − | 2.09521i | −0.00632350 | − | 0.0803477i | ||||
\(681\) | 10.2912 | + | 21.0998i | 0.394361 | + | 0.808545i | ||||
\(682\) | 7.38462 | + | 8.64628i | 0.282772 | + | 0.331083i | ||||
\(683\) | 36.4113 | − | 15.0820i | 1.39324 | − | 0.577098i | 0.445251 | − | 0.895406i | \(-0.353115\pi\) |
0.947987 | + | 0.318308i | \(0.103115\pi\) | |||||||
\(684\) | 44.4081 | − | 9.03562i | 1.69799 | − | 0.345485i | ||||
\(685\) | −0.0787517 | + | 1.00064i | −0.00300895 | + | 0.0382323i | ||||
\(686\) | −29.8626 | − | 25.5051i | −1.14016 | − | 0.973788i | ||||
\(687\) | 6.85679 | − | 12.8960i | 0.261603 | − | 0.492012i | ||||
\(688\) | 1.38757 | − | 1.38757i | 0.0529006 | − | 0.0529006i | ||||
\(689\) | 49.7415 | − | 25.3445i | 1.89500 | − | 0.965550i | ||||
\(690\) | 0.258142 | + | 4.22007i | 0.00982731 | + | 0.160655i | ||||
\(691\) | 8.18808 | − | 34.1058i | 0.311489 | − | 1.29745i | −0.568590 | − | 0.822621i | \(-0.692511\pi\) |
0.880080 | − | 0.474826i | \(-0.157489\pi\) | |||||||
\(692\) | 29.5307 | − | 57.9572i | 1.12259 | − | 2.20320i | ||||
\(693\) | −4.34873 | − | 0.151796i | −0.165195 | − | 0.00576625i | ||||
\(694\) | −18.8405 | + | 45.4849i | −0.715174 | + | 1.72658i | ||||
\(695\) | 0.360783 | − | 0.0571425i | 0.0136853 | − | 0.00216754i | ||||
\(696\) | −0.307152 | − | 0.0541568i | −0.0116426 | − | 0.00205281i | ||||
\(697\) | −0.129054 | + | 29.5853i | −0.00488826 | + | 1.12062i | ||||
\(698\) | 2.12086i | 0.0802756i | ||||||||
\(699\) | 25.4667 | + | 0.444332i | 0.963238 | + | 0.0168062i | ||||
\(700\) | 21.5821 | + | 8.93959i | 0.815726 | + | 0.337885i | ||||
\(701\) | 7.53557 | + | 23.1921i | 0.284615 | + | 0.875954i | 0.986514 | + | 0.163678i | \(0.0523357\pi\) |
−0.701899 | + | 0.712276i | \(0.747664\pi\) | |||||||
\(702\) | −57.4497 | + | 37.3101i | −2.16830 | + | 1.40818i | ||||
\(703\) | 5.82437 | + | 1.39831i | 0.219670 | + | 0.0527382i | ||||
\(704\) | −3.04739 | − | 12.6933i | −0.114853 | − | 0.478396i | ||||
\(705\) | −0.486672 | − | 1.59179i | −0.0183291 | − | 0.0599502i | ||||
\(706\) | −33.6159 | − | 33.6159i | −1.26515 | − | 1.26515i | ||||
\(707\) | 9.89164 | + | 3.21399i | 0.372013 | + | 0.120874i | ||||
\(708\) | 4.72021 | + | 5.72599i | 0.177396 | + | 0.215196i | ||||
\(709\) | −12.8280 | − | 1.00959i | −0.481766 | − | 0.0379158i | −0.164749 | − | 0.986336i | \(-0.552681\pi\) |
−0.317017 | + | 0.948420i | \(0.602681\pi\) | |||||||
\(710\) | −4.01148 | + | 2.45824i | −0.150548 | + | 0.0922561i | ||||
\(711\) | 0.838562 | − | 0.0366250i | 0.0314485 | − | 0.00137354i | ||||
\(712\) | 30.7979 | − | 26.3039i | 1.15420 | − | 0.985780i | ||||
\(713\) | 19.7718 | + | 27.2135i | 0.740458 | + | 1.01915i | ||||
\(714\) | 26.1543 | + | 2.51818i | 0.978801 | + | 0.0942404i | ||||
\(715\) | −0.723768 | − | 0.525848i | −0.0270674 | − | 0.0196656i | ||||
\(716\) | −33.1767 | − | 20.3307i | −1.23987 | − | 0.759794i | ||||
\(717\) | −1.98364 | + | 5.76104i | −0.0740802 | + | 0.215150i | ||||
\(718\) | 1.34780 | + | 0.213471i | 0.0502996 | + | 0.00796667i | ||||
\(719\) | 22.0268 | − | 35.9444i | 0.821460 | − | 1.34050i | −0.116300 | − | 0.993214i | \(-0.537103\pi\) |
0.937759 | − | 0.347286i | \(-0.112897\pi\) | |||||||
\(720\) | 0.0602484 | + | 0.0893191i | 0.00224533 | + | 0.00332873i | ||||
\(721\) | 10.7774 | − | 0.848196i | 0.401370 | − | 0.0315885i | ||||
