Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,2,Mod(13,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 9, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.t (of order \(18\), degree \(6\), 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: | \(1.72476868366\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 205.27 | ||
Character | \(\chi\) | \(=\) | 216.205 |
Dual form | 216.2.t.a.157.27 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{2}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.12116 | − | 0.861977i | 0.792779 | − | 0.609510i | ||||
\(3\) | 0.684682 | − | 1.59098i | 0.395301 | − | 0.918551i | ||||
\(4\) | 0.513991 | − | 1.93283i | 0.256996 | − | 0.966413i | ||||
\(5\) | −1.15428 | + | 3.17134i | −0.516208 | + | 1.41827i | 0.358460 | + | 0.933545i | \(0.383302\pi\) |
−0.874667 | + | 0.484723i | \(0.838920\pi\) | |||||||
\(6\) | −0.603749 | − | 2.37392i | −0.246480 | − | 0.969148i | ||||
\(7\) | 0.593321 | − | 3.36489i | 0.224254 | − | 1.27181i | −0.639851 | − | 0.768499i | \(-0.721004\pi\) |
0.864106 | − | 0.503311i | \(-0.167885\pi\) | |||||||
\(8\) | −1.08978 | − | 2.61005i | −0.385297 | − | 0.922793i | ||||
\(9\) | −2.06242 | − | 2.17863i | −0.687474 | − | 0.726209i | ||||
\(10\) | 1.43950 | + | 4.55054i | 0.455210 | + | 1.43901i | ||||
\(11\) | −0.197048 | − | 0.541384i | −0.0594121 | − | 0.163233i | 0.906435 | − | 0.422344i | \(-0.138793\pi\) |
−0.965848 | + | 0.259111i | \(0.916570\pi\) | |||||||
\(12\) | −2.72316 | − | 2.14112i | −0.786109 | − | 0.618088i | ||||
\(13\) | 4.30199 | + | 5.12691i | 1.19316 | + | 1.42195i | 0.881779 | + | 0.471664i | \(0.156346\pi\) |
0.311379 | + | 0.950286i | \(0.399209\pi\) | |||||||
\(14\) | −2.23525 | − | 4.28400i | −0.597396 | − | 1.14495i | ||||
\(15\) | 4.25523 | + | 4.00779i | 1.09870 | + | 1.03481i | ||||
\(16\) | −3.47163 | − | 1.98691i | −0.867906 | − | 0.496728i | ||||
\(17\) | 1.15893 | + | 2.00733i | 0.281082 | + | 0.486849i | 0.971652 | − | 0.236417i | \(-0.0759732\pi\) |
−0.690569 | + | 0.723266i | \(0.742640\pi\) | |||||||
\(18\) | −4.19023 | − | 0.664827i | −0.987646 | − | 0.156701i | ||||
\(19\) | −0.353289 | − | 0.203971i | −0.0810500 | − | 0.0467943i | 0.458927 | − | 0.888474i | \(-0.348234\pi\) |
−0.539977 | + | 0.841680i | \(0.681567\pi\) | |||||||
\(20\) | 5.53637 | + | 3.86106i | 1.23797 | + | 0.863358i | ||||
\(21\) | −4.94723 | − | 3.24784i | −1.07957 | − | 0.708737i | ||||
\(22\) | −0.687582 | − | 0.437127i | −0.146593 | − | 0.0931957i | ||||
\(23\) | 1.15186 | + | 6.53250i | 0.240178 | + | 1.36212i | 0.831429 | + | 0.555631i | \(0.187523\pi\) |
−0.591250 | + | 0.806488i | \(0.701365\pi\) | |||||||
\(24\) | −4.89869 | − | 0.0532318i | −0.999941 | − | 0.0108659i | ||||
\(25\) | −4.89486 | − | 4.10727i | −0.978971 | − | 0.821454i | ||||
\(26\) | 9.24249 | + | 2.03986i | 1.81260 | + | 0.400050i | ||||
\(27\) | −4.87825 | + | 1.78960i | −0.938820 | + | 0.344408i | ||||
\(28\) | −6.19878 | − | 2.87631i | −1.17146 | − | 0.543572i | ||||
\(29\) | −2.24644 | + | 2.67721i | −0.417154 | + | 0.497145i | −0.933171 | − | 0.359434i | \(-0.882970\pi\) |
0.516016 | + | 0.856579i | \(0.327414\pi\) | |||||||
\(30\) | 8.22541 | + | 0.825457i | 1.50175 | + | 0.150707i | ||||
\(31\) | −0.382945 | − | 2.17179i | −0.0687790 | − | 0.390065i | −0.999692 | − | 0.0248236i | \(-0.992098\pi\) |
0.930913 | − | 0.365241i | \(-0.119014\pi\) | |||||||
\(32\) | −5.60491 | + | 0.764819i | −0.990818 | + | 0.135202i | ||||
\(33\) | −0.996245 | − | 0.0571774i | −0.173424 | − | 0.00995332i | ||||
\(34\) | 3.02962 | + | 1.25156i | 0.519575 | + | 0.214641i | ||||
\(35\) | 9.98637 | + | 5.76564i | 1.68801 | + | 0.974570i | ||||
\(36\) | −5.27097 | + | 2.86650i | −0.878496 | + | 0.477750i | ||||
\(37\) | −1.05249 | + | 0.607656i | −0.173028 | + | 0.0998980i | −0.584013 | − | 0.811744i | \(-0.698518\pi\) |
0.410985 | + | 0.911642i | \(0.365185\pi\) | |||||||
\(38\) | −0.571912 | + | 0.0758426i | −0.0927763 | + | 0.0123033i | ||||
\(39\) | 11.1023 | − | 3.33407i | 1.77779 | − | 0.533878i | ||||
\(40\) | 9.53529 | − | 0.443366i | 1.50766 | − | 0.0701023i | ||||
\(41\) | 5.09057 | − | 4.27150i | 0.795014 | − | 0.667096i | −0.151967 | − | 0.988386i | \(-0.548561\pi\) |
0.946981 | + | 0.321290i | \(0.104116\pi\) | |||||||
\(42\) | −8.34619 | + | 0.623055i | −1.28785 | + | 0.0961395i | ||||
\(43\) | 0.442145 | + | 1.21478i | 0.0674265 | + | 0.185253i | 0.968830 | − | 0.247728i | \(-0.0796840\pi\) |
−0.901403 | + | 0.432981i | \(0.857462\pi\) | |||||||
\(44\) | −1.14768 | + | 0.102592i | −0.173020 | + | 0.0154663i | ||||
\(45\) | 9.28978 | − | 4.02591i | 1.38484 | − | 0.600148i | ||||
\(46\) | 6.92227 | + | 6.33109i | 1.02063 | + | 0.933468i | ||||
\(47\) | −0.547022 | + | 3.10232i | −0.0797914 | + | 0.452520i | 0.918568 | + | 0.395263i | \(0.129346\pi\) |
−0.998359 | + | 0.0572567i | \(0.981765\pi\) | |||||||
\(48\) | −5.53809 | + | 4.16288i | −0.799355 | + | 0.600860i | ||||
\(49\) | −4.39261 | − | 1.59878i | −0.627516 | − | 0.228397i | ||||
\(50\) | −9.02828 | − | 0.385648i | −1.27679 | − | 0.0545389i | ||||
\(51\) | 3.98712 | − | 0.469453i | 0.558308 | − | 0.0657366i | ||||
\(52\) | 12.1206 | − | 5.67980i | 1.68083 | − | 0.787647i | ||||
\(53\) | − | 9.35460i | − | 1.28495i | −0.766305 | − | 0.642477i | \(-0.777907\pi\) | ||
0.766305 | − | 0.642477i | \(-0.222093\pi\) | |||||||
\(54\) | −3.92670 | + | 6.21136i | −0.534356 | + | 0.845260i | ||||
\(55\) | 1.94436 | 0.262178 | ||||||||
\(56\) | −9.42913 | + | 2.11841i | −1.26002 | + | 0.283084i | ||||
\(57\) | −0.566405 | + | 0.422419i | −0.0750221 | + | 0.0559508i | ||||
\(58\) | −0.210928 | + | 4.93796i | −0.0276962 | + | 0.648385i | ||||
\(59\) | −3.00302 | + | 8.25072i | −0.390959 | + | 1.07415i | 0.575605 | + | 0.817728i | \(0.304767\pi\) |
−0.966564 | + | 0.256424i | \(0.917456\pi\) | |||||||
\(60\) | 9.93351 | − | 6.16464i | 1.28241 | − | 0.795852i | ||||
\(61\) | −4.67459 | − | 0.824257i | −0.598520 | − | 0.105535i | −0.133824 | − | 0.991005i | \(-0.542726\pi\) |
−0.464697 | + | 0.885470i | \(0.653837\pi\) | |||||||
\(62\) | −2.30137 | − | 2.10483i | −0.292275 | − | 0.267314i | ||||
\(63\) | −8.55452 | + | 5.64720i | −1.07777 | + | 0.711480i | ||||
\(64\) | −5.62474 | + | 5.68879i | −0.703092 | + | 0.711099i | ||||
\(65\) | −21.2249 | + | 7.72523i | −2.63262 | + | 0.958196i | ||||
\(66\) | −1.16623 | + | 0.794635i | −0.143553 | + | 0.0978129i | ||||
\(67\) | −9.67062 | − | 11.5250i | −1.18145 | − | 1.40800i | −0.892731 | − | 0.450589i | \(-0.851214\pi\) |
−0.288723 | − | 0.957413i | \(-0.593231\pi\) | |||||||
\(68\) | 4.47550 | − | 1.20826i | 0.542734 | − | 0.146523i | ||||
\(69\) | 11.1817 | + | 2.64011i | 1.34612 | + | 0.317831i | ||||
\(70\) | 16.1662 | − | 2.14383i | 1.93222 | − | 0.256237i | ||||
\(71\) | −3.92323 | − | 6.79524i | −0.465602 | − | 0.806446i | 0.533627 | − | 0.845720i | \(-0.320829\pi\) |
−0.999228 | + | 0.0392740i | \(0.987495\pi\) | |||||||
\(72\) | −3.43874 | + | 7.75726i | −0.405259 | + | 0.914202i | ||||
\(73\) | 0.641809 | − | 1.11165i | 0.0751180 | − | 0.130108i | −0.826020 | − | 0.563641i | \(-0.809400\pi\) |
0.901138 | + | 0.433533i | \(0.142733\pi\) | |||||||
\(74\) | −0.656224 | + | 1.58850i | −0.0762844 | + | 0.184660i | ||||
\(75\) | −9.88600 | + | 4.97543i | −1.14154 | + | 0.574513i | ||||
\(76\) | −0.575829 | + | 0.578006i | −0.0660521 | + | 0.0663019i | ||||
\(77\) | −1.93861 | + | 0.341829i | −0.220925 | + | 0.0389551i | ||||
\(78\) | 9.57354 | − | 13.3079i | 1.08399 | − | 1.50683i | ||||
\(79\) | 3.84081 | + | 3.22282i | 0.432125 | + | 0.362596i | 0.832753 | − | 0.553645i | \(-0.186764\pi\) |
−0.400628 | + | 0.916241i | \(0.631208\pi\) | |||||||
\(80\) | 10.3084 | − | 8.71628i | 1.15251 | − | 0.974510i | ||||
\(81\) | −0.492839 | + | 8.98650i | −0.0547599 | + | 0.998500i | ||||
\(82\) | 2.02541 | − | 9.17698i | 0.223669 | − | 1.01343i | ||||
\(83\) | 6.67152 | − | 7.95081i | 0.732295 | − | 0.872715i | −0.263468 | − | 0.964668i | \(-0.584866\pi\) |
0.995763 | + | 0.0919529i | \(0.0293109\pi\) | |||||||
\(84\) | −8.82034 | + | 7.89277i | −0.962378 | + | 0.861172i | ||||
\(85\) | −7.70366 | + | 1.35836i | −0.835580 | + | 0.147335i | ||||
\(86\) | 1.54283 | + | 0.980846i | 0.166368 | + | 0.105767i | ||||
\(87\) | 2.72128 | + | 5.40708i | 0.291752 | + | 0.579700i | ||||
\(88\) | −1.19830 | + | 1.10430i | −0.127739 | + | 0.117718i | ||||
\(89\) | −2.86501 | + | 4.96234i | −0.303690 | + | 0.526007i | −0.976969 | − | 0.213382i | \(-0.931552\pi\) |
0.673278 | + | 0.739389i | \(0.264886\pi\) | |||||||
\(90\) | 6.94507 | − | 12.5213i | 0.732075 | − | 1.31986i | ||||
\(91\) | 19.8040 | − | 11.4338i | 2.07602 | − | 1.19859i | ||||
\(92\) | 13.2182 | + | 1.13131i | 1.37809 | + | 0.117947i | ||||
\(93\) | −3.71746 | − | 0.877728i | −0.385483 | − | 0.0910161i | ||||
\(94\) | 2.06083 | + | 3.94971i | 0.212558 | + | 0.407381i | ||||
\(95\) | 1.05466 | − | 0.884962i | 0.108205 | − | 0.0907952i | ||||
\(96\) | −2.62077 | + | 9.44095i | −0.267481 | + | 0.963563i | ||||
\(97\) | 10.5548 | − | 3.84165i | 1.07168 | − | 0.390061i | 0.254877 | − | 0.966974i | \(-0.417965\pi\) |
0.816806 | + | 0.576913i | \(0.195743\pi\) | |||||||
\(98\) | −6.30293 | + | 1.99385i | −0.636692 | + | 0.201409i | ||||
\(99\) | −0.773079 | + | 1.54586i | −0.0776974 | + | 0.155364i | ||||
\(100\) | −10.4546 | + | 7.34980i | −1.04546 | + | 0.734980i | ||||
\(101\) | −12.2411 | − | 2.15844i | −1.21804 | − | 0.214773i | −0.472557 | − | 0.881300i | \(-0.656669\pi\) |
−0.745481 | + | 0.666527i | \(0.767780\pi\) | |||||||
\(102\) | 4.06553 | − | 3.96313i | 0.402548 | − | 0.392409i | ||||
\(103\) | −14.8537 | − | 5.40632i | −1.46358 | − | 0.532701i | −0.517233 | − | 0.855844i | \(-0.673038\pi\) |
−0.946350 | + | 0.323144i | \(0.895260\pi\) | |||||||
\(104\) | 8.69326 | − | 16.8156i | 0.852444 | − | 1.64891i | ||||
\(105\) | 16.0105 | − | 11.9405i | 1.56246 | − | 1.16527i | ||||
\(106\) | −8.06345 | − | 10.4880i | −0.783192 | − | 1.01868i | ||||
\(107\) | − | 2.44491i | − | 0.236359i | −0.992992 | − | 0.118179i | \(-0.962294\pi\) | ||
0.992992 | − | 0.118179i | \(-0.0377058\pi\) | |||||||
\(108\) | 0.951602 | + | 10.3486i | 0.0915679 | + | 0.995799i | ||||
\(109\) | 16.2522i | 1.55668i | 0.627843 | + | 0.778340i | \(0.283938\pi\) | ||||
−0.627843 | + | 0.778340i | \(0.716062\pi\) | |||||||
\(110\) | 2.17994 | − | 1.67600i | 0.207849 | − | 0.159800i | ||||
\(111\) | 0.246146 | + | 2.09054i | 0.0233631 | + | 0.198425i | ||||
\(112\) | −8.74553 | + | 10.5028i | −0.826375 | + | 0.992418i | ||||
\(113\) | −11.4376 | − | 4.16294i | −1.07596 | − | 0.391617i | −0.257556 | − | 0.966263i | \(-0.582917\pi\) |
