Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(13,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
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("384.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.v (of order \(32\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 229.1 | ||
Character | \(\chi\) | \(=\) | 384.229 |
Dual form | 384.2.v.a.109.1 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{9}{32}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40608 | + | 0.151468i | −0.994248 | + | 0.107104i | ||||
\(3\) | −0.881921 | + | 0.471397i | −0.509177 | + | 0.272161i | ||||
\(4\) | 1.95411 | − | 0.425952i | 0.977057 | − | 0.212976i | ||||
\(5\) | 0.410605 | + | 0.500324i | 0.183628 | + | 0.223752i | 0.856686 | − | 0.515838i | \(-0.172519\pi\) |
−0.673058 | + | 0.739590i | \(0.735019\pi\) | |||||||
\(6\) | 1.16865 | − | 0.796404i | 0.477099 | − | 0.325130i | ||||
\(7\) | 3.77588 | − | 2.52296i | 1.42715 | − | 0.953589i | 0.428398 | − | 0.903590i | \(-0.359078\pi\) |
0.998749 | − | 0.0499992i | \(-0.0159219\pi\) | |||||||
\(8\) | −2.68312 | + | 0.894907i | −0.948627 | + | 0.316397i | ||||
\(9\) | 0.555570 | − | 0.831470i | 0.185190 | − | 0.277157i | ||||
\(10\) | −0.653126 | − | 0.641301i | −0.206537 | − | 0.202797i | ||||
\(11\) | −0.820483 | + | 0.248891i | −0.247385 | + | 0.0750434i | −0.411542 | − | 0.911391i | \(-0.635010\pi\) |
0.164157 | + | 0.986434i | \(0.447510\pi\) | |||||||
\(12\) | −1.52258 | + | 1.29682i | −0.439532 | + | 0.374359i | ||||
\(13\) | −4.17659 | − | 3.42764i | −1.15838 | − | 0.950655i | −0.159048 | − | 0.987271i | \(-0.550842\pi\) |
−0.999329 | + | 0.0366154i | \(0.988342\pi\) | |||||||
\(14\) | −4.92703 | + | 4.11940i | −1.31680 | + | 1.10096i | ||||
\(15\) | −0.597972 | − | 0.247688i | −0.154396 | − | 0.0639528i | ||||
\(16\) | 3.63713 | − | 1.66472i | 0.909283 | − | 0.416179i | ||||
\(17\) | 1.11235 | − | 0.460750i | 0.269784 | − | 0.111748i | −0.243690 | − | 0.969853i | \(-0.578358\pi\) |
0.513474 | + | 0.858105i | \(0.328358\pi\) | |||||||
\(18\) | −0.655235 | + | 1.25326i | −0.154440 | + | 0.295397i | ||||
\(19\) | 0.204056 | + | 2.07182i | 0.0468138 | + | 0.475308i | 0.989799 | + | 0.142473i | \(0.0455053\pi\) |
−0.942985 | + | 0.332835i | \(0.891995\pi\) | |||||||
\(20\) | 1.01548 | + | 0.802792i | 0.227069 | + | 0.179510i | ||||
\(21\) | −2.14071 | + | 4.00499i | −0.467141 | + | 0.873960i | ||||
\(22\) | 1.11596 | − | 0.474237i | 0.237924 | − | 0.101108i | ||||
\(23\) | 5.13036 | − | 1.02049i | 1.06975 | − | 0.212787i | 0.371351 | − | 0.928493i | \(-0.378895\pi\) |
0.698402 | + | 0.715705i | \(0.253895\pi\) | |||||||
\(24\) | 1.94445 | − | 2.05405i | 0.396908 | − | 0.419282i | ||||
\(25\) | 0.893724 | − | 4.49306i | 0.178745 | − | 0.898611i | ||||
\(26\) | 6.39179 | + | 4.18691i | 1.25353 | + | 0.821120i | ||||
\(27\) | −0.0980171 | + | 0.995185i | −0.0188634 | + | 0.191523i | ||||
\(28\) | 6.30384 | − | 6.53849i | 1.19131 | − | 1.23566i | ||||
\(29\) | 2.48204 | − | 8.18218i | 0.460903 | − | 1.51939i | −0.351439 | − | 0.936211i | \(-0.614308\pi\) |
0.812342 | − | 0.583182i | \(-0.198192\pi\) | |||||||
\(30\) | 0.878313 | + | 0.257696i | 0.160357 | + | 0.0470486i | ||||
\(31\) | 2.53778 | + | 2.53778i | 0.455798 | + | 0.455798i | 0.897274 | − | 0.441475i | \(-0.145545\pi\) |
−0.441475 | + | 0.897274i | \(0.645545\pi\) | |||||||
\(32\) | −4.86194 | + | 2.89163i | −0.859478 | + | 0.511173i | ||||
\(33\) | 0.606275 | − | 0.606275i | 0.105539 | − | 0.105539i | ||||
\(34\) | −1.49426 | + | 0.816335i | −0.256263 | + | 0.140000i | ||||
\(35\) | 2.81269 | + | 0.853220i | 0.475432 | + | 0.144221i | ||||
\(36\) | 0.731482 | − | 1.86143i | 0.121914 | − | 0.310239i | ||||
\(37\) | 1.74480 | + | 0.171848i | 0.286844 | + | 0.0282516i | 0.240416 | − | 0.970670i | \(-0.422716\pi\) |
0.0464279 | + | 0.998922i | \(0.485216\pi\) | |||||||
\(38\) | −0.600734 | − | 2.88223i | −0.0974519 | − | 0.467560i | ||||
\(39\) | 5.29920 | + | 1.05408i | 0.848551 | + | 0.168787i | ||||
\(40\) | −1.54945 | − | 0.974976i | −0.244989 | − | 0.154157i | ||||
\(41\) | 1.07035 | + | 5.38099i | 0.167160 | + | 0.840369i | 0.969799 | + | 0.243905i | \(0.0784284\pi\) |
−0.802639 | + | 0.596465i | \(0.796572\pi\) | |||||||
\(42\) | 2.40338 | − | 5.95558i | 0.370850 | − | 0.918966i | ||||
\(43\) | 7.39874 | + | 3.95471i | 1.12830 | + | 0.603087i | 0.926483 | − | 0.376337i | \(-0.122816\pi\) |
0.201814 | + | 0.979424i | \(0.435316\pi\) | |||||||
\(44\) | −1.49730 | + | 0.835847i | −0.225727 | + | 0.126009i | ||||
\(45\) | 0.644124 | − | 0.0634407i | 0.0960203 | − | 0.00945718i | ||||
\(46\) | −7.05911 | + | 2.21198i | −1.04081 | + | 0.326138i | ||||
\(47\) | −0.0457850 | − | 0.110535i | −0.00667843 | − | 0.0161231i | 0.920505 | − | 0.390730i | \(-0.127778\pi\) |
−0.927184 | + | 0.374607i | \(0.877778\pi\) | |||||||
\(48\) | −2.42292 | + | 3.18268i | −0.349718 | + | 0.459380i | ||||
\(49\) | 5.21313 | − | 12.5856i | 0.744733 | − | 1.79795i | ||||
\(50\) | −0.576093 | + | 6.45296i | −0.0814719 | + | 0.912586i | ||||
\(51\) | −0.763807 | + | 0.930702i | −0.106954 | + | 0.130324i | ||||
\(52\) | −9.62154 | − | 4.91897i | −1.33427 | − | 0.682139i | ||||
\(53\) | −3.07185 | − | 10.1265i | −0.421951 | − | 1.39099i | −0.868261 | − | 0.496108i | \(-0.834762\pi\) |
0.446309 | − | 0.894879i | \(-0.352738\pi\) | |||||||
\(54\) | −0.0129187 | − | 1.41415i | −0.00175802 | − | 0.192442i | ||||
\(55\) | −0.461420 | − | 0.308311i | −0.0622179 | − | 0.0415727i | ||||
\(56\) | −7.87332 | + | 10.1485i | −1.05212 | + | 1.35615i | ||||
\(57\) | −1.15661 | − | 1.73099i | −0.153197 | − | 0.229275i | ||||
\(58\) | −2.25060 | + | 11.8807i | −0.295518 | + | 1.56002i | ||||
\(59\) | −0.373783 | + | 0.306755i | −0.0486623 | + | 0.0399361i | −0.658410 | − | 0.752659i | \(-0.728771\pi\) |
0.609748 | + | 0.792596i | \(0.291271\pi\) | |||||||
\(60\) | −1.27401 | − | 0.229304i | −0.164474 | − | 0.0296030i | ||||
\(61\) | 3.11144 | + | 5.82110i | 0.398379 | + | 0.745315i | 0.998509 | − | 0.0545877i | \(-0.0173844\pi\) |
−0.600130 | + | 0.799903i | \(0.704884\pi\) | |||||||
\(62\) | −3.95271 | − | 3.18392i | −0.501994 | − | 0.404359i | ||||
\(63\) | − | 4.54121i | − | 0.572138i | ||||||
\(64\) | 6.39828 | − | 4.80229i | 0.799785 | − | 0.600286i | ||||
\(65\) | − | 3.49705i | − | 0.433756i | ||||||
\(66\) | −0.760639 | + | 0.944301i | −0.0936282 | + | 0.116235i | ||||
\(67\) | −1.96716 | − | 3.68030i | −0.240327 | − | 0.449620i | 0.732624 | − | 0.680634i | \(-0.238296\pi\) |
−0.972950 | + | 0.231014i | \(0.925796\pi\) | |||||||
\(68\) | 1.97740 | − | 1.37416i | 0.239795 | − | 0.166642i | ||||
\(69\) | −4.04351 | + | 3.31843i | −0.486782 | + | 0.399492i | ||||
\(70\) | −4.08410 | − | 0.773663i | −0.488143 | − | 0.0924704i | ||||
\(71\) | 5.37870 | + | 8.04979i | 0.638334 | + | 0.955335i | 0.999737 | + | 0.0229250i | \(0.00729789\pi\) |
−0.361403 | + | 0.932410i | \(0.617702\pi\) | |||||||
\(72\) | −0.746574 | + | 2.72812i | −0.0879846 | + | 0.321512i | ||||
\(73\) | 0.580721 | + | 0.388026i | 0.0679683 | + | 0.0454150i | 0.589090 | − | 0.808067i | \(-0.299486\pi\) |
−0.521122 | + | 0.853482i | \(0.674486\pi\) | |||||||
\(74\) | −2.47936 | + | 0.0226497i | −0.288220 | + | 0.00263297i | ||||
\(75\) | 1.32982 | + | 4.38382i | 0.153554 | + | 0.506200i | ||||
\(76\) | 1.28124 | + | 3.96166i | 0.146969 | + | 0.454433i | ||||
\(77\) | −2.47010 | + | 3.00983i | −0.281494 | + | 0.343002i | ||||
\(78\) | −7.61075 | − | 0.679456i | −0.861748 | − | 0.0769332i | ||||
\(79\) | −4.16297 | + | 10.0503i | −0.468370 | + | 1.13075i | 0.496504 | + | 0.868035i | \(0.334617\pi\) |
−0.964874 | + | 0.262712i | \(0.915383\pi\) | |||||||
\(80\) | 2.32632 | + | 1.13620i | 0.260091 | + | 0.127031i | ||||
\(81\) | −0.382683 | − | 0.923880i | −0.0425204 | − | 0.102653i | ||||
\(82\) | −2.32004 | − | 7.40397i | −0.256205 | − | 0.817632i | ||||
\(83\) | −4.25592 | + | 0.419172i | −0.467148 | + | 0.0460101i | −0.328853 | − | 0.944381i | \(-0.606662\pi\) |
−0.138295 | + | 0.990391i | \(0.544162\pi\) | |||||||
\(84\) | −2.47726 | + | 8.73805i | −0.270292 | + | 0.953399i | ||||
\(85\) | 0.687260 | + | 0.367348i | 0.0745438 | + | 0.0398445i | ||||
\(86\) | −11.0022 | − | 4.43996i | −1.18640 | − | 0.478773i | ||||
\(87\) | 1.66809 | + | 8.38606i | 0.178838 | + | 0.899080i | ||||
\(88\) | 1.97872 | − | 1.40206i | 0.210932 | − | 0.149460i | ||||
\(89\) | −13.0939 | − | 2.60454i | −1.38795 | − | 0.276081i | −0.556117 | − | 0.831104i | \(-0.687710\pi\) |
−0.831835 | + | 0.555023i | \(0.812710\pi\) | |||||||
\(90\) | −0.896080 | + | 0.186767i | −0.0944551 | + | 0.0196869i | ||||
\(91\) | −24.4181 | − | 2.40497i | −2.55971 | − | 0.252109i | ||||
\(92\) | 9.59063 | − | 4.17944i | 0.999892 | − | 0.435737i | ||||
\(93\) | −3.43442 | − | 1.04182i | −0.356133 | − | 0.108032i | ||||
\(94\) | 0.0811198 | + | 0.148486i | 0.00836687 | + | 0.0153151i | ||||
\(95\) | −0.952794 | + | 0.952794i | −0.0977546 | + | 0.0977546i | ||||
\(96\) | 2.92474 | − | 4.84209i | 0.298505 | − | 0.494194i | ||||
\(97\) | −0.365433 | − | 0.365433i | −0.0371041 | − | 0.0371041i | 0.688311 | − | 0.725415i | \(-0.258352\pi\) |
−0.725415 | + | 0.688311i | \(0.758352\pi\) | |||||||
\(98\) | −5.42376 | + | 18.4860i | −0.547882 | + | 1.86737i | ||||
\(99\) | −0.248891 | + | 0.820483i | −0.0250145 | + | 0.0824616i | ||||
\(100\) | −0.167384 | − | 9.16063i | −0.0167384 | − | 0.916063i | ||||
\(101\) | −1.26127 | + | 12.8059i | −0.125501 | + | 1.27423i | 0.701761 | + | 0.712413i | \(0.252398\pi\) |
−0.827261 | + | 0.561817i | \(0.810102\pi\) | |||||||
\(102\) | 0.933002 | − | 1.42433i | 0.0923809 | − | 0.141030i | ||||
\(103\) | 3.19636 | − | 16.0692i | 0.314947 | − | 1.58334i | −0.421487 | − | 0.906834i | \(-0.638492\pi\) |
0.736434 | − | 0.676510i | \(-0.236508\pi\) | |||||||
\(104\) | 14.2737 | + | 5.45911i | 1.39965 | + | 0.535310i | ||||
\(105\) | −2.88278 | + | 0.573420i | −0.281330 | + | 0.0559601i | ||||
\(106\) | 5.85311 | + | 13.7734i | 0.568504 | + | 1.33779i | ||||
\(107\) | 4.61675 | − | 8.63732i | 0.446318 | − | 0.835002i | −0.553680 | − | 0.832730i | \(-0.686777\pi\) |
0.999997 | − | 0.00227193i | \(-0.000723180\pi\) | |||||||
\(108\) | 0.232364 | + | 1.98646i | 0.0223592 | + | 0.191147i | ||||
\(109\) | 2.00704 | + | 20.3779i | 0.192240 | + | 1.95184i | 0.290974 | + | 0.956731i | \(0.406021\pi\) |
−0.0987341 | + | 0.995114i | \(0.531479\pi\) | |||||||
\(110\) | 0.695493 | + | 0.363619i | 0.0663126 | + | 0.0346698i | ||||
\(111\) | −1.61979 | + | 0.670937i | −0.153743 | + | 0.0636826i | ||||
\(112\) | 9.53334 | − | 15.4621i | 0.900816 | − | 1.46103i | ||||
