Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [432,2,Mod(13,432)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(432, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([0, 27, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("432.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 432 = 2^{4} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 432.bg (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.44953736732\) |
Analytic rank: | \(0\) |
Dimension: | \(840\) |
Relative dimension: | \(70\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 13.19 | ||
Character | \(\chi\) | \(=\) | 432.13 |
Dual form | 432.2.bg.a.133.19 |
$q$-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 \(\left(\mathbb{Z}/432\mathbb{Z}\right)^\times\).
\(n\) | \(271\) | \(325\) | \(353\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.881475 | − | 1.10589i | −0.623297 | − | 0.781985i | ||||
\(3\) | −0.338579 | − | 1.69864i | −0.195479 | − | 0.980708i | ||||
\(4\) | −0.446003 | + | 1.94964i | −0.223002 | + | 0.974818i | ||||
\(5\) | 0.423518 | − | 0.0370531i | 0.189403 | − | 0.0165706i | 0.00794058 | − | 0.999968i | \(-0.497472\pi\) |
0.181463 | + | 0.983398i | \(0.441917\pi\) | |||||||
\(6\) | −1.58006 | + | 1.87174i | −0.645058 | + | 0.764134i | ||||
\(7\) | 0.916962 | − | 2.51933i | 0.346579 | − | 0.952218i | −0.636860 | − | 0.770979i | \(-0.719767\pi\) |
0.983439 | − | 0.181238i | \(-0.0580106\pi\) | |||||||
\(8\) | 2.54923 | − | 1.22532i | 0.901289 | − | 0.433217i | ||||
\(9\) | −2.77073 | + | 1.15024i | −0.923576 | + | 0.383415i | ||||
\(10\) | −0.414298 | − | 0.435705i | −0.131012 | − | 0.137782i | ||||
\(11\) | 0.274781 | − | 3.14076i | 0.0828495 | − | 0.946974i | −0.835054 | − | 0.550169i | \(-0.814563\pi\) |
0.917903 | − | 0.396805i | \(-0.129881\pi\) | |||||||
\(12\) | 3.46273 | + | 0.0974913i | 0.999604 | + | 0.0281433i | ||||
\(13\) | −1.55009 | + | 1.08538i | −0.429917 | + | 0.301031i | −0.768434 | − | 0.639929i | \(-0.778964\pi\) |
0.338517 | + | 0.940960i | \(0.390075\pi\) | |||||||
\(14\) | −3.59439 | + | 1.20667i | −0.960642 | + | 0.322495i | ||||
\(15\) | −0.206334 | − | 0.706858i | −0.0532752 | − | 0.182510i | ||||
\(16\) | −3.60216 | − | 1.73909i | −0.900541 | − | 0.434772i | ||||
\(17\) | 1.61788 | − | 2.80224i | 0.392392 | − | 0.679644i | −0.600372 | − | 0.799721i | \(-0.704981\pi\) |
0.992765 | + | 0.120077i | \(0.0383142\pi\) | |||||||
\(18\) | 3.71438 | + | 2.05022i | 0.875487 | + | 0.483242i | ||||
\(19\) | −0.408402 | + | 1.52418i | −0.0936938 | + | 0.349670i | −0.996818 | − | 0.0797091i | \(-0.974601\pi\) |
0.903124 | + | 0.429379i | \(0.141268\pi\) | |||||||
\(20\) | −0.116651 | + | 0.842233i | −0.0260839 | + | 0.188329i | ||||
\(21\) | −4.58989 | − | 0.704592i | −1.00160 | − | 0.153755i | ||||
\(22\) | −3.71556 | + | 2.46462i | −0.792159 | + | 0.525459i | ||||
\(23\) | −2.45757 | − | 6.75212i | −0.512439 | − | 1.40791i | −0.878688 | − | 0.477397i | \(-0.841580\pi\) |
0.366249 | − | 0.930517i | \(-0.380642\pi\) | |||||||
\(24\) | −2.94450 | − | 3.91535i | −0.601043 | − | 0.799217i | ||||
\(25\) | −4.74604 | + | 0.836856i | −0.949209 | + | 0.167371i | ||||
\(26\) | 2.56668 | + | 0.757494i | 0.503368 | + | 0.148557i | ||||
\(27\) | 2.89196 | + | 4.31701i | 0.556557 | + | 0.830809i | ||||
\(28\) | 4.50281 | + | 2.91137i | 0.850951 | + | 0.550197i | ||||
\(29\) | 0.795476 | − | 1.13606i | 0.147716 | − | 0.210961i | −0.738474 | − | 0.674282i | \(-0.764453\pi\) |
0.886191 | + | 0.463321i | \(0.153342\pi\) | |||||||
\(30\) | −0.599832 | + | 0.851262i | −0.109514 | + | 0.155418i | ||||
\(31\) | −2.03530 | + | 0.740788i | −0.365550 | + | 0.133049i | −0.518263 | − | 0.855221i | \(-0.673421\pi\) |
0.152713 | + | 0.988271i | \(0.451199\pi\) | |||||||
\(32\) | 1.25197 | + | 5.51657i | 0.221319 | + | 0.975201i | ||||
\(33\) | −5.42804 | + | 0.596641i | −0.944900 | + | 0.103862i | ||||
\(34\) | −4.52510 | + | 0.680908i | −0.776048 | + | 0.116775i | ||||
\(35\) | 0.295001 | − | 1.10096i | 0.0498643 | − | 0.186096i | ||||
\(36\) | −1.00680 | − | 5.91493i | −0.167801 | − | 0.985821i | ||||
\(37\) | 0.727455 | + | 2.71490i | 0.119593 | + | 0.446326i | 0.999589 | − | 0.0286535i | \(-0.00912195\pi\) |
−0.879997 | + | 0.474980i | \(0.842455\pi\) | |||||||
\(38\) | 2.04557 | − | 0.891874i | 0.331836 | − | 0.144681i | ||||
\(39\) | 2.36850 | + | 2.26555i | 0.379263 | + | 0.362778i | ||||
\(40\) | 1.03424 | − | 0.613404i | 0.163528 | − | 0.0969877i | ||||
\(41\) | −10.1355 | − | 1.78716i | −1.58290 | − | 0.279107i | −0.688112 | − | 0.725604i | \(-0.741560\pi\) |
−0.894785 | + | 0.446497i | \(0.852671\pi\) | |||||||
\(42\) | 3.26667 | + | 5.69701i | 0.504058 | + | 0.879068i | ||||
\(43\) | −0.694914 | + | 7.94290i | −0.105973 | + | 1.21128i | 0.737964 | + | 0.674840i | \(0.235787\pi\) |
−0.843938 | + | 0.536441i | \(0.819768\pi\) | |||||||
\(44\) | 6.00078 | + | 1.93651i | 0.904651 | + | 0.291940i | ||||
\(45\) | −1.13083 | + | 0.589814i | −0.168575 | + | 0.0879242i | ||||
\(46\) | −5.30084 | + | 8.66964i | −0.781566 | + | 1.27827i | ||||
\(47\) | 6.32597 | + | 2.30246i | 0.922737 | + | 0.335849i | 0.759327 | − | 0.650709i | \(-0.225528\pi\) |
0.163410 | + | 0.986558i | \(0.447751\pi\) | |||||||
\(48\) | −1.73446 | + | 6.70758i | −0.250348 | + | 0.968156i | ||||
\(49\) | −0.143900 | − | 0.120746i | −0.0205572 | − | 0.0172495i | ||||
\(50\) | 5.10899 | + | 4.51095i | 0.722521 | + | 0.637945i | ||||
\(51\) | −5.30777 | − | 1.79940i | −0.743236 | − | 0.251967i | ||||
\(52\) | −1.42476 | − | 3.50619i | −0.197578 | − | 0.486221i | ||||
\(53\) | 0.140634 | − | 0.140634i | 0.0193175 | − | 0.0193175i | −0.697382 | − | 0.716700i | \(-0.745652\pi\) |
0.716700 | + | 0.697382i | \(0.245652\pi\) | |||||||
\(54\) | 2.22497 | − | 7.00354i | 0.302780 | − | 0.953061i | ||||
\(55\) | − | 1.34035i | − | 0.180733i | ||||||
\(56\) | −0.749449 | − | 7.54593i | −0.100149 | − | 1.00837i | ||||
\(57\) | 2.72730 | + | 0.177672i | 0.361239 | + | 0.0235332i | ||||
\(58\) | −1.95755 | + | 0.121694i | −0.257039 | + | 0.0159793i | ||||
\(59\) | 12.3237 | − | 1.07819i | 1.60441 | − | 0.140368i | 0.750532 | − | 0.660835i | \(-0.229798\pi\) |
0.853882 | + | 0.520467i | \(0.174242\pi\) | |||||||
\(60\) | 1.47014 | − | 0.0870154i | 0.189795 | − | 0.0112336i | ||||
\(61\) | −3.35111 | − | 7.18649i | −0.429066 | − | 0.920135i | −0.995386 | − | 0.0959498i | \(-0.969411\pi\) |
0.566320 | − | 0.824185i | \(-0.308367\pi\) | |||||||
\(62\) | 2.61330 | + | 1.59784i | 0.331889 | + | 0.202926i | ||||
\(63\) | 0.357195 | + | 8.03511i | 0.0450023 | + | 1.01233i | ||||
\(64\) | 4.99716 | − | 6.24727i | 0.624645 | − | 0.780909i | ||||
\(65\) | −0.616274 | + | 0.517115i | −0.0764393 | + | 0.0641402i | ||||
\(66\) | 5.44450 | + | 5.47691i | 0.670172 | + | 0.674161i | ||||
\(67\) | 0.433115 | − | 0.303270i | 0.0529134 | − | 0.0370504i | −0.546821 | − | 0.837250i | \(-0.684162\pi\) |
0.599734 | + | 0.800200i | \(0.295273\pi\) | |||||||
\(68\) | 4.74178 | + | 4.40408i | 0.575025 | + | 0.534073i | ||||
\(69\) | −10.6373 | + | 6.46064i | −1.28058 | + | 0.777770i | ||||
\(70\) | −1.47758 | + | 0.644228i | −0.176605 | + | 0.0770000i | ||||
\(71\) | −10.2100 | − | 5.89475i | −1.21171 | − | 0.699578i | −0.248575 | − | 0.968613i | \(-0.579962\pi\) |
−0.963131 | + | 0.269034i | \(0.913295\pi\) | |||||||
\(72\) | −5.65381 | + | 6.32728i | −0.666308 | + | 0.745677i | ||||
\(73\) | 7.05039 | − | 4.07054i | 0.825185 | − | 0.476421i | −0.0270161 | − | 0.999635i | \(-0.508601\pi\) |
0.852201 | + | 0.523214i | \(0.175267\pi\) | |||||||
\(74\) | 2.36116 | − | 3.19760i | 0.274479 | − | 0.371714i | ||||
\(75\) | 3.02842 | + | 7.77846i | 0.349692 | + | 0.898179i | ||||
\(76\) | −2.78944 | − | 1.47602i | −0.319971 | − | 0.169311i | ||||
\(77\) | −7.66064 | − | 3.57222i | −0.873011 | − | 0.407092i | ||||
\(78\) | 0.417683 | − | 4.61633i | 0.0472933 | − | 0.522696i | ||||
\(79\) | −2.98672 | − | 16.9385i | −0.336032 | − | 1.90573i | −0.416799 | − | 0.908999i | \(-0.636848\pi\) |
0.0807672 | − | 0.996733i | \(-0.474263\pi\) | |||||||
\(80\) | −1.59002 | − | 0.603064i | −0.177770 | − | 0.0674247i | ||||
\(81\) | 6.35388 | − | 6.37403i | 0.705986 | − | 0.708226i | ||||
\(82\) | 6.95777 | + | 12.7841i | 0.768357 | + | 1.41177i | ||||
\(83\) | 6.39768 | − | 9.13683i | 0.702236 | − | 1.00290i | −0.296616 | − | 0.954997i | \(-0.595858\pi\) |
0.998852 | − | 0.0479006i | \(-0.0152531\pi\) | |||||||
\(84\) | 3.42080 | − | 8.63437i | 0.373240 | − | 0.942087i | ||||
\(85\) | 0.581368 | − | 1.24675i | 0.0630583 | − | 0.135229i | ||||
\(86\) | 9.39655 | − | 6.23297i | 1.01326 | − | 0.672118i | ||||
\(87\) | −2.19908 | − | 0.966580i | −0.235766 | − | 0.103628i | ||||
\(88\) | −3.14796 | − | 8.34321i | −0.335574 | − | 0.889389i | ||||
\(89\) | 0.920958 | − | 0.531715i | 0.0976213 | − | 0.0563617i | −0.450395 | − | 0.892830i | \(-0.648717\pi\) |
0.548016 | + | 0.836468i | \(0.315383\pi\) | |||||||
\(90\) | 1.64907 | + | 0.730677i | 0.173828 | + | 0.0770201i | ||||
\(91\) | 1.31307 | + | 4.90044i | 0.137647 | + | 0.513705i | ||||
\(92\) | 14.2603 | − | 1.77990i | 1.48674 | − | 0.185568i | ||||
\(93\) | 1.94744 | + | 3.20642i | 0.201940 | + | 0.332490i | ||||
\(94\) | −3.02990 | − | 9.02542i | −0.312511 | − | 0.930901i | ||||
\(95\) | −0.116490 | + | 0.660649i | −0.0119516 | + | 0.0677812i | ||||
\(96\) | 8.94676 | − | 3.99444i | 0.913125 | − | 0.407681i | ||||
\(97\) | 3.09932 | − | 2.60063i | 0.314688 | − | 0.264054i | −0.471739 | − | 0.881738i | \(-0.656373\pi\) |
0.786426 | + | 0.617684i | \(0.211929\pi\) | |||||||
\(98\) | −0.00668849 | + | 0.265573i | −0.000675639 | + | 0.0268270i | ||||
\(99\) | 2.85129 | + | 9.01825i | 0.286566 | + | 0.906368i | ||||
\(100\) | 0.485186 | − | 9.62630i | 0.0485186 | − | 0.962630i | ||||
\(101\) | −2.29603 | + | 1.07065i | −0.228463 | + | 0.106534i | −0.533479 | − | 0.845813i | \(-0.679116\pi\) |
0.305016 | + | 0.952347i | \(0.401338\pi\) | |||||||
\(102\) | 2.68872 | + | 7.45596i | 0.266223 | + | 0.738250i | ||||
\(103\) | 9.95277 | − | 11.8613i | 0.980676 | − | 1.16872i | −0.00498520 | − | 0.999988i | \(-0.501587\pi\) |
0.985661 | − | 0.168737i | \(-0.0539687\pi\) | |||||||
\(104\) | −2.62159 | + | 4.66625i | −0.257068 | + | 0.457563i | ||||
\(105\) | −1.97001 | − | 0.128338i | −0.192253 | − | 0.0125245i | ||||
\(106\) | −0.279491 | − | 0.0315608i | −0.0271466 | − | 0.00306546i | ||||
\(107\) | −3.34165 | + | 3.34165i | −0.323049 | + | 0.323049i | −0.849936 | − | 0.526887i | \(-0.823359\pi\) |
0.526887 | + | 0.849936i | \(0.323359\pi\) | |||||||
\(108\) | −9.70642 | + | 3.71286i | −0.934001 | + | 0.357270i | ||||
\(109\) | 6.28858 | + | 6.28858i | 0.602336 | + | 0.602336i | 0.940932 | − | 0.338596i | \(-0.109952\pi\) |
