Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(16,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(110))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.s (of order \(55\), degree \(40\), 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(880\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{55})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{55}]$ |
Embedding invariants
Embedding label | 416.16 | ||
Character | \(\chi\) | \(=\) | 605.416 |
Dual form | 605.2.s.b.16.16 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{53}{55}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.46553 | − | 0.168154i | 1.03629 | − | 0.118903i | 0.420883 | − | 0.907115i | \(-0.361720\pi\) |
0.615403 | + | 0.788212i | \(0.288993\pi\) | |||||||
\(3\) | −2.14433 | + | 1.55794i | −1.23803 | + | 0.899480i | −0.997465 | − | 0.0711538i | \(-0.977332\pi\) |
−0.240562 | + | 0.970634i | \(0.577332\pi\) | |||||||
\(4\) | 0.171477 | − | 0.0398753i | 0.0857386 | − | 0.0199376i | ||||
\(5\) | −0.564443 | − | 0.825472i | −0.252427 | − | 0.369162i | ||||
\(6\) | −2.88060 | + | 2.64379i | −1.17600 | + | 1.07932i | ||||
\(7\) | 0.537054 | − | 0.552615i | 0.202987 | − | 0.208869i | −0.607993 | − | 0.793942i | \(-0.708025\pi\) |
0.810980 | + | 0.585073i | \(0.198934\pi\) | |||||||
\(8\) | −2.53411 | + | 0.904170i | −0.895945 | + | 0.319672i | ||||
\(9\) | 1.24390 | − | 3.82832i | 0.414632 | − | 1.27611i | ||||
\(10\) | −0.966014 | − | 1.11484i | −0.305481 | − | 0.352543i | ||||
\(11\) | 1.91913 | − | 2.70498i | 0.578640 | − | 0.815583i | ||||
\(12\) | −0.305580 | + | 0.352658i | −0.0882132 | + | 0.101803i | ||||
\(13\) | −2.98709 | − | 4.95354i | −0.828471 | − | 1.37386i | −0.925565 | − | 0.378589i | \(-0.876409\pi\) |
0.0970939 | − | 0.995275i | \(-0.469045\pi\) | |||||||
\(14\) | 0.694144 | − | 0.900182i | 0.185518 | − | 0.240584i | ||||
\(15\) | 2.49639 | + | 0.890710i | 0.644565 | + | 0.229980i | ||||
\(16\) | −3.87776 | + | 1.90657i | −0.969439 | + | 0.476641i | ||||
\(17\) | 2.21013 | + | 1.80721i | 0.536034 | + | 0.438313i | 0.861882 | − | 0.507109i | \(-0.169286\pi\) |
−0.325848 | + | 0.945422i | \(0.605650\pi\) | |||||||
\(18\) | 1.17922 | − | 5.81968i | 0.277945 | − | 1.37171i | ||||
\(19\) | 4.31778 | − | 0.246900i | 0.990567 | − | 0.0566427i | 0.445715 | − | 0.895175i | \(-0.352950\pi\) |
0.544852 | + | 0.838532i | \(0.316586\pi\) | |||||||
\(20\) | −0.129705 | − | 0.119042i | −0.0290029 | − | 0.0266186i | ||||
\(21\) | −0.290675 | + | 2.02169i | −0.0634305 | + | 0.441169i | ||||
\(22\) | 2.35769 | − | 4.28694i | 0.502661 | − | 0.913979i | ||||
\(23\) | −0.597021 | − | 4.15237i | −0.124487 | − | 0.865829i | −0.952374 | − | 0.304933i | \(-0.901366\pi\) |
0.827886 | − | 0.560896i | \(-0.189543\pi\) | |||||||
\(24\) | 4.02532 | − | 5.88685i | 0.821666 | − | 1.20165i | ||||
\(25\) | −0.362808 | + | 0.931864i | −0.0725615 | + | 0.186373i | ||||
\(26\) | −5.21063 | − | 6.75727i | −1.02189 | − | 1.32521i | ||||
\(27\) | 0.839808 | + | 2.58466i | 0.161621 | + | 0.497419i | ||||
\(28\) | 0.0700567 | − | 0.116176i | 0.0132395 | − | 0.0219552i | ||||
\(29\) | −0.773829 | − | 1.98756i | −0.143696 | − | 0.369081i | 0.841560 | − | 0.540163i | \(-0.181637\pi\) |
−0.985257 | + | 0.171082i | \(0.945274\pi\) | |||||||
\(30\) | 3.80831 | + | 0.885585i | 0.695299 | + | 0.161685i | ||||
\(31\) | 5.19895 | − | 2.19709i | 0.933759 | − | 0.394610i | 0.131317 | − | 0.991340i | \(-0.458079\pi\) |
0.802442 | + | 0.596731i | \(0.203534\pi\) | |||||||
\(32\) | −0.835440 | + | 0.536905i | −0.147686 | + | 0.0949123i | ||||
\(33\) | 0.0989673 | + | 8.79027i | 0.0172280 | + | 1.53019i | ||||
\(34\) | 3.54289 | + | 2.27688i | 0.607601 | + | 0.390482i | ||||
\(35\) | −0.759305 | − | 0.131403i | −0.128346 | − | 0.0222111i | ||||
\(36\) | 0.0606444 | − | 0.706070i | 0.0101074 | − | 0.117678i | ||||
\(37\) | −0.684525 | − | 7.96977i | −0.112535 | − | 1.31022i | −0.806938 | − | 0.590636i | \(-0.798877\pi\) |
0.694403 | − | 0.719587i | \(-0.255669\pi\) | |||||||
\(38\) | 6.28632 | − | 1.08789i | 1.01978 | − | 0.176479i | ||||
\(39\) | 14.1226 | + | 5.96828i | 2.26143 | + | 0.955690i | ||||
\(40\) | 2.17673 | + | 1.58149i | 0.344171 | + | 0.250055i | ||||
\(41\) | −5.15630 | − | 2.91189i | −0.805278 | − | 0.454761i | 0.0333647 | − | 0.999443i | \(-0.489378\pi\) |
−0.838643 | + | 0.544682i | \(0.816650\pi\) | |||||||
\(42\) | −0.0860380 | + | 3.01172i | −0.0132759 | + | 0.464719i | ||||
\(43\) | −11.8141 | − | 3.46892i | −1.80163 | − | 0.529005i | −0.803800 | − | 0.594899i | \(-0.797192\pi\) |
−0.997827 | + | 0.0658941i | \(0.979010\pi\) | |||||||
\(44\) | 0.221225 | − | 0.540369i | 0.0333510 | − | 0.0814636i | ||||
\(45\) | −3.86228 | + | 1.13407i | −0.575754 | + | 0.169057i | ||||
\(46\) | −1.57319 | − | 5.98503i | −0.231954 | − | 0.882445i | ||||
\(47\) | −0.123716 | − | 0.610562i | −0.0180458 | − | 0.0890596i | 0.970048 | − | 0.242915i | \(-0.0781037\pi\) |
−0.988093 | + | 0.153856i | \(0.950831\pi\) | |||||||
\(48\) | 5.34486 | − | 10.1296i | 0.771464 | − | 1.46209i | ||||
\(49\) | 0.182935 | + | 6.40358i | 0.0261336 | + | 0.914797i | ||||
\(50\) | −0.375009 | + | 1.42668i | −0.0530343 | + | 0.201763i | ||||
\(51\) | −7.55477 | − | 0.431997i | −1.05788 | − | 0.0604917i | ||||
\(52\) | −0.709742 | − | 0.730307i | −0.0984235 | − | 0.101275i | ||||
\(53\) | −2.28745 | − | 1.12466i | −0.314205 | − | 0.154484i | 0.277305 | − | 0.960782i | \(-0.410559\pi\) |
−0.591510 | + | 0.806298i | \(0.701468\pi\) | |||||||
\(54\) | 1.66538 | + | 3.64668i | 0.226630 | + | 0.496251i | ||||
\(55\) | −3.31613 | − | 0.0573803i | −0.447147 | − | 0.00773716i | ||||
\(56\) | −0.861297 | + | 1.88598i | −0.115096 | + | 0.252024i | ||||
\(57\) | −8.87408 | + | 7.25630i | −1.17540 | + | 0.961120i | ||||
\(58\) | −1.46829 | − | 2.78271i | −0.192795 | − | 0.365388i | ||||
\(59\) | −7.92394 | + | 4.47485i | −1.03161 | + | 0.582576i | −0.911977 | − | 0.410242i | \(-0.865444\pi\) |
−0.119632 | + | 0.992818i | \(0.538172\pi\) | |||||||
\(60\) | 0.463591 | + | 0.0531921i | 0.0598494 | + | 0.00686708i | ||||
\(61\) | −1.45769 | − | 0.167254i | −0.186638 | − | 0.0214147i | 0.0201687 | − | 0.999797i | \(-0.493580\pi\) |
−0.206806 | + | 0.978382i | \(0.566307\pi\) | |||||||
\(62\) | 7.24976 | − | 4.09413i | 0.920721 | − | 0.519955i | ||||
\(63\) | −1.44755 | − | 2.74341i | −0.182374 | − | 0.345637i | ||||
\(64\) | 5.55622 | − | 4.54330i | 0.694528 | − | 0.567913i | ||||
\(65\) | −2.40296 | + | 5.26175i | −0.298051 | + | 0.652640i | ||||
\(66\) | 1.62316 | + | 12.8658i | 0.199797 | + | 1.58367i | ||||
\(67\) | 0.590660 | + | 1.29336i | 0.0721605 | + | 0.158010i | 0.942275 | − | 0.334840i | \(-0.108682\pi\) |
−0.870114 | + | 0.492850i | \(0.835955\pi\) | |||||||
\(68\) | 0.451049 | + | 0.221766i | 0.0546977 | + | 0.0268931i | ||||
\(69\) | 7.74937 | + | 7.97392i | 0.932915 | + | 0.959947i | ||||
\(70\) | −1.13488 | − | 0.0648948i | −0.135644 | − | 0.00775641i | ||||
\(71\) | −0.878414 | + | 3.34183i | −0.104249 | + | 0.396602i | −0.998723 | − | 0.0505160i | \(-0.983913\pi\) |
0.894475 | + | 0.447118i | \(0.147550\pi\) | |||||||
\(72\) | 0.309276 | + | 10.8261i | 0.0364486 | + | 1.27587i | ||||
\(73\) | −6.59814 | + | 12.5049i | −0.772254 | + | 1.46358i | 0.110563 | + | 0.993869i | \(0.464735\pi\) |
−0.882818 | + | 0.469716i | \(0.844356\pi\) | |||||||
\(74\) | −2.34334 | − | 11.5648i | −0.272408 | − | 1.34438i | ||||
\(75\) | −0.673814 | − | 2.56346i | −0.0778054 | − | 0.296002i | ||||
\(76\) | 0.730555 | − | 0.214510i | 0.0838004 | − | 0.0246060i | ||||
\(77\) | −0.464138 | − | 2.51326i | −0.0528934 | − | 0.286413i | ||||
\(78\) | 21.7007 | + | 6.37191i | 2.45713 | + | 0.721477i | ||||
\(79\) | 0.325680 | − | 11.4003i | 0.0366419 | − | 1.28263i | −0.748424 | − | 0.663220i | \(-0.769189\pi\) |
0.785066 | − | 0.619412i | \(-0.212629\pi\) | |||||||
\(80\) | 3.76259 | + | 2.12483i | 0.420670 | + | 0.237563i | ||||
\(81\) | 3.94210 | + | 2.86410i | 0.438011 | + | 0.318234i | ||||
\(82\) | −8.04635 | − | 3.40042i | −0.888571 | − | 0.375513i | ||||
\(83\) | 11.6130 | − | 2.00971i | 1.27470 | − | 0.220595i | 0.507300 | − | 0.861769i | \(-0.330644\pi\) |
0.767395 | + | 0.641175i | \(0.221553\pi\) | |||||||
\(84\) | 0.0307713 | + | 0.358264i | 0.00335743 | + | 0.0390898i | ||||
\(85\) | 0.244311 | − | 2.84446i | 0.0264993 | − | 0.308525i | ||||
\(86\) | −17.8972 | − | 3.09723i | −1.92990 | − | 0.333982i | ||||
\(87\) | 4.75586 | + | 3.05640i | 0.509881 | + | 0.327681i | ||||
\(88\) | −2.41753 | + | 8.58996i | −0.257710 | + | 0.915693i | ||||
\(89\) | 8.37033 | − | 5.37928i | 0.887253 | − | 0.570203i | −0.0157313 | − | 0.999876i | \(-0.505008\pi\) |
0.902984 | + | 0.429673i | \(0.141371\pi\) | |||||||
\(90\) | −5.46958 | + | 2.31147i | −0.576545 | + | 0.243650i | ||||
\(91\) | −4.34163 | − | 1.00960i | −0.455127 | − | 0.105835i | ||||
\(92\) | −0.267952 | − | 0.688230i | −0.0279360 | − | 0.0717530i | ||||
\(93\) | −7.72530 | + | 12.8110i | −0.801076 | + | 1.32844i | ||||
\(94\) | −0.283978 | − | 0.873993i | −0.0292900 | − | 0.0901455i | ||||
\(95\) | −2.64095 | − | 3.42485i | −0.270956 | − | 0.351382i | ||||
\(96\) | 0.954989 | − | 2.45287i | 0.0974682 | − | 0.250345i | ||||
\(97\) | −2.78630 | + | 4.07484i | −0.282906 | + | 0.413737i | −0.940583 | − | 0.339563i | \(-0.889721\pi\) |
0.657677 | + | 0.753300i | \(0.271539\pi\) | |||||||
\(98\) | 1.34488 | + | 9.35387i | 0.135854 | + | 0.944884i | ||||
\(99\) | −7.96833 | − | 10.7118i | −0.800848 | − | 1.07657i | ||||
\(100\) | −0.0250549 | + | 0.174260i | −0.00250549 | + | 0.0174260i | ||||
\(101\) | 8.92231 | + | 8.18883i | 0.887803 | + | 0.814819i | 0.983559 | − | 0.180586i | \(-0.0577995\pi\) |
−0.0957557 | + | 0.995405i | \(0.530527\pi\) | |||||||
\(102\) | −11.1444 | + | 0.637258i | −1.10346 | + | 0.0630980i | ||||
\(103\) | 2.51597 | − | 12.4168i | 0.247905 | − | 1.22346i | −0.641780 | − | 0.766889i | \(-0.721804\pi\) |
0.889686 | − | 0.456573i | \(-0.150923\pi\) | |||||||
\(104\) | 12.0485 | + | 9.85199i | 1.18145 | + | 0.966067i | ||||
\(105\) | 1.83292 | − | 0.901184i | 0.178874 | − | 0.0879466i | ||||
\(106\) | −3.54144 | − | 1.26358i | −0.343975 | − | 0.122730i | ||||
\(107\) | 10.5110 | − | 13.6309i | 1.01613 | − | 1.31775i | 0.0687535 | − | 0.997634i | \(-0.478098\pi\) |
0.947380 | − | 0.320112i | \(-0.103720\pi\) | |||||||
\(108\) | 0.247072 | + | 0.409723i | 0.0237745 | + | 0.0394256i | ||||
\(109\) | −6.32035 | + | 7.29407i | −0.605380 | + | 0.698645i | −0.972862 | − | 0.231385i | \(-0.925674\pi\) |
0.367483 | + | 0.930030i | \(0.380220\pi\) | |||||||
\(110\) | −4.86953 | + | 0.473527i | −0.464292 | + | 0.0451490i | ||||
