Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(113,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.113");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.r (of order \(22\), degree \(10\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 113.5 | ||
Character | \(\chi\) | \(=\) | 966.113 |
Dual form | 966.2.r.a.701.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{13}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.540641 | + | 0.841254i | −0.382291 | + | 0.594856i | ||||
\(3\) | −0.618673 | − | 1.61779i | −0.357191 | − | 0.934031i | ||||
\(4\) | −0.415415 | − | 0.909632i | −0.207708 | − | 0.454816i | ||||
\(5\) | −0.285460 | − | 0.0838187i | −0.127662 | − | 0.0374849i | 0.217278 | − | 0.976110i | \(-0.430282\pi\) |
−0.344939 | + | 0.938625i | \(0.612100\pi\) | |||||||
\(6\) | 1.69545 | + | 0.354183i | 0.692165 | + | 0.144595i | ||||
\(7\) | −0.755750 | − | 0.654861i | −0.285646 | − | 0.247514i | ||||
\(8\) | 0.989821 | + | 0.142315i | 0.349955 | + | 0.0503159i | ||||
\(9\) | −2.23449 | + | 2.00176i | −0.744830 | + | 0.667255i | ||||
\(10\) | 0.224844 | − | 0.194829i | 0.0711020 | − | 0.0616102i | ||||
\(11\) | 1.63115 | − | 1.04828i | 0.491811 | − | 0.316068i | −0.271122 | − | 0.962545i | \(-0.587395\pi\) |
0.762933 | + | 0.646477i | \(0.223758\pi\) | |||||||
\(12\) | −1.21459 | + | 1.23482i | −0.350621 | + | 0.356461i | ||||
\(13\) | −1.94236 | − | 2.24160i | −0.538714 | − | 0.621709i | 0.419502 | − | 0.907754i | \(-0.362205\pi\) |
−0.958216 | + | 0.286045i | \(0.907659\pi\) | |||||||
\(14\) | 0.959493 | − | 0.281733i | 0.256435 | − | 0.0752962i | ||||
\(15\) | 0.0410054 | + | 0.513671i | 0.0105875 | + | 0.132629i | ||||
\(16\) | −0.654861 | + | 0.755750i | −0.163715 | + | 0.188937i | ||||
\(17\) | 0.980184 | − | 2.14630i | 0.237730 | − | 0.520555i | −0.752735 | − | 0.658324i | \(-0.771266\pi\) |
0.990464 | + | 0.137769i | \(0.0439931\pi\) | |||||||
\(18\) | −0.475936 | − | 2.96201i | −0.112179 | − | 0.698152i | ||||
\(19\) | −2.97779 | + | 1.35991i | −0.683153 | + | 0.311986i | −0.726591 | − | 0.687071i | \(-0.758896\pi\) |
0.0434377 | + | 0.999056i | \(0.486169\pi\) | |||||||
\(20\) | 0.0423403 | + | 0.294483i | 0.00946758 | + | 0.0658485i | ||||
\(21\) | −0.591866 | + | 1.62779i | −0.129156 | + | 0.355213i | ||||
\(22\) | 1.93895i | 0.413387i | ||||||||
\(23\) | 0.150396 | + | 4.79347i | 0.0313596 | + | 0.999508i | ||||
\(24\) | −0.382140 | − | 1.68937i | −0.0780040 | − | 0.344841i | ||||
\(25\) | −4.13181 | − | 2.65535i | −0.826361 | − | 0.531070i | ||||
\(26\) | 2.93588 | − | 0.422115i | 0.575773 | − | 0.0827837i | ||||
\(27\) | 4.62085 | + | 2.37650i | 0.889283 | + | 0.457357i | ||||
\(28\) | −0.281733 | + | 0.959493i | −0.0532424 | + | 0.181327i | ||||
\(29\) | −2.22019 | − | 1.01393i | −0.412279 | − | 0.188282i | 0.198468 | − | 0.980107i | \(-0.436403\pi\) |
−0.610747 | + | 0.791826i | \(0.709131\pi\) | |||||||
\(30\) | −0.454297 | − | 0.243216i | −0.0829428 | − | 0.0444049i | ||||
\(31\) | 0.695433 | − | 4.83684i | 0.124903 | − | 0.868722i | −0.826973 | − | 0.562241i | \(-0.809939\pi\) |
0.951877 | − | 0.306481i | \(-0.0991516\pi\) | |||||||
\(32\) | −0.281733 | − | 0.959493i | −0.0498038 | − | 0.169616i | ||||
\(33\) | −2.70504 | − | 1.99032i | −0.470888 | − | 0.346470i | ||||
\(34\) | 1.27566 | + | 1.98496i | 0.218774 | + | 0.340418i | ||||
\(35\) | 0.160847 | + | 0.250283i | 0.0271881 | + | 0.0423055i | ||||
\(36\) | 2.74911 | + | 1.20100i | 0.458185 | + | 0.200167i | ||||
\(37\) | 1.33714 | + | 4.55389i | 0.219825 | + | 0.748655i | 0.993375 | + | 0.114920i | \(0.0366610\pi\) |
−0.773550 | + | 0.633735i | \(0.781521\pi\) | |||||||
\(38\) | 0.465886 | − | 3.24030i | 0.0755766 | − | 0.525647i | ||||
\(39\) | −2.42476 | + | 4.52915i | −0.388272 | + | 0.725245i | ||||
\(40\) | −0.270626 | − | 0.123591i | −0.0427897 | − | 0.0195414i | ||||
\(41\) | −2.00029 | + | 6.81235i | −0.312392 | + | 1.06391i | 0.642334 | + | 0.766425i | \(0.277966\pi\) |
−0.954726 | + | 0.297486i | \(0.903852\pi\) | |||||||
\(42\) | −1.04940 | − | 1.37796i | −0.161925 | − | 0.212624i | ||||
\(43\) | −7.38839 | + | 1.06229i | −1.12672 | + | 0.161998i | −0.680375 | − | 0.732864i | \(-0.738183\pi\) |
−0.446344 | + | 0.894862i | \(0.647274\pi\) | |||||||
\(44\) | −1.63115 | − | 1.04828i | −0.245906 | − | 0.158034i | ||||
\(45\) | 0.805643 | − | 0.384132i | 0.120098 | − | 0.0572631i | ||||
\(46\) | −4.11384 | − | 2.46503i | −0.606552 | − | 0.363448i | ||||
\(47\) | 1.33243i | 0.194355i | 0.995267 | + | 0.0971773i | \(0.0309814\pi\) | ||||
−0.995267 | + | 0.0971773i | \(0.969019\pi\) | |||||||
\(48\) | 1.62779 | + | 0.591866i | 0.234951 | + | 0.0854284i | ||||
\(49\) | 0.142315 | + | 0.989821i | 0.0203307 | + | 0.141403i | ||||
\(50\) | 4.46765 | − | 2.04031i | 0.631821 | − | 0.288543i | ||||
\(51\) | −4.07868 | − | 0.257873i | −0.571130 | − | 0.0361094i | ||||
\(52\) | −1.23215 | + | 2.69803i | −0.170868 | + | 0.374149i | ||||
\(53\) | −1.33805 | + | 1.54419i | −0.183795 | + | 0.212111i | −0.840169 | − | 0.542325i | \(-0.817544\pi\) |
0.656373 | + | 0.754436i | \(0.272090\pi\) | |||||||
\(54\) | −4.49746 | + | 2.60248i | −0.612026 | + | 0.354152i | ||||
\(55\) | −0.553494 | + | 0.162521i | −0.0746332 | + | 0.0219143i | ||||
\(56\) | −0.654861 | − | 0.755750i | −0.0875094 | − | 0.100991i | ||||
\(57\) | 4.04233 | + | 3.97611i | 0.535420 | + | 0.526648i | ||||
\(58\) | 2.05330 | − | 1.31957i | 0.269611 | − | 0.173268i | ||||
\(59\) | −9.18500 | + | 7.95885i | −1.19579 | + | 1.03615i | −0.197344 | + | 0.980334i | \(0.563232\pi\) |
−0.998441 | + | 0.0558194i | \(0.982223\pi\) | |||||||
\(60\) | 0.450217 | − | 0.250686i | 0.0581228 | − | 0.0323635i | ||||
\(61\) | −2.77598 | − | 0.399125i | −0.355427 | − | 0.0511027i | −0.0377114 | − | 0.999289i | \(-0.512007\pi\) |
−0.317716 | + | 0.948186i | \(0.602916\pi\) | |||||||
\(62\) | 3.69303 | + | 3.20003i | 0.469015 | + | 0.406404i | ||||
\(63\) | 2.99959 | − | 0.0495539i | 0.377913 | − | 0.00624320i | ||||
\(64\) | 0.959493 | + | 0.281733i | 0.119937 | + | 0.0352166i | ||||
\(65\) | 0.366579 | + | 0.802695i | 0.0454685 | + | 0.0995621i | ||||
\(66\) | 3.13682 | − | 1.19958i | 0.386116 | − | 0.147658i | ||||
\(67\) | −0.933270 | + | 1.45220i | −0.114017 | + | 0.177414i | −0.893572 | − | 0.448920i | \(-0.851809\pi\) |
0.779555 | + | 0.626334i | \(0.215445\pi\) | |||||||
\(68\) | −2.35953 | −0.286135 | ||||||||
\(69\) | 7.66179 | − | 3.20890i | 0.922371 | − | 0.386306i | ||||
\(70\) | −0.297512 | −0.0355594 | ||||||||
\(71\) | −6.42019 | + | 9.99002i | −0.761937 | + | 1.18560i | 0.215938 | + | 0.976407i | \(0.430719\pi\) |
−0.977875 | + | 0.209190i | \(0.932917\pi\) | |||||||
\(72\) | −2.49663 | + | 1.66339i | −0.294230 | + | 0.196032i | ||||
\(73\) | 1.34183 | + | 2.93819i | 0.157049 | + | 0.343889i | 0.971758 | − | 0.235981i | \(-0.0758304\pi\) |
−0.814709 | + | 0.579871i | \(0.803103\pi\) | |||||||
\(74\) | −4.55389 | − | 1.33714i | −0.529379 | − | 0.155440i | ||||
\(75\) | −1.73956 | + | 8.32719i | −0.200868 | + | 0.961541i | ||||
\(76\) | 2.47404 | + | 2.14377i | 0.283792 | + | 0.245907i | ||||
\(77\) | −1.91922 | − | 0.275942i | −0.218715 | − | 0.0314465i | ||||
\(78\) | −2.49924 | − | 4.48848i | −0.282983 | − | 0.508220i | ||||
\(79\) | −7.57661 | + | 6.56517i | −0.852436 | + | 0.738640i | −0.967000 | − | 0.254776i | \(-0.917998\pi\) |
0.114564 | + | 0.993416i | \(0.463453\pi\) | |||||||
\(80\) | 0.250283 | − | 0.160847i | 0.0279824 | − | 0.0179832i | ||||
\(81\) | 0.985878 | − | 8.94584i | 0.109542 | − | 0.993982i | ||||
\(82\) | −4.64948 | − | 5.36578i | −0.513449 | − | 0.592552i | ||||
\(83\) | −4.64382 | + | 1.36355i | −0.509725 | + | 0.149669i | −0.526475 | − | 0.850191i | \(-0.676486\pi\) |
0.0167492 | + | 0.999860i | \(0.494668\pi\) | |||||||
\(84\) | 1.72656 | − | 0.137828i | 0.188383 | − | 0.0150383i | ||||
\(85\) | −0.459704 | + | 0.530527i | −0.0498619 | + | 0.0575437i | ||||
\(86\) | 3.10081 | − | 6.78983i | 0.334369 | − | 0.732166i | ||||
\(87\) | −0.266750 | + | 4.21909i | −0.0285986 | + | 0.452334i | ||||
\(88\) | 1.76374 | − | 0.805471i | 0.188015 | − | 0.0858635i | ||||
\(89\) | −2.28659 | − | 15.9036i | −0.242378 | − | 1.68578i | −0.640115 | − | 0.768279i | \(-0.721113\pi\) |
0.397736 | − | 0.917500i | \(-0.369796\pi\) | |||||||
\(90\) | −0.112411 | + | 0.885427i | −0.0118491 | + | 0.0933322i | ||||
\(91\) | 2.96607i | 0.310928i | ||||||||
\(92\) | 4.29782 | − | 2.12809i | 0.448079 | − | 0.221868i | ||||
\(93\) | −8.25524 | + | 1.86736i | −0.856028 | + | 0.193636i | ||||
\(94\) | −1.12091 | − | 0.720365i | −0.115613 | − | 0.0743000i | ||||
\(95\) | 0.964028 | − | 0.138606i | 0.0989072 | − | 0.0142207i | ||||
\(96\) | −1.37796 | + | 1.04940i | −0.140637 | + | 0.107104i | ||||
\(97\) | 3.03099 | − | 10.3226i | 0.307751 | − | 1.04810i | −0.649864 | − | 0.760050i | \(-0.725174\pi\) |
0.957615 | − | 0.288052i | \(-0.0930075\pi\) | |||||||
\(98\) | −0.909632 | − | 0.415415i | −0.0918867 | − | 0.0419633i | ||||
\(99\) | −1.54639 | + | 5.60755i | −0.155418 | + | 0.563580i | ||||
\(100\) | −0.698977 | + | 4.86150i | −0.0698977 | + | 0.486150i | ||||
\(101\) | −0.974009 | − | 3.31717i | −0.0969175 | − | 0.330071i | 0.896734 | − | 0.442569i | \(-0.145933\pi\) |
−0.993652 | + | 0.112498i | \(0.964115\pi\) | |||||||
\(102\) | 2.42204 | − | 3.29179i | 0.239817 | − | 0.325936i | ||||
\(103\) | −5.60727 | − | 8.72508i | −0.552501 | − | 0.859708i | 0.446891 | − | 0.894589i | \(-0.352531\pi\) |
−0.999391 | + | 0.0348805i | \(0.988895\pi\) | |||||||
\(104\) | −1.60358 | − | 2.49522i | −0.157244 | − | 0.244676i | ||||
\(105\) | 0.305393 | − | 0.415059i | 0.0298033 | − | 0.0405057i | ||||
\(106\) | −0.575653 | − | 1.96049i | −0.0559123 | − | 0.190420i | ||||
\(107\) | −1.61193 | + | 11.2112i | −0.155832 | + | 1.08383i | 0.750380 | + | 0.661007i | \(0.229871\pi\) |
−0.906211 | + | 0.422825i | \(0.861038\pi\) | |||||||
\(108\) | 0.242166 | − | 5.19051i | 0.0233024 | − | 0.499457i | ||||
\(109\) | −8.78918 | − | 4.01388i | −0.841850 | − | 0.384460i | −0.0526628 | − | 0.998612i | \(-0.516771\pi\) |
−0.789188 | + | 0.614152i | \(0.789498\pi\) | |||||||
\(110\) | 0.162521 | − | 0.553494i | 0.0154957 | − | 0.0527736i | ||||
\(111\) | 6.53998 | − | 4.98058i | 0.620748 | − | 0.472736i | ||||
\(112\) | 0.989821 | − | 0.142315i | 0.0935293 | − | 0.0134475i | ||||
\(113\) | 4.48480 | + | 2.88221i | 0.421895 | + | 0.271135i | 0.734315 | − | 0.678809i | \(-0.237503\pi\) |
−0.312420 | + | 0.949944i | \(0.601140\pi\) | |||||||
