Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [400,2,Mod(3,400)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(400, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 15, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("400.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 400 = 2^{4} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 400.bd (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.19401608085\) |
Analytic rank: | \(0\) |
Dimension: | \(464\) |
Relative dimension: | \(58\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 187.29 | ||
Character | \(\chi\) | \(=\) | 400.187 |
Dual form | 400.2.bd.a.323.29 |
$q$-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 \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(177\) | \(351\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{9}{20}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.150704 | − | 1.40616i | −0.106564 | − | 0.994306i | ||||
\(3\) | 0.269711 | + | 0.830084i | 0.155717 | + | 0.479249i | 0.998233 | − | 0.0594231i | \(-0.0189261\pi\) |
−0.842515 | + | 0.538672i | \(0.818926\pi\) | |||||||
\(4\) | −1.95458 | + | 0.423828i | −0.977288 | + | 0.211914i | ||||
\(5\) | −2.21657 | + | 0.294681i | −0.991278 | + | 0.131785i | ||||
\(6\) | 1.12658 | − | 0.504353i | 0.459926 | − | 0.205901i | ||||
\(7\) | 0.0768366 | + | 0.0768366i | 0.0290415 | + | 0.0290415i | 0.721478 | − | 0.692437i | \(-0.243463\pi\) |
−0.692437 | + | 0.721478i | \(0.743463\pi\) | |||||||
\(8\) | 0.890533 | + | 2.68458i | 0.314851 | + | 0.949141i | ||||
\(9\) | 1.81076 | − | 1.31559i | 0.603585 | − | 0.438530i | ||||
\(10\) | 0.748414 | + | 3.07244i | 0.236669 | + | 0.971590i | ||||
\(11\) | 5.02356 | − | 0.795654i | 1.51466 | − | 0.239899i | 0.656912 | − | 0.753967i | \(-0.271862\pi\) |
0.857749 | + | 0.514068i | \(0.171862\pi\) | |||||||
\(12\) | −0.878983 | − | 1.50815i | −0.253740 | − | 0.435366i | ||||
\(13\) | 1.22492 | + | 1.68595i | 0.339730 | + | 0.467599i | 0.944363 | − | 0.328906i | \(-0.106680\pi\) |
−0.604632 | + | 0.796505i | \(0.706680\pi\) | |||||||
\(14\) | 0.0964651 | − | 0.119624i | 0.0257814 | − | 0.0319709i | ||||
\(15\) | −0.842441 | − | 1.76046i | −0.217517 | − | 0.454548i | ||||
\(16\) | 3.64074 | − | 1.65681i | 0.910185 | − | 0.414202i | ||||
\(17\) | 1.70624 | − | 0.869374i | 0.413825 | − | 0.210854i | −0.234667 | − | 0.972076i | \(-0.575400\pi\) |
0.648492 | + | 0.761222i | \(0.275400\pi\) | |||||||
\(18\) | −2.12282 | − | 2.34795i | −0.500354 | − | 0.553417i | ||||
\(19\) | −1.02078 | − | 2.00339i | −0.234183 | − | 0.459610i | 0.743770 | − | 0.668436i | \(-0.233036\pi\) |
−0.977953 | + | 0.208826i | \(0.933036\pi\) | |||||||
\(20\) | 4.20755 | − | 1.51542i | 0.940837 | − | 0.338858i | ||||
\(21\) | −0.0430572 | + | 0.0845045i | −0.00939585 | + | 0.0184404i | ||||
\(22\) | −1.87589 | − | 6.94403i | −0.399941 | − | 1.48047i | ||||
\(23\) | 4.91850 | − | 0.779014i | 1.02558 | − | 0.162436i | 0.379090 | − | 0.925360i | \(-0.376237\pi\) |
0.646488 | + | 0.762924i | \(0.276237\pi\) | |||||||
\(24\) | −1.98824 | + | 1.46328i | −0.405847 | + | 0.298690i | ||||
\(25\) | 4.82633 | − | 1.30636i | 0.965265 | − | 0.261272i | ||||
\(26\) | 2.18612 | − | 1.97651i | 0.428733 | − | 0.387625i | ||||
\(27\) | 3.69876 | + | 2.68731i | 0.711828 | + | 0.517173i | ||||
\(28\) | −0.182749 | − | 0.117618i | −0.0345362 | − | 0.0222276i | ||||
\(29\) | −0.862725 | + | 1.69319i | −0.160204 | + | 0.314418i | −0.957130 | − | 0.289659i | \(-0.906458\pi\) |
0.796926 | + | 0.604077i | \(0.206458\pi\) | |||||||
\(30\) | −2.34853 | + | 1.44992i | −0.428780 | + | 0.264717i | ||||
\(31\) | −5.10949 | − | 1.66017i | −0.917691 | − | 0.298176i | −0.188172 | − | 0.982136i | \(-0.560256\pi\) |
−0.729519 | + | 0.683960i | \(0.760256\pi\) | |||||||
\(32\) | −2.87841 | − | 4.86978i | −0.508836 | − | 0.860863i | ||||
\(33\) | 2.01537 | + | 3.95538i | 0.350831 | + | 0.688544i | ||||
\(34\) | −1.47962 | − | 2.26823i | −0.253752 | − | 0.388999i | ||||
\(35\) | −0.192956 | − | 0.147671i | −0.0326155 | − | 0.0249610i | ||||
\(36\) | −2.98168 | + | 3.33887i | −0.496946 | + | 0.556479i | ||||
\(37\) | 4.25009 | + | 5.84974i | 0.698710 | + | 0.961692i | 0.999967 | + | 0.00814872i | \(0.00259385\pi\) |
−0.301257 | + | 0.953543i | \(0.597406\pi\) | |||||||
\(38\) | −2.66326 | + | 1.73730i | −0.432037 | + | 0.281827i | ||||
\(39\) | −1.06911 | + | 1.47150i | −0.171194 | + | 0.235629i | ||||
\(40\) | −2.76502 | − | 5.68812i | −0.437188 | − | 0.899370i | ||||
\(41\) | 2.41144 | + | 3.31906i | 0.376604 | + | 0.518351i | 0.954681 | − | 0.297632i | \(-0.0961967\pi\) |
−0.578077 | + | 0.815982i | \(0.696197\pi\) | |||||||
\(42\) | 0.125316 | + | 0.0478102i | 0.0193366 | + | 0.00737727i | ||||
\(43\) | 0.756843i | 0.115418i | 0.998333 | + | 0.0577088i | \(0.0183795\pi\) | ||||
−0.998333 | + | 0.0577088i | \(0.981621\pi\) | |||||||
\(44\) | −9.48172 | + | 3.68430i | −1.42942 | + | 0.555428i | ||||
\(45\) | −3.62598 | + | 3.44969i | −0.540529 | + | 0.514249i | ||||
\(46\) | −1.83666 | − | 6.79880i | −0.270800 | − | 1.00243i | ||||
\(47\) | −0.133866 | − | 0.0682083i | −0.0195264 | − | 0.00994920i | 0.444200 | − | 0.895928i | \(-0.353488\pi\) |
−0.463726 | + | 0.885978i | \(0.653488\pi\) | |||||||
\(48\) | 2.35724 | + | 2.57526i | 0.340238 | + | 0.371707i | ||||
\(49\) | − | 6.98819i | − | 0.998313i | ||||||
\(50\) | −2.56430 | − | 6.58972i | −0.362647 | − | 0.931927i | ||||
\(51\) | 1.18185 | + | 1.18185i | 0.165491 | + | 0.165491i | ||||
\(52\) | −3.10875 | − | 2.77617i | −0.431105 | − | 0.384985i | ||||
\(53\) | 3.02145 | + | 9.29908i | 0.415029 | + | 1.27733i | 0.912225 | + | 0.409689i | \(0.134363\pi\) |
−0.497196 | + | 0.867638i | \(0.665637\pi\) | |||||||
\(54\) | 3.22137 | − | 5.60605i | 0.438373 | − | 0.762886i | ||||
\(55\) | −10.9006 | + | 3.24397i | −1.46984 | + | 0.437417i | ||||
\(56\) | −0.137848 | + | 0.274699i | −0.0184207 | + | 0.0367082i | ||||
\(57\) | 1.38767 | − | 1.38767i | 0.183801 | − | 0.183801i | ||||
\(58\) | 2.51092 | + | 0.957959i | 0.329700 | + | 0.125786i | ||||
\(59\) | −2.67972 | − | 0.424426i | −0.348870 | − | 0.0552555i | −0.0204594 | − | 0.999791i | \(-0.506513\pi\) |
−0.328410 | + | 0.944535i | \(0.606513\pi\) | |||||||
\(60\) | 2.39275 | + | 3.08390i | 0.308902 | + | 0.398129i | ||||
\(61\) | 3.20982 | − | 0.508385i | 0.410975 | − | 0.0650920i | 0.0524760 | − | 0.998622i | \(-0.483289\pi\) |
0.358499 | + | 0.933530i | \(0.383289\pi\) | |||||||
\(62\) | −1.56445 | + | 7.43496i | −0.198685 | + | 0.944241i | ||||
\(63\) | 0.240218 | + | 0.0380468i | 0.0302646 | + | 0.00479344i | ||||
\(64\) | −6.41390 | + | 4.78141i | −0.801738 | + | 0.597676i | ||||
\(65\) | −3.21192 | − | 3.37606i | −0.398390 | − | 0.418749i | ||||
\(66\) | 5.25818 | − | 3.43002i | 0.647237 | − | 0.422207i | ||||
\(67\) | −14.2946 | − | 4.64460i | −1.74637 | − | 0.567429i | −0.750718 | − | 0.660623i | \(-0.770292\pi\) |
−0.995648 | + | 0.0931945i | \(0.970292\pi\) | |||||||
\(68\) | −2.96652 | + | 2.42241i | −0.359743 | + | 0.293761i | ||||
\(69\) | 1.97322 | + | 3.87266i | 0.237548 | + | 0.466213i | ||||
\(70\) | −0.178570 | + | 0.293581i | −0.0213432 | + | 0.0350897i | ||||
\(71\) | −2.89014 | − | 8.89495i | −0.342997 | − | 1.05564i | −0.962647 | − | 0.270758i | \(-0.912726\pi\) |
0.619651 | − | 0.784878i | \(-0.287274\pi\) | |||||||
\(72\) | 5.14434 | + | 3.68954i | 0.606267 | + | 0.434816i | ||||
\(73\) | −0.822996 | − | 5.19619i | −0.0963244 | − | 0.608168i | −0.987876 | − | 0.155248i | \(-0.950382\pi\) |
0.891551 | − | 0.452920i | \(-0.149618\pi\) | |||||||
\(74\) | 7.58517 | − | 6.85789i | 0.881759 | − | 0.797213i | ||||
\(75\) | 2.38610 | + | 3.65392i | 0.275523 | + | 0.421918i | ||||
\(76\) | 2.84429 | + | 3.48315i | 0.326262 | + | 0.399545i | ||||
\(77\) | 0.447129 | + | 0.324858i | 0.0509551 | + | 0.0370210i | ||||
\(78\) | 2.23029 | + | 1.28158i | 0.252530 | + | 0.145110i | ||||
\(79\) | −2.66197 | − | 8.19270i | −0.299495 | − | 0.921750i | −0.981674 | − | 0.190566i | \(-0.938968\pi\) |
0.682180 | − | 0.731185i | \(-0.261032\pi\) | |||||||
\(80\) | −7.58171 | + | 4.74528i | −0.847661 | + | 0.530539i | ||||
\(81\) | 0.841845 | − | 2.59093i | 0.0935383 | − | 0.287881i | ||||
\(82\) | 4.30372 | − | 3.89107i | 0.475267 | − | 0.429697i | ||||
\(83\) | −1.83326 | + | 5.64220i | −0.201227 | + | 0.619312i | 0.798621 | + | 0.601835i | \(0.205563\pi\) |
−0.999847 | + | 0.0174773i | \(0.994437\pi\) | |||||||
\(84\) | 0.0483432 | − | 0.183419i | 0.00527467 | − | 0.0200127i | ||||
\(85\) | −3.52581 | + | 2.42982i | −0.382428 | + | 0.263551i | ||||
\(86\) | 1.06424 | − | 0.114059i | 0.114760 | − | 0.0122993i | ||||
\(87\) | −1.63818 | − | 0.259462i | −0.175631 | − | 0.0278172i | ||||
\(88\) | 6.60965 | + | 12.7776i | 0.704591 | + | 1.36210i | ||||
\(89\) | 7.76228 | + | 5.63962i | 0.822800 | + | 0.597799i | 0.917513 | − | 0.397706i | \(-0.130193\pi\) |
−0.0947135 | + | 0.995505i | \(0.530193\pi\) | |||||||
\(90\) | 5.39727 | + | 4.57883i | 0.568922 | + | 0.482651i | ||||
\(91\) | −0.0354245 | + | 0.223661i | −0.00371349 | + | 0.0234461i | ||||
\(92\) | −9.28342 | + | 3.60724i | −0.967863 | + | 0.376081i | ||||
\(93\) | − | 4.68907i | − | 0.486234i | ||||||
\(94\) | −0.0757376 | + | 0.198517i | −0.00781174 | + | 0.0204754i | ||||
\(95\) | 2.85299 | + | 4.13985i | 0.292710 | + | 0.424739i | ||||
\(96\) | 3.26598 | − | 3.70276i | 0.333333 | − | 0.377911i | ||||
\(97\) | −6.81219 | + | 13.3697i | −0.691673 | + | 1.35749i | 0.231399 | + | 0.972859i | \(0.425670\pi\) |
−0.923072 | + | 0.384627i | \(0.874330\pi\) | |||||||
\(98\) | −9.82652 | + | 1.05315i | −0.992629 | + | 0.106384i | ||||
\(99\) | 8.04969 | − | 8.04969i | 0.809025 | − | 0.809025i | ||||
\(100\) | −8.87975 | + | 4.59891i | −0.887975 | + | 0.459891i | ||||
\(101\) | 7.01347 | + | 7.01347i | 0.697866 | + | 0.697866i | 0.963950 | − | 0.266084i | \(-0.0857298\pi\) |
−0.266084 | + | 0.963950i | \(0.585730\pi\) | |||||||
\(102\) | 1.48376 | − | 1.83997i | 0.146914 | − | 0.182184i | ||||
\(103\) | 1.17965 | + | 0.601061i | 0.116234 | + | 0.0592243i | 0.511141 | − | 0.859497i | \(-0.329223\pi\) |
−0.394907 | + | 0.918721i | \(0.629223\pi\) | |||||||
\(104\) | −3.43524 | + | 4.78978i | −0.336853 | + | 0.469676i | ||||
\(105\) | 0.0705372 | − | 0.199998i | 0.00688372 | − | 0.0195178i | ||||
\(106\) | 12.6207 | − | 5.65006i | 1.22583 | − | 0.548782i | ||||
\(107\) | 12.1439 | 1.17400 | 0.586998 | − | 0.809589i | \(-0.300310\pi\) | ||||
0.586998 | + | 0.809589i | \(0.300310\pi\) | |||||||
\(108\) | −8.36848 | − | 3.68491i | −0.805257 | − | 0.354581i | ||||
\(109\) | −3.17080 | − | 0.502206i | −0.303708 | − | 0.0481026i | 0.00272063 | − | 0.999996i | \(-0.499134\pi\) |
