Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(13,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.x (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 85.3 | ||
Character | \(\chi\) | \(=\) | 144.85 |
Dual form | 144.2.x.e.61.3 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.35510 | − | 0.404605i | −0.958200 | − | 0.286099i | ||||
\(3\) | 1.51206 | + | 0.844796i | 0.872987 | + | 0.487743i | ||||
\(4\) | 1.67259 | + | 1.09656i | 0.836295 | + | 0.548280i | ||||
\(5\) | 3.32531 | − | 0.891015i | 1.48712 | − | 0.398474i | 0.578360 | − | 0.815782i | \(-0.303693\pi\) |
0.908765 | + | 0.417308i | \(0.137026\pi\) | |||||||
\(6\) | −1.70718 | − | 1.75657i | −0.696953 | − | 0.717117i | ||||
\(7\) | −3.95817 | + | 2.28525i | −1.49605 | + | 0.863743i | −0.999990 | − | 0.00454705i | \(-0.998553\pi\) |
−0.496057 | + | 0.868290i | \(0.665219\pi\) | |||||||
\(8\) | −1.82285 | − | 2.16269i | −0.644475 | − | 0.764625i | ||||
\(9\) | 1.57264 | + | 2.55476i | 0.524213 | + | 0.851587i | ||||
\(10\) | −4.86664 | − | 0.138025i | −1.53897 | − | 0.0436474i | ||||
\(11\) | 0.568165 | − | 2.12042i | 0.171308 | − | 0.639331i | −0.825843 | − | 0.563900i | \(-0.809300\pi\) |
0.997151 | − | 0.0754306i | \(-0.0240331\pi\) | |||||||
\(12\) | 1.60268 | + | 3.07106i | 0.462654 | + | 0.886539i | ||||
\(13\) | 0.0174070 | + | 0.0649637i | 0.00482783 | + | 0.0180177i | 0.968298 | − | 0.249799i | \(-0.0803645\pi\) |
−0.963470 | + | 0.267817i | \(0.913698\pi\) | |||||||
\(14\) | 6.28833 | − | 1.49524i | 1.68063 | − | 0.399621i | ||||
\(15\) | 5.78079 | + | 1.46195i | 1.49259 | + | 0.377473i | ||||
\(16\) | 1.59511 | + | 3.66819i | 0.398777 | + | 0.917048i | ||||
\(17\) | −0.00952807 | −0.00231090 | −0.00115545 | − | 0.999999i | \(-0.500368\pi\) | ||||
−0.00115545 | + | 0.999999i | \(0.500368\pi\) | |||||||
\(18\) | −1.09741 | − | 4.09825i | −0.258662 | − | 0.965968i | ||||
\(19\) | 2.79059 | − | 2.79059i | 0.640205 | − | 0.640205i | −0.310401 | − | 0.950606i | \(-0.600463\pi\) |
0.950606 | + | 0.310401i | \(0.100463\pi\) | |||||||
\(20\) | 6.53893 | + | 2.15611i | 1.46215 | + | 0.482120i | ||||
\(21\) | −7.91555 | + | 0.111584i | −1.72731 | + | 0.0243497i | ||||
\(22\) | −1.62785 | + | 2.64350i | −0.347060 | + | 0.563596i | ||||
\(23\) | −4.81949 | − | 2.78254i | −1.00493 | − | 0.580199i | −0.0952296 | − | 0.995455i | \(-0.530359\pi\) |
−0.909704 | + | 0.415256i | \(0.863692\pi\) | |||||||
\(24\) | −0.929225 | − | 4.81005i | −0.189677 | − | 0.981846i | ||||
\(25\) | 5.93367 | − | 3.42580i | 1.18673 | − | 0.685161i | ||||
\(26\) | 0.00269648 | − | 0.0950753i | 0.000528823 | − | 0.0186458i | ||||
\(27\) | 0.219668 | + | 5.19151i | 0.0422752 | + | 0.999106i | ||||
\(28\) | −9.12630 | − | 0.518089i | −1.72471 | − | 0.0979096i | ||||
\(29\) | −1.28304 | − | 0.343789i | −0.238254 | − | 0.0638400i | 0.137716 | − | 0.990472i | \(-0.456024\pi\) |
−0.375970 | + | 0.926632i | \(0.622691\pi\) | |||||||
\(30\) | −7.24204 | − | 4.32002i | −1.32221 | − | 0.788724i | ||||
\(31\) | −1.30392 | + | 2.25846i | −0.234191 | + | 0.405631i | −0.959037 | − | 0.283280i | \(-0.908578\pi\) |
0.724846 | + | 0.688911i | \(0.241911\pi\) | |||||||
\(32\) | −0.677361 | − | 5.61615i | −0.119742 | − | 0.992805i | ||||
\(33\) | 2.65042 | − | 2.72622i | 0.461379 | − | 0.474573i | ||||
\(34\) | 0.0129115 | + | 0.00385511i | 0.00221430 | + | 0.000661146i | ||||
\(35\) | −11.1260 | + | 11.1260i | −1.88063 | + | 1.88063i | ||||
\(36\) | −0.171073 | + | 5.99756i | −0.0285121 | + | 0.999593i | ||||
\(37\) | −3.32550 | − | 3.32550i | −0.546708 | − | 0.546708i | 0.378779 | − | 0.925487i | \(-0.376344\pi\) |
−0.925487 | + | 0.378779i | \(0.876344\pi\) | |||||||
\(38\) | −4.91061 | + | 2.65244i | −0.796607 | + | 0.430282i | ||||
\(39\) | −0.0285607 | + | 0.112934i | −0.00457338 | + | 0.0180840i | ||||
\(40\) | −7.98853 | − | 5.56742i | −1.26310 | − | 0.880287i | ||||
\(41\) | −4.34209 | − | 2.50691i | −0.678121 | − | 0.391513i | 0.121026 | − | 0.992649i | \(-0.461382\pi\) |
−0.799147 | + | 0.601136i | \(0.794715\pi\) | |||||||
\(42\) | 10.7715 | + | 3.05146i | 1.66208 | + | 0.470851i | ||||
\(43\) | −0.718661 | + | 2.68208i | −0.109595 | + | 0.409013i | −0.998826 | − | 0.0484450i | \(-0.984573\pi\) |
0.889231 | + | 0.457458i | \(0.151240\pi\) | |||||||
\(44\) | 3.27548 | − | 2.92357i | 0.493797 | − | 0.440744i | ||||
\(45\) | 7.50585 | + | 7.09414i | 1.11891 | + | 1.05753i | ||||
\(46\) | 5.40507 | + | 5.72061i | 0.796933 | + | 0.843457i | ||||
\(47\) | −2.77988 | − | 4.81489i | −0.405487 | − | 0.702324i | 0.588891 | − | 0.808212i | \(-0.299565\pi\) |
−0.994378 | + | 0.105889i | \(0.966231\pi\) | |||||||
\(48\) | −0.686977 | + | 6.89406i | −0.0991566 | + | 0.995072i | ||||
\(49\) | 6.94473 | − | 12.0286i | 0.992104 | − | 1.71837i | ||||
\(50\) | −9.42681 | + | 2.24151i | −1.33315 | + | 0.316998i | ||||
\(51\) | −0.0144070 | − | 0.00804928i | −0.00201738 | − | 0.00112712i | ||||
\(52\) | −0.0421220 | + | 0.127745i | −0.00584126 | + | 0.0177151i | ||||
\(53\) | 1.80067 | + | 1.80067i | 0.247341 | + | 0.247341i | 0.819879 | − | 0.572537i | \(-0.194041\pi\) |
−0.572537 | + | 0.819879i | \(0.694041\pi\) | |||||||
\(54\) | 1.80284 | − | 7.12389i | 0.245335 | − | 0.969438i | ||||
\(55\) | − | 7.55731i | − | 1.01903i | ||||||
\(56\) | 12.1574 | + | 4.39461i | 1.62460 | + | 0.587255i | ||||
\(57\) | 6.57701 | − | 1.86205i | 0.871147 | − | 0.246635i | ||||
\(58\) | 1.59955 | + | 0.984992i | 0.210031 | + | 0.129336i | ||||
\(59\) | 0.221086 | − | 0.0592399i | 0.0287830 | − | 0.00771238i | −0.244399 | − | 0.969675i | \(-0.578591\pi\) |
0.273182 | + | 0.961962i | \(0.411924\pi\) | |||||||
\(60\) | 8.06578 | + | 8.78422i | 1.04129 | + | 1.13404i | ||||
\(61\) | −10.8847 | − | 2.91654i | −1.39364 | − | 0.373425i | −0.517584 | − | 0.855632i | \(-0.673169\pi\) |
−0.876057 | + | 0.482207i | \(0.839835\pi\) | |||||||
\(62\) | 2.68073 | − | 2.53286i | 0.340453 | − | 0.321674i | ||||
\(63\) | −12.0630 | − | 6.51830i | −1.51980 | − | 0.821229i | ||||
\(64\) | −1.35443 | + | 7.88451i | −0.169304 | + | 0.985564i | ||||
\(65\) | 0.115767 | + | 0.200515i | 0.0143592 | + | 0.0248708i | ||||
\(66\) | −4.69463 | + | 2.62192i | −0.577869 | + | 0.322736i | ||||
\(67\) | 1.19332 | + | 4.45355i | 0.145788 | + | 0.544087i | 0.999719 | + | 0.0237016i | \(0.00754517\pi\) |
−0.853931 | + | 0.520386i | \(0.825788\pi\) | |||||||
\(68\) | −0.0159365 | − | 0.0104481i | −0.00193259 | − | 0.00126702i | ||||
\(69\) | −4.93668 | − | 8.27885i | −0.594306 | − | 0.996656i | ||||
\(70\) | 19.5784 | − | 10.5752i | 2.34007 | − | 1.26397i | ||||
\(71\) | − | 7.21697i | − | 0.856497i | −0.903661 | − | 0.428248i | \(-0.859131\pi\) | ||
0.903661 | − | 0.428248i | \(-0.140869\pi\) | |||||||
\(72\) | 2.65847 | − | 8.05807i | 0.313303 | − | 0.949653i | ||||
\(73\) | 6.99151i | 0.818294i | 0.912469 | + | 0.409147i | \(0.134174\pi\) | ||||
−0.912469 | + | 0.409147i | \(0.865826\pi\) | |||||||
\(74\) | 3.16086 | + | 5.85189i | 0.367443 | + | 0.680269i | ||||
\(75\) | 11.8662 | − | 0.167276i | 1.37019 | − | 0.0193153i | ||||
\(76\) | 7.72756 | − | 1.60746i | 0.886412 | − | 0.184388i | ||||
