Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.g (of order \(27\), degree \(18\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 58.8 | ||
Character | \(\chi\) | \(=\) | 81.58 |
Dual form | 81.2.g.a.7.8 |
$q$-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 \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{19}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.55705 | − | 2.09149i | 1.10100 | − | 1.47890i | 0.239675 | − | 0.970853i | \(-0.422959\pi\) |
0.861327 | − | 0.508050i | \(-0.169634\pi\) | |||||||
\(3\) | −1.63477 | + | 0.572310i | −0.943833 | + | 0.330423i | ||||
\(4\) | −1.37629 | − | 4.59713i | −0.688145 | − | 2.29856i | ||||
\(5\) | −0.270787 | − | 0.178099i | −0.121100 | − | 0.0796485i | 0.487514 | − | 0.873115i | \(-0.337904\pi\) |
−0.608614 | + | 0.793467i | \(0.708274\pi\) | |||||||
\(6\) | −1.34844 | + | 4.31021i | −0.550498 | + | 1.75963i | ||||
\(7\) | 2.64546 | + | 2.80403i | 0.999891 | + | 1.05982i | 0.998209 | + | 0.0598235i | \(0.0190538\pi\) |
0.00168159 | + | 0.999999i | \(0.499465\pi\) | |||||||
\(8\) | −6.85740 | − | 2.49589i | −2.42446 | − | 0.882430i | ||||
\(9\) | 2.34492 | − | 1.87119i | 0.781641 | − | 0.623729i | ||||
\(10\) | −0.794122 | + | 0.289037i | −0.251123 | + | 0.0914014i | ||||
\(11\) | 1.12552 | + | 0.565257i | 0.339357 | + | 0.170431i | 0.610313 | − | 0.792160i | \(-0.291044\pi\) |
−0.270956 | + | 0.962592i | \(0.587340\pi\) | |||||||
\(12\) | 4.88089 | + | 6.72756i | 1.40899 | + | 1.94208i | ||||
\(13\) | −1.55767 | + | 3.61109i | −0.432020 | + | 1.00154i | 0.553634 | + | 0.832760i | \(0.313241\pi\) |
−0.985655 | + | 0.168775i | \(0.946019\pi\) | |||||||
\(14\) | 9.98370 | − | 1.16693i | 2.66826 | − | 0.311874i | ||||
\(15\) | 0.544602 | + | 0.136177i | 0.140616 | + | 0.0351607i | ||||
\(16\) | −7.87890 | + | 5.18204i | −1.96973 | + | 1.29551i | ||||
\(17\) | −3.68665 | − | 3.09347i | −0.894145 | − | 0.750277i | 0.0748921 | − | 0.997192i | \(-0.476139\pi\) |
−0.969037 | + | 0.246915i | \(0.920583\pi\) | |||||||
\(18\) | −0.262390 | − | 7.81791i | −0.0618459 | − | 1.84270i | ||||
\(19\) | −3.47862 | + | 2.91891i | −0.798050 | + | 0.669644i | −0.947724 | − | 0.319092i | \(-0.896622\pi\) |
0.149673 | + | 0.988735i | \(0.452178\pi\) | |||||||
\(20\) | −0.446064 | + | 1.48996i | −0.0997430 | + | 0.333165i | ||||
\(21\) | −5.92948 | − | 3.06990i | −1.29392 | − | 0.669908i | ||||
\(22\) | 2.93472 | − | 1.47387i | 0.625684 | − | 0.314230i | ||||
\(23\) | 0.385450 | − | 0.408553i | 0.0803718 | − | 0.0851892i | −0.685939 | − | 0.727659i | \(-0.740609\pi\) |
0.766311 | + | 0.642469i | \(0.222090\pi\) | |||||||
\(24\) | 12.6387 | + | 0.155637i | 2.57986 | + | 0.0317694i | ||||
\(25\) | −1.93879 | − | 4.49463i | −0.387759 | − | 0.898925i | ||||
\(26\) | 5.12716 | + | 8.88050i | 1.00552 | + | 1.74161i | ||||
\(27\) | −2.76250 | + | 4.40098i | −0.531644 | + | 0.846968i | ||||
\(28\) | 9.24954 | − | 16.0207i | 1.74800 | − | 3.02762i | ||||
\(29\) | 2.11898 | + | 0.247673i | 0.393484 | + | 0.0459917i | 0.310535 | − | 0.950562i | \(-0.399492\pi\) |
0.0829493 | + | 0.996554i | \(0.473566\pi\) | |||||||
\(30\) | 1.13279 | − | 0.926991i | 0.206817 | − | 0.169245i | ||||
\(31\) | 3.69897 | + | 0.876672i | 0.664354 | + | 0.157455i | 0.548939 | − | 0.835862i | \(-0.315032\pi\) |
0.115415 | + | 0.993317i | \(0.463180\pi\) | |||||||
\(32\) | −0.581095 | + | 9.97701i | −0.102724 | + | 1.76370i | ||||
\(33\) | −2.16346 | − | 0.279917i | −0.376610 | − | 0.0487273i | ||||
\(34\) | −12.2103 | + | 2.89389i | −2.09404 | + | 0.496297i | ||||
\(35\) | −0.216961 | − | 1.23045i | −0.0366732 | − | 0.207984i | ||||
\(36\) | −11.8294 | − | 8.20461i | −1.97156 | − | 1.36744i | ||||
\(37\) | −0.248079 | + | 1.40693i | −0.0407839 | + | 0.231297i | −0.998386 | − | 0.0567981i | \(-0.981911\pi\) |
0.957602 | + | 0.288095i | \(0.0930220\pi\) | |||||||
\(38\) | 0.688459 | + | 11.8204i | 0.111683 | + | 1.91752i | ||||
\(39\) | 0.479767 | − | 6.79475i | 0.0768242 | − | 1.08803i | ||||
\(40\) | 1.41238 | + | 1.89715i | 0.223317 | + | 0.299966i | ||||
\(41\) | −5.63875 | − | 7.57416i | −0.880625 | − | 1.18289i | −0.982159 | − | 0.188053i | \(-0.939782\pi\) |
0.101533 | − | 0.994832i | \(-0.467625\pi\) | |||||||
\(42\) | −15.6532 | + | 7.62143i | −2.41534 | + | 1.17601i | ||||
\(43\) | 0.210389 | + | 3.61224i | 0.0320840 | + | 0.550861i | 0.975603 | + | 0.219543i | \(0.0704565\pi\) |
−0.943519 | + | 0.331319i | \(0.892506\pi\) | |||||||
\(44\) | 1.04952 | − | 5.95211i | 0.158221 | − | 0.897314i | ||||
\(45\) | −0.968232 | + | 0.0890637i | −0.144335 | + | 0.0132768i | ||||
\(46\) | −0.254317 | − | 1.44230i | −0.0374969 | − | 0.212656i | ||||
\(47\) | 3.70075 | − | 0.877094i | 0.539810 | − | 0.127937i | 0.0483385 | − | 0.998831i | \(-0.484607\pi\) |
0.491471 | + | 0.870894i | \(0.336459\pi\) | |||||||
\(48\) | 9.91443 | − | 12.9806i | 1.43103 | − | 1.87359i | ||||
\(49\) | −0.457078 | + | 7.84773i | −0.0652969 | + | 1.12110i | ||||
\(50\) | −12.4192 | − | 2.94342i | −1.75635 | − | 0.416262i | ||||
\(51\) | 7.79724 | + | 2.94719i | 1.09183 | + | 0.412689i | ||||
\(52\) | 18.7444 | + | 2.19091i | 2.59939 | + | 0.303825i | ||||
\(53\) | −3.57369 | + | 6.18982i | −0.490884 | + | 0.850237i | −0.999945 | − | 0.0104941i | \(-0.996660\pi\) |
0.509061 | + | 0.860731i | \(0.329993\pi\) | |||||||
\(54\) | 4.90321 | + | 12.6303i | 0.667243 | + | 1.71876i | ||||
\(55\) | −0.204104 | − | 0.353518i | −0.0275214 | − | 0.0476684i | ||||
\(56\) | −11.1425 | − | 25.8311i | −1.48897 | − | 3.45183i | ||||
\(57\) | 4.01621 | − | 6.76258i | 0.531960 | − | 0.895726i | ||||
\(58\) | 3.81736 | − | 4.04617i | 0.501244 | − | 0.531288i | ||||
\(59\) | 5.22384 | − | 2.62351i | 0.680086 | − | 0.341552i | −0.0749947 | − | 0.997184i | \(-0.523894\pi\) |
0.755081 | + | 0.655632i | \(0.227598\pi\) | |||||||
\(60\) | −0.123507 | − | 2.69102i | −0.0159447 | − | 0.347409i | ||||
\(61\) | 2.64794 | − | 8.84474i | 0.339034 | − | 1.13245i | −0.603225 | − | 0.797571i | \(-0.706118\pi\) |
0.942260 | − | 0.334883i | \(-0.108697\pi\) | |||||||
\(62\) | 7.59304 | − | 6.37131i | 0.964317 | − | 0.809158i | ||||
\(63\) | 11.4503 | + | 1.62507i | 1.44260 | + | 0.204740i | ||||
\(64\) | 5.51392 | + | 4.62673i | 0.689240 | + | 0.578341i | ||||
\(65\) | 1.06493 | − | 0.700415i | 0.132088 | − | 0.0868758i | ||||
\(66\) | −3.95407 | + | 4.08900i | −0.486712 | + | 0.503321i | ||||
\(67\) | −0.214231 | + | 0.0250400i | −0.0261725 | + | 0.00305913i | −0.129169 | − | 0.991623i | \(-0.541231\pi\) |
0.102997 | + | 0.994682i | \(0.467157\pi\) | |||||||
\(68\) | −9.14717 | + | 21.2055i | −1.10926 | + | 2.57155i | ||||
\(69\) | −0.396301 | + | 0.888485i | −0.0477091 | + | 0.106961i | ||||
\(70\) | −2.91129 | − | 1.46210i | −0.347965 | − | 0.174755i | ||||
\(71\) | −11.2063 | + | 4.07874i | −1.32994 | + | 0.484058i | −0.906629 | − | 0.421928i | \(-0.861354\pi\) |
−0.423308 | + | 0.905986i | \(0.639131\pi\) | |||||||
\(72\) | −20.7503 | + | 6.97881i | −2.44545 | + | 0.822460i | ||||
\(73\) | 7.37938 | + | 2.68588i | 0.863691 | + | 0.314358i | 0.735610 | − | 0.677406i | \(-0.236896\pi\) |
0.128082 | + | 0.991764i | \(0.459118\pi\) | |||||||
\(74\) | 2.55629 | + | 2.70951i | 0.297163 | + | 0.314974i | ||||
\(75\) | 5.74179 | + | 6.23807i | 0.663005 | + | 0.720311i | ||||
\(76\) | 18.2062 | + | 11.9744i | 2.08839 | + | 1.37356i | ||||
\(77\) | 1.39252 | + | 4.65135i | 0.158693 | + | 0.530070i | ||||
\(78\) | −13.4641 | − | 11.5832i | −1.52451 | − | 1.31154i | ||||
\(79\) | 4.98085 | − | 6.69044i | 0.560389 | − | 0.752733i | −0.428149 | − | 0.903708i | \(-0.640834\pi\) |
0.988538 | + | 0.150975i | \(0.0482414\pi\) | |||||||
\(80\) | 3.05642 | 0.341718 | ||||||||
\(81\) | 1.99732 | − | 8.77557i | 0.221925 | − | 0.975064i | ||||
\(82\) | −24.6211 | −2.71894 | ||||||||
\(83\) | 0.396004 | − | 0.531925i | 0.0434670 | − | 0.0583864i | −0.779858 | − | 0.625956i | \(-0.784709\pi\) |
0.823325 | + | 0.567570i | \(0.192116\pi\) | |||||||
\(84\) | −5.95205 | + | 31.4837i | −0.649421 | + | 3.43515i | ||||
\(85\) | 0.447353 | + | 1.49426i | 0.0485222 | + | 0.162076i | ||||
\(86\) | 7.88253 | + | 5.18442i | 0.849995 | + | 0.559051i | ||||
\(87\) | −3.60578 | + | 0.807824i | −0.386580 | + | 0.0866078i | ||||
\(88\) | −6.30731 | − | 6.68536i | −0.672362 | − | 0.712662i | ||||
\(89\) | 1.56940 | + | 0.571214i | 0.166356 | + | 0.0605486i | 0.423856 | − | 0.905730i | \(-0.360676\pi\) |
−0.257500 | + | 0.966278i | \(0.582899\pi\) | |||||||
\(90\) | −1.32131 | + | 2.16372i | −0.139279 | + | 0.228076i | ||||
\(91\) | −14.2463 | + | 5.18524i | −1.49342 | + | 0.543561i | ||||
\(92\) | −2.40866 | − | 1.20967i | −0.251120 | − | 0.126117i | ||||
\(93\) | −6.54868 | + | 0.683804i | −0.679066 | + | 0.0709071i | ||||
\(94\) | 3.92784 | − | 9.10575i | 0.405125 | − | 0.939186i | ||||
\(95\) | 1.46182 | − | 0.170862i | 0.149980 | − | 0.0175301i | ||||
\(96\) | −4.75999 | − | 16.6427i | −0.485815 | − | 1.69858i | ||||
\(97\) | 13.4681 | − | 8.85812i | 1.36748 | − | 0.899405i | 0.367943 | − | 0.929848i | \(-0.380062\pi\) |
0.999537 | + | 0.0304429i | \(0.00969178\pi\) | |||||||
\(98\) | 15.7017 | + | 13.1753i | 1.58611 | + | 1.33091i | ||||
\(99\) | 3.69695 | − | 0.780572i | 0.371558 | − | 0.0784504i | ||||
\(100\) | −17.9940 | + | 15.0988i | −1.79940 | + | 1.50988i | ||||
\(101\) | −0.991482 | + | 3.31178i | −0.0986562 | + | 0.329535i | −0.993042 | − | 0.117762i | \(-0.962428\pi\) |
0.894386 | + | 0.447297i | \(0.147613\pi\) | |||||||
\(102\) | 18.3047 | − | 11.7189i | 1.81244 | − | 1.16034i | ||||
\(103\) | −5.55153 | + | 2.78808i | −0.547009 | + | 0.274718i | −0.700767 | − | 0.713390i | \(-0.747159\pi\) |
0.153758 | + | 0.988109i | \(0.450862\pi\) | |||||||
\(104\) | 19.6944 | − | 20.8749i | 1.93120 | − | 2.04695i | ||||
\(105\) | 1.05888 | + | 1.88733i | 0.103336 | + | 0.184184i | ||||
\(106\) | 7.38148 | + | 17.1122i | 0.716953 | + | 1.66208i | ||||
\(107\) | −0.773565 | − | 1.33985i | −0.0747833 | − | 0.129529i | 0.826209 | − | 0.563364i | \(-0.190493\pi\) |
−0.900992 | + | 0.433836i | \(0.857160\pi\) | |||||||
\(108\) | 24.0338 | + | 6.64255i | 2.31266 | + | 0.639180i | ||||
\(109\) | 6.28071 | − | 10.8785i | 0.601583 | − | 1.04197i | −0.390998 | − | 0.920391i | \(-0.627870\pi\) |
0.992581 | − | 0.121581i | \(-0.0387965\pi\) | |||||||
\(110\) | −1.05718 | − | 0.123566i | −0.100798 | − | 0.0117816i | ||||
\(111\) | −0.399647 | − | 2.44197i | −0.0379328 | − | 0.231782i | ||||
\(112\) | −35.3739 | − | 8.38377i | −3.34252 | − | 0.792192i | ||||
\(113\) | −1.13750 | + | 19.5301i | −0.107007 | + | 1.83724i | 0.337343 | + | 0.941382i | \(0.390472\pi\) |
−0.444350 | + | 0.895853i | \(0.646565\pi\) | |||||||