\(113\) | −18.9748 | − | 7.85960i | −1.78499 | − | 0.739369i | −0.991391 | − | 0.130934i | \(-0.958202\pi\) |
−0.793604 | − | 0.608435i | \(-0.791798\pi\) | |||||||
\(114\) | 1.88848 | + | 2.25872i | 0.176872 | + | 0.211548i | ||||
\(115\) | 2.61713 | + | 2.14782i | 0.244048 | + | 0.200285i | ||||
\(116\) | 1.36497 | − | 17.0461i | 0.126735 | − | 1.58269i | ||||
\(117\) | −5.17036 | + | 1.56841i | −0.478000 | + | 0.145000i | ||||
\(118\) | 0.479104 | − | 0.487938i | 0.0441051 | − | 0.0449184i | ||||
\(119\) | 3.03764 | − | 4.54614i | 0.278460 | − | 0.416744i | ||||
\(120\) | 1.82609 | + | 0.129448i | 0.166698 | + | 0.0118169i | ||||
\(121\) | −8.53492 | + | 5.70285i | −0.775902 | + | 0.518441i | ||||
\(122\) | −5.25664 | − | 7.71364i | −0.475914 | − | 0.698360i | ||||
\(123\) | −3.48054 | − | 4.24105i | −0.313830 | − | 0.382403i | ||||
\(124\) | 6.04008 | + | 3.87814i | 0.542415 | + | 0.348267i | ||||
\(125\) | 5.46903 | − | 2.92326i | 0.489165 | − | 0.261464i | ||||
\(126\) | 0.687847 | + | 6.38530i | 0.0612783 | + | 0.568847i | ||||
\(127\) | 1.12673 | 0.0999812 | 0.0499906 | − | 0.998750i | \(-0.484081\pi\) | ||||
0.0499906 | + | 0.998750i | \(0.484081\pi\) | |||||||
\(128\) | −8.26910 | + | 7.72153i | −0.730892 | + | 0.682493i | ||||
\(129\) | −8.38934 | −0.738640 | ||||||||
\(130\) | 0.529691 | + | 4.91713i | 0.0464570 | + | 0.431261i | ||||
\(131\) | 7.83452 | − | 4.18764i | 0.684505 | − | 0.365875i | −0.0921998 | − | 0.995741i | \(-0.529390\pi\) |
0.776705 | + | 0.629865i | \(0.216890\pi\) | |||||||
\(132\) | 0.926487 | − | 1.44297i | 0.0806404 | − | 0.125595i | ||||
\(133\) | 5.99761 | + | 7.30811i | 0.520059 | + | 0.633694i | ||||
\(134\) | 3.32343 | + | 4.87682i | 0.287100 | + | 0.421293i | ||||
\(135\) | −0.538161 | + | 0.359588i | −0.0463175 | + | 0.0309484i | ||||
\(136\) | −2.57224 | + | 2.23170i | −0.220567 | + | 0.191366i | ||||
\(137\) | 4.00919 | − | 6.00018i | 0.342528 | − | 0.512630i | −0.619713 | − | 0.784829i | \(-0.712751\pi\) |
0.962241 | + | 0.272199i | \(0.0877509\pi\) | |||||||
\(138\) | 5.18286 | − | 5.27843i | 0.441195 | − | 0.449330i | ||||
\(139\) | −16.0914 | + | 4.88127i | −1.36485 | + | 0.414024i | −0.885924 | − | 0.463830i | \(-0.846475\pi\) |
−0.478929 | + | 0.877854i | \(0.658975\pi\) | |||||||
\(140\) | 5.85975 | + | 0.469221i | 0.495239 | + | 0.0396564i | ||||
\(141\) | 0.0924845 | + | 0.0759000i | 0.00778860 | + | 0.00639194i | ||||
\(142\) | −8.78216 | − | 10.5039i | −0.736983 | − | 0.881471i | ||||
\(143\) | 4.27993 | + | 1.77280i | 0.357905 | + | 0.148249i | ||||
\(144\) | 0.636520 | − | 3.94903i | 0.0530433 | − | 0.329086i | ||||
\(145\) | 5.11287 | − | 2.11782i | 0.424601 | − | 0.175876i | ||||
\(146\) | −0.875313 | − | 0.457634i | −0.0724414 | − | 0.0378740i | ||||
\(147\) | 1.33525 | + | 13.5570i | 0.110129 | + | 1.11816i | ||||
\(148\) | 3.48274 | − | 0.407390i | 0.286280 | − | 0.0334873i | ||||
\(149\) | 5.80646 | − | 10.8631i | 0.475684 | − | 0.889942i | −0.523595 | − | 0.851967i | \(-0.675410\pi\) |
0.999279 | − | 0.0379743i | \(-0.0120905\pi\) | |||||||
\(150\) | −2.53384 | − | 5.96257i | −0.206887 | − | 0.486842i | ||||
\(151\) | −7.37135 | + | 1.46625i | −0.599872 | + | 0.119322i | −0.485680 | − | 0.874137i | \(-0.661428\pi\) |
−0.114192 | + | 0.993459i | \(0.536428\pi\) | |||||||
\(152\) | −2.40159 | − | 5.37633i | −0.194795 | − | 0.436078i | ||||
\(153\) | 0.234888 | − | 1.18086i | 0.0189896 | − | 0.0954670i | ||||
\(154\) | 3.01726 | − | 4.60619i | 0.243138 | − | 0.371178i | ||||
\(155\) | −0.227686 | + | 2.31174i | −0.0182882 | + | 0.185683i | ||||
\(156\) | 10.8042 | − | 0.197416i | 0.865031 | − | 0.0158059i | ||||
\(157\) | −5.72913 | + | 18.8864i | −0.457234 | + | 1.50730i | 0.361083 | + | 0.932534i | \(0.382407\pi\) |
−0.818318 | + | 0.574766i | \(0.805093\pi\) | |||||||
\(158\) | 4.33116 | − | 14.7621i | 0.344569 | − | 1.17441i | ||||
\(159\) | 7.48275 | + | 7.48275i | 0.593421 | + | 0.593421i | ||||
\(160\) | −3.44309 | − | 1.24523i | −0.272200 | − | 0.0984437i | ||||
\(161\) | 16.7969 | − | 16.7969i | 1.32378 | − | 1.32378i | ||||
\(162\) | 0.678021 | + | 1.24108i | 0.0532704 | + | 0.0975087i | ||||
\(163\) | 5.03712 | + | 1.52799i | 0.394537 | + | 0.119682i | 0.481318 | − | 0.876546i | \(-0.340158\pi\) |
−0.0867811 | + | 0.996227i | \(0.527658\pi\) | |||||||
\(164\) | 4.38362 | + | 10.0592i | 0.342303 | + | 0.785488i | ||||
\(165\) | 0.552273 | + | 0.0543942i | 0.0429944 | + | 0.00423458i | ||||
\(166\) | 5.92067 | − | 1.23402i | 0.459533 | − | 0.0957789i | ||||
\(167\) | 17.3677 | + | 3.45465i | 1.34395 | + | 0.267329i | 0.814082 | − | 0.580750i | \(-0.197241\pi\) |
0.529870 | + | 0.848079i | \(0.322241\pi\) | |||||||
\(168\) | 2.15969 | − | 12.6616i | 0.166624 | − | 0.976864i | ||||
\(169\) | 3.15902 | + | 15.8814i | 0.243001 | + | 1.22165i | ||||
\(170\) | −1.02198 | − | 0.412422i | −0.0783825 | − | 0.0316313i | ||||
\(171\) | 1.83602 | + | 0.981375i | 0.140404 | + | 0.0750476i | ||||
\(172\) | 16.1425 | + | 4.57645i | 1.23085 | + | 0.348951i | ||||
\(173\) | 14.6622 | − | 1.44410i | 1.11475 | − | 0.109793i | 0.476173 | − | 0.879352i | \(-0.342024\pi\) |
0.638576 | + | 0.769559i | \(0.279524\pi\) | |||||||
\(174\) | −3.61569 | − | 11.5388i | −0.274104 | − | 0.874754i | ||||
\(175\) | −7.96121 | − | 19.2201i | −0.601811 | − | 1.45290i | ||||
\(176\) | −2.56987 | + | 2.27112i | −0.193711 | + | 0.171192i | ||||
\(177\) | 0.185043 | − | 0.446734i | 0.0139087 | − | 0.0335786i | ||||
\(178\) | 18.8056 | + | 1.67888i | 1.40954 | + | 0.125838i | ||||
\(179\) | −4.72194 | + | 5.75370i | −0.352934 | + | 0.430052i | −0.918969 | − | 0.394330i | \(-0.870977\pi\) |
0.566035 | + | 0.824381i | \(0.308477\pi\) | |||||||
\(180\) | 1.23167 | − | 0.398336i | 0.0918032 | − | 0.0296902i | ||||
\(181\) | −5.02243 | − | 16.5567i | −0.373314 | − | 1.23065i | −0.919534 | − | 0.393010i | \(-0.871434\pi\) |
0.546220 | − | 0.837642i | \(-0.316066\pi\) | |||||||
\(182\) | 34.6980 | − | 0.316977i | 2.57199 | − | 0.0234959i | ||||
\(183\) | −5.48809 | − | 3.66702i | −0.405691 | − | 0.271074i | ||||
\(184\) | −12.8521 | + | 7.32930i | −0.947471 | + | 0.540323i | ||||
\(185\) | 0.630445 | + | 0.943527i | 0.0463512 | + | 0.0693695i | ||||
\(186\) | 4.98687 | + | 0.944677i | 0.365655 | + | 0.0692671i | ||||
\(187\) | −0.797986 | + | 0.654890i | −0.0583545 | + | 0.0478903i | ||||
\(188\) | −0.136552 | − | 0.196495i | −0.00995905 | − | 0.0143309i | ||||
\(189\) | 2.14071 | + | 4.00499i | 0.155714 | + | 0.291320i | ||||
\(190\) | 1.19539 | − | 1.48402i | 0.0867224 | − | 0.107662i | ||||
\(191\) | 2.61143i | 0.188956i | 0.995527 | + | 0.0944781i | \(0.0301182\pi\) | ||||
−0.995527 | + | 0.0944781i | \(0.969882\pi\) | |||||||
\(192\) | −3.37900 | + | 7.25137i | −0.243858 | + | 0.523323i | ||||
\(193\) | − | 9.51864i | − | 0.685166i | −0.939488 | − | 0.342583i | \(-0.888698\pi\) | ||
0.939488 | − | 0.342583i | \(-0.111302\pi\) | |||||||
\(194\) | 0.569179 | + | 0.458476i | 0.0408647 | + | 0.0329167i | ||||
\(195\) | 1.64850 | + | 3.08412i | 0.118051 | + | 0.220859i | ||||
\(196\) | 4.82620 | − | 26.8143i | 0.344728 | − | 1.91531i | ||||
\(197\) | −20.5506 | + | 16.8654i | −1.46417 | + | 1.20161i | −0.528402 | + | 0.848995i | \(0.677208\pi\) |
−0.935767 | + | 0.352618i | \(0.885292\pi\) | |||||||
\(198\) | 0.225683 | − | 1.19136i | 0.0160386 | − | 0.0846664i | ||||
\(199\) | 11.2177 | + | 16.7884i | 0.795200 | + | 1.19010i | 0.978338 | + | 0.207014i | \(0.0663745\pi\) |
−0.183138 | + | 0.983087i | \(0.558625\pi\) | |||||||
\(200\) | 1.62290 | + | 12.8552i | 0.114756 | + | 0.909001i | ||||
\(201\) | 3.46976 | + | 2.31842i | 0.244738 | + | 0.163529i | ||||
\(202\) | −0.166236 | − | 18.1971i | −0.0116963 | − | 1.28034i | ||||
\(203\) | −11.2714 | − | 37.1570i | −0.791100 | − | 2.60791i | ||||
\(204\) | −1.09613 | + | 2.14404i | −0.0767447 | + | 0.150113i | ||||
\(205\) | −2.25275 | + | 2.74498i | −0.157339 | + | 0.191718i | ||||
\(206\) | −2.06037 | + | 23.0787i | −0.143553 | + | 1.60797i | ||||
\(207\) | 2.00177 | − | 4.83269i | 0.139132 | − | 0.335895i | ||||
\(208\) | −20.8968 | − | 5.51393i | −1.44894 | − | 0.382322i | ||||
\(209\) | −0.683082 | − | 1.64910i | −0.0472497 | − | 0.114071i | ||||
\(210\) | 3.96656 | − | 1.24292i | 0.273718 | − | 0.0857698i | ||||
\(211\) | −11.5998 | + | 1.14248i | −0.798563 | + | 0.0786516i | −0.489064 | − | 0.872248i | \(-0.662661\pi\) |
−0.309499 | + | 0.950900i | \(0.600161\pi\) | |||||||
\(212\) | −10.3162 | − | 18.4800i | −0.708517 | − | 1.26921i | ||||
\(213\) | −8.53824 | − | 4.56378i | −0.585030 | − | 0.312705i | ||||
\(214\) | −5.18323 | + | 12.8440i | −0.354318 | + | 0.878001i | ||||
\(215\) | 1.05932 | + | 5.32559i | 0.0722454 | + | 0.363202i | ||||
\(216\) | −0.627606 | − | 2.75792i | −0.0427032 | − | 0.187653i | ||||
\(217\) | 15.9851 | + | 3.17962i | 1.08514 | + | 0.215847i | ||||
\(218\) | −5.90865 | − | 28.3489i | −0.400184 | − | 1.92003i | ||||
\(219\) | −0.695064 | − | 0.0684579i | −0.0469681 | − | 0.00462595i | ||||
\(220\) | −1.03299 | − | 0.405933i | −0.0696444 | − | 0.0273680i | ||||
\(221\) | −6.22510 | − | 1.88836i | −0.418746 | − | 0.127025i | ||||
\(222\) | 2.17592 | − | 1.18874i | 0.146038 | − | 0.0797828i | ||||
\(223\) | −13.8314 | + | 13.8314i | −0.926221 | + | 0.926221i | −0.997459 | − | 0.0712387i | \(-0.977305\pi\) |
0.0712387 | + | 0.997459i | \(0.477305\pi\) | |||||||
\(224\) | −11.0626 | + | 23.1849i | −0.739152 | + | 1.54911i | ||||
\(225\) | −3.23931 | − | 3.23931i | −0.215954 | − | 0.215954i | ||||
\(226\) | 27.8705 | + | 8.17715i | 1.85392 | + | 0.543936i | ||||
\(227\) | −5.73619 | + | 18.9097i | −0.380725 | + | 1.25508i | 0.532084 | + | 0.846692i | \(0.321409\pi\) |
−0.912808 | + | 0.408389i | \(0.866091\pi\) | |||||||
\(228\) | −2.99747 | − | 2.88989i | −0.198512 | − | 0.191388i | ||||
\(229\) | 1.56616 | − | 15.9015i | 0.103495 | − | 1.05080i | −0.793444 | − | 0.608643i | \(-0.791714\pi\) |
0.896939 | − | 0.442155i | \(-0.145786\pi\) | |||||||
\(230\) | −4.00521 | − | 2.62359i | −0.264096 | − | 0.172995i | ||||
\(231\) | 0.759612 | − | 3.81883i | 0.0499788 | − | 0.251260i | ||||
\(232\) | 0.662684 | + | 24.1750i | 0.0435074 | + | 1.58716i | ||||
\(233\) | 0.820569 | − | 0.163221i | 0.0537572 | − | 0.0106930i | −0.168138 | − | 0.985763i | \(-0.553776\pi\) |
0.221896 | + | 0.975070i | \(0.428776\pi\) | |||||||
\(234\) | 7.03237 | − | 2.98846i | 0.459721 | − | 0.195361i | ||||
\(235\) | 0.0365036 | − | 0.0682934i | 0.00238123 | − | 0.00445497i | ||||
\(236\) | −0.599751 | + | 0.758649i | −0.0390405 | + | 0.0493838i | ||||