−0.338596 | + | 0.940932i | \(0.609952\pi\) | |||||||
\(110\) | −1.48228 | + | 1.18148i | −0.141330 | + | 0.112650i | ||||
\(111\) | 4.36532 | − | 2.15489i | 0.414338 | − | 0.204533i | ||||
\(112\) | −7.68438 | + | 7.48036i | −0.726106 | + | 0.706828i | ||||
\(113\) | 4.17820 | + | 3.50592i | 0.393052 | + | 0.329809i | 0.817801 | − | 0.575502i | \(-0.195193\pi\) |
−0.424749 | + | 0.905311i | \(0.639638\pi\) | |||||||
\(114\) | −2.20756 | − | 3.17271i | −0.206757 | − | 0.297152i | ||||
\(115\) | −1.29101 | − | 2.76859i | −0.120388 | − | 0.258172i | ||||
\(116\) | 1.86011 | + | 2.05757i | 0.172707 | + | 0.191041i | ||||
\(117\) | 3.04642 | − | 4.79028i | 0.281641 | − | 0.442862i | ||||
\(118\) | −12.0554 | − | 12.6783i | −1.10979 | − | 1.16714i | ||||
\(119\) | −5.57625 | − | 6.64551i | −0.511174 | − | 0.609193i | ||||
\(120\) | −1.39212 | − | 1.54912i | −0.127083 | − | 0.141415i | ||||
\(121\) | 1.04404 | + | 0.184093i | 0.0949129 | + | 0.0167357i | ||||
\(122\) | −4.99357 | + | 10.0407i | −0.452096 | + | 0.909041i | ||||
\(123\) | 0.395927 | + | 17.8216i | 0.0356996 | + | 1.60692i | ||||
\(124\) | −0.536518 | − | 4.29848i | −0.0481807 | − | 0.386015i | ||||
\(125\) | −4.03228 | + | 1.08045i | −0.360658 | + | 0.0966380i | ||||
\(126\) | 8.57113 | − | 7.47777i | 0.763577 | − | 0.666173i | ||||
\(127\) | 1.19685 | + | 2.07300i | 0.106203 | + | 0.183949i | 0.914229 | − | 0.405198i | \(-0.132797\pi\) |
−0.808026 | + | 0.589147i | \(0.799464\pi\) | |||||||
\(128\) | −11.3137 | − | 0.0195209i | −0.999999 | − | 0.00172542i | ||||
\(129\) | 13.7274 | − | 1.50889i | 1.20863 | − | 0.132851i | ||||
\(130\) | 1.11510 | + | 0.225709i | 0.0978011 | + | 0.0197960i | ||||
\(131\) | 19.6275 | + | 9.15246i | 1.71486 | + | 0.799654i | 0.994342 | + | 0.106222i | \(0.0338755\pi\) |
0.720522 | + | 0.693432i | \(0.243902\pi\) | |||||||
\(132\) | 1.25769 | − | 10.8488i | 0.109468 | − | 0.944267i | ||||
\(133\) | 3.46542 | + | 2.42651i | 0.300490 | + | 0.210405i | ||||
\(134\) | −0.717165 | − | 0.211654i | −0.0619536 | − | 0.0182841i | ||||
\(135\) | 1.38476 | + | 1.72118i | 0.119181 | + | 0.148135i | ||||
\(136\) | 0.690685 | − | 9.12599i | 0.0592257 | − | 0.782547i | ||||
\(137\) | 5.58230 | − | 0.984311i | 0.476928 | − | 0.0840953i | 0.0699836 | − | 0.997548i | \(-0.477705\pi\) |
0.406945 | + | 0.913453i | \(0.366594\pi\) | |||||||
\(138\) | 16.5213 | + | 6.06884i | 1.40639 | + | 0.516614i | ||||
\(139\) | −0.491390 | + | 1.05379i | −0.0416792 | + | 0.0893813i | −0.926045 | − | 0.377413i | \(-0.876814\pi\) |
0.884366 | + | 0.466795i | \(0.154591\pi\) | |||||||
\(140\) | 2.01490 | + | 1.06618i | 0.170290 | + | 0.0901084i | ||||
\(141\) | 1.76921 | − | 11.5251i | 0.148994 | − | 0.970587i | ||||
\(142\) | 2.48090 | + | 16.4873i | 0.208192 | + | 1.38358i | ||||
\(143\) | 2.98299 | + | 5.16669i | 0.249450 | + | 0.432060i | ||||
\(144\) | 11.9810 | + | 0.675172i | 0.998416 | + | 0.0562643i | ||||
\(145\) | 0.294805 | − | 0.510616i | 0.0244822 | − | 0.0424044i | ||||
\(146\) | −10.7163 | − | 4.20890i | −0.886890 | − | 0.348331i | ||||
\(147\) | −0.156383 | + | 0.285316i | −0.0128982 | + | 0.0235325i | ||||
\(148\) | −5.61751 | + | 0.207419i | −0.461756 | + | 0.0170498i | ||||
\(149\) | −2.76849 | − | 3.95382i | −0.226804 | − | 0.323909i | 0.689581 | − | 0.724209i | \(-0.257795\pi\) |
−0.916384 | + | 0.400300i | \(0.868906\pi\) | |||||||
\(150\) | 5.93267 | − | 10.2056i | 0.484401 | − | 0.833287i | ||||
\(151\) | 1.65070 | + | 1.96722i | 0.134332 | + | 0.160090i | 0.829017 | − | 0.559224i | \(-0.188901\pi\) |
−0.694685 | + | 0.719314i | \(0.744456\pi\) | |||||||
\(152\) | 0.826498 | + | 4.38590i | 0.0670379 | + | 0.355744i | ||||
\(153\) | −1.25943 | + | 9.62521i | −0.101819 | + | 0.778152i | ||||
\(154\) | 2.80217 | + | 11.6207i | 0.225806 | + | 0.936421i | ||||
\(155\) | −0.834538 | + | 0.389151i | −0.0670317 | + | 0.0312574i | ||||
\(156\) | −5.47335 | + | 3.60727i | −0.438219 | + | 0.288812i | ||||
\(157\) | 0.716392 | + | 8.18840i | 0.0571743 | + | 0.653505i | 0.969670 | + | 0.244419i | \(0.0785971\pi\) |
−0.912496 | + | 0.409087i | \(0.865847\pi\) | |||||||
\(158\) | −16.0995 | + | 18.2339i | −1.28081 | + | 1.45061i | ||||
\(159\) | −0.286501 | − | 0.191270i | −0.0227210 | − | 0.0151687i | ||||
\(160\) | 0.734639 | + | 2.28998i | 0.0580783 | + | 0.181039i | ||||
\(161\) | −19.2643 | −1.51824 | ||||||||
\(162\) | −12.6498 | − | 1.40816i | −0.993861 | − | 0.110636i | ||||
\(163\) | 15.4369 | + | 15.4369i | 1.20911 | + | 1.20911i | 0.971315 | + | 0.237797i | \(0.0764252\pi\) |
0.237797 | + | 0.971315i | \(0.423575\pi\) | |||||||
\(164\) | 8.00477 | − | 18.9634i | 0.625068 | − | 1.48080i | ||||
\(165\) | −2.27677 | + | 0.453814i | −0.177246 | + | 0.0353294i | ||||
\(166\) | −15.7438 | + | 0.978736i | −1.22195 | + | 0.0759647i | ||||
\(167\) | −1.20806 | + | 1.43971i | −0.0934826 | + | 0.111408i | −0.810758 | − | 0.585382i | \(-0.800945\pi\) |
0.717275 | + | 0.696790i | \(0.245389\pi\) | |||||||
\(168\) | −12.5640 | + | 3.82793i | −0.969337 | + | 0.295332i | ||||
\(169\) | −3.22155 | + | 8.85113i | −0.247811 | + | 0.680856i | ||||
\(170\) | −1.89123 | + | 0.456046i | −0.145051 | + | 0.0349771i | ||||
\(171\) | −0.621604 | − | 4.69284i | −0.0475353 | − | 0.358870i | ||||
\(172\) | −15.1758 | − | 4.89739i | −1.15715 | − | 0.373422i | ||||
\(173\) | −14.1432 | − | 1.23737i | −1.07529 | − | 0.0940756i | −0.464272 | − | 0.885693i | \(-0.653684\pi\) |
−0.611018 | + | 0.791617i | \(0.709240\pi\) | |||||||
\(174\) | 0.869500 | + | 3.28397i | 0.0659166 | + | 0.248957i | ||||
\(175\) | −2.24362 | + | 12.7242i | −0.169602 | + | 0.961861i | ||||
\(176\) | −6.45185 | + | 10.8356i | −0.486327 | + | 0.816768i | ||||
\(177\) | −6.00400 | − | 20.5685i | −0.451289 | − | 1.54602i | ||||
\(178\) | −1.39982 | − | 0.549788i | −0.104921 | − | 0.0412083i | ||||
\(179\) | 9.55341 | − | 2.55983i | 0.714055 | − | 0.191330i | 0.116537 | − | 0.993186i | \(-0.462820\pi\) |
0.597518 | + | 0.801856i | \(0.296154\pi\) | |||||||
\(180\) | −0.645567 | − | 2.46778i | −0.0481177 | − | 0.183937i | ||||
\(181\) | 15.1556 | + | 4.06093i | 1.12651 | + | 0.301846i | 0.773513 | − | 0.633780i | \(-0.218498\pi\) |
0.352992 | + | 0.935626i | \(0.385164\pi\) | |||||||
\(182\) | 4.26193 | − | 5.77173i | 0.315915 | − | 0.427829i | ||||
\(183\) | −11.0726 | + | 8.12551i | −0.818511 | + | 0.600655i | ||||
\(184\) | −14.5385 | − | 14.2014i | −1.07179 | − | 1.04694i | ||||
\(185\) | 0.408686 | + | 1.12286i | 0.0300472 | + | 0.0825539i | ||||
\(186\) | 1.82934 | − | 4.98004i | 0.134134 | − | 0.365154i | ||||
\(187\) | −8.35660 | − | 5.85135i | −0.611095 | − | 0.427893i | ||||
\(188\) | −7.31037 | + | 11.3064i | −0.533163 | + | 0.824606i | ||||
\(189\) | 13.5278 | − | 3.32726i | 0.984002 | − | 0.242023i | ||||
\(190\) | 0.833291 | − | 0.453520i | 0.0604533 | − | 0.0329018i | ||||
\(191\) | −2.09524 | − | 11.8827i | −0.151606 | − | 0.859802i | −0.961823 | − | 0.273672i | \(-0.911762\pi\) |
0.810217 | − | 0.586130i | \(-0.199349\pi\) | |||||||
\(192\) | −12.3038 | − | 6.37317i | −0.887948 | − | 0.459944i | ||||
\(193\) | 23.5222 | − | 8.56137i | 1.69316 | − | 0.616261i | 0.698145 | − | 0.715956i | \(-0.254009\pi\) |
0.995018 | + | 0.0996952i | \(0.0317868\pi\) | |||||||
\(194\) | −5.60800 | − | 1.13512i | −0.402631 | − | 0.0814968i | ||||
\(195\) | 1.08705 | + | 0.871741i | 0.0778451 | + | 0.0624266i | ||||
\(196\) | 0.299592 | − | 0.226699i | 0.0213994 | − | 0.0161928i | ||||
\(197\) | −20.2064 | − | 5.41428i | −1.43964 | − | 0.385751i | −0.547234 | − | 0.836979i | \(-0.684319\pi\) |
−0.892409 | + | 0.451228i | \(0.850986\pi\) | |||||||
\(198\) | 7.45988 | − | 11.1026i | 0.530151 | − | 0.789027i | ||||
\(199\) | −0.675916 | − | 0.390240i | −0.0479144 | − | 0.0276634i | 0.475851 | − | 0.879526i | \(-0.342140\pi\) |
−0.523766 | + | 0.851862i | \(0.675473\pi\) | |||||||
\(200\) | −11.0733 | + | 7.94878i | −0.783004 | + | 0.562064i | ||||
\(201\) | −0.661789 | − | 0.633023i | −0.0466790 | − | 0.0446500i | ||||
\(202\) | 3.20792 | + | 1.59541i | 0.225709 | + | 0.112252i | ||||
\(203\) | −2.13269 | − | 3.04579i | −0.149685 | − | 0.213773i | ||||
\(204\) | 5.87546 | − | 9.54568i | 0.411364 | − | 0.668331i | ||||
\(205\) | −4.35879 | − | 0.381344i | −0.304431 | − | 0.0266342i | ||||
\(206\) | −21.8904 | − | 0.551312i | −1.52518 | − | 0.0384117i | ||||
\(207\) | 14.5759 | + | 15.8815i | 1.01309 | + | 1.10384i | ||||
\(208\) | 7.47124 | − | 1.21399i | 0.518037 | − | 0.0841749i | ||||
\(209\) | 4.67484 | + | 1.70150i | 0.323366 | + | 0.117695i | ||||
\(210\) | 1.59459 | + | 2.29175i | 0.110037 | + | 0.158146i | ||||
\(211\) | −0.964781 | − | 11.0275i | −0.0664183 | − | 0.759164i | −0.954253 | − | 0.299001i | \(-0.903347\pi\) |
0.887834 | − | 0.460163i | \(-0.152209\pi\) | |||||||
\(212\) | 0.211461 | + | 0.336907i | 0.0145232 | + | 0.0231389i | ||||
\(213\) | −6.55614 | + | 19.3389i | −0.449220 | + | 1.32508i | ||||
\(214\) | 6.64108 | + | 0.749928i | 0.453975 | + | 0.0512640i | ||||
\(215\) | 3.38971i | 0.231177i | ||||||||
\(216\) | 12.6620 | + | 7.46148i | 0.861540 | + | 0.507689i | ||||
\(217\) | 5.80686i | 0.394196i | ||||||||
\(218\) | 1.41128 | − | 12.4977i | 0.0955836 | − | 0.846453i | ||||
\(219\) | −9.30148 | − | 10.5978i | −0.628536 | − | 0.716136i | ||||
\(220\) | 2.61319 | + | 0.597800i | 0.176182 | + | 0.0403037i | ||||
\(221\) | 0.533658 | + | 6.09973i | 0.0358977 | + | 0.410312i | ||||
\(222\) | −6.23100 | − | 2.92810i | −0.418197 | − | 0.196521i | ||||
\(223\) | −14.2980 | − | 5.20405i | −0.957465 | − | 0.348489i | −0.184426 | − | 0.982846i | \(-0.559042\pi\) |
−0.773040 | + | 0.634358i | \(0.781265\pi\) | |||||||
\(224\) | 15.0461 | + | 1.90436i | 1.00531 | + | 0.127240i | ||||
\(225\) | 12.1874 | − | 7.77781i | 0.812494 | − | 0.518521i | ||||
\(226\) | 0.194203 | − | 7.71102i | 0.0129182 | − | 0.512930i | ||||
\(227\) | −8.99609 | − | 0.787056i | −0.597092 | − | 0.0522387i | −0.215396 | − | 0.976527i | \(-0.569104\pi\) |
−0.381696 | + | 0.924288i | \(0.624660\pi\) | |||||||
\(228\) | −1.56278 | + | 5.23799i | −0.103498 | + | 0.346895i | ||||
\(229\) | 16.3195 | + | 23.3066i | 1.07842 | + | 1.54014i | 0.818494 | + | 0.574515i | \(0.194809\pi\) |
0.259926 | + | 0.965629i | \(0.416302\pi\) | |||||||
\(230\) | −1.92377 | + | 3.86816i | −0.126849 | + | 0.255059i | ||||
\(231\) | −3.47416 | + | 14.2221i | −0.228583 | + | 0.935747i | ||||
\(232\) | 0.635815 | − | 3.87079i | 0.0417433 | − | 0.254130i | ||||
\(233\) | 18.1855 | + | 10.4994i | 1.19137 | + | 0.687841i | 0.958618 | − | 0.284695i | \(-0.0918922\pi\) |
0.232756 | + | 0.972535i | \(0.425226\pi\) | |||||||
\(234\) | −7.98288 | + | 0.853500i | −0.521857 | + | 0.0557951i | ||||