\(77\) | 2.59680 | + | 9.69138i | 0.295933 | + | 1.10444i | ||||
\(78\) | 0.0843965 | − | 0.141481i | 0.00955602 | − | 0.0160196i | ||||
\(79\) | 6.86643 | + | 11.8930i | 0.772534 | + | 1.33807i | 0.936170 | + | 0.351547i | \(0.114344\pi\) |
−0.163636 | + | 0.986521i | \(0.552322\pi\) | |||||||
\(80\) | 8.57265 | + | 10.7766i | 0.958451 | + | 1.20486i | ||||
\(81\) | −4.05361 | + | 8.03543i | −0.450402 | + | 0.892826i | ||||
\(82\) | 4.86966 | + | 5.15395i | 0.537764 | + | 0.569158i | ||||
\(83\) | 11.8706 | + | 3.18073i | 1.30297 | + | 0.349130i | 0.842573 | − | 0.538582i | \(-0.181040\pi\) |
0.460398 | + | 0.887712i | \(0.347707\pi\) | |||||||
\(84\) | −13.3618 | − | 8.49325i | −1.45789 | − | 0.926689i | ||||
\(85\) | −0.0316838 | + | 0.00848965i | −0.00343659 | + | 0.000920832i | ||||
\(86\) | 2.05904 | − | 3.34371i | 0.222032 | − | 0.360562i | ||||
\(87\) | −1.64960 | − | 1.60373i | −0.176855 | − | 0.171938i | ||||
\(88\) | −5.62149 | + | 2.63645i | −0.599253 | + | 0.281046i | ||||
\(89\) | 2.28107i | 0.241793i | 0.992665 | + | 0.120896i | \(0.0385769\pi\) | ||||
−0.992665 | + | 0.120896i | \(0.961423\pi\) | |||||||
\(90\) | −7.30084 | − | 12.6502i | −0.769576 | − | 1.33344i | ||||
\(91\) | −0.217358 | − | 0.217358i | −0.0227853 | − | 0.0227853i | ||||
\(92\) | −5.00981 | − | 9.93891i | −0.522309 | − | 1.03620i | ||||
\(93\) | −3.87954 | + | 2.31337i | −0.402290 | + | 0.239886i | ||||
\(94\) | 1.81888 | + | 7.64941i | 0.187603 | + | 0.788976i | ||||
\(95\) | 6.79313 | − | 11.7660i | 0.696960 | − | 1.20717i | ||||
\(96\) | 3.72030 | − | 9.06418i | 0.379701 | − | 0.925109i | ||||
\(97\) | −4.69078 | − | 8.12466i | −0.476276 | − | 0.824934i | 0.523354 | − | 0.852115i | \(-0.324680\pi\) |
−0.999631 | + | 0.0271807i | \(0.991347\pi\) | |||||||
\(98\) | −14.2776 | + | 13.4901i | −1.44226 | + | 1.36271i | ||||
\(99\) | 6.31069 | − | 1.88313i | 0.634248 | − | 0.189262i | ||||
\(100\) | 13.6812 | + | 0.776664i | 1.36812 | + | 0.0776664i | ||||
\(101\) | −4.65331 | + | 17.3664i | −0.463022 | + | 1.72802i | 0.200343 | + | 0.979726i | \(0.435794\pi\) |
−0.663365 | + | 0.748296i | \(0.730872\pi\) | |||||||
\(102\) | 0.0162661 | + | 0.0167367i | 0.00161059 | + | 0.00165718i | ||||
\(103\) | 5.05311 | + | 2.91741i | 0.497897 | + | 0.287461i | 0.727845 | − | 0.685742i | \(-0.240522\pi\) |
−0.229948 | + | 0.973203i | \(0.573855\pi\) | |||||||
\(104\) | 0.108766 | − | 0.156065i | 0.0106654 | − | 0.0153034i | ||||
\(105\) | −26.2222 | + | 7.42392i | −2.55903 | + | 0.724501i | ||||
\(106\) | −1.71153 | − | 3.16865i | −0.166238 | − | 0.307767i | ||||
\(107\) | −11.3933 | − | 11.3933i | −1.10143 | − | 1.10143i | −0.994238 | − | 0.107195i | \(-0.965813\pi\) |
−0.107195 | − | 0.994238i | \(-0.534187\pi\) | |||||||
\(108\) | −5.32539 | + | 8.92414i | −0.512436 | + | 0.858726i | ||||
\(109\) | 11.9264 | − | 11.9264i | 1.14235 | − | 1.14235i | 0.154326 | − | 0.988020i | \(-0.450679\pi\) |
0.988020 | − | 0.154326i | \(-0.0493206\pi\) | |||||||
\(110\) | −3.05773 | + | 10.2409i | −0.291543 | + | 0.976432i | ||||
\(111\) | −2.21898 | − | 7.83771i | −0.210616 | − | 0.743922i | ||||
\(112\) | −14.6964 | − | 10.8741i | −1.38868 | − | 1.02751i | ||||
\(113\) | −2.85638 | + | 4.94740i | −0.268706 | + | 0.465412i | −0.968528 | − | 0.248905i | \(-0.919929\pi\) |
0.699822 | + | 0.714317i | \(0.253263\pi\) | |||||||
\(114\) | −9.66590 | − | 0.137826i | −0.905295 | − | 0.0129086i | ||||
\(115\) | −18.5056 | − | 4.95856i | −1.72566 | − | 0.462388i | ||||
\(116\) | −1.76901 | − | 1.98195i | −0.164248 | − | 0.184019i | ||||
\(117\) | −0.138592 | + | 0.146635i | −0.0128128 | + | 0.0135564i | ||||
\(118\) | −0.323563 | − | 0.00917674i | −0.0297864 | − | 0.000844788i | ||||
\(119\) | 0.0377137 | − | 0.0217740i | 0.00345721 | − | 0.00199602i | ||||
\(120\) | −7.37579 | − | 15.1670i | −0.673314 | − | 1.38455i | ||||
\(121\) | 5.35291 | + | 3.09050i | 0.486628 | + | 0.280955i | ||||
\(122\) | 13.5698 | + | 8.35621i | 1.22855 | + | 0.756536i | ||||
\(123\) | −4.44767 | − | 7.45878i | −0.401033 | − | 0.672535i | ||||
\(124\) | −4.65747 | + | 2.34765i | −0.418253 | + | 0.210825i | ||||
\(125\) | 4.50737 | − | 4.50737i | 0.403151 | − | 0.403151i | ||||
\(126\) | 13.7093 | + | 13.7137i | 1.22132 | + | 1.22171i | ||||
\(127\) | 9.97753 | 0.885363 | 0.442681 | − | 0.896679i | \(-0.354027\pi\) | ||||
0.442681 | + | 0.896679i | \(0.354027\pi\) | |||||||
\(128\) | 5.02551 | − | 10.1363i | 0.444196 | − | 0.895930i | ||||
\(129\) | −3.35247 | + | 3.44834i | −0.295168 | + | 0.303609i | ||||
\(130\) | −0.0757468 | − | 0.318558i | −0.00664344 | − | 0.0279393i | ||||
\(131\) | −0.00265571 | − | 0.00991124i | −0.000232030 | − | 0.000865949i | 0.965810 | − | 0.259252i | \(-0.0834760\pi\) |
−0.966042 | + | 0.258386i | \(0.916809\pi\) | |||||||
\(132\) | 7.42253 | − | 1.65349i | 0.646048 | − | 0.143918i | ||||
\(133\) | −4.66843 | + | 17.4228i | −0.404804 | + | 1.51075i | ||||
\(134\) | 0.184856 | − | 6.51783i | 0.0159691 | − | 0.563054i | ||||
\(135\) | 5.35618 | + | 17.0677i | 0.460986 | + | 1.46895i | ||||
\(136\) | 0.0173682 | + | 0.0206062i | 0.00148932 | + | 0.00176697i | ||||
\(137\) | 4.04634 | − | 2.33615i | 0.345702 | − | 0.199591i | −0.317089 | − | 0.948396i | \(-0.602705\pi\) |
0.662791 | + | 0.748805i | \(0.269372\pi\) | |||||||
\(138\) | 3.34003 | + | 13.2161i | 0.284322 | + | 1.12503i | ||||
\(139\) | 5.90168 | − | 1.58135i | 0.500574 | − | 0.134128i | 0.000307450 | − | 1.00000i | \(-0.499902\pi\) |
0.500266 | + | 0.865872i | \(0.333235\pi\) | |||||||
\(140\) | −30.8094 | + | 6.40886i | −2.60387 | + | 0.541648i | ||||
\(141\) | −0.135736 | − | 9.62882i | −0.0114311 | − | 0.810893i | ||||
\(142\) | −2.92002 | + | 9.77971i | −0.245043 | + | 0.820695i | ||||
\(143\) | 0.147640 | 0.0123463 | ||||||||
\(144\) | −6.86282 | + | 9.84386i | −0.571902 | + | 0.820322i | ||||
\(145\) | −4.57282 | −0.379752 | ||||||||
\(146\) | 2.82880 | − | 9.47419i | 0.234113 | − | 0.784089i | ||||
\(147\) | 20.6626 | − | 12.3211i | 1.70422 | − | 1.01623i | ||||
\(148\) | −1.91558 | − | 9.20880i | −0.157460 | − | 0.756958i | ||||
\(149\) | 6.74921 | − | 1.80845i | 0.552917 | − | 0.148154i | 0.0284668 | − | 0.999595i | \(-0.490938\pi\) |
0.524450 | + | 0.851441i | \(0.324271\pi\) | |||||||
\(150\) | −16.1475 | − | 4.57443i | −1.31844 | − | 0.373501i | ||||
\(151\) | 11.7804 | − | 6.80144i | 0.958679 | − | 0.553494i | 0.0629127 | − | 0.998019i | \(-0.479961\pi\) |
0.895766 | + | 0.444525i | \(0.146628\pi\) | |||||||
\(152\) | −11.1220 | − | 0.948346i | −0.902113 | − | 0.0769210i | ||||
\(153\) | −0.0149842 | − | 0.0243420i | −0.00121140 | − | 0.00196793i | ||||
\(154\) | 0.402265 | − | 14.1835i | 0.0324154 | − | 1.14294i | ||||
\(155\) | −2.32363 | + | 8.67190i | −0.186638 | + | 0.696544i | ||||
\(156\) | −0.171610 | + | 0.157574i | −0.0137398 | + | 0.0126160i | ||||
\(157\) | 4.50899 | + | 16.8278i | 0.359857 | + | 1.34300i | 0.874261 | + | 0.485456i | \(0.161347\pi\) |
−0.514404 | + | 0.857548i | \(0.671987\pi\) | |||||||
\(158\) | −4.49272 | − | 18.8944i | −0.357422 | − | 1.50316i | ||||
\(159\) | 1.20152 | + | 4.24392i | 0.0952867 | + | 0.336565i | ||||