\(114\) | −7.89039 | − | 18.9295i | −0.739003 | − | 1.77291i | ||||
\(115\) | −0.177138 | + | 0.0419824i | −0.0165182 | + | 0.00391488i | ||||
\(116\) | −1.77774 | − | 10.0821i | −0.165059 | − | 0.936097i | ||||
\(117\) | 3.10440 | + | 11.3824i | 0.287002 | + | 1.05230i | ||||
\(118\) | 2.64676 | − | 15.0105i | 0.243654 | − | 1.38183i | ||||
\(119\) | −1.07873 | − | 18.5211i | −0.0988873 | − | 1.69783i | ||||
\(120\) | −3.39467 | − | 2.29308i | −0.309889 | − | 0.209329i | ||||
\(121\) | −5.62147 | − | 7.55094i | −0.511043 | − | 0.686449i | ||||
\(122\) | −14.3757 | − | 19.3099i | −1.30151 | − | 1.74823i | ||||
\(123\) | 13.5528 | + | 9.15487i | 1.22202 | + | 0.825467i | ||||
\(124\) | −1.06068 | − | 18.2112i | −0.0952519 | − | 1.63541i | ||||
\(125\) | −0.556893 | + | 3.15830i | −0.0498100 | + | 0.282487i | ||||
\(126\) | 21.2275 | − | 21.4177i | 1.89109 | − | 1.90804i | ||||
\(127\) | 0.0822160 | + | 0.466270i | 0.00729549 | + | 0.0413748i | 0.988238 | − | 0.152922i | \(-0.0488685\pi\) |
−0.980943 | + | 0.194297i | \(0.937757\pi\) | |||||||
\(128\) | −1.18687 | + | 0.281293i | −0.104905 | + | 0.0248630i | ||||
\(129\) | −2.41126 | − | 5.78476i | −0.212299 | − | 0.509320i | ||||
\(130\) | 0.193244 | − | 3.31787i | 0.0169486 | − | 0.290996i | ||||
\(131\) | −6.81702 | − | 1.61566i | −0.595606 | − | 0.141161i | −0.0782533 | − | 0.996934i | \(-0.524934\pi\) |
−0.517353 | + | 0.855772i | \(0.673082\pi\) | |||||||
\(132\) | 1.69074 | + | 10.3310i | 0.147160 | + | 0.899194i | ||||
\(133\) | −17.3873 | − | 2.03228i | −1.50767 | − | 0.176221i | ||||
\(134\) | −0.281198 | + | 0.487050i | −0.0242918 | + | 0.0420747i | ||||
\(135\) | 1.53186 | − | 0.699727i | 0.131842 | − | 0.0602229i | ||||
\(136\) | 17.5599 | + | 30.4146i | 1.50575 | + | 2.60803i | ||||
\(137\) | 7.86676 | + | 18.2372i | 0.672103 | + | 1.55811i | 0.822050 | + | 0.569416i | \(0.192830\pi\) |
−0.149947 | + | 0.988694i | \(0.547910\pi\) | |||||||
\(138\) | 1.24119 | + | 2.21228i | 0.105657 | + | 0.188322i | ||||
\(139\) | −10.6118 | + | 11.2479i | −0.900085 | + | 0.954035i | −0.999157 | − | 0.0410457i | \(-0.986931\pi\) |
0.0990721 | + | 0.995080i | \(0.468413\pi\) | |||||||
\(140\) | −5.35793 | + | 2.69085i | −0.452828 | + | 0.227419i | ||||
\(141\) | −5.54789 | + | 3.55182i | −0.467217 | + | 0.299117i | ||||
\(142\) | −8.91810 | + | 29.7885i | −0.748390 | + | 2.49980i | ||||
\(143\) | −3.79438 | + | 3.18386i | −0.317302 | + | 0.266248i | ||||
\(144\) | −8.77886 | + | 26.8944i | −0.731572 | + | 2.24120i | ||||
\(145\) | −0.529681 | − | 0.444455i | −0.0439876 | − | 0.0369100i | ||||
\(146\) | 17.1076 | − | 11.2518i | 1.41583 | − | 0.931207i | ||||
\(147\) | −3.74412 | − | 13.0908i | −0.308810 | − | 1.07971i | ||||
\(148\) | 6.80924 | − | 0.795887i | 0.559716 | − | 0.0654215i | ||||
\(149\) | 3.42553 | − | 7.94126i | 0.280630 | − | 0.650574i | −0.718352 | − | 0.695680i | \(-0.755103\pi\) |
0.998982 | + | 0.0451060i | \(0.0143626\pi\) | |||||||
\(150\) | 21.9871 | − | 2.29586i | 1.79524 | − | 0.187456i | ||||
\(151\) | −2.70768 | − | 1.35985i | −0.220348 | − | 0.110663i | 0.335201 | − | 0.942147i | \(-0.391196\pi\) |
−0.555549 | + | 0.831484i | \(0.687492\pi\) | |||||||
\(152\) | 31.1396 | − | 11.3339i | 2.52575 | − | 0.919299i | ||||
\(153\) | −14.4334 | − | 0.355530i | −1.16687 | − | 0.0287429i | ||||
\(154\) | 11.8965 | + | 4.32995i | 0.958643 | + | 0.348918i | ||||
\(155\) | −0.845498 | − | 0.896175i | −0.0679120 | − | 0.0719825i | ||||
\(156\) | −31.8966 | + | 7.14600i | −2.55378 | + | 0.572138i | ||||
\(157\) | −7.77296 | − | 5.11236i | −0.620350 | − | 0.408011i | 0.200062 | − | 0.979783i | \(-0.435886\pi\) |
−0.820412 | + | 0.571773i | \(0.806256\pi\) | |||||||
\(158\) | −6.23751 | − | 20.8347i | −0.496230 | − | 1.65752i | ||||
\(159\) | 2.29966 | − | 12.1642i | 0.182375 | − | 0.964681i | ||||
\(160\) | 1.93425 | − | 2.59815i | 0.152916 | − | 0.205402i | ||||
\(161\) | 2.16529 | 0.170648 | ||||||||
\(162\) | −15.2440 | − | 17.8414i | −1.19769 | − | 1.40175i | ||||
\(163\) | 2.41567 | 0.189210 | 0.0946048 | − | 0.995515i | \(-0.469841\pi\) | ||||
0.0946048 | + | 0.995515i | \(0.469841\pi\) | |||||||
\(164\) | −27.0588 | + | 36.3463i | −2.11294 | + | 2.83817i | ||||
\(165\) | 0.535984 | + | 0.461109i | 0.0417263 | + | 0.0358973i | ||||
\(166\) | −0.495915 | − | 1.65647i | −0.0384905 | − | 0.128567i | ||||
\(167\) | −0.420792 | − | 0.276759i | −0.0325619 | − | 0.0214163i | 0.533124 | − | 0.846037i | \(-0.321018\pi\) |
−0.565686 | + | 0.824621i | \(0.691388\pi\) | |||||||
\(168\) | 32.9987 | + | 35.8509i | 2.54591 | + | 2.76596i | ||||
\(169\) | −1.69247 | − | 1.79391i | −0.130190 | − | 0.137993i | ||||
\(170\) | 3.82178 | + | 1.39101i | 0.293117 | + | 0.106686i | ||||
\(171\) | −2.69527 | + | 13.3538i | −0.206113 | + | 1.02119i | ||||
\(172\) | 16.3164 | − | 5.93867i | 1.24411 | − | 0.452820i | ||||
\(173\) | −4.77024 | − | 2.39570i | −0.362674 | − | 0.182142i | 0.258125 | − | 0.966112i | \(-0.416895\pi\) |
−0.620799 | + | 0.783970i | \(0.713192\pi\) | |||||||
\(174\) | −3.92483 | + | 8.79925i | −0.297541 | + | 0.667069i | ||||
\(175\) | 7.47405 | − | 17.3268i | 0.564985 | − | 1.30978i | ||||
\(176\) | −11.7970 | + | 1.37887i | −0.889234 | + | 0.103937i | ||||
\(177\) | −7.03830 | + | 7.27848i | −0.529031 | + | 0.547084i | ||||
\(178\) | 3.63832 | − | 2.39296i | 0.272704 | − | 0.179360i | ||||
\(179\) | −13.8827 | − | 11.6490i | −1.03764 | − | 0.870683i | −0.0458999 | − | 0.998946i | \(-0.514616\pi\) |
−0.991740 | + | 0.128263i | \(0.959060\pi\) | |||||||
\(180\) | 1.74200 | + | 4.32851i | 0.129841 | + | 0.322628i | ||||
\(181\) | 8.98433 | − | 7.53875i | 0.667800 | − | 0.560351i | −0.244613 | − | 0.969621i | \(-0.578661\pi\) |
0.912413 | + | 0.409270i | \(0.134217\pi\) | |||||||
\(182\) | −11.3374 | + | 37.8697i | −0.840387 | + | 2.80709i | ||||
\(183\) | 0.733168 | + | 15.9745i | 0.0541974 | + | 1.18087i | ||||
\(184\) | −3.66289 | + | 1.83957i | −0.270032 | + | 0.135615i | ||||
\(185\) | 0.317749 | − | 0.336794i | 0.0233614 | − | 0.0247616i | ||||
\(186\) | −8.76647 | + | 14.7612i | −0.642789 | + | 1.08234i | ||||
\(187\) | −2.40079 | − | 5.56566i | −0.175563 | − | 0.407002i | ||||
\(188\) | −9.12542 | − | 15.8057i | −0.665539 | − | 1.15275i | ||||
\(189\) | −19.6485 | + | 3.89649i | −1.42922 | + | 0.283428i | ||||
\(190\) | 1.91878 | − | 3.32342i | 0.139203 | − | 0.241106i | ||||
\(191\) | 19.7542 | + | 2.30893i | 1.42936 | + | 0.167069i | 0.795301 | − | 0.606214i | \(-0.207313\pi\) |
0.634061 | + | 0.773283i | \(0.281387\pi\) | |||||||
\(192\) | −11.6619 | − | 4.40795i | −0.841625 | − | 0.318116i | ||||
\(193\) | 15.5278 | + | 3.68015i | 1.11771 | + | 0.264903i | 0.747643 | − | 0.664100i | \(-0.231185\pi\) |
0.370071 | + | 0.929004i | \(0.379333\pi\) | |||||||
\(194\) | 2.44394 | − | 41.9609i | 0.175465 | − | 3.01262i | ||||
\(195\) | −1.34006 | + | 1.75448i | −0.0959634 | + | 0.125641i | ||||
\(196\) | 36.7061 | − | 8.69950i | 2.62186 | − | 0.621393i | ||||
\(197\) | −1.15341 | − | 6.54129i | −0.0821768 | − | 0.466048i | −0.997930 | − | 0.0643070i | \(-0.979516\pi\) |
0.915753 | − | 0.401741i | \(-0.131595\pi\) | |||||||
\(198\) | 4.12380 | − | 8.94751i | 0.293066 | − | 0.635872i | ||||
\(199\) | −0.983166 | + | 5.57581i | −0.0696948 | + | 0.395259i | 0.929927 | + | 0.367745i | \(0.119870\pi\) |
−0.999621 | + | 0.0275137i | \(0.991241\pi\) | |||||||
\(200\) | 2.07699 | + | 35.6605i | 0.146865 | + | 2.52158i | ||||
\(201\) | 0.335887 | − | 0.163541i | 0.0236917 | − | 0.0115353i | ||||
\(202\) | 5.38275 | + | 7.23029i | 0.378729 | + | 0.508721i | ||||
\(203\) | 4.91119 | + | 6.59687i | 0.344698 | + | 0.463009i | ||||
\(204\) | 2.81735 | − | 39.9011i | 0.197254 | − | 2.79364i | ||||
\(205\) | 0.177948 | + | 3.05524i | 0.0124284 | + | 0.213387i | ||||
\(206\) | −2.81279 | + | 15.9521i | −0.195977 | + | 1.11144i | ||||
\(207\) | 0.139371 | − | 1.67927i | 0.00968697 | − | 0.116718i | ||||
\(208\) | −6.44004 | − | 36.5233i | −0.446537 | − | 2.53244i | ||||
\(209\) | −5.56518 | + | 1.31897i | −0.384952 | + | 0.0912353i | ||||
\(210\) | 5.59605 | + | 0.724038i | 0.386164 | + | 0.0499634i | ||||
\(211\) | −0.888331 | + | 15.2520i | −0.0611552 | + | 1.04999i | 0.818538 | + | 0.574453i | \(0.194785\pi\) |
−0.879693 | + | 0.475542i | \(0.842252\pi\) | |||||||
\(212\) | 33.3738 | + | 7.90974i | 2.29212 | + | 0.543243i | ||||
\(213\) | 15.9853 | − | 13.0812i | 1.09529 | − | 0.896312i | ||||
\(214\) | −4.00676 | − | 0.468324i | −0.273897 | − | 0.0320139i | ||||
\(215\) | 0.586367 | − | 1.01562i | 0.0399899 | − | 0.0692645i | ||||
\(216\) | 29.9279 | − | 23.2844i | 2.03634 | − | 1.58430i | ||||
\(217\) | 7.32727 | + | 12.6912i | 0.497408 | + | 0.861535i | ||||
\(218\) | −12.9728 | − | 30.0744i | −0.878632 | − | 2.03690i | ||||
\(219\) | −13.6007 | − | 0.167485i | −0.919051 | − | 0.0113176i | ||||
\(220\) | −1.34426 | + | 1.42483i | −0.0906301 | + | 0.0960623i | ||||
\(221\) | 16.9134 | − | 8.49422i | 1.13772 | − | 0.571383i | ||||
\(222\) | −5.72962 | − | 2.96643i | −0.384547 | − | 0.199094i | ||||
\(223\) | −5.82713 | + | 19.4640i | −0.390214 | + | 1.30340i | 0.507053 | + | 0.861915i | \(0.330735\pi\) |
−0.897266 | + | 0.441489i | \(0.854450\pi\) | |||||||
\(224\) | −29.5131 | + | 24.7644i | −1.97192 | + | 1.65464i | ||||
\(225\) | −12.9566 | − | 6.91171i | −0.863774 | − | 0.460781i | ||||
\(226\) | 39.0757 | + | 32.7884i | 2.59928 | + | 2.18105i | ||||
\(227\) | 0.842376 | − | 0.554040i | 0.0559105 | − | 0.0367729i | −0.521246 | − | 0.853406i | \(-0.674533\pi\) |
0.577157 | + | 0.816634i | \(0.304162\pi\) | |||||||
\(228\) | −36.6159 | − | 9.15576i | −2.42495 | − | 0.606355i | ||||
\(229\) | 10.0678 | − | 1.17676i | 0.665299 | − | 0.0777623i | 0.223261 | − | 0.974759i | \(-0.428330\pi\) |
0.442038 | + | 0.896996i | \(0.354256\pi\) | |||||||
\(230\) | −0.188007 | + | 0.435850i | −0.0123968 | + | 0.0287391i | ||||
\(231\) | −4.93846 | − | 6.80691i | −0.324927 | − | 0.447862i | ||||
\(232\) | −13.9125 | − | 6.98712i | −0.913400 | − | 0.458727i | ||||
\(233\) | 18.4171 | − | 6.70328i | 1.20654 | − | 0.439146i | 0.341040 | − | 0.940049i | \(-0.389221\pi\) |
0.865504 | + | 0.500902i | \(0.166998\pi\) | |||||||
\(234\) | 28.6399 | + | 11.2302i | 1.87225 | + | 0.734142i | ||||
\(235\) | −1.15832 | − | 0.421596i | −0.0755608 | − | 0.0275019i | ||||
\(236\) | −19.2501 | − | 20.4039i | −1.25308 | − | 1.32818i | ||||
\(237\) | −4.31352 | + | 13.7879i | −0.280193 | + | 0.895620i | ||||
\(238\) | −40.4163 | − | 26.5822i | −2.61980 | − | 1.72307i | ||||
\(239\) | 8.18779 | + | 27.3491i | 0.529624 | + | 1.76907i | 0.632702 | + | 0.774395i | \(0.281946\pi\) |
−0.103078 | + | 0.994673i | \(0.532869\pi\) | |||||||