\(111\) | 13.8843 | + | 16.0234i | 1.31784 | + | 1.52087i | ||||
\(112\) | −1.02897 | + | 3.16684i | −0.0972283 | + | 0.299238i | ||||
\(113\) | −8.86288 | + | 3.16227i | −0.833749 | + | 0.297481i | −0.718214 | − | 0.695822i | \(-0.755040\pi\) |
−0.115535 | + | 0.993303i | \(0.536858\pi\) | |||||||
\(114\) | −11.7850 | + | 12.1265i | −1.10377 | + | 1.13575i | ||||
\(115\) | −3.09068 | + | 2.83660i | −0.288208 | + | 0.264514i | ||||
\(116\) | −0.211949 | − | 0.309965i | −0.0196789 | − | 0.0287795i | ||||
\(117\) | −22.6794 | + | 5.27386i | −2.09671 | + | 0.487568i | ||||
\(118\) | −10.8603 | + | 7.89047i | −0.999772 | + | 0.726377i | ||||
\(119\) | 2.18565 | − | 0.250780i | 0.200358 | − | 0.0229889i | ||||
\(120\) | −7.13149 | −0.651013 | ||||||||
\(121\) | −3.63386 | − | 10.3824i | −0.330351 | − | 0.943858i | ||||
\(122\) | −2.16441 | −0.195956 | ||||||||
\(123\) | 15.5934 | − | 1.78917i | 1.40601 | − | 0.161324i | ||||
\(124\) | 0.803891 | − | 0.584061i | 0.0721916 | − | 0.0524502i | ||||
\(125\) | 0.974012 | − | 0.226497i | 0.0871183 | − | 0.0202585i | ||||
\(126\) | −2.58274 | − | 3.77713i | −0.230089 | − | 0.336494i | ||||
\(127\) | −7.69307 | + | 7.06064i | −0.682650 | + | 0.626530i | −0.940556 | − | 0.339640i | \(-0.889695\pi\) |
0.257906 | + | 0.966170i | \(0.416968\pi\) | |||||||
\(128\) | 8.76308 | − | 9.01699i | 0.774554 | − | 0.796997i | ||||
\(129\) | 30.7376 | − | 10.9671i | 2.70629 | − | 0.965604i | ||||
\(130\) | −2.63683 | + | 8.11532i | −0.231265 | + | 0.711761i | ||||
\(131\) | −1.25174 | − | 1.44458i | −0.109365 | − | 0.126214i | 0.698428 | − | 0.715680i | \(-0.253883\pi\) |
−0.807793 | + | 0.589467i | \(0.799338\pi\) | |||||||
\(132\) | 0.367485 | + | 1.50338i | 0.0319855 | + | 0.130853i | ||||
\(133\) | 2.18244 | − | 2.51867i | 0.189242 | − | 0.218396i | ||||
\(134\) | 1.08311 | + | 1.79614i | 0.0935667 | + | 0.155163i | ||||
\(135\) | 1.65954 | − | 2.15213i | 0.142831 | − | 0.185226i | ||||
\(136\) | −7.23474 | − | 2.58135i | −0.620373 | − | 0.221349i | ||||
\(137\) | −19.3368 | + | 9.50726i | −1.65205 | + | 0.812260i | −0.653589 | + | 0.756850i | \(0.726738\pi\) |
−0.998464 | + | 0.0554102i | \(0.982353\pi\) | |||||||
\(138\) | 12.6978 | + | 10.3829i | 1.08091 | + | 0.883853i | ||||
\(139\) | 0.382305 | − | 1.88675i | 0.0324267 | − | 0.160032i | −0.960597 | − | 0.277943i | \(-0.910347\pi\) |
0.993024 | + | 0.117912i | \(0.0376199\pi\) | |||||||
\(140\) | −0.135443 | + | 0.00774492i | −0.0114470 | + | 0.000654565i | ||||
\(141\) | 1.21651 | + | 1.11650i | 0.102449 | + | 0.0940264i | ||||
\(142\) | −0.725399 | + | 5.04526i | −0.0608741 | + | 0.423389i | ||||
\(143\) | −19.1319 | − | 1.42646i | −1.59989 | − | 0.119286i | ||||
\(144\) | 2.47541 | + | 17.2169i | 0.206284 | + | 1.43474i | ||||
\(145\) | −1.20390 | + | 1.76064i | −0.0999781 | + | 0.146213i | ||||
\(146\) | −7.56703 | + | 19.4358i | −0.626252 | + | 1.60852i | ||||
\(147\) | −10.3687 | − | 13.4464i | −0.855195 | − | 1.10904i | ||||
\(148\) | −0.435177 | − | 1.33934i | −0.0357714 | − | 0.110093i | ||||
\(149\) | 6.84428 | − | 11.3500i | 0.560705 | − | 0.929825i | −0.438807 | − | 0.898581i | \(-0.644599\pi\) |
0.999512 | − | 0.0312435i | \(-0.00994673\pi\) | |||||||
\(150\) | −1.41855 | − | 3.64352i | −0.115824 | − | 0.297492i | ||||
\(151\) | 8.09652 | + | 1.88277i | 0.658885 | + | 0.153217i | 0.542590 | − | 0.839997i | \(-0.317444\pi\) |
0.116295 | + | 0.993215i | \(0.462898\pi\) | |||||||
\(152\) | −10.7185 | + | 4.52968i | −0.869386 | + | 0.367406i | ||||
\(153\) | 9.66774 | − | 6.21308i | 0.781590 | − | 0.502298i | ||||
\(154\) | −1.10282 | − | 3.60521i | −0.0888680 | − | 0.290516i | ||||
\(155\) | −4.74815 | − | 3.05145i | −0.381381 | − | 0.245099i | ||||
\(156\) | 2.65970 | + | 0.460279i | 0.212946 | + | 0.0368518i | ||||
\(157\) | 0.273058 | − | 3.17916i | 0.0217924 | − | 0.253724i | −0.977326 | − | 0.211741i | \(-0.932087\pi\) |
0.999118 | − | 0.0419838i | \(-0.0133678\pi\) | |||||||
\(158\) | −1.43971 | − | 16.7622i | −0.114537 | − | 1.33353i | ||||
\(159\) | 6.65719 | − | 1.15207i | 0.527950 | − | 0.0913653i | ||||
\(160\) | 0.914758 | + | 0.386580i | 0.0723180 | + | 0.0305618i | ||||
\(161\) | −2.61530 | − | 1.90012i | −0.206114 | − | 0.149751i | ||||
\(162\) | 6.25887 | + | 3.53455i | 0.491744 | + | 0.277700i | ||||
\(163\) | 0.187902 | − | 6.57742i | 0.0147176 | − | 0.515183i | −0.958473 | − | 0.285183i | \(-0.907946\pi\) |
0.973191 | − | 0.230000i | \(-0.0738727\pi\) | |||||||
\(164\) | −1.00030 | − | 0.293714i | −0.0781103 | − | 0.0229352i | ||||
\(165\) | 7.20026 | − | 5.04330i | 0.560539 | − | 0.392621i | ||||
\(166\) | 16.6813 | − | 4.89807i | 1.29472 | − | 0.380164i | ||||
\(167\) | −0.724850 | − | 2.75762i | −0.0560906 | − | 0.213391i | 0.933198 | − | 0.359362i | \(-0.117006\pi\) |
−0.989289 | + | 0.145971i | \(0.953369\pi\) | |||||||
\(168\) | −1.09135 | − | 5.38601i | −0.0841992 | − | 0.415540i | ||||
\(169\) | −9.54815 | + | 18.0957i | −0.734473 | + | 1.39198i | ||||
\(170\) | −0.120262 | − | 4.20973i | −0.00922369 | − | 0.322871i | ||||
\(171\) | 4.42566 | − | 16.8370i | 0.338439 | − | 1.28755i | ||||
\(172\) | −2.16416 | − | 0.123751i | −0.165016 | − | 0.00943596i | ||||
\(173\) | 16.7966 | + | 17.2833i | 1.27702 | + | 1.31402i | 0.925938 | + | 0.377676i | \(0.123277\pi\) |
0.351081 | + | 0.936345i | \(0.385814\pi\) | |||||||
\(174\) | 7.48380 | + | 3.67953i | 0.567345 | + | 0.278945i | ||||
\(175\) | 0.320115 | + | 0.700954i | 0.0241984 | + | 0.0529872i | ||||
\(176\) | −2.28470 | + | 14.1482i | −0.172216 | + | 1.06646i | ||||
\(177\) | 10.0199 | − | 21.9406i | 0.753145 | − | 1.64916i | ||||
\(178\) | 11.3624 | − | 9.29100i | 0.851649 | − | 0.696390i | ||||
\(179\) | −10.1266 | − | 19.1920i | −0.756895 | − | 1.43447i | −0.895934 | − | 0.444188i | \(-0.853492\pi\) |
0.139039 | − | 0.990287i | \(-0.455599\pi\) | |||||||
\(180\) | −0.617071 | + | 0.348476i | −0.0459937 | + | 0.0259739i | ||||
\(181\) | 13.3722 | + | 1.53432i | 0.993949 | + | 0.114045i | 0.595679 | − | 0.803223i | \(-0.296883\pi\) |
0.398271 | + | 0.917268i | \(0.369610\pi\) | |||||||
\(182\) | −6.53256 | − | 0.749541i | −0.484225 | − | 0.0555597i | ||||
\(183\) | 3.38633 | − | 1.91235i | 0.250324 | − | 0.141365i | ||||
\(184\) | 5.26737 | + | 9.98277i | 0.388316 | + | 0.735940i | ||||
\(185\) | −6.19245 | + | 5.06354i | −0.455278 | + | 0.372279i | ||||
\(186\) | −9.16744 | + | 20.0739i | −0.672189 | + | 1.47189i | ||||
\(187\) | 9.13000 | − | 2.51008i | 0.667651 | − | 0.183555i | ||||
\(188\) | −0.0455608 | − | 0.0997642i | −0.00332286 | − | 0.00727605i | ||||
\(189\) | 1.87935 | + | 0.924012i | 0.136702 | + | 0.0672120i | ||||
\(190\) | −4.44629 | − | 4.57513i | −0.322568 | − | 0.331915i | ||||
\(191\) | 13.2008 | + | 0.754848i | 0.955175 | + | 0.0546189i | 0.527720 | − | 0.849418i | \(-0.323047\pi\) |
0.427454 | + | 0.904037i | \(0.359411\pi\) | |||||||
\(192\) | −4.83615 | + | 18.3986i | −0.349019 | + | 1.32781i | ||||
\(193\) | −0.0719756 | − | 2.51947i | −0.00518091 | − | 0.181356i | −0.998061 | − | 0.0622395i | \(-0.980176\pi\) |
0.992880 | − | 0.119116i | \(-0.0380061\pi\) | |||||||
\(194\) | −3.39821 | + | 6.44032i | −0.243977 | + | 0.462388i | ||||
\(195\) | −3.04478 | − | 15.0266i | −0.218042 | − | 1.07608i | ||||
\(196\) | 0.286714 | + | 1.09077i | 0.0204796 | + | 0.0779123i | ||||
\(197\) | 7.57163 | − | 2.22323i | 0.539456 | − | 0.158399i | −0.000643164 | − | 1.00000i | \(-0.500205\pi\) |
0.540100 | + | 0.841601i | \(0.318387\pi\) | |||||||
\(198\) | −13.4791 | − | 14.3585i | −0.957914 | − | 1.02041i | ||||
\(199\) | −14.2717 | − | 4.19054i | −1.01169 | − | 0.297060i | −0.266447 | − | 0.963850i | \(-0.585850\pi\) |
−0.745246 | + | 0.666790i | \(0.767668\pi\) | |||||||
\(200\) | 0.0768325 | − | 2.68949i | 0.00543288 | − | 0.190176i | ||||
\(201\) | −3.28156 | − | 1.85318i | −0.231463 | − | 0.130713i | ||||
\(202\) | 14.4529 | + | 10.5006i | 1.01690 | + | 0.738823i | ||||
\(203\) | −1.51395 | − | 0.639799i | −0.106258 | − | 0.0449051i | ||||
\(204\) | −1.31270 | + | 0.227171i | −0.0919071 | + | 0.0159051i | ||||
\(205\) | 0.506749 | + | 5.89998i | 0.0353929 | + | 0.412072i | ||||
\(206\) | 1.59929 | − | 18.6202i | 0.111428 | − | 1.29733i | ||||
\(207\) | −16.6392 | − | 2.87953i | −1.15651 | − | 0.200141i | ||||
\(208\) | 21.0275 | + | 13.5135i | 1.45799 | + | 0.936995i | ||||
\(209\) | 7.61853 | − | 12.1534i | 0.526985 | − | 0.840665i | ||||
\(210\) | 2.53466 | − | 1.62892i | 0.174908 | − | 0.112406i | ||||
\(211\) | 21.6385 | − | 9.14453i | 1.48966 | − | 0.629535i | 0.515804 | − | 0.856706i | \(-0.327493\pi\) |
0.973855 | + | 0.227171i | \(0.0729477\pi\) | |||||||
\(212\) | −0.437091 | − | 0.101641i | −0.0300195 | − | 0.00698074i | ||||
\(213\) | −3.32278 | − | 8.53450i | −0.227673 | − | 0.584774i | ||||
\(214\) | 13.1120 | − | 21.7439i | 0.896321 | − | 1.48638i | ||||
\(215\) | 3.80487 | + | 11.7102i | 0.259490 | + | 0.798628i | ||||
\(216\) | −4.46514 | − | 5.79050i | −0.303815 | − | 0.393994i | ||||
\(217\) | 1.57797 | − | 4.05298i | 0.107119 | − | 0.275134i | ||||
\(218\) | −8.03613 | + | 11.7525i | −0.544275 | + | 0.795977i | ||||
\(219\) | −5.33332 | − | 37.0941i | −0.360393 | − | 2.50659i | ||||
\(220\) | −0.570928 | + | 0.122392i | −0.0384920 | + | 0.00825168i | ||||
\(221\) | 2.35024 | − | 16.3462i | 0.158094 | − | 1.09957i | ||||
\(222\) | 23.0423 | + | 21.1480i | 1.54650 | + | 1.41936i | ||||
\(223\) | −0.352194 | + | 0.0201392i | −0.0235846 | + | 0.00134862i | −0.0688771 | − | 0.997625i | \(-0.521942\pi\) |
0.0452925 | + | 0.998974i | \(0.485578\pi\) | |||||||
\(224\) | −0.151975 | + | 0.750024i | −0.0101542 | + | 0.0501131i | ||||
\(225\) | 3.11618 | + | 2.54808i | 0.207745 | + | 0.169872i | ||||
\(226\) | −12.4571 | + | 6.12473i | −0.828631 | + | 0.407411i | ||||
\(227\) | 17.1344 | + | 6.11353i | 1.13725 | + | 0.405770i | 0.836518 | − | 0.547940i | \(-0.184588\pi\) |
0.300731 | + | 0.953709i | \(0.402769\pi\) | |||||||
\(228\) | −1.23235 | + | 1.59815i | −0.0816147 | + | 0.105840i | ||||
\(229\) | 7.50742 | + | 12.4497i | 0.496104 | + | 0.822696i | 0.999136 | − | 0.0415717i | \(-0.0132365\pi\) |
−0.503031 | + | 0.864268i | \(0.667782\pi\) | |||||||
\(230\) | −4.05250 | + | 4.67683i | −0.267214 | + | 0.308381i | ||||
\(231\) | 4.91079 | + | 4.66616i | 0.323106 | + | 0.307011i | ||||
\(232\) | 3.75807 | + | 4.33704i | 0.246729 | + | 0.284741i | ||||
\(233\) | 0.734045 | − | 2.25916i | 0.0480889 | − | 0.148002i | −0.924129 | − | 0.382081i | \(-0.875207\pi\) |
0.972218 | + | 0.234079i | \(0.0752074\pi\) | |||||||
\(234\) | −32.3504 | + | 11.5426i | −2.11481 | + | 0.754564i | ||||