\(722\) | 3.92650 | − | 2.85277i | 0.146129 | − | 0.106169i | ||||
\(723\) | 9.67930 | − | 5.70164i | 0.359977 | − | 0.212046i | ||||
\(724\) | 19.6522 | + | 47.4447i | 0.730369 | + | 1.76327i | ||||
\(725\) | 0.158115 | + | 0.258021i | 0.00587226 | + | 0.00958266i | ||||
\(726\) | 9.94010 | − | 38.4367i | 0.368912 | − | 1.42652i | ||||
\(727\) | −20.0654 | + | 23.4936i | −0.744184 | + | 0.871328i | −0.995321 | − | 0.0966239i | \(-0.969196\pi\) |
0.251137 | + | 0.967952i | \(0.419196\pi\) | |||||||
\(728\) | 7.49028 | − | 23.0527i | 0.277608 | − | 0.854390i | ||||
\(729\) | 26.0803 | + | 6.98694i | 0.965937 | + | 0.258776i | ||||
\(730\) | 2.15750 | + | 4.23434i | 0.0798528 | + | 0.156720i | ||||
\(731\) | −37.7095 | + | 9.05325i | −1.39474 | + | 0.334846i | ||||
\(732\) | 3.62784 | + | 1.57740i | 0.134089 | + | 0.0583023i | ||||
\(733\) | 26.8720 | + | 13.6920i | 0.992540 | + | 0.505724i | 0.873322 | − | 0.487144i | \(-0.161961\pi\) |
0.119218 | + | 0.992868i | \(0.461961\pi\) | |||||||
\(734\) | −46.1338 | + | 14.9898i | −1.70283 | + | 0.553283i | ||||
\(735\) | −0.709239 | + | 1.11330i | −0.0261607 | + | 0.0410647i | ||||
\(736\) | −5.82129 | − | 36.7542i | −0.214576 | − | 1.35478i | ||||
\(737\) | −10.3272 | −0.380409 | ||||||||
\(738\) | −21.5841 | − | 38.5397i | −0.794521 | − | 1.41867i | ||||
\(739\) | −24.1164 | −0.887134 | −0.443567 | − | 0.896241i | \(-0.646287\pi\) | ||||
−0.443567 | + | 0.896241i | \(0.646287\pi\) | |||||||
\(740\) | 0.102994 | + | 0.650280i | 0.00378614 | + | 0.0239048i | ||||
\(741\) | −24.5136 | + | 38.4793i | −0.900531 | + | 1.41357i | ||||
\(742\) | 30.4059 | − | 9.87948i | 1.11624 | − | 0.362687i | ||||
\(743\) | −11.9455 | − | 6.08655i | −0.438239 | − | 0.223294i | 0.220928 | − | 0.975290i | \(-0.429091\pi\) |
−0.659168 | + | 0.751996i | \(0.729091\pi\) | |||||||
\(744\) | 22.8946 | + | 9.95465i | 0.839356 | + | 0.364955i | ||||
\(745\) | −0.698060 | + | 0.167589i | −0.0255749 | + | 0.00614000i | ||||
\(746\) | 22.7539 | + | 44.6570i | 0.833078 | + | 1.63501i | ||||
\(747\) | 14.2382 | − | 6.63963i | 0.520948 | − | 0.242931i | ||||
\(748\) | 4.76882 | − | 14.6769i | 0.174365 | − | 0.536641i | ||||
\(749\) | 1.47407 | − | 1.72591i | 0.0538613 | − | 0.0630634i | ||||
\(750\) | 1.52817 | − | 5.90918i | 0.0558009 | − | 0.215773i | ||||
\(751\) | −12.4491 | − | 20.3151i | −0.454274 | − | 0.741308i | 0.540724 | − | 0.841200i | \(-0.318150\pi\) |
−0.994998 | + | 0.0998919i | \(0.968150\pi\) | |||||||
\(752\) | −0.559749 | − | 1.35135i | −0.0204119 | − | 0.0492788i | ||||
\(753\) | −44.7365 | + | 26.3523i | −1.63029 | + | 0.960331i | ||||
\(754\) | 0.648562 | − | 0.471208i | 0.0236192 | − | 0.0171604i | ||||
\(755\) | 0.381590 | − | 0.0300317i | 0.0138875 | − | 0.00109297i | ||||
\(756\) | −22.2828 | + | 9.92155i | −0.810418 | + | 0.360843i | ||||
\(757\) | −13.4678 | + | 21.9774i | −0.489494 | + | 0.798782i | −0.998061 | − | 0.0622408i | \(-0.980175\pi\) |
0.508567 | + | 0.861022i | \(0.330175\pi\) | |||||||
\(758\) | 45.8408 | + | 7.26048i | 1.66501 | + | 0.263712i | ||||
\(759\) | −3.95872 | + | 11.4972i | −0.143693 | + | 0.417324i | ||||
\(760\) | 1.78196 | + | 1.09199i | 0.0646384 | + | 0.0396105i | ||||
\(761\) | 14.8222 | + | 10.7689i | 0.537303 | + | 0.390373i | 0.823082 | − | 0.567922i | \(-0.192253\pi\) |
