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 | 594.15 | ||
Character | \(\chi\) | \(=\) | 731.594 |
Dual form | 731.2.p.a.16.15 |
$q$-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 | −0.539513 | − | 0.841978i | \(-0.681391\pi\) |
−0.120764 | + | 0.992681i | \(0.538534\pi\) | |||||||
\(4\) | −0.545279 | − | 0.262592i | −0.272639 | − | 0.131296i | ||||
\(5\) | −0.961694 | − | 0.766926i | −0.430083 | − | 0.342980i | 0.384401 | − | 0.923166i | \(-0.374408\pi\) |
−0.814483 | + | 0.580187i | \(0.802980\pi\) | |||||||
\(6\) | − | 1.89337i | − | 0.772965i | ||||||
\(7\) | − | 0.0287002i | − | 0.0108476i | −0.999985 | − | 0.00542382i | \(-0.998274\pi\) | ||
0.999985 | − | 0.00542382i | \(-0.00172646\pi\) | |||||||
\(8\) | −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 | 0.920381 | − | 0.391023i | \(-0.127879\pi\) |
−0.879562 | + | 0.475784i | \(0.842164\pi\) | |||||||
\(12\) | 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 | ||||
\(17\) | 3.94917 | − | 1.18492i | 0.957815 | − | 0.287386i | ||||
\(18\) | −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 | 0.696656 | − | 0.717406i | \(-0.254671\pi\) |
−0.995248 | + | 0.0973721i | \(0.968956\pi\) | |||||||
\(24\) | 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 | −0.401965 | − | 0.915655i | \(-0.631673\pi\) |
−0.759446 | + | 0.650570i | \(0.774530\pi\) | |||||||
\(30\) | −1.45207 | + | 1.82084i | −0.265111 | + | 0.332439i | ||||
\(31\) | −3.42590 | − | 0.781939i | −0.615310 | − | 0.140440i | −0.0965040 | − | 0.995333i | \(-0.530766\pi\) |
−0.518806 | + | 0.854892i | \(0.673623\pi\) | |||||||
\(32\) | 2.98781 | − | 1.43885i | 0.528175 | − | 0.254356i | ||||
\(33\) | −0.228205 | − | 0.286161i | −0.0397255 | − | 0.0498142i | ||||
\(34\) | 0.446194 | + | 6.64000i | 0.0765216 | + | 1.13875i | ||||
\(35\) | −0.0220109 | + | 0.0276008i | −0.00372052 | + | 0.00466539i | ||||
\(36\) | 0.982850 | 0.163808 | ||||||||
\(37\) | − | 6.89643i | − | 1.13377i | −0.823798 | − | 0.566883i | \(-0.808149\pi\) | ||
0.823798 | − | 0.566883i | \(-0.191851\pi\) | |||||||
\(38\) | −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 | −0.495833 | − | 0.868418i | \(-0.665137\pi\) |
−0.823522 | + | 0.567284i | \(0.807994\pi\) | |||||||
\(42\) | −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 | ||||||||
\(51\) | −4.20710 | + | 2.38595i | −0.589112 | + | 0.334100i | ||||
\(52\) | 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 | 0.00587596 | − | 0.999983i | \(-0.498130\pi\) |
0.439170 | + | 0.898404i | \(0.355272\pi\) | |||||||
\(62\) | 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 | \(0.734033\pi\) | |||||||
\(68\) | −2.46455 | − | 0.390910i | −0.298871 | − | 0.0474047i | ||||
\(69\) | 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 | \(0.457644\pi\) |
−0.857640 | + | 0.514251i | \(0.828070\pi\) | |||||||
\(72\) | 0.813539 | − | 3.56435i | 0.0958765 | − | 0.420063i | ||||
\(73\) | −0.596573 | − | 0.475751i | −0.0698236 | − | 0.0556824i | 0.587956 | − | 0.808893i | \(-0.299933\pi\) |
−0.657780 | + | 0.753210i | \(0.728504\pi\) | |||||||
\(74\) | 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 | \(0.0954668\pi\) | ||||
−0.955361 | + | 0.295442i | \(0.904533\pi\) | |||||||
\(80\) | 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 | \(0.0212929\pi\) |
−0.569835 | + | 0.821759i | \(0.692993\pi\) | |||||||