\(235\) | −0.434171 | + | 0.446751i | −0.0283222 | + | 0.0291429i | ||||
\(236\) | −1.18034 | + | 1.08330i | −0.0768335 | + | 0.0705171i | ||||
\(237\) | 17.0627 | + | 24.9533i | 1.10834 | + | 1.62089i | ||||
\(238\) | 3.16096 | − | 0.735050i | 0.204895 | − | 0.0476462i | ||||
\(239\) | 2.34716 | − | 1.70531i | 0.151825 | − | 0.110307i | −0.509279 | − | 0.860601i | \(-0.670088\pi\) |
0.661104 | + | 0.750294i | \(0.270088\pi\) | |||||||
\(240\) | −11.3786 | + | 1.30557i | −0.734485 | + | 0.0842743i | ||||
\(241\) | 1.46346 | 0.0942700 | 0.0471350 | − | 0.998889i | \(-0.484991\pi\) | ||||
0.0471350 | + | 0.998889i | \(0.484991\pi\) | |||||||
\(242\) | −7.07138 | − | 14.6047i | −0.454566 | − | 0.938827i | ||||
\(243\) | −21.0683 | −1.35153 | ||||||||
\(244\) | −0.256629 | + | 0.0294454i | −0.0164290 | + | 0.00188505i | ||||
\(245\) | 5.18272 | − | 3.76546i | 0.331112 | − | 0.240567i | ||||
\(246\) | 22.5517 | − | 5.24417i | 1.43784 | − | 0.334356i | ||||
\(247\) | −14.1206 | − | 20.6508i | −0.898475 | − | 1.31398i | ||||
\(248\) | −11.1882 | + | 10.2684i | −0.710450 | + | 0.652046i | ||||
\(249\) | −21.7711 | + | 22.4019i | −1.37969 | + | 1.41966i | ||||
\(250\) | 1.38936 | − | 0.495722i | 0.0878706 | − | 0.0313522i | ||||
\(251\) | 1.75241 | − | 5.39337i | 0.110611 | − | 0.340426i | −0.880395 | − | 0.474241i | \(-0.842723\pi\) |
0.991006 | + | 0.133814i | \(0.0427226\pi\) | |||||||
\(252\) | −0.357616 | − | 0.412710i | −0.0225277 | − | 0.0259983i | ||||
\(253\) | −12.3779 | − | 6.35402i | −0.778189 | − | 0.399474i | ||||
\(254\) | −10.0871 | + | 11.6412i | −0.632924 | + | 0.730433i | ||||
\(255\) | 3.90763 | + | 6.48008i | 0.244706 | + | 0.405799i | ||||
\(256\) | 2.56074 | − | 3.32082i | 0.160046 | − | 0.207552i | ||||
\(257\) | 13.3600 | + | 4.76682i | 0.833371 | + | 0.297346i | 0.718058 | − | 0.695983i | \(-0.245031\pi\) |
0.115313 | + | 0.993329i | \(0.463213\pi\) | |||||||
\(258\) | 43.2027 | − | 21.2413i | 2.68968 | − | 1.32243i | ||||
\(259\) | −4.77185 | − | 3.90192i | −0.296508 | − | 0.242453i | ||||
\(260\) | −0.202239 | + | 0.998089i | −0.0125423 | + | 0.0618989i | ||||
\(261\) | −8.57159 | + | 0.490141i | −0.530568 | + | 0.0303390i | ||||
\(262\) | −2.07737 | − | 1.90659i | −0.128340 | − | 0.117790i | ||||
\(263\) | −3.76641 | + | 26.1959i | −0.232246 | + | 1.61531i | 0.456101 | + | 0.889928i | \(0.349246\pi\) |
−0.688347 | + | 0.725382i | \(0.741663\pi\) | |||||||
\(264\) | −8.19869 | − | 22.1861i | −0.504595 | − | 1.36546i | ||||
\(265\) | 0.362757 | + | 2.52303i | 0.0222840 | + | 0.154988i | ||||
\(266\) | 2.77491 | − | 4.05817i | 0.170140 | − | 0.248822i | ||||
\(267\) | −9.56810 | + | 24.5755i | −0.585558 | + | 1.50399i | ||||
\(268\) | 0.152858 | + | 0.198230i | 0.00933728 | + | 0.0121088i | ||||
\(269\) | −2.74137 | − | 8.43706i | −0.167144 | − | 0.514417i | 0.832044 | − | 0.554710i | \(-0.187171\pi\) |
−0.999188 | + | 0.0402932i | \(0.987171\pi\) | |||||||
\(270\) | 2.07022 | − | 3.43307i | 0.125990 | − | 0.208930i | ||||
\(271\) | −6.47788 | − | 16.6383i | −0.393503 | − | 1.01070i | −0.979688 | − | 0.200527i | \(-0.935735\pi\) |
0.586185 | − | 0.810177i | \(-0.300629\pi\) | |||||||
\(272\) | −12.0159 | − | 2.79418i | −0.728571 | − | 0.169422i | ||||
\(273\) | 10.8828 | − | 4.59910i | 0.658656 | − | 0.278350i | ||||
\(274\) | −26.7399 | + | 17.1847i | −1.61542 | + | 1.03817i | ||||
\(275\) | 1.82440 | + | 2.76976i | 0.110015 | + | 0.167023i | ||||
\(276\) | 1.64680 | + | 1.05834i | 0.0991259 | + | 0.0637043i | ||||
\(277\) | −18.7688 | − | 3.24806i | −1.12771 | − | 0.195157i | −0.424010 | − | 0.905658i | \(-0.639378\pi\) |
−0.703697 | + | 0.710500i | \(0.748469\pi\) | |||||||
\(278\) | 0.243015 | − | 2.82937i | 0.0145751 | − | 0.169694i | ||||
\(279\) | −1.94422 | − | 22.6362i | −0.116398 | − | 1.35519i | ||||
\(280\) | 2.04298 | − | 0.353551i | 0.122091 | − | 0.0211287i | ||||
\(281\) | −3.60030 | − | 1.52150i | −0.214776 | − | 0.0907649i | 0.279228 | − | 0.960225i | \(-0.409922\pi\) |
−0.494003 | + | 0.869460i | \(0.664467\pi\) | |||||||
\(282\) | 1.97057 | + | 1.43171i | 0.117346 | + | 0.0852568i | ||||
\(283\) | 6.14760 | + | 3.47171i | 0.365437 | + | 0.206372i | 0.663503 | − | 0.748173i | \(-0.269069\pi\) |
−0.298066 | + | 0.954545i | \(0.596342\pi\) | |||||||
\(284\) | −0.0173713 | + | 0.608075i | −0.00103080 | + | 0.0360826i | ||||
\(285\) | 10.9988 | + | 3.22953i | 0.651512 | + | 0.191301i | ||||
\(286\) | −28.2782 | + | 1.12658i | −1.67212 | + | 0.0666162i | ||||
\(287\) | −4.37837 | + | 1.28560i | −0.258447 | + | 0.0758868i | ||||
\(288\) | 1.01624 | + | 3.86618i | 0.0598826 | + | 0.227817i | ||||
\(289\) | −1.75739 | − | 8.67308i | −0.103376 | − | 0.510181i | ||||
\(290\) | −1.46829 | + | 2.78271i | −0.0862207 | + | 0.163406i | ||||
\(291\) | −0.373628 | − | 13.0787i | −0.0219025 | − | 0.766687i | ||||
\(292\) | −0.632795 | + | 2.40740i | −0.0370315 | + | 0.140883i | ||||
\(293\) | 12.7680 | + | 0.730098i | 0.745912 | + | 0.0426528i | 0.425912 | − | 0.904765i | \(-0.359953\pi\) |
0.320000 | + | 0.947417i | \(0.396317\pi\) | |||||||
\(294\) | −17.4567 | − | 17.9625i | −1.01809 | − | 1.04759i | ||||
\(295\) | 8.16648 | + | 4.01519i | 0.475471 | + | 0.233773i | ||||
\(296\) | 8.94070 | + | 19.5774i | 0.519667 | + | 1.13791i | ||||
\(297\) | 8.60317 | + | 2.68864i | 0.499207 | + | 0.156011i | ||||
\(298\) | 8.12195 | − | 17.7846i | 0.470492 | − | 1.03023i | ||||
\(299\) | −18.7856 | + | 15.3609i | −1.08640 | + | 0.888343i | ||||
\(300\) | −0.217762 | − | 0.412705i | −0.0125725 | − | 0.0238276i | ||||
\(301\) | −8.26176 | + | 4.66563i | −0.476200 | + | 0.268923i | ||||
\(302\) | 12.1823 | + | 1.39779i | 0.701012 | + | 0.0804336i | ||||
\(303\) | −31.8901 | − | 3.65905i | −1.83204 | − | 0.210207i | ||||
\(304\) | −16.2726 | + | 9.18955i | −0.933296 | + | 0.527057i | ||||
\(305\) | 0.684717 | + | 1.29768i | 0.0392068 | + | 0.0743052i | ||||
\(306\) | 13.1236 | − | 10.7311i | 0.750227 | − | 0.613457i | ||||
\(307\) | −4.18052 | + | 9.15406i | −0.238595 | + | 0.522450i | −0.990614 | − | 0.136692i | \(-0.956353\pi\) |
0.752019 | + | 0.659142i | \(0.229080\pi\) | |||||||
\(308\) | −0.179806 | − | 0.412459i | −0.0102454 | − | 0.0235021i | ||||
\(309\) | 13.9496 | + | 30.5454i | 0.793565 | + | 1.73767i | ||||
\(310\) | −7.47167 | − | 3.67357i | −0.424362 | − | 0.208645i | ||||
\(311\) | 18.7212 | + | 19.2637i | 1.06158 | + | 1.09234i | 0.995522 | + | 0.0945265i | \(0.0301337\pi\) |
0.0660598 | + | 0.997816i | \(0.478957\pi\) | |||||||
\(312\) | −41.1847 | − | 2.35503i | −2.33163 | − | 0.133327i | ||||
\(313\) | −6.72935 | + | 25.6011i | −0.380366 | + | 1.44706i | 0.451594 | + | 0.892224i | \(0.350856\pi\) |
−0.831959 | + | 0.554837i | \(0.812781\pi\) | |||||||
\(314\) | −0.134413 | − | 4.70507i | −0.00758536 | − | 0.265522i | ||||
\(315\) | −1.44755 | + | 2.74341i | −0.0815601 | + | 0.154574i | ||||
\(316\) | −0.398743 | − | 1.96787i | −0.0224310 | − | 0.110702i | ||||
\(317\) | −0.730206 | − | 2.77799i | −0.0410124 | − | 0.156028i | 0.943489 | − | 0.331404i | \(-0.107522\pi\) |
−0.984501 | + | 0.175376i | \(0.943886\pi\) | |||||||
\(318\) | 9.56259 | − | 2.80783i | 0.536243 | − | 0.157455i | ||||
\(319\) | −6.86141 | − | 1.72120i | −0.384165 | − | 0.0963689i | ||||
\(320\) | −6.88654 | − | 2.02207i | −0.384969 | − | 0.113037i | ||||
\(321\) | −1.30282 | + | 45.6045i | −0.0727161 | + | 2.54540i | ||||
\(322\) | −4.15231 | − | 2.34492i | −0.231399 | − | 0.130677i | ||||
\(323\) | 9.98903 | + | 7.25746i | 0.555805 | + | 0.403816i | ||||
\(324\) | 0.790187 | + | 0.333936i | 0.0438993 | + | 0.0185520i | ||||
\(325\) | 5.69977 | − | 0.986383i | 0.316166 | − | 0.0547147i | ||||
\(326\) | −0.830643 | − | 9.67100i | −0.0460051 | − | 0.535627i | ||||
\(327\) | 2.18913 | − | 25.4876i | 0.121059 | − | 1.40947i | ||||
\(328\) | 15.6995 | + | 2.71690i | 0.866859 | + | 0.150016i | ||||
\(329\) | −0.403848 | − | 0.259537i | −0.0222649 | − | 0.0143088i | ||||
\(330\) | 9.70414 | − | 8.60186i | 0.534195 | − | 0.473517i | ||||
\(331\) | −16.1238 | + | 10.3621i | −0.886242 | + | 0.569553i | −0.902680 | − | 0.430312i | \(-0.858404\pi\) |
0.0164386 | + | 0.999865i | \(0.494767\pi\) | |||||||
\(332\) | 1.91123 | − | 0.807693i | 0.104892 | − | 0.0443279i | ||||
\(333\) | −31.3623 | − | 7.29299i | −1.71864 | − | 0.399653i | ||||
\(334\) | −1.52599 | − | 3.91948i | −0.0834986 | − | 0.214464i | ||||
\(335\) | 0.734242 | − | 1.21760i | 0.0401159 | − | 0.0665248i | ||||
\(336\) | −2.72731 | − | 8.39381i | −0.148787 | − | 0.457920i | ||||
\(337\) | 0.721511 | + | 0.935672i | 0.0393032 | + | 0.0509693i | 0.811144 | − | 0.584847i | \(-0.198845\pi\) |
−0.771840 | + | 0.635816i | \(0.780664\pi\) | |||||||
\(338\) | −10.9502 | + | 28.1254i | −0.595613 | + | 1.52982i | ||||
\(339\) | 14.0783 | − | 20.5888i | 0.764627 | − | 1.11823i | ||||
\(340\) | −0.0715301 | − | 0.497502i | −0.00387926 | − | 0.0269809i | ||||
\(341\) | 4.03437 | − | 18.2796i | 0.218473 | − | 0.989895i | ||||
\(342\) | 3.65473 | − | 25.4192i | 0.197625 | − | 1.37452i | ||||
\(343\) | 7.61104 | + | 6.98535i | 0.410958 | + | 0.377174i | ||||
\(344\) | 33.0747 | − | 1.89128i | 1.78327 | − | 0.101971i | ||||
\(345\) | 2.20816 | − | 10.8977i | 0.118883 | − | 0.586713i | ||||
\(346\) | 27.5221 | + | 22.5047i | 1.47960 | + | 1.20986i | ||||
\(347\) | 13.8676 | − | 6.81824i | 0.744452 | − | 0.366022i | −0.0292501 | − | 0.999572i | \(-0.509312\pi\) |
0.773702 | + | 0.633550i | \(0.218403\pi\) | |||||||
\(348\) | 0.937396 | + | 0.334462i | 0.0502497 | + | 0.0179291i | ||||
\(349\) | −11.5171 | + | 14.9357i | −0.616497 | + | 0.799488i | −0.991852 | − | 0.127393i | \(-0.959339\pi\) |
0.375355 | + | 0.926881i | \(0.377521\pi\) | |||||||
\(350\) | 0.587006 | + | 0.973441i | 0.0313768 | + | 0.0520326i | ||||
\(351\) | 10.2946 | − | 11.8807i | 0.549487 | − | 0.634142i | ||||
\(352\) | −0.151002 | + | 3.29024i | −0.00804842 | + | 0.175371i | ||||
\(353\) | 1.03812 | + | 1.19806i | 0.0552536 | + | 0.0637661i | 0.782704 | − | 0.622395i | \(-0.213840\pi\) |
−0.727450 | + | 0.686161i | \(0.759295\pi\) | |||||||
\(354\) | 10.9951 | − | 33.8395i | 0.584384 | − | 1.79855i | ||||
\(355\) | 3.25440 | − | 1.16117i | 0.172726 | − | 0.0616284i | ||||
\(356\) | 1.22082 | − | 1.25619i | 0.0647033 | − | 0.0665781i | ||||
\(357\) | −4.29604 | + | 3.94287i | −0.227371 | + | 0.208679i | ||||
\(358\) | −18.0680 | − | 26.4236i | −0.954922 | − | 1.39653i | ||||
\(359\) | −5.56333 | + | 1.29370i | −0.293621 | + | 0.0682787i | −0.370720 | − | 0.928745i | \(-0.620889\pi\) |
0.0770985 | + | 0.997023i | \(0.475434\pi\) | |||||||
\(360\) | 8.76206 | − | 6.36601i | 0.461801 | − | 0.335518i | ||||