\(235\) | 2.76448 | + | 0.740740i | 0.180335 | + | 0.0483205i | ||||
\(236\) | −3.39435 | + | 24.5077i | −0.220953 | + | 1.59531i | ||||
\(237\) | −27.7611 | + | 10.8084i | −1.80328 | + | 0.702079i | ||||
\(238\) | −2.43391 | + | 12.0246i | −0.157767 | + | 0.779439i | ||||
\(239\) | 24.5350 | − | 8.93000i | 1.58704 | − | 0.577634i | 0.610317 | − | 0.792157i | \(-0.291042\pi\) |
0.976719 | + | 0.214524i | \(0.0688199\pi\) | |||||||
\(240\) | −0.486040 | + | 2.90505i | −0.0313737 | + | 0.187520i | ||||
\(241\) | −1.99069 | − | 11.2898i | −0.128232 | − | 0.727238i | −0.979336 | − | 0.202241i | \(-0.935178\pi\) |
0.851104 | − | 0.524997i | \(-0.175934\pi\) | |||||||
\(242\) | −0.716710 | − | 1.31687i | −0.0460718 | − | 0.0846518i | ||||
\(243\) | −12.9784 | − | 8.63481i | −0.832568 | − | 0.553923i | ||||
\(244\) | 15.5056 | − | 3.32826i | 0.992647 | − | 0.213070i | ||||
\(245\) | −0.0654184 | − | 0.0458064i | −0.00417943 | − | 0.00292647i | ||||
\(246\) | 19.3598 | − | 16.1472i | 1.23434 | − | 1.02950i | ||||
\(247\) | −1.02126 | − | 2.80588i | −0.0649809 | − | 0.178534i | ||||
\(248\) | −4.28074 | + | 4.38234i | −0.271827 | + | 0.278279i | ||||
\(249\) | −17.6863 | − | 7.77379i | −1.12082 | − | 0.492644i | ||||
\(250\) | 4.74921 | + | 3.50689i | 0.300367 | + | 0.221795i | ||||
\(251\) | −20.5352 | − | 5.50240i | −1.29617 | − | 0.347308i | −0.456171 | − | 0.889892i | \(-0.650779\pi\) |
−0.840002 | + | 0.542584i | \(0.817446\pi\) | |||||||
\(252\) | −15.8249 | − | 2.88728i | −0.996872 | − | 0.181882i | ||||
\(253\) | −21.8821 | + | 5.86328i | −1.37571 | + | 0.368621i | ||||
\(254\) | 1.23753 | − | 3.15088i | 0.0776493 | − | 0.197704i | ||||
\(255\) | −2.31461 | − | 0.565411i | −0.144947 | − | 0.0354074i | ||||
\(256\) | 9.95115 | + | 12.5290i | 0.621947 | + | 0.783059i | ||||
\(257\) | −1.35432 | + | 7.68074i | −0.0844803 | + | 0.479111i | 0.912987 | + | 0.407988i | \(0.133769\pi\) |
−0.997468 | + | 0.0711233i | \(0.977342\pi\) | |||||||
\(258\) | −13.7690 | − | 13.8510i | −0.857222 | − | 0.862324i | ||||
\(259\) | 7.50678 | + | 0.656758i | 0.466448 | + | 0.0408089i | ||||
\(260\) | −0.733326 | − | 1.43214i | −0.0454790 | − | 0.0888178i | ||||
\(261\) | −0.897305 | + | 4.06270i | −0.0555418 | + | 0.251475i | ||||
\(262\) | −7.17952 | − | 29.7736i | −0.443552 | − | 1.83942i | ||||
\(263\) | 1.33638 | − | 3.67167i | 0.0824047 | − | 0.226405i | −0.891647 | − | 0.452732i | \(-0.850450\pi\) |
0.974051 | + | 0.226327i | \(0.0726717\pi\) | |||||||
\(264\) | −13.1062 | + | 8.17208i | −0.806633 | + | 0.502957i | ||||
\(265\) | 0.0543500 | − | 0.0647718i | 0.00333870 | − | 0.00397890i | ||||
\(266\) | −0.371215 | − | 5.97129i | −0.0227606 | − | 0.366123i | ||||
\(267\) | −1.21501 | − | 1.38434i | −0.0743572 | − | 0.0847205i | ||||
\(268\) | 0.398096 | + | 0.979676i | 0.0243176 | + | 0.0598432i | ||||
\(269\) | −12.5446 | − | 12.5446i | −0.764860 | − | 0.764860i | 0.212337 | − | 0.977197i | \(-0.431893\pi\) |
−0.977197 | + | 0.212337i | \(0.931893\pi\) | |||||||
\(270\) | 0.682813 | − | 3.04857i | 0.0415547 | − | 0.185530i | ||||
\(271\) | −23.5761 | −1.43215 | −0.716074 | − | 0.698024i | \(-0.754063\pi\) | ||||
−0.716074 | + | 0.698024i | \(0.754063\pi\) | |||||||
\(272\) | −10.7012 | + | 7.28051i | −0.648855 | + | 0.441446i | ||||
\(273\) | 7.87948 | − | 3.88961i | 0.476888 | − | 0.235410i | ||||
\(274\) | −6.00920 | − | 5.30579i | −0.363029 | − | 0.320534i | ||||
\(275\) | 1.32424 | + | 15.1361i | 0.0798546 | + | 0.912742i | ||||
\(276\) | −7.85163 | − | 23.6204i | −0.472613 | − | 1.42178i | ||||
\(277\) | 18.3114 | − | 8.53876i | 1.10023 | − | 0.513044i | 0.214253 | − | 0.976778i | \(-0.431268\pi\) |
0.885975 | + | 0.463734i | \(0.153491\pi\) | |||||||
\(278\) | 1.59853 | − | 0.385464i | 0.0958734 | − | 0.0231186i | ||||
\(279\) | 4.78717 | − | 4.39361i | 0.286601 | − | 0.263039i | ||||
\(280\) | −0.597006 | − | 3.16807i | −0.0356779 | − | 0.189329i | ||||
\(281\) | 11.1237 | + | 13.2567i | 0.663583 | + | 0.790828i | 0.987895 | − | 0.155123i | \(-0.0495773\pi\) |
−0.324312 | + | 0.945950i | \(0.605133\pi\) | |||||||
\(282\) | −14.3050 | + | 8.20252i | −0.851852 | + | 0.488453i | ||||
\(283\) | −2.19645 | − | 3.13686i | −0.130566 | − | 0.186467i | 0.748546 | − | 0.663083i | \(-0.230752\pi\) |
−0.879112 | + | 0.476616i | \(0.841863\pi\) | |||||||
\(284\) | 16.0463 | − | 17.2767i | 0.952174 | − | 1.02519i | ||||
\(285\) | 1.16164 | − | 0.0258073i | 0.0688098 | − | 0.00152869i | ||||
\(286\) | 3.08438 | − | 7.85318i | 0.182383 | − | 0.464368i | ||||
\(287\) | −13.7963 | + | 23.8959i | −0.814370 | + | 1.41053i | ||||
\(288\) | −9.81428 | − | 13.8449i | −0.578312 | − | 0.815816i | ||||
\(289\) | 3.26496 | + | 5.65507i | 0.192056 | + | 0.332651i | ||||
\(290\) | −0.824550 | + | 0.124073i | −0.0484193 | + | 0.00728583i | ||||
\(291\) | −5.46689 | − | 4.38409i | −0.320475 | − | 0.257000i | ||||
\(292\) | 4.79158 | + | 15.5612i | 0.280406 | + | 0.910648i | ||||
\(293\) | −2.41826 | + | 5.18597i | −0.141276 | + | 0.302968i | −0.964196 | − | 0.265189i | \(-0.914566\pi\) |
0.822920 | + | 0.568157i | \(0.192343\pi\) | |||||||
\(294\) | 0.453377 | − | 0.0785562i | 0.0264415 | − | 0.00458149i | ||||
\(295\) | 5.17938 | − | 0.913264i | 0.301555 | − | 0.0531723i | ||||
\(296\) | 5.18108 | + | 6.02954i | 0.301144 | + | 0.350460i | ||||
\(297\) | 14.3533 | − | 7.89670i | 0.832865 | − | 0.458213i | ||||
\(298\) | −1.93215 | + | 6.54685i | −0.111926 | + | 0.379249i | ||||
\(299\) | 11.1381 | + | 7.79897i | 0.644132 | + | 0.451026i | ||||
\(300\) | −16.5159 | + | 2.43511i | −0.953543 | + | 0.140591i | ||||
\(301\) | 19.3736 | + | 9.03405i | 1.11667 | + | 0.520714i | ||||
\(302\) | 0.720492 | − | 3.55955i | 0.0414597 | − | 0.204829i | ||||
\(303\) | 2.59604 | + | 3.53761i | 0.149139 | + | 0.203230i | ||||
\(304\) | 4.12180 | − | 4.78008i | 0.236402 | − | 0.274157i | ||||
\(305\) | −1.68554 | − | 2.91944i | −0.0965137 | − | 0.167167i | ||||
\(306\) | 11.7546 | − | 7.09158i | 0.671967 | − | 0.405399i | ||||
\(307\) | −20.8401 | + | 5.58408i | −1.18941 | + | 0.318701i | −0.798651 | − | 0.601794i | \(-0.794453\pi\) |
−0.390755 | + | 0.920495i | \(0.627786\pi\) | |||||||
\(308\) | 10.3812 | − | 13.3422i | 0.591523 | − | 0.760245i | ||||
\(309\) | −23.5178 | − | 12.8902i | −1.33788 | − | 0.733296i | ||||
\(310\) | 1.16598 | + | 0.579883i | 0.0662235 | + | 0.0329352i | ||||
\(311\) | −13.7495 | − | 2.42441i | −0.779664 | − | 0.137476i | −0.230368 | − | 0.973104i | \(-0.573993\pi\) |
−0.549296 | + | 0.835628i | \(0.685104\pi\) | |||||||
\(312\) | 8.81387 | + | 2.87323i | 0.498987 | + | 0.162664i | ||||
\(313\) | −6.21504 | − | 7.40680i | −0.351295 | − | 0.418657i | 0.561242 | − | 0.827652i | \(-0.310324\pi\) |
−0.912537 | + | 0.408995i | \(0.865879\pi\) | |||||||
\(314\) | 8.42402 | − | 8.01012i | 0.475395 | − | 0.452037i | ||||
\(315\) | 0.449004 | + | 3.38978i | 0.0252985 | + | 0.190993i | ||||
\(316\) | 34.3560 | + | 1.73162i | 1.93268 | + | 0.0974111i | ||||
\(317\) | 11.3582 | + | 24.3577i | 0.637940 | + | 1.36807i | 0.913522 | + | 0.406790i | \(0.133352\pi\) |
−0.275582 | + | 0.961278i | \(0.588870\pi\) | |||||||
\(318\) | 0.0410193 | + | 0.485439i | 0.00230025 | + | 0.0272221i | ||||
\(319\) | −3.34950 | − | 2.81056i | −0.187536 | − | 0.157361i | ||||
\(320\) | 1.88491 | − | 2.83099i | 0.105370 | − | 0.158257i | ||||
\(321\) | 6.80765 | + | 4.54483i | 0.379966 | + | 0.253668i | ||||
\(322\) | 16.9810 | + | 21.3043i | 0.946316 | + | 1.18724i | ||||
\(323\) | 3.61037 | + | 3.61037i | 0.200886 | + | 0.200886i | ||||
\(324\) | 9.59319 | + | 15.2306i | 0.532955 | + | 0.846143i | ||||
\(325\) | 6.44847 | − | 6.44847i | 0.357697 | − | 0.357697i | ||||
\(326\) | 3.46433 | − | 30.6788i | 0.191872 | − | 1.69914i | ||||
\(327\) | 8.55283 | − | 12.8112i | 0.472972 | − | 0.708460i | ||||
\(328\) | −28.0276 | + | 7.86337i | −1.54756 | + | 0.434182i | ||||
\(329\) | 11.6013 | − | 13.8259i | 0.639603 | − | 0.762249i | ||||
\(330\) | 2.50878 | + | 2.11784i | 0.138104 | + | 0.116583i | ||||
\(331\) | −15.2425 | + | 7.10771i | −0.837806 | + | 0.390675i | −0.793669 | − | 0.608350i | \(-0.791832\pi\) |
−0.0441372 | + | 0.999025i | \(0.514054\pi\) | |||||||
\(332\) | 14.9601 | + | 16.5482i | 0.821043 | + | 0.908200i | ||||
\(333\) | −5.13838 | − | 6.68549i | −0.281581 | − | 0.366363i | ||||
\(334\) | 2.65705 | + | 0.0669179i | 0.145387 | + | 0.00366159i | ||||
\(335\) | 0.172195 | − | 0.144489i | 0.00940802 | − | 0.00789426i | ||||
\(336\) | 15.3082 | + | 10.5203i | 0.835130 | + | 0.573928i | ||||
\(337\) | −1.75177 | + | 9.93478i | −0.0954250 | + | 0.541182i | 0.899191 | + | 0.437556i | \(0.144156\pi\) |
−0.994616 | + | 0.103626i | \(0.966955\pi\) | |||||||
\(338\) | 12.6281 | − | 4.23936i | 0.686879 | − | 0.230591i | ||||
\(339\) | 4.54064 | − | 8.28426i | 0.246614 | − | 0.449939i | ||||
\(340\) | 2.17141 | + | 1.68951i | 0.117761 | + | 0.0916266i | ||||
\(341\) | 1.76737 | + | 6.59593i | 0.0957087 | + | 0.357190i | ||||
\(342\) | −4.64185 | + | 4.82405i | −0.251003 | + | 0.260855i | ||||
\(343\) | 15.8166 | − | 9.13174i | 0.854019 | − | 0.493068i | ||||
\(344\) | 7.96113 | + | 21.0998i | 0.429235 | + | 1.13762i | ||||
\(345\) | −4.26571 | + | 3.13035i | −0.229658 | + | 0.168532i | ||||
\(346\) | 11.0985 | + | 16.7316i | 0.596659 | + | 0.899498i | ||||
\(347\) | 11.5371 | − | 24.7415i | 0.619346 | − | 1.32819i | −0.307069 | − | 0.951687i | \(-0.599348\pi\) |
0.926415 | − | 0.376505i | \(-0.122874\pi\) | |||||||
\(348\) | 2.86528 | − | 3.85631i | 0.153595 | − | 0.206720i | ||||
\(349\) | −8.04138 | + | 11.4843i | −0.430445 | + | 0.614739i | −0.974521 | − | 0.224297i | \(-0.927991\pi\) |
0.544076 | + | 0.839036i | \(0.316880\pi\) | |||||||
\(350\) | 16.0493 | − | 8.73487i | 0.857873 | − | 0.466899i | ||||
\(351\) | −9.16839 | − | 3.55286i | −0.489373 | − | 0.189638i | ||||
\(352\) | 17.6702 | − | 2.41629i | 0.941826 | − | 0.128789i | ||||
\(353\) | 4.11926 | + | 23.3615i | 0.219246 | + | 1.24341i | 0.873384 | + | 0.487032i | \(0.161921\pi\) |
−0.654138 | + | 0.756375i | \(0.726968\pi\) | |||||||
\(354\) | −17.4542 | + | 24.7704i | −0.927680 | + | 1.31653i | ||||
\(355\) | −4.54255 | − | 2.11822i | −0.241093 | − | 0.112424i | ||||
\(356\) | 0.625901 | + | 2.03268i | 0.0331727 | + | 0.107732i | ||||
\(357\) | −9.40031 | + | 11.7220i | −0.497517 | + | 0.620396i | ||||
\(358\) | −11.2520 | − | 8.30863i | −0.594686 | − | 0.439125i | ||||
\(359\) | −1.07134 | + | 0.618537i | −0.0565430 | + | 0.0326451i | −0.528005 | − | 0.849241i | \(-0.677060\pi\) |
0.471462 | + | 0.881886i | \(0.343726\pi\) | |||||||
\(360\) | −2.16005 | + | 2.88921i | −0.113844 | + | 0.152275i | ||||
\(361\) | 14.2982 | + | 8.25505i | 0.752535 | + | 0.434476i | ||||
