Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,2,Mod(4,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.m (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.790518980011\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 49.5 | ||
Character | \(\chi\) | \(=\) | 99.49 |
Dual form | 99.2.m.b.97.5 |
$q$-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 \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.190802 | − | 0.211907i | 0.134917 | − | 0.149841i | −0.671900 | − | 0.740642i | \(-0.734522\pi\) |
0.806817 | + | 0.590801i | \(0.201188\pi\) | |||||||
\(3\) | 0.988333 | − | 1.42239i | 0.570614 | − | 0.821218i | ||||
\(4\) | 0.200558 | + | 1.90818i | 0.100279 | + | 0.954090i | ||||
\(5\) | 1.81250 | + | 2.01298i | 0.810573 | + | 0.900233i | 0.996607 | − | 0.0823107i | \(-0.0262300\pi\) |
−0.186034 | + | 0.982543i | \(0.559563\pi\) | |||||||
\(6\) | −0.112839 | − | 0.480829i | −0.0460662 | − | 0.196297i | ||||
\(7\) | −3.72118 | − | 1.65677i | −1.40647 | − | 0.626202i | −0.443616 | − | 0.896217i | \(-0.646305\pi\) |
−0.962856 | + | 0.270015i | \(0.912971\pi\) | |||||||
\(8\) | 0.904002 | + | 0.656796i | 0.319613 | + | 0.232212i | ||||
\(9\) | −1.04640 | − | 2.81159i | −0.348799 | − | 0.937198i | ||||
\(10\) | 0.772391 | 0.244251 | ||||||||
\(11\) | 1.48164 | − | 2.96728i | 0.446732 | − | 0.894668i | ||||
\(12\) | 2.91240 | + | 1.60065i | 0.840736 | + | 0.462066i | ||||
\(13\) | −3.76680 | − | 0.800659i | −1.04472 | − | 0.222063i | −0.346580 | − | 0.938021i | \(-0.612657\pi\) |
−0.698144 | + | 0.715958i | \(0.745990\pi\) | |||||||
\(14\) | −1.06109 | + | 0.472427i | −0.283588 | + | 0.126261i | ||||
\(15\) | 4.65460 | − | 0.588584i | 1.20181 | − | 0.151972i | ||||
\(16\) | −3.44186 | + | 0.731590i | −0.860465 | + | 0.182898i | ||||
\(17\) | −1.33502 | + | 4.10876i | −0.323789 | + | 0.996520i | 0.648195 | + | 0.761474i | \(0.275524\pi\) |
−0.971984 | + | 0.235046i | \(0.924476\pi\) | |||||||
\(18\) | −0.795449 | − | 0.314718i | −0.187489 | − | 0.0741798i | ||||
\(19\) | 1.31246 | + | 0.953561i | 0.301100 | + | 0.218762i | 0.728068 | − | 0.685505i | \(-0.240418\pi\) |
−0.426968 | + | 0.904267i | \(0.640418\pi\) | |||||||
\(20\) | −3.47762 | + | 3.86229i | −0.777619 | + | 0.863634i | ||||
\(21\) | −6.03434 | + | 3.65553i | −1.31680 | + | 0.797701i | ||||
\(22\) | −0.346086 | − | 0.880131i | −0.0737859 | − | 0.187644i | ||||
\(23\) | 0.932117 | − | 1.61447i | 0.194360 | − | 0.336641i | −0.752331 | − | 0.658786i | \(-0.771070\pi\) |
0.946691 | + | 0.322145i | \(0.104404\pi\) | |||||||
\(24\) | 1.82768 | − | 0.636712i | 0.373073 | − | 0.129968i | ||||
\(25\) | −0.244308 | + | 2.32444i | −0.0488616 | + | 0.464887i | ||||
\(26\) | −0.888377 | + | 0.645443i | −0.174225 | + | 0.126582i | ||||
\(27\) | −5.03337 | − | 1.29041i | −0.968673 | − | 0.248339i | ||||
\(28\) | 2.41511 | − | 7.43295i | 0.456413 | − | 1.40470i | ||||
\(29\) | 3.24614 | + | 1.44528i | 0.602793 | + | 0.268381i | 0.685360 | − | 0.728205i | \(-0.259645\pi\) |
−0.0825663 | + | 0.996586i | \(0.526312\pi\) | |||||||
\(30\) | 0.763380 | − | 1.09864i | 0.139373 | − | 0.200584i | ||||
\(31\) | 4.75829 | + | 1.01141i | 0.854614 | + | 0.181654i | 0.614330 | − | 0.789049i | \(-0.289426\pi\) |
0.240283 | + | 0.970703i | \(0.422760\pi\) | |||||||
\(32\) | −1.61909 | + | 2.80435i | −0.286218 | + | 0.495744i | ||||
\(33\) | −2.75628 | − | 5.04013i | −0.479806 | − | 0.877374i | ||||
\(34\) | 0.615950 | + | 1.06686i | 0.105634 | + | 0.182964i | ||||
\(35\) | −3.40956 | − | 10.4936i | −0.576321 | − | 1.77374i | ||||
\(36\) | 5.15516 | − | 2.56060i | 0.859194 | − | 0.426766i | ||||
\(37\) | −6.26542 | + | 4.55210i | −1.03003 | + | 0.748360i | −0.968314 | − | 0.249734i | \(-0.919657\pi\) |
−0.0617145 | + | 0.998094i | \(0.519657\pi\) | |||||||
\(38\) | 0.452486 | − | 0.0961788i | 0.0734029 | − | 0.0156023i | ||||
\(39\) | −4.86171 | + | 4.56655i | −0.778496 | + | 0.731234i | ||||
\(40\) | 0.316383 | + | 3.01018i | 0.0500245 | + | 0.475951i | ||||
\(41\) | 6.27802 | − | 2.79515i | 0.980462 | − | 0.436530i | 0.147018 | − | 0.989134i | \(-0.453033\pi\) |
0.833444 | + | 0.552604i | \(0.186366\pi\) | |||||||
\(42\) | −0.376732 | + | 1.97620i | −0.0581310 | + | 0.304934i | ||||
\(43\) | −0.492496 | − | 0.853027i | −0.0751049 | − | 0.130085i | 0.826027 | − | 0.563631i | \(-0.190596\pi\) |
−0.901132 | + | 0.433545i | \(0.857262\pi\) | |||||||
\(44\) | 5.95925 | + | 2.23213i | 0.898391 | + | 0.336506i | ||||
\(45\) | 3.76310 | − | 7.20238i | 0.560969 | − | 1.07367i | ||||
\(46\) | −0.164268 | − | 0.505566i | −0.0242200 | − | 0.0745416i | ||||
\(47\) | −0.613200 | + | 5.83421i | −0.0894445 | + | 0.851007i | 0.854177 | + | 0.519982i | \(0.174061\pi\) |
−0.943622 | + | 0.331026i | \(0.892605\pi\) | |||||||
\(48\) | −2.36110 | + | 5.61873i | −0.340795 | + | 0.810994i | ||||
\(49\) | 6.41834 | + | 7.12829i | 0.916906 | + | 1.01833i | ||||
\(50\) | 0.445949 | + | 0.495276i | 0.0630667 | + | 0.0700426i | ||||
\(51\) | 4.52482 | + | 5.95974i | 0.633602 | + | 0.834530i | ||||
\(52\) | 0.772339 | − | 7.34832i | 0.107104 | − | 1.01903i | ||||
\(53\) | −0.485721 | − | 1.49489i | −0.0667189 | − | 0.205340i | 0.912139 | − | 0.409881i | \(-0.134430\pi\) |
−0.978858 | + | 0.204541i | \(0.934430\pi\) | |||||||
\(54\) | −1.23382 | + | 0.820393i | −0.167902 | + | 0.111641i | ||||
\(55\) | 8.65855 | − | 2.39567i | 1.16752 | − | 0.323032i | ||||
\(56\) | −2.27579 | − | 3.94178i | −0.304115 | − | 0.526743i | ||||
\(57\) | 2.65349 | − | 0.924402i | 0.351463 | − | 0.122440i | ||||
\(58\) | 0.925632 | − | 0.412118i | 0.121541 | − | 0.0541137i | ||||
\(59\) | −1.18770 | − | 11.3002i | −0.154626 | − | 1.47117i | −0.746634 | − | 0.665235i | \(-0.768331\pi\) |
0.592008 | − | 0.805932i | \(-0.298335\pi\) | |||||||
\(60\) | 2.05664 | + | 8.76376i | 0.265511 | + | 1.13140i | ||||
\(61\) | 8.41938 | − | 1.78960i | 1.07799 | − | 0.229134i | 0.365498 | − | 0.930812i | \(-0.380899\pi\) |
0.712494 | + | 0.701678i | \(0.247566\pi\) | |||||||
\(62\) | 1.12221 | − | 0.815335i | 0.142521 | − | 0.103548i | ||||
\(63\) | −0.764353 | + | 12.1961i | −0.0962994 | + | 1.53656i | ||||
\(64\) | −1.88937 | − | 5.81490i | −0.236172 | − | 0.726862i | ||||
\(65\) | −5.21561 | − | 9.03370i | −0.646916 | − | 1.12049i | ||||
\(66\) | −1.59394 | − | 0.377592i | −0.196200 | − | 0.0464783i | ||||
\(67\) | 0.870282 | − | 1.50737i | 0.106322 | − | 0.184155i | −0.807956 | − | 0.589243i | \(-0.799426\pi\) |
0.914277 | + | 0.405088i | \(0.132759\pi\) | |||||||
\(68\) | −8.10800 | − | 1.72341i | −0.983239 | − | 0.208994i | ||||
\(69\) | −1.37517 | − | 2.92147i | −0.165551 | − | 0.351704i | ||||
\(70\) | −2.87420 | − | 1.27968i | −0.343533 | − | 0.152951i | ||||
\(71\) | −1.77418 | + | 5.46036i | −0.210556 | + | 0.648026i | 0.788883 | + | 0.614543i | \(0.210660\pi\) |
−0.999439 | + | 0.0334822i | \(0.989340\pi\) | |||||||
\(72\) | 0.900699 | − | 3.22896i | 0.106148 | − | 0.380536i | ||||
\(73\) | 3.27379 | − | 2.37855i | 0.383168 | − | 0.278388i | −0.379482 | − | 0.925199i | \(-0.623898\pi\) |
0.762650 | + | 0.646811i | \(0.223898\pi\) | |||||||
\(74\) | −0.230833 | + | 2.19623i | −0.0268338 | + | 0.255307i | ||||
\(75\) | 3.06480 | + | 2.64482i | 0.353893 | + | 0.305397i | ||||
\(76\) | −1.55634 | + | 2.69566i | −0.178524 | + | 0.309213i | ||||
\(77\) | −10.4296 | + | 8.58702i | −1.18856 | + | 0.978582i | ||||
\(78\) | 0.0400613 | + | 1.90153i | 0.00453605 | + | 0.215306i | ||||
\(79\) | −2.86398 | + | 3.18077i | −0.322223 | + | 0.357864i | −0.882393 | − | 0.470513i | \(-0.844069\pi\) |
0.560171 | + | 0.828377i | \(0.310736\pi\) | |||||||
\(80\) | −7.71104 | − | 5.60240i | −0.862120 | − | 0.626367i | ||||
\(81\) | −6.81011 | + | 5.88408i | −0.756679 | + | 0.653786i | ||||
\(82\) | 0.605544 | − | 1.86367i | 0.0668711 | − | 0.205808i | ||||
\(83\) | 6.35814 | − | 1.35146i | 0.697897 | − | 0.148343i | 0.154717 | − | 0.987959i | \(-0.450554\pi\) |
0.543180 | + | 0.839616i | \(0.317220\pi\) | |||||||
\(84\) | −8.18563 | − | 10.7815i | −0.893126 | − | 1.17635i | ||||
\(85\) | −10.6906 | + | 4.75975i | −1.15956 | + | 0.516267i | ||||
\(86\) | −0.274731 | − | 0.0583959i | −0.0296250 | − | 0.00629699i | ||||
\(87\) | 5.26402 | − | 3.18887i | 0.564362 | − | 0.341883i | ||||
\(88\) | 3.28830 | − | 1.70929i | 0.350534 | − | 0.182211i | ||||
\(89\) | 9.26243 | 0.981816 | 0.490908 | − | 0.871211i | \(-0.336665\pi\) | ||||
0.490908 | + | 0.871211i | \(0.336665\pi\) | |||||||
\(90\) | −0.808227 | − | 2.17165i | −0.0851946 | − | 0.228912i | ||||
\(91\) | 12.6904 | + | 9.22014i | 1.33032 | + | 0.966533i | ||||
\(92\) | 3.26765 | + | 1.45485i | 0.340676 | + | 0.151679i | ||||
\(93\) | 6.14139 | − | 5.76854i | 0.636832 | − | 0.598170i | ||||
\(94\) | 1.11931 | + | 1.24312i | 0.115448 | + | 0.128218i | ||||
\(95\) | 0.459336 | + | 4.37029i | 0.0471269 | + | 0.448382i | ||||
\(96\) | 2.38868 | + | 5.07461i | 0.243794 | + | 0.517926i | ||||
\(97\) | −4.96005 | + | 5.50870i | −0.503617 | + | 0.559323i | −0.940324 | − | 0.340280i | \(-0.889478\pi\) |
0.436707 | + | 0.899604i | \(0.356145\pi\) | |||||||
\(98\) | 2.73516 | 0.276293 | ||||||||
\(99\) | −9.89316 | − | 1.06082i | −0.994300 | − | 0.106617i | ||||
\(100\) | −4.48444 | −0.448444 | ||||||||
\(101\) | −9.17887 | + | 10.1942i | −0.913332 | + | 1.01436i | 0.0865045 | + | 0.996251i | \(0.472430\pi\) |
−0.999836 | + | 0.0181060i | \(0.994236\pi\) | |||||||
\(102\) | 2.12625 | + | 0.178287i | 0.210530 | + | 0.0176531i | ||||
\(103\) | −0.530508 | − | 5.04744i | −0.0522725 | − | 0.497339i | −0.989068 | − | 0.147462i | \(-0.952890\pi\) |
0.936795 | − | 0.349878i | \(-0.113777\pi\) | |||||||
\(104\) | −2.87933 | − | 3.19782i | −0.282341 | − | 0.313572i | ||||
\(105\) | −18.2957 | − | 5.52140i | −1.78548 | − | 0.538833i | ||||
\(106\) | −0.409454 | − | 0.182301i | −0.0397697 | − | 0.0177066i | ||||
\(107\) | 2.24824 | + | 1.63344i | 0.217346 | + | 0.157911i | 0.691131 | − | 0.722730i | \(-0.257113\pi\) |
−0.473785 | + | 0.880640i | \(0.657113\pi\) | |||||||
\(108\) | 1.45284 | − | 9.86338i | 0.139800 | − | 0.949104i | ||||
\(109\) | −17.3573 | −1.66253 | −0.831263 | − | 0.555879i | \(-0.812382\pi\) | ||||
−0.831263 | + | 0.555879i | \(0.812382\pi\) | |||||||
\(110\) | 1.14441 | − | 2.29190i | 0.109115 | − | 0.218524i | ||||
\(111\) | 0.282539 | + | 13.4109i | 0.0268174 | + | 1.27290i | ||||
\(112\) | 14.0199 | + | 2.98001i | 1.32475 | + | 0.281585i | ||||
\(113\) | 0.862071 | − | 0.383819i | 0.0810968 | − | 0.0361066i | −0.365787 | − | 0.930698i | \(-0.619200\pi\) |
0.446884 | + | 0.894592i | \(0.352534\pi\) | |||||||
\(114\) | 0.310403 | − | 0.738669i | 0.0290719 | − | 0.0691827i | ||||
\(115\) | 4.93937 | − | 1.04989i | 0.460598 | − | 0.0979032i | ||||