−0.818402 | + | 0.574646i | \(0.805140\pi\) | |||||||
\(114\) | −0.270914 | + | 0.961827i | −0.0253734 | + | 0.0900833i | ||||
\(115\) | −22.0464 | − | 3.88737i | −2.05583 | − | 0.362499i | ||||
\(116\) | 4.01992 | + | 5.71804i | 0.373240 | + | 0.530907i | ||||
\(117\) | 2.29712 | − | 19.9463i | 0.212369 | − | 1.84403i | ||||
\(118\) | 3.74507 | + | 11.8389i | 0.344762 | + | 1.08986i | ||||
\(119\) | 7.44207 | − | 2.70869i | 0.682213 | − | 0.248305i | ||||
\(120\) | 5.82325 | − | 15.4740i | 0.531588 | − | 1.41258i | ||||
\(121\) | 8.17222 | − | 6.85731i | 0.742929 | − | 0.623392i | ||||
\(122\) | −5.95145 | + | 3.10527i | −0.538819 | + | 0.281138i | ||||
\(123\) | −3.31044 | − | 11.0236i | −0.298492 | − | 0.993965i | ||||
\(124\) | −4.39452 | − | 0.376115i | −0.394639 | − | 0.0337762i | ||||
\(125\) | 4.06195 | − | 2.34517i | 0.363312 | − | 0.209758i | ||||
\(126\) | −4.72322 | + | 13.7052i | −0.420778 | + | 1.22096i | ||||
\(127\) | −4.79341 | + | 8.30243i | −0.425346 | + | 0.736722i | −0.996453 | − | 0.0841546i | \(-0.973181\pi\) |
0.571106 | + | 0.820876i | \(0.306514\pi\) | |||||||
\(128\) | −1.40262 | + | 11.2264i | −0.123975 | + | 0.992285i | ||||
\(129\) | 2.23542 | + | 0.128297i | 0.196818 | + | 0.0112960i | ||||
\(130\) | −17.1375 | + | 26.9566i | −1.50306 | + | 2.36425i | ||||
\(131\) | 0.406480 | − | 0.0716734i | 0.0355143 | − | 0.00626213i | −0.155863 | − | 0.987779i | \(-0.549816\pi\) |
0.191377 | + | 0.981517i | \(0.438705\pi\) | |||||||
\(132\) | −0.622576 | + | 1.89618i | −0.0541882 | + | 0.165041i | ||||
\(133\) | −0.895956 | + | 1.06776i | −0.0776892 | + | 0.0925864i | ||||
\(134\) | −20.7766 | − | 4.58549i | −1.79482 | − | 0.396126i | ||||
\(135\) | −0.0445910 | − | 17.5363i | −0.00383778 | − | 1.50928i | ||||
\(136\) | 3.97625 | − | 5.21243i | 0.340960 | − | 0.446962i | ||||
\(137\) | 12.0727 | + | 10.1302i | 1.03144 | + | 0.865480i | 0.991021 | − | 0.133703i | \(-0.0426867\pi\) |
0.0404177 | + | 0.999183i | \(0.487131\pi\) | |||||||
\(138\) | 14.8122 | − | 6.67840i | 1.26090 | − | 0.568503i | ||||
\(139\) | 2.17442 | − | 0.383409i | 0.184432 | − | 0.0325204i | −0.0806691 | − | 0.996741i | \(-0.525706\pi\) |
0.265101 | + | 0.964221i | \(0.414595\pi\) | |||||||
\(140\) | 16.2769 | − | 16.3384i | 1.37565 | − | 1.38085i | ||||
\(141\) | 4.56118 | + | 2.99440i | 0.384121 | + | 0.252174i | ||||
\(142\) | −10.2559 | − | 4.23680i | −0.860656 | − | 0.355544i | ||||
\(143\) | 1.92793 | − | 3.33928i | 0.161222 | − | 0.279244i | ||||
\(144\) | 2.83121 | + | 11.6612i | 0.235934 | + | 0.971769i | ||||
\(145\) | −5.89733 | − | 10.2145i | −0.489747 | − | 0.848267i | ||||
\(146\) | −0.238644 | − | 1.79955i | −0.0197503 | − | 0.148932i | ||||
\(147\) | −5.55117 | + | 5.89389i | −0.457853 | + | 0.486120i | ||||
\(148\) | 0.633521 | + | 2.34661i | 0.0520751 | + | 0.192890i | ||||
\(149\) | −4.40044 | − | 5.24424i | −0.360498 | − | 0.429625i | 0.555060 | − | 0.831810i | \(-0.312695\pi\) |
−0.915558 | + | 0.402186i | \(0.868251\pi\) | |||||||
\(150\) | −6.79506 | + | 14.0997i | −0.554814 | + | 1.15124i | ||||
\(151\) | 11.0866 | − | 4.03519i | 0.902213 | − | 0.328379i | 0.151074 | − | 0.988522i | \(-0.451727\pi\) |
0.751139 | + | 0.660144i | \(0.229505\pi\) | |||||||
\(152\) | −0.147367 | + | 1.14439i | −0.0119531 | + | 0.0928221i | ||||
\(153\) | 1.98302 | − | 6.66484i | 0.160318 | − | 0.538821i | ||||
\(154\) | −1.87884 | + | 2.05428i | −0.151401 | + | 0.165539i | ||||
\(155\) | 7.32952 | + | 1.29239i | 0.588721 | + | 0.103807i | ||||
\(156\) | −0.737680 | − | 23.1725i | −0.0590617 | − | 1.85528i | ||||
\(157\) | 4.12184 | − | 11.3247i | 0.328959 | − | 0.903808i | −0.659417 | − | 0.751778i | \(-0.729197\pi\) |
0.988376 | − | 0.152030i | \(-0.0485810\pi\) | |||||||
\(158\) | 7.08416 | + | 0.302604i | 0.563585 | + | 0.0240739i | ||||
\(159\) | −14.8830 | − | 6.40493i | −1.18030 | − | 0.507944i | ||||
\(160\) | 4.04411 | − | 18.6579i | 0.319715 | − | 1.47504i | ||||
\(161\) | 22.6646 | 1.78622 | ||||||||
\(162\) | 7.19360 | + | 10.5001i | 0.565183 | + | 0.824966i | ||||
\(163\) | 13.3972i | 1.04935i | 0.851303 | + | 0.524675i | \(0.175813\pi\) | ||||
−0.851303 | + | 0.524675i | \(0.824187\pi\) | |||||||
\(164\) | −5.63955 | − | 12.0347i | −0.440375 | − | 0.939752i | ||||
\(165\) | 1.33127 | − | 3.09344i | 0.103639 | − | 0.240824i | ||||
\(166\) | 0.626417 | − | 14.6648i | 0.0486194 | − | 1.13821i | ||||
\(167\) | −6.36473 | − | 2.31657i | −0.492517 | − | 0.179262i | 0.0838081 | − | 0.996482i | \(-0.473292\pi\) |
−0.576325 | + | 0.817220i | \(0.695514\pi\) | |||||||
\(168\) | −3.08562 | + | 16.4520i | −0.238060 | + | 1.26930i | ||||
\(169\) | −5.52068 | + | 31.3093i | −0.424668 | + | 2.40841i | ||||
\(170\) | −7.46615 | + | 8.16332i | −0.572627 | + | 0.626098i | ||||
\(171\) | 0.284253 | + | 1.19036i | 0.0217373 | + | 0.0910291i | ||||
\(172\) | 2.57522 | − | 0.230201i | 0.196359 | − | 0.0175526i | ||||
\(173\) | 0.576454 | + | 1.58380i | 0.0438270 | + | 0.120414i | 0.959675 | − | 0.281111i | \(-0.0907028\pi\) |
−0.915848 | + | 0.401524i | \(0.868481\pi\) | |||||||
\(174\) | 7.71176 | + | 3.71651i | 0.584627 | + | 0.281748i | ||||
\(175\) | −16.7247 | + | 14.0337i | −1.26427 | + | 1.06085i | ||||
\(176\) | −0.391606 | + | 2.27100i | −0.0295184 | + | 0.171183i | ||||
\(177\) | 11.0706 | + | 10.4269i | 0.832117 | + | 0.783730i | ||||
\(178\) | 1.06530 | + | 8.03314i | 0.0798473 | + | 0.602110i | ||||
\(179\) | 10.3190 | − | 5.95768i | 0.771279 | − | 0.445298i | −0.0620517 | − | 0.998073i | \(-0.519764\pi\) |
0.833331 | + | 0.552775i | \(0.186431\pi\) | |||||||
\(180\) | −3.00652 | − | 20.0248i | −0.224092 | − | 1.49256i | ||||
\(181\) | 14.3027 | + | 8.25769i | 1.06311 | + | 0.613789i | 0.926292 | − | 0.376806i | \(-0.122978\pi\) |
0.136822 | + | 0.990596i | \(0.456311\pi\) | |||||||
\(182\) | 12.3477 | − | 29.8897i | 0.915271 | − | 2.21557i | ||||
\(183\) | −4.51198 | + | 6.87282i | −0.333536 | + | 0.508054i | ||||
\(184\) | 15.7949 | − | 10.1254i | 1.16441 | − | 0.746456i | ||||
\(185\) | −0.712223 | − | 4.03922i | −0.0523636 | − | 0.296969i | ||||
\(186\) | −4.92445 | + | 2.22030i | −0.361078 | + | 0.162800i | ||||
\(187\) | 0.858372 | − | 1.02297i | 0.0627703 | − | 0.0748068i | ||||
\(188\) | 5.71507 | + | 2.65186i | 0.416815 | + | 0.193407i | ||||
\(189\) | 3.12744 | + | 17.4766i | 0.227487 | + | 1.27123i | ||||
\(190\) | 0.419620 | − | 1.90127i | 0.0304424 | − | 0.137933i | ||||
\(191\) | −10.1267 | − | 8.49734i | −0.732745 | − | 0.614846i | 0.198134 | − | 0.980175i | \(-0.436512\pi\) |
−0.930878 | + | 0.365329i | \(0.880956\pi\) | |||||||
\(192\) | 5.19958 | + | 12.8438i | 0.375247 | + | 0.926925i | ||||
\(193\) | −0.0307325 | − | 0.174293i | −0.00221218 | − | 0.0125459i | 0.983682 | − | 0.179918i | \(-0.0575831\pi\) |
−0.985894 | + | 0.167372i | \(0.946472\pi\) | |||||||
\(194\) | 8.52224 | − | 13.4051i | 0.611861 | − | 0.962433i | ||||
\(195\) | −2.24163 | + | 39.0576i | −0.160527 | + | 2.79698i | ||||
\(196\) | −5.34793 | + | 7.66839i | −0.381995 | + | 0.547742i | ||||
\(197\) | −0.841221 | − | 0.485679i | −0.0599345 | − | 0.0346032i | 0.469733 | − | 0.882808i | \(-0.344350\pi\) |
−0.529668 | + | 0.848205i | \(0.677683\pi\) | |||||||
\(198\) | 0.465748 | + | 2.39953i | 0.0330993 | + | 0.170527i | ||||
\(199\) | 2.04926 | + | 3.54942i | 0.145268 | + | 0.251612i | 0.929473 | − | 0.368890i | \(-0.120262\pi\) |
−0.784205 | + | 0.620502i | \(0.786929\pi\) | |||||||
\(200\) | −5.38585 | + | 17.2519i | −0.380837 | + | 1.21989i | ||||
\(201\) | −24.9573 | + | 7.49478i | −1.76035 | + | 0.528641i | ||||
\(202\) | −15.5848 | + | 8.13161i | −1.09654 | + | 0.572138i | ||||
\(203\) | 7.67565 | + | 9.14748i | 0.538725 | + | 0.642027i | ||||
\(204\) | 1.14197 | − | 7.94770i | 0.0799542 | − | 0.556450i | ||||
\(205\) | 7.67047 | + | 21.0745i | 0.535729 | + | 1.47190i | ||||
\(206\) | −21.3135 | + | 6.74225i | −1.48498 | + | 0.469755i | ||||
\(207\) | 11.8563 | − | 15.9822i | 0.824068 | − | 1.11084i | ||||
\(208\) | −4.74818 | − | 26.3464i | −0.329227 | − | 1.82679i | ||||
\(209\) | −0.0408121 | + | 0.231457i | −0.00282303 | + | 0.0160102i | ||||
\(210\) | 7.65788 | − | 27.1878i | 0.528444 | − | 1.87614i | ||||
\(211\) | 1.28341 | − | 3.52613i | 0.0883534 | − | 0.242749i | −0.887644 | − | 0.460530i | \(-0.847660\pi\) |
0.975998 | + | 0.217781i | \(0.0698817\pi\) | |||||||
\(212\) | −18.0808 | − | 4.80819i | −1.24180 | − | 0.330228i | ||||
\(213\) | −13.4972 | + | 1.58920i | −0.924815 | + | 0.108890i | ||||
\(214\) | −2.10746 | − | 2.74114i | −0.144063 | − | 0.187380i | ||||
\(215\) | −4.36285 | −0.297544 | ||||||||
\(216\) | 9.98719 | + | 10.7822i | 0.679542 | + | 0.733636i | ||||
\(217\) | −7.53504 | −0.511512 | ||||||||
\(218\) | 14.0090 | + | 18.2213i | 0.948812 | + | 1.23410i | ||||
\(219\) | −1.32917 | − | 1.78223i | −0.0898169 | − | 0.120432i | ||||
\(220\) | 0.999386 | − | 3.75811i | 0.0673786 | − | 0.253372i | ||||
\(221\) | −5.30569 | + | 14.5773i | −0.356899 | + | 0.980572i | ||||
\(222\) | 2.07797 | + | 2.13166i | 0.139464 | + | 0.143067i | ||||
\(223\) | 0.680991 | − | 3.86209i | 0.0456025 | − | 0.258625i | −0.953480 | − | 0.301457i | \(-0.902527\pi\) |
0.999082 | + | 0.0428323i | \(0.0136381\pi\) | |||||||
\(224\) | −0.751980 | + | 19.3137i | −0.0502437 | + | 1.29045i | ||||
\(225\) | 1.14704 | + | 19.1350i | 0.0764691 | + | 1.27567i | ||||
\(226\) | −16.4117 | + | 5.19162i | −1.09169 | + | 0.345342i | ||||
\(227\) | −4.04735 | − | 11.1200i | −0.268632 | − | 0.738061i | −0.998514 | − | 0.0544879i | \(-0.982647\pi\) |
0.729882 | − | 0.683573i | \(-0.239575\pi\) | |||||||
\(228\) | 0.525335 | + | 1.31188i | 0.0347912 | + | 0.0868815i | ||||
\(229\) | −6.81207 | − | 8.11831i | −0.450154 | − | 0.536473i | 0.492470 | − | 0.870330i | \(-0.336094\pi\) |
−0.942624 | + | 0.333857i | \(0.891650\pi\) | |||||||
\(230\) | −28.0683 | + | 14.6451i | −1.85077 | + | 0.965669i | ||||
\(231\) | −0.783489 | + | 3.31833i | −0.0515498 | + | 0.218330i | ||||
\(232\) | 9.43579 | + | 2.94575i | 0.619490 | + | 0.193398i | ||||
\(233\) | −0.565006 | − | 0.978619i | −0.0370148 | − | 0.0641115i | 0.846925 | − | 0.531713i | \(-0.178452\pi\) |
−0.883939 | + | 0.467602i | \(0.845118\pi\) | |||||||
\(234\) | −14.6178 | − | 24.3430i | −0.955596 | − | 1.59135i | ||||
\(235\) | −9.20711 | − | 5.31572i | −0.600605 | − | 0.346760i | ||||
\(236\) | 14.4037 | + | 10.0451i | 0.937599 | + | 0.653881i | ||||
\(237\) | 7.75717 | − | 3.90404i | 0.503883 | − | 0.253594i | ||||
\(238\) | 6.00890 | − | 9.45176i | 0.389499 | − | 0.612667i | ||||
\(239\) | 1.00787 | + | 5.71591i | 0.0651936 | + | 0.369731i | 0.999898 | + | 0.0143045i | \(0.00455341\pi\) |