\(98\) | −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 | \(0.820376\pi\) | |||||||
\(102\) | −2.24350 | − | 7.47724i | −0.222139 | − | 0.740357i | ||||
\(103\) | −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 | −0.990241 | − | 0.139363i | \(-0.955495\pi\) |
−0.831709 | + | 0.555211i | \(0.812637\pi\) | |||||||
\(108\) | −3.20044 | + | 0.730480i | −0.307963 | + | 0.0702905i | ||||
\(109\) | 0.438635 | + | 0.910836i | 0.0420136 | + | 0.0872422i | 0.920919 | − | 0.389754i | \(-0.127440\pi\) |
−0.878905 | + | 0.476996i | \(0.841726\pi\) | |||||||
\(110\) | 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 | −0.519447 | − | 0.854502i | \(-0.673862\pi\) |
0.717490 | + | 0.696568i | \(0.245291\pi\) | |||||||
\(114\) | 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 | ||||
\(119\) | −0.0340075 | − | 0.113342i | −0.00311746 | − | 0.0103900i | ||||
\(120\) | −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 | −0.517076 | − | 0.855940i | \(-0.672979\pi\) |
−0.837247 | + | 0.546824i | \(0.815837\pi\) | |||||||
\(132\) | 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 | −0.301170 | − | 0.953570i | \(-0.597377\pi\) |
0.862646 | + | 0.505808i | \(0.168806\pi\) | |||||||
\(140\) | 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 | ||||
\(153\) | −4.94331 | + | 4.51636i | −0.399643 | + | 0.365126i | ||||
\(154\) | 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 | 0.948217 | − | 0.317624i | \(-0.102885\pi\) |
−0.839532 | + | 0.543310i | \(0.817171\pi\) | |||||||
\(164\) | 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 | \(-0.823912\pi\) |
−0.701568 | − | 0.712602i | \(-0.747516\pi\) | |||||||
\(168\) | −0.0682869 | − | 0.0328852i | −0.00526845 | − | 0.00253715i | ||||
\(169\) | 0.184601 | + | 0.808792i | 0.0142001 | + | 0.0622147i | ||||
\(170\) | 4.66328 | − | 6.72785i | 0.357657 | − | 0.516002i | ||||
\(171\) | −1.11180 | −0.0850212 | ||||||||
\(172\) | −3.72035 | + | 1.38175i | −0.283674 | + | 0.105357i | ||||
\(173\) | − | 1.49696i | − | 0.113812i | −0.998380 | − | 0.0569060i | \(-0.981876\pi\) | ||
0.998380 | − | 0.0569060i | \(-0.0181235\pi\) | |||||||
\(174\) | −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 | \(-0.983698\pi\) |
0.582650 | − | 0.812723i | \(-0.302016\pi\) | |||||||
\(182\) | −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 | ||||
\(187\) | 0.867747 | + | 0.949778i | 0.0634560 | + | 0.0694547i | ||||
\(188\) | 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 | 0.394370 | − | 0.918952i | \(-0.370963\pi\) |
0.754033 | + | 0.656836i | \(0.228106\pi\) | |||||||
\(194\) | −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 | −0.662847 | − | 0.748755i | \(-0.730652\pi\) |
−0.272332 | + | 0.962203i | \(0.587795\pi\) | |||||||
\(198\) | 0.639435 | − | 0.509932i | 0.0454426 | − | 0.0362393i | ||||
\(199\) | −0.443368 | + | 0.353574i | −0.0314296 | + | 0.0250642i | −0.639079 | − | 0.769141i | \(-0.720684\pi\) |
0.607649 | + | 0.794206i | \(0.292113\pi\) | |||||||
\(200\) | 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 | ||||
\(204\) | 2.92058 | − | 0.196257i | 0.204481 | − | 0.0137407i | ||||
\(205\) | 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 | −0.934026 | − | 0.357206i | \(-0.883729\pi\) |
0.861630 | + | 0.507537i | \(0.169444\pi\) | |||||||