\(116\) | −2.10681 | + | 6.48408i | −0.195612 | + | 0.602032i | ||||
\(117\) | 1.69044 | + | 11.4285i | 0.156281 | + | 1.05657i | ||||
\(118\) | −2.62121 | − | 1.90442i | −0.241302 | − | 0.175316i | ||||
\(119\) | 11.7751 | − | 13.0776i | 1.07942 | − | 1.19882i | ||||
\(120\) | 4.59435 | + | 2.52504i | 0.419405 | + | 0.230504i | ||||
\(121\) | −6.60948 | − | 8.79288i | −0.600862 | − | 0.799353i | ||||
\(122\) | 1.22720 | − | 2.12558i | 0.111106 | − | 0.192441i | ||||
\(123\) | 2.22897 | − | 11.6923i | 0.200979 | − | 1.05426i | ||||
\(124\) | −0.975631 | + | 9.28251i | −0.0876143 | + | 0.833594i | ||||
\(125\) | 5.83521 | − | 4.23953i | 0.521917 | − | 0.379195i | ||||
\(126\) | 2.43859 | + | 2.48900i | 0.217247 | + | 0.221738i | ||||
\(127\) | 0.757216 | − | 2.33047i | 0.0671920 | − | 0.206796i | −0.911823 | − | 0.410583i | \(-0.865325\pi\) |
0.979015 | + | 0.203787i | \(0.0653251\pi\) | |||||||
\(128\) | −7.50917 | − | 3.34330i | −0.663723 | − | 0.295508i | ||||
\(129\) | −1.70009 | − | 0.142554i | −0.149684 | − | 0.0125511i | ||||
\(130\) | −2.90945 | − | 0.618422i | −0.255175 | − | 0.0542392i | ||||
\(131\) | −1.99869 | + | 3.46183i | −0.174626 | + | 0.302461i | −0.940032 | − | 0.341087i | \(-0.889205\pi\) |
0.765406 | + | 0.643548i | \(0.222538\pi\) | |||||||
\(132\) | 9.06469 | − | 6.27031i | 0.788980 | − | 0.545760i | ||||
\(133\) | −3.30407 | − | 5.72282i | −0.286500 | − | 0.496232i | ||||
\(134\) | −0.153371 | − | 0.472027i | −0.0132492 | − | 0.0407769i | ||||
\(135\) | −6.52541 | − | 12.4709i | −0.561618 | − | 1.07333i | ||||
\(136\) | −3.90547 | + | 2.83749i | −0.334892 | + | 0.243313i | ||||
\(137\) | −1.06545 | + | 0.226469i | −0.0910278 | + | 0.0193486i | −0.253200 | − | 0.967414i | \(-0.581483\pi\) |
0.162173 | + | 0.986762i | \(0.448150\pi\) | |||||||
\(138\) | −0.881465 | − | 0.266014i | −0.0750353 | − | 0.0226446i | ||||
\(139\) | −0.301557 | − | 2.86912i | −0.0255777 | − | 0.243356i | −0.999839 | − | 0.0179347i | \(-0.994291\pi\) |
0.974261 | − | 0.225421i | \(-0.0723758\pi\) | |||||||
\(140\) | 19.3398 | − | 8.61062i | 1.63451 | − | 0.727731i | ||||
\(141\) | 7.69249 | + | 6.63836i | 0.647824 | + | 0.559050i | ||||
\(142\) | 0.818570 | + | 1.41780i | 0.0686929 | + | 0.118980i | ||||
\(143\) | −7.95683 | + | 9.99087i | −0.665383 | + | 0.835478i | ||||
\(144\) | 5.65848 | + | 8.91158i | 0.471540 | + | 0.742632i | ||||
\(145\) | 2.97431 | + | 9.15398i | 0.247003 | + | 0.760197i | ||||
\(146\) | 0.120614 | − | 1.14757i | 0.00998210 | − | 0.0949733i | ||||
\(147\) | 16.4827 | − | 2.08427i | 1.35947 | − | 0.171908i | ||||
\(148\) | −9.94279 | − | 11.0426i | −0.817293 | − | 0.907695i | ||||
\(149\) | 13.4996 | + | 14.9928i | 1.10593 | + | 1.22826i | 0.971425 | + | 0.237346i | \(0.0762774\pi\) |
0.134504 | + | 0.990913i | \(0.457056\pi\) | |||||||
\(150\) | 1.14522 | − | 0.144816i | 0.0935070 | − | 0.0118242i | ||||
\(151\) | 1.15800 | − | 11.0177i | 0.0942370 | − | 0.896605i | −0.840631 | − | 0.541609i | \(-0.817815\pi\) |
0.934868 | − | 0.354996i | \(-0.115518\pi\) | |||||||
\(152\) | 0.560175 | + | 1.72404i | 0.0454362 | + | 0.139838i | ||||
\(153\) | 12.9491 | − | 0.545864i | 1.04687 | − | 0.0441305i | ||||
\(154\) | −0.170330 | + | 3.84851i | −0.0137255 | + | 0.310122i | ||||
\(155\) | 6.58844 | + | 11.4115i | 0.529196 | + | 0.916595i | ||||
\(156\) | −9.68885 | − | 8.36115i | −0.775729 | − | 0.669428i | ||||
\(157\) | 0.304014 | − | 0.135356i | 0.0242629 | − | 0.0108025i | −0.394569 | − | 0.918866i | \(-0.629106\pi\) |
0.418832 | + | 0.908064i | \(0.362440\pi\) | |||||||
\(158\) | 0.127575 | + | 1.21379i | 0.0101493 | + | 0.0965640i | ||||
\(159\) | −2.60638 | − | 0.786569i | −0.206699 | − | 0.0623790i | ||||
\(160\) | −8.57970 | + | 1.82367i | −0.678285 | + | 0.144174i | ||||
\(161\) | −6.14339 | + | 4.46344i | −0.484167 | + | 0.351768i | ||||
\(162\) | −0.0525050 | + | 2.56580i | −0.00412518 | + | 0.201588i | ||||
\(163\) | 4.12168 | + | 12.6852i | 0.322835 | + | 0.993584i | 0.972408 | + | 0.233285i | \(0.0749475\pi\) |
−0.649574 | + | 0.760299i | \(0.725053\pi\) | |||||||
\(164\) | 6.59276 | + | 11.4190i | 0.514808 | + | 0.891674i | ||||
\(165\) | 5.14995 | − | 14.6836i | 0.400923 | − | 1.14311i | ||||
\(166\) | 0.926759 | − | 1.60519i | 0.0719304 | − | 0.124587i | ||||
\(167\) | 18.5018 | + | 3.93268i | 1.43171 | + | 0.304320i | 0.857541 | − | 0.514415i | \(-0.171991\pi\) |
0.574172 | + | 0.818735i | \(0.305324\pi\) | |||||||
\(168\) | −7.85600 | − | 0.658730i | −0.606103 | − | 0.0508221i | ||||
\(169\) | 1.67166 | + | 0.744272i | 0.128589 | + | 0.0572517i | ||||
\(170\) | −1.03115 | + | 3.17357i | −0.0790860 | + | 0.243402i | ||||
\(171\) | 1.30767 | − | 4.68791i | 0.0999999 | − | 0.358494i | ||||
\(172\) | 1.52896 | − | 1.11085i | 0.116582 | − | 0.0847016i | ||||
\(173\) | 0.158265 | − | 1.50579i | 0.0120327 | − | 0.114483i | −0.986857 | − | 0.161597i | \(-0.948336\pi\) |
0.998890 | + | 0.0471135i | \(0.0150022\pi\) | |||||||
\(174\) | 0.328640 | − | 1.72392i | 0.0249141 | − | 0.130690i | ||||
\(175\) | 4.76018 | − | 8.24487i | 0.359836 | − | 0.623254i | ||||
\(176\) | −2.92877 | + | 11.2969i | −0.220764 | + | 0.851537i | ||||
\(177\) | −17.2472 | − | 9.47903i | −1.29638 | − | 0.712487i | ||||
\(178\) | 1.76729 | − | 1.96277i | 0.132464 | − | 0.147116i | ||||
\(179\) | −10.6703 | − | 7.75244i | −0.797537 | − | 0.579445i | 0.112653 | − | 0.993634i | \(-0.464065\pi\) |
−0.910191 | + | 0.414190i | \(0.864065\pi\) | |||||||
\(180\) | 14.4981 | + | 5.73617i | 1.08063 | + | 0.427549i | ||||
\(181\) | 0.864886 | − | 2.66185i | 0.0642865 | − | 0.197853i | −0.913754 | − | 0.406267i | \(-0.866830\pi\) |
0.978041 | + | 0.208414i | \(0.0668301\pi\) | |||||||
\(182\) | 4.37516 | − | 0.929969i | 0.324308 | − | 0.0689339i | ||||
\(183\) | 5.77565 | − | 13.7444i | 0.426948 | − | 1.01601i | ||||
\(184\) | 1.90302 | − | 0.847278i | 0.140292 | − | 0.0624621i | ||||
\(185\) | −20.5193 | − | 4.36152i | −1.50861 | − | 0.320665i | ||||
\(186\) | −0.0506061 | − | 2.40205i | −0.00371062 | − | 0.176127i | ||||
\(187\) | 10.2138 | + | 10.0491i | 0.746908 | + | 0.734861i | ||||
\(188\) | −11.2557 | −0.820907 | ||||||||
\(189\) | 16.5922 | + | 13.1410i | 1.20690 | + | 0.955867i | ||||
\(190\) | 1.01374 | + | 0.736522i | 0.0735441 | + | 0.0534329i | ||||
\(191\) | −15.2942 | − | 6.80940i | −1.10665 | − | 0.492711i | −0.229682 | − | 0.973266i | \(-0.573769\pi\) |
−0.876965 | + | 0.480555i | \(0.840435\pi\) | |||||||
\(192\) | −10.1384 | − | 3.05962i | −0.731675 | − | 0.220809i | ||||
\(193\) | −14.7472 | − | 16.3784i | −1.06153 | − | 1.17895i | −0.983296 | − | 0.182011i | \(-0.941739\pi\) |
−0.0782316 | − | 0.996935i | \(-0.524927\pi\) | |||||||
\(194\) | 0.220943 | + | 2.10214i | 0.0158628 | + | 0.150925i | ||||
\(195\) | −18.0042 | − | 1.50966i | −1.28931 | − | 0.108109i | ||||
\(196\) | −12.3148 | + | 13.6770i | −0.879629 | + | 0.976927i | ||||
\(197\) | 18.2247 | 1.29845 | 0.649227 | − | 0.760595i | \(-0.275093\pi\) | ||||
0.649227 | + | 0.760595i | \(0.275093\pi\) | |||||||
\(198\) | −2.11243 | + | 1.89402i | −0.150124 | + | 0.134602i | ||||
\(199\) | −25.0958 | −1.77899 | −0.889497 | − | 0.456942i | \(-0.848945\pi\) | ||||
−0.889497 | + | 0.456942i | \(0.848945\pi\) | |||||||
\(200\) | −1.74753 | + | 1.94083i | −0.123569 | + | 0.137238i | ||||
\(201\) | −1.28395 | − | 2.72767i | −0.0905625 | − | 0.192395i | ||||
\(202\) | 0.408869 | + | 3.89012i | 0.0287679 | + | 0.273708i | ||||
\(203\) | −9.68497 | − | 10.7563i | −0.679752 | − | 0.754941i | ||||
\(204\) | −10.4648 | + | 9.82945i | −0.732680 | + | 0.688199i | ||||
\(205\) | 17.0055 | + | 7.57133i | 1.18771 | + | 0.528804i | ||||
\(206\) | −1.17081 | − | 0.850642i | −0.0815741 | − | 0.0592670i | ||||
\(207\) | −5.51461 | − | 0.931355i | −0.383292 | − | 0.0647337i | ||||
\(208\) | 13.5506 | 0.939563 | ||||||||
\(209\) | 4.77408 | − | 2.48161i | 0.330230 | − | 0.171657i | ||||
\(210\) | −4.66087 | + | 2.82350i | −0.321631 | + | 0.194840i | ||||
\(211\) | −8.08930 | − | 1.71943i | −0.556891 | − | 0.118371i | −0.0791356 | − | 0.996864i | \(-0.525216\pi\) |
−0.477755 | + | 0.878493i | \(0.658549\pi\) | |||||||
\(212\) | 2.75511 | − | 1.22666i | 0.189222 | − | 0.0842470i | ||||
\(213\) | 6.01329 | + | 7.92023i | 0.412024 | + | 0.542685i | ||||
\(214\) | 0.775105 | − | 0.164754i | 0.0529851 | − | 0.0112623i | ||||
\(215\) | 0.824482 | − | 2.53749i | 0.0562292 | − | 0.173056i | ||||
\(216\) | −3.70265 | − | 4.47243i | −0.251933 | − | 0.304310i | ||||
\(217\) | −16.0308 | − | 11.6470i | −1.08824 | − | 0.790652i | ||||
\(218\) | −3.31180 | + | 3.67812i | −0.224303 | + | 0.249114i | ||||
\(219\) | −0.147631 | − | 7.00740i | −0.00997600 | − | 0.473516i | ||||
\(220\) | 6.30790 | + | 16.0416i | 0.425279 | + | 1.08152i | ||||
\(221\) | 8.31846 | − | 14.4080i | 0.559560 | − | 0.969187i | ||||
\(222\) | 2.89576 | + | 2.49894i | 0.194351 | + | 0.167718i | ||||
\(223\) | 0.768502 | − | 7.31181i | 0.0514627 | − | 0.489635i | −0.938187 | − | 0.346129i | \(-0.887496\pi\) |
0.989650 | − | 0.143506i | \(-0.0458375\pi\) | |||||||
\(224\) | 10.6711 | − | 7.75301i | 0.712993 | − | 0.518020i | ||||
\(225\) | 6.79101 | − | 1.74538i | 0.452734 | − | 0.116359i | ||||
\(226\) | 0.0831507 | − | 0.255912i | 0.00553110 | − | 0.0170230i | ||||
\(227\) | −17.3036 | − | 7.70408i | −1.14848 | − | 0.511338i | −0.257906 | − | 0.966170i | \(-0.583032\pi\) |
−0.890577 | + | 0.454832i | \(0.849699\pi\) | |||||||
\(228\) | 2.29610 | + | 4.87793i | 0.152063 | + | 0.323049i | ||||
\(229\) | 7.68770 | + | 1.63407i | 0.508017 | + | 0.107982i | 0.454788 | − | 0.890600i | \(-0.349715\pi\) |
0.0532297 | + | 0.998582i | \(0.483048\pi\) | |||||||
\(230\) | 0.719959 | − | 1.24701i | 0.0474727 | − | 0.0822251i | ||||
\(231\) | 1.90623 | + | 23.3218i | 0.125421 | + | 1.53446i | ||||
\(232\) | 1.98527 | + | 3.43859i | 0.130339 | + | 0.225754i | ||||
\(233\) | −2.03006 | − | 6.24789i | −0.132994 | − | 0.409313i | 0.862279 | − | 0.506434i | \(-0.169037\pi\) |
−0.995273 | + | 0.0971212i | \(0.969037\pi\) | |||||||
\(234\) | 2.74432 | + | 1.82236i | 0.179402 | + | 0.119132i | ||||
\(235\) | −12.8556 | + | 9.34013i | −0.838606 | + | 0.609283i | ||||
\(236\) | 21.3247 | − | 4.53271i | 1.38812 | − | 0.295054i | ||||
\(237\) | 1.69374 | + | 7.21736i | 0.110020 | + | 0.468818i | ||||
\(238\) | −0.524517 | − | 4.99045i | −0.0339994 | − | 0.323483i | ||||
\(239\) | −23.3377 | + | 10.3906i | −1.50959 | + | 0.672113i | −0.983925 | − | 0.178580i | \(-0.942850\pi\) |
−0.525664 | + | 0.850692i | \(0.676183\pi\) | |||||||
\(240\) | −15.5899 | + | 5.43108i | −1.00632 | + | 0.350575i | ||||
\(241\) | 1.49099 | + | 2.58247i | 0.0960432 | + | 0.166352i | 0.910044 | − | 0.414513i | \(-0.136048\pi\) |
−0.814000 | + | 0.580864i | \(0.802715\pi\) | |||||||