\(160\) | −7.25651 | − | 18.0719i | −0.573678 | − | 1.42871i | ||||
\(161\) | 25.4352 | 2.00457 | ||||||||
\(162\) | 8.74423 | − | 9.24870i | 0.687012 | − | 0.726646i | ||||
\(163\) | −8.11902 | + | 8.11902i | −0.635930 | + | 0.635930i | −0.949549 | − | 0.313619i | \(-0.898459\pi\) |
0.313619 | + | 0.949549i | \(0.398459\pi\) | |||||||
\(164\) | −4.51356 | − | 8.95440i | −0.352450 | − | 0.699221i | ||||
\(165\) | 6.38438 | − | 11.4271i | 0.497024 | − | 0.889597i | ||||
\(166\) | −14.7989 | − | 9.11312i | −1.14862 | − | 0.707315i | ||||
\(167\) | 9.28313 | + | 5.35962i | 0.718350 | + | 0.414740i | 0.814145 | − | 0.580661i | \(-0.197206\pi\) |
−0.0957949 | + | 0.995401i | \(0.530539\pi\) | |||||||
\(168\) | 14.6702 | + | 16.9155i | 1.13183 | + | 1.30506i | ||||
\(169\) | 11.2544 | − | 6.49774i | 0.865724 | − | 0.499826i | ||||
\(170\) | 0.0463697 | + | 0.00131512i | 0.00355639 | + | 0.000100865i | ||||
\(171\) | 11.5179 | + | 2.74070i | 0.880794 | + | 0.209587i | ||||
\(172\) | −4.14309 | + | 3.69796i | −0.315907 | + | 0.281967i | ||||
\(173\) | −5.77879 | − | 1.54842i | −0.439353 | − | 0.117724i | 0.0323603 | − | 0.999476i | \(-0.489698\pi\) |
−0.471713 | + | 0.881752i | \(0.656364\pi\) | |||||||
\(174\) | 1.58649 | + | 2.84065i | 0.120271 | + | 0.215349i | ||||
\(175\) | −15.6576 | + | 27.1198i | −1.18361 | + | 2.05007i | ||||
\(176\) | 8.68439 | − | 1.29816i | 0.654611 | − | 0.0978528i | ||||
\(177\) | 0.384341 | + | 0.0971988i | 0.0288889 | + | 0.00730591i | ||||
\(178\) | 0.922932 | − | 3.09108i | 0.0691767 | − | 0.231686i | ||||
\(179\) | −1.39609 | + | 1.39609i | −0.104349 | + | 0.104349i | −0.757354 | − | 0.653005i | \(-0.773508\pi\) |
0.653005 | + | 0.757354i | \(0.273508\pi\) | |||||||
\(180\) | 4.77504 | + | 20.0962i | 0.355911 | + | 1.49788i | ||||
\(181\) | 1.82587 | + | 1.82587i | 0.135716 | + | 0.135716i | 0.771701 | − | 0.635985i | \(-0.219406\pi\) |
−0.635985 | + | 0.771701i | \(0.719406\pi\) | |||||||
\(182\) | 0.206598 | + | 0.382486i | 0.0153140 | + | 0.0283517i | ||||
\(183\) | −13.9944 | − | 13.6053i | −1.03450 | − | 1.00573i | ||||
\(184\) | 2.76746 | + | 15.4952i | 0.204020 | + | 1.14232i | ||||
\(185\) | −14.0214 | − | 8.09525i | −1.03087 | − | 0.595174i | ||||
\(186\) | 6.19317 | − | 1.56517i | 0.454105 | − | 0.114764i | ||||
\(187\) | −0.00541352 | + | 0.0202035i | −0.000395876 | + | 0.00147743i | ||||
\(188\) | 0.630226 | − | 11.1016i | 0.0459640 | − | 0.809670i | ||||
\(189\) | −12.7334 | − | 20.0469i | −0.926216 | − | 1.45819i | ||||
\(190\) | −13.9660 | + | 13.1956i | −1.01320 | + | 0.957311i | ||||
\(191\) | 5.22560 | + | 9.05100i | 0.378111 | + | 0.654907i | 0.990787 | − | 0.135426i | \(-0.0432404\pi\) |
−0.612676 | + | 0.790334i | \(0.709907\pi\) | |||||||
\(192\) | −8.70879 | + | 10.7776i | −0.628503 | + | 0.777808i | ||||
\(193\) | −12.0468 | + | 20.8657i | −0.867150 | + | 1.50195i | −0.00225418 | + | 0.999997i | \(0.500718\pi\) |
−0.864896 | + | 0.501951i | \(0.832616\pi\) | |||||||
\(194\) | 3.06919 | + | 12.9076i | 0.220355 | + | 0.926714i | ||||
\(195\) | 0.00565270 | + | 0.400990i | 0.000404798 | + | 0.0287155i | ||||
\(196\) | 24.8058 | − | 12.5036i | 1.77184 | − | 0.893116i | ||||
\(197\) | 11.7435 | + | 11.7435i | 0.836687 | + | 0.836687i | 0.988421 | − | 0.151735i | \(-0.0484859\pi\) |
−0.151735 | + | 0.988421i | \(0.548486\pi\) | |||||||
\(198\) | −9.31353 | − | 0.00150949i | −0.661884 | − | 0.000107275i | ||||
\(199\) | 8.85458i | 0.627684i | 0.949475 | + | 0.313842i | \(0.101616\pi\) | ||||
−0.949475 | + | 0.313842i | \(0.898384\pi\) | |||||||
\(200\) | −18.2251 | − | 6.58794i | −1.28871 | − | 0.465838i | ||||
\(201\) | −1.95796 | + | 7.74214i | −0.138104 | + | 0.546088i | ||||
\(202\) | 13.3322 | − | 21.6504i | 0.938053 | − | 1.52332i | ||||
\(203\) | 5.86412 | − | 1.57129i | 0.411581 | − | 0.110283i | ||||
\(204\) | −0.0152705 | − | 0.0292613i | −0.00106915 | − | 0.00204870i | ||||
\(205\) | −16.6725 | − | 4.46739i | −1.16446 | − | 0.312016i | ||||
\(206\) | −5.66706 | − | 5.99790i | −0.394843 | − | 0.417893i | ||||
\(207\) | −0.470607 | − | 16.6886i | −0.0327094 | − | 1.15994i | ||||
\(208\) | −0.210533 | + | 0.167476i | −0.0145979 | + | 0.0116124i | ||||
\(209\) | −4.33171 | − | 7.50274i | −0.299631 | − | 0.518975i | ||||
\(210\) | 38.5375 | + | 0.549505i | 2.65934 | + | 0.0379195i | ||||
\(211\) | −6.17529 | − | 23.0465i | −0.425125 | − | 1.58659i | −0.763651 | − | 0.645630i | \(-0.776595\pi\) |
0.338526 | − | 0.940957i | \(-0.390072\pi\) | |||||||
\(212\) | 1.03724 | + | 4.98633i | 0.0712378 | + | 0.342463i | ||||
\(213\) | 6.09687 | − | 10.9125i | 0.417750 | − | 0.747710i | ||||
\(214\) | 10.8293 | + | 20.0489i | 0.740274 | + | 1.37051i | ||||
\(215\) | 9.55909i | 0.651924i | ||||||||
\(216\) | 10.8272 | − | 9.93841i | 0.736697 | − | 0.676223i | ||||
\(217\) | − | 11.9191i | − | 0.809125i | ||||||
\(218\) | −20.9870 | + | 11.3360i | −1.42142 | + | 0.767772i | ||||
\(219\) | −5.90640 | + | 10.5716i | −0.399117 | + | 0.714360i | ||||
\(220\) | 8.28704 | − | 12.6403i | 0.558712 | − | 0.852207i | ||||
\(221\) | −0.000165855 | 0 | 0.000618979i | −1.11566e−5 | 0 | 4.16370e-5i | ||||
\(222\) | −0.164245 | + | 11.5187i | −0.0110234 | + | 0.773084i | ||||
\(223\) | −9.55369 | − | 16.5475i | −0.639762 | − | 1.10810i | −0.985485 | − | 0.169764i | \(-0.945699\pi\) |
0.345722 | − | 0.938337i | \(-0.387634\pi\) | |||||||
\(224\) | 15.5154 | + | 20.6817i | 1.03667 | + | 1.38186i | ||||
\(225\) | 18.0836 | + | 9.77155i | 1.20558 | + | 0.651437i | ||||
\(226\) | 5.87242 | − | 5.54851i | 0.390628 | − | 0.369081i | ||||
\(227\) | −0.0783128 | − | 0.0209838i | −0.00519780 | − | 0.00139275i | 0.256219 | − | 0.966619i | \(-0.417523\pi\) |
−0.261417 | + | 0.965226i | \(0.584190\pi\) | |||||||
\(228\) | 13.0425 | + | 4.09764i | 0.863760 | + | 0.271373i | ||||
\(229\) | −3.39514 | + | 0.909725i | −0.224357 | + | 0.0601163i | −0.369246 | − | 0.929332i | \(-0.620384\pi\) |
0.144889 | + | 0.989448i | \(0.453717\pi\) | |||||||
\(230\) | 23.0707 | + | 14.2068i | 1.52124 | + | 0.936769i | ||||
\(231\) | −4.26073 | + | 16.8477i | −0.280336 | + | 1.10850i | ||||
\(232\) | 1.59528 | + | 3.40149i | 0.104735 | + | 0.223318i | ||||
\(233\) | − | 27.7645i | − | 1.81891i | −0.415798 | − | 0.909457i | \(-0.636498\pi\) | ||
0.415798 | − | 0.909457i | \(-0.363502\pi\) | |||||||
\(234\) | 0.247135 | − | 0.142630i | 0.0161557 | − | 0.00932403i | ||||
\(235\) | −13.5341 | − | 13.5341i | −0.882867 | − | 0.882867i | ||||
\(236\) | 0.434747 | + | 0.143351i | 0.0282996 | + | 0.00933133i | ||||
\(237\) | 0.335275 | + | 23.7837i | 0.0217785 | + | 1.54491i | ||||
\(238\) | −0.0599157 | + | 0.0142468i | −0.00388376 | + | 0.000923483i | ||||
\(239\) | −2.56538 | + | 4.44336i | −0.165940 | + | 0.287417i | −0.936989 | − | 0.349359i | \(-0.886399\pi\) |
0.771048 | + | 0.636776i | \(0.219733\pi\) | |||||||
\(240\) | 3.85830 | + | 23.5370i | 0.249052 | + | 1.51931i | ||||
\(241\) | 0.729827 | + | 1.26410i | 0.0470123 | + | 0.0814277i | 0.888574 | − | 0.458733i | \(-0.151697\pi\) |
−0.841562 | + | 0.540161i | \(0.818363\pi\) | |||||||
\(242\) | −6.00329 | − | 6.35375i | −0.385906 | − | 0.408435i | ||||
