Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,3,Mod(13,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 19]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.13");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.k (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.08720396540\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 67.1 | ||
Character | \(\chi\) | \(=\) | 150.67 |
Dual form | 150.3.k.a.103.1 |
$q$-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 \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{13}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.642040 | − | 1.26007i | 0.321020 | − | 0.630037i | ||||
\(3\) | −0.270952 | + | 1.71073i | −0.0903175 | + | 0.570242i | ||||
\(4\) | −1.17557 | − | 1.61803i | −0.293893 | − | 0.404508i | ||||
\(5\) | −3.75559 | − | 3.30084i | −0.751119 | − | 0.660167i | ||||
\(6\) | 1.98168 | + | 1.43977i | 0.330280 | + | 0.239962i | ||||
\(7\) | −5.04938 | − | 5.04938i | −0.721341 | − | 0.721341i | 0.247538 | − | 0.968878i | \(-0.420379\pi\) |
−0.968878 | + | 0.247538i | \(0.920379\pi\) | |||||||
\(8\) | −2.79360 | + | 0.442463i | −0.349201 | + | 0.0553079i | ||||
\(9\) | −2.85317 | − | 0.927051i | −0.317019 | − | 0.103006i | ||||
\(10\) | −6.57054 | + | 2.61306i | −0.657054 | + | 0.261306i | ||||
\(11\) | −1.94631 | − | 5.99013i | −0.176937 | − | 0.544557i | 0.822779 | − | 0.568361i | \(-0.192422\pi\) |
−0.999717 | + | 0.0238037i | \(0.992422\pi\) | |||||||
\(12\) | 3.08654 | − | 1.57267i | 0.257211 | − | 0.131056i | ||||
\(13\) | −0.134649 | − | 0.264264i | −0.0103576 | − | 0.0203280i | 0.885770 | − | 0.464125i | \(-0.153631\pi\) |
−0.896127 | + | 0.443797i | \(0.853631\pi\) | |||||||
\(14\) | −9.60450 | + | 3.12069i | −0.686036 | + | 0.222906i | ||||
\(15\) | 6.66442 | − | 5.53042i | 0.444294 | − | 0.368695i | ||||
\(16\) | −1.23607 | + | 3.80423i | −0.0772542 | + | 0.237764i | ||||
\(17\) | −3.88687 | − | 24.5408i | −0.228640 | − | 1.44357i | −0.788524 | − | 0.615004i | \(-0.789155\pi\) |
0.559885 | − | 0.828571i | \(-0.310845\pi\) | |||||||
\(18\) | −3.00000 | + | 3.00000i | −0.166667 | + | 0.166667i | ||||
\(19\) | −3.92362 | + | 5.40040i | −0.206506 | + | 0.284232i | −0.899690 | − | 0.436529i | \(-0.856207\pi\) |
0.693184 | + | 0.720761i | \(0.256207\pi\) | |||||||
\(20\) | −0.925901 | + | 9.95704i | −0.0462951 | + | 0.497852i | ||||
\(21\) | 10.0063 | − | 7.26997i | 0.476488 | − | 0.346189i | ||||
\(22\) | −8.79761 | − | 1.39341i | −0.399892 | − | 0.0633366i | ||||
\(23\) | 0.779906 | + | 0.397382i | 0.0339090 | + | 0.0172775i | 0.470863 | − | 0.882206i | \(-0.343943\pi\) |
−0.436954 | + | 0.899484i | \(0.643943\pi\) | |||||||
\(24\) | − | 4.89898i | − | 0.204124i | ||||||
\(25\) | 3.20896 | + | 24.7932i | 0.128358 | + | 0.991728i | ||||
\(26\) | −0.419443 | −0.0161324 | ||||||||
\(27\) | 2.35900 | − | 4.62981i | 0.0873705 | − | 0.171474i | ||||
\(28\) | −2.23417 | + | 14.1060i | −0.0797917 | + | 0.503785i | ||||
\(29\) | 0.149281 | + | 0.205468i | 0.00514763 | + | 0.00708510i | 0.811583 | − | 0.584237i | \(-0.198606\pi\) |
−0.806435 | + | 0.591322i | \(0.798606\pi\) | |||||||
\(30\) | −2.68992 | − | 11.9484i | −0.0896640 | − | 0.398280i | ||||
\(31\) | 31.6948 | + | 23.0276i | 1.02241 | + | 0.742827i | 0.966776 | − | 0.255624i | \(-0.0822810\pi\) |
0.0556371 | + | 0.998451i | \(0.482281\pi\) | |||||||
\(32\) | 4.00000 | + | 4.00000i | 0.125000 | + | 0.125000i | ||||
\(33\) | 10.7748 | − | 1.70657i | 0.326510 | − | 0.0517141i | ||||
\(34\) | −33.4187 | − | 10.8584i | −0.982903 | − | 0.319364i | ||||
\(35\) | 2.29624 | + | 35.6306i | 0.0656069 | + | 1.01802i | ||||
\(36\) | 1.85410 | + | 5.70634i | 0.0515028 | + | 0.158509i | ||||
\(37\) | −10.5236 | + | 5.36203i | −0.284421 | + | 0.144920i | −0.590381 | − | 0.807125i | \(-0.701023\pi\) |
0.305960 | + | 0.952044i | \(0.401023\pi\) | |||||||
\(38\) | 4.28578 | + | 8.41132i | 0.112784 | + | 0.221351i | ||||
\(39\) | 0.488568 | − | 0.158745i | 0.0125274 | − | 0.00407039i | ||||
\(40\) | 11.9521 | + | 7.55952i | 0.298804 | + | 0.188988i | ||||
\(41\) | 13.4241 | − | 41.3151i | 0.327417 | − | 1.00769i | −0.642921 | − | 0.765933i | \(-0.722278\pi\) |
0.970338 | − | 0.241753i | \(-0.0777225\pi\) | |||||||
\(42\) | −2.73629 | − | 17.2762i | −0.0651497 | − | 0.411339i | ||||
\(43\) | −9.20095 | + | 9.20095i | −0.213976 | + | 0.213976i | −0.805954 | − | 0.591978i | \(-0.798347\pi\) |
0.591978 | + | 0.805954i | \(0.298347\pi\) | |||||||
\(44\) | −7.40421 | + | 10.1910i | −0.168277 | + | 0.231614i | ||||
\(45\) | 7.65530 | + | 12.8995i | 0.170118 | + | 0.286655i | ||||
\(46\) | 1.00146 | − | 0.727604i | 0.0217709 | − | 0.0158175i | ||||
\(47\) | 27.3024 | + | 4.32428i | 0.580903 | + | 0.0920060i | 0.439969 | − | 0.898013i | \(-0.354989\pi\) |
0.140934 | + | 0.990019i | \(0.454989\pi\) | |||||||
\(48\) | −6.17307 | − | 3.14534i | −0.128606 | − | 0.0655279i | ||||
\(49\) | 1.99256i | 0.0406645i | ||||||||
\(50\) | 33.3015 | + | 11.8747i | 0.666031 | + | 0.237494i | ||||
\(51\) | 43.0357 | 0.843837 | ||||||||
\(52\) | −0.269299 | + | 0.528529i | −0.00517882 | + | 0.0101640i | ||||
\(53\) | 16.2146 | − | 102.375i | 0.305936 | − | 1.93160i | −0.0538019 | − | 0.998552i | \(-0.517134\pi\) |
0.359738 | − | 0.933053i | \(-0.382866\pi\) | |||||||
\(54\) | −4.31932 | − | 5.94504i | −0.0799874 | − | 0.110093i | ||||
\(55\) | −12.4629 | + | 28.9210i | −0.226598 | + | 0.525835i | ||||
\(56\) | 16.3401 | + | 11.8718i | 0.291788 | + | 0.211997i | ||||
\(57\) | −8.17549 | − | 8.17549i | −0.143430 | − | 0.143430i | ||||
\(58\) | 0.354749 | − | 0.0561867i | 0.00611636 | − | 0.000968737i | ||||
\(59\) | 19.5696 | + | 6.35855i | 0.331688 | + | 0.107772i | 0.470126 | − | 0.882599i | \(-0.344208\pi\) |
−0.138438 | + | 0.990371i | \(0.544208\pi\) | |||||||
\(60\) | −16.7829 | − | 4.28185i | −0.279715 | − | 0.0713642i | ||||
\(61\) | 24.2844 | + | 74.7398i | 0.398105 | + | 1.22524i | 0.926517 | + | 0.376254i | \(0.122788\pi\) |
−0.528411 | + | 0.848989i | \(0.677212\pi\) | |||||||
\(62\) | 49.3658 | − | 25.1531i | 0.796223 | − | 0.405696i | ||||
\(63\) | 9.72571 | + | 19.0878i | 0.154376 | + | 0.302981i | ||||
\(64\) | 7.60845 | − | 2.47214i | 0.118882 | − | 0.0386271i | ||||
\(65\) | −0.366605 | + | 1.43693i | −0.00564008 | + | 0.0221065i | ||||
\(66\) | 4.76747 | − | 14.6728i | 0.0722344 | − | 0.222315i | ||||
\(67\) | −14.1042 | − | 89.0506i | −0.210511 | − | 1.32911i | −0.835935 | − | 0.548828i | \(-0.815074\pi\) |
0.625424 | − | 0.780285i | \(-0.284926\pi\) | |||||||
\(68\) | −35.1385 | + | 35.1385i | −0.516743 | + | 0.516743i | ||||
\(69\) | −0.891130 | + | 1.22653i | −0.0129149 | + | 0.0177759i | ||||
\(70\) | 46.3715 | + | 19.9828i | 0.662450 | + | 0.285469i | ||||
\(71\) | 70.3502 | − | 51.1124i | 0.990848 | − | 0.719893i | 0.0307412 | − | 0.999527i | \(-0.490213\pi\) |
0.960107 | + | 0.279634i | \(0.0902132\pi\) | |||||||
\(72\) | 8.38081 | + | 1.32739i | 0.116400 | + | 0.0184360i | ||||
\(73\) | −126.687 | − | 64.5501i | −1.73544 | − | 0.884248i | −0.970837 | − | 0.239742i | \(-0.922937\pi\) |
−0.764599 | − | 0.644507i | \(-0.777063\pi\) | |||||||
\(74\) | 16.7031i | 0.225718i | ||||||||
\(75\) | −43.2839 | − | 1.22813i | −0.577118 | − | 0.0163751i | ||||
\(76\) | 13.3505 | 0.175665 | ||||||||
\(77\) | −20.4188 | + | 40.0741i | −0.265179 | + | 0.520443i | ||||
\(78\) | 0.113649 | − | 0.717552i | 0.00145704 | − | 0.00919938i | ||||
\(79\) | 68.2204 | + | 93.8974i | 0.863550 | + | 1.18857i | 0.980711 | + | 0.195462i | \(0.0626205\pi\) |
−0.117161 | + | 0.993113i | \(0.537380\pi\) | |||||||
\(80\) | 17.1993 | − | 10.2071i | 0.214991 | − | 0.127588i | ||||
\(81\) | 7.28115 | + | 5.29007i | 0.0898908 | + | 0.0653095i | ||||
\(82\) | −43.4413 | − | 43.4413i | −0.529772 | − | 0.529772i | ||||
\(83\) | −87.8156 | + | 13.9086i | −1.05802 | + | 0.167574i | −0.661114 | − | 0.750286i | \(-0.729916\pi\) |
−0.396905 | + | 0.917860i | \(0.629916\pi\) | |||||||
\(84\) | −23.5261 | − | 7.64410i | −0.280073 | − | 0.0910012i | ||||
\(85\) | −66.4075 | + | 104.995i | −0.781265 | + | 1.23524i | ||||
\(86\) | 5.68650 | + | 17.5012i | 0.0661221 | + | 0.203503i | ||||
\(87\) | −0.391947 | + | 0.199707i | −0.00450514 | + | 0.00229549i | ||||
\(88\) | 8.08764 | + | 15.8729i | 0.0919050 | + | 0.180374i | ||||
\(89\) | −141.867 | + | 46.0953i | −1.59401 | + | 0.517925i | −0.965616 | − | 0.259971i | \(-0.916287\pi\) |
−0.628393 | + | 0.777896i | \(0.716287\pi\) | |||||||
\(90\) | 21.1693 | − | 1.36427i | 0.235214 | − | 0.0151585i | ||||
\(91\) | −0.654476 | + | 2.01427i | −0.00719204 | + | 0.0221348i | ||||
\(92\) | −0.273857 | − | 1.72907i | −0.00297671 | − | 0.0187942i | ||||
\(93\) | −47.9818 | + | 47.9818i | −0.515933 | + | 0.515933i | ||||
\(94\) | 22.9781 | − | 31.6267i | 0.244448 | − | 0.336454i | ||||
\(95\) | 32.5614 | − | 7.33048i | 0.342751 | − | 0.0771629i | ||||
\(96\) | −7.92672 | + | 5.75910i | −0.0825700 | + | 0.0599906i | ||||
\(97\) | −56.9694 | − | 9.02306i | −0.587313 | − | 0.0930212i | −0.144296 | − | 0.989535i | \(-0.546092\pi\) |
−0.443017 | + | 0.896513i | \(0.646092\pi\) | |||||||
\(98\) | 2.51077 | + | 1.27930i | 0.0256201 | + | 0.0130541i | ||||
\(99\) | 18.8952i | 0.190861i | ||||||||
\(100\) | 36.3439 | − | 34.3384i | 0.363439 | − | 0.343384i | ||||
\(101\) | −23.7820 | −0.235466 | −0.117733 | − | 0.993045i | \(-0.537563\pi\) | ||||
−0.117733 | + | 0.993045i | \(0.537563\pi\) | |||||||
\(102\) | 27.6306 | − | 54.2281i | 0.270888 | − | 0.531648i | ||||
\(103\) | 23.4373 | − | 147.977i | 0.227546 | − | 1.43667i | −0.564107 | − | 0.825701i | \(-0.690780\pi\) |
0.791654 | − | 0.610970i | \(-0.209220\pi\) | |||||||
\(104\) | 0.493085 | + | 0.678673i | 0.00474120 | + | 0.00652570i | ||||
\(105\) | −61.5764 | − | 5.72597i | −0.586442 | − | 0.0545330i | ||||
\(106\) | −118.590 | − | 86.1604i | −1.11877 | − | 0.812834i | ||||
\(107\) | 136.505 | + | 136.505i | 1.27575 | + | 1.27575i | 0.943026 | + | 0.332719i | \(0.107966\pi\) |
0.332719 | + | 0.943026i | \(0.392034\pi\) | |||||||
\(108\) | −10.2644 | + | 1.62571i | −0.0950404 | + | 0.0150529i | ||||
\(109\) | −5.45648 | − | 1.77292i | −0.0500595 | − | 0.0162653i | 0.283880 | − | 0.958860i | \(-0.408378\pi\) |
−0.333940 | + | 0.942594i | \(0.608378\pi\) | |||||||
\(110\) | 28.4409 | + | 34.2726i | 0.258553 | + | 0.311569i | ||||
\(111\) | −6.32157 | − | 19.4558i | −0.0569511 | − | 0.175278i | ||||
\(112\) | 25.4504 | − | 12.9676i | 0.227236 | − | 0.115782i | ||||
