Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(16,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.p (of order \(14\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(384\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 594.16 | ||
Character | \(\chi\) | \(=\) | 731.594 |
Dual form | 731.2.p.a.16.16 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{7}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.359164 | + | 1.57360i | −0.253967 | + | 1.11270i | 0.673615 | + | 0.739083i | \(0.264741\pi\) |
−0.927582 | + | 0.373620i | \(0.878116\pi\) | |||||||
\(3\) | 1.14363 | − | 0.261026i | 0.660276 | − | 0.150704i | 0.120764 | − | 0.992681i | \(-0.461466\pi\) |
0.539513 | + | 0.841978i | \(0.318609\pi\) | |||||||
\(4\) | −0.545279 | − | 0.262592i | −0.272639 | − | 0.131296i | ||||
\(5\) | 0.961694 | + | 0.766926i | 0.430083 | + | 0.342980i | 0.814483 | − | 0.580187i | \(-0.197020\pi\) |
−0.384401 | + | 0.923166i | \(0.625592\pi\) | |||||||
\(6\) | 1.89337i | 0.772965i | ||||||||
\(7\) | 0.0287002i | 0.0108476i | 0.999985 | + | 0.00542382i | \(0.00172646\pi\) | ||||
−0.999985 | + | 0.00542382i | \(0.998274\pi\) | |||||||
\(8\) | −1.40365 | + | 1.76012i | −0.496265 | + | 0.622297i | ||||
\(9\) | −1.46315 | + | 0.704615i | −0.487716 | + | 0.234872i | ||||
\(10\) | −1.55224 | + | 1.23787i | −0.490861 | + | 0.391449i | ||||
\(11\) | −0.135381 | − | 0.281121i | −0.0408188 | − | 0.0847611i | 0.879562 | − | 0.475784i | \(-0.157836\pi\) |
−0.920381 | + | 0.391023i | \(0.872121\pi\) | |||||||
\(12\) | −0.692142 | − | 0.157977i | −0.199804 | − | 0.0456040i | ||||
\(13\) | −2.17511 | + | 2.72751i | −0.603268 | + | 0.756474i | −0.985883 | − | 0.167434i | \(-0.946452\pi\) |
0.382615 | + | 0.923908i | \(0.375023\pi\) | |||||||
\(14\) | −0.0451626 | − | 0.0103081i | −0.0120702 | − | 0.00275495i | ||||
\(15\) | 1.30001 | + | 0.626053i | 0.335662 | + | 0.161646i | ||||
\(16\) | −3.02027 | − | 3.78730i | −0.755069 | − | 0.946826i | ||||
\(17\) | −2.03399 | + | 3.58649i | −0.493314 | + | 0.869851i | ||||
\(18\) | −0.583272 | − | 2.55548i | −0.137478 | − | 0.602333i | ||||
\(19\) | 0.616817 | + | 0.297043i | 0.141508 | + | 0.0681464i | 0.503298 | − | 0.864113i | \(-0.332120\pi\) |
−0.361790 | + | 0.932260i | \(0.617834\pi\) | |||||||
\(20\) | −0.323003 | − | 0.670722i | −0.0722256 | − | 0.149978i | ||||
\(21\) | 0.00749150 | + | 0.0328224i | 0.00163478 | + | 0.00716244i | ||||
\(22\) | 0.490995 | − | 0.112066i | 0.104681 | − | 0.0238926i | ||||
\(23\) | 1.43200 | + | 2.97358i | 0.298593 | + | 0.620034i | 0.995248 | − | 0.0973721i | \(-0.0310437\pi\) |
−0.696656 | + | 0.717406i | \(0.745329\pi\) | |||||||
\(24\) | −1.14582 | + | 2.37932i | −0.233890 | + | 0.485677i | ||||
\(25\) | −0.775924 | − | 3.39954i | −0.155185 | − | 0.679909i | ||||
\(26\) | −3.51078 | − | 4.40238i | −0.688521 | − | 0.863378i | ||||
\(27\) | −4.24074 | + | 3.38188i | −0.816131 | + | 0.650843i | ||||
\(28\) | 0.00753645 | − | 0.0156496i | 0.00142425 | − | 0.00295750i | ||||
\(29\) | 6.25439 | + | 1.42752i | 1.16141 | + | 0.265085i | 0.759446 | − | 0.650570i | \(-0.225470\pi\) |
0.401965 | + | 0.915655i | \(0.368327\pi\) | |||||||
\(30\) | −1.45207 | + | 1.82084i | −0.265111 | + | 0.332439i | ||||
\(31\) | 3.42590 | + | 0.781939i | 0.615310 | + | 0.140440i | 0.518806 | − | 0.854892i | \(-0.326377\pi\) |
0.0965040 | + | 0.995333i | \(0.469234\pi\) | |||||||
\(32\) | 2.98781 | − | 1.43885i | 0.528175 | − | 0.254356i | ||||
\(33\) | −0.228205 | − | 0.286161i | −0.0397255 | − | 0.0498142i | ||||
\(34\) | −4.91316 | − | 4.48882i | −0.842600 | − | 0.769826i | ||||
\(35\) | −0.0220109 | + | 0.0276008i | −0.00372052 | + | 0.00466539i | ||||
\(36\) | 0.982850 | 0.163808 | ||||||||
\(37\) | 6.89643i | 1.13377i | 0.823798 | + | 0.566883i | \(0.191851\pi\) | ||||
−0.823798 | + | 0.566883i | \(0.808149\pi\) | |||||||
\(38\) | −0.688966 | + | 0.863936i | −0.111765 | + | 0.140149i | ||||
\(39\) | −1.77558 | + | 3.68702i | −0.284320 | + | 0.590396i | ||||
\(40\) | −2.69976 | + | 0.616204i | −0.426870 | + | 0.0974303i | ||||
\(41\) | 8.44800 | + | 1.92820i | 1.31936 | + | 0.301134i | 0.823522 | − | 0.567284i | \(-0.192006\pi\) |
0.495833 | + | 0.868418i | \(0.334863\pi\) | |||||||
\(42\) | −0.0543400 | −0.00838485 | ||||||||
\(43\) | 4.54781 | − | 4.72413i | 0.693534 | − | 0.720424i | ||||
\(44\) | 0.188839i | 0.0284686i | ||||||||
\(45\) | −1.94749 | − | 0.444502i | −0.290314 | − | 0.0662624i | ||||
\(46\) | −5.19354 | + | 1.18539i | −0.765746 | + | 0.174777i | ||||
\(47\) | −6.97044 | − | 3.35679i | −1.01674 | − | 0.489638i | −0.150156 | − | 0.988662i | \(-0.547978\pi\) |
−0.866588 | + | 0.499024i | \(0.833692\pi\) | |||||||
\(48\) | −4.44267 | − | 3.54291i | −0.641244 | − | 0.511375i | ||||
\(49\) | 6.99918 | 0.999882 | ||||||||
\(50\) | 5.62820 | 0.795948 | ||||||||
\(51\) | −1.38996 | + | 4.63255i | −0.194634 | + | 0.648686i | ||||
\(52\) | 1.90227 | − | 0.916083i | 0.263797 | − | 0.127038i | ||||
\(53\) | 0.296847 | + | 0.372235i | 0.0407751 | + | 0.0511303i | 0.801801 | − | 0.597591i | \(-0.203875\pi\) |
−0.761026 | + | 0.648722i | \(0.775304\pi\) | |||||||
\(54\) | −3.79860 | − | 7.88788i | −0.516924 | − | 1.07340i | ||||
\(55\) | 0.0854039 | − | 0.374179i | 0.0115159 | − | 0.0504543i | ||||
\(56\) | −0.0505158 | − | 0.0402850i | −0.00675045 | − | 0.00538331i | ||||
\(57\) | 0.782948 | + | 0.178703i | 0.103704 | + | 0.0236698i | ||||
\(58\) | −4.49270 | + | 9.32919i | −0.589921 | + | 1.22498i | ||||
\(59\) | 4.24592 | + | 5.32422i | 0.552772 | + | 0.693154i | 0.977203 | − | 0.212306i | \(-0.0680974\pi\) |
−0.424431 | + | 0.905460i | \(0.639526\pi\) | |||||||
\(60\) | −0.544472 | − | 0.682747i | −0.0702911 | − | 0.0881422i | ||||
\(61\) | −3.47592 | + | 0.793357i | −0.445046 | + | 0.101579i | −0.439170 | − | 0.898404i | \(-0.644728\pi\) |
−0.00587596 | + | 0.999983i | \(0.501870\pi\) | |||||||
\(62\) | −2.46092 | + | 5.11015i | −0.312537 | + | 0.648990i | ||||
\(63\) | −0.0202226 | − | 0.0419926i | −0.00254780 | − | 0.00529057i | ||||
\(64\) | −0.964782 | − | 4.22698i | −0.120598 | − | 0.528373i | ||||
\(65\) | −4.18359 | + | 0.954877i | −0.518910 | + | 0.118438i | ||||
\(66\) | 0.532265 | − | 0.256325i | 0.0655173 | − | 0.0315515i | ||||
\(67\) | −4.16727 | − | 2.00685i | −0.509113 | − | 0.245176i | 0.161649 | − | 0.986848i | \(-0.448319\pi\) |
−0.670763 | + | 0.741672i | \(0.734033\pi\) | |||||||
\(68\) | 2.05087 | − | 1.42153i | 0.248705 | − | 0.172385i | ||||
\(69\) | 2.41386 | + | 3.02689i | 0.290595 | + | 0.364394i | ||||
\(70\) | −0.0355271 | − | 0.0445495i | −0.00424630 | − | 0.00532469i | ||||
\(71\) | 6.10869 | − | 12.6848i | 0.724968 | − | 1.50541i | −0.132672 | − | 0.991160i | \(-0.542356\pi\) |
0.857640 | − | 0.514251i | \(-0.171930\pi\) | |||||||
\(72\) | 0.813539 | − | 3.56435i | 0.0958765 | − | 0.420063i | ||||
\(73\) | 0.596573 | + | 0.475751i | 0.0698236 | + | 0.0556824i | 0.657780 | − | 0.753210i | \(-0.271496\pi\) |
−0.587956 | + | 0.808893i | \(0.700067\pi\) | |||||||
\(74\) | −10.8522 | − | 2.47695i | −1.26154 | − | 0.287939i | ||||
\(75\) | −1.77474 | − | 3.68529i | −0.204929 | − | 0.425540i | ||||
\(76\) | −0.258336 | − | 0.323943i | −0.0296332 | − | 0.0371588i | ||||
\(77\) | 0.00806821 | − | 0.00388545i | 0.000919458 | − | 0.000442788i | ||||
\(78\) | −5.16418 | − | 4.11829i | −0.584728 | − | 0.466305i | ||||
\(79\) | − | 5.25189i | − | 0.590883i | −0.955361 | − | 0.295442i | \(-0.904533\pi\) | ||
0.955361 | − | 0.295442i | \(-0.0954668\pi\) | |||||||
\(80\) | − | 5.95856i | − | 0.666187i | ||||||
\(81\) | −0.929499 | + | 1.16556i | −0.103278 | + | 0.129506i | ||||
\(82\) | −6.06843 | + | 12.6012i | −0.670146 | + | 1.39157i | ||||
\(83\) | −1.81177 | − | 7.93790i | −0.198868 | − | 0.871298i | −0.971612 | − | 0.236580i | \(-0.923973\pi\) |
0.772744 | − | 0.634718i | \(-0.218884\pi\) | |||||||
\(84\) | 0.00453396 | − | 0.0198646i | 0.000494696 | − | 0.00216740i | ||||
\(85\) | −4.70664 | + | 1.88919i | −0.510507 | + | 0.204911i | ||||
\(86\) | 5.80048 | + | 8.85317i | 0.625482 | + | 0.954662i | ||||
\(87\) | 7.52534 | 0.806801 | ||||||||
\(88\) | 0.684833 | + | 0.156309i | 0.0730035 | + | 0.0166626i | ||||
\(89\) | 3.64740 | + | 15.9803i | 0.386624 | + | 1.69391i | 0.676170 | + | 0.736746i | \(0.263638\pi\) |
−0.289546 | + | 0.957164i | \(0.593504\pi\) | |||||||
\(90\) | 1.39893 | − | 2.90492i | 0.147461 | − | 0.306205i | ||||
\(91\) | −0.0782799 | − | 0.0624261i | −0.00820596 | − | 0.00654404i | ||||
\(92\) | − | 1.99746i | − | 0.208250i | ||||||
\(93\) | 4.12207 | 0.427439 | ||||||||
\(94\) | 7.78577 | − | 9.76305i | 0.803041 | − | 1.00698i | ||||
\(95\) | 0.365379 | + | 0.758718i | 0.0374871 | + | 0.0778428i | ||||
\(96\) | 3.04137 | − | 2.42541i | 0.310409 | − | 0.247543i | ||||
\(97\) | −4.21461 | − | 8.75172i | −0.427929 | − | 0.888603i | −0.997763 | − | 0.0668437i | \(-0.978707\pi\) |
0.569835 | − | 0.821759i | \(-0.307007\pi\) | |||||||
\(98\) | −2.51385 | + | 11.0139i | −0.253937 | + | 1.11257i | ||||
\(99\) | 0.396164 | + | 0.315930i | 0.0398159 | + | 0.0317521i | ||||
\(100\) | −0.469600 | + | 2.05745i | −0.0469600 | + | 0.205745i | ||||
\(101\) | −9.58395 | − | 4.61539i | −0.953639 | − | 0.459248i | −0.108678 | − | 0.994077i | \(-0.534662\pi\) |
−0.844960 | + | 0.534829i | \(0.820376\pi\) | |||||||
\(102\) | −6.79055 | − | 3.85109i | −0.672364 | − | 0.381315i | ||||
\(103\) | −10.9340 | − | 13.7108i | −1.07736 | − | 1.35096i | −0.932359 | − | 0.361533i | \(-0.882253\pi\) |
−0.144999 | − | 0.989432i | \(-0.546318\pi\) | |||||||
\(104\) | −1.74764 | − | 7.65693i | −0.171371 | − | 0.750823i | ||||
\(105\) | −0.0179678 | + | 0.0373106i | −0.00175348 | + | 0.00364114i | ||||
\(106\) | −0.692365 | + | 0.333425i | −0.0672484 | + | 0.0323851i | ||||
\(107\) | 18.8464 | − | 4.30157i | 1.82195 | − | 0.415848i | 0.831709 | − | 0.555211i | \(-0.187363\pi\) |
0.990241 | + | 0.139363i | \(0.0445054\pi\) | |||||||
\(108\) | 3.20044 | − | 0.730480i | 0.307963 | − | 0.0702905i | ||||
\(109\) | −0.438635 | − | 0.910836i | −0.0420136 | − | 0.0872422i | 0.878905 | − | 0.476996i | \(-0.158274\pi\) |
−0.920919 | + | 0.389754i | \(0.872560\pi\) | |||||||
\(110\) | 0.558134 | + | 0.268783i | 0.0532160 | + | 0.0256275i | ||||
\(111\) | 1.80015 | + | 7.88698i | 0.170863 | + | 0.748599i | ||||
\(112\) | 0.108696 | − | 0.0866824i | 0.0102708 | − | 0.00819072i | ||||