\(242\) | −3.12437 | − | 0.277103i | −0.200842 | − | 0.0178129i | ||||
\(243\) | 1.63880 | + | 15.5021i | 0.105129 | + | 0.994459i | ||||
\(244\) | 5.10344 | + | 15.7068i | 0.326714 | + | 1.00552i | ||||
\(245\) | −2.71589 | + | 25.8400i | −0.173512 | + | 1.65086i | ||||
\(246\) | −2.05239 | − | 2.70325i | −0.130856 | − | 0.172353i | ||||
\(247\) | −4.18032 | − | 4.64271i | −0.265987 | − | 0.295409i | ||||
\(248\) | 3.63722 | + | 4.03954i | 0.230963 | + | 0.256511i | ||||
\(249\) | 4.36165 | − | 10.3795i | 0.276408 | − | 0.657772i | ||||
\(250\) | 0.214983 | − | 2.04543i | 0.0135967 | − | 0.129364i | ||||
\(251\) | 3.60577 | + | 11.0974i | 0.227594 | + | 0.700463i | 0.998018 | + | 0.0629308i | \(0.0200447\pi\) |
−0.770424 | + | 0.637532i | \(0.779955\pi\) | |||||||
\(252\) | −23.4256 | + | 0.987495i | −1.47567 | + | 0.0622064i | ||||
\(253\) | −3.40953 | − | 5.15792i | −0.214355 | − | 0.324276i | ||||
\(254\) | −0.349364 | − | 0.605116i | −0.0219211 | − | 0.0379684i | ||||
\(255\) | −3.79562 | + | 19.9104i | −0.237691 | + | 1.24684i | ||||
\(256\) | 9.02987 | − | 4.02036i | 0.564367 | − | 0.251272i | ||||
\(257\) | −2.16630 | − | 20.6109i | −0.135130 | − | 1.28567i | −0.826402 | − | 0.563080i | \(-0.809616\pi\) |
0.691273 | − | 0.722594i | \(-0.257050\pi\) | |||||||
\(258\) | −0.354587 | + | 0.333060i | −0.0220757 | + | 0.0207354i | ||||
\(259\) | 30.8565 | − | 6.55876i | 1.91733 | − | 0.407541i | ||||
\(260\) | 16.1919 | − | 11.7641i | 1.00418 | − | 0.729578i | ||||
\(261\) | 0.666778 | − | 10.6392i | 0.0412725 | − | 0.658547i | ||||
\(262\) | 0.352231 | + | 1.08406i | 0.0217609 | + | 0.0669732i | ||||
\(263\) | −4.54273 | − | 7.86823i | −0.280117 | − | 0.485176i | 0.691297 | − | 0.722571i | \(-0.257040\pi\) |
−0.971413 | + | 0.237395i | \(0.923706\pi\) | |||||||
\(264\) | 0.818659 | − | 6.36660i | 0.0503850 | − | 0.391837i | ||||
\(265\) | 2.12883 | − | 3.68724i | 0.130773 | − | 0.226505i | ||||
\(266\) | −1.84313 | − | 0.391769i | −0.113009 | − | 0.0240209i | ||||
\(267\) | 9.15437 | − | 13.1748i | 0.560238 | − | 0.806285i | ||||
\(268\) | 3.05088 | + | 1.35834i | 0.186362 | + | 0.0829737i | ||||
\(269\) | 2.45399 | − | 7.55261i | 0.149623 | − | 0.460491i | −0.847954 | − | 0.530070i | \(-0.822166\pi\) |
0.997576 | + | 0.0695792i | \(0.0221656\pi\) | |||||||
\(270\) | −3.88773 | − | 0.996698i | −0.236600 | − | 0.0606571i | ||||
\(271\) | −3.01249 | + | 2.18870i | −0.182995 | + | 0.132954i | −0.675512 | − | 0.737349i | \(-0.736077\pi\) |
0.492516 | + | 0.870303i | \(0.336077\pi\) | |||||||
\(272\) | 1.58901 | − | 15.1185i | 0.0963481 | − | 0.916691i | ||||
\(273\) | 25.6570 | − | 8.93820i | 1.55283 | − | 0.540964i | ||||
\(274\) | −0.155300 | + | 0.268987i | −0.00938201 | + | 0.0162501i | ||||
\(275\) | 6.53527 | + | 4.16891i | 0.394092 | + | 0.251395i | ||||
\(276\) | 5.29890 | − | 3.21000i | 0.318956 | − | 0.193219i | ||||
\(277\) | −2.61004 | + | 2.89874i | −0.156822 | + | 0.174168i | −0.816436 | − | 0.577436i | \(-0.804053\pi\) |
0.659614 | + | 0.751605i | \(0.270720\pi\) | |||||||
\(278\) | −0.665523 | − | 0.483531i | −0.0399154 | − | 0.0290003i | ||||
\(279\) | −2.13539 | − | 14.4367i | −0.127843 | − | 0.864302i | ||||
\(280\) | 3.80987 | − | 11.7256i | 0.227684 | − | 0.700738i | ||||
\(281\) | −0.0387572 | + | 0.00823810i | −0.00231206 | + | 0.000491444i | −0.209068 | − | 0.977901i | \(-0.567043\pi\) |
0.206756 | + | 0.978393i | \(0.433710\pi\) | |||||||
\(282\) | 2.87445 | − | 0.363480i | 0.171171 | − | 0.0216449i | ||||
\(283\) | 5.84109 | − | 2.60062i | 0.347217 | − | 0.154591i | −0.225716 | − | 0.974193i | \(-0.572472\pi\) |
0.572933 | + | 0.819602i | \(0.305806\pi\) | |||||||
\(284\) | −10.7752 | − | 2.29033i | −0.639389 | − | 0.135906i | ||||
\(285\) | 6.67024 | + | 3.66595i | 0.395111 | + | 0.217152i | ||||
\(286\) | 0.598955 | + | 3.59238i | 0.0354169 | + | 0.212422i | ||||
\(287\) | −27.9925 | −1.65235 | ||||||||
\(288\) | 9.57890 | + | 1.61777i | 0.564442 | + | 0.0953279i | ||||
\(289\) | −1.34634 | − | 0.978174i | −0.0791965 | − | 0.0575397i | ||||
\(290\) | 2.50729 | + | 1.11632i | 0.147233 | + | 0.0655524i | ||||
\(291\) | 2.93334 | + | 12.4996i | 0.171955 | + | 0.732737i | ||||
\(292\) | 5.19528 | + | 5.76994i | 0.304031 | + | 0.337660i | ||||
\(293\) | 2.44674 | + | 23.2792i | 0.142940 | + | 1.35998i | 0.797200 | + | 0.603715i | \(0.206314\pi\) |
−0.654260 | + | 0.756270i | \(0.727020\pi\) | |||||||
\(294\) | 2.70325 | − | 3.89047i | 0.157657 | − | 0.226897i | ||||
\(295\) | 20.5945 | − | 22.8725i | 1.19906 | − | 1.33169i | ||||
\(296\) | −8.65375 | −0.502989 | ||||||||
\(297\) | −11.2866 | + | 13.0235i | −0.654918 | + | 0.755700i | ||||
\(298\) | 5.75282 | 0.333252 | ||||||||
\(299\) | −4.80375 | + | 5.33510i | −0.277808 | + | 0.308537i | ||||
\(300\) | −4.43212 | + | 6.37863i | −0.255888 | + | 0.368270i | ||||
\(301\) | 0.419389 | + | 3.99022i | 0.0241732 | + | 0.229992i | ||||
\(302\) | −2.11377 | − | 2.34758i | −0.121634 | − | 0.135088i | ||||
\(303\) | 5.42832 | + | 23.1312i | 0.311849 | + | 1.32885i | ||||
\(304\) | −5.21493 | − | 2.32184i | −0.299097 | − | 0.133166i | ||||
\(305\) | 18.8625 | + | 13.7044i | 1.08007 | + | 0.784713i | ||||
\(306\) | 2.35504 | − | 2.84815i | 0.134629 | − | 0.162818i | ||||
\(307\) | 29.1494 | 1.66365 | 0.831823 | − | 0.555042i | \(-0.187298\pi\) | ||||
0.831823 | + | 0.555042i | \(0.187298\pi\) | |||||||
\(308\) | −18.4773 | − | 18.1793i | −1.05284 | − | 1.03586i | ||||
\(309\) | −7.70376 | − | 4.23397i | −0.438252 | − | 0.240862i | ||||
\(310\) | 3.67526 | + | 0.781200i | 0.208741 | + | 0.0443692i | ||||
\(311\) | −18.0021 | + | 8.01504i | −1.02080 | + | 0.454491i | −0.847736 | − | 0.530418i | \(-0.822035\pi\) |
−0.173068 | + | 0.984910i | \(0.555368\pi\) | |||||||
\(312\) | −7.39429 | + | 0.935024i | −0.418619 | + | 0.0529353i | ||||
\(313\) | −1.30913 | + | 0.278264i | −0.0739964 | + | 0.0157284i | −0.244761 | − | 0.969583i | \(-0.578710\pi\) |
0.170765 | + | 0.985312i | \(0.445376\pi\) | |||||||
\(314\) | 0.0293235 | − | 0.0902485i | 0.00165482 | − | 0.00509302i | ||||
\(315\) | −25.9359 | + | 20.5667i | −1.46132 | + | 1.15880i | ||||
\(316\) | −6.64387 | − | 4.82706i | −0.373747 | − | 0.271543i | ||||
\(317\) | 2.67712 | − | 2.97324i | 0.150362 | − | 0.166994i | −0.663258 | − | 0.748391i | \(-0.730827\pi\) |
0.813620 | + | 0.581397i | \(0.197494\pi\) | |||||||
\(318\) | −0.663980 | + | 0.402230i | −0.0372342 | + | 0.0225560i | ||||
\(319\) | 9.09815 | − | 7.49083i | 0.509399 | − | 0.419406i | ||||
\(320\) | 8.28080 | − | 14.3428i | 0.462911 | − | 0.801785i | ||||
\(321\) | 4.54540 | − | 1.58349i | 0.253700 | − | 0.0883820i | ||||
\(322\) | −0.226337 | + | 2.15346i | −0.0126133 | + | 0.120007i | ||||
\(323\) | −5.67011 | + | 4.11958i | −0.315493 | + | 0.229219i | ||||
\(324\) | −12.5937 | − | 11.8148i | −0.699650 | − | 0.656379i | ||||
\(325\) | 2.78134 | − | 8.56008i | 0.154281 | − | 0.474828i | ||||
\(326\) | 3.47451 | + | 1.54695i | 0.192435 | + | 0.0856776i | ||||
\(327\) | −17.1548 | + | 24.6889i | −0.948661 | + | 1.36530i | ||||
\(328\) | 7.51119 | + | 1.59655i | 0.414736 | + | 0.0881548i | ||||
\(329\) | 11.9478 | − | 20.6942i | 0.658704 | − | 1.14091i | ||||
\(330\) | −2.12892 | − | 3.89295i | −0.117193 | − | 0.214300i | ||||
\(331\) | −1.59017 | − | 2.75425i | −0.0874034 | − | 0.151387i | 0.819009 | − | 0.573780i | \(-0.194524\pi\) |
−0.906413 | + | 0.422393i | \(0.861190\pi\) | |||||||
\(332\) | 3.85401 | + | 11.8614i | 0.211516 | + | 0.650980i | ||||
\(333\) | 19.3548 | + | 12.8525i | 1.06063 | + | 0.704314i | ||||
\(334\) | 4.36353 | − | 3.17029i | 0.238762 | − | 0.173471i | ||||
\(335\) | 4.61169 | − | 0.980246i | 0.251964 | − | 0.0535566i | ||||
\(336\) | 18.0950 | − | 16.9965i | 0.987165 | − | 0.927234i | ||||
\(337\) | 1.90219 | + | 18.0981i | 0.103619 | + | 0.985867i | 0.915575 | + | 0.402148i | \(0.131736\pi\) |
−0.811956 | + | 0.583719i | \(0.801597\pi\) | |||||||
\(338\) | 0.476672 | − | 0.212228i | 0.0259275 | − | 0.0115437i | ||||
\(339\) | 0.306073 | − | 1.60554i | 0.0166236 | − | 0.0872011i | ||||
\(340\) | −11.2265 | − | 19.4449i | −0.608844 | − | 1.05455i | ||||
\(341\) | 10.0512 | − | 12.6206i | 0.544303 | − | 0.683445i | ||||
\(342\) | −0.743895 | − | 1.17156i | −0.0402252 | − | 0.0633510i | ||||
\(343\) | −3.26270 | − | 10.0416i | −0.176169 | − | 0.542193i | ||||
\(344\) | 0.115048 | − | 1.09461i | 0.00620297 | − | 0.0590173i | ||||
\(345\) | 3.38838 | − | 8.06336i | 0.182424 | − | 0.434117i | ||||
\(346\) | −0.288890 | − | 0.320845i | −0.0155308 | − | 0.0172487i | ||||
\(347\) | −18.3436 | − | 20.3726i | −0.984737 | − | 1.09366i | −0.995599 | − | 0.0937200i | \(-0.970124\pi\) |
0.0108618 | − | 0.999941i | \(-0.496543\pi\) | |||||||
\(348\) | 7.14068 | + | 9.40514i | 0.382781 | + | 0.504168i | ||||
\(349\) | −2.39428 | + | 22.7800i | −0.128163 | + | 1.21939i | 0.721633 | + | 0.692276i | \(0.243392\pi\) |
−0.849796 | + | 0.527112i | \(0.823275\pi\) | |||||||
\(350\) | −0.838893 | − | 2.58185i | −0.0448407 | − | 0.138006i | ||||
\(351\) | 17.9266 | + | 8.89072i | 0.956849 | + | 0.474552i | ||||
\(352\) | 5.92237 | + | 8.95933i | 0.315663 | + | 0.477534i | ||||
\(353\) | 14.8524 | + | 25.7250i | 0.790511 | + | 1.36921i | 0.925651 | + | 0.378379i | \(0.123518\pi\) |
−0.135140 | + | 0.990827i | \(0.543148\pi\) | |||||||
\(354\) | −5.29947 | + | 1.84619i | −0.281663 | + | 0.0981237i | ||||
\(355\) | −14.2073 | + | 6.32550i | −0.754045 | + | 0.335722i | ||||
\(356\) | 1.85765 | + | 17.6744i | 0.0984554 | + | 0.936741i | ||||
\(357\) | −6.96372 | − | 29.6739i | −0.368559 | − | 1.57051i | ||||
\(358\) | −3.67871 | + | 0.781933i | −0.194426 | + | 0.0413265i | ||||
\(359\) | 29.8183 | − | 21.6643i | 1.57375 | − | 1.14340i | 0.650299 | − | 0.759678i | \(-0.274644\pi\) |
0.923450 | − | 0.383718i | \(-0.125356\pi\) | |||||||
\(360\) | 8.13234 | − | 4.03938i | 0.428612 | − | 0.212894i | ||||
\(361\) | −5.05804 | − | 15.5670i | −0.266213 | − | 0.819318i | ||||
\(362\) | −0.399041 | − | 0.691159i | −0.0209731 | − | 0.0363265i | ||||
\(363\) | −19.0393 | + | 0.710974i | −0.999303 | + | 0.0373164i | ||||
\(364\) | −15.0485 | + | 26.0648i | −0.788756 | + | 1.36617i | ||||
\(365\) | 10.7217 | + | 2.27897i | 0.561199 | + | 0.119287i | ||||
\(366\) | −1.81052 | − | 3.84635i | −0.0946374 | − | 0.201052i | ||||
\(367\) | −22.7113 | − | 10.1117i | −1.18552 | − | 0.527828i | −0.283270 | − | 0.959040i | \(-0.591419\pi\) |
−0.902251 | + | 0.431212i | \(0.858086\pi\) | |||||||
\(368\) | −2.02708 | + | 6.23872i | −0.105669 | + | 0.325216i | ||||
\(369\) | −14.4281 | − | 14.7264i | −0.751098 | − | 0.766625i | ||||
\(370\) | −4.83936 | + | 3.51600i | −0.251586 | + | 0.182788i | ||||
