Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [531,2,Mod(4,531)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(531, base_ring=CyclotomicField(174))
chi = DirichletCharacter(H, H._module([58, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("531.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 531 = 3^{2} \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 531.m (of order \(87\), degree \(56\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.24005634733\) |
Analytic rank: | \(0\) |
Dimension: | \(3248\) |
Relative dimension: | \(58\) over \(\Q(\zeta_{87})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{87}]$ |
Embedding invariants
Embedding label | 130.34 | ||
Character | \(\chi\) | \(=\) | 531.130 |
Dual form | 531.2.m.a.241.34 |
$q$-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 \(\left(\mathbb{Z}/531\mathbb{Z}\right)^\times\).
\(n\) | \(119\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{26}{29}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.437333 | + | 0.385280i | 0.309241 | + | 0.272434i | 0.801475 | − | 0.598029i | \(-0.204049\pi\) |
−0.492233 | + | 0.870463i | \(0.663819\pi\) | |||||||
\(3\) | 1.25499 | − | 1.19374i | 0.724567 | − | 0.689205i | ||||
\(4\) | −0.209280 | − | 1.64706i | −0.104640 | − | 0.823528i | ||||
\(5\) | 1.06633 | + | 0.155102i | 0.476876 | + | 0.0693635i | 0.378137 | − | 0.925750i | \(-0.376565\pi\) |
0.0987394 | + | 0.995113i | \(0.468519\pi\) | |||||||
\(6\) | 1.00877 | − | 0.0385391i | 0.411829 | − | 0.0157335i | ||||
\(7\) | 0.439486 | + | 4.85504i | 0.166110 | + | 1.83503i | 0.470402 | + | 0.882452i | \(0.344109\pi\) |
−0.304292 | + | 0.952579i | \(0.598420\pi\) | |||||||
\(8\) | 1.19722 | − | 1.76576i | 0.423280 | − | 0.624291i | ||||
\(9\) | 0.149982 | − | 2.99625i | 0.0499941 | − | 0.998750i | ||||
\(10\) | 0.406583 | + | 0.478666i | 0.128573 | + | 0.151367i | ||||
\(11\) | 2.37991 | − | 2.42327i | 0.717571 | − | 0.730645i | −0.254050 | − | 0.967191i | \(-0.581763\pi\) |
0.971620 | + | 0.236546i | \(0.0760155\pi\) | |||||||
\(12\) | −2.22880 | − | 1.81721i | −0.643398 | − | 0.524583i | ||||
\(13\) | 4.40111 | + | 0.158994i | 1.22065 | + | 0.0440971i | 0.638911 | − | 0.769281i | \(-0.279385\pi\) |
0.581736 | + | 0.813378i | \(0.302374\pi\) | |||||||
\(14\) | −1.67835 | + | 2.29259i | −0.448557 | + | 0.612721i | ||||
\(15\) | 1.52338 | − | 1.07826i | 0.393334 | − | 0.278407i | ||||
\(16\) | −2.01118 | + | 0.519482i | −0.502796 | + | 0.129870i | ||||
\(17\) | −3.35498 | + | 1.55218i | −0.813703 | + | 0.376459i | −0.782187 | − | 0.623044i | \(-0.785896\pi\) |
−0.0315162 | + | 0.999503i | \(0.510034\pi\) | |||||||
\(18\) | 1.21999 | − | 1.25257i | 0.287554 | − | 0.295234i | ||||
\(19\) | −5.54126 | − | 1.21972i | −1.27125 | − | 0.279824i | −0.472418 | − | 0.881375i | \(-0.656619\pi\) |
−0.798834 | + | 0.601551i | \(0.794550\pi\) | |||||||
\(20\) | 0.0322998 | − | 1.78876i | 0.00722246 | − | 0.399979i | ||||
\(21\) | 6.34719 | + | 5.56837i | 1.38507 | + | 1.21512i | ||||
\(22\) | 1.97445 | − | 0.142845i | 0.420955 | − | 0.0304546i | ||||
\(23\) | 4.79758 | + | 1.81186i | 1.00036 | + | 0.377800i | 0.798749 | − | 0.601665i | \(-0.205496\pi\) |
0.201616 | + | 0.979465i | \(0.435381\pi\) | |||||||
\(24\) | −0.605366 | − | 3.64517i | −0.123570 | − | 0.744067i | ||||
\(25\) | −3.67982 | − | 1.09363i | −0.735963 | − | 0.218725i | ||||
\(26\) | 1.86349 | + | 1.76519i | 0.365461 | + | 0.346183i | ||||
\(27\) | −3.38851 | − | 3.93929i | −0.652119 | − | 0.758117i | ||||
\(28\) | 7.90454 | − | 1.73992i | 1.49382 | − | 0.328814i | ||||
\(29\) | 1.38007 | + | 6.85717i | 0.256273 | + | 1.27335i | 0.873602 | + | 0.486640i | \(0.161778\pi\) |
−0.617329 | + | 0.786705i | \(0.711785\pi\) | |||||||
\(30\) | 1.08166 | + | 0.115367i | 0.197483 | + | 0.0210630i | ||||
\(31\) | 1.84843 | − | 5.83185i | 0.331987 | − | 1.04743i | −0.630519 | − | 0.776174i | \(-0.717158\pi\) |
0.962507 | − | 0.271258i | \(-0.0874397\pi\) | |||||||
\(32\) | −4.88488 | − | 2.47787i | −0.863532 | − | 0.438030i | ||||
\(33\) | 0.0940045 | − | 5.88217i | 0.0163641 | − | 1.02395i | ||||
\(34\) | −2.06527 | − | 0.613789i | −0.354191 | − | 0.105264i | ||||
\(35\) | −0.284388 | + | 5.24522i | −0.0480703 | + | 0.886604i | ||||
\(36\) | −4.96638 | + | 0.380026i | −0.827730 | + | 0.0633377i | ||||
\(37\) | −3.46405 | − | 5.10909i | −0.569487 | − | 0.839930i | 0.428488 | − | 0.903548i | \(-0.359047\pi\) |
−0.997974 | + | 0.0636177i | \(0.979736\pi\) | |||||||
\(38\) | −1.95344 | − | 2.66836i | −0.316890 | − | 0.432866i | ||||
\(39\) | 5.71313 | − | 5.05423i | 0.914832 | − | 0.809324i | ||||
\(40\) | 1.55050 | − | 1.69719i | 0.245155 | − | 0.268349i | ||||
\(41\) | 2.99388 | + | 2.45137i | 0.467566 | + | 0.382839i | 0.837693 | − | 0.546142i | \(-0.183904\pi\) |
−0.370127 | + | 0.928981i | \(0.620686\pi\) | |||||||
\(42\) | 0.630449 | + | 4.88068i | 0.0972805 | + | 0.753105i | ||||
\(43\) | 2.03601 | − | 0.525895i | 0.310489 | − | 0.0801982i | −0.0916085 | − | 0.995795i | \(-0.529201\pi\) |
0.402097 | + | 0.915597i | \(0.368281\pi\) | |||||||
\(44\) | −4.48934 | − | 3.41271i | −0.676793 | − | 0.514485i | ||||
\(45\) | 0.624653 | − | 3.17172i | 0.0931178 | − | 0.472812i | ||||
\(46\) | 1.40006 | + | 2.64080i | 0.206428 | + | 0.389365i | ||||
\(47\) | −4.13373 | + | 0.601268i | −0.602967 | + | 0.0877039i | −0.438580 | − | 0.898692i | \(-0.644518\pi\) |
−0.164387 | + | 0.986396i | \(0.552564\pi\) | |||||||
\(48\) | −1.90388 | + | 3.05277i | −0.274802 | + | 0.440629i | ||||
\(49\) | −16.4920 | + | 3.01044i | −2.35600 | + | 0.430062i | ||||
\(50\) | −1.18795 | − | 1.89604i | −0.168002 | − | 0.268141i | ||||
\(51\) | −2.35756 | + | 5.95293i | −0.330125 | + | 0.833577i | ||||
\(52\) | −0.659192 | − | 7.28214i | −0.0914135 | − | 1.00985i | ||||
\(53\) | 1.51438 | − | 1.78287i | 0.208017 | − | 0.244896i | −0.648253 | − | 0.761425i | \(-0.724500\pi\) |
0.856270 | + | 0.516529i | \(0.172776\pi\) | |||||||
\(54\) | 0.0358249 | − | 3.02831i | 0.00487515 | − | 0.412100i | ||||
\(55\) | 2.91362 | − | 2.21488i | 0.392872 | − | 0.298654i | ||||
\(56\) | 9.09900 | + | 5.03650i | 1.21590 | + | 0.673031i | ||||
\(57\) | −8.41023 | + | 5.08407i | −1.11396 | + | 0.673402i | ||||
\(58\) | −2.03838 | + | 3.53058i | −0.267653 | + | 0.463588i | ||||
\(59\) | 7.20781 | + | 2.65471i | 0.938377 | + | 0.345614i | ||||
\(60\) | −2.09477 | − | 2.28343i | −0.270434 | − | 0.294789i | ||||
\(61\) | −2.65106 | − | 2.33552i | −0.339433 | − | 0.299033i | 0.474194 | − | 0.880421i | \(-0.342740\pi\) |
−0.813626 | + | 0.581388i | \(0.802510\pi\) | |||||||
\(62\) | 3.05528 | − | 1.83830i | 0.388021 | − | 0.233464i | ||||
\(63\) | 14.6128 | − | 0.588640i | 1.84104 | − | 0.0741617i | ||||
\(64\) | 0.356051 | + | 0.893620i | 0.0445064 | + | 0.111703i | ||||
\(65\) | 4.66836 | + | 0.852158i | 0.579039 | + | 0.105697i | ||||
\(66\) | 2.30739 | − | 2.53625i | 0.284021 | − | 0.312191i | ||||
\(67\) | 1.16421 | + | 2.40164i | 0.142231 | + | 0.293407i | 0.958923 | − | 0.283667i | \(-0.0915510\pi\) |
−0.816692 | + | 0.577073i | \(0.804195\pi\) | |||||||
\(68\) | 3.25866 | + | 5.20100i | 0.395170 | + | 0.630714i | ||||
\(69\) | 8.18379 | − | 3.45318i | 0.985212 | − | 0.415714i | ||||
\(70\) | −2.14525 | + | 2.18434i | −0.256407 | + | 0.261079i | ||||
\(71\) | −4.69360 | + | 11.7800i | −0.557028 | + | 1.39803i | 0.333346 | + | 0.942804i | \(0.391822\pi\) |
−0.890374 | + | 0.455230i | \(0.849557\pi\) | |||||||
\(72\) | −5.11110 | − | 3.85199i | −0.602349 | − | 0.453962i | ||||
\(73\) | −5.91434 | − | 0.643223i | −0.692221 | − | 0.0752835i | −0.244755 | − | 0.969585i | \(-0.578708\pi\) |
−0.447465 | + | 0.894301i | \(0.647673\pi\) | |||||||
\(74\) | 0.453489 | − | 3.56901i | 0.0527171 | − | 0.414889i | ||||
\(75\) | −5.92362 | + | 3.02025i | −0.684001 | + | 0.348748i | ||||
\(76\) | −0.849277 | + | 9.38203i | −0.0974188 | + | 1.07619i | ||||
\(77\) | 12.8110 | + | 10.4896i | 1.45995 | + | 1.19540i | ||||
\(78\) | 4.44583 | − | 0.00922613i | 0.503392 | − | 0.00104465i | ||||
\(79\) | −0.281412 | + | 15.5846i | −0.0316613 | + | 1.75340i | 0.464868 | + | 0.885380i | \(0.346102\pi\) |
−0.496529 | + | 0.868020i | \(0.665392\pi\) | |||||||
\(80\) | −2.22515 | + | 0.242000i | −0.248780 | + | 0.0270564i | ||||
\(81\) | −8.95501 | − | 0.898768i | −0.995001 | − | 0.0998631i | ||||
\(82\) | 0.364860 | + | 2.22555i | 0.0402920 | + | 0.245771i | ||||
\(83\) | −12.4711 | + | 6.32603i | −1.36889 | + | 0.694372i | −0.974461 | − | 0.224557i | \(-0.927907\pi\) |
−0.394424 | + | 0.918928i | \(0.629056\pi\) | |||||||
\(84\) | 7.84308 | − | 11.6195i | 0.855750 | − | 1.26779i | ||||
\(85\) | −3.81825 | + | 1.13477i | −0.414148 | + | 0.123083i | ||||
\(86\) | 1.09303 | + | 0.554444i | 0.117865 | + | 0.0597873i | ||||
\(87\) | 9.91764 | + | 6.95822i | 1.06328 | + | 0.745999i | ||||
\(88\) | −1.42966 | − | 7.10354i | −0.152402 | − | 0.757240i | ||||
\(89\) | 7.68638 | + | 2.58984i | 0.814755 | + | 0.274523i | 0.695670 | − | 0.718361i | \(-0.255107\pi\) |
0.119085 | + | 0.992884i | \(0.462004\pi\) | |||||||
\(90\) | 1.49518 | − | 1.14643i | 0.157606 | − | 0.120844i | ||||
\(91\) | 1.16230 | + | 21.4374i | 0.121842 | + | 2.24725i | ||||
\(92\) | 1.98020 | − | 8.28107i | 0.206451 | − | 0.863361i | ||||
\(93\) | −4.64195 | − | 9.52543i | −0.481348 | − | 0.987741i | ||||
\(94\) | −2.03947 | − | 1.32969i | −0.210356 | − | 0.137147i | ||||
\(95\) | −5.71961 | − | 2.16008i | −0.586820 | − | 0.221620i | ||||
\(96\) | −9.08838 | + | 2.72157i | −0.927579 | + | 0.277769i | ||||
\(97\) | −0.470665 | − | 0.642920i | −0.0477888 | − | 0.0652786i | 0.782334 | − | 0.622859i | \(-0.214029\pi\) |
−0.830123 | + | 0.557580i | \(0.811730\pi\) | |||||||
\(98\) | −8.37236 | − | 5.03748i | −0.845736 | − | 0.508863i | ||||
\(99\) | −6.90379 | − | 7.49426i | −0.693857 | − | 0.753201i | ||||
\(100\) | −1.03115 | + | 6.28974i | −0.103115 | + | 0.628974i | ||||
\(101\) | 11.2227 | + | 7.90863i | 1.11670 | + | 0.786938i | 0.979065 | − | 0.203546i | \(-0.0652465\pi\) |
0.137631 | + | 0.990484i | \(0.456051\pi\) | |||||||
\(102\) | −3.32459 | + | 1.69509i | −0.329183 | + | 0.167839i | ||||
\(103\) | 1.98632 | − | 0.833286i | 0.195718 | − | 0.0821061i | −0.286806 | − | 0.957989i | \(-0.592594\pi\) |
0.482524 | + | 0.875883i | \(0.339720\pi\) | |||||||
\(104\) | 5.54982 | − | 7.58096i | 0.544205 | − | 0.743374i | ||||
\(105\) | 5.90451 | + | 6.92217i | 0.576222 | + | 0.675534i | ||||
\(106\) | 1.34919 | − | 0.196246i | 0.131045 | − | 0.0190611i | ||||
\(107\) | −4.46552 | − | 16.0834i | −0.431698 | − | 1.55484i | −0.785103 | − | 0.619366i | \(-0.787390\pi\) |
0.353405 | − | 0.935471i | \(-0.385024\pi\) | |||||||
\(108\) | −5.77909 | + | 6.40548i | −0.556093 | + | 0.616367i | ||||