−0.285780 | + | 0.958295i | \(0.592253\pi\) | |||||||
\(762\) | 74.0638 | + | 7.13098i | 2.68305 | + | 0.258328i | ||||
\(763\) | −15.3242 | − | 21.0919i | −0.554772 | − | 0.763579i | ||||
\(764\) | 53.3400 | − | 45.5567i | 1.92977 | − | 1.64818i | ||||
\(765\) | −0.0929077 | − | 2.12721i | −0.00335909 | − | 0.0769093i | ||||
\(766\) | −56.6943 | + | 34.7423i | −2.04845 | + | 1.25529i | ||||
\(767\) | −7.44787 | − | 0.586160i | −0.268927 | − | 0.0211650i | ||||
\(768\) | −19.2612 | − | 23.3653i | −0.695028 | − | 0.843123i | ||||
\(769\) | 23.4581 | + | 7.62201i | 0.845922 | + | 0.274857i | 0.699737 | − | 0.714401i | \(-0.253301\pi\) |
0.146185 | + | 0.989257i | \(0.453301\pi\) | |||||||
\(770\) | −0.362277 | − | 0.362277i | −0.0130556 | − | 0.0130556i | ||||
\(771\) | 7.09262 | + | 23.1983i | 0.255435 | + | 0.835467i | ||||
\(772\) | −3.49788 | − | 14.5697i | −0.125891 | − | 0.524375i | ||||
\(773\) | −23.3157 | − | 5.59761i | −0.838609 | − | 0.201332i | −0.208679 | − | 0.977984i | \(-0.566916\pi\) |
−0.629930 | + | 0.776652i | \(0.716916\pi\) | |||||||
\(774\) | 42.3457 | − | 39.4892i | 1.52209 | − | 1.41941i | ||||
\(775\) | −7.48522 | − | 23.0371i | −0.268877 | − | 0.827518i | ||||
\(776\) | 9.50297 | + | 3.93626i | 0.341137 | + | 0.141303i | ||||
\(777\) | −3.22348 | − | 0.0562420i | −0.115642 | − | 0.00201767i | ||||
\(778\) | − | 62.3344i | − | 2.23480i | ||||||
\(779\) | −23.7256 | − | 17.3963i | −0.850058 | − | 0.623287i | ||||
\(780\) | −4.93868 | − | 0.870785i | −0.176833 | − | 0.0311791i | ||||
\(781\) | −13.3644 | + | 2.11672i | −0.478217 | + | 0.0757422i | ||||
\(782\) | 28.0985 | − | 67.8357i | 1.00480 | − | 2.42580i | ||||
\(783\) | −0.309074 | − | 0.0656884i | −0.0110454 | − | 0.00234751i | ||||
\(784\) | −0.526613 | + | 1.03354i | −0.0188076 | + | 0.0369120i | ||||
\(785\) | −0.0256041 | + | 0.106649i | −0.000913851 | + | 0.00380646i | ||||
\(786\) | −1.97372 | − | 32.2661i | −0.0704002 | − | 1.15089i | ||||
\(787\) | 38.3473 | − | 19.5389i | 1.36693 | − | 0.696487i | 0.392204 | − | 0.919878i | \(-0.371713\pi\) |
0.974729 | + | 0.223391i | \(0.0717128\pi\) | |||||||
\(788\) | −10.2505 | + | 10.2505i | −0.365160 | + | 0.365160i | ||||
\(789\) | −0.0482255 | + | 0.0907007i | −0.00171687 | + | 0.00322903i | ||||
\(790\) | 0.0751490 | + | 0.0641833i | 0.00267368 | + | 0.00228354i | ||||
\(791\) | 1.27199 | − | 16.1621i | 0.0452267 | − | 0.574660i | ||||
\(792\) | 1.79936 | + | 8.84344i | 0.0639373 | + | 0.314238i | ||||
\(793\) | −3.67951 | + | 1.52410i | −0.130663 | + | 0.0541225i | ||||
\(794\) | −23.0308 | − | 26.9657i | −0.817334 | − | 0.956975i | ||||
\(795\) | −1.13573 | − | 2.32856i | −0.0402803 | − | 0.0825853i | ||||
\(796\) | 3.71407 | + | 47.1918i | 0.131642 | + | 1.67267i | ||||
\(797\) | −17.4942 | + | 24.0787i | −0.619676 | + | 0.852911i | −0.997329 | − | 0.0730360i | \(-0.976731\pi\) |
0.377653 | + | 0.925947i | \(0.376731\pi\) | |||||||
\(798\) | −17.3130 | + | 19.5690i | −0.612872 | + | 0.692736i | ||||
\(799\) | −4.52205 | + | 28.5511i | −0.159979 | + | 1.01006i | ||||
\(800\) | −4.19194 | + | 26.4669i | −0.148207 | + | 0.935745i | ||||
\(801\) | 32.1121 | − | 25.5439i | 1.13463 | − | 0.902550i | ||||
\(802\) | −22.3878 | + | 30.8142i | −0.790542 | + | 1.08809i | ||||
\(803\) | 1.07236 | + | 13.6256i | 0.0378427 | + | 0.480837i | ||||