\(113\) | −2.10522 | + | 1.67886i | −0.198043 | + | 0.157934i | −0.717490 | − | 0.696568i | \(-0.754709\pi\) |
0.519447 | + | 0.854502i | \(0.326138\pi\) | |||||||
\(114\) | −0.562413 | + | 1.16786i | −0.0526748 | + | 0.109380i | ||||
\(115\) | −0.903367 | + | 3.95791i | −0.0842394 | + | 0.369077i | ||||
\(116\) | −3.03553 | − | 2.42075i | −0.281842 | − | 0.224761i | ||||
\(117\) | 1.26067 | − | 5.52336i | 0.116549 | − | 0.510635i | ||||
\(118\) | −9.90317 | + | 4.76911i | −0.911660 | + | 0.439032i | ||||
\(119\) | −0.102933 | − | 0.0583758i | −0.00943584 | − | 0.00535130i | ||||
\(120\) | −2.92669 | + | 1.40942i | −0.267169 | + | 0.128662i | ||||
\(121\) | 6.79769 | − | 8.52403i | 0.617972 | − | 0.774912i | ||||
\(122\) | − | 5.75465i | − | 0.521002i | ||||||
\(123\) | 10.1647 | 0.916521 | ||||||||
\(124\) | −1.66274 | − | 1.32599i | −0.149318 | − | 0.119077i | ||||
\(125\) | 4.52950 | − | 9.40560i | 0.405130 | − | 0.841262i | ||||
\(126\) | 0.0733427 | − | 0.0167400i | 0.00653389 | − | 0.00149132i | ||||
\(127\) | −4.12461 | + | 18.0711i | −0.366000 | + | 1.60355i | 0.371655 | + | 0.928371i | \(0.378791\pi\) |
−0.737654 | + | 0.675179i | \(0.764067\pi\) | |||||||
\(128\) | 13.6305 | 1.20478 | ||||||||
\(129\) | 3.96790 | − | 6.58977i | 0.349354 | − | 0.580197i | ||||
\(130\) | − | 6.92625i | − | 0.607472i | ||||||
\(131\) | 15.5009 | + | 3.53799i | 1.35432 | + | 0.309115i | 0.837247 | − | 0.546824i | \(-0.184163\pi\) |
0.517076 | + | 0.855940i | \(0.327021\pi\) | |||||||
\(132\) | 0.0492920 | + | 0.215962i | 0.00429032 | + | 0.0187971i | ||||
\(133\) | −0.00852520 | + | 0.0177028i | −0.000739228 | + | 0.00153502i | ||||
\(134\) | 4.65472 | − | 5.83683i | 0.402106 | − | 0.504225i | ||||
\(135\) | −6.67195 | −0.574230 | ||||||||
\(136\) | −3.45765 | − | 8.61424i | −0.296491 | − | 0.738665i | ||||
\(137\) | 2.72043 | − | 3.41131i | 0.232422 | − | 0.291448i | −0.651920 | − | 0.758288i | \(-0.726036\pi\) |
0.884342 | + | 0.466840i | \(0.154608\pi\) | |||||||
\(138\) | −5.63008 | + | 2.71130i | −0.479264 | + | 0.230802i | ||||
\(139\) | −6.61970 | + | 5.27904i | −0.561476 | + | 0.447762i | −0.862646 | − | 0.505808i | \(-0.831194\pi\) |
0.301170 | + | 0.953570i | \(0.402623\pi\) | |||||||
\(140\) | 0.0192498 | − | 0.00927023i | 0.00162691 | − | 0.000783478i | ||||
\(141\) | −8.84783 | − | 2.01946i | −0.745122 | − | 0.170069i | ||||
\(142\) | 17.7668 | + | 14.1686i | 1.49096 | + | 1.18900i | ||||
\(143\) | 1.06123 | + | 0.242218i | 0.0887442 | + | 0.0202553i | ||||
\(144\) | 7.08770 | + | 3.41326i | 0.590642 | + | 0.284438i | ||||
\(145\) | 4.92001 | + | 6.16950i | 0.408585 | + | 0.512349i | ||||
\(146\) | −0.962909 | + | 0.767894i | −0.0796909 | + | 0.0635514i | ||||
\(147\) | 8.00448 | − | 1.82697i | 0.660198 | − | 0.150686i | ||||
\(148\) | 1.81095 | − | 3.76048i | 0.148859 | − | 0.309109i | ||||
\(149\) | −12.6437 | + | 6.08887i | −1.03581 | + | 0.498819i | −0.872940 | − | 0.487828i | \(-0.837789\pi\) |
−0.162869 | + | 0.986648i | \(0.552075\pi\) | |||||||
\(150\) | 6.43659 | − | 1.46911i | 0.525545 | − | 0.119952i | ||||
\(151\) | 0.441316 | + | 1.93353i | 0.0359138 | + | 0.157349i | 0.989705 | − | 0.143121i | \(-0.0457138\pi\) |
−0.953791 | + | 0.300470i | \(0.902857\pi\) | |||||||
\(152\) | −1.38863 | + | 0.668728i | −0.112633 | + | 0.0542410i | ||||
\(153\) | 0.448932 | − | 6.68074i | 0.0362940 | − | 0.540106i | ||||
\(154\) | 0.00321633 | + | 0.0140916i | 0.000259179 | + | 0.00113554i | ||||
\(155\) | 2.69498 | + | 3.37940i | 0.216466 | + | 0.271440i | ||||
\(156\) | 1.93637 | − | 1.54420i | 0.155034 | − | 0.123635i | ||||
\(157\) | −2.28486 | − | 1.10033i | −0.182351 | − | 0.0878158i | 0.340481 | − | 0.940252i | \(-0.389410\pi\) |
−0.522832 | + | 0.852436i | \(0.675125\pi\) | |||||||
\(158\) | 8.26436 | + | 1.88629i | 0.657477 | + | 0.150065i | ||||
\(159\) | 0.436647 | + | 0.348214i | 0.0346284 | + | 0.0276152i | ||||
\(160\) | 3.97685 | + | 0.907691i | 0.314398 | + | 0.0717592i | ||||
\(161\) | −0.0853422 | + | 0.0410986i | −0.00672591 | + | 0.00323903i | ||||
\(162\) | −1.50027 | − | 1.88129i | −0.117873 | − | 0.147808i | ||||
\(163\) | −1.38759 | − | 2.88136i | −0.108684 | − | 0.225686i | 0.839532 | − | 0.543310i | \(-0.182829\pi\) |
−0.948217 | + | 0.317624i | \(0.897115\pi\) | |||||||
\(164\) | −4.10018 | − | 3.26979i | −0.320170 | − | 0.255327i | ||||
\(165\) | − | 0.450216i | − | 0.0350492i | ||||||
\(166\) | 13.1418 | 1.02000 | ||||||||
\(167\) | 20.0617 | + | 15.9986i | 1.55242 | + | 1.23801i | 0.850850 | + | 0.525409i | \(0.176088\pi\) |
0.701568 | + | 0.712602i | \(0.252484\pi\) | |||||||
\(168\) | −0.0682869 | − | 0.0328852i | −0.00526845 | − | 0.00253715i | ||||
\(169\) | 0.184601 | + | 0.808792i | 0.0142001 | + | 0.0622147i | ||||
\(170\) | −1.28237 | − | 8.08490i | −0.0983532 | − | 0.620084i | ||||
\(171\) | −1.11180 | −0.0850212 | ||||||||
\(172\) | −3.72035 | + | 1.38175i | −0.283674 | + | 0.105357i | ||||
\(173\) | 1.49696i | 0.113812i | 0.998380 | + | 0.0569060i | \(0.0181235\pi\) | ||||
−0.998380 | + | 0.0569060i | \(0.981876\pi\) | |||||||
\(174\) | −2.70283 | + | 11.8419i | −0.204901 | + | 0.897730i | ||||
\(175\) | 0.0975675 | − | 0.0222691i | 0.00737541 | − | 0.00168339i | ||||
\(176\) | −0.655803 | + | 1.36179i | −0.0494330 | + | 0.102649i | ||||
\(177\) | 6.24553 | + | 4.98065i | 0.469443 | + | 0.374368i | ||||
\(178\) | −26.4566 | −1.98301 | ||||||||
\(179\) | −2.96493 | −0.221609 | −0.110805 | − | 0.993842i | \(-0.535343\pi\) | ||||
−0.110805 | + | 0.993842i | \(0.535343\pi\) | |||||||
\(180\) | 0.945201 | + | 0.753773i | 0.0704512 | + | 0.0561829i | ||||
\(181\) | 5.59724 | + | 11.6228i | 0.416039 | + | 0.863914i | 0.998689 | + | 0.0511910i | \(0.0163017\pi\) |
−0.582650 | + | 0.812723i | \(0.697984\pi\) | |||||||
\(182\) | 0.126349 | − | 0.100760i | 0.00936561 | − | 0.00746883i | ||||
\(183\) | −3.76809 | + | 1.81462i | −0.278545 | + | 0.134140i | ||||
\(184\) | −7.24388 | − | 1.65337i | −0.534026 | − | 0.121888i | ||||
\(185\) | −5.28905 | + | 6.63226i | −0.388859 | + | 0.487613i | ||||
\(186\) | −1.48050 | + | 6.48649i | −0.108556 | + | 0.475613i | ||||
\(187\) | 1.28360 | + | 0.0862551i | 0.0938660 | + | 0.00630760i | ||||
\(188\) | 2.91937 | + | 3.66077i | 0.212917 | + | 0.266989i | ||||
\(189\) | −0.0970605 | − | 0.121710i | −0.00706012 | − | 0.00885310i | ||||
\(190\) | −1.32515 | + | 0.302457i | −0.0961364 | + | 0.0219425i | ||||
\(191\) | 22.9404 | + | 11.0475i | 1.65991 | + | 0.799371i | 0.998794 | + | 0.0490880i | \(0.0156315\pi\) |
0.661117 | + | 0.750283i | \(0.270083\pi\) | |||||||
\(192\) | −2.20671 | − | 4.58228i | −0.159256 | − | 0.330698i | ||||
\(193\) | −15.9541 | + | 3.64143i | −1.14840 | + | 0.262116i | −0.754033 | − | 0.656836i | \(-0.771894\pi\) |
−0.394370 | + | 0.918952i | \(0.629037\pi\) | |||||||
\(194\) | 15.2854 | − | 3.48880i | 1.09743 | − | 0.250481i | ||||
\(195\) | −4.53524 | + | 2.18406i | −0.324775 | + | 0.156403i | ||||
\(196\) | −3.81650 | − | 1.83793i | −0.272607 | − | 0.131281i | ||||
\(197\) | 13.1259 | − | 2.99589i | 0.935179 | − | 0.213448i | 0.272332 | − | 0.962203i | \(-0.412205\pi\) |
0.662847 | + | 0.748755i | \(0.269348\pi\) | |||||||
\(198\) | −0.639435 | + | 0.509932i | −0.0454426 | + | 0.0362393i | ||||
\(199\) | 0.443368 | − | 0.353574i | 0.0314296 | − | 0.0250642i | −0.607649 | − | 0.794206i | \(-0.707887\pi\) |
0.639079 | + | 0.769141i | \(0.279316\pi\) | |||||||
\(200\) | 7.07273 | + | 3.40605i | 0.500118 | + | 0.240844i | ||||
\(201\) | −5.28967 | − | 1.20733i | −0.373104 | − | 0.0851587i | ||||
\(202\) | 10.7050 | − | 13.4236i | 0.753200 | − | 0.944482i | ||||
\(203\) | −0.0409702 | + | 0.179502i | −0.00287554 | + | 0.0125986i | ||||
\(204\) | 1.97439 | − | 2.16103i | 0.138235 | − | 0.151303i | ||||
\(205\) | 6.64560 | + | 8.33332i | 0.464149 | + | 0.582025i | ||||
\(206\) | 25.5024 | − | 12.2813i | 1.77684 | − | 0.855679i | ||||
\(207\) | −4.19045 | − | 3.34178i | −0.291257 | − | 0.232269i | ||||
\(208\) | 16.8993 | 1.17176 | ||||||||
\(209\) | − | 0.213614i | − | 0.0147760i | ||||||
\(210\) | −0.0522585 | − | 0.0416748i | −0.00360618 | − | 0.00287583i | ||||
\(211\) | 1.05161 | − | 2.18368i | 0.0723955 | − | 0.150331i | −0.861630 | − | 0.507537i | \(-0.830556\pi\) |
0.934026 | + | 0.357206i | \(0.116271\pi\) | |||||||
\(212\) | −0.0641185 | − | 0.280921i | −0.00440368 | − | 0.0192938i | ||||
\(213\) | 3.67501 | − | 16.1013i | 0.251808 | − | 1.10324i | ||||
\(214\) | 31.2017i | 2.13290i | ||||||||
\(215\) | 7.99666 | − | 1.05534i | 0.545368 | − | 0.0719736i | ||||
\(216\) | − | 12.2112i | − | 0.830867i | ||||||
\(217\) | −0.0224418 | + | 0.0983239i | −0.00152345 | + | 0.00667466i | ||||
\(218\) | 1.59083 | − | 0.363097i | 0.107745 | − | 0.0245920i | ||||
\(219\) | 0.806443 | + | 0.388363i | 0.0544944 | + | 0.0262431i | ||||
\(220\) | −0.144826 | + | 0.181605i | −0.00976413 | + | 0.0122438i | ||||
\(221\) | −5.35801 | − | 13.3487i | −0.360419 | − | 0.897933i | ||||
\(222\) | −13.0575 | −0.876361 | ||||||||
\(223\) | 2.94902 | − | 3.69795i | 0.197481 | − | 0.247633i | −0.673225 | − | 0.739438i | \(-0.735091\pi\) |
0.870705 | + | 0.491805i | \(0.163663\pi\) | |||||||
\(224\) | 0.0412953 | + | 0.0857506i | 0.00275916 | + | 0.00572945i | ||||
\(225\) | 3.53066 | + | 4.42731i | 0.235377 | + | 0.295154i | ||||
\(226\) | −1.88573 | − | 3.91577i | −0.125437 | − | 0.260473i | ||||
\(227\) | 18.5736 | + | 4.23931i | 1.23277 | + | 0.281373i | 0.788791 | − | 0.614662i | \(-0.210708\pi\) |
0.443984 | + | 0.896035i | \(0.353565\pi\) | |||||||
\(228\) | −0.379999 | − | 0.303039i | −0.0251660 | − | 0.0200692i | ||||
\(229\) | −1.82827 | + | 8.01016i | −0.120815 | + | 0.529327i | 0.877909 | + | 0.478828i | \(0.158938\pi\) |
−0.998724 | + | 0.0504987i | \(0.983919\pi\) | |||||||
\(230\) | −5.90371 | − | 2.84308i | −0.389279 | − | 0.187467i | ||||
\(231\) | 0.00821286 | − | 0.00654954i | 0.000540366 | − | 0.000430928i | ||||
\(232\) | −11.2916 | + | 9.00474i | −0.741329 | + | 0.591190i | ||||
\(233\) | −20.1572 | + | 4.60074i | −1.32054 | + | 0.301405i | −0.823991 | − | 0.566603i | \(-0.808257\pi\) |
−0.496550 | + | 0.868008i | \(0.665400\pi\) | |||||||
\(234\) | 8.23877 | + | 3.96758i | 0.538585 | + | 0.259369i | ||||
\(235\) | −4.12903 | − | 8.57402i | −0.269348 | − | 0.559307i | ||||
\(236\) | −0.917112 | − | 4.01813i | −0.0596989 | − | 0.261558i | ||||