\(109\) | −7.04706 | + | 13.2922i | −0.674985 | + | 1.27316i | 0.275174 | + | 0.961394i | \(0.411264\pi\) |
−0.950160 | + | 0.311763i | \(0.899080\pi\) | |||||||
\(110\) | 2.12757 | + | 0.153922i | 0.202856 | + | 0.0146759i | ||||
\(111\) | −10.4463 | − | 2.27668i | −0.991515 | − | 0.216093i | ||||
\(112\) | −3.40599 | − | 9.53606i | −0.321836 | − | 0.901073i | ||||
\(113\) | −10.6621 | − | 1.55084i | −1.00300 | − | 0.145891i | −0.377416 | − | 0.926044i | \(-0.623187\pi\) |
−0.625589 | + | 0.780153i | \(0.715141\pi\) | |||||||
\(114\) | −5.63687 | − | 1.01687i | −0.527941 | − | 0.0952382i | ||||
\(115\) | 4.83477 | + | 2.67615i | 0.450844 | + | 0.249552i | ||||
\(116\) | 11.0053 | − | 3.70813i | 1.02182 | − | 0.344291i | ||||
\(117\) | 1.13647 | − | 13.1630i | 0.105067 | − | 1.21692i | ||||
\(118\) | 2.12941 | + | 3.93802i | 0.196028 | + | 0.362524i | ||||
\(119\) | −9.01036 | − | 15.6064i | −0.825978 | − | 1.43064i | ||||
\(120\) | −0.0801465 | − | 3.98084i | −0.00731634 | − | 0.363399i | ||||
\(121\) | −0.00968142 | − | 0.536156i | −0.000880129 | − | 0.0487414i | ||||
\(122\) | −0.259565 | − | 2.04280i | −0.0234999 | − | 0.184946i | ||||
\(123\) | 6.68357 | − | 0.497476i | 0.602637 | − | 0.0448559i | ||||
\(124\) | −9.99223 | − | 1.82397i | −0.897329 | − | 0.163798i | ||||
\(125\) | −8.64405 | − | 3.99916i | −0.773147 | − | 0.357696i | ||||
\(126\) | 6.61746 | + | 5.37260i | 0.589530 | + | 0.478629i | ||||
\(127\) | 3.05604 | − | 5.76429i | 0.271179 | − | 0.511498i | −0.710097 | − | 0.704104i | \(-0.751349\pi\) |
0.981276 | + | 0.192605i | \(0.0616938\pi\) | |||||||
\(128\) | −3.87332 | + | 10.8445i | −0.342356 | + | 0.958526i | ||||
\(129\) | 1.92739 | − | 3.09045i | 0.169697 | − | 0.272099i | ||||
\(130\) | 1.71331 | + | 2.17130i | 0.150267 | + | 0.190436i | ||||
\(131\) | 11.2937 | + | 0.407996i | 0.986736 | + | 0.0356468i | 0.524764 | − | 0.851248i | \(-0.324154\pi\) |
0.461972 | + | 0.886895i | \(0.347142\pi\) | |||||||
\(132\) | −9.70793 | + | 1.07619i | −0.844967 | + | 0.0936704i | ||||
\(133\) | 3.48649 | − | 27.4391i | 0.302317 | − | 2.37927i | ||||
\(134\) | −0.416157 | + | 1.49886i | −0.0359505 | + | 0.129482i | ||||
\(135\) | −3.00227 | − | 4.72614i | −0.258394 | − | 0.406761i | ||||
\(136\) | −1.27586 | + | 7.78240i | −0.109404 | + | 0.667335i | ||||
\(137\) | −1.68671 | − | 5.32164i | −0.144106 | − | 0.454659i | 0.853708 | − | 0.520753i | \(-0.174349\pi\) |
−0.997813 | + | 0.0660939i | \(0.978946\pi\) | |||||||
\(138\) | 4.90948 | + | 1.64286i | 0.417923 | + | 0.139850i | ||||
\(139\) | 2.49147 | − | 5.65075i | 0.211323 | − | 0.479291i | −0.777407 | − | 0.628998i | \(-0.783465\pi\) |
0.988730 | + | 0.149707i | \(0.0478332\pi\) | |||||||
\(140\) | 8.69869 | − | 0.629319i | 0.735174 | − | 0.0531871i | ||||
\(141\) | −4.47002 | + | 5.68917i | −0.376444 | + | 0.479115i | ||||
\(142\) | −6.59129 | + | 3.34345i | −0.553128 | + | 0.280576i | ||||
\(143\) | 10.8595 | − | 10.2867i | 0.908120 | − | 0.860217i | ||||
\(144\) | 1.25485 | + | 6.10392i | 0.104571 | + | 0.508660i | ||||
\(145\) | 0.408050 | + | 7.52604i | 0.0338867 | + | 0.625004i | ||||
\(146\) | −2.33871 | − | 2.55998i | −0.193553 | − | 0.211865i | ||||
\(147\) | −17.1036 | + | 23.4652i | −1.41068 | + | 1.93538i | ||||
\(148\) | −7.69001 | + | 6.77472i | −0.632115 | + | 0.556879i | ||||
\(149\) | −4.91665 | + | 15.5122i | −0.402787 | + | 1.27081i | 0.509221 | + | 0.860636i | \(0.329934\pi\) |
−0.912008 | + | 0.410172i | \(0.865469\pi\) | |||||||
\(150\) | −3.75424 | − | 0.961401i | −0.306532 | − | 0.0784981i | ||||
\(151\) | 4.97365 | − | 20.7994i | 0.404750 | − | 1.69263i | −0.276853 | − | 0.960912i | \(-0.589291\pi\) |
0.681603 | − | 0.731723i | \(-0.261283\pi\) | |||||||
\(152\) | −8.78783 | + | 8.32427i | −0.712787 | + | 0.675188i | ||||
\(153\) | 4.14753 | + | 10.2852i | 0.335308 | + | 0.831506i | ||||
\(154\) | 1.56126 | + | 9.52327i | 0.125810 | + | 0.767407i | ||||
\(155\) | 2.87556 | − | 5.93197i | 0.230970 | − | 0.476467i | ||||
\(156\) | −9.52024 | − | 8.35209i | −0.762229 | − | 0.668702i | ||||
\(157\) | −10.1389 | + | 5.61208i | −0.809168 | + | 0.447893i | −0.833977 | − | 0.551799i | \(-0.813941\pi\) |
0.0248086 | + | 0.999692i | \(0.492102\pi\) | |||||||
\(158\) | −6.12750 | + | 6.70722i | −0.487478 | + | 0.533598i | ||||
\(159\) | −0.227748 | − | 4.04525i | −0.0180616 | − | 0.320809i | ||||
\(160\) | −4.82456 | − | 3.39987i | −0.381415 | − | 0.268784i | ||||
\(161\) | −6.68820 | + | 24.0887i | −0.527104 | + | 1.89846i | ||||
\(162\) | −3.57004 | − | 3.84325i | −0.280489 | − | 0.301954i | ||||
\(163\) | −3.00119 | − | 0.326399i | −0.235071 | − | 0.0255655i | −0.0101748 | − | 0.999948i | \(-0.503239\pi\) |
−0.224896 | + | 0.974383i | \(0.572204\pi\) | |||||||
\(164\) | 3.41098 | − | 5.44411i | 0.266353 | − | 0.425114i | ||||
\(165\) | 1.01257 | − | 6.25773i | 0.0788287 | − | 0.487164i | ||||
\(166\) | −7.89133 | − | 2.03830i | −0.612486 | − | 0.158203i | ||||
\(167\) | 12.1297 | − | 2.21414i | 0.938622 | − | 0.171335i | 0.311491 | − | 0.950249i | \(-0.399172\pi\) |
0.627131 | + | 0.778914i | \(0.284229\pi\) | |||||||
\(168\) | 17.4314 | − | 4.54107i | 1.34486 | − | 0.350351i | ||||
\(169\) | 6.37834 | + | 0.461450i | 0.490642 | + | 0.0354961i | ||||
\(170\) | −2.10705 | − | 0.974827i | −0.161604 | − | 0.0747658i | ||||
\(171\) | −4.48568 | + | 16.4201i | −0.343029 | + | 1.25567i | ||||
\(172\) | −1.29228 | − | 3.24337i | −0.0985351 | − | 0.247304i | ||||
\(173\) | 15.1418 | + | 6.35218i | 1.15121 | + | 0.482947i | 0.877836 | − | 0.478960i | \(-0.158986\pi\) |
0.273376 | + | 0.961907i | \(0.411860\pi\) | |||||||
\(174\) | 1.65645 | + | 6.86413i | 0.125575 | + | 0.520368i | ||||
\(175\) | 3.69236 | − | 18.3463i | 0.279117 | − | 1.38685i | ||||
\(176\) | −3.52759 | + | 6.10997i | −0.265902 | + | 0.460556i | ||||
\(177\) | 12.2147 | − | 5.27261i | 0.918115 | − | 0.396313i | ||||
\(178\) | 2.36369 | + | 4.09404i | 0.177166 | + | 0.306861i | ||||
\(179\) | 12.8531 | − | 4.33073i | 0.960689 | − | 0.323694i | 0.205101 | − | 0.978741i | \(-0.434248\pi\) |
0.755588 | + | 0.655047i | \(0.227351\pi\) | |||||||
\(180\) | −5.35473 | − | 0.365061i | −0.399118 | − | 0.0272100i | ||||
\(181\) | 3.45015 | − | 2.62274i | 0.256448 | − | 0.194946i | −0.469049 | − | 0.883172i | \(-0.655403\pi\) |
0.725497 | + | 0.688226i | \(0.241610\pi\) | |||||||
\(182\) | −7.75110 | + | 9.82310i | −0.574549 | + | 0.728136i | ||||
\(183\) | −6.11503 | + | 0.233619i | −0.452036 | + | 0.0172696i | ||||
\(184\) | 8.94306 | − | 6.30219i | 0.659291 | − | 0.464604i | ||||
\(185\) | −2.90138 | − | 5.98525i | −0.213314 | − | 0.440044i | ||||
\(186\) | 1.63988 | − | 5.95424i | 0.120242 | − | 0.436586i | ||||
\(187\) | −4.22321 | + | 11.8241i | −0.308831 | + | 0.864664i | ||||
\(188\) | 1.85543 | + | 6.68265i | 0.135321 | + | 0.487383i | ||||
\(189\) | 17.6362 | − | 18.1826i | 1.28284 | − | 1.32259i | ||||
\(190\) | −1.66914 | − | 3.14833i | −0.121092 | − | 0.228404i | ||||
\(191\) | −5.26951 | − | 11.9515i | −0.381288 | − | 0.864778i | −0.997043 | − | 0.0768403i | \(-0.975517\pi\) |
0.615755 | − | 0.787937i | \(-0.288851\pi\) | |||||||
\(192\) | 1.51359 | + | 0.696450i | 0.109234 | + | 0.0502620i | ||||
\(193\) | −14.1922 | − | 14.4508i | −1.02158 | − | 1.04019i | −0.999182 | − | 0.0404418i | \(-0.987123\pi\) |
−0.0223958 | − | 0.999749i | \(-0.507129\pi\) | |||||||
\(194\) | 0.0418670 | − | 0.462508i | 0.00300588 | − | 0.0332061i | ||||
\(195\) | 6.87598 | − | 4.50335i | 0.492399 | − | 0.322491i | ||||
\(196\) | 8.40981 | + | 26.5332i | 0.600701 | + | 1.89523i | ||||
\(197\) | 6.13847 | + | 3.69339i | 0.437348 | + | 0.263143i | 0.717156 | − | 0.696912i | \(-0.245443\pi\) |
−0.279808 | + | 0.960056i | \(0.590271\pi\) | |||||||
\(198\) | −0.131865 | − | 5.93738i | −0.00937122 | − | 0.421951i | ||||
\(199\) | −5.46113 | − | 8.05456i | −0.387129 | − | 0.570973i | 0.583331 | − | 0.812235i | \(-0.301749\pi\) |
−0.970460 | + | 0.241262i | \(0.922439\pi\) | |||||||
\(200\) | −6.33662 | + | 5.18838i | −0.448067 | + | 0.366874i | ||||
\(201\) | 4.32799 | + | 1.62426i | 0.305273 | + | 0.114567i | ||||
\(202\) | 1.86100 | + | 7.78258i | 0.130940 | + | 0.547580i | ||||
\(203\) | −32.6853 | + | 9.71393i | −2.29406 | + | 0.681784i | ||||
\(204\) | 10.2982 | + | 2.63721i | 0.721019 | + | 0.184641i | ||||
\(205\) | 2.81225 | + | 3.07831i | 0.196416 | + | 0.214999i | ||||
\(206\) | 1.18973 | + | 0.400868i | 0.0828926 | + | 0.0279298i | ||||
\(207\) | 6.14835 | − | 14.1030i | 0.427340 | − | 0.980226i | ||||
\(208\) | −8.93402 | + | 1.96653i | −0.619463 | + | 0.136354i | ||||
\(209\) | −16.1434 | + | 10.5252i | −1.11666 | + | 0.728040i | ||||
\(210\) | −0.0847356 | + | 5.30219i | −0.00584731 | + | 0.365886i | ||||
\(211\) | −1.51492 | − | 6.33527i | −0.104291 | − | 0.436138i | 0.895672 | − | 0.444715i | \(-0.146695\pi\) |
−0.999963 | + | 0.00857706i | \(0.997270\pi\) | |||||||
\(212\) | −3.25342 | − | 2.12116i | −0.223446 | − | 0.145682i | ||||
\(213\) | 8.17188 | + | 20.3867i | 0.559928 | + | 1.39688i | ||||
\(214\) | 4.24368 | − | 8.75426i | 0.290092 | − | 0.598429i | ||||
\(215\) | 2.25262 | − | 0.244987i | 0.153628 | − | 0.0167080i | ||||
\(216\) | −11.0126 | + | 1.26712i | −0.749315 | + | 0.0862163i | ||||
\(217\) | 29.1262 | + | 6.41116i | 1.97722 | + | 0.435218i | ||||
\(218\) | −8.20312 | + | 3.09801i | −0.555585 | + | 0.209824i | ||||
\(219\) | −8.19025 | + | 6.25293i | −0.553446 | + | 0.422534i | ||||
\(220\) | −4.25779 | − | 4.33536i | −0.287060 | − | 0.292290i | ||||
\(221\) | −15.0124 | + | 6.29789i | −1.00984 | + | 0.423642i | ||||
\(222\) | −3.69133 | − | 5.02040i | −0.247746 | − | 0.336947i | ||||
\(223\) | 8.73892 | − | 13.9478i | 0.585201 | − | 0.934014i | −0.414511 | − | 0.910044i | \(-0.636048\pi\) |
0.999713 | − | 0.0239701i | \(-0.00763064\pi\) | |||||||
\(224\) | 9.88331 | − | 24.8052i | 0.660357 | − | 1.65737i | ||||
\(225\) | −3.82868 | + | 10.8616i | −0.255246 | + | 0.724108i | ||||
\(226\) | −4.06537 | − | 4.78613i | −0.270425 | − | 0.318369i | ||||
\(227\) | −1.01653 | + | 0.0367233i | −0.0674698 | + | 0.00243741i | −0.0698167 | − | 0.997560i | \(-0.522241\pi\) |
0.00234696 | + | 0.999997i | \(0.499253\pi\) | |||||||
\(228\) | 10.1338 | + | 12.7881i | 0.671130 | + | 0.846915i | ||||
\(229\) | −9.15638 | + | 6.45251i | −0.605070 | + | 0.426394i | −0.837669 | − | 0.546179i | \(-0.816082\pi\) |
0.232598 | + | 0.972573i | \(0.425277\pi\) | |||||||
\(230\) | 1.08333 | + | 3.03311i | 0.0714329 | + | 0.199997i | ||||
\(231\) | 28.5994 | − | 2.12874i | 1.88171 | − | 0.140061i | ||||
\(232\) | 13.7604 | + | 5.77264i | 0.903413 | + | 0.378993i | ||||
\(233\) | 5.13506 | − | 3.08966i | 0.336409 | − | 0.202411i | −0.337318 | − | 0.941391i | \(-0.609520\pi\) |