\(243\) | −12.9176 | + | 8.72557i | −0.828665 | + | 0.559745i | ||||
\(244\) | −15.0074 | − | 16.8139i | −0.960753 | − | 1.07640i | ||||
\(245\) | 12.3757 | − | 46.1868i | 0.790655 | − | 2.95076i | ||||
\(246\) | 3.00918 | + | 11.9069i | 0.191858 | + | 0.759159i | ||||
\(247\) | 0.229863 | + | 0.132711i | 0.0146258 | + | 0.00844422i | ||||
\(248\) | 7.26120 | − | 1.29686i | 0.461087 | − | 0.0823505i | ||||
\(249\) | 15.2620 | + | 14.8377i | 0.967191 | + | 0.940302i | ||||
\(250\) | −7.93164 | + | 4.28423i | −0.501641 | + | 0.270958i | ||||
\(251\) | 0.191647 | + | 0.191647i | 0.0120967 | + | 0.0120967i | 0.713129 | − | 0.701033i | \(-0.247277\pi\) |
−0.701033 | + | 0.713129i | \(0.747277\pi\) | |||||||
\(252\) | −13.0288 | − | 24.1303i | −0.820736 | − | 1.52007i | ||||
\(253\) | −8.63842 | + | 8.63842i | −0.543093 | + | 0.543093i | ||||
\(254\) | −13.5205 | − | 4.03696i | −0.848355 | − | 0.253302i | ||||
\(255\) | −0.0550798 | − | 0.0139295i | −0.00344923 | − | 0.000872300i | ||||
\(256\) | −10.9113 | + | 11.7023i | −0.681954 | + | 0.731396i | ||||
\(257\) | −15.8433 | + | 27.4414i | −0.988278 | + | 1.71175i | −0.361925 | + | 0.932207i | \(0.617880\pi\) |
−0.626353 | + | 0.779540i | \(0.715453\pi\) | |||||||
\(258\) | 5.93814 | − | 3.31641i | 0.369693 | − | 0.206471i | ||||
\(259\) | 20.7625 | + | 5.56328i | 1.29012 | + | 0.345686i | ||||
\(260\) | −0.0262456 | + | 0.462325i | −0.00162768 | + | 0.0286722i | ||||
\(261\) | −1.13946 | − | 3.81851i | −0.0705306 | − | 0.236360i | ||||
\(262\) | −0.000411391 | 0.0145052i | −2.54158e−5 | 0.000896136i | ||||||
\(263\) | 10.2637 | − | 5.92574i | 0.632886 | − | 0.365397i | −0.148983 | − | 0.988840i | \(-0.547600\pi\) |
0.781869 | + | 0.623443i | \(0.214267\pi\) | |||||||
\(264\) | −10.7273 | − | 0.762551i | −0.660218 | − | 0.0469318i | ||||
\(265\) | 7.59222 | + | 4.38337i | 0.466386 | + | 0.269268i | ||||
\(266\) | 13.3755 | − | 21.7208i | 0.820108 | − | 1.33179i | ||||
\(267\) | −1.92704 | + | 3.44911i | −0.117933 | + | 0.211082i | ||||
\(268\) | −2.88764 | + | 8.75751i | −0.176391 | + | 0.534950i | ||||
\(269\) | 4.40442 | − | 4.40442i | 0.268542 | − | 0.268542i | −0.559970 | − | 0.828513i | \(-0.689187\pi\) |
0.828513 | + | 0.559970i | \(0.189187\pi\) | |||||||
\(270\) | −0.352487 | − | 25.2955i | −0.0214517 | − | 1.53944i | ||||
\(271\) | −5.01359 | −0.304554 | −0.152277 | − | 0.988338i | \(-0.548661\pi\) | ||||
−0.152277 | + | 0.988338i | \(0.548661\pi\) | |||||||
\(272\) | −0.0151983 | − | 0.0349508i | −0.000921533 | − | 0.00211920i | ||||
\(273\) | −0.145035 | − | 0.512281i | −0.00877790 | − | 0.0310047i | ||||
\(274\) | −6.42841 | + | 1.52855i | −0.388355 | + | 0.0923432i | ||||
\(275\) | −3.89285 | − | 14.5283i | −0.234747 | − | 0.876089i | ||||
\(276\) | 0.821224 | − | 19.2605i | 0.0494319 | − | 1.15934i | ||||
\(277\) | −1.80783 | + | 6.74690i | −0.108622 | + | 0.405382i | −0.998731 | − | 0.0503657i | \(-0.983961\pi\) |
0.890109 | + | 0.455747i | \(0.150628\pi\) | |||||||
\(278\) | −8.63718 | − | 0.244964i | −0.518024 | − | 0.0146920i | ||||
\(279\) | −7.82043 | + | 0.220531i | −0.468197 | + | 0.0132028i | ||||
\(280\) | 44.3429 | + | 3.78101i | 2.65000 | + | 0.225959i | ||||
\(281\) | −15.4222 | + | 8.90401i | −0.920011 | + | 0.531169i | −0.883639 | − | 0.468170i | \(-0.844914\pi\) |
−0.0363725 | + | 0.999338i | \(0.511580\pi\) | |||||||
\(282\) | −3.71194 | + | 13.1029i | −0.221043 | + | 0.780268i | ||||
\(283\) | 12.2594 | − | 3.28490i | 0.728746 | − | 0.195267i | 0.124675 | − | 0.992198i | \(-0.460211\pi\) |
0.604071 | + | 0.796931i | \(0.293544\pi\) | |||||||
\(284\) | 7.91384 | − | 12.0710i | 0.469600 | − | 0.716283i | ||||
\(285\) | 20.2115 | − | 12.0521i | 1.19723 | − | 0.713906i | ||||
\(286\) | −0.200068 | − | 0.0597361i | −0.0118302 | − | 0.00353227i | ||||
\(287\) | 22.9156 | 1.35267 | ||||||||
\(288\) | 13.2827 | − | 10.5627i | 0.782690 | − | 0.622412i | ||||
\(289\) | −16.9999 | −0.999995 | ||||||||
\(290\) | 6.19663 | + | 1.85019i | 0.363879 | + | 0.108647i | ||||
\(291\) | −0.229042 | − | 16.2477i | −0.0134267 | − | 0.952457i | ||||
\(292\) | −7.66661 | + | 11.6939i | −0.448655 | + | 0.684335i | ||||
\(293\) | 13.0762 | − | 3.50375i | 0.763918 | − | 0.204691i | 0.144235 | − | 0.989543i | \(-0.453928\pi\) |
0.619683 | + | 0.784852i | \(0.287261\pi\) | |||||||
\(294\) | −32.9850 | + | 8.33612i | −1.92372 | + | 0.486173i | ||||
\(295\) | 0.682398 | − | 0.393983i | 0.0397307 | − | 0.0229386i | ||||
\(296\) | −1.13013 | + | 13.2539i | −0.0656873 | + | 0.770367i | ||||
\(297\) | 11.1330 | + | 2.48384i | 0.646001 | + | 0.144127i | ||||
\(298\) | −9.87756 | − | 0.280143i | −0.572192 | − | 0.0162282i | ||||
\(299\) | 0.0968711 | − | 0.361528i | 0.00560220 | − | 0.0209077i | ||||
\(300\) | 20.0306 | + | 12.7322i | 1.15647 | + | 0.735093i | ||||
\(301\) | −3.28464 | − | 12.2584i | −0.189323 | − | 0.706565i | ||||
\(302\) | −18.7156 | + | 4.45020i | −1.07696 | + | 0.256080i | ||||
\(303\) | −21.7071 | + | 22.3279i | −1.24704 | + | 1.28270i | ||||
\(304\) | 14.6877 | + | 5.78512i | 0.842398 | + | 0.331800i | ||||
\(305\) | −38.7937 | −2.22132 | ||||||||
\(306\) | 0.0104562 | + | 0.0390485i | 0.000597742 | + | 0.00223225i | ||||
\(307\) | 3.28894 | − | 3.28894i | 0.187710 | − | 0.187710i | −0.606995 | − | 0.794705i | \(-0.707625\pi\) |
0.794705 | + | 0.606995i | \(0.207625\pi\) | |||||||
\(308\) | −6.28381 | + | 19.0572i | −0.358053 | + | 1.08589i | ||||
\(309\) | 5.17597 | + | 8.68014i | 0.294451 | + | 0.493796i | ||||
\(310\) | 6.65744 | − | 10.8111i | 0.378117 | − | 0.614031i | ||||
\(311\) | −21.8951 | − | 12.6412i | −1.24156 | − | 0.716814i | −0.272147 | − | 0.962256i | \(-0.587734\pi\) |
−0.969411 | + | 0.245442i | \(0.921067\pi\) | |||||||
\(312\) | 0.296303 | − | 0.144094i | 0.0167749 | − | 0.00815773i | ||||
\(313\) | −3.90504 | + | 2.25458i | −0.220726 | + | 0.127436i | −0.606286 | − | 0.795246i | \(-0.707341\pi\) |
0.385560 | + | 0.922683i | \(0.374008\pi\) | |||||||
\(314\) | 0.698480 | − | 24.6277i | 0.0394175 | − | 1.38982i | ||||
\(315\) | −45.9213 | − | 10.9271i | −2.58737 | − | 0.615670i | ||||
\(316\) | −1.55669 | + | 27.4216i | −0.0875706 | + | 1.54258i | ||||
\(317\) | −2.62723 | − | 0.703963i | −0.147560 | − | 0.0395385i | 0.184283 | − | 0.982873i | \(-0.441004\pi\) |
−0.331843 | + | 0.943335i | \(0.607670\pi\) | |||||||
\(318\) | 0.0889343 | − | 6.23708i | 0.00498719 | − | 0.349758i | ||||
\(319\) | −1.45795 | + | 2.52525i | −0.0816298 | + | 0.141387i | ||||
\(320\) | 2.52130 | + | 27.4253i | 0.140945 | + | 1.53312i | ||||
\(321\) | −7.60232 | − | 26.8524i | −0.424320 | − | 1.49875i | ||||
\(322\) | −34.4672 | − | 10.2912i | −1.92078 | − | 0.573506i | ||||
\(323\) | −0.0265889 | + | 0.0265889i | −0.00147945 | + | 0.00147945i | ||||
\(324\) | −15.5914 | + | 8.99495i | −0.866187 | + | 0.499719i | ||||
\(325\) | 0.325840 | + | 0.325840i | 0.0180744 | + | 0.0180744i | ||||
\(326\) | 14.2871 | − | 7.71708i | 0.791288 | − | 0.427409i | ||||
\(327\) | 28.1089 | − | 7.95806i | 1.55442 | − | 0.440082i | ||||
\(328\) | 2.49333 | + | 13.9603i | 0.137671 | + | 0.770829i | ||||
\(329\) | 22.0064 | + | 12.7054i | 1.21325 | + | 0.700473i | ||||