−0.306428 | + | 0.951894i | \(0.599134\pi\) | |||||||
\(110\) | 6.20431 | + | 14.8391i | 0.591557 | + | 1.41485i | ||||
\(111\) | −3.70948 | + | 5.10567i | −0.352089 | + | 0.484608i | ||||
\(112\) | 0.407046 | + | 0.152439i | 0.0384622 | + | 0.0144041i | ||||
\(113\) | 1.24750 | − | 7.87640i | 0.117355 | − | 0.740950i | −0.856897 | − | 0.515488i | \(-0.827611\pi\) |
0.974252 | − | 0.225462i | \(-0.0723892\pi\) | |||||||
\(114\) | −2.16041 | − | 1.74216i | −0.202341 | − | 0.163168i | ||||
\(115\) | −10.6726 | + | 3.17612i | −0.995227 | + | 0.296175i | ||||
\(116\) | 0.968639 | − | 3.67512i | 0.0899359 | − | 0.341227i | ||||
\(117\) | 4.43605 | + | 1.44136i | 0.410113 | + | 0.133254i | ||||
\(118\) | −0.192967 | + | 3.83208i | −0.0177640 | + | 0.352771i | ||||
\(119\) | 0.197902 | + | 0.0643022i | 0.0181416 | + | 0.00589457i | ||||
\(120\) | 3.97586 | − | 3.82934i | 0.362945 | − | 0.349570i | ||||
\(121\) | 14.1415 | − | 4.59486i | 1.28559 | − | 0.417714i | ||||
\(122\) | −1.19860 | − | 4.43690i | −0.108516 | − | 0.401698i | ||||
\(123\) | −2.10471 | + | 2.89688i | −0.189775 | + | 0.261203i | ||||
\(124\) | 10.6905 | + | 1.07939i | 0.960037 | + | 0.0969322i | ||||
\(125\) | −10.3129 | + | 4.31786i | −0.922415 | + | 0.386201i | ||||
\(126\) | 0.0172981 | − | 0.343519i | 0.00154104 | − | 0.0306031i | ||||
\(127\) | −4.68707 | + | 0.742359i | −0.415910 | + | 0.0658737i | −0.360883 | − | 0.932611i | \(-0.617525\pi\) |
−0.0550273 | + | 0.998485i | \(0.517525\pi\) | |||||||
\(128\) | 7.69003 | + | 8.29840i | 0.679709 | + | 0.733482i | ||||
\(129\) | −0.628244 | + | 0.204129i | −0.0553138 | + | 0.0179725i | ||||
\(130\) | −4.26324 | + | 5.02527i | −0.373911 | + | 0.440745i | ||||
\(131\) | −15.2487 | + | 7.76958i | −1.33228 | + | 0.678832i | −0.967644 | − | 0.252318i | \(-0.918807\pi\) |
−0.364638 | + | 0.931150i | \(0.618807\pi\) | |||||||
\(132\) | −5.61559 | − | 6.87693i | −0.488775 | − | 0.598560i | ||||
\(133\) | 0.0755007 | − | 0.232367i | 0.00654674 | − | 0.0201488i | ||||
\(134\) | −4.37680 | + | 20.8005i | −0.378098 | + | 1.79689i | ||||
\(135\) | −8.99045 | − | 4.86664i | −0.773775 | − | 0.418854i | ||||
\(136\) | 3.85337 | + | 3.80633i | 0.330423 | + | 0.326390i | ||||
\(137\) | −2.66999 | + | 16.8577i | −0.228113 | + | 1.44025i | 0.561925 | + | 0.827188i | \(0.310061\pi\) |
−0.790038 | + | 0.613058i | \(0.789939\pi\) | |||||||
\(138\) | 5.14821 | − | 3.35829i | 0.438245 | − | 0.285876i | ||||
\(139\) | −2.92083 | − | 18.4414i | −0.247741 | − | 1.56418i | −0.727084 | − | 0.686549i | \(-0.759125\pi\) |
0.479343 | − | 0.877628i | \(-0.340875\pi\) | |||||||
\(140\) | 0.439734 | + | 0.206854i | 0.0371643 | + | 0.0174824i | ||||
\(141\) | 0.0205134 | − | 0.129517i | 0.00172754 | − | 0.0109073i | ||||
\(142\) | −12.0722 | + | 5.40451i | −1.01307 | + | 0.453536i | ||||
\(143\) | 7.49488 | + | 7.49488i | 0.626753 | + | 0.626753i | ||||
\(144\) | 4.41281 | − | 7.78980i | 0.367734 | − | 0.649150i | ||||
\(145\) | 1.41333 | − | 4.00730i | 0.117371 | − | 0.332788i | ||||
\(146\) | −7.18265 | + | 1.94035i | −0.594441 | + | 0.160585i | ||||
\(147\) | 5.80078 | − | 1.88479i | 0.478441 | − | 0.155455i | ||||
\(148\) | −10.7864 | − | 9.63246i | −0.886637 | − | 0.791784i | ||||
\(149\) | 13.6436 | − | 13.6436i | 1.11773 | − | 1.11773i | 0.125656 | − | 0.992074i | \(-0.459896\pi\) |
0.992074 | − | 0.125656i | \(-0.0401036\pi\) | |||||||
\(150\) | 4.77840 | − | 3.90590i | 0.390155 | − | 0.318915i | ||||
\(151\) | −17.2294 | −1.40211 | −0.701054 | − | 0.713108i | \(-0.747287\pi\) | ||||
−0.701054 | + | 0.713108i | \(0.747287\pi\) | |||||||
\(152\) | 4.46922 | − | 4.52445i | 0.362502 | − | 0.366981i | ||||
\(153\) | 1.94585 | − | 3.81894i | 0.157312 | − | 0.308743i | ||||
\(154\) | 0.389419 | − | 0.677693i | 0.0313803 | − | 0.0546100i | ||||
\(155\) | 11.8147 | + | 2.17421i | 0.948983 | + | 0.174637i | ||||
\(156\) | 1.46599 | − | 3.32928i | 0.117373 | − | 0.266556i | ||||
\(157\) | −20.9870 | −1.67494 | −0.837472 | − | 0.546480i | \(-0.815967\pi\) | ||||
−0.837472 | + | 0.546480i | \(0.815967\pi\) | |||||||
\(158\) | −11.1191 | + | 4.97783i | −0.884587 | + | 0.396015i | ||||
\(159\) | −6.90410 | + | 5.01612i | −0.547531 | + | 0.397804i | ||||
\(160\) | 7.81522 | + | 9.94597i | 0.617848 | + | 0.786298i | ||||
\(161\) | 0.437778 | + | 0.318064i | 0.0345017 | + | 0.0250670i | ||||
\(162\) | −3.77014 | − | 0.793306i | −0.296210 | − | 0.0623280i | ||||
\(163\) | 4.23209 | − | 3.07479i | 0.331483 | − | 0.240836i | −0.409577 | − | 0.912276i | \(-0.634324\pi\) |
0.741059 | + | 0.671439i | \(0.234324\pi\) | |||||||
\(164\) | −6.12006 | − | 5.46533i | −0.477896 | − | 0.426770i | ||||
\(165\) | −5.63277 | − | 8.17347i | −0.438511 | − | 0.636304i | ||||
\(166\) | 8.21012 | + | 1.72756i | 0.637229 | + | 0.134085i | ||||
\(167\) | 9.51714 | − | 4.84923i | 0.736458 | − | 0.375244i | −0.0451777 | − | 0.998979i | \(-0.514385\pi\) |
0.781636 | + | 0.623735i | \(0.214385\pi\) | |||||||
\(168\) | −0.265203 | − | 0.0403363i | −0.0204608 | − | 0.00311201i | ||||
\(169\) | 2.67521 | − | 8.23344i | 0.205785 | − | 0.633341i | ||||
\(170\) | 3.94807 | + | 4.59167i | 0.302804 | + | 0.352165i | ||||
\(171\) | −4.48403 | − | 2.28473i | −0.342902 | − | 0.174717i | ||||
\(172\) | −0.320772 | − | 1.47931i | −0.0244586 | − | 0.112796i | ||||
\(173\) | 8.50716 | − | 11.7091i | 0.646787 | − | 0.890226i | −0.352167 | − | 0.935937i | \(-0.614555\pi\) |
0.998955 | + | 0.0457106i | \(0.0145552\pi\) | |||||||
\(174\) | −0.117965 | + | 2.34264i | −0.00894292 | + | 0.177595i | ||||
\(175\) | 0.471215 | + | 0.270462i | 0.0356205 | + | 0.0204450i | ||||
\(176\) | 16.9712 | − | 11.2199i | 1.27926 | − | 0.845729i | ||||
\(177\) | −0.370440 | − | 2.33886i | −0.0278439 | − | 0.175800i | ||||
\(178\) | 6.76041 | − | 11.7649i | 0.506714 | − | 0.881818i | ||||
\(179\) | 13.2628 | + | 6.75774i | 0.991310 | + | 0.505098i | 0.872917 | − | 0.487869i | \(-0.162226\pi\) |
0.118393 | + | 0.992967i | \(0.462226\pi\) | |||||||
\(180\) | 5.62518 | − | 8.27947i | 0.419276 | − | 0.617116i | ||||
\(181\) | −9.56322 | + | 4.87270i | −0.710828 | + | 0.362185i | −0.771723 | − | 0.635959i | \(-0.780605\pi\) |
0.0608944 | + | 0.998144i | \(0.480605\pi\) | |||||||
\(182\) | 0.319842 | + | 0.0161058i | 0.0237083 | + | 0.00119384i | ||||
\(183\) | 1.28772 | + | 2.52730i | 0.0951913 | + | 0.186823i | ||||
\(184\) | 6.47141 | + | 12.5103i | 0.477079 | + | 0.922275i | ||||
\(185\) | −11.1444 | − | 11.7139i | −0.819353 | − | 0.861224i | ||||
\(186\) | −6.59359 | + | 0.706662i | −0.483465 | + | 0.0518149i | ||||
\(187\) | 7.87970 | − | 5.72494i | 0.576221 | − | 0.418649i | ||||
\(188\) | 0.290560 | + | 0.0765820i | 0.0211913 | + | 0.00558532i | ||||
\(189\) | 0.0777168 | + | 0.490684i | 0.00565306 | + | 0.0356920i | ||||
\(190\) | 5.39133 | − | 4.63565i | 0.391128 | − | 0.336305i | ||||
\(191\) | −6.04968 | − | 8.32667i | −0.437739 | − | 0.602496i | 0.531969 | − | 0.846764i | \(-0.321452\pi\) |
−0.969708 | + | 0.244268i | \(0.921452\pi\) | |||||||
\(192\) | −5.69887 | − | 4.03448i | −0.411280 | − | 0.291163i | ||||
\(193\) | 10.2937 | − | 10.2937i | 0.740958 | − | 0.740958i | −0.231805 | − | 0.972762i | \(-0.574463\pi\) |
0.972762 | + | 0.231805i | \(0.0744630\pi\) | |||||||
\(194\) | 19.8265 | + | 7.56418i | 1.42346 | + | 0.543076i | ||||
\(195\) | 1.93613 | − | 3.57673i | 0.138649 | − | 0.256135i | ||||
\(196\) | 2.96179 | + | 13.6590i | 0.211557 | + | 0.975640i | ||||
\(197\) | −18.3748 | + | 5.97035i | −1.30915 | + | 0.425370i | −0.878757 | − | 0.477270i | \(-0.841626\pi\) |
−0.430397 | + | 0.902640i | \(0.641626\pi\) | |||||||
\(198\) | −12.5323 | − | 10.1060i | −0.890631 | − | 0.718205i | ||||
\(199\) | − | 25.4629i | − | 1.80501i | −0.430675 | − | 0.902507i | \(-0.641725\pi\) | ||
0.430675 | − | 0.902507i | \(-0.358275\pi\) | |||||||
\(200\) | 7.80503 | + | 11.7933i | 0.551899 | + | 0.833911i | ||||
\(201\) | − | 13.1184i | − | 0.925303i | ||||||
\(202\) | 8.80511 | − | 10.9190i | 0.619525 | − | 0.768260i | ||||
\(203\) | −0.196388 | + | 0.0638104i | −0.0137837 | + | 0.00447861i | ||||
\(204\) | −2.81091 | − | 1.80911i | −0.196803 | − | 0.126663i | ||||
\(205\) | −6.32318 | − | 6.64631i | −0.441630 | − | 0.464199i | ||||
\(206\) | 0.667411 | − | 1.74936i | 0.0465007 | − | 0.121884i | ||||
\(207\) | 7.88134 | − | 7.88134i | 0.547791 | − | 0.547791i | ||||
\(208\) | 7.25290 | + | 4.10866i | 0.502898 | + | 0.284884i | ||||
\(209\) | −6.72196 | − | 9.25198i | −0.464968 | − | 0.639973i | ||||
\(210\) | −0.291859 | − | 0.0690462i | −0.0201402 | − | 0.00476464i | ||||
\(211\) | 3.89977 | + | 24.6221i | 0.268471 | + | 1.69506i | 0.641406 | + | 0.767201i | \(0.278351\pi\) |
−0.372935 | + | 0.927857i | \(0.621649\pi\) | |||||||
\(212\) | −9.84688 | − | 16.8952i | −0.676286 | − | 1.16037i | ||||
\(213\) | 6.60405 | − | 4.79812i | 0.452502 | − | 0.328762i | ||||
\(214\) | −1.83013 | − | 17.0763i | −0.125105 | − | 1.16731i | ||||
\(215\) | −0.223027 | − | 1.67759i | −0.0152103 | − | 0.114411i | ||||
\(216\) | −3.92042 | + | 12.3228i | −0.266751 | + | 0.838457i | ||||
\(217\) | −0.265034 | − | 0.520158i | −0.0179917 | − | 0.0353106i | ||||
\(218\) | −0.228329 | + | 4.53434i | −0.0154644 | + | 0.307104i | ||||
\(219\) | 4.09130 | − | 2.08462i | 0.276465 | − | 0.140866i | ||||
\(220\) | 19.9312 | − | 10.9606i | 1.34376 | − | 0.738961i | ||||
\(221\) | 3.55573 | + | 1.81173i | 0.239184 | + | 0.121870i | ||||
\(222\) | 7.73842 | + | 4.44669i | 0.519369 | + | 0.298442i | ||||
\(223\) | 2.36051 | + | 14.9037i | 0.158072 | + | 0.998024i | 0.931394 | + | 0.364012i | \(0.118593\pi\) |
−0.773323 | + | 0.634013i | \(0.781407\pi\) | |||||||
\(224\) | 0.153010 | − | 0.595345i | 0.0102234 | − | 0.0397781i | ||||
\(225\) | 7.02066 | − | 8.71497i | 0.468044 | − | 0.580998i | ||||
\(226\) | −11.2635 | − | 0.567180i | −0.749236 | − | 0.0377282i | ||||
\(227\) | −5.32623 | + | 7.33093i | −0.353514 | + | 0.486571i | −0.948327 | − | 0.317293i | \(-0.897226\pi\) |
0.594813 | + | 0.803864i | \(0.297226\pi\) | |||||||
\(228\) | −2.12417 | + | 3.30044i | −0.140677 | + | 0.218577i | ||||
\(229\) | 2.53581 | + | 1.29206i | 0.167571 | + | 0.0853816i | 0.535764 | − | 0.844368i | \(-0.320024\pi\) |
−0.368193 | + | 0.929749i | \(0.620024\pi\) | |||||||
\(230\) | 6.07455 | + | 14.5288i | 0.400544 | + | 0.957998i | ||||
\(231\) | −0.149064 | + | 0.458772i | −0.00980770 | + | 0.0301850i | ||||
\(232\) | −5.31379 | − | 0.808207i | −0.348868 | − | 0.0530614i | ||||
\(233\) | −23.9454 | + | 12.2008i | −1.56871 | + | 0.799299i | −0.999734 | − | 0.0230524i | \(-0.992662\pi\) |
−0.568979 | + | 0.822352i | \(0.692662\pi\) | |||||||
