Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(20,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.be (of order \(18\), degree \(6\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 20.3 | ||
Character | \(\chi\) | \(=\) | 189.20 |
Dual form | 189.2.be.a.104.3 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.752422 | − | 2.06726i | −0.532042 | − | 1.46177i | −0.856636 | − | 0.515921i | \(-0.827450\pi\) |
0.324594 | − | 0.945854i | \(-0.394772\pi\) | |||||||
\(3\) | −1.63905 | − | 0.559928i | −0.946305 | − | 0.323274i | ||||
\(4\) | −2.17534 | + | 1.82533i | −1.08767 | + | 0.912664i | ||||
\(5\) | 0.562637 | + | 3.19087i | 0.251619 | + | 1.42700i | 0.804605 | + | 0.593810i | \(0.202377\pi\) |
−0.552986 | + | 0.833190i | \(0.686512\pi\) | |||||||
\(6\) | 0.0757386 | + | 3.80964i | 0.0309202 | + | 1.55528i | ||||
\(7\) | 1.24057 | + | 2.33688i | 0.468890 | + | 0.883257i | ||||
\(8\) | 1.59981 | + | 0.923650i | 0.565618 | + | 0.326560i | ||||
\(9\) | 2.37296 | + | 1.83550i | 0.790987 | + | 0.611833i | ||||
\(10\) | 6.17302 | − | 3.56400i | 1.95208 | − | 1.12703i | ||||
\(11\) | −3.18028 | − | 0.560770i | −0.958891 | − | 0.169078i | −0.327766 | − | 0.944759i | \(-0.606296\pi\) |
−0.631126 | + | 0.775681i | \(0.717407\pi\) | |||||||
\(12\) | 4.58754 | − | 1.77377i | 1.32431 | − | 0.512043i | ||||
\(13\) | −1.22706 | + | 3.37132i | −0.340325 | + | 0.935036i | 0.644975 | + | 0.764204i | \(0.276868\pi\) |
−0.985300 | + | 0.170832i | \(0.945354\pi\) | |||||||
\(14\) | 3.89751 | − | 4.32289i | 1.04165 | − | 1.15534i | ||||
\(15\) | 0.864468 | − | 5.54503i | 0.223205 | − | 1.43172i | ||||
\(16\) | −0.280525 | + | 1.59093i | −0.0701312 | + | 0.397734i | ||||
\(17\) | −1.49145 | − | 2.58328i | −0.361731 | − | 0.626536i | 0.626515 | − | 0.779409i | \(-0.284481\pi\) |
−0.988246 | + | 0.152873i | \(0.951147\pi\) | |||||||
\(18\) | 2.00899 | − | 6.28660i | 0.473523 | − | 1.48177i | ||||
\(19\) | 3.49827 | + | 2.01973i | 0.802559 | + | 0.463358i | 0.844365 | − | 0.535768i | \(-0.179978\pi\) |
−0.0418061 | + | 0.999126i | \(0.513311\pi\) | |||||||
\(20\) | −7.04831 | − | 5.91424i | −1.57605 | − | 1.32246i | ||||
\(21\) | −0.724867 | − | 4.52488i | −0.158179 | − | 0.987410i | ||||
\(22\) | 1.23366 | + | 6.99641i | 0.263016 | + | 1.49164i | ||||
\(23\) | −0.441437 | − | 0.526084i | −0.0920460 | − | 0.109696i | 0.718055 | − | 0.695986i | \(-0.245032\pi\) |
−0.810101 | + | 0.586290i | \(0.800588\pi\) | |||||||
\(24\) | −2.10499 | − | 2.40968i | −0.429679 | − | 0.491875i | ||||
\(25\) | −5.16663 | + | 1.88050i | −1.03333 | + | 0.376100i | ||||
\(26\) | 7.89267 | 1.54788 | ||||||||
\(27\) | −2.86165 | − | 4.33716i | −0.550726 | − | 0.834686i | ||||
\(28\) | −6.96423 | − | 2.81906i | −1.31611 | − | 0.532753i | ||||
\(29\) | 3.33174 | + | 9.15387i | 0.618688 | + | 1.69983i | 0.710176 | + | 0.704024i | \(0.248615\pi\) |
−0.0914880 | + | 0.995806i | \(0.529162\pi\) | |||||||
\(30\) | −12.1135 | + | 2.38512i | −2.21161 | + | 0.435461i | ||||
\(31\) | 0.311578 | + | 0.371325i | 0.0559611 | + | 0.0666919i | 0.793299 | − | 0.608832i | \(-0.208362\pi\) |
−0.737338 | + | 0.675524i | \(0.763917\pi\) | |||||||
\(32\) | 7.13842 | − | 1.25870i | 1.26191 | − | 0.222508i | ||||
\(33\) | 4.89865 | + | 2.69986i | 0.852745 | + | 0.469985i | ||||
\(34\) | −4.21810 | + | 5.02694i | −0.723399 | + | 0.862113i | ||||
\(35\) | −6.75868 | + | 5.27330i | −1.14243 | + | 0.891350i | ||||
\(36\) | −8.51239 | + | 0.338599i | −1.41873 | + | 0.0564332i | ||||
\(37\) | 2.82040 | + | 4.88507i | 0.463671 | + | 0.803101i | 0.999140 | − | 0.0414533i | \(-0.0131988\pi\) |
−0.535470 | + | 0.844554i | \(0.679865\pi\) | |||||||
\(38\) | 1.54313 | − | 8.75153i | 0.250329 | − | 1.41969i | ||||
\(39\) | 3.89891 | − | 4.83869i | 0.624325 | − | 0.774811i | ||||
\(40\) | −2.04714 | + | 5.62446i | −0.323681 | + | 0.889306i | ||||
\(41\) | −1.84441 | − | 0.671309i | −0.288048 | − | 0.104841i | 0.193955 | − | 0.981010i | \(-0.437868\pi\) |
−0.482003 | + | 0.876170i | \(0.660091\pi\) | |||||||
\(42\) | −8.80871 | + | 4.90311i | −1.35921 | + | 0.756566i | ||||
\(43\) | 1.32012 | − | 7.48676i | 0.201316 | − | 1.14172i | −0.701816 | − | 0.712358i | \(-0.747627\pi\) |
0.903132 | − | 0.429362i | \(-0.141262\pi\) | |||||||
\(44\) | 7.94179 | − | 4.58519i | 1.19727 | − | 0.691244i | ||||
\(45\) | −4.52172 | + | 8.60453i | −0.674058 | + | 1.28269i | ||||
\(46\) | −0.755407 | + | 1.30840i | −0.111379 | + | 0.192914i | ||||
\(47\) | −6.71691 | − | 5.63616i | −0.979762 | − | 0.822118i | 0.00429160 | − | 0.999991i | \(-0.498634\pi\) |
−0.984053 | + | 0.177873i | \(0.943078\pi\) | |||||||
\(48\) | 1.35060 | − | 2.45055i | 0.194943 | − | 0.353706i | ||||
\(49\) | −3.92199 | + | 5.79810i | −0.560284 | + | 0.828300i | ||||
\(50\) | 7.77497 | + | 9.26585i | 1.09955 | + | 1.31039i | ||||
\(51\) | 0.998119 | + | 5.06922i | 0.139765 | + | 0.709833i | ||||
\(52\) | −3.48449 | − | 9.57356i | −0.483212 | − | 1.32761i | ||||
\(53\) | 3.11853i | 0.428363i | 0.976794 | + | 0.214181i | \(0.0687084\pi\) | ||||
−0.976794 | + | 0.214181i | \(0.931292\pi\) | |||||||
\(54\) | −6.81287 | + | 9.17916i | −0.927114 | + | 1.24913i | ||||
\(55\) | − | 10.4634i | − | 1.41088i | ||||||
\(56\) | −0.173787 | + | 4.88441i | −0.0232233 | + | 0.652706i | ||||
\(57\) | −4.60294 | − | 5.26922i | −0.609674 | − | 0.697925i | ||||
\(58\) | 16.4166 | − | 13.7751i | 2.15560 | − | 1.80876i | ||||
\(59\) | 1.95711 | + | 11.0993i | 0.254793 | + | 1.44501i | 0.796602 | + | 0.604504i | \(0.206628\pi\) |
−0.541809 | + | 0.840502i | \(0.682260\pi\) | |||||||
\(60\) | 8.24099 | + | 13.6403i | 1.06391 | + | 1.76095i | ||||
\(61\) | 3.09075 | − | 3.68341i | 0.395730 | − | 0.471613i | −0.530983 | − | 0.847383i | \(-0.678177\pi\) |
0.926713 | + | 0.375770i | \(0.122622\pi\) | |||||||
\(62\) | 0.533187 | − | 0.923507i | 0.0677148 | − | 0.117285i | ||||
\(63\) | −1.34552 | + | 7.82238i | −0.169519 | + | 0.985527i | ||||
\(64\) | −6.35768 | − | 11.0118i | −0.794710 | − | 1.37648i | ||||
\(65\) | −11.4478 | − | 2.01856i | −1.41993 | − | 0.250372i | ||||
\(66\) | 1.89546 | − | 12.1582i | 0.233315 | − | 1.49657i | ||||
\(67\) | −8.93479 | − | 3.25200i | −1.09156 | − | 0.397295i | −0.267360 | − | 0.963597i | \(-0.586151\pi\) |
−0.824198 | + | 0.566302i | \(0.808374\pi\) | |||||||
\(68\) | 7.95975 | + | 2.89711i | 0.965262 | + | 0.351327i | ||||
\(69\) | 0.428968 | + | 1.10945i | 0.0516417 | + | 0.133562i | ||||
\(70\) | 15.9867 | + | 10.0042i | 1.91077 | + | 1.19573i | ||||
\(71\) | −2.67528 | + | 1.54458i | −0.317498 | + | 0.183307i | −0.650277 | − | 0.759697i | \(-0.725347\pi\) |
0.332779 | + | 0.943005i | \(0.392014\pi\) | |||||||
\(72\) | 2.10093 | + | 5.12823i | 0.247597 | + | 0.604368i | ||||
\(73\) | −9.91831 | − | 5.72634i | −1.16085 | − | 0.670217i | −0.209342 | − | 0.977842i | \(-0.567132\pi\) |
−0.951508 | + | 0.307625i | \(0.900466\pi\) | |||||||
\(74\) | 7.97659 | − | 9.50613i | 0.927260 | − | 1.10507i | ||||
\(75\) | 9.52131 | − | 0.189291i | 1.09943 | − | 0.0218574i | ||||
\(76\) | −11.2966 | + | 1.99190i | −1.29581 | + | 0.228486i | ||||
\(77\) | −2.63490 | − | 8.12760i | −0.300275 | − | 0.926226i | ||||
\(78\) | −12.9365 | − | 4.41932i | −1.46477 | − | 0.500390i | ||||
\(79\) | 6.20601 | − | 2.25880i | 0.698231 | − | 0.254135i | 0.0315757 | − | 0.999501i | \(-0.489947\pi\) |
0.666655 | + | 0.745366i | \(0.267725\pi\) | |||||||
\(80\) | −5.23430 | −0.585212 | ||||||||
\(81\) | 2.26189 | + | 8.71113i | 0.251322 | + | 0.967904i | ||||
\(82\) | 4.31797i | 0.476841i | ||||||||
\(83\) | 16.4935 | − | 6.00315i | 1.81040 | − | 0.658932i | 0.813385 | − | 0.581726i | \(-0.197622\pi\) |
0.997015 | − | 0.0772059i | \(-0.0245999\pi\) | |||||||
\(84\) | 9.83623 | + | 8.52005i | 1.07322 | + | 0.929613i | ||||
\(85\) | 7.40375 | − | 6.21249i | 0.803050 | − | 0.673839i | ||||
\(86\) | −16.4704 | + | 2.90417i | −1.77605 | + | 0.313165i | ||||
\(87\) | −0.335372 | − | 16.8692i | −0.0359556 | − | 1.80856i | ||||
\(88\) | −4.56989 | − | 3.83459i | −0.487152 | − | 0.408769i | ||||
\(89\) | 3.48296 | − | 6.03267i | 0.369193 | − | 0.639462i | −0.620246 | − | 0.784407i | \(-0.712967\pi\) |
0.989440 | + | 0.144945i | \(0.0463006\pi\) | |||||||
\(90\) | 21.1901 | + | 2.87334i | 2.23363 | + | 0.302877i | ||||
\(91\) | −9.40061 | + | 1.31486i | −0.985452 | + | 0.137835i | ||||
\(92\) | 1.92055 | + | 0.338646i | 0.200232 | + | 0.0353062i | ||||
\(93\) | −0.302777 | − | 0.783081i | −0.0313965 | − | 0.0812017i | ||||
\(94\) | −6.59746 | + | 18.1264i | −0.680476 | + | 1.86959i | ||||
\(95\) | −4.47644 | + | 12.2989i | −0.459273 | + | 1.26184i | ||||
\(96\) | −12.4050 | − | 1.93394i | −1.26608 | − | 0.197381i | ||||
\(97\) | 2.47809 | + | 0.436955i | 0.251612 | + | 0.0443660i | 0.298032 | − | 0.954556i | \(-0.403670\pi\) |
−0.0464193 | + | 0.998922i | \(0.514781\pi\) | |||||||
\(98\) | 14.9372 | + | 3.74516i | 1.50888 | + | 0.378318i | ||||
\(99\) | −6.51740 | − | 7.16809i | −0.655023 | − | 0.720420i | ||||
\(100\) | 7.80666 | − | 13.5215i | 0.780666 | − | 1.35215i | ||||
\(101\) | 8.81458 | + | 7.39631i | 0.877083 | + | 0.735960i | 0.965577 | − | 0.260117i | \(-0.0837610\pi\) |
−0.0884942 | + | 0.996077i | \(0.528205\pi\) | |||||||
\(102\) | 9.72840 | − | 5.87757i | 0.963255 | − | 0.581966i | ||||
\(103\) | 17.5678 | − | 3.09768i | 1.73101 | − | 0.305223i | 0.782658 | − | 0.622452i | \(-0.213863\pi\) |
0.948349 | + | 0.317229i | \(0.102752\pi\) | |||||||
\(104\) | −5.07698 | + | 4.26009i | −0.497839 | + | 0.417737i | ||||
\(105\) | 14.0305 | − | 4.85882i | 1.36923 | − | 0.474172i | ||||
\(106\) | 6.44681 | − | 2.34645i | 0.626170 | − | 0.227907i | ||||
\(107\) | 2.99079i | 0.289131i | 0.989495 | + | 0.144565i | \(0.0461784\pi\) | ||||
−0.989495 | + | 0.144565i | \(0.953822\pi\) | |||||||
\(108\) | 14.1418 | + | 4.21134i | 1.36080 | + | 0.405237i | ||||
\(109\) | 2.85397 | 0.273361 | 0.136681 | − | 0.990615i | \(-0.456357\pi\) | ||||
0.136681 | + | 0.990615i | \(0.456357\pi\) | |||||||
\(110\) | −21.6305 | + | 7.87287i | −2.06239 | + | 0.750649i | ||||
\(111\) | −1.88748 | − | 9.58609i | −0.179152 | − | 0.909872i | ||||
\(112\) | −4.06583 | + | 1.31811i | −0.384185 | + | 0.124550i | ||||
\(113\) | 3.48822 | − | 0.615067i | 0.328144 | − | 0.0578607i | −0.00714917 | − | 0.999974i | \(-0.502276\pi\) |
0.335293 | + | 0.942114i | \(0.391165\pi\) | |||||||
\(114\) | −7.42949 | + | 13.4801i | −0.695836 | + | 1.26253i | ||||