\(237\) | −1.37088 | − | 6.00622i | −0.0890483 | − | 0.390146i | ||||
\(238\) | 0.128830 | − | 0.141009i | 0.00835080 | − | 0.00914023i | ||||
\(239\) | 1.75777 | + | 0.846499i | 0.113701 | + | 0.0547555i | 0.489870 | − | 0.871796i | \(-0.337044\pi\) |
−0.376169 | + | 0.926551i | \(0.622759\pi\) | |||||||
\(240\) | −1.55534 | − | 6.81439i | −0.100397 | − | 0.439867i | ||||
\(241\) | 19.5725 | − | 15.6085i | 1.26077 | − | 1.00543i | 0.261585 | − | 0.965181i | \(-0.415755\pi\) |
0.999190 | − | 0.0402532i | \(-0.0128165\pi\) | |||||||
\(242\) | 10.9719 | + | 13.7584i | 0.705302 | + | 0.884421i | ||||
\(243\) | 6.30154 | − | 13.0853i | 0.404244 | − | 0.839421i | ||||
\(244\) | 2.10368 | + | 0.480150i | 0.134674 | + | 0.0307385i | ||||
\(245\) | 6.73107 | + | 5.36785i | 0.430032 | + | 0.342939i | ||||
\(246\) | −3.65079 | + | 15.9952i | −0.232766 | + | 1.01982i | ||||
\(247\) | −2.15184 | + | 1.03627i | −0.136918 | + | 0.0659362i | ||||
\(248\) | −6.18507 | + | 4.93243i | −0.392752 | + | 0.313210i | ||||
\(249\) | −4.14401 | − | 8.60512i | −0.262616 | − | 0.545327i | ||||
\(250\) | 13.1738 | + | 10.5058i | 0.833185 | + | 0.664443i | ||||
\(251\) | −30.5033 | −1.92535 | −0.962677 | − | 0.270653i | \(-0.912760\pi\) | ||||
−0.962677 | + | 0.270653i | \(0.912760\pi\) | |||||||
\(252\) | 0.0282080i | 0.00177693i | ||||||||
\(253\) | 0.642069 | − | 0.805129i | 0.0403665 | − | 0.0506180i | ||||
\(254\) | −26.9552 | − | 12.9810i | −1.69132 | − | 0.814498i | ||||
\(255\) | −4.88954 | + | 3.38909i | −0.306195 | + | 0.212233i | ||||
\(256\) | −2.96603 | + | 12.9950i | −0.185377 | + | 0.812189i | ||||
\(257\) | 8.44665 | 0.526888 | 0.263444 | − | 0.964675i | \(-0.415142\pi\) | ||||
0.263444 | + | 0.964675i | \(0.415142\pi\) | |||||||
\(258\) | 8.94453 | + | 8.61068i | 0.556862 | + | 0.536078i | ||||
\(259\) | −0.197929 | −0.0122987 | ||||||||
\(260\) | 2.53197 | + | 0.577905i | 0.157026 | + | 0.0358401i | ||||
\(261\) | −10.1570 | + | 2.31826i | −0.628700 | + | 0.143497i | ||||
\(262\) | −11.1348 | + | 23.1215i | −0.687907 | + | 1.42845i | ||||
\(263\) | −3.91497 | + | 4.90922i | −0.241407 | + | 0.302715i | −0.887744 | − | 0.460337i | \(-0.847729\pi\) |
0.646337 | + | 0.763052i | \(0.276300\pi\) | |||||||
\(264\) | 0.823998 | 0.0507135 | ||||||||
\(265\) | 0.585636i | 0.0359753i | ||||||||
\(266\) | −0.0247951 | − | 0.0197734i | −0.00152029 | − | 0.00121239i | ||||
\(267\) | 8.34257 | + | 17.3235i | 0.510557 | + | 1.06018i | ||||
\(268\) | 1.74534 | + | 2.18859i | 0.106614 | + | 0.133689i | ||||
\(269\) | −5.84451 | − | 12.1362i | −0.356346 | − | 0.739960i | 0.643326 | − | 0.765593i | \(-0.277554\pi\) |
−0.999671 | + | 0.0256330i | \(0.991840\pi\) | |||||||
\(270\) | 2.39632 | − | 10.4990i | 0.145836 | − | 0.638947i | ||||
\(271\) | 3.33048 | − | 4.17628i | 0.202312 | − | 0.253691i | −0.670317 | − | 0.742075i | \(-0.733842\pi\) |
0.872629 | + | 0.488384i | \(0.162413\pi\) | |||||||
\(272\) | 19.7263 | − | 3.12885i | 1.19608 | − | 0.189714i | ||||
\(273\) | −0.105818 | − | 0.0509594i | −0.00640441 | − | 0.00308420i | ||||
\(274\) | 4.39095 | + | 5.50608i | 0.265267 | + | 0.332634i | ||||
\(275\) | −0.850637 | + | 0.678360i | −0.0512953 | + | 0.0409067i | ||||
\(276\) | −0.521390 | − | 2.28436i | −0.0313840 | − | 0.137502i | ||||
\(277\) | 8.71859 | − | 18.1043i | 0.523849 | − | 1.08778i | −0.456356 | − | 0.889797i | \(-0.650846\pi\) |
0.980205 | − | 0.197986i | \(-0.0634402\pi\) | |||||||
\(278\) | −5.92953 | − | 12.3128i | −0.355630 | − | 0.738473i | ||||
\(279\) | −5.56356 | + | 1.26985i | −0.333082 | + | 0.0760238i | ||||
\(280\) | −0.0176851 | − | 0.0774837i | −0.00105689 | − | 0.00463054i | ||||
\(281\) | 16.8127 | − | 8.09656i | 1.00296 | − | 0.483000i | 0.141018 | − | 0.990007i | \(-0.454962\pi\) |
0.861942 | + | 0.507007i | \(0.169248\pi\) | |||||||
\(282\) | 6.35564 | − | 13.1976i | 0.378473 | − | 0.785907i | ||||
\(283\) | 23.2105 | − | 5.29765i | 1.37972 | − | 0.314912i | 0.532625 | − | 0.846351i | \(-0.321206\pi\) |
0.847097 | + | 0.531439i | \(0.178348\pi\) | |||||||
\(284\) | −6.66187 | + | 5.31267i | −0.395309 | + | 0.315249i | ||||
\(285\) | 0.615905 | + | 0.772320i | 0.0364831 | + | 0.0457483i | ||||
\(286\) | −0.762308 | + | 1.58295i | −0.0450762 | + | 0.0936018i | ||||
\(287\) | −0.0553397 | + | 0.242459i | −0.00326660 | + | 0.0143119i | ||||
\(288\) | −3.35777 | + | 4.21051i | −0.197858 | + | 0.248107i | ||||
\(289\) | −8.72579 | − | 14.5897i | −0.513282 | − | 0.858220i | ||||
\(290\) | −11.4754 | + | 5.52626i | −0.673859 | + | 0.324513i | ||||
\(291\) | −7.10439 | − | 8.90863i | −0.416467 | − | 0.522233i | ||||
\(292\) | −0.200370 | − | 0.416072i | −0.0117258 | − | 0.0243488i | ||||
\(293\) | 12.1832 | − | 15.2772i | 0.711750 | − | 0.892506i | −0.286090 | − | 0.958203i | \(-0.592356\pi\) |
0.997840 | + | 0.0656969i | \(0.0209270\pi\) | |||||||
\(294\) | 13.2520i | 0.772874i | ||||||||
\(295\) | 8.37658i | 0.487703i | ||||||||
\(296\) | −12.1385 | − | 9.68017i | −0.705539 | − | 0.562648i | ||||
\(297\) | 1.52483 | + | 0.734320i | 0.0884796 | + | 0.0426095i | ||||
\(298\) | −5.04029 | − | 22.0830i | −0.291976 | − | 1.27923i | ||||
\(299\) | −11.2252 | − | 2.56208i | −0.649171 | − | 0.148169i | ||||
\(300\) | 2.47554i | 0.142926i | ||||||||
\(301\) | 0.135583 | + | 0.130523i | 0.00781490 | + | 0.00752321i | ||||
\(302\) | −3.20111 | −0.184203 | ||||||||
\(303\) | −12.1652 | − | 2.77664i | −0.698875 | − | 0.159514i | ||||
\(304\) | −0.737963 | − | 3.23323i | −0.0423251 | − | 0.185438i | ||||
\(305\) | −3.95122 | − | 1.90281i | −0.226246 | − | 0.108954i | ||||
\(306\) | 10.3516 | + | 3.10592i | 0.591760 | + | 0.177554i | ||||
\(307\) | −12.3433 | −0.704470 | −0.352235 | − | 0.935912i | \(-0.614578\pi\) | ||||
−0.352235 | + | 0.935912i | \(0.614578\pi\) | |||||||
\(308\) | −0.00541971 | −0.000308817 | ||||||||
\(309\) | −16.0833 | − | 12.8260i | −0.914950 | − | 0.729648i | ||||
\(310\) | −6.28576 | + | 3.02706i | −0.357007 | + | 0.171925i | ||||
\(311\) | 5.48154 | − | 4.37138i | 0.310829 | − | 0.247878i | −0.455632 | − | 0.890168i | \(-0.650587\pi\) |
0.766462 | + | 0.642290i | \(0.222015\pi\) | |||||||
\(312\) | −3.99732 | − | 8.30052i | −0.226304 | − | 0.469925i | ||||
\(313\) | −31.9350 | − | 7.28896i | −1.80507 | − | 0.411997i | −0.818393 | − | 0.574659i | \(-0.805135\pi\) |
−0.986682 | + | 0.162662i | \(0.947992\pi\) | |||||||
\(314\) | 2.55212 | − | 3.20025i | 0.144024 | − | 0.180601i | ||||
\(315\) | 0.0127573 | − | 0.0558933i | 0.000718791 | − | 0.00314923i | ||||
\(316\) | −1.37911 | + | 2.86374i | −0.0775807 | + | 0.161098i | ||||
\(317\) | −12.9781 | + | 10.3497i | −0.728921 | + | 0.581295i | −0.916061 | − | 0.401038i | \(-0.868649\pi\) |
0.187141 | + | 0.982333i | \(0.440078\pi\) | |||||||
\(318\) | −0.704778 | + | 0.562041i | −0.0395220 | + | 0.0315177i | ||||
\(319\) | −0.445417 | − | 1.95150i | −0.0249385 | − | 0.109263i | ||||
\(320\) | 2.31396 | − | 4.80498i | 0.129354 | − | 0.268607i | ||||
\(321\) | 20.4305 | − | 9.83882i | 1.14032 | − | 0.549150i | ||||
\(322\) | −0.0340210 | − | 0.149056i | −0.00189591 | − | 0.00830654i | ||||
\(323\) | −2.31994 | + | 1.60802i | −0.129085 | + | 0.0894729i | ||||
\(324\) | 0.812902 | − | 0.391473i | 0.0451612 | − | 0.0217485i | ||||
\(325\) | 10.9600 | + | 5.27806i | 0.607951 | + | 0.292774i | ||||
\(326\) | 5.03248 | − | 1.14863i | 0.278723 | − | 0.0636168i | ||||
\(327\) | −0.739389 | − | 0.927165i | −0.0408883 | − | 0.0512723i | ||||
\(328\) | −15.2519 | + | 12.1630i | −0.842145 | + | 0.671588i | ||||
\(329\) | 0.0963404 | − | 0.200053i | 0.00531142 | − | 0.0110293i | ||||
\(330\) | 0.708459 | + | 0.161701i | 0.0389994 | + | 0.00890136i | ||||
\(331\) | −12.4613 | + | 15.6260i | −0.684935 | + | 0.858882i | −0.995798 | − | 0.0915729i | \(-0.970811\pi\) |
0.310863 | + | 0.950455i | \(0.399382\pi\) | |||||||
\(332\) | −1.09651 | + | 4.80413i | −0.0601789 | + | 0.263661i | ||||
\(333\) | −4.85933 | − | 10.0905i | −0.266289 | − | 0.552956i | ||||
\(334\) | −32.3809 | + | 25.8229i | −1.77180 | + | 1.41297i | ||||
\(335\) | −2.46854 | − | 5.12597i | −0.134871 | − | 0.280062i | ||||
\(336\) | 0.101682 | − | 0.127505i | 0.00554721 | − | 0.00695599i | ||||
\(337\) | 26.0738i | 1.42033i | 0.704036 | + | 0.710164i | \(0.251379\pi\) | ||||
−0.704036 | + | 0.710164i | \(0.748621\pi\) | |||||||
\(338\) | −1.33902 | −0.0728329 | ||||||||
\(339\) | −1.96937 | + | 2.46952i | −0.106962 | + | 0.134126i | ||||
\(340\) | 3.06252 | + | 0.205795i | 0.166088 | + | 0.0111608i | ||||
\(341\) | −0.243981 | − | 1.06895i | −0.0132123 | − | 0.0578869i | ||||
\(342\) | 0.399317 | − | 1.74952i | 0.0215926 | − | 0.0946033i | ||||
\(343\) | 0.401779i | 0.0216940i | ||||||||
\(344\) | 1.93151 | + | 14.6357i | 0.104140 | + | 0.789105i | ||||
\(345\) | 4.76219i | 0.256388i | ||||||||
\(346\) | −2.35562 | − | 0.537655i | −0.126639 | − | 0.0289045i | ||||
\(347\) | −25.0578 | + | 5.71928i | −1.34517 | + | 0.307027i | −0.833674 | − | 0.552257i | \(-0.813767\pi\) |
−0.511499 | + | 0.859284i | \(0.670910\pi\) | |||||||
\(348\) | −4.10341 | − | 1.97610i | −0.219966 | − | 0.105930i | ||||
\(349\) | −1.11943 | + | 1.40372i | −0.0599217 | + | 0.0751395i | −0.810889 | − | 0.585200i | \(-0.801016\pi\) |
0.750967 | + | 0.660339i | \(0.229588\pi\) | |||||||
\(350\) | 0.161530i | 0.00863416i | ||||||||
\(351\) | − | 18.9226i | − | 1.01002i | ||||||
\(352\) | −0.808982 | − | 0.645142i | −0.0431189 | − | 0.0343862i | ||||
\(353\) | −16.0560 | + | 7.73217i | −0.854575 | + | 0.411542i | −0.809274 | − | 0.587432i | \(-0.800139\pi\) |
−0.0453013 | + | 0.998973i | \(0.514425\pi\) | |||||||
\(354\) | −10.0807 | + | 8.03910i | −0.535784 | + | 0.427273i | ||||
\(355\) | 15.6030 | − | 7.51401i | 0.828121 | − | 0.398802i | ||||
\(356\) | 2.20746 | − | 9.67150i | 0.116995 | − | 0.512589i | ||||
\(357\) | −0.132955 | − | 0.0398922i | −0.00703672 | − | 0.00211132i | ||||
\(358\) | 1.06490 | − | 4.66561i | 0.0562815 | − | 0.246585i | ||||
\(359\) | 16.3642 | + | 7.88061i | 0.863672 | + | 0.415922i | 0.812634 | − | 0.582774i | \(-0.198033\pi\) |
0.0510378 | + | 0.998697i | \(0.483747\pi\) | |||||||
\(360\) | 3.51597 | − | 2.80389i | 0.185308 | − | 0.147778i | ||||
\(361\) | −11.5541 | − | 14.4884i | −0.608109 | − | 0.762545i | ||||
\(362\) | −20.2999 | + | 4.63333i | −1.06694 | + | 0.243522i | ||||
\(363\) | 5.54905 | − | 11.5227i | 0.291250 | − | 0.604786i | ||||