\(237\) | −1.06627 | − | 10.8260i | −0.0692614 | − | 0.703223i | ||||
\(238\) | −3.58256 | + | 6.85234i | −0.232223 | + | 0.444171i | ||||
\(239\) | 13.1214 | − | 5.43505i | 0.848750 | − | 0.351564i | 0.0844527 | − | 0.996427i | \(-0.473086\pi\) |
0.764298 | + | 0.644864i | \(0.223086\pi\) | |||||||
\(240\) | −2.58723 | + | 0.0945801i | −0.167005 | + | 0.00610512i | ||||
\(241\) | 12.4315 | + | 5.14931i | 0.800786 | + | 0.331696i | 0.745271 | − | 0.666761i | \(-0.232320\pi\) |
0.0555148 | + | 0.998458i | \(0.482320\pi\) | |||||||
\(242\) | 11.1370 | − | 9.31142i | 0.715912 | − | 0.598561i | ||||
\(243\) | 0.773010 | + | 0.634393i | 0.0495886 | + | 0.0406963i | ||||
\(244\) | 8.55962 | + | 10.0498i | 0.547973 | + | 0.643370i | ||||
\(245\) | 8.43742 | − | 2.55946i | 0.539047 | − | 0.163518i | ||||
\(246\) | 5.53630 | + | 5.43606i | 0.352981 | + | 0.346591i | ||||
\(247\) | 6.24919 | − | 9.35257i | 0.397626 | − | 0.595090i | ||||
\(248\) | −9.08024 | − | 4.53809i | −0.576596 | − | 0.288169i | ||||
\(249\) | 3.55579 | − | 2.37591i | 0.225339 | − | 0.150567i | ||||
\(250\) | −7.24710 | + | 4.93871i | −0.458347 | + | 0.312351i | ||||
\(251\) | 1.67899 | + | 2.04585i | 0.105977 | + | 0.129133i | 0.823298 | − | 0.567610i | \(-0.192132\pi\) |
−0.717321 | + | 0.696743i | \(0.754632\pi\) | |||||||
\(252\) | −1.93434 | − | 8.87404i | −0.121852 | − | 0.559012i | ||||
\(253\) | −3.95538 | + | 2.11419i | −0.248673 | + | 0.132918i | ||||
\(254\) | −1.58427 | + | 0.170663i | −0.0994060 | + | 0.0107084i | ||||
\(255\) | −0.779275 | −0.0488001 | ||||||||
\(256\) | 10.4574 | − | 12.1096i | 0.653590 | − | 0.756849i | ||||
\(257\) | −29.9558 | −1.86859 | −0.934295 | − | 0.356502i | \(-0.883969\pi\) | ||||
−0.934295 | + | 0.356502i | \(0.883969\pi\) | |||||||
\(258\) | 11.7961 | − | 1.27072i | 0.734391 | − | 0.0791113i | ||||
\(259\) | 7.02172 | − | 3.75319i | 0.436309 | − | 0.233212i | ||||
\(260\) | −1.48957 | − | 6.83364i | −0.0923795 | − | 0.423804i | ||||
\(261\) | −5.42429 | − | 6.60951i | −0.335755 | − | 0.409119i | ||||
\(262\) | −10.3817 | + | 7.07482i | −0.641381 | + | 0.437084i | ||||
\(263\) | −8.39890 | + | 5.61196i | −0.517898 | + | 0.346049i | −0.786889 | − | 0.617094i | \(-0.788310\pi\) |
0.268991 | + | 0.963143i | \(0.413310\pi\) | |||||||
\(264\) | −1.08415 | + | 2.16927i | −0.0667248 | + | 0.133509i | ||||
\(265\) | 3.80523 | − | 5.69493i | 0.233753 | − | 0.349837i | ||||
\(266\) | −9.54006 | − | 9.36733i | −0.584938 | − | 0.574348i | ||||
\(267\) | 12.7756 | − | 3.87543i | 0.781853 | − | 0.237172i | ||||
\(268\) | −5.41168 | − | 6.35381i | −0.330571 | − | 0.388120i | ||||
\(269\) | 13.7064 | + | 11.2486i | 0.835697 | + | 0.685839i | 0.951572 | − | 0.307425i | \(-0.0994673\pi\) |
−0.115875 | + | 0.993264i | \(0.536967\pi\) | |||||||
\(270\) | 0.702231 | − | 0.587123i | 0.0427364 | − | 0.0357311i | ||||
\(271\) | −22.2645 | − | 9.22225i | −1.35247 | − | 0.560212i | −0.415492 | − | 0.909597i | \(-0.636391\pi\) |
−0.936979 | + | 0.349385i | \(0.886391\pi\) | |||||||
\(272\) | 3.27874 | − | 3.52755i | 0.198803 | − | 0.213889i | ||||
\(273\) | 22.6685 | − | 9.38961i | 1.37196 | − | 0.568285i | ||||
\(274\) | −4.72840 | + | 9.04398i | −0.285653 | + | 0.546367i | ||||
\(275\) | 0.384994 | + | 3.90891i | 0.0232160 | + | 0.235716i | ||||
\(276\) | −6.48800 | + | 8.20693i | −0.390532 | + | 0.493999i | ||||
\(277\) | −5.78986 | + | 10.8321i | −0.347879 | + | 0.650836i | −0.993627 | − | 0.112714i | \(-0.964045\pi\) |
0.645748 | + | 0.763550i | \(0.276545\pi\) | |||||||
\(278\) | 21.8864 | − | 9.30077i | 1.31266 | − | 0.557823i | ||||
\(279\) | 3.52000 | − | 0.700171i | 0.210737 | − | 0.0419182i | ||||
\(280\) | −8.31034 | + | 0.227803i | −0.496638 | + | 0.0136138i | ||||
\(281\) | −2.72960 | + | 13.7226i | −0.162834 | + | 0.818622i | 0.809877 | + | 0.586600i | \(0.199534\pi\) |
−0.972711 | + | 0.232022i | \(0.925466\pi\) | |||||||
\(282\) | −0.141537 | − | 0.0927130i | −0.00842840 | − | 0.00552098i | ||||
\(283\) | −0.661765 | + | 6.71902i | −0.0393379 | + | 0.399404i | 0.955273 | + | 0.295725i | \(0.0955614\pi\) |
−0.994611 | + | 0.103679i | \(0.966939\pi\) | |||||||
\(284\) | 13.9394 | + | 13.4392i | 0.827152 | + | 0.797467i | ||||
\(285\) | 0.391145 | − | 1.28943i | 0.0231694 | − | 0.0763794i | ||||
\(286\) | −6.28643 | − | 1.84443i | −0.371725 | − | 0.109063i | ||||
\(287\) | 17.6175 | + | 17.6175i | 1.03993 | + | 1.03993i | ||||
\(288\) | −0.296846 | + | 5.64906i | −0.0174918 | + | 0.332874i | ||||
\(289\) | −10.9958 | + | 10.9958i | −0.646811 | + | 0.646811i | ||||
\(290\) | −6.86832 | + | 3.75226i | −0.403322 | + | 0.220340i | ||||
\(291\) | 0.494547 | + | 0.150019i | 0.0289909 | + | 0.00879428i | ||||
\(292\) | 1.30008 | + | 0.510887i | 0.0760812 | + | 0.0298974i | ||||
\(293\) | 12.6148 | + | 1.24245i | 0.736964 | + | 0.0725846i | 0.459532 | − | 0.888161i | \(-0.348017\pi\) |
0.277431 | + | 0.960746i | \(0.410517\pi\) | |||||||
\(294\) | −3.93091 | − | 18.8599i | −0.229255 | − | 1.09993i | ||||
\(295\) | −0.306954 | − | 0.0610569i | −0.0178716 | − | 0.00355487i | ||||
\(296\) | −4.83530 | + | 1.10035i | −0.281046 | + | 0.0639564i | ||||
\(297\) | −0.167271 | − | 0.840927i | −0.00970604 | − | 0.0487956i | ||||
\(298\) | −6.51892 | + | 16.1539i | −0.377631 | + | 0.935770i | ||||
\(299\) | −24.9253 | − | 13.3228i | −1.44146 | − | 0.770479i | ||||
\(300\) | 4.46591 | + | 8.00005i | 0.257839 | + | 0.461883i | ||||
\(301\) | 37.9143 | − | 3.73423i | 2.18534 | − | 0.215237i | ||||
\(302\) | 10.1426 | − | 3.17819i | 0.583641 | − | 0.182884i | ||||
\(303\) | −4.92430 | − | 11.8883i | −0.282894 | − | 0.682966i | ||||
\(304\) | 4.19117 | + | 7.19578i | 0.240380 | + | 0.412706i | ||||
\(305\) | −1.63486 | + | 3.94690i | −0.0936117 | + | 0.225999i | ||||
\(306\) | −0.151408 | + | 1.69596i | −0.00865544 | + | 0.0969518i | ||||
\(307\) | 0.101098 | − | 0.123188i | 0.00576997 | − | 0.00703073i | −0.770117 | − | 0.637902i | \(-0.779802\pi\) |
0.775887 | + | 0.630871i | \(0.217302\pi\) | |||||||
\(308\) | −3.54482 | + | 6.93369i | −0.201985 | + | 0.395084i | ||||
\(309\) | 4.75602 | + | 15.6785i | 0.270561 | + | 0.891919i | ||||
\(310\) | −0.0300092 | − | 3.28497i | −0.00170441 | − | 0.186574i | ||||
\(311\) | −0.995466 | − | 0.665149i | −0.0564477 | − | 0.0377171i | 0.527026 | − | 0.849849i | \(-0.323307\pi\) |
−0.583474 | + | 0.812132i | \(0.698307\pi\) | |||||||
\(312\) | −15.1617 | + | 1.91408i | −0.858362 | + | 0.108363i | ||||
\(313\) | −0.116001 | − | 0.173608i | −0.00655677 | − | 0.00981290i | 0.828177 | − | 0.560467i | \(-0.189378\pi\) |
−0.834734 | + | 0.550654i | \(0.814378\pi\) | |||||||
\(314\) | 5.19492 | − | 27.4236i | 0.293167 | − | 1.54760i | ||||
\(315\) | 2.27207 | − | 1.86464i | 0.128017 | − | 0.105061i | ||||
\(316\) | −3.85398 | + | 21.4127i | −0.216803 | + | 1.20456i | ||||
\(317\) | 5.49604 | + | 10.2824i | 0.308689 | + | 0.577516i | 0.987653 | − | 0.156655i | \(-0.0500711\pi\) |
−0.678965 | + | 0.734171i | \(0.737571\pi\) | |||||||
\(318\) | −11.6547 | − | 9.38794i | −0.653565 | − | 0.526449i | ||||
\(319\) | 7.33109i | 0.410462i | ||||||||
\(320\) | 5.02987 | + | 1.22937i | 0.281178 | + | 0.0687238i | ||||
\(321\) | 9.79376i | 0.546634i | ||||||||
\(322\) | −21.0736 | + | 26.1620i | −1.17439 | + | 1.45795i | ||||
\(323\) | 1.18157 | + | 2.21057i | 0.0657444 | + | 0.122999i | ||||
\(324\) | −1.14134 | − | 1.64236i | −0.0634075 | − | 0.0912423i | ||||
\(325\) | −19.1333 | + | 15.7023i | −1.06132 | + | 0.871006i | ||||
\(326\) | −7.31402 | − | 1.38552i | −0.405086 | − | 0.0767366i | ||||
\(327\) | −11.3761 | − | 17.0256i | −0.629100 | − | 0.941515i | ||||
\(328\) | −7.68735 | − | 13.4800i | −0.424463 | − | 0.744308i | ||||
\(329\) | −0.451753 | − | 0.301852i | −0.0249060 | − | 0.0166416i | ||||
\(330\) | −0.784779 | + | 0.00716919i | −0.0432006 | + | 0.000394651i | ||||
\(331\) | −5.84953 | − | 19.2833i | −0.321519 | − | 1.05991i | −0.957556 | − | 0.288248i | \(-0.906927\pi\) |
0.636037 | − | 0.771659i | \(-0.280573\pi\) | |||||||
\(332\) | −8.13802 | + | 2.63193i | −0.446632 | + | 0.144446i | ||||
\(333\) | 1.11225 | − | 1.35528i | 0.0609507 | − | 0.0742687i | ||||
\(334\) | −24.9436 | − | 2.22686i | −1.36485 | − | 0.121848i | ||||
\(335\) | 1.03361 | − | 2.49536i | 0.0564723 | − | 0.136336i | ||||
\(336\) | −1.11887 | + | 18.1303i | −0.0610395 | + | 0.989091i | ||||
\(337\) | −1.11679 | − | 2.69616i | −0.0608353 | − | 0.146869i | 0.890539 | − | 0.454907i | \(-0.150328\pi\) |
−0.951374 | + | 0.308038i | \(0.900328\pi\) | |||||||
\(338\) | −6.84735 | − | 21.8521i | −0.372447 | − | 1.18860i | ||||
\(339\) | 20.4392 | − | 2.01309i | 1.11011 | − | 0.109336i | ||||
\(340\) | 1.49946 | + | 0.425101i | 0.0813195 | + | 0.0230543i | ||||
\(341\) | −2.71383 | − | 1.45057i | −0.146962 | − | 0.0785530i | ||||
\(342\) | −2.73024 | − | 1.10179i | −0.147634 | − | 0.0595781i | ||||
\(343\) | −5.86724 | − | 29.4966i | −0.316801 | − | 1.59267i | ||||
\(344\) | −23.3908 | − | 3.98978i | −1.26115 | − | 0.215114i | ||||
\(345\) | −3.32057 | − | 0.660503i | −0.178774 | − | 0.0355603i | ||||
\(346\) | −20.3975 | + | 4.25138i | −1.09658 | + | 0.228556i | ||||
\(347\) | −4.63748 | − | 0.456751i | −0.248953 | − | 0.0245197i | −0.0272290 | − | 0.999629i | \(-0.508668\pi\) |
−0.221724 | + | 0.975110i | \(0.571168\pi\) | |||||||
\(348\) | 6.83170 | + | 15.6768i | 0.366217 | + | 0.840365i | ||||
\(349\) | 15.4371 | + | 4.68278i | 0.826327 | + | 0.250664i | 0.674998 | − | 0.737820i | \(-0.264145\pi\) |
0.151329 | + | 0.988483i | \(0.451645\pi\) | |||||||
\(350\) | 14.1053 | + | 25.8190i | 0.753960 | + | 1.38009i | ||||
\(351\) | 3.82051 | − | 3.82051i | 0.203924 | − | 0.203924i | ||||
\(352\) | 3.26944 | − | 3.58263i | 0.174262 | − | 0.190955i | ||||
\(353\) | 8.36360 | + | 8.36360i | 0.445149 | + | 0.445149i | 0.893738 | − | 0.448589i | \(-0.148073\pi\) |
−0.448589 | + | 0.893738i | \(0.648073\pi\) | |||||||
\(354\) | −0.192520 | + | 0.656171i | −0.0102323 | + | 0.0348751i | ||||
\(355\) | −1.81898 | + | 5.99638i | −0.0965415 | + | 0.318255i | ||||
\(356\) | −26.6964 | + | 0.487801i | −1.41491 | + | 0.0258534i | ||||
\(357\) | −0.535918 | + | 5.44127i | −0.0283638 | + | 0.287983i | ||||
\(358\) | 5.76792 | − | 8.80538i | 0.304844 | − | 0.465379i | ||||
\(359\) | 2.88729 | − | 14.5154i | 0.152385 | − | 0.766092i | −0.826700 | − | 0.562643i | \(-0.809785\pi\) |
0.979085 | − | 0.203449i | \(-0.0652153\pi\) | |||||||
\(360\) | −1.67149 | + | 0.746650i | −0.0880952 | + | 0.0393519i | ||||
\(361\) | 14.3841 | − | 2.86118i | 0.757059 | − | 0.150588i | ||||
\(362\) | 9.56974 | + | 22.5193i | 0.502974 | + | 1.18359i | ||||