0.673727 | + | 0.738980i | \(0.264692\pi\) | |||||||
\(234\) | 5.56845 | − | 5.31874i | 0.364021 | − | 0.347697i | ||||
\(235\) | −4.50117 | −0.293624 | ||||||||
\(236\) | 2.86401 | − | 12.4272i | 0.186431 | − | 0.808945i | ||||
\(237\) | 18.2507 | + | 19.8943i | 1.18551 | + | 1.29228i | ||||
\(238\) | 2.07231 | − | 10.2967i | 0.134328 | − | 0.667436i | ||||
\(239\) | −0.195656 | − | 10.8354i | −0.0126559 | − | 0.700885i | −0.942738 | − | 0.333534i | \(-0.891759\pi\) |
0.930082 | − | 0.367351i | \(-0.119735\pi\) | |||||||
\(240\) | −2.50365 | + | 2.95995i | −0.161610 | + | 0.191064i | ||||
\(241\) | 9.25340 | − | 11.7270i | 0.596064 | − | 0.755402i | −0.390173 | − | 0.920742i | \(-0.627585\pi\) |
0.986237 | + | 0.165340i | \(0.0528721\pi\) | |||||||
\(242\) | 0.202336 | − | 0.238209i | 0.0130067 | − | 0.0153126i | ||||
\(243\) | −12.3113 | + | 9.56199i | −0.789771 | + | 0.613402i | ||||
\(244\) | −3.29192 | + | 4.85521i | −0.210743 | + | 0.310823i | ||||
\(245\) | −18.0528 | + | 0.652175i | −1.15335 | + | 0.0416659i | ||||
\(246\) | 3.11461 | + | 2.35748i | 0.198580 | + | 0.150308i | ||||
\(247\) | −24.1937 | − | 6.24916i | −1.53941 | − | 0.397624i | ||||
\(248\) | −8.08470 | − | 10.2459i | −0.513379 | − | 0.650614i | ||||
\(249\) | −8.09950 | + | 22.8263i | −0.513285 | + | 1.44656i | ||||
\(250\) | −2.23953 | − | 5.07935i | −0.141640 | − | 0.321246i | ||||
\(251\) | 4.19045 | + | 3.18549i | 0.264499 | + | 0.201067i | 0.729015 | − | 0.684498i | \(-0.239979\pi\) |
−0.464516 | + | 0.885565i | \(0.653772\pi\) | |||||||
\(252\) | −4.02769 | − | 23.9449i | −0.253721 | − | 1.50839i | ||||
\(253\) | 15.8085 | − | 7.31377i | 0.993869 | − | 0.459813i | ||||
\(254\) | 3.55737 | − | 1.34349i | 0.223210 | − | 0.0842978i | ||||
\(255\) | −3.43724 | + | 5.98211i | −0.215248 | + | 0.374614i | ||||
\(256\) | −4.18887 | + | 2.31864i | −0.261805 | + | 0.144915i | ||||
\(257\) | 8.10987 | − | 18.3935i | 0.505880 | − | 1.14736i | −0.459894 | − | 0.887974i | \(-0.652113\pi\) |
0.965774 | − | 0.259384i | \(-0.0835195\pi\) | |||||||
\(258\) | 2.03360 | − | 0.608973i | 0.126607 | − | 0.0379130i | ||||
\(259\) | 23.2824 | − | 19.0635i | 1.44670 | − | 1.18455i | ||||
\(260\) | 0.426557 | − | 7.86739i | 0.0264540 | − | 0.487915i | ||||
\(261\) | 20.7528 | − | 3.10658i | 1.28456 | − | 0.192293i | ||||
\(262\) | 4.78192 | + | 4.52967i | 0.295428 | + | 0.279844i | ||||
\(263\) | 11.0166 | − | 7.18256i | 0.679311 | − | 0.442895i | −0.159587 | − | 0.987184i | \(-0.551016\pi\) |
0.838898 | + | 0.544288i | \(0.183200\pi\) | |||||||
\(264\) | −10.2740 | − | 7.20822i | −0.632319 | − | 0.443635i | ||||
\(265\) | 1.89135 | − | 1.66624i | 0.116185 | − | 0.102356i | ||||
\(266\) | 12.0965 | − | 10.6567i | 0.741683 | − | 0.653406i | ||||
\(267\) | 12.7379 | − | 5.92530i | 0.779547 | − | 0.362623i | ||||
\(268\) | 3.71198 | − | 2.42013i | 0.226746 | − | 0.147833i | ||||
\(269\) | −1.89010 | − | 1.79039i | −0.115241 | − | 0.109162i | 0.627909 | − | 0.778286i | \(-0.283911\pi\) |
−0.743151 | + | 0.669124i | \(0.766669\pi\) | |||||||
\(270\) | 0.507896 | − | 3.22361i | 0.0309096 | − | 0.196183i | ||||
\(271\) | −0.195116 | + | 3.59871i | −0.0118525 | + | 0.218606i | 0.986607 | + | 0.163117i | \(0.0521546\pi\) |
−0.998459 | + | 0.0554893i | \(0.982328\pi\) | |||||||
\(272\) | 5.94115 | − | 4.86457i | 0.360235 | − | 0.294958i | ||||
\(273\) | 27.0493 | + | 25.5162i | 1.63710 | + | 1.54431i | ||||
\(274\) | 1.31267 | − | 2.97719i | 0.0793012 | − | 0.179859i | ||||
\(275\) | −11.4078 | + | 6.31447i | −0.687916 | + | 0.380777i | ||||
\(276\) | −7.40029 | − | 12.7565i | −0.445445 | − | 0.767849i | ||||
\(277\) | −1.15171 | + | 0.434959i | −0.0691998 | + | 0.0261342i | −0.387664 | − | 0.921801i | \(-0.626718\pi\) |
0.318464 | + | 0.947935i | \(0.396833\pi\) | |||||||
\(278\) | 3.26672 | − | 1.51135i | 0.195925 | − | 0.0906446i | ||||
\(279\) | −17.1964 | − | 6.41302i | −1.02952 | − | 0.383938i | ||||
\(280\) | 8.92134 | + | 6.78183i | 0.533152 | + | 0.405292i | ||||
\(281\) | 6.35131 | + | 14.4050i | 0.378887 | + | 0.859332i | 0.997297 | + | 0.0734766i | \(0.0234094\pi\) |
−0.618410 | + | 0.785856i | \(0.712223\pi\) | |||||||
\(282\) | −4.14681 | + | 0.765852i | −0.246939 | + | 0.0456058i | ||||
\(283\) | 1.06497 | + | 1.34966i | 0.0633061 | + | 0.0802289i | 0.815665 | − | 0.578525i | \(-0.196371\pi\) |
−0.752359 | + | 0.658754i | \(0.771084\pi\) | |||||||
\(284\) | 20.3847 | + | 5.26529i | 1.20961 | + | 0.312438i | ||||
\(285\) | −9.75661 | + | 4.11684i | −0.577932 | + | 0.243861i | ||||
\(286\) | 8.71249 | − | 0.314747i | 0.515181 | − | 0.0186114i | ||||
\(287\) | −10.5857 | + | 15.6127i | −0.624854 | + | 0.921591i | ||||
\(288\) | −8.15696 | + | 14.2647i | −0.480653 | + | 0.840554i | ||||
\(289\) | −2.15892 | + | 2.54168i | −0.126995 | + | 0.149511i | ||||
\(290\) | −2.72118 | + | 3.44860i | −0.159793 | + | 0.202509i | ||||
\(291\) | −1.35816 | − | 0.245005i | −0.0796165 | − | 0.0143625i | ||||
\(292\) | 0.178329 | + | 9.87586i | 0.0104359 | + | 0.577941i | ||||
\(293\) | −0.290033 | + | 1.44109i | −0.0169439 | + | 0.0841892i | −0.987910 | − | 0.155027i | \(-0.950454\pi\) |
0.970966 | + | 0.239216i | \(0.0768904\pi\) | |||||||
\(294\) | −16.5206 | + | 3.67243i | −0.963503 | + | 0.214180i | ||||
\(295\) | 7.27413 | + | 3.94873i | 0.423516 | + | 0.229904i | ||||
\(296\) | −13.1687 | −0.765413 | ||||||||
\(297\) | −17.6103 | − | 1.16388i | −1.02186 | − | 0.0675353i | ||||
\(298\) | −8.12676 | + | 4.88971i | −0.470770 | + | 0.283253i | ||||
\(299\) | 20.8266 | + | 8.73699i | 1.20443 | + | 0.505273i | ||||
\(300\) | 6.21422 | + | 9.12446i | 0.358778 | + | 0.526801i | ||||
\(301\) | 3.44804 | + | 9.65379i | 0.198742 | + | 0.556435i | ||||
\(302\) | 10.1888 | − | 7.18004i | 0.586297 | − | 0.413165i | ||||
\(303\) | 23.5251 | − | 3.47169i | 1.35148 | − | 0.199443i | ||||
\(304\) | 11.7781 | − | 0.425495i | 0.675521 | − | 0.0244038i | ||||
\(305\) | −2.46465 | − | 2.90161i | −0.141125 | − | 0.166146i | ||||
\(306\) | −2.14882 | + | 6.09600i | −0.122840 | + | 0.348485i | ||||
\(307\) | 0.730167 | − | 1.83258i | 0.0416728 | − | 0.104591i | −0.906667 | − | 0.421847i | \(-0.861382\pi\) |
0.948340 | + | 0.317256i | \(0.102761\pi\) | |||||||
\(308\) | 14.5958 | − | 23.2957i | 0.831673 | − | 1.32740i | ||||
\(309\) | 1.49808 | − | 3.41691i | 0.0852230 | − | 0.194381i | ||||
\(310\) | 3.54305 | − | 1.48635i | 0.201232 | − | 0.0844190i | ||||
\(311\) | −19.5839 | − | 19.9408i | −1.11050 | − | 1.13074i | −0.990436 | − | 0.137971i | \(-0.955942\pi\) |
−0.120067 | − | 0.992766i | \(-0.538311\pi\) | |||||||
\(312\) | −2.08472 | − | 16.1390i | −0.118024 | − | 0.913693i | ||||
\(313\) | 14.1077 | − | 5.32794i | 0.797413 | − | 0.301153i | 0.0790947 | − | 0.996867i | \(-0.474797\pi\) |
0.718319 | + | 0.695714i | \(0.244912\pi\) | |||||||
\(314\) | −6.59628 | − | 1.45195i | −0.372250 | − | 0.0819383i | ||||
\(315\) | 15.6733 | + | 1.63879i | 0.883092 | + | 0.0923351i | ||||
\(316\) | 25.7275 | − | 2.79804i | 1.44729 | − | 0.157402i | ||||
\(317\) | −7.96882 | + | 16.4388i | −0.447573 | + | 0.923296i | 0.548616 | + | 0.836075i | \(0.315155\pi\) |
−0.996189 | + | 0.0872213i | \(0.972201\pi\) | |||||||
\(318\) | 1.45896 | − | 1.85687i | 0.0818141 | − | 0.104128i | ||||
\(319\) | 19.9013 | + | 12.9752i | 1.11426 | + | 0.726470i | ||||
\(320\) | 0.241065 | + | 1.00812i | 0.0134759 | + | 0.0563554i | ||||
\(321\) | −24.8035 | − | 14.8537i | −1.38439 | − | 0.829054i | ||||
\(322\) | −12.2059 | + | 7.95796i | −0.680207 | + | 0.443480i | ||||
\(323\) | 20.4841 | − | 4.50888i | 1.13976 | − | 0.250881i | ||||
\(324\) | 0.393785 | + | 14.9375i | 0.0218769 | + | 0.829861i | ||||
\(325\) | −16.0214 | − | 5.39823i | −0.888707 | − | 0.299440i | ||||
\(326\) | −1.18676 | − | 1.29904i | −0.0657287 | − | 0.0719473i | ||||
\(327\) | 7.02338 | + | 25.0938i | 0.388394 | + | 1.38769i | ||||
\(328\) | 7.91285 | − | 2.35167i | 0.436914 | − | 0.129849i | ||||
\(329\) | −4.73589 | − | 19.8052i | −0.261098 | − | 1.09189i | ||||
\(330\) | 2.85381 | − | 2.34659i | 0.157097 | − | 0.129176i | ||||
\(331\) | 8.98404 | − | 7.35606i | 0.493808 | − | 0.404326i | −0.353495 | − | 0.935437i | \(-0.615007\pi\) |
0.847302 | + | 0.531111i | \(0.178225\pi\) | |||||||
\(332\) | 13.0293 | + | 19.2168i | 0.715075 | + | 1.05466i | ||||
\(333\) | −15.8277 | + | 9.61289i | −0.867351 | + | 0.526783i | ||||
\(334\) | 6.15777 | + | 3.70501i | 0.336938 | + | 0.202729i | ||||
\(335\) | 0.868929 | + | 2.74150i | 0.0474747 | + | 0.149784i | ||||
\(336\) | −15.6580 | − | 7.90177i | −0.854215 | − | 0.431077i | ||||
\(337\) | 0.944726 | − | 10.4365i | 0.0514625 | − | 0.568510i | −0.928769 | − | 0.370658i | \(-0.879132\pi\) |
0.980232 | − | 0.197852i | \(-0.0633966\pi\) | |||||||
\(338\) | 2.61167 | + | 2.65926i | 0.142056 | + | 0.144645i | ||||
\(339\) | −15.2321 | + | 10.7814i | −0.827293 | + | 0.585568i | ||||
\(340\) | 2.66811 | + | 6.05140i | 0.144699 | + | 0.328183i | ||||
\(341\) | −9.73309 | − | 18.3585i | −0.527076 | − | 0.994171i | ||||
\(342\) | −8.28806 | + | 5.45278i | −0.448167 | + | 0.294853i | ||||
\(343\) | −12.7346 | − | 45.8659i | −0.687603 | − | 2.47652i | ||||
\(344\) | 1.50894 | − | 4.22472i | 0.0813567 | − | 0.227782i | ||||
\(345\) | 9.26219 | − | 2.41291i | 0.498659 | − | 0.129906i | ||||
\(346\) | 4.17465 | + | 8.61187i | 0.224431 | + | 0.462977i | ||||
\(347\) | 11.6098 | − | 8.18144i | 0.623246 | − | 0.439203i | −0.220914 | − | 0.975293i | \(-0.570904\pi\) |
0.844161 | + | 0.536090i | \(0.180099\pi\) | |||||||
\(348\) | 9.38501 | − | 17.7911i | 0.503089 | − | 0.953704i | ||||
\(349\) | −7.45842 | + | 9.45219i | −0.399240 | + | 0.505964i | −0.942778 | − | 0.333421i | \(-0.891797\pi\) |
0.543538 | + | 0.839385i | \(0.317084\pi\) | |||||||
\(350\) | 8.68325 | − | 6.60084i | 0.464139 | − | 0.352830i | ||||
\(351\) | −14.2869 | − | 17.8760i | −0.762576 | − | 0.954150i | ||||
\(352\) | −17.6301 | + | 5.94029i | −0.939690 | + | 0.316618i | ||||
\(353\) | −6.11091 | − | 10.5844i | −0.325251 | − | 0.563351i | 0.656312 | − | 0.754489i | \(-0.272115\pi\) |
−0.981563 | + | 0.191139i | \(0.938782\pi\) | |||||||
\(354\) | 7.37334 | + | 2.40021i | 0.391888 | + | 0.127570i | ||||
\(355\) | −6.83202 | + | 11.8334i | −0.362606 | + | 0.628052i | ||||
\(356\) | 2.65701 | − | 13.2019i | 0.140821 | − | 0.699700i | ||||
\(357\) | −29.9378 | − | 8.82982i | −1.58448 | − | 0.467323i | ||||
\(358\) | 7.28965 | + | 3.05809i | 0.385270 | + | 0.161625i | ||||
\(359\) | −10.1857 | − | 25.5641i | −0.537579 | − | 1.34922i | −0.907458 | − | 0.420142i | \(-0.861980\pi\) |
0.369879 | − | 0.929080i | \(-0.379399\pi\) | |||||||
\(360\) | −4.85266 | − | 4.90022i | −0.255757 | − | 0.258264i | ||||