\(804\) | −52.0308 | + | 25.3776i | −1.83498 | + | 0.894999i | ||||
\(805\) | −0.984335 | − | 1.15251i | −0.0346932 | − | 0.0406206i | ||||
\(806\) | −59.2846 | + | 24.5565i | −2.08821 | + | 0.864966i | ||||
\(807\) | 28.6499 | − | 11.2857i | 1.00852 | − | 0.397277i | ||||
\(808\) | 1.69242 | − | 21.5042i | 0.0595391 | − | 0.756516i | ||||
\(809\) | −3.63333 | − | 3.10316i | −0.127741 | − | 0.109101i | 0.583282 | − | 0.812269i | \(-0.301768\pi\) |
−0.711024 | + | 0.703168i | \(0.751768\pi\) | |||||||
\(810\) | 1.68470 | + | 2.69591i | 0.0591944 | + | 0.0947245i | ||||
\(811\) | 16.5010 | − | 16.5010i | 0.579429 | − | 0.579429i | −0.355317 | − | 0.934746i | \(-0.615627\pi\) |
0.934746 | + | 0.355317i | \(0.115627\pi\) | |||||||
\(812\) | 0.254341 | − | 0.129593i | 0.00892563 | − | 0.00454783i | ||||
\(813\) | 27.8178 | − | 1.70162i | 0.975613 | − | 0.0596784i | ||||
\(814\) | −0.710935 | + | 2.96126i | −0.0249182 | + | 0.103792i | ||||
\(815\) | −1.06437 | + | 2.08895i | −0.0372834 | + | 0.0731728i | ||||
\(816\) | −0.260415 | − | 1.85285i | −0.00911633 | − | 0.0648626i | ||||
\(817\) | 14.7578 | − | 35.6285i | 0.516310 | − | 1.24648i | ||||
\(818\) | 68.8710 | − | 10.9081i | 2.40802 | − | 0.381392i | ||||
\(819\) | 8.39854 | − | 23.0759i | 0.293469 | − | 0.806336i | ||||
\(820\) | 0.768611 | − | 3.14107i | 0.0268410 | − | 0.109691i | ||||
\(821\) | − | 49.8342i | − | 1.73923i | −0.493733 | − | 0.869613i | \(-0.664368\pi\) | ||
0.493733 | − | 0.869613i | \(-0.335632\pi\) | |||||||
\(822\) | −0.454012 | + | 26.0215i | −0.0158355 | + | 0.907604i | ||||
\(823\) | 28.2120 | + | 11.6858i | 0.983409 | + | 0.407341i | 0.815687 | − | 0.578493i | \(-0.196359\pi\) |
0.167722 | + | 0.985834i | \(0.446359\pi\) | |||||||
\(824\) | −6.92849 | − | 21.3237i | −0.241365 | − | 0.742846i | ||||
\(825\) | 5.26959 | − | 6.99309i | 0.183464 | − | 0.243468i | ||||
\(826\) | −4.16024 | − | 0.998785i | −0.144753 | − | 0.0347522i | ||||
\(827\) | 9.96608 | + | 41.5117i | 0.346555 | + | 1.44350i | 0.824873 | + | 0.565318i | \(0.191246\pi\) |
−0.478319 | + | 0.878186i | \(0.658754\pi\) | |||||||
\(828\) | 8.30783 | + | 67.6535i | 0.288717 | + | 2.35112i | ||||
\(829\) | 20.6608 | + | 20.6608i | 0.717578 | + | 0.717578i | 0.968109 | − | 0.250531i | \(-0.0806051\pi\) |
−0.250531 | + | 0.968109i | \(0.580605\pi\) | |||||||
\(830\) | 1.75921 | + | 0.571601i | 0.0610629 | + | 0.0198406i | ||||
\(831\) | −29.1659 | + | 24.0429i | −1.01175 | + | 0.834038i | ||||
\(832\) | 73.4421 | + | 5.78001i | 2.54615 | + | 0.200386i | ||||
\(833\) | 19.5461 | − | 11.9779i | 0.677231 | − | 0.415008i | ||||
\(834\) | 9.24674 | − | 2.05003i | 0.320189 | − | 0.0709866i | ||||
\(835\) | 0.630398 | − | 0.538411i | 0.0218158 | − | 0.0186325i | ||||
\(836\) | 9.02007 | + | 12.4151i | 0.311966 | + | 0.429384i | ||||
\(837\) | 22.8287 | + | 10.8881i | 0.789075 | + | 0.376348i | ||||
\(838\) | 4.71861 | + | 3.42827i | 0.163002 | + | 0.118428i | ||||
\(839\) | 3.63105 | + | 2.22511i | 0.125358 | + | 0.0768194i | 0.583764 | − | 0.811924i | \(-0.301579\pi\) |
−0.458406 | + | 0.888743i | \(0.651579\pi\) | |||||||
\(840\) | −1.06360 | − | 0.366217i | −0.0366976 | − | 0.0126357i | ||||
\(841\) | −28.6393 | − | 4.53602i | −0.987562 | − | 0.156415i | ||||
\(842\) | −48.6537 | + | 79.3956i | −1.67672 | + | 2.73615i | ||||