\(361\) | −0.293885 | + | 0.0337202i | −0.0154677 | + | 0.00177475i | ||||
\(362\) | 19.8554 | 1.04358 | ||||||||
\(363\) | 23.9675 | + | 16.6020i | 1.25797 | + | 0.871378i | ||||
\(364\) | −0.784749 | −0.0411320 | ||||||||
\(365\) | 14.0467 | − | 1.61171i | 0.735238 | − | 0.0843607i | ||||
\(366\) | 4.64119 | − | 3.37202i | 0.242599 | − | 0.176259i | ||||
\(367\) | 8.34088 | − | 1.93959i | 0.435390 | − | 0.101246i | −0.00307203 | − | 0.999995i | \(-0.500978\pi\) |
0.438462 | + | 0.898750i | \(0.355523\pi\) | |||||||
\(368\) | 10.2319 | + | 14.9636i | 0.533373 | + | 0.780033i | ||||
\(369\) | −17.5615 | + | 16.1178i | −0.914218 | + | 0.839061i | ||||
\(370\) | −8.22376 | + | 8.46205i | −0.427533 | + | 0.439921i | ||||
\(371\) | −1.84999 | + | 0.660074i | −0.0960465 | + | 0.0342693i | ||||
\(372\) | −0.813871 | + | 2.50484i | −0.0421972 | + | 0.129870i | ||||
\(373\) | −19.8223 | − | 22.8762i | −1.02636 | − | 1.18448i | −0.982656 | − | 0.185440i | \(-0.940629\pi\) |
−0.0437059 | − | 0.999044i | \(-0.513916\pi\) | |||||||
\(374\) | 12.9582 | − | 5.21383i | 0.670052 | − | 0.269601i | ||||
\(375\) | −1.73573 | + | 2.00314i | −0.0896327 | + | 0.103442i | ||||
\(376\) | 0.865562 | + | 1.43537i | 0.0446379 | + | 0.0740237i | ||||
\(377\) | −7.53398 | + | 9.77023i | −0.388019 | + | 0.503193i | ||||
\(378\) | 2.90961 | + | 1.03815i | 0.149654 | + | 0.0533966i | ||||
\(379\) | 9.31843 | − | 4.58156i | 0.478655 | − | 0.235339i | −0.185913 | − | 0.982566i | \(-0.559524\pi\) |
0.664569 | + | 0.747227i | \(0.268615\pi\) | |||||||
\(380\) | −0.589429 | − | 0.481974i | −0.0302371 | − | 0.0247247i | ||||
\(381\) | 5.49638 | − | 27.1257i | 0.281588 | − | 1.38969i | ||||
\(382\) | 19.4731 | − | 1.11351i | 0.996328 | − | 0.0569721i | ||||
\(383\) | 21.7366 | + | 19.9497i | 1.11069 | + | 1.01938i | 0.999673 | + | 0.0255642i | \(0.00813824\pi\) |
0.111018 | + | 0.993818i | \(0.464589\pi\) | |||||||
\(384\) | −4.74293 | + | 32.9878i | −0.242036 | + | 1.68340i | ||||
\(385\) | −1.81265 | + | 1.80173i | −0.0923811 | + | 0.0918245i | ||||
\(386\) | −0.529141 | − | 3.68026i | −0.0269326 | − | 0.187320i | ||||
\(387\) | −27.9756 | + | 40.9130i | −1.42208 | + | 2.07972i | ||||
\(388\) | −0.315302 | + | 0.809846i | −0.0160070 | + | 0.0411137i | ||||
\(389\) | −1.48736 | − | 1.92884i | −0.0754121 | − | 0.0977961i | 0.752685 | − | 0.658381i | \(-0.228758\pi\) |
−0.828097 | + | 0.560585i | \(0.810576\pi\) | |||||||
\(390\) | −6.98900 | − | 21.5099i | −0.353902 | − | 1.08920i | ||||
\(391\) | 6.18472 | − | 10.2562i | 0.312775 | − | 0.518678i | ||||
\(392\) | −6.25350 | − | 16.0620i | −0.315850 | − | 0.811253i | ||||
\(393\) | 4.93471 | + | 1.14752i | 0.248923 | + | 0.0578846i | ||||
\(394\) | 10.7226 | − | 4.53141i | 0.540197 | − | 0.228289i | ||||
\(395\) | −9.59444 | + | 6.16597i | −0.482749 | + | 0.310244i | ||||
\(396\) | −1.79352 | − | 1.51908i | −0.0901278 | − | 0.0763368i | ||||
\(397\) | −29.9672 | − | 19.2587i | −1.50401 | − | 0.966568i | −0.994345 | − | 0.106194i | \(-0.966134\pi\) |
−0.509663 | − | 0.860374i | \(-0.670230\pi\) | |||||||
\(398\) | −21.6202 | − | 3.74153i | −1.08372 | − | 0.187546i | ||||
\(399\) | −0.755916 | + | 8.80097i | −0.0378431 | + | 0.440600i | ||||
\(400\) | −0.369779 | − | 4.30526i | −0.0184890 | − | 0.215263i | ||||
\(401\) | −8.14019 | + | 1.40871i | −0.406501 | + | 0.0703478i | −0.370106 | − | 0.928990i | \(-0.620679\pi\) |
−0.0363957 | + | 0.999337i | \(0.511588\pi\) | |||||||
\(402\) | −5.12084 | − | 2.16408i | −0.255404 | − | 0.107935i | ||||
\(403\) | −26.4131 | − | 19.1903i | −1.31573 | − | 0.955936i | ||||
\(404\) | 1.85650 | + | 1.04842i | 0.0923646 | + | 0.0521607i | ||||
\(405\) | 0.139145 | − | 4.87072i | 0.00691418 | − | 0.242028i | ||||
\(406\) | −2.32632 | − | 0.683068i | −0.115453 | − | 0.0339001i | ||||
\(407\) | −22.8718 | − | 13.4434i | −1.13371 | − | 0.666366i | ||||
\(408\) | 19.5352 | − | 5.73606i | 0.967138 | − | 0.283977i | ||||
\(409\) | −3.21702 | − | 12.2388i | −0.159072 | − | 0.605171i | −0.998130 | − | 0.0611295i | \(-0.980530\pi\) |
0.839058 | − | 0.544042i | \(-0.183107\pi\) | |||||||
\(410\) | 1.73476 | + | 8.56138i | 0.0856737 | + | 0.422816i | ||||
\(411\) | 26.6526 | − | 50.5123i | 1.31468 | − | 2.49159i | ||||
\(412\) | −0.0636922 | − | 2.22952i | −0.00313789 | − | 0.109841i | ||||
\(413\) | −1.78271 | + | 6.78213i | −0.0877214 | + | 0.333727i | ||||
\(414\) | −24.8695 | − | 1.42209i | −1.22227 | − | 0.0698918i | ||||
\(415\) | −8.21385 | − | 8.45186i | −0.403202 | − | 0.414885i | ||||
\(416\) | 5.15512 | + | 2.53460i | 0.252750 | + | 0.124269i | ||||
\(417\) | 2.11966 | + | 4.64142i | 0.103800 | + | 0.227291i | ||||
\(418\) | 9.12155 | − | 19.0922i | 0.446150 | − | 0.933829i | ||||
\(419\) | −7.24447 | + | 15.8632i | −0.353915 | + | 0.774967i | 0.646017 | + | 0.763323i | \(0.276434\pi\) |
−0.999932 | + | 0.0116434i | \(0.996294\pi\) | |||||||
\(420\) | 0.278368 | − | 0.227621i | 0.0135830 | − | 0.0111067i | ||||
\(421\) | −1.87506 | − | 3.55364i | −0.0913850 | − | 0.173194i | 0.834491 | − | 0.551022i | \(-0.185762\pi\) |
−0.925876 | + | 0.377828i | \(0.876671\pi\) | |||||||
\(422\) | 30.1742 | − | 17.0402i | 1.46886 | − | 0.829503i | ||||
\(423\) | −2.49131 | − | 0.285852i | −0.121132 | − | 0.0138986i | ||||
\(424\) | 6.81353 | + | 0.781780i | 0.330894 | + | 0.0379666i | ||||
\(425\) | −2.48592 | + | 1.40387i | −0.120585 | + | 0.0680975i | ||||
\(426\) | −6.30475 | − | 11.9488i | −0.305466 | − | 0.578922i | ||||
\(427\) | −0.875283 | + | 0.715715i | −0.0423579 | + | 0.0346359i | ||||
\(428\) | 1.25886 | − | 2.75651i | 0.0608491 | − | 0.133241i | ||||
\(429\) | 43.2473 | − | 26.7476i | 2.08800 | − | 1.29139i | ||||
\(430\) | 7.54526 | + | 16.5218i | 0.363865 | + | 0.796752i | ||||
\(431\) | 32.0414 | + | 15.7537i | 1.54338 | + | 0.758830i | 0.996903 | − | 0.0786428i | \(-0.0250587\pi\) |
0.546479 | + | 0.837473i | \(0.315968\pi\) | |||||||
\(432\) | −8.18440 | − | 8.42155i | −0.393772 | − | 0.405182i | ||||
\(433\) | 12.4354 | + | 0.711081i | 0.597606 | + | 0.0341724i | 0.353275 | − | 0.935520i | \(-0.385068\pi\) |
0.244331 | + | 0.969692i | \(0.421432\pi\) | |||||||
\(434\) | 1.63103 | − | 6.20510i | 0.0782922 | − | 0.297854i | ||||
\(435\) | −0.161436 | − | 5.65099i | −0.00774026 | − | 0.270944i | ||||
\(436\) | −0.792942 | + | 1.50279i | −0.0379750 | + | 0.0719707i | ||||
\(437\) | −3.60302 | − | 17.7816i | −0.172356 | − | 0.850610i | ||||
\(438\) | −14.0537 | − | 53.4657i | −0.671510 | − | 2.55469i | ||||
\(439\) | 7.86639 | − | 2.30978i | 0.375442 | − | 0.110240i | −0.0885668 | − | 0.996070i | \(-0.528229\pi\) |
0.464009 | + | 0.885830i | \(0.346410\pi\) | |||||||
\(440\) | 8.45533 | − | 2.85294i | 0.403092 | − | 0.136008i | ||||
\(441\) | 24.7425 | + | 7.26505i | 1.17821 | + | 0.345955i | ||||
\(442\) | 0.695655 | − | 24.3511i | 0.0330889 | − | 1.15826i | ||||
\(443\) | 4.05011 | + | 2.28720i | 0.192426 | + | 0.108668i | 0.584935 | − | 0.811080i | \(-0.301120\pi\) |
−0.392509 | + | 0.919748i | \(0.628393\pi\) | |||||||
\(444\) | 3.01978 | + | 2.19400i | 0.143312 | + | 0.104123i | ||||
\(445\) | −9.16502 | − | 3.87317i | −0.434464 | − | 0.183606i | ||||
\(446\) | −0.512764 | + | 0.0887373i | −0.0242801 | + | 0.00420183i | ||||
\(447\) | 3.00624 | + | 35.0010i | 0.142190 | + | 1.65549i | ||||
\(448\) | 0.473293 | − | 5.51045i | 0.0223610 | − | 0.260344i | ||||
\(449\) | 36.2404 | + | 6.27165i | 1.71029 | + | 0.295978i | 0.939864 | − | 0.341550i | \(-0.110952\pi\) |
0.770428 | + | 0.637527i | \(0.220043\pi\) | |||||||
\(450\) | 4.99532 | + | 3.21030i | 0.235482 | + | 0.151335i | ||||
\(451\) | −17.7722 | + | 8.35938i | −0.836862 | + | 0.393628i | ||||
\(452\) | −1.39368 | + | 0.895667i | −0.0655534 | + | 0.0421286i | ||||
\(453\) | −20.2948 | + | 8.57667i | −0.953534 | + | 0.402967i | ||||
\(454\) | 26.1390 | + | 6.07835i | 1.22676 | + | 0.285271i | ||||
\(455\) | 1.61721 | + | 4.15376i | 0.0758158 | + | 0.194731i | ||||
\(456\) | 15.9270 | − | 26.4120i | 0.745850 | − | 1.23685i | ||||
\(457\) | 2.24594 | + | 6.91230i | 0.105061 | + | 0.323344i | 0.989745 | − | 0.142848i | \(-0.0456259\pi\) |
−0.884684 | + | 0.466191i | \(0.845626\pi\) | |||||||
\(458\) | 13.0958 | + | 16.9829i | 0.611927 | + | 0.793561i | ||||
\(459\) | −2.81495 | + | 7.23014i | −0.131391 | + | 0.337474i | ||||
\(460\) | −0.416871 | + | 0.609654i | −0.0194367 | + | 0.0284253i | ||||
\(461\) | −3.36600 | − | 23.4111i | −0.156770 | − | 1.09036i | −0.904535 | − | 0.426399i | \(-0.859782\pi\) |
0.747765 | − | 0.663964i | \(-0.231127\pi\) | |||||||
\(462\) | 7.98154 | + | 6.01262i | 0.371335 | + | 0.279733i | ||||
\(463\) | 5.59622 | − | 38.9226i | 0.260078 | − | 1.80889i | −0.272118 | − | 0.962264i | \(-0.587724\pi\) |
0.532196 | − | 0.846621i | \(-0.321367\pi\) | |||||||
\(464\) | 6.79014 | + | 6.23194i | 0.315224 | + | 0.289310i | ||||
\(465\) | 14.9356 | − | 0.854048i | 0.692621 | − | 0.0396055i | ||||
\(466\) | 0.695879 | − | 3.43430i | 0.0322360 | − | 0.159091i | ||||
\(467\) | −2.77063 | − | 2.26553i | −0.128209 | − | 0.104836i | 0.566734 | − | 0.823901i | \(-0.308207\pi\) |
−0.694943 | + | 0.719065i | \(0.744570\pi\) | |||||||
\(468\) | −3.67869 | + | 1.80869i | −0.170048 | + | 0.0836068i | ||||
\(469\) | 1.03195 | + | 0.368199i | 0.0476510 | + | 0.0170018i | ||||
\(470\) | −0.561167 | + | 0.727735i | −0.0258847 | + | 0.0335679i | ||||
\(471\) | 4.36743 | + | 7.24257i | 0.201240 | + | 0.333720i | ||||
\(472\) | 16.0341 | − | 18.5044i | 0.738031 | − | 0.851733i | ||||
\(473\) | −32.0561 | + | 25.2995i | −1.47394 | + | 1.16327i | ||||
\(474\) | 29.2018 | + | 33.7007i | 1.34128 | + | 1.54792i | ||||
\(475\) | −1.33645 | + | 4.11316i | −0.0613204 | + | 0.188725i | ||||
\(476\) | 0.364789 | − | 0.130156i | 0.0167201 | − | 0.00596571i | ||||
\(477\) | −7.15090 | + | 7.35811i | −0.327417 | + | 0.336905i | ||||
\(478\) | 3.15307 | − | 2.89386i | 0.144218 | − | 0.132362i | ||||
\(479\) | 1.40012 | + | 2.04761i | 0.0639732 | + | 0.0935579i | 0.856132 | − | 0.516757i | \(-0.172861\pi\) |
−0.792159 | + | 0.610315i | \(0.791043\pi\) | |||||||
\(480\) | −2.56381 | + | 0.596189i | −0.117021 | + | 0.0272122i | ||||
\(481\) | −37.4339 | + | 27.1973i | −1.70684 | + | 1.24009i | ||||
\(482\) | 2.14475 | − | 0.246087i | 0.0976907 | − | 0.0112090i | ||||
\(483\) | 8.56834 | 0.389873 | ||||||||
\(484\) | −1.03713 | − | 1.63545i | −0.0471422 | − | 0.0743386i | ||||
\(485\) | 4.93637 | 0.224149 | ||||||||
\(486\) | −30.8762 | + | 3.54271i | −1.40057 | + | 0.160701i | ||||
\(487\) | −20.4217 | + | 14.8372i | −0.925394 | + | 0.672338i | −0.944861 | − | 0.327472i | \(-0.893803\pi\) |
0.0194666 | + | 0.999811i | \(0.493803\pi\) | |||||||
