Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [192,2,Mod(13,192)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(192, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 15, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("192.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 192 = 2^{6} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 192.r (of order \(16\), degree \(8\), 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: | \(1.53312771881\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 13.13 | ||
Character | \(\chi\) | \(=\) | 192.13 |
Dual form | 192.2.r.a.133.13 |
$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(133\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.929504 | + | 1.06584i | 0.657259 | + | 0.753665i | ||||
\(3\) | −0.831470 | + | 0.555570i | −0.480049 | + | 0.320759i | ||||
\(4\) | −0.272044 | + | 1.98141i | −0.136022 | + | 0.990706i | ||||
\(5\) | −4.03340 | + | 0.802293i | −1.80379 | + | 0.358797i | −0.978554 | − | 0.205989i | \(-0.933959\pi\) |
−0.825238 | + | 0.564786i | \(0.808959\pi\) | |||||||
\(6\) | −1.36501 | − | 0.369811i | −0.557261 | − | 0.150975i | ||||
\(7\) | −0.0612023 | − | 0.147755i | −0.0231323 | − | 0.0558463i | 0.911891 | − | 0.410432i | \(-0.134622\pi\) |
−0.935024 | + | 0.354585i | \(0.884622\pi\) | |||||||
\(8\) | −2.36474 | + | 1.55177i | −0.836062 | + | 0.548635i | ||||
\(9\) | 0.382683 | − | 0.923880i | 0.127561 | − | 0.307960i | ||||
\(10\) | −4.60418 | − | 3.55324i | −1.45597 | − | 1.12363i | ||||
\(11\) | −0.294415 | + | 0.440623i | −0.0887694 | + | 0.132853i | −0.873197 | − | 0.487368i | \(-0.837957\pi\) |
0.784427 | + | 0.620221i | \(0.212957\pi\) | |||||||
\(12\) | −0.874617 | − | 1.79862i | −0.252480 | − | 0.519218i | ||||
\(13\) | 4.43463 | + | 0.882103i | 1.22995 | + | 0.244651i | 0.766948 | − | 0.641709i | \(-0.221774\pi\) |
0.462997 | + | 0.886360i | \(0.346774\pi\) | |||||||
\(14\) | 0.100596 | − | 0.202571i | 0.0268855 | − | 0.0541395i | ||||
\(15\) | 2.90792 | − | 2.90792i | 0.750822 | − | 0.750822i | ||||
\(16\) | −3.85198 | − | 1.07806i | −0.962996 | − | 0.269515i | ||||
\(17\) | 4.35026 | + | 4.35026i | 1.05509 | + | 1.05509i | 0.998391 | + | 0.0567015i | \(0.0180583\pi\) |
0.0567015 | + | 0.998391i | \(0.481942\pi\) | |||||||
\(18\) | 1.34042 | − | 0.450869i | 0.315939 | − | 0.106271i | ||||
\(19\) | −1.57072 | + | 7.89653i | −0.360347 | + | 1.81159i | 0.195959 | + | 0.980612i | \(0.437218\pi\) |
−0.556307 | + | 0.830977i | \(0.687782\pi\) | |||||||
\(20\) | −0.492413 | − | 8.21009i | −0.110107 | − | 1.83583i | ||||
\(21\) | 0.132976 | + | 0.0888519i | 0.0290178 | + | 0.0193891i | ||||
\(22\) | −0.743295 | + | 0.0957609i | −0.158471 | + | 0.0204163i | ||||
\(23\) | −4.54457 | − | 1.88242i | −0.947608 | − | 0.392512i | −0.145277 | − | 0.989391i | \(-0.546407\pi\) |
−0.802331 | + | 0.596879i | \(0.796407\pi\) | |||||||
\(24\) | 1.10409 | − | 2.60403i | 0.225371 | − | 0.531546i | ||||
\(25\) | 11.0053 | − | 4.55853i | 2.20105 | − | 0.911705i | ||||
\(26\) | 3.18182 | + | 5.54654i | 0.624007 | + | 1.08777i | ||||
\(27\) | 0.195090 | + | 0.980785i | 0.0375451 | + | 0.188752i | ||||
\(28\) | 0.309414 | − | 0.0810710i | 0.0584737 | − | 0.0153210i | ||||
\(29\) | −0.558645 | − | 0.836071i | −0.103738 | − | 0.155254i | 0.775969 | − | 0.630771i | \(-0.217261\pi\) |
−0.879707 | + | 0.475516i | \(0.842261\pi\) | |||||||
\(30\) | 5.80231 | + | 0.396463i | 1.05935 | + | 0.0723839i | ||||
\(31\) | − | 0.971497i | − | 0.174486i | −0.996187 | − | 0.0872430i | \(-0.972194\pi\) | ||
0.996187 | − | 0.0872430i | \(-0.0278057\pi\) | |||||||
\(32\) | −2.43139 | − | 5.10767i | −0.429814 | − | 0.902918i | ||||
\(33\) | − | 0.529933i | − | 0.0922495i | ||||||
\(34\) | −0.593110 | + | 8.68028i | −0.101717 | + | 1.48866i | ||||
\(35\) | 0.365397 | + | 0.546855i | 0.0617633 | + | 0.0924353i | ||||
\(36\) | 1.72648 | + | 1.00959i | 0.287747 | + | 0.168265i | ||||
\(37\) | −0.153493 | − | 0.771661i | −0.0252341 | − | 0.126860i | 0.966115 | − | 0.258112i | \(-0.0831004\pi\) |
−0.991349 | + | 0.131252i | \(0.958100\pi\) | |||||||
\(38\) | −9.87646 | + | 5.66572i | −1.60217 | + | 0.919102i | ||||
\(39\) | −4.17733 | + | 1.73031i | −0.668908 | + | 0.277071i | ||||
\(40\) | 8.29297 | − | 8.15615i | 1.31123 | − | 1.28960i | ||||
\(41\) | 4.03464 | + | 1.67120i | 0.630104 | + | 0.260998i | 0.674797 | − | 0.738003i | \(-0.264231\pi\) |
−0.0446932 | + | 0.999001i | \(0.514231\pi\) | |||||||
\(42\) | 0.0288998 | + | 0.224320i | 0.00445934 | + | 0.0346134i | ||||
\(43\) | −5.11173 | − | 3.41555i | −0.779532 | − | 0.520867i | 0.100981 | − | 0.994888i | \(-0.467802\pi\) |
−0.880513 | + | 0.474022i | \(0.842802\pi\) | |||||||
\(44\) | −0.792962 | − | 0.703226i | −0.119543 | − | 0.106015i | ||||
\(45\) | −0.802293 | + | 4.03340i | −0.119599 | + | 0.601264i | ||||
\(46\) | −2.21783 | − | 6.59352i | −0.327001 | − | 0.972161i | ||||
\(47\) | −0.409517 | − | 0.409517i | −0.0597341 | − | 0.0597341i | 0.676609 | − | 0.736343i | \(-0.263449\pi\) |
−0.736343 | + | 0.676609i | \(0.763449\pi\) | |||||||
\(48\) | 3.80175 | − | 1.24367i | 0.548735 | − | 0.179509i | ||||
\(49\) | 4.93166 | − | 4.93166i | 0.704523 | − | 0.704523i | ||||
\(50\) | 15.0881 | + | 7.49271i | 2.13378 | + | 1.05963i | ||||
\(51\) | −6.03398 | − | 1.20023i | −0.844926 | − | 0.168066i | ||||
\(52\) | −2.95422 | + | 8.54686i | −0.409677 | + | 1.18524i | ||||
\(53\) | −1.55137 | + | 2.32179i | −0.213098 | + | 0.318923i | −0.922584 | − | 0.385796i | \(-0.873927\pi\) |
0.709487 | + | 0.704719i | \(0.248927\pi\) | |||||||
\(54\) | −0.864026 | + | 1.11958i | −0.117579 | + | 0.152356i | ||||
\(55\) | 0.833984 | − | 2.01342i | 0.112454 | − | 0.271489i | ||||
\(56\) | 0.374011 | + | 0.254431i | 0.0499793 | + | 0.0339998i | ||||
\(57\) | −3.08107 | − | 7.43837i | −0.408098 | − | 0.985237i | ||||
\(58\) | 0.371858 | − | 1.37256i | 0.0488273 | − | 0.180226i | ||||
\(59\) | 7.20772 | − | 1.43370i | 0.938365 | − | 0.186652i | 0.297863 | − | 0.954609i | \(-0.403726\pi\) |
0.640502 | + | 0.767956i | \(0.278726\pi\) | |||||||
\(60\) | 4.97071 | + | 6.55287i | 0.641715 | + | 0.845972i | ||||
\(61\) | 3.19336 | − | 2.13373i | 0.408868 | − | 0.273197i | −0.334082 | − | 0.942544i | \(-0.608426\pi\) |
0.742950 | + | 0.669347i | \(0.233426\pi\) | |||||||
\(62\) | 1.03546 | − | 0.903010i | 0.131504 | − | 0.114682i | ||||
\(63\) | −0.159929 | −0.0201492 | ||||||||
\(64\) | 3.18399 | − | 7.33909i | 0.397999 | − | 0.917386i | ||||
\(65\) | −18.5943 | −2.30634 | ||||||||
\(66\) | 0.564825 | − | 0.492575i | 0.0695252 | − | 0.0606318i | ||||
\(67\) | 10.2146 | − | 6.82514i | 1.24791 | − | 0.833824i | 0.256744 | − | 0.966480i | \(-0.417350\pi\) |
0.991162 | + | 0.132655i | \(0.0423504\pi\) | |||||||
\(68\) | −9.80311 | + | 7.43619i | −1.18880 | + | 0.901771i | ||||
\(69\) | 4.82449 | − | 0.959650i | 0.580800 | − | 0.115528i | ||||
\(70\) | −0.243224 | + | 0.897759i | −0.0290708 | + | 0.107303i | ||||
\(71\) | 3.81060 | + | 9.19961i | 0.452235 | + | 1.09179i | 0.971470 | + | 0.237161i | \(0.0762169\pi\) |
−0.519235 | + | 0.854632i | \(0.673783\pi\) | |||||||
\(72\) | 0.528706 | + | 2.77857i | 0.0623086 | + | 0.327458i | ||||
\(73\) | −5.05384 | + | 12.2011i | −0.591507 | + | 1.42803i | 0.290539 | + | 0.956863i | \(0.406165\pi\) |
−0.882047 | + | 0.471162i | \(0.843835\pi\) | |||||||
\(74\) | 0.679798 | − | 0.880862i | 0.0790249 | − | 0.102398i | ||||
\(75\) | −6.61795 | + | 9.90447i | −0.764175 | + | 1.14367i | ||||
\(76\) | −15.2190 | − | 5.26044i | −1.74574 | − | 0.603414i | ||||
\(77\) | 0.0831233 | + | 0.0165342i | 0.00947278 | + | 0.00188425i | ||||
\(78\) | −5.72708 | − | 2.84405i | −0.648464 | − | 0.322025i | ||||
\(79\) | −1.43481 | + | 1.43481i | −0.161429 | + | 0.161429i | −0.783199 | − | 0.621771i | \(-0.786414\pi\) |
0.621771 | + | 0.783199i | \(0.286414\pi\) | |||||||
\(80\) | 16.4015 | + | 1.25783i | 1.83375 | + | 0.140630i | ||||
\(81\) | −0.707107 | − | 0.707107i | −0.0785674 | − | 0.0785674i | ||||
\(82\) | 1.96897 | + | 5.85368i | 0.217437 | + | 0.646430i | ||||
\(83\) | −1.31569 | + | 6.61440i | −0.144415 | + | 0.726025i | 0.838925 | + | 0.544248i | \(0.183185\pi\) |
−0.983340 | + | 0.181777i | \(0.941815\pi\) | |||||||
\(84\) | −0.212228 | + | 0.239309i | −0.0231559 | + | 0.0261108i | ||||
\(85\) | −21.0365 | − | 14.0562i | −2.28173 | − | 1.52460i | ||||
\(86\) | −1.11094 | − | 8.62308i | −0.119795 | − | 0.929850i | ||||
\(87\) | 0.928992 | + | 0.384801i | 0.0995984 | + | 0.0412550i | ||||
\(88\) | 0.0124669 | − | 1.49882i | 0.00132898 | − | 0.159775i | ||||
\(89\) | 8.40267 | − | 3.48050i | 0.890681 | − | 0.368932i | 0.110052 | − | 0.993926i | \(-0.464898\pi\) |
0.780630 | + | 0.624994i | \(0.214898\pi\) | |||||||
\(90\) | −5.04471 | + | 2.89394i | −0.531759 | + | 0.305049i | ||||
\(91\) | −0.141074 | − | 0.709227i | −0.0147886 | − | 0.0743472i | ||||
\(92\) | 4.96617 | − | 8.49256i | 0.517759 | − | 0.885410i | ||||
\(93\) | 0.539735 | + | 0.807770i | 0.0559679 | + | 0.0837618i | ||||
\(94\) | 0.0558331 | − | 0.817128i | 0.00575874 | − | 0.0842803i | ||||
\(95\) | − | 33.1101i | − | 3.39702i | ||||||
\(96\) | 4.85930 | + | 2.89607i | 0.495950 | + | 0.295579i | ||||
\(97\) | − | 1.21732i | − | 0.123600i | −0.998089 | − | 0.0617999i | \(-0.980316\pi\) | ||
0.998089 | − | 0.0617999i | \(-0.0196840\pi\) | |||||||
\(98\) | 9.84038 | + | 0.672378i | 0.994028 | + | 0.0679204i | ||||
\(99\) | 0.294415 | + | 0.440623i | 0.0295898 | + | 0.0442843i | ||||
\(100\) | 6.03841 | + | 23.0461i | 0.603841 | + | 2.30461i | ||||
\(101\) | −0.903088 | − | 4.54013i | −0.0898606 | − | 0.451760i | −0.999351 | − | 0.0360338i | \(-0.988528\pi\) |
0.909490 | − | 0.415726i | \(-0.136472\pi\) | |||||||
\(102\) | −4.32935 | − | 7.54690i | −0.428670 | − | 0.747255i | ||||
\(103\) | −12.2443 | + | 5.07177i | −1.20647 | + | 0.499736i | −0.893084 | − | 0.449890i | \(-0.851463\pi\) |
−0.313386 | + | 0.949626i | \(0.601463\pi\) | |||||||
\(104\) | −11.8556 | + | 4.79560i | −1.16253 | + | 0.470248i | ||||
\(105\) | −0.607632 | − | 0.251690i | −0.0592988 | − | 0.0245624i | ||||
\(106\) | −3.91668 | + | 0.504597i | −0.380421 | + | 0.0490108i | ||||
\(107\) | −8.83634 | − | 5.90426i | −0.854242 | − | 0.570786i | 0.0495438 | − | 0.998772i | \(-0.484223\pi\) |
−0.903785 | + | 0.427986i | \(0.859223\pi\) | |||||||
\(108\) | −1.99641 | + | 0.119738i | −0.192105 | + | 0.0115218i | ||||
\(109\) | −1.10574 | + | 5.55892i | −0.105910 | + | 0.532448i | 0.891007 | + | 0.453990i | \(0.150000\pi\) |
−0.996917 | + | 0.0784581i | \(0.975000\pi\) | |||||||