\(363\) | 4.83882 | − | 9.05280i | 0.253972 | − | 0.475149i | ||||
\(364\) | −48.7401 | + | 5.70133i | −2.55468 | + | 0.298831i | ||||
\(365\) | 0.0443087 | + | 0.449874i | 0.00231922 | + | 0.0235475i | ||||
\(366\) | 8.27212 | + | 4.32486i | 0.432391 | + | 0.226064i | ||||
\(367\) | −33.7900 | + | 13.9963i | −1.76382 | + | 0.730600i | −0.767883 | + | 0.640590i | \(0.778690\pi\) |
−0.995941 | + | 0.0900098i | \(0.971310\pi\) | |||||||
\(368\) | 16.9609 | − | 12.2523i | 0.884151 | − | 0.638693i | ||||
\(369\) | 5.06878 | + | 2.09956i | 0.263870 | + | 0.109299i | ||||
\(370\) | −1.02937 | − | 1.23118i | −0.0535144 | − | 0.0640061i | ||||
\(371\) | −37.1478 | − | 30.4864i | −1.92862 | − | 1.58278i | ||||
\(372\) | −7.15502 | − | 0.572939i | −0.370970 | − | 0.0297055i | ||||
\(373\) | 9.10327 | − | 2.76145i | 0.471349 | − | 0.142982i | −0.0456689 | − | 0.998957i | \(-0.514542\pi\) |
0.517018 | + | 0.855974i | \(0.327042\pi\) | |||||||
\(374\) | 1.02284 | − | 1.04170i | 0.0528896 | − | 0.0538648i | ||||
\(375\) | −3.44524 | + | 5.15616i | −0.177911 | + | 0.266263i | ||||
\(376\) | 0.221765 | + | 0.255605i | 0.0114367 | + | 0.0131818i | ||||
\(377\) | −38.4120 | + | 25.6661i | −1.97832 | + | 1.32187i | ||||
\(378\) | −3.61664 | − | 5.30708i | −0.186020 | − | 0.272967i | ||||
\(379\) | 12.4389 | + | 15.1568i | 0.638941 | + | 0.778552i | 0.987310 | − | 0.158805i | \(-0.0507643\pi\) |
−0.348369 | + | 0.937358i | \(0.613264\pi\) | |||||||
\(380\) | −1.45602 | + | 2.26771i | −0.0746925 | + | 0.116331i | ||||
\(381\) | −0.993688 | + | 0.531137i | −0.0509082 | + | 0.0272110i | ||||
\(382\) | −0.395547 | − | 3.67187i | −0.0202380 | − | 0.187869i | ||||
\(383\) | −6.38394 | −0.326204 | −0.163102 | − | 0.986609i | \(-0.552150\pi\) | ||||
−0.163102 | + | 0.986609i | \(0.552150\pi\) | |||||||
\(384\) | 3.65279 | − | 10.7078i | 0.186405 | − | 0.546431i | ||||
\(385\) | −2.52012 | −0.128437 | ||||||||
\(386\) | 1.44177 | + | 13.3840i | 0.0733840 | + | 0.681225i | ||||
\(387\) | 7.39874 | − | 3.95471i | 0.376099 | − | 0.201029i | ||||
\(388\) | −0.869755 | − | 0.558441i | −0.0441551 | − | 0.0283506i | ||||
\(389\) | −7.54846 | − | 9.19782i | −0.382722 | − | 0.466348i | 0.545643 | − | 0.838018i | \(-0.316285\pi\) |
−0.928365 | + | 0.371670i | \(0.878785\pi\) | |||||||
\(390\) | −2.78506 | − | 4.08683i | −0.141027 | − | 0.206944i | ||||
\(391\) | 5.23655 | − | 3.49895i | 0.264824 | − | 0.176950i | ||||
\(392\) | −2.72451 | + | 38.4340i | −0.137609 | + | 1.94121i | ||||
\(393\) | −4.93539 | + | 7.38633i | −0.248957 | + | 0.372591i | ||||
\(394\) | 26.3412 | − | 26.8269i | 1.32705 | − | 1.35152i | ||||
\(395\) | −6.73774 | + | 2.04387i | −0.339012 | + | 0.102838i | ||||
\(396\) | −0.136875 | + | 1.70933i | −0.00687823 | + | 0.0858972i | ||||
\(397\) | −5.55354 | − | 4.55767i | −0.278724 | − | 0.228743i | 0.484636 | − | 0.874716i | \(-0.338952\pi\) |
−0.763361 | + | 0.645973i | \(0.776452\pi\) | |||||||
\(398\) | −18.3158 | − | 21.9068i | −0.918091 | − | 1.09809i | ||||
\(399\) | −8.73444 | − | 3.61792i | −0.437269 | − | 0.181123i | ||||
\(400\) | −4.22907 | − | 17.8296i | −0.211454 | − | 0.891481i | ||||
\(401\) | 22.1768 | − | 9.18593i | 1.10746 | − | 0.458723i | 0.247395 | − | 0.968915i | \(-0.420425\pi\) |
0.860061 | + | 0.510191i | \(0.170425\pi\) | |||||||
\(402\) | −5.22992 | − | 2.73432i | −0.260845 | − | 0.136376i | ||||
\(403\) | −1.90067 | − | 19.2978i | −0.0946792 | − | 0.961294i | ||||
\(404\) | 2.99001 | + | 25.5613i | 0.148759 | + | 1.27172i | ||||
\(405\) | 0.305107 | − | 0.570815i | 0.0151609 | − | 0.0283640i | ||||
\(406\) | 21.4766 | + | 50.5384i | 1.06587 | + | 2.50818i | ||||
\(407\) | −1.47435 | + | 0.293267i | −0.0730809 | + | 0.0145367i | ||||
\(408\) | 1.21650 | − | 3.18072i | 0.0602255 | − | 0.157469i | ||||
\(409\) | 1.69762 | − | 8.53451i | 0.0839419 | − | 0.422004i | −0.915848 | − | 0.401524i | \(-0.868481\pi\) |
0.999790 | − | 0.0204801i | \(-0.00651948\pi\) | |||||||
\(410\) | 2.75176 | − | 4.20088i | 0.135900 | − | 0.207467i | ||||
\(411\) | −0.707326 | + | 7.18160i | −0.0348898 | + | 0.354242i | ||||
\(412\) | −0.598641 | − | 32.7625i | −0.0294929 | − | 1.61409i | ||||
\(413\) | −0.637425 | + | 2.10131i | −0.0313656 | + | 0.103399i | ||||
\(414\) | −2.08264 | + | 7.09835i | −0.102356 | + | 0.348865i | ||||
\(415\) | −1.95723 | − | 1.95723i | −0.0960764 | − | 0.0960764i | ||||
\(416\) | 30.2178 | + | 4.58782i | 1.48155 | + | 0.224936i | ||||
\(417\) | 11.8903 | − | 11.8903i | 0.582271 | − | 0.582271i | ||||
\(418\) | 1.21025 | + | 2.21531i | 0.0591954 | + | 0.108354i | ||||
\(419\) | 6.59066 | + | 1.99926i | 0.321975 | + | 0.0976700i | 0.447135 | − | 0.894467i | \(-0.352444\pi\) |
−0.125160 | + | 0.992137i | \(0.539944\pi\) | |||||||
\(420\) | −5.38903 | + | 2.34845i | −0.262958 | + | 0.114593i | ||||
\(421\) | 2.83729 | + | 0.279448i | 0.138281 | + | 0.0136195i | 0.166921 | − | 0.985970i | \(-0.446618\pi\) |
−0.0286398 | + | 0.999590i | \(0.509118\pi\) | |||||||
\(422\) | 16.1372 | − | 3.36341i | 0.785545 | − | 0.163728i | ||||
\(423\) | −0.117343 | − | 0.0233410i | −0.00570541 | − | 0.00113488i | ||||
\(424\) | 17.3045 | + | 24.4217i | 0.840379 | + | 1.18602i | ||||
\(425\) | −1.07604 | − | 5.40962i | −0.0521957 | − | 0.262405i | ||||
\(426\) | 12.6967 | + | 5.12377i | 0.615157 | + | 0.248247i | ||||
\(427\) | 26.4348 | + | 14.1297i | 1.27927 | + | 0.683784i | ||||
\(428\) | 5.34257 | − | 18.8448i | 0.258243 | − | 0.910899i | ||||
\(429\) | −4.61025 | + | 0.454070i | −0.222585 | + | 0.0219227i | ||||
\(430\) | −2.29615 | − | 7.32774i | −0.110730 | − | 0.353375i | ||||
\(431\) | 14.7150 | + | 35.5252i | 0.708798 | + | 1.71119i | 0.702983 | + | 0.711207i | \(0.251851\pi\) |
0.00581486 | + | 0.999983i | \(0.498149\pi\) | |||||||
\(432\) | 1.30020 | + | 3.78279i | 0.0625559 | + | 0.181999i | ||||
\(433\) | 7.96552 | − | 19.2305i | 0.382798 | − | 0.924157i | −0.608624 | − | 0.793459i | \(-0.708278\pi\) |
0.991422 | − | 0.130698i | \(-0.0417219\pi\) | |||||||
\(434\) | −22.9579 | − | 2.04958i | −1.10201 | − | 0.0983830i | ||||
\(435\) | −3.51082 | + | 4.27794i | −0.168331 | + | 0.205112i | ||||
\(436\) | 12.6020 | + | 38.9658i | 0.603525 | + | 1.86612i | ||||
\(437\) | 3.16116 | + | 10.4209i | 0.151219 | + | 0.498501i | ||||
\(438\) | 0.987684 | − | 0.00902279i | 0.0471934 | − | 0.000431126i | ||||
\(439\) | 25.8208 | + | 17.2529i | 1.23236 | + | 0.823437i | 0.989203 | − | 0.146549i | \(-0.0468167\pi\) |
0.243158 | + | 0.969987i | \(0.421817\pi\) | |||||||
\(440\) | 1.51396 | + | 0.414308i | 0.0721751 | + | 0.0197514i | ||||
\(441\) | −7.56830 | − | 11.3268i | −0.360395 | − | 0.539369i | ||||
\(442\) | 9.03901 | + | 1.71229i | 0.429942 | + | 0.0814451i | ||||
\(443\) | 4.03268 | − | 3.30953i | 0.191598 | − | 0.157241i | −0.533704 | − | 0.845672i | \(-0.679200\pi\) |
0.725302 | + | 0.688431i | \(0.241700\pi\) | |||||||
\(444\) | −2.87946 | + | 2.00104i | −0.136653 | + | 0.0949651i | ||||
\(445\) | −4.07331 | − | 7.62064i | −0.193094 | − | 0.361253i | ||||
\(446\) | 17.3531 | − | 21.5431i | 0.821691 | − | 1.02009i | ||||
\(447\) | 12.3176i | 0.582601i | ||||||||
\(448\) | 12.0431 | − | 34.2755i | 0.568985 | − | 1.61936i | ||||
\(449\) | 21.9796i | 1.03728i | 0.854992 | + | 0.518642i | \(0.173562\pi\) | ||||
−0.854992 | + | 0.518642i | \(0.826438\pi\) | |||||||
\(450\) | 5.04538 | + | 4.06408i | 0.237842 | + | 0.191582i | ||||
\(451\) | −2.21748 | − | 4.14861i | −0.104417 | − | 0.195350i | ||||
\(452\) | −40.4267 | − | 7.27624i | −1.90151 | − | 0.342245i | ||||
\(453\) | 5.80976 | − | 4.76795i | 0.272966 | − | 0.224018i | ||||
\(454\) | 5.20133 | − | 27.4574i | 0.244110 | − | 1.28864i | ||||
\(455\) | −8.82292 | − | 13.2044i | −0.413625 | − | 0.619033i | ||||
\(456\) | 4.65240 | + | 3.60940i | 0.217869 | + | 0.169026i | ||||
\(457\) | 17.4191 | + | 11.6390i | 0.814829 | + | 0.544451i | 0.891720 | − | 0.452588i | \(-0.149499\pi\) |
−0.0768905 | + | 0.997040i | \(0.524499\pi\) | |||||||
\(458\) | 0.206421 | + | 22.5959i | 0.00964541 | + | 1.05584i | ||||
\(459\) | 0.349502 | + | 1.15215i | 0.0163133 | + | 0.0537779i | ||||
\(460\) | 6.02903 | + | 3.08232i | 0.281105 | + | 0.143714i | ||||
\(461\) | 18.3169 | − | 22.3192i | 0.853101 | − | 1.03951i | −0.145639 | − | 0.989338i | \(-0.546524\pi\) |
0.998741 | − | 0.0501693i | \(-0.0159761\pi\) | |||||||
\(462\) | −0.489644 | + | 5.48463i | −0.0227803 | + | 0.255168i | ||||
\(463\) | 8.53662 | − | 20.6092i | 0.396730 | − | 0.957792i | −0.591706 | − | 0.806154i | \(-0.701545\pi\) |
0.988436 | − | 0.151638i | \(-0.0484547\pi\) | |||||||
\(464\) | −4.59352 | − | 33.8915i | −0.213249 | − | 1.57338i | ||||
\(465\) | −0.888943 | − | 2.14610i | −0.0412238 | − | 0.0995230i | ||||
\(466\) | −1.12906 | + | 0.353792i | −0.0523028 | + | 0.0163891i | ||||
\(467\) | 36.5667 | − | 3.60151i | 1.69211 | − | 0.166658i | 0.794442 | − | 0.607340i | \(-0.207763\pi\) |
0.897663 | + | 0.440682i | \(0.145263\pi\) | |||||||
\(468\) | −9.43542 | + | 5.26718i | −0.436152 | + | 0.243476i | ||||
\(469\) | −16.7130 | − | 8.93328i | −0.771734 | − | 0.412500i | ||||
\(470\) | −0.0409827 | + | 0.101555i | −0.00189039 | + | 0.00468439i | ||||
\(471\) | −3.85035 | − | 19.3570i | −0.177415 | − | 0.891925i | ||||
\(472\) | 0.728386 | − | 1.15756i | 0.0335267 | − | 0.0532811i | ||||
\(473\) | −7.05482 | − | 1.40329i | −0.324381 | − | 0.0645234i | ||||
\(474\) | 3.13904 | + | 15.0607i | 0.144181 | + | 0.691760i | ||||
\(475\) | 9.49117 | + | 0.934799i | 0.435485 | + | 0.0428915i | ||||
\(476\) | 3.99945 | − | 10.1776i | 0.183315 | − | 0.466488i | ||||
\(477\) | −10.1265 | − | 3.07185i | −0.463662 | − | 0.140650i | ||||
\(478\) | −17.6264 | + | 9.62957i | −0.806214 | + | 0.440446i | ||||
\(479\) | −18.0484 | + | 18.0484i | −0.824651 | + | 0.824651i | −0.986771 | − | 0.162120i | \(-0.948167\pi\) |
0.162120 | + | 0.986771i | \(0.448167\pi\) | |||||||
\(480\) | 3.62353 | − | 0.524870i | 0.165391 | − | 0.0239569i | ||||
\(481\) | −6.69829 | − | 6.69829i | −0.305416 | − | 0.305416i | ||||
\(482\) | −18.2597 | − | 5.35736i | −0.831706 | − | 0.244021i | ||||
\(483\) | −6.89555 | + | 22.7316i | −0.313759 | + | 1.03432i | ||||
\(484\) | −14.2491 | + | 14.7795i | −0.647685 | + | 0.671795i | ||||
\(485\) | 0.0327862 | − | 0.332883i | 0.00148874 | − | 0.0151155i | ||||
\(486\) | −1.18300 | − | 0.774921i | −0.0536621 | − | 0.0351511i | ||||
\(487\) | 6.56276 | − | 32.9932i | 0.297387 | − | 1.49506i | −0.486236 | − | 0.873828i | \(-0.661630\pi\) |
0.783623 | − | 0.621237i | \(-0.213370\pi\) | |||||||
\(488\) | −13.5577 | − | 12.8343i | −0.613729 | − | 0.580979i | ||||