\(488\) | 3.84517 | − | 0.894155i | 0.174063 | − | 0.0404765i | ||||
\(489\) | 9.84434 | + | 14.3969i | 0.445176 | + | 0.651050i | ||||
\(490\) | 6.96225 | − | 6.38989i | 0.314522 | − | 0.288666i | ||||
\(491\) | 11.0322 | − | 11.3519i | 0.497878 | − | 0.512305i | −0.420885 | − | 0.907114i | \(-0.638280\pi\) |
0.918763 | + | 0.394809i | \(0.129189\pi\) | |||||||
\(492\) | 2.60256 | − | 0.928591i | 0.117332 | − | 0.0418641i | ||||
\(493\) | 1.88169 | − | 5.79124i | 0.0847469 | − | 0.260824i | ||||
\(494\) | −24.1667 | − | 27.8899i | −1.08731 | − | 1.25483i | ||||
\(495\) | −4.34459 | + | 12.6238i | −0.195275 | + | 0.567398i | ||||
\(496\) | −15.9714 | + | 18.4319i | −0.717135 | + | 0.827618i | ||||
\(497\) | 1.37499 | + | 2.28017i | 0.0616768 | + | 0.102280i | ||||
\(498\) | −28.1392 | + | 36.4916i | −1.26095 | + | 1.63523i | ||||
\(499\) | −4.78381 | − | 1.70686i | −0.214153 | − | 0.0764095i | 0.226794 | − | 0.973943i | \(-0.427175\pi\) |
−0.440947 | + | 0.897533i | \(0.645357\pi\) | |||||||
\(500\) | 0.157989 | − | 0.0776780i | 0.00706549 | − | 0.00347387i | ||||
\(501\) | 5.85053 | + | 4.78395i | 0.261382 | + | 0.213731i | ||||
\(502\) | 1.66130 | − | 8.19882i | 0.0741472 | − | 0.365931i | ||||
\(503\) | 24.9205 | − | 1.42501i | 1.11115 | − | 0.0635380i | 0.508143 | − | 0.861273i | \(-0.330332\pi\) |
0.603009 | + | 0.797735i | \(0.293968\pi\) | |||||||
\(504\) | 6.14876 | + | 5.64328i | 0.273888 | + | 0.251372i | ||||
\(505\) | 1.72351 | − | 11.9872i | 0.0766950 | − | 0.533425i | ||||
\(506\) | −19.2086 | − | 7.23062i | −0.853925 | − | 0.321440i | ||||
\(507\) | −7.71783 | − | 53.6787i | −0.342761 | − | 2.38395i | ||||
\(508\) | −1.03764 | + | 1.51750i | −0.0460379 | + | 0.0673282i | ||||
\(509\) | 1.96523 | − | 5.04766i | 0.0871074 | − | 0.223734i | −0.881571 | − | 0.472051i | \(-0.843514\pi\) |
0.968679 | + | 0.248317i | \(0.0798775\pi\) | |||||||
\(510\) | 6.81640 | + | 8.83967i | 0.301835 | + | 0.391427i | ||||
\(511\) | 3.36683 | + | 10.3620i | 0.148940 | + | 0.458389i | ||||
\(512\) | −9.79162 | + | 16.2376i | −0.432732 | + | 0.717606i | ||||
\(513\) | 4.26426 | + | 10.9527i | 0.188272 | + | 0.483572i | ||||
\(514\) | 20.3810 | + | 4.73939i | 0.898966 | + | 0.209046i | ||||
\(515\) | −11.6698 | + | 4.93171i | −0.514234 | + | 0.217317i | ||||
\(516\) | 4.83347 | − | 3.10629i | 0.212782 | − | 0.136747i | ||||
\(517\) | −1.88899 | − | 0.837099i | −0.0830775 | − | 0.0368156i | ||||
\(518\) | −7.64940 | − | 4.91597i | −0.336096 | − | 0.215995i | ||||
\(519\) | −62.9437 | − | 10.8928i | −2.76292 | − | 0.478142i | ||||
\(520\) | 1.33186 | − | 15.5066i | 0.0584060 | − | 0.680008i | ||||
\(521\) | 2.76159 | + | 32.1526i | 0.120987 | + | 1.40863i | 0.765205 | + | 0.643787i | \(0.222638\pi\) |
−0.644217 | + | 0.764843i | \(0.722817\pi\) | |||||||
\(522\) | −12.4795 | + | 2.15966i | −0.546213 | + | 0.0945258i | ||||
\(523\) | −34.0348 | − | 14.3832i | −1.48824 | − | 0.628935i | −0.514683 | − | 0.857381i | \(-0.672090\pi\) |
−0.973557 | + | 0.228445i | \(0.926636\pi\) | |||||||
\(524\) | −0.272247 | − | 0.197799i | −0.0118932 | − | 0.00864089i | ||||
\(525\) | −1.77848 | − | 1.00435i | −0.0776192 | − | 0.0438336i | ||||
\(526\) | −1.11483 | + | 39.0242i | −0.0486090 | + | 1.70154i | ||||
\(527\) | 15.4609 | + | 4.53974i | 0.673489 | + | 0.197754i | ||||
\(528\) | −17.1430 | − | 33.8978i | −0.746053 | − | 1.47521i | ||||
\(529\) | 5.18259 | − | 1.52174i | 0.225330 | − | 0.0661628i | ||||
\(530\) | 0.955888 | + | 3.63658i | 0.0415211 | + | 0.157963i | ||||
\(531\) | 7.27461 | + | 35.9016i | 0.315691 | + | 1.55800i | ||||
\(532\) | 0.273806 | − | 0.518920i | 0.0118710 | − | 0.0224980i | ||||
\(533\) | 0.978158 | + | 34.2400i | 0.0423687 | + | 1.48310i | ||||
\(534\) | −9.88987 | + | 37.6250i | −0.427977 | + | 1.62819i | ||||
\(535\) | −17.1847 | − | 0.982659i | −0.742961 | − | 0.0424840i | ||||
\(536\) | −2.66622 | − | 2.74348i | −0.115163 | − | 0.118500i | ||||
\(537\) | 51.6147 | + | 25.3772i | 2.22734 | + | 1.09511i | ||||
\(538\) | −5.43628 | − | 11.9038i | −0.234375 | − | 0.513209i | ||||
\(539\) | 17.6726 | + | 11.7945i | 0.761215 | + | 0.508024i | ||||
\(540\) | 0.198757 | − | 0.435216i | 0.00855312 | − | 0.0187287i | ||||
\(541\) | −17.4196 | + | 14.2439i | −0.748926 | + | 0.612394i | −0.928492 | − | 0.371352i | \(-0.878894\pi\) |
0.179566 | + | 0.983746i | \(0.442531\pi\) | |||||||
\(542\) | −12.2913 | − | 23.2946i | −0.527957 | − | 1.00059i | ||||
\(543\) | −31.0648 | + | 17.5431i | −1.33312 | + | 0.752847i | ||||
\(544\) | −2.81673 | − | 0.323189i | −0.120766 | − | 0.0138566i | ||||
\(545\) | 9.58853 | + | 1.10018i | 0.410727 | + | 0.0471266i | ||||
\(546\) | 15.1757 | − | 8.57010i | 0.649459 | − | 0.366767i | ||||
\(547\) | 14.8925 | + | 28.2244i | 0.636756 | + | 1.20679i | 0.965014 | + | 0.262199i | \(0.0844477\pi\) |
−0.328258 | + | 0.944588i | \(0.606461\pi\) | |||||||
\(548\) | −2.93671 | + | 2.40134i | −0.125450 | + | 0.102580i | ||||
\(549\) | −2.45351 | + | 5.37244i | −0.104713 | + | 0.229290i | ||||
\(550\) | 3.13946 | + | 3.75238i | 0.133867 | + | 0.160002i | ||||
\(551\) | −3.83195 | − | 8.39081i | −0.163247 | − | 0.357460i | ||||
\(552\) | −26.8476 | − | 13.2001i | −1.14271 | − | 0.561832i | ||||
\(553\) | −6.12506 | − | 6.30254i | −0.260464 | − | 0.268011i | ||||
\(554\) | −28.0524 | − | 1.60409i | −1.19183 | − | 0.0681514i | ||||
\(555\) | 5.38992 | − | 20.5054i | 0.228789 | − | 0.870405i | ||||
\(556\) | −0.00967813 | − | 0.338779i | −0.000410444 | − | 0.0143674i | ||||
\(557\) | −14.5064 | + | 27.4927i | −0.614657 | + | 1.16490i | 0.358233 | + | 0.933632i | \(0.383380\pi\) |
−0.972889 | + | 0.231272i | \(0.925711\pi\) | |||||||
\(558\) | −6.65568 | − | 32.8471i | −0.281757 | − | 1.39053i | ||||
\(559\) | 18.1063 | + | 68.8834i | 0.765814 | + | 2.91346i | ||||
\(560\) | 3.19493 | − | 0.938116i | 0.135010 | − | 0.0396426i | ||||
\(561\) | −15.6671 | + | 19.6065i | −0.661467 | + | 0.827785i | ||||
\(562\) | −5.53218 | − | 1.62440i | −0.233361 | − | 0.0685210i | ||||
\(563\) | −0.225722 | + | 7.90131i | −0.00951306 | + | 0.333001i | 0.980871 | + | 0.194657i | \(0.0623595\pi\) |
−0.990384 | + | 0.138343i | \(0.955822\pi\) | |||||||
\(564\) | 0.253124 | + | 0.142946i | 0.0106585 | + | 0.00601911i | ||||
\(565\) | 7.61296 | + | 5.53114i | 0.320279 | + | 0.232697i | ||||
\(566\) | 9.59327 | + | 4.05415i | 0.403235 | + | 0.170409i | ||||
\(567\) | 3.69987 | − | 0.640287i | 0.155380 | − | 0.0268895i | ||||
\(568\) | −0.795584 | − | 9.26282i | −0.0333820 | − | 0.388659i | ||||
\(569\) | −1.78454 | + | 20.7771i | −0.0748120 | + | 0.871020i | 0.858701 | + | 0.512477i | \(0.171272\pi\) |
−0.933513 | + | 0.358543i | \(0.883274\pi\) | |||||||
\(570\) | 16.6621 | + | 2.88349i | 0.697898 | + | 0.120776i | ||||
\(571\) | −14.5542 | − | 9.35343i | −0.609075 | − | 0.391429i | 0.199435 | − | 0.979911i | \(-0.436089\pi\) |
−0.808510 | + | 0.588482i | \(0.799726\pi\) | |||||||
\(572\) | −3.33756 | + | 0.518284i | −0.139550 | + | 0.0216705i | ||||
\(573\) | −29.4828 | + | 18.9474i | −1.23166 | + | 0.791541i | ||||
\(574\) | −6.20044 | + | 2.62033i | −0.258802 | + | 0.109370i | ||||
\(575\) | 4.08605 | + | 0.950170i | 0.170400 | + | 0.0396248i | ||||
\(576\) | −10.4818 | − | 26.9224i | −0.436743 | − | 1.12177i | ||||
\(577\) | 19.2256 | − | 31.8821i | 0.800374 | − | 1.32727i | −0.141035 | − | 0.990005i | \(-0.545043\pi\) |
0.941409 | − | 0.337266i | \(-0.109502\pi\) | |||||||
\(578\) | −4.03392 | − | 12.4151i | −0.167789 | − | 0.516402i | ||||
\(579\) | 4.07954 | + | 5.29044i | 0.169540 | + | 0.219863i | ||||
\(580\) | −0.136234 | + | 0.349915i | −0.00565683 | + | 0.0145294i | ||||
\(581\) | 5.12622 | − | 7.49686i | 0.212671 | − | 0.311022i | ||||
\(582\) | −2.74680 | − | 19.1044i | −0.113858 | − | 0.791902i | ||||
\(583\) | −7.43210 | + | 4.02913i | −0.307806 | + | 0.166869i | ||||
\(584\) | 5.41392 | − | 37.6546i | 0.224030 | − | 1.55816i | ||||
\(585\) | 17.1546 | + | 15.7444i | 0.709257 | + | 0.650950i | ||||
\(586\) | 18.8346 | − | 1.07700i | 0.778050 | − | 0.0444905i | ||||
\(587\) | 6.21103 | − | 30.6526i | 0.256357 | − | 1.26517i | −0.620419 | − | 0.784270i | \(-0.713038\pi\) |
0.876776 | − | 0.480899i | \(-0.159690\pi\) | |||||||
\(588\) | −2.31417 | − | 1.89229i | −0.0954348 | − | 0.0780367i | ||||
\(589\) | 21.9055 | − | 10.7702i | 0.902599 | − | 0.443778i | ||||
\(590\) | 12.6434 | + | 4.51115i | 0.520520 | + | 0.185721i | ||||
\(591\) | −12.7724 | + | 16.5635i | −0.525386 | + | 0.681332i | ||||
\(592\) | 17.8493 | + | 29.5998i | 0.733602 | + | 1.21654i | ||||
\(593\) | −13.3453 | + | 15.4013i | −0.548027 | + | 0.632457i | −0.960422 | − | 0.278548i | \(-0.910147\pi\) |
0.412395 | + | 0.911005i | \(0.364692\pi\) | |||||||
\(594\) | 13.0603 | + | 2.49363i | 0.535871 | + | 0.102315i | ||||
\(595\) | −1.44069 | − | 1.66264i | −0.0590624 | − | 0.0681616i | ||||
\(596\) | 0.721054 | − | 2.21918i | 0.0295355 | − | 0.0909010i | ||||
\(597\) | 37.1318 | − | 13.2486i | 1.51970 | − | 0.542229i | ||||
\(598\) | −24.9478 | + | 25.6707i | −1.02019 | + | 1.04975i | ||||
\(599\) | 4.06294 | − | 3.72893i | 0.166007 | − | 0.152360i | −0.588866 | − | 0.808230i | \(-0.700426\pi\) |
0.754873 | + | 0.655871i | \(0.227698\pi\) | |||||||
\(600\) | 4.02532 | + | 5.88685i | 0.164333 | + | 0.240330i | ||||
\(601\) | −41.4866 | + | 9.64731i | −1.69228 | + | 0.393522i | −0.958325 | − | 0.285681i | \(-0.907780\pi\) |
−0.733951 | + | 0.679203i | \(0.762326\pi\) | |||||||
\(602\) | −11.3233 | + | 8.22687i | −0.461504 | + | 0.335302i | ||||
\(603\) | 5.68613 | − | 0.652422i | 0.231557 | − | 0.0265687i | ||||
\(604\) | 1.46344 | 0.0595467 | ||||||||
\(605\) | −6.51930 | + | 8.85995i | −0.265047 | + | 0.360208i | ||||
\(606\) | −47.3512 | −1.92351 | ||||||||
\(607\) | 46.2390 | − | 5.30544i | 1.87678 | − | 0.215341i | 0.900961 | − | 0.433900i | \(-0.142863\pi\) |
0.975824 | + | 0.218559i | \(0.0701356\pi\) | |||||||
\(608\) | −3.47469 | + | 2.52451i | −0.140917 | + | 0.102382i | ||||
\(609\) | 4.24317 | − | 0.986706i | 0.171942 | − | 0.0399834i | ||||
\(610\) | 1.22168 | + | 1.78666i | 0.0494645 | + | 0.0723396i | ||||
\(611\) | −2.65489 | + | 2.43664i | −0.107405 | + | 0.0985758i | ||||
\(612\) | 1.41005 | − | 1.45090i | 0.0569978 | − | 0.0586494i | ||||
\(613\) | −18.0399 | + | 6.43661i | −0.728624 | + | 0.259972i | −0.674203 | − | 0.738546i | \(-0.735513\pi\) |
−0.0544203 | + | 0.998518i | \(0.517331\pi\) | |||||||
\(614\) | −4.58738 | + | 14.1185i | −0.185132 | + | 0.569777i | ||||
\(615\) | −10.2785 | − | 11.8620i | −0.414468 | − | 0.478322i | ||||
\(616\) | 3.44860 | + | 5.94924i | 0.138948 | + | 0.239702i | ||||