\(113\) | −80.2019 | − | 157.405i | −0.709751 | − | 1.39297i | −0.910578 | − | 0.413338i | \(-0.864363\pi\) |
0.200826 | − | 0.979627i | \(-0.435637\pi\) | |||||||
\(114\) | −15.5507 | + | 5.05273i | −0.136410 | + | 0.0443222i | ||||
\(115\) | −1.61732 | − | 4.06675i | −0.0140636 | − | 0.0353630i | ||||
\(116\) | 0.156964 | − | 0.483084i | 0.00135313 | − | 0.00416452i | ||||
\(117\) | 0.139191 | + | 0.878818i | 0.00118967 | + | 0.00751127i | ||||
\(118\) | 20.5767 | − | 20.5767i | 0.174379 | − | 0.174379i | ||||
\(119\) | −104.289 | + | 143.542i | −0.876382 | + | 1.20624i | ||||
\(120\) | −16.1707 | + | 18.3986i | −0.134756 | + | 0.153321i | ||||
\(121\) | 65.7975 | − | 47.8047i | 0.543781 | − | 0.395080i | ||||
\(122\) | 109.769 | + | 17.3857i | 0.899747 | + | 0.142506i | ||||
\(123\) | 67.0416 | + | 34.1594i | 0.545054 | + | 0.277719i | ||||
\(124\) | − | 78.3539i | − | 0.631886i | ||||||
\(125\) | 69.7868 | − | 103.705i | 0.558294 | − | 0.829643i | ||||
\(126\) | 30.2963 | 0.240447 | ||||||||
\(127\) | 26.2388 | − | 51.4965i | 0.206605 | − | 0.405485i | −0.764331 | − | 0.644824i | \(-0.776931\pi\) |
0.970936 | + | 0.239339i | \(0.0769308\pi\) | |||||||
\(128\) | 1.76985 | − | 11.1744i | 0.0138270 | − | 0.0873001i | ||||
\(129\) | −13.2473 | − | 18.2333i | −0.102692 | − | 0.141344i | ||||
\(130\) | 1.57526 | + | 1.38451i | 0.0121174 | + | 0.0106501i | ||||
\(131\) | −192.036 | − | 139.523i | −1.46593 | − | 1.06506i | −0.981769 | − | 0.190077i | \(-0.939126\pi\) |
−0.484157 | − | 0.874981i | \(-0.660874\pi\) | |||||||
\(132\) | −15.4279 | − | 15.4279i | −0.116878 | − | 0.116878i | ||||
\(133\) | 47.0806 | − | 7.45683i | 0.353989 | − | 0.0560664i | ||||
\(134\) | −121.266 | − | 39.4016i | −0.904968 | − | 0.294042i | ||||
\(135\) | −24.1417 | + | 9.60098i | −0.178827 | + | 0.0711184i | ||||
\(136\) | 21.7168 | + | 66.8374i | 0.159682 | + | 0.491451i | ||||
\(137\) | −144.912 | + | 73.8364i | −1.05775 | + | 0.538952i | −0.894239 | − | 0.447589i | \(-0.852283\pi\) |
−0.163514 | + | 0.986541i | \(0.552283\pi\) | |||||||
\(138\) | 0.973383 | + | 1.91037i | 0.00705350 | + | 0.0138433i | ||||
\(139\) | 55.2509 | − | 17.9521i | 0.397488 | − | 0.129152i | −0.103450 | − | 0.994635i | \(-0.532988\pi\) |
0.500939 | + | 0.865483i | \(0.332988\pi\) | |||||||
\(140\) | 54.9522 | − | 45.6017i | 0.392515 | − | 0.325726i | ||||
\(141\) | −14.7953 | + | 45.5353i | −0.104931 | + | 0.322945i | ||||
\(142\) | −19.2378 | − | 121.463i | −0.135477 | − | 0.855370i | ||||
\(143\) | −1.32091 | + | 1.32091i | −0.00923712 | + | 0.00923712i | ||||
\(144\) | 7.05342 | − | 9.70820i | 0.0489821 | − | 0.0674181i | ||||
\(145\) | 0.117577 | − | 1.26441i | 0.000810874 | − | 0.00872005i | ||||
\(146\) | −162.676 | + | 118.191i | −1.11422 | + | 0.809527i | ||||
\(147\) | −3.40872 | − | 0.539889i | −0.0231886 | − | 0.00367271i | ||||
\(148\) | 21.0471 | + | 10.7241i | 0.142210 | + | 0.0724598i | ||||
\(149\) | 23.3539i | 0.156737i | 0.996924 | + | 0.0783686i | \(0.0249711\pi\) | ||||
−0.996924 | + | 0.0783686i | \(0.975029\pi\) | |||||||
\(150\) | −29.3375 | + | 53.7523i | −0.195583 | + | 0.358349i | ||||
\(151\) | 195.405 | 1.29407 | 0.647035 | − | 0.762460i | \(-0.276009\pi\) | ||||
0.647035 | + | 0.762460i | \(0.276009\pi\) | |||||||
\(152\) | 8.57156 | − | 16.8226i | 0.0563919 | − | 0.110675i | ||||
\(153\) | −11.6606 | + | 73.6223i | −0.0762132 | + | 0.481191i | ||||
\(154\) | 37.3867 | + | 51.4584i | 0.242771 | + | 0.334145i | ||||
\(155\) | −43.0224 | − | 191.102i | −0.277564 | − | 1.23291i | ||||
\(156\) | −0.831201 | − | 0.603903i | −0.00532821 | − | 0.00387117i | ||||
\(157\) | 152.292 | + | 152.292i | 0.970010 | + | 0.970010i | 0.999563 | − | 0.0295532i | \(-0.00940846\pi\) |
−0.0295532 | + | 0.999563i | \(0.509408\pi\) | |||||||
\(158\) | 162.118 | − | 25.6769i | 1.02606 | − | 0.162512i | ||||
\(159\) | 170.742 | + | 55.4775i | 1.07385 | + | 0.348915i | ||||
\(160\) | −1.81903 | − | 28.2257i | −0.0113689 | − | 0.176411i | ||||
\(161\) | −1.93151 | − | 5.94458i | −0.0119970 | − | 0.0369229i | ||||
\(162\) | 11.3407 | − | 5.77836i | 0.0700041 | − | 0.0356689i | ||||
\(163\) | 75.8940 | + | 148.950i | 0.465607 | + | 0.913806i | 0.997743 | + | 0.0671470i | \(0.0213897\pi\) |
−0.532136 | + | 0.846659i | \(0.678610\pi\) | |||||||
\(164\) | −82.6303 | + | 26.8482i | −0.503843 | + | 0.163709i | ||||
\(165\) | −46.0990 | − | 29.1568i | −0.279388 | − | 0.176708i | ||||
\(166\) | −38.8552 | + | 119.584i | −0.234067 | + | 0.720385i | ||||
\(167\) | 1.19340 | + | 7.53480i | 0.00714608 | + | 0.0451186i | 0.991004 | − | 0.133834i | \(-0.0427290\pi\) |
−0.983858 | + | 0.178953i | \(0.942729\pi\) | |||||||
\(168\) | −24.7368 | + | 24.7368i | −0.147243 | + | 0.147243i | ||||
\(169\) | 99.2840 | − | 136.653i | 0.587479 | − | 0.808596i | ||||
\(170\) | 89.6652 | + | 151.089i | 0.527443 | + | 0.888761i | ||||
\(171\) | 16.2012 | − | 11.7709i | 0.0947439 | − | 0.0688354i | ||||
\(172\) | 25.7038 | + | 4.07108i | 0.149441 | + | 0.0236691i | ||||
\(173\) | 131.671 | + | 67.0899i | 0.761106 | + | 0.387803i | 0.791052 | − | 0.611749i | \(-0.209534\pi\) |
−0.0299464 | + | 0.999552i | \(0.509534\pi\) | |||||||
\(174\) | 0.622103i | 0.00357530i | ||||||||
\(175\) | 108.987 | − | 141.394i | 0.622784 | − | 0.807964i | ||||
\(176\) | 25.1936 | 0.143145 | ||||||||
\(177\) | −16.1802 | + | 31.7554i | −0.0914134 | + | 0.179409i | ||||
\(178\) | −33.0006 | + | 208.358i | −0.185397 | + | 1.17055i | ||||
\(179\) | 124.545 | + | 171.421i | 0.695781 | + | 0.957661i | 0.999987 | + | 0.00505444i | \(0.00160889\pi\) |
−0.304206 | + | 0.952606i | \(0.598391\pi\) | |||||||
\(180\) | 11.8724 | − | 27.5508i | 0.0659580 | − | 0.153060i | ||||
\(181\) | −95.9004 | − | 69.6757i | −0.529836 | − | 0.384949i | 0.290460 | − | 0.956887i | \(-0.406192\pi\) |
−0.820297 | + | 0.571938i | \(0.806192\pi\) | |||||||
\(182\) | 2.11793 | + | 2.11793i | 0.0116370 | + | 0.0116370i | ||||
\(183\) | −134.439 | + | 21.2931i | −0.734641 | + | 0.116356i | ||||
\(184\) | −2.35458 | − | 0.765048i | −0.0127966 | − | 0.00415787i | ||||
\(185\) | 57.2214 | + | 14.5990i | 0.309305 | + | 0.0789135i | ||||
\(186\) | 29.6544 | + | 91.2667i | 0.159432 | + | 0.490681i | ||||
\(187\) | −139.437 | + | 71.0469i | −0.745654 | + | 0.379930i | ||||
\(188\) | −25.0991 | − | 49.2598i | −0.133506 | − | 0.262020i | ||||
\(189\) | −35.2892 | + | 11.4662i | −0.186715 | + | 0.0606675i | ||||
\(190\) | 11.6687 | − | 45.7362i | 0.0614144 | − | 0.240717i | ||||
\(191\) | −47.6608 | + | 146.685i | −0.249533 | + | 0.767984i | 0.745325 | + | 0.666702i | \(0.232295\pi\) |
−0.994858 | + | 0.101282i | \(0.967705\pi\) | |||||||
\(192\) | 2.16762 | + | 13.6858i | 0.0112897 | + | 0.0712803i | ||||
\(193\) | 96.7283 | − | 96.7283i | 0.501183 | − | 0.501183i | −0.410623 | − | 0.911805i | \(-0.634689\pi\) |
0.911805 | + | 0.410623i | \(0.134689\pi\) | |||||||
\(194\) | −47.9463 | + | 65.9924i | −0.247146 | + | 0.340167i | ||||
\(195\) | −2.35885 | − | 1.01650i | −0.0120967 | − | 0.00521282i | ||||
\(196\) | 3.22403 | − | 2.34239i | 0.0164491 | − | 0.0119510i | ||||
\(197\) | 124.888 | + | 19.7803i | 0.633949 | + | 0.100408i | 0.465134 | − | 0.885240i | \(-0.346006\pi\) |
0.168815 | + | 0.985648i | \(0.446006\pi\) | |||||||
\(198\) | 23.8093 | + | 12.1315i | 0.120249 | + | 0.0612700i | ||||
\(199\) | − | 188.411i | − | 0.946788i | −0.880851 | − | 0.473394i | \(-0.843029\pi\) | ||
0.880851 | − | 0.473394i | \(-0.156971\pi\) | |||||||
\(200\) | −19.9346 | − | 67.8425i | −0.0996732 | − | 0.339213i | ||||
\(201\) | 156.163 | 0.776929 | ||||||||
\(202\) | −15.2690 | + | 29.9671i | −0.0755891 | + | 0.148352i | ||||
\(203\) | 0.283708 | − | 1.79126i | 0.00139758 | − | 0.00882396i | ||||
\(204\) | −50.5915 | − | 69.6332i | −0.247997 | − | 0.341339i | ||||
\(205\) | −186.790 | + | 110.852i | −0.911170 | + | 0.540742i | ||||
\(206\) | −171.414 | − | 124.540i | −0.832109 | − | 0.604562i | ||||
\(207\) | −1.85681 | − | 1.85681i | −0.00897010 | − | 0.00897010i | ||||
\(208\) | 1.17176 | − | 0.185588i | 0.00563345 | − | 0.000892251i | ||||
\(209\) | 39.9857 | + | 12.9921i | 0.191319 | + | 0.0621633i | ||||
\(210\) | −46.7496 | + | 73.9145i | −0.222617 | + | 0.351974i | ||||
\(211\) | 102.744 | + | 316.214i | 0.486940 | + | 1.49865i | 0.829152 | + | 0.559024i | \(0.188824\pi\) |
−0.342212 | + | 0.939623i | \(0.611176\pi\) | |||||||
\(212\) | −184.708 | + | 94.1133i | −0.871263 | + | 0.443931i | ||||
\(213\) | 68.3778 | + | 134.199i | 0.321022 | + | 0.630042i | ||||
\(214\) | 259.647 | − | 84.3646i | 1.21331 | − | 0.394227i | ||||
\(215\) | 64.9258 | − | 4.18419i | 0.301981 | − | 0.0194613i | ||||
\(216\) | −4.54160 | + | 13.9776i | −0.0210259 | + | 0.0647112i | ||||
\(217\) | −43.7639 | − | 276.315i | −0.201677 | − | 1.27334i | ||||
\(218\) | −5.73729 | + | 5.73729i | −0.0263178 | + | 0.0263178i | ||||
\(219\) | 144.754 | − | 199.236i | 0.660976 | − | 0.909755i | ||||
\(220\) | 61.4461 | − | 13.8332i | 0.279300 | − | 0.0628784i | ||||
\(221\) | −5.96188 | + | 4.33156i | −0.0269769 | + | 0.0195998i | ||||
\(222\) | −28.5744 | − | 4.52575i | −0.128714 | − | 0.0203863i | ||||
\(223\) | −113.831 | − | 58.0000i | −0.510455 | − | 0.260090i | 0.179739 | − | 0.983714i | \(-0.442475\pi\) |
−0.690194 | + | 0.723625i | \(0.742475\pi\) | |||||||
\(224\) | − | 40.3951i | − | 0.180335i | ||||||
\(225\) | 13.8289 | − | 73.7141i | 0.0614616 | − | 0.327618i | ||||
\(226\) | −249.835 | −1.10546 | ||||||||
\(227\) | −117.516 | + | 230.638i | −0.517691 | + | 1.01603i | 0.473148 | + | 0.880983i | \(0.343118\pi\) |
−0.990840 | + | 0.135044i | \(0.956882\pi\) | |||||||
\(228\) | −3.61736 | + | 22.8391i | −0.0158656 | + | 0.100171i | ||||
\(229\) | −113.815 | − | 156.653i | −0.497008 | − | 0.684073i | 0.484653 | − | 0.874706i | \(-0.338946\pi\) |
−0.981661 | + | 0.190633i | \(0.938946\pi\) | |||||||
\(230\) | −6.16278 | − | 0.573075i | −0.0267947 | − | 0.00249163i | ||||
\(231\) | −63.0234 | − | 45.7892i | −0.272828 | − | 0.198221i | ||||
\(232\) | −0.507945 | − | 0.507945i | −0.00218942 | − | 0.00218942i | ||||
\(233\) | 440.503 | − | 69.7689i | 1.89057 | − | 0.299437i | 0.899943 | − | 0.436008i | \(-0.143608\pi\) |
0.990630 | + | 0.136571i | \(0.0436082\pi\) | |||||||
\(234\) | 1.19674 | + | 0.388845i | 0.00511428 | + | 0.00166173i | ||||
\(235\) | −88.2631 | − | 106.361i | −0.375588 | − | 0.452600i | ||||
\(236\) | −12.7171 | − | 39.1392i | −0.0538860 | − | 0.165844i | ||||