\(843\) | 1.10355 | − | 1.06571i | 0.0380084 | − | 0.0367048i | ||||
\(844\) | 19.7834 | − | 1.55698i | 0.680971 | − | 0.0535936i | ||||
\(845\) | 2.46900 | − | 1.79383i | 0.0849362 | − | 0.0617098i | ||||
\(846\) | −15.1152 | − | 40.4256i | −0.519672 | − | 1.38986i | ||||
\(847\) | 5.44642 | + | 13.1488i | 0.187141 | + | 0.451799i | ||||
\(848\) | −1.18953 | − | 1.94114i | −0.0408487 | − | 0.0666591i | ||||
\(849\) | −50.0483 | − | 12.9430i | −1.71765 | − | 0.444201i | ||||
\(850\) | −34.3386 | + | 40.2054i | −1.17781 | + | 1.37903i | ||||
\(851\) | −2.78400 | + | 8.56828i | −0.0954344 | + | 0.293717i | ||||
\(852\) | −62.1313 | + | 43.5055i | −2.12858 | + | 1.49047i | ||||
\(853\) | −10.2450 | − | 20.1070i | −0.350782 | − | 0.688449i | 0.646437 | − | 0.762967i | \(-0.276258\pi\) |
−0.997220 | + | 0.0745181i | \(0.976258\pi\) | |||||||
\(854\) | −2.21779 | + | 0.532445i | −0.0758912 | + | 0.0182199i | ||||
\(855\) | 1.76562 | + | 1.16860i | 0.0603829 | + | 0.0399653i | ||||
\(856\) | −4.19428 | − | 2.13709i | −0.143357 | − | 0.0730443i | ||||
\(857\) | −31.8018 | + | 10.3330i | −1.08633 | + | 0.352969i | −0.796826 | − | 0.604208i | \(-0.793489\pi\) |
−0.289501 | + | 0.957178i | \(0.593489\pi\) | |||||||
\(858\) | −19.5638 | − | 12.4633i | −0.667899 | − | 0.425491i | ||||
\(859\) | 2.67156 | + | 16.8675i | 0.0911523 | + | 0.575513i | 0.990417 | + | 0.138108i | \(0.0441023\pi\) |
−0.899265 | + | 0.437405i | \(0.855898\pi\) | |||||||
\(860\) | 4.23882 | 0.144542 | ||||||||
\(861\) | 14.4940 | + | 6.37734i | 0.493953 | + | 0.217339i | ||||
\(862\) | −1.19900 | −0.0408381 | ||||||||
\(863\) | −6.75184 | − | 42.6294i | −0.229835 | − | 1.45112i | −0.785059 | − | 0.619421i | \(-0.787367\pi\) |
0.555223 | − | 0.831701i | \(-0.312633\pi\) | |||||||
\(864\) | −17.0337 | − | 22.1977i | −0.579498 | − | 0.755181i | ||||
\(865\) | 2.89034 | − | 0.939128i | 0.0982745 | − | 0.0319313i | ||||
\(866\) | −59.5790 | − | 30.3570i | −2.02458 | − | 1.03157i | ||||
\(867\) | −3.00352 | + | 6.90777i | −0.102005 | + | 0.234600i | ||||
\(868\) | −22.2178 | + | 5.33401i | −0.754120 | + | 0.181048i | ||||
\(869\) | 0.129038 | + | 0.253251i | 0.00437730 | + | 0.00859094i | ||||
\(870\) | −0.0213393 | − | 0.0304752i | −0.000723470 | − | 0.00103321i | ||||
\(871\) | 18.0098 | − | 55.4286i | 0.610240 | − | 1.87813i | ||||
\(872\) | −35.1161 | + | 41.1156i | −1.18918 | + | 1.39235i | ||||
\(873\) | 9.48253 | + | 4.32127i | 0.320935 | + | 0.146253i | ||||
\(874\) | 38.1497 | + | 62.2547i | 1.29043 | + | 2.10580i | ||||
\(875\) | 0.837321 | + | 2.02147i | 0.0283066 | + | 0.0683382i | ||||
\(876\) | 38.8856 | + | 66.0135i | 1.31382 | + | 2.23039i | ||||
\(877\) | −15.3958 | + | 11.1857i | −0.519879 | + | 0.377714i | −0.816558 | − | 0.577263i | \(-0.804121\pi\) |
0.296679 | + | 0.954977i | \(0.404121\pi\) | |||||||
\(878\) | 38.8007 | − | 3.05368i | 1.30946 | − | 0.103057i | ||||
\(879\) | −13.7332 | − | 14.2209i | −0.463208 | − | 0.479659i | ||||
\(880\) | −0.0190625 | + | 0.0311072i | −0.000642597 | + | 0.00104862i | ||||
\(881\) | 7.70912 | + | 1.22100i | 0.259727 | + | 0.0411367i | 0.284940 | − | 0.958545i | \(-0.408026\pi\) |
−0.0252130 | + | 0.999682i | \(0.508026\pi\) | |||||||
\(882\) | −16.5929 | + | 29.9354i | −0.558712 | + | 1.00798i | ||||