\(489\) | −5.16263 | + | 1.02691i | −0.233462 | + | 0.0464385i | ||||
\(490\) | −11.4760 | + | 4.87681i | −0.518433 | + | 0.220312i | ||||
\(491\) | 15.8871 | − | 29.7227i | 0.716974 | − | 1.34136i | −0.214200 | − | 0.976790i | \(-0.568714\pi\) |
0.931174 | − | 0.364575i | \(-0.118786\pi\) | |||||||
\(492\) | −8.60786 | − | 6.80496i | −0.388072 | − | 0.306791i | ||||
\(493\) | −1.00905 | − | 10.2450i | −0.0454452 | − | 0.461413i | ||||
\(494\) | −7.37024 | + | 14.0970i | −0.331603 | + | 0.634254i | ||||
\(495\) | −0.512703 | + | 0.212368i | −0.0230443 | + | 0.00954525i | ||||
\(496\) | 13.4549 | + | 5.00555i | 0.604143 | + | 0.224756i | ||||
\(497\) | 40.6186 | + | 16.8248i | 1.82199 | + | 0.754695i | ||||
\(498\) | −4.63985 | + | 3.87930i | −0.207917 | + | 0.173836i | ||||
\(499\) | −13.7450 | − | 11.2802i | −0.615311 | − | 0.504973i | 0.274329 | − | 0.961636i | \(-0.411544\pi\) |
−0.889640 | + | 0.456663i | \(0.849044\pi\) | |||||||
\(500\) | 9.44194 | − | 8.04192i | 0.422256 | − | 0.359645i | ||||
\(501\) | −16.9454 | + | 5.14034i | −0.757067 | + | 0.229654i | ||||
\(502\) | −2.67067 | − | 2.62232i | −0.119198 | − | 0.117040i | ||||
\(503\) | −20.0934 | + | 30.0719i | −0.895920 | + | 1.34084i | 0.0438527 | + | 0.999038i | \(0.486037\pi\) |
−0.939772 | + | 0.341801i | \(0.888963\pi\) | |||||||
\(504\) | 4.06396 | + | 12.1846i | 0.181023 | + | 0.542746i | ||||
\(505\) | −6.92495 | + | 4.62711i | −0.308156 | + | 0.205904i | ||||
\(506\) | 5.24134 | − | 3.57184i | 0.233006 | − | 0.158787i | ||||
\(507\) | −10.2725 | − | 12.5170i | −0.456216 | − | 0.555901i | ||||
\(508\) | 2.20176 | − | 0.479933i | 0.0976873 | − | 0.0212936i | ||||
\(509\) | 3.11581 | − | 1.66543i | 0.138106 | − | 0.0738190i | −0.400897 | − | 0.916123i | \(-0.631301\pi\) |
0.539002 | + | 0.842304i | \(0.318801\pi\) | |||||||
\(510\) | 1.09572 | − | 0.118035i | 0.0485194 | − | 0.00522669i | ||||
\(511\) | 3.17170 | 0.140308 | ||||||||
\(512\) | −12.8698 | + | 18.6110i | −0.568769 | + | 0.822498i | ||||
\(513\) | −2.08184 | −0.0919157 | ||||||||
\(514\) | 42.1202 | − | 4.53734i | 1.85784 | − | 0.200133i | ||||
\(515\) | 9.35224 | − | 4.99887i | 0.412109 | − | 0.220277i | ||||
\(516\) | −16.3937 | + | 3.57345i | −0.721694 | + | 0.157312i | ||||
\(517\) | 0.0650769 | + | 0.0792964i | 0.00286208 | + | 0.00348745i | ||||
\(518\) | −9.30461 | + | 6.34084i | −0.408821 | + | 0.278601i | ||||
\(519\) | −12.2502 | + | 8.18531i | −0.537723 | + | 0.359295i | ||||
\(520\) | 3.12954 | + | 9.38301i | 0.137239 | + | 0.411472i | ||||
\(521\) | −11.0241 | + | 16.4987i | −0.482975 | + | 0.722823i | −0.990302 | − | 0.138931i | \(-0.955633\pi\) |
0.507327 | + | 0.861753i | \(0.330633\pi\) | |||||||
\(522\) | 8.62810 | + | 8.47189i | 0.377642 | + | 0.370805i | ||||
\(523\) | 20.0375 | − | 6.07830i | 0.876177 | − | 0.265785i | 0.180009 | − | 0.983665i | \(-0.442387\pi\) |
0.696167 | + | 0.717880i | \(0.254887\pi\) | |||||||
\(524\) | 13.5258 | − | 11.5202i | 0.590878 | − | 0.503264i | ||||
\(525\) | 16.0814 | + | 13.1977i | 0.701851 | + | 0.575994i | ||||
\(526\) | 10.9595 | − | 9.16303i | 0.477856 | − | 0.399527i | ||||
\(527\) | 3.99217 | + | 1.65361i | 0.173902 | + | 0.0720325i | ||||
\(528\) | 1.19582 | − | 3.21438i | 0.0520416 | − | 0.139888i | ||||
\(529\) | 4.02993 | − | 1.66925i | 0.175214 | − | 0.0725761i | ||||
\(530\) | −4.48785 | + | 8.58389i | −0.194940 | + | 0.372860i | ||||
\(531\) | 0.0473953 | + | 0.481213i | 0.00205678 | + | 0.0208829i | ||||
\(532\) | 14.8329 | + | 11.7262i | 0.643089 | + | 0.508395i | ||||
\(533\) | 13.9737 | − | 26.1429i | 0.605267 | − | 1.13238i | ||||
\(534\) | −17.3765 | + | 7.38425i | −0.751953 | + | 0.319548i | ||||
\(535\) | 6.21712 | − | 1.23666i | 0.268789 | − | 0.0534655i | ||||
\(536\) | 8.57165 | + | 8.11426i | 0.370239 | + | 0.350482i | ||||
\(537\) | 1.45210 | − | 7.30022i | 0.0626629 | − | 0.315028i | ||||
\(538\) | −20.9761 | − | 13.7403i | −0.904346 | − | 0.592387i | ||||
\(539\) | −1.14484 | + | 11.6238i | −0.0493119 | + | 0.500672i | ||||
\(540\) | −0.898461 | + | 0.931906i | −0.0386636 | + | 0.0401028i | ||||
\(541\) | 9.27001 | − | 30.5591i | 0.398549 | − | 1.31384i | −0.496564 | − | 0.868000i | \(-0.665405\pi\) |
0.895113 | − | 0.445839i | \(-0.147095\pi\) | |||||||
\(542\) | 32.7025 | + | 9.59486i | 1.40469 | + | 0.412134i | ||||
\(543\) | 12.2342 | + | 12.2342i | 0.525019 | + | 0.525019i | ||||
\(544\) | −4.07585 | + | 5.45664i | −0.174751 | + | 0.233951i | ||||
\(545\) | −9.37142 | + | 9.37142i | −0.401428 | + | 0.401428i | ||||
\(546\) | −30.4515 | + | 16.6361i | −1.30320 | + | 0.711958i | ||||
\(547\) | 27.9288 | + | 8.47210i | 1.19415 | + | 0.362241i | 0.823923 | − | 0.566701i | \(-0.191781\pi\) |
0.370225 | + | 0.928942i | \(0.379281\pi\) | |||||||
\(548\) | 5.27863 | − | 13.4328i | 0.225492 | − | 0.573819i | ||||
\(549\) | 6.56869 | + | 0.646959i | 0.280345 | + | 0.0276115i | ||||
\(550\) | −1.13341 | − | 5.43793i | −0.0483287 | − | 0.231874i | ||||
\(551\) | 17.4585 | + | 3.47271i | 0.743756 | + | 0.147942i | ||||
\(552\) | 7.87956 | − | 12.5223i | 0.335376 | − | 0.532985i | ||||
\(553\) | 9.63764 | + | 48.4517i | 0.409834 | + | 2.06037i | ||||
\(554\) | 6.50029 | − | 16.1077i | 0.276171 | − | 0.684351i | ||||
\(555\) | −1.00078 | − | 0.534927i | −0.0424807 | − | 0.0227064i | ||||
\(556\) | −29.3652 | + | 16.3927i | −1.24536 | + | 0.695206i | ||||
\(557\) | 34.3208 | − | 3.38031i | 1.45422 | − | 0.143228i | 0.660187 | − | 0.751102i | \(-0.270477\pi\) |
0.794034 | + | 0.607873i | \(0.207977\pi\) | |||||||
\(558\) | −4.84334 | + | 1.51766i | −0.205035 | + | 0.0642478i | ||||
\(559\) | −17.3462 | − | 41.8774i | −0.733665 | − | 1.77122i | ||||
\(560\) | 11.6505 | − | 1.57906i | 0.492323 | − | 0.0667275i | ||||
\(561\) | 0.395048 | − | 0.953729i | 0.0166789 | − | 0.0402665i | ||||
\(562\) | 1.75949 | − | 19.7085i | 0.0742197 | − | 0.831353i | ||||
\(563\) | −12.1446 | + | 14.7982i | −0.511832 | + | 0.623669i | −0.963238 | − | 0.268649i | \(-0.913423\pi\) |
0.451406 | + | 0.892319i | \(0.350923\pi\) | |||||||
\(564\) | 0.213055 | + | 0.108924i | 0.00897124 | + | 0.00458651i | ||||
\(565\) | −3.85879 | − | 12.7207i | −0.162340 | − | 0.535164i | ||||
\(566\) | −0.0872212 | − | 9.54770i | −0.00366618 | − | 0.401320i | ||||
\(567\) | −3.77588 | − | 2.52296i | −0.158572 | − | 0.105954i | ||||
\(568\) | −21.6355 | − | 16.7851i | −0.907806 | − | 0.704289i | ||||
\(569\) | −20.4848 | − | 30.6577i | −0.858769 | − | 1.28524i | −0.957004 | − | 0.290075i | \(-0.906320\pi\) |
0.0982353 | − | 0.995163i | \(-0.468680\pi\) | |||||||
\(570\) | −0.354673 | + | 1.87229i | −0.0148556 | + | 0.0784216i | ||||
\(571\) | −17.2162 | + | 14.1290i | −0.720476 | + | 0.591279i | −0.921533 | − | 0.388300i | \(-0.873062\pi\) |
0.201057 | + | 0.979580i | \(0.435562\pi\) | |||||||
\(572\) | 9.11859 | + | 1.64122i | 0.381268 | + | 0.0686229i | ||||
\(573\) | −1.23102 | − | 2.30307i | −0.0514265 | − | 0.0962122i | ||||
\(574\) | −27.4401 | − | 22.1031i | −1.14533 | − | 0.922566i | ||||
\(575\) | − | 23.9630i | − | 0.999327i | ||||||
\(576\) | −0.438263 | − | 7.98799i | −0.0182609 | − | 0.332833i | ||||
\(577\) | 7.25988i | 0.302233i | 0.988516 | + | 0.151116i | \(0.0482868\pi\) | ||||
−0.988516 | + | 0.151116i | \(0.951713\pi\) | |||||||
\(578\) | 13.7954 | − | 17.1265i | 0.573814 | − | 0.712367i | ||||
\(579\) | 4.48705 | + | 8.39469i | 0.186476 | + | 0.348871i | ||||
\(580\) | 9.08905 | − | 6.31630i | 0.377402 | − | 0.262270i | ||||
\(581\) | −15.0123 | + | 12.3203i | −0.622815 | + | 0.511131i | ||||
\(582\) | −0.718095 | − | 0.136031i | −0.0297660 | − | 0.00563866i | ||||
\(583\) | 5.04080 | + | 7.54410i | 0.208769 | + | 0.312445i | ||||
\(584\) | −1.90539 | − | 0.521428i | −0.0788457 | − | 0.0215768i | ||||
\(585\) | −2.90769 | − | 1.94286i | −0.120218 | − | 0.0803273i | ||||
\(586\) | −17.9256 | + | 0.163756i | −0.740499 | + | 0.00676468i | ||||
\(587\) | 9.76925 | + | 32.2049i | 0.403220 | + | 1.32924i | 0.890098 | + | 0.455769i | \(0.150636\pi\) |
−0.486878 | + | 0.873470i | \(0.661864\pi\) | |||||||
\(588\) | 8.38384 | + | 25.9231i | 0.345744 | + | 1.06905i | ||||
\(589\) | −4.73997 | + | 5.77567i | −0.195307 | + | 0.237982i | ||||
\(590\) | 0.440850 | + | 0.0393572i | 0.0181495 | + | 0.00162031i | ||||
\(591\) | 10.1737 | − | 24.5615i | 0.418490 | − | 1.01032i | ||||
\(592\) | 6.63215 | − | 2.27957i | 0.272580 | − | 0.0936896i | ||||
\(593\) | 2.13915 | + | 5.16436i | 0.0878442 | + | 0.212075i | 0.961696 | − | 0.274117i | \(-0.0883856\pi\) |
−0.873852 | + | 0.486192i | \(0.838386\pi\) | |||||||
\(594\) | 0.362570 | + | 1.15707i | 0.0148764 | + | 0.0474753i | ||||
\(595\) | 3.52181 | − | 0.346868i | 0.144380 | − | 0.0142202i | ||||
\(596\) | 6.71932 | − | 23.7011i | 0.275234 | − | 0.970833i | ||||
\(597\) | −17.8071 | − | 9.51811i | −0.728797 | − | 0.389550i | ||||
\(598\) | 37.0649 | + | 14.9576i | 1.51569 | + | 0.611661i | ||||
\(599\) | −1.10101 | − | 5.53513i | −0.0449859 | − | 0.226159i | 0.951752 | − | 0.306869i | \(-0.0992813\pi\) |
−0.996738 | + | 0.0807097i | \(0.974281\pi\) | |||||||
\(600\) | −7.49117 | − | 10.5723i | −0.305826 | − | 0.431611i | ||||
\(601\) | 44.1780 | + | 8.78756i | 1.80206 | + | 0.358452i | 0.978090 | − | 0.208182i | \(-0.0667547\pi\) |
0.823969 | + | 0.566634i | \(0.191755\pi\) | |||||||
\(602\) | −52.7449 | + | 10.9934i | −2.14972 | + | 0.448058i | ||||
\(603\) | −4.15295 | − | 0.409030i | −0.169121 | − | 0.0166570i | ||||
\(604\) | −13.7799 | + | 6.00506i | −0.560696 | + | 0.244343i | ||||
\(605\) | −6.35775 | − | 1.92860i | −0.258479 | − | 0.0784089i | ||||
\(606\) | 8.72465 | + | 15.9700i | 0.354415 | + | 0.648738i | ||||
\(607\) | −12.4161 | + | 12.4161i | −0.503953 | + | 0.503953i | −0.912664 | − | 0.408711i | \(-0.865978\pi\) |
0.408711 | + | 0.912664i | \(0.365978\pi\) | |||||||
\(608\) | −6.98305 | − | 9.48301i | −0.283200 | − | 0.384587i | ||||
\(609\) | 27.4562 | + | 27.4562i | 1.11258 | + | 1.11258i | ||||
\(610\) | 1.70091 | − | 5.79728i | 0.0688679 | − | 0.234725i | ||||
\(611\) | −0.187648 | + | 0.618592i | −0.00759142 | + | 0.0250256i | ||||
\(612\) | −0.0439918 | − | 2.40759i | −0.00177826 | − | 0.0973211i | ||||
\(613\) | −0.104808 | + | 1.06413i | −0.00423315 | + | 0.0429799i | −0.997069 | − | 0.0765043i | \(-0.975624\pi\) |
0.992836 | + | 0.119484i | \(0.0381241\pi\) | |||||||
\(614\) | −0.123493 | + | 0.188526i | −0.00498376 | + | 0.00760827i | ||||
\(615\) | 0.692771 | − | 3.48279i | 0.0279352 | − | 0.140440i | ||||
\(616\) | 3.93406 | − | 10.2862i | 0.158508 | − | 0.414444i | ||||