\(114\) | −5.53036 | + | 1.25098i | −0.517966 | + | 0.117165i | ||||
\(115\) | 0.358851 | − | 1.38095i | 0.0334630 | − | 0.128774i | ||||
\(116\) | 2.44076i | 0.226619i | ||||||||
\(117\) | 8.82735 | + | 1.12069i | 0.816089 | + | 0.103608i | ||||
\(118\) | −1.72962 | − | 12.0298i | −0.159225 | − | 1.10743i | ||||
\(119\) | −2.14630 | + | 0.980184i | −0.196751 | + | 0.0898533i | ||||
\(120\) | −0.0325150 | + | 0.514278i | −0.00296820 | + | 0.0469470i | ||||
\(121\) | −3.00779 | + | 6.58615i | −0.273436 | + | 0.598741i | ||||
\(122\) | 1.83657 | − | 2.11952i | 0.166275 | − | 0.191892i | ||||
\(123\) | 12.2585 | − | 0.978571i | 1.10531 | − | 0.0882348i | ||||
\(124\) | −4.68864 | + | 1.37671i | −0.421052 | + | 0.123632i | ||||
\(125\) | 1.93104 | + | 2.22854i | 0.172718 | + | 0.199327i | ||||
\(126\) | −1.58001 | + | 2.55021i | −0.140759 | + | 0.227191i | ||||
\(127\) | 11.7109 | − | 7.52613i | 1.03917 | − | 0.667836i | 0.0943912 | − | 0.995535i | \(-0.469910\pi\) |
0.944782 | + | 0.327699i | \(0.106273\pi\) | |||||||
\(128\) | −0.755750 | + | 0.654861i | −0.0667995 | + | 0.0578821i | ||||
\(129\) | 6.28956 | + | 11.2957i | 0.553765 | + | 0.994527i | ||||
\(130\) | −0.873457 | − | 0.125584i | −0.0766073 | − | 0.0110145i | ||||
\(131\) | −6.23110 | − | 5.39928i | −0.544414 | − | 0.471737i | 0.338701 | − | 0.940894i | \(-0.390012\pi\) |
−0.883115 | + | 0.469157i | \(0.844558\pi\) | |||||||
\(132\) | −0.686744 | + | 3.28740i | −0.0597734 | + | 0.286132i | ||||
\(133\) | 3.14102 | + | 0.922287i | 0.272361 | + | 0.0799724i | ||||
\(134\) | −0.717101 | − | 1.57023i | −0.0619481 | − | 0.135647i | ||||
\(135\) | −1.11987 | − | 1.06571i | −0.0963834 | − | 0.0917216i | ||||
\(136\) | 1.27566 | − | 1.98496i | 0.109387 | − | 0.170209i | ||||
\(137\) | 11.6909 | 0.998818 | 0.499409 | − | 0.866366i | \(-0.333550\pi\) | ||||
0.499409 | + | 0.866366i | \(0.333550\pi\) | |||||||
\(138\) | −1.44278 | + | 8.18037i | −0.122817 | + | 0.696359i | ||||
\(139\) | 12.5531 | 1.06474 | 0.532370 | − | 0.846511i | \(-0.321301\pi\) | ||||
0.532370 | + | 0.846511i | \(0.321301\pi\) | |||||||
\(140\) | 0.160847 | − | 0.250283i | 0.0135940 | − | 0.0211527i | ||||
\(141\) | 2.15559 | − | 0.824336i | 0.181533 | − | 0.0694217i | ||||
\(142\) | −4.93312 | − | 10.8020i | −0.413978 | − | 0.906486i | ||||
\(143\) | −5.51811 | − | 1.62026i | −0.461448 | − | 0.135493i | ||||
\(144\) | −0.0495539 | − | 2.99959i | −0.00412949 | − | 0.249966i | ||||
\(145\) | 0.548790 | + | 0.475530i | 0.0455746 | + | 0.0394906i | ||||
\(146\) | −3.19721 | − | 0.459689i | −0.264603 | − | 0.0380442i | ||||
\(147\) | 1.51328 | − | 0.842611i | 0.124813 | − | 0.0694974i | ||||
\(148\) | 3.58690 | − | 3.10806i | 0.294841 | − | 0.255481i | ||||
\(149\) | 6.39045 | − | 4.10689i | 0.523526 | − | 0.336450i | −0.252039 | − | 0.967717i | \(-0.581101\pi\) |
0.775565 | + | 0.631267i | \(0.217465\pi\) | |||||||
\(150\) | −6.06480 | − | 5.96543i | −0.495188 | − | 0.487075i | ||||
\(151\) | −12.7192 | − | 14.6787i | −1.03507 | − | 1.19454i | −0.980599 | − | 0.196025i | \(-0.937197\pi\) |
−0.0544756 | − | 0.998515i | \(-0.517349\pi\) | |||||||
\(152\) | −3.14102 | + | 0.922287i | −0.254770 | + | 0.0748073i | ||||
\(153\) | 2.10618 | + | 6.75799i | 0.170275 | + | 0.546351i | ||||
\(154\) | 1.26975 | − | 1.46536i | 0.102319 | − | 0.118082i | ||||
\(155\) | −0.603936 | + | 1.32244i | −0.0485093 | + | 0.106221i | ||||
\(156\) | 5.12714 | + | 0.324161i | 0.410500 | + | 0.0259537i | ||||
\(157\) | 17.7841 | − | 8.12174i | 1.41933 | − | 0.648185i | 0.449792 | − | 0.893133i | \(-0.351498\pi\) |
0.969536 | + | 0.244948i | \(0.0787709\pi\) | |||||||
\(158\) | −1.42675 | − | 9.92325i | −0.113506 | − | 0.789452i | ||||
\(159\) | 3.32599 | + | 1.20934i | 0.263769 | + | 0.0959065i | ||||
\(160\) | 0.297512i | 0.0235204i | ||||||||
\(161\) | 3.02540 | − | 3.72115i | 0.238435 | − | 0.293268i | ||||
\(162\) | 6.99271 | + | 5.66586i | 0.549399 | + | 0.445152i | ||||
\(163\) | −17.0369 | − | 10.9490i | −1.33443 | − | 0.857588i | −0.337932 | − | 0.941170i | \(-0.609727\pi\) |
−0.996501 | + | 0.0835823i | \(0.973364\pi\) | |||||||
\(164\) | 7.02768 | − | 1.01043i | 0.548770 | − | 0.0789012i | ||||
\(165\) | 0.605356 | + | 0.794891i | 0.0471269 | + | 0.0618822i | ||||
\(166\) | 1.36355 | − | 4.64382i | 0.105832 | − | 0.360430i | ||||
\(167\) | 12.0371 | + | 5.49716i | 0.931459 | + | 0.425383i | 0.822565 | − | 0.568671i | \(-0.192542\pi\) |
0.108893 | + | 0.994053i | \(0.465269\pi\) | |||||||
\(168\) | −0.817500 | + | 1.52699i | −0.0630715 | + | 0.117810i | ||||
\(169\) | 0.598070 | − | 4.15967i | 0.0460054 | − | 0.319974i | ||||
\(170\) | −0.197773 | − | 0.673552i | −0.0151685 | − | 0.0516591i | ||||
\(171\) | 3.93162 | − | 8.99955i | 0.300659 | − | 0.688213i | ||||
\(172\) | 4.03554 | + | 6.27942i | 0.307707 | + | 0.478802i | ||||
\(173\) | −6.74172 | − | 10.4903i | −0.512564 | − | 0.797564i | 0.484448 | − | 0.874820i | \(-0.339021\pi\) |
−0.997011 | + | 0.0772557i | \(0.975384\pi\) | |||||||
\(174\) | −3.40511 | − | 2.50542i | −0.258141 | − | 0.189935i | ||||
\(175\) | 1.38373 | + | 4.71254i | 0.104600 | + | 0.356234i | ||||
\(176\) | −0.275942 | + | 1.91922i | −0.0207999 | + | 0.144667i | ||||
\(177\) | 18.5583 | + | 9.93548i | 1.39492 | + | 0.746796i | ||||
\(178\) | 14.6152 | + | 6.67454i | 1.09546 | + | 0.500278i | ||||
\(179\) | −4.61789 | + | 15.7271i | −0.345158 | + | 1.17550i | 0.585826 | + | 0.810437i | \(0.300770\pi\) |
−0.930983 | + | 0.365062i | \(0.881048\pi\) | |||||||
\(180\) | −0.684095 | − | 0.573264i | −0.0509894 | − | 0.0427286i | ||||
\(181\) | 5.07360 | − | 0.729474i | 0.377118 | − | 0.0542214i | 0.0488502 | − | 0.998806i | \(-0.484444\pi\) |
0.328268 | + | 0.944585i | \(0.393535\pi\) | |||||||
\(182\) | −2.49522 | − | 1.60358i | −0.184958 | − | 0.118865i | ||||
\(183\) | 1.07172 | + | 4.73787i | 0.0792238 | + | 0.350234i | ||||
\(184\) | −0.533318 | + | 4.76609i | −0.0393167 | + | 0.351360i | ||||
\(185\) | − | 1.41203i | − | 0.103815i | ||||||
\(186\) | 2.89220 | − | 7.95432i | 0.212066 | − | 0.583239i | ||||
\(187\) | −0.651093 | − | 4.52845i | −0.0476127 | − | 0.331153i | ||||
\(188\) | 1.21202 | − | 0.553510i | 0.0883956 | − | 0.0403689i | ||||
\(189\) | −1.93593 | − | 4.82205i | −0.140818 | − | 0.350753i | ||||
\(190\) | −0.404590 | + | 0.885928i | −0.0293520 | + | 0.0642720i | ||||
\(191\) | −3.57327 | + | 4.12377i | −0.258553 | + | 0.298386i | −0.870154 | − | 0.492781i | \(-0.835980\pi\) |
0.611601 | + | 0.791167i | \(0.290526\pi\) | |||||||
\(192\) | −0.137828 | − | 1.72656i | −0.00994687 | − | 0.124604i | ||||
\(193\) | −7.14983 | + | 2.09938i | −0.514656 | + | 0.151117i | −0.528739 | − | 0.848784i | \(-0.677335\pi\) |
0.0140835 | + | 0.999901i | \(0.495517\pi\) | |||||||
\(194\) | 7.04525 | + | 8.13065i | 0.505820 | + | 0.583747i | ||||
\(195\) | 1.07180 | − | 1.08965i | 0.0767532 | − | 0.0780316i | ||||
\(196\) | 0.841254 | − | 0.540641i | 0.0600895 | − | 0.0386172i | ||||
\(197\) | −10.3877 | + | 9.00095i | −0.740089 | + | 0.641291i | −0.941034 | − | 0.338311i | \(-0.890144\pi\) |
0.200945 | + | 0.979603i | \(0.435599\pi\) | |||||||
\(198\) | −3.88133 | − | 4.33257i | −0.275834 | − | 0.307903i | ||||
\(199\) | −0.839814 | − | 0.120747i | −0.0595328 | − | 0.00855953i | 0.112484 | − | 0.993654i | \(-0.464119\pi\) |
−0.172017 | + | 0.985094i | \(0.555028\pi\) | |||||||
\(200\) | −3.71185 | − | 3.21634i | −0.262468 | − | 0.227430i | ||||
\(201\) | 2.92674 | + | 0.611400i | 0.206436 | + | 0.0431249i | ||||
\(202\) | 3.31717 | + | 0.974009i | 0.233395 | + | 0.0685311i | ||||
\(203\) | 1.01393 | + | 2.22019i | 0.0711638 | + | 0.155827i | ||||
\(204\) | 1.45978 | + | 3.81722i | 0.102205 | + | 0.267259i | ||||
\(205\) | 1.14200 | − | 1.77699i | 0.0797610 | − | 0.124111i | ||||
\(206\) | 10.3715 | 0.722619 | ||||||||
\(207\) | −9.93146 | − | 10.4099i | −0.690284 | − | 0.723538i | ||||
\(208\) | 2.96607 | 0.205660 | ||||||||
\(209\) | −3.43167 | + | 5.33978i | −0.237374 | + | 0.369361i | ||||
\(210\) | 0.184062 | + | 0.481311i | 0.0127015 | + | 0.0332136i | ||||
\(211\) | −4.18130 | − | 9.15578i | −0.287853 | − | 0.630310i | 0.709366 | − | 0.704840i | \(-0.248981\pi\) |
−0.997219 | + | 0.0745307i | \(0.976254\pi\) | |||||||
\(212\) | 1.96049 | + | 0.575653i | 0.134647 | + | 0.0395360i | ||||
\(213\) | 20.1337 | + | 4.20598i | 1.37954 | + | 0.288189i | ||||
\(214\) | −8.56002 | − | 7.41730i | −0.585151 | − | 0.507036i | ||||
\(215\) | 2.19813 | + | 0.316044i | 0.149911 | + | 0.0215540i | ||||
\(216\) | 4.23561 | + | 3.00992i | 0.288197 | + | 0.204799i | ||||
\(217\) | −3.69303 | + | 3.20003i | −0.250699 | + | 0.217232i | ||||
\(218\) | 8.12848 | − | 5.22386i | 0.550530 | − | 0.353804i | ||||
\(219\) | 3.92322 | − | 3.98857i | 0.265107 | − | 0.269523i | ||||
\(220\) | 0.377764 | + | 0.435963i | 0.0254688 | + | 0.0293926i | ||||
\(221\) | −6.71504 | + | 1.97171i | −0.451702 | + | 0.132632i | ||||
\(222\) | 0.654151 | + | 8.19449i | 0.0439037 | + | 0.549978i | ||||
\(223\) | 2.36457 | − | 2.72886i | 0.158343 | − | 0.182738i | −0.671034 | − | 0.741426i | \(-0.734150\pi\) |
0.829378 | + | 0.558688i | \(0.188695\pi\) | |||||||
\(224\) | −0.415415 | + | 0.909632i | −0.0277561 | + | 0.0607773i | ||||
\(225\) | 14.5479 | − | 2.33755i | 0.969857 | − | 0.155837i | ||||
\(226\) | −4.84934 | + | 2.21462i | −0.322573 | + | 0.147314i | ||||
\(227\) | 2.37583 | + | 16.5243i | 0.157689 | + | 1.09675i | 0.902877 | + | 0.429899i | \(0.141451\pi\) |
−0.745188 | + | 0.666855i | \(0.767640\pi\) | |||||||
\(228\) | 1.93755 | − | 5.32877i | 0.128317 | − | 0.352906i | ||||
\(229\) | − | 4.36383i | − | 0.288370i | −0.989551 | − | 0.144185i | \(-0.953944\pi\) | ||
0.989551 | − | 0.144185i | \(-0.0460560\pi\) | |||||||
\(230\) | 0.967721 | + | 1.04848i | 0.0638096 | + | 0.0691349i | ||||
\(231\) | 0.740952 | + | 3.27561i | 0.0487511 | + | 0.215519i | ||||
\(232\) | −2.05330 | − | 1.31957i | −0.134806 | − | 0.0866342i | ||||
\(233\) | 25.9973 | − | 3.73784i | 1.70314 | − | 0.244874i | 0.779025 | − | 0.626993i | \(-0.215715\pi\) |
0.924113 | + | 0.382119i | \(0.124806\pi\) | |||||||
\(234\) | −5.71521 | + | 6.82015i | −0.373615 | + | 0.445847i | ||||
\(235\) | 0.111682 | − | 0.380355i | 0.00728535 | − | 0.0248116i | ||||
\(236\) | 11.0552 | + | 5.04874i | 0.719633 | + | 0.328645i | ||||
\(237\) | 15.3085 | + | 8.19568i | 0.994395 | + | 0.532366i | ||||
\(238\) | 0.335796 | − | 2.33551i | 0.0217664 | − | 0.151389i | ||||
\(239\) | −3.34005 | − | 11.3752i | −0.216050 | − | 0.735799i | −0.994183 | − | 0.107700i | \(-0.965651\pi\) |