\(240\) | −4.99654 | + | 1.74922i | −0.322525 | + | 0.112912i | ||||
\(241\) | −7.26635 | + | 9.76041i | −0.468067 | + | 0.628723i | −0.971989 | − | 0.235026i | \(-0.924482\pi\) |
0.503922 | + | 0.863749i | \(0.331890\pi\) | |||||||
\(242\) | −24.5456 | −1.57785 | ||||||||
\(243\) | 1.75719 | + | 15.4891i | 0.112724 | + | 0.993626i | ||||
\(244\) | −44.3047 | −2.83632 | ||||||||
\(245\) | 1.52145 | − | 2.04366i | 0.0972017 | − | 0.130564i | ||||
\(246\) | 40.2497 | − | 14.0909i | 2.56623 | − | 0.898403i | ||||
\(247\) | −5.12189 | − | 17.1083i | −0.325898 | − | 1.08858i | ||||
\(248\) | −23.1772 | − | 15.2439i | −1.47176 | − | 0.967989i | ||||
\(249\) | −0.342947 | + | 1.09621i | −0.0217334 | + | 0.0694695i | ||||
\(250\) | 5.73842 | + | 6.08237i | 0.362929 | + | 0.384683i | ||||
\(251\) | 4.11036 | + | 1.49605i | 0.259444 | + | 0.0944298i | 0.468467 | − | 0.883481i | \(-0.344806\pi\) |
−0.209024 | + | 0.977911i | \(0.567029\pi\) | |||||||
\(252\) | −8.28821 | − | 54.8749i | −0.522108 | − | 3.45679i | ||||
\(253\) | 0.664768 | − | 0.241956i | 0.0417936 | − | 0.0152116i | ||||
\(254\) | 1.10321 | + | 0.554054i | 0.0692216 | + | 0.0347644i | ||||
\(255\) | −1.58650 | − | 2.18675i | −0.0993504 | − | 0.136939i | ||||
\(256\) | −6.96159 | + | 16.1388i | −0.435099 | + | 1.00867i | ||||
\(257\) | −25.7692 | + | 3.01199i | −1.60744 | + | 0.187883i | −0.871930 | − | 0.489630i | \(-0.837132\pi\) |
−0.735511 | + | 0.677513i | \(0.763058\pi\) | |||||||
\(258\) | −15.8532 | − | 3.96407i | −0.986977 | − | 0.246792i | ||||
\(259\) | −4.60134 | + | 3.02635i | −0.285913 | + | 0.188048i | ||||
\(260\) | −4.68555 | − | 3.93164i | −0.290585 | − | 0.243830i | ||||
\(261\) | 5.43227 | − | 3.38422i | 0.336249 | − | 0.209478i | ||||
\(262\) | −13.9936 | + | 11.7420i | −0.864528 | + | 0.725425i | ||||
\(263\) | 8.16665 | − | 27.2785i | 0.503577 | − | 1.68207i | −0.206914 | − | 0.978359i | \(-0.566342\pi\) |
0.710491 | − | 0.703706i | \(-0.248473\pi\) | |||||||
\(264\) | 14.1371 | + | 7.31926i | 0.870077 | + | 0.450470i | ||||
\(265\) | 2.07011 | − | 1.03965i | 0.127166 | − | 0.0638651i | ||||
\(266\) | −31.3234 | + | 33.2008i | −1.92056 | + | 2.03567i | ||||
\(267\) | −2.89251 | − | 0.0356195i | −0.177019 | − | 0.00217988i | ||||
\(268\) | 0.409956 | + | 0.950385i | 0.0250421 | + | 0.0580540i | ||||
\(269\) | 14.0246 | + | 24.2913i | 0.855093 | + | 1.48106i | 0.876559 | + | 0.481295i | \(0.159833\pi\) |
−0.0214661 | + | 0.999770i | \(0.506833\pi\) | |||||||
\(270\) | 0.921720 | − | 4.29338i | 0.0560941 | − | 0.261287i | ||||
\(271\) | 5.55847 | − | 9.62755i | 0.337653 | − | 0.584832i | −0.646338 | − | 0.763051i | \(-0.723700\pi\) |
0.983991 | + | 0.178219i | \(0.0570337\pi\) | |||||||
\(272\) | 45.0773 | + | 5.26878i | 2.73321 | + | 0.319466i | ||||
\(273\) | 20.3219 | − | 16.6300i | 1.22994 | − | 1.00649i | ||||
\(274\) | 50.3918 | + | 11.9431i | 3.04428 | + | 0.721508i | ||||
\(275\) | 0.358470 | − | 6.15470i | 0.0216166 | − | 0.371142i | ||||
\(276\) | 4.62991 | + | 0.599035i | 0.278688 | + | 0.0360577i | ||||
\(277\) | 10.6239 | − | 2.51790i | 0.638326 | − | 0.151286i | 0.101306 | − | 0.994855i | \(-0.467698\pi\) |
0.537021 | + | 0.843569i | \(0.319550\pi\) | |||||||
\(278\) | 7.00161 | + | 39.7081i | 0.419929 | + | 2.38153i | ||||
\(279\) | 10.3142 | − | 4.86573i | 0.617496 | − | 0.291304i | ||||
\(280\) | −1.58327 | + | 8.97919i | −0.0946187 | + | 0.536609i | ||||
\(281\) | 0.272736 | + | 4.68269i | 0.0162701 | + | 0.279346i | 0.996624 | + | 0.0821001i | \(0.0261627\pi\) |
−0.980354 | + | 0.197246i | \(0.936800\pi\) | |||||||
\(282\) | −1.20978 | + | 17.1337i | −0.0720416 | + | 1.02030i | ||||
\(283\) | −19.3162 | − | 25.9462i | −1.14823 | − | 1.54234i | −0.794794 | − | 0.606880i | \(-0.792421\pi\) |
−0.353435 | − | 0.935459i | \(-0.614987\pi\) | |||||||
\(284\) | 34.1735 | + | 45.9030i | 2.02783 | + | 2.72384i | ||||
\(285\) | −2.29195 | + | 1.11594i | −0.135763 | + | 0.0661023i | ||||
\(286\) | 0.750951 | + | 12.8933i | 0.0444046 | + | 0.762398i | ||||
\(287\) | 6.32103 | − | 35.8484i | 0.373119 | − | 2.11606i | ||||
\(288\) | 17.3062 | + | 24.4827i | 1.01978 | + | 1.44265i | ||||
\(289\) | 1.06984 | + | 6.06738i | 0.0629319 | + | 0.356905i | ||||
\(290\) | −1.75431 | + | 0.415779i | −0.103017 | + | 0.0244154i | ||||
\(291\) | −16.9476 | + | 22.1889i | −0.993487 | + | 1.30074i | ||||
\(292\) | 2.19114 | − | 37.6205i | 0.128227 | − | 2.20157i | ||||
\(293\) | 19.4786 | + | 4.61650i | 1.13795 | + | 0.269699i | 0.756056 | − | 0.654507i | \(-0.227124\pi\) |
0.381894 | + | 0.924206i | \(0.375272\pi\) | |||||||
\(294\) | −33.2090 | − | 12.5523i | −1.93679 | − | 0.732065i | ||||
\(295\) | −1.88179 | − | 0.219950i | −0.109562 | − | 0.0128060i | ||||
\(296\) | 5.21271 | − | 9.02868i | 0.302983 | − | 0.524781i | ||||
\(297\) | −5.59693 | + | 3.39186i | −0.324767 | + | 0.196815i | ||||
\(298\) | −11.2753 | − | 19.5294i | −0.653161 | − | 1.13131i | ||||
\(299\) | 0.874916 | + | 2.02828i | 0.0505977 | + | 0.117299i | ||||
\(300\) | 20.7748 | − | 34.9811i | 1.19944 | − | 2.01964i | ||||
\(301\) | −9.57224 | + | 10.1460i | −0.551735 | + | 0.584804i | ||||
\(302\) | −7.06011 | + | 3.54572i | −0.406264 | + | 0.204033i | ||||
\(303\) | −0.274524 | − | 5.98143i | −0.0157710 | − | 0.343624i | ||||
\(304\) | 12.2818 | − | 41.0241i | 0.704411 | − | 2.35290i | ||||
\(305\) | −2.29227 | + | 1.92344i | −0.131255 | + | 0.110136i | ||||
\(306\) | −23.2171 | + | 29.6336i | −1.32723 | + | 1.69404i | ||||
\(307\) | −4.16550 | − | 3.49527i | −0.237738 | − | 0.199486i | 0.516133 | − | 0.856509i | \(-0.327371\pi\) |
−0.753871 | + | 0.657023i | \(0.771816\pi\) | |||||||
\(308\) | 19.4663 | − | 12.8032i | 1.10920 | − | 0.729530i | ||||
\(309\) | 7.47981 | − | 7.73506i | 0.425511 | − | 0.440032i | ||||
\(310\) | −3.19082 | + | 0.372954i | −0.181227 | + | 0.0211823i | ||||
\(311\) | 4.35270 | − | 10.0907i | 0.246819 | − | 0.572191i | −0.749099 | − | 0.662459i | \(-0.769513\pi\) |
0.995918 | + | 0.0902679i | \(0.0287723\pi\) | |||||||
\(312\) | −20.2489 | + | 45.3969i | −1.14637 | + | 2.57009i | ||||
\(313\) | 22.1598 | + | 11.1291i | 1.25255 | + | 0.629053i | 0.946420 | − | 0.322938i | \(-0.104670\pi\) |
0.306127 | + | 0.951991i | \(0.400967\pi\) | |||||||
\(314\) | −22.7953 | + | 8.29683i | −1.28642 | + | 0.468217i | ||||
\(315\) | −2.81116 | − | 2.47933i | −0.158391 | − | 0.139695i | ||||
\(316\) | −37.6119 | − | 13.6896i | −2.11583 | − | 0.770100i | ||||
\(317\) | −16.0462 | − | 17.0080i | −0.901246 | − | 0.955265i | 0.0979563 | − | 0.995191i | \(-0.468769\pi\) |
−0.999203 | + | 0.0399254i | \(0.987288\pi\) | |||||||
\(318\) | −21.8605 | − | 23.7499i | −1.22587 | − | 1.33183i | ||||
\(319\) | 2.24495 | + | 1.47652i | 0.125693 | + | 0.0826695i | ||||
\(320\) | −0.669080 | − | 2.23488i | −0.0374027 | − | 0.124934i | ||||
\(321\) | 2.03141 | + | 1.74763i | 0.113382 | + | 0.0975431i | ||||
\(322\) | 3.37146 | − | 4.52866i | 0.187884 | − | 0.252372i | ||||
\(323\) | 21.8540 | 1.21599 | ||||||||
\(324\) | −43.0913 | + | 2.89579i | −2.39396 | + | 0.160877i | ||||
\(325\) | 19.2505 | 1.06783 | ||||||||
\(326\) | 3.76132 | − | 5.05233i | 0.208320 | − | 0.279823i | ||||
\(327\) | −4.04162 | + | 21.3783i | −0.223502 | + | 1.18223i | ||||
\(328\) | 19.7629 | + | 66.0128i | 1.09123 | + | 3.64495i | ||||
\(329\) | 12.2496 | + | 8.05668i | 0.675342 | + | 0.444179i | ||||
\(330\) | 1.79896 | − | 0.403032i | 0.0990294 | − | 0.0221862i | ||||
\(331\) | 10.7575 | + | 11.4023i | 0.591288 | + | 0.626728i | 0.952055 | − | 0.305928i | \(-0.0989666\pi\) |
−0.360767 | + | 0.932656i | \(0.617485\pi\) | |||||||
\(332\) | −2.99034 | − | 1.08840i | −0.164116 | − | 0.0597335i | ||||
\(333\) | 2.05089 | + | 3.76333i | 0.112388 | + | 0.206229i | ||||
\(334\) | −1.23403 | + | 0.449151i | −0.0675233 | + | 0.0245765i | ||||
\(335\) | 0.0624706 | + | 0.0313739i | 0.00341313 | + | 0.00171414i | ||||
\(336\) | 62.6262 | − | 6.53933i | 3.41654 | − | 0.356750i | ||||
\(337\) | −3.81544 | + | 8.84517i | −0.207840 | + | 0.481827i | −0.989968 | − | 0.141290i | \(-0.954875\pi\) |
0.782128 | + | 0.623118i | \(0.214134\pi\) | |||||||
\(338\) | −6.38721 | + | 0.746558i | −0.347418 | + | 0.0406074i | ||||
\(339\) | −9.31772 | − | 32.5781i | −0.506069 | − | 1.76940i | ||||
\(340\) | 6.25363 | − | 4.11308i | 0.339151 | − | 0.223063i | ||||
\(341\) | 3.66771 | + | 3.07758i | 0.198618 | + | 0.166660i | ||||
\(342\) | 23.7325 | + | 26.4296i | 1.28331 | + | 1.42915i | ||||
\(343\) | −2.54270 | + | 2.13358i | −0.137293 | + | 0.115203i | ||||
\(344\) | 7.57303 | − | 25.2957i | 0.408310 | − | 1.36385i | ||||
\(345\) | 0.265552 | − | 0.170009i | 0.0142968 | − | 0.00915299i | ||||
\(346\) | −12.4381 | + | 6.24664i | −0.668676 | + | 0.335822i | ||||
\(347\) | −14.6868 | + | 15.5671i | −0.788427 | + | 0.835683i | −0.989596 | − | 0.143873i | \(-0.954044\pi\) |
0.201170 | + | 0.979556i | \(0.435526\pi\) | |||||||
\(348\) | 8.67626 | + | 15.4644i | 0.465096 | + | 0.828979i | ||||
\(349\) | −12.2198 | − | 28.3286i | −0.654108 | − | 1.51639i | −0.844991 | − | 0.534781i | \(-0.820394\pi\) |
0.190882 | − | 0.981613i | \(-0.438865\pi\) | |||||||
\(350\) | −24.6012 | − | 42.6106i | −1.31499 | − | 2.27763i | ||||
\(351\) | −11.5892 | − | 16.8309i | −0.618588 | − | 0.898367i | ||||
\(352\) | −6.29361 | + | 10.9008i | −0.335450 | + | 0.581017i | ||||
\(353\) | −19.9661 | − | 2.33371i | −1.06269 | − | 0.124211i | −0.433261 | − | 0.901268i | \(-0.642637\pi\) |
−0.629429 | + | 0.777058i | \(0.716711\pi\) | |||||||
\(354\) | 4.26384 | + | 26.0535i | 0.226620 | + | 1.38473i | ||||
\(355\) | 3.76093 | + | 0.891357i | 0.199609 | + | 0.0473083i | ||||
\(356\) | 0.465998 | − | 8.00088i | 0.0246978 | − | 0.424046i | ||||
\(357\) | 12.3633 | + | 29.6604i | 0.654336 | + | 1.56979i | ||||
\(358\) | −45.9797 | + | 10.8974i | −2.43010 | + | 0.575945i | ||||
\(359\) | −2.90565 | − | 16.4788i | −0.153354 | − | 0.869715i | −0.960275 | − | 0.279056i | \(-0.909979\pi\) |
0.806921 | − | 0.590660i | \(-0.201132\pi\) | |||||||
\(360\) | 6.86185 | + | 1.80585i | 0.361651 | + | 0.0951769i | ||||
\(361\) | 0.281455 | − | 1.59621i | 0.0148134 | − | 0.0840111i | ||||
\(362\) | −1.77810 | − | 30.5288i | −0.0934550 | − | 1.60456i | ||||
\(363\) | 13.5113 | + | 9.12680i | 0.709158 | + | 0.479033i | ||||
\(364\) | 43.4443 | + | 58.3558i | 2.27710 | + | 3.05868i | ||||
\(365\) | −1.51989 | − | 2.04156i | −0.0795546 | − | 0.106860i | ||||
\(366\) | 34.5521 | + | 23.3398i | 1.80607 | + | 1.21999i | ||||
\(367\) | −1.41904 | − | 24.3640i | −0.0740733 | − | 1.27179i | −0.806619 | − | 0.591072i | \(-0.798705\pi\) |
0.732546 | − | 0.680718i | \(-0.238332\pi\) | |||||||