\(110\) | 2.92118 | − | 0.982583i | 0.278523 | − | 0.0936856i | ||||
\(111\) | 0.556337 | + | 0.556337i | 0.0528052 | + | 0.0528052i | ||||
\(112\) | 0.0764610 | + | 0.635131i | 0.00722488 | + | 0.0600143i | ||||
\(113\) | −4.55586 | + | 4.55586i | −0.428579 | + | 0.428579i | −0.888144 | − | 0.459565i | \(-0.848005\pi\) |
0.459565 | + | 0.888144i | \(0.348005\pi\) | |||||||
\(114\) | 5.06427 | − | 10.1979i | 0.474312 | − | 0.955125i | ||||
\(115\) | 19.8403 | + | 3.94648i | 1.85012 | + | 0.368012i | ||||
\(116\) | 1.80858 | − | 0.879457i | 0.167922 | − | 0.0816556i | ||||
\(117\) | 2.51202 | − | 3.75950i | 0.232236 | − | 0.347566i | ||||
\(118\) | 8.22771 | + | 6.34966i | 0.757422 | + | 0.584534i | ||||
\(119\) | 0.376528 | − | 0.909020i | 0.0345163 | − | 0.0833297i | ||||
\(120\) | −2.36404 | + | 11.3889i | −0.215806 | + | 1.03966i | ||||
\(121\) | 4.10205 | + | 9.90322i | 0.372914 | + | 0.900293i | ||||
\(122\) | 5.24247 | + | 1.42030i | 0.474631 | + | 0.128588i | ||||
\(123\) | −4.28315 | + | 0.851971i | −0.386198 | + | 0.0768196i | ||||
\(124\) | 1.92493 | + | 0.264289i | 0.172864 | + | 0.0237339i | ||||
\(125\) | −23.6346 | + | 15.7921i | −2.11394 | + | 1.41249i | ||||
\(126\) | −0.148655 | − | 0.170460i | −0.0132432 | − | 0.0151857i | ||||
\(127\) | −7.96147 | −0.706467 | −0.353233 | − | 0.935535i | \(-0.614918\pi\) | ||||
−0.353233 | + | 0.935535i | \(0.614918\pi\) | |||||||
\(128\) | 10.7818 | − | 3.42808i | 0.952990 | − | 0.303002i | ||||
\(129\) | 6.14783 | 0.541286 | ||||||||
\(130\) | −17.2835 | − | 19.8187i | −1.51587 | − | 1.73821i | ||||
\(131\) | −0.738840 | + | 0.493677i | −0.0645528 | + | 0.0431328i | −0.587428 | − | 0.809277i | \(-0.699859\pi\) |
0.522875 | + | 0.852409i | \(0.324859\pi\) | |||||||
\(132\) | 1.05001 | + | 0.144165i | 0.0913921 | + | 0.0125479i | ||||
\(133\) | 1.26289 | − | 0.251204i | 0.109506 | − | 0.0217821i | ||||
\(134\) | 16.7690 | + | 4.54311i | 1.44862 | + | 0.392465i | ||||
\(135\) | −1.57376 | − | 3.79938i | −0.135447 | − | 0.326999i | ||||
\(136\) | −17.0379 | − | 3.53661i | −1.46098 | − | 0.303262i | ||||
\(137\) | 4.85900 | − | 11.7307i | 0.415133 | − | 1.00222i | −0.568606 | − | 0.822610i | \(-0.692517\pi\) |
0.983738 | − | 0.179608i | \(-0.0574830\pi\) | |||||||
\(138\) | 5.50722 | + | 4.25015i | 0.468806 | + | 0.361797i | ||||
\(139\) | −4.39048 | + | 6.57082i | −0.372396 | + | 0.557330i | −0.969580 | − | 0.244774i | \(-0.921286\pi\) |
0.597184 | + | 0.802104i | \(0.296286\pi\) | |||||||
\(140\) | −1.18295 | + | 0.575233i | −0.0999773 | + | 0.0486160i | ||||
\(141\) | 0.568016 | + | 0.112985i | 0.0478356 | + | 0.00951509i | ||||
\(142\) | −6.26337 | + | 12.6126i | −0.525610 | + | 1.05842i | ||||
\(143\) | −1.69430 | + | 1.69430i | −0.141684 | + | 0.141684i | ||||
\(144\) | −2.47009 | + | 3.14621i | −0.205841 | + | 0.262184i | ||||
\(145\) | 2.92401 | + | 2.92401i | 0.242826 | + | 0.242826i | ||||
\(146\) | −17.7020 | + | 5.95433i | −1.46503 | + | 0.492784i | ||||
\(147\) | −1.36064 | + | 6.84041i | −0.112224 | + | 0.564188i | ||||
\(148\) | 1.57074 | − | 0.0942073i | 0.129114 | − | 0.00774379i | ||||
\(149\) | 9.54742 | + | 6.37938i | 0.782155 | + | 0.522620i | 0.881359 | − | 0.472448i | \(-0.156629\pi\) |
−0.0992033 | + | 0.995067i | \(0.531629\pi\) | |||||||
\(150\) | −16.7080 | + | 2.15254i | −1.36420 | + | 0.175754i | ||||
\(151\) | 12.7205 | + | 5.26900i | 1.03518 | + | 0.428785i | 0.834579 | − | 0.550888i | \(-0.185711\pi\) |
0.200599 | + | 0.979673i | \(0.435711\pi\) | |||||||
\(152\) | −8.53930 | − | 21.1107i | −0.692629 | − | 1.71230i | ||||
\(153\) | 5.68389 | − | 2.35434i | 0.459515 | − | 0.190337i | ||||
\(154\) | 0.0596405 | + | 0.103965i | 0.00480597 | + | 0.00837774i | ||||
\(155\) | 0.779425 | + | 3.91844i | 0.0626050 | + | 0.314736i | ||||
\(156\) | −2.29203 | − | 8.74773i | −0.183510 | − | 0.700379i | ||||
\(157\) | 2.05329 | + | 3.07297i | 0.163871 | + | 0.245250i | 0.904313 | − | 0.426870i | \(-0.140384\pi\) |
−0.740442 | + | 0.672120i | \(0.765384\pi\) | |||||||
\(158\) | −2.86295 | − | 0.195621i | −0.227764 | − | 0.0155627i | ||||
\(159\) | − | 2.79240i | − | 0.221452i | ||||||
\(160\) | 13.9046 | + | 18.6506i | 1.09926 | + | 1.47446i | ||||
\(161\) | 0.786693i | 0.0620001i | ||||||||
\(162\) | 0.0964062 | − | 1.41092i | 0.00757439 | − | 0.110853i | ||||
\(163\) | 0.123694 | + | 0.185121i | 0.00968844 | + | 0.0144998i | 0.836282 | − | 0.548299i | \(-0.184725\pi\) |
−0.826594 | + | 0.562799i | \(0.809725\pi\) | |||||||
\(164\) | −4.40893 | + | 7.53963i | −0.344280 | + | 0.588747i | ||||
\(165\) | 0.425162 | + | 2.13743i | 0.0330988 | + | 0.166399i | ||||
\(166\) | −8.27285 | + | 4.74580i | −0.642097 | + | 0.368345i | ||||
\(167\) | 15.5057 | − | 6.42268i | 1.19987 | − | 0.497002i | 0.308912 | − | 0.951091i | \(-0.400035\pi\) |
0.890956 | + | 0.454089i | \(0.150035\pi\) | |||||||
\(168\) | −0.452333 | − | 0.00376242i | −0.0348982 | − | 0.000290277i | ||||
\(169\) | 6.87740 | + | 2.84871i | 0.529031 | + | 0.219132i | ||||
\(170\) | −4.57188 | − | 35.4869i | −0.350647 | − | 2.72172i | ||||
\(171\) | 6.69436 | + | 4.47303i | 0.511930 | + | 0.342061i | ||||
\(172\) | 8.15823 | − | 9.19927i | 0.622059 | − | 0.701438i | ||||
\(173\) | 2.78892 | − | 14.0208i | 0.212037 | − | 1.06598i | −0.717304 | − | 0.696761i | \(-0.754624\pi\) |
0.929341 | − | 0.369223i | \(-0.120376\pi\) | |||||||
\(174\) | 0.453364 | + | 1.34783i | 0.0343695 | + | 0.102179i | ||||
\(175\) | −1.34709 | − | 1.34709i | −0.101831 | − | 0.101831i | ||||
\(176\) | 1.60910 | − | 1.37988i | 0.121290 | − | 0.104012i | ||||
\(177\) | −5.19647 | + | 5.19647i | −0.390591 | + | 0.390591i | ||||
\(178\) | 11.5200 | + | 5.72079i | 0.863460 | + | 0.428791i | ||||
\(179\) | 14.6864 | + | 2.92130i | 1.09771 | + | 0.218348i | 0.710538 | − | 0.703659i | \(-0.248452\pi\) |
0.387173 | + | 0.922007i | \(0.373452\pi\) | |||||||
\(180\) | −7.77357 | − | 2.68693i | −0.579408 | − | 0.200272i | ||||
\(181\) | 0.866110 | − | 1.29623i | 0.0643775 | − | 0.0963477i | −0.797884 | − | 0.602811i | \(-0.794047\pi\) |
0.862262 | + | 0.506463i | \(0.169047\pi\) | |||||||
\(182\) | 0.624796 | − | 0.809592i | 0.0463130 | − | 0.0600110i | ||||
\(183\) | −1.46974 | + | 3.54827i | −0.108646 | + | 0.262296i | ||||
\(184\) | 13.6678 | − | 2.60071i | 1.00760 | − | 0.191727i | ||||
\(185\) | 1.23820 | + | 2.98927i | 0.0910341 | + | 0.219776i | ||||
\(186\) | −0.359270 | + | 1.32610i | −0.0263430 | + | 0.0972342i | ||||
\(187\) | −3.19760 | + | 0.636043i | −0.233832 | + | 0.0465121i | ||||
\(188\) | 0.922828 | − | 0.700015i | 0.0673041 | − | 0.0510538i | ||||
\(189\) | 0.132976 | − | 0.0888519i | 0.00967260 | − | 0.00646303i | ||||
\(190\) | 35.2901 | − | 30.7760i | 2.56022 | − | 2.23272i | ||||
\(191\) | 26.1299 | 1.89069 | 0.945345 | − | 0.326072i | \(-0.105725\pi\) | ||||
0.945345 | + | 0.326072i | \(0.105725\pi\) | |||||||
\(192\) | 1.42999 | + | 7.87116i | 0.103200 | + | 0.568052i | ||||
\(193\) | −3.00179 | −0.216073 | −0.108037 | − | 0.994147i | \(-0.534456\pi\) | ||||
−0.108037 | + | 0.994147i | \(0.534456\pi\) | |||||||
\(194\) | 1.29747 | − | 1.13150i | 0.0931528 | − | 0.0812370i | ||||
\(195\) | 15.4606 | − | 10.3305i | 1.10716 | − | 0.739780i | ||||
\(196\) | 8.43002 | + | 11.1133i | 0.602145 | + | 0.793806i | ||||
\(197\) | 15.5847 | − | 3.09998i | 1.11036 | − | 0.220865i | 0.394355 | − | 0.918958i | \(-0.370968\pi\) |
0.716007 | + | 0.698093i | \(0.245968\pi\) | |||||||
\(198\) | −0.195975 | + | 0.723361i | −0.0139273 | + | 0.0514070i | ||||
\(199\) | −7.11704 | − | 17.1820i | −0.504513 | − | 1.21800i | −0.947002 | − | 0.321229i | \(-0.895904\pi\) |
0.442488 | − | 0.896774i | \(-0.354096\pi\) | |||||||
\(200\) | −18.9508 | + | 27.8574i | −1.34002 | + | 1.96982i | ||||
\(201\) | −4.70124 | + | 11.3498i | −0.331600 | + | 0.800553i | ||||
\(202\) | 3.99964 | − | 5.18262i | 0.281414 | − | 0.364648i | ||||
\(203\) | −0.0893436 | + | 0.133712i | −0.00627069 | + | 0.00938476i | ||||
\(204\) | 4.01966 | − | 11.6293i | 0.281433 | − | 0.814213i | ||||
\(205\) | −17.6141 | − | 3.50366i | −1.23022 | − | 0.244706i | ||||
\(206\) | −16.7869 | − | 8.33631i | −1.16960 | − | 0.580818i | ||||
\(207\) | −3.47826 | + | 3.47826i | −0.241756 | + | 0.241756i | ||||
\(208\) | −16.1312 | − | 8.17865i | −1.11850 | − | 0.567087i | ||||
\(209\) | −3.01695 | − | 3.01695i | −0.208687 | − | 0.208687i | ||||
\(210\) | −0.296535 | − | 0.881587i | −0.0204629 | − | 0.0608353i | ||||
\(211\) | 2.63480 | − | 13.2460i | 0.181387 | − | 0.911895i | −0.777668 | − | 0.628675i | \(-0.783597\pi\) |
0.959055 | − | 0.283220i | \(-0.0914025\pi\) | |||||||
\(212\) | −4.17839 | − | 3.70554i | −0.286973 | − | 0.254497i | ||||
\(213\) | −8.27943 | − | 5.53214i | −0.567297 | − | 0.379056i | ||||
\(214\) | −1.92041 | − | 14.9062i | −0.131276 | − | 1.01897i | ||||
\(215\) | 23.3580 | + | 9.67518i | 1.59300 | + | 0.659842i | ||||
\(216\) | −1.98330 | − | 2.01657i | −0.134946 | − | 0.137210i | ||||
\(217\) | −0.143544 | + | 0.0594578i | −0.00974439 | + | 0.00403626i | ||||
\(218\) | −6.95272 | + | 3.98849i | −0.470898 | + | 0.270135i | ||||
\(219\) | −2.57643 | − | 12.9526i | −0.174099 | − | 0.875253i | ||||
\(220\) | 3.76253 | + | 2.20020i | 0.253670 | + | 0.148338i | ||||
\(221\) | 15.4544 | + | 23.1292i | 1.03958 | + | 1.55584i | ||||
\(222\) | −0.0758504 | + | 1.11009i | −0.00509075 | + | 0.0745041i | ||||
\(223\) | 15.5839i | 1.04358i | 0.853075 | + | 0.521788i | \(0.174735\pi\) | ||||
−0.853075 | + | 0.521788i | \(0.825265\pi\) | |||||||
\(224\) | −0.605880 | + | 0.671853i | −0.0404820 | + | 0.0448900i | ||||
\(225\) | − | 11.9120i | − | 0.794133i | ||||||
\(226\) | −9.09053 | − | 0.621141i | −0.604693 | − | 0.0413177i | ||||
\(227\) | −2.68903 | − | 4.02442i | −0.178477 | − | 0.267110i | 0.731435 | − | 0.681912i | \(-0.238851\pi\) |
−0.909912 | + | 0.414801i | \(0.863851\pi\) | |||||||
\(228\) | 15.5767 | − | 4.08132i | 1.03159 | − | 0.270292i | ||||
\(229\) | −4.60850 | − | 23.1685i | −0.304538 | − | 1.53102i | −0.765406 | − | 0.643548i | \(-0.777462\pi\) |
0.460868 | − | 0.887469i | \(-0.347538\pi\) | |||||||
\(230\) | 14.2353 | + | 24.8149i | 0.938650 | + | 1.63625i | ||||
\(231\) | −0.0783004 | + | 0.0324331i | −0.00515179 | + | 0.00213394i | ||||
\(232\) | 2.61844 | + | 1.11020i | 0.171909 | + | 0.0728882i | ||||
\(233\) | −24.5900 | − | 10.1855i | −1.61095 | − | 0.667276i | −0.618037 | − | 0.786149i | \(-0.712072\pi\) |
−0.992910 | + | 0.118873i | \(0.962072\pi\) | |||||||
\(234\) | 6.34196 | − | 0.817054i | 0.414587 | − | 0.0534125i | ||||
\(235\) | 1.98030 | + | 1.32319i | 0.129180 | + | 0.0863156i | ||||