0.778133 | − | 0.628099i | \(-0.216167\pi\) | |||||||
\(240\) | −0.415059 | − | 0.305393i | −0.0267920 | − | 0.0197130i | ||||
\(241\) | 2.07018 | + | 3.22126i | 0.133352 | + | 0.207500i | 0.901507 | − | 0.432764i | \(-0.142462\pi\) |
−0.768155 | + | 0.640263i | \(0.778825\pi\) | |||||||
\(242\) | −3.91448 | − | 6.09106i | −0.251633 | − | 0.391548i | ||||
\(243\) | −15.0824 | + | 3.93960i | −0.967538 | + | 0.252726i | ||||
\(244\) | 0.790125 | + | 2.69092i | 0.0505826 | + | 0.172268i | ||||
\(245\) | 0.0423403 | − | 0.294483i | 0.00270502 | − | 0.0188138i | ||||
\(246\) | −5.80421 | + | 10.8415i | −0.370063 | + | 0.691231i | ||||
\(247\) | 8.83234 | + | 4.03360i | 0.561988 | + | 0.256652i | ||||
\(248\) | 1.37671 | − | 4.68864i | 0.0874211 | − | 0.297729i | ||||
\(249\) | 5.07894 | + | 6.66913i | 0.321865 | + | 0.422639i | ||||
\(250\) | −2.91877 | + | 0.419655i | −0.184599 | + | 0.0265413i | ||||
\(251\) | −13.0813 | − | 8.40684i | −0.825684 | − | 0.530635i | 0.0582194 | − | 0.998304i | \(-0.481458\pi\) |
−0.883904 | + | 0.467669i | \(0.845094\pi\) | |||||||
\(252\) | −1.29115 | − | 2.70794i | −0.0813349 | − | 0.170584i | ||||
\(253\) | 5.27021 | + | 7.66123i | 0.331335 | + | 0.481657i | ||||
\(254\) | 13.9208i | 0.873466i | ||||||||
\(255\) | 1.14269 | + | 0.415482i | 0.0715578 | + | 0.0260185i | ||||
\(256\) | −0.142315 | − | 0.989821i | −0.00889468 | − | 0.0618638i | ||||
\(257\) | 14.3460 | − | 6.55158i | 0.894876 | − | 0.408676i | 0.0857537 | − | 0.996316i | \(-0.472670\pi\) |
0.809122 | + | 0.587640i | \(0.199943\pi\) | |||||||
\(258\) | −12.9029 | − | 0.815780i | −0.803299 | − | 0.0507882i | ||||
\(259\) | 1.97162 | − | 4.31724i | 0.122510 | − | 0.268260i | ||||
\(260\) | 0.577875 | − | 0.666903i | 0.0358383 | − | 0.0413596i | ||||
\(261\) | 6.99064 | − | 2.17869i | 0.432710 | − | 0.134858i | ||||
\(262\) | 7.91095 | − | 2.32286i | 0.488740 | − | 0.143507i | ||||
\(263\) | −7.01363 | − | 8.09416i | −0.432479 | − | 0.499107i | 0.497119 | − | 0.867682i | \(-0.334391\pi\) |
−0.929598 | + | 0.368575i | \(0.879846\pi\) | |||||||
\(264\) | −2.39426 | − | 2.35503i | −0.147356 | − | 0.144942i | ||||
\(265\) | 0.511392 | − | 0.328652i | 0.0314146 | − | 0.0201889i | ||||
\(266\) | −2.47404 | + | 2.14377i | −0.151693 | + | 0.131443i | ||||
\(267\) | −24.3140 | + | 13.5384i | −1.48800 | + | 0.828534i | ||||
\(268\) | 1.70866 | + | 0.245668i | 0.104373 | + | 0.0150066i | ||||
\(269\) | −5.17894 | − | 4.48757i | −0.315765 | − | 0.273612i | 0.482529 | − | 0.875880i | \(-0.339718\pi\) |
−0.798294 | + | 0.602268i | \(0.794264\pi\) | |||||||
\(270\) | 1.50198 | − | 0.365933i | 0.0914077 | − | 0.0222699i | ||||
\(271\) | 18.7168 | + | 5.49573i | 1.13696 | + | 0.333842i | 0.795440 | − | 0.606032i | \(-0.207240\pi\) |
0.341521 | + | 0.939874i | \(0.389058\pi\) | |||||||
\(272\) | 0.980184 | + | 2.14630i | 0.0594324 | + | 0.130139i | ||||
\(273\) | 4.79847 | − | 1.83502i | 0.290417 | − | 0.111061i | ||||
\(274\) | −6.32056 | + | 9.83498i | −0.381839 | + | 0.594153i | ||||
\(275\) | −9.52315 | −0.574268 | ||||||||
\(276\) | −6.10174 | − | 5.63638i | −0.367281 | − | 0.339270i | ||||
\(277\) | −25.7323 | −1.54610 | −0.773051 | − | 0.634344i | \(-0.781270\pi\) | ||||
−0.773051 | + | 0.634344i | \(0.781270\pi\) | |||||||
\(278\) | −6.78672 | + | 10.5603i | −0.407041 | + | 0.633368i | ||||
\(279\) | 8.12828 | + | 12.2000i | 0.486627 | + | 0.730392i | ||||
\(280\) | 0.123591 | + | 0.270626i | 0.00738596 | + | 0.0161730i | ||||
\(281\) | −8.76348 | − | 2.57319i | −0.522785 | − | 0.153504i | 0.00968381 | − | 0.999953i | \(-0.496917\pi\) |
−0.532469 | + | 0.846450i | \(0.678736\pi\) | |||||||
\(282\) | −0.471923 | + | 2.25907i | −0.0281026 | + | 0.134525i | ||||
\(283\) | 11.0180 | + | 9.54717i | 0.654953 | + | 0.567520i | 0.917665 | − | 0.397354i | \(-0.130071\pi\) |
−0.262712 | + | 0.964874i | \(0.584617\pi\) | |||||||
\(284\) | 11.7543 | + | 1.69001i | 0.697489 | + | 0.100284i | ||||
\(285\) | −0.820654 | − | 1.47384i | −0.0486113 | − | 0.0873029i | ||||
\(286\) | 4.34637 | − | 3.76615i | 0.257006 | − | 0.222697i | ||||
\(287\) | 5.97286 | − | 3.83852i | 0.352567 | − | 0.226581i | ||||
\(288\) | 2.55021 | + | 1.58001i | 0.150272 | + | 0.0931032i | ||||
\(289\) | 7.48677 | + | 8.64020i | 0.440398 | + | 0.508247i | ||||
\(290\) | −0.696739 | + | 0.204581i | −0.0409139 | + | 0.0120134i | ||||
\(291\) | −18.5750 | + | 1.48281i | −1.08889 | + | 0.0869237i | ||||
\(292\) | 2.11526 | − | 2.44114i | 0.123786 | − | 0.142857i | ||||
\(293\) | −0.782278 | + | 1.71295i | −0.0457011 | + | 0.100072i | −0.931105 | − | 0.364750i | \(-0.881154\pi\) |
0.885404 | + | 0.464822i | \(0.153882\pi\) | |||||||
\(294\) | −0.109290 | + | 1.72860i | −0.00637391 | + | 0.100814i | ||||
\(295\) | 3.28905 | − | 1.50206i | 0.191496 | − | 0.0874533i | ||||
\(296\) | 0.675447 | + | 4.69783i | 0.0392595 | + | 0.273056i | ||||
\(297\) | 10.0285 | − | 0.967509i | 0.581915 | − | 0.0561406i | ||||
\(298\) | 7.59634i | 0.440044i | ||||||||
\(299\) | 10.4529 | − | 9.64778i | 0.604510 | − | 0.557946i | ||||
\(300\) | 8.29732 | − | 1.87687i | 0.479046 | − | 0.108361i | ||||
\(301\) | 6.27942 | + | 4.03554i | 0.361940 | + | 0.232605i | ||||
\(302\) | 19.2251 | − | 2.76415i | 1.10628 | − | 0.159059i | ||||
\(303\) | −4.76389 | + | 3.62798i | −0.273678 | + | 0.208422i | ||||
\(304\) | 0.922287 | − | 3.14102i | 0.0528968 | − | 0.180150i | ||||
\(305\) | 0.758977 | + | 0.346613i | 0.0434589 | + | 0.0198470i | ||||
\(306\) | −6.82387 | − | 1.88181i | −0.390095 | − | 0.107576i | ||||
\(307\) | 1.06240 | − | 7.38912i | 0.0606341 | − | 0.421720i | −0.936784 | − | 0.349908i | \(-0.886213\pi\) |
0.997418 | − | 0.0718116i | \(-0.0228780\pi\) | |||||||
\(308\) | 0.546267 | + | 1.86041i | 0.0311264 | + | 0.106007i | ||||
\(309\) | −10.6463 | + | 14.4694i | −0.605646 | + | 0.823133i | ||||
\(310\) | −0.785991 | − | 1.22303i | −0.0446413 | − | 0.0694632i | ||||
\(311\) | −3.33127 | − | 5.18355i | −0.188899 | − | 0.293932i | 0.733867 | − | 0.679293i | \(-0.237713\pi\) |
−0.922766 | + | 0.385361i | \(0.874077\pi\) | |||||||
\(312\) | −3.04464 | + | 4.13797i | −0.172369 | + | 0.234267i | ||||
\(313\) | −6.08653 | − | 20.7288i | −0.344031 | − | 1.17166i | −0.931903 | − | 0.362708i | \(-0.881852\pi\) |
0.587872 | − | 0.808954i | \(-0.299966\pi\) | |||||||
\(314\) | −2.78238 | + | 19.3519i | −0.157019 | + | 1.09209i | ||||
\(315\) | −0.860417 | − | 0.237276i | −0.0484790 | − | 0.0133690i | ||||
\(316\) | 9.11933 | + | 4.16466i | 0.513002 | + | 0.234280i | ||||
\(317\) | 5.13574 | − | 17.4907i | 0.288452 | − | 0.982378i | −0.680007 | − | 0.733206i | \(-0.738023\pi\) |
0.968459 | − | 0.249172i | \(-0.0801585\pi\) | |||||||
\(318\) | −2.81553 | + | 2.14419i | −0.157887 | + | 0.120240i | ||||
\(319\) | −4.68435 | + | 0.673508i | −0.262273 | + | 0.0377092i | ||||
\(320\) | −0.250283 | − | 0.160847i | −0.0139912 | − | 0.00899161i | ||||
\(321\) | 19.1347 | − | 4.32832i | 1.06799 | − | 0.241583i | ||||
\(322\) | 1.49478 | + | 4.55693i | 0.0833009 | + | 0.253948i | ||||
\(323\) | 7.72422i | 0.429787i | ||||||||
\(324\) | −8.54697 | + | 2.81945i | −0.474832 | + | 0.156636i | ||||
\(325\) | 2.07321 | + | 14.4195i | 0.115001 | + | 0.799851i | ||||
\(326\) | 18.4217 | − | 8.41290i | 1.02028 | − | 0.465948i | ||||
\(327\) | −1.05600 | + | 16.7023i | −0.0583967 | + | 0.923640i | ||||
\(328\) | −2.94943 | + | 6.45834i | −0.162855 | + | 0.356602i | ||||
\(329\) | 0.872555 | − | 1.00698i | 0.0481055 | − | 0.0555167i | ||||
\(330\) | −0.995985 | + | 0.0795076i | −0.0548272 | + | 0.00437675i | ||||
\(331\) | 11.8649 | − | 3.48384i | 0.652151 | − | 0.191489i | 0.0611111 | − | 0.998131i | \(-0.480536\pi\) |
0.591040 | + | 0.806642i | \(0.298717\pi\) | |||||||
\(332\) | 3.16944 | + | 3.65773i | 0.173946 | + | 0.200744i | ||||
\(333\) | −12.1036 | − | 7.49897i | −0.663276 | − | 0.410941i | ||||
\(334\) | −11.1322 | + | 7.15426i | −0.609130 | + | 0.391464i | ||||
\(335\) | 0.388132 | − | 0.336319i | 0.0212059 | − | 0.0183751i | ||||
\(336\) | −0.842611 | − | 1.51328i | −0.0459682 | − | 0.0825560i | ||||
\(337\) | 21.5602 | + | 3.09989i | 1.17446 | + | 0.168862i | 0.701794 | − | 0.712380i | \(-0.252383\pi\) |
0.472666 | + | 0.881242i | \(0.343292\pi\) | |||||||
\(338\) | 3.17599 | + | 2.75201i | 0.172751 | + | 0.149690i | ||||
\(339\) | 1.88818 | − | 9.03861i | 0.102552 | − | 0.490910i | ||||
\(340\) | 0.673552 | + | 0.197773i | 0.0365285 | + | 0.0107257i | ||||
\(341\) | −3.93600 | − | 8.61863i | −0.213146 | − | 0.466725i | ||||
\(342\) | 5.44531 | + | 8.17302i | 0.294449 | + | 0.441946i | ||||
\(343\) | 0.540641 | − | 0.841254i | 0.0291919 | − | 0.0454234i | ||||
\(344\) | −7.46437 | −0.402452 | ||||||||
\(345\) | −2.45610 | + | 0.273812i | −0.132232 | + | 0.0147415i | ||||
\(346\) | 12.4699 | 0.670384 | ||||||||
\(347\) | −3.29902 | + | 5.13338i | −0.177101 | + | 0.275574i | −0.918443 | − | 0.395553i | \(-0.870553\pi\) |
0.741343 | + | 0.671127i | \(0.234189\pi\) | |||||||
\(348\) | 3.94863 | − | 1.51003i | 0.211669 | − | 0.0809461i | ||||
\(349\) | 5.44303 | + | 11.9186i | 0.291359 | + | 0.637987i | 0.997544 | − | 0.0700401i | \(-0.0223127\pi\) |
−0.706185 | + | 0.708027i | \(0.749585\pi\) | |||||||
\(350\) | −4.71254 | − | 1.38373i | −0.251896 | − | 0.0739633i | ||||
\(351\) | −3.64820 | − | 14.9741i | −0.194726 | − | 0.799260i | ||||
\(352\) | −1.46536 | − | 1.26975i | −0.0781042 | − | 0.0676777i | ||||
\(353\) | −7.39289 | − | 1.06294i | −0.393484 | − | 0.0565744i | −0.0572667 | − | 0.998359i | \(-0.518239\pi\) |
−0.336217 | + | 0.941784i | \(0.609148\pi\) | |||||||
\(354\) | −18.3916 | + | 10.2407i | −0.977503 | + | 0.544285i | ||||
\(355\) | 2.67006 | − | 2.31362i | 0.141712 | − | 0.122794i | ||||
\(356\) | −13.5165 | + | 8.68656i | −0.716376 | + | 0.460387i | ||||
\(357\) | 2.91359 | + | 2.86586i | 0.154204 | + | 0.151677i | ||||
\(358\) | −10.7339 | − | 12.3875i | −0.567302 | − | 0.654701i | ||||
\(359\) | 0.770662 | − | 0.226287i | 0.0406740 | − | 0.0119430i | −0.261332 | − | 0.965249i | \(-0.584162\pi\) |
0.302006 | + | 0.953306i | \(0.402344\pi\) | |||||||
\(360\) | 0.852110 | − | 0.265567i | 0.0449102 | − | 0.0139966i | ||||
\(361\) | −5.42446 | + | 6.26016i | −0.285498 | + | 0.329482i | ||||
\(362\) | −2.12932 | + | 4.66257i | −0.111915 | + | 0.245059i | ||||
\(363\) | 12.5158 | + | 0.791308i | 0.656911 | + | 0.0415329i | ||||
\(364\) | 2.69803 | − | 1.23215i | 0.141415 | − | 0.0645822i | ||||
\(365\) | −0.136763 | − | 0.951207i | −0.00715850 | − | 0.0497884i | ||||