\(368\) | −0.919785 | + | 5.21636i | −0.0479471 | + | 0.271922i | ||||
\(369\) | −27.3951 | − | 7.20966i | −1.42613 | − | 0.375320i | ||||
\(370\) | −0.209648 | − | 1.18897i | −0.0108991 | − | 0.0618118i | ||||
\(371\) | −26.8105 | + | 6.35420i | −1.39193 | + | 0.329893i | ||||
\(372\) | 12.1564 | + | 29.1640i | 0.630280 | + | 1.51208i | ||||
\(373\) | −0.753460 | + | 12.9364i | −0.0390127 | + | 0.669822i | 0.920948 | + | 0.389686i | \(0.127416\pi\) |
−0.959960 | + | 0.280136i | \(0.909621\pi\) | |||||||
\(374\) | −15.3787 | − | 3.64481i | −0.795212 | − | 0.188469i | ||||
\(375\) | −0.897135 | − | 5.48179i | −0.0463279 | − | 0.283079i | ||||
\(376\) | −27.5667 | − | 3.22208i | −1.42164 | − | 0.166166i | ||||
\(377\) | −4.19503 | + | 7.26601i | −0.216055 | + | 0.374219i | ||||
\(378\) | −22.4444 | + | 47.1617i | −1.15441 | + | 2.42573i | ||||
\(379\) | 5.56867 | + | 9.64522i | 0.286043 | + | 0.495442i | 0.972862 | − | 0.231387i | \(-0.0743265\pi\) |
−0.686818 | + | 0.726829i | \(0.740993\pi\) | |||||||
\(380\) | −2.79737 | − | 6.48502i | −0.143502 | − | 0.332675i | ||||
\(381\) | −0.401255 | − | 0.715190i | −0.0205569 | − | 0.0366403i | ||||
\(382\) | 35.5874 | − | 37.7204i | 1.82081 | − | 1.92995i | ||||
\(383\) | −28.3677 | + | 14.2468i | −1.44952 | + | 0.727977i | −0.987312 | − | 0.158795i | \(-0.949239\pi\) |
−0.462209 | + | 0.886771i | \(0.652943\pi\) | |||||||
\(384\) | 1.77926 | − | 1.13910i | 0.0907977 | − | 0.0581296i | ||||
\(385\) | 0.451325 | − | 1.50753i | 0.0230017 | − | 0.0768309i | ||||
\(386\) | 31.8746 | − | 26.7459i | 1.62237 | − | 1.36133i | ||||
\(387\) | 7.25252 | + | 8.07674i | 0.368666 | + | 0.410564i | ||||
\(388\) | −59.2579 | − | 49.7233i | −3.00836 | − | 2.52432i | ||||
\(389\) | −5.73145 | + | 3.76963i | −0.290596 | + | 0.191128i | −0.686434 | − | 0.727193i | \(-0.740825\pi\) |
0.395837 | + | 0.918321i | \(0.370454\pi\) | |||||||
\(390\) | 1.58294 | + | 5.53453i | 0.0801553 | + | 0.280252i | ||||
\(391\) | −2.68487 | + | 0.313816i | −0.135780 | + | 0.0158704i | ||||
\(392\) | 22.7214 | − | 52.6742i | 1.14761 | − | 2.66045i | ||||
\(393\) | 12.0689 | − | 1.26022i | 0.608795 | − | 0.0635695i | ||||
\(394\) | −15.4769 | − | 7.77281i | −0.779717 | − | 0.391588i | ||||
\(395\) | −2.54031 | + | 0.924598i | −0.127817 | + | 0.0465216i | ||||
\(396\) | −8.67647 | − | 15.9211i | −0.436009 | − | 0.800064i | ||||
\(397\) | 3.49386 | + | 1.27166i | 0.175352 | + | 0.0638229i | 0.428204 | − | 0.903682i | \(-0.359146\pi\) |
−0.252852 | + | 0.967505i | \(0.581369\pi\) | |||||||
\(398\) | 10.1309 | + | 10.7381i | 0.507815 | + | 0.538253i | ||||
\(399\) | 29.5872 | − | 6.62860i | 1.48121 | − | 0.331845i | ||||
\(400\) | 38.5669 | + | 25.3658i | 1.92834 | + | 1.26829i | ||||
\(401\) | −9.50803 | − | 31.7590i | −0.474808 | − | 1.58597i | −0.774916 | − | 0.632065i | \(-0.782208\pi\) |
0.300107 | − | 0.953905i | \(-0.402978\pi\) | |||||||
\(402\) | 0.180950 | − | 0.957145i | 0.00902497 | − | 0.0477381i | ||||
\(403\) | −8.92751 | + | 11.9917i | −0.444711 | + | 0.597351i | ||||
\(404\) | 16.5892 | 0.825346 | ||||||||
\(405\) | −2.10377 | + | 2.02059i | −0.104537 | + | 0.100404i | ||||
\(406\) | 21.4442 | 1.06426 | ||||||||
\(407\) | −1.07449 | + | 1.44329i | −0.0532606 | + | 0.0715413i | ||||
\(408\) | −46.1130 | − | 39.6711i | −2.28293 | − | 1.96401i | ||||
\(409\) | −6.97378 | − | 23.2940i | −0.344831 | − | 1.15182i | −0.937970 | − | 0.346716i | \(-0.887297\pi\) |
0.593139 | − | 0.805100i | \(-0.297888\pi\) | |||||||
\(410\) | 6.66707 | + | 4.38500i | 0.329263 | + | 0.216560i | ||||
\(411\) | −23.2977 | − | 25.3113i | −1.14919 | − | 1.24852i | ||||
\(412\) | 20.4577 | + | 21.6839i | 1.00788 | + | 1.06829i | ||||
\(413\) | 21.1759 | + | 7.70738i | 1.04200 | + | 0.379255i | ||||
\(414\) | −3.29517 | − | 2.90621i | −0.161949 | − | 0.142832i | ||||
\(415\) | −0.201968 | + | 0.0735104i | −0.00991423 | + | 0.00360848i | ||||
\(416\) | −35.1227 | − | 17.6393i | −1.72203 | − | 0.864837i | ||||
\(417\) | 10.9106 | − | 24.4610i | 0.534295 | − | 1.19786i | ||||
\(418\) | −5.90667 | + | 13.6932i | −0.288905 | + | 0.669757i | ||||
\(419\) | −5.60280 | + | 0.654873i | −0.273714 | + | 0.0319926i | −0.251843 | − | 0.967768i | \(-0.581037\pi\) |
−0.0218717 | + | 0.999761i | \(0.506963\pi\) | |||||||
\(420\) | 7.21896 | − | 7.46531i | 0.352249 | − | 0.364270i | ||||
\(421\) | −27.1935 | + | 17.8854i | −1.32533 | + | 0.871683i | −0.997332 | − | 0.0729952i | \(-0.976744\pi\) |
−0.327998 | + | 0.944678i | \(0.606374\pi\) | |||||||
\(422\) | 30.5163 | + | 25.6062i | 1.48551 | + | 1.24649i | ||||
\(423\) | 7.03677 | − | 8.98151i | 0.342139 | − | 0.436696i | ||||
\(424\) | 39.9553 | − | 33.5265i | 1.94040 | − | 1.62819i | ||||
\(425\) | −6.75634 | + | 22.5677i | −0.327730 | + | 1.09470i | ||||
\(426\) | −2.46926 | − | 53.8012i | −0.119636 | − | 2.60668i | ||||
\(427\) | 31.8059 | − | 15.9735i | 1.53920 | − | 0.773013i | ||||
\(428\) | −5.09483 | + | 5.40020i | −0.246268 | + | 0.261029i | ||||
\(429\) | 4.38077 | − | 7.37643i | 0.211505 | − | 0.356137i | ||||
\(430\) | −1.21114 | − | 2.80775i | −0.0584066 | − | 0.135402i | ||||
\(431\) | −0.705902 | − | 1.22266i | −0.0340021 | − | 0.0588934i | 0.848524 | − | 0.529158i | \(-0.177492\pi\) |
−0.882526 | + | 0.470264i | \(0.844159\pi\) | |||||||
\(432\) | −1.04053 | − | 48.9902i | −0.0500625 | − | 2.35704i | ||||
\(433\) | −3.07047 | + | 5.31820i | −0.147557 | + | 0.255576i | −0.930324 | − | 0.366739i | \(-0.880474\pi\) |
0.782767 | + | 0.622315i | \(0.213808\pi\) | |||||||
\(434\) | 37.9524 | + | 4.43600i | 1.82177 | + | 0.212935i | ||||
\(435\) | 1.12027 | + | 0.423438i | 0.0537128 | + | 0.0203023i | ||||
\(436\) | −58.6540 | − | 13.9013i | −2.80902 | − | 0.665749i | ||||
\(437\) | −0.148305 | + | 2.54629i | −0.00709438 | + | 0.121806i | ||||
\(438\) | −21.5273 | + | 28.1849i | −1.02862 | + | 1.34673i | ||||
\(439\) | −12.9504 | + | 3.06929i | −0.618087 | + | 0.146489i | −0.527719 | − | 0.849419i | \(-0.676952\pi\) |
−0.0903681 | + | 0.995908i | \(0.528804\pi\) | |||||||
\(440\) | 0.517279 | + | 2.93364i | 0.0246603 | + | 0.139856i | ||||
\(441\) | 13.6128 | + | 19.2576i | 0.648226 | + | 0.917028i | ||||
\(442\) | 8.56950 | − | 48.6000i | 0.407610 | − | 2.31167i | ||||
\(443\) | 0.254079 | + | 4.36237i | 0.0120717 | + | 0.207263i | 0.998951 | + | 0.0458006i | \(0.0145839\pi\) |
−0.986879 | + | 0.161462i | \(0.948379\pi\) | |||||||
\(444\) | −10.6760 | + | 5.19809i | −0.506662 | + | 0.246690i | ||||
\(445\) | −0.323240 | − | 0.434186i | −0.0153230 | − | 0.0205824i | ||||
\(446\) | 31.6355 | + | 42.4938i | 1.49798 | + | 2.01214i | ||||
\(447\) | −1.05507 | + | 14.9426i | −0.0499032 | + | 0.706760i | ||||
\(448\) | 1.61340 | + | 27.7010i | 0.0762260 | + | 1.30875i | ||||
\(449\) | −5.92614 | + | 33.6088i | −0.279672 | + | 1.58610i | 0.444047 | + | 0.896003i | \(0.353542\pi\) |
−0.723719 | + | 0.690095i | \(0.757569\pi\) | |||||||
\(450\) | −34.6299 | + | 16.3366i | −1.63247 | + | 0.770117i | ||||
\(451\) | −2.06518 | − | 11.7122i | −0.0972454 | − | 0.551506i | ||||
\(452\) | 91.3478 | − | 21.6498i | 4.29664 | − | 1.01832i | ||||
\(453\) | 5.20468 | + | 0.673402i | 0.244537 | + | 0.0316392i | ||||
\(454\) | 0.152859 | − | 2.62449i | 0.00717402 | − | 0.123173i | ||||
\(455\) | 4.78121 | + | 1.13317i | 0.224147 | + | 0.0531237i | ||||
\(456\) | −44.4194 | + | 36.3497i | −2.08013 | + | 1.70223i | ||||
\(457\) | −2.59552 | − | 0.303373i | −0.121413 | − | 0.0141912i | 0.0551692 | − | 0.998477i | \(-0.482430\pi\) |
−0.176583 | + | 0.984286i | \(0.556504\pi\) | |||||||
\(458\) | 13.2149 | − | 22.8889i | 0.617493 | − | 1.06953i | ||||
\(459\) | 23.7987 | − | 7.67916i | 1.11083 | − | 0.358432i | ||||
\(460\) | 0.436791 | + | 0.756545i | 0.0203655 | + | 0.0352741i | ||||
\(461\) | 2.32730 | + | 5.39528i | 0.108393 | + | 0.251283i | 0.963776 | − | 0.266713i | \(-0.0859375\pi\) |
−0.855383 | + | 0.517996i | \(0.826678\pi\) | |||||||
\(462\) | −21.9260 | − | 0.270005i | −1.02009 | − | 0.0125618i | ||||
\(463\) | −17.4881 | + | 18.5363i | −0.812742 | + | 0.861456i | −0.992499 | − | 0.122255i | \(-0.960987\pi\) |
0.179757 | + | 0.983711i | \(0.442469\pi\) | |||||||
\(464\) | −17.9786 | + | 9.02922i | −0.834638 | + | 0.419171i | ||||
\(465\) | 1.89508 | + | 0.981151i | 0.0878823 | + | 0.0454998i | ||||
\(466\) | 14.6566 | − | 48.9564i | 0.678954 | − | 2.26786i | ||||
\(467\) | −20.6922 | + | 17.3628i | −0.957522 | + | 0.803456i | −0.980548 | − | 0.196279i | \(-0.937114\pi\) |
0.0230263 | + | 0.999735i | \(0.492670\pi\) | |||||||
\(468\) | 48.0538 | − | 29.9368i | 2.22129 | − | 1.38383i | ||||
\(469\) | −0.636953 | − | 0.534467i | −0.0294118 | − | 0.0246794i | ||||
\(470\) | −2.68533 | + | 1.76617i | −0.123865 | + | 0.0814675i | ||||
\(471\) | 15.6328 | + | 3.90897i | 0.720323 | + | 0.180116i | ||||
\(472\) | −42.3700 | + | 4.95234i | −1.95024 | + | 0.227950i | ||||
\(473\) | −1.80505 | + | 4.18457i | −0.0829961 | + | 0.192407i | ||||
\(474\) | 22.1208 | + | 30.4901i | 1.01604 | + | 1.40046i | ||||
\(475\) | 19.8637 | + | 9.97594i | 0.911411 | + | 0.457728i | ||||
\(476\) | −83.6593 | + | 30.4495i | −3.83452 | + | 1.39565i | ||||
\(477\) | 3.20227 | + | 21.2017i | 0.146622 | + | 0.970758i | ||||
\(478\) | 69.9491 | + | 25.4594i | 3.19940 | + | 1.16449i | ||||
\(479\) | 17.8649 | + | 18.9357i | 0.816270 | + | 0.865196i | 0.992884 | − | 0.119084i | \(-0.0379959\pi\) |
−0.176614 | + | 0.984280i | \(0.556514\pi\) | |||||||
\(480\) | −1.67510 | + | 5.35437i | −0.0764577 | + | 0.244392i | ||||
\(481\) | −4.69411 | − | 3.08736i | −0.214033 | − | 0.140772i | ||||
\(482\) | 9.09965 | + | 30.3949i | 0.414478 | + | 1.38445i | ||||
\(483\) | −3.53974 | + | 1.23921i | −0.161064 | + | 0.0563862i | ||||
\(484\) | −26.9759 | + | 36.2349i | −1.22618 | + | 1.64704i | ||||
\(485\) | −5.22461 | −0.237238 | ||||||||
\(486\) | 35.1313 | + | 20.4422i | 1.59359 | + | 0.927277i | ||||
\(487\) | −7.41759 | −0.336123 | −0.168061 | − | 0.985777i | \(-0.553751\pi\) | ||||
−0.168061 | + | 0.985777i | \(0.553751\pi\) | |||||||
\(488\) | −40.2335 | + | 54.0430i | −1.82129 | + | 2.44641i | ||||
\(489\) | −3.94905 | + | 1.38251i | −0.178582 | + | 0.0625193i | ||||
\(490\) | −1.90531 | − | 6.36417i | −0.0860730 | − | 0.287504i | ||||
\(491\) | 14.0070 | + | 9.21253i | 0.632126 | + | 0.415756i | 0.824735 | − | 0.565520i | \(-0.191324\pi\) |
−0.192609 | + | 0.981276i | \(0.561695\pi\) | |||||||
\(492\) | 23.4335 | − | 74.9038i | 1.05646 | − | 3.37692i | ||||
\(493\) | −7.04576 | − | 7.46807i | −0.317325 | − | 0.336345i | ||||
\(494\) | −43.7568 | − | 15.9262i | −1.96871 | − | 0.716553i | ||||
\(495\) | −1.14011 | − | 0.447057i | −0.0512440 | − | 0.0200937i | ||||