\(236\) | 0.879945 | + | 14.6715i | 0.0572795 | + | 0.955032i | ||||
\(237\) | 0.395864 | − | 1.99014i | 0.0257141 | − | 0.129274i | ||||
\(238\) | 1.31886 | − | 0.443618i | 0.0854888 | − | 0.0287555i | ||||
\(239\) | −3.60679 | − | 3.60679i | −0.233304 | − | 0.233304i | 0.580766 | − | 0.814070i | \(-0.302753\pi\) |
−0.814070 | + | 0.580766i | \(0.802753\pi\) | |||||||
\(240\) | −14.3362 | + | 8.06635i | −0.925396 | + | 0.520681i | ||||
\(241\) | −7.86137 | + | 7.86137i | −0.506396 | + | 0.506396i | −0.913418 | − | 0.407023i | \(-0.866567\pi\) |
0.407023 | + | 0.913418i | \(0.366567\pi\) | |||||||
\(242\) | −6.74241 | + | 13.5772i | −0.433419 | + | 0.872777i | ||||
\(243\) | 0.980785 | + | 0.195090i | 0.0629174 | + | 0.0125150i | ||||
\(244\) | 3.35907 | + | 6.90783i | 0.215043 | + | 0.442228i | ||||
\(245\) | −15.9347 | + | 23.8480i | −1.01803 | + | 1.52359i | ||||
\(246\) | −4.88927 | − | 3.77325i | −0.311728 | − | 0.240574i | ||||
\(247\) | −13.9311 | + | 33.6327i | −0.886415 | + | 2.14000i | ||||
\(248\) | 1.50754 | + | 2.29734i | 0.0957291 | + | 0.145881i | ||||
\(249\) | −2.58081 | − | 6.23063i | −0.163552 | − | 0.394850i | ||||
\(250\) | −38.8004 | − | 10.5119i | −2.45395 | − | 0.664831i | ||||
\(251\) | 7.60256 | − | 1.51224i | 0.479870 | − | 0.0954520i | 0.0507723 | − | 0.998710i | \(-0.483832\pi\) |
0.429097 | + | 0.903258i | \(0.358832\pi\) | |||||||
\(252\) | 0.0435077 | − | 0.316886i | 0.00274073 | − | 0.0199619i | ||||
\(253\) | 2.16743 | − | 1.44823i | 0.136265 | − | 0.0910493i | ||||
\(254\) | −7.40022 | − | 8.48568i | −0.464331 | − | 0.532439i | ||||
\(255\) | 25.3004 | 1.58437 | ||||||||
\(256\) | 13.6756 | + | 8.30535i | 0.854723 | + | 0.519084i | ||||
\(257\) | −21.5954 | −1.34708 | −0.673541 | − | 0.739150i | \(-0.735227\pi\) | ||||
−0.673541 | + | 0.739150i | \(0.735227\pi\) | |||||||
\(258\) | 5.71444 | + | 6.55262i | 0.355765 | + | 0.407949i | ||||
\(259\) | −0.104623 | + | 0.0699069i | −0.00650096 | + | 0.00434380i | ||||
\(260\) | 5.05847 | − | 36.8431i | 0.313713 | − | 2.28491i | ||||
\(261\) | −0.986213 | + | 0.196170i | −0.0610450 | + | 0.0121426i | ||||
\(262\) | −1.21294 | − | 0.328613i | −0.0749355 | − | 0.0203018i | ||||
\(263\) | 1.07217 | + | 2.58844i | 0.0661127 | + | 0.159610i | 0.953483 | − | 0.301448i | \(-0.0974699\pi\) |
−0.887370 | + | 0.461058i | \(0.847470\pi\) | |||||||
\(264\) | 0.822336 | + | 1.25315i | 0.0506113 | + | 0.0771262i | ||||
\(265\) | 4.39455 | − | 10.6094i | 0.269955 | − | 0.651729i | ||||
\(266\) | 1.44160 | + | 1.11254i | 0.0883903 | + | 0.0682145i | ||||
\(267\) | −5.05290 | + | 7.56220i | −0.309233 | + | 0.462799i | ||||
\(268\) | 10.7446 | + | 22.0960i | 0.656332 | + | 1.34973i | ||||
\(269\) | 14.3901 | + | 2.86237i | 0.877380 | + | 0.174522i | 0.613177 | − | 0.789946i | \(-0.289891\pi\) |
0.264203 | + | 0.964467i | \(0.414891\pi\) | |||||||
\(270\) | 2.58673 | − | 5.20892i | 0.157424 | − | 0.317005i | ||||
\(271\) | −3.75306 | + | 3.75306i | −0.227982 | + | 0.227982i | −0.811849 | − | 0.583867i | \(-0.801539\pi\) |
0.583867 | + | 0.811849i | \(0.301539\pi\) | |||||||
\(272\) | −12.0673 | − | 21.4470i | −0.731687 | − | 1.30041i | ||||
\(273\) | 0.511324 | + | 0.511324i | 0.0309468 | + | 0.0309468i | ||||
\(274\) | 17.0195 | − | 5.72477i | 1.02819 | − | 0.345846i | ||||
\(275\) | −1.23152 | + | 6.19127i | −0.0742634 | + | 0.373347i | ||||
\(276\) | 0.588991 | + | 9.82036i | 0.0354531 | + | 0.591116i | ||||
\(277\) | −14.9569 | − | 9.99386i | −0.898671 | − | 0.600473i | 0.0181216 | − | 0.999836i | \(-0.494231\pi\) |
−0.916793 | + | 0.399363i | \(0.869231\pi\) | |||||||
\(278\) | −11.0844 | + | 1.42804i | −0.664800 | + | 0.0856481i | ||||
\(279\) | −0.897546 | − | 0.371776i | −0.0537347 | − | 0.0222576i | ||||
\(280\) | −1.71266 | − | 0.726156i | −0.102351 | − | 0.0433961i | ||||
\(281\) | 11.1334 | − | 4.61158i | 0.664160 | − | 0.275104i | −0.0250279 | − | 0.999687i | \(-0.507967\pi\) |
0.689188 | + | 0.724583i | \(0.257967\pi\) | |||||||
\(282\) | 0.407549 | + | 0.710436i | 0.0242692 | + | 0.0423059i | ||||
\(283\) | −5.73960 | − | 28.8549i | −0.341184 | − | 1.71525i | −0.646430 | − | 0.762973i | \(-0.723739\pi\) |
0.305246 | − | 0.952273i | \(-0.401261\pi\) | |||||||
\(284\) | −19.2649 | + | 5.04768i | −1.14316 | + | 0.299525i | ||||
\(285\) | 18.3950 | + | 27.5300i | 1.08962 | + | 1.63074i | ||||
\(286\) | −3.38071 | − | 0.230999i | −0.199905 | − | 0.0136592i | ||||
\(287\) | − | 0.698420i | − | 0.0412265i | ||||||
\(288\) | −5.64933 | + | 0.291692i | −0.332890 | + | 0.0171881i | ||||
\(289\) | 20.8495i | 1.22644i | ||||||||
\(290\) | −0.398657 | + | 5.83442i | −0.0234099 | + | 0.342609i | ||||
\(291\) | 0.676305 | + | 1.01216i | 0.0396457 | + | 0.0593339i | ||||
\(292\) | −22.8004 | − | 13.3330i | −1.33429 | − | 0.780252i | ||||
\(293\) | 3.28132 | + | 16.4963i | 0.191697 | + | 0.963724i | 0.950102 | + | 0.311940i | \(0.100979\pi\) |
−0.758405 | + | 0.651783i | \(0.774021\pi\) | |||||||
\(294\) | −8.55553 | + | 4.90796i | −0.498969 | + | 0.286238i | ||||
\(295\) | −27.9214 | + | 11.5654i | −1.62564 | + | 0.673364i | ||||
\(296\) | 1.56042 | + | 1.58659i | 0.0906973 | + | 0.0922188i | ||||
\(297\) | −0.489594 | − | 0.202796i | −0.0284091 | − | 0.0117674i | ||||
\(298\) | 2.07495 | + | 16.1057i | 0.120198 | + | 0.932979i | ||||
\(299\) | −18.4930 | − | 12.3566i | −1.06948 | − | 0.714602i | ||||
\(300\) | −17.8245 | − | 15.8073i | −1.02910 | − | 0.912637i | ||||
\(301\) | −0.191816 | + | 0.964326i | −0.0110561 | + | 0.0555828i | ||||
\(302\) | 6.20782 | + | 18.4556i | 0.357220 | + | 1.06200i | ||||
\(303\) | 3.27325 | + | 3.27325i | 0.188043 | + | 0.188043i | ||||
\(304\) | 14.5633 | − | 28.7240i | 0.835264 | − | 1.64743i | ||||
\(305\) | −11.1682 | + | 11.1682i | −0.639490 | + | 0.639490i | ||||
\(306\) | 7.79256 | + | 3.86976i | 0.445471 | + | 0.221219i | ||||
\(307\) | 1.03994 | + | 0.206857i | 0.0593525 | + | 0.0118059i | 0.224677 | − | 0.974433i | \(-0.427867\pi\) |
−0.165325 | + | 0.986239i | \(0.552867\pi\) | |||||||
\(308\) | −0.0553743 | + | 0.160203i | −0.00315524 | + | 0.00912844i | ||||
\(309\) | 7.36307 | − | 11.0196i | 0.418870 | − | 0.626884i | ||||
\(310\) | −3.45196 | + | 4.47295i | −0.196058 | + | 0.254046i | ||||
\(311\) | 0.00613582 | − | 0.0148132i | 0.000347931 | − | 0.000839979i | −0.923705 | − | 0.383103i | \(-0.874855\pi\) |
0.924053 | + | 0.382263i | \(0.124855\pi\) | |||||||
\(312\) | 7.19325 | − | 10.5740i | 0.407238 | − | 0.598635i | ||||
\(313\) | −5.70335 | − | 13.7691i | −0.322372 | − | 0.778275i | −0.999115 | − | 0.0420560i | \(-0.986609\pi\) |
0.676743 | − | 0.736219i | \(-0.263391\pi\) | |||||||
\(314\) | −1.36676 | + | 5.04482i | −0.0771307 | + | 0.284696i | ||||
\(315\) | 0.645059 | − | 0.128310i | 0.0363450 | − | 0.00722946i | ||||
\(316\) | −2.45262 | − | 3.23328i | −0.137971 | − | 0.181886i | ||||
\(317\) | 19.9834 | − | 13.3525i | 1.12238 | − | 0.749949i | 0.151248 | − | 0.988496i | \(-0.451671\pi\) |
0.971131 | + | 0.238546i | \(0.0766709\pi\) | |||||||
\(318\) | 2.97626 | − | 2.59555i | 0.166900 | − | 0.145551i | ||||
\(319\) | 0.532865 | 0.0298347 | ||||||||
\(320\) | −6.95421 | + | 32.1560i | −0.388752 | + | 1.79757i | ||||
\(321\) | 10.6274 | 0.593162 | ||||||||
\(322\) | −0.838491 | + | 0.731234i | −0.0467273 | + | 0.0407501i | ||||
\(323\) | −41.1850 | + | 27.5189i | −2.29159 | + | 1.53119i | ||||
\(324\) | 1.59343 | − | 1.20871i | 0.0885241 | − | 0.0671503i | ||||
\(325\) | 52.8253 | − | 10.5076i | 2.93022 | − | 0.582857i | ||||
\(326\) | −0.0823359 | + | 0.303909i | −0.00456016 | + | 0.0168319i | ||||
\(327\) | −2.16898 | − | 5.23639i | −0.119945 | − | 0.289573i | ||||
\(328\) | −12.1342 | + | 2.30889i | −0.669999 | + | 0.127487i | ||||
\(329\) | −0.0354449 | + | 0.0855716i | −0.00195414 | + | 0.00471772i | ||||
\(330\) | −1.88298 | + | 2.43991i | −0.103654 | + | 0.134312i | ||||
\(331\) | 5.73640 | − | 8.58513i | 0.315301 | − | 0.471881i | −0.639641 | − | 0.768674i | \(-0.720917\pi\) |
0.954942 | + | 0.296793i | \(0.0959170\pi\) | |||||||
\(332\) | −12.7479 | − | 4.40632i | −0.699633 | − | 0.241828i | ||||
\(333\) | −0.771661 | − | 0.153493i | −0.0422868 | − | 0.00841137i | ||||
\(334\) | 21.2582 | + | 10.5568i | 1.16320 | + | 0.577640i | ||||
\(335\) | −35.7236 | + | 35.7236i | −1.95179 | + | 1.95179i | ||||
\(336\) | −0.416435 | − | 0.485613i | −0.0227184 | − | 0.0264924i | ||||
\(337\) | 18.1565 | + | 18.1565i | 0.989049 | + | 0.989049i | 0.999941 | − | 0.0108916i | \(-0.00346698\pi\) |
−0.0108916 | + | 0.999941i | \(0.503467\pi\) | |||||||
\(338\) | 3.35629 | + | 9.97813i | 0.182558 | + | 0.542738i | ||||
\(339\) | 1.25696 | − | 6.31916i | 0.0682687 | − | 0.343210i | ||||
\(340\) | 33.5739 | − | 37.8581i | 1.82080 | − | 2.05315i | ||||
\(341\) | 0.428064 | + | 0.286023i | 0.0231810 | + | 0.0154890i | ||||
\(342\) | 1.45489 | + | 11.2928i | 0.0786714 | + | 0.610647i | ||||
\(343\) | −2.06480 | − | 0.855267i | −0.111489 | − | 0.0461801i | ||||
\(344\) | 17.3881 | + | 0.144631i | 0.937503 | + | 0.00779797i | ||||
\(345\) | −18.6892 | + | 7.74131i | −1.00619 | + | 0.416778i | ||||
\(346\) | 17.5363 | − | 10.0599i | 0.942758 | − | 0.540822i | ||||
\(347\) | −6.03964 | − | 30.3633i | −0.324225 | − | 1.62999i | −0.707754 | − | 0.706459i | \(-0.750291\pi\) |
0.383529 | − | 0.923529i | \(-0.374709\pi\) | |||||||
\(348\) | −1.01518 | + | 1.73603i | −0.0544191 | + | 0.0930611i | ||||
\(349\) | −2.58857 | − | 3.87407i | −0.138563 | − | 0.207374i | 0.755698 | − | 0.654920i | \(-0.227298\pi\) |
−0.894261 | + | 0.447547i | \(0.852298\pi\) | |||||||
\(350\) | 0.183661 | − | 2.68792i | 0.00981711 | − | 0.143675i | ||||
\(351\) | 4.52151i | 0.241340i | ||||||||
\(352\) | 2.96640 | + | 0.432448i | 0.158109 | + | 0.0230495i | ||||
\(353\) | − | 23.4512i | − | 1.24818i | −0.781352 | − | 0.624090i | \(-0.785470\pi\) | ||
0.781352 | − | 0.624090i | \(-0.214530\pi\) | |||||||
\(354\) | −10.3688 | − | 0.708482i | −0.551094 | − | 0.0376554i | ||||
\(355\) | −22.7505 | − | 34.0485i | −1.20747 | − | 1.80711i | ||||
\(356\) | 4.61041 | + | 17.5960i | 0.244351 | + | 0.932586i | ||||
\(357\) | 0.191952 | + | 0.965010i | 0.0101592 | + | 0.0510738i | ||||
\(358\) | 10.5374 | + | 18.3687i | 0.556919 | + | 0.970817i | ||||
\(359\) | −17.3271 | + | 7.17713i | −0.914490 | + | 0.378794i | −0.789774 | − | 0.613398i | \(-0.789802\pi\) |
−0.124716 | + | 0.992192i | \(0.539802\pi\) | |||||||
\(360\) | −4.36172 | − | 10.7829i | −0.229883 | − | 0.568310i | ||||
\(361\) | −42.3344 | − | 17.5355i | −2.22813 | − | 0.922920i | ||||
\(362\) | 2.18663 | − | 0.281710i | 0.114927 | − | 0.0148063i | ||||