\(364\) | 0.0262917 | + | 0.0545954i | 0.00137806 | + | 0.00286157i | ||||
\(365\) | 0.208855 | + | 0.915054i | 0.0109320 | + | 0.0478961i | ||||
\(366\) | −1.50212 | − | 6.58121i | −0.0785169 | − | 0.344005i | ||||
\(367\) | −3.12413 | − | 6.48731i | −0.163078 | − | 0.338635i | 0.803377 | − | 0.595471i | \(-0.203034\pi\) |
−0.966455 | + | 0.256836i | \(0.917320\pi\) | |||||||
\(368\) | 6.93681 | − | 14.4044i | 0.361606 | − | 0.750883i | ||||
\(369\) | −13.7193 | + | 3.13134i | −0.714198 | + | 0.163011i | ||||
\(370\) | −8.53688 | − | 10.7049i | −0.443811 | − | 0.556522i | ||||
\(371\) | −0.0106832 | + | 0.00851956i | −0.000554644 | + | 0.000442314i | ||||
\(372\) | −2.24768 | − | 1.08243i | −0.116537 | − | 0.0561211i | ||||
\(373\) | 0.645765 | − | 2.82928i | 0.0334364 | − | 0.146495i | −0.955454 | − | 0.295139i | \(-0.904634\pi\) |
0.988891 | + | 0.148645i | \(0.0474911\pi\) | |||||||
\(374\) | −0.596753 | + | 1.98889i | −0.0308574 | + | 0.102843i | ||||
\(375\) | 2.72497 | − | 11.9389i | 0.140717 | − | 0.616520i | ||||
\(376\) | 15.6924 | − | 7.55707i | 0.809275 | − | 0.389726i | ||||
\(377\) | −17.4976 | + | 13.9539i | −0.901172 | + | 0.718661i | ||||
\(378\) | 0.226384 | − | 0.109021i | 0.0116439 | − | 0.00560741i | ||||
\(379\) | 3.57554 | + | 2.85140i | 0.183663 | + | 0.146467i | 0.711006 | − | 0.703186i | \(-0.248240\pi\) |
−0.527342 | + | 0.849653i | \(0.676811\pi\) | |||||||
\(380\) | − | 0.509659i | − | 0.0261449i | ||||||
\(381\) | 21.7433i | 1.11394i | ||||||||
\(382\) | −25.6238 | + | 32.1312i | −1.31103 | + | 1.64397i | ||||
\(383\) | −11.0915 | − | 5.34140i | −0.566751 | − | 0.272933i | 0.128489 | − | 0.991711i | \(-0.458987\pi\) |
−0.695240 | + | 0.718778i | \(0.744702\pi\) | |||||||
\(384\) | 15.5883 | − | 3.55793i | 0.795487 | − | 0.181565i | ||||
\(385\) | 0.0107390 | + | 0.00245111i | 0.000547310 | + | 0.000124920i | ||||
\(386\) | − | 26.4133i | − | 1.34440i | ||||||
\(387\) | −3.32542 | + | 10.1166i | −0.169041 | + | 0.514254i | ||||
\(388\) | 5.87885i | 0.298454i | ||||||||
\(389\) | 4.41418 | − | 19.3398i | 0.223808 | − | 0.980565i | −0.730775 | − | 0.682618i | \(-0.760841\pi\) |
0.954583 | − | 0.297947i | \(-0.0963017\pi\) | |||||||
\(390\) | −1.80794 | − | 7.92108i | −0.0915483 | − | 0.401100i | ||||
\(391\) | −13.5774 | − | 0.912371i | −0.686637 | − | 0.0461406i | ||||
\(392\) | −9.82439 | + | 12.3194i | −0.496207 | + | 0.622223i | ||||
\(393\) | 18.6509 | 0.940812 | ||||||||
\(394\) | 21.7309i | 1.09478i | ||||||||
\(395\) | 4.02781 | − | 5.05071i | 0.202661 | − | 0.254129i | ||||
\(396\) | −0.133059 | − | 0.276299i | −0.00668646 | − | 0.0138846i | ||||
\(397\) | −24.3471 | + | 19.4162i | −1.22195 | + | 0.974470i | −1.00000 | 0.000589276i | \(-0.999812\pi\) | |
−0.221946 | + | 0.975059i | \(0.571241\pi\) | |||||||
\(398\) | 0.397143 | + | 0.824675i | 0.0199070 | + | 0.0413372i | ||||
\(399\) | −0.00512880 | + | 0.0224707i | −0.000256761 | + | 0.00112494i | ||||
\(400\) | −10.5316 | + | 13.2062i | −0.526580 | + | 0.660311i | ||||
\(401\) | −13.9222 | − | 3.17764i | −0.695239 | − | 0.158684i | −0.139724 | − | 0.990190i | \(-0.544622\pi\) |
−0.555515 | + | 0.831507i | \(0.687479\pi\) | |||||||
\(402\) | 3.79971 | − | 7.89019i | 0.189513 | − | 0.393527i | ||||
\(403\) | −9.58446 | + | 7.64336i | −0.477436 | + | 0.380743i | ||||
\(404\) | 4.01396 | + | 5.03334i | 0.199702 | + | 0.250418i | ||||
\(405\) | −1.78779 | + | 0.408051i | −0.0888359 | + | 0.0202762i | ||||
\(406\) | −0.267749 | − | 0.128941i | −0.0132882 | − | 0.00639925i | ||||
\(407\) | 1.93873 | − | 0.933643i | 0.0960992 | − | 0.0462789i | ||||
\(408\) | −6.20282 | − | 8.94898i | −0.307085 | − | 0.443040i | ||||
\(409\) | −2.47534 | − | 10.8452i | −0.122398 | − | 0.536260i | −0.998531 | − | 0.0541899i | \(-0.982742\pi\) |
0.876133 | − | 0.482070i | \(-0.160115\pi\) | |||||||
\(410\) | −15.5002 | + | 7.46449i | −0.765499 | + | 0.368645i | ||||
\(411\) | 2.22072 | − | 4.61138i | 0.109540 | − | 0.227463i | ||||
\(412\) | 2.36172 | + | 10.3474i | 0.116354 | + | 0.509779i | ||||
\(413\) | −0.152806 | + | 0.121859i | −0.00751909 | + | 0.00599627i | ||||
\(414\) | 6.76367 | − | 5.39385i | 0.332416 | − | 0.265093i | ||||
\(415\) | 4.34541 | − | 9.02333i | 0.213308 | − | 0.442938i | ||||
\(416\) | −2.57434 | + | 11.2789i | −0.126218 | + | 0.552995i | ||||
\(417\) | −6.19253 | + | 7.76519i | −0.303250 | + | 0.380263i | ||||
\(418\) | 0.336143 | + | 0.0767224i | 0.0164413 | + | 0.00375262i | ||||
\(419\) | −1.98241 | − | 4.11651i | −0.0968470 | − | 0.201105i | 0.846917 | − | 0.531726i | \(-0.178456\pi\) |
−0.943764 | + | 0.330621i | \(0.892742\pi\) | |||||||
\(420\) | 0.0195949 | − | 0.0156265i | 0.000956136 | − | 0.000762493i | ||||
\(421\) | −10.5689 | + | 5.08971i | −0.515096 | + | 0.248057i | −0.673327 | − | 0.739345i | \(-0.735135\pi\) |
0.158231 | + | 0.987402i | \(0.449421\pi\) | |||||||
\(422\) | 3.05854 | + | 2.43910i | 0.148887 | + | 0.118734i | ||||
\(423\) | 12.5640 | 0.610884 | ||||||||
\(424\) | −1.07185 | −0.0520535 | ||||||||
\(425\) | 13.7706 | + | 4.13179i | 0.667974 | + | 0.200421i | ||||
\(426\) | 24.0170 | + | 11.5660i | 1.16363 | + | 0.560374i | ||||
\(427\) | −0.0227695 | − | 0.0997596i | −0.00110189 | − | 0.00482770i | ||||
\(428\) | −11.4061 | − | 2.60337i | −0.551335 | − | 0.125839i | ||||
\(429\) | 1.27688 | 0.0616482 | ||||||||
\(430\) | −1.21143 | + | 12.9626i | −0.0584203 | + | 0.625111i | ||||
\(431\) | − | 32.9764i | − | 1.58842i | −0.607646 | − | 0.794208i | \(-0.707886\pi\) | ||
0.607646 | − | 0.794208i | \(-0.292114\pi\) | |||||||
\(432\) | 25.6164 | + | 5.84678i | 1.23247 | + | 0.281303i | ||||
\(433\) | 3.40107 | + | 14.9011i | 0.163445 | + | 0.716100i | 0.988522 | + | 0.151079i | \(0.0482748\pi\) |
−0.825076 | + | 0.565021i | \(0.808868\pi\) | |||||||
\(434\) | −0.146662 | − | 0.0706288i | −0.00704001 | − | 0.00339029i | ||||
\(435\) | 7.23708 | + | 5.77138i | 0.346991 | + | 0.276716i | ||||
\(436\) | 0.611842i | 0.0293019i | ||||||||
\(437\) | 2.25952i | 0.108087i | ||||||||
\(438\) | −0.900772 | + | 1.12953i | −0.0430406 | + | 0.0539712i | ||||
\(439\) | 15.9362 | + | 33.0919i | 0.760594 | + | 1.57939i | 0.814033 | + | 0.580818i | \(0.197267\pi\) |
−0.0534395 | + | 0.998571i | \(0.517018\pi\) | |||||||
\(440\) | 0.538723 | + | 0.675537i | 0.0256826 | + | 0.0322050i | ||||
\(441\) | −10.2408 | + | 4.93172i | −0.487659 | + | 0.234844i | ||||
\(442\) | 22.9300 | − | 3.63699i | 1.09067 | − | 0.172994i | ||||
\(443\) | −0.833261 | + | 1.04488i | −0.0395894 | + | 0.0496436i | −0.801232 | − | 0.598354i | \(-0.795822\pi\) |
0.761643 | + | 0.647997i | \(0.224393\pi\) | |||||||
\(444\) | 1.08948 | − | 4.77331i | 0.0517042 | − | 0.226531i | ||||
\(445\) | −8.74803 | + | 18.1655i | −0.414696 | + | 0.861126i | ||||
\(446\) | 4.75991 | + | 5.96874i | 0.225388 | + | 0.282628i | ||||
\(447\) | −12.8703 | + | 10.2638i | −0.608746 | + | 0.485459i | ||||
\(448\) | 0.121315 | − | 0.0276894i | 0.00573160 | − | 0.00130820i | ||||
\(449\) | 11.9384 | − | 24.7904i | 0.563409 | − | 1.16993i | −0.403540 | − | 0.914962i | \(-0.632220\pi\) |
0.966949 | − | 0.254969i | \(-0.0820654\pi\) | |||||||
\(450\) | −8.23489 | + | 3.96572i | −0.388197 | + | 0.186946i | ||||
\(451\) | −0.601638 | − | 2.63595i | −0.0283300 | − | 0.124122i | ||||
\(452\) | 1.58879 | − | 0.362631i | 0.0747304 | − | 0.0170567i | ||||
\(453\) | 1.00941 | + | 2.09605i | 0.0474261 | + | 0.0984813i | ||||
\(454\) | −13.3419 | + | 27.7048i | −0.626169 | + | 1.30025i | ||||
\(455\) | −0.0274051 | − | 0.120070i | −0.00128477 | − | 0.00562896i | ||||
\(456\) | −1.41352 | + | 1.12725i | −0.0661943 | + | 0.0527882i | ||||
\(457\) | −21.9080 | − | 27.4718i | −1.02482 | − | 1.28508i | −0.957834 | − | 0.287323i | \(-0.907235\pi\) |
−0.0669814 | − | 0.997754i | \(-0.521337\pi\) | |||||||
\(458\) | −11.9481 | − | 5.75392i | −0.558300 | − | 0.268863i | ||||
\(459\) | −3.50345 | − | 22.0881i | −0.163527 | − | 1.03098i | ||||
\(460\) | 1.53190 | − | 1.92095i | 0.0714254 | − | 0.0895646i | ||||
\(461\) | −7.40682 | + | 32.4514i | −0.344970 | + | 1.51141i | 0.443464 | + | 0.896292i | \(0.353749\pi\) |
−0.788434 | + | 0.615119i | \(0.789108\pi\) | |||||||
\(462\) | 0.00735658 | + | 0.0152761i | 0.000342259 | + | 0.000710709i | ||||
\(463\) | 9.74061 | + | 12.2143i | 0.452685 | + | 0.567649i | 0.954837 | − | 0.297131i | \(-0.0960297\pi\) |
−0.502152 | + | 0.864779i | \(0.667458\pi\) | |||||||
\(464\) | −13.4835 | − | 27.9988i | −0.625956 | − | 1.29981i | ||||
\(465\) | 3.96418 | + | 3.16132i | 0.183834 | + | 0.146603i | ||||
\(466\) | − | 33.3717i | − | 1.54592i | ||||||
\(467\) | 7.00122 | 0.323978 | 0.161989 | − | 0.986793i | \(-0.448209\pi\) | ||||
0.161989 | + | 0.986793i | \(0.448209\pi\) | |||||||
\(468\) | −2.13781 | + | 2.68073i | −0.0988203 | + | 0.123917i | ||||
\(469\) | 0.0575970 | − | 0.119601i | 0.00265958 | − | 0.00552268i | ||||
\(470\) | 14.9751 | − | 3.41796i | 0.690748 | − | 0.157659i | ||||
\(471\) | −2.90025 | − | 0.661963i | −0.133636 | − | 0.0305017i | ||||
\(472\) | −15.3311 | −0.705669 | ||||||||
\(473\) | −1.94374 | − | 0.638927i | −0.0893731 | − | 0.0293779i | ||||
\(474\) | 9.94376 | 0.456732 | ||||||||
\(475\) | 0.531209 | − | 2.32738i | 0.0243735 | − | 0.106787i | ||||
\(476\) | 0.0407980 | + | 0.0588605i | 0.00186998 | + | 0.00269786i | ||||
\(477\) | −0.696613 | − | 0.335471i | −0.0318957 | − | 0.0153602i | ||||
\(478\) | −1.96338 | + | 2.46200i | −0.0898029 | + | 0.112609i | ||||
\(479\) | 19.9805i | 0.912934i | 0.889740 | + | 0.456467i | \(0.150885\pi\) | ||||
−0.889740 | + | 0.456467i | \(0.849115\pi\) | |||||||
\(480\) | 4.78499 | 0.218404 | ||||||||
\(481\) | −18.8101 | − | 15.0005i | −0.857665 | − | 0.683965i | ||||
\(482\) | 17.5318 | + | 36.4053i | 0.798554 | + | 1.65821i | ||||
\(483\) | −0.0868722 | + | 0.0692783i | −0.00395282 | + | 0.00315227i | ||||
\(484\) | −5.94498 | + | 2.86295i | −0.270226 | + | 0.130134i | ||||
\(485\) | 2.65876 | − | 11.6488i | 0.120728 | − | 0.528944i | ||||
\(486\) | 18.3277 | + | 14.6159i | 0.831362 | + | 0.662989i | ||||
\(487\) | 4.24692 | + | 0.969332i | 0.192446 | + | 0.0439246i | 0.317658 | − | 0.948205i | \(-0.397104\pi\) |
−0.125211 | + | 0.992130i | \(0.539961\pi\) | |||||||
\(488\) | 3.48257 | − | 7.23164i | 0.157649 | − | 0.327361i | ||||
\(489\) | −2.33900 | − | 2.93302i | −0.105773 | − | 0.132636i | ||||
\(490\) | −10.8644 | + | 8.66407i | −0.490804 | + | 0.391403i | ||||