\(366\) | −4.56517 | − | 1.65990i | −0.238625 | − | 0.0867644i | ||||
\(367\) | 27.9965i | 1.46140i | 0.682697 | + | 0.730701i | \(0.260807\pi\) | ||||
−0.682697 | + | 0.730701i | \(0.739193\pi\) | |||||||
\(368\) | −3.72115 | − | 3.02540i | −0.193979 | − | 0.157710i | ||||
\(369\) | −9.16710 | − | 19.2262i | −0.477220 | − | 1.00088i | ||||
\(370\) | 1.18788 | + | 0.763402i | 0.0617548 | + | 0.0396874i | ||||
\(371\) | 2.02246 | − | 0.290786i | 0.105001 | − | 0.0150969i | ||||
\(372\) | 5.12796 | + | 6.73350i | 0.265872 | + | 0.349116i | ||||
\(373\) | −0.160308 | + | 0.545959i | −0.00830044 | + | 0.0282687i | −0.963539 | − | 0.267568i | \(-0.913780\pi\) |
0.955239 | + | 0.295836i | \(0.0955983\pi\) | |||||||
\(374\) | 4.16159 | + | 1.90053i | 0.215190 | + | 0.0982742i | ||||
\(375\) | 2.41063 | − | 4.50276i | 0.124484 | − | 0.232521i | ||||
\(376\) | −0.189624 | + | 1.31887i | −0.00977912 | + | 0.0680153i | ||||
\(377\) | 2.03959 | + | 6.94621i | 0.105044 | + | 0.357748i | ||||
\(378\) | 5.10321 | + | 0.978387i | 0.262481 | + | 0.0503228i | ||||
\(379\) | −15.3867 | − | 23.9422i | −0.790363 | − | 1.22983i | −0.969279 | − | 0.245964i | \(-0.920895\pi\) |
0.178916 | − | 0.983864i | \(-0.442741\pi\) | |||||||
\(380\) | −0.526552 | − | 0.819332i | −0.0270116 | − | 0.0420308i | ||||
\(381\) | −19.4209 | − | 14.2895i | −0.994963 | − | 0.732076i | ||||
\(382\) | −1.53728 | − | 5.23551i | −0.0786543 | − | 0.267872i | ||||
\(383\) | 2.42012 | − | 16.8323i | 0.123662 | − | 0.860090i | −0.829689 | − | 0.558226i | \(-0.811482\pi\) |
0.953351 | − | 0.301864i | \(-0.0976088\pi\) | |||||||
\(384\) | 1.52699 | + | 0.817500i | 0.0779238 | + | 0.0417179i | ||||
\(385\) | 0.524732 | + | 0.239637i | 0.0267428 | + | 0.0122130i | ||||
\(386\) | 2.09938 | − | 7.14983i | 0.106856 | − | 0.363917i | ||||
\(387\) | 14.3828 | − | 17.1635i | 0.731120 | − | 0.872469i | ||||
\(388\) | −10.6489 | + | 1.53108i | −0.540616 | + | 0.0777288i | ||||
\(389\) | −27.4094 | − | 17.6149i | −1.38971 | − | 0.893112i | −0.390093 | − | 0.920776i | \(-0.627557\pi\) |
−0.999617 | + | 0.0276634i | \(0.991193\pi\) | |||||||
\(390\) | 0.337215 | + | 1.49077i | 0.0170756 | + | 0.0754879i | ||||
\(391\) | 10.4357 | + | 4.37569i | 0.527754 | + | 0.221288i | ||||
\(392\) | 1.00000i | 0.0505076i | ||||||||
\(393\) | −4.87989 | + | 13.4210i | −0.246158 | + | 0.677000i | ||||
\(394\) | −1.95609 | − | 13.6049i | −0.0985466 | − | 0.685406i | ||||
\(395\) | 2.71311 | − | 1.23903i | 0.136511 | − | 0.0623426i | ||||
\(396\) | 5.74320 | − | 0.922818i | 0.288607 | − | 0.0463733i | ||||
\(397\) | 9.89262 | − | 21.6618i | 0.496497 | − | 1.08718i | −0.481096 | − | 0.876668i | \(-0.659761\pi\) |
0.977592 | − | 0.210508i | \(-0.0675117\pi\) | |||||||
\(398\) | 0.555616 | − | 0.641216i | 0.0278505 | − | 0.0321412i | ||||
\(399\) | −0.451197 | − | 5.65211i | −0.0225881 | − | 0.282959i | ||||
\(400\) | 4.71254 | − | 1.38373i | 0.235627 | − | 0.0691863i | ||||
\(401\) | −11.6931 | − | 13.4946i | −0.583925 | − | 0.673886i | 0.384519 | − | 0.923117i | \(-0.374367\pi\) |
−0.968444 | + | 0.249232i | \(0.919822\pi\) | |||||||
\(402\) | −2.09666 | + | 2.13158i | −0.104572 | + | 0.106314i | ||||
\(403\) | −12.1931 | + | 7.83601i | −0.607380 | + | 0.390339i | ||||
\(404\) | −2.61279 | + | 2.26399i | −0.129991 | + | 0.112638i | ||||
\(405\) | −1.03126 | + | 2.47105i | −0.0512436 | + | 0.122787i | ||||
\(406\) | −2.41591 | − | 0.347356i | −0.119900 | − | 0.0172390i | ||||
\(407\) | 6.95483 | + | 6.02639i | 0.344738 | + | 0.298717i | ||||
\(408\) | −4.00047 | − | 0.835705i | −0.198053 | − | 0.0413736i | ||||
\(409\) | −5.37776 | − | 1.57905i | −0.265913 | − | 0.0780792i | 0.146058 | − | 0.989276i | \(-0.453341\pi\) |
−0.411971 | + | 0.911197i | \(0.635160\pi\) | |||||||
\(410\) | 0.877488 | + | 1.92143i | 0.0433360 | + | 0.0948927i | ||||
\(411\) | −7.23282 | − | 18.9134i | −0.356769 | − | 0.932928i | ||||
\(412\) | −5.60727 | + | 8.72508i | −0.276250 | + | 0.429854i | ||||
\(413\) | 12.1535 | 0.598034 | ||||||||
\(414\) | 14.1267 | − | 2.72686i | 0.694290 | − | 0.134018i | ||||
\(415\) | 1.43992 | 0.0706827 | ||||||||
\(416\) | −1.60358 | + | 2.49522i | −0.0786218 | + | 0.122338i | ||||
\(417\) | −7.76627 | − | 20.3083i | −0.380316 | − | 0.994502i | ||||
\(418\) | −2.63681 | − | 5.77381i | −0.128971 | − | 0.282406i | ||||
\(419\) | −28.8795 | − | 8.47978i | −1.41085 | − | 0.414264i | −0.514457 | − | 0.857516i | \(-0.672007\pi\) |
−0.896397 | + | 0.443252i | \(0.853825\pi\) | |||||||
\(420\) | −0.504416 | − | 0.105373i | −0.0246130 | − | 0.00514170i | ||||
\(421\) | −7.33180 | − | 6.35304i | −0.357330 | − | 0.309628i | 0.457633 | − | 0.889141i | \(-0.348697\pi\) |
−0.814963 | + | 0.579513i | \(0.803243\pi\) | |||||||
\(422\) | 9.96291 | + | 1.43245i | 0.484987 | + | 0.0697306i | ||||
\(423\) | −2.66721 | − | 2.97729i | −0.129684 | − | 0.144761i | ||||
\(424\) | −1.54419 | + | 1.33805i | −0.0749926 | + | 0.0649815i | ||||
\(425\) | −9.74912 | + | 6.26538i | −0.472902 | + | 0.303915i | ||||
\(426\) | −14.4234 | + | 14.6637i | −0.698817 | + | 0.710457i | ||||
\(427\) | 1.83657 | + | 2.11952i | 0.0888779 | + | 0.102571i | ||||
\(428\) | 10.8677 | − | 3.19105i | 0.525312 | − | 0.154245i | ||||
\(429\) | 0.792658 | + | 9.92956i | 0.0382699 | + | 0.479404i | ||||
\(430\) | −1.45427 | + | 1.67832i | −0.0701312 | + | 0.0809357i | ||||
\(431\) | 9.52572 | − | 20.8584i | 0.458838 | − | 1.00471i | −0.528913 | − | 0.848676i | \(-0.677400\pi\) |
0.987751 | − | 0.156038i | \(-0.0498723\pi\) | |||||||
\(432\) | −4.82205 | + | 1.93593i | −0.232001 | + | 0.0931426i | ||||
\(433\) | −9.22098 | + | 4.21108i | −0.443132 | + | 0.202372i | −0.624469 | − | 0.781049i | \(-0.714685\pi\) |
0.181337 | + | 0.983421i | \(0.441957\pi\) | |||||||
\(434\) | −0.695433 | − | 4.83684i | −0.0333818 | − | 0.232176i | ||||
\(435\) | 0.429785 | − | 1.18202i | 0.0206066 | − | 0.0566737i | ||||
\(436\) | 9.66234i | 0.462742i | ||||||||
\(437\) | −6.96655 | − | 14.0695i | −0.333255 | − | 0.673033i | ||||
\(438\) | 1.23435 | + | 5.45681i | 0.0589793 | + | 0.260736i | ||||
\(439\) | −31.7573 | − | 20.4092i | −1.51569 | − | 0.974077i | −0.992551 | − | 0.121832i | \(-0.961123\pi\) |
−0.523143 | − | 0.852245i | \(-0.675241\pi\) | |||||||
\(440\) | −0.570990 | + | 0.0820959i | −0.0272209 | + | 0.00391377i | ||||
\(441\) | −2.29939 | − | 1.92686i | −0.109495 | − | 0.0917554i | ||||
\(442\) | 1.97171 | − | 6.71504i | 0.0937848 | − | 0.319402i | ||||
\(443\) | 19.5456 | + | 8.92618i | 0.928640 | + | 0.424095i | 0.821539 | − | 0.570153i | \(-0.193116\pi\) |
0.107101 | + | 0.994248i | \(0.465843\pi\) | |||||||
\(444\) | −7.24731 | − | 3.87997i | −0.343942 | − | 0.184135i | ||||
\(445\) | −0.680288 | + | 4.73151i | −0.0322487 | + | 0.224295i | ||||
\(446\) | 1.01728 | + | 3.46454i | 0.0481696 | + | 0.164051i | ||||
\(447\) | −10.5977 | − | 7.79758i | −0.501253 | − | 0.368813i | ||||
\(448\) | −0.540641 | − | 0.841254i | −0.0255429 | − | 0.0397455i | ||||
\(449\) | 4.18954 | + | 6.51906i | 0.197717 | + | 0.307653i | 0.925928 | − | 0.377699i | \(-0.123285\pi\) |
−0.728212 | + | 0.685352i | \(0.759648\pi\) | |||||||
\(450\) | −5.89869 | + | 13.5022i | −0.278067 | + | 0.636500i | ||||
\(451\) | 3.87847 | + | 13.2088i | 0.182630 | + | 0.621980i | ||||
\(452\) | 0.758694 | − | 5.27683i | 0.0356860 | − | 0.248201i | ||||
\(453\) | −15.8781 | + | 29.6583i | −0.746019 | + | 1.39347i | ||||
\(454\) | −15.1856 | − | 6.93501i | −0.712694 | − | 0.325476i | ||||
\(455\) | 0.248612 | − | 0.846694i | 0.0116551 | − | 0.0396936i | ||||
\(456\) | 3.43533 | + | 4.51092i | 0.160874 | + | 0.211243i | ||||
\(457\) | −26.9773 | + | 3.87875i | −1.26195 | + | 0.181440i | −0.740624 | − | 0.671920i | \(-0.765470\pi\) |
−0.521322 | + | 0.853360i | \(0.674561\pi\) | |||||||
\(458\) | 3.67109 | + | 2.35927i | 0.171539 | + | 0.110241i | ||||
\(459\) | 9.62997 | − | 7.58835i | 0.449488 | − | 0.354194i | ||||
\(460\) | −1.40523 | + | 0.247246i | −0.0655192 | + | 0.0115279i | ||||
\(461\) | − | 30.7034i | − | 1.43000i | −0.699124 | − | 0.715000i | \(-0.746427\pi\) | ||
0.699124 | − | 0.715000i | \(-0.253573\pi\) | |||||||
\(462\) | −3.15621 | − | 1.14760i | −0.146840 | − | 0.0533912i | ||||
\(463\) | 2.00877 | + | 13.9713i | 0.0933553 | + | 0.649301i | 0.981744 | + | 0.190208i | \(0.0609163\pi\) |
−0.888388 | + | 0.459093i | \(0.848175\pi\) | |||||||
\(464\) | 2.22019 | − | 1.01393i | 0.103070 | − | 0.0470704i | ||||
\(465\) | 2.51306 | + | 0.158887i | 0.116540 | + | 0.00736821i | ||||
\(466\) | −10.9107 | + | 23.8911i | −0.505429 | + | 1.10673i | ||||
\(467\) | −20.1537 | + | 23.2586i | −0.932601 | + | 1.07628i | 0.0643252 | + | 0.997929i | \(0.479511\pi\) |
−0.996926 | + | 0.0783497i | \(0.975035\pi\) | |||||||
\(468\) | −2.64760 | − | 8.49519i | −0.122385 | − | 0.392690i | ||||
\(469\) | 1.65630 | − | 0.486335i | 0.0764810 | − | 0.0224569i | ||||
\(470\) | 0.259595 | + | 0.299589i | 0.0119742 | + | 0.0138190i | ||||
\(471\) | −24.1418 | − | 23.7463i | −1.11240 | − | 1.09417i | ||||
\(472\) | −10.2242 | + | 6.57068i | −0.470606 | + | 0.302440i | ||||
\(473\) | −10.9380 | + | 9.47784i | −0.502931 | + | 0.435792i | ||||
\(474\) | −15.1710 | + | 8.44742i | −0.696829 | + | 0.388003i | ||||
\(475\) | 15.9147 | + | 2.28819i | 0.730217 | + | 0.104989i | ||||
\(476\) | 1.78321 | + | 1.54516i | 0.0817335 | + | 0.0708224i | ||||
\(477\) | −0.101251 | − | 6.12894i | −0.00463598 | − | 0.280625i | ||||
\(478\) | 11.3752 | + | 3.34005i | 0.520288 | + | 0.152770i | ||||
\(479\) | −11.9483 | − | 26.1632i | −0.545933 | − | 1.19543i | −0.958656 | − | 0.284569i | \(-0.908150\pi\) |
0.412723 | − | 0.910857i | \(-0.364578\pi\) | |||||||
\(480\) | 0.481311 | − | 0.184062i | 0.0219687 | − | 0.00840125i | ||||
\(481\) | 7.61081 | − | 11.8426i | 0.347023 | − | 0.539978i | ||||
\(482\) | −3.82912 | −0.174412 | ||||||||
\(483\) | −7.89177 | − | 2.59228i | −0.359088 | − | 0.117953i | ||||
\(484\) | 7.24045 | 0.329112 | ||||||||
\(485\) | −1.73045 | + | 2.69264i | −0.0785759 | + | 0.122266i | ||||
\(486\) | 4.83997 | − | 14.8181i | 0.219546 | − | 0.672161i | ||||
\(487\) | 14.3090 | + | 31.3324i | 0.648403 | + | 1.41980i | 0.892945 | + | 0.450166i | \(0.148635\pi\) |
−0.244542 | + | 0.969639i | \(0.578638\pi\) | |||||||
\(488\) | −2.69092 | − | 0.790125i | −0.121812 | − | 0.0357673i | ||||
\(489\) | −7.17284 | + | 34.3359i | −0.324367 | + | 1.55273i | ||||
\(490\) | 0.224844 | + | 0.194829i | 0.0101574 | + | 0.00880146i | ||||
\(491\) | −10.0736 | − | 1.44837i | −0.454616 | − | 0.0653639i | −0.0887966 | − | 0.996050i | \(-0.528302\pi\) |