\(330\) | −13.2749 | + | 12.9017i | −0.730761 | + | 0.710214i | ||||
\(331\) | −8.04319 | + | 30.0176i | −0.442094 | + | 1.64992i | 0.281403 | + | 0.959590i | \(0.409200\pi\) |
−0.723497 | + | 0.690327i | \(0.757466\pi\) | |||||||
\(332\) | 16.3668 | + | 18.3369i | 0.898247 | + | 1.00637i | ||||
\(333\) | 3.26605 | − | 13.7257i | 0.178978 | − | 0.752161i | ||||
\(334\) | −10.4110 | − | 11.0188i | −0.569667 | − | 0.602923i | ||||
\(335\) | 7.93635 | + | 13.7462i | 0.433609 | + | 0.751033i | ||||
\(336\) | −13.0355 | − | 28.8578i | −0.711143 | − | 1.57432i | ||||
\(337\) | 10.2176 | − | 17.6974i | 0.556587 | − | 0.964037i | −0.441191 | − | 0.897413i | \(-0.645444\pi\) |
0.997778 | − | 0.0666240i | \(-0.0212228\pi\) | |||||||
\(338\) | −17.8799 | + | 4.25149i | −0.972537 | + | 0.231250i | ||||
\(339\) | −8.49855 | + | 5.06769i | −0.461578 | + | 0.275239i | ||||
\(340\) | −0.0623034 | − | 0.0205435i | −0.00337888 | − | 0.00111413i | ||||
\(341\) | 4.04804 | + | 4.04804i | 0.219214 | + | 0.219214i | ||||
\(342\) | −14.4990 | − | 8.37412i | −0.784015 | − | 0.452821i | ||||
\(343\) | 31.4882i | 1.70020i | ||||||||
\(344\) | 7.11051 | − | 3.33479i | 0.383373 | − | 0.179800i | ||||
\(345\) | −23.7926 | − | 23.1311i | −1.28095 | − | 1.24534i | ||||
\(346\) | 7.20433 | + | 4.43639i | 0.387307 | + | 0.238502i | ||||
\(347\) | −22.8570 | + | 6.12452i | −1.22703 | + | 0.328782i | −0.813422 | − | 0.581674i | \(-0.802398\pi\) |
−0.413607 | + | 0.910455i | \(0.635731\pi\) | |||||||
\(348\) | −1.00050 | − | 4.49127i | −0.0536327 | − | 0.240757i | ||||
\(349\) | 17.4369 | + | 4.67221i | 0.933378 | + | 0.250098i | 0.693294 | − | 0.720655i | \(-0.256159\pi\) |
0.240083 | + | 0.970752i | \(0.422825\pi\) | |||||||
\(350\) | 32.1905 | − | 30.4149i | 1.72065 | − | 1.62574i | ||||
\(351\) | −0.333436 | + | 0.104639i | −0.0177975 | + | 0.00558521i | ||||
\(352\) | −12.2935 | − | 1.75461i | −0.655244 | − | 0.0935211i | ||||
\(353\) | −12.5772 | − | 21.7843i | −0.669415 | − | 1.15946i | −0.978068 | − | 0.208286i | \(-0.933212\pi\) |
0.308653 | − | 0.951175i | \(-0.400122\pi\) | |||||||
\(354\) | −0.481493 | − | 0.287220i | −0.0255911 | − | 0.0152656i | ||||
\(355\) | −6.43043 | − | 23.9987i | −0.341292 | − | 1.27372i | ||||
\(356\) | −2.50133 | + | 3.81529i | −0.132570 | + | 0.202210i | ||||
\(357\) | 0.0754199 | − | 0.00106318i | 0.00399165 | − | 5.62697e-5i | ||||
\(358\) | 2.45671 | − | 1.32698i | 0.129841 | − | 0.0701331i | ||||
\(359\) | 7.27780i | 0.384108i | 0.981384 | + | 0.192054i | \(0.0615148\pi\) | ||||
−0.981384 | + | 0.192054i | \(0.938485\pi\) | |||||||
\(360\) | 1.66037 | − | 29.1643i | 0.0875089 | − | 1.53710i | ||||
\(361\) | 3.42522i | 0.180275i | ||||||||
\(362\) | −1.73548 | − | 3.21300i | −0.0912149 | − | 0.168871i | ||||
\(363\) | 5.48306 | + | 9.19513i | 0.287786 | + | 0.482619i | ||||
\(364\) | −0.125204 | − | 0.601897i | −0.00656249 | − | 0.0315480i | ||||
\(365\) | 6.22954 | + | 23.2489i | 0.326069 | + | 1.21691i | ||||
\(366\) | 13.4590 | + | 24.0988i | 0.703514 | + | 1.25966i | ||||
\(367\) | −8.64087 | − | 14.9664i | −0.451050 | − | 0.781241i | 0.547402 | − | 0.836870i | \(-0.315617\pi\) |
−0.998452 | + | 0.0556291i | \(0.982284\pi\) | |||||||
\(368\) | 2.51926 | − | 22.1173i | 0.131325 | − | 1.15294i | ||||
\(369\) | −0.423991 | − | 15.0355i | −0.0220721 | − | 0.782716i | ||||
\(370\) | 15.7250 | + | 16.6430i | 0.817503 | + | 0.865228i | ||||
\(371\) | −11.2423 | − | 3.01238i | −0.583673 | − | 0.156395i | ||||
\(372\) | −9.02564 | − | 0.384833i | −0.467958 | − | 0.0199527i | ||||
\(373\) | 4.86123 | − | 1.30256i | 0.251705 | − | 0.0674441i | −0.130760 | − | 0.991414i | \(-0.541742\pi\) |
0.382465 | + | 0.923970i | \(0.375075\pi\) | |||||||
\(374\) | 0.0155103 | − | 0.0251874i | 0.000802019 | − | 0.00130241i | ||||
\(375\) | 10.6232 | − | 3.00760i | 0.548580 | − | 0.155312i | ||||
\(376\) | −5.34580 | + | 14.7888i | −0.275689 | + | 0.762676i | ||||
\(377\) | − | 0.0893352i | − | 0.00460100i | ||||||
\(378\) | 9.14392 | + | 32.3175i | 0.470312 | + | 1.66223i | ||||
\(379\) | −15.2370 | − | 15.2370i | −0.782672 | − | 0.782672i | 0.197609 | − | 0.980281i | \(-0.436682\pi\) |
−0.980281 | + | 0.197609i | \(0.936682\pi\) | |||||||
\(380\) | 24.2643 | − | 12.2307i | 1.24473 | − | 0.627420i | ||||
\(381\) | 15.0866 | + | 8.42898i | 0.772910 | + | 0.431830i | ||||
\(382\) | −3.41912 | − | 14.3793i | −0.174938 | − | 0.735710i | ||||
\(383\) | 13.3638 | − | 23.1468i | 0.682859 | − | 1.18275i | −0.291245 | − | 0.956649i | \(-0.594069\pi\) |
0.974104 | − | 0.226099i | \(-0.0725972\pi\) | |||||||
\(384\) | 16.1620 | − | 11.0811i | 0.824761 | − | 0.565481i | ||||
\(385\) | 17.2703 | + | 29.9131i | 0.880177 | + | 1.52451i | ||||
\(386\) | 24.7670 | − | 23.4009i | 1.26061 | − | 1.19108i | ||||
\(387\) | −7.98227 | + | 2.38193i | −0.405761 | + | 0.121081i | ||||
\(388\) | 1.06345 | − | 18.7329i | 0.0539883 | − | 0.951021i | ||||
\(389\) | −5.47767 | + | 20.4430i | −0.277729 | + | 1.03650i | 0.676261 | + | 0.736662i | \(0.263599\pi\) |
−0.953990 | + | 0.299837i | \(0.903068\pi\) | |||||||
\(390\) | 0.154583 | − | 0.545668i | 0.00782759 | − | 0.0276310i | ||||
\(391\) | 0.0459205 | + | 0.0265122i | 0.00232230 | + | 0.00134078i | ||||
\(392\) | −38.6733 | + | 6.90710i | −1.95330 | + | 0.348861i | ||||
\(393\) | 0.00435739 | − | 0.0172299i | 0.000219801 | − | 0.000869134i | ||||
\(394\) | −11.1621 | − | 20.6650i | −0.562338 | − | 1.04109i | ||||
\(395\) | 33.4299 | + | 33.4299i | 1.68204 | + | 1.68204i | ||||
\(396\) | 12.6202 | + | 3.77035i | 0.634187 | + | 0.189467i | ||||
\(397\) | 18.8537 | − | 18.8537i | 0.946242 | − | 0.946242i | −0.0523851 | − | 0.998627i | \(-0.516682\pi\) |
0.998627 | + | 0.0523851i | \(0.0166823\pi\) | |||||||
\(398\) | 3.58261 | − | 11.9988i | 0.179580 | − | 0.601447i | ||||
\(399\) | −21.7777 | + | 22.4004i | −1.09025 | + | 1.12142i | ||||
\(400\) | 22.0314 | + | 16.3013i | 1.10157 | + | 0.815065i | ||||
\(401\) | 2.65035 | − | 4.59054i | 0.132352 | − | 0.229241i | −0.792231 | − | 0.610222i | \(-0.791080\pi\) |
0.924583 | + | 0.380981i | \(0.124414\pi\) | |||||||
\(402\) | 5.78575 | − | 9.69916i | 0.288567 | − | 0.483750i | ||||
\(403\) | −0.169415 | − | 0.0453947i | −0.00843918 | − | 0.00226127i | ||||
\(404\) | −26.8264 | + | 23.9442i | −1.33466 | + | 1.19127i | ||||
\(405\) | −6.31984 | + | 30.3322i | −0.314035 | + | 1.50722i | ||||
\(406\) | −8.58222 | − | 0.243405i | −0.425928 | − | 0.0120800i | ||||
\(407\) | −8.94088 | + | 5.16202i | −0.443183 | + | 0.255872i | ||||
\(408\) | 0.00885373 | + | 0.0458305i | 0.000438325 | + | 0.00226895i | ||||
\(409\) | −22.2531 | − | 12.8479i | −1.10035 | − | 0.635285i | −0.164035 | − | 0.986455i | \(-0.552451\pi\) |
−0.936312 | + | 0.351169i | \(0.885784\pi\) | |||||||
\(410\) | 20.7854 | + | 12.7995i | 1.02652 | + | 0.632124i | ||||
\(411\) | 8.09187 | − | 0.114070i | 0.399143 | − | 0.00562666i | ||||
\(412\) | 5.25265 | + | 10.4207i | 0.258779 | + | 0.513390i | ||||
\(413\) | −0.739719 | + | 0.739719i | −0.0363992 | + | 0.0363992i | ||||
\(414\) | −6.11457 | + | 22.8051i | −0.300515 | + | 1.12081i | ||||