\(234\) | 1.35825 | − | 6.45501i | 0.0887917 | − | 0.421977i | ||||
\(235\) | 0.316823 | + | 0.111740i | 0.0206673 | + | 0.00728913i | ||||
\(236\) | 5.41760 | − | 0.306167i | 0.352656 | − | 0.0199298i | ||||
\(237\) | 6.08266 | − | 4.41931i | 0.395111 | − | 0.287065i | ||||
\(238\) | 0.0605946 | − | 0.287972i | 0.00392776 | − | 0.0186665i | ||||
\(239\) | −13.9267 | − | 10.1184i | −0.900845 | − | 0.654502i | 0.0378381 | − | 0.999284i | \(-0.487953\pi\) |
−0.938683 | + | 0.344782i | \(0.887953\pi\) | |||||||
\(240\) | −5.98385 | − | 5.01360i | −0.386256 | − | 0.323626i | ||||
\(241\) | −22.5148 | + | 16.3580i | −1.45031 | + | 1.05371i | −0.464549 | + | 0.885548i | \(0.653783\pi\) |
−0.985759 | + | 0.168163i | \(0.946217\pi\) | |||||||
\(242\) | −8.59229 | − | 19.1928i | −0.552333 | − | 1.23376i | ||||
\(243\) | 16.0935 | 1.03240 | ||||||||
\(244\) | −6.05836 | + | 2.35409i | −0.387847 | + | 0.150705i | ||||
\(245\) | 2.05929 | + | 15.4898i | 0.131563 | + | 0.989606i | ||||
\(246\) | 4.39067 | + | 2.52299i | 0.279939 | + | 0.160860i | ||||
\(247\) | 2.12725 | − | 4.17497i | 0.135354 | − | 0.265647i | ||||
\(248\) | −0.0933054 | − | 15.1953i | −0.00592490 | − | 0.964900i | ||||
\(249\) | −5.17795 | −0.328139 | ||||||||
\(250\) | 7.62580 | + | 13.8509i | 0.482298 | + | 0.876007i | ||||
\(251\) | −6.59922 | + | 6.59922i | −0.416539 | + | 0.416539i | −0.884009 | − | 0.467470i | \(-0.845166\pi\) |
0.467470 | + | 0.884009i | \(0.345166\pi\) | |||||||
\(252\) | −0.485650 | + | 0.0274458i | −0.0305930 | + | 0.00172892i | ||||
\(253\) | 24.0886 | − | 7.82685i | 1.51444 | − | 0.492070i | ||||
\(254\) | 1.75024 | + | 6.47890i | 0.109820 | + | 0.406522i | ||||
\(255\) | −2.96790 | − | 2.27137i | −0.185857 | − | 0.142239i | ||||
\(256\) | 10.5100 | − | 12.0640i | 0.656873 | − | 0.754001i | ||||
\(257\) | −5.03994 | − | 5.03994i | −0.314383 | − | 0.314383i | 0.532222 | − | 0.846605i | \(-0.321357\pi\) |
−0.846605 | + | 0.532222i | \(0.821357\pi\) | |||||||
\(258\) | 0.381717 | + | 0.852648i | 0.0237646 | + | 0.0530836i | ||||
\(259\) | −0.122912 | + | 0.776037i | −0.00763739 | + | 0.0482206i | ||||
\(260\) | 7.70882 | + | 5.23747i | 0.478081 | + | 0.324814i | ||||
\(261\) | 0.665366 | + | 4.20095i | 0.0411851 | + | 0.260032i | ||||
\(262\) | 13.2233 | + | 20.2712i | 0.816939 | + | 1.25236i | ||||
\(263\) | 1.48872 | − | 9.39942i | 0.0917985 | − | 0.579593i | −0.898318 | − | 0.439346i | \(-0.855210\pi\) |
0.990117 | − | 0.140247i | \(-0.0447897\pi\) | |||||||
\(264\) | −8.82378 | + | 8.93281i | −0.543066 | + | 0.549776i | ||||
\(265\) | −9.43752 | − | 19.7217i | −0.579742 | − | 1.21149i | ||||
\(266\) | −0.338124 | − | 0.0711474i | −0.0207317 | − | 0.00436233i | ||||
\(267\) | −2.58779 | + | 7.96441i | −0.158370 | + | 0.487414i | ||||
\(268\) | 29.9084 | + | 3.01977i | 1.82695 | + | 0.184462i | ||||
\(269\) | −13.8795 | + | 7.07196i | −0.846249 | + | 0.431185i | −0.822658 | − | 0.568536i | \(-0.807510\pi\) |
−0.0235907 | + | 0.999722i | \(0.507510\pi\) | |||||||
\(270\) | −5.48839 | + | 13.3754i | −0.334012 | + | 0.814004i | ||||
\(271\) | 6.72132 | − | 2.18389i | 0.408291 | − | 0.132662i | −0.0976686 | − | 0.995219i | \(-0.531139\pi\) |
0.505959 | + | 0.862557i | \(0.331139\pi\) | |||||||
\(272\) | 4.77160 | − | 5.99208i | 0.289321 | − | 0.363323i | ||||
\(273\) | −0.195212 | + | 0.0309185i | −0.0118148 | + | 0.00187127i | ||||
\(274\) | 24.1069 | + | 1.21392i | 1.45635 | + | 0.0733356i | ||||
\(275\) | 23.2059 | − | 10.4027i | 1.39937 | − | 0.627305i | ||||
\(276\) | −5.49815 | − | 6.73310i | −0.330950 | − | 0.405285i | ||||
\(277\) | −10.4926 | + | 14.4418i | −0.630437 | + | 0.867722i | −0.998060 | − | 0.0622527i | \(-0.980172\pi\) |
0.367623 | + | 0.929975i | \(0.380172\pi\) | |||||||
\(278\) | −25.4914 | + | 6.88634i | −1.52887 | + | 0.413015i | ||||
\(279\) | −11.4361 | + | 3.71583i | −0.684664 | + | 0.222461i | ||||
\(280\) | 0.224601 | − | 0.649510i | 0.0134225 | − | 0.0388157i | ||||
\(281\) | 21.4219 | + | 6.96039i | 1.27792 | + | 0.415222i | 0.867848 | − | 0.496830i | \(-0.165503\pi\) |
0.410074 | + | 0.912052i | \(0.365503\pi\) | |||||||
\(282\) | −0.185213 | − | 0.00932650i | −0.0110293 | − | 0.000555385i | ||||
\(283\) | −6.86643 | − | 2.23104i | −0.408167 | − | 0.132621i | 0.0977350 | − | 0.995212i | \(-0.468840\pi\) |
−0.505902 | + | 0.862591i | \(0.668840\pi\) | |||||||
\(284\) | 9.41893 | + | 16.1609i | 0.558911 | + | 0.958975i | ||||
\(285\) | −2.66694 | + | 3.48478i | −0.157976 | + | 0.206420i | ||||
\(286\) | 9.40950 | − | 11.6685i | 0.556395 | − | 0.689974i | ||||
\(287\) | −0.0697386 | + | 0.440312i | −0.00411654 | + | 0.0259908i | ||||
\(288\) | −11.6187 | − | 5.03116i | −0.684641 | − | 0.296464i | ||||
\(289\) | −7.83690 | + | 10.7866i | −0.460994 | + | 0.634504i | ||||
\(290\) | −5.84791 | − | 1.38346i | −0.343401 | − | 0.0812395i | ||||
\(291\) | −12.9353 | − | 2.04875i | −0.758279 | − | 0.120100i | ||||
\(292\) | 3.81090 | + | 9.80755i | 0.223016 | + | 0.573943i | ||||
\(293\) | −13.9764 | −0.816507 | −0.408254 | − | 0.912869i | \(-0.633862\pi\) | ||||
−0.408254 | + | 0.912869i | \(0.633862\pi\) | |||||||
\(294\) | −3.52452 | − | 7.87279i | −0.205554 | − | 0.459151i | ||||
\(295\) | 6.06484 | + | 0.151105i | 0.353109 | + | 0.00879767i | ||||
\(296\) | −11.9192 | + | 16.6191i | −0.692792 | + | 0.965964i | ||||
\(297\) | 20.7192 | + | 10.5569i | 1.20225 | + | 0.612576i | ||||
\(298\) | −21.2413 | − | 17.1290i | −1.23047 | − | 0.992256i | ||||
\(299\) | 7.33813 | + | 7.33813i | 0.424375 | + | 0.424375i | ||||
\(300\) | −6.21245 | − | 6.13056i | −0.358676 | − | 0.353948i | ||||
\(301\) | −0.0581533 | + | 0.0581533i | −0.00335190 | + | 0.00335190i | ||||
\(302\) | 2.59654 | + | 24.2273i | 0.149414 | + | 1.39412i | ||||
\(303\) | −3.93016 | + | 7.71337i | −0.225782 | + | 0.443122i | ||||
\(304\) | −7.03563 | − | 5.60259i | −0.403521 | − | 0.321331i | ||||
\(305\) | −6.96496 | + | 2.07274i | −0.398812 | + | 0.118685i | ||||
\(306\) | −5.66329 | − | 2.16065i | −0.323749 | − | 0.123516i | ||||
\(307\) | − | 13.4019i | − | 0.764884i | −0.923979 | − | 0.382442i | \(-0.875083\pi\) | ||
0.923979 | − | 0.382442i | \(-0.124917\pi\) | |||||||
\(308\) | −1.01163 | − | 0.445455i | −0.0576431 | − | 0.0253821i | ||||
\(309\) | −0.180767 | + | 1.14132i | −0.0102835 | + | 0.0649274i | ||||
\(310\) | 1.27677 | − | 16.9411i | 0.0725154 | − | 0.962189i | ||||
\(311\) | 0.691984 | + | 0.502756i | 0.0392388 | + | 0.0285087i | 0.607232 | − | 0.794525i | \(-0.292280\pi\) |
−0.567993 | + | 0.823033i | \(0.692280\pi\) | |||||||
\(312\) | −4.90244 | − | 1.55968i | −0.277546 | − | 0.0882997i | ||||
\(313\) | 17.4821 | + | 2.76889i | 0.988146 | + | 0.156507i | 0.629528 | − | 0.776978i | \(-0.283248\pi\) |
0.358618 | + | 0.933484i | \(0.383248\pi\) | |||||||
\(314\) | 3.16282 | + | 29.5111i | 0.178488 | + | 1.66541i | ||||
\(315\) | −0.543670 | − | 0.0135455i | −0.0306324 | − | 0.000763202i | ||||
\(316\) | 8.67532 | + | 14.8850i | 0.488025 | + | 0.837349i | ||||
\(317\) | 1.47738 | − | 4.54692i | 0.0829782 | − | 0.255381i | −0.900957 | − | 0.433909i | \(-0.857134\pi\) |
0.983935 | + | 0.178529i | \(0.0571338\pi\) | |||||||
\(318\) | 8.09395 | + | 8.95232i | 0.453886 | + | 0.502021i | ||||
\(319\) | −2.98676 | + | 9.19230i | −0.167226 | + | 0.514670i | ||||
\(320\) | 12.8078 | − | 12.4884i | 0.715980 | − | 0.698121i | ||||
\(321\) | 3.27534 | + | 10.0805i | 0.182812 | + | 0.562636i | ||||
\(322\) | 0.381274 | − | 0.663519i | 0.0212476 | − | 0.0369765i | ||||
\(323\) | −3.48340 | − | 2.53083i | −0.193821 | − | 0.140819i | ||||
\(324\) | −0.547341 | + | 5.42097i | −0.0304078 | + | 0.301165i | ||||
\(325\) | 8.11430 | + | 6.53677i | 0.450101 | + | 0.362595i | ||||
\(326\) | −4.96144 | − | 5.48761i | −0.274789 | − | 0.303931i | ||||
\(327\) | −0.438326 | − | 2.76748i | −0.0242395 | − | 0.153042i | ||||
\(328\) | −6.76281 | + | 9.42943i | −0.373414 | + | 0.520653i | ||||
\(329\) | −0.00504494 | − | 0.0155267i | −0.000278136 | − | 0.000856016i | ||||
\(330\) | −10.6443 | + | 9.15236i | −0.585952 | + | 0.503821i | ||||
\(331\) | 8.02630 | + | 15.7525i | 0.441166 | + | 0.865836i | 0.999348 | + | 0.0361176i | \(0.0114991\pi\) |
−0.558182 | + | 0.829719i | \(0.688501\pi\) | |||||||
\(332\) | 1.19193 | − | 11.8051i | 0.0654156 | − | 0.647889i | ||||
\(333\) | 15.3917 | + | 5.00108i | 0.843462 | + | 0.274057i | ||||
\(334\) | −8.25306 | − | 12.6518i | −0.451587 | − | 0.692277i | ||||
\(335\) | 33.0536 | + | 6.08271i | 1.80591 | + | 0.332334i | ||||
\(336\) | −0.0167522 | + | 0.378996i | −0.000913908 | + | 0.0206759i | ||||
\(337\) | 13.2742 | + | 2.10242i | 0.723090 | + | 0.114526i | 0.507122 | − | 0.861874i | \(-0.330709\pi\) |
0.215968 | + | 0.976400i | \(0.430709\pi\) | |||||||
\(338\) | −11.9807 | − | 2.52096i | −0.651664 | − | 0.137122i | ||||
\(339\) | 6.87454 | − | 1.08882i | 0.373374 | − | 0.0591366i | ||||
\(340\) | 5.86164 | − | 6.24361i | 0.317892 | − | 0.338607i | ||||
\(341\) | −26.9888 | − | 4.27460i | −1.46152 | − | 0.231483i | ||||
\(342\) | −2.53693 | + | 6.64958i | −0.137182 | + | 0.359568i | ||||
\(343\) | 1.07481 | − | 1.07481i | 0.0580340 | − | 0.0580340i | ||||
\(344\) | −2.03180 | + | 0.673994i | −0.109548 | + | 0.0363393i | ||||
\(345\) | −5.51497 | − | 8.00253i | −0.296916 | − | 0.430842i | ||||
\(346\) | −17.7469 | − | 10.1978i | −0.954081 | − | 0.548239i | ||||
\(347\) | −0.106287 | − | 0.327118i | −0.00570578 | − | 0.0175606i | 0.948163 | − | 0.317784i | \(-0.102939\pi\) |
−0.953869 | + | 0.300224i | \(0.902939\pi\) | |||||||
\(348\) | 3.31191 | − | 0.187168i | 0.177537 | − | 0.0100332i | ||||
\(349\) | 22.7334 | + | 22.7334i | 1.21689 | + | 1.21689i | 0.968714 | + | 0.248179i | \(0.0798323\pi\) |
0.248179 | + | 0.968714i | \(0.420168\pi\) | |||||||
\(350\) | 0.309299 | − | 0.703364i | 0.0165328 | − | 0.0375964i | ||||
\(351\) | 9.52767i | 0.508549i | ||||||||
\(352\) | −18.3346 | − | 22.1734i | −0.977235 | − | 1.18185i | ||||
\(353\) | −19.5305 | − | 9.95129i | −1.03950 | − | 0.529654i | −0.151005 | − | 0.988533i | \(-0.548251\pi\) |
−0.888499 | + | 0.458879i | \(0.848251\pi\) | |||||||
\(354\) | −3.23299 | + | 0.873374i | −0.171832 | + | 0.0464193i | ||||
\(355\) | 9.02736 | + | 18.8646i | 0.479123 | + | 1.00123i | ||||
\(356\) | −17.5622 | − | 7.73321i | −0.930794 | − | 0.409859i | ||||
\(357\) | 0.181618i | 0.00961224i | ||||||||
\(358\) | 7.50372 | − | 19.6681i | 0.396584 | − | 1.03949i | ||||
\(359\) | 11.5387 | + | 15.8817i | 0.608990 | + | 0.838203i | 0.996494 | − | 0.0836650i | \(-0.0266626\pi\) |
−0.387504 | + | 0.921868i | \(0.626663\pi\) | |||||||
\(360\) | −12.4900 | − | 6.66216i | −0.658281 | − | 0.351126i | ||||