\(361\) | 11.9739 | + | 5.53971i | 0.630204 | + | 0.291564i | ||||
\(362\) | 2.51935 | + | 0.182266i | 0.132414 | + | 0.00957969i | ||||
\(363\) | −0.652179 | − | 0.661311i | −0.0342305 | − | 0.0347098i | ||||
\(364\) | 35.0654 | − | 6.40080i | 1.83792 | − | 0.335493i | ||||
\(365\) | −6.20685 | − | 1.60321i | −0.324882 | − | 0.0839158i | ||||
\(366\) | −2.76432 | − | 2.25383i | −0.144493 | − | 0.117810i | ||||
\(367\) | −15.1721 | + | 24.2156i | −0.791979 | + | 1.26404i | 0.168504 | + | 0.985701i | \(0.446106\pi\) |
−0.960482 | + | 0.278341i | \(0.910215\pi\) | |||||||
\(368\) | −10.5900 | − | 1.15174i | −0.552044 | − | 0.0600384i | ||||
\(369\) | 7.79393 | − | 8.60275i | 0.405736 | − | 0.447841i | ||||
\(370\) | 1.03713 | − | 3.73539i | 0.0539176 | − | 0.194194i | ||||
\(371\) | 9.32145 | + | 6.56884i | 0.483945 | + | 0.341037i | ||||
\(372\) | −14.7175 | + | 9.63904i | −0.763065 | + | 0.499761i | ||||
\(373\) | −21.5484 | + | 23.5871i | −1.11573 | + | 1.22130i | −0.142914 | + | 0.989735i | \(0.545647\pi\) |
−0.972821 | + | 0.231560i | \(0.925617\pi\) | |||||||
\(374\) | −6.40254 | + | 3.54395i | −0.331067 | + | 0.183253i | ||||
\(375\) | −15.6221 | + | 5.29983i | −0.806722 | + | 0.273682i | ||||
\(376\) | −3.88728 | + | 8.01903i | −0.200471 | + | 0.413550i | ||||
\(377\) | 4.98359 | + | 30.3986i | 0.256668 | + | 1.56561i | ||||
\(378\) | 14.7183 | − | 1.15697i | 0.757027 | − | 0.0595080i | ||||
\(379\) | −18.3548 | + | 17.3866i | −0.942823 | + | 0.893090i | −0.994411 | − | 0.105579i | \(-0.966331\pi\) |
0.0515875 | + | 0.998668i | \(0.483572\pi\) | |||||||
\(380\) | −2.36077 | + | 9.87259i | −0.121105 | + | 0.506453i | ||||
\(381\) | −3.04577 | − | 10.8822i | −0.156040 | − | 0.557513i | ||||
\(382\) | 2.30014 | − | 7.25701i | 0.117685 | − | 0.371301i | ||||
\(383\) | 21.9923 | − | 19.3747i | 1.12376 | − | 0.990003i | 0.123759 | − | 0.992312i | \(-0.460505\pi\) |
0.999997 | + | 0.00230922i | \(0.000735048\pi\) | |||||||
\(384\) | 8.08451 | + | 18.2334i | 0.412561 | + | 0.930470i | ||||
\(385\) | 12.0338 | + | 13.1723i | 0.613299 | + | 0.671323i | ||||
\(386\) | −0.639115 | − | 11.7878i | −0.0325301 | − | 0.599983i | ||||
\(387\) | −1.27035 | − | 6.17927i | −0.0645753 | − | 0.314110i | ||||
\(388\) | −0.960424 | + | 0.909762i | −0.0487581 | + | 0.0461862i | ||||
\(389\) | −11.3850 | + | 5.77506i | −0.577240 | + | 0.292807i | −0.716656 | − | 0.697427i | \(-0.754328\pi\) |
0.139416 | + | 0.990234i | \(0.455478\pi\) | |||||||
\(390\) | 4.74214 | + | 0.679718i | 0.240128 | + | 0.0344188i | ||||
\(391\) | −18.9081 | + | 1.36793i | −0.956225 | + | 0.0691794i | ||||
\(392\) | −14.4288 | + | 32.7251i | −0.728764 | + | 1.65287i | ||||
\(393\) | 14.6605 | − | 12.9697i | 0.739524 | − | 0.654234i | ||||
\(394\) | 1.26156 | + | 3.98027i | 0.0635566 | + | 0.200523i | ||||
\(395\) | −2.71727 | + | 16.5746i | −0.136721 | + | 0.833959i | ||||
\(396\) | −10.8986 | + | 12.9393i | −0.547677 | + | 0.650226i | ||||
\(397\) | 9.17202 | − | 33.0346i | 0.460330 | − | 1.65796i | −0.260977 | − | 0.965345i | \(-0.584045\pi\) |
0.721307 | − | 0.692615i | \(-0.243542\pi\) | |||||||
\(398\) | 0.714932 | − | 5.62659i | 0.0358363 | − | 0.282035i | ||||
\(399\) | −28.3795 | − | 38.5976i | −1.42075 | − | 1.93230i | ||||
\(400\) | 7.96890 | + | 0.287884i | 0.398445 | + | 0.0143942i | ||||
\(401\) | −11.3940 | − | 14.4399i | −0.568991 | − | 0.721093i | 0.412849 | − | 0.910799i | \(-0.364534\pi\) |
−0.981841 | + | 0.189707i | \(0.939246\pi\) | |||||||
\(402\) | 1.26698 | + | 2.37783i | 0.0631910 | + | 0.118595i | ||||
\(403\) | 9.06236 | − | 25.3727i | 0.451428 | − | 1.26390i | ||||
\(404\) | 10.6773 | − | 20.1395i | 0.531214 | − | 1.00198i | ||||
\(405\) | −9.40957 | − | 2.34732i | −0.467565 | − | 0.116639i | ||||
\(406\) | −18.0369 | − | 8.34478i | −0.895159 | − | 0.414144i | ||||
\(407\) | −20.6249 | − | 3.76485i | −1.02234 | − | 0.186617i | ||||
\(408\) | 7.68895 | + | 11.2898i | 0.380660 | + | 0.558931i | ||||
\(409\) | 0.325489 | + | 2.56163i | 0.0160944 | + | 0.126665i | 0.998047 | − | 0.0624603i | \(-0.0198947\pi\) |
−0.981953 | + | 0.189125i | \(0.939435\pi\) | |||||||
\(410\) | 0.0438743 | + | 2.42975i | 0.00216680 | + | 0.119997i | ||||
\(411\) | −8.46945 | − | 4.66510i | −0.417767 | − | 0.230112i | ||||
\(412\) | −1.78817 | − | 3.09719i | −0.0880966 | − | 0.152588i | ||||
\(413\) | −9.72098 | + | 36.1609i | −0.478338 | + | 1.77936i | ||||
\(414\) | 8.12248 | − | 3.79887i | 0.399198 | − | 0.186704i | ||||
\(415\) | −14.2795 | + | 4.81132i | −0.700953 | + | 0.236178i | ||||
\(416\) | −21.1049 | − | 11.6820i | −1.03475 | − | 0.572759i | ||||
\(417\) | −3.61876 | − | 10.0658i | −0.177211 | − | 0.492923i | ||||
\(418\) | −11.1152 | − | 1.61675i | −0.543662 | − | 0.0790778i | ||||
\(419\) | 0.994596 | + | 2.78466i | 0.0485892 | + | 0.136040i | 0.963569 | − | 0.267460i | \(-0.0861844\pi\) |
−0.914980 | + | 0.403500i | \(0.867794\pi\) | |||||||
\(420\) | 10.1655 | − | 11.1737i | 0.496026 | − | 0.545223i | ||||
\(421\) | −0.226230 | − | 0.0163669i | −0.0110258 | − | 0.000797674i | 0.0666438 | − | 0.997777i | \(-0.478771\pi\) |
−0.0776695 | + | 0.996979i | \(0.524748\pi\) | |||||||
\(422\) | 1.77833 | − | 3.35429i | 0.0865679 | − | 0.163284i | ||||
\(423\) | 1.18156 | + | 12.4759i | 0.0574495 | + | 0.606597i | ||||
\(424\) | −1.33508 | − | 4.80852i | −0.0648372 | − | 0.233522i | ||||
\(425\) | 14.0432 | − | 2.04264i | 0.681197 | − | 0.0990828i | ||||
\(426\) | −4.28077 | + | 12.0643i | −0.207404 | + | 0.584515i | ||||
\(427\) | 10.1739 | − | 13.8974i | 0.492351 | − | 0.672542i | ||||
\(428\) | −25.5556 | + | 10.7209i | −1.23528 | + | 0.518214i | ||||
\(429\) | 1.34895 | − | 25.8731i | 0.0651281 | − | 1.24916i | ||||
\(430\) | 1.07953 | + | 0.760750i | 0.0520598 | + | 0.0366866i | ||||
\(431\) | 4.62043 | − | 28.1834i | 0.222558 | − | 1.35755i | −0.605027 | − | 0.796205i | \(-0.706838\pi\) |
0.827585 | − | 0.561340i | \(-0.189714\pi\) | |||||||
\(432\) | 8.86130 | + | 6.16237i | 0.426339 | + | 0.296487i | ||||
\(433\) | 31.4767 | + | 18.9389i | 1.51267 | + | 0.910145i | 0.998627 | + | 0.0523817i | \(0.0166813\pi\) |
0.514045 | + | 0.857763i | \(0.328146\pi\) | |||||||
\(434\) | 10.2678 | + | 14.0256i | 0.492868 | + | 0.673249i | ||||
\(435\) | 9.49621 | + | 8.95798i | 0.455309 | + | 0.429502i | ||||
\(436\) | 23.3677 | + | 8.82511i | 1.11911 | + | 0.422646i | ||||
\(437\) | −24.3746 | − | 15.8917i | −1.16600 | − | 0.760204i | ||||
\(438\) | −5.99100 | − | 0.420931i | −0.286261 | − | 0.0201129i | ||||
\(439\) | 2.15711 | − | 9.02088i | 0.102953 | − | 0.430543i | −0.896980 | − | 0.442070i | \(-0.854244\pi\) |
0.999934 | + | 0.0115275i | \(0.00366941\pi\) | |||||||
\(440\) | −0.422711 | − | 7.79644i | −0.0201520 | − | 0.371681i | ||||
\(441\) | 6.54651 | + | 49.8657i | 0.311738 | + | 2.37456i | ||||
\(442\) | −8.99188 | − | 3.02972i | −0.427700 | − | 0.144109i | ||||
\(443\) | −1.09288 | − | 5.43021i | −0.0519244 | − | 0.257997i | 0.945856 | − | 0.324586i | \(-0.105225\pi\) |
−0.997780 | + | 0.0665892i | \(0.978788\pi\) | |||||||
\(444\) | −1.56362 | + | 17.6820i | −0.0742061 | + | 0.839152i | ||||
\(445\) | 7.79451 | + | 3.95379i | 0.369495 | + | 0.187428i | ||||
\(446\) | 9.19563 | − | 2.73290i | 0.435426 | − | 0.129407i | ||||
\(447\) | 12.3472 | + | 25.3368i | 0.584001 | + | 1.19839i | ||||
\(448\) | −4.18208 | + | 2.12137i | −0.197585 | + | 0.100225i | ||||
\(449\) | 1.37589 | + | 8.39256i | 0.0649322 | + | 0.396069i | 0.999218 | + | 0.0395437i | \(0.0125904\pi\) |
−0.934286 | + | 0.356525i | \(0.883961\pi\) | |||||||
\(450\) | −5.85918 | + | 3.27503i | −0.276204 | + | 0.154386i | ||||
\(451\) | 13.0655 | − | 1.42096i | 0.615231 | − | 0.0669104i | ||||
\(452\) | −0.322962 | + | 17.8856i | −0.0151909 | + | 0.841269i | ||||
\(453\) | −18.5872 | − | 32.0403i | −0.873303 | − | 1.50538i | ||||
\(454\) | −0.458713 | − | 0.375590i | −0.0215285 | − | 0.0176273i | ||||
\(455\) | −2.08558 | + | 23.0396i | −0.0977735 | + | 1.08011i | ||||
\(456\) | −1.09161 | + | 20.9372i | −0.0511193 | + | 0.980475i | ||||
\(457\) | −1.46514 | + | 11.5308i | −0.0685364 | + | 0.539389i | 0.920392 | + | 0.390996i | \(0.127870\pi\) |
−0.988929 | + | 0.148392i | \(0.952590\pi\) | |||||||
\(458\) | −6.49041 | − | 0.705875i | −0.303277 | − | 0.0329834i | ||||
\(459\) | 17.4829 | + | 7.95668i | 0.816031 | + | 0.371386i | ||||
\(460\) | 3.39595 | − | 8.52320i | 0.158337 | − | 0.397396i | ||||
\(461\) | −4.53440 | + | 4.61701i | −0.211188 | + | 0.215036i | −0.810907 | − | 0.585175i | \(-0.801026\pi\) |
0.599719 | + | 0.800210i | \(0.295279\pi\) | |||||||
\(462\) | 13.3276 | + | 10.0878i | 0.620058 | + | 0.469329i | ||||
\(463\) | 21.0824 | + | 33.6487i | 0.979782 | + | 1.56379i | 0.816610 | + | 0.577190i | \(0.195851\pi\) |
0.163173 | + | 0.986598i | \(0.447827\pi\) | |||||||
\(464\) | −6.33775 | − | 13.0741i | −0.294223 | − | 0.606950i | ||||
\(465\) | −3.47243 | − | 10.8772i | −0.161030 | − | 0.504418i | ||||
\(466\) | 3.43612 | + | 0.627226i | 0.159175 | + | 0.0290557i | ||||
\(467\) | −3.55599 | − | 8.92487i | −0.164552 | − | 0.412994i | 0.823460 | − | 0.567375i | \(-0.192041\pi\) |
−0.988011 | + | 0.154381i | \(0.950662\pi\) | |||||||
\(468\) | −21.9180 | + | 0.882911i | −1.01316 | + | 0.0408126i | ||||
\(469\) | −11.1484 | + | 6.70775i | −0.514784 | + | 0.309735i | ||||
\(470\) | −1.96851 | − | 1.73421i | −0.0908006 | − | 0.0799932i | ||||
\(471\) | −6.02477 | + | 19.1462i | −0.277607 | + | 0.882211i | ||||
\(472\) | 13.3169 | − | 9.54901i | 0.612960 | − | 0.439529i | ||||
\(473\) | 3.57114 | − | 6.18540i | 0.164201 | − | 0.284405i | ||||
\(474\) | 0.316736 | + | 15.7321i | 0.0145481 | + | 0.722599i | ||||
\(475\) | 19.0569 | + | 10.5484i | 0.874390 | + | 0.483995i | ||||
\(476\) | −23.8189 | + | 18.1067i | −1.09174 | + | 0.829918i | ||||
\(477\) | −5.11479 | − | 4.80487i | −0.234190 | − | 0.220000i | ||||
\(478\) | 4.08911 | − | 4.81407i | 0.187031 | − | 0.220190i | ||||
\(479\) | 2.67087 | + | 29.5053i | 0.122035 | + | 1.34813i | 0.794166 | + | 0.607701i | \(0.207908\pi\) |
−0.672131 | + | 0.740433i | \(0.734621\pi\) | |||||||
\(480\) | −10.1133 | + | 1.49246i | −0.461607 | + | 0.0681211i | ||||
\(481\) | −14.4333 | − | 23.0364i | −0.658104 | − | 1.05037i | ||||
\(482\) | 8.56499 | − | 1.56345i | 0.390125 | − | 0.0712130i | ||||
\(483\) | 20.3620 | + | 38.2149i | 0.926503 | + | 1.73884i | ||||
\(484\) | −0.881053 | + | 0.128153i | −0.0400479 | + | 0.00582512i | ||||
\(485\) | −0.402165 | − | 0.758564i | −0.0182614 | − | 0.0344446i | ||||
\(486\) | −9.06819 | − | 0.561533i | −0.411341 | − | 0.0254716i | ||||
\(487\) | 22.0700 | + | 16.7772i | 1.00009 | + | 0.760246i | 0.970939 | − | 0.239329i | \(-0.0769273\pi\) |