\(115\) | 1.43030 | − | 1.70456i | 0.133376 | − | 0.158951i | ||||
\(116\) | −23.9565 | − | 13.8313i | −2.22430 | − | 1.28420i | ||||
\(117\) | −9.09982 | + | 5.74775i | −0.841279 | + | 0.531379i | ||||
\(118\) | 21.4726 | − | 12.3972i | 1.97671 | − | 1.14125i | ||||
\(119\) | 4.18655 | − | 6.69007i | 0.383780 | − | 0.613278i | ||||
\(120\) | 6.50465 | − | 8.07252i | 0.593791 | − | 0.736917i | ||||
\(121\) | −0.536887 | − | 0.195411i | −0.0488080 | − | 0.0177646i | ||||
\(122\) | −9.94013 | − | 3.61791i | −0.899937 | − | 0.327550i | ||||
\(123\) | 2.64719 | + | 2.13304i | 0.238689 | + | 0.192330i | ||||
\(124\) | −1.35558 | − | 0.239025i | −0.121735 | − | 0.0214651i | ||||
\(125\) | −0.807133 | − | 1.39800i | −0.0721922 | − | 0.125041i | ||||
\(126\) | 17.1833 | − | 3.10419i | 1.53081 | − | 0.276543i | ||||
\(127\) | −7.37491 | + | 12.7737i | −0.654418 | + | 1.13348i | 0.327622 | + | 0.944809i | \(0.393753\pi\) |
−0.982039 | + | 0.188676i | \(0.939580\pi\) | |||||||
\(128\) | −8.66211 | + | 10.3231i | −0.765630 | + | 0.912442i | ||||
\(129\) | −6.35578 | + | 11.5320i | −0.559595 | + | 1.01534i | ||||
\(130\) | 4.44070 | + | 25.1845i | 0.389475 | + | 2.20883i | ||||
\(131\) | −6.97748 | + | 5.85480i | −0.609625 | + | 0.511536i | −0.894523 | − | 0.447021i | \(-0.852485\pi\) |
0.284898 | + | 0.958558i | \(0.408040\pi\) | |||||||
\(132\) | −15.5844 | + | 3.06853i | −1.35644 | + | 0.267081i | ||||
\(133\) | −0.380017 | + | 10.6806i | −0.0329517 | + | 0.926129i | ||||
\(134\) | 20.9174i | 1.80699i | ||||||||
\(135\) | 12.2292 | − | 11.5714i | 1.05253 | − | 0.995908i | ||||
\(136\) | − | 5.51033i | − | 0.472507i | ||||||
\(137\) | −3.43127 | − | 9.42733i | −0.293153 | − | 0.805431i | −0.995601 | − | 0.0936959i | \(-0.970132\pi\) |
0.702448 | − | 0.711735i | \(-0.252090\pi\) | |||||||
\(138\) | 1.97076 | − | 1.72156i | 0.167762 | − | 0.146549i | ||||
\(139\) | −2.61949 | − | 3.12178i | −0.222182 | − | 0.264786i | 0.643426 | − | 0.765508i | \(-0.277512\pi\) |
−0.865608 | + | 0.500722i | \(0.833068\pi\) | |||||||
\(140\) | 5.07694 | − | 23.8081i | 0.429080 | − | 2.01215i | ||||
\(141\) | 7.85350 | + | 12.9989i | 0.661384 | + | 1.09471i | ||||
\(142\) | 5.20598 | + | 4.36834i | 0.436876 | + | 0.366583i | ||||
\(143\) | 5.79293 | − | 10.0337i | 0.484429 | − | 0.839056i | ||||
\(144\) | −3.58583 | + | 3.26032i | −0.298819 | + | 0.271694i | ||||
\(145\) | −27.3343 | + | 15.7814i | −2.26999 | + | 1.31058i | ||||
\(146\) | −4.37509 | + | 24.8123i | −0.362085 | + | 2.05348i | ||||
\(147\) | 9.67485 | − | 7.30734i | 0.797968 | − | 0.602700i | ||||
\(148\) | −15.0522 | − | 5.47855i | −1.23728 | − | 0.450334i | ||||
\(149\) | 3.33221 | − | 9.15518i | 0.272985 | − | 0.750021i | −0.725127 | − | 0.688615i | \(-0.758219\pi\) |
0.998113 | − | 0.0614066i | \(-0.0195586\pi\) | |||||||
\(150\) | −7.55535 | − | 19.5406i | −0.616892 | − | 1.59548i | ||||
\(151\) | 3.65868 | − | 20.7494i | 0.297739 | − | 1.68856i | −0.358116 | − | 0.933677i | \(-0.616581\pi\) |
0.655855 | − | 0.754887i | \(-0.272308\pi\) | |||||||
\(152\) | 3.73105 | + | 6.46236i | 0.302628 | + | 0.524167i | ||||
\(153\) | 1.20243 | − | 8.86758i | 0.0972108 | − | 0.716901i | ||||
\(154\) | −14.8193 | + | 11.5624i | −1.19417 | + | 0.931726i | ||||
\(155\) | −1.00954 | + | 1.20313i | −0.0810885 | + | 0.0966375i | ||||
\(156\) | 0.350748 | + | 17.6426i | 0.0280823 | + | 1.41254i | ||||
\(157\) | 10.0273 | − | 1.76809i | 0.800269 | − | 0.141109i | 0.241466 | − | 0.970409i | \(-0.422372\pi\) |
0.558803 | + | 0.829300i | \(0.311261\pi\) | |||||||
\(158\) | −9.33908 | − | 11.1299i | −0.742977 | − | 0.885446i | ||||
\(159\) | 1.74615 | − | 5.11142i | 0.138479 | − | 0.405362i | ||||
\(160\) | 8.03267 | + | 22.0696i | 0.635039 | + | 1.74475i | ||||
\(161\) | 0.681762 | − | 1.68423i | 0.0537304 | − | 0.132736i | ||||
\(162\) | 16.3063 | − | 11.2304i | 1.28114 | − | 0.882341i | ||||
\(163\) | −10.1031 | −0.791340 | −0.395670 | − | 0.918393i | \(-0.629488\pi\) | ||||
−0.395670 | + | 0.918393i | \(0.629488\pi\) | |||||||
\(164\) | 5.23757 | − | 1.90632i | 0.408986 | − | 0.148859i | ||||
\(165\) | −5.85874 | + | 17.1500i | −0.456102 | + | 1.33512i | ||||
\(166\) | −24.8202 | − | 29.5795i | −1.92642 | − | 2.29582i | ||||
\(167\) | 2.21093 | + | 12.5388i | 0.171087 | + | 0.970284i | 0.942564 | + | 0.334026i | \(0.108407\pi\) |
−0.771477 | + | 0.636258i | \(0.780482\pi\) | |||||||
\(168\) | 3.01976 | − | 7.90847i | 0.232980 | − | 0.610152i | ||||
\(169\) | 0.0984525 | + | 0.0826114i | 0.00757327 | + | 0.00635473i | ||||
\(170\) | −18.4136 | − | 10.6311i | −1.41226 | − | 0.815367i | ||||
\(171\) | 4.59406 | + | 11.2138i | 0.351317 | + | 0.857542i | ||||
\(172\) | 10.7941 | + | 18.6959i | 0.823042 | + | 1.42555i | ||||
\(173\) | −1.25238 | + | 7.10260i | −0.0952167 | + | 0.540001i | 0.899464 | + | 0.436995i | \(0.143957\pi\) |
−0.994681 | + | 0.103006i | \(0.967154\pi\) | |||||||
\(174\) | −34.6206 | + | 13.3860i | −2.62458 | + | 1.01479i | ||||
\(175\) | −10.8041 | − | 9.74090i | −0.816709 | − | 0.736343i | ||||
\(176\) | 1.78430 | − | 4.90231i | 0.134496 | − | 0.369526i | ||||
\(177\) | 3.00701 | − | 19.2881i | 0.226021 | − | 1.44978i | ||||
\(178\) | −15.0918 | − | 2.66109i | −1.13118 | − | 0.199457i | ||||
\(179\) | 6.14419 | − | 3.54735i | 0.459238 | − | 0.265141i | −0.252486 | − | 0.967601i | \(-0.581248\pi\) |
0.711724 | + | 0.702459i | \(0.247915\pi\) | |||||||
\(180\) | −5.86981 | − | 26.9714i | −0.437510 | − | 2.01033i | ||||
\(181\) | 4.46843 | + | 2.57985i | 0.332136 | + | 0.191759i | 0.656789 | − | 0.754074i | \(-0.271914\pi\) |
−0.324653 | + | 0.945833i | \(0.605248\pi\) | |||||||
\(182\) | 9.79138 | + | 18.4442i | 0.725785 | + | 1.36717i | ||||
\(183\) | −7.12834 | + | 4.30670i | −0.526942 | + | 0.318360i | ||||
\(184\) | −0.220297 | − | 1.24937i | −0.0162405 | − | 0.0921046i | ||||
\(185\) | −14.0008 | + | 11.7480i | −1.02936 | + | 0.863734i | ||||
\(186\) | −1.39102 | + | 1.21513i | −0.101994 | + | 0.0890974i | ||||
\(187\) | 3.29462 | + | 9.05191i | 0.240927 | + | 0.661941i | ||||
\(188\) | 24.8994 | 1.81598 | ||||||||
\(189\) | 6.58533 | − | 12.0679i | 0.479012 | − | 0.877808i | ||||
\(190\) | 28.7932 | 2.08888 | ||||||||
\(191\) | 1.36266 | + | 3.74387i | 0.0985984 | + | 0.270897i | 0.979179 | − | 0.203000i | \(-0.0650691\pi\) |
−0.880580 | + | 0.473897i | \(0.842847\pi\) | |||||||
\(192\) | 4.25472 | + | 21.6088i | 0.307058 | + | 1.55948i | ||||
\(193\) | 5.82741 | − | 4.88978i | 0.419466 | − | 0.351974i | −0.408494 | − | 0.912761i | \(-0.633946\pi\) |
0.827960 | + | 0.560787i | \(0.189501\pi\) | |||||||
\(194\) | −0.961271 | − | 5.45164i | −0.0690152 | − | 0.391405i | ||||
\(195\) | 17.6333 | + | 9.71848i | 1.26275 | + | 0.695955i | ||||
\(196\) | −2.05178 | − | 19.7718i | −0.146556 | − | 1.41227i | ||||
\(197\) | −3.24083 | − | 1.87109i | −0.230899 | − | 0.133310i | 0.380087 | − | 0.924951i | \(-0.375894\pi\) |
−0.610987 | + | 0.791641i | \(0.709227\pi\) | |||||||
\(198\) | −9.91448 | + | 18.8666i | −0.704591 | + | 1.34079i | ||||
\(199\) | 1.91984 | − | 1.10842i | 0.136094 | − | 0.0785736i | −0.430407 | − | 0.902635i | \(-0.641630\pi\) |
0.566501 | + | 0.824061i | \(0.308297\pi\) | |||||||
\(200\) | −10.0025 | − | 1.76372i | −0.707287 | − | 0.124714i | ||||
\(201\) | 12.8237 | + | 10.3330i | 0.904512 | + | 0.728835i | ||||
\(202\) | 8.65782 | − | 23.7872i | 0.609162 | − | 1.67366i | ||||
\(203\) | −17.2582 | + | 19.1418i | −1.21129 | + | 1.34349i | ||||
\(204\) | −11.4242 | − | 9.20539i | −0.799857 | − | 0.644507i | ||||
\(205\) | 1.10433 | − | 6.26296i | 0.0771297 | − | 0.437424i | ||||
\(206\) | −19.6221 | − | 33.9865i | −1.36714 | − | 2.36795i | ||||
\(207\) | −0.0818868 | − | 2.05864i | −0.00569153 | − | 0.143085i | ||||
\(208\) | −5.01933 | − | 2.89791i | −0.348028 | − | 0.200934i | ||||
\(209\) | −9.99289 | − | 8.38503i | −0.691223 | − | 0.580005i | ||||
\(210\) | −20.6013 | − | 25.3488i | −1.42162 | − | 1.74923i | ||||
\(211\) | −0.591357 | − | 3.35375i | −0.0407107 | − | 0.230882i | 0.957663 | − | 0.287892i | \(-0.0929544\pi\) |
−0.998374 | + | 0.0570100i | \(0.981843\pi\) | |||||||
\(212\) | −5.69234 | − | 6.78386i | −0.390951 | − | 0.465918i | ||||
\(213\) | 5.24977 | − | 1.03367i | 0.359708 | − | 0.0708259i | ||||
\(214\) | 6.18275 | − | 2.25034i | 0.422644 | − | 0.153830i | ||||
\(215\) | 24.6320 | 1.67989 | ||||||||
\(216\) | −0.572083 | − | 9.58179i | −0.0389253 | − | 0.651958i | ||||
\(217\) | −0.481206 | + | 1.18877i | −0.0326664 | + | 0.0806992i | ||||
\(218\) | −2.14739 | − | 5.89991i | −0.145440 | − | 0.399592i | ||||
\(219\) | 13.0503 | + | 14.9393i | 0.881854 | + | 1.00950i | ||||
\(220\) | 19.0991 | + | 22.7614i | 1.28766 | + | 1.53458i | ||||
\(221\) | 10.5392 | − | 1.85834i | 0.708940 | − | 0.125005i | ||||
\(222\) | −18.3968 | + | 11.1147i | −1.23471 | + | 0.745970i | ||||
\(223\) | 3.08075 | − | 3.67150i | 0.206302 | − | 0.245862i | −0.652965 | − | 0.757388i | \(-0.726475\pi\) |
0.859268 | + | 0.511526i | \(0.170920\pi\) | |||||||
\(224\) | 11.7971 | + | 15.1201i | 0.788227 | + | 1.01026i | ||||
\(225\) | −15.7119 | − | 5.02099i | −1.04746 | − | 0.334733i | ||||
\(226\) | −3.89612 | − | 6.74827i | −0.259166 | − | 0.448888i | ||||
\(227\) | 1.47843 | − | 8.38458i | 0.0981267 | − | 0.556504i | −0.895618 | − | 0.444825i | \(-0.853266\pi\) |
0.993744 | − | 0.111679i | \(-0.0356229\pi\) | |||||||
\(228\) | 19.6310 | + | 3.06047i | 1.30010 | + | 0.202685i | ||||
\(229\) | 7.67684 | − | 21.0920i | 0.507300 | − | 1.39380i | −0.376712 | − | 0.926331i | \(-0.622945\pi\) |
0.884012 | − | 0.467465i | \(-0.154833\pi\) | |||||||
\(230\) | −4.59997 | − | 1.67425i | −0.303313 | − | 0.110397i | ||||
\(231\) | −0.232136 | + | 14.7969i | −0.0152734 | + | 0.973564i | ||||
\(232\) | −3.12483 | + | 17.7218i | −0.205155 | + | 1.16349i | ||||
\(233\) | −4.77720 | + | 2.75812i | −0.312965 | + | 0.180690i | −0.648252 | − | 0.761426i | \(-0.724500\pi\) |
0.335288 | + | 0.942116i | \(0.391167\pi\) | |||||||
\(234\) | 18.7290 | + | 14.4870i | 1.22435 | + | 0.947043i | ||||
\(235\) | 14.2051 | − | 24.6039i | 0.926636 | − | 1.60498i | ||||
\(236\) | −24.5172 | − | 20.5724i | −1.59594 | − | 1.33915i | ||||
\(237\) | −11.4367 | + | 0.227371i | −0.742895 | + | 0.0147693i | ||||
\(238\) | −16.9802 | − | 3.62093i | −1.10066 | − | 0.234710i | ||||
\(239\) | 17.7886 | + | 21.1996i | 1.15065 | + | 1.37129i | 0.916961 | + | 0.398977i | \(0.130635\pi\) |
0.233687 | + | 0.972312i | \(0.424921\pi\) | |||||||