\(361\) | 8.19633 | − | 11.2813i | 0.431386 | − | 0.593751i | ||||
\(362\) | 8.29302 | + | 12.7131i | 0.435871 | + | 0.668185i | ||||
\(363\) | 7.62823 | + | 10.4994i | 0.400378 | + | 0.551073i | ||||
\(364\) | −0.0255541 | − | 0.452177i | −0.00133940 | − | 0.0237005i | ||||
\(365\) | 3.35544 | + | 11.2752i | 0.175632 | + | 0.590170i | ||||
\(366\) | 3.35973 | − | 2.19162i | 0.175616 | − | 0.114558i | ||||
\(367\) | 1.01521 | + | 1.99246i | 0.0529935 | + | 0.104006i | 0.915984 | − | 0.401214i | \(-0.131412\pi\) |
−0.862991 | + | 0.505219i | \(0.831412\pi\) | |||||||
\(368\) | 16.6163 | − | 10.9852i | 0.866184 | − | 0.572643i | ||||
\(369\) | 8.73306 | + | 2.83754i | 0.454625 | + | 0.147717i | ||||
\(370\) | −14.7921 | + | 17.4362i | −0.769007 | + | 0.906463i | ||||
\(371\) | −0.482352 | + | 0.946668i | −0.0250424 | + | 0.0491486i | ||||
\(372\) | 1.98736 | + | 9.16515i | 0.103040 | + | 0.475191i | ||||
\(373\) | −25.1149 | − | 18.2471i | −1.30040 | − | 0.944797i | −0.300443 | − | 0.953800i | \(-0.597134\pi\) |
−0.999959 | + | 0.00900257i | \(0.997134\pi\) | |||||||
\(374\) | −9.23768 | − | 10.2174i | −0.477669 | − | 0.528327i | ||||
\(375\) | −6.36569 | − | 7.39601i | −0.328723 | − | 0.381928i | ||||
\(376\) | 0.0638980 | − | 0.420116i | 0.00329529 | − | 0.0216658i | ||||
\(377\) | −3.91141 | + | 0.619506i | −0.201448 | + | 0.0319062i | ||||
\(378\) | 0.678269 | − | 0.183230i | 0.0348864 | − | 0.00942435i | ||||
\(379\) | 1.77063 | − | 3.47505i | 0.0909510 | − | 0.178501i | −0.841050 | − | 0.540958i | \(-0.818062\pi\) |
0.932001 | + | 0.362456i | \(0.118062\pi\) | |||||||
\(380\) | −7.33096 | − | 6.88247i | −0.376071 | − | 0.353063i | ||||
\(381\) | −1.88037 | − | 3.69044i | −0.0963344 | − | 0.189067i | ||||
\(382\) | −10.7969 | + | 9.76168i | −0.552419 | + | 0.499451i | ||||
\(383\) | −23.0519 | + | 11.7455i | −1.17790 | + | 0.600168i | −0.929619 | − | 0.368522i | \(-0.879864\pi\) |
−0.248276 | + | 0.968689i | \(0.579864\pi\) | |||||||
\(384\) | −4.81429 | + | 8.62153i | −0.245678 | + | 0.439966i | ||||
\(385\) | −1.08682 | − | 0.588309i | −0.0553895 | − | 0.0299830i | ||||
\(386\) | −16.0259 | − | 12.9233i | −0.815698 | − | 0.657779i | ||||
\(387\) | 0.995697 | + | 1.37046i | 0.0506141 | + | 0.0696643i | ||||
\(388\) | 7.64851 | − | 29.0193i | 0.388294 | − | 1.47323i | ||||
\(389\) | 9.02710 | − | 1.42975i | 0.457692 | − | 0.0724913i | 0.0766684 | − | 0.997057i | \(-0.475572\pi\) |
0.381023 | + | 0.924565i | \(0.375572\pi\) | |||||||
\(390\) | −5.32123 | − | 2.18348i | −0.269451 | − | 0.110565i | ||||
\(391\) | 7.71490 | − | 5.60520i | 0.390159 | − | 0.283467i | ||||
\(392\) | 18.7603 | − | 6.22322i | 0.947540 | − | 0.314320i | ||||
\(393\) | −10.5621 | − | 10.5621i | −0.532789 | − | 0.532789i | ||||
\(394\) | 11.1644 | + | 24.9382i | 0.562456 | + | 1.25637i | ||||
\(395\) | 8.31466 | + | 17.3752i | 0.418356 | + | 0.874242i | ||||
\(396\) | −12.3221 | + | 19.1454i | −0.619207 | + | 0.962094i | ||||
\(397\) | −9.39705 | − | 28.9212i | −0.471625 | − | 1.45151i | −0.850456 | − | 0.526046i | \(-0.823674\pi\) |
0.378832 | − | 0.925466i | \(-0.376326\pi\) | |||||||
\(398\) | −35.8049 | + | 3.83735i | −1.79474 | + | 0.192349i | ||||
\(399\) | 0.213248 | 0.0106757 | ||||||||
\(400\) | 15.4070 | − | 12.7524i | 0.770350 | − | 0.637621i | ||||
\(401\) | 1.05726 | 0.0527971 | 0.0263985 | − | 0.999651i | \(-0.491596\pi\) | ||||
0.0263985 | + | 0.999651i | \(0.491596\pi\) | |||||||
\(402\) | −18.4466 | + | 1.97700i | −0.920034 | + | 0.0986038i | ||||
\(403\) | −3.45972 | − | 10.6479i | −0.172341 | − | 0.530411i | ||||
\(404\) | −16.6809 | − | 10.7359i | −0.829904 | − | 0.534129i | ||||
\(405\) | −1.10251 | + | 5.99105i | −0.0547839 | + | 0.297698i | ||||
\(406\) | 0.119324 | + | 0.266537i | 0.00592196 | + | 0.0132280i | ||||
\(407\) | 26.0050 | + | 26.0050i | 1.28902 | + | 1.28902i | ||||
\(408\) | −2.12028 | + | 4.22523i | −0.104970 | + | 0.209180i | ||||
\(409\) | −31.2054 | + | 22.6720i | −1.54301 | + | 1.12106i | −0.594592 | + | 0.804027i | \(0.702687\pi\) |
−0.948415 | + | 0.317033i | \(0.897313\pi\) | |||||||
\(410\) | −8.39286 | + | 9.89303i | −0.414494 | + | 0.488582i | ||||
\(411\) | −14.7134 | + | 2.33037i | −0.725758 | + | 0.114949i | ||||
\(412\) | −2.56046 | − | 0.674852i | −0.126145 | − | 0.0332476i | ||||
\(413\) | −0.173289 | − | 0.238512i | −0.00852700 | − | 0.0117364i | ||||
\(414\) | −12.2702 | − | 9.89468i | −0.603046 | − | 0.486297i | ||||
\(415\) | 2.40090 | − | 13.0465i | 0.117855 | − | 0.640429i | ||||
\(416\) | 4.68440 | − | 10.8179i | 0.229671 | − | 0.530393i | ||||
\(417\) | 14.5201 | − | 7.39836i | 0.711053 | − | 0.362299i | ||||
\(418\) | −11.9968 | + | 10.8465i | −0.586780 | + | 0.530518i | ||||
\(419\) | −8.48780 | − | 16.6582i | −0.414656 | − | 0.813809i | −0.999995 | − | 0.00302006i | \(-0.999039\pi\) |
0.585339 | − | 0.810788i | \(-0.300961\pi\) | |||||||
\(420\) | −0.0531056 | + | 0.420807i | −0.00259129 | + | 0.0205333i | ||||
\(421\) | 9.52389 | − | 18.6917i | 0.464166 | − | 0.910977i | −0.533700 | − | 0.845674i | \(-0.679199\pi\) |
0.997866 | − | 0.0653027i | \(-0.0208013\pi\) | |||||||
\(422\) | 34.0350 | − | 9.19435i | 1.65680 | − | 0.447574i | ||||
\(423\) | −0.332133 | + | 0.0526047i | −0.0161489 | + | 0.00255773i | ||||
\(424\) | −22.2734 | + | 16.3925i | −1.08169 | + | 0.796089i | ||||
\(425\) | 7.09917 | − | 6.42485i | 0.344360 | − | 0.311651i | ||||
\(426\) | −7.74219 | − | 8.56326i | −0.375110 | − | 0.414891i | ||||
\(427\) | 0.285694 | + | 0.207569i | 0.0138257 | + | 0.0100450i | ||||
\(428\) | −23.7362 | + | 5.14693i | −1.14733 | + | 0.248786i | ||||
\(429\) | −4.19993 | + | 8.24282i | −0.202774 | + | 0.397967i | ||||
\(430\) | −2.32535 | + | 0.566433i | −0.112139 | + | 0.0273158i | ||||
\(431\) | 6.11937 | + | 1.98830i | 0.294760 | + | 0.0957732i | 0.452664 | − | 0.891681i | \(-0.350474\pi\) |
−0.157904 | + | 0.987454i | \(0.550474\pi\) | |||||||
\(432\) | 17.9186 | + | 3.65565i | 0.862109 | + | 0.175882i | ||||
\(433\) | 4.29091 | + | 8.42139i | 0.206208 | + | 0.404706i | 0.970829 | − | 0.239775i | \(-0.0770735\pi\) |
−0.764620 | + | 0.644481i | \(0.777074\pi\) | |||||||
\(434\) | −0.691484 | + | 0.451070i | −0.0331923 | + | 0.0216521i | ||||
\(435\) | 3.70759 | + | 0.0923742i | 0.177765 | + | 0.00442900i | ||||
\(436\) | 6.41042 | − | 0.362275i | 0.307004 | − | 0.0173498i | ||||
\(437\) | −6.58137 | − | 9.05848i | −0.314830 | − | 0.433326i | ||||
\(438\) | −3.54789 | − | 5.43887i | −0.169525 | − | 0.259879i | ||||
\(439\) | −20.4736 | + | 28.1794i | −0.977150 | + | 1.34493i | −0.0387985 | + | 0.999247i | \(0.512353\pi\) |
−0.938351 | + | 0.345684i | \(0.887647\pi\) | |||||||
\(440\) | −18.4160 | − | 26.3746i | −0.877950 | − | 1.25736i | ||||
\(441\) | −9.19360 | − | 12.6539i | −0.437791 | − | 0.602567i | ||||
\(442\) | 2.01173 | − | 5.27296i | 0.0956880 | − | 0.250809i | ||||
\(443\) | − | 6.29717i | − | 0.299187i | −0.988748 | − | 0.149594i | \(-0.952203\pi\) | ||
0.988748 | − | 0.149594i | \(-0.0477966\pi\) | |||||||
\(444\) | 5.08654 | − | 11.5516i | 0.241397 | − | 0.548215i | ||||
\(445\) | −18.8675 | − | 10.2132i | −0.894405 | − | 0.484152i | ||||
\(446\) | 20.6012 | − | 5.56530i | 0.975497 | − | 0.263525i | ||||
\(447\) | 15.0052 | + | 7.64553i | 0.709721 | + | 0.361621i | ||||
\(448\) | −0.860210 | − | 0.125435i | −0.0406411 | − | 0.00592626i | ||||
\(449\) | 4.36106i | 0.205811i | 0.994691 | + | 0.102906i | \(0.0328140\pi\) | ||||
−0.994691 | + | 0.102906i | \(0.967186\pi\) | |||||||
\(450\) | −13.3127 | − | 8.55880i | −0.627566 | − | 0.403466i | ||||
\(451\) | 14.7549 | + | 14.7549i | 0.694779 | + | 0.694779i | ||||
\(452\) | 0.899907 | + | 15.9238i | 0.0423281 | + | 0.748991i | ||||
\(453\) | −4.64695 | − | 14.3018i | −0.218333 | − | 0.671959i | ||||
\(454\) | 11.1111 | + | 6.38474i | 0.521472 | + | 0.299651i | ||||
\(455\) | 0.0126119 | − | 0.506199i | 0.000591255 | − | 0.0237310i | ||||
\(456\) | 4.96107 | + | 2.48954i | 0.232323 | + | 0.116583i | ||||
\(457\) | −9.82371 | + | 9.82371i | −0.459534 | + | 0.459534i | −0.898502 | − | 0.438968i | \(-0.855344\pi\) |
0.438968 | + | 0.898502i | \(0.355344\pi\) | |||||||
\(458\) | 1.43468 | − | 3.76047i | 0.0670384 | − | 0.175715i | ||||
\(459\) | 8.64727 | + | 1.36959i | 0.403620 | + | 0.0639271i | ||||
\(460\) | 19.5143 | − | 10.7313i | 0.909860 | − | 0.500351i | ||||
\(461\) | −23.6324 | + | 3.74300i | −1.10067 | + | 0.174329i | −0.680235 | − | 0.732994i | \(-0.738122\pi\) |
−0.420434 | + | 0.907323i | \(0.638122\pi\) | |||||||
\(462\) | 0.667572 | + | 0.140469i | 0.0310583 | + | 0.00653523i | ||||
\(463\) | 28.2909 | + | 4.48083i | 1.31479 | + | 0.208242i | 0.774144 | − | 0.633010i | \(-0.218181\pi\) |
0.540644 | + | 0.841252i | \(0.318181\pi\) | |||||||
\(464\) | −0.335659 | + | 7.59385i | −0.0155826 | + | 0.352535i | ||||
\(465\) | 1.38178 | + | 10.3936i | 0.0640785 | + | 0.481993i | ||||
\(466\) | 20.7649 | + | 31.8323i | 0.961916 | + | 1.47460i | ||||
\(467\) | −1.04174 | − | 0.338483i | −0.0482061 | − | 0.0156631i | 0.284815 | − | 0.958583i | \(-0.408068\pi\) |
−0.333021 | + | 0.942919i | \(0.608068\pi\) | |||||||
\(468\) | −9.28148 | − | 0.937125i | −0.429037 | − | 0.0433186i | ||||
\(469\) | −0.741475 | − | 1.45523i | −0.0342381 | − | 0.0671961i | ||||
\(470\) | 0.109378 | − | 0.462344i | 0.00504524 | − | 0.0213263i | ||||
\(471\) | −5.66041 | − | 17.4210i | −0.260818 | − | 0.802716i | ||||
\(472\) | −1.24697 | − | 7.57188i | −0.0573967 | − | 0.348524i | ||||
\(473\) | 0.602186 | + | 3.80205i | 0.0276885 | + | 0.174819i | ||||
\(474\) | −7.13095 | − | 7.88720i | −0.327535 | − | 0.362271i | ||||
\(475\) | −7.54377 | − | 8.33552i | −0.346132 | − | 0.382460i | ||||
\(476\) | −0.414067 | − | 0.0418072i | −0.0189787 | − | 0.00191623i | ||||
\(477\) | 17.7049 | + | 12.8634i | 0.810652 | + | 0.588973i | ||||
\(478\) | −12.1292 | + | 21.1081i | −0.554778 | + | 0.965461i | ||||
\(479\) | −6.42394 | − | 19.7709i | −0.293517 | − | 0.903354i | −0.983715 | − | 0.179733i | \(-0.942477\pi\) |
0.690198 | − | 0.723621i | \(-0.257523\pi\) | |||||||
\(480\) | −6.14814 | + | 9.16982i | −0.280623 | + | 0.418543i | ||||
\(481\) | −4.65639 | + | 14.3309i | −0.212313 | + | 0.653432i | ||||
\(482\) | 26.3950 | + | 29.1943i | 1.20226 | + | 1.32976i | ||||
\(483\) | −0.145947 | + | 0.449177i | −0.00664080 | + | 0.0204383i | ||||
\(484\) | −25.6932 | + | 14.9746i | −1.16787 | + | 0.680662i | ||||
\(485\) | 11.1599 | − | 31.6422i | 0.506744 | − | 1.43680i | ||||
\(486\) | −2.42536 | − | 22.6301i | −0.110016 | − | 1.02652i | ||||
\(487\) | 31.1023 | + | 4.92612i | 1.40938 | + | 0.223224i | 0.814301 | − | 0.580443i | \(-0.197121\pi\) |