\(496\) | −33.6868 | + | 12.2610i | −1.51258 | + | 0.550534i | ||||
\(497\) | −41.0826 | − | 20.6325i | −1.84281 | − | 0.925493i | ||||
\(498\) | 1.75872 | + | 2.42413i | 0.0788101 | + | 0.108628i | ||||
\(499\) | 7.23169 | − | 16.7649i | 0.323735 | − | 0.750501i | −0.676171 | − | 0.736745i | \(-0.736362\pi\) |
0.999905 | − | 0.0137564i | \(-0.00437895\pi\) | |||||||
\(500\) | 15.2855 | − | 1.78662i | 0.683590 | − | 0.0799002i | ||||
\(501\) | 0.846289 | + | 0.211613i | 0.0378094 | + | 0.00945418i | ||||
\(502\) | 9.52901 | − | 6.26733i | 0.425301 | − | 0.279725i | ||||
\(503\) | −20.5047 | − | 17.2055i | −0.914261 | − | 0.767156i | 0.0586635 | − | 0.998278i | \(-0.481316\pi\) |
−0.972925 | + | 0.231121i | \(0.925761\pi\) | |||||||
\(504\) | −74.4630 | − | 39.7223i | −3.31685 | − | 1.76937i | ||||
\(505\) | 0.858307 | − | 0.720205i | 0.0381942 | − | 0.0320487i | ||||
\(506\) | 0.529032 | − | 1.76709i | 0.0235183 | − | 0.0785567i | ||||
\(507\) | 3.79347 | + | 1.96401i | 0.168474 | + | 0.0872248i | ||||
\(508\) | 2.03035 | − | 1.01968i | 0.0900822 | − | 0.0452410i | ||||
\(509\) | 20.1524 | − | 21.3603i | 0.893241 | − | 0.946780i | −0.105625 | − | 0.994406i | \(-0.533684\pi\) |
0.998865 | + | 0.0476263i | \(0.0151657\pi\) | |||||||
\(510\) | −7.04381 | − | 0.0867402i | −0.311905 | − | 0.00384092i | ||||
\(511\) | 11.9906 | + | 27.7974i | 0.530433 | + | 1.22968i | ||||
\(512\) | 21.6947 | + | 37.5763i | 0.958780 | + | 1.66066i | ||||
\(513\) | −3.23635 | − | 23.3728i | −0.142888 | − | 1.03194i | ||||
\(514\) | −33.8245 | + | 58.5858i | −1.49194 | + | 2.58411i | ||||
\(515\) | 1.99984 | + | 0.233748i | 0.0881234 | + | 0.0103002i | ||||
\(516\) | −23.2747 | + | 19.0464i | −1.02461 | + | 0.838469i | ||||
\(517\) | 4.66105 | + | 1.10469i | 0.204993 | + | 0.0485841i | ||||
\(518\) | −0.834966 | + | 14.3358i | −0.0366863 | + | 0.629880i | ||||
\(519\) | 9.16931 | + | 1.18636i | 0.402488 | + | 0.0520754i | ||||
\(520\) | −9.05081 | + | 2.14508i | −0.396904 | + | 0.0940680i | ||||
\(521\) | −1.78086 | − | 10.0998i | −0.0780209 | − | 0.442479i | −0.998646 | − | 0.0520298i | \(-0.983431\pi\) |
0.920625 | − | 0.390449i | \(-0.127680\pi\) | |||||||
\(522\) | 1.38028 | − | 16.6309i | 0.0604134 | − | 0.727916i | ||||
\(523\) | −5.81644 | + | 32.9867i | −0.254335 | + | 1.44241i | 0.543439 | + | 0.839449i | \(0.317122\pi\) |
−0.797774 | + | 0.602957i | \(0.793989\pi\) | |||||||
\(524\) | 1.95478 | + | 33.5623i | 0.0853951 | + | 1.46618i | ||||
\(525\) | −2.30203 | + | 32.6027i | −0.100469 | + | 1.42290i | ||||
\(526\) | −44.3367 | − | 59.5545i | −1.93317 | − | 2.59670i | ||||
\(527\) | −10.9249 | − | 14.6746i | −0.475894 | − | 0.639237i | ||||
\(528\) | 18.4962 | − | 9.00570i | 0.804946 | − | 0.391923i | ||||
\(529\) | 1.31899 | + | 22.6461i | 0.0573473 | + | 0.984615i | ||||
\(530\) | 1.04886 | − | 5.94840i | 0.0455597 | − | 0.258382i | ||||
\(531\) | 7.34042 | − | 15.9267i | 0.318547 | − | 0.691160i | ||||
\(532\) | 14.5873 | + | 82.7284i | 0.632438 | + | 3.58673i | ||||
\(533\) | 36.1343 | − | 8.56398i | 1.56515 | − | 0.370947i | ||||
\(534\) | −4.57829 | + | 5.99418i | −0.198122 | + | 0.259394i | ||||
\(535\) | −0.0291558 | + | 0.500586i | −0.00126052 | + | 0.0216422i | ||||
\(536\) | 1.53157 | + | 0.362988i | 0.0661536 | + | 0.0156787i | ||||
\(537\) | 29.3617 | + | 11.0981i | 1.26705 | + | 0.478919i | ||||
\(538\) | 72.6418 | + | 8.49061i | 3.13181 | + | 0.366056i | ||||
\(539\) | −4.95043 | + | 8.57440i | −0.213230 | + | 0.369325i | ||||
\(540\) | −5.32502 | − | 6.07913i | −0.229152 | − | 0.261604i | ||||
\(541\) | −19.3141 | − | 33.4530i | −0.830377 | − | 1.43826i | −0.897740 | − | 0.440526i | \(-0.854792\pi\) |
0.0673627 | − | 0.997729i | \(-0.478542\pi\) | |||||||
\(542\) | −11.4810 | − | 26.6161i | −0.493153 | − | 1.14326i | ||||
\(543\) | −10.3728 | + | 17.4659i | −0.445139 | + | 0.749534i | ||||
\(544\) | 33.0059 | − | 34.9842i | 1.41512 | − | 1.49994i | ||||
\(545\) | −3.63819 | + | 1.82717i | −0.155843 | + | 0.0782673i | ||||
\(546\) | −3.13914 | − | 68.3967i | −0.134343 | − | 2.92711i | ||||
\(547\) | 3.25227 | − | 10.8633i | 0.139057 | − | 0.464482i | −0.859884 | − | 0.510489i | \(-0.829464\pi\) |
0.998941 | + | 0.0460067i | \(0.0146496\pi\) | |||||||
\(548\) | 73.0118 | − | 61.2642i | 3.11891 | − | 2.61708i | ||||
\(549\) | −10.3409 | − | 25.6950i | −0.441341 | − | 1.09664i | ||||
\(550\) | −12.3143 | − | 10.3329i | −0.525084 | − | 0.440598i | ||||
\(551\) | −8.09405 | + | 5.32354i | −0.344818 | + | 0.226790i | ||||
\(552\) | 4.93516 | − | 5.10358i | 0.210054 | − | 0.217223i | ||||
\(553\) | 31.9368 | − | 3.73288i | 1.35809 | − | 0.158738i | ||||
\(554\) | 11.2758 | − | 26.1402i | 0.479062 | − | 1.11059i | ||||
\(555\) | −0.326695 | + | 0.732431i | −0.0138674 | + | 0.0310900i | ||||
\(556\) | 66.3130 | + | 33.3036i | 2.81230 | + | 1.41239i | ||||
\(557\) | 11.1013 | − | 4.04055i | 0.470377 | − | 0.171203i | −0.0959459 | − | 0.995387i | \(-0.530588\pi\) |
0.566323 | + | 0.824183i | \(0.308365\pi\) | |||||||
\(558\) | 5.88316 | − | 29.1482i | 0.249054 | − | 1.23394i | ||||
\(559\) | −13.3718 | − | 4.86695i | −0.565568 | − | 0.205850i | ||||
\(560\) | 8.08565 | + | 8.57028i | 0.341681 | + | 0.362161i | ||||
\(561\) | 7.11002 | + | 7.72456i | 0.300185 | + | 0.326131i | ||||
\(562\) | 10.2184 | + | 6.72078i | 0.431039 | + | 0.283499i | ||||
\(563\) | −5.88403 | − | 19.6540i | −0.247982 | − | 0.828319i | −0.987829 | − | 0.155543i | \(-0.950287\pi\) |
0.739847 | − | 0.672775i | \(-0.234898\pi\) | |||||||
\(564\) | 23.9637 | + | 20.6160i | 1.00905 | + | 0.868092i | ||||
\(565\) | 3.78631 | − | 5.08590i | 0.159291 | − | 0.213966i | ||||
\(566\) | −84.3423 | −3.54517 | ||||||||
\(567\) | 29.8908 | − | 17.6149i | 1.25529 | − | 0.739756i | ||||
\(568\) | 87.0259 | 3.65152 | ||||||||
\(569\) | −9.72800 | + | 13.0670i | −0.407819 | + | 0.547796i | −0.957820 | − | 0.287368i | \(-0.907220\pi\) |
0.550001 | + | 0.835164i | \(0.314627\pi\) | |||||||
\(570\) | −1.23473 | + | 6.53115i | −0.0517170 | + | 0.273560i | ||||
\(571\) | −5.80130 | − | 19.3777i | −0.242777 | − | 0.810931i | −0.989341 | − | 0.145617i | \(-0.953483\pi\) |
0.746564 | − | 0.665313i | \(-0.231702\pi\) | |||||||
\(572\) | 19.8588 | + | 13.0613i | 0.830337 | + | 0.546121i | ||||
\(573\) | −33.6149 | + | 7.53095i | −1.40428 | + | 0.314610i | ||||
\(574\) | −65.1341 | − | 69.0382i | −2.71865 | − | 2.88160i | ||||
\(575\) | −2.58360 | − | 0.940353i | −0.107744 | − | 0.0392154i | ||||
\(576\) | 21.5872 | + | 0.531747i | 0.899466 | + | 0.0221561i | ||||
\(577\) | 3.36027 | − | 1.22304i | 0.139890 | − | 0.0509157i | −0.271126 | − | 0.962544i | \(-0.587396\pi\) |
0.411016 | + | 0.911628i | \(0.365174\pi\) | |||||||
\(578\) | 14.3556 | + | 7.20967i | 0.597116 | + | 0.299883i | ||||
\(579\) | −27.4905 | + | 2.87052i | −1.14247 | + | 0.119295i | ||||
\(580\) | −1.31422 | + | 3.04671i | −0.0545701 | + | 0.126508i | ||||
\(581\) | 2.53914 | − | 0.296783i | 0.105341 | − | 0.0123126i | ||||
\(582\) | 20.0194 | + | 69.9950i | 0.829830 | + | 2.90139i | ||||
\(583\) | −7.52109 | + | 4.94670i | −0.311492 | + | 0.204871i | ||||
\(584\) | −43.8997 | − | 36.8362i | −1.81658 | − | 1.52429i | ||||
\(585\) | 1.18657 | − | 3.63510i | 0.0490586 | − | 0.150293i | ||||
\(586\) | 39.9845 | − | 33.5510i | 1.65174 | − | 1.38598i | ||||
\(587\) | 2.27715 | − | 7.60620i | 0.0939879 | − | 0.313941i | −0.898048 | − | 0.439898i | \(-0.855015\pi\) |
0.992036 | + | 0.125956i | \(0.0401999\pi\) | |||||||
\(588\) | −55.0270 | + | 35.2289i | −2.26928 | + | 1.45282i | ||||
\(589\) | −15.4262 | + | 7.74735i | −0.635627 | + | 0.319224i | ||||
\(590\) | −3.39007 | + | 3.59327i | −0.139567 | + | 0.147933i | ||||
\(591\) | 5.62920 | + | 10.0334i | 0.231554 | + | 0.412718i | ||||
\(592\) | −5.33615 | − | 12.3706i | −0.219314 | − | 0.508428i | ||||
\(593\) | −13.0180 | − | 22.5478i | −0.534584 | − | 0.925926i | −0.999183 | − | 0.0404055i | \(-0.987135\pi\) |
0.464599 | − | 0.885521i | \(-0.346198\pi\) | |||||||
\(594\) | −1.62069 | + | 16.9872i | −0.0664979 | + | 0.696993i | ||||
\(595\) | −3.00650 | + | 5.20740i | −0.123254 | + | 0.213483i | ||||
\(596\) | −41.2215 | − | 4.81810i | −1.68850 | − | 0.197357i | ||||
\(597\) | −1.58385 | − | 9.67783i | −0.0648225 | − | 0.396087i | ||||
\(598\) | 5.60442 | + | 1.32827i | 0.229182 | + | 0.0543170i | ||||
\(599\) | −1.09425 | + | 18.7875i | −0.0447096 | + | 0.767635i | 0.899222 | + | 0.437493i | \(0.144134\pi\) |
−0.943931 | + | 0.330142i | \(0.892903\pi\) | |||||||
\(600\) | −23.8042 | − | 57.1079i | −0.971804 | − | 2.33142i | ||||
\(601\) | 7.82024 | − | 1.85343i | 0.318994 | − | 0.0756030i | −0.0679995 | − | 0.997685i | \(-0.521662\pi\) |
0.386994 | + | 0.922082i | \(0.373513\pi\) | |||||||
\(602\) | 6.31568 | + | 35.8180i | 0.257408 | + | 1.45983i | ||||
\(603\) | −0.455501 | + | 0.459583i | −0.0185494 | + | 0.0187157i | ||||
\(604\) | −2.52485 | + | 14.3191i | −0.102734 | + | 0.582636i | ||||
\(605\) | 0.177402 | + | 3.04588i | 0.00721242 | + | 0.123833i | ||||
\(606\) | −12.9375 | − | 8.73923i | −0.525550 | − | 0.355007i | ||||
\(607\) | 11.5794 | + | 15.5538i | 0.469992 | + | 0.631309i | 0.972400 | − | 0.233322i | \(-0.0749596\pi\) |
−0.502407 | + | 0.864631i | \(0.667552\pi\) | |||||||
\(608\) | −27.1006 | − | 36.4024i | −1.09907 | − | 1.47631i | ||||
\(609\) | −11.8041 | − | 7.97362i | −0.478326 | − | 0.323107i | ||||
\(610\) | 0.453667 | + | 7.78916i | 0.0183684 | + | 0.315374i | ||||
\(611\) | −2.59729 | + | 14.7300i | −0.105075 | + | 0.595910i | ||||
\(612\) | 18.2301 | + | 66.8414i | 0.736908 | + | 2.70190i | ||||
\(613\) | −2.54229 | − | 14.4180i | −0.102682 | − | 0.582339i | −0.992121 | − | 0.125284i | \(-0.960016\pi\) |
0.889439 | − | 0.457054i | \(-0.151095\pi\) | |||||||
\(614\) | −13.7962 | + | 3.26976i | −0.556770 | + | 0.131957i | ||||
\(615\) | −2.03945 | − | 4.89277i | −0.0822385 | − | 0.197295i | ||||
\(616\) | 2.06017 | − | 35.3717i | 0.0830066 | − | 1.42517i | ||||
\(617\) | −20.1538 | − | 4.77655i | −0.811363 | − | 0.192297i | −0.196065 | − | 0.980591i | \(-0.562816\pi\) |
−0.615298 | + | 0.788294i | \(0.710964\pi\) | |||||||
\(618\) | −4.53131 | − | 27.6878i | −0.182276 | − | 1.11377i | ||||
\(619\) | 25.7358 | + | 3.00809i | 1.03441 | + | 0.120905i | 0.616316 | − | 0.787499i | \(-0.288624\pi\) |
0.418094 | + | 0.908404i | \(0.362698\pi\) | |||||||
\(620\) | −2.95618 | + | 5.12026i | −0.118723 | + | 0.205635i | ||||
\(621\) | 0.733226 | + | 2.82498i | 0.0294233 | + | 0.113363i | ||||
\(622\) | −14.3271 | − | 24.8154i | −0.574466 | − | 0.995005i | ||||
\(623\) | 2.55008 | + | 5.91176i | 0.102167 | + | 0.236850i | ||||