−0.365819 | + | 0.930686i | \(0.619211\pi\) | |||||||
\(492\) | −5.98249 | − | 10.7442i | −0.269712 | − | 0.484385i | ||||
\(493\) | −4.35239 | + | 3.77137i | −0.196022 | + | 0.169854i | ||||
\(494\) | −8.16840 | + | 5.24951i | −0.367514 | + | 0.236187i | ||||
\(495\) | 0.911449 | − | 1.47112i | 0.0409666 | − | 0.0661218i | ||||
\(496\) | 3.20003 | + | 3.69303i | 0.143686 | + | 0.165822i | ||||
\(497\) | 11.3941 | − | 3.34562i | 0.511097 | − | 0.150071i | ||||
\(498\) | −8.35632 | + | 0.667069i | −0.374455 | + | 0.0298921i | ||||
\(499\) | −8.54147 | + | 9.85739i | −0.382369 | + | 0.441277i | −0.914009 | − | 0.405693i | \(-0.867030\pi\) |
0.531641 | + | 0.846970i | \(0.321576\pi\) | |||||||
\(500\) | 1.22497 | − | 2.68231i | 0.0547822 | − | 0.119956i | ||||
\(501\) | 1.44623 | − | 22.8744i | 0.0646126 | − | 1.02195i | ||||
\(502\) | 14.1446 | − | 6.45961i | 0.631303 | − | 0.288306i | ||||
\(503\) | 0.216861 | + | 1.50830i | 0.00966934 | + | 0.0672518i | 0.994085 | − | 0.108607i | \(-0.0346389\pi\) |
−0.984415 | + | 0.175859i | \(0.943730\pi\) | |||||||
\(504\) | 2.97611 | + | 0.377837i | 0.132567 | + | 0.0168302i | ||||
\(505\) | 1.02856i | 0.0457703i | ||||||||
\(506\) | −9.29433 | + | 0.291610i | −0.413183 | + | 0.0129637i | ||||
\(507\) | −7.09948 | + | 1.60592i | −0.315299 | + | 0.0713214i | ||||
\(508\) | −11.7109 | − | 7.52613i | −0.519587 | − | 0.333918i | ||||
\(509\) | 37.8220 | − | 5.43798i | 1.67643 | − | 0.241034i | 0.762524 | − | 0.646960i | \(-0.223960\pi\) |
0.913906 | + | 0.405926i | \(0.133051\pi\) | |||||||
\(510\) | −0.967309 | + | 0.736663i | −0.0428332 | + | 0.0326200i | ||||
\(511\) | 0.910021 | − | 3.09925i | 0.0402569 | − | 0.137103i | ||||
\(512\) | 0.909632 | + | 0.415415i | 0.0402004 | + | 0.0183589i | ||||
\(513\) | −16.9918 | − | 0.792761i | −0.750205 | − | 0.0350013i | ||||
\(514\) | −2.24447 | + | 15.6106i | −0.0989994 | + | 0.688556i | ||||
\(515\) | 0.869328 | + | 2.96066i | 0.0383072 | + | 0.130462i | ||||
\(516\) | 7.66211 | − | 10.4136i | 0.337306 | − | 0.458432i | ||||
\(517\) | 1.39675 | + | 2.17339i | 0.0614292 | + | 0.0955857i | ||||
\(518\) | 2.56596 | + | 3.99271i | 0.112742 | + | 0.175430i | ||||
\(519\) | −12.8002 | + | 17.3968i | −0.561867 | + | 0.763633i | ||||
\(520\) | 0.248612 | + | 0.846694i | 0.0109024 | + | 0.0371300i | ||||
\(521\) | −6.38721 | + | 44.4240i | −0.279829 | + | 1.94625i | 0.0411208 | + | 0.999154i | \(0.486907\pi\) |
−0.320949 | + | 0.947096i | \(0.604002\pi\) | |||||||
\(522\) | −1.94659 | + | 7.05879i | −0.0852000 | + | 0.308955i | ||||
\(523\) | −15.9985 | − | 7.30626i | −0.699565 | − | 0.319480i | 0.0336922 | − | 0.999432i | \(-0.489273\pi\) |
−0.733257 | + | 0.679952i | \(0.762001\pi\) | |||||||
\(524\) | −2.32286 | + | 7.91095i | −0.101475 | + | 0.345591i | ||||
\(525\) | 6.76782 | − | 5.15410i | 0.295372 | − | 0.224943i | ||||
\(526\) | 10.6011 | − | 1.52421i | 0.462230 | − | 0.0664586i | ||||
\(527\) | −9.69968 | − | 6.23360i | −0.422525 | − | 0.271540i | ||||
\(528\) | 3.27561 | − | 0.740952i | 0.142553 | − | 0.0322458i | ||||
\(529\) | −22.9548 | + | 1.44183i | −0.998033 | + | 0.0626884i | ||||
\(530\) | 0.607893i | 0.0264052i | ||||||||
\(531\) | 4.59204 | − | 36.1702i | 0.199277 | − | 1.56965i | ||||
\(532\) | −0.465886 | − | 3.24030i | −0.0201987 | − | 0.140485i | ||||
\(533\) | 19.1559 | − | 8.74819i | 0.829733 | − | 0.378926i | ||||
\(534\) | 1.75598 | − | 27.7737i | 0.0759885 | − | 1.20188i | ||||
\(535\) | 1.39985 | − | 3.06525i | 0.0605210 | − | 0.132522i | ||||
\(536\) | −1.13044 | + | 1.30460i | −0.0488275 | + | 0.0563500i | ||||
\(537\) | 28.3001 | − | 2.25914i | 1.22124 | − | 0.0974893i | ||||
\(538\) | 6.57513 | − | 1.93063i | 0.283474 | − | 0.0832355i | ||||
\(539\) | 1.26975 | + | 1.46536i | 0.0546918 | + | 0.0631177i | ||||
\(540\) | −0.504190 | + | 1.46138i | −0.0216969 | + | 0.0628880i | ||||
\(541\) | 9.13776 | − | 5.87248i | 0.392863 | − | 0.252478i | −0.329265 | − | 0.944238i | \(-0.606801\pi\) |
0.722127 | + | 0.691760i | \(0.243164\pi\) | |||||||
\(542\) | −14.7423 | + | 12.7743i | −0.633238 | + | 0.548704i | ||||
\(543\) | −4.31903 | − | 7.75672i | −0.185347 | − | 0.332873i | ||||
\(544\) | −2.33551 | − | 0.335796i | −0.100134 | − | 0.0143971i | ||||
\(545\) | 2.17252 | + | 1.88250i | 0.0930606 | + | 0.0806375i | ||||
\(546\) | −1.05053 | + | 5.02882i | −0.0449585 | + | 0.215214i | ||||
\(547\) | −6.91913 | − | 2.03164i | −0.295841 | − | 0.0868666i | 0.130444 | − | 0.991456i | \(-0.458360\pi\) |
−0.426285 | + | 0.904589i | \(0.640178\pi\) | |||||||
\(548\) | −4.85656 | − | 10.6344i | −0.207462 | − | 0.454279i | ||||
\(549\) | 7.00184 | − | 4.66501i | 0.298831 | − | 0.199098i | ||||
\(550\) | 5.14860 | − | 8.01139i | 0.219537 | − | 0.341607i | ||||
\(551\) | 7.99013 | 0.340391 | ||||||||
\(552\) | 8.04047 | − | 2.08585i | 0.342225 | − | 0.0887797i | ||||
\(553\) | 10.0253 | 0.426319 | ||||||||
\(554\) | 13.9119 | − | 21.6474i | 0.591060 | − | 0.919708i | ||||
\(555\) | −2.28437 | + | 0.873586i | −0.0969662 | + | 0.0370816i | ||||
\(556\) | −5.21475 | − | 11.4187i | −0.221155 | − | 0.484261i | ||||
\(557\) | −6.75897 | − | 1.98461i | −0.286387 | − | 0.0840907i | 0.135384 | − | 0.990793i | \(-0.456773\pi\) |
−0.421771 | + | 0.906702i | \(0.638591\pi\) | |||||||
\(558\) | −14.6577 | + | 0.242149i | −0.620512 | + | 0.0102510i | ||||
\(559\) | 16.7322 | + | 14.4985i | 0.707695 | + | 0.613221i | ||||
\(560\) | −0.294483 | − | 0.0423403i | −0.0124442 | − | 0.00178920i | ||||
\(561\) | −6.92327 | + | 3.85496i | −0.292301 | + | 0.162757i | ||||
\(562\) | 6.90260 | − | 5.98113i | 0.291168 | − | 0.252299i | ||||
\(563\) | −20.0225 | + | 12.8677i | −0.843847 | + | 0.542307i | −0.889650 | − | 0.456643i | \(-0.849052\pi\) |
0.0458032 | + | 0.998950i | \(0.485415\pi\) | |||||||
\(564\) | −1.64531 | − | 1.61835i | −0.0692799 | − | 0.0681448i | ||||
\(565\) | −1.03865 | − | 1.19867i | −0.0436963 | − | 0.0504283i | ||||
\(566\) | −13.9884 | + | 4.10736i | −0.587976 | + | 0.172645i | ||||
\(567\) | −6.60336 | + | 6.11520i | −0.277315 | + | 0.256814i | ||||
\(568\) | −7.77657 | + | 8.97464i | −0.326298 | + | 0.376568i | ||||
\(569\) | 11.4107 | − | 24.9859i | 0.478361 | − | 1.04746i | −0.504550 | − | 0.863383i | \(-0.668342\pi\) |
0.982911 | − | 0.184082i | \(-0.0589312\pi\) | |||||||
\(570\) | 1.68355 | + | 0.106442i | 0.0705163 | + | 0.00445836i | ||||
\(571\) | −35.8428 | + | 16.3689i | −1.49997 | + | 0.685016i | −0.985058 | − | 0.172224i | \(-0.944905\pi\) |
−0.514917 | + | 0.857240i | \(0.672177\pi\) | |||||||
\(572\) | 0.818463 | + | 5.69253i | 0.0342217 | + | 0.238017i | ||||
\(573\) | 8.88209 | + | 3.22954i | 0.371054 | + | 0.134916i | ||||
\(574\) | 7.09995i | 0.296346i | ||||||||
\(575\) | 12.1069 | − | 20.2051i | 0.504894 | − | 0.842609i | ||||
\(576\) | −2.70794 | + | 1.29115i | −0.112831 | + | 0.0537979i | ||||
\(577\) | 8.80512 | + | 5.65871i | 0.366562 | + | 0.235575i | 0.710935 | − | 0.703258i | \(-0.248272\pi\) |
−0.344373 | + | 0.938833i | \(0.611908\pi\) | |||||||
\(578\) | −11.3163 | + | 1.62703i | −0.470694 | + | 0.0676756i | ||||
\(579\) | 7.81976 | + | 10.2681i | 0.324978 | + | 0.426727i | ||||
\(580\) | 0.204581 | − | 0.696739i | 0.00849477 | − | 0.0289305i | ||||
\(581\) | 4.40250 | + | 2.01055i | 0.182646 | + | 0.0834118i | ||||
\(582\) | 8.79499 | − | 16.4280i | 0.364564 | − | 0.680961i | ||||
\(583\) | −0.563821 | + | 3.92146i | −0.0233511 | + | 0.162410i | ||||
\(584\) | 0.910021 | + | 3.09925i | 0.0376569 | + | 0.128248i | ||||
\(585\) | −2.42592 | − | 1.05981i | −0.100300 | − | 0.0438177i | ||||
\(586\) | −1.01809 | − | 1.58418i | −0.0420570 | − | 0.0654420i | ||||
\(587\) | −13.1292 | − | 20.4295i | −0.541901 | − | 0.843214i | 0.457029 | − | 0.889452i | \(-0.348913\pi\) |
−0.998930 | + | 0.0462371i | \(0.985277\pi\) | |||||||
\(588\) | −1.39510 | − | 1.02649i | −0.0575331 | − | 0.0423318i | ||||
\(589\) | 4.50683 | + | 15.3488i | 0.185701 | + | 0.632438i | ||||
\(590\) | −0.514583 | + | 3.57900i | −0.0211850 | + | 0.147345i | ||||
\(591\) | 20.9882 | + | 11.2364i | 0.863339 | + | 0.462204i | ||||
\(592\) | −4.31724 | − | 1.97162i | −0.177438 | − | 0.0810330i | ||||
\(593\) | 0.443367 | − | 1.50997i | 0.0182069 | − | 0.0620070i | −0.949889 | − | 0.312589i | \(-0.898804\pi\) |
0.968095 | + | 0.250582i | \(0.0806220\pi\) | |||||||
\(594\) | −4.60792 | + | 8.95962i | −0.189065 | + | 0.367618i | ||||
\(595\) | 0.694842 | − | 0.0999032i | 0.0284857 | − | 0.00409563i | ||||
\(596\) | −6.39045 | − | 4.10689i | −0.261763 | − | 0.168225i | ||||
\(597\) | 0.324226 | + | 1.43335i | 0.0132697 | + | 0.0586629i | ||||
\(598\) | 2.46494 | + | 14.0096i | 0.100799 | + | 0.572894i | ||||
\(599\) | 8.77393i | 0.358493i | 0.983804 | + | 0.179247i | \(0.0573660\pi\) | ||||
−0.983804 | + | 0.179247i | \(0.942634\pi\) | |||||||
\(600\) | −2.90694 | + | 7.99486i | −0.118675 | + | 0.326389i | ||||
\(601\) | 1.94394 | + | 13.5204i | 0.0792948 | + | 0.551507i | 0.990282 | + | 0.139073i | \(0.0444123\pi\) |
−0.910987 | + | 0.412434i | \(0.864679\pi\) | |||||||
\(602\) | −6.78983 | + | 3.10081i | −0.276733 | + | 0.126380i | ||||
\(603\) | −0.821574 | − | 5.11310i | −0.0334571 | − | 0.208222i | ||||
\(604\) | −8.06851 | + | 17.6676i | −0.328303 | + | 0.718883i | ||||
\(605\) | 1.41065 | − | 1.62797i | 0.0573510 | − | 0.0661866i | ||||
\(606\) | −0.476500 | − | 5.96908i | −0.0193565 | − | 0.242477i | ||||
\(607\) | 8.16679 | − | 2.39798i | 0.331480 | − | 0.0973312i | −0.111758 | − | 0.993735i | \(-0.535648\pi\) |
0.443237 | + | 0.896404i | \(0.353830\pi\) | |||||||
\(608\) | 2.14377 | + | 2.47404i | 0.0869413 | + | 0.100336i | ||||
\(609\) | 2.96451 | − | 3.01389i | 0.120128 | − | 0.122129i | ||||
\(610\) | −0.701923 | + | 0.451099i | −0.0284200 | + | 0.0182644i | ||||
\(611\) | 2.98678 | − | 2.58806i | 0.120832 | − | 0.104702i | ||||
\(612\) | 5.27234 | − | 4.72322i | 0.213122 | − | 0.190925i | ||||
\(613\) | 15.1364 | + | 2.17629i | 0.611354 | + | 0.0878995i | 0.441036 | − | 0.897490i | \(-0.354611\pi\) |
0.170319 | + | 0.985389i | \(0.445520\pi\) | |||||||
\(614\) | 5.64175 | + | 4.88861i | 0.227683 | + | 0.197288i | ||||
\(615\) | −3.58133 | − | 0.748146i | −0.144413 | − | 0.0301682i | ||||
\(616\) | −1.86041 | − | 0.546267i | −0.0749582 | − | 0.0220097i | ||||
\(617\) | 8.66959 | + | 18.9838i | 0.349024 | + | 0.764257i | 0.999987 | + | 0.00514692i | \(0.00163832\pi\) |
−0.650962 | + | 0.759110i | \(0.725634\pi\) | |||||||