0.595079 | + | 0.803667i | \(0.297121\pi\) | |||||||
\(488\) | 4.22325 | + | 8.16426i | 0.191177 | + | 0.369579i | ||||
\(489\) | 3.69377 | + | 2.68368i | 0.167038 | + | 0.121360i | ||||
\(490\) | 21.4708 | − | 5.23006i | 0.969951 | − | 0.236270i | ||||
\(491\) | 1.32316 | − | 8.35413i | 0.0597136 | − | 0.377017i | −0.939676 | − | 0.342067i | \(-0.888873\pi\) |
0.999389 | − | 0.0349495i | \(-0.0111270\pi\) | |||||||
\(492\) | 2.88603 | − | 6.55422i | 0.130112 | − | 0.295487i | ||||
\(493\) | 3.63903i | 0.163894i | ||||||||
\(494\) | −6.19127 | − | 2.36208i | −0.278558 | − | 0.106275i | ||||
\(495\) | −15.4706 | + | 20.2148i | −0.695351 | + | 0.908586i | ||||
\(496\) | −21.3529 | + | 2.42119i | −0.958774 | + | 0.108715i | ||||
\(497\) | 0.461389 | − | 0.905526i | 0.0206961 | − | 0.0406184i | ||||
\(498\) | 0.780338 | + | 7.28103i | 0.0349678 | + | 0.326271i | ||||
\(499\) | −2.24492 | + | 2.24492i | −0.100497 | + | 0.100497i | −0.755567 | − | 0.655071i | \(-0.772639\pi\) |
0.655071 | + | 0.755567i | \(0.272639\pi\) | |||||||
\(500\) | 18.3273 | − | 12.8105i | 0.819624 | − | 0.572902i | ||||
\(501\) | 6.59214 | + | 6.59214i | 0.294515 | + | 0.294515i | ||||
\(502\) | 10.2741 | + | 8.28504i | 0.458555 | + | 0.369779i | ||||
\(503\) | 8.77500 | + | 4.47109i | 0.391258 | + | 0.199356i | 0.638542 | − | 0.769587i | \(-0.279538\pi\) |
−0.247284 | + | 0.968943i | \(0.579538\pi\) | |||||||
\(504\) | 0.111782 | + | 0.678765i | 0.00497919 | + | 0.0302346i | ||||
\(505\) | −17.6125 | − | 13.4791i | −0.783748 | − | 0.599811i | ||||
\(506\) | −14.6361 | − | 32.6929i | −0.650652 | − | 1.45338i | ||||
\(507\) | 7.55597 | 0.335573 | ||||||||
\(508\) | 8.84661 | − | 3.43751i | 0.392505 | − | 0.152515i | ||||
\(509\) | 38.2710 | + | 6.06153i | 1.69633 | + | 0.268672i | 0.928325 | − | 0.371770i | \(-0.121249\pi\) |
0.768006 | + | 0.640442i | \(0.221249\pi\) | |||||||
\(510\) | −2.74664 | + | 4.51566i | −0.121623 | + | 0.199957i | ||||
\(511\) | 0.336022 | − | 0.462494i | 0.0148647 | − | 0.0204595i | ||||
\(512\) | −18.5478 | − | 12.9606i | −0.819707 | − | 0.572783i | ||||
\(513\) | 1.60811 | − | 10.1532i | 0.0710000 | − | 0.448276i | ||||
\(514\) | −6.32743 | + | 7.84651i | −0.279091 | + | 0.346095i | ||||
\(515\) | −2.79189 | − | 0.984671i | −0.123025 | − | 0.0433898i | ||||
\(516\) | 1.14143 | − | 0.665252i | 0.0502489 | − | 0.0292861i | ||||
\(517\) | −0.726756 | − | 0.236137i | −0.0319627 | − | 0.0103853i | ||||
\(518\) | 1.10976 | + | 0.0558824i | 0.0487599 | + | 0.00245533i | ||||
\(519\) | 12.0140 | + | 3.90359i | 0.527356 | + | 0.171348i | ||||
\(520\) | 6.20298 | − | 11.6292i | 0.272018 | − | 0.509972i | ||||
\(521\) | 27.7476 | − | 9.01573i | 1.21564 | − | 0.394986i | 0.370149 | − | 0.928972i | \(-0.379307\pi\) |
0.845493 | + | 0.533986i | \(0.179307\pi\) | |||||||
\(522\) | 5.80694 | − | 1.56871i | 0.254163 | − | 0.0686606i | ||||
\(523\) | −14.9048 | + | 20.5147i | −0.651740 | + | 0.897043i | −0.999173 | − | 0.0406615i | \(-0.987053\pi\) |
0.347433 | + | 0.937705i | \(0.387053\pi\) | |||||||
\(524\) | 26.5117 | − | 21.6491i | 1.15817 | − | 0.945743i | ||||
\(525\) | −0.0974147 | + | 0.464094i | −0.00425153 | + | 0.0202547i | ||||
\(526\) | −13.4414 | − | 0.676852i | −0.586075 | − | 0.0295122i | ||||
\(527\) | −10.1613 | + | 1.60940i | −0.442635 | + | 0.0701065i | ||||
\(528\) | 13.8907 | + | 11.0614i | 0.604517 | + | 0.481387i | ||||
\(529\) | 1.71047 | − | 0.555766i | 0.0743683 | − | 0.0241637i | ||||
\(530\) | −26.3096 | + | 16.2428i | −1.14281 | + | 0.705542i | ||||
\(531\) | −5.41069 | + | 2.75688i | −0.234804 | + | 0.119639i | ||||
\(532\) | −0.0490881 | + | 0.486179i | −0.00212824 | + | 0.0210785i | ||||
\(533\) | −2.64197 | + | 8.13114i | −0.114436 | + | 0.352199i | ||||
\(534\) | 11.5892 | + | 2.43858i | 0.501515 | + | 0.105528i | ||||
\(535\) | −26.9178 | + | 3.57858i | −1.16376 | + | 0.154715i | ||||
\(536\) | −0.261037 | − | 42.5112i | −0.0112751 | − | 1.83620i | ||||
\(537\) | −2.03237 | + | 12.8319i | −0.0877033 | + | 0.553737i | ||||
\(538\) | 12.0360 | + | 18.4511i | 0.518910 | + | 0.795481i | ||||
\(539\) | −5.56019 | − | 35.1056i | −0.239494 | − | 1.51211i | ||||
\(540\) | 19.6352 | + | 5.70182i | 0.844962 | + | 0.245367i | ||||
\(541\) | 2.44826 | − | 15.4577i | 0.105259 | − | 0.664579i | −0.877484 | − | 0.479605i | \(-0.840780\pi\) |
0.982743 | − | 0.184974i | \(-0.0592201\pi\) | |||||||
\(542\) | −4.08383 | − | 9.12213i | −0.175415 | − | 0.391829i | ||||
\(543\) | −6.62405 | − | 6.62405i | −0.284265 | − | 0.284265i | ||||
\(544\) | −9.14493 | − | 5.80660i | −0.392086 | − | 0.248956i | ||||
\(545\) | 7.17628 | + | 0.178796i | 0.307398 | + | 0.00765879i | ||||
\(546\) | 0.0728956 | + | 0.269840i | 0.00311964 | + | 0.0115481i | ||||
\(547\) | −28.2935 | + | 9.19310i | −1.20974 | + | 0.393069i | −0.843336 | − | 0.537387i | \(-0.819411\pi\) |
−0.366405 | + | 0.930456i | \(0.619411\pi\) | |||||||
\(548\) | −1.92605 | − | 34.0812i | −0.0822766 | − | 1.45588i | ||||
\(549\) | 5.14337 | − | 5.14337i | 0.219514 | − | 0.219514i | ||||
\(550\) | −18.1251 | − | 31.0636i | −0.772855 | − | 1.32456i | ||||
\(551\) | 4.27278 | 0.182027 | ||||||||
\(552\) | −8.63923 | + | 8.74598i | −0.367710 | + | 0.372254i | ||||
\(553\) | 0.424962 | − | 0.834036i | 0.0180712 | − | 0.0354668i | ||||
\(554\) | 21.8887 | + | 12.5778i | 0.929963 | + | 0.534379i | ||||
\(555\) | 6.71777 | − | 12.4102i | 0.285153 | − | 0.526782i | ||||
\(556\) | 13.5250 | + | 34.8071i | 0.573586 | + | 1.47615i | ||||
\(557\) | −28.6264 | −1.21294 | −0.606469 | − | 0.795107i | \(-0.707415\pi\) | ||||
−0.606469 | + | 0.795107i | \(0.707415\pi\) | |||||||
\(558\) | 6.94853 | + | 15.5211i | 0.294155 | + | 0.657059i | ||||
\(559\) | −1.27600 | + | 0.927069i | −0.0539691 | + | 0.0392109i | ||||
\(560\) | −0.947164 | − | 0.217941i | −0.0400250 | − | 0.00920970i | ||||
\(561\) | 6.87742 | + | 4.99673i | 0.290365 | + | 0.210962i | ||||
\(562\) | 6.55906 | − | 31.1716i | 0.276677 | − | 1.31489i | ||||
\(563\) | 25.8001 | − | 18.7449i | 1.08734 | − | 0.790002i | 0.108396 | − | 0.994108i | \(-0.465429\pi\) |
0.978949 | + | 0.204105i | \(0.0654285\pi\) | |||||||
\(564\) | 0.0147977 | + | 0.261844i | 0.000623097 | + | 0.0110256i | ||||
\(565\) | −0.444138 | + | 17.8262i | −0.0186850 | + | 0.749953i | ||||
\(566\) | −2.10240 | + | 9.99153i | −0.0883705 | + | 0.419975i | ||||
\(567\) | 0.263763 | − | 0.134394i | 0.0110770 | − | 0.00564402i | ||||
\(568\) | 21.3054 | − | 15.6801i | 0.893954 | − | 0.657920i | ||||
\(569\) | 5.57299 | − | 17.1519i | 0.233632 | − | 0.719045i | −0.763668 | − | 0.645609i | \(-0.776604\pi\) |
0.997300 | − | 0.0734357i | \(-0.0233964\pi\) | |||||||
\(570\) | 5.30208 | + | 3.22497i | 0.222080 | + | 0.135079i | ||||
\(571\) | −31.4706 | − | 16.0351i | −1.31700 | − | 0.671046i | −0.352672 | − | 0.935747i | \(-0.614727\pi\) |
−0.964331 | + | 0.264701i | \(0.914727\pi\) | |||||||
\(572\) | −17.8259 | − | 11.4728i | −0.745336 | − | 0.479701i | ||||
\(573\) | 5.28017 | − | 7.26753i | 0.220582 | − | 0.303605i | ||||
\(574\) | 0.629660 | + | 0.0317069i | 0.0262815 | + | 0.00132342i | ||||
\(575\) | 22.7206 | − | 10.1851i | 0.947515 | − | 0.424748i | ||||
\(576\) | −5.32363 | + | 17.0960i | −0.221818 | + | 0.712335i | ||||
\(577\) | 5.61485 | + | 35.4508i | 0.233749 | + | 1.47583i | 0.773386 | + | 0.633936i | \(0.218562\pi\) |
−0.539636 | + | 0.841898i | \(0.681438\pi\) | |||||||
\(578\) | 16.3487 | + | 9.39436i | 0.680016 | + | 0.390754i | ||||
\(579\) | 11.3210 | + | 5.76832i | 0.470483 | + | 0.239723i | ||||
\(580\) | −1.06406 | + | 8.43159i | −0.0441828 | + | 0.350103i | ||||
\(581\) | −0.574389 | + | 0.292666i | −0.0238297 | + | 0.0121418i | ||||
\(582\) | −0.931469 | + | 18.4978i | −0.0386106 | + | 0.766760i | ||||
\(583\) | 22.5773 | + | 44.3105i | 0.935057 | + | 1.83515i | ||||
\(584\) | 13.2167 | − | 6.83678i | 0.546910 | − | 0.282908i | ||||
\(585\) | −10.2575 | − | 1.88765i | −0.424097 | − | 0.0780446i | ||||
\(586\) | 2.10629 | + | 19.6530i | 0.0870101 | + | 0.811858i | ||||
\(587\) | −0.990949 | + | 0.719967i | −0.0409008 | + | 0.0297162i | −0.608048 | − | 0.793900i | \(-0.708047\pi\) |
0.567147 | + | 0.823617i | \(0.308047\pi\) | |||||||
\(588\) | −10.5393 | + | 6.14250i | −0.434631 | + | 0.253312i | ||||
\(589\) | 1.88968 | + | 11.9310i | 0.0778630 | + | 0.491608i | ||||
\(590\) | −0.701518 | − | 8.55092i | −0.0288810 | − | 0.352036i | ||||
\(591\) | −9.91178 | − | 13.6424i | −0.407716 | − | 0.561173i | ||||
\(592\) | 25.1654 | + | 14.2558i | 1.03429 | + | 0.585910i | ||||
\(593\) | −8.30474 | + | 8.30474i | −0.341035 | + | 0.341035i | −0.856756 | − | 0.515721i | \(-0.827524\pi\) |
0.515721 | + | 0.856756i | \(0.327524\pi\) | |||||||
\(594\) | 11.7223 | − | 30.7254i | 0.480971 | − | 1.26068i | ||||
\(595\) | −0.457611 | − | 0.0842121i | −0.0187602 | − | 0.00345236i | ||||
\(596\) | −20.8850 | + | 32.4501i | −0.855482 | + | 1.32921i | ||||
\(597\) | 21.1363 | − | 6.86760i | 0.865051 | − | 0.281072i | ||||
\(598\) | 9.21270 | − | 11.4245i | 0.376735 | − | 0.467181i | ||||
\(599\) | 42.5496i | 1.73853i | 0.494346 | + | 0.869265i | \(0.335408\pi\) | ||||
−0.494346 | + | 0.869265i | \(0.664592\pi\) | |||||||
\(600\) | −7.68432 | + | 9.65960i | −0.313711 | + | 0.394351i | ||||
\(601\) | 11.7391i | 0.478849i | 0.970915 | + | 0.239425i | \(0.0769588\pi\) | ||||
−0.970915 | + | 0.239425i | \(0.923041\pi\) | |||||||
\(602\) | 0.0905368 | + | 0.0730090i | 0.00369001 | + | 0.00297562i | ||||
\(603\) | −31.9945 | + | 10.3956i | −1.30292 | + | 0.423343i | ||||
\(604\) | 33.6762 | − | 7.30230i | 1.37026 | − | 0.297126i | ||||
\(605\) | −29.9916 | + | 14.3520i | −1.21933 | + | 0.583493i | ||||
\(606\) | 11.4385 | + | 4.36400i | 0.464659 | + | 0.177275i | ||||
\(607\) | 14.9939 | − | 14.9939i | 0.608585 | − | 0.608585i | −0.333991 | − | 0.942576i | \(-0.608395\pi\) |
0.942576 | + | 0.333991i | \(0.108395\pi\) | |||||||
\(608\) | −6.81785 | + | 10.7376i | −0.276500 | + | 0.435466i | ||||
\(609\) | −0.105936 | − | 0.145808i | −0.00429274 | − | 0.00590845i | ||||
\(610\) | 3.96425 | + | 9.48148i | 0.160508 | + | 0.383894i | ||||
\(611\) | −0.0489790 | − | 0.309241i | −0.00198148 | − | 0.0125106i | ||||
\(612\) | −2.18473 | + | 8.28912i | −0.0883126 | + | 0.335068i | ||||
\(613\) | 35.6008 | − | 25.8655i | 1.43790 | − | 1.04470i | 0.449425 | − | 0.893318i | \(-0.351629\pi\) |
0.988476 | − | 0.151378i | \(-0.0483711\pi\) | |||||||
\(614\) | −18.8452 | + | 2.01971i | −0.760529 | + | 0.0815090i | ||||
\(615\) | 3.81157 | − | 7.04135i | 0.153697 | − | 0.283935i | ||||
\(616\) | −0.473924 | + | 1.48965i | −0.0190949 | + | 0.0600197i | ||||