\(371\) | −0.669251 | + | 6.36750i | −0.0347458 | + | 0.330584i | ||||
\(372\) | 12.2391 | + | 10.5619i | 0.634569 | + | 0.547611i | ||||
\(373\) | −9.13952 | + | 15.8301i | −0.473227 | + | 0.819653i | −0.999530 | − | 0.0306440i | \(-0.990244\pi\) |
0.526304 | + | 0.850297i | \(0.323578\pi\) | |||||||
\(374\) | 4.07828 | − | 0.246996i | 0.210883 | − | 0.0127719i | ||||
\(375\) | −0.263138 | − | 12.4900i | −0.0135884 | − | 0.644981i | ||||
\(376\) | −4.38622 | + | 4.87139i | −0.226202 | + | 0.251223i | ||||
\(377\) | −11.0704 | − | 8.04312i | −0.570155 | − | 0.414242i | ||||
\(378\) | 5.95047 | − | 1.00867i | 0.306059 | − | 0.0518802i | ||||
\(379\) | −9.72145 | + | 29.9196i | −0.499357 | + | 1.53686i | 0.310697 | + | 0.950509i | \(0.399438\pi\) |
−0.810054 | + | 0.586355i | \(0.800562\pi\) | |||||||
\(380\) | −8.24717 | + | 1.75299i | −0.423071 | + | 0.0899265i | ||||
\(381\) | −2.56646 | − | 3.38034i | −0.131484 | − | 0.173180i | ||||
\(382\) | −4.36111 | + | 1.94169i | −0.223134 | + | 0.0993455i | ||||
\(383\) | 12.1601 | + | 2.58471i | 0.621352 | + | 0.132073i | 0.507822 | − | 0.861462i | \(-0.330451\pi\) |
0.113530 | + | 0.993535i | \(0.463784\pi\) | |||||||
\(384\) | −12.1770 | + | 7.37668i | −0.621407 | + | 0.376440i | ||||
\(385\) | −36.1891 | − | 5.43056i | −1.84437 | − | 0.276767i | ||||
\(386\) | −6.28449 | −0.319872 | ||||||||
\(387\) | −1.88302 | + | 2.27730i | −0.0957193 | + | 0.115762i | ||||
\(388\) | −11.5064 | − | 8.35986i | −0.584147 | − | 0.424408i | ||||
\(389\) | 6.68686 | + | 2.97718i | 0.339037 | + | 0.150949i | 0.569191 | − | 0.822205i | \(-0.307256\pi\) |
−0.230154 | + | 0.973154i | \(0.573923\pi\) | |||||||
\(390\) | −3.75514 | + | 3.52716i | −0.190149 | + | 0.178605i | ||||
\(391\) | 5.38909 | + | 5.98520i | 0.272538 | + | 0.302684i | ||||
\(392\) | 1.12036 | + | 10.6595i | 0.0565868 | + | 0.538388i | ||||
\(393\) | 2.94871 | + | 6.26435i | 0.148743 | + | 0.315995i | ||||
\(394\) | 3.47729 | − | 3.86193i | 0.175184 | − | 0.194561i | ||||
\(395\) | −11.5938 | −0.583346 | ||||||||
\(396\) | 0.0400930 | − | 19.0907i | 0.00201475 | − | 0.959343i | ||||
\(397\) | 34.2087 | 1.71688 | 0.858442 | − | 0.512911i | \(-0.171433\pi\) | ||||
0.858442 | + | 0.512911i | \(0.171433\pi\) | |||||||
\(398\) | −4.78831 | + | 5.31796i | −0.240016 | + | 0.266565i | ||||
\(399\) | −11.4056 | − | 0.956369i | −0.570995 | − | 0.0478783i | ||||
\(400\) | −0.859660 | − | 8.17911i | −0.0429830 | − | 0.408956i | ||||
\(401\) | 5.00227 | + | 5.55558i | 0.249801 | + | 0.277433i | 0.854984 | − | 0.518654i | \(-0.173567\pi\) |
−0.605183 | + | 0.796086i | \(0.706900\pi\) | |||||||
\(402\) | −0.822989 | − | 0.248367i | −0.0410470 | − | 0.0123874i | ||||
\(403\) | −17.1137 | − | 7.61953i | −0.852496 | − | 0.379556i | ||||
\(404\) | −21.2932 | − | 15.4704i | −1.05938 | − | 0.769682i | ||||
\(405\) | −24.1878 | − | 3.04376i | −1.20190 | − | 0.151246i | ||||
\(406\) | −4.12723 | −0.204831 | ||||||||
\(407\) | 4.22423 | + | 25.3358i | 0.209387 | + | 1.25585i | ||||
\(408\) | 0.176117 | + | 8.35950i | 0.00871910 | + | 0.413857i | ||||
\(409\) | −2.35753 | − | 0.501108i | −0.116572 | − | 0.0247782i | 0.149256 | − | 0.988799i | \(-0.452312\pi\) |
−0.265828 | + | 0.964020i | \(0.585645\pi\) | |||||||
\(410\) | 4.84908 | − | 2.15895i | 0.239479 | − | 0.106623i | ||||
\(411\) | −0.730895 | + | 1.73932i | −0.0360524 | + | 0.0857943i | ||||
\(412\) | 9.52503 | − | 2.02461i | 0.469265 | − | 0.0997453i | ||||
\(413\) | −14.3023 | + | 44.0180i | −0.703771 | + | 2.16598i | ||||
\(414\) | −1.24956 | + | 0.990878i | −0.0614123 | + | 0.0486990i | ||||
\(415\) | 14.2446 | + | 10.3493i | 0.699239 | + | 0.508027i | ||||
\(416\) | 8.34413 | − | 9.26709i | 0.409104 | − | 0.454357i | ||||
\(417\) | −4.37905 | − | 2.40672i | −0.214443 | − | 0.117857i | ||||
\(418\) | 0.385032 | − | 1.48515i | 0.0188325 | − | 0.0726412i | ||||
\(419\) | 5.60088 | − | 9.70101i | 0.273621 | − | 0.473925i | −0.696165 | − | 0.717881i | \(-0.745112\pi\) |
0.969786 | + | 0.243956i | \(0.0784453\pi\) | |||||||
\(420\) | 6.86646 | − | 36.0189i | 0.335049 | − | 1.75754i | ||||
\(421\) | 0.721755 | − | 6.86704i | 0.0351762 | − | 0.334679i | −0.962754 | − | 0.270378i | \(-0.912851\pi\) |
0.997931 | − | 0.0643013i | \(-0.0204819\pi\) | |||||||
\(422\) | −1.90781 | + | 1.38611i | −0.0928708 | + | 0.0674746i | ||||
\(423\) | 17.0451 | − | 4.38082i | 0.828760 | − | 0.213003i | ||||
\(424\) | 0.542748 | − | 1.67041i | 0.0263582 | − | 0.0811222i | ||||
\(425\) | −9.22439 | − | 4.10696i | −0.447449 | − | 0.199217i | ||||
\(426\) | 2.82569 | + | 0.236936i | 0.136905 | + | 0.0114796i | ||||
\(427\) | −34.2950 | − | 7.28962i | −1.65965 | − | 0.352770i | ||||
\(428\) | −2.66600 | + | 4.61765i | −0.128866 | + | 0.223202i | ||||
\(429\) | 6.34693 | + | 21.1920i | 0.306433 | + | 1.02316i | ||||
\(430\) | −0.380399 | − | 0.658871i | −0.0183445 | − | 0.0317736i | ||||
\(431\) | −9.01729 | − | 27.7524i | −0.434348 | − | 1.33678i | −0.893754 | − | 0.448558i | \(-0.851938\pi\) |
0.459406 | − | 0.888226i | \(-0.348062\pi\) | |||||||
\(432\) | 18.2682 | + | 0.759031i | 0.878930 | + | 0.0365189i | ||||
\(433\) | 29.5582 | − | 21.4753i | 1.42048 | − | 1.03204i | 0.428785 | − | 0.903407i | \(-0.358942\pi\) |
0.991693 | − | 0.128630i | \(-0.0410581\pi\) | |||||||
\(434\) | −5.52677 | + | 1.17475i | −0.265294 | + | 0.0563899i | ||||
\(435\) | 15.9602 | + | 4.81655i | 0.765231 | + | 0.230936i | ||||
\(436\) | −3.48114 | − | 33.1208i | −0.166716 | − | 1.58620i | ||||
\(437\) | 2.76287 | − | 1.23011i | 0.132166 | − | 0.0588441i | ||||
\(438\) | −1.51308 | − | 1.30574i | −0.0722979 | − | 0.0623906i | ||||
\(439\) | 10.7487 | + | 18.6173i | 0.513009 | + | 0.888557i | 0.999886 | + | 0.0150869i | \(0.00480250\pi\) |
−0.486877 | + | 0.873470i | \(0.661864\pi\) | |||||||
\(440\) | 9.40081 | + | 3.52121i | 0.448166 | + | 0.167867i | ||||
\(441\) | 13.3257 | − | 25.5048i | 0.634558 | − | 1.21451i | ||||
\(442\) | −1.46597 | − | 4.51180i | −0.0697293 | − | 0.214605i | ||||
\(443\) | 3.49595 | − | 33.2618i | 0.166098 | − | 1.58031i | −0.520876 | − | 0.853633i | \(-0.674395\pi\) |
0.686974 | − | 0.726682i | \(-0.258939\pi\) | |||||||
\(444\) | −25.5337 | + | 3.22879i | −1.21177 | + | 0.153232i | ||||
\(445\) | 16.7881 | + | 18.6451i | 0.795834 | + | 0.883863i | ||||
\(446\) | −1.40279 | − | 1.55795i | −0.0664240 | − | 0.0737713i | ||||
\(447\) | 34.6677 | − | 4.38381i | 1.63973 | − | 0.207347i | ||||
\(448\) | −2.60328 | + | 24.7685i | −0.122993 | + | 1.17020i | ||||
\(449\) | 12.2165 | + | 37.5984i | 0.576530 | + | 1.77438i | 0.630908 | + | 0.775858i | \(0.282682\pi\) |
−0.0543777 | + | 0.998520i | \(0.517318\pi\) | |||||||
\(450\) | 0.925876 | − | 1.77208i | 0.0436462 | − | 0.0835367i | ||||
\(451\) | 1.00777 | − | 22.7700i | 0.0474540 | − | 1.07220i | ||||
\(452\) | 0.905290 | + | 1.56801i | 0.0425813 | + | 0.0737529i | ||||
\(453\) | −14.5269 | − | 12.5363i | −0.682535 | − | 0.589005i | ||||
\(454\) | −4.93411 | + | 2.19681i | −0.231569 | + | 0.103101i | ||||
\(455\) | 4.44140 | + | 42.2571i | 0.208216 | + | 1.98104i | ||||
\(456\) | 3.00590 | + | 0.907139i | 0.140764 | + | 0.0424807i | ||||
\(457\) | −36.6926 | + | 7.79925i | −1.71641 | + | 0.364834i | −0.957960 | − | 0.286901i | \(-0.907375\pi\) |
−0.758447 | + | 0.651735i | \(0.774041\pi\) | |||||||
\(458\) | 1.81309 | − | 1.31729i | 0.0847204 | − | 0.0615529i | ||||
\(459\) | 12.0216 | − | 18.9582i | 0.561120 | − | 0.884893i | ||||
\(460\) | 2.99402 | + | 9.21464i | 0.139597 | + | 0.429635i | ||||
\(461\) | −9.68265 | − | 16.7708i | −0.450966 | − | 0.781096i | 0.547480 | − | 0.836818i | \(-0.315587\pi\) |
−0.998446 | + | 0.0557228i | \(0.982254\pi\) | |||||||
\(462\) | 5.30574 | + | 4.04588i | 0.246846 | + | 0.188232i | ||||
\(463\) | 7.17464 | − | 12.4268i | 0.333434 | − | 0.577524i | −0.649749 | − | 0.760149i | \(-0.725126\pi\) |
0.983183 | + | 0.182625i | \(0.0584594\pi\) | |||||||
\(464\) | −12.2301 | − | 2.59959i | −0.567769 | − | 0.120683i | ||||
\(465\) | 22.7432 | + | 1.90703i | 1.05469 | + | 0.0884365i | ||||
\(466\) | −1.71131 | − | 0.761923i | −0.0792748 | − | 0.0352954i | ||||
\(467\) | −6.89755 | + | 21.2285i | −0.319180 | + | 0.982336i | 0.654819 | + | 0.755786i | \(0.272745\pi\) |
−0.973999 | + | 0.226551i | \(0.927255\pi\) | |||||||
\(468\) | −21.4686 | + | 5.51774i | −0.992389 | + | 0.255058i | ||||
\(469\) | −5.73585 | + | 4.16734i | −0.264857 | + | 0.192430i | ||||
\(470\) | −0.473631 | + | 4.50629i | −0.0218469 | + | 0.207860i | ||||
\(471\) | 0.107938 | − | 0.566203i | 0.00497352 | − | 0.0260892i | ||||
\(472\) | 6.34827 | − | 10.9955i | 0.292203 | − | 0.506110i | ||||
\(473\) | −3.26087 | + | 0.197491i | −0.149935 | + | 0.00908065i | ||||
\(474\) | 1.85257 | + | 1.01817i | 0.0850915 | + | 0.0467660i | ||||
\(475\) | −2.53713 | + | 2.81777i | −0.116412 | + | 0.129288i | ||||
\(476\) | 27.3160 | + | 19.8462i | 1.25203 | + | 0.909651i | ||||
\(477\) | −3.69478 | + | 2.92990i | −0.169172 | + | 0.134151i | ||||
\(478\) | −2.25103 | + | 6.92795i | −0.102960 | + | 0.316877i | ||||
\(479\) | 22.7533 | − | 4.83637i | 1.03963 | − | 0.220979i | 0.343690 | − | 0.939083i | \(-0.388323\pi\) |
0.695936 | + | 0.718104i | \(0.254990\pi\) | |||||||
\(480\) | −5.88563 | + | 14.0061i | −0.268641 | + | 0.639288i | ||||
\(481\) | 27.2453 | − | 12.1304i | 1.24228 | − | 0.553098i | ||||
\(482\) | 0.831726 | + | 0.176789i | 0.0378841 | + | 0.00805251i | ||||
\(483\) | 0.277036 | + | 13.1497i | 0.0126056 | + | 0.598331i | ||||
\(484\) | 15.4528 | − | 14.3756i | 0.702401 | − | 0.653434i | ||||
\(485\) | −20.0790 | −0.911740 | ||||||||
\(486\) | 3.59768 | + | 2.61055i | 0.163194 | + | 0.118417i | ||||
\(487\) | −0.219083 | − | 0.159173i | −0.00992760 | − | 0.00721282i | 0.582810 | − | 0.812608i | \(-0.301953\pi\) |
−0.592738 | + | 0.805395i | \(0.701953\pi\) | |||||||
\(488\) | 8.78654 | + | 3.91202i | 0.397748 | + | 0.177089i | ||||
\(489\) | 22.1170 | + | 6.67459i | 1.00016 | + | 0.301835i | ||||
\(490\) | 4.95747 | + | 5.50583i | 0.223956 | + | 0.248728i | ||||
\(491\) | 0.439705 | + | 4.18351i | 0.0198436 | + | 0.188799i | 0.999953 | − | 0.00965687i | \(-0.00307392\pi\) |
−0.980110 | + | 0.198456i | \(0.936407\pi\) | |||||||
\(492\) | 22.7581 | + | 1.90828i | 1.02602 | + | 0.0860321i | ||||
\(493\) | −10.2719 | + | 11.4081i | −0.462625 | + | 0.513797i | ||||
\(494\) | −1.78143 | −0.0801504 | ||||||||
\(495\) | −15.7959 | − | 21.8375i | −0.709973 | − | 0.981522i | ||||
\(496\) | −17.1173 | −0.768589 | ||||||||
\(497\) | 15.6486 | − | 17.3796i | 0.701936 | − | 0.779579i | ||||
\(498\) | −1.36727 | − | 2.90468i | −0.0612687 | − | 0.130162i | ||||
\(499\) | 1.60600 | + | 15.2801i | 0.0718944 | + | 0.684030i | 0.969810 | + | 0.243862i | \(0.0784144\pi\) |