\(212\) | −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 | −0.443984 | − | 0.896035i | \(-0.646435\pi\) |
−0.788791 | + | 0.614662i | \(0.789292\pi\) | |||||||
\(228\) | 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 | 0.496550 | − | 0.868008i | \(-0.334600\pi\) |
0.823991 | + | 0.566603i | \(0.191743\pi\) | |||||||
\(234\) | 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 | ||||
\(238\) | 0.190569 | − | 0.0128058i | 0.0123528 | − | 0.000830079i | ||||
\(239\) | 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 | \(0.584245\pi\) |
−0.999190 | + | 0.0402532i | \(0.987184\pi\) | |||||||
\(242\) | 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 | ||||
\(255\) | 5.87580 | + | 0.931977i | 0.367957 | + | 0.0583627i | ||||
\(256\) | −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 | 0.999671 | − | 0.0256330i | \(-0.00816013\pi\) |
−0.643326 | + | 0.765593i | \(0.722446\pi\) | |||||||
\(270\) | 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 | \(0.162413\pi\) | |||||||
\(272\) | −16.4152 | − | 11.3779i | −0.995320 | − | 0.689888i | ||||
\(273\) | −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 | \(0.349154\pi\) |
−0.980205 | + | 0.197986i | \(0.936560\pi\) | |||||||
\(278\) | 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 | −0.847097 | − | 0.531439i | \(-0.821652\pi\) |
−0.532625 | + | 0.846351i | \(0.678794\pi\) | |||||||
\(284\) | 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 | ||||
\(289\) | 14.1919 | − | 9.35893i | 0.834819 | − | 0.550525i | ||||
\(290\) | −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 | ||||
\(306\) | −5.33149 | − | 9.40090i | −0.304781 | − | 0.537414i | ||||
\(307\) | −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 | −0.766462 | − | 0.642290i | \(-0.777985\pi\) |
0.455632 | + | 0.890168i | \(0.349413\pi\) | |||||||
\(312\) | 3.99732 | + | 8.30052i | 0.226304 | + | 0.469925i | ||||
\(313\) | 31.9350 | + | 7.28896i | 1.80507 | + | 0.411997i | 0.986682 | − | 0.162662i | \(-0.0520081\pi\) |
0.818393 | + | 0.574659i | \(0.194865\pi\) | |||||||
\(314\) | 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 | −0.187141 | − | 0.982333i | \(-0.559922\pi\) |
0.916061 | + | 0.401038i | \(0.131351\pi\) | |||||||
\(318\) | 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 | ||||
\(323\) | 2.78789 | + | 0.442195i | 0.155122 | + | 0.0246044i | ||||
\(324\) | 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 | \(-0.748621\pi\) | ||
0.704036 | − | 0.710164i | \(-0.251379\pi\) | |||||||
\(338\) | −1.33902 | −0.0728329 | ||||||||
\(339\) | −1.96937 | + | 2.46952i | −0.106962 | + | 0.134126i | ||||
\(340\) | 2.07035 | + | 2.26606i | 0.112280 | + | 0.122895i | ||||
\(341\) | −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 | 0.511499 | − | 0.859284i | \(-0.329090\pi\) |
0.833674 | + | 0.552257i | \(0.186233\pi\) | |||||||
\(348\) | −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 | ||||
\(357\) | 0.0684773 | + | 0.120745i | 0.00362420 | + | 0.00639048i | ||||
\(358\) | 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 | 0.966455 | − | 0.256836i | \(-0.0826799\pi\) |
−0.803377 | + | 0.595471i | \(0.796966\pi\) | |||||||
\(368\) | −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 | \(0.0474911\pi\) | |||||||
\(374\) | −1.80623 | + | 1.02436i | −0.0933981 | + | 0.0529684i | ||||