\(491\) | −7.72085 | − | 33.8272i | −0.348437 | − | 1.52660i | −0.780730 | − | 0.624869i | \(-0.785152\pi\) |
0.432293 | − | 0.901733i | \(-0.357705\pi\) | |||||||
\(492\) | −5.54260 | − | 2.66918i | −0.249880 | − | 0.120336i | ||||
\(493\) | −17.8412 | + | 19.5277i | −0.803525 | + | 0.879485i | ||||
\(494\) | −0.857811 | − | 3.75832i | −0.0385948 | − | 0.169095i | ||||
\(495\) | 0.138694 | + | 0.607656i | 0.00623381 | + | 0.0273121i | ||||
\(496\) | −7.38571 | − | 15.3366i | −0.331628 | − | 0.688633i | ||||
\(497\) | 0.364056 | + | 0.175320i | 0.0163302 | + | 0.00786419i | ||||
\(498\) | 15.0294 | − | 3.43036i | 0.673483 | − | 0.153718i | ||||
\(499\) | 11.5933 | − | 9.24534i | 0.518987 | − | 0.413878i | −0.328652 | − | 0.944451i | \(-0.606594\pi\) |
0.847640 | + | 0.530573i | \(0.178023\pi\) | |||||||
\(500\) | −4.93968 | + | 3.93926i | −0.220909 | + | 0.176169i | ||||
\(501\) | 27.1192 | + | 13.0599i | 1.21160 | + | 0.583474i | ||||
\(502\) | 10.9557 | − | 48.0000i | 0.488977 | − | 2.14235i | ||||
\(503\) | 26.3434 | + | 21.0081i | 1.17459 | + | 0.936707i | 0.998860 | − | 0.0477308i | \(-0.0151990\pi\) |
0.175733 | + | 0.984438i | \(0.443770\pi\) | |||||||
\(504\) | 0.102297 | + | 0.0233487i | 0.00455669 | + | 0.00104003i | ||||
\(505\) | −5.67717 | − | 11.7888i | −0.252631 | − | 0.524593i | ||||
\(506\) | 1.03634 | + | 1.29953i | 0.0460711 | + | 0.0577713i | ||||
\(507\) | 0.422232 | + | 0.876774i | 0.0187520 | + | 0.0389389i | ||||
\(508\) | 6.99439 | − | 8.77069i | 0.310326 | − | 0.389136i | ||||
\(509\) | 31.2460 | 1.38495 | 0.692477 | − | 0.721440i | \(-0.256520\pi\) | ||||
0.692477 | + | 0.721440i | \(0.256520\pi\) | |||||||
\(510\) | −3.57693 | − | 8.91142i | −0.158389 | − | 0.394604i | ||||
\(511\) | −0.0136541 | + | 0.0171217i | −0.000604023 | + | 0.000757421i | ||||
\(512\) | 5.17769 | + | 2.49345i | 0.228824 | + | 0.110196i | ||||
\(513\) | −3.62033 | + | 0.826316i | −0.159841 | + | 0.0364828i | ||||
\(514\) | −3.03373 | + | 13.2916i | −0.133812 | + | 0.586269i | ||||
\(515\) | − | 21.5712i | − | 0.950539i | ||||||
\(516\) | −3.89403 | + | 2.55132i | −0.171425 | + | 0.112316i | ||||
\(517\) | 2.41398i | 0.106167i | ||||||||
\(518\) | 0.0710888 | − | 0.311461i | 0.00312346 | − | 0.0136848i | ||||
\(519\) | 0.390747 | + | 1.71197i | 0.0171519 | + | 0.0751474i | ||||
\(520\) | 4.19159 | − | 8.70394i | 0.183814 | − | 0.381693i | ||||
\(521\) | 13.1239 | + | 10.4660i | 0.574969 | + | 0.458523i | 0.867294 | − | 0.497796i | \(-0.165857\pi\) |
−0.292325 | + | 0.956319i | \(0.594429\pi\) | |||||||
\(522\) | − | 16.8156i | − | 0.735999i | ||||||
\(523\) | −9.06177 | −0.396244 | −0.198122 | − | 0.980177i | \(-0.563484\pi\) | ||||
−0.198122 | + | 0.980177i | \(0.563484\pi\) | |||||||
\(524\) | −7.52328 | − | 5.99962i | −0.328656 | − | 0.262095i | ||||
\(525\) | 0.105768 | − | 0.0509354i | 0.00461611 | − | 0.00222300i | ||||
\(526\) | −6.31902 | − | 7.92381i | −0.275523 | − | 0.345494i | ||||
\(527\) | −9.77265 | + | 10.6965i | −0.425703 | + | 0.465947i | ||||
\(528\) | −0.394534 | + | 1.72857i | −0.0171699 | + | 0.0752262i | ||||
\(529\) | 7.54873 | − | 9.46580i | 0.328205 | − | 0.411557i | ||||
\(530\) | −0.921556 | − | 0.210339i | −0.0400298 | − | 0.00913655i | ||||
\(531\) | −9.96393 | − | 4.79838i | −0.432398 | − | 0.208232i | ||||
\(532\) | 0.00929722 | − | 0.00741429i | 0.000403086 | − | 0.000321450i | ||||
\(533\) | −23.6345 | + | 18.8479i | −1.02372 | + | 0.816393i | ||||
\(534\) | −30.2566 | + | 6.90588i | −1.30933 | + | 0.298847i | ||||
\(535\) | 21.4235 | + | 10.3170i | 0.926217 | + | 0.446043i | ||||
\(536\) | 9.38170 | − | 4.51799i | 0.405228 | − | 0.195147i | ||||
\(537\) | −3.39079 | + | 0.773925i | −0.146323 | + | 0.0333973i | ||||
\(538\) | 21.1967 | − | 4.83801i | 0.913855 | − | 0.208582i | ||||
\(539\) | −0.947552 | − | 1.96761i | −0.0408140 | − | 0.0847511i | ||||
\(540\) | 3.63807 | + | 1.75200i | 0.156558 | + | 0.0753942i | ||||
\(541\) | 32.1317 | − | 7.33384i | 1.38145 | − | 0.315306i | 0.533686 | − | 0.845683i | \(-0.320807\pi\) |
0.847762 | + | 0.530377i | \(0.177949\pi\) | |||||||
\(542\) | 5.37561 | + | 6.74080i | 0.230902 | + | 0.289542i | ||||
\(543\) | 9.43503 | + | 11.8312i | 0.404896 | + | 0.507723i | ||||
\(544\) | −0.916737 | + | 13.6423i | −0.0393048 | + | 0.584911i | ||||
\(545\) | 0.276710 | − | 1.21235i | 0.0118530 | − | 0.0519312i | ||||
\(546\) | 0.118196 | − | 0.148213i | 0.00505831 | − | 0.00634292i | ||||
\(547\) | 17.2781 | + | 3.94360i | 0.738756 | + | 0.168616i | 0.575309 | − | 0.817936i | \(-0.304882\pi\) |
0.163447 | + | 0.986552i | \(0.447739\pi\) | |||||||
\(548\) | −2.37917 | + | 1.14575i | −0.101633 | + | 0.0489440i | ||||
\(549\) | 4.52678 | − | 3.60998i | 0.193198 | − | 0.154070i | ||||
\(550\) | −0.761949 | − | 1.58220i | −0.0324896 | − | 0.0674654i | ||||
\(551\) | 3.43378 | + | 2.73835i | 0.146284 | + | 0.116658i | ||||
\(552\) | −8.71590 | −0.370974 | ||||||||
\(553\) | 0.150730 | 0.00640969 | ||||||||
\(554\) | 25.3576 | + | 20.2220i | 1.07734 | + | 0.859150i | ||||
\(555\) | −4.31753 | + | 8.96544i | −0.183269 | + | 0.380562i | ||||
\(556\) | 4.99582 | − | 1.14026i | 0.211870 | − | 0.0483579i | ||||
\(557\) | −6.41671 | + | 28.1134i | −0.271885 | + | 1.19120i | 0.635901 | + | 0.771771i | \(0.280629\pi\) |
−0.907786 | + | 0.419434i | \(0.862229\pi\) | |||||||
\(558\) | − | 9.21090i | − | 0.389929i | ||||||
\(559\) | 2.99310 | + | 22.6797i | 0.126595 | + | 0.959249i | ||||
\(560\) | 0.171012 | 0.00722656 | ||||||||
\(561\) | 1.49048 | − | 0.236409i | 0.0629280 | − | 0.00998120i | ||||
\(562\) | 6.70223 | + | 29.3644i | 0.282717 | + | 1.23866i | ||||
\(563\) | −18.0874 | − | 8.71042i | −0.762292 | − | 0.367101i | 0.0120007 | − | 0.999928i | \(-0.496180\pi\) |
−0.774293 | + | 0.632827i | \(0.781894\pi\) | |||||||
\(564\) | 4.29424 | + | 3.42454i | 0.180820 | + | 0.144199i | ||||
\(565\) | −3.31214 | −0.139343 | ||||||||
\(566\) | 38.4268i | 1.61520i | ||||||||
\(567\) | −0.0334516 | − | 0.0266768i | −0.00140484 | − | 0.00112032i | ||||
\(568\) | 13.7524 | + | 28.5571i | 0.577036 | + | 1.19823i | ||||
\(569\) | −21.1229 | − | 26.4873i | −0.885519 | − | 1.11041i | −0.993223 | − | 0.116223i | \(-0.962921\pi\) |
0.107704 | − | 0.994183i | \(-0.465650\pi\) | |||||||
\(570\) | −1.43653 | + | 0.691798i | −0.0601698 | + | 0.0289762i | ||||
\(571\) | −31.0279 | − | 7.08192i | −1.29848 | − | 0.296369i | −0.483237 | − | 0.875490i | \(-0.660539\pi\) |
−0.815242 | + | 0.579120i | \(0.803396\pi\) | |||||||
\(572\) | −0.515060 | − | 0.410746i | −0.0215357 | − | 0.0171742i | ||||
\(573\) | 29.1191 | + | 6.64624i | 1.21647 | + | 0.277651i | ||||
\(574\) | −0.361657 | − | 0.174165i | −0.0150953 | − | 0.00726950i | ||||
\(575\) | 8.99768 | − | 7.17541i | 0.375229 | − | 0.299235i | ||||
\(576\) | 4.39001 | + | 5.50490i | 0.182917 | + | 0.229371i | ||||
\(577\) | −3.55610 | − | 15.5803i | −0.148042 | − | 0.648616i | −0.993428 | − | 0.114460i | \(-0.963486\pi\) |
0.845385 | − | 0.534157i | \(-0.179371\pi\) | |||||||
\(578\) | 26.0924 | − | 8.49079i | 1.08530 | − | 0.353170i | ||||
\(579\) | −17.2951 | + | 8.32890i | −0.718762 | + | 0.346137i | ||||
\(580\) | −1.06271 | − | 4.65605i | −0.0441268 | − | 0.193332i | ||||
\(581\) | 0.227819 | − | 0.0519982i | 0.00945153 | − | 0.00215725i | ||||
\(582\) | 16.5702 | − | 7.97981i | 0.686859 | − | 0.330774i | ||||
\(583\) | 0.0644555 | − | 0.133843i | 0.00266947 | − | 0.00554322i | ||||
\(584\) | −1.67476 | + | 0.382253i | −0.0693020 | + | 0.0158177i | ||||
\(585\) | 5.44839 | − | 4.34495i | 0.225263 | − | 0.179641i | ||||
\(586\) | 19.6645 | + | 24.6585i | 0.812333 | + | 1.01863i | ||||
\(587\) | 0.961245 | + | 0.462911i | 0.0396748 | + | 0.0191064i | 0.453616 | − | 0.891197i | \(-0.350134\pi\) |
−0.413941 | + | 0.910304i | \(0.635848\pi\) | |||||||
\(588\) | −4.84442 | − | 1.10571i | −0.199781 | − | 0.0455986i | ||||
\(589\) | 1.88088 | + | 1.49995i | 0.0775005 | + | 0.0618046i | ||||
\(590\) | −13.1814 | − | 3.00856i | −0.542669 | − | 0.123861i | ||||
\(591\) | 14.2291 | − | 6.85239i | 0.585309 | − | 0.281870i | ||||
\(592\) | 26.1189 | − | 20.8291i | 1.07348 | − | 0.856071i | ||||
\(593\) | 28.1804 | − | 13.5710i | 1.15723 | − | 0.557293i | 0.246032 | − | 0.969262i | \(-0.420873\pi\) |
0.911198 | + | 0.411969i | \(0.135159\pi\) | |||||||
\(594\) | −1.70319 | + | 2.13573i | −0.0698827 | + | 0.0876301i | ||||
\(595\) | −0.0542200 | − | 0.135082i | −0.00222280 | − | 0.00553780i | ||||
\(596\) | 8.49321 | 0.347895 | ||||||||
\(597\) | 0.414758 | − | 0.520090i | 0.0169749 | − | 0.0212859i | ||||
\(598\) | 8.06338 | − | 16.7438i | 0.329736 | − | 0.684704i | ||||
\(599\) | 3.91606 | + | 17.1574i | 0.160006 | + | 0.701031i | 0.989741 | + | 0.142874i | \(0.0456344\pi\) |
−0.829735 | + | 0.558157i | \(0.811508\pi\) | |||||||
\(600\) | 8.97767 | + | 2.04909i | 0.366512 | + | 0.0836539i | ||||
\(601\) | − | 30.8961i | − | 1.26028i | −0.776482 | − | 0.630140i | \(-0.782997\pi\) | ||
0.776482 | − | 0.630140i | \(-0.217003\pi\) | |||||||
\(602\) | −0.254087 | + | 0.166475i | −0.0103558 | + | 0.00678501i | ||||
\(603\) | 7.51140 | 0.305888 | ||||||||
\(604\) | 0.267091 | − | 1.17020i | 0.0108678 | − | 0.0476148i | ||||
\(605\) | 13.0746 | − | 2.98419i | 0.531558 | − | 0.121325i | ||||
\(606\) | 8.73863 | − | 18.1460i | 0.354983 | − | 0.737129i | ||||
\(607\) | 4.97521 | + | 3.96760i | 0.201938 | + | 0.161040i | 0.719237 | − | 0.694764i | \(-0.244491\pi\) |
−0.517300 | + | 0.855804i | \(0.673063\pi\) | |||||||
\(608\) | 2.27033 | 0.0920742 | ||||||||
\(609\) | 0.215979i | 0.00875190i | ||||||||
\(610\) | 4.41339 | − | 5.53422i | 0.178693 | − | 0.224074i | ||||
\(611\) | 24.3172 | − | 11.7105i | 0.983767 | − | 0.473757i | ||||
\(612\) | −1.99910 | + | 3.52498i | −0.0808090 | + | 0.142489i | ||||
\(613\) | 5.16718 | − | 2.48838i | 0.208701 | − | 0.100505i | −0.326614 | − | 0.945158i | \(-0.605908\pi\) |
0.535314 | + | 0.844653i | \(0.320193\pi\) | |||||||
\(614\) | 4.43327 | − | 19.4234i | 0.178912 | − | 0.783865i | ||||
\(615\) | 9.77534 | + | 7.79558i | 0.394180 | + | 0.314348i | ||||
\(616\) | −0.00448609 | + | 0.0196548i | −0.000180750 | + | 0.000791916i | ||||
\(617\) | −9.67012 | + | 20.0802i | −0.389304 | + | 0.808398i | 0.610561 | + | 0.791969i | \(0.290944\pi\) |
−0.999865 | + | 0.0164291i | \(0.994770\pi\) | |||||||