\(363\) | −8.91267 | − | 5.95525i | −0.467794 | − | 0.312570i | ||||
\(364\) | 1.44365 | − | 0.0865851i | 0.0756678 | − | 0.00453829i | ||||
\(365\) | 10.5953 | − | 53.2664i | 0.554586 | − | 2.78809i | ||||
\(366\) | −5.14803 | + | 1.73162i | −0.269092 | + | 0.0905131i | ||||
\(367\) | 26.2985 | + | 26.2985i | 1.37277 | + | 1.37277i | 0.856313 | + | 0.516458i | \(0.172750\pi\) |
0.516458 | + | 0.856313i | \(0.327250\pi\) | |||||||
\(368\) | 15.4762 | + | 12.1504i | 0.806755 | + | 0.633382i | ||||
\(369\) | 3.08798 | − | 3.08798i | 0.160754 | − | 0.160754i | ||||
\(370\) | −2.03519 | + | 4.09827i | −0.105804 | + | 0.213059i | ||||
\(371\) | 0.438005 | + | 0.0871247i | 0.0227401 | + | 0.00452329i | ||||
\(372\) | −1.74736 | + | 0.849688i | −0.0905962 | + | 0.0440543i | ||||
\(373\) | −15.8345 | + | 23.6980i | −0.819879 | + | 1.22704i | 0.151253 | + | 0.988495i | \(0.451669\pi\) |
−0.971132 | + | 0.238541i | \(0.923331\pi\) | |||||||
\(374\) | −3.65011 | − | 2.81694i | −0.188743 | − | 0.145661i | ||||
\(375\) | 10.8778 | − | 26.2613i | 0.561727 | − | 1.35613i | ||||
\(376\) | 1.60388 | + | 0.332923i | 0.0827137 | + | 0.0171692i | ||||
\(377\) | −1.73988 | − | 4.20045i | −0.0896085 | − | 0.216334i | ||||
\(378\) | 0.218304 | + | 0.0591437i | 0.0112284 | + | 0.00304202i | ||||
\(379\) | 16.5739 | − | 3.29675i | 0.851343 | − | 0.169343i | 0.249913 | − | 0.968268i | \(-0.419598\pi\) |
0.601430 | + | 0.798926i | \(0.294598\pi\) | |||||||
\(380\) | 65.6047 | + | 9.00738i | 3.36545 | + | 0.462069i | ||||
\(381\) | 6.61972 | − | 4.42316i | 0.339139 | − | 0.226605i | ||||
\(382\) | 24.2878 | + | 27.8503i | 1.24267 | + | 1.42495i | ||||
\(383\) | −17.4182 | −0.890029 | −0.445014 | − | 0.895523i | \(-0.646801\pi\) | ||||
−0.445014 | + | 0.895523i | \(0.646801\pi\) | |||||||
\(384\) | −7.06024 | + | 8.84042i | −0.360291 | + | 0.451136i | ||||
\(385\) | −0.348535 | −0.0177630 | ||||||||
\(386\) | −2.79018 | − | 3.19944i | −0.142016 | − | 0.162847i | ||||
\(387\) | −5.11173 | + | 3.41555i | −0.259844 | + | 0.173622i | ||||
\(388\) | 2.41200 | + | 0.331163i | 0.122451 | + | 0.0168123i | ||||
\(389\) | −12.4269 | + | 2.47187i | −0.630070 | + | 0.125329i | −0.499787 | − | 0.866148i | \(-0.666588\pi\) |
−0.130283 | + | 0.991477i | \(0.541588\pi\) | |||||||
\(390\) | 25.3814 | + | 6.87640i | 1.28524 | + | 0.348200i | ||||
\(391\) | −11.5810 | − | 27.9591i | −0.585678 | − | 1.41395i | ||||
\(392\) | −4.00927 | + | 19.3149i | −0.202499 | + | 0.975551i | ||||
\(393\) | 0.340051 | − | 0.820955i | 0.0171533 | − | 0.0414117i | ||||
\(394\) | 17.7901 | + | 13.7294i | 0.896253 | + | 0.691676i | ||||
\(395\) | 4.63603 | − | 6.93831i | 0.233264 | − | 0.349104i | ||||
\(396\) | −0.953149 | + | 0.463488i | −0.0478975 | + | 0.0232912i | ||||
\(397\) | 17.2612 | + | 3.43346i | 0.866314 | + | 0.172321i | 0.608190 | − | 0.793791i | \(-0.291896\pi\) |
0.258124 | + | 0.966112i | \(0.416896\pi\) | |||||||
\(398\) | 11.6981 | − | 23.5564i | 0.586370 | − | 1.18078i | ||||
\(399\) | −0.910491 | + | 0.910491i | −0.0455816 | + | 0.0455816i | ||||
\(400\) | −47.3064 | + | 5.69504i | −2.36532 | + | 0.284752i | ||||
\(401\) | −0.360223 | − | 0.360223i | −0.0179887 | − | 0.0179887i | 0.698055 | − | 0.716044i | \(-0.254049\pi\) |
−0.716044 | + | 0.698055i | \(0.754049\pi\) | |||||||
\(402\) | −16.4669 | + | 5.53890i | −0.821296 | + | 0.276255i | ||||
\(403\) | 0.856960 | − | 4.30823i | 0.0426882 | − | 0.214608i | ||||
\(404\) | 9.24154 | − | 0.554276i | 0.459784 | − | 0.0275762i | ||||
\(405\) | 3.41935 | + | 2.28474i | 0.169909 | + | 0.113530i | ||||
\(406\) | −0.225562 | + | 0.0290598i | −0.0111944 | + | 0.00144221i | ||||
\(407\) | 0.385202 | + | 0.159556i | 0.0190938 | + | 0.00790890i | ||||
\(408\) | 16.1313 | − | 6.52514i | 0.798618 | − | 0.323043i | ||||
\(409\) | 4.87452 | − | 2.01909i | 0.241029 | − | 0.0998376i | −0.258899 | − | 0.965904i | \(-0.583360\pi\) |
0.499928 | + | 0.866067i | \(0.333360\pi\) | |||||||
\(410\) | −12.6380 | − | 22.0305i | −0.624148 | − | 1.08801i | ||||
\(411\) | 2.47710 | + | 12.4532i | 0.122186 | + | 0.614272i | ||||
\(412\) | −6.71827 | − | 25.6408i | −0.330985 | − | 1.26323i | ||||
\(413\) | −0.652966 | − | 0.977233i | −0.0321304 | − | 0.0480865i | ||||
\(414\) | −6.94034 | − | 0.474223i | −0.341099 | − | 0.0233068i | ||||
\(415\) | − | 27.7341i | − | 1.36141i | ||||||
\(416\) | −6.27683 | − | 24.7954i | −0.307747 | − | 1.21569i | ||||
\(417\) | − | 7.90266i | − | 0.386995i | ||||||
\(418\) | 0.411328 | − | 6.01987i | 0.0201187 | − | 0.294441i | ||||
\(419\) | 4.63467 | + | 6.93628i | 0.226419 | + | 0.338859i | 0.927233 | − | 0.374484i | \(-0.122180\pi\) |
−0.700815 | + | 0.713343i | \(0.747180\pi\) | |||||||
\(420\) | 0.664003 | − | 1.13550i | 0.0324000 | − | 0.0554067i | ||||
\(421\) | 3.45295 | + | 17.3591i | 0.168286 | + | 0.846033i | 0.969014 | + | 0.247005i | \(0.0794463\pi\) |
−0.800728 | + | 0.599028i | \(0.795554\pi\) | |||||||
\(422\) | 16.5673 | − | 9.50397i | 0.806482 | − | 0.462646i | ||||
\(423\) | −0.535059 | + | 0.221629i | −0.0260155 | + | 0.0107760i | ||||
\(424\) | 0.0656926 | − | 7.89782i | 0.00319031 | − | 0.383552i | ||||
\(425\) | 67.7065 | + | 28.0449i | 3.28425 | + | 1.36038i | ||||
\(426\) | −1.79937 | − | 13.9667i | −0.0871799 | − | 0.676690i | ||||
\(427\) | −0.510711 | − | 0.341246i | −0.0247151 | − | 0.0165141i | ||||
\(428\) | 14.1026 | − | 15.9022i | 0.681676 | − | 0.768663i | ||||
\(429\) | 0.467455 | − | 2.35006i | 0.0225689 | − | 0.113462i | ||||
\(430\) | 11.3991 | + | 33.8890i | 0.549713 | + | 1.63427i | ||||
\(431\) | −8.86022 | − | 8.86022i | −0.426782 | − | 0.426782i | 0.460749 | − | 0.887531i | \(-0.347581\pi\) |
−0.887531 | + | 0.460749i | \(0.847581\pi\) | |||||||
\(432\) | 0.305861 | − | 3.98829i | 0.0147158 | − | 0.191887i | ||||
\(433\) | 6.64880 | − | 6.64880i | 0.319521 | − | 0.319521i | −0.529062 | − | 0.848583i | \(-0.677456\pi\) |
0.848583 | + | 0.529062i | \(0.177456\pi\) | |||||||
\(434\) | −0.196797 | − | 0.0977290i | −0.00944657 | − | 0.00469114i | ||||
\(435\) | −4.05572 | − | 0.806733i | −0.194457 | − | 0.0386799i | ||||
\(436\) | −10.7137 | − | 3.70319i | −0.513093 | − | 0.177351i | ||||
\(437\) | 22.0028 | − | 32.9296i | 1.05254 | − | 1.57524i | ||||
\(438\) | 11.4106 | − | 14.7855i | 0.545220 | − | 0.706480i | ||||
\(439\) | −5.18915 | + | 12.5277i | −0.247664 | + | 0.597915i | −0.998005 | − | 0.0631368i | \(-0.979890\pi\) |
0.750340 | + | 0.661052i | \(0.229890\pi\) | |||||||
\(440\) | 1.15221 | + | 6.05536i | 0.0549296 | + | 0.288678i | ||||
\(441\) | −2.66900 | − | 6.44353i | −0.127095 | − | 0.306835i | ||||
\(442\) | −10.2871 | + | 37.9706i | −0.489308 | + | 1.80608i | ||||
\(443\) | 3.79768 | − | 0.755406i | 0.180433 | − | 0.0358904i | −0.104047 | − | 0.994572i | \(-0.533179\pi\) |
0.284480 | + | 0.958682i | \(0.408179\pi\) | |||||||
\(444\) | −1.25368 | + | 0.950985i | −0.0594970 | + | 0.0451317i | ||||
\(445\) | −31.0990 | + | 20.7797i | −1.47423 | + | 0.985051i | ||||
\(446\) | −16.6100 | + | 14.4853i | −0.786506 | + | 0.685899i | ||||
\(447\) | −11.4826 | −0.543108 | ||||||||
\(448\) | −1.27926 | − | 0.0212827i | −0.0604392 | − | 0.00100551i | ||||
\(449\) | 14.9436 | 0.705231 | 0.352615 | − | 0.935768i | \(-0.385292\pi\) | ||||
0.352615 | + | 0.935768i | \(0.385292\pi\) | |||||||
\(450\) | 12.6963 | − | 11.0723i | 0.598511 | − | 0.521951i | ||||
\(451\) | −1.92423 | + | 1.28573i | −0.0906083 | + | 0.0605425i | ||||
\(452\) | −7.78764 | − | 10.2664i | −0.366300 | − | 0.482892i | ||||
\(453\) | −13.5040 | + | 2.68611i | −0.634473 | + | 0.126205i | ||||
\(454\) | 1.78994 | − | 6.60681i | 0.0840058 | − | 0.310073i | ||||
\(455\) | 1.13802 | + | 2.74741i | 0.0533510 | + | 0.128801i | ||||
\(456\) | 18.8286 | + | 12.8087i | 0.881731 | + | 0.599822i | ||||
\(457\) | −9.64011 | + | 23.2733i | −0.450945 | + | 1.08868i | 0.521018 | + | 0.853546i | \(0.325552\pi\) |
−0.971963 | + | 0.235132i | \(0.924448\pi\) | |||||||
\(458\) | 20.4104 | − | 26.4471i | 0.953713 | − | 1.23579i | ||||
\(459\) | −3.41798 | + | 5.11536i | −0.159537 | + | 0.238765i | ||||
\(460\) | −13.2170 | + | 38.2382i | −0.616248 | + | 1.78287i | ||||
\(461\) | −26.5707 | − | 5.28525i | −1.23752 | − | 0.246158i | −0.467395 | − | 0.884049i | \(-0.654807\pi\) |
−0.770127 | + | 0.637890i | \(0.779807\pi\) | |||||||
\(462\) | −0.107349 | − | 0.0533093i | −0.00499434 | − | 0.00248017i | ||||
\(463\) | 25.5671 | − | 25.5671i | 1.18820 | − | 1.18820i | 0.210640 | − | 0.977564i | \(-0.432445\pi\) |
0.977564 | − | 0.210640i | \(-0.0675548\pi\) | |||||||
\(464\) | 1.25056 | + | 3.82278i | 0.0580556 | + | 0.177468i | ||||
\(465\) | −2.82503 | − | 2.82503i | −0.131008 | − | 0.131008i | ||||
\(466\) | −12.0004 | − | 35.6766i | −0.555906 | − | 1.65269i | ||||
\(467\) | −4.80271 | + | 24.1448i | −0.222243 | + | 1.11729i | 0.695015 | + | 0.718995i | \(0.255398\pi\) |
−0.917258 | + | 0.398294i | \(0.869602\pi\) | |||||||
\(468\) | 6.76573 | + | 6.00009i | 0.312746 | + | 0.277354i | ||||
\(469\) | −1.63361 | − | 1.09154i | −0.0754329 | − | 0.0504027i | ||||
\(470\) | 0.430379 | + | 3.34060i | 0.0198519 | + | 0.154090i | ||||
\(471\) | −3.41450 | − | 1.41433i | −0.157332 | − | 0.0651690i | ||||
\(472\) | −14.8196 | + | 14.5751i | −0.682127 | + | 0.670873i | ||||
\(473\) | 3.00994 | − | 1.24676i | 0.138397 | − | 0.0573260i | ||||
\(474\) | 2.48914 | − | 1.42792i | 0.114330 | − | 0.0655864i | ||||
\(475\) | 18.7104 | + | 94.0635i | 0.858492 | + | 4.31593i | ||||
\(476\) | 1.69871 | + | 0.993351i | 0.0778603 | + | 0.0455302i | ||||
\(477\) | 1.55137 | + | 2.32179i | 0.0710325 | + | 0.106308i | ||||
\(478\) | 0.491746 | − | 7.19680i | 0.0224919 | − | 0.329174i | ||||
\(479\) | 13.7288i | 0.627286i | 0.949541 | + | 0.313643i | \(0.101550\pi\) | ||||
−0.949541 | + | 0.313643i | \(0.898450\pi\) | |||||||
\(480\) | −21.9230 | − | 7.78241i | −1.00064 | − | 0.355217i | ||||
\(481\) | − | 3.55743i | − | 0.162205i | ||||||
\(482\) | −15.6862 | − | 1.07181i | −0.714486 | − | 0.0488197i | ||||
\(483\) | −0.437063 | − | 0.654111i | −0.0198871 | − | 0.0297631i | ||||
\(484\) | −20.7383 | + | 5.43374i | −0.942650 | + | 0.246988i | ||||
\(485\) | 0.976645 | + | 4.90992i | 0.0443471 | + | 0.222948i | ||||
\(486\) | 0.703708 | + | 1.22670i | 0.0319209 | + | 0.0556443i | ||||
\(487\) | 12.5172 | − | 5.18479i | 0.567209 | − | 0.234945i | −0.0806028 | − | 0.996746i | \(-0.525685\pi\) |
0.647811 | + | 0.761801i | \(0.275685\pi\) | |||||||
\(488\) | −4.24039 | + | 10.0011i | −0.191953 | + | 0.452728i | ||||
\(489\) | −0.205695 | − | 0.0852017i | −0.00930186 | − | 0.00385296i | ||||