\(883\) | 14.6973 | + | 9.00651i | 0.494603 | + | 0.303093i | 0.747340 | − | 0.664442i | \(-0.231331\pi\) |
−0.252737 | + | 0.967535i | \(0.581331\pi\) | |||||||
\(884\) | 70.4578 | + | 51.1906i | 2.36975 | + | 1.72173i | ||||
\(885\) | −0.0332278 | + | 0.345111i | −0.00111694 | + | 0.0116008i | ||||
\(886\) | −11.5414 | − | 15.8853i | −0.387739 | − | 0.533677i | ||||
\(887\) | 16.5267 | − | 14.1151i | 0.554911 | − | 0.473939i | −0.327217 | − | 0.944949i | \(-0.606111\pi\) |
0.882127 | + | 0.471011i | \(0.156111\pi\) | |||||||
\(888\) | 1.44726 | + | 6.52793i | 0.0485668 | + | 0.219063i | ||||
\(889\) | −22.7428 | + | 13.9368i | −0.762768 | + | 0.467425i | ||||
\(890\) | 4.81635 | + | 0.379055i | 0.161444 | + | 0.0127059i | ||||
\(891\) | 1.50929 | + | 9.01747i | 0.0505630 | + | 0.302097i | ||||
\(892\) | −41.3145 | − | 13.4239i | −1.38331 | − | 0.449465i | ||||
\(893\) | −20.3259 | − | 20.3259i | −0.680182 | − | 0.680182i | ||||
\(894\) | −17.8007 | + | 5.44238i | −0.595346 | + | 0.182020i | ||||
\(895\) | −0.424393 | − | 1.76772i | −0.0141859 | − | 0.0590885i | ||||
\(896\) | 26.0716 | + | 6.25924i | 0.870991 | + | 0.209106i | ||||
\(897\) | −54.8046 | − | 41.2976i | −1.82987 | − | 1.37889i | ||||
\(898\) | −12.4983 | − | 38.4657i | −0.417073 | − | 1.28362i | ||||
\(899\) | −0.273461 | − | 0.113271i | −0.00912043 | − | 0.00377781i | ||||
\(900\) | 9.36485 | − | 48.1818i | 0.312162 | − | 1.60606i | ||||
\(901\) | 44.9925i | 1.49892i | ||||||||
\(902\) | 8.84471 | − | 12.0627i | 0.294497 | − | 0.401644i | ||||
\(903\) | −3.60419 | + | 20.4413i | −0.119940 | + | 0.680243i | ||||
\(904\) | −33.2095 | + | 5.25987i | −1.10453 | + | 0.174941i | ||||
\(905\) | −0.918180 | + | 2.21668i | −0.0305213 | + | 0.0736850i | ||||
\(906\) | 9.82813 | − | 1.38133i | 0.326518 | − | 0.0458916i | ||||
\(907\) | −11.5393 | + | 22.6472i | −0.383158 | + | 0.751989i | −0.999366 | − | 0.0355937i | \(-0.988668\pi\) |
0.616209 | + | 0.787583i | \(0.288668\pi\) | |||||||
\(908\) | −10.4026 | + | 43.3300i | −0.345223 | + | 1.43796i | ||||
\(909\) | 2.47355 | − | 21.7130i | 0.0820426 | − | 0.720174i | ||||
\(910\) | 2.57620 | − | 1.31264i | 0.0854002 | − | 0.0435136i | ||||
\(911\) | −17.5413 | + | 17.5413i | −0.581171 | + | 0.581171i | −0.935225 | − | 0.354054i | \(-0.884803\pi\) |
0.354054 | + | 0.935225i | \(0.384803\pi\) | |||||||
\(912\) | 1.64281 | + | 0.873480i | 0.0543988 | + | 0.0289238i | ||||
\(913\) | 4.04527 | + | 3.45499i | 0.133879 | + | 0.114343i | ||||
\(914\) | −3.78745 | + | 48.1241i | −0.125278 | + | 1.59180i | ||||
\(915\) | 0.0677406 | + | 0.171966i | 0.00223943 | + | 0.00568501i | ||||
\(916\) | 25.6136 | − | 10.6095i | 0.846298 | − | 0.350548i | ||||
\(917\) | 7.52608 | + | 8.81191i | 0.248533 | + | 0.290995i | ||||
\(918\) | −5.77208 | − | 54.9058i | −0.190507 | − | 1.81216i | ||||
\(919\) | 0.459728 | + | 5.84140i | 0.0151650 | + | 0.192690i | 0.999833 | + | 0.0182532i | \(0.00581049\pi\) |
−0.984668 | + | 0.174437i | \(0.944190\pi\) | |||||||
\(920\) | −1.84765 | + | 2.54307i | −0.0609153 | + | 0.0838427i | ||||
\(921\) | −10.6279 | − | 9.40261i | −0.350201 | − | 0.309827i | ||||
\(922\) | 2.57734 | − | 16.2727i | 0.0848803 | − | 0.535913i | ||||
\(923\) | 11.9456 | − | 75.4213i | 0.393193 | − | 2.48252i | ||||
\(924\) | −6.18620 | − | 5.47300i | −0.203511 | − | 0.180049i | ||||