\(240\) | 8.57927 | + | 2.93083i | 0.553790 | + | 0.189184i | ||||
\(241\) | 0.237543 | + | 0.652643i | 0.0153015 | + | 0.0420404i | 0.947108 | − | 0.320914i | \(-0.103990\pi\) |
−0.931807 | + | 0.362955i | \(0.881768\pi\) | |||||||
\(242\) | 1.25692i | 0.0807978i | ||||||||
\(243\) | 1.17025 | − | 15.5445i | 0.0750715 | − | 0.997178i | ||||
\(244\) | 13.6543i | 0.874128i | ||||||||
\(245\) | −20.7077 | − | 9.25233i | −1.32296 | − | 0.591110i | ||||
\(246\) | 2.41775 | − | 7.07737i | 0.154150 | − | 0.451237i | ||||
\(247\) | −11.1017 | + | 9.31547i | −0.706387 | + | 0.592729i | ||||
\(248\) | 0.155492 | + | 0.881838i | 0.00987374 | + | 0.0559968i | ||||
\(249\) | −30.3950 | + | 0.604276i | −1.92621 | + | 0.0382945i | ||||
\(250\) | −2.28272 | + | 2.72044i | −0.144372 | + | 0.172056i | ||||
\(251\) | 2.14378 | − | 3.71314i | 0.135314 | − | 0.234371i | −0.790403 | − | 0.612587i | \(-0.790129\pi\) |
0.925717 | + | 0.378216i | \(0.123462\pi\) | |||||||
\(252\) | −11.3515 | − | 19.4724i | −0.715074 | − | 1.22664i | ||||
\(253\) | 1.10888 | + | 1.92064i | 0.0697149 | + | 0.120750i | ||||
\(254\) | 31.9557 | + | 5.63465i | 2.00508 | + | 0.353549i | ||||
\(255\) | −15.6137 | + | 6.03700i | −0.977765 | + | 0.378052i | ||||
\(256\) | 3.96106 | + | 1.44171i | 0.247566 | + | 0.0901067i | ||||
\(257\) | 9.32291 | + | 3.39326i | 0.581547 | + | 0.211666i | 0.616007 | − | 0.787740i | \(-0.288749\pi\) |
−0.0344606 | + | 0.999406i | \(0.510971\pi\) | |||||||
\(258\) | 28.6219 | + | 4.46214i | 1.78192 | + | 0.277801i | ||||
\(259\) | −7.91692 | + | 12.6512i | −0.491934 | + | 0.786106i | ||||
\(260\) | 28.5875 | − | 16.5050i | 1.77292 | − | 1.02360i | ||||
\(261\) | −8.89582 | + | 27.8372i | −0.550638 | + | 1.72308i | ||||
\(262\) | 17.3534 | + | 10.0190i | 1.07210 | + | 0.618976i | ||||
\(263\) | 2.88623 | − | 3.43967i | 0.177973 | − | 0.212099i | −0.669682 | − | 0.742648i | \(-0.733570\pi\) |
0.847655 | + | 0.530549i | \(0.178014\pi\) | |||||||
\(264\) | 5.34318 | + | 8.84389i | 0.328850 | + | 0.544304i | ||||
\(265\) | −9.95082 | + | 1.75460i | −0.611274 | + | 0.107784i | ||||
\(266\) | 22.3656 | − | 7.25075i | 1.37132 | − | 0.444572i | ||||
\(267\) | −9.08661 | + | 7.93763i | −0.556091 | + | 0.485775i | ||||
\(268\) | 25.3722 | − | 9.23472i | 1.54985 | − | 0.564100i | ||||
\(269\) | −3.30722 | −0.201645 | −0.100823 | − | 0.994904i | \(-0.532147\pi\) | ||||
−0.100823 | + | 0.994904i | \(0.532147\pi\) | |||||||
\(270\) | −33.1227 | − | 16.5745i | −2.01578 | − | 1.00869i | ||||
\(271\) | 27.4022i | 1.66457i | 0.554351 | + | 0.832283i | \(0.312966\pi\) | ||||
−0.554351 | + | 0.832283i | \(0.687034\pi\) | |||||||
\(272\) | 4.52821 | − | 1.64813i | 0.274563 | − | 0.0999328i | ||||
\(273\) | 16.1443 | + | 3.10855i | 0.977097 | + | 0.188138i | ||||
\(274\) | −16.9070 | + | 14.1866i | −1.02139 | + | 0.857047i | ||||
\(275\) | 17.4859 | − | 3.08323i | 1.05444 | − | 0.185926i | ||||
\(276\) | −2.95826 | − | 1.63043i | −0.178067 | − | 0.0981402i | ||||
\(277\) | 15.3342 | + | 12.8670i | 0.921346 | + | 0.773101i | 0.974243 | − | 0.225499i | \(-0.0724013\pi\) |
−0.0528977 | + | 0.998600i | \(0.516846\pi\) | |||||||
\(278\) | −4.48259 | + | 7.76407i | −0.268848 | + | 0.465658i | ||||
\(279\) | 0.0577979 | + | 1.45304i | 0.00346027 | + | 0.0869913i | ||||
\(280\) | −15.6833 | + | 2.19361i | −0.937256 | + | 0.131093i | ||||
\(281\) | 22.5838 | + | 3.98212i | 1.34723 | + | 0.237554i | 0.800289 | − | 0.599615i | \(-0.204680\pi\) |
0.546945 | + | 0.837169i | \(0.315791\pi\) | |||||||
\(282\) | 20.9630 | − | 26.0159i | 1.24833 | − | 1.54922i | ||||
\(283\) | −7.62218 | + | 20.9418i | −0.453091 | + | 1.24486i | 0.477446 | + | 0.878661i | \(0.341563\pi\) |
−0.930537 | + | 0.366197i | \(0.880660\pi\) | |||||||
\(284\) | 3.00030 | − | 8.24325i | 0.178035 | − | 0.489147i | ||||
\(285\) | 14.2236 | − | 17.6520i | 0.842534 | − | 1.04562i | ||||
\(286\) | −25.1009 | − | 4.42597i | −1.48425 | − | 0.261713i | ||||
\(287\) | −0.719342 | − | 5.14295i | −0.0424614 | − | 0.303579i | ||||
\(288\) | 19.2495 | + | 10.1157i | 1.13429 | + | 0.596074i | ||||
\(289\) | 4.05112 | − | 7.01675i | 0.238301 | − | 0.412750i | ||||
\(290\) | 53.1912 | + | 44.6327i | 3.12350 | + | 2.62093i | ||||
\(291\) | −3.81705 | − | 2.10374i | −0.223760 | − | 0.123324i | ||||
\(292\) | 32.0282 | − | 5.64743i | 1.87431 | − | 0.330491i | ||||
\(293\) | −10.6534 | + | 8.93928i | −0.622379 | + | 0.522238i | −0.898550 | − | 0.438870i | \(-0.855379\pi\) |
0.276171 | + | 0.961108i | \(0.410934\pi\) | |||||||
\(294\) | −22.3858 | − | 14.5022i | −1.30556 | − | 0.845788i | ||||
\(295\) | −34.3153 | + | 12.4897i | −1.99791 | + | 0.727181i | ||||
\(296\) | 10.4202i | 0.605664i | ||||||||
\(297\) | 6.66872 | + | 15.3981i | 0.386958 | + | 0.893489i | ||||
\(298\) | −21.4334 | −1.24160 | ||||||||
\(299\) | 2.31527 | − | 0.842689i | 0.133895 | − | 0.0487340i | ||||
\(300\) | −20.3666 | + | 17.7913i | −1.17587 | + | 1.02718i | ||||
\(301\) | 19.1333 | − | 6.20287i | 1.10283 | − | 0.357528i | ||||
\(302\) | −45.6474 | + | 8.04886i | −2.62671 | + | 0.463160i | ||||
\(303\) | −10.3061 | − | 17.0584i | −0.592071 | − | 0.979981i | ||||
\(304\) | −4.19461 | + | 4.99894i | −0.240577 | + | 0.286709i | ||||
\(305\) | 13.4923 | + | 7.78977i | 0.772565 | + | 0.446041i | ||||
\(306\) | −19.2363 | + | 4.18642i | −1.09967 | + | 0.239321i | ||||
\(307\) | −4.06170 | + | 2.34502i | −0.231813 | + | 0.133837i | −0.611408 | − | 0.791315i | \(-0.709397\pi\) |
0.379595 | + | 0.925153i | \(0.376063\pi\) | |||||||
\(308\) | 20.5674 | + | 12.8707i | 1.17193 | + | 0.733379i | ||||
\(309\) | −30.5290 | − | 4.75946i | −1.73673 | − | 0.270756i | ||||
\(310\) | 3.24678 | + | 1.18173i | 0.184405 | + | 0.0671178i | ||||
\(311\) | 0.145456 | + | 0.0529415i | 0.00824803 | + | 0.00300204i | 0.346141 | − | 0.938183i | \(-0.387492\pi\) |
−0.337893 | + | 0.941185i | \(0.609714\pi\) | |||||||
\(312\) | 10.7068 | − | 4.13976i | 0.606151 | − | 0.234368i | ||||
\(313\) | 23.8814 | + | 4.21093i | 1.34986 | + | 0.238016i | 0.801383 | − | 0.598152i | \(-0.204098\pi\) |
0.548473 | + | 0.836168i | \(0.315209\pi\) | |||||||
\(314\) | −11.1999 | − | 19.3988i | −0.632047 | − | 1.09474i | ||||
\(315\) | −25.7172 | + | 0.107789i | −1.44900 | + | 0.00607321i | ||||
\(316\) | −9.37714 | + | 16.2417i | −0.527505 | + | 0.913666i | ||||
\(317\) | −3.59159 | + | 4.28029i | −0.201724 | + | 0.240405i | −0.857417 | − | 0.514623i | \(-0.827932\pi\) |
0.655693 | + | 0.755027i | \(0.272376\pi\) | |||||||
\(318\) | −11.8805 | + | 0.236193i | −0.666224 | + | 0.0132450i | ||||
\(319\) | −5.46265 | − | 30.9802i | −0.305850 | − | 1.73456i | ||||
\(320\) | 31.5602 | − | 26.4822i | 1.76427 | − | 1.48040i | ||||
\(321\) | 1.67463 | − | 4.90206i | 0.0934687 | − | 0.273606i | ||||
\(322\) | −3.99471 | − | 0.142132i | −0.222617 | − | 0.00792070i | ||||
\(323\) | − | 12.0493i | − | 0.670443i | ||||||
\(324\) | −20.8211 | − | 14.8210i | −1.15673 | − | 0.823388i | ||||
\(325\) | − | 19.7259i | − | 1.09419i | ||||||
\(326\) | 7.60183 | + | 20.8858i | 0.421026 | + | 1.15676i | ||||
\(327\) | −4.67780 | − | 1.59802i | −0.258683 | − | 0.0883707i | ||||
\(328\) | −2.33064 | − | 2.77755i | −0.128688 | − | 0.153365i | ||||
\(329\) | 4.83823 | − | 22.6886i | 0.266740 | − | 1.25086i | ||||
\(330\) | 39.8617 | − | 0.792482i | 2.19432 | − | 0.0436247i | ||||
\(331\) | −6.72476 | − | 5.64274i | −0.369626 | − | 0.310153i | 0.438987 | − | 0.898493i | \(-0.355337\pi\) |
−0.808614 | + | 0.588340i | \(0.799782\pi\) | |||||||
\(332\) | −24.9213 | + | 43.1650i | −1.36774 | + | 2.36899i | ||||
\(333\) | −2.27384 | + | 16.7689i | −0.124606 | + | 0.918932i | ||||
\(334\) | 24.2575 | − | 14.0051i | 1.32731 | − | 0.766323i | ||||
\(335\) | 5.34966 | − | 30.3394i | 0.292283 | − | 1.65762i | ||||
\(336\) | 7.40214 | + | 0.116126i | 0.403820 | + | 0.00633518i | ||||
\(337\) | 16.3526 | + | 5.95186i | 0.890783 | + | 0.324218i | 0.746553 | − | 0.665326i | \(-0.231707\pi\) |
0.144230 | + | 0.989544i | \(0.453930\pi\) | |||||||
\(338\) | 0.0967017 | − | 0.265686i | 0.00525988 | − | 0.0144514i | ||||
\(339\) | −6.06176 | − | 0.945026i | −0.329229 | − | 0.0513268i | ||||
\(340\) | −4.76586 | + | 27.0286i | −0.258465 | + | 1.46583i | ||||
\(341\) | −0.782680 | − | 1.35564i | −0.0423845 | − | 0.0734121i | ||||
\(342\) | 19.7252 | − | 17.9346i | 1.06662 | − | 0.969794i | ||||
\(343\) | −18.4149 | − | 1.97227i | −0.994313 | − | 0.106493i | ||||
\(344\) | 9.02708 | − | 10.7581i | 0.486708 | − | 0.580036i | ||||
\(345\) | −3.29876 | + | 1.99300i | −0.177599 | + | 0.107299i | ||||
\(346\) | 15.6252 | − | 2.75515i | 0.840018 | − | 0.148118i | ||||
\(347\) | 1.81114 | + | 2.15843i | 0.0972268 | + | 0.115870i | 0.812464 | − | 0.583011i | \(-0.198126\pi\) |
−0.715237 | + | 0.698882i | \(0.753681\pi\) | |||||||
\(348\) | 31.5213 | + | 36.0840i | 1.68972 | + | 1.93431i | ||||
\(349\) | −7.28167 | − | 20.0062i | −0.389779 | − | 1.07091i | −0.967101 | − | 0.254392i | \(-0.918125\pi\) |
0.577323 | − | 0.816516i | \(-0.304098\pi\) | |||||||
\(350\) | −12.0078 | + | 29.6641i | −0.641843 | + | 1.58561i | ||||
\(351\) | 18.1334 | − | 4.32560i | 0.967888 | − | 0.230883i | ||||
\(352\) | −23.4080 | −1.24765 | ||||||||
\(353\) | 20.7113 | − | 7.53828i | 1.10235 | − | 0.401222i | 0.274167 | − | 0.961682i | \(-0.411598\pi\) |
0.828182 | + | 0.560460i | \(0.189376\pi\) | |||||||
\(354\) | −42.1361 | + | 8.29652i | −2.23951 | + | 0.440955i | ||||
\(355\) | −6.43375 | − | 7.66745i | −0.341468 | − | 0.406946i | ||||
\(356\) | 3.43497 | + | 19.4807i | 0.182053 | + | 1.03247i | ||||
\(357\) | −10.6079 | + | 8.62119i | −0.561430 | + | 0.456282i | ||||
\(358\) | −11.9563 | − | 10.0325i | −0.631911 | − | 0.530236i | ||||
\(359\) | −17.6192 | − | 10.1725i | −0.929908 | − | 0.536883i | −0.0431257 | − | 0.999070i | \(-0.513732\pi\) |
−0.886783 | + | 0.462187i | \(0.847065\pi\) | |||||||
\(360\) | −15.1815 | + | 9.58912i | −0.800134 | + | 0.505391i | ||||
\(361\) | −1.34139 | − | 2.32335i | −0.0705993 | − | 0.122282i | ||||
\(362\) | 1.97108 | − | 11.1786i | 0.103598 | − | 0.587532i | ||||
\(363\) | 0.770569 | + | 0.620906i | 0.0404444 | + | 0.0325891i | ||||
\(364\) | 18.0495 | − | 20.0195i | 0.946051 | − | 1.04931i | ||||
\(365\) | 12.6916 | − | 34.8699i | 0.664309 | − | 1.82517i | ||||
\(366\) | 14.2666 | + | 11.4957i | 0.745726 | + | 0.600889i | ||||
\(367\) | −23.5883 | − | 4.15925i | −1.23130 | − | 0.217111i | −0.480116 | − | 0.877205i | \(-0.659405\pi\) |