\(237\) | −179.117 | + | 91.2648i | −0.755769 | + | 0.385083i | ||||
\(238\) | 113.916 | + | 223.572i | 0.478637 | + | 0.939378i | ||||
\(239\) | 170.058 | − | 55.2553i | 0.711541 | − | 0.231194i | 0.0691891 | − | 0.997604i | \(-0.477959\pi\) |
0.642352 | + | 0.766410i | \(0.277959\pi\) | |||||||
\(240\) | 12.8013 | + | 32.1889i | 0.0533388 | + | 0.134120i | ||||
\(241\) | 106.451 | − | 327.624i | 0.441707 | − | 1.35943i | −0.444348 | − | 0.895854i | \(-0.646565\pi\) |
0.886055 | − | 0.463580i | \(-0.153435\pi\) | |||||||
\(242\) | −17.9928 | − | 113.602i | −0.0743505 | − | 0.469431i | ||||
\(243\) | −11.0227 | + | 11.0227i | −0.0453609 | + | 0.0453609i | ||||
\(244\) | 92.3835 | − | 127.155i | 0.378621 | − | 0.521127i | ||||
\(245\) | 6.57711 | − | 7.48324i | 0.0268453 | − | 0.0305438i | ||||
\(246\) | 86.0867 | − | 62.5456i | 0.349946 | − | 0.254251i | ||||
\(247\) | 1.95545 | + | 0.309712i | 0.00791679 | + | 0.00125390i | ||||
\(248\) | −98.7317 | − | 50.3063i | −0.398112 | − | 0.202848i | ||||
\(249\) | − | 153.997i | − | 0.618462i | ||||||
\(250\) | −85.8706 | − | 154.519i | −0.343482 | − | 0.618078i | ||||
\(251\) | −137.279 | −0.546929 | −0.273464 | − | 0.961882i | \(-0.588170\pi\) | ||||
−0.273464 | + | 0.961882i | \(0.588170\pi\) | |||||||
\(252\) | 19.4514 | − | 38.1756i | 0.0771882 | − | 0.151490i | ||||
\(253\) | 0.862430 | − | 5.44517i | 0.00340882 | − | 0.0215224i | ||||
\(254\) | −48.0431 | − | 66.1256i | −0.189146 | − | 0.260337i | ||||
\(255\) | −161.625 | − | 142.054i | −0.633822 | − | 0.557074i | ||||
\(256\) | −12.9443 | − | 9.40456i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | 167.066 | + | 167.066i | 0.650063 | + | 0.650063i | 0.953008 | − | 0.302945i | \(-0.0979699\pi\) |
−0.302945 | + | 0.953008i | \(0.597970\pi\) | |||||||
\(258\) | −31.4806 | + | 4.98604i | −0.122018 | + | 0.0193257i | ||||
\(259\) | 80.2125 | + | 26.0626i | 0.309701 | + | 0.100628i | ||||
\(260\) | 2.75596 | − | 1.09603i | 0.0105999 | − | 0.00421549i | ||||
\(261\) | −0.235445 | − | 0.724626i | −0.000902089 | − | 0.00277635i | ||||
\(262\) | −299.104 | + | 152.401i | −1.14162 | + | 0.581683i | ||||
\(263\) | −37.9612 | − | 74.5030i | −0.144339 | − | 0.283282i | 0.807507 | − | 0.589858i | \(-0.200816\pi\) |
−0.951846 | + | 0.306577i | \(0.900816\pi\) | |||||||
\(264\) | −29.3455 | + | 9.53494i | −0.111157 | + | 0.0361172i | ||||
\(265\) | −398.819 | + | 330.957i | −1.50498 | + | 1.24890i | ||||
\(266\) | 20.8314 | − | 64.1125i | 0.0783136 | − | 0.241025i | ||||
\(267\) | −40.4173 | − | 255.185i | −0.151376 | − | 0.955749i | ||||
\(268\) | −127.506 | + | 127.506i | −0.475770 | + | 0.475770i | ||||
\(269\) | 63.2077 | − | 86.9980i | 0.234973 | − | 0.323413i | −0.675205 | − | 0.737630i | \(-0.735945\pi\) |
0.910178 | + | 0.414218i | \(0.135945\pi\) | |||||||
\(270\) | −3.40198 | + | 36.5845i | −0.0125999 | + | 0.135498i | ||||
\(271\) | −116.959 | + | 84.9758i | −0.431584 | + | 0.313564i | −0.782282 | − | 0.622925i | \(-0.785944\pi\) |
0.350698 | + | 0.936489i | \(0.385944\pi\) | |||||||
\(272\) | 98.1630 | + | 15.5475i | 0.360894 | + | 0.0571599i | ||||
\(273\) | −3.26853 | − | 1.66540i | −0.0119726 | − | 0.00610037i | ||||
\(274\) | 230.006i | 0.839438i | ||||||||
\(275\) | 142.269 | − | 67.4774i | 0.517341 | − | 0.245372i | ||||
\(276\) | 3.03216 | 0.0109861 | ||||||||
\(277\) | −136.261 | + | 267.426i | −0.491915 | + | 0.965438i | 0.502958 | + | 0.864311i | \(0.332245\pi\) |
−0.994873 | + | 0.101127i | \(0.967755\pi\) | |||||||
\(278\) | 12.8523 | − | 81.1461i | 0.0462312 | − | 0.291893i | ||||
\(279\) | −69.0829 | − | 95.0844i | −0.247609 | − | 0.340804i | ||||
\(280\) | −22.1800 | − | 98.5219i | −0.0792144 | − | 0.351864i | ||||
\(281\) | −434.083 | − | 315.380i | −1.54478 | − | 1.12235i | −0.947247 | − | 0.320505i | \(-0.896147\pi\) |
−0.597534 | − | 0.801844i | \(-0.703853\pi\) | |||||||
\(282\) | 47.8787 | + | 47.8787i | 0.169782 | + | 0.169782i | ||||
\(283\) | −84.0552 | + | 13.3130i | −0.297015 | + | 0.0470425i | −0.303163 | − | 0.952939i | \(-0.598043\pi\) |
0.00614867 | + | 0.999981i | \(0.498043\pi\) | |||||||
\(284\) | −165.403 | − | 53.7428i | −0.582406 | − | 0.189235i | ||||
\(285\) | 3.71786 | + | 57.6898i | 0.0130451 | + | 0.202420i | ||||
\(286\) | 0.816367 | + | 2.51252i | 0.00285443 | + | 0.00878503i | ||||
\(287\) | −276.399 | + | 140.833i | −0.963064 | + | 0.490706i | ||||
\(288\) | −7.70447 | − | 15.1209i | −0.0267516 | − | 0.0525031i | ||||
\(289\) | −312.286 | + | 101.468i | −1.08057 | + | 0.351100i | ||||
\(290\) | −1.51776 | − | 0.959954i | −0.00523364 | − | 0.00331019i | ||||
\(291\) | 30.8720 | − | 95.0142i | 0.106089 | − | 0.326509i | ||||
\(292\) | 44.4849 | + | 280.867i | 0.152346 | + | 0.961872i | ||||
\(293\) | 52.5893 | − | 52.5893i | 0.179486 | − | 0.179486i | −0.611646 | − | 0.791132i | \(-0.709492\pi\) |
0.791132 | + | 0.611646i | \(0.209492\pi\) | |||||||
\(294\) | −2.86883 | + | 3.94861i | −0.00975794 | + | 0.0134306i | ||||
\(295\) | −52.5069 | − | 88.4762i | −0.177990 | − | 0.299919i | ||||
\(296\) | 27.0262 | − | 19.6357i | 0.0913047 | − | 0.0663368i | ||||
\(297\) | −32.3245 | − | 5.11970i | −0.108837 | − | 0.0172380i | ||||
\(298\) | 29.4276 | + | 14.9941i | 0.0987503 | + | 0.0503158i | ||||
\(299\) | − | 0.259609i | − | 0.000868257i | ||||||
\(300\) | 48.8961 | + | 71.4785i | 0.162987 | + | 0.238262i | ||||
\(301\) | 92.9182 | 0.308698 | ||||||||
\(302\) | 125.458 | − | 246.224i | 0.415422 | − | 0.815312i | ||||
\(303\) | 6.44380 | − | 40.6845i | 0.0212667 | − | 0.134272i | ||||
\(304\) | −15.6945 | − | 21.6016i | −0.0516266 | − | 0.0710579i | ||||
\(305\) | 155.501 | − | 360.851i | 0.509841 | − | 1.18312i | ||||
\(306\) | 85.2829 | + | 61.9617i | 0.278702 | + | 0.202489i | ||||
\(307\) | 134.703 | + | 134.703i | 0.438771 | + | 0.438771i | 0.891598 | − | 0.452827i | \(-0.149585\pi\) |
−0.452827 | + | 0.891598i | \(0.649585\pi\) | |||||||
\(308\) | 88.8451 | − | 14.0717i | 0.288458 | − | 0.0456873i | ||||
\(309\) | 246.798 | + | 80.1895i | 0.798699 | + | 0.259513i | ||||
\(310\) | −268.424 | − | 68.4835i | −0.865885 | − | 0.220915i | ||||
\(311\) | 33.2287 | + | 102.267i | 0.106845 | + | 0.328834i | 0.990159 | − | 0.139947i | \(-0.0446932\pi\) |
−0.883314 | + | 0.468781i | \(0.844693\pi\) | |||||||
\(312\) | −1.29463 | + | 0.659645i | −0.00414944 | + | 0.00211425i | ||||
\(313\) | 218.432 | + | 428.697i | 0.697865 | + | 1.36964i | 0.918946 | + | 0.394382i | \(0.129041\pi\) |
−0.221081 | + | 0.975255i | \(0.570959\pi\) | |||||||
\(314\) | 289.676 | − | 94.1214i | 0.922534 | − | 0.299750i | ||||
\(315\) | 26.4798 | − | 103.789i | 0.0840630 | − | 0.329489i | ||||
\(316\) | 71.7312 | − | 220.766i | 0.226998 | − | 0.698627i | ||||
\(317\) | 26.4870 | + | 167.232i | 0.0835552 | + | 0.527547i | 0.993593 | + | 0.113021i | \(0.0360527\pi\) |
−0.910037 | + | 0.414526i | \(0.863947\pi\) | |||||||
\(318\) | 179.529 | − | 179.529i | 0.564557 | − | 0.564557i | ||||
\(319\) | 0.940232 | − | 1.29412i | 0.00294744 | − | 0.00405680i | ||||
\(320\) | −36.7344 | − | 15.8299i | −0.114795 | − | 0.0494685i | ||||
\(321\) | −270.509 | + | 196.536i | −0.842706 | + | 0.612262i | ||||
\(322\) | −8.73072 | − | 1.38281i | −0.0271140 | − | 0.00429444i | ||||
\(323\) | 147.781 | + | 75.2980i | 0.457525 | + | 0.233121i | ||||
\(324\) | − | 18.0000i | − | 0.0555556i | ||||||
\(325\) | 6.11988 | − | 4.18640i | 0.0188304 | − | 0.0128812i | ||||
\(326\) | 236.415 | 0.725201 | ||||||||
\(327\) | 4.51143 | − | 8.85417i | 0.0137964 | − | 0.0270770i | ||||
\(328\) | −19.2212 | + | 121.358i | −0.0586012 | + | 0.369993i | ||||
\(329\) | −116.025 | − | 159.695i | −0.352661 | − | 0.485396i | ||||
\(330\) | −66.3371 | + | 39.3683i | −0.201021 | + | 0.119298i | ||||
\(331\) | 12.3520 | + | 8.97429i | 0.0373174 | + | 0.0271126i | 0.606288 | − | 0.795245i | \(-0.292658\pi\) |
−0.568970 | + | 0.822358i | \(0.692658\pi\) | |||||||
\(332\) | 125.738 | + | 125.738i | 0.378729 | + | 0.378729i | ||||
\(333\) | 34.9964 | − | 5.54289i | 0.105094 | − | 0.0166453i | ||||
\(334\) | 10.2606 | + | 3.33388i | 0.0307204 | + | 0.00998166i | ||||
\(335\) | −240.972 | + | 380.994i | −0.719319 | + | 1.13729i | ||||
\(336\) | 15.2882 | + | 47.0522i | 0.0455006 | + | 0.140036i | ||||
\(337\) | 96.0748 | − | 48.9525i | 0.285088 | − | 0.145260i | −0.305599 | − | 0.952160i | \(-0.598857\pi\) |
0.590687 | + | 0.806901i | \(0.298857\pi\) | |||||||
\(338\) | −108.448 | − | 212.842i | −0.320853 | − | 0.629709i | ||||
\(339\) | 291.008 | − | 94.5542i | 0.858430 | − | 0.278921i | ||||
\(340\) | 247.952 | − | 15.9795i | 0.729271 | − | 0.0469984i | ||||
\(341\) | 76.2505 | − | 234.675i | 0.223609 | − | 0.688197i | ||||
\(342\) | −4.43034 | − | 27.9721i | −0.0129542 | − | 0.0817897i | ||||
\(343\) | −237.359 | + | 237.359i | −0.692008 | + | 0.692008i | ||||
\(344\) | 21.6327 | − | 29.7749i | 0.0628858 | − | 0.0865549i | ||||
\(345\) | 7.39531 | − | 1.66489i | 0.0214357 | − | 0.00482577i | ||||
\(346\) | 169.076 | − | 122.841i | 0.488660 | − | 0.355032i | ||||
\(347\) | 147.764 | + | 23.4036i | 0.425834 | + | 0.0674455i | 0.365673 | − | 0.930743i | \(-0.380839\pi\) |
0.0601607 | + | 0.998189i | \(0.480839\pi\) | |||||||
\(348\) | 0.783895 | + | 0.399414i | 0.00225257 | + | 0.00114774i | ||||
\(349\) | 348.569i | 0.998765i | 0.866382 | + | 0.499382i | \(0.166440\pi\) | ||||
−0.866382 | + | 0.499382i | \(0.833560\pi\) | |||||||
\(350\) | −108.192 | − | 228.112i | −0.309121 | − | 0.651749i | ||||
\(351\) | −1.54113 | −0.00439069 | ||||||||
\(352\) | 16.1753 | − | 31.7458i | 0.0459525 | − | 0.0901869i | ||||
\(353\) | −3.90486 | + | 24.6543i | −0.0110619 | + | 0.0698423i | −0.992602 | − | 0.121416i | \(-0.961257\pi\) |
0.981540 | + | 0.191258i | \(0.0612566\pi\) | |||||||
\(354\) | 29.6258 | + | 40.7764i | 0.0836887 | + | 0.115188i | ||||
\(355\) | −432.920 | − | 40.2571i | −1.21949 | − | 0.113400i | ||||
\(356\) | 241.358 | + | 175.357i | 0.677973 | + | 0.492576i | ||||
\(357\) | −217.304 | − | 217.304i | −0.608694 | − | 0.608694i | ||||
\(358\) | 295.966 | − | 46.8764i | 0.826721 | − | 0.130940i | ||||
\(359\) | 329.183 | + | 106.958i | 0.916945 | + | 0.297933i | 0.729213 | − | 0.684287i | \(-0.239886\pi\) |
0.187732 | + | 0.982220i | \(0.439886\pi\) | |||||||
\(360\) | −27.0934 | − | 32.6488i | −0.0752595 | − | 0.0906912i | ||||
\(361\) | 97.7856 | + | 300.953i | 0.270874 | + | 0.833665i | ||||
\(362\) | −149.368 | + | 76.1070i | −0.412620 | + | 0.210240i | ||||