\(375\) | 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 | 0.527342 | − | 0.849653i | \(-0.323189\pi\) |
−0.711006 | + | 0.703186i | \(0.751760\pi\) | |||||||
\(380\) | 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 | ||||
\(391\) | −9.17867 | − | 10.0464i | −0.464185 | − | 0.508066i | ||||
\(392\) | −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 | 0.221946 | − | 0.975059i | \(-0.428759\pi\) |
1.00000 | 0.000589276i | \(0.000187572\pi\) | ||||||||
\(398\) | −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 | 0.555515 | − | 0.831507i | \(-0.312521\pi\) |
0.139724 | + | 0.990190i | \(0.455378\pi\) | |||||||
\(402\) | −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 | ||||
\(408\) | 1.70573 | − | 10.7541i | 0.0844462 | − | 0.532405i | ||||
\(409\) | −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 | 0.943764 | − | 0.330621i | \(-0.107258\pi\) |
−0.846917 | + | 0.531726i | \(0.821544\pi\) | |||||||
\(420\) | −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 | ||||||||
\(425\) | −7.09245 | − | 12.5060i | −0.344034 | − | 0.606629i | ||||
\(426\) | 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 | \(0.292114\pi\) | ||||
−0.607646 | + | 0.794208i | \(0.707886\pi\) | |||||||
\(432\) | −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 | \(-0.802733\pi\) |
0.0534395 | − | 0.998571i | \(-0.482982\pi\) | |||||||
\(440\) | 0.538723 | + | 0.675537i | 0.0256826 | + | 0.0322050i | ||||
\(441\) | −10.2408 | + | 4.93172i | −0.487659 | + | 0.234844i | ||||
\(442\) | −19.0812 | − | 13.2257i | −0.907598 | − | 0.629085i | ||||
\(443\) | −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 | \(0.367780\pi\) |
−0.966949 | + | 0.254969i | \(0.917935\pi\) | |||||||
\(450\) | −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 | ||||
\(459\) | 12.7402 | − | 18.3806i | 0.594660 | − | 0.857932i | ||||
\(460\) | 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 | ||||
\(476\) | −0.0112192 | + | 0.0707330i | −0.000514230 | + | 0.00324204i | ||||
\(477\) | −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 | \(-0.849115\pi\) | ||
0.889740 | − | 0.456467i | \(-0.150885\pi\) | |||||||
\(480\) | 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 | 0.125211 | − | 0.992130i | \(-0.460039\pi\) |
−0.317658 | + | 0.948205i | \(0.602896\pi\) | |||||||
\(488\) | −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 | ||||
\(493\) | −26.3912 | + | 1.77343i | −1.18860 | + | 0.0798713i | ||||
\(494\) | −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 | −0.847640 | − | 0.530573i | \(-0.821977\pi\) |
0.328652 | + | 0.944451i | \(0.393406\pi\) | |||||||
\(500\) | 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 | −0.175733 | − | 0.984438i | \(-0.556230\pi\) |
−0.998860 | + | 0.0477308i | \(0.984801\pi\) | |||||||
\(504\) | −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 | 0.292325 | − | 0.956319i | \(-0.405571\pi\) |
−0.867294 | + | 0.497796i | \(0.834143\pi\) | |||||||
\(522\) | 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 | ||||
\(527\) | −14.4560 | + | 0.971413i | −0.629713 | + | 0.0423154i | ||||
\(528\) | −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 | −0.847762 | − | 0.530377i | \(-0.822051\pi\) |
−0.533686 | + | 0.845683i | \(0.679193\pi\) | |||||||
\(542\) | 5.37561 | + | 6.74080i | 0.230902 | + | 0.289542i | ||||