\(618\) | 25.9596 | − | 20.7021i | 1.04425 | − | 0.832760i | ||||
\(619\) | 14.6075 | − | 11.6491i | 0.587124 | − | 0.468216i | −0.284307 | − | 0.958733i | \(-0.591764\pi\) |
0.871431 | + | 0.490517i | \(0.163192\pi\) | |||||||
\(620\) | −0.582111 | − | 2.55039i | −0.0233781 | − | 0.102426i | ||||
\(621\) | −16.1290 | − | 7.76733i | −0.647235 | − | 0.311692i | ||||
\(622\) | 4.91003 | + | 10.1958i | 0.196874 | + | 0.408814i | ||||
\(623\) | −0.458638 | + | 0.104681i | −0.0183749 | + | 0.00419396i | ||||
\(624\) | 19.3266 | − | 4.41117i | 0.773684 | − | 0.176588i | ||||
\(625\) | −4.13886 | + | 1.99317i | −0.165555 | + | 0.0797269i | ||||
\(626\) | 22.9398 | − | 47.6350i | 0.916860 | − | 1.90388i | ||||
\(627\) | −0.0557589 | − | 0.244296i | −0.00222680 | − | 0.00975623i | ||||
\(628\) | 0.956946 | + | 1.19997i | 0.0381863 | + | 0.0478841i | ||||
\(629\) | −24.7340 | − | 14.0273i | −0.986208 | − | 0.559303i | ||||
\(630\) | 0.0833716 | + | 0.0401497i | 0.00332161 | + | 0.00159960i | ||||
\(631\) | −6.78244 | + | 29.7158i | −0.270005 | + | 1.18297i | 0.640002 | + | 0.768374i | \(0.278934\pi\) |
−0.910006 | + | 0.414594i | \(0.863923\pi\) | |||||||
\(632\) | 9.24395 | + | 7.37181i | 0.367705 | + | 0.293235i | ||||
\(633\) | 0.632651 | − | 2.77182i | 0.0251456 | − | 0.110170i | ||||
\(634\) | −11.6250 | − | 24.1395i | −0.461687 | − | 0.958702i | ||||
\(635\) | −17.8258 | + | 14.2156i | −0.707395 | + | 0.564129i | ||||
\(636\) | −0.146656 | − | 0.304534i | −0.00581528 | − | 0.0120756i | ||||
\(637\) | −15.2240 | + | 19.0903i | −0.603197 | + | 0.756385i | ||||
\(638\) | 3.23085 | 0.127911 | ||||||||
\(639\) | 22.8640i | 0.904487i | ||||||||
\(640\) | 13.1084 | + | 10.4536i | 0.518155 | + | 0.413215i | ||||
\(641\) | −15.9853 | + | 33.1939i | −0.631383 | + | 1.31108i | 0.302380 | + | 0.953187i | \(0.402219\pi\) |
−0.933763 | + | 0.357892i | \(0.883495\pi\) | |||||||
\(642\) | 8.14446 | + | 35.6832i | 0.321436 | + | 1.40830i | ||||
\(643\) | 2.51697 | + | 0.574483i | 0.0992597 | + | 0.0226554i | 0.271862 | − | 0.962336i | \(-0.412360\pi\) |
−0.172603 | + | 0.984992i | \(0.555218\pi\) | |||||||
\(644\) | 0.0573275 | 0.00225902 | ||||||||
\(645\) | 8.86976 | − | 3.29426i | 0.349247 | − | 0.129711i | ||||
\(646\) | −1.69715 | − | 4.22820i | −0.0667734 | − | 0.166356i | ||||
\(647\) | −3.50085 | + | 15.3382i | −0.137633 | + | 0.603008i | 0.858319 | + | 0.513117i | \(0.171509\pi\) |
−0.995952 | + | 0.0898916i | \(0.971348\pi\) | |||||||
\(648\) | −0.746827 | − | 3.27206i | −0.0293381 | − | 0.128539i | ||||
\(649\) | 0.921932 | − | 1.91441i | 0.0361890 | − | 0.0751472i | ||||
\(650\) | −12.2420 | + | 15.3510i | −0.480170 | + | 0.602114i | ||||
\(651\) | 0.118304i | 0.00463671i | ||||||||
\(652\) | 1.93552i | 0.0758007i | ||||||||
\(653\) | −31.4109 | − | 25.0493i | −1.22920 | − | 0.980256i | −0.999976 | − | 0.00688275i | \(-0.997809\pi\) |
−0.229226 | − | 0.973373i | \(-0.573619\pi\) | |||||||
\(654\) | 1.72455 | − | 0.830499i | 0.0674352 | − | 0.0324751i | ||||
\(655\) | 12.1938 | + | 15.2905i | 0.476451 | + | 0.597450i | ||||
\(656\) | −18.2126 | − | 37.8188i | −0.711082 | − | 1.47658i | ||||
\(657\) | −1.20810 | − | 0.275740i | −0.0471323 | − | 0.0107576i | ||||
\(658\) | 0.280201 | + | 0.223453i | 0.0109234 | + | 0.00871111i | ||||
\(659\) | −7.49566 | + | 32.8406i | −0.291990 | + | 1.27929i | 0.589762 | + | 0.807577i | \(0.299221\pi\) |
−0.881752 | + | 0.471713i | \(0.843636\pi\) | |||||||
\(660\) | −0.118223 | + | 0.245493i | −0.00460183 | + | 0.00955580i | ||||
\(661\) | −20.8223 | − | 26.1104i | −0.809895 | − | 1.01558i | −0.999432 | − | 0.0337021i | \(-0.989270\pi\) |
0.189537 | − | 0.981874i | \(-0.439301\pi\) | |||||||
\(662\) | −20.1134 | − | 25.2214i | −0.781729 | − | 0.980257i | ||||
\(663\) | −9.61197 | − | 13.8674i | −0.373298 | − | 0.538567i | ||||
\(664\) | 16.5148 | + | 7.95309i | 0.640897 | + | 0.308640i | ||||
\(665\) | −0.0217753 | + | 0.0104865i | −0.000844411 | + | 0.000406647i | ||||
\(666\) | 17.6237 | − | 4.02249i | 0.682904 | − | 0.155868i | ||||
\(667\) | 4.71143 | + | 20.6421i | 0.182427 | + | 0.799267i | ||||
\(668\) | −6.73808 | − | 13.9918i | −0.260704 | − | 0.541357i | ||||
\(669\) | 2.40733 | − | 4.99886i | 0.0930726 | − | 0.193267i | ||||
\(670\) | 8.95283 | − | 2.04343i | 0.345878 | − | 0.0789444i | ||||
\(671\) | 0.693601 | + | 0.869748i | 0.0267762 | + | 0.0335763i | ||||
\(672\) | 0.0696098 | + | 0.0872879i | 0.00268526 | + | 0.00336721i | ||||
\(673\) | 2.87399 | − | 5.96791i | 0.110784 | − | 0.230046i | −0.838204 | − | 0.545356i | \(-0.816394\pi\) |
0.948989 | + | 0.315310i | \(0.102109\pi\) | |||||||
\(674\) | −41.0297 | − | 9.36475i | −1.58040 | − | 0.360717i | ||||
\(675\) | 14.7873 | + | 11.7925i | 0.569165 | + | 0.453894i | ||||
\(676\) | 0.111723 | − | 0.489492i | 0.00429705 | − | 0.0188266i | ||||
\(677\) | −6.43102 | − | 13.3541i | −0.247164 | − | 0.513242i | 0.740068 | − | 0.672533i | \(-0.234793\pi\) |
−0.987232 | + | 0.159291i | \(0.949079\pi\) | |||||||
\(678\) | −3.17870 | − | 3.98597i | −0.122077 | − | 0.153080i | ||||
\(679\) | 0.251176 | − | 0.120960i | 0.00963925 | − | 0.00464202i | ||||
\(680\) | 3.28128 | − | 10.9360i | 0.125831 | − | 0.419377i | ||||
\(681\) | 22.3480 | 0.856376 | ||||||||
\(682\) | 1.76973 | 0.0677664 | ||||||||
\(683\) | 1.86737 | + | 1.48918i | 0.0714528 | + | 0.0569817i | 0.658565 | − | 0.752524i | \(-0.271164\pi\) |
−0.587112 | + | 0.809506i | \(0.699735\pi\) | |||||||
\(684\) | 0.606239 | + | 0.291949i | 0.0231801 | + | 0.0111630i | ||||
\(685\) | 5.23244 | − | 1.19427i | 0.199921 | − | 0.0456307i | ||||
\(686\) | −0.632239 | − | 0.144304i | −0.0241390 | − | 0.00550957i | ||||
\(687\) | 9.63791i | 0.367709i | ||||||||
\(688\) | −31.6274 | − | 2.95576i | −1.20578 | − | 0.112687i | ||||
\(689\) | −1.66095 | −0.0632771 | ||||||||
\(690\) | −7.49379 | − | 1.71041i | −0.285284 | − | 0.0651141i | ||||
\(691\) | 8.78164 | − | 2.00435i | 0.334069 | − | 0.0762491i | −0.0521960 | − | 0.998637i | \(-0.516622\pi\) |
0.386265 | + | 0.922388i | \(0.373765\pi\) | |||||||
\(692\) | 0.393091 | − | 0.816262i | 0.0149431 | − | 0.0310296i | ||||
\(693\) | −0.00906724 | + | 0.0113700i | −0.000344436 | + | 0.000431909i | ||||
\(694\) | − | 41.4851i | − | 1.57475i | ||||||
\(695\) | −10.4148 | −0.395054 | ||||||||
\(696\) | −10.5629 | + | 13.2455i | −0.400387 | + | 0.502070i | ||||
\(697\) | −24.0986 | + | 26.3767i | −0.912799 | + | 0.999089i | ||||
\(698\) | −1.80684 | − | 2.26570i | −0.0683897 | − | 0.0857580i | ||||
\(699\) | −21.8515 | + | 10.5231i | −0.826499 | + | 0.398021i | ||||
\(700\) | −0.0590492 | − | 0.0134776i | −0.00223185 | − | 0.000509405i | ||||
\(701\) | −5.66534 | + | 7.10411i | −0.213977 | + | 0.268318i | −0.877223 | − | 0.480083i | \(-0.840607\pi\) |
0.663246 | + | 0.748401i | \(0.269178\pi\) | |||||||
\(702\) | 29.7766 | + | 6.79632i | 1.12385 | + | 0.256511i | ||||
\(703\) | −2.04854 | + | 4.25384i | −0.0772621 | + | 0.160436i | ||||
\(704\) | −1.05768 | + | 0.843472i | −0.0398628 | + | 0.0317895i | ||||
\(705\) | −6.96014 | − | 8.72773i | −0.262134 | − | 0.328705i | ||||
\(706\) | −6.40059 | − | 28.0428i | −0.240890 | − | 1.05541i | ||||
\(707\) | 0.132462 | − | 0.275061i | 0.00498176 | − | 0.0103447i | ||||
\(708\) | −2.09768 | − | 4.35587i | −0.0788355 | − | 0.163704i | ||||
\(709\) | −1.15993 | + | 0.264747i | −0.0435622 | + | 0.00994279i | −0.244246 | − | 0.969713i | \(-0.578541\pi\) |
0.200684 | + | 0.979656i | \(0.435683\pi\) | |||||||
\(710\) | 6.22001 | + | 27.2516i | 0.233433 | + | 1.02274i | ||||
\(711\) | 3.70056 | + | 7.68428i | 0.138782 | + | 0.288183i | ||||
\(712\) | −33.2470 | − | 16.0109i | −1.24598 | − | 0.600033i | ||||
\(713\) | 2.58073 | + | 11.3069i | 0.0966491 | + | 0.423447i | ||||
\(714\) | 0.110527 | − | 0.194890i | 0.00413637 | − | 0.00729357i | ||||
\(715\) | 0.834812 | + | 1.04682i | 0.0312202 | + | 0.0391489i | ||||
\(716\) | 1.61671 | + | 0.778568i | 0.0604194 | + | 0.0290965i | ||||
\(717\) | 2.23120 | + | 0.509258i | 0.0833259 | + | 0.0190186i | ||||
\(718\) | −18.2784 | + | 22.9203i | −0.682142 | + | 0.855379i | ||||
\(719\) | −22.1102 | − | 5.04652i | −0.824573 | − | 0.188203i | −0.210642 | − | 0.977563i | \(-0.567556\pi\) |
−0.613931 | + | 0.789360i | \(0.710413\pi\) | |||||||
\(720\) | 4.19849 | + | 8.71825i | 0.156468 | + | 0.324910i | ||||
\(721\) | 0.393502 | − | 0.313808i | 0.0146548 | − | 0.0116868i | ||||
\(722\) | 26.9487 | − | 12.9778i | 1.00293 | − | 0.482984i | ||||
\(723\) | 18.3095 | − | 22.9593i | 0.680936 | − | 0.853867i | ||||
\(724\) | − | 7.80745i | − | 0.290161i | ||||||
\(725\) | − | 22.3697i | − | 0.830791i | ||||||
\(726\) | 16.1391 | + | 12.8705i | 0.598980 | + | 0.477670i | ||||
\(727\) | 25.6391 | + | 12.3471i | 0.950900 | + | 0.457929i | 0.844002 | − | 0.536341i | \(-0.180194\pi\) |
0.106898 | + | 0.994270i | \(0.465908\pi\) | |||||||
\(728\) | 0.219755 | − | 0.0501577i | 0.00814466 | − | 0.00185897i | ||||
\(729\) | 4.78624 | − | 20.9699i | 0.177268 | − | 0.776663i | ||||
\(730\) | −1.51494 | −0.0560705 | ||||||||
\(731\) | 7.69286 | + | 25.9195i | 0.284531 | + | 0.958667i | ||||
\(732\) | 2.53116 | 0.0935545 | ||||||||
\(733\) | 5.15667 | − | 22.5928i | 0.190466 | − | 0.834485i | −0.785899 | − | 0.618355i | \(-0.787799\pi\) |
0.976365 | − | 0.216130i | \(-0.0693436\pi\) | |||||||
\(734\) | 11.3305 | − | 2.58611i | 0.418217 | − | 0.0954552i | ||||
\(735\) | 9.09902 | + | 4.38185i | 0.335622 | + | 0.161627i | ||||
\(736\) | 8.55708 | + | 6.82404i | 0.315418 | + | 0.251538i | ||||
\(737\) | 1.44320i | 0.0531608i | ||||||||
\(738\) | − | 22.7134i | − | 0.836090i | ||||||
\(739\) | 13.5803 | − | 17.0291i | 0.499559 | − | 0.626427i | −0.466571 | − | 0.884484i | \(-0.654511\pi\) |
0.966130 | + | 0.258057i | \(0.0830821\pi\) | |||||||
\(740\) | 4.62559 | − | 2.22757i | 0.170040 | − | 0.0818869i | ||||
\(741\) | −2.19041 | + | 1.74680i | −0.0804668 | + | 0.0641702i | ||||
\(742\) | −0.00956936 | − | 0.0198710i | −0.000351302 | − | 0.000729487i | ||||
\(743\) | −16.0422 | − | 3.66152i | −0.588529 | − | 0.134328i | −0.0821219 | − | 0.996622i | \(-0.526170\pi\) |
−0.506408 | + | 0.862294i | \(0.669027\pi\) | |||||||
\(744\) | −5.78595 | + | 7.25535i | −0.212123 | + | 0.265994i | ||||
\(745\) | −16.8290 | − | 3.84112i | −0.616569 | − | 0.140728i | ||||
\(746\) | 4.22022 | + | 2.03235i | 0.154513 | + | 0.0744096i | ||||
\(747\) | 8.24406 | + | 10.3377i | 0.301634 | + | 0.378237i | ||||