\(617\) | 11.5183 | + | 22.6060i | 0.463710 | + | 0.910083i | 0.997903 | + | 0.0647204i | \(0.0206156\pi\) |
−0.534193 | + | 0.845363i | \(0.679384\pi\) | |||||||
\(618\) | 1.63212 | + | 0.0821864i | 0.0656536 | + | 0.00330602i | ||||
\(619\) | −23.5912 | + | 12.0203i | −0.948211 | + | 0.483138i | −0.858491 | − | 0.512829i | \(-0.828597\pi\) |
−0.0897204 | + | 0.995967i | \(0.528597\pi\) | |||||||
\(620\) | −24.0143 | + | 0.757751i | −0.964438 | + | 0.0304320i | ||||
\(621\) | 20.2858 | + | 10.3361i | 0.814042 | + | 0.414775i | ||||
\(622\) | 0.602671 | − | 1.04881i | 0.0241649 | − | 0.0420534i | ||||
\(623\) | 0.163097 | + | 1.02976i | 0.00653436 | + | 0.0412563i | ||||
\(624\) | −1.45435 | + | 7.12866i | −0.0582205 | + | 0.285375i | ||||
\(625\) | 21.5868 | − | 12.6098i | 0.863474 | − | 0.504394i | ||||
\(626\) | 1.25889 | − | 24.9999i | 0.0503152 | − | 0.999197i | ||||
\(627\) | 5.86694 | − | 8.07515i | 0.234303 | − | 0.322490i | ||||
\(628\) | 41.0207 | − | 8.89488i | 1.63690 | − | 0.354944i | ||||
\(629\) | 12.3373 | + | 6.28617i | 0.491920 | + | 0.250646i | ||||
\(630\) | 0.0628862 | + | 0.766529i | 0.00250544 | + | 0.0305393i | ||||
\(631\) | 6.27795 | − | 19.3216i | 0.249921 | − | 0.769179i | −0.744867 | − | 0.667214i | \(-0.767487\pi\) |
0.994788 | − | 0.101966i | \(-0.0325131\pi\) | |||||||
\(632\) | 19.6234 | − | 14.4421i | 0.780575 | − | 0.574477i | ||||
\(633\) | −19.3866 | + | 9.87799i | −0.770550 | + | 0.392615i | ||||
\(634\) | −6.61635 | − | 1.39220i | −0.262769 | − | 0.0552914i | ||||
\(635\) | 10.1704 | − | 3.02668i | 0.403602 | − | 0.120110i | ||||
\(636\) | 11.3686 | − | 12.7305i | 0.450795 | − | 0.504799i | ||||
\(637\) | 11.7818 | − | 8.55995i | 0.466810 | − | 0.339157i | ||||
\(638\) | 13.3760 | + | 2.81455i | 0.529559 | + | 0.111429i | ||||
\(639\) | −16.9355 | − | 12.3043i | −0.669956 | − | 0.486752i | ||||
\(640\) | −19.4908 | − | 16.1278i | −0.770443 | − | 0.637509i | ||||
\(641\) | 23.4493 | − | 17.0369i | 0.926192 | − | 0.672918i | −0.0188653 | − | 0.999822i | \(-0.506005\pi\) |
0.945058 | + | 0.326904i | \(0.106005\pi\) | |||||||
\(642\) | 13.6811 | − | 6.12482i | 0.539951 | − | 0.241727i | ||||
\(643\) | −49.3538 | −1.94632 | −0.973162 | − | 0.230122i | \(-0.926087\pi\) | ||||
−0.973162 | + | 0.230122i | \(0.926087\pi\) | |||||||
\(644\) | −0.990474 | − | 0.436138i | −0.0390302 | − | 0.0171862i | ||||
\(645\) | 1.33239 | − | 0.637596i | 0.0524628 | − | 0.0251053i | ||||
\(646\) | −3.03380 | + | 5.27962i | −0.119363 | + | 0.207724i | ||||
\(647\) | 14.9495 | − | 29.3400i | 0.587724 | − | 1.15347i | −0.385305 | − | 0.922789i | \(-0.625904\pi\) |
0.973029 | − | 0.230683i | \(-0.0740962\pi\) | |||||||
\(648\) | 7.70525 | − | 0.0473135i | 0.302691 | − | 0.00185865i | ||||
\(649\) | −13.7994 | −0.541675 | ||||||||
\(650\) | 7.96890 | − | 12.3951i | 0.312566 | − | 0.486177i | ||||
\(651\) | 0.360292 | − | 0.360292i | 0.0141210 | − | 0.0141210i | ||||
\(652\) | −6.96876 | + | 7.80359i | −0.272918 | + | 0.305612i | ||||
\(653\) | 10.0531 | − | 3.26645i | 0.393408 | − | 0.127826i | −0.105631 | − | 0.994405i | \(-0.533686\pi\) |
0.499039 | + | 0.866579i | \(0.333686\pi\) | |||||||
\(654\) | −3.82547 | + | 1.03343i | −0.149588 | + | 0.0404102i | ||||
\(655\) | 31.5101 | − | 21.7153i | 1.23120 | − | 0.848486i | ||||
\(656\) | 14.2785 | + | 8.08855i | 0.557481 | + | 0.315805i | ||||
\(657\) | −8.32631 | − | 8.32631i | −0.324840 | − | 0.324840i | ||||
\(658\) | −0.0210728 | + | 0.00943393i | −0.000821502 | + | 0.000367773i | ||||
\(659\) | 4.66399 | − | 29.4473i | 0.181683 | − | 1.14710i | −0.713253 | − | 0.700907i | \(-0.752779\pi\) |
0.894936 | − | 0.446195i | \(-0.147221\pi\) | |||||||
\(660\) | 14.4738 | + | 13.5884i | 0.563393 | + | 0.528926i | ||||
\(661\) | −0.769833 | − | 4.86054i | −0.0299430 | − | 0.189053i | 0.968183 | − | 0.250243i | \(-0.0805105\pi\) |
−0.998126 | + | 0.0611899i | \(0.980510\pi\) | |||||||
\(662\) | 20.9410 | − | 13.6602i | 0.813894 | − | 0.530920i | ||||
\(663\) | −0.544873 | + | 3.44019i | −0.0211611 | + | 0.133606i | ||||
\(664\) | −16.7795 | + | 0.103033i | −0.651171 | + | 0.00399847i | ||||
\(665\) | −0.0988780 | + | 0.537306i | −0.00383432 | + | 0.0208358i | ||||
\(666\) | 4.71272 | − | 22.3969i | 0.182614 | − | 0.867864i | ||||
\(667\) | −2.92429 | + | 9.00004i | −0.113229 | + | 0.348483i | ||||
\(668\) | −16.5467 | + | 13.5118i | −0.640213 | + | 0.522788i | ||||
\(669\) | −11.7347 | + | 5.97910i | −0.453688 | + | 0.231165i | ||||
\(670\) | 3.57196 | − | 47.3954i | 0.137997 | − | 1.83104i | ||||
\(671\) | 15.7202 | − | 5.10781i | 0.606872 | − | 0.197185i | ||||
\(672\) | 0.535454 | − | 0.0335600i | 0.0206556 | − | 0.00129460i | ||||
\(673\) | 9.49659 | − | 1.50411i | 0.366067 | − | 0.0579792i | 0.0293084 | − | 0.999570i | \(-0.490670\pi\) |
0.336758 | + | 0.941591i | \(0.390670\pi\) | |||||||
\(674\) | 0.955873 | − | 18.9825i | 0.0368189 | − | 0.731177i | ||||
\(675\) | 21.3620 | + | 8.13792i | 0.822225 | + | 0.313229i | ||||
\(676\) | −1.73933 | + | 17.2267i | −0.0668974 | + | 0.662566i | ||||
\(677\) | 12.5753 | − | 17.3084i | 0.483308 | − | 0.665217i | −0.495828 | − | 0.868421i | \(-0.665135\pi\) |
0.979136 | + | 0.203204i | \(0.0651354\pi\) | |||||||
\(678\) | −2.56708 | − | 9.50262i | −0.0985880 | − | 0.364946i | ||||
\(679\) | −1.55071 | + | 0.503855i | −0.0595107 | + | 0.0193362i | ||||
\(680\) | −9.66289 | − | 7.30147i | −0.370555 | − | 0.279999i | ||||
\(681\) | −7.52183 | − | 2.44399i | −0.288237 | − | 0.0936539i | ||||
\(682\) | −1.94346 | + | 38.5948i | −0.0744190 | + | 1.47787i | ||||
\(683\) | −39.5981 | − | 12.8662i | −1.51518 | − | 0.492312i | −0.570777 | − | 0.821105i | \(-0.693358\pi\) |
−0.944402 | + | 0.328793i | \(0.893358\pi\) | |||||||
\(684\) | 9.73271 | + | 2.56522i | 0.372139 | + | 0.0980835i | ||||
\(685\) | 0.950575 | − | 38.1529i | 0.0363196 | − | 1.45775i | ||||
\(686\) | −1.67333 | − | 1.34937i | −0.0638879 | − | 0.0515193i | ||||
\(687\) | −0.388582 | + | 2.45341i | −0.0148253 | + | 0.0936035i | ||||
\(688\) | 1.25395 | + | 2.75547i | 0.0478062 | + | 0.105051i | ||||
\(689\) | −11.9768 | + | 16.4846i | −0.456279 | + | 0.628014i | ||||
\(690\) | −10.4217 | + | 8.96094i | −0.396748 | + | 0.341137i | ||||
\(691\) | −14.0134 | − | 2.21951i | −0.533095 | − | 0.0844340i | −0.115917 | − | 0.993259i | \(-0.536981\pi\) |
−0.417178 | + | 0.908825i | \(0.636981\pi\) | |||||||
\(692\) | −11.6652 | + | 26.4919i | −0.443446 | + | 1.00707i | ||||
\(693\) | 1.23702 | 0.0469906 | ||||||||
\(694\) | −0.443962 | + | 0.198754i | −0.0168526 | + | 0.00754462i | ||||
\(695\) | 11.9085 | + | 40.0158i | 0.451716 | + | 1.51789i | ||||
\(696\) | −0.762306 | − | 4.62887i | −0.0288951 | − | 0.175457i | ||||
\(697\) | 7.00001 | + | 3.56668i | 0.265144 | + | 0.135098i | ||||
\(698\) | 28.5409 | − | 35.3929i | 1.08029 | − | 1.33964i | ||||
\(699\) | −16.5860 | − | 16.5860i | −0.627340 | − | 0.627340i | ||||
\(700\) | −1.03566 | − | 0.328925i | −0.0391441 | − | 0.0124322i | ||||
\(701\) | 6.08721 | − | 6.08721i | 0.229911 | − | 0.229911i | −0.582745 | − | 0.812655i | \(-0.698021\pi\) |
0.812655 | + | 0.582745i | \(0.198021\pi\) | |||||||
\(702\) | 13.3974 | − | 1.43586i | 0.505654 | − | 0.0541930i | ||||
\(703\) | 7.38093 | − | 14.4859i | 0.278377 | − | 0.546346i | ||||
\(704\) | −28.4163 | + | 29.1230i | −1.07098 | + | 1.09761i | ||||
\(705\) | −0.00730323 | + | 0.293127i | −0.000275056 | + | 0.0110398i | ||||
\(706\) | −11.0498 | + | 28.9627i | −0.415864 | + | 1.09003i | ||||
\(707\) | 1.07778i | 0.0405342i | ||||||||
\(708\) | 1.71533 | + | 4.41448i | 0.0644660 | + | 0.165906i | ||||
\(709\) | −5.32077 | + | 33.5940i | −0.199826 | + | 1.26165i | 0.660080 | + | 0.751196i | \(0.270523\pi\) |
−0.859905 | + | 0.510454i | \(0.829477\pi\) | |||||||
\(710\) | 25.1661 | − | 15.5369i | 0.944469 | − | 0.583089i | ||||
\(711\) | −15.5984 | − | 11.3329i | −0.584986 | − | 0.425017i | ||||
\(712\) | −8.22744 | + | 25.8607i | −0.308336 | + | 0.969170i | ||||
\(713\) | −26.4243 | − | 4.18520i | −0.989598 | − | 0.156737i | ||||
\(714\) | 0.255384 | − | 0.0273705i | 0.00955751 | − | 0.00102432i | ||||
\(715\) | −18.8215 | − | 14.4043i | −0.703884 | − | 0.538690i | ||||
\(716\) | −28.7873 | − | 7.58737i | −1.07583 | − | 0.283553i | ||||
\(717\) | 4.64290 | − | 14.2894i | 0.173392 | − | 0.533646i | ||||
\(718\) | 20.5933 | − | 18.6187i | 0.768534 | − | 0.694845i | ||||
\(719\) | 3.31996 | − | 10.2178i | 0.123814 | − | 0.381059i | −0.869869 | − | 0.493282i | \(-0.835797\pi\) |
0.993683 | + | 0.112223i | \(0.0357971\pi\) | |||||||
\(720\) | −7.48577 | + | 18.5670i | −0.278978 | + | 0.691950i | ||||
\(721\) | 0.0444567 | + | 0.136824i | 0.00165565 | + | 0.00509558i | ||||
\(722\) | −17.0985 | − | 9.82522i | −0.636341 | − | 0.365657i | ||||
\(723\) | −19.6510 | − | 14.2773i | −0.730828 | − | 0.530978i | ||||
\(724\) | 16.6269 | − | 13.5772i | 0.617932 | − | 0.504594i | ||||
\(725\) | −1.95187 | + | 9.29893i | −0.0724907 | + | 0.345354i | ||||
\(726\) | 13.6142 | − | 12.3088i | 0.505270 | − | 0.456823i | ||||
\(727\) | −6.17658 | − | 38.9974i | −0.229077 | − | 1.44633i | −0.787262 | − | 0.616618i | \(-0.788502\pi\) |
0.558186 | − | 0.829716i | \(-0.311498\pi\) | |||||||
\(728\) | −0.631982 | + | 0.104078i | −0.0234228 | + | 0.00385739i | ||||
\(729\) | 1.81506 | + | 5.58617i | 0.0672244 | + | 0.206895i | ||||
\(730\) | 15.3490 | − | 6.41751i | 0.568093 | − | 0.237523i | ||||
\(731\) | 0.657980 | + | 1.29136i | 0.0243363 | + | 0.0477626i | ||||
\(732\) | −3.58810 | − | 4.39403i | −0.132620 | − | 0.162408i | ||||
\(733\) | 0.172427 | + | 0.0560250i | 0.00636875 | + | 0.00206933i | 0.312200 | − | 0.950017i | \(-0.398934\pi\) |
−0.305831 | + | 0.952086i | \(0.598934\pi\) | |||||||
\(734\) | 2.64873 | − | 1.72782i | 0.0977663 | − | 0.0637750i | ||||
\(735\) | −12.3024 | + | 5.88714i | −0.453781 | + | 0.217150i | ||||
\(736\) | −17.9511 | − | 21.7097i | −0.661686 | − | 0.800229i | ||||
\(737\) | −75.5054 | − | 11.9589i | −2.78128 | − | 0.440511i | ||||
\(738\) | 2.67393 | − | 12.7077i | 0.0984289 | − | 0.467777i | ||||
\(739\) | −25.6257 | + | 4.05871i | −0.942655 | + | 0.149302i | −0.608801 | − | 0.793323i | \(-0.708349\pi\) |
−0.333854 | + | 0.942625i | \(0.608349\pi\) | |||||||
\(740\) | 26.7473 | + | 18.1724i | 0.983250 | + | 0.668032i | ||||
\(741\) | 4.03932 | + | 0.639765i | 0.148388 | + | 0.0235024i | ||||
\(742\) | 1.40386 | + | 0.535597i | 0.0515373 | + | 0.0196624i | ||||
\(743\) | −12.9072 | + | 12.9072i | −0.473520 | + | 0.473520i | −0.903052 | − | 0.429531i | \(-0.858679\pi\) |
0.429531 | + | 0.903052i | \(0.358679\pi\) | |||||||
\(744\) | 12.5882 | − | 4.17577i | 0.461505 | − | 0.153091i | ||||