0.0291485 | + | 0.999575i | \(0.490720\pi\) | |||||||
\(488\) | −7.29786 | + | 1.88501i | −0.330359 | + | 0.0853305i | ||||
\(489\) | −4.15608 | + | 3.17300i | −0.187945 | + | 0.143488i | ||||
\(490\) | −8.14636 | − | 6.67017i | −0.368015 | − | 0.301328i | ||||
\(491\) | −2.19963 | + | 2.40774i | −0.0992680 | + | 0.108660i | −0.785925 | − | 0.618322i | \(-0.787813\pi\) |
0.686657 | + | 0.726981i | \(0.259077\pi\) | |||||||
\(492\) | −2.21811 | − | 10.9041i | −0.100000 | − | 0.491595i | ||||
\(493\) | −15.2737 | − | 20.8636i | −0.687892 | − | 0.939648i | ||||
\(494\) | −8.17304 | − | 12.0543i | −0.367723 | − | 0.542350i | ||||
\(495\) | −6.19933 | − | 9.06212i | −0.278639 | − | 0.407312i | ||||
\(496\) | −0.687986 | + | 12.6891i | −0.0308915 | + | 0.569760i | ||||
\(497\) | −59.2553 | − | 17.6104i | −2.65796 | − | 0.789936i | ||||
\(498\) | −12.3367 | + | 6.86214i | −0.552822 | + | 0.307500i | ||||
\(499\) | −16.3603 | − | 8.29884i | −0.732390 | − | 0.371507i | 0.0462905 | − | 0.998928i | \(-0.485260\pi\) |
−0.778680 | + | 0.627421i | \(0.784111\pi\) | |||||||
\(500\) | −4.77782 | + | 15.0742i | −0.213670 | + | 0.674138i | ||||
\(501\) | 12.5795 | − | 17.2583i | 0.562009 | − | 0.771046i | ||||
\(502\) | 0.605312 | + | 3.00762i | 0.0270164 | + | 0.134237i | ||||
\(503\) | −9.96920 | + | 2.19439i | −0.444505 | + | 0.0978428i | −0.431582 | − | 0.902074i | \(-0.642044\pi\) |
−0.0129224 | + | 0.999917i | \(0.504113\pi\) | |||||||
\(504\) | 16.4553 | − | 26.5075i | 0.732977 | − | 1.18074i | ||||
\(505\) | 10.7404 | + | 10.1738i | 0.477941 | + | 0.452730i | ||||
\(506\) | 9.73142 | + | 2.89214i | 0.432614 | + | 0.128571i | ||||
\(507\) | 8.55558 | − | 7.03495i | 0.379967 | − | 0.312433i | ||||
\(508\) | −10.1337 | − | 3.82711i | −0.449610 | − | 0.169801i | ||||
\(509\) | 31.1300 | − | 2.25214i | 1.37981 | − | 0.0998245i | 0.637797 | − | 0.770205i | \(-0.279846\pi\) |
0.742018 | + | 0.670380i | \(0.233869\pi\) | |||||||
\(510\) | −3.80801 | + | 1.29187i | −0.168622 | + | 0.0572051i | ||||
\(511\) | 0.523602 | − | 28.9970i | 0.0231628 | − | 1.28275i | ||||
\(512\) | 19.7672 | + | 4.35109i | 0.873595 | + | 0.192293i | ||||
\(513\) | 13.9718 | + | 25.9617i | 0.616868 | + | 1.14624i | ||||
\(514\) | 10.6334 | − | 4.91953i | 0.469019 | − | 0.216991i | ||||
\(515\) | 2.24731 | − | 0.580473i | 0.0990285 | − | 0.0255787i | ||||
\(516\) | −5.49352 | − | 2.52774i | −0.241839 | − | 0.111278i | ||||
\(517\) | −8.38088 | + | 11.4481i | −0.368591 | + | 0.503488i | ||||
\(518\) | 17.5270 | + | 0.633178i | 0.770090 | + | 0.0278203i | ||||
\(519\) | 26.5856 | − | 10.1035i | 1.16698 | − | 0.443493i | ||||
\(520\) | 7.09375 | − | 7.22299i | 0.311081 | − | 0.316749i | ||||
\(521\) | 11.4017 | + | 13.4231i | 0.499518 | + | 0.588078i | 0.952918 | − | 0.303229i | \(-0.0980649\pi\) |
−0.453400 | + | 0.891307i | \(0.649789\pi\) | |||||||
\(522\) | 10.2728 | + | 6.63703i | 0.449627 | + | 0.290495i | ||||
\(523\) | 14.3596 | − | 21.1788i | 0.627901 | − | 0.926085i | −0.372097 | − | 0.928194i | \(-0.621361\pi\) |
0.999998 | + | 0.00210925i | \(0.000671395\pi\) | |||||||
\(524\) | −1.69156 | − | 18.6868i | −0.0738960 | − | 0.816335i | ||||
\(525\) | −17.2668 | − | 27.4320i | −0.753584 | − | 1.19723i | ||||
\(526\) | 7.58521 | + | 1.10330i | 0.330731 | + | 0.0481061i | ||||
\(527\) | 2.85064 | + | 22.4349i | 0.124176 | + | 0.977278i | ||||
\(528\) | 2.86662 | + | 11.8789i | 0.124754 | + | 0.516965i | ||||
\(529\) | 2.47586 | + | 2.18118i | 0.107646 | + | 0.0948338i | ||||
\(530\) | 1.46912 | 0.0638145 | ||||||||
\(531\) | 9.03522 | − | 21.1982i | 0.392095 | − | 0.919925i | ||||
\(532\) | −45.9233 | −1.99103 | ||||||||
\(533\) | 12.7866 | + | 11.2647i | 0.553851 | + | 0.487930i | ||||
\(534\) | 7.85361 | + | 2.31633i | 0.339859 | + | 0.100237i | ||||
\(535\) | −2.26715 | − | 17.8427i | −0.0980176 | − | 0.771408i | ||||
\(536\) | 5.63453 | + | 0.819564i | 0.243374 | + | 0.0353998i | ||||
\(537\) | 10.9608 | − | 20.7783i | 0.472992 | − | 0.896649i | ||||
\(538\) | −0.136798 | − | 1.51122i | −0.00589777 | − | 0.0651531i | ||||
\(539\) | −31.9544 | + | 47.1292i | −1.37637 | + | 2.03000i | ||||
\(540\) | −7.15590 | + | 5.93399i | −0.307941 | + | 0.255358i | ||||
\(541\) | −11.4146 | − | 13.4383i | −0.490750 | − | 0.577756i | 0.459920 | − | 0.887961i | \(-0.347878\pi\) |
−0.950670 | + | 0.310205i | \(0.899602\pi\) | |||||||
\(542\) | −1.47184 | + | 1.49866i | −0.0632210 | + | 0.0643729i | ||||
\(543\) | 1.19903 | − | 7.41007i | 0.0514555 | − | 0.317997i | ||||
\(544\) | 20.2348 | + | 0.731001i | 0.867559 | + | 0.0313414i | ||||
\(545\) | −9.57610 | + | 13.0808i | −0.410195 | + | 0.560319i | ||||
\(546\) | 1.99868 | + | 21.5806i | 0.0855354 | + | 0.923566i | ||||
\(547\) | −0.486692 | + | 0.125711i | −0.0208095 | + | 0.00537501i | −0.260479 | − | 0.965480i | \(-0.583880\pi\) |
0.239669 | + | 0.970855i | \(0.422961\pi\) | |||||||
\(548\) | −8.41205 | + | 3.89183i | −0.359345 | + | 0.166251i | ||||
\(549\) | −7.39541 | + | 7.59293i | −0.315628 | + | 0.324059i | ||||
\(550\) | −7.42185 | − | 1.63367i | −0.316469 | − | 0.0696600i | ||||
\(551\) | 0.716518 | − | 39.6807i | 0.0305247 | − | 1.69045i | ||||
\(552\) | 3.70026 | − | 18.5848i | 0.157494 | − | 0.791023i | ||||
\(553\) | −75.7873 | + | 5.48293i | −3.22280 | + | 0.233158i | ||||
\(554\) | −0.671264 | − | 0.253511i | −0.0285193 | − | 0.0107707i | ||||
\(555\) | −10.7860 | − | 4.04791i | −0.457841 | − | 0.171824i | ||||
\(556\) | −9.82852 | − | 2.92099i | −0.416822 | − | 0.123878i | ||||
\(557\) | 15.5231 | + | 14.7043i | 0.657736 | + | 0.623041i | 0.941963 | − | 0.335716i | \(-0.108978\pi\) |
−0.284227 | + | 0.958757i | \(0.591737\pi\) | |||||||
\(558\) | −5.04976 | − | 9.43008i | −0.213774 | − | 0.399207i | ||||
\(559\) | 9.04432 | − | 1.99081i | 0.382534 | − | 0.0842021i | ||||
\(560\) | −2.15284 | − | 10.6968i | −0.0909741 | − | 0.452024i | ||||
\(561\) | 8.81480 | + | 19.8805i | 0.372161 | + | 0.839355i | ||||
\(562\) | −2.77234 | + | 8.74683i | −0.116944 | + | 0.368963i | ||||
\(563\) | −18.7204 | − | 9.49598i | −0.788970 | − | 0.400208i | 0.0112327 | − | 0.999937i | \(-0.496424\pi\) |
−0.800203 | + | 0.599729i | \(0.795275\pi\) | |||||||
\(564\) | 10.3059 | + | 6.17175i | 0.433956 | + | 0.259877i | ||||
\(565\) | −11.1287 | − | 3.30741i | −0.468189 | − | 0.139144i | ||||
\(566\) | −0.0542490 | + | 1.00056i | −0.00228025 | + | 0.0420568i | ||||
\(567\) | 0.427950 | − | 43.8719i | 0.0179722 | − | 1.84245i | ||||
\(568\) | 15.1815 | + | 22.3910i | 0.637002 | + | 0.939507i | ||||
\(569\) | 10.3040 | + | 14.0751i | 0.431966 | + | 0.590057i | 0.967001 | − | 0.254773i | \(-0.0820006\pi\) |
−0.535035 | + | 0.844830i | \(0.679702\pi\) | |||||||
\(570\) | −5.85303 | − | 1.95860i | −0.245156 | − | 0.0820366i | ||||
\(571\) | 19.1576 | − | 20.9701i | 0.801720 | − | 0.877571i | −0.192894 | − | 0.981220i | \(-0.561787\pi\) |
0.994614 | + | 0.103649i | \(0.0330518\pi\) | |||||||
\(572\) | −19.2155 | − | 15.7335i | −0.803438 | − | 0.657849i | ||||
\(573\) | −20.8801 | − | 8.70852i | −0.872277 | − | 0.363804i | ||||
\(574\) | −10.6448 | + | 2.74950i | −0.444304 | + | 0.114762i | ||||
\(575\) | −15.6727 | − | 11.9141i | −0.653597 | − | 0.496852i | ||||
\(576\) | 2.73091 | − | 0.932790i | 0.113788 | − | 0.0388662i | ||||
\(577\) | −5.80168 | − | 10.9431i | −0.241527 | − | 0.455569i | 0.732880 | − | 0.680358i | \(-0.238176\pi\) |
−0.974407 | + | 0.224789i | \(0.927831\pi\) | |||||||
\(578\) | −1.92343 | + | 0.279770i | −0.0800040 | + | 0.0116369i | ||||
\(579\) | −35.0615 | − | 1.19378i | −1.45711 | − | 0.0496118i | ||||
\(580\) | 12.3104 | − | 2.24713i | 0.511162 | − | 0.0933071i | ||||
\(581\) | −36.1940 | − | 57.7676i | −1.50158 | − | 2.39660i | ||||
\(582\) | −0.499570 | − | 0.630419i | −0.0207079 | − | 0.0261317i | ||||
\(583\) | −0.716284 | − | 7.91284i | −0.0296654 | − | 0.327716i | ||||
\(584\) | −8.21652 | + | 9.67324i | −0.340002 | + | 0.400281i | ||||
\(585\) | 3.25345 | − | 13.8598i | 0.134514 | − | 0.573030i | ||||
\(586\) | −0.682063 | + | 0.518491i | −0.0281758 | + | 0.0214187i | ||||
\(587\) | 15.5910 | + | 8.62997i | 0.643509 | + | 0.356197i | 0.772100 | − | 0.635501i | \(-0.219206\pi\) |
−0.128591 | + | 0.991698i | \(0.541045\pi\) | |||||||
\(588\) | 42.2279 | + | 23.2598i | 1.74145 | + | 0.959216i | ||||
\(589\) | −17.3559 | + | 30.0612i | −0.715136 | + | 1.23865i | ||||
\(590\) | 1.65985 | + | 4.52949i | 0.0683349 | + | 0.186476i | ||||
\(591\) | 12.1126 | − | 2.69256i | 0.498247 | − | 0.110757i | ||||
\(592\) | 9.62092 | + | 8.47581i | 0.395417 | + | 0.348354i | ||||
\(593\) | 11.6507 | − | 7.01001i | 0.478438 | − | 0.287866i | −0.255836 | − | 0.966720i | \(-0.582351\pi\) |
0.734273 | + | 0.678854i | \(0.237523\pi\) | |||||||
\(594\) | −7.25316 | − | 7.29392i | −0.297601 | − | 0.299273i | ||||
\(595\) | −7.18741 | − | 18.0390i | −0.294655 | − | 0.739529i | ||||
\(596\) | 26.5784 | + | 4.85160i | 1.08869 | + | 0.198729i | ||||
\(597\) | −16.4687 | − | 3.58921i | −0.674018 | − | 0.146897i | ||||
\(598\) | 5.74196 | + | 11.8450i | 0.234806 | + | 0.484380i | ||||
\(599\) | 19.6843 | + | 31.4173i | 0.804280 | + | 1.28368i | 0.955445 | + | 0.295168i | \(0.0953756\pi\) |
−0.151165 | + | 0.988508i | \(0.548303\pi\) | |||||||
\(600\) | −1.75882 | + | 14.0756i | −0.0718034 | + | 0.574634i | ||||
\(601\) | −1.18820 | + | 1.20985i | −0.0484675 | + | 0.0493506i | −0.737268 | − | 0.675600i | \(-0.763885\pi\) |
0.688801 | + | 0.724951i | \(0.258137\pi\) | |||||||
\(602\) | −2.21147 | + | 5.55038i | −0.0901329 | + | 0.226217i | ||||
\(603\) | 7.37051 | − | 3.12805i | 0.300150 | − | 0.127384i | ||||
\(604\) | −35.2987 | − | 3.83897i | −1.43629 | − | 0.156205i | ||||
\(605\) | 0.0728351 | − | 0.573219i | 0.00296117 | − | 0.0233047i | ||||
\(606\) | 11.6259 | + | 7.54548i | 0.472269 | + | 0.306514i | ||||
\(607\) | −0.264404 | + | 2.92089i | −0.0107318 | + | 0.118555i | −0.999528 | − | 0.0307156i | \(-0.990221\pi\) |
0.988796 | + | 0.149271i | \(0.0476927\pi\) | |||||||
\(608\) | 24.0461 | + | 19.6887i | 0.975196 | + | 0.798483i | ||||
\(609\) | −29.4237 | + | 51.2085i | −1.19231 | + | 2.07507i | ||||
\(610\) | 0.0400606 | − | 2.21855i | 0.00162201 | − | 0.0898265i | ||||
\(611\) | −18.2886 | + | 1.98900i | −0.739877 | + | 0.0804665i | ||||
\(612\) | 16.0722 | − | 8.98369i | 0.649682 | − | 0.363144i | ||||
\(613\) | 3.15779 | + | 19.2616i | 0.127542 | + | 0.777970i | 0.970698 | + | 0.240302i | \(0.0772465\pi\) |
−0.843156 | + | 0.537668i | \(0.819305\pi\) | |||||||
\(614\) | 1.02538 | − | 0.520129i | 0.0413811 | − | 0.0209907i | ||||
\(615\) | 7.20403 | + | 0.506159i | 0.290495 | + | 0.0204103i | ||||
\(616\) | 33.8596 | − | 10.0629i | 1.36424 | − | 0.405447i | ||||