−0.934704 | + | 0.355427i | \(0.884335\pi\) | |||||||
\(240\) | −6.80944 | − | 22.3683i | −0.439547 | − | 1.44387i | ||||
\(241\) | 22.5974 | + | 18.9615i | 1.45563 | + | 1.22142i | 0.928342 | + | 0.371728i | \(0.121235\pi\) |
0.527286 | + | 0.849688i | \(0.323210\pi\) | |||||||
\(242\) | 3.25151 | − | 14.7324i | 0.209015 | − | 0.947034i | ||||
\(243\) | 13.9599 | + | 6.93699i | 0.895527 | + | 0.445008i | ||||
\(244\) | −3.99585 | + | 8.61151i | −0.255808 | + | 0.551295i | ||||
\(245\) | 10.1406 | − | 12.0851i | 0.647857 | − | 0.772086i | ||||
\(246\) | −13.2136 | − | 9.50569i | −0.842470 | − | 0.606061i | ||||
\(247\) | −0.474102 | − | 2.68876i | −0.0301664 | − | 0.171082i | ||||
\(248\) | −5.25115 | + | 3.36629i | −0.333449 | + | 0.213760i | ||||
\(249\) | −8.08169 | − | 16.0580i | −0.512157 | − | 1.01764i | ||||
\(250\) | 2.53261 | − | 6.13061i | 0.160176 | − | 0.387734i | ||||
\(251\) | −5.20730 | − | 3.00644i | −0.328682 | − | 0.189765i | 0.326574 | − | 0.945172i | \(-0.394106\pi\) |
−0.655256 | + | 0.755407i | \(0.727439\pi\) | |||||||
\(252\) | 6.51809 | + | 19.4370i | 0.410601 | + | 1.22442i | ||||
\(253\) | 3.30962 | − | 1.91081i | 0.208074 | − | 0.120132i | ||||
\(254\) | 1.78233 | + | 13.4401i | 0.111833 | + | 0.843310i | ||||
\(255\) | −3.11343 | + | 13.1864i | −0.194971 | + | 0.825765i | ||||
\(256\) | 8.10437 | + | 13.7956i | 0.506523 | + | 0.862226i | ||||
\(257\) | 19.8936 | − | 16.6927i | 1.24093 | − | 1.04126i | 0.243480 | − | 0.969906i | \(-0.421711\pi\) |
0.997451 | − | 0.0713589i | \(-0.0227336\pi\) | |||||||
\(258\) | 2.61685 | − | 1.78304i | 0.162918 | − | 0.111007i | ||||
\(259\) | 1.42023 | + | 3.90205i | 0.0882489 | + | 0.242462i | ||||
\(260\) | 4.02210 | + | 44.9947i | 0.249440 | + | 2.79045i | ||||
\(261\) | 10.4658 | − | 0.627364i | 0.647814 | − | 0.0388329i | ||||
\(262\) | 0.393948 | − | 0.430734i | 0.0243382 | − | 0.0266108i | ||||
\(263\) | −2.41565 | + | 13.6998i | −0.148956 | + | 0.844769i | 0.815150 | + | 0.579250i | \(0.196654\pi\) |
−0.964106 | + | 0.265519i | \(0.914457\pi\) | |||||||
\(264\) | 0.936457 | + | 2.66256i | 0.0576349 | + | 0.163869i | ||||
\(265\) | 29.6667 | + | 10.7978i | 1.82241 | + | 0.663303i | ||||
\(266\) | −0.0841249 | + | 1.96942i | −0.00515803 | + | 0.120753i | ||||
\(267\) | 5.93336 | + | 7.95579i | 0.363115 | + | 0.486887i | ||||
\(268\) | −27.2464 | + | 12.7679i | −1.66434 | + | 0.779921i | ||||
\(269\) | − | 3.89404i | − | 0.237424i | −0.992929 | − | 0.118712i | \(-0.962123\pi\) | ||
0.992929 | − | 0.118712i | \(-0.0378765\pi\) | |||||||
\(270\) | −15.1659 | − | 19.6225i | −0.922966 | − | 1.19419i | ||||
\(271\) | 27.1005 | 1.64624 | 0.823119 | − | 0.567869i | \(-0.192232\pi\) | ||||
0.823119 | + | 0.567869i | \(0.192232\pi\) | |||||||
\(272\) | −0.0349931 | − | 9.27139i | −0.00212177 | − | 0.562161i | ||||
\(273\) | −4.63154 | − | 39.3362i | −0.280314 | − | 2.38073i | ||||
\(274\) | 22.2674 | + | 0.951165i | 1.34522 | + | 0.0574620i | ||||
\(275\) | −1.25909 | + | 3.45933i | −0.0759261 | + | 0.208605i | ||||
\(276\) | 10.8502 | − | 20.2553i | 0.653103 | − | 1.21923i | ||||
\(277\) | −7.05421 | − | 1.24385i | −0.423847 | − | 0.0747356i | −0.0423435 | − | 0.999103i | \(-0.513482\pi\) |
−0.381503 | + | 0.924368i | \(0.624593\pi\) | |||||||
\(278\) | 2.10738 | − | 2.30417i | 0.126392 | − | 0.138195i | ||||
\(279\) | −3.94173 | + | 5.31344i | −0.235985 | + | 0.318107i | ||||
\(280\) | 4.16561 | − | 32.3483i | 0.248943 | − | 1.93318i | ||||
\(281\) | −0.728892 | + | 0.265295i | −0.0434820 | + | 0.0158262i | −0.363670 | − | 0.931528i | \(-0.618476\pi\) |
0.320188 | + | 0.947354i | \(0.396254\pi\) | |||||||
\(282\) | 7.69491 | − | 0.574436i | 0.458225 | − | 0.0342072i | ||||
\(283\) | 0.982704 | + | 1.17114i | 0.0584157 | + | 0.0696171i | 0.794461 | − | 0.607315i | \(-0.207753\pi\) |
−0.736045 | + | 0.676932i | \(0.763309\pi\) | |||||||
\(284\) | −15.1505 | + | 4.09023i | −0.899017 | + | 0.242710i | ||||
\(285\) | −0.685850 | − | 2.28385i | −0.0406263 | − | 0.135284i | ||||
\(286\) | −0.716862 | − | 5.40569i | −0.0423889 | − | 0.319645i | ||||
\(287\) | −11.3528 | − | 19.6636i | −0.670134 | − | 1.16071i | ||||
\(288\) | 13.2259 | + | 10.6336i | 0.779346 | + | 0.626593i | ||||
\(289\) | 5.81375 | − | 10.0697i | 0.341985 | − | 0.592336i | ||||
\(290\) | −15.4165 | − | 6.36868i | −0.905288 | − | 0.373982i | ||||
\(291\) | 1.11473 | − | 19.4228i | 0.0653469 | − | 1.13859i | ||||
\(292\) | −1.81873 | − | 1.81188i | −0.106433 | − | 0.106032i | ||||
\(293\) | −15.6621 | + | 2.76164i | −0.914987 | + | 0.161337i | −0.611267 | − | 0.791424i | \(-0.709340\pi\) |
−0.303720 | + | 0.952761i | \(0.598229\pi\) | |||||||
\(294\) | −1.14334 | + | 11.3930i | −0.0666807 | + | 0.664451i | ||||
\(295\) | −22.6996 | − | 19.0472i | −1.32162 | − | 1.10897i | ||||
\(296\) | 2.73300 | + | 2.08484i | 0.158853 | + | 0.121179i | ||||
\(297\) | 1.93011 | + | 2.28837i | 0.111996 | + | 0.132785i | ||||
\(298\) | −9.45399 | − | 2.08654i | −0.547655 | − | 0.120870i | ||||
\(299\) | −28.5363 | + | 34.0082i | −1.65029 | + | 1.96674i | ||||
\(300\) | 4.53532 | + | 21.6652i | 0.261847 | + | 1.25084i | ||||
\(301\) | 4.34995 | − | 0.767013i | 0.250727 | − | 0.0442099i | ||||
\(302\) | 8.95158 | − | 14.0805i | 0.515105 | − | 0.810240i | ||||
\(303\) | −11.8153 | + | 17.9975i | −0.678772 | + | 1.03393i | ||||
\(304\) | 0.821214 | + | 1.41007i | 0.0470998 | + | 0.0808729i | ||||
\(305\) | 8.00977 | − | 13.8733i | 0.458638 | − | 0.794385i | ||||
\(306\) | −3.52166 | − | 9.18166i | −0.201320 | − | 0.524880i | ||||
\(307\) | 0.370582 | − | 0.213955i | 0.0211502 | − | 0.0122111i | −0.489388 | − | 0.872066i | \(-0.662780\pi\) |
0.510538 | + | 0.859855i | \(0.329446\pi\) | |||||||
\(308\) | −0.335733 | + | 3.92269i | −0.0191302 | + | 0.223516i | ||||
\(309\) | −18.7714 | + | 19.9304i | −1.06787 | + | 1.13380i | ||||
\(310\) | 9.33156 | − | 4.86890i | 0.529997 | − | 0.276535i | ||||
\(311\) | 8.46179 | − | 7.10028i | 0.479824 | − | 0.402620i | −0.370539 | − | 0.928817i | \(-0.620827\pi\) |
0.850363 | + | 0.526197i | \(0.176383\pi\) | |||||||
\(312\) | −20.8012 | − | 25.3442i | −1.17764 | − | 1.43483i | ||||
\(313\) | −26.1193 | + | 9.50664i | −1.47635 | + | 0.537347i | −0.949817 | − | 0.312807i | \(-0.898731\pi\) |
−0.526533 | + | 0.850155i | \(0.676508\pi\) | |||||||
\(314\) | −5.14037 | − | 16.2497i | −0.290088 | − | 0.917023i | ||||
\(315\) | −8.03493 | − | 33.6478i | −0.452717 | − | 1.89584i | ||||
\(316\) | 8.20330 | − | 5.76711i | 0.461472 | − | 0.324425i | ||||
\(317\) | −3.46040 | − | 0.610163i | −0.194356 | − | 0.0342701i | 0.0756229 | − | 0.997136i | \(-0.475905\pi\) |
−0.269979 | + | 0.962866i | \(0.587017\pi\) | |||||||
\(318\) | −22.2071 | + | 5.64784i | −1.24531 | + | 0.316715i | ||||
\(319\) | 1.89205 | + | 0.688651i | 0.105935 | + | 0.0385571i | ||||
\(320\) | −11.5486 | − | 24.4044i | −0.645587 | − | 1.36425i | ||||
\(321\) | −3.88980 | − | 1.67399i | −0.217108 | − | 0.0934329i | ||||
\(322\) | 25.4106 | − | 19.5363i | 1.41607 | − | 1.08872i | ||||
\(323\) | − | 0.945557i | − | 0.0526122i | ||||||
\(324\) | 17.1160 | + | 5.57155i | 0.950889 | + | 0.309531i | ||||
\(325\) | − | 42.7649i | − | 2.37217i | ||||||
\(326\) | 11.5481 | + | 15.0204i | 0.639589 | + | 0.831902i | ||||
\(327\) | 25.8569 | + | 11.1276i | 1.42989 | + | 0.615358i | ||||
\(328\) | −16.6965 | − | 8.63165i | −0.921908 | − | 0.476603i | ||||
\(329\) | 10.1144 | + | 3.68134i | 0.557625 | + | 0.202959i | ||||
\(330\) | −1.17391 | − | 4.61576i | −0.0646215 | − | 0.254089i | ||||
\(331\) | 17.1533 | + | 3.02459i | 0.942832 | + | 0.166247i | 0.623876 | − | 0.781523i | \(-0.285557\pi\) |
0.318956 | + | 0.947770i | \(0.396668\pi\) | |||||||
\(332\) | −11.9384 | − | 16.9815i | −0.655206 | − | 0.931983i | ||||
\(333\) | 3.49454 | + | 1.03974i | 0.191499 | + | 0.0569776i | ||||
\(334\) | −9.13270 | + | 2.88901i | −0.499719 | + | 0.158079i | ||||
\(335\) | 47.7123 | − | 17.3659i | 2.60680 | − | 0.948798i | ||||
\(336\) | 10.7218 | + | 21.1050i | 0.584920 | + | 1.15137i | ||||
\(337\) | −2.18023 | + | 1.82943i | −0.118765 | + | 0.0996554i | −0.700236 | − | 0.713912i | \(-0.746922\pi\) |
0.581471 | + | 0.813567i | \(0.302477\pi\) | |||||||
\(338\) | 20.7984 | + | 39.8614i | 1.13128 | + | 2.16818i | ||||
\(339\) | −14.4543 | + | 15.3467i | −0.785048 | + | 0.833516i | ||||
\(340\) | −1.33414 | + | 15.5880i | −0.0723538 | + | 0.845379i | ||||
\(341\) | −1.10031 | + | 0.635266i | −0.0595853 | + | 0.0344016i | ||||
\(342\) | 1.34476 | + | 1.08956i | 0.0727160 | + | 0.0589168i | ||||
\(343\) | 3.97285 | − | 6.88117i | 0.214514 | − | 0.371548i | ||||
\(344\) | 2.68880 | − | 2.47787i | 0.144971 | − | 0.133598i | ||||
\(345\) | −21.2795 | + | 32.4137i | −1.14565 | + | 1.74509i | ||||
\(346\) | 2.01149 | + | 1.27879i | 0.108138 | + | 0.0687484i | ||||
\(347\) | 25.7859 | − | 4.54675i | 1.38426 | − | 0.244082i | 0.568599 | − | 0.822615i | \(-0.307486\pi\) |
0.815659 | + | 0.578533i | \(0.196374\pi\) | |||||||
\(348\) | 11.8496 | − | 2.48056i | 0.635208 | − | 0.132972i | ||||
\(349\) | −3.27963 | + | 3.90851i | −0.175555 | + | 0.209218i | −0.846646 | − | 0.532157i | \(-0.821382\pi\) |
0.671091 | + | 0.741375i | \(0.265826\pi\) | |||||||
\(350\) | −6.65433 | + | 30.1504i | −0.355689 | + | 1.61160i | ||||
\(351\) | −30.1613 | − | 17.3115i | −1.60989 | − | 0.924021i | ||||
\(352\) | 1.51850 | + | 2.88371i | 0.0809361 | + | 0.153702i | ||||
\(353\) | −11.4022 | − | 9.56754i | −0.606875 | − | 0.509229i | 0.286772 | − | 0.957999i | \(-0.407418\pi\) |
−0.893647 | + | 0.448770i | \(0.851862\pi\) | |||||||
\(354\) | 21.3996 | + | 2.14755i | 1.13738 | + | 0.114141i | ||||
\(355\) | 26.0785 | − | 4.59835i | 1.38410 | − | 0.244055i | ||||
\(356\) | 8.11875 | + | 8.08816i | 0.430293 | + | 0.428672i | ||||
\(357\) | 0.785982 | − | 13.6948i | 0.0415986 | − | 0.724803i | ||||
\(358\) | 6.43386 | − | 15.5743i | 0.340040 | − | 0.823125i | ||||
\(359\) | −7.74329 | + | 13.4118i | −0.408675 | + | 0.707846i | −0.994742 | − | 0.102417i | \(-0.967342\pi\) |
0.586066 | + | 0.810263i | \(0.300676\pi\) | |||||||
\(360\) | −20.6317 | − | 19.8594i | −1.08739 | − | 1.04668i | ||||
\(361\) | −9.41679 | − | 16.3104i | −0.495621 | − | 0.858440i | ||||
\(362\) | 23.1536 | − | 3.07045i | 1.21693 | − | 0.161380i | ||||
\(363\) | −5.31445 | − | 17.6969i | −0.278936 | − | 0.928846i | ||||
\(364\) | −11.9205 | − | 44.1545i | −0.624805 | − | 2.31432i | ||||
\(365\) | 2.78459 | + | 3.31854i | 0.145752 | + | 0.173700i | ||||
\(366\) | 0.865564 | + | 11.5947i | 0.0452438 | + | 0.606067i | ||||
\(367\) | 24.0744 | − | 8.76237i | 1.25667 | − | 0.457392i | 0.374023 | − | 0.927419i | \(-0.377978\pi\) |