\(745\) | −26.2215 | + | 34.2625i | −0.960681 | + | 1.25528i | ||||
\(746\) | −21.8734 | + | 38.0655i | −0.800842 | + | 1.39368i | ||||
\(747\) | 4.10324 | + | 12.6285i | 0.150130 | + | 0.462052i | ||||
\(748\) | −12.9751 | + | 14.5295i | −0.474416 | + | 0.531250i | ||||
\(749\) | 0.933096 | + | 0.933096i | 0.0340946 | + | 0.0340946i | ||||
\(750\) | −9.44064 | + | 10.0658i | −0.344723 | + | 0.367551i | ||||
\(751\) | 41.9041i | 1.52910i | 0.644564 | + | 0.764550i | \(0.277039\pi\) | ||||
−0.644564 | + | 0.764550i | \(0.722961\pi\) | |||||||
\(752\) | −0.600380 | − | 0.0265377i | −0.0218936 | − | 0.000967730i | ||||
\(753\) | −7.25779 | − | 3.69803i | −0.264489 | − | 0.134764i | ||||
\(754\) | 1.46059 | + | 5.40671i | 0.0531915 | + | 0.196901i | ||||
\(755\) | 38.1901 | − | 5.07718i | 1.38988 | − | 0.184777i | ||||
\(756\) | −0.359869 | − | 0.926142i | −0.0130883 | − | 0.0336834i | ||||
\(757\) | − | 19.4802i | − | 0.708021i | −0.935241 | − | 0.354010i | \(-0.884818\pi\) | ||
0.935241 | − | 0.354010i | \(-0.115182\pi\) | |||||||
\(758\) | −5.15332 | − | 1.96608i | −0.187177 | − | 0.0714113i | ||||
\(759\) | 12.9939 | + | 17.8845i | 0.471648 | + | 0.649168i | ||||
\(760\) | −8.57306 | + | 11.3457i | −0.310977 | + | 0.411553i | ||||
\(761\) | −5.87662 | + | 8.08847i | −0.213027 | + | 0.293207i | −0.902137 | − | 0.431450i | \(-0.858002\pi\) |
0.689109 | + | 0.724657i | \(0.258002\pi\) | |||||||
\(762\) | −4.90597 | + | 3.20027i | −0.177725 | + | 0.115934i | ||||
\(763\) | −0.205046 | − | 0.282221i | −0.00742316 | − | 0.0102171i | ||||
\(764\) | 15.3536 | + | 13.7111i | 0.555475 | + | 0.496050i | ||||
\(765\) | −3.18773 | + | 9.03834i | −0.115253 | + | 0.326782i | ||||
\(766\) | 19.9901 | + | 30.6445i | 0.722271 | + | 1.10723i | ||||
\(767\) | −2.56687 | − | 5.03776i | −0.0926842 | − | 0.181903i | ||||
\(768\) | 12.8488 | + | 5.47036i | 0.463641 | + | 0.197395i | ||||
\(769\) | 15.8795 | + | 5.15957i | 0.572630 | + | 0.186059i | 0.580996 | − | 0.813906i | \(-0.302663\pi\) |
−0.00836623 | + | 0.999965i | \(0.502663\pi\) | |||||||
\(770\) | −0.663469 | + | 1.61691i | −0.0239098 | + | 0.0582692i | ||||
\(771\) | 2.82425 | − | 5.54290i | 0.101713 | − | 0.199623i | ||||
\(772\) | −15.7571 | + | 24.4826i | −0.567110 | + | 0.881149i | ||||
\(773\) | 4.47166 | + | 3.24885i | 0.160834 | + | 0.116853i | 0.665291 | − | 0.746584i | \(-0.268307\pi\) |
−0.504457 | + | 0.863437i | \(0.668307\pi\) | |||||||
\(774\) | 1.77703 | − | 1.60664i | 0.0638740 | − | 0.0577496i | ||||
\(775\) | −26.8288 | − | 1.33771i | −0.963721 | − | 0.0480518i | ||||
\(776\) | −41.9584 | − | 6.38171i | −1.50622 | − | 0.229090i | ||||
\(777\) | −0.677326 | + | 0.107278i | −0.0242989 | + | 0.00384857i | ||||
\(778\) | −3.37088 | − | 12.4781i | −0.120852 | − | 0.447361i | ||||
\(779\) | 4.18784 | − | 8.21909i | 0.150045 | − | 0.294480i | ||||
\(780\) | −2.26839 | + | 7.81157i | −0.0812213 | + | 0.279699i | ||||
\(781\) | −21.5961 | − | 42.3848i | −0.772770 | − | 1.51665i | ||||
\(782\) | −9.04448 | − | 10.0037i | −0.323430 | − | 0.357730i | ||||
\(783\) | −7.74115 | + | 3.94431i | −0.276646 | + | 0.140958i | ||||
\(784\) | −11.5781 | − | 25.4422i | −0.413504 | − | 0.908650i | ||||
\(785\) | 46.5190 | − | 6.18447i | 1.66034 | − | 0.220733i | ||||
\(786\) | −13.2603 | + | 16.4438i | −0.472979 | + | 0.586531i | ||||
\(787\) | −29.9689 | − | 41.2487i | −1.06828 | − | 1.47036i | −0.871808 | − | 0.489848i | \(-0.837052\pi\) |
−0.196469 | − | 0.980510i | \(-0.562948\pi\) | |||||||
\(788\) | 33.3846 | − | 19.4573i | 1.18928 | − | 0.693137i | ||||
\(789\) | 8.20383 | − | 1.29936i | 0.292064 | − | 0.0462584i | ||||
\(790\) | 23.1793 | − | 14.3103i | 0.824682 | − | 0.509136i | ||||
\(791\) | 0.701050 | − | 0.509343i | 0.0249265 | − | 0.0181101i | ||||
\(792\) | 28.7785 | + | 14.4415i | 1.02260 | + | 0.513156i | ||||
\(793\) | 4.78887 | + | 4.78887i | 0.170058 | + | 0.170058i | ||||
\(794\) | −39.2516 | + | 17.5723i | −1.39299 | + | 0.623618i | ||||
\(795\) | 13.8252 | − | 13.1531i | 0.490330 | − | 0.466491i | ||||
\(796\) | 10.7919 | + | 49.7691i | 0.382508 | + | 1.76402i | ||||
\(797\) | −0.218134 | − | 0.671346i | −0.00772669 | − | 0.0237803i | 0.947119 | − | 0.320883i | \(-0.103980\pi\) |
−0.954846 | + | 0.297103i | \(0.903980\pi\) | |||||||
\(798\) | −0.0321373 | − | 0.299860i | −0.00113765 | − | 0.0106149i | ||||
\(799\) | −0.287707 | −0.0101783 | ||||||||
\(800\) | −20.2538 | − | 19.7429i | −0.716082 | − | 0.698017i | ||||
\(801\) | 21.4750 | 0.758783 | ||||||||
\(802\) | −0.159333 | − | 1.48668i | −0.00562626 | − | 0.0524965i | ||||
\(803\) | −8.26875 | − | 25.4486i | −0.291798 | − | 0.898061i | ||||
\(804\) | 5.55996 | + | 25.6410i | 0.196085 | + | 0.904288i | ||||
\(805\) | −1.06409 | − | 0.576005i | −0.0375043 | − | 0.0203015i | ||||
\(806\) | −14.4513 | + | 6.46961i | −0.509025 | + | 0.227882i | ||||
\(807\) | −9.61377 | − | 9.61377i | −0.338421 | − | 0.338421i | ||||
\(808\) | −12.5825 | + | 25.0739i | −0.442650 | + | 0.882097i | ||||
\(809\) | −17.0083 | + | 12.3572i | −0.597979 | + | 0.434458i | −0.845161 | − | 0.534512i | \(-0.820496\pi\) |
0.247182 | + | 0.968969i | \(0.420496\pi\) | |||||||
\(810\) | 8.59053 | + | 0.647426i | 0.301840 | + | 0.0227482i | ||||
\(811\) | 28.0730 | − | 4.44632i | 0.985776 | − | 0.156132i | 0.357324 | − | 0.933980i | \(-0.383689\pi\) |
0.628451 | + | 0.777849i | \(0.283689\pi\) | |||||||
\(812\) | 0.356811 | − | 0.207957i | 0.0125216 | − | 0.00729786i | ||||
\(813\) | 3.62562 | + | 4.99024i | 0.127156 | + | 0.175015i | ||||
\(814\) | 32.6481 | − | 40.4862i | 1.14432 | − | 1.41904i | ||||
\(815\) | −8.47462 | + | 8.06259i | −0.296853 | + | 0.282420i | ||||
\(816\) | 6.26088 | + | 2.34470i | 0.219175 | + | 0.0820809i | ||||
\(817\) | 1.51625 | − | 0.772570i | 0.0530470 | − | 0.0270288i | ||||
\(818\) | 36.5833 | + | 40.4630i | 1.27911 | + | 1.41476i | ||||
\(819\) | 0.230102 | + | 0.451600i | 0.00804040 | + | 0.0157802i | ||||
\(820\) | 15.1760 | + | 10.3108i | 0.529970 | + | 0.360068i | ||||
\(821\) | 15.5261 | − | 30.4716i | 0.541863 | − | 1.06347i | −0.444018 | − | 0.896018i | \(-0.646447\pi\) |
0.985881 | − | 0.167449i | \(-0.0535528\pi\) | |||||||
\(822\) | 5.49424 | + | 20.3382i | 0.191634 | + | 0.709376i | ||||
\(823\) | 7.38731 | − | 1.17004i | 0.257505 | − | 0.0407849i | −0.0263469 | − | 0.999653i | \(-0.508387\pi\) |
0.283852 | + | 0.958868i | \(0.408387\pi\) | |||||||
\(824\) | −0.563078 | + | 3.70212i | −0.0196158 | + | 0.128970i | ||||
\(825\) | 14.8940 | + | 16.4572i | 0.518542 | + | 0.572965i | ||||
\(826\) | −0.309271 | + | 0.279617i | −0.0107609 | + | 0.00972912i | ||||
\(827\) | −23.0038 | − | 16.7133i | −0.799922 | − | 0.581177i | 0.110969 | − | 0.993824i | \(-0.464604\pi\) |
−0.910891 | + | 0.412647i | \(0.864604\pi\) | |||||||
\(828\) | −12.0643 | + | 18.7450i | −0.419265 | + | 0.651434i | ||||
\(829\) | −21.4988 | + | 42.1938i | −0.746686 | + | 1.46545i | 0.133613 | + | 0.991034i | \(0.457342\pi\) |
−0.880299 | + | 0.474419i | \(0.842658\pi\) | |||||||
\(830\) | −18.7074 | − | 1.40988i | −0.649342 | − | 0.0489377i | ||||
\(831\) | −14.8178 | − | 4.81461i | −0.514025 | − | 0.167017i | ||||
\(832\) | −15.9177 | − | 4.95671i | −0.551847 | − | 0.171843i | ||||
\(833\) | −6.07535 | − | 11.9236i | −0.210499 | − | 0.413127i | ||||
\(834\) | −12.5915 | − | 19.3026i | −0.436009 | − | 0.668396i | ||||
\(835\) | −19.6664 | + | 13.5531i | −0.680583 | + | 0.469026i | ||||
\(836\) | 17.0598 | + | 15.2348i | 0.590027 | + | 0.526905i | ||||
\(837\) | −14.4374 | − | 19.8714i | −0.499030 | − | 0.686855i | ||||
\(838\) | −22.1450 | + | 14.4457i | −0.764987 | + | 0.499018i | ||||
\(839\) | 8.13407 | − | 11.1956i | 0.280819 | − | 0.386515i | −0.645186 | − | 0.764026i | \(-0.723220\pi\) |
0.926005 | + | 0.377511i | \(0.123220\pi\) | |||||||
\(840\) | 0.599725 | + | 0.0112578i | 0.0206925 | + | 0.000388431i | ||||
\(841\) | 14.9232 | + | 20.5400i | 0.514592 | + | 0.708275i | ||||
\(842\) | −27.7188 | − | 10.5752i | −0.955253 | − | 0.364446i | ||||
\(843\) | 19.6592i | 0.677100i | ||||||||
\(844\) | −18.0579 | − | 46.4730i | −0.621580 | − | 1.59967i | ||||
\(845\) | −3.50353 | + | 19.0383i | −0.120525 | + | 0.654937i | ||||
\(846\) | 0.124025 | + | 0.459105i | 0.00426405 | + | 0.0157844i | ||||
\(847\) | 1.43964 | + | 0.733533i | 0.0494666 | + | 0.0252045i | ||||
\(848\) | 26.4071 | + | 28.8496i | 0.906825 | + | 0.990698i | ||||
\(849\) | − | 6.30145i | − | 0.216265i | ||||||
\(850\) | −10.1042 | − | 9.01432i | −0.346573 | − | 0.309189i | ||||
\(851\) | 25.4611 | + | 25.4611i | 0.872795 | + | 0.872795i | ||||
\(852\) | −10.8745 | + | 12.1773i | −0.372556 | + | 0.417187i | ||||
\(853\) | −7.22692 | − | 22.2422i | −0.247445 | − | 0.761558i | −0.995225 | − | 0.0976107i | \(-0.968880\pi\) |
0.747780 | − | 0.663947i | \(-0.231120\pi\) | |||||||
\(854\) | 0.248820 | − | 0.433013i | 0.00851444 | − | 0.0148174i | ||||
\(855\) | 10.6124 | + | 3.74289i | 0.362937 | + | 0.128004i | ||||
\(856\) | 10.8145 | + | 32.6012i | 0.369633 | + | 1.11429i | ||||
\(857\) | −18.6755 | + | 18.6755i | −0.637943 | + | 0.637943i | −0.950048 | − | 0.312105i | \(-0.898966\pi\) |
0.312105 | + | 0.950048i | \(0.398966\pi\) | |||||||
\(858\) | 12.2237 | + | 4.66355i | 0.417310 | + | 0.159211i | ||||
\(859\) | −28.3014 | − | 4.48249i | −0.965630 | − | 0.152941i | −0.346345 | − | 0.938107i | \(-0.612577\pi\) |
−0.619285 | + | 0.785166i | \(0.712577\pi\) | |||||||
\(860\) | 1.14694 | + | 3.18446i | 0.0391102 | + | 0.108589i | ||||
\(861\) | −0.384305 | + | 0.0608680i | −0.0130971 | + | 0.00207438i | ||||
\(862\) | 1.87366 | − | 8.90446i | 0.0638172 | − | 0.303287i | ||||
\(863\) | −45.5430 | − | 7.21331i | −1.55030 | − | 0.245544i | −0.678204 | − | 0.734873i | \(-0.737242\pi\) |
−0.872099 | + | 0.489329i | \(0.837242\pi\) | |||||||
\(864\) | 2.44003 | − | 25.7474i | 0.0830114 | − | 0.875943i | ||||
\(865\) | −15.4062 | + | 28.4609i | −0.523827 | + | 0.967699i | ||||
\(866\) | 11.1952 | − | 7.30285i | 0.380428 | − | 0.248161i | ||||
\(867\) | −11.0674 | − | 3.59603i | −0.375870 | − | 0.122128i | ||||
\(868\) | 0.738486 | + | 0.904360i | 0.0250659 | + | 0.0306960i | ||||
\(869\) | −19.8911 | − | 39.0385i | −0.674760 | − | 1.32429i | ||||
\(870\) | −0.428855 | − | 5.22739i | −0.0145396 | − | 0.177225i | ||||
\(871\) | −9.67913 | − | 29.7893i | −0.327965 | − | 1.00937i | ||||
\(872\) | −1.47549 | − | 8.95949i | −0.0499665 | − | 0.303407i | ||||
\(873\) | 5.25382 | + | 33.1713i | 0.177815 | + | 1.12268i | ||||
\(874\) | −11.7458 | + | 10.6196i | −0.397309 | + | 0.359214i | ||||
\(875\) | −1.12418 | − | 0.460639i | −0.0380042 | − | 0.0155724i | ||||