\(362\) | −8.86831 | − | 20.3401i | −0.466108 | − | 1.06905i | ||||
\(363\) | −0.0407839 | − | 1.83578i | −0.00214060 | − | 0.0963533i | ||||
\(364\) | −10.1397 | + | 0.374395i | −0.531465 | + | 0.0196236i | ||||
\(365\) | 2.83514 | − | 1.98519i | 0.148398 | − | 0.103909i | ||||
\(366\) | 18.7462 | + | 5.08269i | 0.979879 | + | 0.265677i | ||||
\(367\) | 29.1925 | − | 24.4954i | 1.52384 | − | 1.27865i | 0.695293 | − | 0.718726i | \(-0.255275\pi\) |
0.828544 | − | 0.559924i | \(-0.189170\pi\) | |||||||
\(368\) | −2.88996 | + | 28.5962i | −0.150649 | + | 1.49068i | ||||
\(369\) | 30.1384 | − | 6.70655i | 1.56894 | − | 0.349129i | ||||
\(370\) | 0.881512 | − | 1.44173i | 0.0458276 | − | 0.0749521i | ||||
\(371\) | −0.225347 | − | 0.483258i | −0.0116994 | − | 0.0250895i | ||||
\(372\) | −7.11991 | + | 2.36672i | −0.369150 | + | 0.122709i | ||||
\(373\) | 31.9396 | − | 2.79435i | 1.65377 | − | 0.144686i | 0.778278 | − | 0.627920i | \(-0.216093\pi\) |
0.875491 | + | 0.483234i | \(0.160538\pi\) | |||||||
\(374\) | 0.895158 | + | 14.3993i | 0.0462875 | + | 0.744572i | ||||
\(375\) | 3.20053 | + | 6.48356i | 0.165275 | + | 0.334810i | ||||
\(376\) | 18.9476 | − | 1.88185i | 0.977149 | − | 0.0970488i | ||||
\(377\) | 2.62439i | 0.135163i | ||||||||
\(378\) | −15.6040 | − | 12.0274i | −0.802584 | − | 0.618623i | ||||
\(379\) | 2.58508 | − | 2.58508i | 0.132787 | − | 0.132787i | −0.637590 | − | 0.770376i | \(-0.720068\pi\) |
0.770376 | + | 0.637590i | \(0.220068\pi\) | |||||||
\(380\) | −1.23607 | − | 0.521765i | −0.0634091 | − | 0.0267660i | ||||
\(381\) | 3.11604 | − | 2.73488i | 0.159640 | − | 0.140112i | ||||
\(382\) | −11.2941 | + | 12.7914i | −0.577856 | + | 0.654466i | ||||
\(383\) | −18.1352 | − | 15.2172i | −0.926664 | − | 0.777564i | 0.0485512 | − | 0.998821i | \(-0.484540\pi\) |
−0.975216 | + | 0.221257i | \(0.928984\pi\) | |||||||
\(384\) | 3.79742 | + | 19.2245i | 0.193786 | + | 0.981044i | ||||
\(385\) | −3.37678 | − | 1.22905i | −0.172097 | − | 0.0626381i | ||||
\(386\) | −30.2022 | − | 18.4664i | −1.53725 | − | 0.939915i | ||||
\(387\) | −7.21086 | − | 22.8069i | −0.366549 | − | 1.15934i | ||||
\(388\) | 3.68799 | + | 7.20243i | 0.187229 | + | 0.365648i | ||||
\(389\) | 0.886491 | − | 10.1326i | 0.0449469 | − | 0.513745i | −0.940034 | − | 0.341081i | \(-0.889207\pi\) |
0.984981 | − | 0.172664i | \(-0.0552375\pi\) | |||||||
\(390\) | 0.00584724 | − | 1.97058i | 0.000296086 | − | 0.0997840i | ||||
\(391\) | −22.8971 | − | 4.03738i | −1.15796 | − | 0.204179i | ||||
\(392\) | −0.514788 | − | 0.131487i | −0.0260007 | − | 0.00664108i | ||||
\(393\) | 8.90124 | − | 36.4388i | 0.449008 | − | 1.83810i | ||||
\(394\) | 11.8238 | + | 27.1186i | 0.595674 | + | 1.36622i | ||||
\(395\) | −1.89255 | − | 7.06311i | −0.0952247 | − | 0.355383i | ||||
\(396\) | −18.8540 | + | 1.53682i | −0.947449 | + | 0.0772282i | ||||
\(397\) | 6.26335 | − | 23.3752i | 0.314349 | − | 1.17317i | −0.610246 | − | 0.792212i | \(-0.708929\pi\) |
0.924594 | − | 0.380953i | \(-0.124404\pi\) | |||||||
\(398\) | 0.164239 | + | 1.09148i | 0.00823255 | + | 0.0547109i | ||||
\(399\) | 2.94844 | − | 6.70804i | 0.147607 | − | 0.335822i | ||||
\(400\) | 18.5514 | + | 5.23930i | 0.927569 | + | 0.261965i | ||||
\(401\) | −21.3819 | + | 7.78236i | −1.06776 | + | 0.388633i | −0.815338 | − | 0.578985i | \(-0.803449\pi\) |
−0.252421 | + | 0.967617i | \(0.581227\pi\) | |||||||
\(402\) | −0.116706 | + | 1.28986i | −0.00582077 | + | 0.0643325i | ||||
\(403\) | 2.35085 | − | 3.35736i | 0.117104 | − | 0.167242i | ||||
\(404\) | −1.06335 | − | 4.95393i | −0.0529038 | − | 0.246467i | ||||
\(405\) | 2.45481 | − | 2.93495i | 0.121980 | − | 0.145839i | ||||
\(406\) | −1.48841 | + | 5.04331i | −0.0738686 | + | 0.250295i | ||||
\(407\) | 8.72672 | − | 1.53876i | 0.432568 | − | 0.0762733i | ||||
\(408\) | −15.7356 | + | 1.91664i | −0.779027 | + | 0.0948880i | ||||
\(409\) | −3.80928 | − | 10.4659i | −0.188357 | − | 0.517506i | 0.809187 | − | 0.587551i | \(-0.199908\pi\) |
−0.997544 | + | 0.0700452i | \(0.977686\pi\) | |||||||
\(410\) | 3.42044 | + | 5.15650i | 0.168923 | + | 0.254661i | ||||
\(411\) | −3.56204 | − | 9.14903i | −0.175702 | − | 0.451289i | ||||
\(412\) | 18.6862 | + | 24.6944i | 0.920601 | + | 1.21661i | ||||
\(413\) | 8.58408 | − | 32.0362i | 0.422395 | − | 1.57640i | ||||
\(414\) | 4.71499 | − | 30.1185i | 0.231729 | − | 1.48024i | ||||
\(415\) | 2.37099 | − | 4.10667i | 0.116387 | − | 0.201589i | ||||
\(416\) | −7.92825 | − | 7.19230i | −0.388715 | − | 0.352632i | ||||
\(417\) | 1.95638 | + | 0.477902i | 0.0958043 | + | 0.0234030i | ||||
\(418\) | −2.23908 | − | 6.66971i | −0.109517 | − | 0.326226i | ||||
\(419\) | 25.6791 | − | 17.9807i | 1.25450 | − | 0.878413i | 0.258352 | − | 0.966051i | \(-0.416821\pi\) |
0.996152 | + | 0.0876375i | \(0.0279317\pi\) | |||||||
\(420\) | 1.12884 | − | 3.78357i | 0.0550819 | − | 0.184619i | ||||
\(421\) | 0.0883006 | − | 1.00928i | 0.00430351 | − | 0.0491893i | −0.993739 | − | 0.111724i | \(-0.964363\pi\) |
0.998043 | + | 0.0625345i | \(0.0199184\pi\) | |||||||
\(422\) | −11.3448 | + | 10.7874i | −0.552257 | + | 0.525123i | ||||
\(423\) | −20.1759 | + | 0.896906i | −0.980988 | + | 0.0436091i | ||||
\(424\) | 0.186186 | − | 0.530829i | 0.00904199 | − | 0.0257794i | ||||
\(425\) | −5.33344 | + | 14.6535i | −0.258710 | + | 0.710799i | ||||
\(426\) | 27.1659 | − | 9.79638i | 1.31619 | − | 0.474636i | ||||
\(427\) | −21.1780 | + | 1.85283i | −1.02487 | + | 0.0896649i | ||||
\(428\) | −5.02461 | − | 8.00538i | −0.242874 | − | 0.386955i | ||||
\(429\) | 7.76634 | − | 6.81634i | 0.374963 | − | 0.329096i | ||||
\(430\) | 3.74866 | − | 2.98795i | 0.180777 | − | 0.144092i | ||||
\(431\) | −14.8219 | −0.713944 | −0.356972 | − | 0.934115i | \(-0.616191\pi\) | ||||
−0.356972 | + | 0.934115i | \(0.616191\pi\) | |||||||
\(432\) | −2.90964 | − | 20.5799i | −0.139990 | − | 0.990153i | ||||
\(433\) | −34.0377 | −1.63575 | −0.817873 | − | 0.575399i | \(-0.804847\pi\) | ||||
−0.817873 | + | 0.575399i | \(0.804847\pi\) | |||||||
\(434\) | 6.42178 | − | 5.11861i | 0.308255 | − | 0.245701i | ||||
\(435\) | −0.967166 | − | 0.327882i | −0.0463721 | − | 0.0157207i | ||||
\(436\) | −15.0652 | + | 9.45571i | −0.721490 | + | 0.452847i | ||||
\(437\) | 11.2951 | − | 0.988193i | 0.540318 | − | 0.0472717i | ||||
\(438\) | −3.52106 | + | 19.6282i | −0.168243 | + | 0.937871i | ||||
\(439\) | −2.09122 | + | 5.74558i | −0.0998084 | + | 0.274221i | −0.979540 | − | 0.201249i | \(-0.935500\pi\) |
0.879732 | + | 0.475470i | \(0.157722\pi\) | |||||||
\(440\) | −1.64236 | − | 3.41686i | −0.0782966 | − | 0.162892i | ||||
\(441\) | 0.537596 | + | 0.169036i | 0.0255998 | + | 0.00804931i | ||||
\(442\) | 6.27525 | − | 5.96693i | 0.298483 | − | 0.283818i | ||||
\(443\) | −2.22226 | + | 25.4005i | −0.105583 | + | 1.20682i | 0.739864 | + | 0.672756i | \(0.234890\pi\) |
−0.845447 | + | 0.534059i | \(0.820666\pi\) | |||||||
\(444\) | 2.25430 | + | 9.47188i | 0.106984 | + | 0.449515i | ||||
\(445\) | 0.370341 | − | 0.259316i | 0.0175558 | − | 0.0122927i | ||||
\(446\) | 6.84821 | + | 20.3993i | 0.324272 | + | 0.965936i | ||||
\(447\) | −5.77874 | + | 6.04134i | −0.273325 | + | 0.285746i | ||||
\(448\) | −11.1567 | − | 18.3180i | −0.527106 | − | 0.865445i | ||||
\(449\) | −4.55436 | + | 7.88839i | −0.214934 | + | 0.372276i | −0.953252 | − | 0.302176i | \(-0.902287\pi\) |
0.738318 | + | 0.674452i | \(0.235620\pi\) | |||||||
\(450\) | −19.3443 | − | 6.62204i | −0.911901 | − | 0.312166i | ||||
\(451\) | −8.39807 | + | 31.3420i | −0.395450 | + | 1.47584i | ||||
\(452\) | −8.69876 | + | 6.58231i | −0.409155 | + | 0.309606i | ||||
\(453\) | 2.78270 | − | 3.46999i | 0.130743 | − | 0.163034i | ||||
\(454\) | 7.05943 | + | 10.6425i | 0.331316 | + | 0.499477i | ||||
\(455\) | 0.737685 | + | 2.02677i | 0.0345832 | + | 0.0950166i | ||||
\(456\) | 7.17022 | − | 2.88889i | 0.335776 | − | 0.135285i | ||||
\(457\) | −6.34591 | + | 1.11896i | −0.296849 | + | 0.0523425i | −0.320089 | − | 0.947387i | \(-0.603713\pi\) |
0.0232400 | + | 0.999730i | \(0.492602\pi\) | |||||||
\(458\) | 11.3894 | − | 38.5918i | 0.532193 | − | 1.80328i | ||||
\(459\) | 16.7761 | − | 1.11958i | 0.783043 | − | 0.0522574i | ||||
\(460\) | 5.97353 | − | 1.28221i | 0.278517 | − | 0.0597833i | ||||
\(461\) | −4.00969 | + | 5.72644i | −0.186750 | + | 0.266707i | −0.901600 | − | 0.432572i | \(-0.857606\pi\) |
0.714850 | + | 0.699278i | \(0.246495\pi\) | |||||||
\(462\) | 18.7905 | − | 8.69439i | 0.874215 | − | 0.404500i | ||||
\(463\) | −7.03798 | + | 2.56161i | −0.327083 | + | 0.119048i | −0.500342 | − | 0.865828i | \(-0.666792\pi\) |
0.173259 | + | 0.984876i | \(0.444570\pi\) | |||||||
\(464\) | −4.84114 | + | 2.70886i | −0.224744 | + | 0.125756i | ||||
\(465\) | 0.943584 | + | 1.28582i | 0.0437576 | + | 0.0596284i | ||||
\(466\) | −4.41885 | − | 29.3663i | −0.204699 | − | 1.36037i | ||||
\(467\) | 4.92118 | − | 18.3661i | 0.227725 | − | 0.849882i | −0.753569 | − | 0.657368i | \(-0.771670\pi\) |
0.981294 | − | 0.192513i | \(-0.0616638\pi\) | |||||||
\(468\) | 7.98059 | + | 8.07588i | 0.368903 | + | 0.373308i | ||||
\(469\) | −0.366889 | − | 1.36925i | −0.0169413 | − | 0.0632259i | ||||
\(470\) | −1.61764 | − | 3.71016i | −0.0746161 | − | 0.171137i | ||||
\(471\) | 13.6666 | − | 3.98931i | 0.629721 | − | 0.183818i | ||||
\(472\) | 30.0949 | − | 17.8491i | 1.38523 | − | 0.821572i | ||||
\(473\) | 24.7558 | + | 4.36511i | 1.13827 | + | 0.200708i | ||||
\(474\) | 36.4237 | + | 21.1736i | 1.67299 | + | 0.972534i | ||||
\(475\) | 0.662777 | − | 7.57558i | 0.0304103 | − | 0.347591i | ||||
\(476\) | 15.4434 | − | 7.90773i | 0.707845 | − | 0.362450i | ||||
\(477\) | −0.227895 | + | 0.551421i | −0.0104346 | + | 0.0252478i | ||||
\(478\) | −31.5026 | − | 19.2615i | −1.44090 | − | 0.881001i | ||||
\(479\) | 9.92703 | + | 3.61314i | 0.453578 | + | 0.165089i | 0.558699 | − | 0.829371i | \(-0.311301\pi\) |
−0.105121 | + | 0.994459i | \(0.533523\pi\) | |||||||
\(480\) | 3.64111 | − | 2.02322i | 0.166193 | − | 0.0923471i | ||||
\(481\) | −4.07432 | − | 3.41876i | −0.185773 | − | 0.155882i | ||||
\(482\) | −10.7305 | + | 12.1531i | −0.488763 | + | 0.553561i | ||||
\(483\) | 6.52249 | + | 32.7231i | 0.296784 | + | 1.48895i | ||||
\(484\) | −0.824559 | + | 1.95340i | −0.0374800 | + | 0.0887907i | ||||
\(485\) | 1.21626 | − | 1.21626i | 0.0552273 | − | 0.0552273i | ||||
\(486\) | 1.89099 | + | 21.9642i | 0.0857772 | + | 0.996314i | ||||
\(487\) | 32.3190i | 1.46451i | 0.681029 | + | 0.732256i | \(0.261533\pi\) | ||||
−0.681029 | + | 0.732256i | \(0.738467\pi\) | |||||||
\(488\) | −17.3485 | − | 14.2138i | −0.785331 | − | 0.643429i | ||||