\(363\) | 63.9527 | + | 125.514i | 0.176178 | + | 0.345770i | ||||
\(364\) | 4.02854 | − | 1.30895i | 0.0110674 | − | 0.00359602i | ||||
\(365\) | 262.715 | + | 660.596i | 0.719766 | + | 1.80985i | ||||
\(366\) | −59.4845 | + | 183.074i | −0.162526 | + | 0.500203i | ||||
\(367\) | −106.120 | − | 670.015i | −0.289155 | − | 1.82565i | −0.521771 | − | 0.853086i | \(-0.674728\pi\) |
0.232616 | − | 0.972569i | \(-0.425272\pi\) | |||||||
\(368\) | −2.47575 | + | 2.47575i | −0.00672758 | + | 0.00672758i | ||||
\(369\) | −76.6025 | + | 105.434i | −0.207595 | + | 0.285730i | ||||
\(370\) | 55.1342 | − | 62.7301i | 0.149011 | − | 0.169541i | ||||
\(371\) | −598.805 | + | 435.057i | −1.61403 | + | 1.17266i | ||||
\(372\) | 134.042 | + | 21.2302i | 0.360328 | + | 0.0570704i | ||||
\(373\) | −121.319 | − | 61.8152i | −0.325253 | − | 0.165724i | 0.283738 | − | 0.958902i | \(-0.408425\pi\) |
−0.608991 | + | 0.793177i | \(0.708425\pi\) | |||||||
\(374\) | 221.316i | 0.591754i | ||||||||
\(375\) | 158.503 | + | 147.485i | 0.422674 | + | 0.393294i | ||||
\(376\) | −78.1855 | −0.207940 | ||||||||
\(377\) | 0.0341972 | − | 0.0671158i | 9.07088e−5 | − | 0.000178026i | ||||
\(378\) | −8.20886 | + | 51.8287i | −0.0217166 | + | 0.137113i | ||||
\(379\) | −138.277 | − | 190.322i | −0.364847 | − | 0.502169i | 0.586644 | − | 0.809845i | \(-0.300449\pi\) |
−0.951491 | + | 0.307676i | \(0.900449\pi\) | |||||||
\(380\) | −50.1391 | − | 44.0679i | −0.131945 | − | 0.115968i | ||||
\(381\) | 80.9870 | + | 58.8405i | 0.212564 | + | 0.154437i | ||||
\(382\) | 154.234 | + | 154.234i | 0.403753 | + | 0.403753i | ||||
\(383\) | −452.560 | + | 71.6785i | −1.18162 | + | 0.187150i | −0.716171 | − | 0.697925i | \(-0.754107\pi\) |
−0.465448 | + | 0.885075i | \(0.654107\pi\) | |||||||
\(384\) | 18.6368 | + | 6.05547i | 0.0485334 | + | 0.0157695i | ||||
\(385\) | 208.963 | − | 83.1031i | 0.542761 | − | 0.215852i | ||||
\(386\) | −59.7814 | − | 183.988i | −0.154874 | − | 0.476653i | ||||
\(387\) | 34.7816 | − | 17.7221i | 0.0898750 | − | 0.0457936i | ||||
\(388\) | 52.3719 | + | 102.786i | 0.134979 | + | 0.264911i | ||||
\(389\) | 16.3257 | − | 5.30455i | 0.0419684 | − | 0.0136364i | −0.287958 | − | 0.957643i | \(-0.592976\pi\) |
0.329926 | + | 0.944007i | \(0.392976\pi\) | |||||||
\(390\) | −2.79534 | + | 2.31970i | −0.00716754 | + | 0.00594794i | ||||
\(391\) | 6.72066 | − | 20.6841i | 0.0171884 | − | 0.0529004i | ||||
\(392\) | −0.881634 | − | 5.56642i | −0.00224907 | − | 0.0142000i | ||||
\(393\) | 290.718 | − | 290.718i | 0.739740 | − | 0.739740i | ||||
\(394\) | 105.108 | − | 144.668i | 0.266771 | − | 0.367178i | ||||
\(395\) | 53.7317 | − | 577.825i | 0.136030 | − | 1.46285i | ||||
\(396\) | 30.5731 | − | 22.2126i | 0.0772047 | − | 0.0560925i | ||||
\(397\) | 563.879 | + | 89.3097i | 1.42035 | + | 0.224961i | 0.818894 | − | 0.573945i | \(-0.194588\pi\) |
0.601456 | + | 0.798906i | \(0.294588\pi\) | |||||||
\(398\) | −237.412 | − | 120.967i | −0.596511 | − | 0.303938i | ||||
\(399\) | 82.5624i | 0.206923i | ||||||||
\(400\) | −98.2854 | − | 18.4385i | −0.245714 | − | 0.0460962i | ||||
\(401\) | 388.467 | 0.968745 | 0.484373 | − | 0.874862i | \(-0.339048\pi\) | ||||
0.484373 | + | 0.874862i | \(0.339048\pi\) | |||||||
\(402\) | 100.263 | − | 196.777i | 0.249410 | − | 0.489494i | ||||
\(403\) | 1.81769 | − | 11.4765i | 0.00451041 | − | 0.0284776i | ||||
\(404\) | 27.9574 | + | 38.4801i | 0.0692016 | + | 0.0952478i | ||||
\(405\) | −9.88340 | − | 43.9012i | −0.0244035 | − | 0.108398i | ||||
\(406\) | −2.07497 | − | 1.50756i | −0.00511077 | − | 0.00371319i | ||||
\(407\) | 52.6014 | + | 52.6014i | 0.129242 | + | 0.129242i | ||||
\(408\) | −120.225 | + | 19.0417i | −0.294668 | + | 0.0466709i | ||||
\(409\) | −139.921 | − | 45.4632i | −0.342106 | − | 0.111157i | 0.132925 | − | 0.991126i | \(-0.457563\pi\) |
−0.475031 | + | 0.879969i | \(0.657563\pi\) | |||||||
\(410\) | 19.7552 | + | 306.540i | 0.0481834 | + | 0.747660i | ||||
\(411\) | −87.0496 | − | 267.911i | −0.211800 | − | 0.651852i | ||||
\(412\) | −266.984 | + | 136.035i | −0.648020 | + | 0.330183i | ||||
\(413\) | −66.7077 | − | 130.921i | −0.161520 | − | 0.317000i | ||||
\(414\) | −3.53186 | + | 1.14757i | −0.00853107 | + | 0.00277191i | ||||
\(415\) | 375.710 | + | 237.630i | 0.905324 | + | 0.572602i | ||||
\(416\) | 0.518460 | − | 1.59566i | 0.00124630 | − | 0.00383571i | ||||
\(417\) | 15.7408 | + | 99.3833i | 0.0377477 | + | 0.238329i | ||||
\(418\) | 42.0434 | − | 42.0434i | 0.100582 | − | 0.100582i | ||||
\(419\) | −402.320 | + | 553.746i | −0.960191 | + | 1.32159i | −0.0133424 | + | 0.999911i | \(0.504247\pi\) |
−0.946849 | + | 0.321679i | \(0.895753\pi\) | |||||||
\(420\) | 63.1226 | + | 106.364i | 0.150292 | + | 0.253248i | ||||
\(421\) | 16.4207 | − | 11.9303i | 0.0390040 | − | 0.0283380i | −0.568112 | − | 0.822951i | \(-0.692326\pi\) |
0.607116 | + | 0.794613i | \(0.292326\pi\) | |||||||
\(422\) | 464.419 | + | 73.5568i | 1.10052 | + | 0.174305i | ||||
\(423\) | −73.8896 | − | 37.6486i | −0.174680 | − | 0.0890039i | ||||
\(424\) | 293.170i | 0.691438i | ||||||||
\(425\) | 595.971 | − | 175.118i | 1.40228 | − | 0.412043i | ||||
\(426\) | 213.002 | 0.500004 | ||||||||
\(427\) | 254.768 | − | 500.011i | 0.596647 | − | 1.17099i | ||||
\(428\) | 60.3984 | − | 381.340i | 0.141118 | − | 0.890982i | ||||
\(429\) | −1.90181 | − | 2.61762i | −0.00443312 | − | 0.00610167i | ||||
\(430\) | 36.4126 | − | 84.4977i | 0.0846804 | − | 0.196506i | ||||
\(431\) | 170.046 | + | 123.546i | 0.394538 | + | 0.286649i | 0.767313 | − | 0.641273i | \(-0.221593\pi\) |
−0.372774 | + | 0.927922i | \(0.621593\pi\) | |||||||
\(432\) | 14.6969 | + | 14.6969i | 0.0340207 | + | 0.0340207i | ||||
\(433\) | 278.776 | − | 44.1537i | 0.643824 | − | 0.101972i | 0.174019 | − | 0.984742i | \(-0.444324\pi\) |
0.469804 | + | 0.882771i | \(0.344324\pi\) | |||||||
\(434\) | −376.275 | − | 122.259i | −0.866993 | − | 0.281703i | ||||
\(435\) | 2.13120 | + | 0.543736i | 0.00489930 | + | 0.00124997i | ||||
\(436\) | 3.54584 | + | 10.9130i | 0.00813266 | + | 0.0250297i | ||||
\(437\) | −5.20608 | + | 2.65263i | −0.0119132 | + | 0.00607009i | ||||
\(438\) | −158.115 | − | 310.318i | −0.360993 | − | 0.708489i | ||||
\(439\) | −518.643 | + | 168.517i | −1.18142 | + | 0.383867i | −0.832894 | − | 0.553433i | \(-0.813318\pi\) |
−0.348526 | + | 0.937299i | \(0.613318\pi\) | |||||||
\(440\) | 22.0199 | − | 86.3081i | 0.0500453 | − | 0.196155i | ||||
\(441\) | 1.84720 | − | 5.68511i | 0.00418867 | − | 0.0128914i | ||||
\(442\) | 1.63032 | + | 10.2934i | 0.00368851 | + | 0.0232883i | ||||
\(443\) | −289.805 | + | 289.805i | −0.654186 | + | 0.654186i | −0.953998 | − | 0.299812i | \(-0.903076\pi\) |
0.299812 | + | 0.953998i | \(0.403076\pi\) | |||||||
\(444\) | −24.0487 | + | 33.1002i | −0.0541637 | + | 0.0745500i | ||||
\(445\) | 684.947 | + | 295.164i | 1.53921 | + | 0.663290i | ||||
\(446\) | −146.168 | + | 106.198i | −0.327732 | + | 0.238111i | ||||
\(447\) | −39.9521 | − | 6.32778i | −0.0893782 | − | 0.0141561i | ||||
\(448\) | −50.9008 | − | 25.9352i | −0.113618 | − | 0.0578911i | ||||
\(449\) | − | 610.887i | − | 1.36055i | −0.732957 | − | 0.680275i | \(-0.761860\pi\) | ||
0.732957 | − | 0.680275i | \(-0.238140\pi\) | |||||||
\(450\) | −84.0065 | − | 64.7527i | −0.186681 | − | 0.143895i | ||||
\(451\) | −273.611 | −0.606675 | ||||||||
\(452\) | −160.404 | + | 314.810i | −0.354876 | + | 0.696483i | ||||
\(453\) | −52.9454 | + | 334.284i | −0.116877 | + | 0.737934i | ||||
\(454\) | 215.171 | + | 296.157i | 0.473945 | + | 0.652329i | ||||
\(455\) | 9.10672 | − | 5.40446i | 0.0200148 | − | 0.0118779i | ||||
\(456\) | 26.4564 | + | 19.2217i | 0.0580185 | + | 0.0421529i | ||||
\(457\) | −69.5844 | − | 69.5844i | −0.152263 | − | 0.152263i | 0.626865 | − | 0.779128i | \(-0.284338\pi\) |
−0.779128 | + | 0.626865i | \(0.784338\pi\) | |||||||
\(458\) | −270.468 | + | 42.8378i | −0.590540 | + | 0.0935324i | ||||
\(459\) | −122.788 | − | 39.8963i | −0.267512 | − | 0.0869200i | ||||
\(460\) | −4.67887 | + | 7.39762i | −0.0101714 | + | 0.0160818i | ||||
\(461\) | −63.0165 | − | 193.945i | −0.136695 | − | 0.420705i | 0.859155 | − | 0.511716i | \(-0.170990\pi\) |
−0.995850 | + | 0.0910114i | \(0.970990\pi\) | |||||||
\(462\) | −98.1612 | + | 50.0156i | −0.212470 | + | 0.108259i | ||||
\(463\) | −363.761 | − | 713.922i | −0.785662 | − | 1.54195i | −0.839476 | − | 0.543397i | \(-0.817138\pi\) |
0.0538144 | − | 0.998551i | \(-0.482862\pi\) | |||||||
\(464\) | −0.966168 | + | 0.313927i | −0.00208226 | + | 0.000676567i | ||||
\(465\) | 338.580 | − | 21.8200i | 0.728129 | − | 0.0469248i | ||||
\(466\) | 194.907 | − | 599.861i | 0.418255 | − | 1.28726i | ||||
\(467\) | −113.023 | − | 713.602i | −0.242020 | − | 1.52806i | −0.746941 | − | 0.664890i | \(-0.768478\pi\) |
0.504921 | − | 0.863166i | \(-0.331522\pi\) | |||||||
\(468\) | 1.25833 | − | 1.25833i | 0.00268874 | − | 0.00268874i | ||||
\(469\) | −378.433 | + | 520.868i | −0.806893 | + | 1.11059i | ||||
\(470\) | −190.691 | + | 42.9299i | −0.405726 | + | 0.0913403i | ||||
\(471\) | −301.793 | + | 219.265i | −0.640749 | + | 0.465532i | ||||
\(472\) | −57.4831 | − | 9.10444i | −0.121786 | − | 0.0192891i | ||||
\(473\) | 73.0228 | + | 37.2070i | 0.154382 | + | 0.0786617i | ||||
\(474\) | 284.296i | 0.599782i | ||||||||
\(475\) | −146.484 | − | 79.9494i | −0.308387 | − | 0.168315i | ||||
\(476\) | 354.855 | 0.745495 | ||||||||
\(477\) | −141.170 | + | 277.062i | −0.295954 | + | 0.580842i | ||||
\(478\) | 39.5584 | − | 249.762i | 0.0827582 | − | 0.522515i | ||||
\(479\) | 8.39815 | + | 11.5591i | 0.0175327 | + | 0.0241317i | 0.817693 | − | 0.575654i | \(-0.195252\pi\) |
−0.800161 | + | 0.599786i | \(0.795252\pi\) | |||||||
\(480\) | 48.7793 | + | 4.53597i | 0.101624 | + | 0.00944994i | ||||
\(481\) | 2.83399 | + | 2.05901i | 0.00589186 | + | 0.00428069i | ||||
\(482\) | −344.484 | − | 344.484i | −0.714697 | − | 0.714697i | ||||
\(483\) | 10.6929 | − | 1.69359i | 0.0221385 | − | 0.00350640i | ||||
\(484\) | −154.699 | − | 50.2648i | −0.319627 | − | 0.103853i | ||||
\(485\) | 184.170 | + | 221.933i | 0.379732 | + | 0.457595i | ||||
\(486\) | 6.81241 | + | 20.9664i | 0.0140173 | + | 0.0431408i | ||||
\(487\) | 404.541 | − | 206.124i | 0.830680 | − | 0.423252i | 0.0136910 | − | 0.999906i | \(-0.495642\pi\) |
0.816989 | + | 0.576654i | \(0.195642\pi\) | |||||||
\(488\) | −100.911 | − | 198.048i | −0.206784 | − | 0.405837i | ||||