\(617\) | −10.7611 | − | 5.45859i | −0.433224 | − | 0.219754i | 0.222222 | − | 0.974996i | \(-0.428669\pi\) |
−0.655447 | + | 0.755242i | \(0.727520\pi\) | |||||||
\(618\) | 1.97163 | − | 0.917145i | 0.0793106 | − | 0.0368930i | ||||
\(619\) | −1.10482 | − | 5.48951i | −0.0444063 | − | 0.220642i | 0.951912 | − | 0.306371i | \(-0.0991148\pi\) |
−0.996318 | + | 0.0857290i | \(0.972678\pi\) | |||||||
\(620\) | −10.3721 | − | 3.49476i | −0.416553 | − | 0.140353i | ||||
\(621\) | −9.11917 | − | 25.0386i | −0.365940 | − | 1.00476i | ||||
\(622\) | −0.881920 | − | 16.2661i | −0.0353618 | − | 0.652210i | ||||
\(623\) | −9.19572 | + | 38.4559i | −0.368419 | + | 1.54070i | ||||
\(624\) | −8.86456 | + | 13.1328i | −0.354866 | + | 0.525734i | ||||
\(625\) | 7.48181 | + | 4.87797i | 0.299272 | + | 0.195119i | ||||
\(626\) | 8.22251 | + | 3.10533i | 0.328637 | + | 0.124114i | ||||
\(627\) | −7.69552 | + | 32.4799i | −0.307329 | + | 1.29712i | ||||
\(628\) | 11.3653 | + | 15.5248i | 0.453524 | + | 0.619505i | ||||
\(629\) | 19.5521 | + | 11.7641i | 0.779592 | + | 0.469065i | ||||
\(630\) | 6.22307 | + | 6.75532i | 0.247933 | + | 0.269139i | ||||
\(631\) | −5.95625 | + | 36.3315i | −0.237114 | + | 1.44633i | 0.552901 | + | 0.833247i | \(0.313521\pi\) |
−0.790016 | + | 0.613087i | \(0.789928\pi\) | |||||||
\(632\) | 27.1817 | + | 19.1550i | 1.08123 | + | 0.761945i | ||||
\(633\) | −9.46385 | − | 6.14227i | −0.376154 | − | 0.244133i | ||||
\(634\) | −9.81858 | + | 4.11901i | −0.389946 | + | 0.163587i | ||||
\(635\) | 4.15278 | − | 5.67263i | 0.164798 | − | 0.225111i | ||||
\(636\) | −6.61510 | + | 1.22170i | −0.262306 | + | 0.0484437i | ||||
\(637\) | −73.0617 | + | 10.6271i | −2.89481 | + | 0.421062i | ||||
\(638\) | 3.70440 | + | 13.3420i | 0.146659 | + | 0.528216i | ||||
\(639\) | 34.5920 | + | 15.8300i | 1.36844 | + | 0.626225i | ||||
\(640\) | −5.81222 | + | 10.9630i | −0.229748 | + | 0.433351i | ||||
\(641\) | −11.0290 | − | 0.797908i | −0.435619 | − | 0.0315155i | −0.147394 | − | 0.989078i | \(-0.547088\pi\) |
−0.288226 | + | 0.957562i | \(0.593065\pi\) | |||||||
\(642\) | −5.12452 | − | 16.0523i | −0.202249 | − | 0.633534i | ||||
\(643\) | −7.83701 | − | 21.9420i | −0.309061 | − | 0.865308i | −0.990996 | − | 0.133894i | \(-0.957252\pi\) |
0.681934 | − | 0.731413i | \(-0.261139\pi\) | |||||||
\(644\) | 41.0752 | + | 5.97455i | 1.61859 | + | 0.235430i | ||||
\(645\) | 2.53456 | − | 2.99650i | 0.0997982 | − | 0.117987i | ||||
\(646\) | 10.6955 | + | 5.92022i | 0.420810 | + | 0.232928i | ||||
\(647\) | 18.4892 | − | 6.22972i | 0.726884 | − | 0.244916i | 0.0685563 | − | 0.997647i | \(-0.478161\pi\) |
0.658328 | + | 0.752732i | \(0.271264\pi\) | |||||||
\(648\) | −12.3081 | + | 14.7364i | −0.483508 | + | 0.578900i | ||||
\(649\) | 23.5870 | − | 11.1485i | 0.925873 | − | 0.437618i | ||||
\(650\) | −4.92685 | − | 8.53355i | −0.193247 | − | 0.334713i | ||||
\(651\) | 44.2062 | − | 26.7231i | 1.73258 | − | 1.04736i | ||||
\(652\) | 0.0904919 | + | 5.01143i | 0.00354393 | + | 0.196263i | ||||
\(653\) | 4.08633 | + | 32.1598i | 0.159910 | + | 1.25851i | 0.846864 | + | 0.531809i | \(0.178488\pi\) |
−0.686954 | + | 0.726701i | \(0.741053\pi\) | |||||||
\(654\) | −6.59659 | + | 13.6803i | −0.257947 | + | 0.534943i | ||||
\(655\) | 11.9795 | + | 2.18673i | 0.468078 | + | 0.0854426i | ||||
\(656\) | −7.29468 | − | 3.37488i | −0.284810 | − | 0.131767i | ||||
\(657\) | −2.81430 | + | 17.6244i | −0.109796 | + | 0.687591i | ||||
\(658\) | 5.55938 | − | 10.4861i | 0.216727 | − | 0.408791i | ||||
\(659\) | 14.4382 | − | 40.4241i | 0.562434 | − | 1.57470i | −0.235449 | − | 0.971887i | \(-0.575656\pi\) |
0.797883 | − | 0.602812i | \(-0.205953\pi\) | |||||||
\(660\) | −10.5188 | − | 0.358144i | −0.409442 | − | 0.0139408i | ||||
\(661\) | 16.7365 | + | 21.2104i | 0.650974 | + | 0.824990i | 0.993418 | − | 0.114548i | \(-0.0365421\pi\) |
−0.342444 | + | 0.939538i | \(0.611255\pi\) | |||||||
\(662\) | 6.76317 | + | 0.244326i | 0.262858 | + | 0.00949600i | ||||
\(663\) | −11.3224 | + | 25.8247i | −0.439724 | + | 1.00295i | ||||
\(664\) | −3.76040 | + | 29.5947i | −0.145932 | + | 1.14850i | ||||
\(665\) | 7.97358 | − | 28.7183i | 0.309202 | − | 1.11365i | ||||
\(666\) | −10.6256 | − | 1.89405i | −0.411734 | − | 0.0733931i | ||||
\(667\) | −5.80326 | + | 35.3983i | −0.224703 | + | 1.37063i | ||||
\(668\) | −6.18531 | − | 19.5149i | −0.239317 | − | 0.755053i | ||||
\(669\) | −5.68279 | − | 27.9363i | −0.219709 | − | 1.08008i | ||||
\(670\) | −0.676235 | + | 1.53373i | −0.0261252 | + | 0.0592532i | ||||
\(671\) | −11.9689 | + | 0.865905i | −0.462054 | + | 0.0334279i | ||||
\(672\) | −17.2075 | − | 42.9283i | −0.663795 | − | 1.65600i | ||||
\(673\) | −28.3620 | + | 14.3867i | −1.09327 | + | 0.554566i | −0.904076 | − | 0.427373i | \(-0.859439\pi\) |
−0.189198 | + | 0.981939i | \(0.560589\pi\) | |||||||
\(674\) | 4.43412 | − | 4.20022i | 0.170796 | − | 0.161787i | ||||
\(675\) | 8.16098 | + | 18.2016i | 0.314116 | + | 0.700581i | ||||
\(676\) | −0.574827 | − | 10.6021i | −0.0221087 | − | 0.407772i | ||||
\(677\) | −21.6333 | − | 23.6801i | −0.831437 | − | 0.910100i | 0.165665 | − | 0.986182i | \(-0.447023\pi\) |
−0.997102 | + | 0.0760826i | \(0.975759\pi\) | |||||||
\(678\) | −10.8154 | − | 1.15354i | −0.415362 | − | 0.0443013i | ||||
\(679\) | 2.91455 | − | 2.56765i | 0.111850 | − | 0.0985373i | ||||
\(680\) | −2.56755 | + | 8.10069i | −0.0984609 | + | 0.310647i | ||||
\(681\) | −1.23190 | + | 1.25956i | −0.0472065 | + | 0.0482665i | ||||
\(682\) | 2.81659 | − | 11.7788i | 0.107853 | − | 0.451032i | ||||
\(683\) | −5.56100 | + | 5.26766i | −0.212786 | + | 0.201562i | −0.786668 | − | 0.617377i | \(-0.788195\pi\) |
0.573882 | + | 0.818938i | \(0.305437\pi\) | |||||||
\(684\) | 27.9835 | + | 3.95178i | 1.06998 | + | 0.151100i | ||||
\(685\) | −0.973195 | − | 5.93623i | −0.0371839 | − | 0.226812i | ||||
\(686\) | 12.1020 | − | 24.9650i | 0.462055 | − | 0.953170i | ||||
\(687\) | −3.78852 | + | 19.0281i | −0.144541 | + | 0.725968i | ||||
\(688\) | −3.82160 | + | 2.11534i | −0.145697 | + | 0.0806466i | ||||
\(689\) | 6.94843 | − | 7.60582i | 0.264714 | − | 0.289759i | ||||
\(690\) | 4.98031 | + | 2.51330i | 0.189597 | + | 0.0956795i | ||||
\(691\) | 8.91425 | + | 6.28188i | 0.339114 | + | 0.238974i | 0.733067 | − | 0.680156i | \(-0.238088\pi\) |
−0.393953 | + | 0.919131i | \(0.628893\pi\) | |||||||
\(692\) | 7.29350 | − | 26.2688i | 0.277257 | − | 0.998591i | ||||
\(693\) | 33.3508 | − | 36.8118i | 1.26689 | − | 1.39836i | ||||
\(694\) | 8.22950 | + | 0.895012i | 0.312387 | + | 0.0339742i | ||||
\(695\) | 3.53316 | − | 5.63912i | 0.134020 | − | 0.213904i | ||||
\(696\) | 24.1601 | − | 9.18169i | 0.915787 | − | 0.348031i | ||||
\(697\) | −13.8494 | − | 3.57725i | −0.524583 | − | 0.135498i | ||||
\(698\) | −6.90356 | + | 1.26017i | −0.261303 | + | 0.0476981i | ||||
\(699\) | 2.75619 | − | 10.0074i | 0.104249 | − | 0.378515i | ||||
\(700\) | −30.9901 | − | 2.24202i | −1.17132 | − | 0.0847404i | ||||
\(701\) | 15.6127 | + | 7.22322i | 0.589685 | + | 0.272817i | 0.691956 | − | 0.721939i | \(-0.256749\pi\) |
−0.102272 | + | 0.994757i | \(0.532611\pi\) | |||||||
\(702\) | 0.639152 | − | 13.3222i | 0.0241233 | − | 0.502814i | ||||
\(703\) | 12.9635 | + | 32.5360i | 0.488929 | + | 1.22712i | ||||
\(704\) | 3.01286 | + | 1.26393i | 0.113551 | + | 0.0476361i | ||||
\(705\) | −5.64890 | + | 5.37321i | −0.212750 | + | 0.202367i | ||||
\(706\) | 1.40546 | − | 6.98332i | 0.0528952 | − | 0.262821i | ||||
\(707\) | −33.4645 | + | 57.9622i | −1.25856 | + | 2.17989i | ||||
\(708\) | −11.2406 | − | 19.0149i | −0.422447 | − | 0.714624i | ||||
\(709\) | −10.7611 | − | 18.6388i | −0.404143 | − | 0.699996i | 0.590078 | − | 0.807346i | \(-0.299097\pi\) |
−0.994221 | + | 0.107350i | \(0.965764\pi\) | |||||||
\(710\) | −7.54704 | + | 2.54289i | −0.283235 | + | 0.0954331i | ||||
\(711\) | 46.6530 | + | 3.18059i | 1.74962 | + | 0.119281i | ||||
\(712\) | 13.7753 | − | 10.4717i | 0.516252 | − | 0.392444i | ||||
\(713\) | 19.4345 | − | 24.6297i | 0.727828 | − | 0.922388i | ||||
\(714\) | −9.69084 | − | 15.3960i | −0.362671 | − | 0.576182i | ||||
\(715\) | 13.1753 | − | 9.28465i | 0.492728 | − | 0.347226i | ||||
\(716\) | −9.82286 | − | 20.2635i | −0.367098 | − | 0.757283i | ||||
\(717\) | −13.1802 | − | 13.3647i | −0.492223 | − | 0.499115i | ||||
\(718\) | 5.39482 | − | 15.1044i | 0.201333 | − | 0.563690i | ||||
\(719\) | −7.33467 | − | 26.4171i | −0.273537 | − | 0.985191i | −0.964886 | − | 0.262670i | \(-0.915397\pi\) |
0.691349 | − | 0.722521i | \(-0.257017\pi\) | |||||||
\(720\) | 0.391358 | + | 6.70340i | 0.0145851 | + | 0.249821i | ||||
\(721\) | 4.91859 | + | 9.27745i | 0.183178 | + | 0.345510i | ||||
\(722\) | 3.10223 | + | 7.03600i | 0.115453 | + | 0.261853i | ||||
\(723\) | −2.38605 | − | 25.7633i | −0.0887383 | − | 0.958149i | ||||
\(724\) | −5.04184 | − | 5.13371i | −0.187379 | − | 0.190793i | ||||
\(725\) | 2.42077 | − | 26.7424i | 0.0899051 | − | 0.993189i | ||||
\(726\) | −0.0304293 | − | 0.540485i | −0.00112934 | − | 0.0200593i | ||||
\(727\) | −15.1774 | − | 47.8852i | −0.562898 | − | 1.77596i | −0.628147 | − | 0.778095i | \(-0.716186\pi\) |
0.0652481 | − | 0.997869i | \(-0.479216\pi\) | |||||||
\(728\) | 39.2449 | + | 23.6129i | 1.45451 | + | 0.875151i | ||||
\(729\) | −4.03603 | + | 26.6966i | −0.149482 | + | 0.988764i | ||||
\(730\) | −2.09678 | − | 3.09252i | −0.0776052 | − | 0.114459i | ||||
\(731\) | −6.01450 | + | 4.92463i | −0.222454 | + | 0.182144i | ||||
\(732\) | 1.66454 | + | 10.0229i | 0.0615232 | + | 0.370458i | ||||
\(733\) | 4.39657 | + | 18.3861i | 0.162391 | + | 0.679108i | 0.992577 | + | 0.121621i | \(0.0388091\pi\) |
−0.830186 | + | 0.557487i | \(0.811766\pi\) | |||||||
\(734\) | −15.9651 | + | 4.74475i | −0.589281 | + | 0.175132i | ||||
\(735\) | −21.8775 | + | 22.3688i | −0.806964 | + | 0.825085i | ||||
\(736\) | −18.9460 | − | 20.7385i | −0.698360 | − | 0.764432i | ||||
\(737\) | 8.59054 | + | 2.89449i | 0.316436 | + | 0.106620i | ||||
\(738\) | 6.72302 | − | 0.759419i | 0.247478 | − | 0.0279546i | ||||
\(739\) | 30.3257 | − | 6.67518i | 1.11555 | − | 0.245551i | 0.381313 | − | 0.924446i | \(-0.375472\pi\) |
0.734235 | + | 0.678896i | \(0.237541\pi\) | |||||||
\(740\) | −9.25083 | + | 6.03134i | −0.340067 | + | 0.221716i | ||||
\(741\) | −37.8227 | + | 21.0384i | −1.38945 | + | 0.772863i | ||||
\(742\) | 1.54573 | + | 6.46414i | 0.0567456 | + | 0.237306i | ||||
\(743\) | 25.0336 | + | 16.3213i | 0.918392 | + | 0.598771i | 0.915979 | − | 0.401226i | \(-0.131416\pi\) |
0.00241295 | + | 0.999997i | \(0.499232\pi\) | |||||||
\(744\) | −22.3771 | − | 3.20743i | −0.820383 | − | 0.117590i | ||||