\(543\) | 9.43503 | + | 11.8312i | 0.404896 | + | 0.507723i | ||||
\(544\) | 10.0944 | − | 9.22260i | 0.432796 | − | 0.395416i | ||||
\(545\) | 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 | −0.163447 | − | 0.986552i | \(-0.552261\pi\) |
−0.575309 | + | 0.817936i | \(0.695118\pi\) | |||||||
\(548\) | −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 | ||||||||
\(561\) | −1.24030 | − | 0.859692i | −0.0523655 | − | 0.0362962i | ||||
\(562\) | 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 | 0.815242 | − | 0.579120i | \(-0.196604\pi\) |
0.483237 | + | 0.875490i | \(0.339461\pi\) | |||||||
\(572\) | 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 | \(-0.179371\pi\) | |||||||
\(578\) | 9.62998 | + | 25.6938i | 0.400554 | + | 1.06872i | ||||
\(579\) | −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 | \(0.217003\pi\) | ||||
−0.776482 | + | 0.630140i | \(0.782997\pi\) | |||||||
\(602\) | 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 | 0.517300 | − | 0.855804i | \(-0.326937\pi\) |
−0.719237 | + | 0.694764i | \(0.755509\pi\) | |||||||
\(608\) | 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 | ||||
\(612\) | 3.88144 | − | 1.16460i | 0.156898 | − | 0.0470762i | ||||
\(613\) | 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 | \(-0.709056\pi\) |
0.999865 | − | 0.0164291i | \(-0.00522979\pi\) | |||||||
\(618\) | −25.9596 | + | 20.7021i | −1.04425 | + | 0.832760i | ||||
\(619\) | −14.6075 | + | 11.6491i | −0.587124 | + | 0.468216i | −0.871431 | − | 0.490517i | \(-0.836808\pi\) |
0.284307 | + | 0.958733i | \(0.408236\pi\) | |||||||
\(620\) | −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 | ||||
\(629\) | −8.17173 | − | 27.2352i | −0.325828 | − | 1.08594i | ||||
\(630\) | 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 | \(-0.597781\pi\) |
0.933763 | − | 0.357892i | \(-0.116505\pi\) | |||||||
\(642\) | 8.14446 | + | 35.6832i | 0.321436 | + | 1.40830i | ||||
\(643\) | −2.51697 | − | 0.574483i | −0.0992597 | − | 0.0226554i | 0.172603 | − | 0.984992i | \(-0.444782\pi\) |
−0.271862 | + | 0.962336i | \(0.587640\pi\) | |||||||
\(644\) | 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 | \(0.00219086\pi\) |
0.229226 | + | 0.973373i | \(0.426381\pi\) | |||||||
\(654\) | 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 | ||||
\(663\) | 2.64322 | − | 16.6646i | 0.102654 | − | 0.647200i | ||||
\(664\) | 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 | −0.948989 | − | 0.315310i | \(-0.897891\pi\) |
0.838204 | + | 0.545356i | \(0.183606\pi\) | |||||||
\(674\) | 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 | 0.987232 | − | 0.159291i | \(-0.0509208\pi\) |
−0.740068 | + | 0.672533i | \(0.765207\pi\) | |||||||
\(678\) | −3.17870 | − | 3.98597i | −0.122077 | − | 0.153080i | ||||
\(679\) | 0.251176 | − | 0.120960i | 0.00963925 | − | 0.00464202i | ||||
\(680\) | 9.93168 | − | 5.63250i | 0.380862 | − | 0.215997i | ||||
\(681\) | 22.3480 | 0.856376 | ||||||||
\(682\) | 1.76973 | 0.0677664 | ||||||||
\(683\) | −1.86737 | − | 1.48918i | −0.0714528 | − | 0.0569817i | 0.587112 | − | 0.809506i | \(-0.300265\pi\) |
−0.658565 | + | 0.752524i | \(0.728836\pi\) | |||||||
\(684\) | 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 | −0.386265 | − | 0.922388i | \(-0.626235\pi\) |
0.0521960 | + | 0.998637i | \(0.483378\pi\) | |||||||