−0.751183 | + | 0.660094i | \(0.770517\pi\) | |||||||
\(368\) | 0.960800 | − | 0.554718i | 0.0500852 | − | 0.0289167i | ||||
\(369\) | −3.14452 | − | 4.97839i | −0.163697 | − | 0.259165i | ||||
\(370\) | 34.8208 | + | 20.1038i | 1.81025 | + | 1.04515i | ||||
\(371\) | −7.28762 | + | 3.86874i | −0.378354 | + | 0.200855i | ||||
\(372\) | 2.08802 | + | 1.15080i | 0.108259 | + | 0.0596662i | ||||
\(373\) | 3.20352 | + | 18.1680i | 0.165872 | + | 0.940706i | 0.948161 | + | 0.317790i | \(0.102941\pi\) |
−0.782289 | + | 0.622915i | \(0.785948\pi\) | |||||||
\(374\) | 16.2337 | − | 13.6217i | 0.839425 | − | 0.704361i | ||||
\(375\) | 0.540154 | + | 2.74332i | 0.0278934 | + | 0.141664i | ||||
\(376\) | −5.53993 | − | 15.2208i | −0.285700 | − | 0.784955i | ||||
\(377\) | −34.9489 | −1.79996 | ||||||||
\(378\) | −29.9024 | − | 4.53348i | −1.53801 | − | 0.233177i | ||||
\(379\) | −14.2916 | −0.734112 | −0.367056 | − | 0.930199i | \(-0.619634\pi\) | ||||
−0.367056 | + | 0.930199i | \(0.619634\pi\) | |||||||
\(380\) | −12.7118 | − | 34.9253i | −0.652100 | − | 1.79163i | ||||
\(381\) | 19.2402 | − | 16.8073i | 0.985706 | − | 0.861066i | ||||
\(382\) | 6.71427 | − | 5.63394i | 0.343532 | − | 0.288257i | ||||
\(383\) | −3.96910 | − | 22.5099i | −0.202812 | − | 1.15020i | −0.900846 | − | 0.434138i | \(-0.857053\pi\) |
0.698035 | − | 0.716064i | \(-0.254058\pi\) | |||||||
\(384\) | 19.9778 | − | 12.0699i | 1.01949 | − | 0.615940i | ||||
\(385\) | 24.4516 | − | 12.9805i | 1.24617 | − | 0.661548i | ||||
\(386\) | −14.4931 | − | 8.36760i | −0.737680 | − | 0.425900i | ||||
\(387\) | 16.8745 | − | 15.3427i | 0.857780 | − | 0.779914i | ||||
\(388\) | −6.18829 | + | 3.57281i | −0.314163 | + | 0.181382i | ||||
\(389\) | −2.40905 | − | 0.424780i | −0.122143 | − | 0.0215372i | 0.112242 | − | 0.993681i | \(-0.464197\pi\) |
−0.234386 | + | 0.972144i | \(0.575308\pi\) | |||||||
\(390\) | 6.82296 | − | 43.7651i | 0.345494 | − | 2.21613i | ||||
\(391\) | −0.700637 | + | 1.92499i | −0.0354328 | + | 0.0973507i | ||||
\(392\) | −11.6299 | + | 5.65331i | −0.587396 | + | 0.285535i | ||||
\(393\) | 14.7147 | − | 5.68942i | 0.742258 | − | 0.286993i | ||||
\(394\) | −1.42957 | + | 8.10749i | −0.0720207 | + | 0.408449i | ||||
\(395\) | 10.6993 | + | 18.5317i | 0.538339 | + | 0.932431i | ||||
\(396\) | 27.2617 | + | 3.69665i | 1.36995 | + | 0.185764i | ||||
\(397\) | −11.7575 | − | 6.78822i | −0.590094 | − | 0.340691i | 0.175041 | − | 0.984561i | \(-0.443994\pi\) |
−0.765135 | + | 0.643870i | \(0.777328\pi\) | |||||||
\(398\) | −3.73591 | − | 3.13480i | −0.187264 | − | 0.157134i | ||||
\(399\) | 6.60326 | − | 17.2933i | 0.330576 | − | 0.865749i | ||||
\(400\) | −1.54239 | − | 8.74730i | −0.0771193 | − | 0.437365i | ||||
\(401\) | −12.2624 | − | 14.6138i | −0.612356 | − | 0.729777i | 0.367380 | − | 0.930071i | \(-0.380255\pi\) |
−0.979736 | + | 0.200294i | \(0.935810\pi\) | |||||||
\(402\) | 11.7122 | − | 34.2847i | 0.584153 | − | 1.70996i | ||||
\(403\) | −1.63418 | + | 0.594793i | −0.0814043 | + | 0.0296287i | ||||
\(404\) | −32.6754 | −1.62566 | ||||||||
\(405\) | −26.5235 | + | 12.1186i | −1.31796 | + | 0.602179i | ||||
\(406\) | 52.5566 | + | 21.2745i | 2.60834 | + | 1.05584i | ||||
\(407\) | −6.23026 | − | 17.1175i | −0.308823 | − | 0.848483i | ||||
\(408\) | −3.08539 | + | 9.03170i | −0.152749 | + | 0.447136i | ||||
\(409\) | 21.1128 | + | 25.1612i | 1.04396 | + | 1.24414i | 0.969027 | + | 0.246955i | \(0.0794300\pi\) |
0.0749336 | + | 0.997189i | \(0.476126\pi\) | |||||||
\(410\) | −13.7781 | + | 2.42945i | −0.680452 | + | 0.119982i | ||||
\(411\) | 0.345391 | + | 17.3731i | 0.0170369 | + | 0.856952i | ||||
\(412\) | −32.5617 | + | 38.8055i | −1.60420 | + | 1.91181i | ||||
\(413\) | −23.5098 | + | 18.3429i | −1.15684 | + | 0.902597i | ||||
\(414\) | −4.19412 | + | 1.71824i | −0.206130 | + | 0.0844470i | ||||
\(415\) | 28.4352 | + | 49.2511i | 1.39583 | + | 2.41764i | ||||
\(416\) | −4.51580 | + | 25.6104i | −0.221406 | + | 1.25565i | ||||
\(417\) | 2.54550 | + | 6.58348i | 0.124653 | + | 0.322395i | ||||
\(418\) | −9.81519 | + | 26.9670i | −0.480076 | + | 1.31900i | ||||
\(419\) | 24.1055 | + | 8.77369i | 1.17763 | + | 0.428623i | 0.855365 | − | 0.518026i | \(-0.173333\pi\) |
0.322267 | + | 0.946649i | \(0.395555\pi\) | |||||||
\(420\) | −21.6521 | + | 36.1798i | −1.05652 | + | 1.76540i | ||||
\(421\) | −2.00087 | + | 11.3475i | −0.0975165 | + | 0.553044i | 0.896431 | + | 0.443184i | \(0.146151\pi\) |
−0.993947 | + | 0.109860i | \(0.964960\pi\) | |||||||
\(422\) | −6.48814 | + | 3.74593i | −0.315838 | + | 0.182349i | ||||
\(423\) | −5.59382 | − | 25.7033i | −0.271981 | − | 1.24973i | ||||
\(424\) | −2.88043 | + | 4.98905i | −0.139886 | + | 0.242290i | ||||
\(425\) | 12.5637 | + | 10.5422i | 0.609427 | + | 0.511370i | ||||
\(426\) | −6.08691 | − | 10.0749i | −0.294912 | − | 0.488130i | ||||
\(427\) | 12.4420 | + | 2.65319i | 0.602109 | + | 0.128397i | ||||
\(428\) | −5.45918 | − | 6.50600i | −0.263880 | − | 0.314479i | ||||
\(429\) | −15.1130 | + | 13.2020i | −0.729663 | + | 0.637400i | ||||
\(430\) | −18.5337 | − | 50.9208i | −0.893773 | − | 2.45562i | ||||
\(431\) | 27.5891i | 1.32892i | 0.747323 | + | 0.664461i | \(0.231339\pi\) | ||||
−0.747323 | + | 0.664461i | \(0.768661\pi\) | |||||||
\(432\) | 7.70290 | − | 3.33602i | 0.370606 | − | 0.160505i | ||||
\(433\) | − | 1.08018i | − | 0.0519102i | −0.999663 | − | 0.0259551i | \(-0.991737\pi\) | ||
0.999663 | − | 0.0259551i | \(-0.00826269\pi\) | |||||||
\(434\) | 2.81958 | + | 0.100320i | 0.135344 | + | 0.00481554i | ||||
\(435\) | 53.6386 | − | 10.5613i | 2.57178 | − | 0.506377i | ||||
\(436\) | −6.20837 | + | 5.20944i | −0.297327 | + | 0.249487i | ||||
\(437\) | −0.481720 | − | 2.73197i | −0.0230438 | − | 0.130688i | ||||
\(438\) | 21.0641 | − | 38.2189i | 1.00648 | − | 1.82617i | ||||
\(439\) | −1.70073 | + | 2.02686i | −0.0811716 | + | 0.0967365i | −0.805102 | − | 0.593137i | \(-0.797889\pi\) |
0.723930 | + | 0.689873i | \(0.242334\pi\) | |||||||
\(440\) | 9.66450 | − | 16.7394i | 0.460737 | − | 0.798020i | ||||
\(441\) | −19.9491 | + | 6.55988i | −0.949959 | + | 0.312375i | ||||
\(442\) | −11.7716 | − | 20.3889i | −0.559916 | − | 0.969803i | ||||
\(443\) | −15.9507 | − | 2.81254i | −0.757840 | − | 0.133628i | −0.218640 | − | 0.975806i | \(-0.570162\pi\) |
−0.539200 | + | 0.842178i | \(0.681273\pi\) | |||||||
\(444\) | 21.6037 | + | 17.4078i | 1.02527 | + | 0.826135i | ||||
\(445\) | 21.2091 | + | 7.71949i | 1.00541 | + | 0.365939i | ||||
\(446\) | −9.90797 | − | 3.60621i | −0.469156 | − | 0.170759i | ||||
\(447\) | −10.5879 | + | 13.1400i | −0.500790 | + | 0.621500i | ||||
\(448\) | 17.8462 | − | 28.5180i | 0.843151 | − | 1.34735i | ||||
\(449\) | 16.4077 | − | 9.47299i | 0.774327 | − | 0.447058i | −0.0600887 | − | 0.998193i | \(-0.519138\pi\) |
0.834416 | + | 0.551135i | \(0.185805\pi\) | |||||||
\(450\) | 1.44226 | + | 36.2585i | 0.0679888 | + | 1.70924i | ||||
\(451\) | 5.48928 | + | 3.16924i | 0.258480 | + | 0.149234i | ||||
\(452\) | −6.46537 | + | 7.70513i | −0.304106 | + | 0.362419i | ||||
\(453\) | −17.6149 | + | 31.9607i | −0.827622 | + | 1.50165i | ||||
\(454\) | −18.4455 | + | 3.25244i | −0.865691 | + | 0.152645i | ||||
\(455\) | −9.48467 | − | 29.2563i | −0.444648 | − | 1.37156i | ||||
\(456\) | −2.49691 | − | 12.6812i | −0.116929 | − | 0.593854i | ||||
\(457\) | −27.2962 | + | 9.93500i | −1.27686 | + | 0.464740i | −0.889393 | − | 0.457143i | \(-0.848873\pi\) |
−0.387468 | + | 0.921883i | \(0.626650\pi\) | |||||||
\(458\) | −49.3788 | −2.30732 | ||||||||
\(459\) | −6.93605 | + | 13.8611i | −0.323747 | + | 0.646981i | ||||
\(460\) | 6.31877i | 0.294614i | ||||||||
\(461\) | −39.9292 | + | 14.5330i | −1.85969 | + | 0.676870i | −0.880453 | + | 0.474134i | \(0.842761\pi\) |
−0.979233 | + | 0.202737i | \(0.935016\pi\) | |||||||
\(462\) | 30.7637 | − | 10.6536i | 1.43126 | − | 0.495651i | ||||
\(463\) | −10.3324 | + | 8.66991i | −0.480187 | + | 0.402925i | −0.850494 | − | 0.525985i | \(-0.823697\pi\) |
0.370307 | + | 0.928909i | \(0.379252\pi\) | |||||||
\(464\) | −15.4978 | + | 2.73269i | −0.719469 | + | 0.126862i | ||||
\(465\) | 2.32836 | − | 1.40671i | 0.107975 | − | 0.0652347i | ||||
\(466\) | 9.29622 | + | 7.80045i | 0.430639 | + | 0.361349i | ||||
\(467\) | −12.0023 | + | 20.7886i | −0.555401 | + | 0.961983i | 0.442471 | + | 0.896783i | \(0.354102\pi\) |
−0.997872 | + | 0.0652000i | \(0.979231\pi\) | |||||||
\(468\) | 9.30369 | − | 29.1135i | 0.430063 | − | 1.34577i | ||||
\(469\) | −3.48468 | − | 24.9138i | −0.160908 | − | 1.15041i | ||||
\(470\) | −61.5509 | − | 10.8531i | −2.83913 | − | 0.500615i | ||||
\(471\) | −17.4253 | − | 2.71660i | −0.802916 | − | 0.125174i | ||||
\(472\) | −7.12087 | + | 19.5644i | −0.327765 | + | 0.900526i | ||||
\(473\) | −8.39669 | + | 23.0697i | −0.386080 | + | 1.06075i | ||||
\(474\) | 9.07527 | + | 23.4716i | 0.416841 | + | 1.07809i | ||||
\(475\) | −21.8724 | − | 3.85669i | −1.00357 | − | 0.176957i | ||||
\(476\) | 3.10441 | + | 22.1950i | 0.142290 | + | 1.01731i | ||||
\(477\) | −5.72405 | + | 7.40015i | −0.262086 | + | 0.338829i | ||||
\(478\) | 30.4406 | − | 52.7247i | 1.39232 | − | 2.41157i | ||||
\(479\) | −17.1728 | − | 14.4097i | −0.784647 | − | 0.658397i | 0.159767 | − | 0.987155i | \(-0.448926\pi\) |
−0.944414 | + | 0.328758i | \(0.893370\pi\) | |||||||
\(480\) | −0.808567 | − | 40.6709i | −0.0369059 | − | 1.85636i | ||||
\(481\) | −19.9299 | + | 3.51419i | −0.908727 | + | 0.160233i | ||||
\(482\) | 1.17045 | − | 0.982126i | 0.0533126 | − | 0.0447346i | ||||
\(483\) | −2.06049 | + | 2.37879i | −0.0937554 | + | 0.108239i | ||||
\(484\) | 1.52460 | − | 0.554910i | 0.0693002 | − | 0.0252232i | ||||
\(485\) | 8.15312i | 0.370214i | ||||||||
\(486\) | −33.0150 | + | 9.27678i | −1.49759 | + | 0.420803i | ||||
\(487\) | 6.87495 | 0.311534 | 0.155767 | − | 0.987794i | \(-0.450215\pi\) | ||||
0.155767 | + | 0.987794i | \(0.450215\pi\) | |||||||
\(488\) | 8.34680 | − | 3.03799i | 0.377842 | − | 0.137523i | ||||
\(489\) | 16.5596 | + | 5.65703i | 0.748849 | + | 0.255820i | ||||
\(490\) | −3.54611 | + | 49.7698i | −0.160197 | + | 2.24837i | ||||
\(491\) | −5.85169 | + | 1.03181i | −0.264083 | + | 0.0465650i | −0.304122 | − | 0.952633i | \(-0.598363\pi\) |
0.0400387 | + | 0.999198i | \(0.487252\pi\) | |||||||
\(492\) | −9.65204 | + | 0.191890i | −0.435147 | + | 0.00865106i | ||||
\(493\) | 18.6778 | − | 22.2594i | 0.841207 | − | 1.00251i | ||||