\(617\) | 25.2363 | − | 29.1242i | 1.01597 | − | 1.17250i | 0.0310476 | − | 0.999518i | \(-0.490116\pi\) |
0.984926 | − | 0.172978i | \(-0.0553389\pi\) | |||||||
\(618\) | 25.5799 | + | 42.4195i | 1.02897 | + | 1.70636i | ||||
\(619\) | −25.9254 | + | 33.6207i | −1.04203 | + | 1.35133i | −0.107995 | + | 0.994151i | \(0.534443\pi\) |
−0.934036 | + | 0.357179i | \(0.883739\pi\) | |||||||
\(620\) | −0.935877 | − | 0.333920i | −0.0375857 | − | 0.0134106i | ||||
\(621\) | 10.2311 | − | 5.03029i | 0.410560 | − | 0.201859i | ||||
\(622\) | 30.6757 | + | 25.0834i | 1.22998 | + | 1.00575i | ||||
\(623\) | 1.52264 | − | 7.51454i | 0.0610034 | − | 0.301064i | ||||
\(624\) | −66.1431 | + | 3.78220i | −2.64784 | + | 0.151409i | ||||
\(625\) | −0.736741 | − | 0.676175i | −0.0294696 | − | 0.0270470i | ||||
\(626\) | −5.55714 | + | 38.6508i | −0.222108 | + | 1.54479i | ||||
\(627\) | 2.59763 | + | 37.9300i | 0.103739 | + | 1.51478i | ||||
\(628\) | −0.0799467 | − | 0.556041i | −0.00319022 | − | 0.0221885i | ||||
\(629\) | 12.8902 | − | 18.8513i | 0.513965 | − | 0.751650i | ||||
\(630\) | −1.66011 | + | 4.26396i | −0.0661403 | + | 0.169880i | ||||
\(631\) | −11.1637 | − | 14.4773i | −0.444418 | − | 0.576332i | 0.515402 | − | 0.856949i | \(-0.327643\pi\) |
−0.959820 | + | 0.280617i | \(0.909461\pi\) | |||||||
\(632\) | 9.48249 | + | 29.1841i | 0.377193 | + | 1.16088i | ||||
\(633\) | −32.1535 | + | 53.3205i | −1.27799 | + | 2.11930i | ||||
\(634\) | −1.53727 | − | 3.94844i | −0.0610527 | − | 0.156813i | ||||
\(635\) | 10.1707 | + | 2.36509i | 0.403610 | + | 0.0938555i | ||||
\(636\) | 1.09562 | − | 0.463012i | 0.0434440 | − | 0.0183596i | ||||
\(637\) | 31.1739 | − | 20.0343i | 1.23516 | − | 0.793786i | ||||
\(638\) | −10.3450 | − | 1.36870i | −0.409563 | − | 0.0541874i | ||||
\(639\) | 11.7009 | + | 7.51974i | 0.462882 | + | 0.297476i | ||||
\(640\) | −12.3895 | − | 2.14409i | −0.489739 | − | 0.0847527i | ||||
\(641\) | 2.97589 | − | 34.6477i | 0.117541 | − | 1.36850i | −0.665438 | − | 0.746453i | \(-0.731755\pi\) |
0.782979 | − | 0.622049i | \(-0.213699\pi\) | |||||||
\(642\) | 5.75926 | + | 67.0539i | 0.227300 | + | 2.64640i | ||||
\(643\) | 8.74412 | − | 1.51323i | 0.344834 | − | 0.0596759i | 0.00452576 | − | 0.999990i | \(-0.498559\pi\) |
0.340309 | + | 0.940314i | \(0.389468\pi\) | |||||||
\(644\) | −0.524231 | − | 0.221542i | −0.0206576 | − | 0.00872998i | ||||
\(645\) | −26.4027 | − | 19.1827i | −1.03961 | − | 0.755317i | ||||
\(646\) | 15.8596 | + | 8.95632i | 0.623987 | + | 0.352382i | ||||
\(647\) | 0.0276976 | − | 0.969543i | 0.00108891 | − | 0.0381167i | −0.998866 | − | 0.0476092i | \(-0.984840\pi\) |
0.999955 | + | 0.00949253i | \(0.00302161\pi\) | |||||||
\(648\) | −12.5794 | − | 3.69364i | −0.494164 | − | 0.145100i | ||||
\(649\) | −3.10268 | + | 30.0220i | −0.121791 | + | 1.17846i | ||||
\(650\) | 8.18731 | − | 2.40401i | 0.321133 | − | 0.0942931i | ||||
\(651\) | 2.93064 | + | 11.1493i | 0.114861 | + | 0.436975i | ||||
\(652\) | −0.230056 | − | 1.13537i | −0.00900968 | − | 0.0444645i | ||||
\(653\) | 17.5524 | − | 33.2655i | 0.686879 | − | 1.30178i | −0.255363 | − | 0.966845i | \(-0.582195\pi\) |
0.942241 | − | 0.334934i | \(-0.108714\pi\) | |||||||
\(654\) | −1.07760 | − | 37.7210i | −0.0421376 | − | 1.47501i | ||||
\(655\) | −0.485926 | + | 1.84866i | −0.0189867 | + | 0.0722330i | ||||
\(656\) | 25.5466 | + | 1.46081i | 0.997426 | + | 0.0570349i | ||||
\(657\) | 39.6652 | + | 40.8146i | 1.54749 | + | 1.59233i | ||||
\(658\) | −0.635493 | − | 0.312451i | −0.0247741 | − | 0.0121806i | ||||
\(659\) | −2.29205 | − | 5.01888i | −0.0892854 | − | 0.195508i | 0.859721 | − | 0.510763i | \(-0.170637\pi\) |
−0.949007 | + | 0.315255i | \(0.897910\pi\) | |||||||
\(660\) | 1.03358 | − | 1.15192i | 0.0402319 | − | 0.0448386i | ||||
\(661\) | 19.1662 | − | 41.9681i | 0.745479 | − | 1.63237i | −0.0288466 | − | 0.999584i | \(-0.509183\pi\) |
0.774326 | − | 0.632787i | \(-0.218089\pi\) | |||||||
\(662\) | −21.8874 | + | 17.8972i | −0.850678 | + | 0.695596i | ||||
\(663\) | 20.4269 | + | 38.7132i | 0.793314 | + | 1.50350i | ||||
\(664\) | −27.6116 | + | 15.5930i | −1.07154 | + | 0.605125i | ||||
\(665\) | −3.31095 | − | 0.379897i | −0.128393 | − | 0.0147318i | ||||
\(666\) | −47.1887 | − | 5.41440i | −1.82853 | − | 0.209804i | ||||
\(667\) | −7.79111 | + | 4.39984i | −0.301673 | + | 0.170363i | ||||
\(668\) | −0.234256 | − | 0.443964i | −0.00906364 | − | 0.0171775i | ||||
\(669\) | 0.723843 | − | 0.591884i | 0.0279854 | − | 0.0228835i | ||||
\(670\) | 0.871308 | − | 1.90790i | 0.0336616 | − | 0.0737086i | ||||
\(671\) | −3.24991 | + | 3.62203i | −0.125461 | + | 0.139827i | ||||
\(672\) | −0.842613 | − | 1.84506i | −0.0325045 | − | 0.0711749i | ||||
\(673\) | 21.8073 | + | 10.7219i | 0.840608 | + | 0.413299i | 0.810140 | − | 0.586237i | \(-0.199391\pi\) |
0.0304682 | + | 0.999536i | \(0.490300\pi\) | |||||||
\(674\) | 1.21473 | + | 1.24993i | 0.0467897 | + | 0.0481455i | ||||
\(675\) | −2.71324 | − | 0.155149i | −0.104433 | − | 0.00597168i | ||||
\(676\) | −0.915715 | + | 3.48374i | −0.0352198 | + | 0.133990i | ||||
\(677\) | −0.122009 | − | 4.27089i | −0.00468920 | − | 0.164144i | −0.998562 | − | 0.0536121i | \(-0.982927\pi\) |
0.993873 | − | 0.110531i | \(-0.0352553\pi\) | |||||||
\(678\) | 17.1700 | − | 32.5408i | 0.659411 | − | 1.24972i | ||||
\(679\) | 0.755423 | + | 3.72816i | 0.0289905 | + | 0.143074i | ||||
\(680\) | 1.95277 | + | 7.42910i | 0.0748852 | + | 0.284893i | ||||
\(681\) | −46.2663 | + | 13.5850i | −1.77293 | + | 0.520578i | ||||
\(682\) | 2.83870 | − | 27.4677i | 0.108700 | − | 1.05179i | ||||
\(683\) | −15.1987 | − | 4.46273i | −0.581560 | − | 0.170762i | −0.0222967 | − | 0.999751i | \(-0.507098\pi\) |
−0.559264 | + | 0.828990i | \(0.688916\pi\) | |||||||
\(684\) | 0.0875208 | − | 3.06363i | 0.00334644 | − | 0.117141i | ||||
\(685\) | 18.7625 | + | 10.5957i | 0.716878 | + | 0.404840i | ||||
\(686\) | 12.3288 | + | 8.95741i | 0.470717 | + | 0.341996i | ||||
\(687\) | −35.4942 | − | 15.0000i | −1.35419 | − | 0.572285i | ||||
\(688\) | 52.4258 | − | 9.07264i | 1.99871 | − | 0.345891i | ||||
\(689\) | 1.26176 | + | 14.6904i | 0.0480693 | + | 0.559661i | ||||
\(690\) | 1.40364 | − | 16.3422i | 0.0534355 | − | 0.622138i | ||||
\(691\) | −36.2057 | − | 6.26565i | −1.37733 | − | 0.238356i | −0.566705 | − | 0.823921i | \(-0.691782\pi\) |
−0.810626 | + | 0.585565i | \(0.800873\pi\) | |||||||
\(692\) | 3.56940 | + | 2.29391i | 0.135688 | + | 0.0872015i | ||||
\(693\) | −10.1989 | − | 1.34937i | −0.387424 | − | 0.0512583i | ||||
\(694\) | 19.1769 | − | 12.3242i | 0.727944 | − | 0.467821i | ||||
\(695\) | −1.77325 | + | 0.749380i | −0.0672631 | + | 0.0284256i | ||||
\(696\) | −14.8154 | − | 3.44517i | −0.561576 | − | 0.130589i | ||||
\(697\) | −6.13365 | − | 15.7542i | −0.232329 | − | 0.596731i | ||||
\(698\) | −14.3672 | + | 23.8253i | −0.543806 | + | 0.901801i | ||||
\(699\) | 1.94561 | + | 5.98798i | 0.0735898 | + | 0.226486i | ||||
\(700\) | 0.0828432 | + | 0.107433i | 0.00313118 | + | 0.00406058i | ||||
\(701\) | −18.5137 | + | 47.5520i | −0.699253 | + | 1.79602i | −0.100723 | + | 0.994914i | \(0.532116\pi\) |
−0.598529 | + | 0.801101i | \(0.704248\pi\) | |||||||
\(702\) | 13.0893 | − | 19.1425i | 0.494025 | − | 0.722488i | ||||
\(703\) | −4.92336 | − | 34.2427i | −0.185688 | − | 1.29149i | ||||
\(704\) | −1.62643 | − | 23.7487i | −0.0612982 | − | 0.895062i | ||||
\(705\) | 0.234991 | − | 1.63440i | 0.00885026 | − | 0.0615549i | ||||
\(706\) | 1.72286 | + | 1.58122i | 0.0648405 | + | 0.0595101i | ||||
\(707\) | 9.31703 | − | 0.532767i | 0.350403 | − | 0.0200368i | ||||
\(708\) | 0.843302 | − | 4.16186i | 0.0316932 | − | 0.156412i | ||||
\(709\) | −11.3101 | − | 9.24819i | −0.424758 | − | 0.347323i | 0.396346 | − | 0.918101i | \(-0.370278\pi\) |
−0.821104 | + | 0.570778i | \(0.806642\pi\) | |||||||
\(710\) | 4.57417 | − | 2.24897i | 0.171665 | − | 0.0844022i | ||||
\(711\) | −43.2388 | − | 15.4276i | −1.62158 | − | 0.578579i | ||||
\(712\) | −16.3476 | + | 21.1999i | −0.612652 | + | 0.794501i | ||||
\(713\) | −12.2270 | − | 20.2763i | −0.457906 | − | 0.759352i | ||||
\(714\) | −5.63297 | + | 6.50079i | −0.210809 | + | 0.243286i | ||||
\(715\) | 9.62135 | + | 16.5980i | 0.359818 | + | 0.620729i | ||||
\(716\) | −2.50176 | − | 2.88718i | −0.0934951 | − | 0.107899i | ||||
\(717\) | −2.37629 | + | 7.31348i | −0.0887443 | + | 0.273127i | ||||
\(718\) | −7.93568 | + | 2.83145i | −0.296157 | + | 0.105669i | ||||
\(719\) | 9.59301 | − | 9.87098i | 0.357759 | − | 0.368125i | −0.514229 | − | 0.857653i | \(-0.671922\pi\) |
0.871988 | + | 0.489528i | \(0.162831\pi\) | |||||||
\(720\) | 12.8148 | − | 11.7613i | 0.477579 | − | 0.438318i | ||||
\(721\) | −5.51049 | − | 8.05884i | −0.205222 | − | 0.300127i | ||||
\(722\) | −0.425028 | + | 0.0988359i | −0.0158179 | + | 0.00367829i | ||||
\(723\) | −3.13815 | + | 2.28000i | −0.116709 | + | 0.0847940i | ||||
\(724\) | 2.35421 | − | 0.270121i | 0.0874936 | − | 0.0100390i | ||||
\(725\) | 2.13289 | 0.0792136 | ||||||||
\(726\) | 37.9167 | + | 20.3005i | 1.40722 | + | 0.753421i | ||||
\(727\) | −27.3602 | −1.01474 | −0.507368 | − | 0.861730i | \(-0.669381\pi\) | ||||
−0.507368 | + | 0.861730i | \(0.669381\pi\) | |||||||
\(728\) | 11.9150 | − | 1.36712i | 0.441601 | − | 0.0506690i | ||||
\(729\) | 33.3510 | − | 24.2309i | 1.23522 | − | 0.897442i | ||||
\(730\) | 20.3148 | − | 4.72401i | 0.751886 | − | 0.174844i | ||||
\(731\) | −19.8415 | − | 29.0172i | −0.733863 | − | 1.07324i | ||||
\(732\) | 0.504422 | − | 0.462955i | 0.0186440 | − | 0.0171113i | ||||
\(733\) | 15.4993 | − | 15.9484i | 0.572480 | − | 0.589068i | −0.367616 | − | 0.929978i | \(-0.619826\pi\) |
0.940096 | + | 0.340909i | \(0.110735\pi\) | |||||||
\(734\) | 11.8976 | − | 4.24507i | 0.439150 | − | 0.156688i | ||||
\(735\) | −5.24705 | + | 16.1488i | −0.193541 | + | 0.595656i | ||||
\(736\) | 2.72820 | + | 3.14851i | 0.100563 | + | 0.116056i | ||||
\(737\) | 4.63208 | + | 0.884412i | 0.170625 | + | 0.0325777i | ||||
\(738\) | −23.0267 | + | 26.5742i | −0.847624 | + | 0.978210i | ||||
\(739\) | 7.03710 | + | 11.6697i | 0.258864 | + | 0.429278i | 0.958446 | − | 0.285275i | \(-0.0920848\pi\) |
−0.699582 | + | 0.714553i | \(0.746630\pi\) | |||||||
\(740\) | −0.859953 | + | 1.11521i | −0.0316125 | + | 0.0409958i | ||||
\(741\) | 62.4521 | + | 22.2828i | 2.29423 | + | 0.818581i | ||||
\(742\) | −2.60022 | + | 1.27844i | −0.0954569 | + | 0.0469330i | ||||
\(743\) | −1.55829 | − | 1.27421i | −0.0571681 | − | 0.0467461i | 0.603997 | − | 0.796987i | \(-0.293574\pi\) |
−0.661165 | + | 0.750241i | \(0.729938\pi\) | |||||||