\(925\) | 3.81330 | − | 5.24856i | 0.125381 | − | 0.172572i | ||||
\(926\) | −2.28069 | − | 28.9790i | −0.0749482 | − | 0.952307i | ||||
\(927\) | −6.26140 | − | 21.8349i | −0.205651 | − | 0.717151i | ||||
\(928\) | 0.212660 | + | 0.248992i | 0.00698089 | + | 0.00817358i | ||||
\(929\) | −17.7419 | + | 7.34895i | −0.582094 | + | 0.241111i | −0.654245 | − | 0.756282i | \(-0.727014\pi\) |
0.0721510 | + | 0.997394i | \(0.477014\pi\) | |||||||
\(930\) | 1.09144 | + | 2.77073i | 0.0357898 | + | 0.0908557i | ||||
\(931\) | −1.78855 | + | 22.7256i | −0.0586172 | + | 0.744802i | ||||
\(932\) | 36.7639 | + | 31.3993i | 1.20424 | + | 1.02852i | ||||
\(933\) | 4.92576 | + | 2.61902i | 0.161262 | + | 0.0857430i | ||||
\(934\) | 15.3291 | − | 15.3291i | 0.501583 | − | 0.501583i | ||||
\(935\) | 0.642429 | − | 0.327334i | 0.0210097 | − | 0.0107050i | ||||
\(936\) | −50.6026 | − | 5.76467i | −1.65400 | − | 0.188424i | ||||
\(937\) | −6.08262 | + | 25.3359i | −0.198710 | + | 0.827688i | 0.780552 | + | 0.625091i | \(0.214938\pi\) |
−0.979262 | + | 0.202597i | \(0.935062\pi\) | |||||||
\(938\) | 15.1526 | − | 29.7387i | 0.494751 | − | 0.971004i | ||||
\(939\) | −4.90716 | + | 0.689694i | −0.160139 | + | 0.0225073i | ||||
\(940\) | 1.20912 | − | 2.91906i | 0.0394370 | − | 0.0952094i | ||||
\(941\) | 22.8268 | − | 3.61542i | 0.744134 | − | 0.117859i | 0.227156 | − | 0.973858i | \(-0.427057\pi\) |
0.516977 | + | 0.855999i | \(0.327057\pi\) | |||||||
\(942\) | −0.493808 | + | 2.80065i | −0.0160891 | + | 0.0912500i | ||||
\(943\) | 28.8845 | − | 33.5222i | 0.940609 | − | 1.09163i | ||||
\(944\) | 0.304668i | 0.00991608i | ||||||||
\(945\) | −1.06394 | − | 0.408379i | −0.0346098 | − | 0.0132846i | ||||
\(946\) | 18.1144 | + | 7.50323i | 0.588950 | + | 0.243951i | ||||
\(947\) | −3.10042 | − | 9.54210i | −0.100750 | − | 0.310076i | 0.887960 | − | 0.459922i | \(-0.152122\pi\) |
−0.988709 | + | 0.149845i | \(0.952122\pi\) | |||||||
\(948\) | 1.27244 | + | 0.958839i | 0.0413270 | + | 0.0311417i | ||||
\(949\) | −75.0018 | − | 18.0063i | −2.43466 | − | 0.584510i | ||||
\(950\) | −12.2740 | − | 51.1250i | −0.398222 | − | 1.65871i | ||||
\(951\) | −25.3328 | + | 7.74521i | −0.821471 | + | 0.251156i | ||||
\(952\) | 13.8135 | + | 13.8135i | 0.447697 | + | 0.447697i | ||||
\(953\) | 20.1590 | + | 6.55007i | 0.653015 | + | 0.212178i | 0.616743 | − | 0.787164i | \(-0.288452\pi\) |
0.0362722 | + | 0.999342i | \(0.488452\pi\) | |||||||
\(954\) | −33.0796 | − | 58.4659i | −1.07099 | − | 1.89290i | ||||
\(955\) | 3.26725 | + | 0.257138i | 0.105726 | + | 0.00832080i | ||||
\(956\) | −9.86128 | + | 6.04300i | −0.318937 | + | 0.195445i | ||||
\(957\) | −0.0231594 | − | 0.104462i | −0.000748637 | − | 0.00337677i | ||||
\(958\) | −0.217898 | + | 0.186102i | −0.00703995 | + | 0.00601269i | ||||
\(959\) | −5.48384 | − | 7.54786i | −0.177082 | − | 0.243733i | ||||
\(960\) | 0.327654 | − | 3.40308i | 0.0105750 | − | 0.109834i | ||||
\(961\) | −5.91182 | − | 4.29519i | −0.190704 | − | 0.138554i | ||||
\(962\) | −14.6539 | − | 8.97992i | −0.472461 | − | 0.289524i | ||||
\(963\) | −4.17113 | − | 2.31201i | −0.134413 | − | 0.0745036i | ||||
\(964\) | 21.0612 | + | 3.33577i | 0.678336 | + | 0.107438i | ||||
\(965\) | 0.365780 | − | 0.596899i | 0.0117749 | − | 0.0192149i | ||||
\(966\) | −27.2995 | − | 28.2690i | −0.878347 | − | 0.909541i | ||||