\(618\) | −6.41658 | − | 16.7790i | −0.258113 | − | 0.674949i | ||||
\(619\) | −4.50367 | + | 7.00785i | −0.181018 | + | 0.281669i | −0.919890 | − | 0.392176i | \(-0.871722\pi\) |
0.738872 | + | 0.673846i | \(0.235359\pi\) | |||||||
\(620\) | 1.45381 | 0.0583866 | ||||||||
\(621\) | −10.6967 | + | 22.5073i | −0.429244 | + | 0.903188i | ||||
\(622\) | 6.16170 | 0.247062 | ||||||||
\(623\) | −8.68656 | + | 13.5165i | −0.348020 | + | 0.541529i | ||||
\(624\) | −1.83502 | − | 4.79847i | −0.0734598 | − | 0.192093i | ||||
\(625\) | 9.83708 | + | 21.5402i | 0.393483 | + | 0.861608i | ||||
\(626\) | 20.7288 | + | 6.08653i | 0.828490 | + | 0.243267i | ||||
\(627\) | 10.7617 | + | 2.24814i | 0.429782 | + | 0.0897822i | ||||
\(628\) | −14.7756 | − | 12.8031i | −0.589610 | − | 0.510900i | ||||
\(629\) | 11.0847 | + | 1.59374i | 0.441975 | + | 0.0635464i | ||||
\(630\) | 0.664786 | − | 0.595548i | 0.0264857 | − | 0.0237272i | ||||
\(631\) | 7.40799 | − | 6.41906i | 0.294908 | − | 0.255539i | −0.494822 | − | 0.868995i | \(-0.664767\pi\) |
0.789729 | + | 0.613456i | \(0.210221\pi\) | |||||||
\(632\) | −8.43382 | + | 5.42008i | −0.335479 | + | 0.215599i | ||||
\(633\) | −12.2253 | + | 12.4289i | −0.485911 | + | 0.494004i | ||||
\(634\) | 11.9376 | + | 13.7767i | 0.474101 | + | 0.547141i | ||||
\(635\) | −3.97382 | + | 1.16682i | −0.157696 | + | 0.0463038i | ||||
\(636\) | −0.281618 | − | 3.52781i | −0.0111669 | − | 0.139887i | ||||
\(637\) | 1.94236 | − | 2.24160i | 0.0769592 | − | 0.0888156i | ||||
\(638\) | 1.96596 | − | 4.30485i | 0.0778331 | − | 0.170431i | ||||
\(639\) | −5.65181 | − | 35.1743i | −0.223582 | − | 1.39147i | ||||
\(640\) | 0.270626 | − | 0.123591i | 0.0106974 | − | 0.00488535i | ||||
\(641\) | −1.64767 | − | 11.4598i | −0.0650789 | − | 0.452634i | −0.996141 | − | 0.0877719i | \(-0.972025\pi\) |
0.931062 | − | 0.364862i | \(-0.118884\pi\) | |||||||
\(642\) | −6.70379 | + | 18.4372i | −0.264577 | + | 0.727658i | ||||
\(643\) | 24.7682i | 0.976762i | 0.872631 | + | 0.488381i | \(0.162412\pi\) | ||||
−0.872631 | + | 0.488381i | \(0.837588\pi\) | |||||||
\(644\) | −4.64167 | − | 1.20617i | −0.182908 | − | 0.0475299i | ||||
\(645\) | −0.848631 | − | 3.75164i | −0.0334148 | − | 0.147721i | ||||
\(646\) | −6.49802 | − | 4.17603i | −0.255661 | − | 0.164304i | ||||
\(647\) | −19.5895 | + | 2.81655i | −0.770144 | + | 0.110730i | −0.516176 | − | 0.856482i | \(-0.672645\pi\) |
−0.253968 | + | 0.967213i | \(0.581736\pi\) | |||||||
\(648\) | 2.24897 | − | 8.71448i | 0.0883478 | − | 0.342337i | ||||
\(649\) | −6.63905 | + | 22.6105i | −0.260606 | + | 0.887541i | ||||
\(650\) | −13.2513 | − | 6.05168i | −0.519760 | − | 0.237367i | ||||
\(651\) | 7.46175 | + | 3.99478i | 0.292449 | + | 0.156568i | ||||
\(652\) | −2.88213 | + | 20.0457i | −0.112873 | + | 0.785049i | ||||
\(653\) | −9.98868 | − | 34.0183i | −0.390887 | − | 1.33124i | −0.886513 | − | 0.462703i | \(-0.846880\pi\) |
0.495626 | − | 0.868536i | \(-0.334939\pi\) | |||||||
\(654\) | −13.4800 | − | 9.91832i | −0.527109 | − | 0.387837i | ||||
\(655\) | 1.32617 | + | 2.06356i | 0.0518178 | + | 0.0806300i | ||||
\(656\) | −3.83852 | − | 5.97286i | −0.149869 | − | 0.233201i | ||||
\(657\) | −8.87986 | − | 3.87933i | −0.346436 | − | 0.151347i | ||||
\(658\) | 0.375388 | + | 1.27845i | 0.0146342 | + | 0.0498394i | ||||
\(659\) | −6.20936 | + | 43.1871i | −0.241882 | + | 1.68233i | 0.400776 | + | 0.916176i | \(0.368741\pi\) |
−0.642658 | + | 0.766153i | \(0.722168\pi\) | |||||||
\(660\) | 0.471584 | − | 0.880861i | 0.0183564 | − | 0.0342875i | ||||
\(661\) | 9.17474 | + | 4.18996i | 0.356856 | + | 0.162971i | 0.585773 | − | 0.810475i | \(-0.300791\pi\) |
−0.228917 | + | 0.973446i | \(0.573518\pi\) | |||||||
\(662\) | −3.48384 | + | 11.8649i | −0.135403 | + | 0.461141i | ||||
\(663\) | 7.34422 | + | 9.64367i | 0.285226 | + | 0.374529i | ||||
\(664\) | −4.79061 | + | 0.688785i | −0.185912 | + | 0.0267300i | ||||
\(665\) | −0.819332 | − | 0.526552i | −0.0317723 | − | 0.0204188i | ||||
\(666\) | 12.8523 | − | 6.12799i | 0.498015 | − | 0.237455i | ||||
\(667\) | 4.52633 | − | 10.7949i | 0.175260 | − | 0.417981i | ||||
\(668\) | − | 13.2329i | − | 0.511997i | ||||||
\(669\) | −5.87762 | − | 2.13711i | −0.227242 | − | 0.0826254i | ||||
\(670\) | 0.0730890 | + | 0.508345i | 0.00282368 | + | 0.0196391i | ||||
\(671\) | −4.94643 | + | 2.25896i | −0.190955 | + | 0.0872062i | ||||
\(672\) | 1.72860 | + | 0.109290i | 0.0666822 | + | 0.00421595i | ||||
\(673\) | 8.49689 | − | 18.6056i | 0.327531 | − | 0.717193i | −0.672200 | − | 0.740369i | \(-0.734651\pi\) |
0.999731 | + | 0.0231764i | \(0.00737794\pi\) | |||||||
\(674\) | −14.2641 | + | 16.4617i | −0.549434 | + | 0.634080i | ||||
\(675\) | −12.7820 | − | 22.0892i | −0.491981 | − | 0.850214i | ||||
\(676\) | −4.03221 | + | 1.18396i | −0.155085 | + | 0.0455371i | ||||
\(677\) | 3.66883 | + | 4.23406i | 0.141005 | + | 0.162728i | 0.821859 | − | 0.569690i | \(-0.192937\pi\) |
−0.680855 | + | 0.732419i | \(0.738391\pi\) | |||||||
\(678\) | 6.58294 | + | 6.47508i | 0.252816 | + | 0.248674i | ||||
\(679\) | −9.05054 | + | 5.81643i | −0.347328 | + | 0.223214i | ||||
\(680\) | −0.530527 | + | 0.459704i | −0.0203448 | + | 0.0176288i | ||||
\(681\) | 25.2629 | − | 14.0667i | 0.968077 | − | 0.539037i | ||||
\(682\) | 9.37842 | + | 1.34841i | 0.359118 | + | 0.0516334i | ||||
\(683\) | 37.5293 | + | 32.5193i | 1.43602 | + | 1.24432i | 0.922365 | + | 0.386319i | \(0.126254\pi\) |
0.513653 | + | 0.857998i | \(0.328292\pi\) | |||||||
\(684\) | −9.81954 | + | 0.162221i | −0.375459 | + | 0.00620267i | ||||
\(685\) | −3.33728 | − | 0.979913i | −0.127511 | − | 0.0374406i | ||||
\(686\) | 0.415415 | + | 0.909632i | 0.0158606 | + | 0.0347299i | ||||
\(687\) | −7.05976 | + | 2.69978i | −0.269347 | + | 0.103003i | ||||
\(688\) | 4.03554 | − | 6.27942i | 0.153854 | − | 0.239401i | ||||
\(689\) | 6.06045 | 0.230885 | ||||||||
\(690\) | 1.09752 | − | 2.21424i | 0.0417820 | − | 0.0842946i | ||||
\(691\) | 23.2945 | 0.886164 | 0.443082 | − | 0.896481i | \(-0.353885\pi\) | ||||
0.443082 | + | 0.896481i | \(0.353885\pi\) | |||||||
\(692\) | −6.74172 | + | 10.4903i | −0.256282 | + | 0.398782i | ||||
\(693\) | 4.84084 | − | 3.22524i | 0.183888 | − | 0.122517i | ||||
\(694\) | −2.53489 | − | 5.55063i | −0.0962229 | − | 0.210699i | ||||
\(695\) | −3.58341 | − | 1.05219i | −0.135927 | − | 0.0399117i | ||||
\(696\) | −0.864475 | + | 4.13819i | −0.0327678 | + | 0.156858i | ||||
\(697\) | 12.6607 | + | 10.9706i | 0.479559 | + | 0.415540i | ||||
\(698\) | −12.9693 | − | 1.86470i | −0.490894 | − | 0.0705799i | ||||
\(699\) | −22.1308 | − | 39.7456i | −0.837065 | − | 1.50332i | ||||
\(700\) | 3.71185 | − | 3.21634i | 0.140295 | − | 0.121566i | ||||
\(701\) | 19.0761 | − | 12.2594i | 0.720493 | − | 0.463033i | −0.128315 | − | 0.991733i | \(-0.540957\pi\) |
0.848808 | + | 0.528701i | \(0.177321\pi\) | |||||||
\(702\) | 14.5694 | + | 5.02657i | 0.549887 | + | 0.189716i | ||||
\(703\) | −10.1746 | − | 11.7422i | −0.383744 | − | 0.442864i | ||||
\(704\) | 1.86041 | − | 0.546267i | 0.0701170 | − | 0.0205882i | ||||
\(705\) | −0.684429 | + | 0.0546367i | −0.0257771 | + | 0.00205774i | ||||
\(706\) | 4.89110 | − | 5.64463i | 0.184079 | − | 0.212438i | ||||
\(707\) | −1.43618 | + | 3.14479i | −0.0540130 | + | 0.118272i | ||||
\(708\) | 1.32825 | − | 21.0085i | 0.0499188 | − | 0.789549i | ||||
\(709\) | 6.28333 | − | 2.86950i | 0.235975 | − | 0.107766i | −0.293918 | − | 0.955831i | \(-0.594959\pi\) |
0.529893 | + | 0.848064i | \(0.322232\pi\) | |||||||
\(710\) | 0.502798 | + | 3.49704i | 0.0188697 | + | 0.131241i | ||||
\(711\) | 3.78793 | − | 29.8364i | 0.142058 | − | 1.11895i | ||||
\(712\) | − | 16.0671i | − | 0.602142i | ||||||
\(713\) | 23.2899 | + | 2.60610i | 0.872212 | + | 0.0975992i | ||||
\(714\) | −3.98612 | + | 0.901670i | −0.149177 | + | 0.0337442i | ||||
\(715\) | 1.43939 | + | 0.925042i | 0.0538303 | + | 0.0345946i | ||||
\(716\) | 16.2242 | − | 2.33269i | 0.606327 | − | 0.0871767i | ||||
\(717\) | −16.3362 | + | 12.4410i | −0.610088 | + | 0.464618i | ||||
\(718\) | −0.226287 | + | 0.770662i | −0.00844495 | + | 0.0287609i | ||||
\(719\) | 34.6061 | + | 15.8041i | 1.29059 | + | 0.589392i | 0.938081 | − | 0.346417i | \(-0.112602\pi\) |
0.352508 | + | 0.935809i | \(0.385329\pi\) | |||||||
\(720\) | −0.237276 | + | 0.860417i | −0.00884276 | + | 0.0320659i | ||||
\(721\) | −1.47602 | + | 10.2660i | −0.0549699 | + | 0.382324i | ||||
\(722\) | −2.33370 | − | 7.94784i | −0.0868512 | − | 0.295788i | ||||
\(723\) | 3.93056 | − | 5.34202i | 0.146179 | − | 0.198672i | ||||
\(724\) | −2.77120 | − | 4.31208i | −0.102991 | − | 0.160257i | ||||
\(725\) | 6.48107 | + | 10.0847i | 0.240701 | + | 0.374538i | ||||
\(726\) | −7.43227 | + | 10.1012i | −0.275837 | + | 0.374890i | ||||
\(727\) | −3.33205 | − | 11.3479i | −0.123579 | − | 0.420872i | 0.874343 | − | 0.485309i | \(-0.161293\pi\) |
−0.997922 | + | 0.0644374i | \(0.979475\pi\) | |||||||
\(728\) | −0.422115 | + | 2.93588i | −0.0156446 | + | 0.108811i | ||||
\(729\) | 15.7045 | + | 21.9629i | 0.581649 | + | 0.813440i | ||||
\(730\) | 0.874146 | + | 0.399209i | 0.0323536 | + | 0.0147754i | ||||
\(731\) | −4.96198 | + | 16.8990i | −0.183526 | + | 0.625031i | ||||
\(732\) | 3.86451 | − | 2.94305i | 0.142837 | − | 0.108778i | ||||
\(733\) | 13.9868 | − | 2.01100i | 0.516616 | − | 0.0742781i | 0.120924 | − | 0.992662i | \(-0.461414\pi\) |
0.395691 | + | 0.918384i | \(0.370505\pi\) | |||||||
\(734\) | −23.5521 | − | 15.1360i | −0.869324 | − | 0.558681i | ||||
\(735\) | −0.502607 | + | 0.113691i | −0.0185389 | + | 0.00419356i | ||||
\(736\) | 4.55693 | − | 1.49478i | 0.167971 | − | 0.0550984i | ||||
\(737\) | 3.34708i | 0.123291i | ||||||||
\(738\) | 21.1302 | + | 2.68262i | 0.777815 | + | 0.0987487i | ||||
\(739\) | 0.901977 | + | 6.27339i | 0.0331798 | + | 0.230770i | 0.999663 | − | 0.0259594i | \(-0.00826408\pi\) |
−0.966483 | + | 0.256730i | \(0.917355\pi\) | |||||||
\(740\) | −1.28443 | + | 0.586579i | −0.0472166 | + | 0.0215631i | ||||
\(741\) | 1.06118 | − | 16.7843i | 0.0389835 | − | 0.616588i | ||||
\(742\) | −0.848801 | + | 1.85861i | −0.0311605 | + | 0.0682319i | ||||
\(743\) | −22.6716 | + | 26.1644i | −0.831741 | + | 0.959880i | −0.999664 | − | 0.0259202i | \(-0.991748\pi\) |
0.167923 | + | 0.985800i | \(0.446294\pi\) | |||||||
\(744\) | −8.43696 | + | 0.673507i | −0.309314 | + | 0.0246920i | ||||
\(745\) | −2.16845 | + | 0.636715i | −0.0794460 | + | 0.0233274i | ||||
\(746\) | −0.372621 | − | 0.430028i | −0.0136426 | − | 0.0157444i | ||||