\(494\) | 27.6107 | + | 15.9411i | 1.24226 | + | 0.717222i | ||||
\(495\) | 19.2055 | − | 24.8292i | 0.863223 | − | 1.11599i | ||||
\(496\) | −0.678159 | + | 0.391535i | −0.0304502 | + | 0.0175804i | ||||
\(497\) | −6.92835 | − | 4.33566i | −0.310779 | − | 0.194481i | ||||
\(498\) | 24.1191 | + | 62.3798i | 1.08080 | + | 2.79531i | ||||
\(499\) | 8.89086 | + | 3.23601i | 0.398010 | + | 0.144864i | 0.533267 | − | 0.845947i | \(-0.320964\pi\) |
−0.135258 | + | 0.990810i | \(0.543186\pi\) | |||||||
\(500\) | 4.30759 | + | 1.56784i | 0.192641 | + | 0.0701158i | ||||
\(501\) | 3.39701 | − | 21.7897i | 0.151767 | − | 0.973493i | ||||
\(502\) | −9.28905 | − | 1.63791i | −0.414590 | − | 0.0731035i | ||||
\(503\) | 8.03207 | + | 13.9120i | 0.358132 | + | 0.620303i | 0.987649 | − | 0.156684i | \(-0.0500804\pi\) |
−0.629517 | + | 0.776987i | \(0.716747\pi\) | |||||||
\(504\) | −9.37771 | + | 11.2715i | −0.417716 | + | 0.502074i | ||||
\(505\) | −18.6413 | + | 32.2876i | −0.829525 | + | 1.43678i | ||||
\(506\) | 3.13612 | − | 3.73748i | 0.139418 | − | 0.166151i | ||||
\(507\) | −0.115112 | − | 0.190530i | −0.00511230 | − | 0.00846175i | ||||
\(508\) | −7.27329 | − | 41.2489i | −0.322700 | − | 1.83012i | ||||
\(509\) | 7.79226 | − | 6.53848i | 0.345386 | − | 0.289813i | −0.453548 | − | 0.891232i | \(-0.649842\pi\) |
0.798934 | + | 0.601419i | \(0.205398\pi\) | |||||||
\(510\) | 24.2281 | + | 27.7351i | 1.07284 | + | 1.22813i | ||||
\(511\) | 1.07743 | − | 30.2818i | 0.0476625 | − | 1.33959i | ||||
\(512\) | 17.6784i | 0.781282i | ||||||||
\(513\) | −1.25096 | − | 20.9523i | −0.0552314 | − | 0.925068i | ||||
\(514\) | − | 21.8260i | − | 0.962705i | ||||||
\(515\) | 19.7686 | + | 54.3137i | 0.871108 | + | 2.39335i | ||||
\(516\) | −7.22368 | − | 36.6874i | −0.318005 | − | 1.61507i | ||||
\(517\) | 18.2011 | + | 21.6912i | 0.800483 | + | 0.953978i | ||||
\(518\) | 32.1102 | + | 6.84733i | 1.41084 | + | 0.300854i | ||||
\(519\) | 6.02965 | − | 10.9403i | 0.264672 | − | 0.480224i | ||||
\(520\) | −16.4499 | − | 13.8031i | −0.721376 | − | 0.605306i | ||||
\(521\) | 18.8534 | − | 32.6550i | 0.825982 | − | 1.43064i | −0.0751836 | − | 0.997170i | \(-0.523954\pi\) |
0.901166 | − | 0.433474i | \(-0.142712\pi\) | |||||||
\(522\) | 64.2401 | − | 2.55529i | 2.81171 | − | 0.111842i | ||||
\(523\) | 1.29357 | − | 0.746842i | 0.0565638 | − | 0.0326571i | −0.471451 | − | 0.881892i | \(-0.656270\pi\) |
0.528015 | + | 0.849235i | \(0.322936\pi\) | |||||||
\(524\) | 4.49147 | − | 25.4724i | 0.196211 | − | 1.11277i | ||||
\(525\) | 12.2542 | + | 22.0153i | 0.534816 | + | 0.960826i | ||||
\(526\) | −9.28237 | − | 3.37851i | −0.404730 | − | 0.147310i | ||||
\(527\) | 0.494529 | − | 1.35871i | 0.0215420 | − | 0.0591862i | ||||
\(528\) | −5.66949 | + | 7.03605i | −0.246733 | + | 0.306205i | ||||
\(529\) | 3.91201 | − | 22.1861i | 0.170087 | − | 0.964614i | ||||
\(530\) | 11.1144 | + | 19.2507i | 0.482780 | + | 0.836199i | ||||
\(531\) | −15.7286 | + | 29.9305i | −0.682563 | + | 1.29887i | ||||
\(532\) | −18.6690 | − | 23.9277i | −0.809405 | − | 1.03740i | ||||
\(533\) | 4.52639 | − | 5.39435i | 0.196060 | − | 0.233655i | ||||
\(534\) | 23.2461 | + | 12.8119i | 1.00596 | + | 0.554427i | ||||
\(535\) | −9.54324 | + | 1.68273i | −0.412590 | + | 0.0727508i | ||||
\(536\) | −11.2902 | − | 13.4552i | −0.487664 | − | 0.581176i | ||||
\(537\) | −12.0569 | + | 2.37398i | −0.520293 | + | 0.102445i | ||||
\(538\) | 2.48843 | + | 6.83690i | 0.107284 | + | 0.294760i | ||||
\(539\) | 15.7244 | − | 16.2403i | 0.677299 | − | 0.699518i | ||||
\(540\) | −5.48115 | + | 47.4942i | −0.235871 | + | 2.04382i | ||||
\(541\) | 3.68188 | 0.158297 | 0.0791483 | − | 0.996863i | \(-0.474780\pi\) | ||||
0.0791483 | + | 0.996863i | \(0.474780\pi\) | |||||||
\(542\) | 56.6475 | − | 20.6180i | 2.43322 | − | 0.885620i | ||||
\(543\) | −5.87945 | − | 6.73050i | −0.252311 | − | 0.288834i | ||||
\(544\) | −13.8982 | − | 16.5632i | −0.595880 | − | 0.710142i | ||||
\(545\) | 1.60575 | + | 9.10666i | 0.0687828 | + | 0.390087i | ||||
\(546\) | −5.72113 | − | 35.7134i | −0.244842 | − | 1.52839i | ||||
\(547\) | 28.1372 | + | 23.6099i | 1.20306 | + | 1.00949i | 0.999537 | + | 0.0304178i | \(0.00968377\pi\) |
0.203523 | + | 0.979070i | \(0.434761\pi\) | |||||||
\(548\) | 24.6722 | + | 14.2445i | 1.05394 | + | 0.608494i | ||||
\(549\) | 14.0951 | − | 3.06753i | 0.601566 | − | 0.130919i | ||||
\(550\) | −19.5306 | − | 33.8280i | −0.832787 | − | 1.44243i | ||||
\(551\) | −6.83301 | + | 38.7519i | −0.291096 | + | 1.65089i | ||||
\(552\) | −0.338478 | + | 2.17113i | −0.0144066 | + | 0.0924093i | ||||
\(553\) | 12.9775 | + | 11.7005i | 0.551860 | + | 0.497556i | ||||
\(554\) | 15.0616 | − | 41.3813i | 0.639904 | − | 1.75812i | ||||
\(555\) | 29.5260 | − | 11.4162i | 1.25331 | − | 0.484591i | ||||
\(556\) | 11.3966 | + | 2.00952i | 0.483322 | + | 0.0852227i | ||||
\(557\) | 2.40680 | − | 1.38957i | 0.101979 | − | 0.0588778i | −0.448143 | − | 0.893962i | \(-0.647914\pi\) |
0.550122 | + | 0.835084i | \(0.314581\pi\) | |||||||
\(558\) | 2.96033 | − | 1.21278i | 0.125321 | − | 0.0513412i | ||||
\(559\) | 23.6204 | + | 13.6372i | 0.999036 | + | 0.576794i | ||||
\(560\) | −6.49350 | − | 12.2319i | −0.274400 | − | 0.516893i | ||||
\(561\) | −0.331636 | − | 16.6813i | −0.0140017 | − | 0.704284i | ||||
\(562\) | −8.76041 | − | 49.6827i | −0.369536 | − | 2.09574i | ||||
\(563\) | −25.7160 | + | 21.5783i | −1.08380 | + | 0.909415i | −0.996231 | − | 0.0867435i | \(-0.972354\pi\) |
−0.0875679 | + | 0.996159i | \(0.527909\pi\) | |||||||
\(564\) | −40.8113 | − | 13.9419i | −1.71847 | − | 0.587059i | ||||
\(565\) | 3.92520 | + | 10.7844i | 0.165134 | + | 0.453703i | ||||
\(566\) | 49.0272 | 2.06077 | ||||||||
\(567\) | −17.5508 | + | 16.0925i | −0.737065 | + | 0.675822i | ||||
\(568\) | −5.70659 | −0.239443 | ||||||||
\(569\) | −12.7217 | − | 34.9527i | −0.533323 | − | 1.46529i | −0.855093 | − | 0.518474i | \(-0.826500\pi\) |
0.321771 | − | 0.946818i | \(-0.395722\pi\) | |||||||
\(570\) | −47.1935 | − | 16.1221i | −1.97672 | − | 0.675282i | ||||
\(571\) | −6.22425 | + | 5.22276i | −0.260477 | + | 0.218566i | −0.763668 | − | 0.645609i | \(-0.776604\pi\) |
0.503191 | + | 0.864175i | \(0.332159\pi\) | |||||||
\(572\) | 5.71311 | + | 32.4006i | 0.238877 | + | 1.35474i | ||||
\(573\) | −0.137165 | − | 6.89938i | −0.00573014 | − | 0.288226i | ||||
\(574\) | −10.0906 | + | 5.35674i | −0.421173 | + | 0.223586i | ||||
\(575\) | 3.27005 | + | 1.88796i | 0.136370 | + | 0.0787335i | ||||
\(576\) | 5.12565 | − | 37.8001i | 0.213569 | − | 1.57501i | ||||
\(577\) | 15.4017 | − | 8.89220i | 0.641183 | − | 0.370187i | −0.143887 | − | 0.989594i | \(-0.545960\pi\) |
0.785070 | + | 0.619407i | \(0.212627\pi\) | |||||||
\(578\) | −17.5536 | − | 3.09518i | −0.730134 | − | 0.128742i | ||||
\(579\) | −12.2893 | + | 4.75165i | −0.510727 | + | 0.197472i | ||||
\(580\) | 30.6550 | − | 84.2240i | 1.27288 | − | 3.49721i | ||||
\(581\) | 34.4900 | + | 31.0960i | 1.43088 | + | 1.29008i | ||||
\(582\) | −1.47695 | + | 9.47375i | −0.0612217 | + | 0.392699i | ||||
\(583\) | 1.74878 | − | 9.91780i | 0.0724269 | − | 0.410753i | ||||
\(584\) | −10.5783 | − | 18.3221i | −0.437732 | − | 0.758173i | ||||
\(585\) | −23.4602 | − | 25.8025i | −0.969960 | − | 1.06680i | ||||
\(586\) | 26.4957 | + | 15.2973i | 1.09453 | + | 0.631925i | ||||
\(587\) | −14.9687 | − | 12.5602i | −0.617822 | − | 0.518415i | 0.279296 | − | 0.960205i | \(-0.409899\pi\) |
−0.897118 | + | 0.441791i | \(0.854343\pi\) | |||||||
\(588\) | −7.70780 | + | 33.5558i | −0.317864 | + | 1.38382i | ||||
\(589\) | 0.340011 | + | 1.92830i | 0.0140099 | + | 0.0794542i | ||||
\(590\) | 51.6391 | + | 61.5411i | 2.12595 | + | 2.53361i | ||||
\(591\) | 4.26420 | + | 4.88144i | 0.175406 | + | 0.200796i | ||||
\(592\) | −8.56302 | + | 3.11669i | −0.351938 | + | 0.128095i | ||||
\(593\) | 20.8572 | 0.856502 | 0.428251 | − | 0.903660i | \(-0.359130\pi\) | ||||
0.428251 | + | 0.903660i | \(0.359130\pi\) | |||||||
\(594\) | 26.8142 | − | 25.3719i | 1.10020 | − | 1.04102i | ||||
\(595\) | 23.7027 | + | 9.59466i | 0.971714 | + | 0.393343i | ||||
\(596\) | 9.46251 | + | 25.9980i | 0.387599 | + | 1.06492i | ||||
\(597\) | −3.76734 | + | 0.741781i | −0.154187 | + | 0.0303591i | ||||
\(598\) | −3.48412 | − | 4.15221i | −0.142476 | − | 0.169796i | ||||
\(599\) | 15.9702 | − | 2.81598i | 0.652526 | − | 0.115058i | 0.162421 | − | 0.986722i | \(-0.448070\pi\) |
0.490105 | + | 0.871664i | \(0.336959\pi\) | |||||||
\(600\) | 15.4071 | + | 8.49153i | 0.628993 | + | 0.346665i | ||||
\(601\) | −22.4423 | + | 26.7456i | −0.915439 | + | 1.09098i | 0.0801156 | + | 0.996786i | \(0.474471\pi\) |
−0.995554 | + | 0.0941916i | \(0.969973\pi\) | |||||||
\(602\) | −27.2193 | − | 34.8864i | −1.10938 | − | 1.42186i | ||||
\(603\) | −15.2329 | − | 24.1166i | −0.620331 | − | 0.982106i | ||||
\(604\) | 29.9156 | + | 51.8154i | 1.21725 | + | 2.10834i | ||||
\(605\) | 0.321459 | − | 1.82308i | 0.0130692 | − | 0.0741189i | ||||
\(606\) | −27.5097 | + | 34.1406i | −1.11750 | + | 1.38687i | ||||
\(607\) | −1.32209 | + | 3.63240i | −0.0536618 | + | 0.147435i | −0.963628 | − | 0.267249i | \(-0.913885\pi\) |
0.909966 | + | 0.414683i | \(0.136108\pi\) | |||||||
\(608\) | 27.5144 | + | 10.0144i | 1.11586 | + | 0.406138i | ||||
\(609\) | 39.0051 | − | 21.7110i | 1.58057 | − | 0.879776i | ||||
\(610\) | 5.95161 | − | 33.7532i | 0.240973 | − | 1.36663i | ||||
\(611\) | 27.2433 | − | 15.7289i | 1.10215 | − | 0.636325i | ||||
\(612\) | 13.5705 | + | 21.4848i | 0.548557 | + | 0.868473i | ||||
\(613\) | −1.60472 | + | 2.77946i | −0.0648142 | + | 0.112261i | −0.896612 | − | 0.442818i | \(-0.853979\pi\) |
0.831797 | + | 0.555079i | \(0.187312\pi\) | |||||||
\(614\) | 7.90388 | + | 6.63214i | 0.318975 | + | 0.267651i | ||||
\(615\) | −5.31686 | + | 9.64696i | −0.214396 | + | 0.389003i | ||||
\(616\) | 3.29172 | − | 15.4363i | 0.132627 | − | 0.621948i | ||||
\(617\) | −3.37702 | − | 4.02458i | −0.135954 | − | 0.162024i | 0.693772 | − | 0.720195i | \(-0.255948\pi\) |
−0.829726 | + | 0.558171i | \(0.811503\pi\) | |||||||
\(618\) | 13.1316 | + | 66.6925i | 0.528231 | + | 2.68276i | ||||
\(619\) | 9.02167 | + | 24.7868i | 0.362611 | + | 0.996267i | 0.978103 | + | 0.208123i | \(0.0667355\pi\) |
−0.615491 | + | 0.788144i | \(0.711042\pi\) | |||||||
\(620\) | − | 4.45996i | − | 0.179116i | ||||||