\(415\) | 42.3076 | 2.07680 | ||||||||
\(416\) | 0.353055 | − | 0.141764i | 0.0173100 | − | 0.00695056i | ||||
\(417\) | 10.2596 | + | 2.59462i | 0.502415 | + | 0.127059i | ||||
\(418\) | 2.83425 | + | 11.9196i | 0.138628 | + | 0.583006i | ||||
\(419\) | 9.68369 | + | 36.1400i | 0.473079 | + | 1.76556i | 0.628607 | + | 0.777723i | \(0.283626\pi\) |
−0.155528 | + | 0.987832i | \(0.549708\pi\) | |||||||
\(420\) | −51.9998 | − | 16.3371i | −2.53733 | − | 0.797170i | ||||
\(421\) | 4.37016 | − | 16.3097i | 0.212989 | − | 0.794885i | −0.773876 | − | 0.633337i | \(-0.781685\pi\) |
0.986865 | − | 0.161548i | \(-0.0516486\pi\) | |||||||
\(422\) | −0.956602 | + | 33.7289i | −0.0465667 | + | 1.64190i | ||||
\(423\) | 7.92915 | − | 14.6740i | 0.385529 | − | 0.713475i | ||||
\(424\) | 0.611935 | − | 7.17665i | 0.0297182 | − | 0.348529i | ||||
\(425\) | −0.0565364 | + | 0.0326413i | −0.00274242 | + | 0.00158334i | ||||
\(426\) | −12.6771 | + | 12.3207i | −0.614208 | + | 0.596938i | ||||
\(427\) | 49.7484 | − | 13.3301i | 2.40750 | − | 0.645087i | ||||
\(428\) | −6.56287 | − | 31.5498i | −0.317228 | − | 1.52502i | ||||
\(429\) | 0.223241 | + | 0.124726i | 0.0107782 | + | 0.00602183i | ||||
\(430\) | 3.86766 | − | 12.9535i | 0.186515 | − | 0.624674i | ||||
\(431\) | −35.2704 | −1.69891 | −0.849457 | − | 0.527658i | \(-0.823070\pi\) | ||||
−0.849457 | + | 0.527658i | \(0.823070\pi\) | |||||||
\(432\) | −18.6930 | + | 9.08680i | −0.899370 | + | 0.437189i | ||||
\(433\) | 40.6920 | 1.95553 | 0.977766 | − | 0.209700i | \(-0.0672488\pi\) | ||||
0.977766 | + | 0.209700i | \(0.0672488\pi\) | |||||||
\(434\) | −4.82255 | + | 16.1516i | −0.231490 | + | 0.775303i | ||||
\(435\) | −6.91437 | − | 3.86310i | −0.331519 | − | 0.185222i | ||||
\(436\) | 33.0261 | − | 6.86997i | 1.58166 | − | 0.329012i | ||||
\(437\) | −21.2142 | + | 5.68431i | −1.01481 | + | 0.271918i | ||||
\(438\) | 12.2811 | − | 11.9358i | 0.586812 | − | 0.570313i | ||||
\(439\) | 11.7973 | − | 6.81118i | 0.563055 | − | 0.325080i | −0.191316 | − | 0.981529i | \(-0.561275\pi\) |
0.754371 | + | 0.656449i | \(0.227942\pi\) | |||||||
\(440\) | −16.3441 | + | 13.7758i | −0.779174 | + | 0.656737i | ||||
\(441\) | 41.6518 | − | 1.17455i | 1.98342 | − | 0.0559311i | ||||
\(442\) | −2.56923e−5 | 0 | 0.000905884i | −1.22206e−6 | 0 | 4.30885e-5i | ||||
\(443\) | −2.61349 | + | 9.75367i | −0.124171 | + | 0.463411i | −0.999809 | − | 0.0195569i | \(-0.993774\pi\) |
0.875638 | + | 0.482968i | \(0.160441\pi\) | |||||||
\(444\) | 4.88309 | − | 15.5425i | 0.231741 | − | 0.737615i | ||||
\(445\) | 2.03247 | + | 7.58527i | 0.0963481 | + | 0.359576i | ||||
\(446\) | 6.25100 | + | 26.2889i | 0.295994 | + | 1.24482i | ||||
\(447\) | 11.7330 | + | 2.96723i | 0.554950 | + | 0.140345i | ||||
\(448\) | −12.6570 | − | 34.3034i | −0.597987 | − | 1.62068i | ||||
\(449\) | −5.23717 | −0.247158 | −0.123579 | − | 0.992335i | \(-0.539437\pi\) | ||||
−0.123579 | + | 0.992335i | \(0.539437\pi\) | |||||||
\(450\) | −20.5515 | − | 20.5582i | −0.968807 | − | 0.969121i | ||||
\(451\) | −7.78273 | + | 7.78273i | −0.366474 | + | 0.366474i | ||||
\(452\) | −10.2027 | + | 5.14277i | −0.479893 | + | 0.241895i | ||||
\(453\) | 23.5585 | − | 0.332102i | 1.10688 | − | 0.0156035i | ||||
\(454\) | 0.0976314 | + | 0.0601210i | 0.00458207 | + | 0.00282162i | ||||
\(455\) | −0.916453 | − | 0.529114i | −0.0429640 | − | 0.0248053i | ||||
\(456\) | −16.0160 | − | 10.8298i | −0.750016 | − | 0.507151i | ||||
\(457\) | −3.03428 | + | 1.75184i | −0.141938 | + | 0.0819477i | −0.569287 | − | 0.822139i | \(-0.692781\pi\) |
0.427349 | + | 0.904087i | \(0.359447\pi\) | |||||||
\(458\) | 4.96883 | + | 0.140924i | 0.232178 | + | 0.00658493i | ||||
\(459\) | −0.00209302 | − | 0.0494651i | −9.76936e−5 | − | 0.00230883i | ||||
\(460\) | −25.5149 | − | 28.5862i | −1.18964 | − | 1.33284i | ||||
\(461\) | −32.1116 | − | 8.60429i | −1.49559 | − | 0.400742i | −0.583968 | − | 0.811777i | \(-0.698501\pi\) |
−0.911620 | + | 0.411035i | \(0.865167\pi\) | |||||||
\(462\) | 12.5904 | − | 21.1064i | 0.585758 | − | 0.981958i | ||||
\(463\) | 14.6805 | − | 25.4274i | 0.682261 | − | 1.18171i | −0.292028 | − | 0.956410i | \(-0.594330\pi\) |
0.974289 | − | 0.225301i | \(-0.0723366\pi\) | |||||||
\(464\) | −0.785501 | − | 5.25481i | −0.0364660 | − | 0.243948i | ||||
\(465\) | −10.8394 | + | 11.1494i | −0.502667 | + | 0.517042i | ||||
\(466\) | −11.2337 | + | 37.6237i | −0.520390 | + | 1.74288i | ||||
\(467\) | 7.90699 | − | 7.90699i | 0.365892 | − | 0.365892i | −0.500085 | − | 0.865977i | \(-0.666698\pi\) |
0.865977 | + | 0.500085i | \(0.166698\pi\) | |||||||
\(468\) | −0.392602 | + | 0.0932859i | −0.0181480 | + | 0.00431214i | ||||
\(469\) | −14.9008 | − | 14.9008i | −0.688057 | − | 0.688057i | ||||
\(470\) | 12.8641 | + | 23.8160i | 0.593376 | + | 1.09855i | ||||
\(471\) | −7.39820 | + | 29.2538i | −0.340891 | + | 1.34794i | ||||
\(472\) | −0.531125 | − | 0.370155i | −0.0244470 | − | 0.0170378i | ||||
\(473\) | 5.27882 | + | 3.04773i | 0.242720 | + | 0.140135i | ||||
\(474\) | 9.16866 | − | 32.3649i | 0.421131 | − | 1.48657i | ||||
\(475\) | 6.99842 | − | 26.1185i | 0.321109 | − | 1.19840i | ||||
\(476\) | 0.0869561 | + | 0.00493639i | 0.00398562 | + | 0.000226259i | ||||
\(477\) | −1.76848 | + | 7.43209i | −0.0809732 | + | 0.340292i | ||||
\(478\) | 5.27415 | − | 4.98323i | 0.241234 | − | 0.227928i | ||||
\(479\) | 5.66988 | + | 9.82052i | 0.259064 | + | 0.448711i | 0.965991 | − | 0.258575i | \(-0.0832528\pi\) |
−0.706928 | + | 0.707286i | \(0.749919\pi\) | |||||||
\(480\) | 4.29482 | − | 33.4561i | 0.196031 | − | 1.52705i | ||||
\(481\) | 0.158150 | − | 0.273923i | 0.00721101 | − | 0.0124898i | ||||
\(482\) | −0.477528 | − | 2.00827i | −0.0217508 | − | 0.0914742i | ||||
\(483\) | 38.4594 | + | 21.4875i | 1.74996 | + | 0.977716i | ||||
\(484\) | 5.56429 | + | 11.0389i | 0.252922 | + | 0.501769i | ||||
\(485\) | −22.8375 | − | 22.8375i | −1.03700 | − | 1.03700i | ||||
\(486\) | 21.0350 | − | 6.59748i | 0.954169 | − | 0.299268i | ||||
\(487\) | − | 27.9896i | − | 1.26833i | −0.773198 | − | 0.634165i | \(-0.781344\pi\) | ||
0.773198 | − | 0.634165i | \(-0.218656\pi\) | |||||||
\(488\) | 13.5336 | + | 28.8566i | 0.612637 | + | 1.30628i | ||||
\(489\) | −19.1353 | + | 5.41751i | −0.865330 | + | 0.244988i | ||||
\(490\) | −35.4577 | + | 57.5804i | −1.60182 | + | 2.60122i | ||||
\(491\) | 12.6271 | − | 3.38342i | 0.569853 | − | 0.152692i | 0.0376238 | − | 0.999292i | \(-0.488021\pi\) |
0.532229 | + | 0.846600i | \(0.321354\pi\) | |||||||
\(492\) | 0.739876 | − | 17.3526i | 0.0333562 | − | 0.782316i | ||||
\(493\) | 0.0122249 | + | 0.00327565i | 0.000550581 | + | 0.000147528i | ||||
\(494\) | −0.257791 | − | 0.272841i | −0.0115986 | − | 0.0122757i | ||||
\(495\) | 19.3071 | − | 11.8849i | 0.867790 | − | 0.534187i | ||||
\(496\) | −10.3644 | − | 1.18055i | −0.465374 | − | 0.0530082i | ||||
\(497\) | 16.4926 | + | 28.5660i | 0.739793 | + | 1.28136i | ||||
\(498\) | −14.6781 | − | 26.2817i | −0.657743 | − | 1.17771i | ||||
\(499\) | 3.90895 | + | 14.5884i | 0.174989 | + | 0.653066i | 0.996554 | + | 0.0829515i | \(0.0264347\pi\) |