−0.897916 | + | 0.440168i | \(0.854919\pi\) | |||||||
\(500\) | 9.26007 | + | 10.2844i | 0.414123 | + | 0.459930i | ||||
\(501\) | 23.8798 | − | 22.4300i | 1.06687 | − | 1.00210i | ||||
\(502\) | 3.03960 | + | 1.35332i | 0.135664 | + | 0.0604016i | ||||
\(503\) | −3.16786 | − | 2.30159i | −0.141248 | − | 0.102623i | 0.514917 | − | 0.857240i | \(-0.327823\pi\) |
−0.656165 | + | 0.754617i | \(0.727823\pi\) | |||||||
\(504\) | −8.70131 | + | 10.5233i | −0.387587 | + | 0.468743i | ||||
\(505\) | −37.1573 | −1.65348 | ||||||||
\(506\) | −1.74354 | − | 0.261637i | −0.0775099 | − | 0.0116312i | ||||
\(507\) | 2.71081 | − | 1.64217i | 0.120391 | − | 0.0729314i | ||||
\(508\) | 4.59882 | + | 0.977510i | 0.204040 | + | 0.0433700i | ||||
\(509\) | 26.0812 | − | 11.6121i | 1.15603 | − | 0.514696i | 0.263043 | − | 0.964784i | \(-0.415274\pi\) |
0.892984 | + | 0.450088i | \(0.148607\pi\) | |||||||
\(510\) | 3.49493 | + | 4.60325i | 0.154758 | + | 0.203835i | ||||
\(511\) | −16.1231 | + | 3.42706i | −0.713242 | + | 0.151604i | ||||
\(512\) | 5.95109 | − | 18.3156i | 0.263004 | − | 0.809442i | ||||
\(513\) | −5.37564 | − | 6.49324i | −0.237340 | − | 0.286683i | ||||
\(514\) | −4.78092 | − | 3.47354i | −0.210877 | − | 0.153211i | ||||
\(515\) | 9.19887 | − | 10.2164i | 0.405351 | − | 0.450187i | ||||
\(516\) | −0.0689482 | − | 3.27266i | −0.00303528 | − | 0.144071i | ||||
\(517\) | 16.4032 | + | 10.4637i | 0.721411 | + | 0.460195i | ||||
\(518\) | 4.49763 | − | 7.79012i | 0.197615 | − | 0.342278i | ||||
\(519\) | −1.98541 | − | 1.71334i | −0.0871498 | − | 0.0752073i | ||||
\(520\) | 1.21838 | − | 11.5921i | 0.0534293 | − | 0.508346i | ||||
\(521\) | 11.5485 | − | 8.39049i | 0.505950 | − | 0.367594i | −0.305335 | − | 0.952245i | \(-0.598768\pi\) |
0.811285 | + | 0.584651i | \(0.198768\pi\) | |||||||
\(522\) | −2.12729 | − | 2.17126i | −0.0931088 | − | 0.0950336i | ||||
\(523\) | −10.2462 | + | 31.5345i | −0.448034 | + | 1.37891i | 0.431088 | + | 0.902310i | \(0.358130\pi\) |
−0.879122 | + | 0.476597i | \(0.841870\pi\) | |||||||
\(524\) | −7.00664 | − | 3.11956i | −0.306086 | − | 0.136278i | ||||
\(525\) | −7.02279 | − | 14.9195i | −0.306500 | − | 0.651141i | ||||
\(526\) | −2.53409 | − | 0.538637i | −0.110492 | − | 0.0234857i | ||||
\(527\) | −10.5080 | + | 18.2004i | −0.457736 | + | 0.792822i | ||||
\(528\) | 13.1740 | + | 15.3310i | 0.573326 | + | 0.667195i | ||||
\(529\) | 9.76231 | + | 16.9088i | 0.424448 | + | 0.735166i | ||||
\(530\) | −0.375166 | − | 1.15464i | −0.0162962 | − | 0.0501545i | ||||
\(531\) | −30.5289 | + | 15.1639i | −1.32484 | + | 0.658056i | ||||
\(532\) | 10.2575 | − | 7.45252i | 0.444720 | − | 0.323108i | ||||
\(533\) | −25.8860 | + | 5.50224i | −1.12125 | + | 0.238329i | ||||
\(534\) | −1.04516 | − | 4.45364i | −0.0452285 | − | 0.192728i | ||||
\(535\) | 0.786839 | + | 7.48627i | 0.0340180 | + | 0.323660i | ||||
\(536\) | 1.77677 | − | 0.791070i | 0.0767449 | − | 0.0341690i | ||||
\(537\) | −21.5728 | + | 7.51538i | −0.930937 | + | 0.324313i | ||||
\(538\) | −1.13222 | − | 1.96107i | −0.0488136 | − | 0.0845476i | ||||
\(539\) | 30.6613 | − | 8.48344i | 1.32068 | − | 0.365407i | ||||
\(540\) | 22.4881 | − | 14.9528i | 0.967733 | − | 0.643466i | ||||
\(541\) | −8.79490 | − | 27.0679i | −0.378122 | − | 1.16374i | −0.941348 | − | 0.337437i | \(-0.890440\pi\) |
0.563226 | − | 0.826303i | \(-0.309560\pi\) | |||||||
\(542\) | −0.110987 | + | 1.05597i | −0.00476731 | + | 0.0453579i | ||||
\(543\) | −2.93139 | − | 3.86100i | −0.125798 | − | 0.165691i | ||||
\(544\) | −9.36088 | − | 10.3963i | −0.401344 | − | 0.445738i | ||||
\(545\) | −31.4600 | − | 34.9399i | −1.34760 | − | 1.49666i | ||||
\(546\) | 3.00134 | − | 7.14231i | 0.128445 | − | 0.305663i | ||||
\(547\) | 3.21390 | − | 30.5782i | 0.137416 | − | 1.30743i | −0.680779 | − | 0.732489i | \(-0.738359\pi\) |
0.818195 | − | 0.574940i | \(-0.194975\pi\) | |||||||
\(548\) | −0.645829 | − | 1.98766i | −0.0275884 | − | 0.0849085i | ||||
\(549\) | −13.8416 | − | 21.7993i | −0.590746 | − | 0.930370i | ||||
\(550\) | 2.13036 | − | 0.589432i | 0.0908388 | − | 0.0251335i | ||||
\(551\) | 2.88228 | + | 4.99226i | 0.122789 | + | 0.212678i | ||||
\(552\) | 0.675654 | − | 3.54423i | 0.0287577 | − | 0.150852i | ||||
\(553\) | 15.9272 | − | 7.09124i | 0.677293 | − | 0.301550i | ||||
\(554\) | 0.116263 | + | 1.10617i | 0.00493954 | + | 0.0469965i | ||||
\(555\) | −26.4837 | + | 24.8759i | −1.12417 | + | 1.05592i | ||||
\(556\) | 5.41432 | − | 1.15085i | 0.229618 | − | 0.0488069i | ||||
\(557\) | 5.90145 | − | 4.28765i | 0.250052 | − | 0.181674i | −0.455698 | − | 0.890135i | \(-0.650610\pi\) |
0.705750 | + | 0.708461i | \(0.250610\pi\) | |||||||
\(558\) | −3.46667 | − | 2.30204i | −0.146756 | − | 0.0974531i | ||||
\(559\) | 1.17215 | + | 3.60751i | 0.0495767 | + | 0.152581i | ||||
\(560\) | 19.4122 | + | 33.6230i | 0.820316 | + | 1.42083i | ||||
\(561\) | 24.3884 | − | 4.59622i | 1.02968 | − | 0.194052i | ||||
\(562\) | −0.00564923 | + | 0.00978475i | −0.000238298 | + | 0.000412745i | ||||
\(563\) | 35.7742 | + | 7.60405i | 1.50770 | + | 0.320472i | 0.886335 | − | 0.463045i | \(-0.153243\pi\) |
0.621369 | + | 0.783518i | \(0.286577\pi\) | |||||||
\(564\) | −11.1244 | + | 16.0100i | −0.468421 | + | 0.674144i | ||||
\(565\) | 2.33512 | + | 1.03966i | 0.0982393 | + | 0.0437389i | ||||
\(566\) | 0.563400 | − | 1.73397i | 0.0236815 | − | 0.0728841i | ||||
\(567\) | 35.0902 | − | 10.6129i | 1.47365 | − | 0.445699i | ||||
\(568\) | −5.19020 | + | 3.77090i | −0.217776 | + | 0.158224i | ||||
\(569\) | −0.0158344 | + | 0.150654i | −0.000663811 | + | 0.00631574i | −0.994849 | − | 0.101370i | \(-0.967677\pi\) |
0.994185 | + | 0.107686i | \(0.0343441\pi\) | |||||||
\(570\) | 2.04953 | − | 0.714000i | 0.0858454 | − | 0.0299062i | ||||
\(571\) | −21.6127 | + | 37.4343i | −0.904463 | + | 1.56658i | −0.0828262 | + | 0.996564i | \(0.526395\pi\) |
−0.821637 | + | 0.570012i | \(0.806939\pi\) | |||||||
\(572\) | −20.6602 | − | 13.1793i | −0.863845 | − | 0.551055i | ||||
\(573\) | −24.8014 | + | 15.0243i | −1.03609 | + | 0.627651i | ||||
\(574\) | −5.34102 | + | 5.93180i | −0.222930 | + | 0.247589i | ||||
\(575\) | 3.52502 | + | 2.56108i | 0.147003 | + | 0.106804i | ||||
\(576\) | −14.3721 | + | 11.3968i | −0.598837 | + | 0.474868i | ||||
\(577\) | 9.00017 | − | 27.6997i | 0.374682 | − | 1.15315i | −0.569011 | − | 0.822330i | \(-0.692674\pi\) |
0.943693 | − | 0.330822i | \(-0.107326\pi\) | |||||||
\(578\) | −0.464165 | + | 0.0986614i | −0.0193067 | + | 0.00410377i | ||||
\(579\) | −37.8717 | + | 4.78896i | −1.57390 | + | 0.199022i | ||||
\(580\) | −16.8709 | + | 7.51142i | −0.700527 | + | 0.311895i | ||||
\(581\) | −25.8988 | − | 5.50497i | −1.07446 | − | 0.228385i | ||||
\(582\) | 3.20842 | + | 1.76334i | 0.132993 | + | 0.0730929i | ||||
\(583\) | −5.15543 | − | 0.773629i | −0.213516 | − | 0.0320404i | ||||
\(584\) | 4.52173 | 0.187111 | ||||||||
\(585\) | −19.9415 | + | 24.1170i | −0.824479 | + | 0.997115i | ||||
\(586\) | 5.39985 | + | 3.92322i | 0.223066 | + | 0.162067i | ||||
\(587\) | −20.7328 | − | 9.23084i | −0.855734 | − | 0.380997i | −0.0684998 | − | 0.997651i | \(-0.521821\pi\) |
−0.787235 | + | 0.616654i | \(0.788488\pi\) | |||||||
\(588\) | 7.28289 | + | 31.0339i | 0.300341 | + | 1.27982i | ||||
\(589\) | 5.28064 | + | 5.86475i | 0.217585 | + | 0.241653i | ||||
\(590\) | −0.917372 | − | 8.72821i | −0.0377676 | − | 0.359335i | ||||
\(591\) | 18.0120 | − | 25.9226i | 0.740916 | − | 1.06631i | ||||
\(592\) | 18.2344 | − | 20.2514i | 0.749431 | − | 0.832327i | ||||
\(593\) | −22.9308 | −0.941656 | −0.470828 | − | 0.882225i | \(-0.656045\pi\) | ||||
−0.470828 | + | 0.882225i | \(0.656045\pi\) | |||||||
\(594\) | 0.606256 | + | 4.87662i | 0.0248750 | + | 0.200090i | ||||
\(595\) | 47.6673 | 1.95417 | ||||||||
\(596\) | −25.9015 | + | 28.7666i | −1.06097 | + | 1.17832i | ||||
\(597\) | −24.8030 | + | 35.6960i | −1.01512 | + | 1.46094i | ||||
\(598\) | 0.213981 | + | 2.03589i | 0.00875032 | + | 0.0832538i | ||||
\(599\) | −8.36460 | − | 9.28982i | −0.341768 | − | 0.379572i | 0.547618 | − | 0.836728i | \(-0.315535\pi\) |
−0.889386 | + | 0.457156i | \(0.848868\pi\) | |||||||
\(600\) | 1.03348 | + | 4.40387i | 0.0421916 | + | 0.179787i | ||||
\(601\) | 20.5354 | + | 9.14296i | 0.837658 | + | 0.372949i | 0.780301 | − | 0.625405i | \(-0.215066\pi\) |
0.0573569 | + | 0.998354i | \(0.481733\pi\) | |||||||
\(602\) | 0.925574 | + | 0.672469i | 0.0377236 | + | 0.0274078i | ||||
\(603\) | −5.14878 | − | 0.869570i | −0.209674 | − | 0.0354116i | ||||
\(604\) | 21.2559 | 0.864892 | ||||||||
\(605\) | 5.72025 | − | 29.2418i | 0.232561 | − | 1.18885i | ||||
\(606\) | 5.93738 | + | 3.26317i | 0.241190 | + | 0.132557i | ||||
\(607\) | −26.1212 | − | 5.55223i | −1.06023 | − | 0.225358i | −0.355383 | − | 0.934721i | \(-0.615649\pi\) |
−0.704843 | + | 0.709363i | \(0.748983\pi\) | |||||||
\(608\) | −4.79912 | + | 2.13670i | −0.194630 | + | 0.0866548i | ||||
\(609\) | −24.8716 | + | 3.14506i | −1.00785 | + | 0.127444i | ||||
\(610\) | 6.50306 | − | 1.38227i | 0.263301 | − | 0.0559664i | ||||
\(611\) | 6.98102 | − | 21.4854i | 0.282422 | − | 0.869205i | ||||
\(612\) | 3.63865 | + | 24.5998i | 0.147084 | + | 0.994386i | ||||
\(613\) | 35.1797 | + | 25.5595i | 1.42089 | + | 1.03234i | 0.991623 | + | 0.129163i | \(0.0412289\pi\) |
0.429269 | + | 0.903176i | \(0.358771\pi\) | |||||||
\(614\) | 5.56175 | − | 6.17695i | 0.224454 | − | 0.249282i | ||||
\(615\) | 27.5765 | − | 16.7055i | 1.11199 | − | 0.673629i | ||||
\(616\) | −15.0683 | + | 0.912593i | −0.607118 | + | 0.0367694i | ||||
\(617\) | −20.7128 | + | 35.8756i | −0.833864 | + | 1.44430i | 0.0610871 | + | 0.998132i | \(0.480543\pi\) |
−0.894952 | + | 0.446163i | \(0.852790\pi\) | |||||||
\(618\) | −2.36709 | + | 0.824630i | −0.0952185 | + | 0.0331715i | ||||
\(619\) | −0.931532 | + | 8.86293i | −0.0374414 | + | 0.356231i | 0.959721 | + | 0.280954i | \(0.0906508\pi\) |
−0.997163 | + | 0.0752773i | \(0.976016\pi\) | |||||||
\(620\) | −20.4539 | + | 14.8606i | −0.821446 | + | 0.596816i | ||||
\(621\) | −6.77502 | + | 6.92344i | −0.271872 | + | 0.277828i | ||||
\(622\) | −1.73638 | + | 5.34404i | −0.0696227 | + | 0.214277i | ||||
\(623\) | −34.4672 | − | 15.3458i | −1.38090 | − | 0.614815i | ||||
\(624\) | 13.3925 | − | 19.2742i | 0.536128 | − | 0.771586i | ||||
\(625\) | 30.5412 | + | 6.49173i | 1.22165 | + | 0.259669i | ||||
\(626\) | −0.190818 | + | 0.330506i | −0.00762662 | + | 0.0132097i | ||||
\(627\) | 1.18856 | − | 9.24327i | 0.0474665 | − | 0.369141i | ||||
\(628\) | 0.319255 | + | 0.552966i | 0.0127397 | + | 0.0220657i | ||||
\(629\) | −10.3390 | − | 31.8202i | −0.412244 | − | 1.26876i | ||||