\(489\) | −275.377 | + | 89.4754i | −0.563143 | + | 0.182976i | ||||
\(490\) | −5.20667 | − | 13.0922i | −0.0106258 | − | 0.0267187i | ||||
\(491\) | −2.93885 | + | 9.04484i | −0.00598543 | + | 0.0184213i | −0.954005 | − | 0.299792i | \(-0.903083\pi\) |
0.948019 | + | 0.318213i | \(0.103083\pi\) | |||||||
\(492\) | −23.5410 | − | 148.632i | −0.0478477 | − | 0.302098i | ||||
\(493\) | 4.46210 | − | 4.46210i | 0.00905092 | − | 0.00905092i | ||||
\(494\) | 1.64573 | − | 2.26516i | 0.00333145 | − | 0.00458534i | ||||
\(495\) | 62.3699 | − | 70.9626i | 0.126000 | − | 0.143359i | ||||
\(496\) | −126.779 | + | 92.1105i | −0.255603 | + | 0.185707i | ||||
\(497\) | −613.311 | − | 97.1390i | −1.23403 | − | 0.195451i | ||||
\(498\) | −194.048 | − | 98.8721i | −0.389654 | − | 0.198538i | ||||
\(499\) | − | 256.074i | − | 0.513175i | −0.966521 | − | 0.256588i | \(-0.917402\pi\) | ||
0.966521 | − | 0.256588i | \(-0.0825982\pi\) | |||||||
\(500\) | −249.838 | + | 8.99566i | −0.499676 | + | 0.0179913i | ||||
\(501\) | −13.2133 | −0.0263739 | ||||||||
\(502\) | −88.1386 | + | 172.982i | −0.175575 | + | 0.344585i | ||||
\(503\) | −50.1428 | + | 316.589i | −0.0996874 | + | 0.629402i | 0.886368 | + | 0.462982i | \(0.153221\pi\) |
−0.986055 | + | 0.166419i | \(0.946779\pi\) | |||||||
\(504\) | −35.6154 | − | 49.0204i | −0.0706656 | − | 0.0972628i | ||||
\(505\) | 89.3156 | + | 78.5006i | 0.176863 | + | 0.155447i | ||||
\(506\) | −6.30760 | − | 4.58274i | −0.0124656 | − | 0.00905680i | ||||
\(507\) | 206.874 | + | 206.874i | 0.408036 | + | 0.408036i | ||||
\(508\) | −114.169 | + | 18.0825i | −0.224742 | + | 0.0355956i | ||||
\(509\) | −189.766 | − | 61.6588i | −0.372822 | − | 0.121137i | 0.116612 | − | 0.993178i | \(-0.462797\pi\) |
−0.489434 | + | 0.872040i | \(0.662797\pi\) | |||||||
\(510\) | −282.768 | + | 112.455i | −0.554446 | + | 0.220499i | ||||
\(511\) | 313.752 | + | 965.629i | 0.613996 | + | 1.88968i | ||||
\(512\) | −20.1612 | + | 10.2726i | −0.0393773 | + | 0.0200637i | ||||
\(513\) | 15.7470 | + | 30.9052i | 0.0306958 | + | 0.0602440i | ||||
\(514\) | 317.779 | − | 103.253i | 0.618246 | − | 0.200880i | ||||
\(515\) | −576.469 | + | 478.379i | −1.11936 | + | 0.928892i | ||||
\(516\) | −13.9290 | + | 42.8691i | −0.0269942 | + | 0.0830797i | ||||
\(517\) | −27.2360 | − | 171.962i | −0.0526809 | − | 0.332614i | ||||
\(518\) | 84.3404 | − | 84.3404i | 0.162819 | − | 0.162819i | ||||
\(519\) | −150.449 | + | 207.075i | −0.289883 | + | 0.398989i | ||||
\(520\) | 0.388363 | − | 4.17641i | 0.000746851 | − | 0.00803156i | ||||
\(521\) | −16.9905 | + | 12.3443i | −0.0326114 | + | 0.0236935i | −0.603972 | − | 0.797006i | \(-0.706416\pi\) |
0.571360 | + | 0.820699i | \(0.306416\pi\) | |||||||
\(522\) | −1.06425 | − | 0.168560i | −0.00203879 | − | 0.000322912i | ||||
\(523\) | −232.641 | − | 118.537i | −0.444820 | − | 0.226647i | 0.217209 | − | 0.976125i | \(-0.430305\pi\) |
−0.662030 | + | 0.749478i | \(0.730305\pi\) | |||||||
\(524\) | 474.740i | 0.905992i | ||||||||
\(525\) | 212.355 | + | 224.758i | 0.404487 | + | 0.428111i | ||||
\(526\) | −118.252 | −0.224814 | ||||||||
\(527\) | 441.922 | − | 867.320i | 0.838561 | − | 1.64577i | ||||
\(528\) | −6.82626 | + | 43.0993i | −0.0129285 | + | 0.0816275i | ||||
\(529\) | −310.488 | − | 427.350i | −0.586934 | − | 0.807845i | ||||
\(530\) | 160.973 | + | 715.029i | 0.303723 | + | 1.34911i | ||||
\(531\) | −49.9407 | − | 36.2840i | −0.0940503 | − | 0.0683315i | ||||
\(532\) | −67.4119 | − | 67.4119i | −0.126714 | − | 0.126714i | ||||
\(533\) | −12.7257 | + | 2.01555i | −0.0238755 | + | 0.00378151i | ||||
\(534\) | −347.501 | − | 112.910i | −0.650752 | − | 0.211442i | ||||
\(535\) | −62.0764 | − | 963.236i | −0.116031 | − | 1.80044i | ||||
\(536\) | 78.8033 | + | 242.532i | 0.147021 | + | 0.452484i | ||||
\(537\) | −327.001 | + | 166.615i | −0.608940 | + | 0.310270i | ||||
\(538\) | −69.0420 | − | 135.503i | −0.128331 | − | 0.251863i | ||||
\(539\) | 11.9357 | − | 3.87814i | 0.0221441 | − | 0.00719506i | ||||
\(540\) | 43.9150 | + | 27.7754i | 0.0813240 | + | 0.0514360i | ||||
\(541\) | 158.762 | − | 488.619i | 0.293460 | − | 0.903178i | −0.690274 | − | 0.723548i | \(-0.742510\pi\) |
0.983734 | − | 0.179630i | \(-0.0574900\pi\) | |||||||
\(542\) | 31.9834 | + | 201.935i | 0.0590099 | + | 0.372574i | ||||
\(543\) | 145.181 | − | 145.181i | 0.267367 | − | 0.267367i | ||||
\(544\) | 82.6155 | − | 113.711i | 0.151867 | − | 0.209027i | ||||
\(545\) | 14.6402 | + | 24.6693i | 0.0268628 | + | 0.0452648i | ||||
\(546\) | −4.19705 | + | 3.04934i | −0.00768691 | + | 0.00558487i | ||||
\(547\) | 774.618 | + | 122.687i | 1.41612 | + | 0.224291i | 0.817125 | − | 0.576461i | \(-0.195567\pi\) |
0.598995 | + | 0.800752i | \(0.295567\pi\) | |||||||
\(548\) | 289.824 | + | 147.673i | 0.528877 | + | 0.269476i | ||||
\(549\) | − | 235.758i | − | 0.429432i | ||||||
\(550\) | 6.31581 | − | 222.592i | 0.0114833 | − | 0.404713i | ||||
\(551\) | −1.69533 | −0.00307683 | ||||||||
\(552\) | 1.94677 | − | 3.82074i | 0.00352675 | − | 0.00692164i | ||||
\(553\) | 129.653 | − | 818.595i | 0.234453 | − | 1.48028i | ||||
\(554\) | 249.492 | + | 343.397i | 0.450347 | + | 0.619849i | ||||
\(555\) | −40.4792 | + | 93.9346i | −0.0729354 | + | 0.169251i | ||||
\(556\) | −93.9984 | − | 68.2939i | −0.169062 | − | 0.122831i | ||||
\(557\) | 20.8301 | + | 20.8301i | 0.0373970 | + | 0.0373970i | 0.725558 | − | 0.688161i | \(-0.241582\pi\) |
−0.688161 | + | 0.725558i | \(0.741582\pi\) | |||||||
\(558\) | −164.167 | + | 26.0015i | −0.294207 | + | 0.0465978i | ||||
\(559\) | 3.67039 | + | 1.19258i | 0.00656598 | + | 0.00213342i | ||||
\(560\) | −138.385 | − | 35.3065i | −0.247117 | − | 0.0630472i | ||||
\(561\) | −83.7609 | − | 257.789i | −0.149306 | − | 0.459518i | ||||
\(562\) | −676.101 | + | 344.491i | −1.20303 | + | 0.612972i | ||||
\(563\) | −195.419 | − | 383.532i | −0.347104 | − | 0.681230i | 0.649779 | − | 0.760123i | \(-0.274861\pi\) |
−0.996883 | + | 0.0788934i | \(0.974861\pi\) | |||||||
\(564\) | 91.0706 | − | 29.5906i | 0.161473 | − | 0.0524657i | ||||
\(565\) | −218.363 | + | 855.883i | −0.386483 | + | 1.51484i | ||||
\(566\) | −37.1913 | + | 114.463i | −0.0657091 | + | 0.202232i | ||||
\(567\) | −10.0538 | − | 63.4769i | −0.0177315 | − | 0.111952i | ||||
\(568\) | −173.915 | + | 173.915i | −0.306189 | + | 0.306189i | ||||
\(569\) | −37.6004 | + | 51.7525i | −0.0660816 | + | 0.0909535i | −0.840779 | − | 0.541379i | \(-0.817902\pi\) |
0.774697 | + | 0.632333i | \(0.217902\pi\) | |||||||
\(570\) | 75.0804 | + | 32.3543i | 0.131720 | + | 0.0567620i | ||||
\(571\) | 693.696 | − | 504.000i | 1.21488 | − | 0.882662i | 0.219215 | − | 0.975677i | \(-0.429651\pi\) |
0.995665 | + | 0.0930151i | \(0.0296505\pi\) | |||||||
\(572\) | 3.69010 | + | 0.584454i | 0.00645122 | + | 0.00102177i | ||||
\(573\) | −238.024 | − | 121.279i | −0.415400 | − | 0.211657i | ||||
\(574\) | 438.704i | 0.764292i | ||||||||
\(575\) | −7.34969 | + | 20.6116i | −0.0127821 | + | 0.0358462i | ||||
\(576\) | −24.0000 | −0.0416667 | ||||||||
\(577\) | 115.347 | − | 226.382i | 0.199908 | − | 0.392342i | −0.769189 | − | 0.639022i | \(-0.779339\pi\) |
0.969097 | + | 0.246679i | \(0.0793394\pi\) | |||||||
\(578\) | −72.6429 | + | 458.649i | −0.125680 | + | 0.793511i | ||||
\(579\) | 139.267 | + | 191.684i | 0.240530 | + | 0.331061i | ||||
\(580\) | −2.18407 | + | 1.29616i | −0.00376564 | + | 0.00223475i | ||||
\(581\) | 513.644 | + | 373.185i | 0.884070 | + | 0.642314i | ||||
\(582\) | −99.9038 | − | 99.9038i | −0.171656 | − | 0.171656i | ||||
\(583\) | −644.799 | + | 102.126i | −1.10600 | + | 0.175173i | ||||
\(584\) | 382.474 | + | 124.273i | 0.654921 | + | 0.212797i | ||||
\(585\) | 2.37809 | − | 3.75993i | 0.00406511 | − | 0.00642723i | ||||
\(586\) | −32.5020 | − | 100.031i | −0.0554642 | − | 0.170701i | ||||
\(587\) | 301.069 | − | 153.402i | 0.512894 | − | 0.261333i | −0.178333 | − | 0.983970i | \(-0.557070\pi\) |
0.691227 | + | 0.722637i | \(0.257070\pi\) | |||||||
\(588\) | 3.13363 | + | 6.15010i | 0.00532931 | + | 0.0104594i | ||||
\(589\) | −248.717 | + | 80.8130i | −0.422270 | + | 0.137204i | ||||
\(590\) | −145.198 | + | 9.35738i | −0.246098 | + | 0.0158600i | ||||
\(591\) | −67.6774 | + | 208.290i | −0.114513 | + | 0.352436i | ||||
\(592\) | −7.39052 | − | 46.6619i | −0.0124840 | − | 0.0788207i | ||||
\(593\) | −48.5619 | + | 48.5619i | −0.0818919 | + | 0.0818919i | −0.746866 | − | 0.664974i | \(-0.768442\pi\) |
0.664974 | + | 0.746866i | \(0.268442\pi\) | |||||||
\(594\) | −27.2048 | + | 37.4442i | −0.0457993 | + | 0.0630374i | ||||
\(595\) | 865.477 | − | 194.843i | 1.45458 | − | 0.327468i | ||||
\(596\) | 37.7873 | − | 27.4541i | 0.0634016 | − | 0.0460639i | ||||
\(597\) | 322.319 | + | 51.0504i | 0.539899 | + | 0.0855115i | ||||
\(598\) | −0.327126 | − | 0.166679i | −0.000547034 | − | 0.000278728i | ||||
\(599\) | − | 661.844i | − | 1.10492i | −0.833541 | − | 0.552458i | \(-0.813690\pi\) | ||
0.833541 | − | 0.552458i | \(-0.186310\pi\) | |||||||
\(600\) | 121.461 | − | 15.7206i | 0.202436 | − | 0.0262010i | ||||
\(601\) | 74.9726 | 0.124746 | 0.0623732 | − | 0.998053i | \(-0.480133\pi\) | ||||
0.0623732 | + | 0.998053i | \(0.480133\pi\) | |||||||
\(602\) | 59.6572 | − | 117.084i | 0.0990983 | − | 0.194491i | ||||
\(603\) | −42.3127 | + | 267.152i | −0.0701703 | + | 0.443038i | ||||
\(604\) | −229.712 | − | 316.171i | −0.380318 | − | 0.523463i | ||||
\(605\) | −404.904 | − | 37.6519i | −0.669263 | − | 0.0622345i | ||||
\(606\) | −47.1283 | − | 34.2407i | −0.0777695 | − | 0.0565029i | ||||
\(607\) | 306.158 | + | 306.158i | 0.504379 | + | 0.504379i | 0.912796 | − | 0.408417i | \(-0.133919\pi\) |
−0.408417 | + | 0.912796i | \(0.633919\pi\) | |||||||
\(608\) | −37.2961 | + | 5.90712i | −0.0613422 | + | 0.00971566i | ||||
\(609\) | 2.98749 | + | 0.970695i | 0.00490557 | + | 0.00159392i | ||||
\(610\) | −354.861 | − | 427.624i | −0.581739 | − | 0.701023i | ||||
\(611\) | −2.53350 | − | 7.79732i | −0.00414649 | − | 0.0127616i | ||||
\(612\) | 132.831 | − | 67.6809i | 0.217045 | − | 0.110590i | ||||
\(613\) | 211.737 | + | 415.557i | 0.345411 | + | 0.677906i | 0.996722 | − | 0.0809043i | \(-0.0257808\pi\) |
−0.651311 | + | 0.758811i | \(0.725781\pi\) | |||||||
\(614\) | 256.220 | − | 83.2508i | 0.417296 | − | 0.135588i | ||||
\(615\) | −139.026 | − | 349.582i | −0.226059 | − | 0.568426i | ||||
\(616\) | 39.3107 | − | 120.986i | 0.0638161 | − | 0.196406i | ||||