\(692\) | −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 | ||||
\(697\) | −35.6474 | + | 2.39543i | −1.35024 | + | 0.0907333i | ||||
\(698\) | −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 | −0.200684 | − | 0.979656i | \(-0.564317\pi\) |
0.244246 | + | 0.969713i | \(0.421459\pi\) | |||||||
\(710\) | 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 | ||||
\(714\) | −0.214598 | + | 0.0643887i | −0.00803113 | + | 0.00240969i | ||||
\(715\) | 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 | 0.613931 | − | 0.789360i | \(-0.289587\pi\) |
0.210642 | + | 0.977563i | \(0.432444\pi\) | |||||||
\(720\) | −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 | ||||||||
\(731\) | 12.3623 | − | 24.0452i | 0.457238 | − | 0.889344i | ||||
\(732\) | 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 | 0.506408 | − | 0.862294i | \(-0.330973\pi\) |
0.0821219 | + | 0.996622i | \(0.473830\pi\) | |||||||
\(744\) | −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 | ||||
\(748\) | −0.223760 | − | 0.745758i | −0.00818146 | − | 0.0272676i | ||||
\(749\) | 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 | 0.980497 | − | 0.196535i | \(-0.0629690\pi\) |
−0.764987 | + | 0.644046i | \(0.777255\pi\) | |||||||
\(752\) | 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 | ||||
\(765\) | 8.21767 | − | 0.552210i | 0.297110 | − | 0.0199652i | ||||
\(766\) | 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 | ||||||||
\(782\) | 19.1056 | − | 10.8353i | 0.683215 | − | 0.387468i | ||||
\(783\) | −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 | 0.250879 | − | 0.968019i | \(-0.419280\pi\) |
−0.887923 | + | 0.459993i | \(0.847852\pi\) | |||||||
\(788\) | 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 | ||||
\(799\) | −31.5050 | − | 4.99710i | −1.11457 | − | 0.176785i | ||||
\(800\) | −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 | 0.988336 | − | 0.152287i | \(-0.0486639\pi\) |
0.0714563 | + | 0.997444i | \(0.477235\pi\) | |||||||
\(810\) | 2.95982i | 0.103998i | ||||||||
\(811\) | 21.9763i | 0.771692i | 0.922563 | + | 0.385846i | \(0.126090\pi\) | ||||
−0.922563 | + | 0.385846i | \(0.873910\pi\) | |||||||
\(812\) | 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 | −0.896905 | − | 0.442223i | \(-0.854190\pi\) |
0.904955 | + | 0.425507i | \(0.139904\pi\) | |||||||
\(822\) | −6.45886 | − | 5.15077i | −0.225279 | − | 0.179654i | ||||
\(823\) | 12.5027i | 0.435815i | 0.975969 | + | 0.217908i | \(0.0699232\pi\) | ||||
−0.975969 | + | 0.217908i | \(0.930077\pi\) | |||||||
\(824\) | 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 | −0.280548 | − | 0.959840i | \(-0.590516\pi\) |
0.873347 | + | 0.487099i | \(0.161945\pi\) | |||||||
\(828\) | −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 | ||||
\(833\) | 27.6410 | − | 8.29348i | 0.957702 | − | 0.287352i | ||||
\(834\) | −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 | −0.263307 | − | 0.964712i | \(-0.584813\pi\) |
0.181342 | + | 0.983420i | \(0.441956\pi\) | |||||||
\(840\) | 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 | ||||
\(850\) | 22.2267 | − | 6.66898i | 0.762371 | − | 0.228744i | ||||
\(851\) | −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 | \(0.130112\pi\) | ||||
−0.917614 | + | 0.397472i | \(0.869888\pi\) | |||||||