0.882652 | + | 0.470027i | \(0.155756\pi\) | |||||||
\(368\) | 8.98068 | − | 24.9670i | 0.468150 | − | 1.30150i | ||||
\(369\) | −19.8049 | − | 2.28084i | −1.03100 | − | 0.118736i | ||||
\(370\) | −4.28022 | − | 3.91468i | −0.222518 | − | 0.203515i | ||||
\(371\) | −31.4772 | − | 5.55028i | −1.63422 | − | 0.288156i | ||||
\(372\) | −3.60724 | + | 6.73406i | −0.187027 | + | 0.349145i | ||||
\(373\) | 4.86012 | − | 13.3531i | 0.251648 | − | 0.691396i | −0.747970 | − | 0.663733i | \(-0.768971\pi\) |
0.999617 | − | 0.0276634i | \(-0.00880666\pi\) | |||||||
\(374\) | 0.0805960 | − | 1.88680i | 0.00416752 | − | 0.0975644i | ||||
\(375\) | −0.949965 | − | 8.06816i | −0.0490560 | − | 0.416638i | ||||
\(376\) | 8.69335 | − | 1.95310i | 0.448325 | − | 0.100724i | ||||
\(377\) | −23.3900 | −1.20465 | ||||||||
\(378\) | 18.5708 | + | 16.8982i | 0.955177 | + | 0.869152i | ||||
\(379\) | 1.93137i | 0.0992080i | 0.998769 | + | 0.0496040i | \(0.0157959\pi\) | ||||
−0.998769 | + | 0.0496040i | \(0.984204\pi\) | |||||||
\(380\) | −1.16839 | − | 2.49333i | −0.0599373 | − | 0.127905i | ||||
\(381\) | 9.92702 | + | 13.3107i | 0.508577 | + | 0.681930i | ||||
\(382\) | −18.6782 | − | 0.797850i | −0.955659 | − | 0.0408216i | ||||
\(383\) | 12.4377 | + | 4.52695i | 0.635537 | + | 0.231317i | 0.639639 | − | 0.768675i | \(-0.279084\pi\) |
−0.00410258 | + | 0.999992i | \(0.501306\pi\) | |||||||
\(384\) | 16.9007 | + | 9.91806i | 0.862458 | + | 0.506129i | ||||
\(385\) | 1.15363 | − | 6.54257i | 0.0587945 | − | 0.333440i | ||||
\(386\) | −0.184692 | − | 0.168919i | −0.00940060 | − | 0.00859776i | ||||
\(387\) | 1.73467 | − | 3.46866i | 0.0881783 | − | 0.176322i | ||||
\(388\) | −2.00014 | − | 22.3753i | −0.101542 | − | 1.13593i | ||||
\(389\) | −8.22522 | − | 22.5986i | −0.417035 | − | 1.14579i | −0.953374 | − | 0.301792i | \(-0.902415\pi\) |
0.536339 | − | 0.844003i | \(-0.319807\pi\) | |||||||
\(390\) | 31.1536 | + | 45.7220i | 1.57752 | + | 2.31523i | ||||
\(391\) | −11.7780 | + | 9.88288i | −0.595637 | + | 0.499799i | ||||
\(392\) | 0.614104 | + | 13.2073i | 0.0310169 | + | 0.667068i | ||||
\(393\) | 0.164279 | − | 0.695774i | 0.00828677 | − | 0.0350972i | ||||
\(394\) | −1.36179 | + | 0.180590i | −0.0686058 | + | 0.00909799i | ||||
\(395\) | −14.6540 | + | 8.46051i | −0.737325 | + | 0.425695i | ||||
\(396\) | 2.59051 | + | 2.28878i | 0.130178 | + | 0.115016i | ||||
\(397\) | 28.6833 | + | 16.5603i | 1.43957 | + | 0.831137i | 0.997820 | − | 0.0659997i | \(-0.0210236\pi\) |
0.441752 | + | 0.897137i | \(0.354357\pi\) | |||||||
\(398\) | 5.35707 | + | 2.21305i | 0.268525 | + | 0.110930i | ||||
\(399\) | 1.08534 | + | 2.15652i | 0.0543347 | + | 0.107961i | ||||
\(400\) | 8.83232 | + | 23.9846i | 0.441616 | + | 1.19923i | ||||
\(401\) | 1.94567 | + | 11.0344i | 0.0971620 | + | 0.551033i | 0.994063 | + | 0.108802i | \(0.0347016\pi\) |
−0.896901 | + | 0.442231i | \(0.854187\pi\) | |||||||
\(402\) | −21.5208 | + | 29.9155i | −1.07336 | + | 1.49205i | ||||
\(403\) | 9.48715 | − | 11.3063i | 0.472588 | − | 0.563209i | ||||
\(404\) | −10.4637 | + | 22.5505i | −0.520590 | + | 1.12193i | ||||
\(405\) | −27.9304 | − | 11.9359i | −1.38787 | − | 0.593097i | ||||
\(406\) | 16.4905 | + | 3.63954i | 0.818412 | + | 0.180627i | ||||
\(407\) | 0.536366 | + | 0.450065i | 0.0265867 | + | 0.0223089i | ||||
\(408\) | −5.57040 | − | 9.89498i | −0.275776 | − | 0.489875i | ||||
\(409\) | 1.95004 | + | 11.0592i | 0.0964233 | + | 0.546844i | 0.994302 | + | 0.106601i | \(0.0339966\pi\) |
−0.897879 | + | 0.440243i | \(0.854892\pi\) | |||||||
\(410\) | 26.7655 | + | 17.0160i | 1.32185 | + | 0.840362i | ||||
\(411\) | 24.3829 | − | 12.2714i | 1.20272 | − | 0.605305i | ||||
\(412\) | −18.0842 | + | 25.9309i | −0.890943 | + | 1.27752i | ||||
\(413\) | 25.9810 | + | 15.0001i | 1.27844 | + | 0.738109i | ||||
\(414\) | −0.483555 | − | 28.1384i | −0.0237654 | − | 1.38293i | ||||
\(415\) | 17.5140 | + | 30.3351i | 0.859728 | + | 1.48909i | ||||
\(416\) | −28.0334 | − | 25.4457i | −1.37445 | − | 1.24758i | ||||
\(417\) | 0.878792 | − | 3.72197i | 0.0430347 | − | 0.182266i | ||||
\(418\) | 0.153754 | + | 0.294679i | 0.00752035 | + | 0.0144132i | ||||
\(419\) | −8.95678 | − | 10.6743i | −0.437567 | − | 0.521472i | 0.501522 | − | 0.865145i | \(-0.332774\pi\) |
−0.939090 | + | 0.343672i | \(0.888329\pi\) | |||||||
\(420\) | −14.8496 | − | 37.0828i | −0.724586 | − | 1.80945i | ||||
\(421\) | 4.06687 | + | 11.1736i | 0.198207 | + | 0.544570i | 0.998483 | − | 0.0550623i | \(-0.0175358\pi\) |
−0.800276 | + | 0.599632i | \(0.795314\pi\) | |||||||
\(422\) | −1.60054 | − | 5.05962i | −0.0779132 | − | 0.246298i | ||||
\(423\) | 7.88699 | − | 5.20653i | 0.383478 | − | 0.253150i | ||||
\(424\) | −24.4160 | + | 10.1945i | −1.18575 | + | 0.495089i | ||||
\(425\) | 2.57184 | − | 14.5856i | 0.124753 | − | 0.707507i | ||||
\(426\) | −13.7627 | + | 13.4161i | −0.666804 | + | 0.650010i | ||||
\(427\) | −5.54707 | + | 15.2404i | −0.268442 | + | 0.737537i | ||||
\(428\) | −4.72559 | − | 1.25666i | −0.228420 | − | 0.0607432i | ||||
\(429\) | −3.99269 | − | 5.35364i | −0.192769 | − | 0.258476i | ||||
\(430\) | −4.89145 | + | 3.76068i | −0.235887 | + | 0.181356i | ||||
\(431\) | −28.2506 | −1.36079 | −0.680393 | − | 0.732848i | \(-0.738191\pi\) | ||||
−0.680393 | + | 0.732848i | \(0.738191\pi\) | |||||||
\(432\) | 20.4912 | + | 3.47984i | 0.985885 | + | 0.167424i | ||||
\(433\) | −27.8524 | −1.33850 | −0.669251 | − | 0.743036i | \(-0.733385\pi\) | ||||
−0.669251 | + | 0.743036i | \(0.733385\pi\) | |||||||
\(434\) | −8.44798 | + | 6.49503i | −0.405516 | + | 0.311772i | ||||
\(435\) | −20.2888 | + | 2.38886i | −0.972774 | + | 0.114537i | ||||
\(436\) | 31.4127 | + | 8.35350i | 1.50440 | + | 0.400060i | ||||
\(437\) | 0.925505 | − | 2.54280i | 0.0442729 | − | 0.121639i | ||||
\(438\) | −3.02645 | − | 0.852446i | −0.144609 | − | 0.0407315i | ||||
\(439\) | −2.13242 | + | 12.0935i | −0.101775 | + | 0.577193i | 0.890685 | + | 0.454621i | \(0.150225\pi\) |
−0.992460 | + | 0.122572i | \(0.960886\pi\) | |||||||
\(440\) | −2.11894 | − | 5.07489i | −0.101016 | − | 0.241936i | ||||
\(441\) | 5.57627 | + | 12.8672i | 0.265537 | + | 0.612725i | ||||
\(442\) | 6.61674 | + | 20.9168i | 0.314726 | + | 0.994910i | ||||
\(443\) | −7.22670 | − | 19.8552i | −0.343351 | − | 0.943348i | −0.984415 | − | 0.175861i | \(-0.943729\pi\) |
0.641064 | − | 0.767487i | \(-0.278493\pi\) | |||||||
\(444\) | 4.16717 | + | 0.598764i | 0.197765 | + | 0.0284161i | ||||
\(445\) | −12.4303 | − | 14.8138i | −0.589252 | − | 0.702243i | ||||
\(446\) | −2.56554 | − | 4.91701i | −0.121482 | − | 0.232827i | ||||
\(447\) | −11.3564 | + | 3.41036i | −0.537137 | + | 0.161305i | ||||
\(448\) | 15.8049 | + | 22.3019i | 0.746710 | + | 1.05367i | ||||
\(449\) | 13.8708 | + | 24.0249i | 0.654604 | + | 1.13381i | 0.981993 | + | 0.188917i | \(0.0604978\pi\) |
−0.327389 | + | 0.944890i | \(0.606169\pi\) | |||||||
\(450\) | 17.7799 | + | 20.4646i | 0.838154 | + | 0.964712i | ||||
\(451\) | −3.31561 | − | 1.91427i | −0.156126 | − | 0.0901393i | ||||
\(452\) | −13.9251 | + | 19.9671i | −0.654980 | + | 0.939176i | ||||
\(453\) | 1.17089 | − | 20.4013i | 0.0550133 | − | 0.958538i | ||||
\(454\) | −14.1229 | − | 8.97856i | −0.662821 | − | 0.421385i | ||||
\(455\) | 13.4014 | + | 76.0030i | 0.628266 | + | 3.56307i | ||||
\(456\) | 1.71980 | + | 1.01800i | 0.0805368 | + | 0.0476722i | ||||
\(457\) | −26.0906 | − | 21.8926i | −1.22047 | − | 1.02409i | −0.998800 | − | 0.0489720i | \(-0.984405\pi\) |
−0.221668 | − | 0.975122i | \(-0.571150\pi\) | |||||||
\(458\) | −14.6352 | − | 3.23006i | −0.683858 | − | 0.150931i | ||||
\(459\) | −9.24588 | − | 7.71824i | −0.431561 | − | 0.360256i | ||||
\(460\) | −18.8452 | + | 40.6137i | −0.878664 | + | 1.89362i | ||||
\(461\) | −8.93591 | + | 10.6494i | −0.416187 | + | 0.495992i | −0.932884 | − | 0.360176i | \(-0.882717\pi\) |
0.516698 | + | 0.856168i | \(0.327161\pi\) | |||||||
\(462\) | 1.98191 | + | 4.39572i | 0.0922068 | + | 0.204508i | ||||
\(463\) | 3.22751 | + | 18.3041i | 0.149995 | + | 0.850665i | 0.963220 | + | 0.268715i | \(0.0865991\pi\) |
−0.813224 | + | 0.581950i | \(0.802290\pi\) | |||||||
\(464\) | 13.1182 | − | 4.83078i | 0.608996 | − | 0.224263i | ||||
\(465\) | 7.07455 | − | 10.7762i | 0.328075 | − | 0.499735i | ||||
\(466\) | −1.47701 | − | 0.610165i | −0.0684211 | − | 0.0282653i | ||||
\(467\) | −8.34116 | − | 4.81577i | −0.385983 | − | 0.222847i | 0.294435 | − | 0.955671i | \(-0.404868\pi\) |
−0.680418 | + | 0.732824i | \(0.738202\pi\) | |||||||
\(468\) | −37.3720 | − | 14.6921i | −1.72752 | − | 0.679145i | ||||
\(469\) | −44.5181 | + | 25.7026i | −2.05566 | + | 1.18683i | ||||
\(470\) | −14.9047 | + | 1.97654i | −0.687500 | + | 0.0911712i | ||||
\(471\) | −15.1952 | − | 14.3116i | −0.700156 | − | 0.659442i | ||||
\(472\) | 24.8074 | − | 1.15348i | 1.14186 | − | 0.0530933i | ||||
\(473\) | 0.570541 | − | 0.478741i | 0.0262335 | − | 0.0220125i | ||||
\(474\) | 5.33183 | − | 11.0635i | 0.244899 | − | 0.508166i | ||||
\(475\) | 0.891532 | + | 2.44946i | 0.0409063 | + | 0.112389i | ||||
\(476\) | −1.41027 | − | 15.7765i | −0.0646395 | − | 0.723113i | ||||
\(477\) | −20.3802 | + | 19.2931i | −0.933145 | + | 0.883372i | ||||
\(478\) | 6.05696 | + | 5.53968i | 0.277039 | + | 0.253379i | ||||
\(479\) | 5.05443 | − | 28.6651i | 0.230943 | − | 1.30974i | −0.620049 | − | 0.784563i | \(-0.712887\pi\) |
0.850992 | − | 0.525179i | \(-0.176002\pi\) | |||||||
\(480\) | −26.9154 | − | 19.2088i | −1.22852 | − | 0.876759i | ||||
\(481\) | −7.64321 | − | 2.78190i | −0.348500 | − | 0.126844i | ||||
\(482\) | 41.6796 | + | 1.78037i | 1.89846 | + | 0.0810937i | ||||
\(483\) | 15.5180 | − | 36.0588i | 0.706094 | − | 1.64073i | ||||
\(484\) | −9.05352 | − | 19.3201i | −0.411524 | − | 0.878185i | ||||
\(485\) | 37.9074i | 1.72129i | ||||||||
\(486\) | 21.6308 | − | 4.25563i | 0.981191 | − | 0.193039i | ||||
\(487\) | −13.1429 | −0.595563 | −0.297782 | − | 0.954634i | \(-0.596247\pi\) | ||||
−0.297782 | + | 0.954634i | \(0.596247\pi\) | |||||||
\(488\) | 2.94295 | + | 13.0992i | 0.133221 | + | 0.592973i | ||||
\(489\) | 21.3147 | + | 9.17282i | 0.963882 | + | 0.414809i | ||||
\(490\) | 0.952140 | − | 22.2902i | 0.0430133 | − | 1.00697i | ||||
\(491\) | 4.01945 | − | 11.0433i | 0.181395 | − | 0.498379i | −0.815352 | − | 0.578965i | \(-0.803457\pi\) |
0.996748 | + | 0.0805856i | \(0.0256791\pi\) | |||||||
\(492\) | −23.0082 | + | 0.732451i | −1.03729 | + | 0.0330215i | ||||
\(493\) | −7.97752 | − | 1.40665i | −0.359289 | − | 0.0633524i | ||||
\(494\) | −2.84920 | − | 2.60587i | −0.128191 | − | 0.117243i | ||||