\(489\) | 20.9951 | − | 31.4483i | 0.949430 | − | 1.42214i | ||||
\(490\) | 0.00700761 | + | 0.112723i | 0.000316571 | + | 0.00509231i | ||||
\(491\) | −13.9000 | + | 1.21609i | −0.627299 | + | 0.0548815i | −0.396373 | − | 0.918090i | \(-0.629731\pi\) |
−0.230926 | + | 0.972971i | \(0.574176\pi\) | |||||||
\(492\) | −34.9222 | − | 7.17657i | −1.57442 | − | 0.323545i | ||||
\(493\) | −1.89653 | − | 4.06712i | −0.0854153 | − | 0.183174i | ||||
\(494\) | −2.20279 | + | 3.60271i | −0.0991083 | + | 0.162094i | ||||
\(495\) | 1.54173 | + | 3.71375i | 0.0692956 | + | 0.166920i | ||||
\(496\) | 8.61977 | + | 0.871123i | 0.387039 | + | 0.0391146i | ||||
\(497\) | −24.2130 | + | 20.3171i | −1.08610 | + | 0.911348i | ||||
\(498\) | 6.99302 | + | 26.4115i | 0.313365 | + | 1.18353i | ||||
\(499\) | −16.8593 | + | 11.8050i | −0.754724 | + | 0.528463i | −0.886451 | − | 0.462823i | \(-0.846837\pi\) |
0.131727 | + | 0.991286i | \(0.457948\pi\) | |||||||
\(500\) | −0.308068 | − | 8.34336i | −0.0137772 | − | 0.373126i | ||||
\(501\) | 2.85457 | + | 1.56460i | 0.127533 | + | 0.0699012i | ||||
\(502\) | 12.0162 | + | 27.5600i | 0.536310 | + | 1.23006i | ||||
\(503\) | −31.3771 | − | 18.1156i | −1.39904 | − | 0.807735i | −0.404746 | − | 0.914429i | \(-0.632640\pi\) |
−0.994292 | + | 0.106694i | \(0.965973\pi\) | |||||||
\(504\) | 10.7562 | + | 20.0457i | 0.479119 | + | 0.892906i | ||||
\(505\) | −0.932739 | + | 0.538517i | −0.0415063 | + | 0.0239637i | ||||
\(506\) | 25.7727 | + | 19.0309i | 1.14573 | + | 0.846027i | ||||
\(507\) | 16.1256 | + | 2.47543i | 0.716163 | + | 0.109938i | ||||
\(508\) | −4.57539 | + | 1.40885i | −0.203000 | + | 0.0625077i | ||||
\(509\) | −1.70455 | − | 0.794843i | −0.0755527 | − | 0.0352308i | 0.384475 | − | 0.923136i | \(-0.374383\pi\) |
−0.460027 | + | 0.887905i | \(0.652160\pi\) | |||||||
\(510\) | 1.41499 | + | 3.05811i | 0.0626567 | + | 0.135415i | ||||
\(511\) | −3.79011 | − | 21.4948i | −0.167665 | − | 0.950873i | ||||
\(512\) | 5.08400 | − | 22.0489i | 0.224683 | − | 0.974432i | ||||
\(513\) | −7.76096 | + | 2.64478i | −0.342655 | + | 0.116770i | ||||
\(514\) | 9.68788 | − | 5.27264i | 0.427314 | − | 0.232566i | ||||
\(515\) | 3.77569 | − | 5.39224i | 0.166377 | − | 0.237611i | ||||
\(516\) | −3.18066 | + | 27.4364i | −0.140021 | + | 1.20782i | ||||
\(517\) | 8.96973 | − | 19.2357i | 0.394488 | − | 0.845983i | ||||
\(518\) | −5.89073 | − | 8.88061i | −0.258824 | − | 0.390192i | ||||
\(519\) | 2.68675 | + | 24.4431i | 0.117935 | + | 1.07293i | ||||
\(520\) | −0.937391 | + | 2.07338i | −0.0411073 | + | 0.0909238i | ||||
\(521\) | −27.9196 | + | 16.1194i | −1.22318 | + | 0.706203i | −0.965595 | − | 0.260052i | \(-0.916260\pi\) |
−0.257586 | + | 0.966255i | \(0.582927\pi\) | |||||||
\(522\) | 5.28387 | − | 2.58885i | 0.231269 | − | 0.113311i | ||||
\(523\) | 6.92879 | + | 25.8586i | 0.302975 | + | 1.13072i | 0.934674 | + | 0.355505i | \(0.115691\pi\) |
−0.631699 | + | 0.775213i | \(0.717642\pi\) | |||||||
\(524\) | −26.5979 | + | 34.1845i | −1.16193 | + | 1.49336i | ||||
\(525\) | 22.3735 | − | 0.497052i | 0.976458 | − | 0.0216931i | ||||
\(526\) | −5.23847 | + | 1.75859i | −0.228408 | + | 0.0766783i | ||||
\(527\) | −1.21699 | + | 6.90190i | −0.0530130 | + | 0.300652i | ||||
\(528\) | 20.5903 | + | 7.29063i | 0.896077 | + | 0.317284i | ||||
\(529\) | −21.9325 | + | 18.4035i | −0.953585 | + | 0.800153i | ||||
\(530\) | −0.119539 | − | 0.00301060i | −0.00519244 | − | 0.000130772i | ||||
\(531\) | −32.9055 | + | 17.1627i | −1.42798 | + | 0.744797i | ||||
\(532\) | −6.27640 | + | 5.67407i | −0.272116 | + | 0.246002i | ||||
\(533\) | 17.6506 | − | 8.23063i | 0.764534 | − | 0.356508i | ||||
\(534\) | −0.459939 | + | 2.56393i | −0.0199035 | + | 0.110952i | ||||
\(535\) | −1.29143 | + | 1.53907i | −0.0558334 | + | 0.0665397i | ||||
\(536\) | 0.732506 | − | 1.30381i | 0.0316394 | − | 0.0563161i | ||||
\(537\) | −7.58280 | − | 15.3611i | −0.327222 | − | 0.662878i | ||||
\(538\) | −2.81525 | + | 24.9308i | −0.121374 | + | 1.07484i | ||||
\(539\) | −0.418776 | + | 0.418776i | −0.0180380 | + | 0.0180380i | ||||
\(540\) | −3.97328 | + | 1.93212i | −0.170983 | + | 0.0831452i | ||||
\(541\) | 0.343239 | + | 0.343239i | 0.0147570 | + | 0.0147570i | 0.714447 | − | 0.699690i | \(-0.246678\pi\) |
−0.699690 | + | 0.714447i | \(0.746678\pi\) | |||||||
\(542\) | 20.7818 | + | 26.0727i | 0.892654 | + | 1.11992i | ||||
\(543\) | 1.76668 | − | 27.1188i | 0.0758153 | − | 1.16378i | ||||
\(544\) | 17.4843 | + | 5.41680i | 0.749633 | + | 0.232243i | ||||
\(545\) | 2.89634 | + | 2.43032i | 0.124066 | + | 0.104103i | ||||
\(546\) | −11.2471 | − | 5.28528i | −0.481330 | − | 0.226189i | ||||
\(547\) | 1.44106 | + | 3.09036i | 0.0616152 | + | 0.132134i | 0.934704 | − | 0.355427i | \(-0.115664\pi\) |
−0.873089 | + | 0.487561i | \(0.837887\pi\) | |||||||
\(548\) | −0.570677 | + | 11.3225i | −0.0243781 | + | 0.483672i | ||||
\(549\) | 17.5512 | + | 16.0572i | 0.749069 | + | 0.685305i | ||||
\(550\) | 15.5717 | − | 14.8066i | 0.663978 | − | 0.631355i | ||||
\(551\) | 1.40668 | + | 1.67641i | 0.0599265 | + | 0.0714176i | ||||
\(552\) | −19.2006 | + | 29.5038i | −0.817232 | + | 1.25577i | ||||
\(553\) | −45.4124 | − | 8.00744i | −1.93113 | − | 0.340511i | ||||
\(554\) | −25.5840 | − | 12.7238i | −1.08696 | − | 0.540582i | ||||
\(555\) | 1.76895 | − | 1.07438i | 0.0750877 | − | 0.0456050i | ||||
\(556\) | −1.83535 | − | 1.42803i | −0.0778360 | − | 0.0605618i | ||||
\(557\) | 41.9983 | − | 11.2534i | 1.77952 | − | 0.476822i | 0.789027 | − | 0.614358i | \(-0.210585\pi\) |
0.990497 | + | 0.137536i | \(0.0439183\pi\) | |||||||
\(558\) | −9.07864 | − | 1.42124i | −0.384330 | − | 0.0601661i | ||||
\(559\) | −7.54391 | − | 13.0664i | −0.319073 | − | 0.552651i | ||||
\(560\) | −2.97731 | + | 3.45280i | −0.125814 | + | 0.145908i | ||||
\(561\) | −7.10995 | + | 16.1760i | −0.300182 | + | 0.682950i | ||||
\(562\) | 4.85524 | − | 23.9870i | 0.204806 | − | 1.01183i | ||||
\(563\) | 28.1463 | + | 13.1248i | 1.18622 | + | 0.553145i | 0.912664 | − | 0.408710i | \(-0.134021\pi\) |
0.273559 | + | 0.961855i | \(0.411799\pi\) | |||||||
\(564\) | 21.6806 | + | 8.58954i | 0.912920 | + | 0.361685i | ||||
\(565\) | 1.89945 | + | 1.33001i | 0.0799104 | + | 0.0559538i | ||||
\(566\) | −1.53292 | + | 5.19411i | −0.0644333 | + | 0.218325i | ||||
\(567\) | −10.2320 | − | 21.8523i | −0.429705 | − | 0.917709i | ||||
\(568\) | −33.2507 | − | 2.51652i | −1.39517 | − | 0.105591i | ||||
\(569\) | 25.9185 | − | 4.57013i | 1.08656 | − | 0.191590i | 0.398445 | − | 0.917192i | \(-0.369550\pi\) |
0.688114 | + | 0.725602i | \(0.258439\pi\) | |||||||
\(570\) | −1.05250 | − | 1.26191i | −0.0440844 | − | 0.0528554i | ||||
\(571\) | 10.9780 | − | 23.5424i | 0.459414 | − | 0.985217i | −0.531036 | − | 0.847349i | \(-0.678197\pi\) |
0.990451 | − | 0.137868i | \(-0.0440250\pi\) | |||||||
\(572\) | −11.4036 | + | 3.51138i | −0.476808 | + | 0.146818i | ||||
\(573\) | −19.4750 | + | 7.58228i | −0.813578 | + | 0.316754i | ||||
\(574\) | 38.5874 | − | 5.80639i | 1.61061 | − | 0.242354i | ||||
\(575\) | 17.3143 | + | 29.9892i | 0.722056 | + | 1.25064i | ||||
\(576\) | −6.65990 | + | 23.0574i | −0.277496 | + | 0.960727i | ||||
\(577\) | 11.5307 | − | 19.9717i | 0.480029 | − | 0.831434i | −0.519709 | − | 0.854343i | \(-0.673960\pi\) |
0.999738 | + | 0.0229095i | \(0.00729297\pi\) | |||||||
\(578\) | 3.37593 | − | 8.59551i | 0.140420 | − | 0.357526i | ||||
\(579\) | −22.5068 | − | 37.0569i | −0.935349 | − | 1.54003i | ||||
\(580\) | 0.864033 | + | 0.802498i | 0.0358770 | + | 0.0333219i | ||||
\(581\) | −17.1523 | − | 24.4960i | −0.711596 | − | 1.01627i | ||||
\(582\) | −0.0294065 | + | 9.91027i | −0.00121894 | + | 0.410794i | ||||
\(583\) | −0.403053 | − | 0.480339i | −0.0166927 | − | 0.0198936i | ||||
\(584\) | 12.9853 | − | 19.0158i | 0.537337 | − | 0.786878i | ||||
\(585\) | 1.11272 | − | 2.14165i | 0.0460053 | − | 0.0885464i | ||||
\(586\) | 7.86677 | − | 1.89697i | 0.324973 | − | 0.0783630i | ||||
\(587\) | −13.9905 | + | 6.52390i | −0.577452 | + | 0.269270i | −0.689325 | − | 0.724452i | \(-0.742093\pi\) |
0.111873 | + | 0.993722i | \(0.464315\pi\) | |||||||
\(588\) | −0.486515 | − | 0.432141i | −0.0200636 | − | 0.0178212i | ||||
\(589\) | −0.297872 | − | 3.40469i | −0.0122736 | − | 0.140288i | ||||
\(590\) | −5.57547 | − | 4.92282i | −0.229538 | − | 0.202669i | ||||
\(591\) | −2.35544 | + | 36.1564i | −0.0968899 | + | 1.48728i | ||||
\(592\) | 2.10103 | − | 11.0446i | 0.0863520 | − | 0.453931i | ||||
\(593\) | −18.1274 | −0.744403 | −0.372201 | − | 0.928152i | \(-0.621397\pi\) | ||||
−0.372201 | + | 0.928152i | \(0.621397\pi\) | |||||||
\(594\) | −21.3850 | − | 8.91252i | −0.877438 | − | 0.365685i | ||||
\(595\) | −2.60788 | − | 2.60788i | −0.106913 | − | 0.106913i | ||||
\(596\) | 8.94326 | − | 3.63414i | 0.366330 | − | 0.148860i | ||||
\(597\) | −0.434025 | + | 1.28026i | −0.0177635 | + | 0.0523977i | ||||
\(598\) | −1.19311 | − | 19.1921i | −0.0487899 | − | 0.784825i | ||||
\(599\) | −3.76689 | + | 4.48921i | −0.153911 | + | 0.183424i | −0.837490 | − | 0.546452i | \(-0.815978\pi\) |
0.683579 | + | 0.729876i | \(0.260422\pi\) | |||||||
\(600\) | 17.2513 | + | 16.1183i | 0.704281 | + | 0.658027i | ||||
\(601\) | −16.7420 | + | 45.9983i | −0.682922 | + | 1.87631i | −0.287740 | + | 0.957708i | \(0.592904\pi\) |
−0.395181 | + | 0.918603i | \(0.629318\pi\) | |||||||
\(602\) | −7.08663 | − | 29.3884i | −0.288830 | − | 1.19778i | ||||
\(603\) | −0.851209 | + | 1.33847i | −0.0346639 | + | 0.0545066i | ||||
\(604\) | −4.57158 | + | 2.34087i | −0.186015 | + | 0.0952486i | ||||
\(605\) | 0.448992 | + | 0.0392817i | 0.0182541 | + | 0.00159703i | ||||
\(606\) | 1.62388 | − | 5.98926i | 0.0659656 | − | 0.243297i | ||||
\(607\) | −2.72656 | + | 15.4631i | −0.110668 | + | 0.627627i | 0.878137 | + | 0.478409i | \(0.158786\pi\) |
−0.988804 | + | 0.149217i | \(0.952325\pi\) | |||||||
\(608\) | −8.91953 | − | 0.344754i | −0.361735 | − | 0.0139816i | ||||
\(609\) | −4.45161 | + | 4.65390i | −0.180388 | + | 0.188585i | ||||
\(610\) | −1.74283 | + | 4.43744i | −0.0705651 | + | 0.179667i | ||||
\(611\) | −12.3049 | + | 3.29708i | −0.497801 | + | 0.133385i | ||||
\(612\) | −18.2039 | − | 6.74830i | −0.735851 | − | 0.272784i | ||||
\(613\) | −31.0436 | − | 8.31812i | −1.25384 | − | 0.335966i | −0.430022 | − | 0.902818i | \(-0.641494\pi\) |
−0.823819 | + | 0.566853i | \(0.808161\pi\) | |||||||
\(614\) | 24.5454 | + | 18.1247i | 0.990573 | + | 0.731453i | ||||
\(615\) | 0.828027 | + | 7.53311i | 0.0333893 | + | 0.303764i | ||||
\(616\) | −23.9059 | + | 0.280361i | −0.963195 | + | 0.0112961i | ||||
\(617\) | −16.6313 | − | 45.6941i | −0.669551 | − | 1.83958i | −0.527163 | − | 0.849764i | \(-0.676744\pi\) |