\(854\) | 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 | −0.867841 | − | 0.496843i | \(-0.834493\pi\) |
−0.566326 | + | 0.824182i | \(0.691635\pi\) | |||||||
\(858\) | −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 | 0.0936545 | − | 0.995605i | \(-0.470145\pi\) |
0.991483 | + | 0.130237i | \(0.0415737\pi\) | |||||||
\(878\) | 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 | 0.500926 | − | 0.865490i | \(-0.332993\pi\) |
0.826841 | + | 0.562436i | \(0.190136\pi\) | |||||||
\(882\) | −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 | \(0.217200\pi\) | |||||||
\(884\) | 6.42689 | − | 5.87181i | 0.216160 | − | 0.197490i | ||||
\(885\) | 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 | \(-0.361341\pi\) |
0.977778 | − | 0.209644i | \(-0.0672307\pi\) | |||||||
\(888\) | −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 | ||||
\(901\) | 1.61337 | + | 1.11828i | 0.0537491 | + | 0.0372552i | ||||
\(902\) | 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 | \(0.381632\pi\) |
−0.954941 | + | 0.296795i | \(0.904082\pi\) | |||||||
\(908\) | 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 | 0.614683 | − | 0.788774i | \(-0.289284\pi\) |
−0.632218 | + | 0.774790i | \(0.717855\pi\) | |||||||
\(912\) | 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 | ||||
\(918\) | 24.3479 | + | 26.6495i | 0.803599 | + | 0.879566i | ||||
\(919\) | −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 | −0.887737 | − | 0.460351i | \(-0.847723\pi\) |
0.251269 | + | 0.967917i | \(0.419152\pi\) | |||||||
\(930\) | 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 | ||||
\(935\) | −0.106098 | − | 1.57889i | −0.00346979 | − | 0.0516354i | ||||
\(936\) | 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 | \(-0.953993\pi\) |
−0.360623 | − | 0.932712i | \(-0.617436\pi\) | |||||||
\(942\) | −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 | \(-0.899583\pi\) | ||
0.950650 | − | 0.310264i | \(-0.100417\pi\) | |||||||
\(948\) | −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 | ||||
\(969\) | −3.30374 | + | 0.222005i | −0.106132 | + | 0.00713182i | ||||
\(970\) | 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 | \(0.0386176\pi\) | ||||
−0.992650 | + | 0.121023i | \(0.961382\pi\) | |||||||
\(984\) | −14.2677 | + | 17.8911i | −0.454837 | + | 0.570348i | ||||
\(985\) | 14.9207 | + | 7.18543i | 0.475413 | + | 0.228947i | ||||
\(986\) | 6.68808 | − | 42.1661i | 0.212992 | − | 1.34284i | ||||
\(987\) | 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 | −0.227885 | − | 0.973688i | \(-0.573181\pi\) |
−0.627784 | + | 0.778387i | \(0.716038\pi\) | |||||||
\(992\) | −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 | 0.732550 | − | 0.680713i | \(-0.238330\pi\) |
−0.500639 | + | 0.865656i | \(0.666901\pi\) | |||||||
\(998\) | −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.594.15 | yes | 384 | |
17.16 | even | 2 | inner | 731.2.p.a.594.16 | yes | 384 | |
43.16 | even | 7 | inner | 731.2.p.a.16.16 | yes | 384 | |
731.16 | even | 14 | inner | 731.2.p.a.16.15 | ✓ | 384 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.p.a.16.15 | ✓ | 384 | 731.16 | even | 14 | inner | |
731.2.p.a.16.16 | yes | 384 | 43.16 | even | 7 | inner | |
731.2.p.a.594.15 | yes | 384 | 1.1 | even | 1 | trivial | |
731.2.p.a.594.16 | yes | 384 | 17.16 | even | 2 | inner |