\(495\) | −4.01010 | − | 4.23604i | −0.180240 | − | 0.190396i | ||||
\(496\) | −2.98571 | + | 8.30052i | −0.134062 | + | 0.372704i | ||||
\(497\) | −25.1930 | + | 9.16949i | −1.13006 | + | 0.411308i | ||||
\(498\) | −22.9025 | − | 11.0374i | −1.02629 | − | 0.494596i | ||||
\(499\) | 23.2598 | + | 27.7199i | 1.04125 | + | 1.24091i | 0.969911 | + | 0.243461i | \(0.0782827\pi\) |
0.0713387 | + | 0.997452i | \(0.477273\pi\) | |||||||
\(500\) | −2.44499 | − | 9.05643i | −0.109343 | − | 0.405016i | ||||
\(501\) | −8.04343 | + | 8.54003i | −0.359354 | + | 0.381540i | ||||
\(502\) | −8.42969 | + | 1.11788i | −0.376236 | + | 0.0498936i | ||||
\(503\) | 1.18773 | + | 2.05720i | 0.0529581 | + | 0.0917261i | 0.891289 | − | 0.453435i | \(-0.149802\pi\) |
−0.838331 | + | 0.545161i | \(0.816468\pi\) | |||||||
\(504\) | 24.0621 | + | 16.1735i | 1.07181 | + | 0.720426i | ||||
\(505\) | 20.9748 | − | 36.3294i | 0.933366 | − | 1.61664i | ||||
\(506\) | 2.06353 | − | 4.99514i | 0.0917352 | − | 0.222061i | ||||
\(507\) | 46.0326 | + | 30.2202i | 2.04438 | + | 1.34213i | ||||
\(508\) | 13.5834 | + | 13.5322i | 0.602665 | + | 0.600394i | ||||
\(509\) | 40.5051 | − | 7.14215i | 1.79536 | − | 0.316570i | 0.826269 | − | 0.563276i | \(-0.190459\pi\) |
0.969090 | + | 0.246706i | \(0.0793482\pi\) | |||||||
\(510\) | 7.87573 | + | 17.4678i | 0.348743 | + | 0.773485i | ||||
\(511\) | −3.35977 | − | 2.81918i | −0.148627 | − | 0.124713i | ||||
\(512\) | 20.9778 | + | 8.48130i | 0.927096 | + | 0.374824i | ||||
\(513\) | 2.08846 | + | 0.362779i | 0.0922077 | + | 0.0160171i | ||||
\(514\) | 7.91515 | − | 35.8631i | 0.349123 | − | 1.58185i | ||||
\(515\) | 34.2906 | − | 40.8660i | 1.51103 | − | 1.80077i | ||||
\(516\) | 1.39696 | − | 4.25474i | 0.0614979 | − | 0.187304i | ||||
\(517\) | 1.78734 | − | 0.315155i | 0.0786069 | − | 0.0138605i | ||||
\(518\) | 4.95578 | + | 3.15061i | 0.217745 | + | 0.138430i | ||||
\(519\) | 2.91447 | + | 0.167270i | 0.127931 | + | 0.00734234i | ||||
\(520\) | 43.2938 | + | 46.9792i | 1.89856 | + | 2.06017i | ||||
\(521\) | −5.21530 | + | 9.03316i | −0.228486 | + | 0.395750i | −0.957360 | − | 0.288899i | \(-0.906711\pi\) |
0.728873 | + | 0.684649i | \(0.240044\pi\) | |||||||
\(522\) | 11.1930 | − | 9.72461i | 0.489904 | − | 0.425635i | ||||
\(523\) | −14.6626 | + | 8.46543i | −0.641149 | + | 0.370167i | −0.785057 | − | 0.619424i | \(-0.787366\pi\) |
0.143908 | + | 0.989591i | \(0.454033\pi\) | |||||||
\(524\) | 0.0703951 | − | 0.822494i | 0.00307523 | − | 0.0359308i | ||||
\(525\) | 10.8762 | + | 36.2173i | 0.474677 | + | 1.58065i | ||||
\(526\) | 9.10062 | + | 17.4419i | 0.396806 | + | 0.760504i | ||||
\(527\) | 3.91569 | − | 3.28565i | 0.170570 | − | 0.143125i | ||||
\(528\) | 3.34498 | + | 2.17795i | 0.145572 | + | 0.0947831i | ||||
\(529\) | −19.7338 | + | 7.18252i | −0.857992 | + | 0.312283i | ||||
\(530\) | 42.5685 | − | 13.4660i | 1.84906 | − | 0.584924i | ||||
\(531\) | 24.1687 | − | 10.4740i | 1.04883 | − | 0.454533i | ||||
\(532\) | 1.60328 | + | 2.28054i | 0.0695109 | + | 0.0988741i | ||||
\(533\) | 43.7992 | + | 7.72298i | 1.89715 | + | 0.334519i | ||||
\(534\) | 13.5099 | + | 3.80529i | 0.584632 | + | 0.164671i | ||||
\(535\) | 7.75366 | + | 2.82210i | 0.335220 | + | 0.122010i | ||||
\(536\) | −19.5419 | + | 37.8006i | −0.844083 | + | 1.63274i | ||||
\(537\) | −2.41330 | − | 20.4964i | −0.104142 | − | 0.884486i | ||||
\(538\) | −3.35658 | − | 4.36584i | −0.144712 | − | 0.188225i | ||||
\(539\) | 2.69313i | 0.116001i | ||||||||
\(540\) | −33.9175 | − | 8.92733i | −1.45958 | − | 0.384171i | ||||
\(541\) | − | 29.4745i | − | 1.26721i | −0.773658 | − | 0.633603i | \(-0.781575\pi\) | ||
0.773658 | − | 0.633603i | \(-0.218425\pi\) | |||||||
\(542\) | 30.3839 | − | 23.3600i | 1.30510 | − | 1.00340i | ||||
\(543\) | 22.9306 | − | 17.1015i | 0.984048 | − | 0.733894i | ||||
\(544\) | −8.03096 | − | 10.3645i | −0.344325 | − | 0.444376i | ||||
\(545\) | −51.5414 | − | 18.7595i | −2.20779 | − | 0.803570i | ||||
\(546\) | −39.0996 | − | 40.1098i | −1.67331 | − | 1.71654i | ||||
\(547\) | −31.4846 | − | 5.55158i | −1.34618 | − | 0.237369i | −0.546333 | − | 0.837568i | \(-0.683977\pi\) |
−0.799850 | + | 0.600199i | \(0.795088\pi\) | |||||||
\(548\) | 25.7851 | − | 18.1276i | 1.10149 | − | 0.774371i | ||||
\(549\) | 7.84523 | + | 11.8842i | 0.334826 | + | 0.507204i | ||||
\(550\) | 1.57022 | + | 4.96376i | 0.0669543 | + | 0.211655i | ||||
\(551\) | 1.33972 | − | 0.487617i | 0.0570739 | − | 0.0207732i | ||||
\(552\) | −5.29485 | − | 32.0620i | −0.225364 | − | 1.36465i | ||||
\(553\) | 13.1233 | − | 11.0117i | 0.558059 | − | 0.468267i | ||||
\(554\) | −8.98106 | + | 4.68602i | −0.381569 | + | 0.199090i | ||||
\(555\) | −6.91395 | − | 1.63245i | −0.293481 | − | 0.0692935i | ||||
\(556\) | 0.376572 | − | 4.39985i | 0.0159702 | − | 0.186595i | ||||
\(557\) | 7.19468 | − | 4.15385i | 0.304849 | − | 0.176004i | −0.339770 | − | 0.940508i | \(-0.610349\pi\) |
0.644619 | + | 0.764504i | \(0.277016\pi\) | |||||||
\(558\) | 0.160762 | + | 9.35488i | 0.00680561 | + | 0.396024i | ||||
\(559\) | −4.32598 | + | 7.49282i | −0.182970 | + | 0.316913i | ||||
\(560\) | −23.2131 | − | 39.8582i | −0.980934 | − | 1.68432i | ||||
\(561\) | −1.03981 | − | 2.06606i | −0.0439007 | − | 0.0872290i | ||||
\(562\) | −0.588525 | + | 0.925725i | −0.0248254 | + | 0.0390494i | ||||
\(563\) | −6.57453 | + | 1.15927i | −0.277083 | + | 0.0488573i | −0.310463 | − | 0.950585i | \(-0.600484\pi\) |
0.0333796 | + | 0.999443i | \(0.489373\pi\) | |||||||
\(564\) | 8.13206 | − | 7.27687i | 0.342422 | − | 0.306412i | ||||
\(565\) | 26.4043 | − | 31.4674i | 1.11084 | − | 1.32384i | ||||
\(566\) | 2.11126 | + | 0.465966i | 0.0887430 | + | 0.0195860i | ||||
\(567\) | 29.9462 | + | 6.99023i | 1.25762 | + | 0.293562i | ||||
\(568\) | −13.4604 | + | 17.6452i | −0.564787 | + | 0.740375i | ||||
\(569\) | −24.2709 | − | 20.3657i | −1.01749 | − | 0.853775i | −0.0281798 | − | 0.999603i | \(-0.508971\pi\) |
−0.989310 | + | 0.145827i | \(0.953416\pi\) | |||||||
\(570\) | −2.73758 | − | 1.96937i | −0.114664 | − | 0.0824880i | ||||
\(571\) | −32.6020 | + | 5.74861i | −1.36435 | + | 0.240572i | −0.807416 | − | 0.589983i | \(-0.799134\pi\) |
−0.556936 | + | 0.830555i | \(0.688023\pi\) | |||||||
\(572\) | −5.46329 | − | 5.44271i | −0.228432 | − | 0.227571i | ||||
\(573\) | −20.4527 | + | 10.2934i | −0.854423 | + | 0.430014i | ||||
\(574\) | −29.6778 | − | 12.2602i | −1.23873 | − | 0.511729i | ||||
\(575\) | 21.1926 | − | 36.7066i | 0.883791 | − | 1.53077i | ||||
\(576\) | 23.9943 | + | 0.521532i | 0.999764 | + | 0.0217305i | ||||
\(577\) | 15.0611 | + | 26.0866i | 0.627001 | + | 1.08600i | 0.988150 | + | 0.153490i | \(0.0490512\pi\) |
−0.361149 | + | 0.932508i | \(0.617615\pi\) | |||||||
\(578\) | −2.16172 | − | 16.3011i | −0.0899159 | − | 0.678035i | ||||
\(579\) | −0.298338 | − | 0.0704404i | −0.0123985 | − | 0.00292740i | ||||
\(580\) | −22.7740 | + | 6.14836i | −0.945638 | + | 0.255297i | ||||
\(581\) | −22.7953 | − | 27.1663i | −0.945707 | − | 1.12705i | ||||
\(582\) | −15.4922 | − | 22.7370i | −0.642174 | − | 0.942477i | ||||
\(583\) | −5.06443 | + | 1.84330i | −0.209747 | + | 0.0763418i | ||||
\(584\) | −3.60089 | − | 0.463700i | −0.149006 | − | 0.0191880i | ||||
\(585\) | 60.6050 | + | 30.3085i | 2.50571 | + | 1.25310i | ||||
\(586\) | −15.1792 | + | 16.5966i | −0.627046 | + | 0.685598i | ||||
\(587\) | 15.0318 | + | 2.65051i | 0.620427 | + | 0.109398i | 0.475022 | − | 0.879974i | \(-0.342440\pi\) |
0.145406 | + | 0.989372i | \(0.453551\pi\) | |||||||
\(588\) | 8.53861 | + | 13.7588i | 0.352126 | + | 0.567405i | ||||
\(589\) | −0.307693 | + | 0.845379i | −0.0126783 | + | 0.0348332i | ||||
\(590\) | −41.8681 | − | 1.78842i | −1.72368 | − | 0.0736281i | ||||
\(591\) | −1.34867 | + | 1.00583i | −0.0554770 | + | 0.0413743i | ||||
\(592\) | 4.86121 | − | 0.0183477i | 0.199795 | − | 0.000754087i | ||||
\(593\) | 27.1813 | 1.11620 | 0.558101 | − | 0.829773i | \(-0.311530\pi\) | ||||
0.558101 | + | 0.829773i | \(0.311530\pi\) | |||||||
\(594\) | 4.13648 | + | 0.901917i | 0.169722 | + | 0.0370061i | ||||
\(595\) | 26.7279i | 1.09574i | ||||||||
\(596\) | −12.3980 | + | 5.80978i | −0.507841 | + | 0.237978i | ||||
\(597\) | 7.05014 | − | 0.830102i | 0.288543 | − | 0.0339738i | ||||
\(598\) | −2.67939 | + | 62.7262i | −0.109568 | + | 2.56506i | ||||
\(599\) | −39.7660 | − | 14.4737i | −1.62480 | − | 0.591378i | −0.640509 | − | 0.767951i | \(-0.721277\pi\) |
−0.984288 | + | 0.176573i | \(0.943499\pi\) | |||||||
\(600\) | 23.7597 | + | 20.3808i | 0.969987 | + | 0.832043i | ||||
\(601\) | −0.648834 | + | 3.67972i | −0.0264665 | + | 0.150099i | −0.995177 | − | 0.0980937i | \(-0.968726\pi\) |
0.968711 | + | 0.248193i | \(0.0798366\pi\) | |||||||
\(602\) | 4.21583 | − | 4.60950i | 0.171824 | − | 0.187869i | ||||
\(603\) | −5.16379 | + | 44.8381i | −0.210286 | + | 1.82595i | ||||
\(604\) | −2.10090 | − | 23.5025i | −0.0854844 | − | 0.956302i | ||||
\(605\) | 12.3139 | + | 33.8321i | 0.500631 | + | 1.37547i | ||||
\(606\) | 2.26661 | + | 30.3626i | 0.0920747 | + | 1.23340i | ||||
\(607\) | 35.5497 | − | 29.8298i | 1.44292 | − | 1.21075i | 0.505370 | − | 0.862903i | \(-0.331356\pi\) |
0.937550 | − | 0.347850i | \(-0.113088\pi\) | |||||||
\(608\) | 2.13616 | + | 0.873040i | 0.0866325 | + | 0.0354065i | ||||
\(609\) | 19.8088 | − | 5.94867i | 0.802694 | − | 0.241052i | ||||
\(610\) | −2.97827 | − | 22.4584i | −0.120587 | − | 0.909315i | ||||
\(611\) | −18.2586 | + | 10.5416i | −0.738664 | + | 0.426468i | ||||
\(612\) | −11.8627 | − | 7.25850i | −0.479522 | − | 0.293407i | ||||
\(613\) | −21.9670 | − | 12.6827i | −0.887239 | − | 0.512248i | −0.0142005 | − | 0.999899i | \(-0.504520\pi\) |
−0.873038 | + | 0.487652i | \(0.837854\pi\) | |||||||
\(614\) | 0.231056 | − | 0.559311i | 0.00932466 | − | 0.0225719i | ||||
\(615\) | 38.7808 | + | 2.22575i | 1.56379 | + | 0.0897507i | ||||
\(616\) | 3.00486 | + | 4.68735i | 0.121069 | + | 0.188859i | ||||
\(617\) | 1.23909 | + | 7.02722i | 0.0498838 | + | 0.282905i | 0.999538 | − | 0.0303950i | \(-0.00967653\pi\) |
−0.949654 | + | 0.313300i | \(0.898565\pi\) | |||||||
\(618\) | −3.86622 | + | 38.5256i | −0.155522 | + | 1.54973i | ||||
\(619\) | −17.2889 | + | 20.6041i | −0.694900 | + | 0.828149i | −0.991939 | − | 0.126716i | \(-0.959556\pi\) |
0.297039 | + | 0.954865i | \(0.404001\pi\) | |||||||
\(620\) | 6.26528 | − | 13.5024i | 0.251620 | − | 0.542269i | ||||
\(621\) | −17.3096 | − | 29.8058i | −0.694610 | − | 1.19607i | ||||
\(622\) | 3.36672 | − | 15.2544i | 0.134993 | − | 0.611646i | ||||
\(623\) | 14.9979 | + | 12.5847i | 0.600877 | + | 0.504196i | ||||