\(630\) | −0.590379 | + | 9.42014i | −0.0235213 | + | 0.375307i | ||||
\(631\) | 4.58752 | − | 3.33303i | 0.182626 | − | 0.132686i | −0.492716 | − | 0.870190i | \(-0.663996\pi\) |
0.675342 | + | 0.737504i | \(0.263996\pi\) | |||||||
\(632\) | −4.67816 | + | 0.994373i | −0.186087 | + | 0.0395540i | ||||
\(633\) | −10.4406 | + | 9.80678i | −0.414978 | + | 0.389785i | ||||
\(634\) | −0.119251 | − | 1.13460i | −0.00473606 | − | 0.0450606i | ||||
\(635\) | 6.06365 | − | 2.69971i | 0.240628 | − | 0.107135i | ||||
\(636\) | 0.978185 | − | 5.13119i | 0.0387876 | − | 0.203465i | ||||
\(637\) | −18.4693 | − | 31.9898i | −0.731780 | − | 1.26748i | ||||
\(638\) | 0.148586 | − | 3.35722i | 0.00588257 | − | 0.132914i | ||||
\(639\) | 17.2088 | − | 0.725429i | 0.680770 | − | 0.0286975i | ||||
\(640\) | −6.88034 | − | 21.1755i | −0.271970 | − | 0.837036i | ||||
\(641\) | −2.80327 | + | 26.6713i | −0.110722 | + | 1.05345i | 0.788222 | + | 0.615390i | \(0.211002\pi\) |
−0.898945 | + | 0.438062i | \(0.855665\pi\) | |||||||
\(642\) | 0.531717 | − | 1.26533i | 0.0209852 | − | 0.0499387i | ||||
\(643\) | 9.46047 | + | 10.5069i | 0.373085 | + | 0.414352i | 0.900224 | − | 0.435426i | \(-0.143402\pi\) |
−0.527140 | + | 0.849779i | \(0.676736\pi\) | |||||||
\(644\) | −9.74915 | − | 10.8275i | −0.384170 | − | 0.426664i | ||||
\(645\) | −2.79445 | − | 3.68062i | −0.110031 | − | 0.144924i | ||||
\(646\) | −0.208900 | + | 1.98756i | −0.00821908 | + | 0.0781993i | ||||
\(647\) | −0.393698 | − | 1.21168i | −0.0154779 | − | 0.0476360i | 0.943019 | − | 0.332738i | \(-0.107973\pi\) |
−0.958497 | + | 0.285102i | \(0.907973\pi\) | |||||||
\(648\) | −10.0210 | + | 0.846365i | −0.393662 | + | 0.0332484i | ||||
\(649\) | −35.2907 | − | 13.2187i | −1.38528 | − | 0.518878i | ||||
\(650\) | −1.28325 | − | 2.22266i | −0.0503334 | − | 0.0871799i | ||||
\(651\) | −32.4104 | + | 11.2909i | −1.27026 | + | 0.442524i | ||||
\(652\) | −23.3791 | + | 10.4090i | −0.915595 | + | 0.407649i | ||||
\(653\) | 0.504698 | + | 4.80188i | 0.0197504 | + | 0.187912i | 0.999949 | − | 0.0101049i | \(-0.00321654\pi\) |
−0.980199 | + | 0.198017i | \(0.936550\pi\) | |||||||
\(654\) | 1.95857 | + | 8.34588i | 0.0765863 | + | 0.326350i | ||||
\(655\) | −10.5912 | + | 2.25123i | −0.413833 | + | 0.0879629i | ||||
\(656\) | −19.5632 | + | 14.2135i | −0.763813 | + | 0.554942i | ||||
\(657\) | −10.1132 | − | 6.71566i | −0.394553 | − | 0.262003i | ||||
\(658\) | −2.10558 | − | 6.48030i | −0.0820840 | − | 0.252628i | ||||
\(659\) | 11.0889 | + | 19.2065i | 0.431961 | + | 0.748178i | 0.997042 | − | 0.0768574i | \(-0.0244886\pi\) |
−0.565082 | + | 0.825035i | \(0.691155\pi\) | |||||||
\(660\) | 29.0517 | + | 6.88213i | 1.13084 | + | 0.267887i | ||||
\(661\) | 13.6987 | − | 23.7269i | 0.532820 | − | 0.922871i | −0.466446 | − | 0.884550i | \(-0.654466\pi\) |
0.999265 | − | 0.0383209i | \(-0.0122009\pi\) | |||||||
\(662\) | −0.887049 | − | 0.188548i | −0.0344761 | − | 0.00732813i | ||||
\(663\) | −12.2724 | − | 26.0720i | −0.476621 | − | 1.01255i | ||||
\(664\) | 6.63541 | + | 2.95427i | 0.257504 | + | 0.114648i | ||||
\(665\) | 5.53132 | − | 17.0236i | 0.214495 | − | 0.660148i | ||||
\(666\) | 6.41645 | − | 1.64912i | 0.248632 | − | 0.0639020i | ||||
\(667\) | 5.35915 | − | 3.89365i | 0.207507 | − | 0.150763i | ||||
\(668\) | −3.79358 | + | 36.0935i | −0.146778 | + | 1.39650i | ||||
\(669\) | −9.64072 | − | 8.31961i | −0.372732 | − | 0.321655i | ||||
\(670\) | 0.672198 | − | 1.16428i | 0.0259693 | − | 0.0449801i | ||||
\(671\) | 7.16428 | − | 27.6342i | 0.276574 | − | 1.06681i | ||||
\(672\) | −0.481213 | − | 22.8410i | −0.0185632 | − | 0.881112i | ||||
\(673\) | 23.5825 | − | 26.1911i | 0.909040 | − | 1.00959i | −0.0908659 | − | 0.995863i | \(-0.528963\pi\) |
0.999906 | − | 0.0137279i | \(-0.00436986\pi\) | |||||||
\(674\) | 4.19805 | + | 3.05006i | 0.161703 | + | 0.117484i | ||||
\(675\) | 4.22916 | − | 11.3845i | 0.162780 | − | 0.438189i | ||||
\(676\) | −1.08494 | + | 3.33910i | −0.0417285 | + | 0.128427i | ||||
\(677\) | 43.0874 | − | 9.15850i | 1.65598 | − | 0.351990i | 0.717298 | − | 0.696767i | \(-0.245379\pi\) |
0.938685 | + | 0.344777i | \(0.112045\pi\) | |||||||
\(678\) | −0.281826 | − | 0.371199i | −0.0108235 | − | 0.0142558i | ||||
\(679\) | 27.5839 | − | 12.2811i | 1.05857 | − | 0.471307i | ||||
\(680\) | −12.7905 | − | 2.71870i | −0.490493 | − | 0.104257i | ||||
\(681\) | −28.0600 | + | 16.9984i | −1.07526 | + | 0.651379i | ||||
\(682\) | −0.756610 | − | 4.53795i | −0.0289721 | − | 0.173767i | ||||
\(683\) | 42.2845 | 1.61797 | 0.808985 | − | 0.587829i | \(-0.200017\pi\) | ||||
0.808985 | + | 0.587829i | \(0.200017\pi\) | |||||||
\(684\) | 9.20765 | + | 1.55507i | 0.352063 | + | 0.0594595i | ||||
\(685\) | −2.38701 | − | 1.73426i | −0.0912029 | − | 0.0662628i | ||||
\(686\) | −2.75040 | − | 1.22456i | −0.105011 | − | 0.0467538i | ||||
\(687\) | 9.92229 | − | 9.31991i | 0.378559 | − | 0.355577i | ||||
\(688\) | 2.31917 | + | 2.57570i | 0.0884174 | + | 0.0981975i | ||||
\(689\) | 0.632714 | + | 6.01987i | 0.0241045 | + | 0.229339i | ||||
\(690\) | −1.06217 | − | 2.25652i | −0.0404362 | − | 0.0859043i | ||||
\(691\) | −5.66545 | + | 6.29212i | −0.215524 | + | 0.239363i | −0.841206 | − | 0.540715i | \(-0.818154\pi\) |
0.625682 | + | 0.780078i | \(0.284821\pi\) | |||||||
\(692\) | 2.90507 | 0.110434 | ||||||||
\(693\) | 35.0567 | + | 20.3383i | 1.33169 | + | 0.772586i | ||||
\(694\) | −7.81709 | −0.296733 | ||||||||
\(695\) | 5.22892 | − | 5.80730i | 0.198344 | − | 0.220284i | ||||
\(696\) | 6.85312 | + | 0.574639i | 0.259767 | + | 0.0217816i | ||||
\(697\) | 3.10335 | + | 29.5264i | 0.117548 | + | 1.11839i | ||||
\(698\) | 4.37041 | + | 4.85383i | 0.165422 | + | 0.183720i | ||||
\(699\) | −10.8933 | − | 3.28745i | −0.412023 | − | 0.124343i | ||||
\(700\) | 16.6874 | + | 7.42970i | 0.630724 | + | 0.280816i | ||||
\(701\) | −35.2342 | − | 25.5991i | −1.33078 | − | 0.966865i | −0.999730 | − | 0.0232503i | \(-0.992599\pi\) |
−0.331046 | − | 0.943615i | \(-0.607401\pi\) | |||||||
\(702\) | 5.30442 | − | 2.10239i | 0.200202 | − | 0.0793497i | ||||
\(703\) | −12.5638 | −0.473854 | ||||||||
\(704\) | −20.0538 | − | 3.00929i | −0.755806 | − | 0.113417i | ||||
\(705\) | 0.579722 | + | 27.5168i | 0.0218336 | + | 1.03634i | ||||
\(706\) | 8.28515 | + | 1.76106i | 0.311816 | + | 0.0662785i | ||||
\(707\) | 51.0456 | − | 22.7270i | 1.91977 | − | 0.854736i | ||||
\(708\) | 14.6286 | − | 34.8119i | 0.549777 | − | 1.30831i | ||||
\(709\) | 5.89558 | − | 1.25314i | 0.221413 | − | 0.0470628i | −0.0958693 | − | 0.995394i | \(-0.530563\pi\) |
0.317282 | + | 0.948331i | \(0.397230\pi\) | |||||||
\(710\) | −1.37036 | + | 4.21753i | −0.0514287 | + | 0.158281i | ||||
\(711\) | 11.9399 | + | 4.72400i | 0.447781 | + | 0.177164i | ||||
\(712\) | 8.37326 | + | 6.08353i | 0.313801 | + | 0.227990i | ||||
\(713\) | 6.06817 | − | 6.73939i | 0.227255 | − | 0.252392i | ||||
\(714\) | −7.61677 | − | 4.18616i | −0.285051 | − | 0.156663i | ||||
\(715\) | −34.5332 | + | 2.09146i | −1.29147 | + | 0.0782163i | ||||
\(716\) | 12.6530 | − | 21.9157i | 0.472866 | − | 0.819028i | ||||
\(717\) | −8.28589 | + | 43.4647i | −0.309442 | + | 1.62322i | ||||
\(718\) | 1.09858 | − | 10.4523i | 0.0409985 | − | 0.390075i | ||||
\(719\) | −32.6897 | + | 23.7504i | −1.21912 | + | 0.885741i | −0.996027 | − | 0.0890560i | \(-0.971615\pi\) |
−0.223092 | + | 0.974797i | \(0.571615\pi\) | |||||||
\(720\) | −7.68286 | + | 27.5426i | −0.286323 | + | 1.02645i | ||||
\(721\) | −6.38836 | + | 19.6614i | −0.237915 | + | 0.732227i | ||||
\(722\) | −4.26384 | − | 1.89838i | −0.158684 | − | 0.0706505i | ||||
\(723\) | 5.14688 | + | 0.431570i | 0.191415 | + | 0.0160502i | ||||
\(724\) | 5.25274 | + | 1.11650i | 0.195216 | + | 0.0414945i | ||||
\(725\) | −4.15251 | + | 7.19235i | −0.154220 | + | 0.267117i | ||||
\(726\) | −3.48206 | + | 4.17020i | −0.129232 | + | 0.154771i | ||||
\(727\) | −9.36031 | − | 16.2125i | −0.347155 | − | 0.601290i | 0.638588 | − | 0.769549i | \(-0.279519\pi\) |
−0.985743 | + | 0.168259i | \(0.946185\pi\) | |||||||
\(728\) | 5.41643 | + | 16.6700i | 0.200746 | + | 0.617833i | ||||
\(729\) | 23.6697 | + | 12.9902i | 0.876656 | + | 0.481118i | ||||
\(730\) | 2.52864 | − | 1.83717i | 0.0935893 | − | 0.0679966i | ||||
\(731\) | 4.16237 | − | 0.884740i | 0.153951 | − | 0.0327233i | ||||
\(732\) | 27.3851 | + | 8.26444i | 1.01218 | + | 0.305462i | ||||
\(733\) | −0.0589741 | − | 0.561101i | −0.00217826 | − | 0.0207247i | 0.993379 | − | 0.114885i | \(-0.0366500\pi\) |
−0.995557 | + | 0.0941604i | \(0.969983\pi\) | |||||||
\(734\) | −6.47609 | + | 2.88334i | −0.239037 | + | 0.106426i | ||||
\(735\) | 34.0704 | + | 29.4016i | 1.25671 | + | 1.08449i | ||||
\(736\) | 3.01837 | + | 5.22796i | 0.111258 | + | 0.192705i | ||||
\(737\) | −3.18335 | − | 4.81575i | −0.117260 | − | 0.177391i | ||||
\(738\) | −5.87353 | + | 0.247596i | −0.216208 | + | 0.00911413i | ||||
\(739\) | 0.602004 | + | 1.85278i | 0.0221451 | + | 0.0681555i | 0.961518 | − | 0.274741i | \(-0.0885921\pi\) |
−0.939373 | + | 0.342896i | \(0.888592\pi\) | |||||||
\(740\) | 4.20725 | − | 40.0293i | 0.154662 | − | 1.47151i | ||||
\(741\) | −10.7353 | + | 1.35750i | −0.394371 | + | 0.0498691i | ||||
\(742\) | 1.22162 | + | 1.35675i | 0.0448471 | + | 0.0498077i | ||||
\(743\) | −18.2423 | − | 20.2601i | −0.669245 | − | 0.743272i | 0.308923 | − | 0.951087i | \(-0.400032\pi\) |
−0.978168 | + | 0.207815i | \(0.933365\pi\) | |||||||
\(744\) | 9.34058 | − | 1.18114i | 0.342442 | − | 0.0433026i | ||||
\(745\) | −5.71229 | + | 54.3488i | −0.209282 | + | 1.99119i | ||||
\(746\) | 1.61067 | + | 4.95714i | 0.0589709 | + | 0.181494i | ||||
\(747\) | −10.4529 | − | 16.4623i | −0.382452 | − | 0.602325i | ||||
\(748\) | −17.1270 | + | 21.5052i | −0.626224 | + | 0.786308i | ||||
\(749\) | −5.65985 | − | 9.80315i | −0.206807 | − | 0.358199i | ||||
\(750\) | −2.69692 | − | 2.32735i | −0.0984777 | − | 0.0849829i | ||||
\(751\) | 27.6861 | − | 12.3267i | 1.01028 | − | 0.449806i | 0.166241 | − | 0.986085i | \(-0.446837\pi\) |
0.844041 | + | 0.536279i | \(0.180170\pi\) | |||||||
\(752\) | −2.15770 | − | 20.5292i | −0.0786833 | − | 0.748621i | ||||
\(753\) | 19.3486 | + | 5.83913i | 0.705102 | + | 0.212790i | ||||
\(754\) | −3.81664 | + | 0.811252i | −0.138994 | + | 0.0295441i | ||||
\(755\) | 24.2772 | − | 17.6384i | 0.883539 | − | 0.641929i | ||||
\(756\) | −21.7477 | + | 34.2964i | −0.790956 | + | 1.24735i | ||||
\(757\) | 3.43224 | + | 10.5634i | 0.124747 | + | 0.383931i | 0.993855 | − | 0.110691i | \(-0.0353064\pi\) |
−0.869108 | + | 0.494622i | \(0.835306\pi\) | |||||||
\(758\) | 4.48528 | + | 7.76874i | 0.162913 | + | 0.282173i | ||||
\(759\) | −10.7063 | − | 0.248056i | −0.388616 | − | 0.00900386i | ||||