\(745\) | −7.64872 | + | 15.7785i | −0.280227 | + | 0.578079i | ||||
\(746\) | −18.5115 | + | 2.01325i | −0.677754 | + | 0.0737102i | ||||
\(747\) | 17.0839 | + | 38.3154i | 0.625067 | + | 1.40189i | ||||
\(748\) | 20.3588 | + | 4.48131i | 0.744391 | + | 0.163853i | ||||
\(749\) | 76.1227 | − | 28.7487i | 2.78146 | − | 1.05045i | ||||
\(750\) | −8.87399 | − | 3.70110i | −0.324032 | − | 0.135145i | ||||
\(751\) | 21.6866 | + | 22.0817i | 0.791354 | + | 0.805773i | 0.984498 | − | 0.175398i | \(-0.0561211\pi\) |
−0.193143 | + | 0.981171i | \(0.561868\pi\) | |||||||
\(752\) | 8.00134 | − | 3.35666i | 0.291779 | − | 0.122405i | ||||
\(753\) | 9.06160 | − | 1.00454i | 0.330223 | − | 0.0366075i | ||||
\(754\) | −9.53248 | + | 15.2144i | −0.347153 | + | 0.554075i | ||||
\(755\) | 8.52957 | − | 21.4076i | 0.310423 | − | 0.779102i | ||||
\(756\) | −33.6387 | − | 25.2425i | −1.22343 | − | 0.918063i | ||||
\(757\) | −25.3638 | − | 29.8606i | −0.921862 | − | 1.08530i | −0.996115 | − | 0.0880607i | \(-0.971933\pi\) |
0.0742528 | − | 0.997239i | \(-0.476343\pi\) | |||||||
\(758\) | −14.7259 | + | 0.531987i | −0.534868 | + | 0.0193226i | ||||
\(759\) | 11.1087 | − | 28.0498i | 0.403220 | − | 1.01814i | ||||
\(760\) | −10.6618 | + | 7.51339i | −0.386744 | + | 0.272539i | ||||
\(761\) | 15.8629 | + | 44.4128i | 0.575030 | + | 1.60996i | 0.776255 | + | 0.630418i | \(0.217117\pi\) |
−0.201226 | + | 0.979545i | \(0.564493\pi\) | |||||||
\(762\) | 2.86069 | − | 5.93263i | 0.103632 | − | 0.214916i | ||||
\(763\) | −67.6310 | − | 28.3720i | −2.44841 | − | 1.02713i | ||||
\(764\) | −18.5819 | + | 11.1804i | −0.672271 | + | 0.404492i | ||||
\(765\) | 2.82738 | + | 11.6106i | 0.102224 | + | 0.419783i | ||||
\(766\) | 17.0827 | 0.617222 | ||||||||
\(767\) | 31.3002 | + | 12.8297i | 1.13019 | + | 0.463252i | ||||
\(768\) | −2.48914 | + | 7.91027i | −0.0898190 | + | 0.285437i | ||||
\(769\) | 4.95773 | − | 24.6335i | 0.178780 | − | 0.888307i | −0.784566 | − | 0.620045i | \(-0.787114\pi\) |
0.963346 | − | 0.268261i | \(-0.0864491\pi\) | |||||||
\(770\) | 0.187741 | + | 10.3971i | 0.00676571 | + | 0.374685i | ||||
\(771\) | −11.7793 | − | 32.7647i | −0.424220 | − | 1.17999i | ||||
\(772\) | −20.8311 | + | 26.3996i | −0.749728 | + | 0.950144i | ||||
\(773\) | 18.0100 | − | 21.2030i | 0.647775 | − | 0.762620i | −0.336032 | − | 0.941851i | \(-0.609085\pi\) |
0.983807 | + | 0.179231i | \(0.0573609\pi\) | |||||||
\(774\) | 1.82519 | − | 3.19184i | 0.0656050 | − | 0.114728i | ||||
\(775\) | −13.1797 | + | 19.4387i | −0.473430 | + | 0.698257i | ||||
\(776\) | −1.69873 | + | 0.0613683i | −0.0609809 | + | 0.00220299i | ||||
\(777\) | 6.46236 | − | 51.7175i | 0.231836 | − | 1.85536i | ||||
\(778\) | −7.20403 | − | 1.86078i | −0.258277 | − | 0.0667121i | ||||
\(779\) | −13.5999 | − | 17.2354i | −0.487266 | − | 0.617521i | ||||
\(780\) | −8.85627 | − | 10.3827i | −0.317105 | − | 0.371759i | ||||
\(781\) | 17.3759 | + | 39.4094i | 0.621760 | + | 1.41018i | ||||
\(782\) | −8.79619 | − | 6.68669i | −0.314551 | − | 0.239116i | ||||
\(783\) | 22.3360 | − | 28.6721i | 0.798224 | − | 1.02466i | ||||
\(784\) | 31.6046 | − | 14.6218i | 1.12873 | − | 0.522208i | ||||
\(785\) | −11.6818 | + | 4.41176i | −0.416940 | + | 0.157463i | ||||
\(786\) | 11.4085 | − | 0.0236752i | 0.406927 | − | 0.000844468i | ||||
\(787\) | 5.35186 | − | 2.96238i | 0.190773 | − | 0.105597i | −0.386010 | − | 0.922495i | \(-0.626147\pi\) |
0.576783 | + | 0.816897i | \(0.304308\pi\) | |||||||
\(788\) | 4.79857 | − | 10.8834i | 0.170942 | − | 0.387704i | ||||
\(789\) | 5.25156 | − | 22.1649i | 0.186961 | − | 0.789091i | ||||
\(790\) | −7.57422 | + | 6.20171i | −0.269479 | + | 0.220647i | ||||
\(791\) | 2.84356 | − | 52.4464i | 0.101105 | − | 1.86478i | ||||
\(792\) | −21.4984 | + | 3.21820i | −0.763913 | + | 0.114354i | ||||
\(793\) | −11.2962 | − | 10.7004i | −0.401141 | − | 0.379981i | ||||
\(794\) | 16.7388 | − | 10.9133i | 0.594039 | − | 0.387300i | ||||
\(795\) | 0.384572 | − | 4.34889i | 0.0136393 | − | 0.154239i | ||||
\(796\) | −12.1234 | + | 10.6804i | −0.429703 | + | 0.378558i | ||||
\(797\) | 17.7266 | − | 15.6167i | 0.627908 | − | 0.553173i | −0.286442 | − | 0.958098i | \(-0.592472\pi\) |
0.914350 | + | 0.404925i | \(0.132702\pi\) | |||||||
\(798\) | 2.45959 | − | 27.8141i | 0.0870687 | − | 0.984608i | ||||
\(799\) | 12.9353 | − | 8.43354i | 0.457619 | − | 0.298357i | ||||
\(800\) | 15.2656 | + | 14.4603i | 0.539720 | + | 0.511250i | ||||
\(801\) | 8.91264 | − | 22.6419i | 0.314912 | − | 0.800011i | ||||
\(802\) | 0.580405 | − | 10.7049i | 0.0204948 | − | 0.378004i | ||||
\(803\) | −15.6343 | + | 12.8012i | −0.551723 | + | 0.451746i | ||||
\(804\) | 1.76949 | − | 7.46836i | 0.0624051 | − | 0.263389i | ||||
\(805\) | −10.8680 | + | 24.6491i | −0.383047 | + | 0.868766i | ||||
\(806\) | 13.7389 | − | 7.60478i | 0.483931 | − | 0.267867i | ||||
\(807\) | −4.50931 | + | 0.00935785i | −0.158735 | + | 0.000329412i | ||||
\(808\) | 27.4007 | − | 10.3482i | 0.963954 | − | 0.364049i | ||||
\(809\) | −17.9862 | + | 8.32132i | −0.632363 | + | 0.292562i | −0.709766 | − | 0.704438i | \(-0.751199\pi\) |
0.0774031 | + | 0.997000i | \(0.475337\pi\) | |||||||
\(810\) | −3.21074 | − | 4.65188i | −0.112814 | − | 0.163450i | ||||
\(811\) | −24.2714 | − | 18.4506i | −0.852283 | − | 0.647889i | 0.0850294 | − | 0.996378i | \(-0.472902\pi\) |
−0.937313 | + | 0.348490i | \(0.886695\pi\) | |||||||
\(812\) | 22.8398 | + | 51.8016i | 0.801519 | + | 1.81788i | ||||
\(813\) | 4.05104 | + | 4.74925i | 0.142076 | + | 0.166563i | ||||
\(814\) | −7.56942 | − | 9.59285i | −0.265308 | − | 0.336229i | ||||
\(815\) | −3.14962 | − | 0.813536i | −0.110326 | − | 0.0284969i | ||||
\(816\) | 1.64905 | − | 13.1971i | 0.0577283 | − | 0.461993i | ||||
\(817\) | −11.9235 | + | 0.430748i | −0.417151 | + | 0.0150700i | ||||
\(818\) | −0.844600 | + | 1.24569i | −0.0295307 | + | 0.0435546i | ||||
\(819\) | 64.4061 | − | 0.267316i | 2.25053 | − | 0.00934078i | ||||
\(820\) | 4.48161 | − | 5.27616i | 0.156505 | − | 0.184251i | ||||
\(821\) | −29.6536 | + | 37.5805i | −1.03492 | + | 1.31157i | −0.0859146 | + | 0.996303i | \(0.527381\pi\) |
−0.949003 | + | 0.315266i | \(0.897906\pi\) | |||||||
\(822\) | −1.90660 | − | 5.30331i | −0.0665003 | − | 0.184974i | ||||
\(823\) | −1.01785 | − | 56.3685i | −0.0354800 | − | 1.96488i | −0.203439 | − | 0.979088i | \(-0.565212\pi\) |
0.167959 | − | 0.985794i | \(-0.446282\pi\) | |||||||
\(824\) | 0.906674 | − | 4.50500i | 0.0315855 | − | 0.156939i | ||||
\(825\) | −6.77881 | + | 21.5425i | −0.236008 | + | 0.750013i | ||||
\(826\) | −18.1834 | + | 12.0690i | −0.632681 | + | 0.419936i | ||||
\(827\) | 14.4164 | 0.501309 | 0.250655 | − | 0.968077i | \(-0.419354\pi\) | ||||
0.250655 | + | 0.968077i | \(0.419354\pi\) | |||||||
\(828\) | −24.5151 | − | 7.17520i | −0.851960 | − | 0.249355i | ||||
\(829\) | 6.87987 | − | 4.13948i | 0.238948 | − | 0.143770i | −0.391044 | − | 0.920372i | \(-0.627886\pi\) |
0.629992 | + | 0.776602i | \(0.283058\pi\) | |||||||
\(830\) | −8.09860 | − | 3.39746i | −0.281107 | − | 0.117927i | ||||
\(831\) | −0.926159 | + | 1.92071i | −0.0321281 | + | 0.0666288i | ||||
\(832\) | 1.42494 | + | 3.98953i | 0.0494008 | + | 0.138312i | ||||
\(833\) | 50.6577 | − | 35.6985i | 1.75518 | − | 1.23688i | ||||
\(834\) | 2.29554 | − | 5.79633i | 0.0794881 | − | 0.200711i | ||||
\(835\) | 13.2776 | − | 0.479666i | 0.459491 | − | 0.0165995i | ||||
\(836\) | 20.7140 | + | 24.3864i | 0.716410 | + | 0.843422i | ||||
\(837\) | −29.2368 | + | 12.4798i | −1.01057 | + | 0.431365i | ||||
\(838\) | −0.637906 | + | 1.60102i | −0.0220361 | + | 0.0553064i | ||||
\(839\) | −29.6788 | + | 47.3690i | −1.02463 | + | 1.63536i | −0.289822 | + | 0.957081i | \(0.593596\pi\) |
−0.734804 | + | 0.678279i | \(0.762726\pi\) | |||||||
\(840\) | 19.2919 | − | 2.13864i | 0.665633 | − | 0.0737900i | ||||
\(841\) | −18.3741 | + | 7.70814i | −0.633589 | + | 0.265798i | ||||
\(842\) | −0.0926320 | − | 0.0943197i | −0.00319231 | − | 0.00325047i | ||||
\(843\) | 25.1666 | + | 10.4963i | 0.866785 | + | 0.361513i | ||||
\(844\) | −10.1175 | + | 3.82100i | −0.348259 | + | 0.131524i | ||||
\(845\) | 6.72983 | + | 1.48135i | 0.231513 | + | 0.0509599i | ||||
\(846\) | −4.28997 | + | 5.91134i | −0.147492 | + | 0.203236i | ||||
\(847\) | 2.59880 | − | 0.282637i | 0.0892959 | − | 0.00971151i | ||||
\(848\) | −2.11953 | + | 4.37237i | −0.0727851 | + | 0.150148i | ||||
\(849\) | 2.94767 | + | 0.422505i | 0.101164 | + | 0.0145003i | ||||
\(850\) | 6.92856 | + | 4.51726i | 0.237648 | + | 0.154941i | ||||
\(851\) | −7.36208 | − | 30.7877i | −0.252369 | − | 1.05539i | ||||
\(852\) | 31.8679 | − | 17.7261i | 1.09178 | − | 0.607285i | ||||
\(853\) | 18.4515 | − | 12.0300i | 0.631767 | − | 0.411898i | −0.189950 | − | 0.981794i | \(-0.560833\pi\) |
0.821717 | + | 0.569896i | \(0.193016\pi\) | |||||||
\(854\) | 9.80379 | − | 2.15798i | 0.335479 | − | 0.0738444i | ||||
\(855\) | −7.32998 | + | 16.8134i | −0.250680 | + | 0.575006i | ||||
\(856\) | −33.7456 | − | 11.3702i | −1.15340 | − | 0.388626i | ||||
\(857\) | −23.7414 | − | 25.9876i | −0.810990 | − | 0.887719i | 0.184475 | − | 0.982837i | \(-0.440941\pi\) |
−0.995466 | + | 0.0951185i | \(0.969677\pi\) | |||||||
\(858\) | 10.5583 | − | 10.7954i | 0.360456 | − | 0.368550i | ||||
\(859\) | 35.9608 | − | 10.6874i | 1.22697 | − | 0.364649i | 0.394589 | − | 0.918858i | \(-0.370887\pi\) |
0.832378 | + | 0.554209i | \(0.186979\pi\) | |||||||
\(860\) | −0.874937 | − | 3.65892i | −0.0298351 | − | 0.124768i | ||||
\(861\) | 5.35260 | + | 32.2303i | 0.182416 | + | 1.09841i | ||||
\(862\) | 12.8792 | − | 10.5454i | 0.438666 | − | 0.359176i | ||||
\(863\) | −32.4704 | − | 47.8903i | −1.10531 | − | 1.63020i | −0.696448 | − | 0.717607i | \(-0.745237\pi\) |
−0.408858 | − | 0.912598i | \(-0.634073\pi\) | |||||||
\(864\) | 6.79140 | + | 27.6392i | 0.231048 | + | 0.940306i | ||||
\(865\) | 15.1609 | + | 9.12202i | 0.515487 | + | 0.310158i | ||||
\(866\) | 6.46901 | + | 20.4099i | 0.219826 | + | 0.693558i | ||||
\(867\) | 0.324680 | + | 5.76696i | 0.0110267 | + | 0.195856i | ||||
\(868\) | 4.46401 | − | 49.3142i | 0.151518 | − | 1.67383i | ||||
\(869\) | 37.0959 | + | 37.7718i | 1.25839 | + | 1.28132i | ||||
\(870\) | 0.701676 | + | 7.57632i | 0.0237890 | + | 0.256861i | ||||
\(871\) | 4.74195 | + | 10.7550i | 0.160675 | + | 0.364418i | ||||
\(872\) | 15.0339 | + | 28.3570i | 0.509113 | + | 0.960290i | ||||
\(873\) | −1.99694 | + | 1.31380i | −0.0675861 | + | 0.0444655i | ||||
\(874\) | −4.53707 | − | 16.3410i | −0.153469 | − | 0.552744i | ||||
\(875\) | 15.6171 | − | 43.7247i | 0.527956 | − | 1.47817i | ||||
\(876\) | 12.0130 | + | 12.1812i | 0.405881 | + | 0.411564i | ||||