\(624\) | −45.1675 | − | 10.4847i | −1.80815 | − | 0.419722i | ||||
\(625\) | −2.79914 | − | 15.8747i | −0.111966 | − | 0.634989i | ||||
\(626\) | −21.0893 | + | 33.1727i | −0.842900 | + | 1.32585i | ||||
\(627\) | 0.340300 | + | 0.223406i | 0.0135903 | + | 0.00892197i | ||||
\(628\) | −19.7700 | − | 13.7876i | −0.788910 | − | 0.550185i | ||||
\(629\) | −2.43953 | − | 1.40846i | −0.0972705 | − | 0.0561592i | ||||
\(630\) | −38.0120 | − | 30.7985i | −1.51444 | − | 1.22704i | ||||
\(631\) | −11.7466 | − | 20.3457i | −0.467624 | − | 0.809949i | 0.531691 | − | 0.846938i | \(-0.321557\pi\) |
−0.999316 | + | 0.0369893i | \(0.988223\pi\) | |||||||
\(632\) | 4.22608 | − | 13.5369i | 0.168104 | − | 0.538469i | ||||
\(633\) | −4.73127 | − | 4.45615i | −0.188051 | − | 0.177116i | ||||
\(634\) | −4.40561 | + | 2.29870i | −0.174969 | + | 0.0912930i | ||||
\(635\) | −20.7970 | − | 24.7848i | −0.825302 | − | 0.983557i | ||||
\(636\) | −20.0293 | + | 25.4741i | −0.794214 | + | 1.01011i | ||||
\(637\) | −10.7002 | − | 29.3985i | −0.423956 | − | 1.16481i | ||||
\(638\) | 2.71489 | − | 0.858820i | 0.107484 | − | 0.0340010i | ||||
\(639\) | −6.71294 | + | 22.5619i | −0.265560 | + | 0.892535i | ||||
\(640\) | −33.9839 | − | 17.4066i | −1.34333 | − | 0.688055i | ||||
\(641\) | −7.57282 | + | 42.9476i | −0.299108 | + | 1.69633i | 0.350911 | + | 0.936409i | \(0.385872\pi\) |
−0.650019 | + | 0.759918i | \(0.725239\pi\) | |||||||
\(642\) | −5.80402 | + | 1.47612i | −0.229067 | + | 0.0582576i | ||||
\(643\) | −0.120739 | + | 0.331727i | −0.00476148 | + | 0.0130820i | −0.942051 | − | 0.335471i | \(-0.891105\pi\) |
0.937289 | + | 0.348553i | \(0.113327\pi\) | |||||||
\(644\) | 11.6494 | − | 43.8066i | 0.459050 | − | 1.72622i | ||||
\(645\) | −2.98717 | + | 6.94120i | −0.117620 | + | 0.273310i | ||||
\(646\) | −0.815048 | − | 1.06012i | −0.0320676 | − | 0.0417098i | ||||
\(647\) | −26.0967 | −1.02597 | −0.512984 | − | 0.858398i | \(-0.671460\pi\) | ||||
−0.512984 | + | 0.858398i | \(0.671460\pi\) | |||||||
\(648\) | 23.9923 | − | 8.50701i | 0.942507 | − | 0.334187i | ||||
\(649\) | 5.05855 | 0.198565 | ||||||||
\(650\) | −36.8624 | − | 47.9463i | −1.44586 | − | 1.88061i | ||||
\(651\) | −5.15911 | + | 11.9881i | −0.202201 | + | 0.469850i | ||||
\(652\) | 25.8944 | + | 6.88605i | 1.01410 | + | 0.269678i | ||||
\(653\) | 0.281991 | − | 0.774764i | 0.0110352 | − | 0.0303189i | −0.934053 | − | 0.357135i | \(-0.883754\pi\) |
0.945088 | + | 0.326816i | \(0.105976\pi\) | |||||||
\(654\) | 38.5814 | − | 9.81226i | 1.50865 | − | 0.383690i | ||||
\(655\) | −0.241889 | + | 1.37182i | −0.00945137 | + | 0.0536014i | ||||
\(656\) | −26.1597 | + | 4.71453i | −1.02136 | + | 0.184071i | ||||
\(657\) | −3.74554 | + | 0.894418i | −0.146127 | + | 0.0348946i | ||||
\(658\) | 14.5131 | − | 4.59101i | 0.565779 | − | 0.178976i | ||||
\(659\) | 14.2971 | + | 39.2809i | 0.556935 | + | 1.53017i | 0.824058 | + | 0.566505i | \(0.191705\pi\) |
−0.267123 | + | 0.963662i | \(0.586073\pi\) | |||||||
\(660\) | −5.29481 | − | 4.16311i | −0.206100 | − | 0.162049i | ||||
\(661\) | 1.06741 | + | 1.27208i | 0.0415173 | + | 0.0494784i | 0.786404 | − | 0.617713i | \(-0.211941\pi\) |
−0.744886 | + | 0.667192i | \(0.767496\pi\) | |||||||
\(662\) | 21.8387 | − | 11.3947i | 0.848786 | − | 0.442868i | ||||
\(663\) | 19.5594 | + | 18.4220i | 0.759624 | + | 0.715452i | ||||
\(664\) | −28.0226 | − | 8.74835i | −1.08749 | − | 0.339502i | ||||
\(665\) | −2.35205 | − | 4.07387i | −0.0912086 | − | 0.157978i | ||||
\(666\) | 4.81416 | − | 1.84649i | 0.186545 | − | 0.0715501i | ||||
\(667\) | −20.0764 | − | 11.5911i | −0.777362 | − | 0.448810i | ||||
\(668\) | −7.74894 | + | 11.1112i | −0.299816 | + | 0.429905i | ||||
\(669\) | −5.67824 | − | 3.72775i | −0.219533 | − | 0.144123i | ||||
\(670\) | 38.5241 | − | 60.5968i | 1.48831 | − | 2.34106i | ||||
\(671\) | 0.474878 | + | 2.69317i | 0.0183325 | + | 0.103969i | ||||
\(672\) | 30.2128 | + | 14.4201i | 1.16548 | + | 0.556269i | ||||
\(673\) | −4.23311 | − | 3.55200i | −0.163175 | − | 0.136920i | 0.557544 | − | 0.830147i | \(-0.311744\pi\) |
−0.720719 | + | 0.693227i | \(0.756188\pi\) | |||||||
\(674\) | −0.867456 | + | 3.93039i | −0.0334132 | + | 0.151393i | ||||
\(675\) | 31.2287 | + | 11.2765i | 1.20199 | + | 0.434032i | ||||
\(676\) | 57.6779 | + | 26.7632i | 2.21838 | + | 1.02936i | ||||
\(677\) | −2.08429 | + | 2.48396i | −0.0801056 | + | 0.0954662i | −0.804609 | − | 0.593805i | \(-0.797625\pi\) |
0.724503 | + | 0.689272i | \(0.242069\pi\) | |||||||
\(678\) | −2.97705 | + | 29.6653i | −0.114333 | + | 1.13929i | ||||
\(679\) | −6.66432 | − | 37.7952i | −0.255753 | − | 1.45045i | ||||
\(680\) | 11.9407 | + | 18.6266i | 0.457906 | + | 0.714299i | ||||
\(681\) | −20.4628 | − | 1.17442i | −0.784137 | − | 0.0450040i | ||||
\(682\) | −0.686041 | + | 1.66068i | −0.0262699 | + | 0.0635907i | ||||
\(683\) | −22.4547 | − | 12.9642i | −0.859206 | − | 0.496063i | 0.00454025 | − | 0.999990i | \(-0.498555\pi\) |
−0.863746 | + | 0.503927i | \(0.831888\pi\) | |||||||
\(684\) | 2.44686 | + | 0.0624244i | 0.0935581 | + | 0.00238686i | ||||
\(685\) | −46.0615 | + | 26.5936i | −1.75992 | + | 1.01609i | ||||
\(686\) | −1.47722 | − | 11.1394i | −0.0564006 | − | 0.425304i | ||||
\(687\) | −17.5801 | + | 5.27939i | −0.670724 | + | 0.201421i | ||||
\(688\) | 0.878705 | − | 5.09578i | 0.0335003 | − | 0.194275i | ||||
\(689\) | 47.9602 | − | 40.2434i | 1.82714 | − | 1.53315i | ||||
\(690\) | 4.08218 | + | 54.6832i | 0.155406 | + | 2.08176i | ||||
\(691\) | 10.2247 | + | 28.0920i | 0.388964 | + | 1.06867i | 0.967469 | + | 0.252991i | \(0.0814145\pi\) |
−0.578504 | + | 0.815679i | \(0.696363\pi\) | |||||||
\(692\) | 3.35749 | − | 0.300128i | 0.127633 | − | 0.0114092i | ||||
\(693\) | 4.74295 | + | 3.51852i | 0.180170 | + | 0.133657i | ||||
\(694\) | 24.9909 | − | 27.3245i | 0.948640 | − | 1.03722i | ||||
\(695\) | −1.29396 | + | 7.33841i | −0.0490827 | + | 0.278362i | ||||
\(696\) | 11.1471 | − | 12.9952i | 0.422531 | − | 0.492583i | ||||
\(697\) | 14.4739 | + | 5.26808i | 0.548240 | + | 0.199543i | ||||
\(698\) | −0.307938 | + | 7.20902i | −0.0116556 | + | 0.272866i | ||||
\(699\) | −1.94381 | + | 0.228869i | −0.0735217 | + | 0.00865663i | ||||
\(700\) | 18.5284 | + | 39.5392i | 0.700306 | + | 1.49444i | ||||
\(701\) | − | 24.6223i | − | 0.929973i | −0.885318 | − | 0.464987i | \(-0.846059\pi\) | ||
0.885318 | − | 0.464987i | \(-0.153941\pi\) | |||||||
\(702\) | −48.7377 | + | 6.58939i | −1.83949 | + | 0.248700i | ||||
\(703\) | 0.495778 | 0.0186986 | ||||||||
\(704\) | 4.18816 | + | 1.92418i | 0.157847 | + | 0.0725203i | ||||
\(705\) | −14.7611 | + | 11.0087i | −0.555937 | + | 0.414612i | ||||
\(706\) | −21.0306 | − | 0.898336i | −0.791498 | − | 0.0338093i | ||||
\(707\) | −14.5258 | + | 39.9094i | −0.546300 | + | 1.50095i | ||||
\(708\) | 25.8435 | − | 16.0382i | 0.971257 | − | 0.602753i | ||||
\(709\) | 26.4148 | + | 4.65765i | 0.992030 | + | 0.174922i | 0.646029 | − | 0.763313i | \(-0.276428\pi\) |
0.346001 | + | 0.938234i | \(0.387540\pi\) | |||||||
\(710\) | 25.2745 | − | 27.6346i | 0.948535 | − | 1.03711i | ||||
\(711\) | −0.900037 | − | 15.0145i | −0.0337540 | − | 0.563088i | ||||
\(712\) | 16.0742 | + | 2.06994i | 0.602407 | + | 0.0775742i | ||||
\(713\) | 13.7461 | − | 5.00317i | 0.514796 | − | 0.187370i | ||||
\(714\) | −10.9234 | − | 16.0315i | −0.408796 | − | 0.599963i | ||||
\(715\) | 8.36463 | + | 9.96858i | 0.312819 | + | 0.372804i | ||||
\(716\) | −6.21128 | − | 23.0070i | −0.232126 | − | 0.859813i | ||||
\(717\) | 9.78395 | + | 2.31008i | 0.365388 | + | 0.0862716i | ||||
\(718\) | 2.87919 | + | 21.7113i | 0.107450 | + | 0.810257i | ||||
\(719\) | 9.26666 | + | 16.0503i | 0.345588 | + | 0.598576i | 0.985460 | − | 0.169905i | \(-0.0543462\pi\) |
−0.639872 | + | 0.768481i | \(0.721013\pi\) | |||||||
\(720\) | −40.2498 | − | 4.48151i | −1.50002 | − | 0.167016i | ||||
\(721\) | −27.0047 | + | 46.7736i | −1.00571 | + | 1.74194i | ||||
\(722\) | −24.6169 | − | 10.1694i | −0.916145 | − | 0.378467i | ||||
\(723\) | 45.6393 | − | 22.9694i | 1.69735 | − | 0.854241i | ||||
\(724\) | 23.3122 | − | 23.4003i | 0.866390 | − | 0.869666i | ||||
\(725\) | 21.9920 | − | 3.87779i | 0.816764 | − | 0.144017i | ||||
\(726\) | −21.2127 | − | 15.2601i | −0.787276 | − | 0.566355i | ||||
\(727\) | 4.82234 | + | 4.04643i | 0.178851 | + | 0.150074i | 0.727818 | − | 0.685770i | \(-0.240534\pi\) |
−0.548967 | + | 0.835844i | \(0.684979\pi\) | |||||||
\(728\) | −51.4249 | − | 39.2290i | −1.90593 | − | 1.45392i | ||||
\(729\) | 20.5947 | − | 17.4602i | 0.762766 | − | 0.646675i | ||||
\(730\) | 5.98247 | + | 1.32036i | 0.221421 | + | 0.0488687i | ||||
\(731\) | −1.92605 | + | 2.29538i | −0.0712377 | + | 0.0848978i | ||||
\(732\) | 10.9648 | + | 12.2534i | 0.405272 | + | 0.452900i | ||||
\(733\) | 22.4113 | − | 3.95172i | 0.827781 | − | 0.145960i | 0.256323 | − | 0.966591i | \(-0.417489\pi\) |
0.571458 | + | 0.820631i | \(0.306378\pi\) | |||||||
\(734\) | 19.4383 | − | 30.5756i | 0.717480 | − | 1.12857i | ||||
\(735\) | −12.2840 | − | 24.4078i | −0.453102 | − | 0.900297i | ||||
\(736\) | −11.4522 | − | 35.7331i | −0.422135 | − | 1.31714i | ||||
\(737\) | −4.33388 | + | 7.50649i | −0.159640 | + | 0.276505i | ||||
\(738\) | −24.1705 | + | 14.5142i | −0.889727 | + | 0.534275i | ||||
\(739\) | 37.2940 | − | 21.5317i | 1.37188 | − | 0.792056i | 0.380717 | − | 0.924692i | \(-0.375677\pi\) |
0.991165 | + | 0.132636i | \(0.0423440\pi\) | |||||||
\(740\) | −8.17317 | − | 0.699520i | −0.300452 | − | 0.0257149i | ||||
\(741\) | −4.60237 | − | 1.08666i | −0.169072 | − | 0.0399196i | ||||
\(742\) | −40.0752 | + | 20.9099i | −1.47121 | + | 0.767626i | ||||
\(743\) | −27.0616 | + | 22.7074i | −0.992794 | + | 0.833053i | −0.985970 | − | 0.166924i | \(-0.946617\pi\) |
−0.00682406 | + | 0.999977i | \(0.502172\pi\) | |||||||
\(744\) | 1.76032 | + | 10.6593i | 0.0645365 | + | 0.390789i | ||||
\(745\) | 21.7106 | − | 7.90201i | 0.795415 | − | 0.289507i | ||||
\(746\) | −6.06108 | − | 19.1602i | −0.221912 | − | 0.701506i | ||||
\(747\) | −31.0814 | + | 1.86316i | −1.13721 | + | 0.0681693i | ||||
\(748\) | −1.53602 | − | 2.18488i | −0.0561625 | − | 0.0798871i | ||||
\(749\) | −8.22687 | − | 1.45062i | −0.300603 | − | 0.0530045i | ||||
\(750\) | −8.01963 | − | 8.22684i | −0.292835 | − | 0.300402i | ||||
\(751\) | −23.5008 | − | 8.55359i | −0.857557 | − | 0.312125i | −0.124439 | − | 0.992227i | \(-0.539713\pi\) |
−0.733117 | + | 0.680102i | \(0.761935\pi\) | |||||||
\(752\) | 8.06309 | − | 9.68320i | 0.294031 | − | 0.353110i | ||||
\(753\) | −8.34852 | + | 6.22625i | −0.304237 | + | 0.226897i | ||||