\(747\) | 7.64706 | − | 12.3427i | 0.279791 | − | 0.451595i | ||||
\(748\) | −3.84875 | + | 2.47344i | −0.140724 | + | 0.0904380i | ||||
\(749\) | 8.56002 | − | 7.41730i | 0.312776 | − | 0.271022i | ||||
\(750\) | 2.48468 | + | 4.46232i | 0.0907275 | + | 0.162941i | ||||
\(751\) | 10.7628 | + | 1.54746i | 0.392740 | + | 0.0564676i | 0.335856 | − | 0.941913i | \(-0.390974\pi\) |
0.0568841 | + | 0.998381i | \(0.481883\pi\) | |||||||
\(752\) | −1.00698 | − | 0.872555i | −0.0367208 | − | 0.0318188i | ||||
\(753\) | −5.50746 | + | 26.3639i | −0.200703 | + | 0.960753i | ||||
\(754\) | −6.94621 | − | 2.03959i | −0.252966 | − | 0.0742775i | ||||
\(755\) | 2.40047 | + | 5.25631i | 0.0873622 | + | 0.191297i | ||||
\(756\) | −3.58208 | + | 3.76414i | −0.130279 | + | 0.136900i | ||||
\(757\) | 4.58986 | − | 7.14196i | 0.166821 | − | 0.259579i | −0.747771 | − | 0.663957i | \(-0.768876\pi\) |
0.914592 | + | 0.404378i | \(0.132512\pi\) | |||||||
\(758\) | 28.4601 | 1.03372 | ||||||||
\(759\) | 9.13373 | − | 13.2659i | 0.331533 | − | 0.481521i | ||||
\(760\) | 0.973941 | 0.0353286 | ||||||||
\(761\) | −5.11500 | + | 7.95910i | −0.185419 | + | 0.288517i | −0.921502 | − | 0.388374i | \(-0.873037\pi\) |
0.736083 | + | 0.676891i | \(0.236673\pi\) | |||||||
\(762\) | 22.5209 | − | 8.61239i | 0.815845 | − | 0.311994i | ||||
\(763\) | 4.01388 | + | 8.78918i | 0.145312 | + | 0.318190i | ||||
\(764\) | 5.23551 | + | 1.53728i | 0.189414 | + | 0.0556170i | ||||
\(765\) | −0.0347862 | − | 2.10567i | −0.00125770 | − | 0.0761308i | ||||
\(766\) | 12.8518 | + | 11.1362i | 0.464355 | + | 0.402366i | ||||
\(767\) | 35.6812 | + | 5.13018i | 1.28837 | + | 0.185240i | ||||
\(768\) | −1.51328 | + | 0.842611i | −0.0546057 | + | 0.0304051i | ||||
\(769\) | −25.8293 | + | 22.3812i | −0.931430 | + | 0.807088i | −0.981462 | − | 0.191659i | \(-0.938613\pi\) |
0.0500319 | + | 0.998748i | \(0.484068\pi\) | |||||||
\(770\) | −0.485287 | + | 0.311875i | −0.0174885 | + | 0.0112392i | ||||
\(771\) | −19.4745 | − | 19.1555i | −0.701358 | − | 0.689867i | ||||
\(772\) | 4.87981 | + | 5.63160i | 0.175628 | + | 0.202686i | ||||
\(773\) | −25.3417 | + | 7.44099i | −0.911477 | + | 0.267634i | −0.703663 | − | 0.710534i | \(-0.748453\pi\) |
−0.207815 | + | 0.978168i | \(0.566635\pi\) | |||||||
\(774\) | 6.66291 | + | 21.3789i | 0.239493 | + | 0.768448i | ||||
\(775\) | −15.7169 | + | 18.1383i | −0.564568 | + | 0.651546i | ||||
\(776\) | 4.46920 | − | 9.78618i | 0.160435 | − | 0.351304i | ||||
\(777\) | −8.20418 | − | 0.518705i | −0.294323 | − | 0.0186084i | ||||
\(778\) | 29.6372 | − | 13.5349i | 1.06255 | − | 0.485249i | ||||
\(779\) | −3.30776 | − | 23.0060i | −0.118513 | − | 0.824275i | ||||
\(780\) | −1.43642 | − | 0.522285i | −0.0514322 | − | 0.0187008i | ||||
\(781\) | 23.0254i | 0.823913i | ||||||||
\(782\) | −9.32301 | + | 6.41336i | −0.333390 | + | 0.229341i | ||||
\(783\) | −7.84958 | − | 9.96149i | −0.280521 | − | 0.355994i | ||||
\(784\) | −0.841254 | − | 0.540641i | −0.0300448 | − | 0.0193086i | ||||
\(785\) | −5.75742 | + | 0.827791i | −0.205491 | + | 0.0295451i | ||||
\(786\) | −8.65219 | − | 11.3612i | −0.308613 | − | 0.405239i | ||||
\(787\) | 6.07873 | − | 20.7023i | 0.216683 | − | 0.737956i | −0.777368 | − | 0.629046i | \(-0.783446\pi\) |
0.994052 | − | 0.108910i | \(-0.0347360\pi\) | |||||||
\(788\) | 12.5027 | + | 5.70981i | 0.445392 | + | 0.203404i | ||||
\(789\) | −8.75551 | + | 16.3542i | −0.311705 | + | 0.582226i | ||||
\(790\) | −0.424474 | + | 2.95228i | −0.0151021 | + | 0.105037i | ||||
\(791\) | −1.50194 | − | 5.11515i | −0.0534030 | − | 0.181874i | ||||
\(792\) | −2.32868 | + | 5.33040i | −0.0827462 | + | 0.189407i | ||||
\(793\) | 4.49727 | + | 6.99789i | 0.159703 | + | 0.248502i | ||||
\(794\) | 12.8747 | + | 20.0335i | 0.456907 | + | 0.710961i | ||||
\(795\) | −0.848074 | − | 0.623997i | −0.0300781 | − | 0.0221309i | ||||
\(796\) | 0.239036 | + | 0.814082i | 0.00847240 | + | 0.0288544i | ||||
\(797\) | −5.21749 | + | 36.2884i | −0.184813 | + | 1.28540i | 0.660376 | + | 0.750935i | \(0.270397\pi\) |
−0.845189 | + | 0.534467i | \(0.820512\pi\) | |||||||
\(798\) | 4.99879 | + | 2.67619i | 0.176955 | + | 0.0947360i | ||||
\(799\) | 2.85979 | + | 1.30602i | 0.101172 | + | 0.0462038i | ||||
\(800\) | −1.38373 | + | 4.71254i | −0.0489221 | + | 0.166613i | ||||
\(801\) | 36.9446 | + | 30.9592i | 1.30537 | + | 1.09389i | ||||
\(802\) | 17.6741 | − | 2.54115i | 0.624094 | − | 0.0897312i | ||||
\(803\) | 5.26877 | + | 3.38603i | 0.185931 | + | 0.119490i | ||||
\(804\) | −0.659661 | − | 2.91624i | −0.0232644 | − | 0.102848i | ||||
\(805\) | −1.17553 | + | 0.808656i | −0.0414321 | + | 0.0285014i | ||||
\(806\) | − | 14.4939i | − | 0.510527i | ||||||
\(807\) | −4.05589 | + | 11.1548i | −0.142774 | + | 0.392667i | ||||
\(808\) | −0.492013 | − | 3.42202i | −0.0173089 | − | 0.120386i | ||||
\(809\) | 5.07586 | − | 2.31807i | 0.178458 | − | 0.0814990i | −0.324183 | − | 0.945995i | \(-0.605089\pi\) |
0.502641 | + | 0.864496i | \(0.332362\pi\) | |||||||
\(810\) | −1.52124 | − | 2.20350i | −0.0534508 | − | 0.0774230i | ||||
\(811\) | 7.25263 | − | 15.8810i | 0.254674 | − | 0.557659i | −0.738506 | − | 0.674247i | \(-0.764468\pi\) |
0.993180 | + | 0.116588i | \(0.0371957\pi\) | |||||||
\(812\) | 1.59836 | − | 1.84460i | 0.0560913 | − | 0.0647328i | ||||
\(813\) | −2.68860 | − | 33.6798i | −0.0942932 | − | 1.18120i | ||||
\(814\) | −8.82979 | + | 2.59266i | −0.309484 | + | 0.0908727i | ||||
\(815\) | 3.94563 | + | 4.55350i | 0.138209 | + | 0.159502i | ||||
\(816\) | 2.86586 | − | 2.91359i | 0.100325 | − | 0.101996i | ||||
\(817\) | 20.5565 | − | 13.2109i | 0.719180 | − | 0.462189i | ||||
\(818\) | 4.23582 | − | 3.67036i | 0.148102 | − | 0.128331i | ||||
\(819\) | −5.93737 | − | 6.62764i | −0.207468 | − | 0.231589i | ||||
\(820\) | −2.09082 | − | 0.300614i | −0.0730145 | − | 0.0104979i | ||||
\(821\) | −35.3316 | − | 30.6150i | −1.23308 | − | 1.06847i | −0.995269 | − | 0.0971618i | \(-0.969024\pi\) |
−0.237814 | − | 0.971311i | \(-0.576431\pi\) | |||||||
\(822\) | 19.8213 | + | 4.14070i | 0.691347 | + | 0.144424i | ||||
\(823\) | 39.5183 | + | 11.6036i | 1.37752 | + | 0.404477i | 0.884906 | − | 0.465769i | \(-0.154222\pi\) |
0.492617 | + | 0.870246i | \(0.336041\pi\) | |||||||
\(824\) | −4.30849 | − | 9.43427i | −0.150093 | − | 0.328659i | ||||
\(825\) | 5.89171 | + | 15.4065i | 0.205123 | + | 0.536384i | ||||
\(826\) | −6.57068 | + | 10.2242i | −0.228623 | + | 0.355744i | ||||
\(827\) | −47.3223 | −1.64556 | −0.822778 | − | 0.568362i | \(-0.807577\pi\) | ||||
−0.822778 | + | 0.568362i | \(0.807577\pi\) | |||||||
\(828\) | −5.34350 | + | 13.3584i | −0.185700 | + | 0.464237i | ||||
\(829\) | −23.1417 | −0.803743 | −0.401872 | − | 0.915696i | \(-0.631640\pi\) | ||||
−0.401872 | + | 0.915696i | \(0.631640\pi\) | |||||||
\(830\) | −0.778478 | + | 1.21133i | −0.0270214 | + | 0.0420460i | ||||
\(831\) | 15.9198 | + | 41.6294i | 0.552253 | + | 1.44411i | ||||
\(832\) | −1.23215 | − | 2.69803i | −0.0427171 | − | 0.0935374i | ||||
\(833\) | 2.26395 | + | 0.664756i | 0.0784413 | + | 0.0230324i | ||||
\(834\) | 21.2832 | + | 4.44610i | 0.736976 | + | 0.153956i | ||||
\(835\) | −2.97535 | − | 2.57815i | −0.102966 | − | 0.0892207i | ||||
\(836\) | 6.28281 | + | 0.903331i | 0.217295 | + | 0.0312424i | ||||
\(837\) | 14.7082 | − | 20.6976i | 0.508391 | − | 0.715415i | ||||
\(838\) | 22.7471 | − | 19.7104i | 0.785784 | − | 0.680886i | ||||
\(839\) | 25.6027 | − | 16.4538i | 0.883902 | − | 0.568050i | −0.0180732 | − | 0.999837i | \(-0.505753\pi\) |
0.901976 | + | 0.431787i | \(0.142117\pi\) | |||||||
\(840\) | 0.361354 | − | 0.367373i | 0.0124679 | − | 0.0126756i | ||||
\(841\) | −15.0898 | − | 17.4145i | −0.520337 | − | 0.600500i | ||||
\(842\) | 9.30839 | − | 2.73319i | 0.320788 | − | 0.0941920i | ||||
\(843\) | 1.25884 | + | 15.7694i | 0.0433569 | + | 0.543128i | ||||
\(844\) | −6.59141 | + | 7.60690i | −0.226886 | + | 0.261840i | ||||
\(845\) | −0.519383 | + | 1.13729i | −0.0178673 | + | 0.0391240i | ||||
\(846\) | 3.94666 | − | 0.634150i | 0.135689 | − | 0.0218025i | ||||
\(847\) | 6.58615 | − | 3.00779i | 0.226303 | − | 0.103349i | ||||
\(848\) | −0.290786 | − | 2.02246i | −0.00998564 | − | 0.0694516i | ||||
\(849\) | 8.62877 | − | 23.7314i | 0.296139 | − | 0.814460i | ||||
\(850\) | − | 11.5888i | − | 0.397493i | ||||||
\(851\) | −21.6279 | + | 7.09444i | −0.741393 | + | 0.243194i | ||||
\(852\) | −4.53797 | − | 20.0615i | −0.155468 | − | 0.687297i | ||||
\(853\) | −29.1918 | − | 18.7605i | −0.999509 | − | 0.642346i | −0.0648519 | − | 0.997895i | \(-0.520657\pi\) |
−0.934658 | + | 0.355549i | \(0.884294\pi\) | |||||||
\(854\) | −2.77598 | + | 0.399125i | −0.0949919 | + | 0.0136578i | ||||
\(855\) | −1.87665 | + | 2.23947i | −0.0641802 | + | 0.0765883i | ||||
\(856\) | −3.19105 | + | 10.8677i | −0.109068 | + | 0.371451i | ||||
\(857\) | 36.5798 | + | 16.7054i | 1.24954 | + | 0.570647i | 0.926699 | − | 0.375805i | \(-0.122634\pi\) |
0.322844 | + | 0.946452i | \(0.395361\pi\) | |||||||
\(858\) | −8.78182 | − | 4.70150i | −0.299806 | − | 0.160507i | ||||
\(859\) | 4.18093 | − | 29.0790i | 0.142652 | − | 0.992163i | −0.785208 | − | 0.619232i | \(-0.787444\pi\) |
0.927859 | − | 0.372931i | \(-0.121647\pi\) | |||||||
\(860\) | −0.625653 | − | 2.13078i | −0.0213346 | − | 0.0726590i | ||||
\(861\) | −9.90516 | − | 7.28804i | −0.337567 | − | 0.248376i | ||||
\(862\) | 12.3972 | + | 19.2904i | 0.422251 | + | 0.657035i | ||||
\(863\) | 16.1055 | + | 25.0607i | 0.548239 | + | 0.853076i | 0.999221 | − | 0.0394565i | \(-0.0125627\pi\) |
−0.450982 | + | 0.892533i | \(0.648926\pi\) | |||||||
\(864\) | 0.978387 | − | 5.10321i | 0.0332854 | − | 0.173615i | ||||
\(865\) | 1.04521 | + | 3.55965i | 0.0355381 | + | 0.121032i | ||||
\(866\) | 1.44265 | − | 10.0339i | 0.0490233 | − | 0.340965i | ||||
\(867\) | 9.34616 | − | 17.4575i | 0.317412 | − | 0.592887i | ||||
\(868\) | 4.44499 | + | 2.02996i | 0.150873 | + | 0.0689013i | ||||
\(869\) | −5.47649 | + | 18.6512i | −0.185777 | + | 0.632699i | ||||
\(870\) | 0.762023 | + | 1.00061i | 0.0258350 | + | 0.0339238i | ||||
\(871\) | 5.06800 | − | 0.728668i | 0.171722 | − | 0.0246900i | ||||
\(872\) | −8.12848 | − | 5.22386i | −0.275265 | − | 0.176902i | ||||
\(873\) | 13.8907 | + | 29.1331i | 0.470129 | + | 0.986005i | ||||
\(874\) | 15.6024 | + | 1.74588i | 0.527758 | + | 0.0590553i | ||||
\(875\) | − | 2.94878i | − | 0.0996870i | ||||||
\(876\) | −5.25790 | − | 1.91178i | −0.177648 | − | 0.0645930i | ||||