\(490\) | −40.2296 | + | 5.18290i | −1.81739 | + | 0.234140i | ||||
\(491\) | 15.3604 | + | 10.2635i | 0.693205 | + | 0.463185i | 0.851601 | − | 0.524191i | \(-0.175632\pi\) |
−0.158396 | + | 0.987376i | \(0.550632\pi\) | |||||||
\(492\) | −0.522902 | − | 8.71845i | −0.0235743 | − | 0.393058i | ||||
\(493\) | 1.20688 | − | 6.06737i | 0.0543549 | − | 0.273261i | ||||
\(494\) | −48.7962 | + | 16.4133i | −2.19544 | + | 0.738471i | ||||
\(495\) | −1.54100 | − | 1.54100i | −0.0692629 | − | 0.0692629i | ||||
\(496\) | −1.04733 | + | 3.74219i | −0.0470266 | + | 0.168029i | ||||
\(497\) | 1.12607 | − | 1.12607i | 0.0505113 | − | 0.0505113i | ||||
\(498\) | 4.24200 | − | 8.54213i | 0.190088 | − | 0.382782i | ||||
\(499\) | −0.995163 | − | 0.197950i | −0.0445496 | − | 0.00886147i | 0.172765 | − | 0.984963i | \(-0.444730\pi\) |
−0.217315 | + | 0.976102i | \(0.569730\pi\) | |||||||
\(500\) | −24.8610 | − | 51.1260i | −1.11182 | − | 2.28642i | ||||
\(501\) | −9.32429 | + | 13.9548i | −0.416578 | + | 0.623454i | ||||
\(502\) | 8.67843 | + | 6.69750i | 0.387337 | + | 0.298924i | ||||
\(503\) | −2.06266 | + | 4.97969i | −0.0919693 | + | 0.222033i | −0.963170 | − | 0.268894i | \(-0.913342\pi\) |
0.871201 | + | 0.490927i | \(0.163342\pi\) | |||||||
\(504\) | 0.378191 | − | 0.248174i | 0.0168460 | − | 0.0110546i | ||||
\(505\) | 7.28503 | + | 17.5876i | 0.324180 | + | 0.782639i | ||||
\(506\) | 3.55822 | + | 0.964003i | 0.158182 | + | 0.0428551i | ||||
\(507\) | −7.30101 | + | 1.45226i | −0.324249 | + | 0.0644972i | ||||
\(508\) | 2.16587 | − | 15.7750i | 0.0960949 | − | 0.699901i | ||||
\(509\) | 18.9878 | − | 12.6872i | 0.841618 | − | 0.562351i | −0.0583555 | − | 0.998296i | \(-0.518586\pi\) |
0.899973 | + | 0.435945i | \(0.143586\pi\) | |||||||
\(510\) | 23.5168 | + | 26.9663i | 1.04134 | + | 1.19409i | ||||
\(511\) | 2.11208 | 0.0934328 | ||||||||
\(512\) | 3.85930 | + | 22.2959i | 0.170559 | + | 0.985348i | ||||
\(513\) | −8.05124 | −0.355471 | ||||||||
\(514\) | −20.0730 | − | 23.0173i | −0.885381 | − | 1.01525i | ||||
\(515\) | 45.3173 | − | 30.2800i | 1.99692 | − | 1.33430i | ||||
\(516\) | −1.67248 | + | 12.1814i | −0.0736267 | + | 0.536256i | ||||
\(517\) | 0.301010 | − | 0.0598747i | 0.0132384 | − | 0.00263328i | ||||
\(518\) | −0.171757 | − | 0.0465330i | −0.00754658 | − | 0.00204454i | ||||
\(519\) | 5.47065 | + | 13.2073i | 0.240135 | + | 0.579737i | ||||
\(520\) | 43.9708 | − | 28.8542i | 1.92825 | − | 1.26534i | ||||
\(521\) | −10.9734 | + | 26.4922i | −0.480755 | + | 1.16064i | 0.478496 | + | 0.878089i | \(0.341182\pi\) |
−0.959251 | + | 0.282555i | \(0.908818\pi\) | |||||||
\(522\) | −1.12578 | − | 0.868807i | −0.0492739 | − | 0.0380267i | ||||
\(523\) | 5.85945 | − | 8.76928i | 0.256216 | − | 0.383454i | −0.680955 | − | 0.732325i | \(-0.738435\pi\) |
0.937171 | + | 0.348871i | \(0.113435\pi\) | |||||||
\(524\) | −0.777181 | − | 1.59825i | −0.0339513 | − | 0.0698198i | ||||
\(525\) | 1.86847 | + | 0.371662i | 0.0815468 | + | 0.0162207i | ||||
\(526\) | −1.76229 | + | 3.54873i | −0.0768395 | + | 0.154732i | ||||
\(527\) | 4.22626 | − | 4.22626i | 0.184099 | − | 0.184099i | ||||
\(528\) | −0.571300 | + | 2.04129i | −0.0248626 | + | 0.0888359i | ||||
\(529\) | 0.846126 | + | 0.846126i | 0.0367881 | + | 0.0367881i | ||||
\(530\) | 15.3927 | − | 5.17757i | 0.668616 | − | 0.224899i | ||||
\(531\) | 1.43370 | − | 7.20772i | 0.0622174 | − | 0.312788i | ||||
\(532\) | 0.154178 | + | 2.57064i | 0.00668446 | + | 0.111451i | ||||
\(533\) | 16.4179 | + | 10.9701i | 0.711140 | + | 0.475169i | ||||
\(534\) | −12.7568 | + | 1.64350i | −0.552042 | + | 0.0711211i | ||||
\(535\) | 40.3775 | + | 16.7249i | 1.74567 | + | 0.723080i | ||||
\(536\) | −13.5637 | + | 31.9904i | −0.585861 | + | 1.38177i | ||||
\(537\) | −13.8343 | + | 5.73034i | −0.596992 | + | 0.247282i | ||||
\(538\) | 10.3248 | + | 17.9982i | 0.445135 | + | 0.775956i | ||||
\(539\) | 0.721049 | + | 3.62496i | 0.0310578 | + | 0.156138i | ||||
\(540\) | 7.95627 | − | 2.08466i | 0.342383 | − | 0.0897095i | ||||
\(541\) | −6.02666 | − | 9.01954i | −0.259107 | − | 0.387780i | 0.678994 | − | 0.734144i | \(-0.262416\pi\) |
−0.938100 | + | 0.346364i | \(0.887416\pi\) | |||||||
\(542\) | −7.48867 | − | 0.511689i | −0.321666 | − | 0.0219789i | ||||
\(543\) | 1.55896i | 0.0669013i | ||||||||
\(544\) | 11.6425 | − | 32.7969i | 0.499169 | − | 1.40615i | ||||
\(545\) | − | 23.3085i | − | 0.998425i | ||||||
\(546\) | −0.0697134 | + | 1.02027i | −0.00298346 | + | 0.0436635i | ||||
\(547\) | −19.8942 | − | 29.7737i | −0.850612 | − | 1.27303i | −0.960273 | − | 0.279062i | \(-0.909976\pi\) |
0.109661 | − | 0.993969i | \(-0.465024\pi\) | |||||||
\(548\) | 21.9214 | + | 12.8189i | 0.936437 | + | 0.547598i | ||||
\(549\) | −0.749268 | − | 3.76682i | −0.0319780 | − | 0.160764i | ||||
\(550\) | −7.74362 | + | 4.44220i | −0.330189 | + | 0.189416i | ||||
\(551\) | 7.47954 | − | 3.09813i | 0.318639 | − | 0.131985i | ||||
\(552\) | −9.91950 | + | 9.75584i | −0.422202 | + | 0.415236i | ||||
\(553\) | 0.299815 | + | 0.124187i | 0.0127494 | + | 0.00528099i | ||||
\(554\) | −3.25059 | − | 25.2310i | −0.138104 | − | 1.07196i | ||||
\(555\) | −2.69028 | − | 1.79758i | −0.114196 | − | 0.0763032i | ||||
\(556\) | −11.8251 | − | 10.4869i | −0.501496 | − | 0.444744i | ||||
\(557\) | −1.70870 | + | 8.59023i | −0.0724001 | + | 0.363980i | −0.999953 | − | 0.00971252i | \(-0.996908\pi\) |
0.927553 | + | 0.373692i | \(0.121908\pi\) | |||||||
\(558\) | −0.438018 | − | 1.30221i | −0.0185428 | − | 0.0551270i | ||||
\(559\) | −19.6558 | − | 19.6558i | −0.831351 | − | 0.831351i | ||||
\(560\) | −0.817959 | − | 2.50040i | −0.0345651 | − | 0.105661i | ||||
\(561\) | 2.30534 | − | 2.30534i | 0.0973317 | − | 0.0973317i | ||||
\(562\) | 15.2637 | + | 7.57992i | 0.643861 | + | 0.319740i | ||||
\(563\) | −41.7534 | − | 8.30527i | −1.75970 | − | 0.350025i | −0.793646 | − | 0.608380i | \(-0.791820\pi\) |
−0.966050 | + | 0.258355i | \(0.916820\pi\) | |||||||
\(564\) | −0.378396 | + | 1.09474i | −0.0159333 | + | 0.0460967i | ||||
\(565\) | 14.7205 | − | 22.0308i | 0.619295 | − | 0.926841i | ||||
\(566\) | 25.4198 | − | 32.9383i | 1.06848 | − | 1.38450i | ||||
\(567\) | −0.0612023 | + | 0.147755i | −0.00257025 | + | 0.00620514i | ||||
\(568\) | −23.2868 | − | 15.8415i | −0.977093 | − | 0.664694i | ||||
\(569\) | −5.94155 | − | 14.3442i | −0.249083 | − | 0.601339i | 0.749044 | − | 0.662520i | \(-0.230513\pi\) |
−0.998127 | + | 0.0611815i | \(0.980513\pi\) | |||||||
\(570\) | −12.2445 | + | 45.1954i | −0.512865 | + | 1.89303i | ||||
\(571\) | 9.57768 | − | 1.90512i | 0.400813 | − | 0.0797267i | 0.00943242 | − | 0.999956i | \(-0.496998\pi\) |
0.391381 | + | 0.920229i | \(0.371998\pi\) | |||||||
\(572\) | −2.89617 | − | 3.81802i | −0.121095 | − | 0.159639i | ||||
\(573\) | −21.7262 | + | 14.5170i | −0.907624 | + | 0.606455i | ||||
\(574\) | 0.744407 | − | 0.649185i | 0.0310709 | − | 0.0270964i | ||||
\(575\) | −58.5952 | −2.44359 | ||||||||
\(576\) | −5.56197 | − | 5.75017i | −0.231749 | − | 0.239590i | ||||
\(577\) | −16.1734 | −0.673309 | −0.336654 | − | 0.941628i | \(-0.609295\pi\) | ||||
−0.336654 | + | 0.941628i | \(0.609295\pi\) | |||||||
\(578\) | −22.2223 | + | 19.3797i | −0.924326 | + | 0.806089i | ||||
\(579\) | 2.49590 | − | 1.66770i | 0.103726 | − | 0.0693074i | ||||
\(580\) | −6.58913 | + | 4.99821i | −0.273599 | + | 0.207540i | ||||
\(581\) | 1.05784 | − | 0.210417i | 0.0438864 | − | 0.00872955i | ||||
\(582\) | −0.450177 | + | 1.66164i | −0.0186604 | + | 0.0688773i | ||||
\(583\) | −0.566289 | − | 1.36714i | −0.0234533 | − | 0.0566212i | ||||
\(584\) | −6.98227 | − | 36.6947i | −0.288928 | − | 1.51844i | ||||
\(585\) | −7.11575 | + | 17.1789i | −0.294200 | + | 0.710262i | ||||
\(586\) | −14.5325 | + | 18.8307i | −0.600331 | + | 0.777891i | ||||
\(587\) | −9.20074 | + | 13.7699i | −0.379755 | + | 0.568344i | −0.971279 | − | 0.237944i | \(-0.923527\pi\) |
0.591524 | + | 0.806288i | \(0.298527\pi\) | |||||||
\(588\) | −13.1835 | − | 4.55688i | −0.543679 | − | 0.187923i | ||||
\(589\) | 7.67146 | + | 1.52595i | 0.316097 | + | 0.0628756i | ||||
\(590\) | −38.2799 | − | 19.0097i | −1.57596 | − | 0.782617i | ||||
\(591\) | −11.2359 | + | 11.2359i | −0.462184 | + | 0.462184i | ||||
\(592\) | −0.240645 | + | 3.13790i | −0.00989046 | + | 0.128967i | ||||
\(593\) | 11.5062 | + | 11.5062i | 0.472505 | + | 0.472505i | 0.902724 | − | 0.430219i | \(-0.141564\pi\) |
−0.430219 | + | 0.902724i | \(0.641564\pi\) | |||||||
\(594\) | −0.238930 | − | 0.710331i | −0.00980344 | − | 0.0291452i | ||||
\(595\) | −0.789389 | + | 3.96853i | −0.0323618 | + | 0.162694i | ||||
\(596\) | −15.2375 | + | 17.1819i | −0.624152 | + | 0.703798i | ||||
\(597\) | 15.4634 | + | 10.3323i | 0.632876 | + | 0.422874i | ||||
\(598\) | −4.01909 | − | 31.1962i | −0.164353 | − | 1.27571i | ||||
\(599\) | 7.56518 | + | 3.13360i | 0.309105 | + | 0.128035i | 0.531843 | − | 0.846843i | \(-0.321500\pi\) |
−0.222738 | + | 0.974878i | \(0.571500\pi\) | |||||||
\(600\) | 0.280236 | − | 33.6911i | 0.0114406 | − | 1.37543i | ||||
\(601\) | −0.465404 | + | 0.192777i | −0.0189842 | + | 0.00786352i | −0.392155 | − | 0.919899i | \(-0.628270\pi\) |
0.373171 | + | 0.927763i | \(0.378270\pi\) | |||||||
\(602\) | −1.20611 | + | 0.691899i | −0.0491576 | + | 0.0281997i | ||||
\(603\) | −2.39667 | − | 12.0489i | −0.0976000 | − | 0.490668i | ||||
\(604\) | −13.9006 | + | 23.7711i | −0.565607 | + | 0.967233i | ||||
\(605\) | −24.4905 | − | 36.6526i | −0.995680 | − | 1.49014i | ||||
\(606\) | −0.446271 | + | 6.53127i | −0.0181285 | + | 0.265315i | ||||
\(607\) | 42.7312i | 1.73441i | 0.497955 | + | 0.867203i | \(0.334084\pi\) | ||||
−0.497955 | + | 0.867203i | \(0.665916\pi\) | |||||||
\(608\) | 44.1520 | − | 11.1769i | 1.79060 | − | 0.453281i | ||||
\(609\) | − | 0.160814i | − | 0.00651652i | ||||||
\(610\) | −22.2845 | − | 1.52266i | −0.902272 | − | 0.0616508i | ||||
\(611\) | −1.45482 | − | 2.17729i | −0.0588557 | − | 0.0880838i | ||||
\(612\) | 3.11866 | + | 11.9026i | 0.126064 | + | 0.481134i | ||||
\(613\) | 4.44223 | + | 22.3326i | 0.179420 | + | 0.902005i | 0.960650 | + | 0.277762i | \(0.0895926\pi\) |
−0.781230 | + | 0.624243i | \(0.785407\pi\) | |||||||
\(614\) | 0.746152 | + | 1.30069i | 0.0301122 | + | 0.0524915i | ||||
\(615\) | 16.5921 | − | 6.87268i | 0.669059 | − | 0.277133i | ||||
\(616\) | −0.222222 | + | 0.0898894i | −0.00895359 | + | 0.00362175i | ||||
\(617\) | −21.5245 | − | 8.91575i | −0.866545 | − | 0.358935i | −0.0952812 | − | 0.995450i | \(-0.530375\pi\) |