\(617\) | −141.478 | − | 893.256i | −0.229300 | − | 1.44774i | −0.786617 | − | 0.617441i | \(-0.788169\pi\) |
0.557317 | − | 0.830300i | \(-0.311831\pi\) | |||||||
\(618\) | 259.499 | − | 259.499i | 0.419901 | − | 0.419901i | ||||
\(619\) | 135.512 | − | 186.516i | 0.218920 | − | 0.301318i | −0.685405 | − | 0.728162i | \(-0.740375\pi\) |
0.904325 | + | 0.426844i | \(0.140375\pi\) | |||||||
\(620\) | −258.633 | + | 294.265i | −0.417151 | + | 0.474621i | ||||
\(621\) | 3.67960 | − | 2.67339i | 0.00592529 | − | 0.00430497i | ||||
\(622\) | 150.199 | + | 23.7891i | 0.241477 | + | 0.0382462i | ||||
\(623\) | 949.093 | + | 483.587i | 1.52342 | + | 0.776223i | ||||
\(624\) | 2.05484i | 0.00329302i | ||||||||
\(625\) | −604.405 | + | 159.121i | −0.967048 | + | 0.254593i | ||||
\(626\) | 680.431 | 1.08695 | ||||||||
\(627\) | −33.0602 | + | 64.8843i | −0.0527276 | + | 0.103484i | ||||
\(628\) | 67.3835 | − | 425.442i | 0.107298 | − | 0.677456i | ||||
\(629\) | 172.492 | + | 237.415i | 0.274232 | + | 0.377448i | ||||
\(630\) | −113.781 | − | 100.003i | −0.180604 | − | 0.158735i | ||||
\(631\) | 385.309 | + | 279.944i | 0.610633 | + | 0.443651i | 0.849637 | − | 0.527368i | \(-0.176821\pi\) |
−0.239004 | + | 0.971019i | \(0.576821\pi\) | |||||||
\(632\) | −232.127 | − | 232.127i | −0.367290 | − | 0.367290i | ||||
\(633\) | −568.795 | + | 90.0883i | −0.898571 | + | 0.142320i | ||||
\(634\) | 227.731 | + | 73.9942i | 0.359197 | + | 0.116710i | ||||
\(635\) | −268.524 | + | 106.790i | −0.422872 | + | 0.168173i | ||||
\(636\) | −110.955 | − | 341.485i | −0.174458 | − | 0.536926i | ||||
\(637\) | 0.526562 | − | 0.268297i | 0.000826628 | − | 0.000421188i | ||||
\(638\) | −1.02702 | − | 2.01564i | −0.00160975 | − | 0.00315931i | ||||
\(639\) | −248.105 | + | 80.6142i | −0.388270 | + | 0.126157i | ||||
\(640\) | −43.5318 | + | 36.1246i | −0.0680184 | + | 0.0564446i | ||||
\(641\) | 76.8850 | − | 236.628i | 0.119945 | − | 0.369154i | −0.873001 | − | 0.487718i | \(-0.837829\pi\) |
0.992946 | + | 0.118565i | \(0.0378293\pi\) | |||||||
\(642\) | 73.9726 | + | 467.045i | 0.115222 | + | 0.727484i | ||||
\(643\) | −30.0966 | + | 30.0966i | −0.0468065 | + | 0.0468065i | −0.730123 | − | 0.683316i | \(-0.760537\pi\) |
0.683316 | + | 0.730123i | \(0.260537\pi\) | |||||||
\(644\) | −7.34791 | + | 10.1135i | −0.0114098 | + | 0.0157042i | ||||
\(645\) | −10.4338 | + | 112.204i | −0.0161764 | + | 0.173960i | ||||
\(646\) | 189.762 | − | 137.870i | 0.293749 | − | 0.213421i | ||||
\(647\) | −359.915 | − | 57.0049i | −0.556283 | − | 0.0881065i | −0.128038 | − | 0.991769i | \(-0.540868\pi\) |
−0.428245 | + | 0.903663i | \(0.640868\pi\) | |||||||
\(648\) | −22.6813 | − | 11.5567i | −0.0350020 | − | 0.0178344i | ||||
\(649\) | − | 129.600i | − | 0.199692i | ||||||
\(650\) | −1.34597 | − | 10.3993i | −0.00207073 | − | 0.0159990i | ||||
\(651\) | 484.557 | 0.744327 | ||||||||
\(652\) | 151.788 | − | 297.901i | 0.232804 | − | 0.456903i | ||||
\(653\) | −176.936 | + | 1117.13i | −0.270958 | + | 1.71076i | 0.358334 | + | 0.933593i | \(0.383345\pi\) |
−0.629293 | + | 0.777169i | \(0.716655\pi\) | |||||||
\(654\) | −8.26040 | − | 11.3695i | −0.0126306 | − | 0.0173845i | ||||
\(655\) | 260.669 | + | 1157.87i | 0.397968 | + | 1.76774i | ||||
\(656\) | 140.579 | + | 102.137i | 0.214297 | + | 0.155696i | ||||
\(657\) | 301.618 | + | 301.618i | 0.459083 | + | 0.459083i | ||||
\(658\) | −275.721 | + | 43.6699i | −0.419029 | + | 0.0663676i | ||||
\(659\) | 267.785 | + | 87.0086i | 0.406350 | + | 0.132031i | 0.505058 | − | 0.863085i | \(-0.331471\pi\) |
−0.0987079 | + | 0.995116i | \(0.531471\pi\) | |||||||
\(660\) | 7.01592 | + | 108.866i | 0.0106302 | + | 0.164948i | ||||
\(661\) | −224.352 | − | 690.484i | −0.339413 | − | 1.04461i | −0.964507 | − | 0.264057i | \(-0.914939\pi\) |
0.625094 | − | 0.780549i | \(-0.285061\pi\) | |||||||
\(662\) | 19.2388 | − | 9.80264i | 0.0290616 | − | 0.0148076i | ||||
\(663\) | −5.79473 | − | 11.3728i | −0.00874017 | − | 0.0171535i | ||||
\(664\) | 239.168 | − | 77.7104i | 0.360193 | − | 0.117034i | ||||
\(665\) | −201.429 | − | 127.400i | −0.302901 | − | 0.191580i | ||||
\(666\) | 15.4846 | − | 47.6568i | 0.0232502 | − | 0.0715568i | ||||
\(667\) | 0.0347761 | + | 0.219567i | 5.21380e−5 | + | 0.000329186i | ||||
\(668\) | 10.7886 | − | 10.7886i | 0.0161507 | − | 0.0161507i | ||||
\(669\) | 130.065 | − | 179.019i | 0.194417 | − | 0.267592i | ||||
\(670\) | 325.367 | + | 548.255i | 0.485622 | + | 0.818291i | ||||
\(671\) | 400.436 | − | 290.934i | 0.596775 | − | 0.433582i | ||||
\(672\) | 69.1049 | + | 10.9451i | 0.102835 | + | 0.0162874i | ||||
\(673\) | 404.407 | + | 206.056i | 0.600902 | + | 0.306175i | 0.727852 | − | 0.685734i | \(-0.240519\pi\) |
−0.126950 | + | 0.991909i | \(0.540519\pi\) | |||||||
\(674\) | − | 152.491i | − | 0.226247i | ||||||
\(675\) | 122.358 | + | 43.6304i | 0.181271 | + | 0.0646376i | ||||
\(676\) | −337.824 | −0.499740 | ||||||||
\(677\) | −249.622 | + | 489.911i | −0.368718 | + | 0.723650i | −0.998592 | − | 0.0530473i | \(-0.983107\pi\) |
0.629874 | + | 0.776697i | \(0.283107\pi\) | |||||||
\(678\) | 67.6933 | − | 427.399i | 0.0998427 | − | 0.630382i | ||||
\(679\) | 242.099 | + | 333.221i | 0.356553 | + | 0.490753i | ||||
\(680\) | 139.060 | − | 322.698i | 0.204500 | − | 0.474555i | ||||
\(681\) | −362.717 | − | 263.530i | −0.532625 | − | 0.386974i | ||||
\(682\) | −246.752 | − | 246.752i | −0.361806 | − | 0.361806i | ||||
\(683\) | −209.895 | + | 33.2441i | −0.307313 | + | 0.0486736i | −0.308186 | − | 0.951326i | \(-0.599722\pi\) |
0.000873363 | 1.00000i | \(0.499722\pi\) | ||||||||
\(684\) | −38.0913 | − | 12.3766i | −0.0556890 | − | 0.0180945i | ||||
\(685\) | 787.953 | + | 201.032i | 1.15030 | + | 0.293477i | ||||
\(686\) | 146.696 | + | 451.483i | 0.213842 | + | 0.658138i | ||||
\(687\) | 298.828 | − | 152.261i | 0.434976 | − | 0.221631i | ||||
\(688\) | −23.6295 | − | 46.3755i | −0.0343452 | − | 0.0674062i | ||||
\(689\) | −29.2374 | + | 9.49980i | −0.0424345 | + | 0.0137878i | ||||
\(690\) | 2.65020 | − | 10.3876i | 0.00384086 | − | 0.0150544i | ||||
\(691\) | −30.0740 | + | 92.5583i | −0.0435225 | + | 0.133948i | −0.970457 | − | 0.241276i | \(-0.922434\pi\) |
0.926934 | + | 0.375224i | \(0.122434\pi\) | |||||||
\(692\) | −46.2352 | − | 291.918i | −0.0668139 | − | 0.421846i | ||||
\(693\) | 95.4091 | − | 95.4091i | 0.137675 | − | 0.137675i | ||||
\(694\) | 124.361 | − | 171.168i | 0.179194 | − | 0.246640i | ||||
\(695\) | −266.757 | − | 114.953i | −0.383823 | − | 0.165401i | ||||
\(696\) | 1.00658 | − | 0.731325i | 0.00144624 | − | 0.00105075i | ||||
\(697\) | −1066.08 | − | 168.851i | −1.52953 | − | 0.242254i | ||||
\(698\) | 439.222 | + | 223.795i | 0.629258 | + | 0.320623i | ||||
\(699\) | 772.485i | 1.10513i | ||||||||
\(700\) | −356.902 | − | 10.1267i | −0.509860 | − | 0.0144667i | ||||
\(701\) | 821.932 | 1.17251 | 0.586257 | − | 0.810125i | \(-0.300601\pi\) | ||||
0.586257 | + | 0.810125i | \(0.300601\pi\) | |||||||
\(702\) | −0.989467 | + | 1.94194i | −0.00140950 | + | 0.00276629i | ||||
\(703\) | 12.3334 | − | 77.8701i | 0.0175440 | − | 0.110768i | ||||
\(704\) | −29.6168 | − | 40.7641i | −0.0420694 | − | 0.0579035i | ||||
\(705\) | 205.870 | − | 122.175i | 0.292014 | − | 0.173298i | ||||
\(706\) | 28.5592 | + | 20.7495i | 0.0404521 | + | 0.0293902i | ||||
\(707\) | 120.085 | + | 120.085i | 0.169851 | + | 0.169851i | ||||
\(708\) | 70.4022 | − | 11.1506i | 0.0994381 | − | 0.0157495i | ||||
\(709\) | 581.552 | + | 188.958i | 0.820242 | + | 0.266513i | 0.688930 | − | 0.724828i | \(-0.258081\pi\) |
0.131313 | + | 0.991341i | \(0.458081\pi\) | |||||||
\(710\) | −328.679 | + | 519.665i | −0.462928 | + | 0.731922i | ||||
\(711\) | −107.597 | − | 331.149i | −0.151332 | − | 0.465751i | ||||
\(712\) | 375.924 | − | 191.543i | 0.527984 | − | 0.269021i | ||||
\(713\) | 15.5682 | + | 30.5543i | 0.0218348 | + | 0.0428532i | ||||
\(714\) | −413.336 | + | 134.301i | −0.578902 | + | 0.188097i | ||||
\(715\) | 9.32090 | − | 0.600692i | 0.0130362 | − | 0.000840128i | ||||
\(716\) | 130.954 | − | 403.036i | 0.182897 | − | 0.562899i | ||||
\(717\) | 48.4490 | + | 305.895i | 0.0675718 | + | 0.426631i | ||||
\(718\) | 346.124 | − | 346.124i | 0.482066 | − | 0.482066i | ||||
\(719\) | 122.969 | − | 169.253i | 0.171028 | − | 0.235400i | −0.714895 | − | 0.699231i | \(-0.753526\pi\) |
0.885923 | + | 0.463832i | \(0.153526\pi\) | |||||||
\(720\) | −58.5350 | + | 13.1779i | −0.0812986 | + | 0.0183026i | ||||
\(721\) | −865.537 | + | 628.850i | −1.20047 | + | 0.872191i | ||||
\(722\) | 442.005 | + | 70.0068i | 0.612196 | + | 0.0969623i | ||||
\(723\) | 531.631 | + | 270.879i | 0.735313 | + | 0.374660i | ||||
\(724\) | 237.079i | 0.327457i | ||||||||
\(725\) | −4.61517 | + | 4.36050i | −0.00636575 | + | 0.00601448i | ||||
\(726\) | 199.217 | 0.274404 | ||||||||
\(727\) | −556.990 | + | 1093.15i | −0.766148 | + | 1.50365i | 0.0951014 | + | 0.995468i | \(0.469682\pi\) |
−0.861249 | + | 0.508182i | \(0.830318\pi\) | |||||||
\(728\) | 0.937106 | − | 5.91665i | 0.00128723 | − | 0.00812727i | ||||
\(729\) | −15.8702 | − | 21.8435i | −0.0217698 | − | 0.0299636i | ||||
\(730\) | 1001.07 | + | 93.0894i | 1.37133 | + | 0.127520i | ||||
\(731\) | 261.561 | + | 190.035i | 0.357813 | + | 0.259966i | ||||
\(732\) | 192.496 | + | 192.496i | 0.262972 | + | 0.262972i | ||||
\(733\) | 665.814 | − | 105.455i | 0.908341 | − | 0.143867i | 0.315256 | − | 0.949007i | \(-0.397910\pi\) |
0.593085 | + | 0.805140i | \(0.297910\pi\) | |||||||
\(734\) | −912.402 | − | 296.457i | −1.24305 | − | 0.403893i | ||||
\(735\) | 11.0197 | + | 13.2792i | 0.0149928 | + | 0.0180670i | ||||
\(736\) | 1.53010 | + | 4.70915i | 0.00207894 | + | 0.00639831i | ||||
\(737\) | −505.974 | + | 257.806i | −0.686531 | + | 0.349805i | ||||
\(738\) | 83.6731 | + | 164.218i | 0.113378 | + | 0.222517i | ||||
\(739\) | −387.790 | + | 126.001i | −0.524750 | + | 0.170502i | −0.559400 | − | 0.828898i | \(-0.688968\pi\) |
0.0346499 | + | 0.999400i | \(0.488968\pi\) | |||||||
\(740\) | −43.6461 | − | 109.748i | −0.0589813 | − | 0.148309i | ||||
\(741\) | −1.05967 | + | 3.26132i | −0.00143005 | + | 0.00440124i | ||||
\(742\) | 163.748 | + | 1033.86i | 0.220684 | + | 1.39335i | ||||
\(743\) | −125.226 | + | 125.226i | −0.168541 | + | 0.168541i | −0.786338 | − | 0.617797i | \(-0.788025\pi\) |
0.617797 | + | 0.786338i | \(0.288025\pi\) | |||||||