\(760\) | −2.45515 | + | 4.25244i | −0.0890576 | + | 0.154252i | ||||
\(761\) | 32.6124 | + | 6.93197i | 1.18220 | + | 0.251284i | 0.756753 | − | 0.653701i | \(-0.226784\pi\) |
0.425444 | + | 0.904985i | \(0.360118\pi\) | |||||||
\(762\) | −1.20600 | − | 0.101124i | −0.0436888 | − | 0.00366333i | ||||
\(763\) | 64.5895 | + | 28.7571i | 2.33830 | + | 1.04108i | ||||
\(764\) | 9.92620 | − | 30.5497i | 0.359117 | − | 1.10525i | ||||
\(765\) | 24.5690 | + | 25.0770i | 0.888296 | + | 0.906659i | ||||
\(766\) | 2.86788 | − | 2.08364i | 0.103621 | − | 0.0752849i | ||||
\(767\) | −4.57380 | + | 43.5168i | −0.165150 | + | 1.57130i | ||||
\(768\) | 3.20600 | − | 16.8175i | 0.115686 | − | 0.606848i | ||||
\(769\) | 25.9701 | − | 44.9815i | 0.936504 | − | 1.62207i | 0.164575 | − | 0.986364i | \(-0.447375\pi\) |
0.771929 | − | 0.635709i | \(-0.219292\pi\) | |||||||
\(770\) | −8.05570 | + | 6.63254i | −0.290307 | + | 0.239020i | ||||
\(771\) | −31.4578 | − | 17.2891i | −1.13293 | − | 0.622653i | ||||
\(772\) | 28.2953 | − | 31.4252i | 1.01837 | − | 1.13102i | ||||
\(773\) | 6.24784 | + | 4.53932i | 0.224719 | + | 0.163268i | 0.694448 | − | 0.719542i | \(-0.255648\pi\) |
−0.469729 | + | 0.882811i | \(0.655648\pi\) | |||||||
\(774\) | 0.123292 | + | 0.833537i | 0.00443163 | + | 0.0299609i | ||||
\(775\) | −3.51343 | + | 10.8132i | −0.126206 | + | 0.388423i | ||||
\(776\) | −8.10199 | + | 1.72213i | −0.290844 | + | 0.0618209i | ||||
\(777\) | 21.1674 | − | 50.3723i | 0.759377 | − | 1.80710i | ||||
\(778\) | 1.90675 | − | 0.848939i | 0.0683602 | − | 0.0304359i | ||||
\(779\) | 10.9050 | + | 2.31793i | 0.390713 | + | 0.0830486i | ||||
\(780\) | −0.730173 | − | 34.6580i | −0.0261444 | − | 1.24096i | ||||
\(781\) | 13.5737 | + | 13.3548i | 0.485706 | + | 0.477871i | ||||
\(782\) | 2.29655 | 0.0821244 | ||||||||
\(783\) | −14.4741 | − | 11.4635i | −0.517260 | − | 0.409670i | ||||
\(784\) | −27.3060 | − | 19.8390i | −0.975215 | − | 0.708535i | ||||
\(785\) | 0.823492 | + | 0.366642i | 0.0293917 | + | 0.0130860i | ||||
\(786\) | 1.89007 | + | 0.570398i | 0.0674167 | + | 0.0203454i | ||||
\(787\) | −13.1861 | − | 14.6446i | −0.470034 | − | 0.522025i | 0.460782 | − | 0.887513i | \(-0.347569\pi\) |
−0.930816 | + | 0.365488i | \(0.880902\pi\) | |||||||
\(788\) | 3.65510 | + | 34.7759i | 0.130207 | + | 1.23884i | ||||
\(789\) | −15.6814 | − | 1.31490i | −0.558274 | − | 0.0468116i | ||||
\(790\) | −2.21211 | + | 2.45680i | −0.0787034 | + | 0.0874089i | ||||
\(791\) | −3.84382 | −0.136670 | ||||||||
\(792\) | −8.24670 | − | 7.45678i | −0.293034 | − | 0.264965i | ||||
\(793\) | −33.1470 | −1.17709 | ||||||||
\(794\) | 6.52707 | − | 7.24904i | 0.231637 | − | 0.257259i | ||||
\(795\) | −3.14071 | − | 6.67225i | −0.111389 | − | 0.236640i | ||||
\(796\) | −5.03316 | − | 47.8873i | −0.178395 | − | 1.69732i | ||||
\(797\) | 9.38507 | + | 10.4232i | 0.332436 | + | 0.369208i | 0.886069 | − | 0.463553i | \(-0.153426\pi\) |
−0.553633 | + | 0.832761i | \(0.686759\pi\) | |||||||
\(798\) | −2.37887 | + | 2.23445i | −0.0842111 | + | 0.0790986i | ||||
\(799\) | −23.1527 | − | 10.3083i | −0.819085 | − | 0.364680i | ||||
\(800\) | −6.12297 | − | 4.44860i | −0.216480 | − | 0.157282i | ||||
\(801\) | −9.69217 | − | 26.0422i | −0.342456 | − | 0.920156i | ||||
\(802\) | 2.13170 | 0.0752731 | ||||||||
\(803\) | −2.20723 | − | 13.2384i | −0.0778914 | − | 0.467173i | ||||
\(804\) | 4.94737 | − | 2.99705i | 0.174480 | − | 0.105698i | ||||
\(805\) | −20.1197 | − | 4.27657i | −0.709126 | − | 0.150729i | ||||
\(806\) | −4.87996 | + | 2.17270i | −0.171889 | + | 0.0765300i | ||||
\(807\) | −8.31741 | − | 10.9550i | −0.292787 | − | 0.385635i | ||||
\(808\) | −14.9932 | + | 3.18690i | −0.527459 | + | 0.112115i | ||||
\(809\) | −6.46767 | + | 19.9055i | −0.227391 | + | 0.699839i | 0.770649 | + | 0.637260i | \(0.219932\pi\) |
−0.998040 | + | 0.0625783i | \(0.980068\pi\) | |||||||
\(810\) | −5.26007 | + | 4.54481i | −0.184820 | + | 0.159688i | ||||
\(811\) | −1.57186 | − | 1.14203i | −0.0551956 | − | 0.0401019i | 0.559845 | − | 0.828597i | \(-0.310861\pi\) |
−0.615041 | + | 0.788495i | \(0.710861\pi\) | |||||||
\(812\) | 18.5825 | − | 20.6379i | 0.652117 | − | 0.724249i | ||||
\(813\) | 0.135848 | + | 6.44810i | 0.00476440 | + | 0.226145i | ||||
\(814\) | 6.17482 | + | 3.93897i | 0.216427 | + | 0.138061i | ||||
\(815\) | −18.0646 | + | 31.2888i | −0.632775 | + | 1.09600i | ||||
\(816\) | −19.9339 | − | 17.2023i | −0.697826 | − | 0.602200i | ||||
\(817\) | 0.167031 | − | 1.58919i | 0.00584367 | − | 0.0555988i | ||||
\(818\) | −0.556008 | + | 0.403964i | −0.0194404 | + | 0.0141243i | ||||
\(819\) | 12.6441 | − | 45.3282i | 0.441819 | − | 1.58390i | ||||
\(820\) | −11.0369 | + | 33.9680i | −0.385424 | + | 1.18621i | ||||
\(821\) | 9.90445 | + | 4.40974i | 0.345668 | + | 0.153901i | 0.572225 | − | 0.820097i | \(-0.306080\pi\) |
−0.226557 | + | 0.973998i | \(0.572747\pi\) | |||||||
\(822\) | 0.229117 | + | 0.486746i | 0.00799138 | + | 0.0169772i | ||||
\(823\) | −46.6261 | − | 9.91069i | −1.62529 | − | 0.345465i | −0.696924 | − | 0.717145i | \(-0.745449\pi\) |
−0.928361 | + | 0.371680i | \(0.878782\pi\) | |||||||
\(824\) | 2.83556 | − | 4.91134i | 0.0987815 | − | 0.171094i | ||||
\(825\) | 12.3888 | − | 5.17544i | 0.431324 | − | 0.180186i | ||||
\(826\) | 6.59880 | + | 11.4295i | 0.229601 | + | 0.397681i | ||||
\(827\) | 11.5619 | + | 35.5838i | 0.402046 | + | 1.23737i | 0.923337 | + | 0.383991i | \(0.125451\pi\) |
−0.521291 | + | 0.853379i | \(0.674549\pi\) | |||||||
\(828\) | 0.671196 | − | 10.7097i | 0.0233257 | − | 0.372186i | ||||
\(829\) | −8.66207 | + | 6.29336i | −0.300846 | + | 0.218578i | −0.727959 | − | 0.685621i | \(-0.759531\pi\) |
0.427113 | + | 0.904198i | \(0.359531\pi\) | |||||||
\(830\) | 4.91097 | − | 1.04386i | 0.170462 | − | 0.0362329i | ||||
\(831\) | 1.54356 | + | 6.57741i | 0.0535454 | + | 0.228168i | ||||
\(832\) | 2.46115 | + | 23.4163i | 0.0853252 | + | 0.811815i | ||||
\(833\) | −37.8570 | + | 16.8550i | −1.31167 | + | 0.583992i | ||||
\(834\) | −1.34553 | + | 0.468745i | −0.0465919 | + | 0.0162313i | ||||
\(835\) | 25.6181 | + | 44.3718i | 0.886549 | + | 1.53555i | ||||
\(836\) | 5.69284 | + | 8.61209i | 0.196891 | + | 0.297856i | ||||
\(837\) | −22.6451 | − | 11.2309i | −0.782730 | − | 0.388197i | ||||
\(838\) | −0.987051 | − | 3.03783i | −0.0340971 | − | 0.104940i | ||||
\(839\) | −1.60571 | + | 15.2774i | −0.0554354 | + | 0.527433i | 0.931202 | + | 0.364503i | \(0.118761\pi\) |
−0.986638 | + | 0.162930i | \(0.947906\pi\) | |||||||
\(840\) | −12.9130 | − | 17.0079i | −0.445539 | − | 0.586829i | ||||
\(841\) | −10.9562 | − | 12.1681i | −0.377799 | − | 0.419588i | ||||
\(842\) | −1.31746 | − | 1.46319i | −0.0454026 | − | 0.0504247i | ||||
\(843\) | −0.0265872 | + | 0.0632699i | −0.000915713 | + | 0.00217913i | ||||
\(844\) | 1.65862 | − | 15.7807i | 0.0570920 | − | 0.543194i | ||||
\(845\) | 1.53168 | + | 4.71402i | 0.0526913 | + | 0.162167i | ||||
\(846\) | 2.32390 | − | 4.44783i | 0.0798974 | − | 0.152920i | ||||
\(847\) | 10.0272 | + | 43.6703i | 0.344539 | + | 1.50053i | ||||
\(848\) | 2.76543 | + | 4.78987i | 0.0949654 | + | 0.164485i | ||||
\(849\) | 2.07384 | − | 10.8786i | 0.0711740 | − | 0.373353i | ||||
\(850\) | −2.63032 | + | 1.17109i | −0.0902192 | + | 0.0401682i | ||||
\(851\) | 1.50913 | + | 14.3585i | 0.0517325 | + | 0.492201i | ||||
\(852\) | −13.9072 | + | 13.0629i | −0.476453 | + | 0.447528i | ||||
\(853\) | −40.5581 | + | 8.62090i | −1.38868 | + | 0.295174i | −0.840785 | − | 0.541370i | \(-0.817906\pi\) |
−0.547900 | + | 0.836544i | \(0.684573\pi\) | |||||||
\(854\) | −8.08825 | + | 5.87646i | −0.276774 | + | 0.201088i | ||||
\(855\) | 11.8068 | − | 5.86452i | 0.403785 | − | 0.200562i | ||||
\(856\) | 0.959576 | + | 2.95327i | 0.0327976 | + | 0.100941i | ||||
\(857\) | −9.20273 | − | 15.9396i | −0.314359 | − | 0.544486i | 0.664942 | − | 0.746895i | \(-0.268456\pi\) |
−0.979301 | + | 0.202409i | \(0.935123\pi\) | |||||||
\(858\) | 5.70173 | + | 2.69852i | 0.194654 | + | 0.0921258i | ||||
\(859\) | 7.52426 | − | 13.0324i | 0.256725 | − | 0.444660i | −0.708638 | − | 0.705572i | \(-0.750690\pi\) |
0.965363 | + | 0.260912i | \(0.0840233\pi\) | |||||||
\(860\) | 5.00735 | + | 1.06435i | 0.170749 | + | 0.0362939i | ||||
\(861\) | −27.6660 | + | 39.8164i | −0.942853 | + | 1.35694i | ||||
\(862\) | −7.60142 | − | 3.38437i | −0.258905 | − | 0.115272i | ||||
\(863\) | −4.45906 | + | 13.7236i | −0.151788 | + | 0.467155i | −0.997821 | − | 0.0659746i | \(-0.978984\pi\) |
0.846033 | + | 0.533130i | \(0.178984\pi\) | |||||||
\(864\) | 11.7682 | − | 12.0261i | 0.400364 | − | 0.409135i | ||||
\(865\) | 3.31799 | − | 2.41066i | 0.112815 | − | 0.0819649i | ||||
\(866\) | 1.08900 | − | 10.3611i | 0.0370056 | − | 0.352084i | ||||
\(867\) | −2.72198 | + | 0.948263i | −0.0924433 | + | 0.0322047i | ||||
\(868\) | 19.0095 | − | 32.9255i | 0.645225 | − | 1.11756i | ||||
\(869\) | 5.19484 | + | 13.2110i | 0.176223 | + | 0.448152i | ||||
\(870\) | 4.06588 | − | 2.46306i | 0.137846 | − | 0.0835054i | ||||
\(871\) | −4.48507 | + | 4.98118i | −0.151971 | + | 0.168781i | ||||
\(872\) | −15.6910 | − | 11.4002i | −0.531365 | − | 0.386059i | ||||
\(873\) | 20.6784 | + | 8.18137i | 0.699857 | + | 0.276898i | ||||
\(874\) | 0.266492 | − | 0.820177i | 0.00901421 | − | 0.0277429i | ||||
\(875\) | −28.7378 | + | 6.10840i | −0.971514 | + | 0.206502i | ||||
\(876\) | 13.3418 | − | 1.68710i | 0.450777 | − | 0.0570017i | ||||
\(877\) | −21.9939 | + | 9.79233i | −0.742683 | + | 0.330664i | −0.742960 | − | 0.669336i | \(-0.766579\pi\) |
0.000276873 | 1.00000i | \(0.499912\pi\) | ||||||||
\(878\) | 5.99601 | + | 1.27449i | 0.202356 | + | 0.0430120i | ||||
\(879\) | 35.5303 | + | 19.5274i | 1.19841 | + | 0.658642i | ||||
\(880\) | −28.0489 | + | 14.5801i | −0.945527 | + | 0.491494i | ||||
\(881\) | −10.0956 | −0.340129 | −0.170064 | − | 0.985433i | \(-0.554398\pi\) | ||||
−0.170064 | + | 0.985433i | \(0.554398\pi\) | |||||||
\(882\) | −2.86206 | − | 7.69016i | −0.0963706 | − | 0.258941i | ||||
\(883\) | −41.0332 | − | 29.8124i | −1.38088 | − | 1.00327i | −0.996798 | − | 0.0799659i | \(-0.974519\pi\) |
−0.384079 | − | 0.923300i | \(-0.625481\pi\) | |||||||
\(884\) | 29.1614 | + | 12.9835i | 0.980803 | + | 0.436682i | ||||
\(885\) | −12.1794 | − | 51.8991i | −0.409407 | − | 1.74457i | ||||
\(886\) | −6.38136 | − | 7.08721i | −0.214386 | − | 0.238100i | ||||
\(887\) | 0.268921 | + | 2.55861i | 0.00902949 | + | 0.0859099i | 0.998109 | − | 0.0614760i | \(-0.0195808\pi\) |
−0.989079 | + | 0.147386i | \(0.952914\pi\) | |||||||
\(888\) | −8.55279 | + | 12.3090i | −0.287013 | + | 0.413064i | ||||
\(889\) | −6.67880 | + | 7.41756i | −0.224000 | + | 0.248777i | ||||