\(876\) | −7.11324 | + | 5.80857i | −0.240334 | + | 0.196253i | ||||
\(877\) | 10.6252 | + | 7.71967i | 0.358788 | + | 0.260675i | 0.752546 | − | 0.658539i | \(-0.228825\pi\) |
−0.393758 | + | 0.919214i | \(0.628825\pi\) | |||||||
\(878\) | 42.7103 | + | 24.5424i | 1.44140 | + | 0.828265i | ||||
\(879\) | −3.76957 | − | 11.6015i | −0.127144 | − | 0.391310i | ||||
\(880\) | −34.3116 | + | 29.8707i | −1.15664 | + | 1.00694i | ||||
\(881\) | 7.53514 | − | 23.1908i | 0.253865 | − | 0.781317i | −0.740186 | − | 0.672402i | \(-0.765262\pi\) |
0.994051 | − | 0.108915i | \(-0.0347375\pi\) | |||||||
\(882\) | −16.4079 | + | 14.8347i | −0.552483 | + | 0.499510i | ||||
\(883\) | 2.04025 | − | 6.27924i | 0.0686598 | − | 0.211313i | −0.910839 | − | 0.412761i | \(-0.864565\pi\) |
0.979499 | + | 0.201448i | \(0.0645646\pi\) | |||||||
\(884\) | −7.71780 | − | 2.03415i | −0.259578 | − | 0.0684160i | ||||
\(885\) | 1.51032 | + | 5.07508i | 0.0507689 | + | 0.170597i | ||||
\(886\) | −8.85483 | + | 0.949008i | −0.297484 | + | 0.0318826i | ||||
\(887\) | −3.08596 | − | 0.488768i | −0.103616 | − | 0.0164112i | 0.104411 | − | 0.994534i | \(-0.466704\pi\) |
−0.208027 | + | 0.978123i | \(0.566704\pi\) | |||||||
\(888\) | −17.0100 | − | 5.41163i | −0.570817 | − | 0.181602i | ||||
\(889\) | −0.417179 | − | 0.303098i | −0.0139917 | − | 0.0101656i | ||||
\(890\) | −11.5180 | + | 28.0699i | −0.386084 | + | 0.940905i | ||||
\(891\) | 2.16758 | − | 13.6855i | 0.0726165 | − | 0.458483i | ||||
\(892\) | −10.9304 | − | 28.1299i | −0.365977 | − | 0.941860i | ||||
\(893\) | 0.337812i | 0.0113045i | ||||||||
\(894\) | 8.48950 | − | 22.2519i | 0.283931 | − | 0.744216i | ||||
\(895\) | −31.3893 | − | 11.0707i | −1.04923 | − | 0.370052i | ||||
\(896\) | −0.0467452 | + | 1.22850i | −0.00156165 | + | 0.0410412i | ||||
\(897\) | −4.11209 | + | 8.07043i | −0.137299 | + | 0.269464i | ||||
\(898\) | 6.13236 | − | 0.657230i | 0.204639 | − | 0.0219320i | ||||
\(899\) | 7.21908 | − | 7.21908i | 0.240770 | − | 0.240770i | ||||
\(900\) | −10.0288 | + | 20.0096i | −0.334292 | + | 0.666988i | ||||
\(901\) | 13.2397 | + | 13.2397i | 0.441079 | + | 0.441079i | ||||
\(902\) | 18.5241 | − | 22.9713i | 0.616784 | − | 0.764861i | ||||
\(903\) | −0.0639567 | − | 0.0325875i | −0.00212834 | − | 0.00108445i | ||||
\(904\) | 22.2557 | − | 3.66519i | 0.740215 | − | 0.121902i | ||||
\(905\) | 19.7616 | − | 13.6188i | 0.656898 | − | 0.452703i | ||||
\(906\) | −19.4104 | + | 8.68970i | −0.644866 | + | 0.288696i | ||||
\(907\) | −19.9523 | −0.662506 | −0.331253 | − | 0.943542i | \(-0.607471\pi\) | ||||
−0.331253 | + | 0.943542i | \(0.607471\pi\) | |||||||
\(908\) | 7.30347 | − | 16.5863i | 0.242374 | − | 0.550435i | ||||
\(909\) | 21.9265 | + | 3.47282i | 0.727257 | + | 0.115186i | ||||
\(910\) | −0.713697 | + | 0.0585518i | −0.0236588 | + | 0.00194097i | ||||
\(911\) | 8.31205 | − | 11.4405i | 0.275390 | − | 0.379042i | −0.648810 | − | 0.760951i | \(-0.724733\pi\) |
0.924200 | + | 0.381908i | \(0.124733\pi\) | |||||||
\(912\) | 2.75304 | − | 7.35124i | 0.0911622 | − | 0.243424i | ||||
\(913\) | −4.72027 | + | 29.8026i | −0.156218 | + | 0.986323i | ||||
\(914\) | 15.2942 | + | 12.3332i | 0.505887 | + | 0.407948i | ||||
\(915\) | −3.59907 | − | 5.22246i | −0.118982 | − | 0.172649i | ||||
\(916\) | −5.50404 | − | 1.45068i | −0.181858 | − | 0.0479318i | ||||
\(917\) | −1.76864 | − | 0.574667i | −0.0584058 | − | 0.0189772i | ||||
\(918\) | 0.622690 | − | 12.3659i | 0.0205518 | − | 0.408134i | ||||
\(919\) | −2.01772 | − | 0.655597i | −0.0665584 | − | 0.0216261i | 0.275549 | − | 0.961287i | \(-0.411141\pi\) |
−0.342107 | + | 0.939661i | \(0.611141\pi\) | |||||||
\(920\) | −18.0309 | − | 25.8230i | −0.594460 | − | 0.851359i | ||||
\(921\) | 11.1247 | − | 3.61462i | 0.366570 | − | 0.119106i | ||||
\(922\) | 8.82475 | + | 32.6668i | 0.290628 | + | 1.07582i | ||||
\(923\) | 11.4563 | − | 15.7682i | 0.377088 | − | 0.519017i | ||||
\(924\) | 0.0969167 | − | 0.959883i | 0.00318833 | − | 0.0315778i | ||||
\(925\) | 28.1542 | + | 22.6806i | 0.925704 | + | 0.745734i | ||||
\(926\) | 2.03723 | − | 40.4568i | 0.0669474 | − | 1.32949i | ||||
\(927\) | 2.92681 | − | 0.463561i | 0.0961289 | − | 0.0152253i | ||||
\(928\) | 10.7288 | − | 0.672432i | 0.352189 | − | 0.0220737i | ||||
\(929\) | 41.4229 | − | 13.4591i | 1.35904 | − | 0.441579i | 0.463318 | − | 0.886192i | \(-0.346659\pi\) |
0.895723 | + | 0.444613i | \(0.146659\pi\) | |||||||
\(930\) | 14.4069 | − | 3.50937i | 0.472420 | − | 0.115077i | ||||
\(931\) | −14.0001 | + | 7.13340i | −0.458835 | + | 0.233788i | ||||
\(932\) | 41.6320 | − | 33.9961i | 1.36370 | − | 1.11358i | ||||
\(933\) | −0.230694 | + | 0.710003i | −0.00755258 | + | 0.0232445i | ||||
\(934\) | −0.318967 | + | 1.51587i | −0.0104369 | + | 0.0496008i | ||||
\(935\) | −15.7788 | + | 15.0117i | −0.516023 | + | 0.490935i | ||||
\(936\) | 0.0810075 | + | 13.1925i | 0.00264781 | + | 0.431210i | ||||
\(937\) | −1.15013 | + | 7.26166i | −0.0375733 | + | 0.237228i | −0.999327 | − | 0.0366882i | \(-0.988319\pi\) |
0.961754 | + | 0.273916i | \(0.0883192\pi\) | |||||||
\(938\) | −1.93454 | + | 1.26194i | −0.0631649 | + | 0.0412038i | ||||
\(939\) | 2.41669 | + | 15.2584i | 0.0788658 | + | 0.497939i | ||||
\(940\) | −0.666613 | − | 0.0841263i | −0.0217425 | − | 0.00274390i | ||||
\(941\) | −7.10987 | + | 44.8900i | −0.231775 | + | 1.46337i | 0.547562 | + | 0.836765i | \(0.315556\pi\) |
−0.779337 | + | 0.626605i | \(0.784444\pi\) | |||||||
\(942\) | −23.6436 | + | 10.5849i | −0.770351 | + | 0.344873i | ||||
\(943\) | 14.4463 | + | 14.4463i | 0.470435 | + | 0.470435i | ||||
\(944\) | −10.4594 | + | 2.89456i | −0.340423 | + | 0.0942099i | ||||
\(945\) | −0.316860 | − | 1.06473i | −0.0103074 | − | 0.0346358i | ||||
\(946\) | 5.25555 | − | 1.41975i | 0.170873 | − | 0.0461602i | ||||
\(947\) | −28.9104 | + | 9.39355i | −0.939461 | + | 0.305249i | −0.738426 | − | 0.674335i | \(-0.764431\pi\) |
−0.201035 | + | 0.979584i | \(0.564431\pi\) | |||||||
\(948\) | −10.0160 | + | 11.2159i | −0.325305 | + | 0.364275i | ||||
\(949\) | 7.75243 | − | 7.75243i | 0.251654 | − | 0.251654i | ||||
\(950\) | −10.5842 | + | 11.8639i | −0.343397 | + | 0.384917i | ||||
\(951\) | 4.17279 | 0.135312 | ||||||||
\(952\) | 0.00361392 | + | 0.588545i | 0.000117128 | + | 0.0190749i | ||||
\(953\) | −4.45770 | + | 8.74873i | −0.144399 | + | 0.283399i | −0.951866 | − | 0.306513i | \(-0.900838\pi\) |
0.807467 | + | 0.589912i | \(0.200838\pi\) | |||||||
\(954\) | 15.4198 | − | 26.8345i | 0.499233 | − | 0.868799i | ||||
\(955\) | 15.8632 | + | 16.6739i | 0.513322 | + | 0.539554i | ||||
\(956\) | 31.5093 | + | 13.8746i | 1.01908 | + | 0.448735i | ||||
\(957\) | −8.43594 | −0.272695 | ||||||||
\(958\) | −26.8329 | + | 12.0126i | −0.866932 | + | 0.388111i | ||||
\(959\) | −1.50044 | + | 1.09013i | −0.0484517 | + | 0.0352022i | ||||
\(960\) | 13.8208 | + | 7.26334i | 0.446064 | + | 0.234423i | ||||
\(961\) | −1.72882 | − | 1.25606i | −0.0557684 | − | 0.0405181i | ||||
\(962\) | 20.8533 | + | 4.38791i | 0.672336 | + | 0.141472i | ||||
\(963\) | 21.9896 | − | 15.9764i | 0.708606 | − | 0.514832i | ||||
\(964\) | 37.0740 | − | 41.5153i | 1.19407 | − | 1.33712i | ||||
\(965\) | −19.7833 | + | 25.8501i | −0.636848 | + | 0.832143i | ||||
\(966\) | 0.653610 | + | 0.137532i | 0.0210296 | + | 0.00442500i | ||||
\(967\) | −14.2723 | + | 7.27209i | −0.458966 | + | 0.233855i | −0.668157 | − | 0.744020i | \(-0.732917\pi\) |
0.209192 | + | 0.977875i | \(0.432917\pi\) | |||||||
\(968\) | 24.9287 | + | 33.8721i | 0.801240 | + | 1.08869i | ||||
\(969\) | 1.16130 | − | 3.57410i | 0.0373062 | − | 0.114817i | ||||
\(970\) | −46.1759 | − | 10.9240i | −1.48262 | − | 0.350748i | ||||
\(971\) | 51.3500 | + | 26.1641i | 1.64790 | + | 0.839646i | 0.996738 | + | 0.0807067i | \(0.0257177\pi\) |
0.651161 | + | 0.758940i | \(0.274282\pi\) | |||||||
\(972\) | −31.4560 | + | 6.82089i | −1.00895 | + | 0.218780i | ||||
\(973\) | 1.19255 | − | 1.64140i | 0.0382313 | − | 0.0526208i | ||||
\(974\) | 2.23968 | − | 44.4772i | 0.0717639 | − | 1.42514i | ||||
\(975\) | −3.23756 | + | 8.49859i | −0.103685 | + | 0.272173i | ||||
\(976\) | 10.8438 | − | 7.16895i | 0.347102 | − | 0.229473i | ||||
\(977\) | −5.96575 | − | 37.6663i | −0.190861 | − | 1.20505i | −0.878049 | − | 0.478570i | \(-0.841155\pi\) |
0.687188 | − | 0.726480i | \(-0.258845\pi\) | |||||||
\(978\) | 3.21702 | − | 5.59848i | 0.102869 | − | 0.179020i | ||||
\(979\) | 43.4815 | + | 22.1549i | 1.38967 | + | 0.708074i | ||||
\(980\) | −10.5900 | − | 29.4032i | −0.338287 | − | 0.939250i | ||||
\(981\) | −6.40225 | + | 3.26211i | −0.204408 | + | 0.104151i | ||||
\(982\) | −11.9467 | − | 0.601581i | −0.381233 | − | 0.0191972i | ||||
\(983\) | 8.91329 | + | 17.4933i | 0.284290 | + | 0.557950i | 0.988351 | − | 0.152189i | \(-0.0486322\pi\) |
−0.704062 | + | 0.710139i | \(0.748632\pi\) | |||||||
\(984\) | −9.65122 | − | 3.07048i | −0.307670 | − | 0.0978834i | ||||
\(985\) | 38.9697 | − | 18.6484i | 1.24168 | − | 0.594187i | ||||
\(986\) | 5.11706 | − | 0.548416i | 0.162960 | − | 0.0174651i | ||||
\(987\) | 0.0115278 | − | 0.00837544i | 0.000366934 | − | 0.000266593i | ||||
\(988\) | −2.38841 | + | 9.06189i | −0.0759855 | + | 0.288297i | ||||
\(989\) | 0.589591 | + | 3.72253i | 0.0187479 | + | 0.118370i | ||||
\(990\) | 30.7567 | + | 18.7077i | 0.977512 | + | 0.594569i | ||||
\(991\) | −7.30284 | − | 10.0515i | −0.231982 | − | 0.319296i | 0.677117 | − | 0.735875i | \(-0.263229\pi\) |
−0.909100 | + | 0.416579i | \(0.863229\pi\) | |||||||
\(992\) | 6.62255 | + | 29.6607i | 0.210266 | + | 0.941730i | ||||
\(993\) | −10.9111 | + | 10.9111i | −0.346254 | + | 0.346254i | ||||
\(994\) | −1.34285 | − | 0.512320i | −0.0425926 | − | 0.0162498i | ||||
\(995\) | 7.50342 | + | 56.4401i | 0.237874 | + | 1.78927i | ||||
\(996\) | 10.1207 | − | 2.19456i | 0.320687 | − | 0.0695373i | ||||
\(997\) | 4.48662 | − | 1.45779i | 0.142093 | − | 0.0461687i | −0.237107 | − | 0.971483i | \(-0.576199\pi\) |
0.379200 | + | 0.925315i | \(0.376199\pi\) | |||||||
\(998\) | 3.49504 | + | 2.81841i | 0.110634 | + | 0.0892151i | ||||
\(999\) | 33.0581i | 1.04591i |
(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 | 400.2.bd.a.187.29 | ✓ | 464 | |
16.3 | odd | 4 | 400.2.bm.a.387.26 | yes | 464 | ||
25.23 | odd | 20 | 400.2.bm.a.123.26 | yes | 464 | ||
400.323 | even | 20 | inner | 400.2.bd.a.323.29 | yes | 464 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
400.2.bd.a.187.29 | ✓ | 464 | 1.1 | even | 1 | trivial | |
400.2.bd.a.323.29 | yes | 464 | 400.323 | even | 20 | inner | |
400.2.bm.a.123.26 | yes | 464 | 25.23 | odd | 20 | ||
400.2.bm.a.387.26 | yes | 464 | 16.3 | odd | 4 |