\(624\) | 31.4306 | + | 56.0214i | 1.25823 | + | 2.24265i | ||||
\(625\) | −16.0823 | + | 17.0463i | −0.643293 | + | 0.681851i | ||||
\(626\) | 57.7803 | − | 29.0184i | 2.30937 | − | 1.15981i | ||||
\(627\) | 8.34291 | − | 5.34122i | 0.333184 | − | 0.213308i | ||||
\(628\) | −12.8043 | + | 42.7694i | −0.510948 | + | 1.70668i | ||||
\(629\) | 5.26686 | − | 4.41942i | 0.210004 | − | 0.176214i | ||||
\(630\) | −9.56261 | + | 2.01904i | −0.380983 | + | 0.0804405i | ||||
\(631\) | −13.6194 | − | 11.4280i | −0.542180 | − | 0.454943i | 0.330102 | − | 0.943945i | \(-0.392917\pi\) |
−0.872283 | + | 0.489002i | \(0.837361\pi\) | |||||||
\(632\) | −50.8543 | + | 33.4474i | −2.02287 | + | 1.33046i | ||||
\(633\) | −7.27669 | − | 25.4419i | −0.289222 | − | 1.01123i | ||||
\(634\) | −60.5568 | + | 7.07808i | −2.40502 | + | 0.281106i | ||||
\(635\) | 0.0607794 | − | 0.140902i | 0.00241196 | − | 0.00559154i | ||||
\(636\) | −59.0852 | + | 6.16959i | −2.34288 | + | 0.244640i | ||||
\(637\) | −27.6269 | − | 13.8747i | −1.09462 | − | 0.549737i | ||||
\(638\) | 6.58363 | − | 2.39625i | 0.260648 | − | 0.0948683i | ||||
\(639\) | −18.6457 | + | 30.5333i | −0.737613 | + | 1.20788i | ||||
\(640\) | 0.371486 | + | 0.135210i | 0.0146843 | + | 0.00534464i | ||||
\(641\) | 3.24563 | + | 3.44017i | 0.128195 | + | 0.135878i | 0.788291 | − | 0.615302i | \(-0.210966\pi\) |
−0.660096 | + | 0.751181i | \(0.729485\pi\) | |||||||
\(642\) | 6.81815 | − | 1.52751i | 0.269091 | − | 0.0602861i | ||||
\(643\) | 7.04365 | + | 4.63268i | 0.277774 | + | 0.182695i | 0.680750 | − | 0.732515i | \(-0.261654\pi\) |
−0.402976 | + | 0.915211i | \(0.632024\pi\) | |||||||
\(644\) | −2.98006 | − | 9.95409i | −0.117431 | − | 0.392246i | ||||
\(645\) | −0.377325 | + | 1.99588i | −0.0148572 | + | 0.0785878i | ||||
\(646\) | 34.0279 | − | 45.7074i | 1.33881 | − | 1.79833i | ||||
\(647\) | 23.1964 | 0.911943 | 0.455971 | − | 0.889994i | \(-0.349292\pi\) | ||||
0.455971 | + | 0.889994i | \(0.349292\pi\) | |||||||
\(648\) | −35.5993 | + | 55.1925i | −1.39847 | + | 2.16817i | ||||
\(649\) | 7.36248 | 0.289003 | ||||||||
\(650\) | 29.9740 | − | 40.2621i | 1.17568 | − | 1.57921i | ||||
\(651\) | −19.2417 | − | 16.5537i | −0.754141 | − | 0.648790i | ||||
\(652\) | −3.32466 | − | 11.1051i | −0.130204 | − | 0.434910i | ||||
\(653\) | −30.1768 | − | 19.8476i | −1.18091 | − | 0.776697i | −0.201680 | − | 0.979451i | \(-0.564640\pi\) |
−0.979230 | + | 0.202755i | \(0.935011\pi\) | |||||||
\(654\) | 38.4195 | + | 41.7402i | 1.50232 | + | 1.63217i | ||||
\(655\) | 1.55821 | + | 1.65161i | 0.0608844 | + | 0.0645337i | ||||
\(656\) | 83.6768 | + | 30.4559i | 3.26703 | + | 1.18910i | ||||
\(657\) | 22.3299 | − | 7.51003i | 0.871171 | − | 0.292994i | ||||
\(658\) | 35.9237 | − | 13.0752i | 1.40045 | − | 0.509722i | ||||
\(659\) | 27.0962 | + | 13.6082i | 1.05552 | + | 0.530100i | 0.889931 | − | 0.456095i | \(-0.150752\pi\) |
0.165586 | + | 0.986195i | \(0.447049\pi\) | |||||||
\(660\) | 1.38211 | − | 3.09861i | 0.0537985 | − | 0.120613i | ||||
\(661\) | −5.10606 | + | 11.8372i | −0.198603 | + | 0.460413i | −0.988192 | − | 0.153224i | \(-0.951035\pi\) |
0.789589 | + | 0.613636i | \(0.210294\pi\) | |||||||
\(662\) | 40.5978 | − | 4.74521i | 1.57788 | − | 0.184428i | ||||
\(663\) | −22.7881 | + | 23.5658i | −0.885017 | + | 0.915219i | ||||
\(664\) | −4.04318 | + | 2.65924i | −0.156906 | + | 0.103199i | ||||
\(665\) | 4.34629 | + | 3.64697i | 0.168542 | + | 0.141424i | ||||
\(666\) | 11.0643 | + | 1.57029i | 0.428733 | + | 0.0608477i | ||||
\(667\) | 0.917946 | − | 0.770248i | 0.0355430 | − | 0.0298241i | ||||
\(668\) | −0.693166 | + | 2.31534i | −0.0268194 | + | 0.0895830i | ||||
\(669\) | −1.61343 | − | 35.1540i | −0.0623788 | − | 1.35913i | ||||
\(670\) | 0.162888 | − | 0.0818055i | 0.00629292 | − | 0.00316042i | ||||
\(671\) | 7.97986 | − | 8.45815i | 0.308059 | − | 0.326523i | ||||
\(672\) | 34.0741 | − | 57.3746i | 1.31444 | − | 2.21327i | ||||
\(673\) | 2.55712 | + | 5.92808i | 0.0985698 | + | 0.228511i | 0.960365 | − | 0.278746i | \(-0.0899188\pi\) |
−0.861795 | + | 0.507257i | \(0.830660\pi\) | |||||||
\(674\) | 12.5587 | + | 21.7523i | 0.483744 | + | 0.837869i | ||||
\(675\) | 25.1367 | + | 3.88383i | 0.967510 | + | 0.149489i | ||||
\(676\) | −5.91752 | + | 10.2494i | −0.227597 | + | 0.394209i | ||||
\(677\) | −17.4366 | − | 2.03804i | −0.670142 | − | 0.0783284i | −0.225784 | − | 0.974177i | \(-0.572494\pi\) |
−0.444358 | + | 0.895849i | \(0.646568\pi\) | |||||||
\(678\) | −82.6448 | − | 31.2380i | −3.17396 | − | 1.19969i | ||||
\(679\) | 60.4678 | + | 14.3311i | 2.32054 | + | 0.549978i | ||||
\(680\) | 0.661837 | − | 11.3633i | 0.0253803 | − | 0.435763i | ||||
\(681\) | −1.06001 | + | 1.38783i | −0.0406195 | + | 0.0531816i | ||||
\(682\) | 12.1475 | − | 2.87902i | 0.465153 | − | 0.110243i | ||||
\(683\) | 3.16828 | + | 17.9682i | 0.121231 | + | 0.687535i | 0.983475 | + | 0.181042i | \(0.0579471\pi\) |
−0.862244 | + | 0.506492i | \(0.830942\pi\) | |||||||
\(684\) | 65.0984 | − | 5.98814i | 2.48910 | − | 0.228962i | ||||
\(685\) | 1.11782 | − | 6.33946i | 0.0427097 | − | 0.242218i | ||||
\(686\) | 0.503230 | + | 8.64012i | 0.0192134 | + | 0.329881i | ||||
\(687\) | −15.7850 | + | 7.68563i | −0.602237 | + | 0.293225i | ||||
\(688\) | −20.3764 | − | 27.3702i | −0.776843 | − | 1.04348i | ||||
\(689\) | −16.7853 | − | 22.5466i | −0.639470 | − | 0.858957i | ||||
\(690\) | 0.0579067 | − | 0.820111i | 0.00220447 | − | 0.0312211i | ||||
\(691\) | 2.37017 | + | 40.6942i | 0.0901653 | + | 1.54808i | 0.675544 | + | 0.737319i | \(0.263909\pi\) |
−0.585379 | + | 0.810760i | \(0.699054\pi\) | |||||||
\(692\) | −4.44812 | + | 25.2266i | −0.169092 | + | 0.958970i | ||||
\(693\) | 11.9689 | + | 8.30138i | 0.454661 | + | 0.315343i | ||||
\(694\) | 9.69020 | + | 54.9559i | 0.367835 | + | 2.08610i | ||||
\(695\) | 4.87679 | − | 1.15582i | 0.184987 | − | 0.0438428i | ||||
\(696\) | 26.7425 | + | 3.46005i | 1.01367 | + | 0.131153i | ||||
\(697\) | −2.64231 | + | 45.3666i | −0.100084 | + | 1.71838i | ||||
\(698\) | −78.2756 | − | 18.5517i | −2.96277 | − | 0.702191i | ||||
\(699\) | −26.2713 | + | 21.4986i | −0.993672 | + | 0.813151i | ||||
\(700\) | −89.9399 | − | 10.5125i | −3.39941 | − | 0.397334i | ||||
\(701\) | 21.5739 | − | 37.3671i | 0.814834 | − | 1.41133i | −0.0946129 | − | 0.995514i | \(-0.530161\pi\) |
0.909447 | − | 0.415820i | \(-0.136505\pi\) | |||||||
\(702\) | −53.2466 | − | 1.96789i | −2.00967 | − | 0.0742734i | ||||
\(703\) | −3.24372 | − | 5.61828i | −0.122339 | − | 0.211897i | ||||
\(704\) | 3.59073 | + | 8.32425i | 0.135331 | + | 0.313732i | ||||
\(705\) | 2.13487 | + | 0.0262897i | 0.0804040 | + | 0.000990126i | ||||
\(706\) | −35.9692 | + | 38.1252i | −1.35372 | + | 1.43486i | ||||
\(707\) | −11.9093 | + | 5.98105i | −0.447893 | + | 0.224941i | ||||
\(708\) | 43.1468 | + | 22.3386i | 1.62156 | + | 0.839537i | ||||
\(709\) | 2.70162 | − | 9.02404i | 0.101461 | − | 0.338905i | −0.892153 | − | 0.451733i | \(-0.850806\pi\) |
0.993614 | + | 0.112828i | \(0.0359911\pi\) | |||||||
\(710\) | 7.72023 | − | 6.47804i | 0.289735 | − | 0.243116i | ||||
\(711\) | −0.839358 | − | 25.0086i | −0.0314784 | − | 0.937898i | ||||
\(712\) | −9.33630 | − | 7.83409i | −0.349893 | − | 0.293595i | ||||
\(713\) | 1.78393 | − | 1.17331i | 0.0668088 | − | 0.0439409i | ||||
\(714\) | 81.2845 | + | 20.3251i | 3.04200 | + | 0.760647i | ||||
\(715\) | 1.59451 | − | 0.186372i | 0.0596314 | − | 0.00696991i | ||||
\(716\) | −34.4451 | + | 79.8528i | −1.28727 | + | 2.98424i | ||||
\(717\) | −29.0373 | − | 40.0235i | −1.08442 | − | 1.49470i | ||||
\(718\) | −38.9893 | − | 19.5812i | −1.45507 | − | 0.730763i | ||||
\(719\) | 20.4128 | − | 7.42965i | 0.761268 | − | 0.277079i | 0.0679289 | − | 0.997690i | \(-0.478361\pi\) |
0.693339 | + | 0.720611i | \(0.256139\pi\) | |||||||
\(720\) | 7.16707 | − | 5.71913i | 0.267101 | − | 0.213140i | ||||
\(721\) | −22.5042 | − | 8.19087i | −0.838101 | − | 0.305044i | ||||
\(722\) | −2.90021 | − | 3.07405i | −0.107935 | − | 0.114404i | ||||
\(723\) | 6.29281 | − | 20.1146i | 0.234032 | − | 0.748070i | ||||
\(724\) | −47.0216 | − | 30.9266i | −1.74755 | − | 1.14938i | ||||
\(725\) | −2.99506 | − | 10.0042i | −0.111234 | − | 0.371546i | ||||
\(726\) | 40.1263 | − | 14.0477i | 1.48923 | − | 0.521359i | ||||
\(727\) | 13.4477 | − | 18.0635i | 0.498749 | − | 0.669937i | −0.479459 | − | 0.877565i | \(-0.659167\pi\) |
0.978208 | + | 0.207628i | \(0.0665743\pi\) | |||||||
\(728\) | 110.635 | 4.10039 | ||||||||
\(729\) | −11.7372 | − | 24.3154i | −0.434710 | − | 0.900571i | ||||
\(730\) | −6.63645 | −0.245626 | ||||||||
\(731\) | 10.3987 | − | 13.9679i | 0.384611 | − | 0.516622i | ||||
\(732\) | 72.4279 | − | 25.3561i | 2.67701 | − | 0.937187i | ||||
\(733\) | −7.81755 | − | 26.1124i | −0.288748 | − | 0.964485i | −0.972134 | − | 0.234428i | \(-0.924678\pi\) |
0.683386 | − | 0.730058i | \(-0.260507\pi\) | |||||||
\(734\) | −53.1664 | − | 34.9681i | −1.96241 | − | 1.29070i | ||||
\(735\) | −1.31760 | + | 4.21164i | −0.0486006 | + | 0.155349i | ||||
\(736\) | 3.85216 | + | 4.08305i | 0.141992 | + | 0.150503i | ||||
\(737\) | −0.255275 | − | 0.0929125i | −0.00940318 | − | 0.00342248i | ||||
\(738\) | −57.7345 | + | 46.0706i | −2.12524 | + | 1.69588i | ||||
\(739\) | −29.4451 | + | 10.7172i | −1.08316 | + | 0.394237i | −0.821082 | − | 0.570811i | \(-0.806629\pi\) |
−0.262075 | + | 0.965048i | \(0.584407\pi\) | |||||||
\(740\) | −1.98560 | − | 0.997207i | −0.0729922 | − | 0.0366580i | ||||
\(741\) | 18.1643 | + | 25.0368i | 0.667284 | + | 0.919749i | ||||
\(742\) | −28.4556 | + | 65.9675i | −1.04464 | + | 2.42174i | ||||
\(743\) | 43.2335 | − | 5.05328i | 1.58608 | − | 0.185387i | 0.723146 | − | 0.690695i | \(-0.242695\pi\) |
0.862939 | + | 0.505309i | \(0.168621\pi\) | |||||||
\(744\) | 46.6136 | + | 11.6557i | 1.70894 | + | 0.427317i | ||||
\(745\) | −2.34192 | + | 1.54031i | −0.0858014 | + | 0.0564325i | ||||
\(746\) | 25.8831 | + | 21.7185i | 0.947648 | + | 0.795171i | ||||
\(747\) | −0.0667334 | − | 1.98832i | −0.00244165 | − | 0.0727488i | ||||
\(748\) | −22.2819 | + | 18.6967i | −0.814706 | + | 0.683620i | ||||
\(749\) | 1.71055 | − | 5.71363i | 0.0625020 | − | 0.208771i | ||||
\(750\) | −12.8620 | − | 6.65910i | −0.469653 | − | 0.243156i | ||||
\(751\) | 45.8151 | − | 23.0092i | 1.67182 | − | 0.839617i | 0.677221 | − | 0.735779i | \(-0.263184\pi\) |
0.994594 | − | 0.103838i | \(-0.0331124\pi\) | |||||||
\(752\) | −24.6127 | + | 26.0880i | −0.897533 | + | 0.951330i | ||||
\(753\) | −7.57568 | − | 0.0932899i | −0.276073 | − | 0.00339967i | ||||
\(754\) | 8.66487 | + | 20.0874i | 0.315556 | + | 0.731541i | ||||