\(890\) | 7.15422 | 0.239810 | ||||||||
\(891\) | 7.36956 | + | 28.9256i | 0.246889 | + | 0.969044i | ||||
\(892\) | 14.1064 | 0.472316 | ||||||||
\(893\) | −6.36808 | + | 7.07247i | −0.213100 | + | 0.236671i | ||||
\(894\) | 5.68570 | − | 8.18276i | 0.190158 | − | 0.273672i | ||||
\(895\) | −3.73440 | − | 35.5304i | −0.124827 | − | 1.18765i | ||||
\(896\) | 22.4038 | + | 24.8820i | 0.748460 | + | 0.831249i | ||||
\(897\) | 2.84090 | + | 12.1057i | 0.0948549 | + | 0.404196i | ||||
\(898\) | 10.2983 | + | 4.58508i | 0.343658 | + | 0.153006i | ||||
\(899\) | 13.9843 | + | 10.1602i | 0.466403 | + | 0.338862i | ||||
\(900\) | 4.69250 | + | 12.6084i | 0.156417 | + | 0.420280i | ||||
\(901\) | 6.79061 | 0.226228 | ||||||||
\(902\) | −4.63284 | − | 4.55811i | −0.154257 | − | 0.151768i | ||||
\(903\) | 6.09015 | + | 3.34713i | 0.202668 | + | 0.111386i | ||||
\(904\) | 1.03140 | + | 0.219232i | 0.0343040 | + | 0.00729154i | ||||
\(905\) | 6.92585 | − | 3.08359i | 0.230223 | − | 0.102502i | ||||
\(906\) | −5.42828 | + | 0.686418i | −0.180342 | + | 0.0228047i | ||||
\(907\) | −10.0699 | + | 2.14042i | −0.334366 | + | 0.0710716i | −0.372035 | − | 0.928219i | \(-0.621340\pi\) |
0.0376696 | + | 0.999290i | \(0.488007\pi\) | |||||||
\(908\) | 11.2304 | − | 34.5636i | 0.372693 | − | 1.14703i | ||||
\(909\) | 38.2666 | + | 15.1401i | 1.26922 | + | 0.502166i | ||||
\(910\) | 9.80197 | + | 7.12155i | 0.324932 | + | 0.236077i | ||||
\(911\) | −10.4401 | + | 11.5950i | −0.345897 | + | 0.384158i | −0.890841 | − | 0.454315i | \(-0.849884\pi\) |
0.544944 | + | 0.838472i | \(0.316551\pi\) | |||||||
\(912\) | −8.45665 | + | 5.12293i | −0.280028 | + | 0.169637i | ||||
\(913\) | 5.41031 | − | 20.8688i | 0.179055 | − | 0.690655i | ||||
\(914\) | −5.34829 | + | 9.26351i | −0.176906 | + | 0.306410i | ||||
\(915\) | 38.1355 | − | 13.2854i | 1.26072 | − | 0.439201i | ||||
\(916\) | −1.57627 | + | 14.9972i | −0.0520815 | + | 0.495523i | ||||
\(917\) | 13.1729 | − | 9.57070i | 0.435009 | − | 0.316052i | ||||
\(918\) | −1.72363 | − | 6.16471i | −0.0568882 | − | 0.203466i | ||||
\(919\) | 3.46483 | − | 10.6637i | 0.114294 | − | 0.351761i | −0.877505 | − | 0.479568i | \(-0.840794\pi\) |
0.991799 | + | 0.127806i | \(0.0407935\pi\) | |||||||
\(920\) | 5.15477 | + | 2.29505i | 0.169948 | + | 0.0756655i | ||||
\(921\) | 28.8093 | − | 41.4619i | 0.949300 | − | 1.36622i | ||||
\(922\) | −5.40131 | − | 1.14808i | −0.177883 | − | 0.0378102i | ||||
\(923\) | 11.0549 | − | 19.1476i | 0.363875 | − | 0.630251i | ||||
\(924\) | −44.1198 | + | 8.31479i | −1.45143 | + | 0.273536i | ||||
\(925\) | −9.05036 | − | 15.6757i | −0.297574 | − | 0.515413i | ||||
\(926\) | −1.26440 | − | 3.89141i | −0.0415506 | − | 0.127880i | ||||
\(927\) | −13.6362 | + | 6.77320i | −0.447873 | + | 0.222461i | ||||
\(928\) | −9.30886 | + | 6.76328i | −0.305578 | + | 0.222016i | ||||
\(929\) | −23.0134 | + | 4.89164i | −0.755044 | + | 0.160490i | −0.569324 | − | 0.822113i | \(-0.692795\pi\) |
−0.185720 | + | 0.982603i | \(0.559462\pi\) | |||||||
\(930\) | 4.74355 | − | 4.45557i | 0.155547 | − | 0.146104i | ||||
\(931\) | 1.62658 | + | 15.4759i | 0.0533091 | + | 0.507202i | ||||
\(932\) | 11.5149 | − | 5.12678i | 0.377185 | − | 0.167933i | ||||
\(933\) | −6.39152 | + | 33.5275i | −0.209249 | + | 1.09764i | ||||
\(934\) | 3.18239 | + | 5.51206i | 0.104131 | + | 0.180360i | ||||
\(935\) | −1.71609 | + | 38.7741i | −0.0561221 | + | 1.26805i | ||||
\(936\) | −5.97805 | + | 11.4417i | −0.195399 | + | 0.373983i | ||||
\(937\) | 5.76486 | + | 17.7424i | 0.188330 | + | 0.579619i | 0.999990 | − | 0.00451068i | \(-0.00143580\pi\) |
−0.811660 | + | 0.584130i | \(0.801436\pi\) | |||||||
\(938\) | −0.211322 | + | 2.01060i | −0.00689992 | + | 0.0656483i | ||||
\(939\) | −0.898056 | + | 2.13711i | −0.0293069 | + | 0.0697420i | ||||
\(940\) | −20.4009 | − | 22.6575i | −0.665405 | − | 0.739007i | ||||
\(941\) | −21.7418 | − | 24.1467i | −0.708763 | − | 0.787161i | 0.275982 | − | 0.961163i | \(-0.410997\pi\) |
−0.984745 | + | 0.174002i | \(0.944330\pi\) | |||||||
\(942\) | −0.0993873 | − | 0.130905i | −0.00323821 | − | 0.00426512i | ||||
\(943\) | 1.33914 | − | 12.7411i | 0.0436085 | − | 0.414908i | ||||
\(944\) | 12.3551 | + | 38.0250i | 0.402123 | + | 1.23761i | ||||
\(945\) | 3.62066 | + | 57.2177i | 0.117780 | + | 1.86129i | ||||
\(946\) | −0.580329 | + | 0.728681i | −0.0188681 | + | 0.0236915i | ||||
\(947\) | 1.92137 | + | 3.32790i | 0.0624360 | + | 0.108142i | 0.895554 | − | 0.444953i | \(-0.146780\pi\) |
−0.833118 | + | 0.553096i | \(0.813446\pi\) | |||||||
\(948\) | −13.4323 | + | 4.67945i | −0.436262 | + | 0.151981i | ||||
\(949\) | −14.2361 | + | 6.33833i | −0.462124 | + | 0.205751i | ||||
\(950\) | 0.113016 | + | 1.07527i | 0.00366671 | + | 0.0348864i | ||||
\(951\) | −1.58323 | − | 6.74646i | −0.0513397 | − | 0.218769i | ||||
\(952\) | 19.2340 | − | 4.08832i | 0.623379 | − | 0.132503i | ||||
\(953\) | −15.4434 | + | 11.2203i | −0.500262 | + | 0.363461i | −0.809117 | − | 0.587648i | \(-0.800054\pi\) |
0.308855 | + | 0.951109i | \(0.400054\pi\) | |||||||
\(954\) | −0.0841044 | + | 1.34198i | −0.00272298 | + | 0.0434481i | ||||
\(955\) | −14.0134 | − | 43.1289i | −0.453464 | − | 1.39562i | ||||
\(956\) | −24.5077 | − | 42.4486i | −0.792636 | − | 1.37289i | ||||
\(957\) | −1.66289 | − | 20.3446i | −0.0537535 | − | 0.657646i | ||||
\(958\) | 3.31651 | − | 5.74436i | 0.107152 | − | 0.185592i | ||||
\(959\) | 4.33995 | + | 0.922485i | 0.140144 | + | 0.0297886i | ||||
\(960\) | −12.2168 | − | 25.9540i | −0.394297 | − | 0.837660i | ||||
\(961\) | −6.70155 | − | 2.98372i | −0.216179 | − | 0.0962492i | ||||
\(962\) | 2.62793 | − | 8.08795i | 0.0847280 | − | 0.260766i | ||||
\(963\) | 2.24003 | − | 8.03036i | 0.0721838 | − | 0.258775i | ||||
\(964\) | −4.62879 | + | 3.36302i | −0.149083 | + | 0.108315i | ||||
\(965\) | 6.24022 | − | 59.3718i | 0.200880 | − | 1.91124i | ||||
\(966\) | 2.83936 | + | 2.45027i | 0.0913549 | + | 0.0788362i | ||||
\(967\) | −13.2813 | + | 23.0039i | −0.427099 | + | 0.739757i | −0.996614 | − | 0.0822239i | \(-0.973798\pi\) |
0.569515 | + | 0.821981i | \(0.307131\pi\) | |||||||
\(968\) | −0.199855 | − | 12.2899i | −0.00642357 | − | 0.395011i | ||||
\(969\) | 0.255693 | + | 12.1366i | 0.00821406 | + | 0.389885i | ||||
\(970\) | −3.83110 | + | 4.25487i | −0.123009 | + | 0.136616i | ||||
\(971\) | 41.3472 | + | 30.0405i | 1.32689 | + | 0.964045i | 0.999819 | + | 0.0190472i | \(0.00606329\pi\) |
0.327076 | + | 0.944998i | \(0.393937\pi\) | |||||||
\(972\) | −29.2521 | + | 6.23619i | −0.938261 | + | 0.200026i | ||||
\(973\) | −3.63134 | + | 11.1761i | −0.116415 | + | 0.358290i | ||||
\(974\) | −0.0755312 | + | 0.0160547i | −0.00242018 | + | 0.000514424i | ||||
\(975\) | −9.42690 | − | 12.4164i | −0.301902 | − | 0.397642i | ||||
\(976\) | −27.6691 | + | 12.3191i | −0.885666 | + | 0.394324i | ||||
\(977\) | 20.7119 | + | 4.40244i | 0.662631 | + | 0.140847i | 0.526937 | − | 0.849904i | \(-0.323340\pi\) |
0.135694 | + | 0.990751i | \(0.456674\pi\) | |||||||
\(978\) | 5.63434 | − | 3.41321i | 0.180166 | − | 0.109142i | ||||
\(979\) | 13.7236 | − | 27.4842i | 0.438608 | − | 0.878399i | ||||
\(980\) | −49.8521 | −1.59247 | ||||||||
\(981\) | 18.1626 | + | 48.8016i | 0.579887 | + | 1.55812i | ||||
\(982\) | 0.970410 | + | 0.705044i | 0.0309670 | + | 0.0224989i | ||||
\(983\) | 46.4405 | + | 20.6766i | 1.48122 | + | 0.659482i | 0.978740 | − | 0.205106i | \(-0.0657539\pi\) |
0.502481 | + | 0.864588i | \(0.332421\pi\) | |||||||
\(984\) | 9.69448 | − | 9.10592i | 0.309049 | − | 0.290286i | ||||
\(985\) | 33.0321 | + | 36.6859i | 1.05249 | + | 1.16891i | ||||
\(986\) | 0.457559 | + | 4.35338i | 0.0145716 | + | 0.138640i | ||||
\(987\) | −17.6268 | − | 37.4472i | −0.561069 | − | 1.19196i | ||||
\(988\) | 8.02073 | − | 8.90792i | 0.255173 | − | 0.283399i | ||||
\(989\) | −1.83625 | −0.0583895 | ||||||||
\(990\) | −7.64139 | − | 0.819371i | −0.242859 | − | 0.0260413i | ||||
\(991\) | −13.1480 | −0.417662 | −0.208831 | − | 0.977952i | \(-0.566966\pi\) | ||||
−0.208831 | + | 0.977952i | \(0.566966\pi\) | |||||||
\(992\) | −10.5404 | + | 11.7063i | −0.334659 | + | 0.371677i | ||||
\(993\) | −5.48923 | − | 0.460276i | −0.174196 | − | 0.0146064i | ||||
\(994\) | −0.697061 | − | 6.63209i | −0.0221094 | − | 0.210357i | ||||
\(995\) | −45.4860 | − | 50.5174i | −1.44200 | − | 1.60151i | ||||
\(996\) | 20.6806 | + | 6.24113i | 0.655291 | + | 0.197758i | ||||
\(997\) | −33.9918 | − | 15.1341i | −1.07653 | − | 0.479303i | −0.209629 | − | 0.977781i | \(-0.567226\pi\) |
−0.866902 | + | 0.498478i | \(0.833892\pi\) | |||||||
\(998\) | 3.54437 | + | 2.57514i | 0.112195 | + | 0.0815146i | ||||
\(999\) | 37.4103 | − | 14.8275i | 1.18361 | − | 0.469120i |
(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 | 99.2.m.b.49.5 | yes | 72 | |
3.2 | odd | 2 | 297.2.n.b.280.5 | 72 | |||
9.2 | odd | 6 | 297.2.n.b.181.5 | 72 | |||
9.4 | even | 3 | 891.2.f.f.82.5 | 36 | |||
9.5 | odd | 6 | 891.2.f.e.82.5 | 36 | |||
9.7 | even | 3 | inner | 99.2.m.b.16.5 | ✓ | 72 | |
11.3 | even | 5 | 1089.2.e.p.364.9 | 36 | |||
11.8 | odd | 10 | 1089.2.e.o.364.10 | 36 | |||
11.9 | even | 5 | inner | 99.2.m.b.31.5 | yes | 72 | |
33.20 | odd | 10 | 297.2.n.b.64.5 | 72 | |||
99.14 | odd | 30 | 9801.2.a.cp.1.9 | 18 | |||
99.20 | odd | 30 | 297.2.n.b.262.5 | 72 | |||
99.25 | even | 15 | 1089.2.e.p.727.9 | 36 | |||
99.31 | even | 15 | 891.2.f.f.163.5 | 36 | |||
99.41 | even | 30 | 9801.2.a.cn.1.10 | 18 | |||
99.52 | odd | 30 | 1089.2.e.o.727.10 | 36 | |||
99.58 | even | 15 | 9801.2.a.cm.1.10 | 18 | |||
99.85 | odd | 30 | 9801.2.a.co.1.9 | 18 | |||
99.86 | odd | 30 | 891.2.f.e.163.5 | 36 | |||
99.97 | even | 15 | inner | 99.2.m.b.97.5 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.m.b.16.5 | ✓ | 72 | 9.7 | even | 3 | inner | |
99.2.m.b.31.5 | yes | 72 | 11.9 | even | 5 | inner | |
99.2.m.b.49.5 | yes | 72 | 1.1 | even | 1 | trivial | |
99.2.m.b.97.5 | yes | 72 | 99.97 | even | 15 | inner | |
297.2.n.b.64.5 | 72 | 33.20 | odd | 10 | |||
297.2.n.b.181.5 | 72 | 9.2 | odd | 6 | |||
297.2.n.b.262.5 | 72 | 99.20 | odd | 30 | |||
297.2.n.b.280.5 | 72 | 3.2 | odd | 2 | |||
891.2.f.e.82.5 | 36 | 9.5 | odd | 6 | |||
891.2.f.e.163.5 | 36 | 99.86 | odd | 30 | |||
891.2.f.f.82.5 | 36 | 9.4 | even | 3 | |||
891.2.f.f.163.5 | 36 | 99.31 | even | 15 | |||
1089.2.e.o.364.10 | 36 | 11.8 | odd | 10 | |||
1089.2.e.o.727.10 | 36 | 99.52 | odd | 30 | |||
1089.2.e.p.364.9 | 36 | 11.3 | even | 5 | |||
1089.2.e.p.727.9 | 36 | 99.25 | even | 15 | |||
9801.2.a.cm.1.10 | 18 | 99.58 | even | 15 | |||
9801.2.a.cn.1.10 | 18 | 99.41 | even | 30 | |||
9801.2.a.co.1.9 | 18 | 99.85 | odd | 30 | |||
9801.2.a.cp.1.9 | 18 | 99.14 | odd | 30 |