−0.771264 | + | 0.636516i | \(0.780375\pi\) | |||||||
\(618\) | 18.5892 | − | 2.39490i | 0.747766 | − | 0.0963369i | ||||
\(619\) | −12.7526 | − | 8.52103i | −0.512571 | − | 0.342489i | 0.272235 | − | 0.962231i | \(-0.412237\pi\) |
−0.784806 | + | 0.619742i | \(0.787237\pi\) | |||||||
\(620\) | −7.97607 | + | 0.478377i | −0.320327 | + | 0.0192121i | ||||
\(621\) | 0.959650 | − | 4.82449i | 0.0385094 | − | 0.193600i | ||||
\(622\) | 0.0214918 | − | 0.00722909i | 0.000861743 | − | 0.000289860i | ||||
\(623\) | −1.02853 | − | 1.02853i | −0.0412070 | − | 0.0412070i | ||||
\(624\) | 17.9564 | − | 2.16170i | 0.718831 | − | 0.0865372i | ||||
\(625\) | 40.5425 | − | 40.5425i | 1.62170 | − | 1.62170i | ||||
\(626\) | 9.37441 | − | 18.8773i | 0.374677 | − | 0.754489i | ||||
\(627\) | 4.18463 | + | 0.832375i | 0.167118 | + | 0.0332419i | ||||
\(628\) | −6.64740 | + | 3.23244i | −0.265260 | + | 0.128988i | ||||
\(629\) | 2.68919 | − | 4.02466i | 0.107225 | − | 0.160474i | ||||
\(630\) | 0.736344 | + | 0.568267i | 0.0293366 | + | 0.0226403i | ||||
\(631\) | 18.3438 | − | 44.2859i | 0.730257 | − | 1.76300i | 0.0885150 | − | 0.996075i | \(-0.471788\pi\) |
0.641742 | − | 0.766921i | \(-0.278212\pi\) | |||||||
\(632\) | 1.16645 | − | 5.61946i | 0.0463990 | − | 0.223530i | ||||
\(633\) | 5.16835 | + | 12.4775i | 0.205423 | + | 0.495936i | ||||
\(634\) | 32.8063 | + | 8.88798i | 1.30290 | + | 0.352987i | ||||
\(635\) | 32.1118 | − | 6.38744i | 1.27432 | − | 0.253478i | ||||
\(636\) | 5.53289 | + | 0.759654i | 0.219393 | + | 0.0301222i | ||||
\(637\) | 26.2203 | − | 17.5199i | 1.03889 | − | 0.694162i | ||||
\(638\) | 0.495301 | + | 0.567951i | 0.0196091 | + | 0.0224854i | ||||
\(639\) | 9.95758 | 0.393916 | ||||||||
\(640\) | −40.7372 | + | 22.4770i | −1.61028 | + | 0.888483i | ||||
\(641\) | 6.36951 | 0.251580 | 0.125790 | − | 0.992057i | \(-0.459853\pi\) | ||||
0.125790 | + | 0.992057i | \(0.459853\pi\) | |||||||
\(642\) | 9.87820 | + | 11.3271i | 0.389861 | + | 0.447046i | ||||
\(643\) | −9.44521 | + | 6.31108i | −0.372483 | + | 0.248885i | −0.727695 | − | 0.685901i | \(-0.759408\pi\) |
0.355213 | + | 0.934786i | \(0.384408\pi\) | |||||||
\(644\) | −1.55876 | − | 0.214015i | −0.0614238 | − | 0.00843336i | ||||
\(645\) | −24.7967 | + | 4.93236i | −0.976368 | + | 0.194212i | ||||
\(646\) | −67.6125 | − | 18.3178i | −2.66018 | − | 0.720703i | ||||
\(647\) | 10.9484 | + | 26.4317i | 0.430425 | + | 1.03914i | 0.979151 | + | 0.203136i | \(0.0651134\pi\) |
−0.548725 | + | 0.836003i | \(0.684887\pi\) | |||||||
\(648\) | 2.76939 | + | 0.574853i | 0.108792 | + | 0.0225824i | ||||
\(649\) | −1.49034 | + | 3.59799i | −0.0585008 | + | 0.141233i | ||||
\(650\) | 60.3008 | + | 46.5366i | 2.36519 | + | 1.82532i | ||||
\(651\) | 0.0863194 | − | 0.129186i | 0.00338312 | − | 0.00506320i | ||||
\(652\) | −0.400451 | + | 0.194727i | −0.0156829 | + | 0.00762611i | ||||
\(653\) | −17.9473 | − | 3.56994i | −0.702332 | − | 0.139702i | −0.169009 | − | 0.985614i | \(-0.554057\pi\) |
−0.533323 | + | 0.845912i | \(0.679057\pi\) | |||||||
\(654\) | 3.56509 | − | 7.17904i | 0.139406 | − | 0.280723i | ||||
\(655\) | 2.58396 | − | 2.58396i | 0.100964 | − | 0.100964i | ||||
\(656\) | −13.7397 | − | 10.7870i | −0.536445 | − | 0.421162i | ||||
\(657\) | 9.33828 | + | 9.33828i | 0.364321 | + | 0.364321i | ||||
\(658\) | −0.124152 | + | 0.0417605i | −0.00483996 | + | 0.00162799i | ||||
\(659\) | −4.08656 | + | 20.5445i | −0.159190 | + | 0.800301i | 0.815849 | + | 0.578265i | \(0.196270\pi\) |
−0.975039 | + | 0.222036i | \(0.928730\pi\) | |||||||
\(660\) | −4.35079 | + | 0.260946i | −0.169354 | + | 0.0101573i | ||||
\(661\) | 28.6557 | + | 19.1471i | 1.11458 | + | 0.744737i | 0.969599 | − | 0.244698i | \(-0.0786889\pi\) |
0.144978 | + | 0.989435i | \(0.453689\pi\) | |||||||
\(662\) | 14.4824 | − | 1.86581i | 0.562875 | − | 0.0725168i | ||||
\(663\) | −25.6997 | − | 10.6452i | −0.998095 | − | 0.413425i | ||||
\(664\) | −7.15280 | − | 17.6830i | −0.277583 | − | 0.686233i | ||||
\(665\) | −4.89219 | + | 2.02641i | −0.189711 | + | 0.0785809i | ||||
\(666\) | −0.553663 | − | 0.965143i | −0.0214540 | − | 0.0373985i | ||||
\(667\) | 0.964961 | + | 4.85119i | 0.0373634 | + | 0.187839i | ||||
\(668\) | 8.50774 | + | 32.4705i | 0.329174 | + | 1.25632i | ||||
\(669\) | −8.65795 | − | 12.9575i | −0.334736 | − | 0.500968i | ||||
\(670\) | −71.2810 | − | 4.87052i | −2.75383 | − | 0.188165i | ||||
\(671\) | 2.03527i | 0.0785707i | ||||||||
\(672\) | 0.130509 | − | 0.895234i | 0.00503450 | − | 0.0345344i | ||||
\(673\) | − | 25.9788i | − | 1.00141i | −0.865618 | − | 0.500704i | \(-0.833074\pi\) | ||
0.865618 | − | 0.500704i | \(-0.166926\pi\) | |||||||
\(674\) | −2.47544 | + | 36.2286i | −0.0953505 | + | 1.39547i | ||||
\(675\) | 6.61795 | + | 9.90447i | 0.254725 | + | 0.381223i | ||||
\(676\) | −7.51543 | + | 12.8520i | −0.289055 | + | 0.494307i | ||||
\(677\) | 8.91804 | + | 44.8340i | 0.342748 | + | 1.72311i | 0.640055 | + | 0.768329i | \(0.278911\pi\) |
−0.297307 | + | 0.954782i | \(0.596089\pi\) | |||||||
\(678\) | 7.90358 | − | 4.53397i | 0.303535 | − | 0.174126i | ||||
\(679\) | −0.179865 | + | 0.0745025i | −0.00690258 | + | 0.00285914i | ||||
\(680\) | 71.5579 | + | 0.595205i | 2.74412 | + | 0.0228251i | ||||
\(681\) | 4.47170 | + | 1.85224i | 0.171356 | + | 0.0709779i | ||||
\(682\) | 0.0930314 | + | 0.722108i | 0.00356235 | + | 0.0276510i | ||||
\(683\) | 38.6849 | + | 25.8484i | 1.48024 | + | 0.989063i | 0.993292 | + | 0.115630i | \(0.0368886\pi\) |
0.486944 | + | 0.873433i | \(0.338111\pi\) | |||||||
\(684\) | −10.6841 | + | 12.0474i | −0.408515 | + | 0.460645i | ||||
\(685\) | −10.1869 | + | 51.2128i | −0.389220 | + | 1.95674i | ||||
\(686\) | −1.00766 | − | 2.99572i | −0.0384725 | − | 0.114377i | ||||
\(687\) | 16.7035 | + | 16.7035i | 0.637280 | + | 0.637280i | ||||
\(688\) | 16.0082 | + | 18.6674i | 0.610305 | + | 0.711688i | ||||
\(689\) | −8.92783 | + | 8.92783i | −0.340123 | + | 0.340123i | ||||
\(690\) | −25.6227 | − | 12.7241i | −0.975439 | − | 0.484400i | ||||
\(691\) | 49.8201 | + | 9.90983i | 1.89525 | + | 0.376988i | 0.997925 | − | 0.0643920i | \(-0.0205108\pi\) |
0.897320 | + | 0.441380i | \(0.145511\pi\) | |||||||
\(692\) | 27.0223 | + | 9.34026i | 1.02723 | + | 0.355064i | ||||
\(693\) | 0.0470856 | − | 0.0704685i | 0.00178863 | − | 0.00267688i | ||||
\(694\) | 26.7487 | − | 34.6601i | 1.01537 | − | 1.31568i | ||||
\(695\) | 12.4368 | − | 30.0252i | 0.471756 | − | 1.13892i | ||||
\(696\) | −2.79395 | + | 0.531632i | −0.105904 | + | 0.0201515i | ||||
\(697\) | 10.2816 | + | 24.8219i | 0.389442 | + | 0.940195i | ||||
\(698\) | 1.72306 | − | 6.35997i | 0.0652188 | − | 0.240728i | ||||
\(699\) | 26.1046 | − | 5.19254i | 0.987368 | − | 0.196400i | ||||
\(700\) | 3.03561 | − | 2.30268i | 0.114735 | − | 0.0870331i | ||||
\(701\) | −13.5081 | + | 9.02580i | −0.510193 | + | 0.340900i | −0.783873 | − | 0.620921i | \(-0.786759\pi\) |
0.273681 | + | 0.961821i | \(0.411759\pi\) | |||||||
\(702\) | −4.81922 | + | 4.20276i | −0.181890 | + | 0.158623i | ||||
\(703\) | 6.33455 | 0.238912 | ||||||||
\(704\) | 2.29636 | + | 3.56368i | 0.0865472 | + | 0.134311i | ||||
\(705\) | −2.38168 | −0.0896994 | ||||||||
\(706\) | 24.9953 | − | 21.7980i | 0.940710 | − | 0.820377i | ||||
\(707\) | −0.615557 | + | 0.411302i | −0.0231504 | + | 0.0154686i | ||||
\(708\) | −8.88269 | − | 11.7100i | −0.333832 | − | 0.440090i | ||||
\(709\) | −23.8585 | + | 4.74575i | −0.896025 | + | 0.178231i | −0.621560 | − | 0.783366i | \(-0.713501\pi\) |
−0.274465 | + | 0.961597i | \(0.588501\pi\) | |||||||
\(710\) | 15.1437 | − | 55.8967i | 0.568333 | − | 2.09776i | ||||
\(711\) | 0.776515 | + | 1.87467i | 0.0291216 | + | 0.0703057i | ||||
\(712\) | −14.4692 | + | 21.2695i | −0.542255 | + | 0.797109i | ||||
\(713\) | −1.82877 | + | 4.41503i | −0.0684878 | + | 0.165344i | ||||
\(714\) | −0.850129 | + | 1.10157i | −0.0318153 | + | 0.0412253i | ||||
\(715\) | 5.47445 | − | 8.19310i | 0.204733 | − | 0.306404i | ||||
\(716\) | −9.78363 | + | 28.3050i | −0.365631 | + | 1.05781i | ||||
\(717\) | 5.00276 | + | 0.995112i | 0.186832 | + | 0.0371631i | ||||
\(718\) | −23.7553 | − | 11.7968i | −0.886541 | − | 0.440253i | ||||
\(719\) | 12.2682 | − | 12.2682i | 0.457528 | − | 0.457528i | −0.440315 | − | 0.897843i | \(-0.645133\pi\) |
0.897843 | + | 0.440315i | \(0.145133\pi\) | |||||||
\(720\) | 7.43867 | − | 14.6717i | 0.277223 | − | 0.546781i | ||||
\(721\) | 1.49876 | + | 1.49876i | 0.0558168 | + | 0.0558168i | ||||
\(722\) | −20.6599 | − | 61.4211i | −0.768883 | − | 2.28586i | ||||
\(723\) | 2.16895 | − | 10.9040i | 0.0806640 | − | 0.405526i | ||||
\(724\) | 2.33274 | + | 2.06875i | 0.0866955 | + | 0.0768845i | ||||
\(725\) | −9.95928 | − | 6.65458i | −0.369878 | − | 0.247145i | ||||
\(726\) | −1.93699 | − | 15.0349i | −0.0718886 | − | 0.557999i | ||||
\(727\) | −18.6584 | − | 7.72858i | −0.692003 | − | 0.286637i | 0.00883141 | − | 0.999961i | \(-0.497189\pi\) |
−0.700834 | + | 0.713324i | \(0.747189\pi\) | |||||||
\(728\) | 1.43416 | + | 1.45822i | 0.0531537 | + | 0.0540453i | ||||
\(729\) | −0.923880 | + | 0.382683i | −0.0342178 | + | 0.0141735i | ||||
\(730\) | 66.6221 | − | 38.2184i | 2.46579 | − | 1.41453i | ||||
\(731\) | −7.37883 | − | 37.0959i | −0.272916 | − | 1.37204i | ||||
\(732\) | −6.63075 | − | 3.87745i | −0.245080 | − | 0.143315i | ||||
\(733\) | −14.1805 | − | 21.2227i | −0.523770 | − | 0.783877i | 0.471413 | − | 0.881913i | \(-0.343744\pi\) |
−0.995183 | + | 0.0980356i | \(0.968744\pi\) | |||||||
\(734\) | −3.58551 | + | 52.4746i | −0.132344 | + | 1.93687i | ||||
\(735\) | − | 28.6818i | − | 1.05794i | ||||||
\(736\) | 1.43483 | + | 27.7891i | 0.0528886 | + | 1.02432i | ||||
\(737\) | 6.51019i | 0.239806i | ||||||||
\(738\) | 6.16159 | + | 0.421011i | 0.226811 | + | 0.0154976i | ||||
\(739\) | 0.668624 | + | 1.00067i | 0.0245957 | + | 0.0368101i | 0.843564 | − | 0.537029i | \(-0.180453\pi\) |
−0.818968 | + | 0.573839i | \(0.805453\pi\) | |||||||
\(740\) | −6.25983 | + | 1.64017i | −0.230116 | + | 0.0602937i | ||||
\(741\) | −7.10202 | − | 35.7043i | −0.260899 | − | 1.31163i | ||||
\(742\) | 0.314266 | + | 0.547828i | 0.0115371 | + | 0.0201114i | ||||
\(743\) | −1.17547 | + | 0.486897i | −0.0431239 | + | 0.0178625i | −0.404141 | − | 0.914697i | \(-0.632430\pi\) |
0.361017 | + | 0.932559i | \(0.382430\pi\) | |||||||
\(744\) | −2.52981 | − | 1.07262i | −0.0927473 | − | 0.0393241i | ||||
\(745\) | −43.6267 | − | 18.0708i | −1.59836 | − | 0.662062i | ||||
\(746\) | −39.9766 | + | 5.15030i | −1.46365 | + | 0.188566i | ||||