\(755\) | 0.491017 | + | 0.850466i | 0.0178699 | + | 0.0309516i | ||||
\(756\) | 44.9547 | + | 84.9641i | 1.63499 | + | 3.09012i | ||||
\(757\) | −6.51051 | + | 11.2765i | −0.236629 | + | 0.409853i | −0.959745 | − | 0.280874i | \(-0.909376\pi\) |
0.723116 | + | 0.690727i | \(0.242709\pi\) | |||||||
\(758\) | 28.8436 | + | 3.37133i | 1.04764 | + | 0.122452i | ||||
\(759\) | −0.948267 | + | 0.775995i | −0.0344199 | + | 0.0281668i | ||||
\(760\) | −10.4507 | − | 2.47687i | −0.379088 | − | 0.0898456i | ||||
\(761\) | 1.37835 | − | 23.6653i | 0.0499651 | − | 0.857868i | −0.876480 | − | 0.481438i | \(-0.840115\pi\) |
0.926445 | − | 0.376430i | \(-0.122848\pi\) | |||||||
\(762\) | −2.12058 | − | 0.274369i | −0.0768206 | − | 0.00993935i | ||||
\(763\) | 47.1190 | − | 11.1674i | 1.70582 | − | 0.404288i | ||||
\(764\) | −16.5730 | − | 93.9902i | −0.599591 | − | 3.40045i | ||||
\(765\) | 3.84505 | + | 2.66685i | 0.139018 | + | 0.0964201i | ||||
\(766\) | −14.3730 | + | 81.5136i | −0.519319 | + | 2.94520i | ||||
\(767\) | 1.33670 | + | 22.9503i | 0.0482655 | + | 0.828687i | ||||
\(768\) | 2.14419 | − | 30.3673i | 0.0773717 | − | 1.09579i | ||||
\(769\) | 23.9879 | + | 32.2214i | 0.865027 | + | 1.16193i | 0.985577 | + | 0.169226i | \(0.0541268\pi\) |
−0.120550 | + | 0.992707i | \(0.538466\pi\) | |||||||
\(770\) | −2.45024 | − | 3.29125i | −0.0883006 | − | 0.118608i | ||||
\(771\) | 40.4029 | − | 19.6719i | 1.45508 | − | 0.708466i | ||||
\(772\) | −4.45260 | − | 76.4481i | −0.160252 | − | 2.75143i | ||||
\(773\) | −0.721794 | + | 4.09350i | −0.0259611 | + | 0.147233i | −0.995033 | − | 0.0995459i | \(-0.968261\pi\) |
0.969072 | + | 0.246779i | \(0.0793721\pi\) | |||||||
\(774\) | 28.1849 | − | 2.59262i | 1.01309 | − | 0.0931897i | ||||
\(775\) | −3.23122 | − | 18.3252i | −0.116069 | − | 0.658259i | ||||
\(776\) | −114.465 | + | 27.1287i | −4.10906 | + | 0.973865i | ||||
\(777\) | 5.79011 | − | 7.58077i | 0.207719 | − | 0.271958i | ||||
\(778\) | −1.04004 | + | 17.8568i | −0.0372872 | + | 0.640196i | ||||
\(779\) | 41.7234 | + | 9.88862i | 1.49490 | + | 0.354297i | ||||
\(780\) | 9.90990 | + | 3.74573i | 0.354831 | + | 0.134119i | ||||
\(781\) | −14.9184 | − | 1.74371i | −0.533822 | − | 0.0623948i | ||||
\(782\) | −3.52414 | + | 6.10399i | −0.126023 | + | 0.218278i | ||||
\(783\) | −6.94367 | + | 8.64136i | −0.248147 | + | 0.308817i | ||||
\(784\) | −37.0659 | − | 64.2001i | −1.32378 | − | 2.29286i | ||||
\(785\) | 1.19431 | + | 2.76872i | 0.0426267 | + | 0.0988199i | ||||
\(786\) | 16.1562 | − | 27.2041i | 0.576272 | − | 0.970340i | ||||
\(787\) | 1.06669 | − | 1.13063i | 0.0380235 | − | 0.0403026i | −0.708083 | − | 0.706130i | \(-0.750440\pi\) |
0.746106 | + | 0.665827i | \(0.231921\pi\) | |||||||
\(788\) | −28.4837 | + | 14.3051i | −1.01469 | + | 0.509597i | ||||
\(789\) | 2.26120 | + | 49.2679i | 0.0805009 | + | 1.75398i | ||||
\(790\) | −2.02162 | + | 6.75267i | −0.0719259 | + | 0.240249i | ||||
\(791\) | −57.7720 | + | 48.4765i | −2.05414 | + | 1.72363i | ||||
\(792\) | −27.2997 | − | 3.87449i | −0.970053 | − | 0.137674i | ||||
\(793\) | 27.8145 | + | 23.3392i | 0.987723 | + | 0.828798i | ||||
\(794\) | 8.09979 | − | 5.32732i | 0.287451 | − | 0.189059i | ||||
\(795\) | −2.78915 | + | 2.88433i | −0.0989209 | + | 0.102297i | ||||
\(796\) | 26.9858 | − | 3.15419i | 0.956488 | − | 0.111797i | ||||
\(797\) | 5.89970 | − | 13.6770i | 0.208978 | − | 0.484466i | −0.781199 | − | 0.624281i | \(-0.785392\pi\) |
0.990178 | + | 0.139816i | \(0.0446511\pi\) | |||||||
\(798\) | 32.2052 | − | 72.2023i | 1.14005 | − | 2.55593i | ||||
\(799\) | −16.3567 | − | 8.21462i | −0.578657 | − | 0.290612i | ||||
\(800\) | 45.9696 | − | 16.7316i | 1.62527 | − | 0.591550i | ||||
\(801\) | 4.74896 | − | 1.59718i | 0.167796 | − | 0.0564337i | ||||
\(802\) | −81.2280 | − | 29.5646i | −2.86826 | − | 1.04396i | ||||
\(803\) | 6.78742 | + | 7.19425i | 0.239523 | + | 0.253879i | ||||
\(804\) | −1.21410 | − | 1.31904i | −0.0428179 | − | 0.0465188i | ||||
\(805\) | −0.586331 | − | 0.385636i | −0.0206655 | − | 0.0135919i | ||||
\(806\) | 11.1799 | + | 37.3435i | 0.393796 | + | 1.31537i | ||||
\(807\) | −36.8290 | − | 31.6841i | −1.29644 | − | 1.11533i | ||||
\(808\) | 15.0648 | − | 20.2356i | 0.529979 | − | 0.711885i | ||||
\(809\) | 14.6489 | 0.515028 | 0.257514 | − | 0.966275i | \(-0.417097\pi\) | ||||
0.257514 | + | 0.966275i | \(0.417097\pi\) | |||||||
\(810\) | 0.950346 | + | 7.54618i | 0.0333917 | + | 0.265146i | ||||
\(811\) | 24.5156 | 0.860859 | 0.430429 | − | 0.902624i | \(-0.358362\pi\) | ||||
0.430429 | + | 0.902624i | \(0.358362\pi\) | |||||||
\(812\) | 23.5674 | − | 31.6566i | 0.827055 | − | 1.11093i | ||||
\(813\) | −3.57685 | + | 18.9200i | −0.125446 | + | 0.663552i | ||||
\(814\) | 1.34558 | + | 4.49457i | 0.0471627 | + | 0.157534i | ||||
\(815\) | −0.654131 | − | 0.430229i | −0.0229132 | − | 0.0150703i | ||||
\(816\) | −76.7062 | + | 17.1850i | −2.68525 | + | 0.601594i | ||||
\(817\) | −11.2757 | − | 11.9515i | −0.394486 | − | 0.418130i | ||||
\(818\) | −59.5777 | − | 21.6845i | −2.08309 | − | 0.758181i | ||||
\(819\) | −23.7040 | + | 38.8166i | −0.828285 | + | 1.35636i | ||||
\(820\) | 13.8004 | − | 5.02295i | 0.481932 | − | 0.175409i | ||||
\(821\) | 24.5103 | + | 12.3096i | 0.855417 | + | 0.429606i | 0.821765 | − | 0.569827i | \(-0.192990\pi\) |
0.0336521 | + | 0.999434i | \(0.489286\pi\) | |||||||
\(822\) | −89.2140 | + | 9.31560i | −3.11170 | + | 0.324919i | ||||
\(823\) | −17.8578 | + | 41.3990i | −0.622483 | + | 1.44308i | 0.256651 | + | 0.966504i | \(0.417381\pi\) |
−0.879134 | + | 0.476574i | \(0.841878\pi\) | |||||||
\(824\) | 45.0278 | − | 5.26300i | 1.56862 | − | 0.183345i | ||||
\(825\) | 2.93638 | + | 10.2667i | 0.102232 | + | 0.357439i | ||||
\(826\) | 49.0918 | − | 32.2882i | 1.70812 | − | 1.12345i | ||||
\(827\) | 13.1212 | + | 11.0100i | 0.456268 | + | 0.382854i | 0.841756 | − | 0.539859i | \(-0.181522\pi\) |
−0.385488 | + | 0.922713i | \(0.625967\pi\) | |||||||
\(828\) | −7.91165 | + | 1.67046i | −0.274949 | + | 0.0580525i | ||||
\(829\) | −29.6171 | + | 24.8517i | −1.02865 | + | 0.863136i | −0.990689 | − | 0.136143i | \(-0.956529\pi\) |
−0.0379567 | + | 0.999279i | \(0.512085\pi\) | |||||||
\(830\) | −0.160729 | + | 0.536873i | −0.00557899 | + | 0.0186351i | ||||
\(831\) | −15.9265 | + | 10.1963i | −0.552485 | + | 0.353707i | ||||
\(832\) | −25.2964 | + | 12.7043i | −0.876995 | + | 0.440443i | ||||
\(833\) | 25.9618 | − | 27.5179i | 0.899523 | − | 0.953439i | ||||
\(834\) | −34.1713 | − | 60.9064i | −1.18326 | − | 2.10902i | ||||
\(835\) | 0.0646543 | + | 0.149886i | 0.00223746 | + | 0.00518701i | ||||
\(836\) | 13.7228 | + | 23.7686i | 0.474613 | + | 0.822053i | ||||
\(837\) | −14.0766 | + | 13.8573i | −0.486559 | + | 0.478977i | ||||
\(838\) | −7.35419 | + | 12.7378i | −0.254046 | + | 0.440021i | ||||
\(839\) | 17.0363 | + | 1.99126i | 0.588160 | + | 0.0687461i | 0.404968 | − | 0.914331i | \(-0.367283\pi\) |
0.183192 | + | 0.983077i | \(0.441357\pi\) | |||||||
\(840\) | −2.55060 | − | 15.5850i | −0.0880040 | − | 0.537734i | ||||
\(841\) | −23.7896 | − | 5.63824i | −0.820331 | − | 0.194422i | ||||
\(842\) | −4.93458 | + | 84.7234i | −0.170057 | + | 2.91976i | ||||
\(843\) | −3.12581 | − | 7.49902i | −0.107659 | − | 0.258280i | ||||
\(844\) | 71.3382 | − | 16.9075i | 2.45556 | − | 0.581979i | ||||
\(845\) | 0.138804 | + | 0.787196i | 0.00477500 | + | 0.0270804i | ||||
\(846\) | −7.82808 | − | 28.7020i | −0.269135 | − | 0.986794i | ||||
\(847\) | 6.30166 | − | 35.7385i | 0.216527 | − | 1.22799i | ||||
\(848\) | −3.91908 | − | 67.2879i | −0.134582 | − | 2.31068i | ||||
\(849\) | 46.4267 | + | 31.3611i | 1.59336 | + | 1.07631i | ||||
\(850\) | 36.6801 | + | 49.2699i | 1.25812 | + | 1.68994i | ||||
\(851\) | 0.479182 | + | 0.643653i | 0.0164261 | + | 0.0220641i | ||||
\(852\) | −82.1365 | − | 55.4829i | −2.81395 | − | 1.90081i | ||||
\(853\) | −0.292249 | − | 5.01772i | −0.0100064 | − | 0.171804i | −0.999609 | − | 0.0279726i | \(-0.991095\pi\) |
0.989602 | − | 0.143831i | \(-0.0459422\pi\) | |||||||
\(854\) | 16.1151 | − | 91.3932i | 0.551447 | − | 3.12741i | ||||
\(855\) | 3.10814 | − | 3.13600i | 0.106296 | − | 0.107249i | ||||
\(856\) | 1.96052 | + | 11.1186i | 0.0670091 | + | 0.380027i | ||||
\(857\) | 27.9431 | − | 6.62264i | 0.954518 | − | 0.226225i | 0.276288 | − | 0.961075i | \(-0.410896\pi\) |
0.678230 | + | 0.734850i | \(0.262747\pi\) | |||||||
\(858\) | −8.60661 | − | 20.6478i | −0.293825 | − | 0.704904i | ||||
\(859\) | 3.32332 | − | 57.0592i | 0.113390 | − | 1.94684i | −0.164837 | − | 0.986321i | \(-0.552710\pi\) |
0.278227 | − | 0.960515i | \(-0.410253\pi\) | |||||||
\(860\) | −5.47593 | − | 1.29782i | −0.186728 | − | 0.0442553i | ||||
\(861\) | 10.1830 | + | 62.2213i | 0.347035 | + | 2.12050i | ||||
\(862\) | −3.65630 | − | 0.427360i | −0.124534 | − | 0.0145559i | ||||
\(863\) | −16.2419 | + | 28.1317i | −0.552880 | + | 0.957616i | 0.445185 | + | 0.895438i | \(0.353138\pi\) |
−0.998065 | + | 0.0621774i | \(0.980196\pi\) | |||||||
\(864\) | −42.3033 | − | 30.1189i | −1.43919 | − | 1.02467i | ||||
\(865\) | 0.865045 | + | 1.49830i | 0.0294124 | + | 0.0509438i | ||||
\(866\) | 6.34206 | + | 14.7026i | 0.215512 | + | 0.499613i | ||||
\(867\) | −5.22137 | − | 9.30647i | −0.177327 | − | 0.316064i | ||||
\(868\) | 48.2586 | − | 51.1512i | 1.63800 | − | 1.73618i | ||||
\(869\) | 9.38785 | − | 4.71475i | 0.318461 | − | 0.159937i | ||||
\(870\) | 2.62993 | − | 1.68371i | 0.0891631 | − | 0.0570832i | ||||
\(871\) | 0.243280 | − | 0.812611i | 0.00824322 | − | 0.0275343i | ||||
\(872\) | −70.2210 | + | 58.9224i | −2.37798 | + | 1.99536i | ||||
\(873\) | 15.0065 | − | 45.9729i | 0.507893 | − | 1.55595i | ||||
\(874\) | 5.09462 | + | 4.27489i | 0.172328 | + | 0.144600i | ||||
\(875\) | −10.3292 | + | 6.79361i | −0.349190 | + | 0.229666i | ||||
\(876\) | 17.9486 | + | 62.7547i | 0.606426 | + | 2.12029i | ||||
\(877\) | −2.07599 | + | 0.242648i | −0.0701011 | + | 0.00819364i | −0.151071 | − | 0.988523i | \(-0.548272\pi\) |
0.0809701 | + | 0.996717i | \(0.474198\pi\) | |||||||
\(878\) | −13.7450 | + | 31.8645i | −0.463872 | + | 1.07538i | ||||
\(879\) | −34.4850 | + | 3.60087i | −1.16315 | + | 0.121454i | ||||
\(880\) | 3.44006 | + | 1.72766i | 0.115964 | + | 0.0582395i | ||||
\(881\) | 3.24698 | − | 1.18180i | 0.109394 | − | 0.0398160i | −0.286743 | − | 0.958007i | \(-0.592573\pi\) |
0.396137 | + | 0.918191i | \(0.370351\pi\) | |||||||
\(882\) | 61.4727 | + | 1.51423i | 2.06989 | + | 0.0509867i | ||||
\(883\) | −51.7593 | − | 18.8389i | −1.74184 | − | 0.633978i | −0.742484 | − | 0.669863i | \(-0.766353\pi\) |
−0.999356 | + | 0.0358855i | \(0.988575\pi\) | |||||||