−0.142388 | − | 0.989811i | \(-0.545478\pi\) | |||||||
\(618\) | 6.47515 | + | 37.3705i | 0.260469 | + | 1.50326i | ||||
\(619\) | −35.5243 | − | 24.8743i | −1.42784 | − | 0.999784i | −0.995163 | − | 0.0982355i | \(-0.968680\pi\) |
−0.432677 | − | 0.901549i | \(-0.642431\pi\) | |||||||
\(620\) | −0.386497 | − | 1.80061i | −0.0155221 | − | 0.0723142i | ||||
\(621\) | 22.0418 | − | 30.1362i | 0.884507 | − | 1.20932i | ||||
\(622\) | 9.43872 | + | 17.3426i | 0.378458 | + | 0.695374i | ||||
\(623\) | −0.495084 | − | 2.80776i | −0.0198351 | − | 0.112491i | ||||
\(624\) | −4.59173 | − | 12.2799i | −0.183816 | − | 0.491589i | ||||
\(625\) | 20.9754 | − | 7.63442i | 0.839016 | − | 0.305377i | ||||
\(626\) | −2.71273 | + | 13.4021i | −0.108422 | + | 0.535655i | ||||
\(627\) | 1.30743 | − | 8.51695i | 0.0522138 | − | 0.340134i | ||||
\(628\) | −16.2839 | − | 2.25535i | −0.649799 | − | 0.0899981i | ||||
\(629\) | 8.78473 | + | 2.35386i | 0.350270 | + | 0.0938546i | ||||
\(630\) | 3.35296 | − | 3.48456i | 0.133585 | − | 0.138828i | ||||
\(631\) | −20.1652 | − | 11.6424i | −0.802765 | − | 0.463477i | 0.0416720 | − | 0.999131i | \(-0.486732\pi\) |
−0.844437 | + | 0.535655i | \(0.820065\pi\) | |||||||
\(632\) | −28.3690 | − | 39.5205i | −1.12846 | − | 1.57204i | ||||
\(633\) | −18.4051 | + | 5.37249i | −0.731535 | + | 0.213537i | ||||
\(634\) | 16.9251 | − | 34.0317i | 0.672182 | − | 1.35157i | ||||
\(635\) | 0.583697 | + | 0.833606i | 0.0231633 | + | 0.0330807i | ||||
\(636\) | 0.500687 | − | 0.473266i | 0.0198535 | − | 0.0187662i | ||||
\(637\) | 0.354114 | + | 0.0309809i | 0.0140305 | + | 0.00122751i | ||||
\(638\) | −0.155685 | + | 6.18163i | −0.00616363 | + | 0.244733i | ||||
\(639\) | 35.0696 | + | 4.58875i | 1.38733 | + | 0.181528i | ||||
\(640\) | −4.79228 | + | 0.410939i | −0.189432 | + | 0.0162438i | ||||
\(641\) | 25.7796 | + | 9.38301i | 1.01823 | + | 0.370607i | 0.796589 | − | 0.604521i | \(-0.206635\pi\) |
0.221644 | + | 0.975128i | \(0.428858\pi\) | |||||||
\(642\) | −0.974675 | − | 11.5347i | −0.0384674 | − | 0.455238i | ||||
\(643\) | 0.216309 | + | 2.47242i | 0.00853039 | + | 0.0975028i | 0.999266 | − | 0.0382999i | \(-0.0121942\pi\) |
−0.990736 | + | 0.135803i | \(0.956639\pi\) | |||||||
\(644\) | 8.59195 | − | 37.5584i | 0.338570 | − | 1.48001i | ||||
\(645\) | 5.75789 | − | 1.14769i | 0.226717 | − | 0.0451901i | ||||
\(646\) | 0.810234 | − | 7.17513i | 0.0318782 | − | 0.282302i | ||||
\(647\) | 37.7597i | 1.48449i | 0.670130 | + | 0.742244i | \(0.266238\pi\) | ||||
−0.670130 | + | 0.742244i | \(0.733762\pi\) | |||||||
\(648\) | 8.38725 | − | 24.0344i | 0.329482 | − | 0.944162i | ||||
\(649\) | − | 39.0021i | − | 1.53097i | ||||||
\(650\) | −12.8155 | − | 1.44716i | −0.502665 | − | 0.0567622i | ||||
\(651\) | 9.86375 | − | 1.96608i | 0.386591 | − | 0.0770568i | ||||
\(652\) | −36.9813 | + | 23.2114i | −1.44830 | + | 0.909030i | ||||
\(653\) | 0.0674962 | + | 0.771485i | 0.00264133 | + | 0.0301905i | 0.997401 | − | 0.0720505i | \(-0.0229543\pi\) |
−0.994760 | + | 0.102241i | \(0.967399\pi\) | |||||||
\(654\) | −21.7069 | + | 1.83422i | −0.848808 | + | 0.0717238i | ||||
\(655\) | 8.65174 | + | 3.14898i | 0.338052 | + | 0.123041i | ||||
\(656\) | 33.4016 | + | 24.0641i | 1.30412 | + | 0.939547i | ||||
\(657\) | −14.8526 | + | 19.3880i | −0.579455 | + | 0.756399i | ||||
\(658\) | −25.5163 | − | 0.642631i | −0.994730 | − | 0.0250524i | ||||
\(659\) | −11.8873 | − | 1.04000i | −0.463063 | − | 0.0405128i | −0.146763 | − | 0.989172i | \(-0.546885\pi\) |
−0.316301 | + | 0.948659i | \(0.602441\pi\) | |||||||
\(660\) | 0.130672 | − | 4.64127i | 0.00508642 | − | 0.180661i | ||||
\(661\) | −7.76188 | − | 11.0851i | −0.301902 | − | 0.431161i | 0.639324 | − | 0.768937i | \(-0.279214\pi\) |
−0.941226 | + | 0.337776i | \(0.890325\pi\) | |||||||
\(662\) | 21.2963 | + | 10.5914i | 0.827704 | + | 0.411645i | ||||
\(663\) | 10.1805 | − | 2.97173i | 0.395379 | − | 0.115412i | ||||
\(664\) | 5.11359 | − | 31.1311i | 0.198446 | − | 1.20812i | ||||
\(665\) | 1.55758 | + | 0.899267i | 0.0604002 | + | 0.0348721i | ||||
\(666\) | −2.86410 | + | 11.5756i | −0.110982 | + | 0.448545i | ||||
\(667\) | −9.62574 | − | 2.57921i | −0.372710 | − | 0.0998674i | ||||
\(668\) | −2.26812 | − | 2.99740i | −0.0877560 | − | 0.115973i | ||||
\(669\) | −3.99878 | + | 26.0491i | −0.154602 | + | 1.00712i | ||||
\(670\) | −0.311575 | − | 0.0630662i | −0.0120372 | − | 0.00243646i | ||||
\(671\) | −23.4918 | + | 8.55032i | −0.906892 | + | 0.330082i | ||||
\(672\) | −1.85948 | − | 26.2026i | −0.0717309 | − | 1.01079i | ||||
\(673\) | 1.06839 | + | 6.05914i | 0.0411834 | + | 0.233563i | 0.998451 | − | 0.0556416i | \(-0.0177204\pi\) |
−0.957267 | + | 0.289204i | \(0.906609\pi\) | |||||||
\(674\) | 12.5310 | − | 6.81999i | 0.482675 | − | 0.262696i | ||||
\(675\) | −17.3381 | − | 18.0686i | −0.667343 | − | 0.695460i | ||||
\(676\) | −15.8197 | − | 10.2285i | −0.608449 | − | 0.393403i | ||||
\(677\) | −13.1865 | − | 9.23332i | −0.506800 | − | 0.354865i | 0.292043 | − | 0.956405i | \(-0.405665\pi\) |
−0.798843 | + | 0.601540i | \(0.794554\pi\) | |||||||
\(678\) | −13.1640 | + | 2.28091i | −0.505559 | + | 0.0875978i | ||||
\(679\) | −3.70991 | − | 10.1929i | −0.142373 | − | 0.391167i | ||||
\(680\) | −0.0456280 | − | 3.89062i | −0.00174975 | − | 0.149198i | ||||
\(681\) | 1.70896 | + | 15.5476i | 0.0654877 | + | 0.595784i | ||||
\(682\) | 5.73650 | − | 7.76868i | 0.219662 | − | 0.297478i | ||||
\(683\) | 23.1045 | + | 6.19082i | 0.884068 | + | 0.236885i | 0.672161 | − | 0.740405i | \(-0.265366\pi\) |
0.211906 | + | 0.977290i | \(0.432033\pi\) | |||||||
\(684\) | 9.42657 | + | 0.881118i | 0.360434 | + | 0.0336904i | ||||
\(685\) | 2.32774 | − | 0.623715i | 0.0889382 | − | 0.0238309i | ||||
\(686\) | −24.0407 | − | 9.44213i | −0.917879 | − | 0.360502i | ||||
\(687\) | 34.0640 | − | 35.6119i | 1.29962 | − | 1.35868i | ||||
\(688\) | 16.3166 | − | 27.4031i | 0.622064 | − | 1.04473i | ||||
\(689\) | −0.0653531 | + | 0.370636i | −0.00248975 | + | 0.0141201i | ||||
\(690\) | 7.22195 | + | 1.95810i | 0.274935 | + | 0.0745437i | ||||
\(691\) | −16.6665 | − | 1.45813i | −0.634022 | − | 0.0554698i | −0.234386 | − | 0.972144i | \(-0.575308\pi\) |
−0.399636 | + | 0.916674i | \(0.630864\pi\) | |||||||
\(692\) | 8.72035 | − | 27.0223i | 0.331498 | − | 1.02723i | ||||
\(693\) | 25.3345 | + | 1.08603i | 0.962377 | + | 0.0412549i | ||||
\(694\) | −37.5312 | + | 9.05014i | −1.42466 | + | 0.343539i | ||||
\(695\) | −0.169067 | + | 0.464507i | −0.00641307 | + | 0.0176198i | ||||
\(696\) | −6.79034 | + | 0.230550i | −0.257387 | + | 0.00873899i | ||||
\(697\) | −21.4060 | + | 25.5107i | −0.810810 | + | 0.966286i | ||||
\(698\) | 19.7887 | − | 1.23019i | 0.749012 | − | 0.0465635i | ||||
\(699\) | 11.6775 | − | 34.4455i | 0.441682 | − | 1.30285i | ||||
\(700\) | −23.8069 | − | 10.0493i | −0.899818 | − | 0.379827i | ||||
\(701\) | 15.5429 | + | 15.5429i | 0.587046 | + | 0.587046i | 0.936830 | − | 0.349784i | \(-0.113745\pi\) |
−0.349784 | + | 0.936830i | \(0.613745\pi\) | |||||||
\(702\) | 4.15262 | + | 13.2710i | 0.156731 | + | 0.500883i | ||||
\(703\) | −4.43508 | −0.167272 | ||||||||
\(704\) | −18.2480 | − | 17.4115i | −0.687748 | − | 0.656221i | ||||
\(705\) | 0.322253 | − | 4.94664i | 0.0121368 | − | 0.186301i | ||||
\(706\) | 22.2043 | − | 25.1481i | 0.835671 | − | 0.946460i | ||||
\(707\) | 0.591966 | + | 6.76620i | 0.0222632 | + | 0.254469i | ||||
\(708\) | 42.7789 | − | 2.53201i | 1.60773 | − | 0.0951589i | ||||
\(709\) | −17.7534 | + | 8.27855i | −0.666743 | + | 0.310907i | −0.726360 | − | 0.687314i | \(-0.758790\pi\) |
0.0596176 | + | 0.998221i | \(0.481012\pi\) | |||||||
\(710\) | 1.66161 | + | 6.89074i | 0.0623591 | + | 0.258605i | ||||
\(711\) | 27.7588 | + | 43.4966i | 1.04104 | + | 1.63125i | ||||
\(712\) | 1.69621 | − | 2.48394i | 0.0635682 | − | 0.0930895i | ||||
\(713\) | 10.0038 | + | 11.9220i | 0.374644 | + | 0.446484i | ||||
\(714\) | 21.2495 | + | 0.0630530i | 0.795242 | + | 0.00235970i | ||||
\(715\) | 1.45479 | + | 2.07766i | 0.0544061 | + | 0.0777000i | ||||
\(716\) | 0.729884 | + | 19.7674i | 0.0272770 | + | 0.738741i | ||||
\(717\) | −23.4758 | − | 38.6525i | −0.876722 | − | 1.44350i | ||||
\(718\) | 1.62839 | + | 0.639561i | 0.0607711 | + | 0.0238682i | ||||
\(719\) | −0.288995 | + | 0.500555i | −0.0107777 | + | 0.0186675i | −0.871364 | − | 0.490637i | \(-0.836764\pi\) |
0.860586 | + | 0.509305i | \(0.170097\pi\) | |||||||
\(720\) | 5.09919 | − | 0.157985i | 0.190036 | − | 0.00588774i | ||||
\(721\) | −20.7561 | − | 35.9506i | −0.772998 | − | 1.33887i | ||||
\(722\) | −3.47427 | − | 23.0889i | −0.129299 | − | 0.859279i | ||||
\(723\) | −18.5032 | + | 7.20394i | −0.688142 | + | 0.267917i | ||||
\(724\) | −14.6768 | + | 27.7367i | −0.545458 | + | 1.03083i | ||||
\(725\) | −2.82465 | + | 6.05748i | −0.104905 | + | 0.224969i | ||||
\(726\) | −1.99422 | + | 1.66329i | −0.0740126 | + | 0.0617306i | ||||
\(727\) | 40.4528 | − | 7.13291i | 1.50031 | − | 0.264545i | 0.637649 | − | 0.770327i | \(-0.279907\pi\) |
0.862661 | + | 0.505782i | \(0.168796\pi\) | |||||||
\(728\) | 9.35194 | + | 10.8834i | 0.346606 | + | 0.403366i | ||||
\(729\) | −10.2732 | + | 24.9692i | −0.380488 | + | 0.924786i | ||||
\(730\) | −4.69452 | − | 1.38547i | −0.173752 | − | 0.0512787i | ||||
\(731\) | 21.1336 | + | 14.7979i | 0.781656 | + | 0.547322i | ||||
\(732\) | −10.9034 | − | 25.2116i | −0.403000 | − | 0.931846i | ||||
\(733\) | 47.1639 | + | 21.9929i | 1.74204 | + | 0.812326i | 0.987800 | + | 0.155726i | \(0.0497717\pi\) |
0.754239 | + | 0.656600i | \(0.228006\pi\) | |||||||
\(734\) | −52.8218 | − | 10.6917i | −1.94969 | − | 0.394638i | ||||
\(735\) | −0.0556592 | + | 0.126631i | −0.00205302 | + | 0.00467086i | ||||
\(736\) | 34.1718 | − | 22.0108i | 1.25959 | − | 0.811330i | ||||
\(737\) | −0.833486 | − | 1.44364i | −0.0307019 | − | 0.0531772i | ||||
\(738\) | −33.9829 | − | 27.4182i | −1.25093 | − | 1.00928i | ||||
\(739\) | −6.50364 | + | 1.74265i | −0.239240 | + | 0.0641043i | −0.376447 | − | 0.926438i | \(-0.622854\pi\) |
0.137207 | + | 0.990542i | \(0.456188\pi\) | |||||||
\(740\) | −2.37143 | + | 0.295992i | −0.0871756 | + | 0.0108809i | ||||
\(741\) | −4.42039 | + | 2.68475i | −0.162387 | + | 0.0986268i | ||||
\(742\) | −0.335795 | + | 0.675190i | −0.0123274 | + | 0.0247870i | ||||
\(743\) | 31.3379 | + | 5.52572i | 1.14968 | + | 0.202719i | 0.715835 | − | 0.698270i | \(-0.246046\pi\) |
0.433842 | + | 0.900989i | \(0.357158\pi\) | |||||||
\(744\) | 8.89337 | + | 5.78765i | 0.326047 | + | 0.212186i | ||||
\(745\) | −1.31901 | − | 1.57193i | −0.0483248 | − | 0.0575912i | ||||
\(746\) | −31.2442 | − | 32.8587i | −1.14393 | − | 1.20304i | ||||