\(744\) | 112.812 | − | 155.272i | 0.151629 | − | 0.208699i | ||||
\(745\) | 77.0873 | − | 87.7076i | 0.103473 | − | 0.117728i | ||||
\(746\) | −155.783 | + | 113.183i | −0.208825 | + | 0.151720i | ||||
\(747\) | 263.447 | + | 41.7259i | 0.352673 | + | 0.0558579i | ||||
\(748\) | 278.875 | + | 142.094i | 0.372827 | + | 0.189965i | ||||
\(749\) | − | 1378.53i | − | 1.84049i | ||||||
\(750\) | 287.607 | − | 105.034i | 0.383476 | − | 0.140045i | ||||
\(751\) | −1206.41 | −1.60641 | −0.803205 | − | 0.595703i | \(-0.796873\pi\) | ||||
−0.803205 | + | 0.595703i | \(0.796873\pi\) | |||||||
\(752\) | −50.1982 | + | 98.5195i | −0.0667529 | + | 0.131010i | ||||
\(753\) | 37.1961 | − | 234.847i | 0.0493972 | − | 0.311882i | ||||
\(754\) | −0.0626149 | − | 0.0861821i | −8.30437e−5 | − | 0.000114300i | ||||
\(755\) | −733.860 | − | 644.999i | −0.972001 | − | 0.854303i | ||||
\(756\) | 60.0375 | + | 43.6198i | 0.0794147 | + | 0.0576982i | ||||
\(757\) | −146.809 | − | 146.809i | −0.193935 | − | 0.193935i | 0.603459 | − | 0.797394i | \(-0.293789\pi\) |
−0.797394 | + | 0.603459i | \(0.793789\pi\) | |||||||
\(758\) | −328.599 | + | 52.0449i | −0.433508 | + | 0.0686609i | ||||
\(759\) | 9.08152 | + | 2.95076i | 0.0119651 | + | 0.00388770i | ||||
\(760\) | −87.7201 | + | 34.8857i | −0.115421 | + | 0.0459022i | ||||
\(761\) | −283.523 | − | 872.594i | −0.372566 | − | 1.14664i | −0.945106 | − | 0.326764i | \(-0.894042\pi\) |
0.572539 | − | 0.819877i | \(-0.305958\pi\) | |||||||
\(762\) | 126.140 | − | 64.2717i | 0.165538 | − | 0.0843460i | ||||
\(763\) | 18.5997 | + | 36.5040i | 0.0243771 | + | 0.0478428i | ||||
\(764\) | 293.370 | − | 95.3216i | 0.383992 | − | 0.124767i | ||||
\(765\) | 286.808 | − | 238.006i | 0.374912 | − | 0.311118i | ||||
\(766\) | −200.241 | + | 616.280i | −0.261412 | + | 0.804542i | ||||
\(767\) | −0.954698 | − | 6.02772i | −0.00124472 | − | 0.00785883i | ||||
\(768\) | 19.5959 | − | 19.5959i | 0.0255155 | − | 0.0255155i | ||||
\(769\) | −416.092 | + | 572.701i | −0.541082 | + | 0.744735i | −0.988768 | − | 0.149456i | \(-0.952248\pi\) |
0.447687 | + | 0.894190i | \(0.352248\pi\) | |||||||
\(770\) | 29.4465 | − | 316.664i | 0.0382422 | − | 0.411252i | ||||
\(771\) | −331.071 | + | 240.537i | −0.429405 | + | 0.311981i | ||||
\(772\) | −270.221 | − | 42.7987i | −0.350027 | − | 0.0554388i | ||||
\(773\) | 65.7837 | + | 33.5185i | 0.0851019 | + | 0.0433616i | 0.496023 | − | 0.868309i | \(-0.334793\pi\) |
−0.410922 | + | 0.911671i | \(0.634793\pi\) | |||||||
\(774\) | − | 55.2057i | − | 0.0713252i | ||||||
\(775\) | −469.221 | + | 859.710i | −0.605447 | + | 1.10930i | ||||
\(776\) | 163.142 | 0.210235 | ||||||||
\(777\) | −66.3198 | + | 130.160i | −0.0853536 | + | 0.167516i | ||||
\(778\) | 3.79764 | − | 23.9773i | 0.00488128 | − | 0.0308192i | ||||
\(779\) | 170.447 | + | 234.600i | 0.218803 | + | 0.301156i | ||||
\(780\) | 1.12827 | + | 5.01167i | 0.00144650 | + | 0.00642522i | ||||
\(781\) | −443.093 | − | 321.926i | −0.567341 | − | 0.412197i | ||||
\(782\) | −21.7485 | − | 21.7485i | −0.0278114 | − | 0.0278114i | ||||
\(783\) | 1.30343 | − | 0.206443i | 0.00166466 | − | 0.000263657i | ||||
\(784\) | −7.58014 | − | 2.46294i | −0.00966855 | − | 0.00314150i | ||||
\(785\) | −69.2556 | − | 1074.63i | −0.0882237 | − | 1.36896i | ||||
\(786\) | −179.673 | − | 552.978i | −0.228592 | − | 0.703534i | ||||
\(787\) | −642.057 | + | 327.145i | −0.815829 | + | 0.415686i | −0.811534 | − | 0.584305i | \(-0.801367\pi\) |
−0.00429491 | + | 0.999991i | \(0.501367\pi\) | |||||||
\(788\) | −114.809 | − | 225.326i | −0.145697 | − | 0.285947i | ||||
\(789\) | 137.740 | − | 44.7544i | 0.174575 | − | 0.0567230i | ||||
\(790\) | −693.604 | − | 438.692i | −0.877980 | − | 0.555307i | ||||
\(791\) | −389.828 | + | 1199.77i | −0.492830 | + | 1.51677i | ||||
\(792\) | −8.36043 | − | 52.7857i | −0.0105561 | − | 0.0666486i | ||||
\(793\) | 16.4812 | − | 16.4812i | 0.0207833 | − | 0.0207833i | ||||
\(794\) | 474.569 | − | 653.189i | 0.597694 | − | 0.822656i | ||||
\(795\) | −458.116 | − | 771.944i | −0.576247 | − | 0.970998i | ||||
\(796\) | −304.855 | + | 221.490i | −0.382984 | + | 0.278254i | ||||
\(797\) | −1115.33 | − | 176.651i | −1.39941 | − | 0.221645i | −0.589296 | − | 0.807917i | \(-0.700595\pi\) |
−0.810114 | + | 0.586273i | \(0.800595\pi\) | |||||||
\(798\) | 104.035 | + | 53.0083i | 0.130369 | + | 0.0664265i | ||||
\(799\) | − | 686.830i | − | 0.859612i | ||||||
\(800\) | −86.3370 | + | 112.009i | −0.107921 | + | 0.140011i | ||||
\(801\) | 447.503 | 0.558680 | ||||||||
\(802\) | 249.411 | − | 489.497i | 0.310986 | − | 0.610345i | ||||
\(803\) | −140.092 | + | 884.505i | −0.174461 | + | 1.10150i | ||||
\(804\) | −183.580 | − | 252.677i | −0.228334 | − | 0.314274i | ||||
\(805\) | −12.3681 | + | 28.7010i | −0.0153641 | + | 0.0356535i | ||||
\(806\) | −13.2942 | − | 9.65877i | −0.0164940 | − | 0.0119836i | ||||
\(807\) | 131.703 | + | 131.703i | 0.163201 | + | 0.163201i | ||||
\(808\) | 66.4376 | − | 10.5227i | 0.0822247 | − | 0.0130231i | ||||
\(809\) | −818.752 | − | 266.029i | −1.01205 | − | 0.328836i | −0.244382 | − | 0.969679i | \(-0.578585\pi\) |
−0.767672 | + | 0.640843i | \(0.778585\pi\) | |||||||
\(810\) | −61.6643 | − | 15.7325i | −0.0761288 | − | 0.0194229i | ||||
\(811\) | 431.556 | + | 1328.19i | 0.532128 | + | 1.63772i | 0.749775 | + | 0.661693i | \(0.230162\pi\) |
−0.217647 | + | 0.976028i | \(0.569838\pi\) | |||||||
\(812\) | −3.23185 | + | 1.64671i | −0.00398011 | + | 0.00202797i | ||||
\(813\) | −113.680 | − | 223.110i | −0.139828 | − | 0.274427i | ||||
\(814\) | 100.054 | − | 32.5095i | 0.122916 | − | 0.0399379i | ||||
\(815\) | 206.634 | − | 809.911i | 0.253539 | − | 0.993756i | ||||
\(816\) | −53.1950 | + | 163.717i | −0.0651900 | + | 0.200634i | ||||
\(817\) | −13.5878 | − | 85.7898i | −0.0166313 | − | 0.105006i | ||||
\(818\) | −147.122 | + | 147.122i | −0.179856 | + | 0.179856i | ||||
\(819\) | 3.73466 | − | 5.14032i | 0.00456003 | − | 0.00627634i | ||||
\(820\) | 398.947 | + | 171.918i | 0.486521 | + | 0.209656i | ||||
\(821\) | −750.416 | + | 545.209i | −0.914027 | + | 0.664080i | −0.942030 | − | 0.335528i | \(-0.891085\pi\) |
0.0280029 | + | 0.999608i | \(0.491085\pi\) | |||||||
\(822\) | −393.477 | − | 62.3207i | −0.478683 | − | 0.0758159i | ||||
\(823\) | −1222.48 | − | 622.885i | −1.48540 | − | 0.756847i | −0.491893 | − | 0.870656i | \(-0.663695\pi\) |
−0.993503 | + | 0.113809i | \(0.963695\pi\) | |||||||
\(824\) | 423.760i | 0.514272i | ||||||||
\(825\) | 76.8872 | + | 261.666i | 0.0931966 | + | 0.317171i | ||||
\(826\) | −207.799 | −0.251573 | ||||||||
\(827\) | 387.229 | − | 759.981i | 0.468234 | − | 0.918961i | −0.529277 | − | 0.848449i | \(-0.677537\pi\) |
0.997511 | − | 0.0705117i | \(-0.0224632\pi\) | |||||||
\(828\) | −0.821571 | + | 5.18720i | −0.000992236 | + | 0.00626473i | ||||
\(829\) | −83.7870 | − | 115.323i | −0.101070 | − | 0.139111i | 0.755486 | − | 0.655164i | \(-0.227401\pi\) |
−0.856556 | + | 0.516053i | \(0.827401\pi\) | |||||||
\(830\) | 540.651 | − | 320.854i | 0.651387 | − | 0.386571i | ||||
\(831\) | −420.573 | − | 305.564i | −0.506105 | − | 0.367707i | ||||
\(832\) | −1.67777 | − | 1.67777i | −0.00201655 | − | 0.00201655i | ||||
\(833\) | 48.8989 | − | 7.74482i | 0.0587022 | − | 0.00929751i | ||||
\(834\) | 135.337 | + | 43.9735i | 0.162274 | + | 0.0527260i | ||||
\(835\) | 20.3892 | − | 32.2369i | 0.0244183 | − | 0.0386070i | ||||
\(836\) | −25.9843 | − | 79.9714i | −0.0310817 | − | 0.0956596i | ||||
\(837\) | 181.382 | − | 92.4186i | 0.216704 | − | 0.110416i | ||||
\(838\) | 439.455 | + | 862.480i | 0.524410 | + | 1.02921i | ||||
\(839\) | 1354.47 | − | 440.096i | 1.61439 | − | 0.524548i | 0.643783 | − | 0.765208i | \(-0.277364\pi\) |
0.970609 | + | 0.240661i | \(0.0773641\pi\) | |||||||
\(840\) | 174.554 | − | 11.2492i | 0.207802 | − | 0.0133919i | ||||
\(841\) | 259.863 | − | 799.777i | 0.308993 | − | 0.950984i | ||||
\(842\) | −4.49035 | − | 28.3510i | −0.00533296 | − | 0.0336710i | ||||
\(843\) | 657.145 | − | 657.145i | 0.779531 | − | 0.779531i | ||||
\(844\) | 390.863 | − | 537.976i | 0.463107 | − | 0.637413i | ||||
\(845\) | −823.939 | + | 185.492i | −0.975075 | + | 0.219517i | ||||
\(846\) | −94.8801 | + | 68.9344i | −0.112151 | + | 0.0814828i | ||||
\(847\) | −573.621 | − | 90.8527i | −0.677239 | − | 0.107264i | ||||
\(848\) | 369.416 | + | 188.227i | 0.435632 | + | 0.221965i | ||||
\(849\) | − | 147.403i | − | 0.173619i | ||||||
\(850\) | 161.975 | − | 863.400i | 0.190559 | − | 1.01577i | ||||
\(851\) | −10.3382 | −0.0121483 | ||||||||
\(852\) | 136.756 | − | 268.398i | 0.160511 | − | 0.315021i | ||||
\(853\) | 152.941 | − | 965.629i | 0.179297 | − | 1.13204i | −0.719765 | − | 0.694218i | \(-0.755750\pi\) |
0.899062 | − | 0.437821i | \(-0.144250\pi\) | |||||||
\(854\) | −466.480 | − | 642.054i | −0.546229 | − | 0.751820i | ||||
\(855\) | −99.6988 | − | 9.27095i | −0.116607 | − | 0.0108432i | ||||
\(856\) | −441.739 | − | 320.942i | −0.516050 | − | 0.374932i | ||||
\(857\) | 66.5667 | + | 66.5667i | 0.0776742 | + | 0.0776742i | 0.744877 | − | 0.667202i | \(-0.232508\pi\) |
−0.667202 | + | 0.744877i | \(0.732508\pi\) | |||||||
\(858\) | −4.51943 | + | 0.715807i | −0.00526740 | + | 0.000834274i | ||||
\(859\) | 1157.43 | + | 376.073i | 1.34742 | + | 0.437803i | 0.891824 | − | 0.452383i | \(-0.149426\pi\) |
0.455597 | + | 0.890186i | \(0.349426\pi\) | |||||||
\(860\) | −83.0951 | − | 100.133i | −0.0966222 | − | 0.116434i | ||||
\(861\) | −166.035 | − | 511.003i | −0.192840 | − | 0.593499i | ||||
\(862\) | 264.853 | − | 134.949i | 0.307254 | − | 0.156554i | ||||
\(863\) | −1.25863 | − | 2.47021i | −0.00145844 | − | 0.00286235i | 0.890276 | − | 0.455421i | \(-0.150511\pi\) |
−0.891735 | + | 0.452559i | \(0.850511\pi\) | |||||||
\(864\) | 27.9552 | − | 9.08321i | 0.0323556 | − | 0.0105130i | ||||
\(865\) | −273.051 | − | 686.588i | −0.315666 | − | 0.793743i | ||||
\(866\) | 123.348 | − | 379.626i | 0.142434 | − | 0.438368i | ||||
\(867\) | −88.9691 | − | 561.729i | −0.102617 | − | 0.647899i | ||||
\(868\) | −395.639 | + | 395.639i | −0.455805 | + | 0.455805i | ||||
\(869\) | 429.679 | − | 591.403i | 0.494453 | − | 0.680556i | ||||
\(870\) | 2.05346 | − | 2.33636i | 0.00236030 | − | 0.00268548i | ||||
\(871\) | −21.6338 | + | 15.7179i | −0.0248379 | + | 0.0180458i | ||||
\(872\) | 16.0277 | + | 2.53854i | 0.0183804 | + | 0.00291117i | ||||
\(873\) | 154.178 | + | 78.5578i | 0.176608 | + | 0.0899861i | ||||