\(617\) | 6.41479 | − | 1.27598i | 0.258250 | − | 0.0513690i | −0.0642674 | − | 0.997933i | \(-0.520471\pi\) |
0.322517 | + | 0.946564i | \(0.395471\pi\) | |||||||
\(618\) | −9.06214 | − | 21.3248i | −0.364533 | − | 0.857811i | ||||
\(619\) | 6.59408 | − | 12.3366i | 0.265038 | − | 0.495852i | −0.713837 | − | 0.700312i | \(-0.753044\pi\) |
0.978875 | + | 0.204461i | \(0.0655440\pi\) | |||||||
\(620\) | 0.539763 | + | 4.61438i | 0.0216774 | + | 0.185318i | ||||
\(621\) | 0.512715 | + | 5.20568i | 0.0205745 | + | 0.208897i | ||||
\(622\) | 1.50045 | + | 0.784471i | 0.0601626 | + | 0.0314544i | ||||
\(623\) | −56.0122 | + | 23.2010i | −2.24408 | + | 0.929529i | ||||
\(624\) | 21.0286 | − | 4.98785i | 0.841818 | − | 0.199674i | ||||
\(625\) | −17.4536 | − | 7.22954i | −0.698146 | − | 0.289181i | ||||
\(626\) | 0.189403 | + | 0.226536i | 0.00757005 | + | 0.00905420i | ||||
\(627\) | 1.37981 | + | 1.13238i | 0.0551042 | + | 0.0452228i | ||||
\(628\) | −3.15068 | + | 39.3466i | −0.125726 | + | 1.57010i | ||||
\(629\) | 2.02001 | − | 0.612762i | 0.0805429 | − | 0.0244324i | ||||
\(630\) | −2.91228 | + | 2.96598i | −0.116028 | + | 0.118168i | ||||
\(631\) | −9.24231 | + | 13.8321i | −0.367930 | + | 0.550647i | −0.968528 | − | 0.248905i | \(-0.919929\pi\) |
0.600598 | + | 0.799551i | \(0.294929\pi\) | |||||||
\(632\) | 2.17567 | − | 30.6916i | 0.0865434 | − | 1.22085i | ||||
\(633\) | 9.69154 | − | 6.47568i | 0.385204 | − | 0.257385i | ||||
\(634\) | −9.28532 | − | 13.6254i | −0.368767 | − | 0.541132i | ||||
\(635\) | 0.462641 | + | 0.563730i | 0.0183594 | + | 0.0223709i | ||||
\(636\) | 17.8094 | + | 11.4349i | 0.706190 | + | 0.453422i | ||||
\(637\) | −64.9120 | + | 34.6962i | −2.57191 | + | 1.37471i | ||||
\(638\) | −1.11043 | − | 10.3081i | −0.0439622 | − | 0.408101i | ||||
\(639\) | 9.68140 | 0.382990 | ||||||||
\(640\) | −7.25860 | − | 0.966725i | −0.286921 | − | 0.0382131i | ||||
\(641\) | −20.4930 | −0.809426 | −0.404713 | − | 0.914444i | \(-0.632629\pi\) | ||||
−0.404713 | + | 0.914444i | \(0.632629\pi\) | |||||||
\(642\) | −1.48344 | − | 13.7708i | −0.0585467 | − | 0.543490i | ||||
\(643\) | −33.5517 | + | 17.9338i | −1.32315 | + | 0.707239i | −0.973294 | − | 0.229564i | \(-0.926270\pi\) |
−0.349858 | + | 0.936803i | \(0.613770\pi\) | |||||||
\(644\) | 25.6685 | − | 39.9778i | 1.01148 | − | 1.57535i | ||||
\(645\) | −3.44470 | − | 4.19738i | −0.135635 | − | 0.165272i | ||||
\(646\) | −1.99621 | − | 2.92926i | −0.0785399 | − | 0.115250i | ||||
\(647\) | 15.4776 | − | 10.3418i | 0.608486 | − | 0.406577i | −0.212799 | − | 0.977096i | \(-0.568258\pi\) |
0.821284 | + | 0.570519i | \(0.193258\pi\) | |||||||
\(648\) | 1.85357 | + | 2.13641i | 0.0728152 | + | 0.0839263i | ||||
\(649\) | 0.230334 | − | 0.344718i | 0.00904138 | − | 0.0135314i | ||||
\(650\) | 24.5245 | − | 24.9767i | 0.961930 | − | 0.979667i | ||||
\(651\) | −15.5964 | + | 4.73112i | −0.611272 | + | 0.185427i | ||||
\(652\) | 10.4940 | + | 0.840305i | 0.410975 | + | 0.0329089i | ||||
\(653\) | −30.6330 | − | 25.1399i | −1.19876 | − | 0.983800i | −0.999993 | − | 0.00375339i | \(-0.998805\pi\) |
−0.198770 | − | 0.980046i | \(-0.563695\pi\) | |||||||
\(654\) | 18.5745 | + | 22.2162i | 0.726322 | + | 0.868720i | ||||
\(655\) | 5.31207 | + | 2.20033i | 0.207560 | + | 0.0859740i | ||||
\(656\) | 12.8508 | + | 17.7895i | 0.501740 | + | 0.694565i | ||||
\(657\) | 0.645263 | − | 0.267277i | 0.0251741 | − | 0.0104275i | ||||
\(658\) | 0.680922 | + | 0.356001i | 0.0265451 | + | 0.0138784i | ||||
\(659\) | 0.487480 | + | 4.94947i | 0.0189895 | + | 0.192804i | 0.999999 | − | 0.00115418i | \(-0.000367387\pi\) |
−0.981010 | + | 0.193958i | \(0.937867\pi\) | |||||||
\(660\) | 1.10237 | − | 0.128949i | 0.0429099 | − | 0.00501934i | ||||
\(661\) | 3.38955 | − | 6.34140i | 0.131838 | − | 0.246652i | −0.807337 | − | 0.590091i | \(-0.799092\pi\) |
0.939175 | + | 0.343439i | \(0.111592\pi\) | |||||||
\(662\) | 11.1457 | + | 26.2278i | 0.433190 | + | 1.01937i | ||||
\(663\) | 6.38022 | − | 1.26910i | 0.247787 | − | 0.0492879i | ||||
\(664\) | 11.0440 | − | 4.93335i | 0.428592 | − | 0.191451i | ||||
\(665\) | −1.19377 | + | 6.00149i | −0.0462925 | + | 0.232728i | ||||
\(666\) | −1.35863 | + | 2.07409i | −0.0526457 | + | 0.0803695i | ||||
\(667\) | 4.38389 | − | 44.5104i | 0.169745 | − | 1.72345i | ||||
\(668\) | 35.4100 | − | 0.647016i | 1.37005 | − | 0.0250338i | ||||
\(669\) | 5.67814 | − | 18.7183i | 0.219530 | − | 0.723692i | ||||
\(670\) | −1.07537 | + | 3.66524i | −0.0415453 | + | 0.141600i | ||||
\(671\) | −4.00170 | − | 4.00170i | −0.154484 | − | 0.154484i | ||||
\(672\) | −1.17294 | − | 25.6622i | −0.0452472 | − | 0.989939i | ||||
\(673\) | −14.0244 | + | 14.0244i | −0.540600 | + | 0.540600i | −0.923705 | − | 0.383105i | \(-0.874855\pi\) |
0.383105 | + | 0.923705i | \(0.374855\pi\) | |||||||
\(674\) | 1.97867 | + | 3.62186i | 0.0762156 | + | 0.139509i | ||||
\(675\) | 4.38382 | + | 1.32982i | 0.168733 | + | 0.0511847i | ||||
\(676\) | 12.9378 | + | 29.6886i | 0.497608 | + | 1.14187i | ||||
\(677\) | −12.3847 | − | 1.21979i | −0.475984 | − | 0.0468803i | −0.142819 | − | 0.989749i | \(-0.545617\pi\) |
−0.333165 | + | 0.942868i | \(0.608117\pi\) | |||||||
\(678\) | −28.4343 | + | 5.92645i | −1.09201 | + | 0.227604i | ||||
\(679\) | −2.30180 | − | 0.457857i | −0.0883351 | − | 0.0175709i | ||||
\(680\) | −2.17274 | − | 0.370605i | −0.0833209 | − | 0.0142121i | ||||
\(681\) | −3.85510 | − | 19.3809i | −0.147728 | − | 0.742677i | ||||
\(682\) | 4.03558 | + | 1.62856i | 0.154530 | + | 0.0623609i | ||||
\(683\) | −4.03299 | − | 2.15568i | −0.154318 | − | 0.0824847i | 0.392430 | − | 0.919782i | \(-0.371634\pi\) |
−0.546748 | + | 0.837297i | \(0.684134\pi\) | |||||||
\(684\) | 4.00582 | + | 1.13566i | 0.153166 | + | 0.0434231i | ||||
\(685\) | 4.64822 | − | 0.457810i | 0.177600 | − | 0.0174920i | ||||
\(686\) | 12.7176 | + | 40.5859i | 0.485560 | + | 1.54958i | ||||
\(687\) | 6.11467 | + | 14.7621i | 0.233289 | + | 0.563210i | ||||
\(688\) | 33.4936 | + | 2.06698i | 1.27693 | + | 0.0788030i | ||||
\(689\) | −21.8802 | + | 52.8236i | −0.833571 | + | 2.01242i | ||||
\(690\) | 4.76904 | + | 0.425759i | 0.181554 | + | 0.0162084i | ||||
\(691\) | −14.5439 | + | 17.7217i | −0.553274 | + | 0.674167i | −0.972281 | − | 0.233816i | \(-0.924879\pi\) |
0.419006 | + | 0.907983i | \(0.362379\pi\) | |||||||
\(692\) | 28.0366 | − | 9.06734i | 1.06579 | − | 0.344689i | ||||
\(693\) | 1.13026 | + | 3.72598i | 0.0429352 | + | 0.141538i | ||||
\(694\) | 6.58984 | − | 0.0602002i | 0.250147 | − | 0.00228517i | ||||
\(695\) | −9.04941 | − | 6.04663i | −0.343264 | − | 0.229362i | ||||
\(696\) | −11.9804 | − | 21.0080i | −0.454117 | − | 0.796307i | ||||
\(697\) | 3.66988 | + | 5.49237i | 0.139007 | + | 0.208038i | ||||
\(698\) | −22.4150 | − | 4.24614i | −0.848421 | − | 0.160719i | ||||
\(699\) | −0.646735 | + | 0.530762i | −0.0244618 | + | 0.0200753i | ||||
\(700\) | −23.7439 | − | 34.1671i | −0.897436 | − | 1.29140i | ||||
\(701\) | 3.23923 | + | 6.06016i | 0.122344 | + | 0.228889i | 0.935636 | − | 0.352966i | \(-0.114827\pi\) |
−0.813292 | + | 0.581855i | \(0.802327\pi\) | |||||||
\(702\) | −4.79325 | + | 5.95062i | −0.180910 | + | 0.224592i | ||||
\(703\) | 3.64998i | 0.137662i | ||||||||
\(704\) | −4.05443 | + | 5.53267i | −0.152807 | + | 0.208520i | ||||
\(705\) | 0.0774371i | 0.00291645i | ||||||||
\(706\) | −13.0267 | − | 10.4931i | −0.490266 | − | 0.394912i | ||||
\(707\) | 27.5463 | + | 51.5354i | 1.03598 | + | 1.93819i | ||||
\(708\) | 0.171309 | − | 0.951789i | 0.00643818 | − | 0.0357704i | ||||
\(709\) | 20.7723 | − | 17.0474i | 0.780119 | − | 0.640227i | −0.157647 | − | 0.987496i | \(-0.550391\pi\) |
0.937766 | + | 0.347269i | \(0.112891\pi\) | |||||||
\(710\) | 1.64937 | − | 8.70690i | 0.0618998 | − | 0.326764i | ||||
\(711\) | 6.04369 | + | 9.04502i | 0.226656 | + | 0.339215i | ||||
\(712\) | 37.4634 | − | 4.72954i | 1.40400 | − | 0.177247i | ||||
\(713\) | 15.6095 | + | 10.4299i | 0.584580 | + | 0.390604i | ||||
\(714\) | −0.0706344 | − | 7.73203i | −0.00264343 | − | 0.289364i | ||||
\(715\) | 0.870384 | + | 2.86927i | 0.0325505 | + | 0.107305i | ||||
\(716\) | −6.77641 | + | 13.2547i | −0.253246 | + | 0.495352i | ||||
\(717\) | −9.00995 | + | 10.9787i | −0.336483 | + | 0.410005i | ||||
\(718\) | −1.86114 | + | 20.8471i | −0.0694571 | + | 0.778006i | ||||
\(719\) | 10.5552 | − | 25.4825i | 0.393642 | − | 0.950337i | −0.595497 | − | 0.803357i | \(-0.703045\pi\) |
0.989140 | − | 0.146979i | \(-0.0469551\pi\) | |||||||
\(720\) | 2.23715 | − | 1.30303i | 0.0833737 | − | 0.0485609i | ||||
\(721\) | −28.4729 | − | 68.7396i | −1.06038 | − | 2.55999i | ||||
\(722\) | −19.7918 | + | 6.20178i | −0.736576 | + | 0.230806i | ||||
\(723\) | −13.3910 | + | 1.31890i | −0.498017 | + | 0.0490504i | ||||
\(724\) | −16.8668 | − | 30.2144i | −0.626848 | − | 1.12291i | ||||
\(725\) | −34.5447 | − | 18.4645i | −1.28296 | − | 0.685756i | ||||
\(726\) | −5.43256 | + | 13.4619i | −0.201621 | + | 0.499617i | ||||
\(727\) | 0.625319 | + | 3.14369i | 0.0231918 | + | 0.116593i | 0.990647 | − | 0.136449i | \(-0.0435689\pi\) |
−0.967455 | + | 0.253042i | \(0.918569\pi\) | |||||||
\(728\) | 67.6689 | − | 15.3991i | 2.50798 | − | 0.570728i | ||||
\(729\) | −0.980785 | − | 0.195090i | −0.0363254 | − | 0.00722557i | ||||
\(730\) | −0.130443 | − | 0.625847i | −0.00482791 | − | 0.0231636i | ||||
\(731\) | 10.0521 | + | 0.990045i | 0.371790 | + | 0.0366181i | ||||
\(732\) | −12.2863 | − | 4.82813i | −0.454116 | − | 0.178453i | ||||
\(733\) | −10.9504 | − | 3.32177i | −0.404463 | − | 0.122692i | 0.0814971 | − | 0.996674i | \(-0.474030\pi\) |
−0.485960 | + | 0.873981i | \(0.661530\pi\) | |||||||
\(734\) | 45.3914 | − | 24.7980i | 1.67543 | − | 0.915310i | ||||
\(735\) | −6.23462 | + | 6.23462i | −0.229967 | + | 0.229967i | ||||
\(736\) | −21.9926 | + | 19.7967i | −0.810658 | + | 0.729715i | ||||
\(737\) | 2.53001 | + | 2.53001i | 0.0931942 | + | 0.0931942i | ||||
\(738\) | −7.44512 | − | 2.18439i | −0.274059 | − | 0.0804083i | ||||
\(739\) | 11.3566 | − | 37.4375i | 0.417758 | − | 1.37716i | −0.455644 | − | 0.890162i | \(-0.650591\pi\) |
0.873402 | − | 0.487000i | \(-0.161909\pi\) | |||||||
\(740\) | 1.63386 | + | 1.57522i | 0.0600618 | + | 0.0579063i | ||||
\(741\) | −1.10252 | + | 11.1941i | −0.0405021 | + | 0.411225i | ||||
\(742\) | 56.8504 | + | 37.2396i | 2.08704 | + | 1.36711i | ||||
\(743\) | −1.55821 | + | 7.83366i | −0.0571652 | + | 0.287389i | −0.998784 | − | 0.0492907i | \(-0.984304\pi\) |
0.941619 | + | 0.336680i | \(0.109304\pi\) | |||||||
\(744\) | 10.1473 | − | 0.278158i | 0.372018 | − | 0.0101978i | ||||