\(747\) | −7.21664 | + | 32.6746i | −0.264043 | + | 1.19550i | ||||
\(748\) | 15.1351 | − | 13.6826i | 0.553393 | − | 0.500286i | ||||
\(749\) | 5.35455 | + | 11.4829i | 0.195651 | + | 0.419575i | ||||
\(750\) | 4.34894 | − | 9.25454i | 0.158801 | − | 0.337928i | ||||
\(751\) | −40.8999 | − | 34.3191i | −1.49246 | − | 1.25232i | −0.891482 | − | 0.453056i | \(-0.850334\pi\) |
−0.600978 | − | 0.799266i | \(-0.705222\pi\) | |||||||
\(752\) | −18.7830 | − | 19.2953i | −0.684945 | − | 0.703626i | ||||
\(753\) | −2.39378 | + | 36.7449i | −0.0872341 | + | 1.33906i | ||||
\(754\) | 2.90229 | − | 2.31333i | 0.105695 | − | 0.0842465i | ||||
\(755\) | 0.771992 | + | 0.771992i | 0.0280956 | + | 0.0280956i | ||||
\(756\) | 0.453516 | + | 27.8582i | 0.0164942 | + | 1.01319i | ||||
\(757\) | −34.7995 | + | 34.7995i | −1.26481 | + | 1.26481i | −0.316075 | + | 0.948734i | \(0.602365\pi\) |
−0.948734 | + | 0.316075i | \(0.897635\pi\) | |||||||
\(758\) | −5.13751 | − | 0.580141i | −0.186603 | − | 0.0210717i | ||||
\(759\) | 17.3684 | + | 35.1845i | 0.630432 | + | 1.27712i | ||||
\(760\) | 0.512548 | + | 1.82689i | 0.0185921 | + | 0.0662681i | ||||
\(761\) | −0.00975922 | + | 0.0116306i | −0.000353771 | + | 0.000421608i | −0.766221 | − | 0.642577i | \(-0.777865\pi\) |
0.765868 | + | 0.642998i | \(0.222310\pi\) | |||||||
\(762\) | −5.77120 | − | 1.03528i | −0.209069 | − | 0.0375044i | ||||
\(763\) | 21.6094 | − | 10.0766i | 0.782313 | − | 0.364798i | ||||
\(764\) | 24.1014 | + | 1.21476i | 0.871959 | + | 0.0439486i | ||||
\(765\) | −0.176749 | + | 4.12312i | −0.00639036 | + | 0.149072i | ||||
\(766\) | −0.842924 | + | 33.4692i | −0.0304561 | + | 1.20929i | ||||
\(767\) | −17.9326 | + | 15.0473i | −0.647509 | + | 0.543325i | ||||
\(768\) | 17.9129 | − | 21.1454i | 0.646375 | − | 0.763020i | ||||
\(769\) | −0.173572 | + | 0.984374i | −0.00625916 | + | 0.0354974i | −0.987777 | − | 0.155871i | \(-0.950182\pi\) |
0.981518 | + | 0.191369i | \(0.0612926\pi\) | |||||||
\(770\) | 1.61735 | + | 4.81774i | 0.0582854 | + | 0.173619i | ||||
\(771\) | 13.5053 | − | 0.300036i | 0.486382 | − | 0.0108055i | ||||
\(772\) | 6.20060 | + | 49.6781i | 0.223164 | + | 1.78795i | ||||
\(773\) | 2.01533 | + | 7.52131i | 0.0724864 | + | 0.270523i | 0.992652 | − | 0.121007i | \(-0.0386125\pi\) |
−0.920165 | + | 0.391530i | \(0.871946\pi\) | |||||||
\(774\) | −18.8659 | + | 28.0782i | −0.678120 | + | 1.00925i | ||||
\(775\) | 9.03968 | − | 5.21906i | 0.324715 | − | 0.187474i | ||||
\(776\) | 4.71425 | − | 10.4273i | 0.169232 | − | 0.374318i | ||||
\(777\) | −1.42604 | − | 12.9736i | −0.0511590 | − | 0.465427i | ||||
\(778\) | −11.9870 | + | 7.95131i | −0.429756 | + | 0.285068i | ||||
\(779\) | 6.86330 | − | 14.7184i | 0.245903 | − | 0.527341i | ||||
\(780\) | −2.18440 | + | 1.73055i | −0.0782142 | + | 0.0619636i | ||||
\(781\) | −21.3195 | + | 30.4474i | −0.762871 | + | 1.08949i | ||||
\(782\) | 15.7183 | + | 28.8806i | 0.562086 | + | 1.03277i | ||||
\(783\) | 7.20486 | + | 0.148650i | 0.257481 | + | 0.00531231i | ||||
\(784\) | 0.308363 | + | 0.685203i | 0.0110130 | + | 0.0244715i | ||||
\(785\) | 0.606810 | + | 3.44139i | 0.0216580 | + | 0.122829i | ||||
\(786\) | −48.1437 | + | 22.2761i | −1.71723 | + | 0.794562i | ||||
\(787\) | 41.4499 | + | 19.3284i | 1.47753 | + | 0.688983i | 0.983574 | − | 0.180504i | \(-0.0577728\pi\) |
0.493955 | + | 0.869487i | \(0.335551\pi\) | |||||||
\(788\) | 19.5680 | − | 36.9803i | 0.697080 | − | 1.31737i | ||||
\(789\) | −6.68930 | − | 1.02687i | −0.238146 | − | 0.0365576i | ||||
\(790\) | −6.14281 | + | 8.31892i | −0.218551 | + | 0.295974i | ||||
\(791\) | 12.6638 | − | 7.31146i | 0.450274 | − | 0.259966i | ||||
\(792\) | 18.3189 | + | 19.4958i | 0.650933 | + | 0.692755i | ||||
\(793\) | 12.9946 | + | 7.50244i | 0.461452 | + | 0.266419i | ||||
\(794\) | −31.3714 | + | 13.6780i | −1.11333 | + | 0.485414i | ||||
\(795\) | −0.128426 | − | 0.0703905i | −0.00455479 | − | 0.00249650i | ||||
\(796\) | 1.06229 | − | 1.14374i | 0.0376518 | − | 0.0405389i | ||||
\(797\) | −19.1720 | + | 13.4244i | −0.679106 | + | 0.475515i | −0.861531 | − | 0.507705i | \(-0.830494\pi\) |
0.182425 | + | 0.983220i | \(0.441605\pi\) | |||||||
\(798\) | −10.0174 | + | 2.65231i | −0.354611 | + | 0.0938908i | ||||
\(799\) | 16.6867 | − | 14.0018i | 0.590333 | − | 0.495348i | ||||
\(800\) | −10.5585 | − | 25.1342i | −0.373299 | − | 0.888627i | ||||
\(801\) | −1.94012 | + | 2.53257i | −0.0685508 | + | 0.0894838i | ||||
\(802\) | 27.4541 | + | 16.7861i | 0.969436 | + | 0.592738i | ||||
\(803\) | −10.8473 | − | 23.2620i | −0.382792 | − | 0.820900i | ||||
\(804\) | 1.52933 | − | 1.00792i | 0.0539352 | − | 0.0355465i | ||||
\(805\) | −8.15880 | + | 0.713802i | −0.287560 | + | 0.0251582i | ||||
\(806\) | −5.78510 | + | 0.359640i | −0.203772 | + | 0.0126678i | ||||
\(807\) | −17.0614 | + | 25.5561i | −0.600590 | + | 0.899618i | ||||
\(808\) | −4.54120 | + | 5.54272i | −0.159759 | + | 0.194992i | ||||
\(809\) | − | 3.08144i | − | 0.108338i | −0.998532 | − | 0.0541688i | \(-0.982749\pi\) | ||
0.998532 | − | 0.0541688i | \(-0.0172509\pi\) | |||||||
\(810\) | −5.40959 | − | 0.127670i | −0.190074 | − | 0.00448586i | ||||
\(811\) | 26.1043 | − | 26.1043i | 0.916645 | − | 0.916645i | −0.0801386 | − | 0.996784i | \(-0.525536\pi\) |
0.996784 | + | 0.0801386i | \(0.0255363\pi\) | |||||||
\(812\) | 6.88937 | − | 2.79953i | 0.241769 | − | 0.0982442i | ||||
\(813\) | 7.98238 | + | 40.0473i | 0.279954 | + | 1.40452i | ||||
\(814\) | −9.39409 | − | 8.29445i | −0.329263 | − | 0.290720i | ||||
\(815\) | 7.10980 | + | 5.96583i | 0.249045 | + | 0.208974i | ||||
\(816\) | 15.9901 | + | 15.7124i | 0.559766 | + | 0.550044i | ||||
\(817\) | −11.8226 | − | 4.30306i | −0.413619 | − | 0.150545i | ||||
\(818\) | −8.21640 | + | 13.4381i | −0.287280 | + | 0.469852i | ||||
\(819\) | −9.27486 | − | 12.0674i | −0.324090 | − | 0.421670i | ||||
\(820\) | 2.68751 | − | 8.32797i | 0.0938521 | − | 0.290825i | ||||
\(821\) | 3.13676 | − | 35.8534i | 0.109474 | − | 1.25129i | −0.720487 | − | 0.693469i | \(-0.756081\pi\) |
0.829960 | − | 0.557822i | \(-0.188363\pi\) | |||||||
\(822\) | −6.97802 | + | 12.0039i | −0.243386 | + | 0.418683i | ||||
\(823\) | 36.9544 | + | 6.51607i | 1.28815 | + | 0.227136i | 0.775438 | − | 0.631424i | \(-0.217529\pi\) |
0.512713 | + | 0.858560i | \(0.328640\pi\) | |||||||
\(824\) | 10.8380 | − | 42.4325i | 0.377561 | − | 1.47820i | ||||
\(825\) | 25.2624 | − | 7.37417i | 0.879524 | − | 0.256736i | ||||
\(826\) | −42.9953 | + | 18.7461i | −1.49600 | + | 0.652259i | ||||
\(827\) | −0.184846 | − | 0.689855i | −0.00642773 | − | 0.0239886i | 0.962637 | − | 0.270793i | \(-0.0872860\pi\) |
−0.969065 | + | 0.246805i | \(0.920619\pi\) | |||||||
\(828\) | −37.4640 | + | 21.3344i | −1.30196 | + | 0.741422i | ||||
\(829\) | −0.272786 | + | 1.01805i | −0.00947425 | + | 0.0353584i | −0.970501 | − | 0.241096i | \(-0.922493\pi\) |
0.961027 | + | 0.276455i | \(0.0891596\pi\) | |||||||
\(830\) | −6.63151 | + | 0.997867i | −0.230183 | + | 0.0346365i | ||||
\(831\) | −20.7041 | − | 28.2134i | −0.718218 | − | 0.978712i | ||||
\(832\) | −0.965361 | + | 15.1076i | −0.0334679 | + | 0.523763i | ||||
\(833\) | −0.571173 | + | 0.207890i | −0.0197900 | + | 0.00720296i | ||||
\(834\) | −1.19599 | − | 2.58481i | −0.0414138 | − | 0.0895046i | ||||
\(835\) | −0.458291 | + | 0.654507i | −0.0158598 | + | 0.0226502i | ||||
\(836\) | −5.40231 | + | 8.35537i | −0.186843 | + | 0.288976i | ||||
\(837\) | −9.08398 | − | 6.64408i | −0.313988 | − | 0.229653i | ||||
\(838\) | −42.5202 | − | 12.5488i | −1.46884 | − | 0.433491i | ||||
\(839\) | 9.50457 | − | 1.67591i | 0.328134 | − | 0.0578589i | −0.00715425 | − | 0.999974i | \(-0.502277\pi\) |
0.335289 | + | 0.942115i | \(0.391166\pi\) | |||||||
\(840\) | −5.17927 | + | 2.08674i | −0.178702 | + | 0.0719993i | ||||
\(841\) | 9.26074 | + | 25.4437i | 0.319336 | + | 0.877368i | ||||
\(842\) | −1.19399 | + | 0.792004i | −0.0411477 | + | 0.0272943i | ||||
\(843\) | 18.7520 | − | 23.3835i | 0.645855 | − | 0.805371i | ||||
\(844\) | 21.9299 | + | 3.03733i | 0.754858 | + | 0.104549i | ||||
\(845\) | −1.03642 | + | 3.86798i | −0.0356541 | + | 0.133063i | ||||
\(846\) | 18.7765 | + | 21.5219i | 0.645548 | + | 0.739936i | ||||
\(847\) | 1.42114 | − | 2.46148i | 0.0488308 | − | 0.0845775i | ||||
\(848\) | −0.751159 | + | 0.262011i | −0.0257949 | + | 0.00899749i | ||||
\(849\) | −4.58471 | + | 4.79305i | −0.157347 | + | 0.164497i | ||||
\(850\) | 20.9065 | − | 7.01848i | 0.717087 | − | 0.240732i | ||||
\(851\) | 16.5435 | − | 11.5839i | 0.567105 | − | 0.397092i | ||||
\(852\) | −34.7798 | − | 21.4073i | −1.19154 | − | 0.733403i | ||||
\(853\) | 3.65317 | − | 41.7559i | 0.125082 | − | 1.42969i | −0.631287 | − | 0.775549i | \(-0.717473\pi\) |
0.756369 | − | 0.654145i | \(-0.226972\pi\) | |||||||
\(854\) | 20.7169 | + | 21.7874i | 0.708918 | + | 0.745549i | ||||
\(855\) | −0.437145 | − | 1.96447i | −0.0149500 | − | 0.0671835i | ||||
\(856\) | −4.42403 | + | 12.6132i | −0.151210 | + | 0.431111i | ||||
\(857\) | −12.7895 | + | 35.1390i | −0.436882 | + | 1.20032i | 0.504627 | + | 0.863337i | \(0.331630\pi\) |
−0.941509 | + | 0.336987i | \(0.890592\pi\) | |||||||
\(858\) | −14.3840 | − | 2.58032i | −0.491061 | − | 0.0880906i | ||||
\(859\) | 14.8501 | − | 1.29922i | 0.506679 | − | 0.0443287i | 0.169049 | − | 0.985608i | \(-0.445930\pi\) |
0.337630 | + | 0.941279i | \(0.390375\pi\) | |||||||
\(860\) | −6.60871 | − | 1.51182i | −0.225355 | − | 0.0515527i | ||||
\(861\) | 45.2616 | + | 15.3442i | 1.54251 | + | 0.522931i | ||||
\(862\) | 13.0651 | + | 16.3914i | 0.444999 | + | 0.558294i | ||||
\(863\) | 39.1874 | 1.33395 | 0.666977 | − | 0.745079i | \(-0.267588\pi\) | ||||
0.666977 | + | 0.745079i | \(0.267588\pi\) | |||||||
\(864\) | −20.1945 | + | 21.3585i | −0.687029 | + | 0.726630i | ||||
\(865\) | −6.03577 | −0.205222 | ||||||||
\(866\) | 30.0034 | + | 37.6421i | 1.01956 | + | 1.27913i | ||||
\(867\) | 8.50047 | − | 7.46066i | 0.288691 | − | 0.253377i | ||||
\(868\) | −11.3213 | − | 2.58988i | −0.384269 | − | 0.0879062i | ||||
\(869\) | −54.0204 | + | 4.72618i | −1.83252 | + | 0.160325i | ||||
\(870\) | 0.489930 | + | 1.35860i | 0.0166102 | + | 0.0460609i | ||||
\(871\) | −0.342201 | + | 0.940190i | −0.0115951 | + | 0.0318571i | ||||
\(872\) | 23.7366 | + | 8.32550i | 0.803822 | + | 0.281937i | ||||
\(873\) | −5.59600 | + | 10.7706i | −0.189396 | + | 0.364530i | ||||
\(874\) | −11.0492 | − | 11.6201i | −0.373744 | − | 0.393056i | ||||
\(875\) | −0.975444 | + | 11.1494i | −0.0329760 | + | 0.376918i | ||||
\(876\) | 24.8104 | − | 13.4078i | 0.838266 | − | 0.453009i | ||||