\(884\) | −62.3267 | − | 66.0625i | −2.09627 | − | 2.22192i | ||||
\(885\) | 3.20217 | − | 0.717402i | 0.107640 | − | 0.0241152i | ||||
\(886\) | 9.51946 | + | 6.26105i | 0.319812 | + | 0.210344i | ||||
\(887\) | 6.84804 | + | 22.8740i | 0.229935 | + | 0.768035i | 0.992620 | + | 0.121266i | \(0.0386953\pi\) |
−0.762685 | + | 0.646770i | \(0.776120\pi\) | |||||||
\(888\) | −3.35436 | + | 17.7431i | −0.112565 | + | 0.595418i | ||||
\(889\) | −1.08993 | + | 1.46404i | −0.0365552 | + | 0.0491022i | ||||
\(890\) | −1.41139 | −0.0473101 | ||||||||
\(891\) | 7.20847 | − | 8.74807i | 0.241493 | − | 0.293071i | ||||
\(892\) | 97.4982 | 3.26448 | ||||||||
\(893\) | −10.3133 | + | 13.8532i | −0.345123 | + | 0.463581i | ||||
\(894\) | 29.6094 | + | 25.4730i | 0.990286 | + | 0.851946i | ||||
\(895\) | 1.68458 | + | 5.62688i | 0.0563092 | + | 0.188086i | ||||
\(896\) | −3.92856 | − | 2.58386i | −0.131244 | − | 0.0863206i | ||||
\(897\) | −2.59109 | − | 2.81505i | −0.0865140 | − | 0.0939917i | ||||
\(898\) | 61.0650 | + | 64.7251i | 2.03777 | + | 2.15991i | ||||
\(899\) | 7.62090 | + | 2.77378i | 0.254171 | + | 0.0925107i | ||||
\(900\) | −13.9420 | + | 69.0757i | −0.464732 | + | 2.30252i | ||||
\(901\) | 32.3230 | − | 11.7646i | 1.07683 | − | 0.391936i | ||||
\(902\) | −27.7115 | − | 13.9172i | −0.922691 | − | 0.463393i | ||||
\(903\) | 9.84173 | − | 22.0646i | 0.327512 | − | 0.734264i | ||||
\(904\) | 56.5452 | − | 131.087i | 1.88067 | − | 4.35987i | ||||
\(905\) | −3.77549 | + | 0.441291i | −0.125501 | + | 0.0146690i | ||||
\(906\) | 9.51238 | − | 9.83700i | 0.316028 | − | 0.326812i | ||||
\(907\) | 29.8714 | − | 19.6468i | 0.991865 | − | 0.652360i | 0.0537031 | − | 0.998557i | \(-0.482898\pi\) |
0.938162 | + | 0.346197i | \(0.112527\pi\) | |||||||
\(908\) | −3.70634 | − | 3.10999i | −0.122999 | − | 0.103209i | ||||
\(909\) | 3.87201 | + | 9.62112i | 0.128427 | + | 0.319112i | ||||
\(910\) | 9.81460 | − | 8.23543i | 0.325351 | − | 0.273002i | ||||
\(911\) | 2.54681 | − | 8.50695i | 0.0843797 | − | 0.281848i | −0.905378 | − | 0.424607i | \(-0.860412\pi\) |
0.989757 | + | 0.142759i | \(0.0455975\pi\) | |||||||
\(912\) | 3.40062 | + | 74.0939i | 0.112606 | + | 2.45349i | ||||
\(913\) | 0.746383 | − | 0.374848i | 0.0247017 | − | 0.0124057i | ||||
\(914\) | −4.67587 | + | 4.95613i | −0.154664 | + | 0.163934i | ||||
\(915\) | 2.64652 | − | 4.45627i | 0.0874913 | − | 0.147320i | ||||
\(916\) | −19.2659 | − | 44.6634i | −0.636564 | − | 1.47572i | ||||
\(917\) | −13.5038 | − | 23.3893i | −0.445935 | − | 0.772382i | ||||
\(918\) | 20.9950 | − | 61.7314i | 0.692937 | − | 2.03744i | ||||
\(919\) | −19.3249 | + | 33.4717i | −0.637470 | + | 1.10413i | 0.348516 | + | 0.937303i | \(0.386686\pi\) |
−0.985986 | + | 0.166827i | \(0.946648\pi\) | |||||||
\(920\) | 1.31949 | + | 0.154226i | 0.0435022 | + | 0.00508468i | ||||
\(921\) | 8.81001 | + | 3.32999i | 0.290300 | + | 0.109727i | ||||
\(922\) | 14.9079 | + | 3.53323i | 0.490965 | + | 0.116361i | ||||
\(923\) | 2.72696 | − | 46.8201i | 0.0897590 | − | 1.54110i | ||||
\(924\) | −24.4955 | + | 32.0710i | −0.805842 | + | 1.05506i | ||||
\(925\) | 6.80458 | − | 1.61271i | 0.223733 | − | 0.0530257i | ||||
\(926\) | 11.5385 | + | 65.4382i | 0.379179 | + | 2.15043i | ||||
\(927\) | −7.80089 | + | 16.9258i | −0.256215 | + | 0.555916i | ||||
\(928\) | −3.70236 | + | 20.9971i | −0.121536 | + | 0.689264i | ||||
\(929\) | −0.0768039 | − | 1.31867i | −0.00251985 | − | 0.0432642i | 0.996814 | − | 0.0797633i | \(-0.0254164\pi\) |
−0.999334 | + | 0.0364991i | \(0.988379\pi\) | |||||||
\(930\) | 5.00280 | − | 2.43583i | 0.164048 | − | 0.0798741i | ||||
\(931\) | −21.3168 | − | 28.6334i | −0.698630 | − | 0.938423i | ||||
\(932\) | −56.1631 | − | 75.4401i | −1.83968 | − | 2.47112i | ||||
\(933\) | −1.34064 | + | 18.9870i | −0.0438907 | + | 0.621607i | ||||
\(934\) | 4.09523 | + | 70.3123i | 0.134000 | + | 2.30069i | ||||
\(935\) | −0.341138 | + | 1.93469i | −0.0111564 | + | 0.0632711i | ||||
\(936\) | 7.12113 | − | 85.8020i | 0.232761 | − | 2.80453i | ||||
\(937\) | 1.90486 | + | 10.8030i | 0.0622291 | + | 0.352919i | 0.999984 | + | 0.00562143i | \(0.00178937\pi\) |
−0.937755 | + | 0.347297i | \(0.887100\pi\) | |||||||
\(938\) | −2.10960 | + | 0.499984i | −0.0688809 | + | 0.0163251i | ||||
\(939\) | −42.5954 | − | 5.51116i | −1.39005 | − | 0.179850i | ||||
\(940\) | −0.343939 | + | 5.90520i | −0.0112181 | + | 0.192607i | ||||
\(941\) | −31.8476 | − | 7.54801i | −1.03820 | − | 0.246058i | −0.324043 | − | 0.946042i | \(-0.605042\pi\) |
−0.714158 | + | 0.699984i | \(0.753190\pi\) | |||||||
\(942\) | 32.5167 | − | 26.6094i | 1.05945 | − | 0.866980i | ||||
\(943\) | −5.26790 | − | 0.615729i | −0.171546 | − | 0.0200509i | ||||
\(944\) | −27.5630 | + | 47.7405i | −0.897099 | + | 1.55382i | ||||
\(945\) | 6.01453 | + | 2.44428i | 0.195653 | + | 0.0795123i | ||||
\(946\) | 5.94141 | + | 10.2908i | 0.193172 | + | 0.334583i | ||||
\(947\) | −24.3566 | − | 56.4651i | −0.791485 | − | 1.83487i | −0.433635 | − | 0.901089i | \(-0.642769\pi\) |
−0.357850 | − | 0.933779i | \(-0.616490\pi\) | |||||||
\(948\) | 69.3213 | + | 0.853650i | 2.25145 | + | 0.0277252i | ||||
\(949\) | −21.1936 | + | 22.4639i | −0.687973 | + | 0.729208i | ||||
\(950\) | 51.7934 | − | 26.0116i | 1.68040 | − | 0.843929i | ||||
\(951\) | 35.9657 | + | 18.6207i | 1.16627 | + | 0.603818i | ||||
\(952\) | −38.8294 | + | 129.699i | −1.25847 | + | 4.20358i | ||||
\(953\) | −2.13513 | + | 1.79159i | −0.0691637 | + | 0.0580353i | −0.676714 | − | 0.736246i | \(-0.736597\pi\) |
0.607550 | + | 0.794281i | \(0.292152\pi\) | |||||||
\(954\) | 49.3291 | + | 26.3146i | 1.59709 | + | 0.851968i | ||||
\(955\) | −4.93796 | − | 4.14344i | −0.159789 | − | 0.134078i | ||||
\(956\) | 114.459 | − | 75.2806i | 3.70186 | − | 2.43475i | ||||
\(957\) | −4.51499 | − | 1.12897i | −0.145949 | − | 0.0364943i | ||||
\(958\) | 67.4205 | − | 7.88032i | 2.17826 | − | 0.254602i | ||||
\(959\) | −30.3264 | + | 70.3044i | −0.979290 | + | 2.27025i | ||||
\(960\) | 2.37284 | + | 3.27059i | 0.0765830 | + | 0.105558i | ||||
\(961\) | −14.7888 | − | 7.42721i | −0.477058 | − | 0.239587i | ||||
\(962\) | −13.7661 | + | 5.01047i | −0.443838 | + | 0.161544i | ||||
\(963\) | −4.32106 | − | 1.69437i | −0.139244 | − | 0.0546003i | ||||
\(964\) | 54.8704 | + | 19.9712i | 1.76726 | + | 0.643229i | ||||
\(965\) | −3.54929 | − | 3.76203i | −0.114256 | − | 0.121104i | ||||
\(966\) | −2.91976 | + | 9.33283i | −0.0939417 | + | 0.300279i | ||||
\(967\) | −18.6286 | − | 12.2522i | −0.599054 | − | 0.394004i | 0.213455 | − | 0.976953i | \(-0.431528\pi\) |
−0.812509 | + | 0.582949i | \(0.801899\pi\) | |||||||
\(968\) | 19.7023 | + | 65.8104i | 0.633257 | + | 2.11523i | ||||
\(969\) | −35.7262 | + | 12.5073i | −1.14769 | + | 0.401792i | ||||
\(970\) | −8.13500 | + | 10.9272i | −0.261199 | + | 0.350851i | ||||
\(971\) | −26.1432 | −0.838976 | −0.419488 | − | 0.907761i | \(-0.637790\pi\) | ||||
−0.419488 | + | 0.907761i | \(0.637790\pi\) | |||||||
\(972\) | 68.7870 | − | 29.3955i | 2.20634 | − | 0.942862i | ||||
\(973\) | −59.6126 | −1.91109 | ||||||||
\(974\) | −11.5496 | + | 15.5138i | −0.370072 | + | 0.497093i | ||||
\(975\) | −31.4701 | + | 11.0172i | −1.00785 | + | 0.352834i | ||||
\(976\) | 24.9709 | + | 83.4086i | 0.799299 | + | 2.66984i | ||||
\(977\) | 0.725766 | + | 0.477344i | 0.0232193 | + | 0.0152716i | 0.561066 | − | 0.827771i | \(-0.310392\pi\) |
−0.537846 | + | 0.843043i | \(0.680762\pi\) | |||||||
\(978\) | −3.25738 | + | 10.4120i | −0.104160 | + | 0.332940i | ||||
\(979\) | 1.44350 | + | 1.53002i | 0.0461346 | + | 0.0488998i | ||||
\(980\) | −11.4889 | − | 4.18162i | −0.367000 | − | 0.133577i | ||||
\(981\) | −5.62794 | − | 37.2617i | −0.179686 | − | 1.18967i | ||||
\(982\) | 41.0775 | − | 14.9510i | 1.31084 | − | 0.477105i | ||||
\(983\) | 2.31080 | + | 1.16053i | 0.0737030 | + | 0.0370150i | 0.485269 | − | 0.874365i | \(-0.338722\pi\) |
−0.411566 | + | 0.911380i | \(0.635018\pi\) | |||||||
\(984\) | −70.0875 | − | 96.6049i | −2.23431 | − | 3.07965i | ||||
\(985\) | −0.852673 | + | 1.97672i | −0.0271684 | + | 0.0629835i | ||||
\(986\) | −26.5900 | + | 3.10792i | −0.846798 | + | 0.0989764i | ||||
\(987\) | −24.6361 | − | 6.16023i | −0.784177 | − | 0.196082i | ||||
\(988\) | −71.5998 | + | 47.0920i | −2.27789 | + | 1.49819i | ||||
\(989\) | 1.55689 | + | 1.30638i | 0.0495061 | + | 0.0415405i | ||||
\(990\) | −2.71022 | + | 1.68842i | −0.0861364 | + | 0.0536617i | ||||
\(991\) | 40.7842 | − | 34.2220i | 1.29555 | − | 1.08710i | 0.304658 | − | 0.952462i | \(-0.401458\pi\) |
0.990895 | − | 0.134636i | \(-0.0429866\pi\) | |||||||
\(992\) | −10.8960 | + | 36.3952i | −0.345949 | + | 1.15555i | ||||
\(993\) | −24.1117 | − | 12.4835i | −0.765162 | − | 0.396152i | ||||
\(994\) | −107.120 | + | 53.7978i | −3.39765 | + | 1.70636i | ||||
\(995\) | 1.25928 | − | 1.33476i | 0.0399218 | − | 0.0423146i | ||||
\(996\) | 5.51141 | + | 0.0678696i | 0.174636 | + | 0.00215053i | ||||
\(997\) | −0.697495 | − | 1.61697i | −0.0220899 | − | 0.0512101i | 0.906814 | − | 0.421531i | \(-0.138507\pi\) |
−0.928904 | + | 0.370321i | \(0.879248\pi\) | |||||||
\(998\) | −23.8035 | − | 41.2289i | −0.753486 | − | 1.30508i | ||||
\(999\) | −5.50653 | − | 4.97842i | −0.174219 | − | 0.157510i |
(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 | 81.2.g.a.58.8 | yes | 144 | |
3.2 | odd | 2 | 243.2.g.a.226.1 | 144 | |||
9.2 | odd | 6 | 729.2.g.a.433.8 | 144 | |||
9.4 | even | 3 | 729.2.g.c.676.8 | 144 | |||
9.5 | odd | 6 | 729.2.g.b.676.1 | 144 | |||
9.7 | even | 3 | 729.2.g.d.433.1 | 144 | |||
81.7 | even | 27 | inner | 81.2.g.a.7.8 | ✓ | 144 | |
81.13 | even | 27 | 6561.2.a.c.1.71 | 72 | |||
81.20 | odd | 54 | 729.2.g.b.55.1 | 144 | |||
81.34 | even | 27 | 729.2.g.d.298.1 | 144 | |||
81.47 | odd | 54 | 729.2.g.a.298.8 | 144 | |||
81.61 | even | 27 | 729.2.g.c.55.8 | 144 | |||
81.68 | odd | 54 | 6561.2.a.d.1.2 | 72 | |||
81.74 | odd | 54 | 243.2.g.a.100.1 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.7.8 | ✓ | 144 | 81.7 | even | 27 | inner | |
81.2.g.a.58.8 | yes | 144 | 1.1 | even | 1 | trivial | |
243.2.g.a.100.1 | 144 | 81.74 | odd | 54 | |||
243.2.g.a.226.1 | 144 | 3.2 | odd | 2 | |||
729.2.g.a.298.8 | 144 | 81.47 | odd | 54 | |||
729.2.g.a.433.8 | 144 | 9.2 | odd | 6 | |||
729.2.g.b.55.1 | 144 | 81.20 | odd | 54 | |||
729.2.g.b.676.1 | 144 | 9.5 | odd | 6 | |||
729.2.g.c.55.8 | 144 | 81.61 | even | 27 | |||
729.2.g.c.676.8 | 144 | 9.4 | even | 3 | |||
729.2.g.d.298.1 | 144 | 81.34 | even | 27 | |||
729.2.g.d.433.1 | 144 | 9.7 | even | 3 | |||
6561.2.a.c.1.71 | 72 | 81.13 | even | 27 | |||
6561.2.a.d.1.2 | 72 | 81.68 | odd | 54 |