−0.821565 | + | 0.570115i | \(0.806899\pi\) | |||||||
\(500\) | 12.4816 | − | 2.59637i | 0.558193 | − | 0.116113i | ||||
\(501\) | 9.50885 | + | 15.9464i | 0.424824 | + | 0.712433i | ||||
\(502\) | −0.182160 | − | 0.337243i | −0.00813018 | − | 0.0150519i | ||||
\(503\) | − | 2.90879i | − | 0.129697i | −0.997895 | − | 0.0648483i | \(-0.979344\pi\) | ||
0.997895 | − | 0.0648483i | \(-0.0206564\pi\) | |||||||
\(504\) | 7.89205 | + | 37.9705i | 0.351540 | + | 1.69134i | ||||
\(505\) | 61.8949i | 2.75429i | ||||||||
\(506\) | 15.2011 | − | 8.21076i | 0.675770 | − | 0.365013i | ||||
\(507\) | 22.5066 | − | 0.317272i | 0.999553 | − | 0.0140906i | ||||
\(508\) | 16.6883 | + | 10.9410i | 0.740424 | + | 0.485427i | ||||
\(509\) | −9.12406 | − | 34.0514i | −0.404417 | − | 1.50930i | −0.805129 | − | 0.593100i | \(-0.797904\pi\) |
0.400712 | − | 0.916204i | \(-0.368763\pi\) | |||||||
\(510\) | 0.0690026 | + | 0.0411615i | 0.00305549 | + | 0.00182266i | ||||
\(511\) | −15.9773 | − | 27.6736i | −0.706796 | − | 1.22421i | ||||
\(512\) | 19.5207 | − | 11.4431i | 0.862700 | − | 0.505717i | ||||
\(513\) | 15.1004 | + | 13.8744i | 0.666698 | + | 0.612568i | ||||
\(514\) | 32.5722 | − | 30.7755i | 1.43670 | − | 1.35745i | ||||
\(515\) | 19.4026 | + | 5.19891i | 0.854981 | + | 0.229092i | ||||
\(516\) | −9.38861 | + | 2.09147i | −0.413311 | + | 0.0920717i | ||||
\(517\) | −11.7890 | + | 3.15886i | −0.518481 | + | 0.138926i | ||||
\(518\) | −25.8843 | − | 15.9394i | −1.13729 | − | 0.700337i | ||||
\(519\) | −7.42976 | − | 7.22320i | −0.326130 | − | 0.317063i | ||||
\(520\) | 0.222624 | − | 0.615877i | 0.00976273 | − | 0.0270080i | ||||
\(521\) | − | 13.7437i | − | 0.602123i | −0.953605 | − | 0.301061i | \(-0.902659\pi\) | ||
0.953605 | − | 0.301061i | \(-0.0973409\pi\) | |||||||
\(522\) | −0.000913373 | 5.63549i | −3.99773e−5 | 0.246659i | ||||||
\(523\) | 9.11467 | + | 9.11467i | 0.398557 | + | 0.398557i | 0.877724 | − | 0.479167i | \(-0.159061\pi\) |
−0.479167 | + | 0.877724i | \(0.659061\pi\) | |||||||
\(524\) | 0.00642637 | − | 0.0194896i | 0.000280737 | − | 0.000851406i | ||||
\(525\) | −46.5860 | + | 27.7792i | −2.03318 | + | 1.21238i | ||||
\(526\) | −16.3059 | + | 3.87723i | −0.710971 | + | 0.169055i | ||||
\(527\) | 0.0124239 | − | 0.0215188i | 0.000541192 | − | 0.000937372i | ||||
\(528\) | 14.2280 | + | 5.37364i | 0.619194 | + | 0.233858i | ||||
\(529\) | 3.98502 | + | 6.90225i | 0.173262 | + | 0.300098i | ||||
\(530\) | −8.51468 | − | 9.01176i | −0.369854 | − | 0.391446i | ||||
\(531\) | 0.499033 | + | 0.471660i | 0.0216562 | + | 0.0204683i | ||||
\(532\) | −26.9135 | + | 24.0220i | −1.16685 | + | 1.04149i | ||||
\(533\) | 0.0872754 | − | 0.325716i | 0.00378032 | − | 0.0141083i | ||||
\(534\) | 4.00686 | − | 3.89419i | 0.173394 | − | 0.168518i | ||||
\(535\) | −48.0379 | − | 27.7347i | −2.07686 | − | 1.19908i | ||||
\(536\) | 7.45638 | − | 10.6989i | 0.322067 | − | 0.462124i | ||||
\(537\) | −3.29039 | + | 0.931561i | −0.141991 | + | 0.0401998i | ||||
\(538\) | −7.75048 | + | 4.18638i | −0.334147 | + | 0.180488i | ||||
\(539\) | −21.5600 | − | 21.5600i | −0.928654 | − | 0.928654i | ||||
\(540\) | −9.75704 | + | 34.4205i | −0.419876 | + | 1.48122i | ||||
\(541\) | −17.0782 | + | 17.0782i | −0.734248 | + | 0.734248i | −0.971458 | − | 0.237210i | \(-0.923767\pi\) |
0.237210 | + | 0.971458i | \(0.423767\pi\) | |||||||
\(542\) | 6.79392 | + | 2.02853i | 0.291824 | + | 0.0871326i | ||||
\(543\) | 1.21834 | + | 4.30332i | 0.0522838 | + | 0.184673i | ||||
\(544\) | 0.00645395 | + | 0.0535111i | 0.000276711 | + | 0.00229427i | ||||
\(545\) | 29.0325 | − | 50.2858i | 1.24362 | − | 2.15401i | ||||
\(546\) | −0.0107352 | + | 0.752874i | −0.000459424 | + | 0.0322200i | ||||
\(547\) | 3.34927 | + | 0.897434i | 0.143204 | + | 0.0383715i | 0.329709 | − | 0.944083i | \(-0.393049\pi\) |
−0.186505 | + | 0.982454i | \(0.559716\pi\) | |||||||
\(548\) | 9.32960 | + | 0.529630i | 0.398541 | + | 0.0226247i | ||||
\(549\) | −9.66661 | − | 32.3945i | −0.412561 | − | 1.38256i | ||||
\(550\) | −0.603033 | + | 21.2624i | −0.0257134 | + | 0.906630i | ||||
\(551\) | −4.53981 | + | 2.62106i | −0.193402 | + | 0.111661i | ||||
\(552\) | −8.90573 | + | 25.7676i | −0.379053 | + | 1.09674i | ||||
\(553\) | −54.3570 | − | 31.3830i | −2.31149 | − | 1.33454i | ||||
\(554\) | 5.17961 | − | 8.41126i | 0.220061 | − | 0.357360i | ||||
\(555\) | −14.3623 | − | 24.0857i | −0.609646 | − | 1.02238i | ||||
\(556\) | 11.6051 | + | 3.82660i | 0.492167 | + | 0.162284i | ||||
\(557\) | −6.42266 | + | 6.42266i | −0.272137 | + | 0.272137i | −0.829960 | − | 0.557823i | \(-0.811637\pi\) |
0.557823 | + | 0.829960i | \(0.311637\pi\) | |||||||
\(558\) | 10.6867 | + | 2.86534i | 0.452403 | + | 0.121300i | ||||
\(559\) | −0.186748 | −0.00789858 | ||||||||
\(560\) | −58.5592 | − | 23.0650i | −2.47458 | − | 0.974675i | ||||
\(561\) | −0.0252534 | + | 0.0259756i | −0.00106620 | + | 0.00109669i | ||||
\(562\) | 24.5012 | − | 5.82592i | 1.03352 | − | 0.245751i | ||||
\(563\) | −0.591735 | − | 2.20839i | −0.0249387 | − | 0.0930723i | 0.952335 | − | 0.305055i | \(-0.0986747\pi\) |
−0.977273 | + | 0.211982i | \(0.932008\pi\) | |||||||
\(564\) | 10.3316 | − | 16.2539i | 0.435037 | − | 0.684413i | ||||
\(565\) | −5.09015 | + | 18.9967i | −0.214144 | + | 0.799198i | ||||
\(566\) | −17.9418 | − | 0.508857i | −0.754150 | − | 0.0213889i | ||||
\(567\) | −2.31809 | − | 41.0691i | −0.0973505 | − | 1.72474i | ||||
\(568\) | −15.6080 | + | 13.1555i | −0.654899 | + | 0.551991i | ||||
\(569\) | −8.94577 | + | 5.16484i | −0.375026 | + | 0.216522i | −0.675652 | − | 0.737221i | \(-0.736138\pi\) |
0.300626 | + | 0.953742i | \(0.402804\pi\) | |||||||
\(570\) | −32.2650 | + | 8.15415i | −1.35143 | + | 0.341540i | ||||
\(571\) | −40.8233 | + | 10.9386i | −1.70840 | + | 0.457765i | −0.975032 | − | 0.222063i | \(-0.928721\pi\) |
−0.733371 | + | 0.679828i | \(0.762054\pi\) | |||||||
\(572\) | 0.246942 | + | 0.161897i | 0.0103252 | + | 0.00676924i | ||||
\(573\) | 0.255156 | + | 18.1002i | 0.0106593 | + | 0.756147i | ||||
\(574\) | −31.0530 | − | 9.27179i | −1.29613 | − | 0.386997i | ||||
\(575\) | −38.1297 | −1.59012 | ||||||||
\(576\) | −22.2731 | + | 8.93923i | −0.928045 | + | 0.372468i | ||||
\(577\) | −28.0181 | −1.16641 | −0.583204 | − | 0.812326i | \(-0.698201\pi\) | ||||
−0.583204 | + | 0.812326i | \(0.698201\pi\) | |||||||
\(578\) | 23.0366 | + | 6.87825i | 0.958195 | + | 0.286098i | ||||
\(579\) | −35.8428 | + | 21.3731i | −1.48958 | + | 0.888235i | ||||
\(580\) | −7.64845 | − | 5.01438i | −0.317585 | − | 0.208211i | ||||
\(581\) | −54.2547 | + | 14.5375i | −2.25086 | + | 0.603117i | ||||
\(582\) | −6.26353 | + | 22.1099i | −0.259632 | + | 0.916486i | ||||
\(583\) | 4.84126 | − | 2.79510i | 0.200505 | − | 0.115761i | ||||
\(584\) | 15.1204 | − | 12.7445i | 0.625688 | − | 0.527370i | ||||
\(585\) | −0.330207 | + | 0.611095i | −0.0136524 | + | 0.0252657i | ||||
\(586\) | −19.1372 | − | 0.542759i | −0.790549 | − | 0.0224212i | ||||
\(587\) | 7.00291 | − | 26.1352i | 0.289041 | − | 1.07872i | −0.656794 | − | 0.754070i | \(-0.728088\pi\) |
0.945835 | − | 0.324646i | \(-0.105245\pi\) | |||||||