\(877\) | 27.7750 | − | 19.4482i | 0.937894 | − | 0.656721i | −0.00133938 | − | 0.999999i | \(-0.500426\pi\) |
0.939234 | + | 0.343278i | \(0.111537\pi\) | |||||||
\(878\) | 8.19736 | − | 2.75192i | 0.276647 | − | 0.0928727i | ||||
\(879\) | 9.62785 | + | 2.35188i | 0.324739 | + | 0.0793269i | ||||
\(880\) | −2.33099 | + | 4.82816i | −0.0785775 | + | 0.162757i | ||||
\(881\) | 24.4176 | − | 42.2926i | 0.822651 | − | 1.42487i | −0.0810512 | − | 0.996710i | \(-0.525828\pi\) |
0.903702 | − | 0.428163i | \(-0.140839\pi\) | |||||||
\(882\) | −0.286942 | − | 0.743525i | −0.00966185 | − | 0.0250358i | ||||
\(883\) | −14.9008 | + | 55.6105i | −0.501452 | + | 1.87144i | −0.0110632 | + | 0.999939i | \(0.503522\pi\) |
−0.490388 | + | 0.871504i | \(0.663145\pi\) | |||||||
\(884\) | −12.1303 | − | 1.68006i | −0.407985 | − | 0.0565066i | ||||
\(885\) | −3.30493 | − | 8.48867i | −0.111094 | − | 0.285343i | ||||
\(886\) | 30.0492 | − | 19.9324i | 1.00952 | − | 0.669640i | ||||
\(887\) | 5.03988 | + | 13.8470i | 0.169223 | + | 0.464935i | 0.995095 | − | 0.0989215i | \(-0.0315393\pi\) |
−0.825873 | + | 0.563857i | \(0.809317\pi\) | |||||||
\(888\) | 8.48778 | − | 10.8422i | 0.284831 | − | 0.363842i | ||||
\(889\) | 6.32003 | − | 1.11439i | 0.211967 | − | 0.0373755i | ||||
\(890\) | −0.613222 | − | 0.180978i | −0.0205552 | − | 0.00606638i | ||||
\(891\) | −18.2734 | − | 21.7074i | −0.612180 | − | 0.727226i | ||||
\(892\) | 16.5230 | − | 25.5549i | 0.553229 | − | 0.855641i | ||||
\(893\) | −6.09290 | + | 8.70156i | −0.203891 | + | 0.291187i | ||||
\(894\) | 11.7749 | + | 1.06539i | 0.393812 | + | 0.0356319i | ||||
\(895\) | 3.95119 | − | 1.43812i | 0.132074 | − | 0.0480710i | ||||
\(896\) | −10.4234 | + | 28.4850i | −0.348221 | + | 0.951618i | ||||
\(897\) | 9.47649 | − | 21.5601i | 0.316411 | − | 0.719871i | ||||
\(898\) | 12.7383 | − | 1.91678i | 0.425082 | − | 0.0639636i | ||||
\(899\) | −0.777454 | + | 2.90150i | −0.0259295 | + | 0.0967703i | ||||
\(900\) | 9.72828 | + | 27.2299i | 0.324276 | + | 0.907665i | ||||
\(901\) | −0.166562 | − | 0.621617i | −0.00554898 | − | 0.0207091i | ||||
\(902\) | 42.0636 | − | 18.3398i | 1.40057 | − | 0.610650i | ||||
\(903\) | 8.78608 | − | 35.9674i | 0.292382 | − | 1.19692i | ||||
\(904\) | 14.9471 | + | 3.81777i | 0.497132 | + | 0.126977i | ||||
\(905\) | 6.56914 | + | 1.15832i | 0.218366 | + | 0.0385037i | ||||
\(906\) | −6.29033 | − | 0.0186651i | −0.208982 | − | 0.000620107i | ||||
\(907\) | −3.93379 | + | 44.9635i | −0.130619 | + | 1.49299i | 0.594350 | + | 0.804206i | \(0.297409\pi\) |
−0.724970 | + | 0.688781i | \(0.758146\pi\) | |||||||
\(908\) | 5.54676 | − | 17.1881i | 0.184076 | − | 0.570406i | ||||
\(909\) | 5.13015 | − | 5.60749i | 0.170156 | − | 0.185989i | ||||
\(910\) | 1.59114 | − | 2.60235i | 0.0527459 | − | 0.0862671i | ||||
\(911\) | −24.5139 | − | 8.92235i | −0.812183 | − | 0.295611i | −0.0976578 | − | 0.995220i | \(-0.531135\pi\) |
−0.714525 | + | 0.699610i | \(0.753357\pi\) | |||||||
\(912\) | −9.51518 | − | 5.38301i | −0.315079 | − | 0.178249i | ||||
\(913\) | −26.9386 | − | 22.6042i | −0.891538 | − | 0.748089i | ||||
\(914\) | 6.83121 | + | 6.03158i | 0.225956 | + | 0.199507i | ||||
\(915\) | −4.38838 | + | 3.85158i | −0.145075 | + | 0.127329i | ||||
\(916\) | −52.7179 | + | 21.4222i | −1.74185 | + | 0.707809i | ||||
\(917\) | 41.0558 | − | 41.0558i | 1.35578 | − | 1.35578i | ||||
\(918\) | −16.0259 | − | 17.5657i | −0.528933 | − | 0.579756i | ||||
\(919\) | 3.21061i | 0.105908i | 0.998597 | + | 0.0529541i | \(0.0168637\pi\) | ||||
−0.998597 | + | 0.0529541i | \(0.983136\pi\) | |||||||
\(920\) | −6.68351 | − | 5.47586i | −0.220349 | − | 0.180534i | ||||
\(921\) | 16.5413 | + | 33.5091i | 0.545056 | + | 1.10416i | ||||
\(922\) | 9.86728 | − | 0.613415i | 0.324962 | − | 0.0202018i | ||||
\(923\) | 22.2245 | − | 1.94439i | 0.731527 | − | 0.0640003i | ||||
\(924\) | −26.1785 | − | 13.1165i | −0.861208 | − | 0.431500i | ||||
\(925\) | −5.72451 | − | 12.2762i | −0.188221 | − | 0.403641i | ||||
\(926\) | 9.03668 | + | 5.52526i | 0.296964 | + | 0.181571i | ||||
\(927\) | −13.9331 | + | 44.3124i | −0.457623 | + | 1.45541i | ||||
\(928\) | 7.26306 | + | 2.96599i | 0.238422 | + | 0.0973635i | ||||
\(929\) | −9.91772 | + | 8.32195i | −0.325390 | + | 0.273034i | −0.790818 | − | 0.612051i | \(-0.790345\pi\) |
0.465429 | + | 0.885085i | \(0.345900\pi\) | |||||||
\(930\) | 0.590233 | − | 2.17692i | 0.0193545 | − | 0.0713840i | ||||
\(931\) | 0.242808 | − | 0.170016i | 0.00795771 | − | 0.00557205i | ||||
\(932\) | −28.5809 | + | 30.7724i | −0.936198 | + | 1.00798i | ||||
\(933\) | 0.537104 | + | 24.1763i | 0.0175840 | + | 0.791496i | ||||
\(934\) | −24.6489 | + | 10.7470i | −0.806535 | + | 0.351651i | ||||
\(935\) | −3.75598 | − | 2.16852i | −0.122834 | − | 0.0709181i | ||||
\(936\) | 1.89637 | − | 15.9444i | 0.0619849 | − | 0.521158i | ||||
\(937\) | 5.10146 | − | 2.94533i | 0.166658 | − | 0.0962198i | −0.414351 | − | 0.910117i | \(-0.635991\pi\) |
0.581009 | + | 0.813897i | \(0.302658\pi\) | |||||||
\(938\) | −1.19084 | + | 1.61270i | −0.0388823 | + | 0.0526564i | ||||
\(939\) | −10.4772 | + | 13.0649i | −0.341910 | + | 0.426356i | ||||
\(940\) | −2.67714 | + | 5.05935i | −0.0873186 | + | 0.165018i | ||||
\(941\) | 28.0205 | + | 13.0662i | 0.913443 | + | 0.425946i | 0.821754 | − | 0.569842i | \(-0.192996\pi\) |
0.0916890 | + | 0.995788i | \(0.470773\pi\) | |||||||
\(942\) | −16.4585 | − | 11.5973i | −0.536246 | − | 0.377860i | ||||
\(943\) | 12.8416 | + | 72.8281i | 0.418179 | + | 2.37161i | ||||
\(944\) | −46.2672 | − | 17.5482i | −1.50587 | − | 0.571147i | ||||
\(945\) | 5.60599 | − | 1.91040i | 0.182363 | − | 0.0621454i | ||||
\(946\) | −16.9942 | − | 31.2250i | −0.552530 | − | 1.01521i | ||||
\(947\) | 12.1587 | − | 17.3644i | 0.395104 | − | 0.564267i | −0.571480 | − | 0.820616i | \(-0.693631\pi\) |
0.966584 | + | 0.256349i | \(0.0825196\pi\) | |||||||
\(948\) | −8.69084 | − | 58.9447i | −0.282265 | − | 1.91443i | ||||
\(949\) | −6.51062 | + | 13.9621i | −0.211344 | + | 0.453228i | ||||
\(950\) | −8.96201 | + | 5.94472i | −0.290766 | + | 0.192872i | ||||
\(951\) | 37.5293 | − | 27.5405i | 1.21697 | − | 0.893061i | ||||
\(952\) | −22.3580 | − | 10.1082i | −0.724629 | − | 0.327610i | ||||
\(953\) | −30.0845 | + | 17.3693i | −0.974533 | + | 0.562647i | −0.900615 | − | 0.434617i | \(-0.856884\pi\) |
−0.0739180 | + | 0.997264i | \(0.523550\pi\) | |||||||
\(954\) | 0.810696 | − | 0.234036i | 0.0262473 | − | 0.00757721i | ||||
\(955\) | −1.32766 | − | 4.95491i | −0.0429622 | − | 0.160337i | ||||
\(956\) | 6.46758 | + | 51.8171i | 0.209176 | + | 1.67588i | ||||
\(957\) | −3.64006 | + | 6.64118i | −0.117666 | + | 0.214679i | ||||
\(958\) | −4.75468 | − | 14.1631i | −0.153617 | − | 0.457590i | ||||
\(959\) | 2.63895 | − | 14.9662i | 0.0852162 | − | 0.483285i | ||||
\(960\) | −5.44702 | − | 2.24326i | −0.175802 | − | 0.0724010i | ||||
\(961\) | −20.1537 | + | 16.9110i | −0.650120 | + | 0.545515i | ||||
\(962\) | −0.189375 | + | 7.51932i | −0.00610569 | + | 0.242433i | ||||
\(963\) | 5.41508 | − | 13.1025i | 0.174499 | − | 0.422222i | ||||
\(964\) | 22.8988 | + | 1.15415i | 0.737521 | + | 0.0371726i | ||||
\(965\) | 9.64485 | − | 4.49747i | 0.310479 | − | 0.144779i | ||||
\(966\) | 30.4388 | − | 36.0578i | 0.979354 | − | 1.16014i | ||||
\(967\) | 20.2970 | − | 24.1890i | 0.652708 | − | 0.777867i | −0.333612 | − | 0.942710i | \(-0.608268\pi\) |
0.986320 | + | 0.164844i | \(0.0527120\pi\) | |||||||
\(968\) | 2.88708 | − | 0.809994i | 0.0927942 | − | 0.0260342i | ||||
\(969\) | 4.91031 | − | 7.35509i | 0.157742 | − | 0.236280i | ||||
\(970\) | −2.41715 | − | 0.272951i | −0.0776100 | − | 0.00876392i | ||||
\(971\) | −9.99688 | + | 9.99688i | −0.320815 | + | 0.320815i | −0.849080 | − | 0.528265i | \(-0.822843\pi\) |
0.528265 | + | 0.849080i | \(0.322843\pi\) | |||||||
\(972\) | 22.6232 | − | 21.4521i | 0.725638 | − | 0.688076i | ||||
\(973\) | 2.20426 | + | 2.20426i | 0.0706653 | + | 0.0706653i | ||||
\(974\) | 35.7414 | − | 28.4884i | 1.14523 | − | 0.912827i | ||||
\(975\) | −13.1369 | − | 8.77029i | −0.420718 | − | 0.280874i | ||||
\(976\) | −0.426672 | + | 31.7148i | −0.0136574 | + | 1.01516i | ||||
\(977\) | −28.0437 | − | 23.5314i | −0.897197 | − | 0.752838i | 0.0724434 | − | 0.997373i | \(-0.476920\pi\) |
−0.969641 | + | 0.244535i | \(0.921365\pi\) | |||||||
\(978\) | −53.2851 | + | 4.50256i | −1.70387 | + | 0.143976i | ||||
\(979\) | −1.41693 | − | 3.03861i | −0.0452852 | − | 0.0971143i | ||||
\(980\) | 0.118483 | − | 0.107112i | 0.00378479 | − | 0.00342157i | ||||
\(981\) | −24.6573 | − | 10.1905i | −0.787248 | − | 0.325359i | ||||
\(982\) | 13.5974 | + | 14.3000i | 0.433910 | + | 0.456331i | ||||
\(983\) | −16.6142 | − | 19.8001i | −0.529912 | − | 0.631525i | 0.432983 | − | 0.901402i | \(-0.357461\pi\) |
−0.962895 | + | 0.269878i | \(0.913017\pi\) | |||||||
\(984\) | 22.8465 | + | 44.9462i | 0.728321 | + | 1.43283i | ||||
\(985\) | −8.75838 | − | 1.54434i | −0.279065 | − | 0.0492067i | ||||
\(986\) | −2.82606 | + | 5.68242i | −0.0900000 | + | 0.180965i | ||||
\(987\) | −27.4132 | − | 15.0253i | −0.872572 | − | 0.478260i | ||||
\(988\) | 5.92592 | − | 0.739647i | 0.188529 | − | 0.0235313i | ||||
\(989\) | 55.3392 | − | 14.8281i | 1.75968 | − | 0.471506i | ||||
\(990\) | 2.74801 | − | 4.97856i | 0.0873376 | − | 0.158229i | ||||
\(991\) | 10.2450 | + | 17.7449i | 0.325444 | + | 0.563685i | 0.981602 | − | 0.190938i | \(-0.0611530\pi\) |
−0.656158 | + | 0.754623i | \(0.727820\pi\) | |||||||
\(992\) | −6.63474 | − | 10.3004i | −0.210653 | − | 0.327039i | ||||
\(993\) | 17.2342 | + | 23.4850i | 0.546912 | + | 0.745274i | ||||
\(994\) | 43.8118 | + | 8.86798i | 1.38963 | + | 0.281275i | ||||
\(995\) | −0.300723 | − | 0.140229i | −0.00953355 | − | 0.00444557i | ||||
\(996\) | 23.0442 | − | 31.0147i | 0.730183 | − | 0.982737i | ||||
\(997\) | −1.58351 | − | 1.10878i | −0.0501502 | − | 0.0351155i | 0.548233 | − | 0.836326i | \(-0.315301\pi\) |
−0.598383 | + | 0.801210i | \(0.704190\pi\) | |||||||
\(998\) | 27.9161 | + | 8.23875i | 0.883667 | + | 0.260793i | ||||
\(999\) | −9.61648 | + | 10.9918i | −0.304252 | + | 0.347765i |
(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 | 432.2.bg.a.13.19 | ✓ | 840 | |
16.5 | even | 4 | inner | 432.2.bg.a.229.42 | yes | 840 | |
27.25 | even | 9 | inner | 432.2.bg.a.349.42 | yes | 840 | |
432.133 | even | 36 | inner | 432.2.bg.a.133.19 | yes | 840 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
432.2.bg.a.13.19 | ✓ | 840 | 1.1 | even | 1 | trivial | |
432.2.bg.a.133.19 | yes | 840 | 432.133 | even | 36 | inner | |
432.2.bg.a.229.42 | yes | 840 | 16.5 | even | 4 | inner | |
432.2.bg.a.349.42 | yes | 840 | 27.25 | even | 9 | inner |