\(621\) | −1.01847 | + | 3.42005i | −0.0408698 | + | 0.137242i | ||||
\(622\) | − | 0.340529i | − | 0.0136540i | ||||||
\(623\) | 18.4185 | + | 0.655329i | 0.737920 | + | 0.0262552i | ||||
\(624\) | 6.60430 | + | 7.56028i | 0.264384 | + | 0.302653i | ||||
\(625\) | −17.0527 | + | 14.3089i | −0.682107 | + | 0.572356i | ||||
\(626\) | −9.26377 | − | 52.5375i | −0.370255 | − | 2.09982i | ||||
\(627\) | 11.6838 | + | 19.3388i | 0.466607 | + | 0.772316i | ||||
\(628\) | −18.5856 | + | 22.1494i | −0.741645 | + | 0.883858i | ||||
\(629\) | 8.41299 | − | 14.5717i | 0.335448 | − | 0.581013i | ||||
\(630\) | 19.5730 | + | 53.0831i | 0.779808 | + | 2.11488i | ||||
\(631\) | −21.3850 | − | 37.0399i | −0.851324 | − | 1.47454i | −0.880013 | − | 0.474949i | \(-0.842467\pi\) |
0.0286891 | − | 0.999588i | \(-0.490867\pi\) | |||||||
\(632\) | 12.0148 | + | 2.11853i | 0.477922 | + | 0.0842706i | ||||
\(633\) | −0.908597 | + | 5.82808i | −0.0361135 | + | 0.231646i | ||||
\(634\) | 11.5509 | + | 4.20417i | 0.458743 | + | 0.166969i | ||||
\(635\) | −44.9087 | − | 16.3454i | −1.78215 | − | 0.648649i | ||||
\(636\) | 5.53154 | + | 14.3064i | 0.219340 | + | 0.567285i | ||||
\(637\) | −14.7347 | − | 20.3369i | −0.583812 | − | 0.805777i | ||||
\(638\) | −59.9340 | + | 34.6029i | −2.37281 | + | 1.36994i | ||||
\(639\) | −9.18341 | − | 1.24526i | −0.363290 | − | 0.0492617i | ||||
\(640\) | −37.8133 | − | 21.8315i | −1.49470 | − | 0.862967i | ||||
\(641\) | −0.504295 | + | 0.600995i | −0.0199185 | + | 0.0237379i | −0.775912 | − | 0.630842i | \(-0.782710\pi\) |
0.755993 | + | 0.654579i | \(0.227154\pi\) | |||||||
\(642\) | −11.3939 | + | 0.226519i | −0.449680 | + | 0.00893997i | ||||
\(643\) | 10.7345 | − | 1.89279i | 0.423329 | − | 0.0746443i | 0.0420745 | − | 0.999114i | \(-0.486603\pi\) |
0.381254 | + | 0.924470i | \(0.375492\pi\) | |||||||
\(644\) | 1.59120 | + | 4.90821i | 0.0627022 | + | 0.193411i | ||||
\(645\) | −40.3731 | − | 13.7922i | −1.58969 | − | 0.543066i | ||||
\(646\) | −24.9091 | + | 9.06618i | −0.980037 | + | 0.356704i | ||||
\(647\) | −8.04220 | −0.316172 | −0.158086 | − | 0.987425i | \(-0.550532\pi\) | ||||
−0.158086 | + | 0.987425i | \(0.550532\pi\) | |||||||
\(648\) | −4.42744 | + | 16.0253i | −0.173926 | + | 0.629535i | ||||
\(649\) | − | 36.3964i | − | 1.42868i | ||||||
\(650\) | −40.7785 | + | 14.8422i | −1.59946 | + | 0.582158i | ||||
\(651\) | 1.45435 | − | 1.67902i | 0.0570004 | − | 0.0658059i | ||||
\(652\) | 21.9778 | − | 18.4416i | 0.860717 | − | 0.722228i | ||||
\(653\) | −10.0845 | + | 1.77817i | −0.394638 | + | 0.0695853i | −0.367446 | − | 0.930045i | \(-0.619768\pi\) |
−0.0271920 | + | 0.999630i | \(0.508657\pi\) | |||||||
\(654\) | 0.216156 | + | 10.8726i | 0.00845237 | + | 0.425153i | ||||
\(655\) | −22.6077 | − | 18.9701i | −0.883356 | − | 0.741224i | ||||
\(656\) | 1.58541 | − | 2.74601i | 0.0618998 | − | 0.107214i | ||||
\(657\) | −13.0251 | − | 31.7934i | −0.508157 | − | 1.24038i | ||||
\(658\) | −50.5437 | + | 7.06952i | −1.97040 | + | 0.275599i | ||||
\(659\) | 20.5607 | + | 3.62540i | 0.800930 | + | 0.141226i | 0.559108 | − | 0.829095i | \(-0.311144\pi\) |
0.241822 | + | 0.970321i | \(0.422255\pi\) | |||||||
\(660\) | −18.5596 | − | 48.0012i | −0.722432 | − | 1.86844i | ||||
\(661\) | 1.62538 | − | 4.46570i | 0.0632200 | − | 0.173696i | −0.904061 | − | 0.427404i | \(-0.859428\pi\) |
0.967281 | + | 0.253708i | \(0.0816504\pi\) | |||||||
\(662\) | −6.60517 | + | 18.1476i | −0.256717 | + | 0.705325i | ||||
\(663\) | −18.3147 | − | 2.85526i | −0.711285 | − | 0.110889i | ||||
\(664\) | 31.9313 | + | 5.63035i | 1.23918 | + | 0.218500i | ||||
\(665\) | −34.2944 | + | 4.79674i | −1.32988 | + | 0.186009i | ||||
\(666\) | 36.3766 | − | 7.91667i | 1.40957 | − | 0.306765i | ||||
\(667\) | 3.34496 | − | 5.79363i | 0.129517 | − | 0.224330i | ||||
\(668\) | −27.6970 | − | 23.2406i | −1.07163 | − | 0.899204i | ||||
\(669\) | −7.10528 | + | 4.29277i | −0.274706 | + | 0.165968i | ||||
\(670\) | −66.7448 | + | 11.7689i | −2.57857 | + | 0.454672i | ||||
\(671\) | −11.8950 | + | 9.98110i | −0.459202 | + | 0.385316i | ||||
\(672\) | −10.8699 | − | 31.3881i | −0.419314 | − | 1.21082i | ||||
\(673\) | 30.7990 | − | 11.2099i | 1.18721 | − | 0.432110i | 0.328469 | − | 0.944515i | \(-0.393467\pi\) |
0.858744 | + | 0.512404i | \(0.171245\pi\) | |||||||
\(674\) | − | 38.2834i | − | 1.47462i | ||||||
\(675\) | 22.9411 | + | 17.0272i | 0.883005 | + | 0.655376i | ||||
\(676\) | −0.364961 | −0.0140370 | ||||||||
\(677\) | 3.36060 | − | 1.22316i | 0.129158 | − | 0.0470098i | −0.276632 | − | 0.960976i | \(-0.589218\pi\) |
0.405791 | + | 0.913966i | \(0.366996\pi\) | |||||||
\(678\) | 2.60738 | + | 13.2423i | 0.100136 | + | 0.508567i | ||||
\(679\) | 2.05313 | + | 6.33307i | 0.0787919 | + | 0.243041i | ||||
\(680\) | 17.5827 | − | 3.10031i | 0.674268 | − | 0.118892i | ||||
\(681\) | −7.11797 | + | 12.9149i | −0.272761 | + | 0.494901i | ||||
\(682\) | −2.21356 | + | 2.63802i | −0.0847615 | + | 0.101015i | ||||
\(683\) | −6.89711 | − | 3.98205i | −0.263910 | − | 0.152369i | 0.362207 | − | 0.932098i | \(-0.382023\pi\) |
−0.626117 | + | 0.779729i | \(0.715357\pi\) | |||||||
\(684\) | −30.4626 | − | 16.0082i | −1.16476 | − | 0.612089i | ||||
\(685\) | 28.1508 | − | 16.2529i | 1.07559 | − | 0.620991i | ||||
\(686\) | 9.77860 | + | 39.5525i | 0.373349 | + | 1.51012i | ||||
\(687\) | −24.3927 | + | 30.2723i | −0.930639 | + | 1.15496i | ||||
\(688\) | 11.5406 | + | 4.20044i | 0.439982 | + | 0.160140i | ||||
\(689\) | −10.5136 | − | 3.82662i | −0.400535 | − | 0.145783i | ||||
\(690\) | 6.60211 | + | 5.31983i | 0.251338 | + | 0.202522i | ||||
\(691\) | 10.8617 | + | 1.91522i | 0.413200 | + | 0.0728583i | 0.376384 | − | 0.926464i | \(-0.377167\pi\) |
0.0368159 | + | 0.999322i | \(0.488278\pi\) | |||||||
\(692\) | −10.2402 | − | 17.7366i | −0.389275 | − | 0.674244i | ||||
\(693\) | 8.66567 | − | 24.1228i | 0.329182 | − | 0.916351i | ||||
\(694\) | 3.09929 | − | 5.36814i | 0.117648 | − | 0.203772i | ||||
\(695\) | 8.48739 | − | 10.1149i | 0.321945 | − | 0.383679i | ||||
\(696\) | 15.0447 | − | 27.2972i | 0.570267 | − | 1.03470i | ||||
\(697\) | 1.01667 | + | 5.76583i | 0.0385092 | + | 0.218397i | ||||
\(698\) | −35.8792 | + | 30.1062i | −1.35805 | + | 1.13954i | ||||
\(699\) | 9.37441 | − | 1.84580i | 0.354573 | − | 0.0698147i | ||||
\(700\) | 41.2828 | + | 1.46884i | 1.56035 | + | 0.0555171i | ||||
\(701\) | − | 38.5950i | − | 1.45771i | −0.684665 | − | 0.728857i | \(-0.740052\pi\) | ||
0.684665 | − | 0.728857i | \(-0.259948\pi\) | |||||||
\(702\) | −22.5861 | − | 34.2317i | −0.852457 | − | 1.29199i | ||||
\(703\) | 22.7858i | 0.859381i | ||||||||
\(704\) | 14.0441 | + | 38.5859i | 0.529308 | + | 1.45426i | ||||
\(705\) | −37.0592 | + | 32.3732i | −1.39573 | + | 1.21924i | ||||
\(706\) | −31.1672 | − | 37.1436i | −1.17299 | − | 1.39792i | ||||
\(707\) | −6.34919 | + | 29.7742i | −0.238786 | + | 1.11977i | ||||
\(708\) | 28.6659 | + | 47.4471i | 1.07733 | + | 1.78317i | ||||
\(709\) | 25.2492 | + | 21.1866i | 0.948253 | + | 0.795679i | 0.979002 | − | 0.203848i | \(-0.0653450\pi\) |
−0.0307495 | + | 0.999527i | \(0.509789\pi\) | |||||||
\(710\) | −11.0097 | + | 19.0694i | −0.413188 | + | 0.715662i | ||||
\(711\) | 18.8727 | + | 6.03107i | 0.707780 | + | 0.226183i | ||||
\(712\) | 11.1442 | − | 6.43408i | 0.417645 | − | 0.241127i | ||||
\(713\) | 0.0578058 | − | 0.327833i | 0.00216484 | − | 0.0122774i | ||||
\(714\) | 25.8039 | + | 15.4426i | 0.965686 | + | 0.577923i | ||||
\(715\) | 35.2754 | + | 12.8392i | 1.31923 | + | 0.480159i | ||||
\(716\) | −6.89064 | + | 18.9319i | −0.257515 | + | 0.707517i | ||||
\(717\) | −17.2861 | − | 44.7075i | −0.645562 | − | 1.66963i | ||||
\(718\) | −7.77207 | + | 44.0776i | −0.290051 | + | 1.64496i | ||||
\(719\) | −9.13910 | − | 15.8294i | −0.340831 | − | 0.590336i | 0.643756 | − | 0.765231i | \(-0.277375\pi\) |
−0.984587 | + | 0.174894i | \(0.944042\pi\) | |||||||
\(720\) | −12.4208 | − | 9.60755i | −0.462896 | − | 0.358052i | ||||
\(721\) | 29.0329 | + | 37.2109i | 1.08124 | + | 1.38581i | ||||
\(722\) | −3.79368 | + | 4.52114i | −0.141186 | + | 0.168259i | ||||
\(723\) | −0.0239110 | − | 1.20272i | −0.000889260 | − | 0.0447297i | ||||
\(724\) | −14.4294 | + | 2.54430i | −0.536266 | + | 0.0945582i | ||||
\(725\) | −34.4277 | − | 41.0293i | −1.27861 | − | 1.52379i | ||||
\(726\) | 0.703783 | − | 2.06015i | 0.0261199 | − | 0.0764593i | ||||
\(727\) | −13.0156 | − | 35.7602i | −0.482723 | − | 1.32627i | −0.907150 | − | 0.420808i | \(-0.861746\pi\) |
0.424426 | − | 0.905462i | \(-0.360476\pi\) | |||||||
\(728\) | −16.2537 | − | 6.57935i | −0.602400 | − | 0.243847i | ||||
\(729\) | −10.6219 | + | 24.8229i | −0.393403 | + | 0.919366i | ||||
\(730\) | −81.6346 | −3.02143 | ||||||||
\(731\) | −21.3093 | + | 7.75594i | −0.788151 | + | 0.286864i | ||||
\(732\) | 7.64544 | − | 22.3801i | 0.282583 | − | 0.827192i | ||||
\(733\) | −12.2043 | − | 14.5445i | −0.450776 | − | 0.537214i | 0.492020 | − | 0.870584i | \(-0.336259\pi\) |
−0.942796 | + | 0.333370i | \(0.891814\pi\) | |||||||
\(734\) | 9.15008 | + | 51.8927i | 0.337736 | + | 1.91539i | ||||
\(735\) | 28.7602 | + | 26.7598i | 1.06084 | + | 0.987051i | ||||
\(736\) | −3.81335 | − | 3.19978i | −0.140562 | − | 0.117945i | ||||
\(737\) | 26.5915 | + | 15.3526i | 0.979511 | + | 0.565521i | ||||
\(738\) | −7.92563 | + | 10.2464i | −0.291747 | + | 0.377175i | ||||
\(739\) | −0.674129 | − | 1.16763i | −0.0247982 | − | 0.0429518i | 0.853360 | − | 0.521322i | \(-0.174561\pi\) |
−0.878158 | + | 0.478370i | \(0.841228\pi\) | |||||||
\(740\) | 9.01243 | − | 51.1120i | 0.331304 | − | 1.87892i | ||||
\(741\) | 23.4123 | − | 9.05234i | 0.860072 | − | 0.332546i | ||||
\(742\) | 13.4811 | + | 12.1545i | 0.494905 | + | 0.446205i | ||||
\(743\) | −14.7521 | + | 40.5311i | −0.541203 | + | 1.48694i | 0.304091 | + | 0.952643i | \(0.401647\pi\) |
−0.845295 | + | 0.534301i | \(0.820575\pi\) | |||||||
\(744\) | 0.238907 | − | 1.53244i | 0.00875875 | − | 0.0561820i | ||||
\(745\) | 31.0878 | + | 5.48162i | 1.13897 | + | 0.200831i | ||||
\(746\) | 35.1477 | − | 20.2925i | 1.28685 | − | 0.742962i | ||||
\(747\) | 50.1573 | + | 16.0286i | 1.83516 | + | 0.586455i | ||||
\(748\) | −23.6896 | − | 13.6772i | −0.866179 | − | 0.500089i | ||||
\(749\) | −6.98912 | + | 3.71028i | −0.255377 | + | 0.135571i | ||||
\(750\) | 5.26474 | − | 3.18077i | 0.192241 | − | 0.116145i | ||||