\(877\) | 0.255147 | + | 1.77459i | 0.00861570 | + | 0.0599235i | 0.993676 | − | 0.112288i | \(-0.0358179\pi\) |
−0.985060 | + | 0.172211i | \(0.944909\pi\) | |||||||
\(878\) | 34.3386 | − | 15.6819i | 1.15887 | − | 0.529239i | ||||
\(879\) | 3.25517 | + | 0.205806i | 0.109794 | + | 0.00694167i | ||||
\(880\) | 0.239637 | − | 0.524732i | 0.00807816 | − | 0.0176887i | ||||
\(881\) | −34.0380 | + | 39.2819i | −1.14677 | + | 1.32344i | −0.208304 | + | 0.978064i | \(0.566794\pi\) |
−0.938464 | + | 0.345377i | \(0.887751\pi\) | |||||||
\(882\) | 2.86413 | − | 0.892629i | 0.0964401 | − | 0.0300564i | ||||
\(883\) | 16.8450 | − | 4.94613i | 0.566879 | − | 0.166451i | 0.0142799 | − | 0.999898i | \(-0.495454\pi\) |
0.552599 | + | 0.833447i | \(0.313636\pi\) | |||||||
\(884\) | 4.58306 | + | 5.28913i | 0.154145 | + | 0.177893i | ||||
\(885\) | −4.46486 | − | 4.39171i | −0.150085 | − | 0.147626i | ||||
\(886\) | −18.0763 | + | 11.6170i | −0.607286 | + | 0.390279i | ||||
\(887\) | −18.2478 | + | 15.8118i | −0.612702 | + | 0.530910i | −0.904997 | − | 0.425419i | \(-0.860127\pi\) |
0.292294 | + | 0.956328i | \(0.405581\pi\) | |||||||
\(888\) | 7.18223 | − | 3.99915i | 0.241020 | − | 0.134203i | ||||
\(889\) | −13.7791 | − | 1.98113i | −0.462135 | − | 0.0664450i | ||||
\(890\) | −3.61261 | − | 3.13034i | −0.121095 | − | 0.104929i | ||||
\(891\) | −7.76961 | − | 15.6255i | −0.260292 | − | 0.523474i | ||||
\(892\) | −3.46454 | − | 1.01728i | −0.116001 | − | 0.0340611i | ||||
\(893\) | −1.81199 | − | 3.96770i | −0.0606358 | − | 0.132774i | ||||
\(894\) | 12.2893 | − | 4.69965i | 0.411015 | − | 0.157180i | ||||
\(895\) | 2.63645 | − | 4.10240i | 0.0881268 | − | 0.137128i | ||||
\(896\) | 1.00000 | 0.0334077 | ||||||||
\(897\) | −22.0750 | − | 10.9419i | −0.737064 | − | 0.365338i | ||||
\(898\) | −7.74922 | −0.258595 | ||||||||
\(899\) | −6.44820 | + | 10.0336i | −0.215060 | + | 0.334639i | ||||
\(900\) | −8.16971 | − | 12.2621i | −0.272324 | − | 0.408738i | ||||
\(901\) | 2.00277 | + | 4.38546i | 0.0667220 | + | 0.146101i | ||||
\(902\) | −13.2088 | − | 3.87847i | −0.439806 | − | 0.129139i | ||||
\(903\) | 2.64375 | − | 12.6555i | 0.0879785 | − | 0.421148i | ||||
\(904\) | 4.02897 | + | 3.49113i | 0.134002 | + | 0.116113i | ||||
\(905\) | −1.50945 | − | 0.217027i | −0.0501760 | − | 0.00721422i | ||||
\(906\) | −16.3658 | − | 29.3920i | −0.543719 | − | 0.976485i | ||||
\(907\) | 30.7966 | − | 26.6854i | 1.02258 | − | 0.886074i | 0.0290461 | − | 0.999578i | \(-0.490753\pi\) |
0.993538 | + | 0.113504i | \(0.0362076\pi\) | |||||||
\(908\) | 14.0440 | − | 9.02555i | 0.466068 | − | 0.299524i | ||||
\(909\) | 8.81661 | + | 5.46244i | 0.292428 | + | 0.181178i | ||||
\(910\) | 0.577875 | + | 0.666903i | 0.0191564 | + | 0.0221076i | ||||
\(911\) | 17.2173 | − | 5.05545i | 0.570434 | − | 0.167495i | 0.0162195 | − | 0.999868i | \(-0.494837\pi\) |
0.554214 | + | 0.832374i | \(0.313019\pi\) | |||||||
\(912\) | −5.65211 | + | 0.451197i | −0.187160 | + | 0.0149406i | ||||
\(913\) | −6.14540 | + | 7.09217i | −0.203383 | + | 0.234717i | ||||
\(914\) | 11.3220 | − | 24.7918i | 0.374499 | − | 0.820039i | ||||
\(915\) | 0.0911890 | − | 1.44230i | 0.00301462 | − | 0.0476811i | ||||
\(916\) | −3.96948 | + | 1.81280i | −0.131155 | + | 0.0598966i | ||||
\(917\) | 1.17338 | + | 8.16100i | 0.0387483 | + | 0.269500i | ||||
\(918\) | 1.17737 | + | 12.2038i | 0.0388590 | + | 0.402786i | ||||
\(919\) | 20.7385i | 0.684100i | 0.939682 | + | 0.342050i | \(0.111121\pi\) | ||||
−0.939682 | + | 0.342050i | \(0.888879\pi\) | |||||||
\(920\) | 0.551728 | − | 1.31583i | 0.0181899 | − | 0.0433815i | ||||
\(921\) | −12.6113 | + | 2.85272i | −0.415557 | + | 0.0940002i | ||||
\(922\) | 25.8294 | + | 16.5995i | 0.850644 | + | 0.546676i | ||||
\(923\) | 34.8640 | − | 5.01269i | 1.14756 | − | 0.164995i | ||||
\(924\) | 2.67180 | − | 2.03473i | 0.0878957 | − | 0.0669378i | ||||
\(925\) | 6.56736 | − | 22.3664i | 0.215933 | − | 0.735402i | ||||
\(926\) | −12.8394 | − | 5.86356i | −0.421929 | − | 0.192689i | ||||
\(927\) | 29.9949 | + | 8.27166i | 0.985163 | + | 0.271677i | ||||
\(928\) | −0.347356 | + | 2.41591i | −0.0114025 | + | 0.0793063i | ||||
\(929\) | 12.3231 | + | 41.9685i | 0.404307 | + | 1.37694i | 0.870460 | + | 0.492238i | \(0.163821\pi\) |
−0.466154 | + | 0.884704i | \(0.654361\pi\) | |||||||
\(930\) | −1.49233 | + | 2.02822i | −0.0489354 | + | 0.0665080i | ||||
\(931\) | −1.76986 | − | 2.75395i | −0.0580047 | − | 0.0902570i | ||||
\(932\) | −14.1997 | − | 22.0952i | −0.465127 | − | 0.723752i | ||||
\(933\) | −6.32493 | + | 8.59621i | −0.207069 | + | 0.281427i | ||||
\(934\) | −8.67046 | − | 29.5289i | −0.283706 | − | 0.966215i | ||||
\(935\) | −0.193708 | + | 1.34727i | −0.00633492 | + | 0.0440604i | ||||
\(936\) | 8.57801 | + | 2.36555i | 0.280381 | + | 0.0773203i | ||||
\(937\) | 13.1589 | + | 6.00945i | 0.429881 | + | 0.196320i | 0.618592 | − | 0.785713i | \(-0.287704\pi\) |
−0.188711 | + | 0.982033i | \(0.560431\pi\) | |||||||
\(938\) | −0.486335 | + | 1.65630i | −0.0158794 | + | 0.0540803i | ||||
\(939\) | −29.7693 | + | 22.6711i | −0.971485 | + | 0.739843i | ||||
\(940\) | −0.392378 | + | 0.0564154i | −0.0127979 | + | 0.00184007i | ||||
\(941\) | −33.6102 | − | 21.5999i | −1.09566 | − | 0.704138i | −0.137537 | − | 0.990497i | \(-0.543919\pi\) |
−0.958122 | + | 0.286359i | \(0.907555\pi\) | |||||||
\(942\) | 33.0287 | − | 7.47118i | 1.07613 | − | 0.243424i | ||||
\(943\) | −32.9557 | − | 8.56377i | −1.07318 | − | 0.278875i | ||||
\(944\) | − | 12.1535i | − | 0.395563i | ||||||
\(945\) | 0.148454 | + | 1.53877i | 0.00482920 | + | 0.0500562i | ||||
\(946\) | −2.05973 | − | 14.3258i | −0.0669677 | − | 0.465770i | ||||
\(947\) | 10.0470 | − | 4.58832i | 0.326484 | − | 0.149100i | −0.245429 | − | 0.969415i | \(-0.578929\pi\) |
0.571913 | + | 0.820314i | \(0.306202\pi\) | |||||||
\(948\) | 1.09566 | − | 17.3297i | 0.0355855 | − | 0.562843i | ||||
\(949\) | 3.97995 | − | 8.71487i | 0.129195 | − | 0.282897i | ||||
\(950\) | −10.5291 | + | 12.1512i | −0.341609 | + | 0.394238i | ||||
\(951\) | −31.4737 | + | 2.51248i | −1.02060 | + | 0.0814729i | ||||
\(952\) | −2.26395 | + | 0.664756i | −0.0733751 | + | 0.0215449i | ||||
\(953\) | 9.47944 | + | 10.9399i | 0.307069 | + | 0.354377i | 0.888219 | − | 0.459420i | \(-0.151943\pi\) |
−0.581150 | + | 0.813796i | \(0.697397\pi\) | |||||||
\(954\) | 5.21074 | + | 3.22838i | 0.168704 | + | 0.104523i | ||||
\(955\) | 1.36568 | − | 0.877667i | 0.0441922 | − | 0.0284006i | ||||
\(956\) | −8.95971 | + | 7.76364i | −0.289778 | + | 0.251094i | ||||
\(957\) | 3.98767 | + | 7.16161i | 0.128903 | + | 0.231502i | ||||
\(958\) | 28.4696 | + | 4.09331i | 0.919811 | + | 0.132249i | ||||
\(959\) | −8.83537 | − | 7.65589i | −0.285309 | − | 0.247222i | ||||
\(960\) | −0.105373 | + | 0.504416i | −0.00340091 | + | 0.0162800i | ||||
\(961\) | 6.83288 | + | 2.00631i | 0.220415 | + | 0.0647198i | ||||
\(962\) | 5.84796 | + | 12.8052i | 0.188546 | + | 0.412857i | ||||
\(963\) | −18.8404 | − | 28.2781i | −0.607124 | − | 0.911249i | ||||
\(964\) | 2.07018 | − | 3.22126i | 0.0666760 | − | 0.103750i | ||||
\(965\) | 2.21696 | 0.0713664 | ||||||||
\(966\) | 6.44738 | − | 5.23749i | 0.207441 | − | 0.168513i | ||||
\(967\) | 16.8925 | 0.543225 | 0.271612 | − | 0.962407i | \(-0.412443\pi\) | ||||
0.271612 | + | 0.962407i | \(0.412443\pi\) | |||||||
\(968\) | −3.91448 | + | 6.09106i | −0.125816 | + | 0.195774i | ||||
\(969\) | 12.4962 | − | 4.77876i | 0.401435 | − | 0.153516i | ||||
\(970\) | −1.32964 | − | 2.91150i | −0.0426921 | − | 0.0934827i | ||||
\(971\) | 14.2015 | + | 4.16993i | 0.455747 | + | 0.133819i | 0.501545 | − | 0.865131i | \(-0.332765\pi\) |
−0.0457984 | + | 0.998951i | \(0.514583\pi\) | |||||||
\(972\) | 9.84905 | + | 12.0829i | 0.315909 | + | 0.387559i | ||||
\(973\) | −9.48701 | − | 8.22054i | −0.304140 | − | 0.263538i | ||||
\(974\) | −34.0945 | − | 4.90205i | −1.09246 | − | 0.157072i | ||||
\(975\) | 22.0451 | − | 12.2750i | 0.706009 | − | 0.393114i | ||||
\(976\) | 2.11952 | − | 1.83657i | 0.0678441 | − | 0.0587872i | ||||
\(977\) | −41.1239 | + | 26.4287i | −1.31567 | + | 0.845530i | −0.994825 | − | 0.101602i | \(-0.967603\pi\) |
−0.320845 | + | 0.947132i | \(0.603967\pi\) | |||||||
\(978\) | −25.0073 | − | 24.5976i | −0.799645 | − | 0.786544i | ||||
\(979\) | −20.4012 | − | 23.5442i | −0.652025 | − | 0.752477i | ||||
\(980\) | −0.285460 | + | 0.0838187i | −0.00911869 | + | 0.00267749i | ||||
\(981\) | 27.6742 | − | 8.62489i | 0.883568 | − | 0.275371i | ||||
\(982\) | 6.66465 | − | 7.69142i | 0.212678 | − | 0.245443i | ||||
\(983\) | 20.2361 | − | 44.3110i | 0.645433 | − | 1.41330i | −0.250062 | − | 0.968230i | \(-0.580451\pi\) |
0.895495 | − | 0.445071i | \(-0.146822\pi\) | |||||||
\(984\) | 12.2730 | + | 0.775952i | 0.391248 | + | 0.0247365i | ||||
\(985\) | 3.71971 | − | 1.69873i | 0.118520 | − | 0.0541262i | ||||
\(986\) | −0.819597 | − | 5.70042i | −0.0261013 | − | 0.181538i | ||||
\(987\) | −2.16891 | − | 0.788618i | −0.0690372 | − | 0.0251020i | ||||
\(988\) | − | 9.70980i | − | 0.308910i | ||||||
\(989\) | −6.20324 | − | 35.2563i | −0.197252 | − | 1.12108i | ||||
\(990\) | 0.744815 | + | 1.56211i | 0.0236718 | + | 0.0496470i | ||||
\(991\) | 1.17847 | + | 0.757357i | 0.0374354 | + | 0.0240582i | 0.559225 | − | 0.829016i | \(-0.311099\pi\) |
−0.521789 | + | 0.853074i | \(0.674735\pi\) | |||||||
\(992\) | −4.83684 | + | 0.695433i | −0.153570 | + | 0.0220800i | ||||
\(993\) | −12.9766 | − | 17.0395i | −0.411799 | − | 0.540732i | ||||
\(994\) | −3.34562 | + | 11.3941i | −0.106117 | + | 0.361400i | ||||
\(995\) | 0.229613 | + | 0.104861i | 0.00727921 | + | 0.00332430i | ||||
\(996\) | 3.95659 | − | 7.39042i | 0.125369 | − | 0.234175i | ||||
\(997\) | 4.86183 | − | 33.8148i | 0.153976 | − | 1.07092i | −0.755494 | − | 0.655155i | \(-0.772603\pi\) |
0.909470 | − | 0.415769i | \(-0.136488\pi\) | |||||||
\(998\) | −3.67469 | − | 12.5149i | −0.116320 | − | 0.396151i | ||||
\(999\) | −4.64357 | + | 24.2206i | −0.146916 | + | 0.766305i |
(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 | 966.2.r.a.113.5 | ✓ | 240 | |
3.2 | odd | 2 | 966.2.r.b.113.19 | yes | 240 | ||
23.11 | odd | 22 | 966.2.r.b.701.19 | yes | 240 | ||
69.11 | even | 22 | inner | 966.2.r.a.701.5 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.r.a.113.5 | ✓ | 240 | 1.1 | even | 1 | trivial | |
966.2.r.a.701.5 | yes | 240 | 69.11 | even | 22 | inner | |
966.2.r.b.113.19 | yes | 240 | 3.2 | odd | 2 | ||
966.2.r.b.701.19 | yes | 240 | 23.11 | odd | 22 |