\(747\) | 5.60742 | + | 3.74676i | 0.205165 | + | 0.137087i | ||||
\(748\) | −0.390375 | − | 6.50880i | −0.0142735 | − | 0.237985i | ||||
\(749\) | −0.331581 | + | 1.66697i | −0.0121157 | + | 0.0609098i | ||||
\(750\) | 38.1014 | − | 12.8160i | 1.39127 | − | 0.467974i | ||||
\(751\) | 28.6332 | + | 28.6332i | 1.04484 | + | 1.04484i | 0.998946 | + | 0.0458937i | \(0.0146135\pi\) |
0.0458937 | + | 0.998946i | \(0.485386\pi\) | |||||||
\(752\) | 1.13597 | + | 2.01894i | 0.0414245 | + | 0.0736230i | ||||
\(753\) | −5.48114 | + | 5.48114i | −0.199744 | + | 0.199744i | ||||
\(754\) | 2.85979 | − | 5.75877i | 0.104147 | − | 0.209722i | ||||
\(755\) | −55.5341 | − | 11.0464i | −2.02109 | − | 0.402020i | ||||
\(756\) | 0.139877 | + | 0.287652i | 0.00508727 | + | 0.0104618i | ||||
\(757\) | −7.84971 | + | 11.7479i | −0.285303 | + | 0.426986i | −0.946245 | − | 0.323451i | \(-0.895157\pi\) |
0.660942 | + | 0.750437i | \(0.270157\pi\) | |||||||
\(758\) | 18.9193 | + | 14.6008i | 0.687180 | + | 0.530325i | ||||
\(759\) | −0.997557 | + | 2.40832i | −0.0362090 | + | 0.0874163i | ||||
\(760\) | 51.3794 | + | 78.2967i | 1.86373 | + | 2.84012i | ||||
\(761\) | −13.8423 | − | 33.4182i | −0.501783 | − | 1.21141i | −0.948512 | − | 0.316741i | \(-0.897411\pi\) |
0.446729 | − | 0.894669i | \(-0.352589\pi\) | |||||||
\(762\) | 10.8675 | + | 2.94424i | 0.393686 | + | 0.106659i | ||||
\(763\) | 0.889034 | − | 0.176840i | 0.0321852 | − | 0.00640203i | ||||
\(764\) | −7.10846 | + | 51.7740i | −0.257175 | + | 1.87312i | ||||
\(765\) | −21.0365 | + | 14.0562i | −0.760577 | + | 0.508201i | ||||
\(766\) | −16.1903 | − | 18.5651i | −0.584979 | − | 0.670784i | ||||
\(767\) | 33.2282 | 1.19980 | ||||||||
\(768\) | −15.9850 | + | 0.692097i | −0.576810 | + | 0.0249739i | ||||
\(769\) | −22.7030 | −0.818690 | −0.409345 | − | 0.912380i | \(-0.634243\pi\) | ||||
−0.409345 | + | 0.912380i | \(0.634243\pi\) | |||||||
\(770\) | −0.323965 | − | 0.371484i | −0.0116749 | − | 0.0133873i | ||||
\(771\) | 17.9559 | − | 11.9977i | 0.646665 | − | 0.432088i | ||||
\(772\) | 0.816617 | − | 5.94778i | 0.0293907 | − | 0.214065i | ||||
\(773\) | −22.3417 | + | 4.44404i | −0.803576 | + | 0.159841i | −0.579757 | − | 0.814790i | \(-0.696852\pi\) |
−0.223819 | + | 0.974631i | \(0.571852\pi\) | |||||||
\(774\) | −8.39182 | − | 2.27354i | −0.301638 | − | 0.0817206i | ||||
\(775\) | −4.42859 | − | 10.6916i | −0.159080 | − | 0.384052i | ||||
\(776\) | 1.88900 | + | 2.87864i | 0.0678112 | + | 0.103337i | ||||
\(777\) | 0.0481527 | − | 0.116251i | 0.00172747 | − | 0.00417048i | ||||
\(778\) | −14.1855 | − | 10.9475i | −0.508575 | − | 0.392488i | ||||
\(779\) | −19.5340 | + | 29.2346i | −0.699877 | + | 1.04744i | ||||
\(780\) | 16.2629 | + | 33.4442i | 0.582307 | + | 1.19750i | ||||
\(781\) | −5.17546 | − | 1.02946i | −0.185192 | − | 0.0368371i | ||||
\(782\) | 19.0354 | − | 38.3316i | 0.680703 | − | 1.37074i | ||||
\(783\) | 0.711020 | − | 0.711020i | 0.0254098 | − | 0.0254098i | ||||
\(784\) | −24.3133 | + | 13.6801i | −0.868333 | + | 0.488573i | ||||
\(785\) | −10.7472 | − | 10.7472i | −0.383583 | − | 0.383583i | ||||
\(786\) | 1.19109 | − | 0.400641i | 0.0424847 | − | 0.0142904i | ||||
\(787\) | −1.46181 | + | 7.34903i | −0.0521080 | + | 0.261965i | −0.998054 | − | 0.0623605i | \(-0.980137\pi\) |
0.945946 | + | 0.324325i | \(0.105137\pi\) | |||||||
\(788\) | 1.90263 | + | 31.7230i | 0.0677786 | + | 1.13008i | ||||
\(789\) | −2.32954 | − | 1.55655i | −0.0829337 | − | 0.0554146i | ||||
\(790\) | 11.7044 | − | 1.50791i | 0.416423 | − | 0.0536489i | ||||
\(791\) | 0.951982 | + | 0.394324i | 0.0338486 | + | 0.0140205i | ||||
\(792\) | −1.37996 | − | 0.585093i | −0.0490348 | − | 0.0207904i | ||||
\(793\) | 16.0435 | − | 6.64545i | 0.569723 | − | 0.235987i | ||||
\(794\) | 12.3848 | + | 21.5891i | 0.439521 | + | 0.766170i | ||||
\(795\) | 2.24032 | + | 11.2629i | 0.0794561 | + | 0.399453i | ||||
\(796\) | 35.9808 | − | 9.42751i | 1.27531 | − | 0.334149i | ||||
\(797\) | −11.9523 | − | 17.8879i | −0.423373 | − | 0.633623i | 0.557061 | − | 0.830472i | \(-0.311929\pi\) |
−0.980434 | + | 0.196849i | \(0.936929\pi\) | |||||||
\(798\) | −1.81675 | − | 0.124135i | −0.0643121 | − | 0.00439434i | ||||
\(799\) | − | 3.56301i | − | 0.126050i | ||||||
\(800\) | −50.0416 | − | 45.1277i | −1.76924 | − | 1.59550i | ||||
\(801\) | − | 9.09499i | − | 0.321356i | ||||||
\(802\) | 0.0491125 | − | 0.718771i | 0.00173422 | − | 0.0253807i | ||||
\(803\) | −3.88814 | − | 5.81901i | −0.137209 | − | 0.205348i | ||||
\(804\) | −21.2097 | − | 12.4027i | −0.748008 | − | 0.437411i | ||||
\(805\) | −0.631158 | − | 3.17305i | −0.0222454 | − | 0.111835i | ||||
\(806\) | 5.38844 | − | 3.09113i | 0.189800 | − | 0.108880i | ||||
\(807\) | −13.5552 | + | 5.61474i | −0.477165 | + | 0.197648i | ||||
\(808\) | 9.18082 | + | 9.33483i | 0.322980 | + | 0.328398i | ||||
\(809\) | 25.4887 | + | 10.5578i | 0.896136 | + | 0.371192i | 0.782733 | − | 0.622357i | \(-0.213825\pi\) |
0.113403 | + | 0.993549i | \(0.463825\pi\) | |||||||
\(810\) | 0.743130 | + | 5.76817i | 0.0261109 | + | 0.202673i | ||||
\(811\) | −22.3281 | − | 14.9192i | −0.784047 | − | 0.523883i | 0.0979205 | − | 0.995194i | \(-0.468781\pi\) |
−0.881967 | + | 0.471311i | \(0.843781\pi\) | |||||||
\(812\) | −0.240634 | − | 0.213402i | −0.00844458 | − | 0.00748894i | ||||
\(813\) | 1.03547 | − | 5.20565i | 0.0363155 | − | 0.182570i | ||||
\(814\) | 0.187986 | + | 0.558873i | 0.00658889 | + | 0.0195885i | ||||
\(815\) | −0.647428 | − | 0.647428i | −0.0226784 | − | 0.0226784i | ||||
\(816\) | 21.9489 | + | 11.1283i | 0.768365 | + | 0.389568i | ||||
\(817\) | 35.0001 | − | 35.0001i | 1.22450 | − | 1.22450i | ||||
\(818\) | 6.68292 | + | 3.31872i | 0.233663 | + | 0.116036i | ||||
\(819\) | −0.709227 | − | 0.141074i | −0.0247824 | − | 0.00492953i | ||||
\(820\) | 11.7340 | − | 33.9476i | 0.409769 | − | 1.18550i | ||||
\(821\) | −28.1391 | + | 42.1131i | −0.982061 | + | 1.46976i | −0.102065 | + | 0.994778i | \(0.532545\pi\) |
−0.879996 | + | 0.474981i | \(0.842455\pi\) | |||||||
\(822\) | −10.9707 | + | 14.2155i | −0.382647 | + | 0.495823i | ||||
\(823\) | 13.8604 | − | 33.4619i | 0.483143 | − | 1.16641i | −0.474966 | − | 0.880004i | \(-0.657540\pi\) |
0.958109 | − | 0.286405i | \(-0.0924604\pi\) | |||||||
\(824\) | 21.0844 | − | 30.9939i | 0.734511 | − | 1.07972i | ||||
\(825\) | −2.41571 | − | 5.83204i | −0.0841043 | − | 0.203046i | ||||
\(826\) | 0.434642 | − | 1.60430i | 0.0151231 | − | 0.0558208i | ||||
\(827\) | 19.7636 | − | 3.93122i | 0.687247 | − | 0.136702i | 0.160899 | − | 0.986971i | \(-0.448561\pi\) |
0.526348 | + | 0.850269i | \(0.323561\pi\) | |||||||
\(828\) | −5.94563 | − | 7.83811i | −0.206625 | − | 0.272393i | ||||
\(829\) | 13.1032 | − | 8.75528i | 0.455093 | − | 0.304083i | −0.306814 | − | 0.951769i | \(-0.599263\pi\) |
0.761907 | + | 0.647686i | \(0.224263\pi\) | |||||||
\(830\) | 29.5602 | − | 25.7790i | 1.02605 | − | 0.894801i | ||||
\(831\) | 17.9885 | 0.624013 | ||||||||
\(832\) | 20.5936 | − | 29.7375i | 0.713956 | − | 1.03096i | ||||
\(833\) | 42.9080 | 1.48667 | ||||||||
\(834\) | 8.42299 | − | 7.34555i | 0.291664 | − | 0.254356i | ||||
\(835\) | −57.3879 | + | 38.3454i | −1.98599 | + | 1.32700i | ||||
\(836\) | 6.79857 | − | 5.15708i | 0.235133 | − | 0.178361i | ||||
\(837\) | 0.952830 | − | 0.189530i | 0.0329346 | − | 0.00655110i | ||||
\(838\) | −3.08504 | + | 11.3871i | −0.106571 | + | 0.393362i | ||||
\(839\) | −9.65125 | − | 23.3002i | −0.333198 | − | 0.804412i | −0.998335 | − | 0.0576897i | \(-0.981627\pi\) |
0.665136 | − | 0.746722i | \(-0.268373\pi\) | |||||||
\(840\) | 1.82746 | − | 0.347728i | 0.0630533 | − | 0.0119978i | ||||
\(841\) | 10.7109 | − | 25.8584i | 0.369341 | − | 0.891668i | ||||
\(842\) | −15.2926 | + | 19.8157i | −0.527018 | + | 0.682894i | ||||
\(843\) | −6.69498 | + | 10.0198i | −0.230587 | + | 0.345099i | ||||
\(844\) | 25.5291 | + | 8.82413i | 0.878747 | + | 0.303739i | ||||
\(845\) | −30.0248 | − | 5.97231i | −1.03289 | − | 0.205454i | ||||
\(846\) | −0.733562 | − | 0.364284i | −0.0252204 | − | 0.0125244i | ||||
\(847\) | 1.21220 | − | 1.21220i | 0.0416517 | − | 0.0416517i | ||||
\(848\) | 8.47890 | − | 7.27104i | 0.291167 | − | 0.249689i | ||||
\(849\) | 20.8032 | + | 20.8032i | 0.713965 | + | 0.713965i | ||||
\(850\) | 33.0419 | + | 98.2324i | 1.13333 | + | 3.36934i | ||||
\(851\) | −0.755033 | + | 3.79581i | −0.0258822 | + | 0.130119i | ||||
\(852\) | 13.2138 | − | 14.9000i | 0.452698 | − | 0.510465i | ||||
\(853\) | −31.9309 | − | 21.3356i | −1.09329 | − | 0.730515i | −0.128024 | − | 0.991771i | \(-0.540863\pi\) |
−0.965270 | + | 0.261256i | \(0.915863\pi\) | |||||||
\(854\) | −0.110993 | − | 0.861528i | −0.00379811 | − | 0.0294809i | ||||
\(855\) | −30.5897 | − | 12.6707i | −1.04615 | − | 0.433328i | ||||
\(856\) | 30.0577 | + | 0.250014i | 1.02735 | + | 0.00854532i | ||||
\(857\) | 5.72004 | − | 2.36932i | 0.195393 | − | 0.0809343i | −0.282841 | − | 0.959167i | \(-0.591277\pi\) |
0.478234 | + | 0.878232i | \(0.341277\pi\) | |||||||
\(858\) | 2.93929 | − | 1.68615i | 0.100346 | − | 0.0575643i | ||||
\(859\) | 4.46439 | + | 22.4440i | 0.152323 | + | 0.765779i | 0.979121 | + | 0.203280i | \(0.0651601\pi\) |
−0.826798 | + | 0.562499i | \(0.809840\pi\) | |||||||
\(860\) | −25.5249 | + | 43.6497i | −0.870392 | + | 1.48844i | ||||
\(861\) | 0.388022 | + | 0.580715i | 0.0132237 | + | 0.0197907i | ||||
\(862\) | 1.20799 | − | 17.6792i | 0.0411444 | − | 0.602156i | ||||
\(863\) | − | 0.983709i | − | 0.0334858i | −0.999860 | − | 0.0167429i | \(-0.994670\pi\) | ||
0.999860 | − | 0.0167429i | \(-0.00532968\pi\) | |||||||
\(864\) | 4.53519 | − | 3.38113i | 0.154290 | − | 0.115028i | ||||
\(865\) | 58.7891i | 1.99889i | ||||||||
\(866\) | 13.2667 | + | 0.906491i | 0.450820 | + | 0.0308038i | ||||
\(867\) | −11.5834 | − | 17.3357i | −0.393392 | − | 0.588752i | ||||
\(868\) | −0.0787602 | − | 0.300595i | −0.00267330 | − | 0.0102028i | ||||
\(869\) | −0.209781 | − | 1.05464i | −0.00711634 | − | 0.0357762i | ||||
\(870\) | −2.90996 | − | 5.07263i | −0.0986569 | − | 0.171978i | ||||
\(871\) | 51.3182 | − | 21.2567i | 1.73885 | − | 0.720256i | ||||
\(872\) | −6.01141 | − | 14.8612i | −0.203572 | − | 0.503265i | ||||
\(873\) | −1.12465 | − | 0.465847i | −0.0380637 | − | 0.0157665i | ||||
\(874\) | 55.5495 | − | 7.15660i | 1.87899 | − | 0.242076i | ||||
\(875\) | 3.77986 | + | 2.52562i | 0.127783 | + | 0.0853816i | ||||
\(876\) | 26.3653 | − | 1.58130i | 0.890800 | − | 0.0534271i | ||||
\(877\) | 4.03552 | − | 20.2879i | 0.136270 | − | 0.685074i | −0.850891 | − | 0.525343i | \(-0.823937\pi\) |