\(751\) | −1.49167 | − | 8.45970i | −0.0544319 | − | 0.308699i | 0.945421 | − | 0.325852i | \(-0.105651\pi\) |
−0.999853 | + | 0.0171527i | \(0.994540\pi\) | |||||||
\(752\) | 10.8510 | − | 9.10508i | 0.395696 | − | 0.332028i | ||||
\(753\) | −5.59285 | + | 4.88565i | −0.203815 | + | 0.178043i | ||||
\(754\) | 26.2963 | + | 72.2484i | 0.957654 | + | 2.63113i | ||||
\(755\) | 68.2672 | 2.48450 | ||||||||
\(756\) | 7.70247 | + | 38.2721i | 0.280136 | + | 1.39194i | ||||
\(757\) | 42.8160 | 1.55618 | 0.778088 | − | 0.628156i | \(-0.216190\pi\) | ||||
0.778088 | + | 0.628156i | \(0.216190\pi\) | |||||||
\(758\) | 10.7533 | + | 29.5446i | 0.390579 | + | 1.07311i | ||||
\(759\) | −0.742093 | − | 3.76892i | −0.0269363 | − | 0.136803i | ||||
\(760\) | −18.5213 | + | 15.5412i | −0.671840 | + | 0.563740i | ||||
\(761\) | −7.33501 | − | 41.5989i | −0.265894 | − | 1.50796i | −0.766477 | − | 0.642271i | \(-0.777992\pi\) |
0.500583 | − | 0.865688i | \(-0.333119\pi\) | |||||||
\(762\) | −49.2219 | − | 27.1283i | −1.78312 | − | 0.982756i | ||||
\(763\) | 3.54055 | + | 6.66939i | 0.128176 | + | 0.241448i | ||||
\(764\) | −9.79804 | − | 5.65690i | −0.354481 | − | 0.204659i | ||||
\(765\) | 28.9718 | − | 1.15242i | 1.04748 | − | 0.0416658i | ||||
\(766\) | −43.5474 | + | 25.1421i | −1.57343 | + | 0.908421i | ||||
\(767\) | −39.8208 | − | 7.02148i | −1.43784 | − | 0.253531i | ||||
\(768\) | −5.68511 | − | 4.58093i | −0.205144 | − | 0.165300i | ||||
\(769\) | −7.08056 | + | 19.4537i | −0.255331 | + | 0.701517i | 0.744109 | + | 0.668059i | \(0.232874\pi\) |
−0.999440 | + | 0.0334587i | \(0.989348\pi\) | |||||||
\(770\) | −45.2321 | − | 40.7811i | −1.63005 | − | 1.46965i | ||||
\(771\) | −13.3807 | − | 10.7819i | −0.481895 | − | 0.388300i | ||||
\(772\) | −3.75116 | + | 21.2739i | −0.135007 | + | 0.765663i | ||||
\(773\) | 5.17350 | + | 8.96077i | 0.186078 | + | 0.322296i | 0.943939 | − | 0.330119i | \(-0.107089\pi\) |
−0.757861 | + | 0.652416i | \(0.773756\pi\) | |||||||
\(774\) | −44.4142 | − | 23.3398i | −1.59643 | − | 0.838933i | ||||
\(775\) | −2.30809 | − | 1.33257i | −0.0829089 | − | 0.0478675i | ||||
\(776\) | 3.56088 | + | 2.98793i | 0.127828 | + | 0.107261i | ||||
\(777\) | 20.0600 | − | 16.3030i | 0.719648 | − | 0.584867i | ||||
\(778\) | 0.934487 | + | 5.29974i | 0.0335030 | + | 0.190005i | ||||
\(779\) | −5.09637 | − | 6.07362i | −0.182597 | − | 0.217610i | ||||
\(780\) | −56.0979 | + | 11.0456i | −2.00863 | + | 0.395495i | ||||
\(781\) | 9.37431 | − | 3.41197i | 0.335439 | − | 0.122090i | ||||
\(782\) | 4.50662 | 0.161156 | ||||||||
\(783\) | 30.1675 | − | 40.6455i | 1.07810 | − | 1.45255i | ||||
\(784\) | −8.12419 | − | 7.86614i | −0.290150 | − | 0.280933i | ||||
\(785\) | 11.2835 | + | 31.0012i | 0.402726 | + | 1.10648i | ||||
\(786\) | −22.8332 | − | 26.1383i | −0.814432 | − | 0.932322i | ||||
\(787\) | −23.3874 | − | 27.8721i | −0.833673 | − | 0.993532i | −0.999972 | − | 0.00745697i | \(-0.997626\pi\) |
0.166300 | − | 0.986075i | \(-0.446818\pi\) | |||||||
\(788\) | 10.4653 | − | 1.84531i | 0.372810 | − | 0.0657364i | ||||
\(789\) | −6.65664 | + | 4.02171i | −0.236983 | + | 0.143177i | ||||
\(790\) | 30.2595 | − | 36.0619i | 1.07658 | − | 1.28302i | ||||
\(791\) | 5.76471 | + | 7.38851i | 0.204969 | + | 0.262705i | ||||
\(792\) | −3.80579 | − | 17.4874i | −0.135233 | − | 0.621386i | ||||
\(793\) | 8.62543 | + | 14.9397i | 0.306298 | + | 0.530524i | ||||
\(794\) | −5.18640 | + | 29.4135i | −0.184058 | + | 1.04385i | ||||
\(795\) | 17.2923 | + | 2.69587i | 0.613296 | + | 0.0956126i | ||||
\(796\) | −2.15307 | + | 5.91552i | −0.0763136 | + | 0.209670i | ||||
\(797\) | −3.95939 | − | 1.44110i | −0.140249 | − | 0.0510464i | 0.270942 | − | 0.962596i | \(-0.412665\pi\) |
−0.411191 | + | 0.911549i | \(0.634887\pi\) | |||||||
\(798\) | −40.7182 | − | 0.638794i | −1.44141 | − | 0.0226130i | ||||
\(799\) | −4.54178 | + | 25.7577i | −0.160677 | + | 0.911242i | ||||
\(800\) | −34.5146 | + | 19.9270i | −1.22028 | + | 0.704527i | ||||
\(801\) | 19.3379 | − | 7.92232i | 0.683271 | − | 0.279922i | ||||
\(802\) | −20.9840 | + | 36.3453i | −0.740970 | + | 1.28340i | ||||
\(803\) | 28.3319 | + | 23.7733i | 0.999810 | + | 0.838940i | ||||
\(804\) | −46.7570 | + | 0.929565i | −1.64899 | + | 0.0327832i | ||||
\(805\) | 5.75774 | + | 1.22781i | 0.202934 | + | 0.0432745i | ||||
\(806\) | 2.45918 | + | 2.93074i | 0.0866211 | + | 0.103231i | ||||
\(807\) | 5.42070 | + | 1.85181i | 0.190818 | + | 0.0651867i | ||||
\(808\) | 7.27004 | + | 19.9743i | 0.255759 | + | 0.702692i | ||||
\(809\) | − | 41.1433i | − | 1.44652i | −0.690574 | − | 0.723261i | \(-0.742642\pi\) | ||
0.690574 | − | 0.723261i | \(-0.257358\pi\) | |||||||
\(810\) | 45.0092 | + | 45.7126i | 1.58146 | + | 1.60618i | ||||
\(811\) | 25.7104i | 0.902815i | 0.892318 | + | 0.451407i | \(0.149078\pi\) | ||||
−0.892318 | + | 0.451407i | \(0.850922\pi\) | |||||||
\(812\) | 2.60239 | − | 73.1420i | 0.0913260 | − | 2.56678i | ||||
\(813\) | 15.3433 | − | 44.9136i | 0.538112 | − | 1.57519i | ||||
\(814\) | −30.6986 | + | 25.7592i | −1.07598 | + | 0.902858i | ||||
\(815\) | −5.68440 | − | 32.2378i | −0.199116 | − | 1.12924i | ||||
\(816\) | −8.34480 | + | 0.165901i | −0.292126 | + | 0.00580769i | ||||
\(817\) | 19.7394 | − | 23.5245i | 0.690593 | − | 0.823016i | ||||
\(818\) | 36.1292 | − | 62.5775i | 1.26323 | − | 2.18797i | ||||
\(819\) | −24.7207 | − | 14.1347i | −0.863812 | − | 0.493906i | ||||
\(820\) | 9.02967 | + | 15.6398i | 0.315330 | + | 0.546167i | ||||
\(821\) | 34.7029 | + | 6.11906i | 1.21114 | + | 0.213557i | 0.742508 | − | 0.669837i | \(-0.233636\pi\) |
0.468632 | + | 0.883394i | \(0.344747\pi\) | |||||||
\(822\) | 35.6549 | − | 13.7859i | 1.24361 | − | 0.480839i | ||||
\(823\) | −11.0749 | − | 4.03095i | −0.386048 | − | 0.140510i | 0.141703 | − | 0.989909i | \(-0.454742\pi\) |
−0.527751 | + | 0.849399i | \(0.676964\pi\) | |||||||
\(824\) | 30.9663 | + | 11.2708i | 1.07876 | + | 0.392637i | ||||
\(825\) | −30.3866 | − | 4.73726i | −1.05793 | − | 0.164930i | ||||
\(826\) | 55.6089 | + | 34.7992i | 1.93488 | + | 1.21082i | ||||
\(827\) | 4.77748 | − | 2.75828i | 0.166129 | − | 0.0959148i | −0.414630 | − | 0.909990i | \(-0.636089\pi\) |
0.580759 | + | 0.814075i | \(0.302756\pi\) | |||||||
\(828\) | 3.93582 | + | 4.32877i | 0.136779 | + | 0.150435i | ||||
\(829\) | −33.5706 | − | 19.3820i | −1.16595 | − | 0.673164i | −0.213231 | − | 0.977002i | \(-0.568399\pi\) |
−0.952724 | + | 0.303837i | \(0.901732\pi\) | |||||||
\(830\) | 80.4197 | − | 95.8405i | 2.79141 | − | 3.32667i | ||||
\(831\) | −17.9290 | − | 29.6757i | −0.621951 | − | 1.02944i | ||||
\(832\) | 44.9256 | − | 7.92160i | 1.55752 | − | 0.274632i | ||||
\(833\) | 20.8276 | + | 1.48397i | 0.721632 | + | 0.0514165i | ||||
\(834\) | 11.6945 | − | 10.2158i | 0.404947 | − | 0.353743i | ||||
\(835\) | −38.7658 | + | 14.1096i | −1.34155 | + | 0.488283i | ||||
\(836\) | 37.0434 | 1.28117 | ||||||||
\(837\) | 0.718864 | − | 2.41397i | 0.0248476 | − | 0.0834389i | ||||
\(838\) | − | 56.4339i | − | 1.94948i | ||||||
\(839\) | −35.0483 | + | 12.7566i | −1.21000 | + | 0.440405i | −0.866705 | − | 0.498821i | \(-0.833766\pi\) |
−0.343298 | + | 0.939226i | \(0.611544\pi\) | |||||||
\(840\) | 26.9339 | + | 5.18607i | 0.929309 | + | 0.178936i | ||||
\(841\) | −50.4775 | + | 42.3557i | −1.74061 | + | 1.46054i | ||||
\(842\) | 24.9638 | − | 4.40178i | 0.860308 | − | 0.151696i | ||||
\(843\) | −34.7862 | − | 19.1722i | −1.19810 | − | 0.660324i | ||||
\(844\) | 7.40811 | + | 6.21614i | 0.254998 | + | 0.213968i | ||||
\(845\) | −0.208209 | + | 0.360629i | −0.00716262 | + | 0.0124060i | ||||
\(846\) | −48.9264 | + | 30.9036i | −1.68213 | + | 1.06249i | ||||
\(847\) | −0.209393 | − | 1.49706i | −0.00719483 | − | 0.0514396i | ||||
\(848\) | −4.96137 | − | 0.874824i | −0.170374 | − | 0.0300416i | ||||
\(849\) | 24.2190 | − | 30.0567i | 0.831194 | − | 1.03154i | ||||
\(850\) | 12.3402 | − | 33.9045i | 0.423266 | − | 1.16291i | ||||
\(851\) | 1.32493 | − | 3.64022i | 0.0454181 | − | 0.124785i | ||||
\(852\) | −9.53326 | + | 11.8311i | −0.326604 | + | 0.405328i | ||||
\(853\) | 4.83719 | + | 0.852926i | 0.165622 | + | 0.0292036i | 0.255844 | − | 0.966718i | \(-0.417647\pi\) |
−0.0902221 | + | 0.995922i | \(0.528758\pi\) | |||||||
\(854\) | −3.87678 | − | 27.7171i | −0.132661 | − | 0.948460i | ||||
\(855\) | −33.1970 | + | 20.9684i | −1.13532 | + | 0.717103i | ||||
\(856\) | −2.76245 | + | 4.78470i | −0.0944185 | + | 0.163538i | ||||
\(857\) | −9.53580 | − | 8.00148i | −0.325737 | − | 0.273325i | 0.465223 | − | 0.885193i | \(-0.345974\pi\) |
−0.790960 | + | 0.611868i | \(0.790418\pi\) | |||||||
\(858\) | 38.6634 | + | 21.3091i | 1.31995 | + | 0.727480i | ||||
\(859\) | 48.9734 | − | 8.63533i | 1.67095 | − | 0.294634i | 0.743544 | − | 0.668687i | \(-0.233144\pi\) |
0.927407 | + | 0.374054i | \(0.122032\pi\) | |||||||
\(860\) | −53.5831 | + | 44.9615i | −1.82717 | + | 1.53318i | ||||
\(861\) | −1.70064 | + | 8.83233i | −0.0579578 | + | 0.301005i | ||||
\(862\) | 57.0339 | − | 20.7587i | 1.94258 | − | 0.707043i | ||||
\(863\) | 7.82559i | 0.266386i | 0.991090 | + | 0.133193i | \(0.0425230\pi\) | ||||
−0.991090 | + | 0.133193i | \(0.957477\pi\) | |||||||
\(864\) | −25.8869 | − | 27.3585i | −0.880689 | − | 0.930755i | ||||
\(865\) | −23.3681 | −0.794540 | ||||||||
\(866\) | −2.23301 | + | 0.812751i | −0.0758809 | + | 0.0276184i | ||||
\(867\) | −10.5689 | + | 9.23246i | −0.358938 | + | 0.313551i | ||||
\(868\) | −1.12311 | − | 3.46435i | −0.0381210 | − | 0.117588i | ||||
\(869\) | −21.0035 | + | 3.70349i | −0.712496 | + | 0.125632i | ||||
\(870\) | −62.1919 | − | 102.939i | −2.10850 | − | 3.48994i | ||||
\(871\) | 21.9270 | − | 26.1316i | 0.742970 | − | 0.885437i | ||||
\(872\) | 4.56581 | + | 2.63607i | 0.154618 | + | 0.0892687i | ||||
\(873\) | 5.07839 | + | 5.58541i | 0.171877 | + | 0.189038i | ||||
\(874\) | −5.28524 | + | 3.05144i | −0.178776 | + | 0.103216i | ||||
\(875\) | 2.26564 | − | 3.62048i | 0.0765927 | − | 0.122395i | ||||
\(876\) | −55.6579 | − | 8.67704i | −1.88050 | − | 0.293170i | ||||
\(877\) | −38.6291 | − | 14.0598i | −1.30441 | − | 0.474767i | −0.405980 | − | 0.913882i | \(-0.633070\pi\) |
−0.898431 | + | 0.439115i | \(0.855292\pi\) | |||||||
\(878\) | 5.46971 | + | 1.99081i | 0.184594 | + | 0.0671866i | ||||
\(879\) | 22.4668 | − | 8.68677i | 0.757787 | − | 0.292997i | ||||
\(880\) | 16.6465 | + | 2.93524i | 0.561155 | + | 0.0989468i | ||||