\(877\) | −1.57920 | − | 3.25771i | −0.0533257 | − | 0.110005i | 0.871501 | − | 0.490393i | \(-0.163147\pi\) |
−0.924827 | + | 0.380388i | \(0.875790\pi\) | |||||||
\(878\) | 4.41894 | − | 3.11404i | 0.149132 | − | 0.105094i | ||||
\(879\) | 1.35629 | + | 2.15477i | 0.0457466 | + | 0.0726785i | ||||
\(880\) | −4.70923 | + | 5.96809i | −0.158748 | + | 0.201184i | ||||
\(881\) | −0.711886 | + | 0.541162i | −0.0239841 | + | 0.0182322i | −0.617098 | − | 0.786887i | \(-0.711692\pi\) |
0.593114 | + | 0.805119i | \(0.297899\pi\) | |||||||
\(882\) | −16.3493 | + | 24.3301i | −0.550508 | + | 0.819239i | ||||
\(883\) | −2.93936 | + | 0.990384i | −0.0989172 | + | 0.0333291i | −0.368325 | − | 0.929697i | \(-0.620069\pi\) |
0.269408 | + | 0.963026i | \(0.413172\pi\) | |||||||
\(884\) | 13.5148 | + | 23.4083i | 0.454551 | + | 0.787306i | ||||
\(885\) | 13.8427 | − | 3.72780i | 0.465317 | − | 0.125309i | ||||
\(886\) | 1.61420 | − | 2.79588i | 0.0542301 | − | 0.0939294i | ||||
\(887\) | 7.41286 | − | 36.8323i | 0.248899 | − | 1.23671i | −0.636280 | − | 0.771458i | \(-0.719528\pi\) |
0.885179 | − | 0.465250i | \(-0.154036\pi\) | |||||||
\(888\) | −16.5265 | + | 15.7199i | −0.554593 | + | 0.527526i | ||||
\(889\) | 29.3289 | + | 12.3038i | 0.983661 | + | 0.412657i | ||||
\(890\) | 1.88548 | + | 4.73219i | 0.0632014 | + | 0.158624i | ||||
\(891\) | −23.4901 | + | 19.5615i | −0.786948 | + | 0.655334i | ||||
\(892\) | −24.8017 | − | 11.4745i | −0.830422 | − | 0.384194i | ||||
\(893\) | 23.6395 | + | 1.71023i | 0.791064 | + | 0.0572306i | ||||
\(894\) | −4.36194 | + | 15.8377i | −0.145885 | + | 0.529693i | ||||
\(895\) | 14.3774 | − | 2.62443i | 0.480582 | − | 0.0877251i | ||||
\(896\) | −54.3526 | − | 14.0391i | −1.81579 | − | 0.469013i | ||||
\(897\) | 36.5667 | − | 13.8967i | 1.22093 | − | 0.463996i | ||||
\(898\) | −2.63176 | + | 4.20045i | −0.0878231 | + | 0.140171i | ||||
\(899\) | 42.5410 | + | 4.62661i | 1.41882 | + | 0.154306i | ||||
\(900\) | 18.6910 | + | 4.03293i | 0.623032 | + | 0.134431i | ||||
\(901\) | −2.31339 | + | 8.33209i | −0.0770703 | + | 0.277582i | ||||
\(902\) | 6.26145 | + | 4.41245i | 0.208483 | + | 0.146919i | ||||
\(903\) | 15.8513 | + | 7.99932i | 0.527499 | + | 0.266201i | ||||
\(904\) | −15.5032 | + | 16.9700i | −0.515630 | + | 0.564414i | ||||
\(905\) | 4.08578 | − | 2.26157i | 0.135816 | − | 0.0751772i | ||||
\(906\) | 4.21568 | − | 21.1736i | 0.140057 | − | 0.703444i | ||||
\(907\) | −8.96020 | + | 18.4839i | −0.297518 | + | 0.613749i | −0.994662 | − | 0.103182i | \(-0.967097\pi\) |
0.697144 | + | 0.716931i | \(0.254454\pi\) | |||||||
\(908\) | 0.273226 | + | 1.66660i | 0.00906732 | + | 0.0553082i | ||||
\(909\) | 25.3794 | − | 32.4397i | 0.841782 | − | 1.07596i | ||||
\(910\) | −9.78878 | + | 9.27243i | −0.324495 | + | 0.307378i | ||||
\(911\) | 2.33401 | − | 9.76067i | 0.0773293 | − | 0.323385i | −0.920381 | − | 0.391024i | \(-0.872121\pi\) |
0.997710 | + | 0.0676382i | \(0.0215464\pi\) | |||||||
\(912\) | 14.2734 | − | 14.5940i | 0.472641 | − | 0.483254i | ||||
\(913\) | −14.3505 | + | 45.2764i | −0.474933 | + | 1.49843i | ||||
\(914\) | −5.08335 | + | 4.47831i | −0.168142 | + | 0.148129i | ||||
\(915\) | −6.55686 | − | 0.699337i | −0.216763 | − | 0.0231194i | ||||
\(916\) | 12.5439 | + | 13.7307i | 0.414462 | + | 0.453675i | ||||
\(917\) | 2.98259 | + | 55.0106i | 0.0984938 | + | 1.81661i | ||||
\(918\) | 4.58029 | + | 10.2155i | 0.151172 | + | 0.337163i | ||||
\(919\) | −7.45297 | + | 7.05982i | −0.245851 | + | 0.232882i | −0.800695 | − | 0.599072i | \(-0.795536\pi\) |
0.554845 | + | 0.831954i | \(0.312778\pi\) | |||||||
\(920\) | 10.5137 | − | 5.33311i | 0.346627 | − | 0.175828i | ||||
\(921\) | −1.27127 | − | 3.17149i | −0.0418898 | − | 0.104504i | ||||
\(922\) | −3.76189 | + | 0.272159i | −0.123891 | + | 0.00896307i | ||||
\(923\) | −22.5300 | + | 51.0990i | −0.741584 | + | 1.68194i | ||||
\(924\) | −9.49144 | − | 46.6594i | −0.312246 | − | 1.53498i | ||||
\(925\) | 7.15964 | + | 22.5889i | 0.235408 | + | 0.742719i | ||||
\(926\) | −3.74415 | + | 22.8383i | −0.123041 | + | 0.750514i | ||||
\(927\) | −2.19882 | − | 6.07649i | −0.0722186 | − | 0.199578i | ||||
\(928\) | 10.2497 | − | 36.9161i | 0.336463 | − | 1.21183i | ||||
\(929\) | 0.699402 | − | 5.50436i | 0.0229466 | − | 0.180592i | −0.976433 | − | 0.215823i | \(-0.930757\pi\) |
0.999379 | + | 0.0352303i | \(0.0112165\pi\) | |||||||
\(930\) | 2.67217 | − | 6.09482i | 0.0876238 | − | 0.199857i | ||||
\(931\) | 95.0584 | + | 3.43408i | 3.11541 | + | 0.112547i | ||||
\(932\) | −6.16352 | − | 7.81113i | −0.201893 | − | 0.255862i | ||||
\(933\) | −48.3816 | − | 1.64731i | −1.58394 | − | 0.0539304i | ||||
\(934\) | 1.88342 | − | 5.27320i | 0.0616275 | − | 0.172544i | ||||
\(935\) | −6.33725 | + | 11.9533i | −0.207250 | + | 0.390916i | ||||
\(936\) | −21.8821 | − | 17.7657i | −0.715237 | − | 0.580689i | ||||
\(937\) | 0.0918176 | + | 0.0424793i | 0.00299955 | + | 0.00138774i | 0.421388 | − | 0.906880i | \(-0.361543\pi\) |
−0.418389 | + | 0.908268i | \(0.637405\pi\) | |||||||
\(938\) | −7.45992 | − | 1.36173i | −0.243575 | − | 0.0444620i | ||||
\(939\) | 11.3448 | − | 23.5274i | 0.370223 | − | 0.767786i | ||||
\(940\) | 0.942005 | + | 7.41368i | 0.0307248 | + | 0.241807i | ||||
\(941\) | 0.887938 | + | 49.1739i | 0.0289460 | + | 1.60302i | 0.612179 | + | 0.790719i | \(0.290293\pi\) |
−0.583233 | + | 0.812305i | \(0.698212\pi\) | |||||||
\(942\) | −10.0115 | + | 6.05205i | −0.326192 | + | 0.197186i | ||||
\(943\) | 9.92184 | + | 17.1851i | 0.323100 | + | 0.559625i | ||||
\(944\) | −15.8753 | − | 1.59478i | −0.516697 | − | 0.0519058i | ||||
\(945\) | 21.6261 | − | 16.6532i | 0.703497 | − | 0.541728i | ||||
\(946\) | 3.94489 | − | 1.32919i | 0.128259 | − | 0.0432157i | ||||
\(947\) | 11.9957 | + | 6.63988i | 0.389807 | + | 0.215767i | 0.667017 | − | 0.745042i | \(-0.267571\pi\) |
−0.277210 | + | 0.960809i | \(0.589410\pi\) | |||||||
\(948\) | 28.9476 | − | 34.2234i | 0.940174 | − | 1.11153i | ||||
\(949\) | −25.9274 | − | 3.77124i | −0.841638 | − | 0.122420i | ||||
\(950\) | 4.27011 | + | 11.9554i | 0.138541 | + | 0.387885i | ||||
\(951\) | 9.62287 | + | 30.1432i | 0.312043 | + | 0.977459i | ||||
\(952\) | −38.3445 | − | 2.77409i | −1.24275 | − | 0.0899087i | ||||
\(953\) | 17.3116 | − | 32.6531i | 0.560777 | − | 1.05774i | −0.427349 | − | 0.904087i | \(-0.640552\pi\) |
0.988125 | − | 0.153650i | \(-0.0491029\pi\) | |||||||
\(954\) | −0.385646 | − | 4.07196i | −0.0124857 | − | 0.131834i | ||||
\(955\) | −3.76533 | − | 13.5615i | −0.121843 | − | 0.438839i | ||||
\(956\) | −17.8056 | + | 2.58990i | −0.575874 | + | 0.0837632i | ||||
\(957\) | 40.4648 | − | 7.47321i | 1.30804 | − | 0.241575i | ||||
\(958\) | −10.1998 | + | 13.9327i | −0.329540 | + | 0.450145i | ||||
\(959\) | 25.0955 | − | 10.5278i | 0.810375 | − | 0.339962i | ||||
\(960\) | 1.50596 | + | 0.977404i | 0.0486046 | + | 0.0315456i | ||||
\(961\) | −5.25373 | − | 3.70231i | −0.169475 | − | 0.119429i | ||||
\(962\) | 2.56331 | − | 15.6355i | 0.0826443 | − | 0.504108i | ||||
\(963\) | −48.8595 | + | 10.9676i | −1.57447 | + | 0.353426i | ||||
\(964\) | −21.2516 | − | 12.7866i | −0.684467 | − | 0.411830i | ||||
\(965\) | −12.8922 | − | 17.6105i | −0.415015 | − | 0.566902i | ||||
\(966\) | −5.81850 | + | 24.5577i | −0.187207 | + | 0.790132i | ||||
\(967\) | −54.2802 | − | 20.4996i | −1.74553 | − | 0.659222i | −0.745560 | − | 0.666439i | \(-0.767818\pi\) |
−0.999974 | + | 0.00721663i | \(0.997703\pi\) | |||||||
\(968\) | −0.958315 | − | 0.624800i | −0.0308014 | − | 0.0200818i | ||||
\(969\) | 20.3248 | − | 30.1112i | 0.652926 | − | 0.967310i | ||||
\(970\) | 0.116380 | − | 0.486691i | 0.00373672 | − | 0.0156267i | ||||
\(971\) | 2.34672 | + | 43.2827i | 0.0753098 | + | 1.38901i | 0.755105 | + | 0.655604i | \(0.227586\pi\) |
−0.679795 | + | 0.733402i | \(0.737931\pi\) | |||||||
\(972\) | 18.3256 | + | 18.2763i | 0.587795 | + | 0.586212i | ||||
\(973\) | 28.5296 | + | 9.61273i | 0.914616 | + | 0.308170i | ||||
\(974\) | 3.18802 | + | 15.8404i | 0.102151 | + | 0.507558i | ||||
\(975\) | −26.5507 | + | 12.3506i | −0.850303 | + | 0.395536i | ||||
\(976\) | 6.54502 | + | 3.31998i | 0.209501 | + | 0.106270i | ||||
\(977\) | −40.6355 | + | 12.0767i | −1.30005 | + | 0.386368i | −0.859396 | − | 0.511311i | \(-0.829160\pi\) |
−0.440650 | + | 0.897679i | \(0.645252\pi\) | |||||||
\(978\) | −3.04009 | − | 0.213598i | −0.0972113 | − | 0.00683012i | ||||
\(979\) | 24.5688 | − | 12.4626i | 0.785223 | − | 0.398307i | ||||
\(980\) | 4.85226 | + | 29.5975i | 0.155000 | + | 0.945457i | ||||
\(981\) | 38.7697 | + | 23.1083i | 1.23782 | + | 0.737792i | ||||
\(982\) | −1.88963 | + | 0.205509i | −0.0603004 | + | 0.00655807i | ||||
\(983\) | 0.491522 | − | 27.2205i | 0.0156771 | − | 0.868198i | −0.892846 | − | 0.450363i | \(-0.851295\pi\) |
0.908523 | − | 0.417835i | \(-0.137211\pi\) | |||||||
\(984\) | 7.12325 | − | 12.3972i | 0.227081 | − | 0.395208i | ||||
\(985\) | 5.97276 | + | 4.89045i | 0.190308 | + | 0.155823i | ||||
\(986\) | 1.35864 | − | 15.0090i | 0.0432679 | − | 0.477983i | ||||
\(987\) | −29.5856 | − | 19.2018i | −0.941721 | − | 0.611200i | ||||
\(988\) | −5.22945 | + | 41.1563i | −0.166371 | + | 1.30936i | ||||
\(989\) | 10.7208 | + | 1.16595i | 0.340901 | + | 0.0370752i | ||||
\(990\) | 0.780286 | − | 6.35164i | 0.0247991 | − | 0.201868i | ||||
\(991\) | −0.214147 | + | 0.537468i | −0.00680260 | + | 0.0170732i | −0.932339 | − | 0.361586i | \(-0.882235\pi\) |
0.925536 | + | 0.378659i | \(0.123615\pi\) | |||||||
\(992\) | −23.4799 | + | 23.9077i | −0.745488 | + | 0.759071i | ||||
\(993\) | 2.49365 | − | 19.9564i | 0.0791335 | − | 0.633296i | ||||
\(994\) | −19.1294 | − | 30.5315i | −0.606746 | − | 0.968401i | ||||
\(995\) | −4.57407 | − | 9.43582i | −0.145008 | − | 0.299136i | ||||
\(996\) | 39.2913 | + | 8.56323i | 1.24499 | + | 0.271336i | ||||
\(997\) | −37.3738 | − | 6.82219i | −1.18364 | − | 0.216061i | −0.448379 | − | 0.893844i | \(-0.647998\pi\) |
−0.735262 | + | 0.677783i | \(0.762941\pi\) | |||||||
\(998\) | −3.95754 | − | 9.93268i | −0.125274 | − | 0.314413i | ||||
\(999\) | −8.38824 | + | 30.9581i | −0.265392 | + | 0.979471i |
(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 | 531.2.m.a.130.34 | ✓ | 3248 | |
9.7 | even | 3 | inner | 531.2.m.a.484.34 | yes | 3248 | |
59.5 | even | 29 | inner | 531.2.m.a.418.34 | yes | 3248 | |
531.241 | even | 87 | inner | 531.2.m.a.241.34 | yes | 3248 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
531.2.m.a.130.34 | ✓ | 3248 | 1.1 | even | 1 | trivial | |
531.2.m.a.241.34 | yes | 3248 | 531.241 | even | 87 | inner | |
531.2.m.a.418.34 | yes | 3248 | 59.5 | even | 29 | inner | |
531.2.m.a.484.34 | yes | 3248 | 9.7 | even | 3 | inner |