\(754\) | −26.2239 | + | 20.1616i | −0.955017 | + | 0.734243i | ||||
\(755\) | 39.8171i | 1.44909i | ||||||||
\(756\) | 35.3867 | + | 2.93803i | 1.28700 | + | 0.106855i | ||||
\(757\) | − | 31.3025i | − | 1.13771i | −0.822439 | − | 0.568853i | \(-0.807387\pi\) | ||
0.822439 | − | 0.568853i | \(-0.192613\pi\) | |||||||
\(758\) | 1.66480 | + | 2.16538i | 0.0604682 | + | 0.0786500i | ||||
\(759\) | −0.774019 | − | 6.57383i | −0.0280951 | − | 0.238615i | ||||
\(760\) | −3.45915 | − | 1.78829i | −0.125476 | − | 0.0648681i | ||||
\(761\) | −2.59308 | − | 0.943805i | −0.0939992 | − | 0.0342129i | 0.294592 | − | 0.955623i | \(-0.404816\pi\) |
−0.388592 | + | 0.921410i | \(0.627038\pi\) | |||||||
\(762\) | 22.6033 | + | 6.36658i | 0.818831 | + | 0.230637i | ||||
\(763\) | 54.6869 | + | 9.64278i | 1.97980 | + | 0.349092i | ||||
\(764\) | −21.6289 | + | 15.2056i | −0.782507 | + | 0.550121i | ||||
\(765\) | 18.8476 | + | 13.9819i | 0.681435 | + | 0.505517i | ||||
\(766\) | 17.8468 | − | 5.64558i | 0.644830 | − | 0.203983i | ||||
\(767\) | −55.2197 | + | 20.0983i | −1.99387 | + | 0.725708i | ||||
\(768\) | 27.4974 | − | 3.44825i | 0.992229 | − | 0.124428i | ||||
\(769\) | 3.61913 | − | 3.03681i | 0.130509 | − | 0.109510i | −0.575197 | − | 0.818015i | \(-0.695074\pi\) |
0.705706 | + | 0.708505i | \(0.250630\pi\) | |||||||
\(770\) | −4.34614 | − | 8.32966i | −0.156624 | − | 0.300180i | ||||
\(771\) | −12.9370 | − | 43.0796i | −0.465914 | − | 1.55147i | ||||
\(772\) | −0.352674 | − | 0.0301844i | −0.0126930 | − | 0.00108636i | ||||
\(773\) | 17.3435 | − | 10.0133i | 0.623803 | − | 0.360153i | −0.154545 | − | 0.987986i | \(-0.549391\pi\) |
0.778348 | + | 0.627833i | \(0.216058\pi\) | |||||||
\(774\) | −1.04507 | − | 5.38417i | −0.0375642 | − | 0.193530i | ||||
\(775\) | −7.04567 | + | 12.2035i | −0.253088 | + | 0.438361i | ||||
\(776\) | −21.5294 | − | 23.3621i | −0.772861 | − | 0.838651i | ||||
\(777\) | 7.18049 | + | 0.412109i | 0.257599 | + | 0.0147843i | ||||
\(778\) | −28.7012 | − | 18.2467i | −1.02899 | − | 0.654175i | ||||
\(779\) | −2.66971 | + | 0.470742i | −0.0956522 | + | 0.0168661i | ||||
\(780\) | 74.3394 | + | 24.4080i | 2.66178 | + | 0.873946i | ||||
\(781\) | −2.90577 | + | 3.46296i | −0.103977 | + | 0.123914i | ||||
\(782\) | −4.68614 | + | 21.2326i | −0.167576 | + | 0.759276i | ||||
\(783\) | 6.16759 | − | 17.0803i | 0.220412 | − | 0.610401i | ||||
\(784\) | 12.0729 | + | 14.2781i | 0.431174 | + | 0.509932i | ||||
\(785\) | 31.1567 | + | 26.1436i | 1.11203 | + | 0.933105i | ||||
\(786\) | −0.415559 | − | 0.921677i | −0.0148225 | − | 0.0328751i | ||||
\(787\) | −41.5062 | + | 7.31867i | −1.47954 | + | 0.260882i | −0.854393 | − | 0.519627i | \(-0.826071\pi\) |
−0.625144 | + | 0.780510i | \(0.714960\pi\) | |||||||
\(788\) | −1.37111 | + | 1.37630i | −0.0488439 | + | 0.0490286i | ||||
\(789\) | 20.1422 | + | 13.2233i | 0.717081 | + | 0.470762i | ||||
\(790\) | −9.13673 | + | 22.1170i | −0.325070 | + | 0.786888i | ||||
\(791\) | −20.7940 | + | 36.0163i | −0.739350 | + | 1.28059i | ||||
\(792\) | 4.87725 | + | 0.333126i | 0.173306 | + | 0.0118371i | ||||
\(793\) | −15.8842 | − | 27.5122i | −0.564063 | − | 0.976986i | ||||
\(794\) | 46.4331 | − | 6.15761i | 1.64785 | − | 0.218525i | ||||
\(795\) | 37.4913 | − | 39.8060i | 1.32968 | − | 1.41177i | ||||
\(796\) | 7.91372 | − | 2.13649i | 0.280494 | − | 0.0757258i | ||||
\(797\) | 32.1711 | + | 38.3400i | 1.13956 | + | 1.35807i | 0.924369 | + | 0.381500i | \(0.124592\pi\) |
0.215189 | + | 0.976572i | \(0.430963\pi\) | |||||||
\(798\) | 3.07570 | + | 1.48227i | 0.108879 | + | 0.0524717i | ||||
\(799\) | −6.86134 | + | 2.49732i | −0.242737 | + | 0.0883489i | ||||
\(800\) | 30.5766 | + | 19.2772i | 1.08104 | + | 0.681553i | ||||
\(801\) | 16.7200 | − | 3.99265i | 0.590771 | − | 0.141073i | ||||
\(802\) | 11.6928 | + | 10.6942i | 0.412888 | + | 0.377626i | ||||
\(803\) | −0.728294 | − | 0.128418i | −0.0257009 | − | 0.00453177i | ||||
\(804\) | 1.65826 | + | 52.0904i | 0.0584823 | + | 1.83709i | ||||
\(805\) | −26.1611 | + | 71.8771i | −0.922059 | + | 2.53334i | ||||
\(806\) | 0.890787 | − | 20.8539i | 0.0313766 | − | 0.734547i | ||||
\(807\) | −6.19534 | − | 2.66618i | −0.218086 | − | 0.0938541i | ||||
\(808\) | 7.70655 | + | 34.3022i | 0.271116 | + | 1.20675i | ||||
\(809\) | 7.89082 | 0.277426 | 0.138713 | − | 0.990333i | \(-0.455703\pi\) | ||||
0.138713 | + | 0.990333i | \(0.455703\pi\) | |||||||
\(810\) | −41.6028 | + | 10.6934i | −1.46177 | + | 0.375727i | ||||
\(811\) | 16.9433i | 0.594960i | 0.954728 | + | 0.297480i | \(0.0961461\pi\) | ||||
−0.954728 | + | 0.297480i | \(0.903854\pi\) | |||||||
\(812\) | 21.6257 | − | 10.1340i | 0.758913 | − | 0.355632i | ||||
\(813\) | 18.5552 | − | 43.1163i | 0.650760 | − | 1.51215i | ||||
\(814\) | 0.989297 | + | 0.0422584i | 0.0346748 | + | 0.00148116i | ||||
\(815\) | −42.4871 | − | 15.4641i | −1.48826 | − | 0.541682i | ||||
\(816\) | −14.7745 | − | 6.29228i | −0.517212 | − | 0.220274i | ||||
\(817\) | 0.0915762 | − | 0.519355i | 0.00320385 | − | 0.0181699i | ||||
\(818\) | 11.7191 | + | 10.7183i | 0.409749 | + | 0.374755i | ||||
\(819\) | −65.7541 | − | 19.5641i | −2.29764 | − | 0.683625i | ||||
\(820\) | 44.6758 | − | 3.99359i | 1.56015 | − | 0.139462i | ||||
\(821\) | 16.2209 | + | 44.5665i | 0.566112 | + | 1.55538i | 0.810522 | + | 0.585708i | \(0.199184\pi\) |
−0.244410 | + | 0.969672i | \(0.578594\pi\) | |||||||
\(822\) | 16.7594 | − | 34.7757i | 0.584550 | − | 1.21294i | ||||
\(823\) | −3.65996 | + | 3.07107i | −0.127578 | + | 0.107051i | −0.704344 | − | 0.709858i | \(-0.748759\pi\) |
0.576766 | + | 0.816909i | \(0.304314\pi\) | |||||||
\(824\) | 2.07661 | + | 44.6608i | 0.0723422 | + | 1.55583i | ||||
\(825\) | 4.64163 | + | 4.37172i | 0.161601 | + | 0.152204i | ||||
\(826\) | 42.0586 | − | 5.57750i | 1.46341 | − | 0.194066i | ||||
\(827\) | 25.0451 | − | 14.4598i | 0.870903 | − | 0.502816i | 0.00325451 | − | 0.999995i | \(-0.498964\pi\) |
0.867648 | + | 0.497179i | \(0.165631\pi\) | |||||||
\(828\) | −24.7968 | − | 31.1308i | −0.861749 | − | 1.08187i | ||||
\(829\) | 17.1833 | + | 9.92077i | 0.596800 | + | 0.344563i | 0.767782 | − | 0.640711i | \(-0.221361\pi\) |
−0.170982 | + | 0.985274i | \(0.554694\pi\) | |||||||
\(830\) | 45.7841 | + | 18.9138i | 1.58919 | + | 0.656508i | ||||
\(831\) | −6.80883 | + | 10.3715i | −0.236196 | + | 0.359782i | ||||
\(832\) | −53.3635 | − | 4.36442i | −1.85005 | − | 0.151309i | ||||
\(833\) | −1.88146 | − | 10.6703i | −0.0651888 | − | 0.369704i | ||||
\(834\) | −2.22299 | − | 4.93042i | −0.0769758 | − | 0.170726i | ||||
\(835\) | 14.6933 | − | 17.5108i | 0.508482 | − | 0.605986i | ||||
\(836\) | 0.426389 | + | 0.197850i | 0.0147470 | + | 0.00684278i | ||||
\(837\) | 5.75473 | + | 9.90922i | 0.198913 | + | 0.342513i | ||||
\(838\) | −19.2429 | − | 4.24701i | −0.664737 | − | 0.146711i | ||||
\(839\) | 26.2638 | + | 22.0379i | 0.906725 | + | 0.760833i | 0.971493 | − | 0.237067i | \(-0.0761862\pi\) |
−0.0647677 | + | 0.997900i | \(0.520631\pi\) | |||||||
\(840\) | −48.6132 | − | 28.7757i | −1.67732 | − | 0.992854i | ||||
\(841\) | 2.91487 | + | 16.5310i | 0.100513 | + | 0.570036i | ||||
\(842\) | 14.1910 | + | 9.02187i | 0.489055 | + | 0.310914i | ||||
\(843\) | −0.0769808 | + | 1.34129i | −0.00265136 | + | 0.0461966i | ||||
\(844\) | −6.15574 | − | 4.29300i | −0.211889 | − | 0.147771i | ||||
\(845\) | −92.9203 | − | 53.6476i | −3.19656 | − | 1.84553i | ||||
\(846\) | 4.35465 | − | 12.6357i | 0.149716 | − | 0.434426i | ||||
\(847\) | −18.2253 | − | 31.5672i | −0.626230 | − | 1.08466i | ||||
\(848\) | −18.5868 | + | 32.4757i | −0.638272 | + | 1.11522i | ||||
\(849\) | 2.53610 | − | 0.761601i | 0.0870387 | − | 0.0261381i | ||||
\(850\) | −9.68904 | − | 18.5697i | −0.332331 | − | 0.636935i | ||||
\(851\) | −5.18183 | − | 6.17546i | −0.177631 | − | 0.211692i | ||||
\(852\) | −3.86582 | + | 26.9046i | −0.132441 | + | 0.921738i | ||||
\(853\) | −11.5939 | − | 31.8539i | −0.396967 | − | 1.09066i | −0.963754 | − | 0.266793i | \(-0.914036\pi\) |
0.566787 | − | 0.823865i | \(-0.308186\pi\) | |||||||
\(854\) | 6.91777 | + | 21.8684i | 0.236721 | + | 0.748321i | ||||
\(855\) | −4.10315 | − | 0.472540i | −0.140325 | − | 0.0161605i | ||||
\(856\) | −6.38135 | + | 2.66443i | −0.218110 | + | 0.0910683i | ||||
\(857\) | 0.670084 | − | 3.80024i | 0.0228896 | − | 0.129814i | −0.971222 | − | 0.238177i | \(-0.923450\pi\) |
0.994111 | + | 0.108364i | \(0.0345611\pi\) | |||||||
\(858\) | −9.09115 | − | 2.56067i | −0.310367 | − | 0.0874197i | ||||
\(859\) | 7.37600 | − | 20.2654i | 0.251666 | − | 0.691446i | −0.747951 | − | 0.663754i | \(-0.768962\pi\) |
0.999617 | − | 0.0276917i | \(-0.00881567\pi\) | |||||||
\(860\) | −2.24247 | + | 8.43263i | −0.0764676 | + | 0.287550i | ||||
\(861\) | −39.0574 | + | 4.59872i | −1.33107 | + | 0.156724i | ||||
\(862\) | −31.6734 | + | 24.3514i | −1.07880 | + | 0.829412i | ||||
\(863\) | 30.2497 | 1.02971 | 0.514857 | − | 0.857276i | \(-0.327845\pi\) | ||||
0.514857 | + | 0.857276i | \(0.327845\pi\) | |||||||
\(864\) | 25.9735 | − | 13.7615i | 0.883635 | − | 0.468177i | ||||
\(865\) | −5.68815 | −0.193403 | ||||||||
\(866\) | −31.2270 | + | 24.0082i | −1.06114 | + | 0.815830i | ||||
\(867\) | −12.0401 | − | 16.1441i | −0.408904 | − | 0.548282i | ||||
\(868\) | −3.87295 | + | 14.5639i | −0.131456 | + | 0.494332i | ||||
\(869\) | 0.987962 | − | 2.71440i | 0.0335143 | − | 0.0920799i | ||||
\(870\) | −20.6878 | + | 20.1668i | −0.701383 | + | 0.683718i | ||||
\(871\) | 17.4847 | − | 99.1608i | 0.592447 | − | 3.35994i | ||||
\(872\) | 42.4191 | − | 17.7114i | 1.43649 | − | 0.599784i | ||||
\(873\) | −30.1381 | − | 15.0720i | −1.02002 | − | 0.510109i | ||||
\(874\) | −1.15420 | − | 3.64865i | −0.0390414 | − | 0.123417i | ||||
\(875\) | −5.48119 | − | 15.0594i | −0.185298 | − | 0.509102i | ||||
\(876\) | −4.12791 | + | 1.65300i | −0.139469 | + | 0.0558497i | ||||
\(877\) | 10.0265 | + | 11.9491i | 0.338571 | + | 0.403493i | 0.908286 | − | 0.418349i | \(-0.137391\pi\) |
−0.569715 | + | 0.821842i | \(0.692947\pi\) | |||||||
\(878\) | 8.03357 | + | 15.3969i | 0.271120 | + | 0.519619i | ||||
\(879\) | −6.32982 | + | 26.8088i | −0.213499 | + | 0.904239i | ||||
\(880\) | −6.75010 | − | 3.86328i | −0.227546 | − | 0.130231i | ||||
\(881\) | 18.2832 | + | 31.6674i | 0.615977 | + | 1.06690i | 0.990212 | + | 0.139569i | \(0.0445719\pi\) |
−0.374235 | + | 0.927334i | \(0.622095\pi\) | |||||||
\(882\) | 17.3431 | + | 9.61958i | 0.583974 | + | 0.323908i | ||||
\(883\) | −26.1355 | − | 15.0893i | −0.879529 | − | 0.507796i | −0.00902592 | − | 0.999959i | \(-0.502873\pi\) |