\(881\) | 13.4109 | + | 23.2283i | 0.451824 | + | 0.782582i | 0.998499 | − | 0.0547623i | \(-0.0174401\pi\) |
−0.546675 | + | 0.837345i | \(0.684107\pi\) | |||||||
\(882\) | 28.5711 | + | 36.3043i | 0.962040 | + | 1.22243i | ||||
\(883\) | 15.7111 | − | 27.2125i | 0.528722 | − | 0.915773i | −0.470717 | − | 0.882284i | \(-0.656005\pi\) |
0.999439 | − | 0.0334889i | \(-0.0106618\pi\) | |||||||
\(884\) | −19.5342 | + | 23.2799i | −0.657006 | + | 0.782989i | ||||
\(885\) | 63.2378 | − | 1.25721i | 2.12571 | − | 0.0422608i | ||||
\(886\) | 6.18739 | + | 35.0905i | 0.207870 | + | 1.17889i | ||||
\(887\) | −8.61019 | + | 7.22481i | −0.289102 | + | 0.242585i | −0.775791 | − | 0.630990i | \(-0.782649\pi\) |
0.486689 | + | 0.873575i | \(0.338204\pi\) | |||||||
\(888\) | 5.83458 | − | 17.0793i | 0.195796 | − | 0.573143i | ||||
\(889\) | −38.9997 | − | 1.38761i | −1.30801 | − | 0.0465389i | ||||
\(890\) | − | 49.6531i | − | 1.66438i | ||||||
\(891\) | −2.30853 | − | 28.9723i | −0.0773385 | − | 0.970607i | ||||
\(892\) | 13.6102i | 0.455702i | ||||||||
\(893\) | −12.1141 | − | 33.2832i | −0.405382 | − | 1.11378i | ||||
\(894\) | 35.1303 | + | 12.0011i | 1.17493 | + | 0.401378i | ||||
\(895\) | 14.7761 | + | 17.6094i | 0.493910 | + | 0.588619i | ||||
\(896\) | −34.8698 | − | 7.43579i | −1.16492 | − | 0.248412i | ||||
\(897\) | −4.26668 | + | 0.0848249i | −0.142460 | + | 0.00283222i | ||||
\(898\) | −31.9287 | − | 26.7913i | −1.06547 | − | 0.894038i | ||||
\(899\) | −2.36096 | + | 4.08930i | −0.0787424 | + | 0.136386i | ||||
\(900\) | 43.3437 | − | 17.7570i | 1.44479 | − | 0.591899i | ||||
\(901\) | 8.05602 | − | 4.65114i | 0.268385 | − | 0.154952i | ||||
\(902\) | 2.42139 | − | 13.7324i | 0.0806234 | − | 0.457238i | ||||
\(903\) | −34.8336 | − | 0.546475i | −1.15919 | − | 0.0181855i | ||||
\(904\) | 6.14859 | + | 2.23791i | 0.204499 | + | 0.0744316i | ||||
\(905\) | −5.71787 | + | 15.7097i | −0.190068 | + | 0.522209i | ||||
\(906\) | 79.3250 | + | 12.3667i | 2.63540 | + | 0.410858i | ||||
\(907\) | 0.449186 | − | 2.54746i | 0.0149150 | − | 0.0845870i | −0.976442 | − | 0.215781i | \(-0.930770\pi\) |
0.991357 | + | 0.131194i | \(0.0418812\pi\) | |||||||
\(908\) | 12.0885 | + | 20.9379i | 0.401172 | + | 0.694850i | ||||
\(909\) | 7.34074 | + | 33.7303i | 0.243477 | + | 1.11876i | ||||
\(910\) | −53.3440 | + | 41.6204i | −1.76834 | + | 1.37970i | ||||
\(911\) | 12.1000 | − | 14.4203i | 0.400892 | − | 0.477765i | −0.527399 | − | 0.849617i | \(-0.676833\pi\) |
0.928292 | + | 0.371852i | \(0.121277\pi\) | |||||||
\(912\) | 9.67421 | − | 5.84483i | 0.320345 | − | 0.193542i | ||||
\(913\) | −55.8205 | + | 9.84265i | −1.84739 | + | 0.325744i | ||||
\(914\) | 41.0765 | + | 48.9530i | 1.35869 | + | 1.61922i | ||||
\(915\) | −17.7528 | − | 20.3225i | −0.586889 | − | 0.671841i | ||||
\(916\) | 21.8000 | + | 59.8950i | 0.720292 | + | 1.97899i | ||||
\(917\) | −22.3380 | − | 9.04224i | −0.737665 | − | 0.298601i | ||||
\(918\) | 33.8734 | + | 3.90922i | 1.11799 | + | 0.129023i | ||||
\(919\) | −28.9423 | −0.954719 | −0.477359 | − | 0.878708i | \(-0.658406\pi\) | ||||
−0.477359 | + | 0.878708i | \(0.658406\pi\) | |||||||
\(920\) | 3.86262 | − | 1.40588i | 0.127347 | − | 0.0463505i | ||||
\(921\) | 7.97036 | − | 1.56935i | 0.262632 | − | 0.0517118i | ||||
\(922\) | 60.0871 | + | 71.6090i | 1.97886 | + | 2.35832i | ||||
\(923\) | −1.92453 | − | 10.9145i | −0.0633465 | − | 0.359256i | ||||
\(924\) | −26.5042 | − | 32.6120i | −0.871924 | − | 1.07286i | ||||
\(925\) | −23.7583 | − | 19.9356i | −0.781170 | − | 0.655479i | ||||
\(926\) | 25.6973 | + | 14.8363i | 0.844465 | + | 0.487552i | ||||
\(927\) | 47.3735 | + | 24.8950i | 1.55595 | + | 0.817659i | ||||
\(928\) | 35.3053 | + | 61.1505i | 1.15895 | + | 2.00736i | ||||
\(929\) | −2.16578 | + | 12.2827i | −0.0710569 | + | 0.402983i | 0.928446 | + | 0.371467i | \(0.121145\pi\) |
−0.999503 | + | 0.0315170i | \(0.989966\pi\) | |||||||
\(930\) | −4.65995 | − | 3.75488i | −0.152806 | − | 0.123127i | ||||
\(931\) | −25.4308 | + | 12.3620i | −0.833460 | + | 0.405148i | ||||
\(932\) | 5.35757 | − | 14.7198i | 0.175493 | − | 0.482163i | ||||
\(933\) | −0.208765 | − | 0.168218i | −0.00683467 | − | 0.00550722i | ||||
\(934\) | 52.0063 | + | 9.17012i | 1.70170 | + | 0.300055i | ||||
\(935\) | −27.0298 | + | 15.6057i | −0.883969 | + | 0.510360i | ||||
\(936\) | −19.8669 | + | 0.790250i | −0.649369 | + | 0.0258301i | ||||
\(937\) | −36.9165 | − | 21.3137i | −1.20601 | − | 0.696290i | −0.244124 | − | 0.969744i | \(-0.578500\pi\) |
−0.961885 | + | 0.273454i | \(0.911834\pi\) | |||||||
\(938\) | −48.8814 | + | 25.9494i | −1.59603 | + | 0.847279i | ||||
\(939\) | −36.7849 | − | 20.2738i | −1.20043 | − | 0.661610i | ||||
\(940\) | 14.0093 | + | 79.4508i | 0.456934 | + | 2.59140i | ||||
\(941\) | 37.0819 | − | 31.1154i | 1.20884 | − | 1.01433i | 0.209503 | − | 0.977808i | \(-0.432815\pi\) |
0.999333 | − | 0.0365255i | \(-0.0116290\pi\) | |||||||
\(942\) | 7.49526 | + | 38.0667i | 0.244209 | + | 1.24028i | ||||
\(943\) | 0.461024 | + | 1.26665i | 0.0150130 | + | 0.0412479i | ||||
\(944\) | −18.2073 | −0.592596 | ||||||||
\(945\) | 42.2122 | + | 14.2231i | 1.37316 | + | 0.462678i | ||||
\(946\) | 54.0090 | 1.75598 | ||||||||
\(947\) | 9.84660 | + | 27.0533i | 0.319972 | + | 0.879115i | 0.990535 | + | 0.137262i | \(0.0438303\pi\) |
−0.670563 | + | 0.741852i | \(0.733947\pi\) | |||||||
\(948\) | 24.4638 | − | 21.3704i | 0.794546 | − | 0.694078i | ||||
\(949\) | 31.4757 | − | 26.4112i | 1.02174 | − | 0.857345i | ||||
\(950\) | 8.48447 | + | 48.1178i | 0.275273 | + | 1.56115i | ||||
\(951\) | 8.28344 | − | 5.00457i | 0.268609 | − | 0.162284i | ||||
\(952\) | 12.8770 | − | 6.83593i | 0.417345 | − | 0.221554i | ||||
\(953\) | 29.6982 | + | 17.1463i | 0.962020 | + | 0.555422i | 0.896794 | − | 0.442448i | \(-0.145890\pi\) |
0.0652258 | + | 0.997871i | \(0.479223\pi\) | |||||||
\(954\) | 19.6049 | + | 6.26508i | 0.634733 | + | 0.202839i | ||||
\(955\) | −11.1795 | + | 6.45450i | −0.361761 | + | 0.208863i | ||||
\(956\) | −77.3925 | − | 13.6464i | −2.50305 | − | 0.441356i | ||||
\(957\) | −8.39314 | + | 53.8368i | −0.271312 | + | 1.74030i | ||||
\(958\) | −16.8674 | + | 46.3429i | −0.544962 | + | 1.49727i | ||||
\(959\) | 17.7738 | − | 19.7137i | 0.573946 | − | 0.636588i | ||||
\(960\) | −66.5569 | + | 25.7341i | −2.14811 | + | 0.830566i | ||||
\(961\) | 5.34229 | − | 30.2976i | 0.172332 | − | 0.977343i | ||||
\(962\) | 22.2605 | + | 38.5563i | 0.717706 | + | 1.24310i | ||||
\(963\) | −5.48960 | + | 7.09704i | −0.176900 | + | 0.228699i | ||||
\(964\) | −1.70802 | − | 0.986129i | −0.0550118 | − | 0.0317611i | ||||
\(965\) | 18.8814 | + | 15.8433i | 0.607812 | + | 0.510015i | ||||
\(966\) | 6.46794 | + | 2.46971i | 0.208103 | + | 0.0794616i | ||||
\(967\) | −8.18346 | − | 46.4107i | −0.263162 | − | 1.49247i | −0.774218 | − | 0.632919i | \(-0.781856\pi\) |
0.511055 | − | 0.859548i | \(-0.329255\pi\) | |||||||
\(968\) | −0.678426 | − | 0.808517i | −0.0218054 | − | 0.0259867i | ||||
\(969\) | −6.74676 | + | 19.7495i | −0.216737 | + | 0.634444i | ||||
\(970\) | 16.8546 | − | 6.13458i | 0.541170 | − | 0.196970i | ||||
\(971\) | −8.35204 | −0.268030 | −0.134015 | − | 0.990979i | \(-0.542787\pi\) | ||||
−0.134015 | + | 0.990979i | \(0.542787\pi\) | |||||||
\(972\) | 25.8281 | + | 35.9506i | 0.828436 | + | 1.15312i | ||||
\(973\) | 4.04558 | − | 9.99421i | 0.129695 | − | 0.320400i | ||||
\(974\) | −5.17286 | − | 14.2123i | −0.165749 | − | 0.455392i | ||||
\(975\) | −11.0451 | + | 32.3317i | −0.353725 | + | 1.03544i | ||||
\(976\) | 4.99304 | + | 5.95047i | 0.159823 | + | 0.190470i | ||||
\(977\) | 55.1882 | − | 9.73116i | 1.76563 | − | 0.311327i | 0.805855 | − | 0.592113i | \(-0.201706\pi\) |
0.959771 | + | 0.280785i | \(0.0905948\pi\) | |||||||
\(978\) | −0.765198 | − | 38.4894i | −0.0244683 | − | 1.23076i | ||||
\(979\) | −14.4597 | + | 17.2325i | −0.462135 | + | 0.550752i | ||||
\(980\) | 61.9348 | − | 17.6713i | 1.97843 | − | 0.564488i | ||||
\(981\) | 6.77237 | + | 5.23846i | 0.216225 | + | 0.167251i | ||||
\(982\) | 6.53596 | + | 11.3206i | 0.208571 | + | 0.361255i | ||||
\(983\) | −1.87543 | + | 10.6361i | −0.0598170 | + | 0.339239i | −0.999999 | − | 0.00143367i | \(-0.999544\pi\) |
0.940182 | + | 0.340673i | \(0.110655\pi\) | |||||||
\(984\) | 2.26481 | + | 5.85753i | 0.0721994 | + | 0.186731i | ||||
\(985\) | 4.14701 | − | 11.3938i | 0.132135 | − | 0.363037i | ||||
\(986\) | −60.0695 | − | 21.8635i | −1.91300 | − | 0.696276i | ||||
\(987\) | −20.6341 | + | 34.4787i | −0.656790 | + | 1.09747i | ||||
\(988\) | 7.14630 | − | 40.5287i | 0.227354 | − | 1.28939i | ||||
\(989\) | −4.52142 | + | 2.61044i | −0.143773 | + | 0.0830072i | ||||
\(990\) | −65.7791 | − | 21.0208i | −2.09060 | − | 0.668084i | ||||
\(991\) | −5.25786 | + | 9.10688i | −0.167021 | + | 0.289290i | −0.937371 | − | 0.348332i | \(-0.886748\pi\) |
0.770350 | + | 0.637621i | \(0.220082\pi\) | |||||||
\(992\) | 2.69156 | + | 2.25849i | 0.0854572 | + | 0.0717071i | ||||
\(993\) | 7.86268 | + | 13.0141i | 0.249515 | + | 0.412990i | ||||
\(994\) | −3.74990 | + | 17.5850i | −0.118940 | + | 0.557761i | ||||
\(995\) | 4.61699 | + | 5.50231i | 0.146368 | + | 0.174435i | ||||
\(996\) | 65.0166 | − | 56.7954i | 2.06013 | − | 1.79963i | ||||
\(997\) | 19.0094 | + | 52.2279i | 0.602034 | + | 1.65407i | 0.747146 | + | 0.664659i | \(0.231423\pi\) |
−0.145113 | + | 0.989415i | \(0.546354\pi\) | |||||||
\(998\) | − | 20.8146i | − | 0.658874i | ||||||
\(999\) | 13.1163 | − | 26.2119i | 0.414982 | − | 0.829308i |
(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 | 189.2.be.a.20.3 | ✓ | 132 | |
3.2 | odd | 2 | 567.2.be.a.62.19 | 132 | |||
7.6 | odd | 2 | inner | 189.2.be.a.20.4 | yes | 132 | |
21.20 | even | 2 | 567.2.be.a.62.20 | 132 | |||
27.4 | even | 9 | 567.2.be.a.503.20 | 132 | |||
27.23 | odd | 18 | inner | 189.2.be.a.104.4 | yes | 132 | |
189.104 | even | 18 | inner | 189.2.be.a.104.3 | yes | 132 | |
189.139 | odd | 18 | 567.2.be.a.503.19 | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.be.a.20.3 | ✓ | 132 | 1.1 | even | 1 | trivial | |
189.2.be.a.20.4 | yes | 132 | 7.6 | odd | 2 | inner | |
189.2.be.a.104.3 | yes | 132 | 189.104 | even | 18 | inner | |
189.2.be.a.104.4 | yes | 132 | 27.23 | odd | 18 | inner | |
567.2.be.a.62.19 | 132 | 3.2 | odd | 2 | |||
567.2.be.a.62.20 | 132 | 21.20 | even | 2 | |||
567.2.be.a.503.19 | 132 | 189.139 | odd | 18 | |||
567.2.be.a.503.20 | 132 | 27.4 | even | 9 |