\(744\) | 7.99349 | − | 39.4494i | 0.293056 | − | 1.44629i | ||||
\(745\) | −13.2323 | + | 0.756649i | −0.484793 | + | 0.0277215i | ||||
\(746\) | −32.8969 | − | 30.1925i | −1.20444 | − | 1.10543i | ||||
\(747\) | 6.75157 | − | 46.9582i | 0.247027 | − | 1.71811i | ||||
\(748\) | 1.46550 | − | 0.794482i | 0.0535838 | − | 0.0290491i | ||||
\(749\) | −1.88767 | − | 13.1290i | −0.0689739 | − | 0.479724i | ||||
\(750\) | −2.20693 | + | 3.22753i | −0.0805856 | + | 0.117853i | ||||
\(751\) | 5.80020 | − | 14.8977i | 0.211652 | − | 0.543624i | −0.785515 | − | 0.618843i | \(-0.787602\pi\) |
0.997167 | + | 0.0752185i | \(0.0239654\pi\) | |||||||
\(752\) | 1.64382 | + | 2.13174i | 0.0599438 | + | 0.0777365i | ||||
\(753\) | 4.64483 | + | 14.2953i | 0.169267 | + | 0.520950i | ||||
\(754\) | −9.39836 | + | 15.5854i | −0.342268 | + | 0.567588i | ||||
\(755\) | −3.01586 | − | 7.74616i | −0.109758 | − | 0.281912i | ||||
\(756\) | 0.359110 | + | 0.0835075i | 0.0130607 | + | 0.00303714i | ||||
\(757\) | 31.1550 | − | 13.1662i | 1.13235 | − | 0.478535i | 0.259120 | − | 0.965845i | \(-0.416567\pi\) |
0.873229 | + | 0.487311i | \(0.162022\pi\) | |||||||
\(758\) | 12.8860 | − | 8.28134i | 0.468041 | − | 0.300792i | ||||
\(759\) | 36.4414 | − | 5.65892i | 1.32274 | − | 0.205406i | ||||
\(760\) | 9.78911 | + | 6.29108i | 0.355088 | + | 0.228201i | ||||
\(761\) | −7.46062 | − | 1.29111i | −0.270447 | − | 0.0468027i | 0.0336853 | − | 0.999432i | \(-0.489276\pi\) |
−0.304132 | + | 0.952630i | \(0.598367\pi\) | |||||||
\(762\) | 3.49381 | − | 40.6777i | 0.126568 | − | 1.47360i | ||||
\(763\) | 0.636448 | + | 7.41003i | 0.0230410 | + | 0.268261i | ||||
\(764\) | 2.29373 | − | 0.396946i | 0.0829843 | − | 0.0143610i | ||||
\(765\) | −10.5856 | − | 4.47352i | −0.382724 | − | 0.161740i | ||||
\(766\) | 35.2103 | + | 25.5818i | 1.27220 | + | 0.924308i | ||||
\(767\) | 45.8359 | + | 25.8847i | 1.65504 | + | 0.934644i | ||||
\(768\) | −0.317399 | + | 11.1104i | −0.0114532 | + | 0.400913i | ||||
\(769\) | −35.4835 | − | 10.4189i | −1.27957 | − | 0.375715i | −0.429824 | − | 0.902913i | \(-0.641424\pi\) |
−0.849742 | + | 0.527198i | \(0.823243\pi\) | |||||||
\(770\) | −2.35352 | + | 2.94529i | −0.0848151 | + | 0.106141i | ||||
\(771\) | −36.0746 | + | 10.5924i | −1.29919 | + | 0.381478i | ||||
\(772\) | −0.112807 | − | 0.429162i | −0.00406001 | − | 0.0154459i | ||||
\(773\) | 7.13097 | + | 35.1927i | 0.256483 | + | 1.26579i | 0.876575 | + | 0.481265i | \(0.159822\pi\) |
−0.620092 | + | 0.784529i | \(0.712905\pi\) | |||||||
\(774\) | −34.1194 | + | 64.6634i | −1.22640 | + | 2.32428i | ||||
\(775\) | 0.161174 | + | 5.64184i | 0.00578955 | + | 0.202661i | ||||
\(776\) | 3.37646 | − | 12.8454i | 0.121208 | − | 0.461123i | ||||
\(777\) | 16.3114 | + | 0.932718i | 0.585167 | + | 0.0334611i | ||||
\(778\) | −2.50411 | − | 2.57667i | −0.0897767 | − | 0.0923780i | ||||
\(779\) | −22.9827 | − | 11.2998i | −0.823441 | − | 0.404858i | ||||
\(780\) | −1.12130 | − | 2.45531i | −0.0401490 | − | 0.0879141i | ||||
\(781\) | 7.35381 | + | 8.78951i | 0.263140 | + | 0.314513i | ||||
\(782\) | 7.33927 | − | 16.0708i | 0.262452 | − | 0.574689i | ||||
\(783\) | 4.48731 | − | 3.66926i | 0.160364 | − | 0.131129i | ||||
\(784\) | −12.9182 | − | 24.4827i | −0.461365 | − | 0.874384i | ||||
\(785\) | −2.77843 | + | 1.56905i | −0.0991665 | + | 0.0560019i | ||||
\(786\) | 7.42492 | + | 0.851930i | 0.264838 | + | 0.0303873i | ||||
\(787\) | 19.0501 | + | 2.18579i | 0.679062 | + | 0.0779151i | 0.446659 | − | 0.894704i | \(-0.352614\pi\) |
0.232403 | + | 0.972619i | \(0.425341\pi\) | |||||||
\(788\) | 1.20971 | − | 0.683154i | 0.0430941 | − | 0.0243364i | ||||
\(789\) | −32.7354 | − | 62.0405i | −1.16541 | − | 2.20870i | ||||
\(790\) | −13.0241 | + | 10.6498i | −0.463377 | + | 0.378901i | ||||
\(791\) | −3.01232 | + | 6.59607i | −0.107106 | + | 0.234529i | ||||
\(792\) | 29.8779 | + | 19.9401i | 1.06167 | + | 0.708541i | ||||
\(793\) | 3.52575 | + | 7.72031i | 0.125203 | + | 0.274156i | ||||
\(794\) | −47.1562 | − | 23.1851i | −1.67351 | − | 0.822810i | ||||
\(795\) | −4.70861 | − | 4.84505i | −0.166997 | − | 0.171836i | ||||
\(796\) | −2.61436 | − | 0.149495i | −0.0926637 | − | 0.00529870i | ||||
\(797\) | 13.0636 | − | 49.6989i | 0.462735 | − | 1.76043i | −0.169380 | − | 0.985551i | \(-0.554176\pi\) |
0.632114 | − | 0.774875i | \(-0.282187\pi\) | |||||||
\(798\) | 0.372100 | + | 13.0252i | 0.0131722 | + | 0.461087i | ||||
\(799\) | 0.829986 | − | 1.57300i | 0.0293628 | − | 0.0556487i | ||||
\(800\) | −0.197218 | − | 0.973310i | −0.00697271 | − | 0.0344117i | ||||
\(801\) | −10.1818 | − | 38.7355i | −0.359756 | − | 1.36865i | ||||
\(802\) | −11.6928 | + | 3.43332i | −0.412887 | + | 0.121235i | ||||
\(803\) | 21.1628 | + | 41.8464i | 0.746818 | + | 1.47673i | ||||
\(804\) | −0.636608 | − | 0.186925i | −0.0224514 | − | 0.00659234i | ||||
\(805\) | −0.0923127 | + | 3.23137i | −0.00325359 | + | 0.113891i | ||||
\(806\) | −41.9362 | − | 23.6824i | −1.47714 | − | 0.834178i | ||||
\(807\) | 19.0229 | + | 13.8209i | 0.669637 | + | 0.486520i | ||||
\(808\) | −30.0143 | − | 12.6841i | −1.05590 | − | 0.446226i | ||||
\(809\) | −39.2756 | + | 6.79690i | −1.38086 | + | 0.238966i | −0.812089 | − | 0.583533i | \(-0.801670\pi\) |
−0.568766 | + | 0.822500i | \(0.692579\pi\) | |||||||
\(810\) | −0.615108 | − | 7.16158i | −0.0216127 | − | 0.251632i | ||||
\(811\) | 3.29124 | − | 38.3192i | 0.115571 | − | 1.34557i | −0.677087 | − | 0.735903i | \(-0.736758\pi\) |
0.792658 | − | 0.609666i | \(-0.208697\pi\) | |||||||
\(812\) | −0.285119 | − | 0.0493418i | −0.0100057 | − | 0.00173156i | ||||
\(813\) | 39.8122 | + | 25.5858i | 1.39628 | + | 0.897332i | ||||
\(814\) | −35.7799 | − | 15.8558i | −1.25408 | − | 0.555744i | ||||
\(815\) | −5.53554 | + | 3.55747i | −0.193901 | + | 0.124613i | ||||
\(816\) | 30.1192 | − | 12.7285i | 1.05438 | − | 0.445586i | ||||
\(817\) | −51.8670 | − | 12.0611i | −1.81460 | − | 0.421966i | ||||
\(818\) | −6.77265 | − | 17.3954i | −0.236800 | − | 0.608216i | ||||
\(819\) | −9.26562 | + | 15.3653i | −0.323767 | + | 0.536907i | ||||
\(820\) | 0.322159 | + | 0.991504i | 0.0112503 | + | 0.0346248i | ||||
\(821\) | 26.6720 | + | 34.5889i | 0.930861 | + | 1.20716i | 0.978070 | + | 0.208277i | \(0.0667855\pi\) |
−0.0472091 | + | 0.998885i | \(0.515033\pi\) | |||||||
\(822\) | 30.5663 | − | 78.5090i | 1.06612 | − | 2.73832i | ||||
\(823\) | 26.8461 | − | 39.2611i | 0.935795 | − | 1.36856i | 0.00619685 | − | 0.999981i | \(-0.498027\pi\) |
0.929598 | − | 0.368575i | \(-0.120154\pi\) | |||||||
\(824\) | 4.85114 | + | 33.7404i | 0.168997 | + | 1.17540i | ||||
\(825\) | −8.22724 | − | 3.09695i | −0.286436 | − | 0.107822i | ||||
\(826\) | −1.47217 | + | 10.2392i | −0.0512234 | + | 0.356267i | ||||
\(827\) | 40.1856 | + | 36.8820i | 1.39739 | + | 1.28251i | 0.913178 | + | 0.407561i | \(0.133621\pi\) |
0.484211 | + | 0.874951i | \(0.339107\pi\) | |||||||
\(828\) | −2.96807 | + | 0.169720i | −0.103148 | + | 0.00589819i | ||||
\(829\) | 0.949560 | − | 4.68626i | 0.0329796 | − | 0.162761i | −0.960208 | − | 0.279285i | \(-0.909903\pi\) |
0.993188 | + | 0.116524i | \(0.0371753\pi\) | |||||||
\(830\) | −13.4589 | − | 11.0053i | −0.467164 | − | 0.381998i | ||||
\(831\) | 45.3067 | − | 22.2758i | 1.57167 | − | 0.772739i | ||||
\(832\) | −39.1024 | − | 13.9517i | −1.35563 | − | 0.483688i | ||||
\(833\) | −11.1683 | + | 14.4833i | −0.386959 | + | 0.501817i | ||||
\(834\) | 3.88690 | + | 6.44570i | 0.134592 | + | 0.223196i | ||||
\(835\) | −1.86720 | + | 2.15486i | −0.0646171 | + | 0.0745721i | ||||
\(836\) | 0.821785 | − | 2.38781i | 0.0284220 | − | 0.0825843i | ||||
\(837\) | 10.0449 | + | 11.5924i | 0.347201 | + | 0.400692i | ||||
\(838\) | −7.94953 | + | 24.4661i | −0.274612 | + | 0.845168i | ||||
\(839\) | 34.1716 | − | 12.1924i | 1.17973 | − | 0.420928i | 0.327886 | − | 0.944717i | \(-0.393664\pi\) |
0.851848 | + | 0.523789i | \(0.175482\pi\) | |||||||
\(840\) | −3.83000 | + | 3.94097i | −0.132147 | + | 0.135976i | ||||
\(841\) | 18.0139 | − | 16.5330i | 0.621169 | − | 0.570104i | ||||
\(842\) | −3.34552 | − | 4.89267i | −0.115294 | − | 0.168612i | ||||
\(843\) | 10.0906 | − | 2.34647i | 0.347539 | − | 0.0808168i | ||||
\(844\) | 3.34588 | − | 2.43092i | 0.115170 | − | 0.0836757i | ||||
\(845\) | 20.3269 | − | 2.33230i | 0.699267 | − | 0.0802334i | ||||
\(846\) | −3.69916 | −0.127180 | ||||||||
\(847\) | −7.68908 | − | 3.56780i | −0.264200 | − | 0.122591i | ||||
\(848\) | 11.0144 | 0.378236 | ||||||||
\(849\) | −18.5912 | + | 2.13314i | −0.638048 | + | 0.0732092i | ||||
\(850\) | −3.40713 | + | 2.47543i | −0.116864 | + | 0.0849064i | ||||
\(851\) | −32.6848 | + | 7.60052i | −1.12042 | + | 0.260543i | ||||
\(852\) | −0.910097 | − | 1.33097i | −0.0311794 | − | 0.0455984i | ||||
\(853\) | 14.5972 | − | 13.3972i | 0.499799 | − | 0.458711i | −0.386189 | − | 0.922420i | \(-0.626209\pi\) |
0.885988 | + | 0.463709i | \(0.153482\pi\) | |||||||
\(854\) | −1.16240 | + | 1.19608i | −0.0397766 | + | 0.0409291i | ||||
\(855\) | −16.3965 | + | 5.85025i | −0.560747 | + | 0.200074i | ||||
\(856\) | −14.3114 | + | 44.0459i | −0.489153 | + | 1.50546i | ||||
\(857\) | −20.6368 | − | 23.8161i | −0.704939 | − | 0.813543i | 0.284472 | − | 0.958684i | \(-0.408182\pi\) |
−0.989411 | + | 0.145142i | \(0.953636\pi\) | |||||||
\(858\) | 58.8825 | − | 46.4716i | 2.01022 | − | 1.58651i | ||||
\(859\) | −29.1537 | + | 33.6452i | −0.994712 | + | 1.14796i | −0.00572068 | + | 0.999984i | \(0.501821\pi\) |
−0.988991 | + | 0.147975i | \(0.952724\pi\) | |||||||
\(860\) | 1.11939 | + | 1.85631i | 0.0381710 | + | 0.0632996i | ||||
\(861\) | 7.38575 | − | 9.57801i | 0.251706 | − | 0.326418i | ||||
\(862\) | 49.6067 | + | 17.6996i | 1.68961 | + | 0.602852i | ||||
\(863\) | 45.2471 | − | 22.2465i | 1.54023 | − | 0.757280i | 0.543603 | − | 0.839343i | \(-0.317060\pi\) |
0.996627 | + | 0.0820625i | \(0.0261507\pi\) | |||||||
\(864\) | −2.08933 | − | 1.70843i | −0.0710804 | − | 0.0581221i | ||||
\(865\) | 4.78613 | − | 23.6205i | 0.162733 | − | 0.803121i | ||||
\(866\) | 18.3440 | − | 1.04895i | 0.623354 | − | 0.0356447i | ||||
\(867\) | 17.2806 | + | 15.8600i | 0.586880 | + | 0.538634i | ||||
\(868\) | 0.108972 | − | 0.757915i | 0.00369874 | − | 0.0257253i | ||||
\(869\) | −30.2126 | − | 22.7596i | −1.02489 | − | 0.772067i | ||||
\(870\) | −1.18683 | − | 8.25455i | −0.0402371 | − | 0.279855i | ||||
\(871\) | 4.64237 | − | 6.78926i | 0.157301 | − | 0.230045i | ||||
\(872\) | 9.42140 | − | 24.1987i | 0.319049 | − | 0.819471i | ||||
\(873\) | 12.1339 | + | 15.7355i | 0.410670 | + | 0.532567i | ||||