\(874\) | 8.26313i | 0.00945439i | ||||||||
\(875\) | −876.028 | + | 171.268i | −1.00118 | + | 0.195735i | ||||
\(876\) | −492.539 | −0.562260 | ||||||||
\(877\) | −602.080 | + | 1181.65i | −0.686522 | + | 1.34738i | 0.239866 | + | 0.970806i | \(0.422896\pi\) |
−0.926388 | + | 0.376569i | \(0.877104\pi\) | |||||||
\(878\) | −120.645 | + | 761.724i | −0.137409 | + | 0.867567i | ||||
\(879\) | 75.7168 | + | 104.215i | 0.0861397 | + | 0.118561i | ||||
\(880\) | −94.6169 | − | 83.1599i | −0.107519 | − | 0.0944999i | ||||
\(881\) | 867.310 | + | 630.137i | 0.984460 | + | 0.715252i | 0.958701 | − | 0.284416i | \(-0.0917996\pi\) |
0.0257594 | + | 0.999668i | \(0.491800\pi\) | |||||||
\(882\) | −5.97767 | − | 5.97767i | −0.00677741 | − | 0.00677741i | ||||
\(883\) | 1076.71 | − | 170.534i | 1.21937 | − | 0.193130i | 0.486615 | − | 0.873617i | \(-0.338232\pi\) |
0.732760 | + | 0.680487i | \(0.238232\pi\) | |||||||
\(884\) | 14.0172 | + | 4.55447i | 0.0158566 | + | 0.00515212i | ||||
\(885\) | 165.585 | − | 65.8521i | 0.187102 | − | 0.0744092i | ||||
\(886\) | 179.109 | + | 551.241i | 0.202155 | + | 0.622168i | ||||
\(887\) | 927.623 | − | 472.647i | 1.04580 | − | 0.532861i | 0.155309 | − | 0.987866i | \(-0.450363\pi\) |
0.890489 | + | 0.455005i | \(0.150363\pi\) | |||||||
\(888\) | 26.2685 | + | 51.5548i | 0.0295816 | + | 0.0580572i | ||||
\(889\) | −392.516 | + | 127.536i | −0.441525 | + | 0.143460i | ||||
\(890\) | 811.691 | − | 673.577i | 0.912013 | − | 0.756828i | ||||
\(891\) | 17.5168 | − | 53.9112i | 0.0196597 | − | 0.0605064i | ||||
\(892\) | 39.9709 | + | 252.366i | 0.0448104 | + | 0.282922i | ||||
\(893\) | −130.477 | + | 130.477i | −0.146111 | + | 0.146111i | ||||
\(894\) | −33.6243 | + | 46.2798i | −0.0376110 | + | 0.0517672i | ||||
\(895\) | 98.0939 | − | 1054.89i | 0.109602 | − | 1.17865i | ||||
\(896\) | −65.3606 | + | 47.4873i | −0.0729471 | + | 0.0529992i | ||||
\(897\) | 0.444120 | + | 0.0703416i | 0.000495117 | + | 7.84188e-5i | ||||
\(898\) | −769.762 | − | 392.214i | −0.857196 | − | 0.436763i | ||||
\(899\) | 9.94986i | 0.0110677i | ||||||||
\(900\) | −135.529 | + | 64.2805i | −0.150587 | + | 0.0714228i | ||||
\(901\) | −2575.39 | −2.85836 | ||||||||
\(902\) | −175.669 | + | 344.769i | −0.194755 | + | 0.382228i | ||||
\(903\) | −25.1764 | + | 158.958i | −0.0278809 | + | 0.176033i | ||||
\(904\) | 293.698 | + | 404.241i | 0.324888 | + | 0.447169i | ||||
\(905\) | 130.175 | + | 578.225i | 0.143839 | + | 0.638923i | ||||
\(906\) | 387.229 | + | 281.339i | 0.427405 | + | 0.310528i | ||||
\(907\) | 634.145 | + | 634.145i | 0.699168 | + | 0.699168i | 0.964231 | − | 0.265063i | \(-0.0853929\pi\) |
−0.265063 | + | 0.964231i | \(0.585393\pi\) | |||||||
\(908\) | 511.328 | − | 80.9865i | 0.563137 | − | 0.0891922i | ||||
\(909\) | 67.8541 | + | 22.0471i | 0.0746470 | + | 0.0242543i | ||||
\(910\) | −0.963141 | − | 14.9450i | −0.00105840 | − | 0.0164231i | ||||
\(911\) | −211.111 | − | 649.731i | −0.231735 | − | 0.713207i | −0.997538 | − | 0.0701314i | \(-0.977658\pi\) |
0.765803 | − | 0.643075i | \(-0.222342\pi\) | |||||||
\(912\) | 41.2069 | − | 20.9960i | 0.0451830 | − | 0.0230219i | ||||
\(913\) | 254.231 | + | 498.956i | 0.278457 | + | 0.546502i | ||||
\(914\) | −132.357 | + | 43.0055i | −0.144811 | + | 0.0470520i | ||||
\(915\) | 575.184 | + | 363.794i | 0.628616 | + | 0.397589i | ||||
\(916\) | −119.672 | + | 368.313i | −0.130646 | + | 0.402088i | ||||
\(917\) | 265.162 | + | 1674.17i | 0.289163 | + | 1.82570i | ||||
\(918\) | −129.107 | + | 129.107i | −0.140639 | + | 0.140639i | ||||
\(919\) | 165.840 | − | 228.259i | 0.180457 | − | 0.248377i | −0.709200 | − | 0.705007i | \(-0.750944\pi\) |
0.889657 | + | 0.456630i | \(0.150944\pi\) | |||||||
\(920\) | 6.31753 | + | 10.6453i | 0.00686688 | + | 0.0115710i | ||||
\(921\) | −266.937 | + | 193.941i | −0.289834 | + | 0.210577i | ||||
\(922\) | −284.844 | − | 45.1148i | −0.308941 | − | 0.0489315i | ||||
\(923\) | −22.9798 | − | 11.7088i | −0.0248969 | − | 0.0126856i | ||||
\(924\) | 155.802i | 0.168617i | ||||||||
\(925\) | −166.711 | − | 243.706i | −0.180229 | − | 0.263466i | ||||
\(926\) | −1133.14 | −1.22370 | ||||||||
\(927\) | −204.053 | + | 400.476i | −0.220122 | + | 0.432013i | ||||
\(928\) | −0.224747 | + | 1.41900i | −0.000242184 | + | 0.00152909i | ||||
\(929\) | 614.668 | + | 846.018i | 0.661645 | + | 0.910676i | 0.999534 | − | 0.0305100i | \(-0.00971314\pi\) |
−0.337890 | + | 0.941186i | \(0.609713\pi\) | |||||||
\(930\) | 189.887 | − | 440.645i | 0.204179 | − | 0.473812i | ||||
\(931\) | −10.7606 | − | 7.81804i | −0.0115581 | − | 0.00839747i | ||||
\(932\) | −630.731 | − | 630.731i | −0.676750 | − | 0.676750i | ||||
\(933\) | −183.955 | + | 29.1356i | −0.197165 | + | 0.0312279i | ||||
\(934\) | −971.757 | − | 315.743i | −1.04042 | − | 0.338054i | ||||
\(935\) | 758.184 | + | 193.437i | 0.810892 | + | 0.206884i | ||||
\(936\) | −0.777690 | − | 2.39348i | −0.000830865 | − | 0.00255714i | ||||
\(937\) | 948.239 | − | 483.152i | 1.01199 | − | 0.515637i | 0.132317 | − | 0.991207i | \(-0.457758\pi\) |
0.879677 | + | 0.475571i | \(0.157758\pi\) | |||||||
\(938\) | 413.363 | + | 811.271i | 0.440686 | + | 0.864895i | ||||
\(939\) | −792.567 | + | 257.521i | −0.844055 | + | 0.274250i | ||||
\(940\) | −68.3364 | + | 267.848i | −0.0726983 | + | 0.284944i | ||||
\(941\) | −104.126 | + | 320.466i | −0.110654 | + | 0.340559i | −0.991016 | − | 0.133744i | \(-0.957300\pi\) |
0.880362 | + | 0.474303i | \(0.157300\pi\) | |||||||
\(942\) | 82.5275 | + | 521.058i | 0.0876089 | + | 0.553141i | ||||
\(943\) | 26.8874 | − | 26.8874i | 0.0285127 | − | 0.0285127i | ||||
\(944\) | −48.3787 | + | 66.5876i | −0.0512486 | + | 0.0705377i | ||||
\(945\) | 170.380 | + | 73.4216i | 0.180296 | + | 0.0776948i | ||||
\(946\) | 93.7670 | − | 68.1257i | 0.0991195 | − | 0.0720145i | ||||
\(947\) | −535.886 | − | 84.8760i | −0.565877 | − | 0.0896262i | −0.133060 | − | 0.991108i | \(-0.542480\pi\) |
−0.432817 | + | 0.901482i | \(0.642480\pi\) | |||||||
\(948\) | 358.234 | + | 182.530i | 0.377884 | + | 0.192542i | ||||
\(949\) | 42.1704i | 0.0444367i | ||||||||
\(950\) | −194.791 | + | 133.250i | −0.205043 | + | 0.140263i | ||||
\(951\) | −293.266 | −0.308376 | ||||||||
\(952\) | 227.831 | − | 447.144i | 0.239319 | − | 0.469689i | ||||
\(953\) | −0.852072 | + | 5.37977i | −0.000894095 | + | 0.00564509i | −0.988131 | − | 0.153611i | \(-0.950910\pi\) |
0.987237 | + | 0.159256i | \(0.0509096\pi\) | |||||||
\(954\) | 258.481 | + | 355.769i | 0.270945 | + | 0.372924i | ||||
\(955\) | 663.178 | − | 393.568i | 0.694427 | − | 0.412113i | ||||
\(956\) | −289.320 | − | 210.204i | −0.302636 | − | 0.219878i | ||||
\(957\) | 1.95912 | + | 1.95912i | 0.00204715 | + | 0.00204715i | ||||
\(958\) | 19.9572 | − | 3.16091i | 0.0208322 | − | 0.00329949i | ||||
\(959\) | 1104.55 | + | 358.889i | 1.15177 | + | 0.374232i | ||||
\(960\) | 37.0339 | − | 58.5533i | 0.0385770 | − | 0.0609930i | ||||
\(961\) | 177.324 | + | 545.747i | 0.184520 | + | 0.567895i | ||||
\(962\) | 4.41404 | − | 2.24906i | 0.00458840 | − | 0.00233790i | ||||
\(963\) | −262.924 | − | 516.018i | −0.273026 | − | 0.535844i | ||||
\(964\) | −655.247 | + | 212.903i | −0.679717 | + | 0.220853i | ||||
\(965\) | −682.556 | + | 43.9878i | −0.707312 | + | 0.0455832i | ||||
\(966\) | 4.73122 | − | 14.5612i | 0.00489774 | − | 0.0150737i | ||||
\(967\) | 210.889 | + | 1331.50i | 0.218086 | + | 1.37694i | 0.817237 | + | 0.576302i | \(0.195505\pi\) |
−0.599151 | + | 0.800636i | \(0.704495\pi\) | |||||||
\(968\) | −162.660 | + | 162.660i | −0.168038 | + | 0.168038i | ||||
\(969\) | −168.856 | + | 232.410i | −0.174258 | + | 0.239845i | ||||
\(970\) | 397.897 | − | 89.5778i | 0.410203 | − | 0.0923482i | ||||
\(971\) | 1017.36 | − | 739.156i | 1.04775 | − | 0.761231i | 0.0759629 | − | 0.997111i | \(-0.475797\pi\) |
0.971782 | + | 0.235879i | \(0.0757970\pi\) | |||||||
\(972\) | 30.7931 | + | 4.87714i | 0.0316801 | + | 0.00501764i | ||||
\(973\) | −369.630 | − | 188.336i | −0.379887 | − | 0.193562i | ||||
\(974\) | − | 642.091i | − | 0.659231i | ||||||
\(975\) | 5.50360 | + | 11.6037i | 0.00564471 | + | 0.0119013i | ||||
\(976\) | −314.344 | −0.322074 | ||||||||
\(977\) | −480.686 | + | 943.399i | −0.492002 | + | 0.965608i | 0.502860 | + | 0.864368i | \(0.332281\pi\) |
−0.994862 | + | 0.101240i | \(0.967719\pi\) | |||||||
\(978\) | −64.0573 | + | 404.442i | −0.0654983 | + | 0.413540i | ||||
\(979\) | 552.234 | + | 760.085i | 0.564080 | + | 0.776389i | ||||
\(980\) | −19.8400 | − | 1.84491i | −0.0202449 | − | 0.00188256i | ||||
\(981\) | 13.9247 | + | 10.1169i | 0.0141944 | + | 0.0103128i | ||||
\(982\) | 9.51031 | + | 9.51031i | 0.00968463 | + | 0.00968463i | ||||
\(983\) | 1170.76 | − | 185.431i | 1.19101 | − | 0.188638i | 0.470703 | − | 0.882292i | \(-0.344000\pi\) |
0.720309 | + | 0.693654i | \(0.244000\pi\) | |||||||
\(984\) | −202.402 | − | 65.7644i | −0.205693 | − | 0.0668337i | ||||
\(985\) | −403.737 | − | 486.522i | −0.409885 | − | 0.493931i | ||||
\(986\) | −2.75773 | − | 8.48742i | −0.00279689 | − | 0.00860793i | ||||
\(987\) | 304.633 | − | 155.218i | 0.308645 | − | 0.157262i | ||||
\(988\) | −1.79764 | − | 3.52807i | −0.00181947 | − | 0.00357092i | ||||
\(989\) | −10.8322 | + | 3.51958i | −0.0109526 | + | 0.00355873i | ||||
\(990\) | −49.3742 | − | 124.152i | −0.0498729 | − | 0.125406i | ||||
\(991\) | 27.3216 | − | 84.0873i | 0.0275698 | − | 0.0848510i | −0.936325 | − | 0.351135i | \(-0.885796\pi\) |
0.963895 | + | 0.266284i | \(0.0857959\pi\) | |||||||
\(992\) | 34.6687 | + | 218.890i | 0.0349483 | + | 0.220655i | ||||
\(993\) | −18.6994 | + | 18.6994i | −0.0188312 | + | 0.0188312i | ||||
\(994\) | −516.172 | + | 710.450i | −0.519288 | + | 0.714739i | ||||
\(995\) | −621.914 | + | 707.595i | −0.625039 | + | 0.711150i | ||||
\(996\) | −249.172 | + | 181.034i | −0.250173 | + | 0.181761i | ||||
\(997\) | 652.213 | + | 103.300i | 0.654176 | + | 0.103611i | 0.474695 | − | 0.880150i | \(-0.342558\pi\) |
0.179480 | + | 0.983762i | \(0.442558\pi\) | |||||||
\(998\) | −322.673 | − | 164.410i | −0.323319 | − | 0.164739i | ||||
\(999\) | 61.3711i | 0.0614326i |
(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 | 150.3.k.a.67.1 | ✓ | 32 | |
25.3 | odd | 20 | inner | 150.3.k.a.103.1 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.3.k.a.67.1 | ✓ | 32 | 1.1 | even | 1 | trivial | |
150.3.k.a.103.1 | yes | 32 | 25.3 | odd | 20 | inner |