\(748\) | −0.677269 | − | 0.384096i | −0.0247634 | − | 0.0140439i | ||||
\(749\) | 0.123456 | + | 0.540895i | 0.00451098 | + | 0.0197639i | ||||
\(750\) | 17.8083 | + | 8.57601i | 0.650266 | + | 0.313152i | ||||
\(751\) | −5.90591 | − | 12.2637i | −0.215510 | − | 0.447510i | 0.764987 | − | 0.644046i | \(-0.222745\pi\) |
−0.980497 | + | 0.196535i | \(0.937031\pi\) | |||||||
\(752\) | 8.33947 | + | 36.5376i | 0.304109 | + | 1.33239i | ||||
\(753\) | −34.8846 | + | 7.96218i | −1.27127 | + | 0.290158i | ||||
\(754\) | −15.6733 | − | 32.5459i | −0.570788 | − | 1.18525i | ||||
\(755\) | −1.05847 | + | 2.19793i | −0.0385215 | + | 0.0799907i | ||||
\(756\) | 0.0209649 | + | 0.0918533i | 0.000762486 | + | 0.00334067i | ||||
\(757\) | 22.0999 | + | 27.7124i | 0.803236 | + | 1.00723i | 0.999643 | + | 0.0267036i | \(0.00850103\pi\) |
−0.196408 | + | 0.980522i | \(0.562928\pi\) | |||||||
\(758\) | −5.77117 | + | 4.60235i | −0.209618 | + | 0.167165i | ||||
\(759\) | 0.524131 | − | 1.08837i | 0.0190247 | − | 0.0395053i | ||||
\(760\) | −1.84830 | − | 0.421862i | −0.0670449 | − | 0.0153026i | ||||
\(761\) | 11.3250 | − | 14.2011i | 0.410531 | − | 0.514790i | −0.532981 | − | 0.846127i | \(-0.678928\pi\) |
0.943512 | + | 0.331337i | \(0.107500\pi\) | |||||||
\(762\) | −34.2152 | − | 7.80941i | −1.23949 | − | 0.282905i | ||||
\(763\) | 0.0261411 | − | 0.0125889i | 0.000946373 | − | 0.000455749i | ||||
\(764\) | −9.60793 | − | 12.0480i | −0.347603 | − | 0.435880i | ||||
\(765\) | 5.55537 | − | 6.08053i | 0.200855 | − | 0.219842i | ||||
\(766\) | 12.3889 | − | 15.5352i | 0.447629 | − | 0.561309i | ||||
\(767\) | −23.7572 | −0.857823 | ||||||||
\(768\) | 15.6357i | 0.564206i | ||||||||
\(769\) | 8.09964 | − | 10.1566i | 0.292080 | − | 0.366257i | −0.614042 | − | 0.789274i | \(-0.710457\pi\) |
0.906122 | + | 0.423016i | \(0.139029\pi\) | |||||||
\(770\) | −0.00771412 | + | 0.0160185i | −0.000277998 | + | 0.000577268i | ||||
\(771\) | 9.65986 | − | 2.20480i | 0.347891 | − | 0.0794039i | ||||
\(772\) | 9.65566 | + | 2.20384i | 0.347515 | + | 0.0793180i | ||||
\(773\) | −33.0784 | −1.18975 | −0.594873 | − | 0.803820i | \(-0.702798\pi\) | ||||
−0.594873 | + | 0.803820i | \(0.702798\pi\) | |||||||
\(774\) | −14.7250 | − | 8.86639i | −0.529281 | − | 0.318696i | ||||
\(775\) | − | 12.2532i | − | 0.440149i | ||||||
\(776\) | 21.3199 | + | 4.86613i | 0.765341 | + | 0.174684i | ||||
\(777\) | −0.226358 | + | 0.0516646i | −0.00812053 | + | 0.00185346i | ||||
\(778\) | 28.8476 | + | 13.8923i | 1.03424 | + | 0.498063i | ||||
\(779\) | 4.63811 | + | 3.69877i | 0.166178 | + | 0.132522i | ||||
\(780\) | 3.04649 | 0.109082 | ||||||||
\(781\) | −4.39296 | −0.157193 | ||||||||
\(782\) | 6.31220 | − | 21.0376i | 0.225724 | − | 0.752305i | ||||
\(783\) | −31.3510 | + | 15.0978i | −1.12039 | + | 0.539553i | ||||
\(784\) | −21.1394 | − | 26.5080i | −0.754980 | − | 0.946715i | ||||
\(785\) | −1.35346 | − | 2.81050i | −0.0483072 | − | 0.100311i | ||||
\(786\) | −6.69872 | + | 29.3490i | −0.238935 | + | 1.04684i | ||||
\(787\) | 17.8713 | + | 14.2519i | 0.637044 | + | 0.508026i | 0.887923 | − | 0.459993i | \(-0.152148\pi\) |
−0.250879 | + | 0.968019i | \(0.580720\pi\) | |||||||
\(788\) | −7.94395 | − | 1.81315i | −0.282992 | − | 0.0645910i | ||||
\(789\) | −3.19585 | + | 6.63625i | −0.113775 | + | 0.236257i | ||||
\(790\) | 6.50115 | + | 8.15219i | 0.231301 | + | 0.290042i | ||||
\(791\) | −0.0481836 | − | 0.0604203i | −0.00171321 | − | 0.00214830i | ||||
\(792\) | −1.11215 | + | 0.253841i | −0.0395185 | + | 0.00901984i | ||||
\(793\) | 5.39664 | − | 11.2062i | 0.191640 | − | 0.397945i | ||||
\(794\) | −21.8087 | − | 45.2862i | −0.773961 | − | 1.60715i | ||||
\(795\) | 0.152866 | + | 0.669751i | 0.00542161 | + | 0.0237536i | ||||
\(796\) | −0.334605 | + | 0.0763715i | −0.0118598 | + | 0.00270692i | ||||
\(797\) | −30.4400 | + | 14.6591i | −1.07824 | + | 0.519253i | −0.886753 | − | 0.462243i | \(-0.847045\pi\) |
−0.191486 | + | 0.981495i | \(0.561331\pi\) | |||||||
\(798\) | −0.0335179 | − | 0.0161414i | −0.00118652 | − | 0.000571398i | ||||
\(799\) | 26.2169 | − | 18.1717i | 0.927487 | − | 0.642870i | ||||
\(800\) | −7.20975 | − | 9.04074i | −0.254903 | − | 0.319639i | ||||
\(801\) | −16.5967 | − | 20.8115i | −0.586414 | − | 0.735340i | ||||
\(802\) | 10.0007 | − | 20.7666i | 0.353136 | − | 0.733294i | ||||
\(803\) | 0.0529790 | − | 0.232116i | 0.00186959 | − | 0.00819121i | ||||
\(804\) | 2.56731 | + | 2.04736i | 0.0905420 | + | 0.0722048i | ||||
\(805\) | −0.113593 | − | 0.0259268i | −0.00400362 | − | 0.000913799i | ||||
\(806\) | −8.58519 | − | 17.8273i | −0.302400 | − | 0.627941i | ||||
\(807\) | −9.85184 | − | 12.3538i | −0.346801 | − | 0.434875i | ||||
\(808\) | 21.5761 | − | 10.3905i | 0.759046 | − | 0.365537i | ||||
\(809\) | −30.1436 | − | 24.0387i | −1.05979 | − | 0.845156i | −0.0714563 | − | 0.997444i | \(-0.522765\pi\) |
−0.988336 | + | 0.152287i | \(0.951336\pi\) | |||||||
\(810\) | − | 2.95982i | − | 0.103998i | ||||||
\(811\) | − | 21.9763i | − | 0.771692i | −0.922563 | − | 0.385846i | \(-0.873910\pi\) | ||
0.922563 | − | 0.385846i | \(-0.126090\pi\) | |||||||
\(812\) | 0.0694761 | − | 0.0871202i | 0.00243813 | − | 0.00305732i | ||||
\(813\) | 2.71872 | − | 5.64547i | 0.0953496 | − | 0.197995i | ||||
\(814\) | 0.772858 | + | 3.38611i | 0.0270887 | + | 0.118683i | ||||
\(815\) | 0.875352 | − | 3.83517i | 0.0306623 | − | 0.134340i | ||||
\(816\) | 21.7429 | − | 8.72734i | 0.761155 | − | 0.305518i | ||||
\(817\) | 4.20844 | − | 1.56303i | 0.147235 | − | 0.0546835i | ||||
\(818\) | 17.9550 | 0.627783 | ||||||||
\(819\) | 0.158521 | + | 0.0361815i | 0.00553919 | + | 0.00126428i | ||||
\(820\) | −1.43544 | − | 6.28907i | −0.0501277 | − | 0.219624i | ||||
\(821\) | −0.230653 | + | 0.478955i | −0.00804983 | + | 0.0167156i | −0.904955 | − | 0.425507i | \(-0.860096\pi\) |
0.896905 | + | 0.442223i | \(0.145810\pi\) | |||||||
\(822\) | 6.45886 | + | 5.15077i | 0.225279 | + | 0.179654i | ||||
\(823\) | − | 12.5027i | − | 0.435815i | −0.975969 | − | 0.217908i | \(-0.930077\pi\) | ||
0.975969 | − | 0.217908i | \(-0.0699232\pi\) | |||||||
\(824\) | 39.4802 | 1.37536 | ||||||||
\(825\) | −0.795745 | + | 0.997833i | −0.0277043 | + | 0.0347401i | ||||
\(826\) | −0.136874 | − | 0.284223i | −0.00476247 | − | 0.00988937i | ||||
\(827\) | −17.0475 | + | 13.5949i | −0.592799 | + | 0.472741i | −0.873347 | − | 0.487099i | \(-0.838055\pi\) |
0.280548 | + | 0.959840i | \(0.409484\pi\) | |||||||
\(828\) | 1.40744 | + | 2.92258i | 0.0489119 | + | 0.101567i | ||||
\(829\) | −0.204198 | + | 0.894648i | −0.00709207 | + | 0.0310724i | −0.978350 | − | 0.206956i | \(-0.933644\pi\) |
0.971258 | + | 0.238029i | \(0.0765013\pi\) | |||||||
\(830\) | 12.6384 | + | 10.0788i | 0.438685 | + | 0.349840i | ||||
\(831\) | 5.24514 | − | 22.9805i | 0.181952 | − | 0.797184i | ||||
\(832\) | 13.6276 | + | 6.56272i | 0.472453 | + | 0.227522i | ||||
\(833\) | −14.2362 | + | 25.1025i | −0.493256 | + | 0.869749i | ||||
\(834\) | −9.99517 | − | 12.5335i | −0.346104 | − | 0.434001i | ||||
\(835\) | 7.02342 | + | 30.7716i | 0.243055 | + | 1.06490i | ||||
\(836\) | −0.0560934 | + | 0.116479i | −0.00194003 | + | 0.00402852i | ||||
\(837\) | −17.1728 | + | 8.26998i | −0.593578 | + | 0.285852i | ||||
\(838\) | 7.18975 | − | 1.64101i | 0.248366 | − | 0.0566879i | ||||
\(839\) | 2.37416 | − | 0.541888i | 0.0819653 | − | 0.0187080i | −0.181342 | − | 0.983420i | \(-0.558044\pi\) |
0.263307 | + | 0.964712i | \(0.415187\pi\) | |||||||
\(840\) | −0.0404506 | − | 0.0839965i | −0.00139568 | − | 0.00289816i | ||||
\(841\) | 10.9515 | + | 5.27396i | 0.377638 | + | 0.181861i | ||||
\(842\) | −4.21320 | − | 18.4593i | −0.145197 | − | 0.636148i | ||||
\(843\) | 17.1141 | − | 13.6480i | 0.589441 | − | 0.470063i | ||||
\(844\) | −1.14684 | + | 0.914571i | −0.0394757 | + | 0.0314808i | ||||
\(845\) | −0.442753 | + | 0.919386i | −0.0152312 | + | 0.0316278i | ||||
\(846\) | −4.51255 | + | 19.7708i | −0.155145 | + | 0.679733i | ||||
\(847\) | 0.244641 | + | 0.195095i | 0.00840597 | + | 0.00670354i | ||||
\(848\) | 0.513206 | − | 2.24850i | 0.0176236 | − | 0.0772138i | ||||
\(849\) | 25.1615 | − | 12.1171i | 0.863539 | − | 0.415858i | ||||
\(850\) | −11.4477 | + | 20.1855i | −0.392653 | + | 0.692356i | ||||
\(851\) | −20.5071 | + | 9.87568i | −0.702973 | + | 0.338534i | ||||
\(852\) | −6.23198 | + | 7.81466i | −0.213504 | + | 0.267726i | ||||
\(853\) | − | 23.2173i | − | 0.794944i | −0.917614 | − | 0.397472i | \(-0.869888\pi\) | ||
0.917614 | − | 0.397472i | \(-0.130112\pi\) | |||||||
\(854\) | 0.165160 | 0.00565164 | ||||||||
\(855\) | −1.06921 | − | 0.852665i | −0.0365661 | − | 0.0291605i | ||||
\(856\) | −18.8825 | + | 39.2098i | −0.645389 | + | 1.34017i | ||||
\(857\) | 41.9846 | − | 9.58271i | 1.43417 | − | 0.327339i | 0.566326 | − | 0.824182i | \(-0.308365\pi\) |
0.867841 | + | 0.496843i | \(0.165507\pi\) | |||||||
\(858\) | −0.458608 | + | 2.00929i | −0.0156566 | + | 0.0685962i | ||||
\(859\) | 13.6761 | 0.466621 | 0.233311 | − | 0.972402i | \(-0.425044\pi\) | ||||
0.233311 | + | 0.972402i | \(0.425044\pi\) | |||||||
\(860\) | −4.63753 | − | 1.52441i | −0.158139 | − | 0.0519819i | ||||
\(861\) | 0.291729i | 0.00994209i | ||||||||
\(862\) | 51.8916 | + | 11.8439i | 1.76744 | + | 0.403406i | ||||
\(863\) | −9.62987 | − | 42.1912i | −0.327805 | − | 1.43621i | −0.823306 | − | 0.567598i | \(-0.807873\pi\) |
0.495501 | − | 0.868607i | \(-0.334984\pi\) | |||||||
\(864\) | −7.80450 | + | 16.2062i | −0.265515 | + | 0.551347i | ||||
\(865\) | −1.14806 | + | 1.43962i | −0.0390352 | + | 0.0489486i | ||||
\(866\) | −24.6699 | −0.838317 | ||||||||
\(867\) | −13.7874 | − | 14.4076i | −0.468245 | − | 0.489309i | ||||
\(868\) | 0.0380561 | − | 0.0477209i | 0.00129171 | − | 0.00161975i | ||||
\(869\) | −1.47641 | + | 0.711003i | −0.0500839 | + | 0.0241191i | ||||
\(870\) | −11.6811 | + | 9.31540i | −0.396028 | + | 0.315821i | ||||
\(871\) | 14.5380 | − | 7.00113i | 0.492601 | − | 0.237224i | ||||
\(872\) | 2.21887 | + | 0.506443i | 0.0751404 | + | 0.0171503i | ||||
\(873\) | 12.3332 | + | 9.83539i | 0.417415 | + | 0.332878i | ||||
\(874\) | −3.55558 | − | 0.811538i | −0.120269 | − | 0.0274507i | ||||
\(875\) | 0.269942 | + | 0.129997i | 0.00912571 | + | 0.00439471i | ||||
\(876\) | −0.337755 | − | 0.423532i | −0.0114117 | − | 0.0143098i | ||||