−0.870503 | + | 0.492163i | \(0.836206\pi\) | |||||||
\(884\) | 25.4482 | + | 17.7476i | 0.855916 | + | 0.596915i | ||||
\(885\) | −45.8457 | + | 23.0732i | −1.54109 | + | 0.775598i | ||||
\(886\) | −25.2170 | − | 16.0316i | −0.847181 | − | 0.538591i | ||||
\(887\) | −7.16882 | − | 40.6564i | −0.240705 | − | 1.36511i | −0.830258 | − | 0.557379i | \(-0.811807\pi\) |
0.589553 | − | 0.807730i | \(-0.299304\pi\) | |||||||
\(888\) | 5.18818 | − | 2.92069i | 0.174104 | − | 0.0980120i | ||||
\(889\) | 25.0927 | + | 21.0553i | 0.841584 | + | 0.706172i | ||||
\(890\) | −26.7055 | − | 5.89404i | −0.895171 | − | 0.197569i | ||||
\(891\) | 4.96226 | − | 1.50395i | 0.166242 | − | 0.0503843i | ||||
\(892\) | −7.11472 | − | 3.30132i | −0.238219 | − | 0.110536i | ||||
\(893\) | 0.826041 | − | 0.984438i | 0.0276424 | − | 0.0329430i | ||||
\(894\) | −9.79262 | + | 13.6125i | −0.327514 | + | 0.455269i | ||||
\(895\) | 6.98289 | + | 39.6019i | 0.233412 | + | 1.32375i | ||||
\(896\) | 36.9435 | + | 11.3805i | 1.23420 | + | 0.380197i | ||||
\(897\) | 34.5680 | + | 68.6854i | 1.15419 | + | 2.29334i | ||||
\(898\) | 36.2603 | + | 14.9794i | 1.21002 | + | 0.499870i | ||||
\(899\) | 6.67459 | + | 3.85358i | 0.222610 | + | 0.128524i | ||||
\(900\) | 37.5742 | + | 7.61820i | 1.25247 | + | 0.253940i | ||||
\(901\) | 18.7778 | − | 10.8414i | 0.625578 | − | 0.361178i | ||||
\(902\) | −5.36737 | + | 0.711781i | −0.178714 | + | 0.0236997i | ||||
\(903\) | 1.75803 | − | 7.44583i | 0.0585036 | − | 0.247782i | ||||
\(904\) | 1.59902 | + | 34.3894i | 0.0531826 | + | 1.14378i | ||||
\(905\) | −42.6973 | + | 35.8273i | −1.41931 | + | 1.19094i | ||||
\(906\) | −16.2727 | − | 23.8824i | −0.540625 | − | 0.793440i | ||||
\(907\) | −13.9229 | − | 38.2529i | −0.462303 | − | 1.27017i | −0.923749 | − | 0.382999i | \(-0.874891\pi\) |
0.461446 | − | 0.887168i | \(-0.347331\pi\) | |||||||
\(908\) | −23.5733 | + | 2.10723i | −0.782308 | + | 0.0699310i | ||||
\(909\) | 20.5439 | + | 31.1205i | 0.681399 | + | 1.03220i | ||||
\(910\) | 80.5379 | + | 73.6597i | 2.66980 | + | 2.44179i | ||||
\(911\) | 7.42318 | − | 42.0989i | 0.245941 | − | 1.39480i | −0.572357 | − | 0.820005i | \(-0.693971\pi\) |
0.818298 | − | 0.574795i | \(-0.194918\pi\) | |||||||
\(912\) | 2.80565 | − | 0.341086i | 0.0929045 | − | 0.0112945i | ||||
\(913\) | −5.61905 | − | 2.04517i | −0.185963 | − | 0.0676852i | ||||
\(914\) | −48.1227 | − | 2.05559i | −1.59176 | − | 0.0679928i | ||||
\(915\) | −16.5880 | − | 22.2422i | −0.548383 | − | 0.735304i | ||||
\(916\) | −19.1926 | + | 8.99380i | −0.634142 | + | 0.297163i | ||||
\(917\) | − | 1.41029i | − | 0.0465717i | ||||||
\(918\) | −17.0190 | − | 0.683629i | −0.561712 | − | 0.0225631i | ||||
\(919\) | −4.00742 | −0.132193 | −0.0660963 | − | 0.997813i | \(-0.521054\pi\) | ||||
−0.0660963 | + | 0.997813i | \(0.521054\pi\) | |||||||
\(920\) | 13.8796 | + | 61.7785i | 0.457595 | + | 2.03678i | ||||
\(921\) | −0.0866677 | − | 0.736078i | −0.00285580 | − | 0.0242546i | ||||
\(922\) | −0.839029 | + | 19.6422i | −0.0276319 | + | 0.646882i | ||||
\(923\) | 17.9609 | − | 49.3471i | 0.591189 | − | 1.62428i | ||||
\(924\) | 6.01105 | + | 3.21994i | 0.197749 | + | 0.105928i | ||||
\(925\) | 7.64760 | + | 1.34848i | 0.251452 | + | 0.0443377i | ||||
\(926\) | 19.3963 | + | 17.7398i | 0.637402 | + | 0.582966i | ||||
\(927\) | 18.8563 | + | 43.5109i | 0.619323 | + | 1.42909i | ||||
\(928\) | 10.5435 | − | 16.7236i | 0.346109 | − | 0.548980i | ||||
\(929\) | 46.5451 | − | 16.9410i | 1.52710 | − | 0.555818i | 0.564188 | − | 0.825646i | \(-0.309189\pi\) |
0.962908 | + | 0.269829i | \(0.0869671\pi\) | |||||||
\(930\) | −1.35716 | − | 18.1800i | −0.0445030 | − | 0.596144i | ||||
\(931\) | 1.22576 | + | 1.46080i | 0.0401725 | + | 0.0478758i | ||||
\(932\) | −2.18191 | + | 0.589056i | −0.0714708 | + | 0.0192952i | ||||
\(933\) | −5.50276 | − | 18.3239i | −0.180152 | − | 0.599899i | ||||
\(934\) | −13.5028 | + | 1.79065i | −0.441826 | + | 0.0585917i | ||||
\(935\) | 2.25339 | + | 3.90298i | 0.0736936 | + | 0.127641i | ||||
\(936\) | −54.5642 | + | 15.7416i | −1.78349 | + | 0.514529i | ||||
\(937\) | 4.84280 | − | 8.38798i | 0.158207 | − | 0.274023i | −0.776015 | − | 0.630715i | \(-0.782762\pi\) |
0.934222 | + | 0.356691i | \(0.116095\pi\) | |||||||
\(938\) | −27.7569 | + | 67.1902i | −0.906293 | + | 2.19384i | ||||
\(939\) | −2.75855 | + | 48.0642i | −0.0900218 | + | 1.56852i | ||||
\(940\) | −15.0067 | + | 15.0635i | −0.489466 | + | 0.491317i | ||||
\(941\) | 5.10500 | − | 0.900150i | 0.166418 | − | 0.0293440i | −0.0898181 | − | 0.995958i | \(-0.528629\pi\) |
0.256236 | + | 0.966614i | \(0.417517\pi\) | |||||||
\(942\) | −29.3724 | − | 2.94766i | −0.957005 | − | 0.0960398i | ||||
\(943\) | 33.7672 | + | 28.3340i | 1.09961 | + | 0.922682i | ||||
\(944\) | 26.8188 | − | 22.6767i | 0.872877 | − | 0.738063i | ||||
\(945\) | −59.0342 | − | 10.2546i | −1.92038 | − | 0.333583i | ||||
\(946\) | 0.227003 | − | 1.02854i | 0.00738051 | − | 0.0334406i | ||||
\(947\) | −19.6357 | + | 23.4009i | −0.638075 | + | 0.760428i | −0.984065 | − | 0.177811i | \(-0.943099\pi\) |
0.345990 | + | 0.938238i | \(0.387543\pi\) | |||||||
\(948\) | −3.55870 | − | 16.9999i | −0.115581 | − | 0.552131i | ||||
\(949\) | 8.46036 | − | 1.49179i | 0.274635 | − | 0.0484256i | ||||
\(950\) | 3.11093 | + | 1.97776i | 0.100932 | + | 0.0641669i | ||||
\(951\) | −3.34003 | + | 5.08766i | −0.108308 | + | 0.164979i | ||||
\(952\) | −15.1801 | − | 16.4723i | −0.491989 | − | 0.533870i | ||||
\(953\) | 8.71927 | − | 15.1022i | 0.282445 | − | 0.489209i | −0.689542 | − | 0.724246i | \(-0.742188\pi\) |
0.971986 | + | 0.235037i | \(0.0755213\pi\) | |||||||
\(954\) | −6.21919 | + | 39.1979i | −0.201354 | + | 1.26908i | ||||
\(955\) | 38.6370 | − | 22.3071i | 1.25027 | − | 0.721841i | ||||
\(956\) | 11.5659 | + | 0.989894i | 0.374068 | + | 0.0320155i | ||||
\(957\) | 2.39108 | − | 2.53871i | 0.0772928 | − | 0.0820648i | ||||
\(958\) | −19.0418 | − | 36.4949i | −0.615214 | − | 1.17910i | ||||
\(959\) | 41.2500 | − | 34.6128i | 1.33203 | − | 1.11771i | ||||
\(960\) | −46.7340 | + | 1.66433i | −1.50833 | + | 0.0537161i | ||||
\(961\) | 24.5605 | − | 8.93927i | 0.792273 | − | 0.288364i | ||||
\(962\) | −10.9672 | + | 3.46932i | −0.353596 | + | 0.111855i | ||||
\(963\) | −5.32656 | + | 5.04244i | −0.171646 | + | 0.162490i | ||||
\(964\) | 48.2641 | − | 33.9308i | 1.55448 | − | 1.09284i | ||||
\(965\) | 0.588217 | + | 0.103718i | 0.0189354 | + | 0.00333882i | ||||
\(966\) | −13.6837 | − | 53.8038i | −0.440266 | − | 1.73111i | ||||
\(967\) | −46.2859 | − | 16.8467i | −1.48845 | − | 0.541752i | −0.535411 | − | 0.844592i | \(-0.679843\pi\) |
−0.953042 | + | 0.302839i | \(0.902065\pi\) | |||||||
\(968\) | −26.8039 | − | 13.8569i | −0.861510 | − | 0.445378i | ||||
\(969\) | −1.50436 | − | 0.647406i | −0.0483270 | − | 0.0207977i | ||||
\(970\) | 32.6753 | + | 42.5002i | 1.04914 | + | 1.36460i | ||||
\(971\) | − | 13.2201i | − | 0.424253i | −0.977242 | − | 0.212126i | \(-0.931961\pi\) | ||
0.977242 | − | 0.212126i | \(-0.0680388\pi\) | |||||||
\(972\) | 20.5832 | − | 23.4164i | 0.660208 | − | 0.751083i | ||||
\(973\) | − | 7.54418i | − | 0.241855i | ||||||
\(974\) | −14.7353 | + | 11.3289i | −0.472150 | + | 0.363002i | ||||
\(975\) | −68.0381 | − | 29.2804i | −2.17896 | − | 0.937723i | ||||
\(976\) | 14.5907 | + | 12.1495i | 0.467037 | + | 0.388896i | ||||
\(977\) | −22.1311 | − | 8.05506i | −0.708037 | − | 0.257704i | −0.0371983 | − | 0.999308i | \(-0.511843\pi\) |
−0.670838 | + | 0.741604i | \(0.734066\pi\) | |||||||
\(978\) | 31.8039 | − | 8.08855i | 1.01698 | − | 0.258643i | ||||
\(979\) | 3.25108 | + | 0.573253i | 0.103905 | + | 0.0183212i | ||||
\(980\) | −18.1461 | − | 25.8116i | −0.579657 | − | 0.824520i | ||||
\(981\) | 35.4075 | − | 33.5189i | 1.13048 | − | 1.07018i | ||||
\(982\) | −5.01267 | − | 15.8460i | −0.159961 | − | 0.505667i | ||||
\(983\) | −44.1620 | + | 16.0737i | −1.40855 | + | 0.512670i | −0.930704 | − | 0.365773i | \(-0.880805\pi\) |
−0.477846 | + | 0.878444i | \(0.658582\pi\) | |||||||
\(984\) | −25.1645 | + | 20.6538i | −0.802216 | + | 0.658418i | ||||
\(985\) | 2.51126 | − | 2.10719i | 0.0800153 | − | 0.0671408i | ||||
\(986\) | −10.1566 | + | 5.29936i | −0.323451 | + | 0.168766i | ||||
\(987\) | 12.7821 | − | 13.5712i | 0.406858 | − | 0.431977i | ||||
\(988\) | −5.44060 | − | 0.465646i | −0.173088 | − | 0.0148142i | ||||
\(989\) | −7.42628 | + | 4.28756i | −0.236142 | + | 0.136337i | ||||
\(990\) | −8.14732 | − | 1.29267i | −0.258939 | − | 0.0410836i | ||||
\(991\) | −10.5119 | + | 18.2072i | −0.333922 | + | 0.578370i | −0.983277 | − | 0.182115i | \(-0.941706\pi\) |
0.649355 | + | 0.760486i | \(0.275039\pi\) | |||||||
\(992\) | 3.80740 | + | 11.8798i | 0.120885 | + | 0.377184i | ||||
\(993\) | 16.5566 | − | 25.2197i | 0.525409 | − | 0.800322i | ||||
\(994\) | −20.3414 | + | 31.9962i | −0.645190 | + | 1.01486i | ||||
\(995\) | −13.6219 | + | 2.40190i | −0.431842 | + | 0.0761454i | ||||
\(996\) | −35.1913 | + | 7.36681i | −1.11508 | + | 0.233426i | ||||
\(997\) | −1.15413 | + | 1.37543i | −0.0365515 | + | 0.0435604i | −0.784011 | − | 0.620748i | \(-0.786829\pi\) |
0.747459 | + | 0.664308i | \(0.231274\pi\) | |||||||
\(998\) | 49.9718 | + | 11.0290i | 1.58183 | + | 0.349117i | ||||
\(999\) | 4.04686 | − | 4.84784i | 0.128037 | − | 0.153379i |
(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 | 216.2.t.a.205.27 | yes | 204 | |
3.2 | odd | 2 | 648.2.t.a.613.8 | 204 | |||
4.3 | odd | 2 | 864.2.bf.a.529.13 | 204 | |||
8.3 | odd | 2 | 864.2.bf.a.529.22 | 204 | |||
8.5 | even | 2 | inner | 216.2.t.a.205.12 | yes | 204 | |
24.5 | odd | 2 | 648.2.t.a.613.23 | 204 | |||
27.5 | odd | 18 | 648.2.t.a.37.23 | 204 | |||
27.22 | even | 9 | inner | 216.2.t.a.157.12 | ✓ | 204 | |
108.103 | odd | 18 | 864.2.bf.a.49.22 | 204 | |||
216.5 | odd | 18 | 648.2.t.a.37.8 | 204 | |||
216.157 | even | 18 | inner | 216.2.t.a.157.27 | yes | 204 | |
216.211 | odd | 18 | 864.2.bf.a.49.13 | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.t.a.157.12 | ✓ | 204 | 27.22 | even | 9 | inner | |
216.2.t.a.157.27 | yes | 204 | 216.157 | even | 18 | inner | |
216.2.t.a.205.12 | yes | 204 | 8.5 | even | 2 | inner | |
216.2.t.a.205.27 | yes | 204 | 1.1 | even | 1 | trivial | |
648.2.t.a.37.8 | 204 | 216.5 | odd | 18 | |||
648.2.t.a.37.23 | 204 | 27.5 | odd | 18 | |||
648.2.t.a.613.8 | 204 | 3.2 | odd | 2 | |||
648.2.t.a.613.23 | 204 | 24.5 | odd | 2 | |||
864.2.bf.a.49.13 | 204 | 216.211 | odd | 18 | |||
864.2.bf.a.49.22 | 204 | 108.103 | odd | 18 | |||
864.2.bf.a.529.13 | 204 | 4.3 | odd | 2 | |||
864.2.bf.a.529.22 | 204 | 8.3 | odd | 2 |