\(874\) | −8.27039 | − | 25.4536i | −0.279750 | − | 0.860982i | ||||
\(875\) | 0.397931 | − | 0.659895i | 0.0134525 | − | 0.0223085i | ||||
\(876\) | −2.39368 | − | 6.14812i | −0.0808750 | − | 0.207726i | ||||
\(877\) | 15.9860 | + | 3.71738i | 0.539809 | + | 0.125527i | 0.487531 | − | 0.873105i | \(-0.337897\pi\) |
0.0522774 | + | 0.998633i | \(0.483352\pi\) | |||||||
\(878\) | 11.1400 | − | 4.70782i | 0.375958 | − | 0.158881i | ||||
\(879\) | −28.5161 | + | 18.3262i | −0.961825 | + | 0.618128i | ||||
\(880\) | 12.9685 | − | 6.09991i | 0.437169 | − | 0.205628i | ||||
\(881\) | 34.4375 | + | 22.1316i | 1.16023 | + | 0.745634i | 0.971650 | − | 0.236424i | \(-0.0759755\pi\) |
0.188579 | + | 0.982058i | \(0.439612\pi\) | |||||||
\(882\) | 37.4825 | + | 6.48660i | 1.26210 | + | 0.218415i | ||||
\(883\) | 3.84350 | − | 44.7490i | 0.129344 | − | 1.50592i | −0.587804 | − | 0.809004i | \(-0.700007\pi\) |
0.717148 | − | 0.696921i | \(-0.245447\pi\) | |||||||
\(884\) | −0.248800 | − | 2.89672i | −0.00836804 | − | 0.0974274i | ||||
\(885\) | −23.7670 | + | 4.11305i | −0.798921 | + | 0.138259i | ||||
\(886\) | 6.32015 | + | 2.67092i | 0.212330 | + | 0.0897313i | ||||
\(887\) | 12.1793 | + | 8.84880i | 0.408942 | + | 0.297114i | 0.773173 | − | 0.634195i | \(-0.218668\pi\) |
−0.364231 | + | 0.931308i | \(0.618668\pi\) | |||||||
\(888\) | −49.6723 | − | 28.0512i | −1.66689 | − | 0.941337i | ||||
\(889\) | −0.229777 | + | 8.04325i | −0.00770648 | + | 0.269762i | ||||
\(890\) | −14.0829 | − | 4.13511i | −0.472060 | − | 0.138609i | ||||
\(891\) | 15.3128 | − | 5.16672i | 0.512997 | − | 0.173092i | ||||
\(892\) | −0.0595901 | + | 0.0174972i | −0.00199522 | + | 0.000585851i | ||||
\(893\) | −0.684925 | − | 2.60573i | −0.0229202 | − | 0.0871973i | ||||
\(894\) | 10.2913 | + | 50.7895i | 0.344192 | + | 1.69866i | ||||
\(895\) | −10.1266 | + | 19.1920i | −0.338494 | + | 0.641517i | ||||
\(896\) | −0.276685 | − | 9.68522i | −0.00924338 | − | 0.323561i | ||||
\(897\) | 16.3510 | − | 62.2057i | 0.545944 | − | 2.07699i | ||||
\(898\) | 54.1660 | + | 3.09732i | 1.80754 | + | 0.103359i | ||||
\(899\) | −8.38996 | − | 8.63307i | −0.279821 | − | 0.287929i | ||||
\(900\) | 0.635959 | + | 0.312680i | 0.0211986 | + | 0.0104227i | ||||
\(901\) | −3.02304 | − | 6.61954i | −0.100712 | − | 0.220529i | ||||
\(902\) | −24.6401 | + | 15.2394i | −0.820425 | + | 0.507416i | ||||
\(903\) | 10.4471 | − | 22.8760i | 0.347659 | − | 0.761266i | ||||
\(904\) | 19.6003 | − | 16.0271i | 0.651897 | − | 0.533053i | ||||
\(905\) | −6.28132 | − | 11.9044i | −0.208798 | − | 0.395717i | ||||
\(906\) | −28.3005 | + | 15.9820i | −0.940220 | + | 0.530967i | ||||
\(907\) | 38.2692 | + | 4.39098i | 1.27071 | + | 0.145800i | 0.722987 | − | 0.690861i | \(-0.242768\pi\) |
0.547720 | + | 0.836661i | \(0.315496\pi\) | |||||||
\(908\) | 3.18193 | + | 0.365093i | 0.105596 | + | 0.0121160i | ||||
\(909\) | 42.4479 | − | 23.9714i | 1.40791 | − | 0.795081i | ||||
\(910\) | 3.06853 | + | 5.81552i | 0.101721 | + | 0.192783i | ||||
\(911\) | −31.0859 | + | 25.4188i | −1.02992 | + | 0.842163i | −0.987608 | − | 0.156942i | \(-0.949837\pi\) |
−0.0423137 | + | 0.999104i | \(0.513473\pi\) | |||||||
\(912\) | 20.5769 | − | 45.0572i | 0.681370 | − | 1.49199i | ||||
\(913\) | 16.8507 | − | 35.2699i | 0.557676 | − | 1.16726i | ||||
\(914\) | 4.45382 | + | 9.75251i | 0.147319 | + | 0.322584i | ||||
\(915\) | −3.48998 | − | 1.71591i | −0.115375 | − | 0.0567261i | ||||
\(916\) | 1.78378 | + | 1.83547i | 0.0589379 | + | 0.0606457i | ||||
\(917\) | −1.47055 | − | 0.0840889i | −0.0485617 | − | 0.00277686i | ||||
\(918\) | −2.90961 | + | 11.0693i | −0.0960316 | + | 0.365342i | ||||
\(919\) | 0.543989 | + | 19.0421i | 0.0179445 | + | 0.628141i | 0.957942 | + | 0.286961i | \(0.0926449\pi\) |
−0.939998 | + | 0.341180i | \(0.889173\pi\) | |||||||
\(920\) | 5.26737 | − | 9.98277i | 0.173660 | − | 0.329122i | ||||
\(921\) | −5.29712 | − | 26.1423i | −0.174546 | − | 0.861419i | ||||
\(922\) | −8.86964 | − | 33.7436i | −0.292106 | − | 1.11129i | ||||
\(923\) | 19.1778 | − | 5.63111i | 0.631245 | − | 0.185350i | ||||
\(924\) | 1.02815 | + | 0.604320i | 0.0338237 | + | 0.0198807i | ||||
\(925\) | 7.67510 | + | 2.25361i | 0.252356 | + | 0.0740983i | ||||
\(926\) | 1.65645 | − | 57.9832i | 0.0544342 | − | 1.90545i | ||||
\(927\) | −44.4058 | − | 25.0771i | −1.45848 | − | 0.823640i | ||||
\(928\) | 1.71362 | + | 1.24502i | 0.0562524 | + | 0.0408697i | ||||
\(929\) | −2.57362 | − | 1.08762i | −0.0844376 | − | 0.0356836i | 0.346642 | − | 0.937997i | \(-0.387322\pi\) |
−0.431080 | + | 0.902314i | \(0.641867\pi\) | |||||||
\(930\) | 21.7449 | − | 3.76311i | 0.713044 | − | 0.123397i | ||||
\(931\) | 2.37092 | + | 27.6041i | 0.0777036 | + | 0.904687i | ||||
\(932\) | 0.0357873 | − | 0.416664i | 0.00117225 | − | 0.0136483i | ||||
\(933\) | −70.1561 | − | 12.1410i | −2.29681 | − | 0.397478i | ||||
\(934\) | −4.44139 | − | 2.85431i | −0.145327 | − | 0.0933958i | ||||
\(935\) | −7.22536 | − | 6.11976i | −0.236295 | − | 0.200138i | ||||
\(936\) | 52.7036 | − | 33.8706i | 1.72267 | − | 1.10709i | ||||
\(937\) | 25.0374 | − | 10.5809i | 0.817935 | − | 0.345662i | 0.0601686 | − | 0.998188i | \(-0.480836\pi\) |
0.757766 | + | 0.652526i | \(0.226291\pi\) | |||||||
\(938\) | 1.57427 | + | 0.366080i | 0.0514016 | + | 0.0119529i | ||||
\(939\) | −25.4552 | − | 65.3811i | −0.830699 | − | 2.13363i | ||||
\(940\) | −0.0566361 | + | 0.0939203i | −0.00184726 | + | 0.00306334i | ||||
\(941\) | −1.71474 | − | 5.27744i | −0.0558991 | − | 0.172040i | 0.919209 | − | 0.393770i | \(-0.128829\pi\) |
−0.975108 | + | 0.221731i | \(0.928829\pi\) | |||||||
\(942\) | 7.61846 | + | 9.87979i | 0.248223 | + | 0.321901i | ||||
\(943\) | −9.01285 | + | 23.1493i | −0.293499 | + | 0.753845i | ||||
\(944\) | 22.1955 | − | 32.4599i | 0.722402 | − | 1.05648i | ||||
\(945\) | −0.298038 | − | 2.07290i | −0.00969518 | − | 0.0674314i | ||||
\(946\) | −42.7250 | + | 42.4675i | −1.38911 | + | 1.38074i | ||||
\(947\) | 2.61747 | − | 18.2049i | 0.0850564 | − | 0.591580i | −0.902064 | − | 0.431602i | \(-0.857949\pi\) |
0.987121 | − | 0.159978i | \(-0.0511424\pi\) | |||||||
\(948\) | 3.92088 | + | 3.59855i | 0.127344 | + | 0.116875i | ||||
\(949\) | 81.6527 | − | 4.66907i | 2.65056 | − | 0.151564i | ||||
\(950\) | −1.26696 | + | 6.25269i | −0.0411056 | + | 0.202864i | ||||
\(951\) | 5.89376 | + | 4.81930i | 0.191118 | + | 0.156277i | ||||
\(952\) | −5.31193 | + | 2.61170i | −0.172161 | + | 0.0846458i | ||||
\(953\) | −40.9626 | − | 14.6154i | −1.32691 | − | 0.473440i | −0.424933 | − | 0.905225i | \(-0.639702\pi\) |
−0.901977 | + | 0.431785i | \(0.857884\pi\) | |||||||
\(954\) | −9.24257 | + | 11.9860i | −0.299239 | + | 0.388060i | ||||
\(955\) | −6.82798 | − | 11.3229i | −0.220948 | − | 0.366402i | ||||
\(956\) | 0.334484 | − | 0.386015i | 0.0108180 | − | 0.0124846i | ||||
\(957\) | 17.3946 | − | 6.99887i | 0.562289 | − | 0.226241i | ||||
\(958\) | 2.39624 | + | 2.76540i | 0.0774188 | + | 0.0893461i | ||||
\(959\) | −5.13104 | + | 15.7917i | −0.165690 | + | 0.509941i | ||||
\(960\) | 17.9173 | − | 6.39287i | 0.578277 | − | 0.206329i | ||||
\(961\) | 0.596790 | − | 0.614082i | 0.0192513 | − | 0.0198091i | ||||
\(962\) | −50.2871 | + | 46.1531i | −1.62132 | + | 1.48803i | ||||
\(963\) | −39.1087 | − | 57.1947i | −1.26026 | − | 1.84307i | ||||
\(964\) | 0.250951 | − | 0.0583561i | 0.00808257 | − | 0.00187952i | ||||
\(965\) | −2.03913 | + | 1.48151i | −0.0656419 | + | 0.0476916i | ||||
\(966\) | 12.5572 | − | 1.44080i | 0.404020 | − | 0.0463569i | ||||
\(967\) | −42.4035 | −1.36361 | −0.681803 | − | 0.731536i | \(-0.738804\pi\) | ||||
−0.681803 | + | 0.731536i | \(0.738804\pi\) | |||||||
\(968\) | 18.5961 | + | 23.0247i | 0.597702 | + | 0.740040i | ||||
\(969\) | −32.7265 | −1.05133 | ||||||||
\(970\) | 7.23440 | − | 0.830070i | 0.232283 | − | 0.0266520i | ||||
\(971\) | −10.8893 | + | 7.91152i | −0.349454 | + | 0.253893i | −0.748640 | − | 0.662977i | \(-0.769293\pi\) |
0.399186 | + | 0.916870i | \(0.369293\pi\) | |||||||
\(972\) | −3.61273 | + | 0.840104i | −0.115878 | + | 0.0269464i | ||||
\(973\) | −0.837328 | − | 1.22455i | −0.0268435 | − | 0.0392574i | ||||
\(974\) | −27.4336 | + | 25.1784i | −0.879030 | + | 0.806766i | ||||
\(975\) | −10.6854 | + | 10.9950i | −0.342208 | + | 0.352123i | ||||
\(976\) | 5.97143 | − | 2.13060i | 0.191141 | − | 0.0681989i | ||||
\(977\) | −5.16406 | + | 15.8933i | −0.165213 | + | 0.508473i | −0.999052 | − | 0.0435348i | \(-0.986138\pi\) |
0.833839 | + | 0.552008i | \(0.186138\pi\) | |||||||
\(978\) | 16.8481 | + | 19.4437i | 0.538741 | + | 0.621741i | ||||
\(979\) | 1.51290 | − | 32.9652i | 0.0483524 | − | 1.05357i | ||||
\(980\) | 0.738568 | − | 0.852353i | 0.0235927 | − | 0.0272274i | ||||
\(981\) | 20.0622 | + | 33.2694i | 0.640536 | + | 1.06221i | ||||
\(982\) | 14.2592 | − | 18.4917i | 0.455030 | − | 0.590093i | ||||
\(983\) | 11.6695 | + | 4.16368i | 0.372200 | + | 0.132801i | 0.515524 | − | 0.856875i | \(-0.327597\pi\) |
−0.143324 | + | 0.989676i | \(0.545779\pi\) | |||||||
\(984\) | −37.8976 | + | 18.6330i | −1.20813 | + | 0.593999i | ||||
\(985\) | −6.10897 | − | 4.99528i | −0.194648 | − | 0.159163i | ||||
\(986\) | 1.78385 | − | 8.80364i | 0.0568093 | − | 0.280365i | ||||
\(987\) | 1.27033 | − | 0.0726399i | 0.0404349 | − | 0.00231215i | ||||
\(988\) | −3.24482 | − | 2.97807i | −0.103232 | − | 0.0947451i | ||||
\(989\) | −7.35101 | + | 51.1274i | −0.233748 | + | 1.62576i | ||||
\(990\) | −4.24438 | + | 19.2311i | −0.134895 | + | 0.611206i | ||||
\(991\) | 6.36496 | + | 44.2693i | 0.202190 | + | 1.40626i | 0.797769 | + | 0.602963i | \(0.206013\pi\) |
−0.595579 | + | 0.803296i | \(0.703077\pi\) | |||||||
\(992\) | −3.16378 | + | 4.62688i | −0.100450 | + | 0.146904i | ||||
\(993\) | 18.4310 | − | 47.3397i | 0.584890 | − | 1.50228i | ||||
\(994\) | 2.39851 | + | 3.11044i | 0.0760761 | + | 0.0986573i | ||||
\(995\) | 4.59638 | + | 14.1462i | 0.145715 | + | 0.448464i | ||||
\(996\) | −2.83996 | + | 4.70955i | −0.0899876 | + | 0.149228i | ||||
\(997\) | 9.27463 | + | 23.8217i | 0.293731 | + | 0.754441i | 0.998966 | + | 0.0454674i | \(0.0144777\pi\) |
−0.705235 | + | 0.708973i | \(0.749159\pi\) | |||||||
\(998\) | −7.29782 | − | 1.69704i | −0.231009 | − | 0.0537187i | ||||
\(999\) | 20.0243 | − | 8.46234i | 0.633541 | − | 0.267737i |
(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 | 605.2.s.b.416.16 | yes | 880 | |
121.16 | even | 55 | inner | 605.2.s.b.16.16 | ✓ | 880 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.s.b.16.16 | ✓ | 880 | 121.16 | even | 55 | inner | |
605.2.s.b.416.16 | yes | 880 | 1.1 | even | 1 | trivial |