\(877\) | −32.1355 | + | 25.6272i | −1.08514 | + | 0.865368i | −0.991483 | − | 0.130237i | \(-0.958426\pi\) |
−0.0936545 | + | 0.995605i | \(0.529855\pi\) | |||||||
\(878\) | −57.7971 | + | 13.1918i | −1.95056 | + | 0.445202i | ||||
\(879\) | 9.94532 | − | 20.6517i | 0.335447 | − | 0.696564i | ||||
\(880\) | −1.67507 | + | 0.806673i | −0.0564667 | + | 0.0271929i | ||||
\(881\) | −39.4103 | + | 8.99514i | −1.32777 | + | 0.303054i | −0.826841 | − | 0.562436i | \(-0.809864\pi\) |
−0.500926 | + | 0.865490i | \(0.667007\pi\) | |||||||
\(882\) | −4.08242 | − | 17.8863i | −0.137462 | − | 0.602262i | ||||
\(883\) | 22.7897 | − | 10.9749i | 0.766934 | − | 0.369336i | −0.00915584 | − | 0.999958i | \(-0.502914\pi\) |
0.776090 | + | 0.630622i | \(0.217200\pi\) | |||||||
\(884\) | −0.583664 | + | 8.68575i | −0.0196308 | + | 0.292134i | ||||
\(885\) | 2.18651 | + | 9.57972i | 0.0734987 | + | 0.322019i | ||||
\(886\) | −1.34494 | − | 1.68650i | −0.0451841 | − | 0.0566591i | ||||
\(887\) | −41.6879 | + | 33.2450i | −1.39974 | + | 1.11626i | −0.421964 | + | 0.906612i | \(0.638659\pi\) |
−0.977778 | + | 0.209644i | \(0.932769\pi\) | |||||||
\(888\) | −16.4088 | − | 7.90207i | −0.550644 | − | 0.265176i | ||||
\(889\) | −0.518643 | − | 0.118377i | −0.0173947 | − | 0.00397024i | ||||
\(890\) | −25.4432 | − | 20.2903i | −0.852858 | − | 0.680131i | ||||
\(891\) | 0.453498 | + | 0.103508i | 0.0151927 | + | 0.00346765i | ||||
\(892\) | −2.57909 | + | 1.24202i | −0.0863543 | + | 0.0415860i | ||||
\(893\) | −3.30238 | − | 4.14105i | −0.110510 | − | 0.138575i | ||||
\(894\) | −11.5285 | − | 23.9391i | −0.385570 | − | 0.800644i | ||||
\(895\) | −2.85136 | − | 2.27388i | −0.0953103 | − | 0.0760075i | ||||
\(896\) | 0.391199i | 0.0130690i | ||||||||
\(897\) | −13.5063 | −0.450962 | ||||||||
\(898\) | 34.7223 | + | 27.6901i | 1.15870 | + | 0.924031i | ||||
\(899\) | 20.3107 | + | 9.78111i | 0.677399 | + | 0.326218i | ||||
\(900\) | −0.762616 | − | 3.34124i | −0.0254205 | − | 0.111375i | ||||
\(901\) | −1.93880 | + | 0.307518i | −0.0645907 | + | 0.0102449i | ||||
\(902\) | 4.36401 | 0.145306 | ||||||||
\(903\) | 0.189127 | + | 0.113879i | 0.00629377 | + | 0.00378966i | ||||
\(904\) | − | 6.06198i | − | 0.201619i | ||||||
\(905\) | −3.53098 | + | 15.4702i | −0.117374 | + | 0.514248i | ||||
\(906\) | −3.66089 | + | 0.835575i | −0.121625 | + | 0.0277601i | ||||
\(907\) | 17.8166 | − | 36.9965i | 0.591589 | − | 1.22845i | −0.363352 | − | 0.931652i | \(-0.618368\pi\) |
0.954941 | − | 0.296795i | \(-0.0959179\pi\) | |||||||
\(908\) | −9.01459 | − | 7.18890i | −0.299160 | − | 0.238572i | ||||
\(909\) | 17.2748 | 0.572969 | ||||||||
\(910\) | 0.198785 | 0.00658965 | ||||||||
\(911\) | 0.529259 | + | 0.422070i | 0.0175351 | + | 0.0139838i | 0.632218 | − | 0.774790i | \(-0.282145\pi\) |
−0.614683 | + | 0.788774i | \(0.710716\pi\) | |||||||
\(912\) | −1.68792 | − | 3.50499i | −0.0558925 | − | 0.116062i | ||||
\(913\) | −1.98623 | + | 1.58397i | −0.0657346 | + | 0.0524216i | ||||
\(914\) | 51.0982 | − | 24.6076i | 1.69018 | − | 0.813947i | ||||
\(915\) | −5.01543 | − | 1.14474i | −0.165805 | − | 0.0378439i | ||||
\(916\) | 3.10032 | − | 3.88768i | 0.102438 | − | 0.128453i | ||||
\(917\) | −0.101541 | + | 0.444880i | −0.00335317 | + | 0.0146912i | ||||
\(918\) | 36.0161 | + | 2.42021i | 1.18871 | + | 0.0798787i | ||||
\(919\) | −4.37511 | − | 5.48622i | −0.144322 | − | 0.180974i | 0.704417 | − | 0.709787i | \(-0.251209\pi\) |
−0.848738 | + | 0.528813i | \(0.822637\pi\) | |||||||
\(920\) | −5.69839 | − | 7.14555i | −0.187870 | − | 0.235582i | ||||
\(921\) | −14.1162 | + | 3.22193i | −0.465144 | + | 0.106166i | ||||
\(922\) | −48.4052 | − | 23.3107i | −1.59414 | − | 0.767698i | ||||
\(923\) | 21.3108 | + | 44.2524i | 0.701455 | + | 1.45659i | ||||
\(924\) | −0.00619816 | + | 0.00141469i | −0.000203904 | + | 4.65398e-5i | ||||
\(925\) | 23.4447 | − | 5.35110i | 0.770857 | − | 0.175943i | ||||
\(926\) | −22.7190 | + | 10.9409i | −0.746591 | + | 0.359539i | ||||
\(927\) | 25.6589 | + | 12.3567i | 0.842748 | + | 0.405846i | ||||
\(928\) | 20.7409 | − | 4.73398i | 0.680854 | − | 0.155401i | ||||
\(929\) | 19.3992 | − | 15.4704i | 0.636468 | − | 0.507566i | −0.251269 | − | 0.967917i | \(-0.580848\pi\) |
0.887737 | + | 0.460351i | \(0.152277\pi\) | |||||||
\(930\) | −6.39845 | + | 5.10259i | −0.209813 | + | 0.167321i | ||||
\(931\) | 4.31721 | + | 2.07906i | 0.141491 | + | 0.0681384i | ||||
\(932\) | 12.1994 | + | 2.78443i | 0.399605 | + | 0.0912072i | ||||
\(933\) | 5.12781 | − | 6.43007i | 0.167877 | − | 0.210511i | ||||
\(934\) | −2.51458 | + | 11.0171i | −0.0822797 | + | 0.360491i | ||||
\(935\) | 1.16828 | + | 1.06738i | 0.0382068 | + | 0.0349069i | ||||
\(936\) | 7.95224 | + | 9.97180i | 0.259927 | + | 0.325938i | ||||
\(937\) | 22.0412 | − | 10.6145i | 0.720053 | − | 0.346759i | −0.0377102 | − | 0.999289i | \(-0.512006\pi\) |
0.757763 | + | 0.652529i | \(0.226292\pi\) | |||||||
\(938\) | 0.167518 | + | 0.133591i | 0.00546966 | + | 0.00436191i | ||||
\(939\) | −38.4245 | −1.25394 | ||||||||
\(940\) | 5.75948i | 0.187854i | ||||||||
\(941\) | 41.4182 | + | 33.0299i | 1.35020 | + | 1.07675i | 0.989573 | + | 0.144033i | \(0.0460072\pi\) |
0.360623 | + | 0.932712i | \(0.382564\pi\) | |||||||
\(942\) | 2.08333 | − | 4.32608i | 0.0678786 | − | 0.140951i | ||||
\(943\) | 6.36387 | + | 27.8819i | 0.207236 | + | 0.907961i | ||||
\(944\) | 7.34058 | − | 32.1612i | 0.238916 | − | 1.04676i | ||||
\(945\) | − | 0.191486i | − | 0.00622904i | ||||||
\(946\) | 1.70354 | − | 2.82918i | 0.0553867 | − | 0.0919847i | ||||
\(947\) | 19.0957i | 0.620528i | 0.950650 | + | 0.310264i | \(0.100417\pi\) | ||||
−0.950650 | + | 0.310264i | \(0.899583\pi\) | |||||||
\(948\) | −0.829676 | + | 3.63505i | −0.0269466 | + | 0.118061i | ||||
\(949\) | −2.59523 | + | 0.592344i | −0.0842446 | + | 0.0192283i | ||||
\(950\) | 3.47157 | + | 1.67182i | 0.112633 | + | 0.0542410i | ||||
\(951\) | −12.1406 | + | 15.2238i | −0.393686 | + | 0.493666i | ||||
\(952\) | 0.247230 | − | 0.0992350i | 0.00801277 | − | 0.00321623i | ||||
\(953\) | −5.09717 | −0.165114 | −0.0825568 | − | 0.996586i | \(-0.526309\pi\) | ||||
−0.0825568 | + | 0.996586i | \(0.526309\pi\) | |||||||
\(954\) | 0.778096 | − | 0.975701i | 0.0251918 | − | 0.0315895i | ||||
\(955\) | 13.5891 | + | 28.2180i | 0.439731 | + | 0.913112i | ||||
\(956\) | −0.736193 | − | 0.923156i | −0.0238102 | − | 0.0298570i | ||||
\(957\) | −1.01879 | − | 2.11553i | −0.0329326 | − | 0.0683853i | ||||
\(958\) | −31.4414 | − | 7.17629i | −1.01582 | − | 0.231855i | ||||
\(959\) | 0.0979051 | + | 0.0780767i | 0.00316152 | + | 0.00252123i | ||||
\(960\) | 1.39209 | − | 6.09914i | 0.0449295 | − | 0.196849i | ||||
\(961\) | −16.8047 | − | 8.09271i | −0.542086 | − | 0.261055i | ||||
\(962\) | 30.3607 | − | 24.2118i | 0.978868 | − | 0.780621i | ||||
\(963\) | −24.5441 | + | 19.5733i | −0.790924 | + | 0.630740i | ||||
\(964\) | −14.7711 | + | 3.37142i | −0.475746 | + | 0.108586i | ||||
\(965\) | −18.1357 | − | 8.73369i | −0.583809 | − | 0.281148i | ||||
\(966\) | −0.0778149 | − | 0.161584i | −0.00250365 | − | 0.00519889i | ||||
\(967\) | −7.77276 | − | 34.0547i | −0.249955 | − | 1.09513i | −0.931612 | − | 0.363454i | \(-0.881597\pi\) |
0.681657 | − | 0.731672i | \(-0.261260\pi\) | |||||||
\(968\) | 5.46175 | + | 23.9295i | 0.175547 | + | 0.769123i | ||||
\(969\) | −2.23342 | + | 2.44455i | −0.0717478 | + | 0.0785304i | ||||
\(970\) | 17.3756 | + | 8.36764i | 0.557896 | + | 0.268669i | ||||
\(971\) | 0.845243 | + | 3.70325i | 0.0271251 | + | 0.118843i | 0.986678 | − | 0.162686i | \(-0.0520157\pi\) |
−0.959553 | + | 0.281529i | \(0.909159\pi\) | |||||||
\(972\) | −6.87219 | + | 5.48039i | −0.220426 | + | 0.175784i | ||||
\(973\) | −0.151509 | − | 0.189987i | −0.00485716 | − | 0.00609069i | ||||
\(974\) | −3.05068 | + | 6.33480i | −0.0977501 | + | 0.202980i | ||||
\(975\) | 13.9119 | + | 3.17530i | 0.445538 | + | 0.101691i | ||||
\(976\) | 13.5029 | + | 10.7682i | 0.432218 | + | 0.344682i | ||||
\(977\) | 1.99837 | − | 8.75542i | 0.0639334 | − | 0.280111i | −0.932849 | − | 0.360268i | \(-0.882685\pi\) |
0.996782 | + | 0.0801575i | \(0.0255423\pi\) | |||||||
\(978\) | 5.45548 | − | 2.62722i | 0.174447 | − | 0.0840093i | ||||
\(979\) | 3.99861 | − | 3.18878i | 0.127796 | − | 0.101914i | ||||
\(980\) | −2.26075 | − | 4.69450i | −0.0722171 | − | 0.149960i | ||||
\(981\) | 1.28358 | + | 1.02362i | 0.0409814 | + | 0.0326816i | ||||
\(982\) | 56.0036 | 1.78715 | ||||||||
\(983\) | − | 7.58884i | − | 0.242046i | −0.992650 | − | 0.121023i | \(-0.961382\pi\) | ||
0.992650 | − | 0.121023i | \(-0.0386176\pi\) | |||||||
\(984\) | −14.2677 | + | 17.8911i | −0.454837 | + | 0.570348i | ||||
\(985\) | 14.9207 | + | 7.18543i | 0.475413 | + | 0.228947i | ||||
\(986\) | −24.3209 | − | 35.0885i | −0.774536 | − | 1.11744i | ||||
\(987\) | 0.0579588 | − | 0.253934i | 0.00184485 | − | 0.00808282i | ||||
\(988\) | 1.44547 | 0.0459864 | ||||||||
\(989\) | 20.5600 | + | 6.75831i | 0.653771 | + | 0.214902i | ||||
\(990\) | −1.00602 | −0.0319734 | ||||||||
\(991\) | 26.9366 | + | 6.14810i | 0.855669 | + | 0.195301i | 0.627784 | − | 0.778387i | \(-0.283962\pi\) |
0.227885 | + | 0.973688i | \(0.426819\pi\) | |||||||
\(992\) | 11.3610 | − | 2.59308i | 0.360713 | − | 0.0823304i | ||||
\(993\) | −10.1724 | + | 21.1231i | −0.322810 | + | 0.670321i | ||||
\(994\) | −0.406640 | + | 0.509910i | −0.0128978 | + | 0.0161734i | ||||
\(995\) | 0.697550 | 0.0221138 | ||||||||
\(996\) | 5.78037i | 0.183158i | ||||||||
\(997\) | −7.32268 | − | 5.83964i | −0.231911 | − | 0.184943i | 0.500639 | − | 0.865656i | \(-0.333099\pi\) |
−0.732550 | + | 0.680713i | \(0.761670\pi\) | |||||||
\(998\) | 10.3846 | + | 21.5638i | 0.328718 | + | 0.682590i | ||||
\(999\) | −23.3229 | − | 29.2460i | −0.737904 | − | 0.925302i |
(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 | 731.2.p.a.594.16 | yes | 384 | |
17.16 | even | 2 | inner | 731.2.p.a.594.15 | yes | 384 | |
43.16 | even | 7 | inner | 731.2.p.a.16.15 | ✓ | 384 | |
731.16 | even | 14 | inner | 731.2.p.a.16.16 | yes | 384 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.p.a.16.15 | ✓ | 384 | 43.16 | even | 7 | inner | |
731.2.p.a.16.16 | yes | 384 | 731.16 | even | 14 | inner | |
731.2.p.a.594.15 | yes | 384 | 17.16 | even | 2 | inner | |
731.2.p.a.594.16 | yes | 384 | 1.1 | even | 1 | trivial |