\(967\) | 24.2487 | − | 1.90842i | 0.779787 | − | 0.0613706i | 0.317684 | − | 0.948197i | \(-0.397095\pi\) |
0.462103 | + | 0.886826i | \(0.347095\pi\) | |||||||
\(968\) | 23.8799 | − | 17.3497i | 0.767528 | − | 0.557642i | ||||
\(969\) | −18.6626 | − | 31.6823i | −0.599531 | − | 1.01778i | ||||
\(970\) | 0.469534 | + | 1.13355i | 0.0150758 | + | 0.0363962i | ||||
\(971\) | −4.97071 | − | 8.11145i | −0.159518 | − | 0.260309i | 0.762889 | − | 0.646530i | \(-0.223780\pi\) |
−0.922406 | + | 0.386221i | \(0.873780\pi\) | |||||||
\(972\) | 29.7631 | + | 41.7231i | 0.954653 | + | 1.33827i | ||||
\(973\) | −2.20506 | + | 2.58179i | −0.0706909 | + | 0.0827684i | ||||
\(974\) | 4.61483 | − | 14.2030i | 0.147869 | − | 0.455093i | ||||
\(975\) | 28.3437 | + | 40.4784i | 0.907726 | + | 1.29635i | ||||
\(976\) | 0.0737353 | + | 0.144714i | 0.00236021 | + | 0.00463217i | ||||
\(977\) | −22.1134 | + | 5.30895i | −0.707470 | + | 0.169848i | −0.571185 | − | 0.820821i | \(-0.693516\pi\) |
−0.136284 | + | 0.990670i | \(0.543516\pi\) | |||||||
\(978\) | −24.2394 | + | 55.7479i | −0.775090 | + | 1.78262i | ||||
\(979\) | 12.3803 | + | 6.30808i | 0.395676 | + | 0.201607i | ||||
\(980\) | −2.38301 | + | 0.774287i | −0.0761225 | + | 0.0247337i | ||||
\(981\) | −37.0077 | + | 40.3881i | −1.18157 | + | 1.28949i | ||||
\(982\) | −0.368540 | − | 2.32687i | −0.0117606 | − | 0.0742534i | ||||
\(983\) | 38.0993 | 1.21518 | 0.607589 | − | 0.794251i | \(-0.292137\pi\) | ||||
0.607589 | + | 0.794251i | \(0.292137\pi\) | |||||||
\(984\) | 5.84360 | − | 32.3171i | 0.186287 | − | 1.03023i | ||||
\(985\) | −0.677294 | −0.0215804 | ||||||||
\(986\) | 0.101072 | + | 0.638141i | 0.00321877 | + | 0.0203225i | ||||
\(987\) | 13.0488 | + | 8.31286i | 0.415348 | + | 0.264601i | ||||
\(988\) | −82.3646 | + | 26.7619i | −2.62037 | + | 0.851409i | ||||
\(989\) | 51.6812 | + | 26.3329i | 1.64337 | + | 0.837337i | ||||
\(990\) | −0.594146 | + | 0.897685i | −0.0188832 | + | 0.0285303i | ||||
\(991\) | −0.938760 | + | 0.225376i | −0.0298207 | + | 0.00715931i | −0.248328 | − | 0.968676i | \(-0.579881\pi\) |
0.218508 | + | 0.975835i | \(0.429881\pi\) | |||||||
\(992\) | −11.8993 | − | 23.3536i | −0.377802 | − | 0.741478i | ||||
\(993\) | 11.2231 | − | 7.85865i | 0.356155 | − | 0.249387i | ||||
\(994\) | 13.5136 | − | 41.5905i | 0.428625 | − | 1.31917i | ||||
\(995\) | −1.43637 | + | 1.68178i | −0.0455361 | + | 0.0533159i | ||||
\(996\) | 28.8710 | + | 7.46632i | 0.914813 | + | 0.236580i | ||||
\(997\) | 9.51221 | + | 15.5225i | 0.301255 | + | 0.491603i | 0.967069 | − | 0.254515i | \(-0.0819157\pi\) |
−0.665814 | + | 0.746118i | \(0.731916\pi\) | |||||||
\(998\) | −15.1463 | − | 36.5664i | −0.479448 | − | 1.15749i | ||||
\(999\) | 1.23462 | + | 6.66060i | 0.0390618 | + | 0.210732i |
(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 | 123.2.o.a.11.11 | yes | 192 | |
3.2 | odd | 2 | inner | 123.2.o.a.11.2 | ✓ | 192 | |
41.15 | odd | 40 | inner | 123.2.o.a.56.2 | yes | 192 | |
123.56 | even | 40 | inner | 123.2.o.a.56.11 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
123.2.o.a.11.2 | ✓ | 192 | 3.2 | odd | 2 | inner | |
123.2.o.a.11.11 | yes | 192 | 1.1 | even | 1 | trivial | |
123.2.o.a.56.2 | yes | 192 | 41.15 | odd | 40 | inner | |
123.2.o.a.56.11 | yes | 192 | 123.56 | even | 40 | inner |