0.987160 | − | 0.159732i | \(-0.0510629\pi\) | |||||||
\(878\) | −18.1759 | + | 6.11374i | −0.613407 | + | 0.206329i | ||||
\(879\) | −11.8932 | − | 11.8932i | −0.401147 | − | 0.401147i | ||||
\(880\) | −5.38308 | + | 6.85656i | −0.181464 | + | 0.231135i | ||||
\(881\) | −18.2942 | + | 18.2942i | −0.616347 | + | 0.616347i | −0.944592 | − | 0.328245i | \(-0.893543\pi\) |
0.328245 | + | 0.944592i | \(0.393543\pi\) | |||||||
\(882\) | 4.38695 | − | 8.83402i | 0.147716 | − | 0.297457i | ||||
\(883\) | 31.5867 | + | 6.28298i | 1.06298 | + | 0.211439i | 0.695450 | − | 0.718574i | \(-0.255205\pi\) |
0.367526 | + | 0.930013i | \(0.380205\pi\) | |||||||
\(884\) | −50.0327 | + | 24.3294i | −1.68278 | + | 0.818287i | ||||
\(885\) | 16.7904 | − | 25.1286i | 0.564402 | − | 0.844687i | ||||
\(886\) | 4.33510 | + | 3.34558i | 0.145641 | + | 0.112397i | ||||
\(887\) | 2.95376 | − | 7.13100i | 0.0991775 | − | 0.239436i | −0.866501 | − | 0.499175i | \(-0.833637\pi\) |
0.965679 | + | 0.259739i | \(0.0836366\pi\) | |||||||
\(888\) | −2.17890 | − | 0.452283i | −0.0731192 | − | 0.0151776i | ||||
\(889\) | 0.487260 | + | 1.17635i | 0.0163422 | + | 0.0394535i | ||||
\(890\) | −51.0545 | − | 13.8318i | −1.71135 | − | 0.463644i | ||||
\(891\) | 0.519750 | − | 0.103385i | 0.0174123 | − | 0.00346352i | ||||
\(892\) | −30.8781 | − | 4.23950i | −1.03388 | − | 0.141949i | ||||
\(893\) | 3.87700 | − | 2.59053i | 0.129739 | − | 0.0866887i | ||||
\(894\) | −10.6731 | − | 12.2386i | −0.356962 | − | 0.409321i | ||||
\(895\) | −61.5798 | −2.05838 | ||||||||
\(896\) | −1.16639 | − | 1.38327i | −0.0389664 | − | 0.0462118i | ||||
\(897\) | 22.2413 | 0.742616 | ||||||||
\(898\) | 13.8901 | + | 15.9275i | 0.463519 | + | 0.531508i | ||||
\(899\) | −0.812240 | + | 0.542721i | −0.0270897 | + | 0.0181008i | ||||
\(900\) | 23.6026 | + | 3.24058i | 0.786753 | + | 0.108019i | ||||
\(901\) | −16.8493 | + | 3.35153i | −0.561331 | + | 0.111656i | ||||
\(902\) | −3.15896 | − | 0.855835i | −0.105182 | − | 0.0284962i | ||||
\(903\) | −0.376261 | − | 0.908375i | −0.0125212 | − | 0.0302288i | ||||
\(904\) | 3.70376 | − | 17.8431i | 0.123185 | − | 0.593453i | ||||
\(905\) | −2.45342 | + | 5.92307i | −0.0815544 | + | 0.196890i | ||||
\(906\) | −15.4150 | − | 11.8964i | −0.512129 | − | 0.395231i | ||||
\(907\) | 23.8710 | − | 35.7254i | 0.792623 | − | 1.18624i | −0.186396 | − | 0.982475i | \(-0.559681\pi\) |
0.979019 | − | 0.203769i | \(-0.0653192\pi\) | |||||||
\(908\) | 8.70557 | − | 4.23326i | 0.288905 | − | 0.140486i | ||||
\(909\) | −4.54013 | − | 0.903088i | −0.150587 | − | 0.0299535i | ||||
\(910\) | −1.87052 | + | 3.76668i | −0.0620072 | + | 0.124864i | ||||
\(911\) | 20.0142 | − | 20.0142i | 0.663099 | − | 0.663099i | −0.293011 | − | 0.956109i | \(-0.594657\pi\) |
0.956109 | + | 0.293011i | \(0.0946571\pi\) | |||||||
\(912\) | 3.84924 | + | 31.9741i | 0.127461 | + | 1.05877i | ||||
\(913\) | −2.52710 | − | 2.52710i | −0.0836347 | − | 0.0836347i | ||||
\(914\) | −33.7662 | + | 11.3578i | −1.11689 | + | 0.375682i | ||||
\(915\) | 3.08130 | − | 15.4908i | 0.101865 | − | 0.512109i | ||||
\(916\) | 47.1600 | − | 2.82849i | 1.55821 | − | 0.0934561i | ||||
\(917\) | 0.118162 | + | 0.0789534i | 0.00390206 | + | 0.00260727i | ||||
\(918\) | −8.62920 | + | 1.11172i | −0.284806 | + | 0.0366924i | ||||
\(919\) | −34.2127 | − | 14.1714i | −1.12857 | − | 0.467471i | −0.261278 | − | 0.965264i | \(-0.584144\pi\) |
−0.867296 | + | 0.497793i | \(0.834144\pi\) | |||||||
\(920\) | −53.0412 | + | 21.4553i | −1.74872 | + | 0.707360i | ||||
\(921\) | −0.979602 | + | 0.405764i | −0.0322790 | + | 0.0133704i | ||||
\(922\) | −19.0644 | − | 33.2329i | −0.627851 | − | 1.09447i | ||||
\(923\) | 8.78361 | + | 44.1582i | 0.289116 | + | 1.45348i | ||||
\(924\) | −0.0429622 | − | 0.163969i | −0.00141335 | − | 0.00539417i | ||||
\(925\) | −5.20687 | − | 7.79263i | −0.171201 | − | 0.256220i | ||||
\(926\) | 51.0152 | + | 3.48579i | 1.67646 | + | 0.114550i | ||||
\(927\) | 13.2532i | 0.435291i | ||||||||
\(928\) | −2.91209 | + | 4.88619i | −0.0955941 | + | 0.160397i | ||||
\(929\) | 20.5329i | 0.673662i | 0.941565 | + | 0.336831i | \(0.109355\pi\) | ||||
−0.941565 | + | 0.336831i | \(0.890645\pi\) | |||||||
\(930\) | 0.385162 | − | 5.63693i | 0.0126300 | − | 0.184842i | ||||
\(931\) | 31.1968 | + | 46.6893i | 1.02243 | + | 1.53018i | ||||
\(932\) | 26.8713 | − | 45.9521i | 0.880198 | − | 1.50521i | ||||
\(933\) | 0.00312801 | + | 0.0157256i | 0.000102407 | + | 0.000514833i | ||||
\(934\) | −30.1987 | + | 17.3238i | −0.988133 | + | 0.566852i | ||||
\(935\) | 12.3869 | − | 5.13083i | 0.405096 | − | 0.167796i | ||||
\(936\) | −0.106371 | + | 12.7883i | −0.00347684 | + | 0.417999i | ||||
\(937\) | 12.0887 | + | 5.00729i | 0.394919 | + | 0.163581i | 0.571301 | − | 0.820741i | \(-0.306439\pi\) |
−0.176381 | + | 0.984322i | \(0.556439\pi\) | |||||||
\(938\) | −0.355032 | − | 2.75576i | −0.0115922 | − | 0.0899787i | ||||
\(939\) | 12.3919 | + | 8.27997i | 0.404393 | + | 0.270207i | ||||
\(940\) | −3.16052 | + | 3.56382i | −0.103085 | + | 0.116239i | ||||
\(941\) | −7.73824 | + | 38.9028i | −0.252260 | + | 1.26819i | 0.622109 | + | 0.782931i | \(0.286276\pi\) |
−0.874368 | + | 0.485263i | \(0.838724\pi\) | |||||||
\(942\) | −1.66634 | − | 4.95395i | −0.0542922 | − | 0.161408i | ||||
\(943\) | −15.1898 | − | 15.1898i | −0.494647 | − | 0.494647i | ||||
\(944\) | −29.3096 | − | 2.24775i | −0.953947 | − | 0.0731580i | ||||
\(945\) | −0.465062 | + | 0.465062i | −0.0151285 | + | 0.0151285i | ||||
\(946\) | 4.12660 | + | 2.04926i | 0.134167 | + | 0.0666271i | ||||
\(947\) | −26.5144 | − | 5.27405i | −0.861604 | − | 0.171384i | −0.255539 | − | 0.966799i | \(-0.582253\pi\) |
−0.606065 | + | 0.795415i | \(0.707253\pi\) | |||||||
\(948\) | 3.83560 | + | 1.32577i | 0.124574 | + | 0.0430591i | ||||
\(949\) | −33.1745 | + | 49.6491i | −1.07689 | + | 1.61168i | ||||
\(950\) | −82.8656 | + | 107.375i | −2.68851 | + | 3.48370i | ||||
\(951\) | −9.19734 | + | 22.2043i | −0.298244 | + | 0.720025i | ||||
\(952\) | 0.520202 | + | 2.73388i | 0.0168599 | + | 0.0886056i | ||||
\(953\) | −13.7257 | − | 33.1368i | −0.444619 | − | 1.07341i | −0.974309 | − | 0.225214i | \(-0.927692\pi\) |
0.529690 | − | 0.848191i | \(-0.322308\pi\) | |||||||
\(954\) | −1.03266 | + | 3.81164i | −0.0334336 | + | 0.123406i | ||||
\(955\) | −105.392 | + | 20.9638i | −3.41041 | + | 0.678373i | ||||
\(956\) | 8.12774 | − | 6.16533i | 0.262870 | − | 0.199401i | ||||
\(957\) | −0.443061 | + | 0.296044i | −0.0143221 | + | 0.00956975i | ||||
\(958\) | −14.6328 | + | 12.7610i | −0.472764 | + | 0.412289i | ||||
\(959\) | −2.03065 | −0.0655732 | ||||||||
\(960\) | −12.0827 | − | 30.6003i | −0.389967 | − | 0.987620i | ||||
\(961\) | 30.0562 | 0.969555 | ||||||||
\(962\) | 3.79166 | − | 3.30665i | 0.122248 | − | 0.106611i | ||||
\(963\) | −8.83634 | + | 5.90426i | −0.284747 | + | 0.190262i | ||||
\(964\) | −13.4380 | − | 17.7153i | −0.432808 | − | 0.570570i | ||||
\(965\) | 12.1074 | − | 2.40831i | 0.389752 | − | 0.0775264i | ||||
\(966\) | 0.290928 | − | 1.07384i | 0.00936045 | − | 0.0345502i | ||||
\(967\) | −10.5094 | − | 25.3719i | −0.337959 | − | 0.815905i | −0.997911 | − | 0.0645976i | \(-0.979424\pi\) |
0.659953 | − | 0.751307i | \(-0.270576\pi\) | |||||||
\(968\) | −25.0679 | − | 17.0531i | −0.805711 | − | 0.548107i | ||||
\(969\) | 18.9554 | − | 45.7623i | 0.608934 | − | 1.47010i | ||||
\(970\) | −4.32541 | + | 5.60475i | −0.138881 | + | 0.179958i | ||||
\(971\) | 21.7675 | − | 32.5773i | 0.698551 | − | 1.04546i | −0.297329 | − | 0.954775i | \(-0.596096\pi\) |
0.995880 | − | 0.0906809i | \(-0.0289043\pi\) | |||||||
\(972\) | −0.653371 | + | 1.89027i | −0.0209569 | + | 0.0606303i | ||||
\(973\) | 1.23958 | + | 0.246568i | 0.0397391 | + | 0.00790461i | ||||
\(974\) | 17.1610 | + | 8.52209i | 0.549873 | + | 0.273065i | ||||
\(975\) | −38.0849 | + | 38.0849i | −1.21969 | + | 1.21969i | ||||
\(976\) | −14.6011 | + | 4.77648i | −0.467369 | + | 0.152891i | ||||
\(977\) | −20.7541 | − | 20.7541i | −0.663981 | − | 0.663981i | 0.292335 | − | 0.956316i | \(-0.405568\pi\) |
−0.956316 | + | 0.292335i | \(0.905568\pi\) | |||||||
\(978\) | −0.100383 | − | 0.298434i | −0.00320989 | − | 0.00954287i | ||||
\(979\) | −0.940283 | + | 4.72712i | −0.0300516 | + | 0.151079i | ||||
\(980\) | −42.9178 | − | 38.0610i | −1.37096 | − | 1.21581i | ||||
\(981\) | 4.71262 | + | 3.14887i | 0.150462 | + | 0.100536i | ||||
\(982\) | 3.33828 | + | 25.9117i | 0.106529 | + | 0.826877i | ||||
\(983\) | −12.2377 | − | 5.06903i | −0.390322 | − | 0.161677i | 0.178887 | − | 0.983870i | \(-0.442750\pi\) |
−0.569209 | + | 0.822193i | \(0.692750\pi\) | |||||||
\(984\) | 8.80646 | − | 8.66117i | 0.280740 | − | 0.276108i | ||||
\(985\) | −60.3721 | + | 25.0070i | −1.92362 | + | 0.796788i | ||||
\(986\) | 7.58866 | − | 4.35331i | 0.241672 | − | 0.138638i | ||||
\(987\) | −0.0180697 | − | 0.0908424i | −0.000575164 | − | 0.00289154i | ||||
\(988\) | −62.8503 | − | 36.7528i | −1.99953 | − | 1.16926i | ||||
\(989\) | 16.8011 | + | 25.1446i | 0.534244 | + | 0.799553i | ||||
\(990\) | 0.210099 | − | 3.07483i | 0.00667737 | − | 0.0977247i | ||||
\(991\) | 10.4419i | 0.331697i | 0.986151 | + | 0.165848i | \(0.0530362\pi\) | ||||
−0.986151 | + | 0.165848i | \(0.946964\pi\) | |||||||
\(992\) | −4.96209 | + | 2.36209i | −0.157546 | + | 0.0749964i | ||||
\(993\) | 10.3252i | 0.327662i | ||||||||
\(994\) | 2.24691 | + | 0.153528i | 0.0712676 | + | 0.00486960i | ||||
\(995\) | 42.4909 | + | 63.5921i | 1.34705 | + | 2.01601i | ||||
\(996\) | 13.0475 | − | 3.41865i | 0.413427 | − | 0.108324i | ||||
\(997\) | −5.17776 | − | 26.0304i | −0.163981 | − | 0.824390i | −0.971954 | − | 0.235170i | \(-0.924435\pi\) |
0.807973 | − | 0.589220i | \(-0.200565\pi\) | |||||||
\(998\) | −0.714025 | − | 1.24468i | −0.0226021 | − | 0.0393998i | ||||
\(999\) | 0.726889 | − | 0.301087i | 0.0229978 | − | 0.00952598i |
(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 | 192.2.r.a.13.13 | ✓ | 128 | |
3.2 | odd | 2 | 576.2.bd.b.397.4 | 128 | |||
4.3 | odd | 2 | 768.2.r.a.145.9 | 128 | |||
64.5 | even | 16 | inner | 192.2.r.a.133.13 | yes | 128 | |
64.59 | odd | 16 | 768.2.r.a.625.9 | 128 | |||
192.5 | odd | 16 | 576.2.bd.b.325.4 | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
192.2.r.a.13.13 | ✓ | 128 | 1.1 | even | 1 | trivial | |
192.2.r.a.133.13 | yes | 128 | 64.5 | even | 16 | inner | |
576.2.bd.b.325.4 | 128 | 192.5 | odd | 16 | |||
576.2.bd.b.397.4 | 128 | 3.2 | odd | 2 | |||
768.2.r.a.145.9 | 128 | 4.3 | odd | 2 | |||
768.2.r.a.625.9 | 128 | 64.59 | odd | 16 |