\(745\) | 7.81924 | − | 1.55534i | 0.286475 | − | 0.0569834i | ||||
\(746\) | −12.3816 | + | 5.26166i | −0.453324 | + | 0.192643i | ||||
\(747\) | −2.01594 | + | 3.77155i | −0.0737593 | + | 0.137994i | ||||
\(748\) | −1.28040 | + | 1.61963i | −0.0468162 | + | 0.0592197i | ||||
\(749\) | −4.35936 | − | 44.2613i | −0.159288 | − | 1.61727i | ||||
\(750\) | 4.06328 | − | 7.77181i | 0.148370 | − | 0.283786i | ||||
\(751\) | 26.8692 | − | 11.1296i | 0.980470 | − | 0.406124i | 0.165870 | − | 0.986148i | \(-0.446957\pi\) |
0.814600 | + | 0.580024i | \(0.196957\pi\) | |||||||
\(752\) | −0.350535 | − | 0.325810i | −0.0127827 | − | 0.0118811i | ||||
\(753\) | −2.44514 | − | 1.01281i | −0.0891060 | − | 0.0369089i | ||||
\(754\) | 50.1227 | − | 41.9067i | 1.82536 | − | 1.52615i | ||||
\(755\) | −3.76031 | − | 3.08601i | −0.136852 | − | 0.112311i | ||||
\(756\) | 5.88913 | + | 6.91437i | 0.214185 | + | 0.251473i | ||||
\(757\) | 32.6965 | − | 9.91837i | 1.18837 | − | 0.360489i | 0.366642 | − | 0.930362i | \(-0.380508\pi\) |
0.821733 | + | 0.569873i | \(0.193008\pi\) | |||||||
\(758\) | −19.7858 | − | 19.4276i | −0.718652 | − | 0.705641i | ||||
\(759\) | 2.49171 | − | 3.72910i | 0.0904433 | − | 0.135358i | ||||
\(760\) | 1.70380 | − | 3.40912i | 0.0618033 | − | 0.123662i | ||||
\(761\) | −20.5636 | + | 13.7402i | −0.745430 | + | 0.498080i | −0.869341 | − | 0.494213i | \(-0.835456\pi\) |
0.123911 | + | 0.992293i | \(0.460456\pi\) | |||||||
\(762\) | 1.31675 | − | 0.897332i | 0.0477009 | − | 0.0325069i | ||||
\(763\) | 58.9909 | + | 71.8806i | 2.13561 | + | 2.60225i | ||||
\(764\) | 1.11234 | + | 5.10303i | 0.0402431 | + | 0.184621i | ||||
\(765\) | 0.687260 | − | 0.367348i | 0.0248479 | − | 0.0132815i | ||||
\(766\) | 8.97632 | − | 0.966962i | 0.324328 | − | 0.0349378i | ||||
\(767\) | 2.61258 | 0.0943349 | ||||||||
\(768\) | −3.51422 | + | 15.6093i | −0.126808 | + | 0.563252i | ||||
\(769\) | −35.2385 | −1.27073 | −0.635367 | − | 0.772211i | \(-0.719151\pi\) | ||||
−0.635367 | + | 0.772211i | \(0.719151\pi\) | |||||||
\(770\) | 3.54349 | − | 0.381718i | 0.127699 | − | 0.0137562i | ||||
\(771\) | 26.4186 | − | 14.1210i | 0.951443 | − | 0.508557i | ||||
\(772\) | −4.05448 | − | 18.6005i | −0.145924 | − | 0.669447i | ||||
\(773\) | 10.1963 | + | 12.4242i | 0.366736 | + | 0.446869i | 0.923383 | − | 0.383880i | \(-0.125412\pi\) |
−0.556647 | + | 0.830749i | \(0.687912\pi\) | |||||||
\(774\) | −9.80419 | + | 6.68130i | −0.352404 | + | 0.240154i | ||||
\(775\) | 13.6705 | − | 9.13430i | 0.491057 | − | 0.328114i | ||||
\(776\) | 1.30753 | + | 0.653472i | 0.0469376 | + | 0.0234583i | ||||
\(777\) | −4.42337 | + | 6.62003i | −0.158687 | + | 0.237492i | ||||
\(778\) | 12.0069 | + | 11.7895i | 0.430468 | + | 0.422674i | ||||
\(779\) | −10.9300 | + | 3.31559i | −0.391609 | + | 0.118793i | ||||
\(780\) | 4.53504 | + | 5.32455i | 0.162381 | + | 0.190650i | ||||
\(781\) | −6.41665 | − | 5.26601i | −0.229606 | − | 0.188433i | ||||
\(782\) | −6.83302 | + | 5.71297i | −0.244348 | + | 0.204295i | ||||
\(783\) | 7.89950 | + | 3.27208i | 0.282305 | + | 0.116935i | ||||
\(784\) | −1.99064 | − | 54.4539i | −0.0710944 | − | 1.94478i | ||||
\(785\) | −11.8017 | + | 4.88844i | −0.421222 | + | 0.174476i | ||||
\(786\) | 5.82075 | − | 11.1333i | 0.207619 | − | 0.397112i | ||||
\(787\) | 2.50261 | + | 25.4095i | 0.0892085 | + | 0.905749i | 0.930774 | + | 0.365595i | \(0.119134\pi\) |
−0.841566 | + | 0.540155i | \(0.818366\pi\) | |||||||
\(788\) | −32.9744 | + | 41.7106i | −1.17466 | + | 1.48588i | ||||
\(789\) | 4.76171 | − | 8.90852i | 0.169521 | − | 0.317152i | ||||
\(790\) | 9.16421 | − | 3.89439i | 0.326048 | − | 0.138556i | ||||
\(791\) | −91.4758 | + | 18.1957i | −3.25251 | + | 0.646963i | ||||
\(792\) | −0.0664519 | − | 2.42419i | −0.00236126 | − | 0.0861398i | ||||
\(793\) | 6.95740 | − | 34.9772i | 0.247064 | − | 1.24208i | ||||
\(794\) | 8.49906 | + | 5.56726i | 0.301620 | + | 0.197575i | ||||
\(795\) | −0.671342 | + | 6.81625i | −0.0238101 | + | 0.241748i | ||||
\(796\) | 29.0717 | + | 28.0284i | 1.03042 | + | 0.993439i | ||||
\(797\) | −0.354482 | + | 1.16857i | −0.0125564 | + | 0.0413929i | −0.962995 | − | 0.269520i | \(-0.913135\pi\) |
0.950438 | + | 0.310913i | \(0.100635\pi\) | |||||||
\(798\) | 12.8293 | + | 3.76410i | 0.454153 | + | 0.133248i | ||||
\(799\) | −0.101858 | − | 0.101858i | −0.00360347 | − | 0.00360347i | ||||
\(800\) | 8.64703 | + | 24.4293i | 0.305719 | + | 0.863706i | ||||
\(801\) | −9.44019 | + | 9.44019i | −0.333553 | + | 0.333553i | ||||
\(802\) | −29.7909 | + | 16.2752i | −1.05195 | + | 0.574698i | ||||
\(803\) | −0.573048 | − | 0.173832i | −0.0202224 | − | 0.00613440i | ||||
\(804\) | 7.76784 | + | 3.05251i | 0.273951 | + | 0.107654i | ||||
\(805\) | 15.3008 | + | 1.50700i | 0.539283 | + | 0.0531147i | ||||
\(806\) | 5.59550 | + | 26.8464i | 0.197093 | + | 0.945624i | ||||
\(807\) | −17.3906 | − | 3.45920i | −0.612177 | − | 0.121770i | ||||
\(808\) | −8.07592 | − | 35.4884i | −0.284110 | − | 1.24848i | ||||
\(809\) | 4.47414 | + | 22.4930i | 0.157302 | + | 0.790812i | 0.976200 | + | 0.216872i | \(0.0695855\pi\) |
−0.818898 | + | 0.573939i | \(0.805414\pi\) | |||||||
\(810\) | −0.342544 | + | 0.848825i | −0.0120358 | + | 0.0298247i | ||||
\(811\) | 16.6733 | + | 8.91206i | 0.585478 | + | 0.312945i | 0.737409 | − | 0.675446i | \(-0.236049\pi\) |
−0.151931 | + | 0.988391i | \(0.548549\pi\) | |||||||
\(812\) | −37.8528 | − | 67.8079i | −1.32837 | − | 2.37959i | ||||
\(813\) | 23.9829 | − | 2.36211i | 0.841116 | − | 0.0828427i | ||||
\(814\) | 2.02863 | − | 0.635673i | 0.0711036 | − | 0.0222803i | ||||
\(815\) | 1.30377 | + | 3.14759i | 0.0456692 | + | 0.110255i | ||||
\(816\) | −1.22871 | + | 4.65661i | −0.0430135 | + | 0.163014i | ||||
\(817\) | −6.68368 | + | 16.1358i | −0.233832 | + | 0.564521i | ||||
\(818\) | −1.09428 | + | 12.2573i | −0.0382607 | + | 0.428568i | ||||
\(819\) | −15.5656 | + | 18.9668i | −0.543907 | + | 0.662752i | ||||
\(820\) | −3.23290 | + | 6.32357i | −0.112898 | + | 0.220829i | ||||
\(821\) | 3.72572 | + | 12.2821i | 0.130029 | + | 0.428647i | 0.997645 | − | 0.0685872i | \(-0.0218491\pi\) |
−0.867617 | + | 0.497234i | \(0.834349\pi\) | |||||||
\(822\) | −0.0932261 | − | 10.2050i | −0.00325163 | − | 0.355942i | ||||
\(823\) | 29.7264 | + | 19.8625i | 1.03620 | + | 0.692364i | 0.952628 | − | 0.304138i | \(-0.0983684\pi\) |
0.0835682 | + | 0.996502i | \(0.473368\pi\) | |||||||
\(824\) | 5.80421 | + | 45.9760i | 0.202199 | + | 1.60165i | ||||
\(825\) | −2.18218 | − | 3.26587i | −0.0759739 | − | 0.113703i | ||||
\(826\) | 0.577989 | − | 3.05116i | 0.0201108 | − | 0.106163i | ||||
\(827\) | −22.9967 | + | 18.8729i | −0.799673 | + | 0.656275i | −0.942774 | − | 0.333433i | \(-0.891793\pi\) |
0.143100 | + | 0.989708i | \(0.454293\pi\) | |||||||
\(828\) | 1.85319 | − | 10.2963i | 0.0644027 | − | 0.357821i | ||||
\(829\) | −17.5309 | − | 32.7980i | −0.608873 | − | 1.13912i | −0.977776 | − | 0.209654i | \(-0.932766\pi\) |
0.368902 | − | 0.929468i | \(-0.379734\pi\) | |||||||
\(830\) | 3.04847 | + | 2.45556i | 0.105814 | + | 0.0852336i | ||||
\(831\) | − | 12.2824i | − | 0.426070i | ||||||
\(832\) | −43.1835 | − | 1.87380i | −1.49712 | − | 0.0649625i | ||||
\(833\) | − | 16.4015i | − | 0.568279i | ||||||
\(834\) | −14.9177 | + | 18.5197i | −0.516558 | + | 0.641286i | ||||
\(835\) | 5.40282 | + | 10.1080i | 0.186972 | + | 0.349800i | ||||
\(836\) | −2.03726 | − | 2.93158i | −0.0704601 | − | 0.101391i | ||||
\(837\) | −2.77430 | + | 2.27681i | −0.0958940 | + | 0.0786981i | ||||
\(838\) | −9.56981 | − | 1.81284i | −0.330584 | − | 0.0626234i | ||||
\(839\) | 21.0921 | + | 31.5666i | 0.728181 | + | 1.08980i | 0.992124 | + | 0.125261i | \(0.0399769\pi\) |
−0.263943 | + | 0.964538i | \(0.585023\pi\) | |||||||
\(840\) | 7.22168 | − | 4.11837i | 0.249172 | − | 0.142097i | ||||
\(841\) | −36.6749 | − | 24.5054i | −1.26465 | − | 0.845014i | ||||
\(842\) | −4.03178 | + | 0.0368315i | −0.138944 | + | 0.00126930i | ||||
\(843\) | −4.06150 | − | 13.3890i | −0.139886 | − | 0.461141i | ||||
\(844\) | −22.1807 | + | 7.17349i | −0.763491 | + | 0.246922i | ||||
\(845\) | −6.64876 | + | 8.10153i | −0.228724 | + | 0.278701i | ||||
\(846\) | 0.168529 | + | 0.0150456i | 0.00579415 | + | 0.000517277i | ||||
\(847\) | −17.8387 | + | 43.0665i | −0.612946 | + | 1.47978i | ||||
\(848\) | −28.0305 | − | 31.7178i | −0.962573 | − | 1.08919i | ||||
\(849\) | −2.58370 | − | 6.23760i | −0.0886723 | − | 0.214074i | ||||
\(850\) | 2.33238 | + | 7.44337i | 0.0800001 | + | 0.255306i | ||||
\(851\) | 9.12682 | − | 0.898914i | 0.312864 | − | 0.0308144i | ||||
\(852\) | −18.6286 | − | 5.28128i | −0.638207 | − | 0.180934i | ||||
\(853\) | −35.3222 | − | 18.8801i | −1.20941 | − | 0.646442i | −0.261567 | − | 0.965185i | \(-0.584239\pi\) |
−0.947841 | + | 0.318743i | \(0.896739\pi\) | |||||||
\(854\) | −39.3096 | − | 15.8634i | −1.34515 | − | 0.542836i | ||||
\(855\) | 0.262875 | + | 1.32156i | 0.00899015 | + | 0.0451965i | ||||
\(856\) | −4.65769 | + | 27.3065i | −0.159196 | + | 0.933319i | ||||
\(857\) | 8.61328 | + | 1.71329i | 0.294224 | + | 0.0585248i | 0.339995 | − | 0.940427i | \(-0.389575\pi\) |
−0.0457712 | + | 0.998952i | \(0.514575\pi\) | |||||||
\(858\) | 6.41360 | − | 1.33676i | 0.218957 | − | 0.0456363i | ||||
\(859\) | −23.5904 | − | 2.32345i | −0.804893 | − | 0.0792750i | −0.312801 | − | 0.949819i | \(-0.601267\pi\) |
−0.492091 | + | 0.870543i | \(0.663767\pi\) | |||||||
\(860\) | 4.33848 | + | 9.95559i | 0.147941 | + | 0.339483i | ||||
\(861\) | −23.8421 | − | 7.23242i | −0.812536 | − | 0.246480i | ||||
\(862\) | −26.0714 | − | 47.7224i | −0.887996 | − | 1.62543i | ||||
\(863\) | −15.8494 | + | 15.8494i | −0.539521 | + | 0.539521i | −0.923388 | − | 0.383867i | \(-0.874592\pi\) |
0.383867 | + | 0.923388i | \(0.374592\pi\) | |||||||
\(864\) | −2.40115 | − | 5.12196i | −0.0816889 | − | 0.174253i | ||||
\(865\) | 6.74290 | + | 6.74290i | 0.229266 | + | 0.229266i | ||||
\(866\) | −8.28735 | + | 28.2461i | −0.281616 | + | 0.959840i | ||||
\(867\) | 4.51404 | − | 14.8808i | 0.153305 | − | 0.505378i | ||||
\(868\) | 32.5910 | − | 0.595507i | 1.10621 | − | 0.0202128i | ||||
\(869\) | 0.914219 | − | 9.28222i | 0.0310127 | − | 0.314878i | ||||
\(870\) | 4.28852 | − | 6.54690i | 0.145394 | − | 0.221961i | ||||
\(871\) | −4.39871 | + | 22.1138i | −0.149044 | + | 0.749297i | ||||
\(872\) | −23.6214 | − | 52.8802i | −0.799923 | − | 1.79075i | ||||
\(873\) | −0.506870 | + | 0.100823i | −0.0171550 | + | 0.00341233i | ||||
\(874\) | −6.02327 | − | 14.1738i | −0.203740 | − | 0.479437i | ||||
\(875\) | 13.2751 | − | 24.8360i | 0.448781 | − | 0.839610i | ||||
\(876\) | −1.38740 | + | 0.162289i | −0.0468757 | + | 0.00548325i | ||||
\(877\) | 1.86207 | + | 18.9060i | 0.0628778 | + | 0.638409i | 0.974042 | + | 0.226366i | \(0.0726846\pi\) |
−0.911164 | + | 0.412043i | \(0.864815\pi\) | |||||||
\(878\) | −38.9194 | − | 20.3480i | −1.31347 | − | 0.686710i | ||||
\(879\) | −11.7109 | + | 4.85083i | −0.395000 | + | 0.163614i | ||||
\(880\) | −2.19150 | − | 0.353234i | −0.0738753 | − | 0.0119075i | ||||
\(881\) | −6.64702 | − | 2.75329i | −0.223944 | − | 0.0927606i | 0.267891 | − | 0.963449i | \(-0.413673\pi\) |
−0.491834 | + | 0.870689i | \(0.663673\pi\) | |||||||
\(882\) | 12.3573 | + | 14.7800i | 0.416091 | + | 0.497667i | ||||
\(883\) | −16.3297 | − | 13.4014i | −0.549537 | − | 0.450994i | 0.318195 | − | 0.948025i | \(-0.396923\pi\) |
−0.867732 | + | 0.497032i | \(0.834423\pi\) | |||||||
\(884\) | −12.9689 | − | 1.03849i | −0.436192 | − | 0.0349281i | ||||
\(885\) | 0.299491 | − | 0.0908497i | 0.0100673 | − | 0.00305388i | ||||
\(886\) | −5.16897 | + | 5.26428i | −0.173655 | + | 0.176857i | ||||
\(887\) | −26.8921 | + | 40.2469i | −0.902948 | + | 1.35136i | 0.0330880 | + | 0.999452i | \(0.489466\pi\) |
−0.936036 | + | 0.351905i | \(0.885534\pi\) | |||||||
\(888\) | 3.74566 | − | 3.24977i | 0.125696 | − | 0.109055i | ||||
\(889\) | 4.25440 | − | 2.84270i | 0.142688 | − | 0.0953410i | ||||
\(890\) | 6.88168 | + | 10.0982i | 0.230675 | + | 0.338494i | ||||
\(891\) | 0.543930 | + | 0.662781i | 0.0182223 | + | 0.0222040i | ||||
\(892\) | −21.1367 | + | 32.9197i | −0.707708 | + | 1.10223i | ||||
\(893\) | 0.219665 | − | 0.117414i | 0.00735082 | − | 0.00392910i | ||||
\(894\) | −1.86572 | − | 17.3195i | −0.0623989 | − | 0.579250i | ||||
\(895\) | −4.81756 | −0.161033 | ||||||||
\(896\) | −11.7420 | + | 50.0182i | −0.392272 | + | 1.67099i | ||||
\(897\) | 28.2625 | 0.943656 | ||||||||
\(898\) | −3.32921 | − | 30.9051i | −0.111097 | − | 1.03132i | ||||
\(899\) | 27.0634 | − | 14.4657i | 0.902615 | − | 0.482458i | ||||
\(900\) | −7.70978 | − | 4.95020i | −0.256993 | − | 0.165007i | ||||
\(901\) | −8.08277 | − | 9.84888i | −0.269276 | − | 0.328114i | ||||
\(902\) | 3.74633 | + | 5.49739i | 0.124739 | + | 0.183043i | ||||
\(903\) | −31.6771 | + | 21.1660i | −1.05415 | + | 0.704359i | ||||
\(904\) | 57.9452 | + | 4.10762i | 1.92723 | + | 0.136617i | ||||
\(905\) | 6.22149 | − | 9.31111i | 0.206809 | − | 0.309512i | ||||
\(906\) | −7.44679 | + | 7.58410i | −0.247403 | + | 0.251965i | ||||
\(907\) | −2.11978 | + | 0.643027i | −0.0703860 | + | 0.0213514i | −0.325281 | − | 0.945617i | \(-0.605459\pi\) |
0.254895 | + | 0.966969i | \(0.417959\pi\) | |||||||
\(908\) | −3.15457 | + | 39.3951i | −0.104688 | + | 1.30737i | ||||
\(909\) | 9.94696 | + | 8.16326i | 0.329920 | + | 0.270758i | ||||
\(910\) | 14.4058 | + | 17.2301i | 0.477547 | + | 0.571172i | ||||
\(911\) | 43.8871 | + | 18.1787i | 1.45405 | + | 0.602286i | 0.963158 | − | 0.268937i | \(-0.0866724\pi\) |
0.490888 | + | 0.871223i | \(0.336672\pi\) | |||||||
\(912\) | −7.08835 | − | 4.37041i | −0.234719 | − | 0.144719i | ||||
\(913\) | 3.38758 | − | 1.40318i | 0.112113 | − | 0.0464386i | ||||
\(914\) | −26.2555 | − | 13.7270i | −0.868455 | − | 0.454048i | ||||
\(915\) | −0.418738 | − | 4.25152i | −0.0138431 | − | 0.140551i | ||||
\(916\) | −3.71280 | − | 31.7404i | −0.122674 | − | 1.04873i | ||||
\(917\) | 19.0169 | − | 35.5782i | 0.627994 | − | 1.17489i | ||||
\(918\) | −0.665941 | − | 1.56708i | −0.0219793 | − | 0.0517213i | ||||
\(919\) | −54.4059 | + | 10.8220i | −1.79469 | + | 0.356985i | −0.976087 | − | 0.217379i | \(-0.930249\pi\) |
−0.818599 | + | 0.574365i | \(0.805249\pi\) | |||||||
\(920\) | −8.94417 | − | 3.42078i | −0.294880 | − | 0.112780i | ||||
\(921\) | −0.0310899 | + | 0.156300i | −0.00102445 | + | 0.00515025i | ||||
\(922\) | −22.3743 | + | 34.1569i | −0.736859 | + | 1.12490i | ||||
\(923\) | 5.12716 | − | 52.0569i | 0.168762 | − | 1.71347i | ||||
\(924\) | −0.142267 | − | 7.78598i | −0.00468022 | − | 0.256140i | ||||
\(925\) | 2.33149 | − | 7.68591i | 0.0766591 | − | 0.252711i | ||||
\(926\) | −8.88152 | + | 30.2712i | −0.291865 | + | 0.994774i | ||||
\(927\) | −11.5852 | − | 11.5852i | −0.380509 | − | 0.380509i | ||||
\(928\) | 11.5923 | + | 46.9584i | 0.380537 | + | 1.54148i | ||||
\(929\) | −17.4872 | + | 17.4872i | −0.573735 | + | 0.573735i | −0.933170 | − | 0.359435i | \(-0.882969\pi\) |
0.359435 | + | 0.933170i | \(0.382969\pi\) | |||||||
\(930\) | 1.57499 | + | 2.88294i | 0.0516459 | + | 0.0945352i | ||||
\(931\) | 27.1389 | + | 8.23250i | 0.889442 | + | 0.269809i | ||||
\(932\) | 1.53396 | − | 0.668476i | 0.0502466 | − | 0.0218966i | ||||
\(933\) | 1.19147 | + | 0.117350i | 0.0390070 | + | 0.00384186i | ||||
\(934\) | −50.8702 | + | 10.6027i | −1.66452 | + | 0.346930i | ||||
\(935\) | −0.655314 | − | 0.130350i | −0.0214311 | − | 0.00426290i | ||||
\(936\) | 12.4691 | − | 8.83524i | 0.407566 | − | 0.288789i | ||||
\(937\) | 4.51589 | + | 22.7029i | 0.147528 | + | 0.741672i | 0.981740 | + | 0.190228i | \(0.0609228\pi\) |
−0.834212 | + | 0.551444i | \(0.814077\pi\) | |||||||
\(938\) | 24.8529 | + | 10.0294i | 0.811475 | + | 0.327472i | ||||
\(939\) | 0.184142 | + | 0.0984260i | 0.00600925 | + | 0.00321201i | ||||
\(940\) | 0.0422425 | − | 0.149002i | 0.00137780 | − | 0.00485991i | ||||
\(941\) | −14.2516 | + | 1.40366i | −0.464589 | + | 0.0457580i | −0.327604 | − | 0.944815i | \(-0.606241\pi\) |
−0.136985 | + | 0.990573i | \(0.543741\pi\) | |||||||
\(942\) | 8.34586 | + | 26.6343i | 0.271923 | + | 0.867792i | ||||
\(943\) | 10.9825 | + | 26.5141i | 0.357640 | + | 0.863418i | ||||
\(944\) | −0.848835 | + | 1.73795i | −0.0276272 | + | 0.0565655i | ||||
\(945\) | −1.12480 | + | 2.71552i | −0.0365899 | + | 0.0883358i | ||||
\(946\) | 10.1322 | + | 0.904559i | 0.329426 | + | 0.0294098i | ||||
\(947\) | 16.1174 | − | 19.6392i | 0.523747 | − | 0.638187i | −0.442204 | − | 0.896915i | \(-0.645803\pi\) |
0.965950 | + | 0.258728i | \(0.0833032\pi\) | |||||||
\(948\) | −6.69495 | − | 20.7010i | −0.217442 | − | 0.672338i | ||||
\(949\) | −1.09542 | − | 3.61112i | −0.0355589 | − | 0.117222i | ||||
\(950\) | −13.4869 | + | 0.123207i | −0.437574 | + | 0.00399737i | ||||
\(951\) | −9.69416 | − | 6.47743i | −0.314355 | − | 0.210045i | ||||
\(952\) | −4.08197 | + | 14.9163i | −0.132297 | + | 0.483439i | ||||
\(953\) | −20.9883 | − | 31.4112i | −0.679877 | − | 1.01751i | −0.997594 | − | 0.0693223i | \(-0.977916\pi\) |
0.317717 | − | 0.948185i | \(-0.397084\pi\) | |||||||
\(954\) | 14.7040 | + | 2.78542i | 0.476060 | + | 0.0901813i | ||||
\(955\) | −1.30656 | + | 1.07226i | −0.0422792 | + | 0.0346977i | ||||
\(956\) | 23.3256 | − | 16.2098i | 0.754403 | − | 0.524261i | ||||
\(957\) | −3.45585 | − | 6.46545i | −0.111712 | − | 0.208998i | ||||
\(958\) | 22.6437 | − | 28.1112i | 0.731584 | − | 0.908231i | ||||
\(959\) | − | 32.7710i | − | 1.05823i | ||||||
\(960\) | −5.01547 | + | 1.28686i | −0.161873 | + | 0.0415331i | ||||
\(961\) | − | 18.1194i | − | 0.584496i | ||||||
\(962\) | 10.4329 | + | 8.40374i | 0.336370 | + | 0.270947i | ||||
\(963\) | −4.61675 | − | 8.63732i | −0.148773 | − | 0.278334i | ||||
\(964\) | 26.4860 | + | 4.76711i | 0.853057 | + | 0.153538i | ||||
\(965\) | 4.76240 | − | 3.90840i | 0.153307 | − | 0.125816i | ||||
\(966\) | 6.25258 | − | 33.0069i | 0.201174 | − | 1.06198i | ||||
\(967\) | 17.6272 | + | 26.3810i | 0.566853 | + | 0.848356i | 0.998559 | − | 0.0536582i | \(-0.0170882\pi\) |
−0.431706 | + | 0.902014i | \(0.642088\pi\) | |||||||
\(968\) | 17.7967 | − | 22.9394i | 0.572008 | − | 0.737300i | ||||
\(969\) | −2.08411 | − | 1.39256i | −0.0669512 | − | 0.0447353i | ||||
\(970\) | 0.00432124 | + | 0.473026i | 0.000138747 | + | 0.0151880i | ||||
\(971\) | −0.589364 | − | 1.94287i | −0.0189136 | − | 0.0623498i | 0.946976 | − | 0.321305i | \(-0.104122\pi\) |
−0.965889 | + | 0.258956i | \(0.916622\pi\) | |||||||
\(972\) | 1.78077 | + | 0.910412i | 0.0571183 | + | 0.0292015i | ||||
\(973\) | −48.4438 | + | 59.0290i | −1.55304 | + | 1.89238i | ||||
\(974\) | −4.23034 | + | 47.3851i | −0.135549 | + | 1.51832i | ||||
\(975\) | 9.47205 | − | 22.8675i | 0.303348 | − | 0.732347i | ||||
\(976\) | 21.0072 | + | 15.9924i | 0.672424 | + | 0.511905i | ||||
\(977\) | 3.75748 | + | 9.07137i | 0.120213 | + | 0.290219i | 0.972519 | − | 0.232824i | \(-0.0747967\pi\) |
−0.852306 | + | 0.523043i | \(0.824797\pi\) | |||||||
\(978\) | 7.10352 | − | 2.22589i | 0.227146 | − | 0.0711761i | ||||
\(979\) | 11.3916 | − | 1.12197i | 0.364076 | − | 0.0358584i | ||||
\(980\) | 15.3975 | − | 8.59542i | 0.491855 | − | 0.274571i | ||||
\(981\) | 18.0586 | + | 9.65254i | 0.576567 | + | 0.308182i | ||||
\(982\) | −17.8365 | + | 44.1988i | −0.569185 | + | 1.41044i | ||||
\(983\) | 0.152865 | + | 0.768504i | 0.00487563 | + | 0.0245115i | 0.983147 | − | 0.182819i | \(-0.0585223\pi\) |
−0.978271 | + | 0.207331i | \(0.933522\pi\) | |||||||
\(984\) | 13.1341 | + | 8.26449i | 0.418699 | + | 0.263462i | ||||
\(985\) | −16.8764 | − | 3.35692i | −0.537725 | − | 0.106960i | ||||
\(986\) | 2.97059 | + | 14.2525i | 0.0946029 | + | 0.453891i | ||||
\(987\) | 0.540703 | + | 0.0532546i | 0.0172108 | + | 0.00169511i | ||||
\(988\) | 8.22789 | − | 20.9378i | 0.261764 | − | 0.666122i | ||||
\(989\) | 41.9939 | + | 12.7387i | 1.33533 | + | 0.405067i | ||||
\(990\) | 0.688733 | − | 0.376265i | 0.0218894 | − | 0.0119585i | ||||
\(991\) | −7.09080 | + | 7.09080i | −0.225247 | + | 0.225247i | −0.810704 | − | 0.585457i | \(-0.800915\pi\) |
0.585457 | + | 0.810704i | \(0.300915\pi\) | |||||||
\(992\) | −19.6768 | − | 5.00021i | −0.624740 | − | 0.158757i | ||||
\(993\) | 14.2489 | + | 14.2489i | 0.452176 | + | 0.452176i | ||||
\(994\) | −59.6614 | − | 17.5046i | −1.89234 | − | 0.555211i | ||||
\(995\) | −3.79362 | + | 12.5059i | −0.120266 | + | 0.396463i | ||||
\(996\) | 5.93641 | − | 6.15739i | 0.188102 | − | 0.195104i | ||||
\(997\) | 0.753249 | − | 7.64786i | 0.0238556 | − | 0.242210i | −0.975861 | − | 0.218394i | \(-0.929918\pi\) |
0.999716 | − | 0.0238164i | \(-0.00758172\pi\) | |||||||
\(998\) | 21.0352 | + | 13.7790i | 0.665856 | + | 0.436166i | ||||
\(999\) | −0.342041 | + | 1.71956i | −0.0108217 | + | 0.0544043i |
(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 | 384.2.v.a.229.1 | yes | 512 | |
128.109 | even | 32 | inner | 384.2.v.a.109.1 | ✓ | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.v.a.109.1 | ✓ | 512 | 128.109 | even | 32 | inner | |
384.2.v.a.229.1 | yes | 512 | 1.1 | even | 1 | trivial |