\(588\) | 48.0708 | + | 2.04963i | 1.98241 | + | 0.0845254i | ||||
\(589\) | 2.66372 | + | 9.94115i | 0.109757 | + | 0.409618i | ||||
\(590\) | −1.08412 | + | 0.257784i | −0.0446327 | + | 0.0106128i | ||||
\(591\) | 7.83596 | + | 27.6776i | 0.322328 | + | 1.13850i | ||||
\(592\) | 6.89403 | − | 17.5031i | 0.283343 | − | 0.719372i | ||||
\(593\) | 27.4816 | 1.12853 | 0.564267 | − | 0.825592i | \(-0.309159\pi\) | ||||
0.564267 | + | 0.825592i | \(0.309159\pi\) | |||||||
\(594\) | −14.0813 | − | 7.87032i | −0.577764 | − | 0.322923i | ||||
\(595\) | 0.106009 | − | 0.106009i | 0.00434594 | − | 0.00434594i | ||||
\(596\) | 13.2717 | + | 4.37614i | 0.543631 | + | 0.179253i | ||||
\(597\) | −7.48031 | + | 13.3886i | −0.306149 | + | 0.547960i | ||||
\(598\) | −0.277546 | + | 0.450712i | −0.0113497 | + | 0.0184310i | ||||
\(599\) | 23.2792 | + | 13.4402i | 0.951162 | + | 0.549153i | 0.893442 | − | 0.449179i | \(-0.148284\pi\) |
0.0577200 | + | 0.998333i | \(0.481617\pi\) | |||||||
\(600\) | −21.9920 | − | 25.3579i | −0.897819 | − | 1.03523i | ||||
\(601\) | 33.4069 | − | 19.2875i | 1.36269 | − | 0.786752i | 0.372713 | − | 0.927947i | \(-0.378428\pi\) |
0.989982 | + | 0.141195i | \(0.0450944\pi\) | |||||||
\(602\) | −0.508817 | + | 17.9404i | −0.0207378 | + | 0.731196i | ||||
\(603\) | −9.50108 | + | 10.0525i | −0.386914 | + | 0.409369i | ||||
\(604\) | 27.1620 | + | 1.54195i | 1.10521 | + | 0.0627412i | ||||
\(605\) | 20.5538 | + | 5.50737i | 0.835630 | + | 0.223906i | ||||
\(606\) | 38.4493 | − | 21.4737i | 1.56190 | − | 0.872310i | ||||
\(607\) | −4.36643 | + | 7.56288i | −0.177228 | + | 0.306968i | −0.940930 | − | 0.338601i | \(-0.890046\pi\) |
0.763702 | + | 0.645569i | \(0.223380\pi\) | |||||||
\(608\) | −17.5626 | − | 13.7821i | −0.712258 | − | 0.558940i | ||||
\(609\) | 10.1943 | + | 2.57811i | 0.413094 | + | 0.104470i | ||||
\(610\) | 52.5693 | + | 15.6961i | 2.12847 | + | 0.635518i | ||||
\(611\) | 0.264404 | − | 0.264404i | 0.0106966 | − | 0.0106966i | ||||
\(612\) | 0.00162999 | − | 0.0571452i | 6.58886e−5 | − | 0.00230996i | ||||
\(613\) | 22.3747 | + | 22.3747i | 0.903705 | + | 0.903705i | 0.995754 | − | 0.0920491i | \(-0.0293417\pi\) |
−0.0920491 | + | 0.995754i | \(0.529342\pi\) | |||||||
\(614\) | −5.78757 | + | 3.12612i | −0.233567 | + | 0.126160i | ||||
\(615\) | −21.4358 | − | 20.8398i | −0.864374 | − | 0.840343i | ||||
\(616\) | 16.2259 | − | 23.2820i | 0.653758 | − | 0.938058i | ||||
\(617\) | 36.5935 | + | 21.1273i | 1.47320 | + | 0.850552i | 0.999545 | − | 0.0301587i | \(-0.00960127\pi\) |
0.473654 | + | 0.880711i | \(0.342935\pi\) | |||||||
\(618\) | −3.50192 | − | 13.8567i | −0.140868 | − | 0.557397i | ||||
\(619\) | 1.95959 | − | 7.31328i | 0.0787625 | − | 0.293946i | −0.915298 | − | 0.402778i | \(-0.868045\pi\) |
0.994060 | + | 0.108833i | \(0.0347113\pi\) | |||||||
\(620\) | −13.3957 | + | 11.9565i | −0.537986 | + | 0.480186i | ||||
\(621\) | 13.3869 | − | 25.6317i | 0.537196 | − | 1.02856i | ||||
\(622\) | 24.5554 | + | 25.9889i | 0.984581 | + | 1.04206i | ||||
\(623\) | −5.21281 | − | 9.02885i | −0.208847 | − | 0.361733i | ||||
\(624\) | −0.459822 | + | 0.0753762i | −0.0184076 | + | 0.00301746i | ||||
\(625\) | −6.15675 | + | 10.6638i | −0.246270 | + | 0.426552i | ||||
\(626\) | 6.20393 | − | 1.47518i | 0.247959 | − | 0.0589599i | ||||
\(627\) | −0.211509 | − | 15.0040i | −0.00844687 | − | 0.599202i | ||||
\(628\) | −10.9110 | + | 33.0904i | −0.435397 | + | 1.32045i | ||||
\(629\) | 0.0316856 | + | 0.0316856i | 0.00126339 | + | 0.00126339i | ||||
\(630\) | 57.8067 | + | 33.3872i | 2.30308 | + | 1.33018i | ||||
\(631\) | − | 9.01756i | − | 0.358983i | −0.983759 | − | 0.179492i | \(-0.942555\pi\) | ||
0.983759 | − | 0.179492i | \(-0.0574453\pi\) | |||||||
\(632\) | 13.2044 | − | 36.5291i | 0.525242 | − | 1.45305i | ||||
\(633\) | 10.1322 | − | 40.0645i | 0.402719 | − | 1.59242i | ||||
\(634\) | 3.27533 | + | 2.01693i | 0.130080 | + | 0.0801025i | ||||
\(635\) | 33.1784 | − | 8.89013i | 1.31664 | − | 0.352794i | ||||
\(636\) | −2.64407 | + | 8.41588i | −0.104844 | + | 0.333711i | ||||
\(637\) | 0.902311 | + | 0.241773i | 0.0357508 | + | 0.00957941i | ||||
\(638\) | 2.99740 | − | 2.83207i | 0.118668 | − | 0.112123i | ||||
\(639\) | 18.4376 | − | 11.3497i | 0.729382 | − | 0.448987i | ||||
\(640\) | 7.67980 | − | 38.1841i | 0.303571 | − | 1.50936i | ||||
\(641\) | −16.9278 | − | 29.3199i | −0.668609 | − | 1.15807i | −0.978293 | − | 0.207226i | \(-0.933557\pi\) |
0.309684 | − | 0.950840i | \(-0.399777\pi\) | |||||||
\(642\) | −0.562710 | + | 39.4636i | −0.0222084 | + | 1.55750i | ||||
\(643\) | 10.3175 | + | 38.5056i | 0.406884 | + | 1.51851i | 0.800554 | + | 0.599261i | \(0.204539\pi\) |
−0.393669 | + | 0.919252i | \(0.628794\pi\) | |||||||
\(644\) | 42.5426 | + | 27.8912i | 1.67641 | + | 1.09907i | ||||
\(645\) | −8.07548 | + | 14.4539i | −0.317972 | + | 0.569122i | ||||
\(646\) | 0.0467887 | − | 0.0252726i | 0.00184088 | − | 0.000994338i | ||||
\(647\) | 19.8346i | 0.779778i | 0.920862 | + | 0.389889i | \(0.127487\pi\) | ||||
−0.920862 | + | 0.389889i | \(0.872513\pi\) | |||||||
\(648\) | 24.7673 | − | 5.88069i | 0.972950 | − | 0.231016i | ||||
\(649\) | − | 0.502454i | − | 0.0197231i | ||||||
\(650\) | −0.309709 | − | 0.573383i | −0.0121478 | − | 0.0224899i | ||||
\(651\) | 10.0693 | − | 18.0224i | 0.394645 | − | 0.706355i | ||||
\(652\) | −22.4828 | + | 4.67678i | −0.880493 | + | 0.183157i | ||||
\(653\) | 1.89281 | + | 7.06407i | 0.0740714 | + | 0.276438i | 0.993021 | − | 0.117936i | \(-0.0376279\pi\) |
−0.918950 | + | 0.394375i | \(0.870961\pi\) | |||||||
\(654\) | −41.3102 | − | 0.589041i | −1.61536 | − | 0.0230333i | ||||
\(655\) | −0.0176621 | − | 0.0305917i | −0.000690116 | − | 0.00119532i | ||||
\(656\) | 2.26971 | − | 19.9264i | 0.0886173 | − | 0.777996i | ||||
\(657\) | −17.8616 | + | 10.9951i | −0.696849 | + | 0.428960i | ||||
\(658\) | −24.6802 | − | 26.1210i | −0.962136 | − | 1.01830i | ||||
\(659\) | −29.2812 | − | 7.84588i | −1.14063 | − | 0.305632i | −0.361429 | − | 0.932400i | \(-0.617711\pi\) |
−0.779206 | + | 0.626768i | \(0.784378\pi\) | |||||||
\(660\) | 23.2089 | − | 12.1120i | 0.903407 | − | 0.471457i | ||||
\(661\) | −6.59497 | + | 1.76712i | −0.256515 | + | 0.0687329i | −0.384785 | − | 0.923006i | \(-0.625724\pi\) |
0.128270 | + | 0.991739i | \(0.459058\pi\) | |||||||
\(662\) | 23.0446 | − | 37.4225i | 0.895654 | − | 1.45447i | ||||
\(663\) | 0.000272129 | − | 0.00107605i | 1.05686e−5 | − | 4.17902e-5i | ||||
\(664\) | −14.7595 | − | 31.4705i | −0.572779 | − | 1.22129i | ||||
\(665\) | 62.0959i | 2.40798i | ||||||||
\(666\) | −9.97929 | + | 17.2782i | −0.386690 | + | 0.669515i | ||||
\(667\) | 5.22699 | + | 5.22699i | 0.202390 | + | 0.202390i | ||||
\(668\) | 9.64972 | + | 19.1440i | 0.373359 | + | 0.740702i | ||||
\(669\) | −0.466489 | − | 33.0917i | −0.0180355 | − | 1.27940i | ||||
\(670\) | −5.19278 | − | 21.8385i | −0.200614 | − | 0.843695i | ||||
\(671\) | −12.3686 | + | 21.4230i | −0.477485 | + | 0.827027i | ||||
\(672\) | 5.98836 | + | 44.3794i | 0.231006 | + | 1.71197i | ||||
\(673\) | −15.7160 | − | 27.2209i | −0.605808 | − | 1.04929i | −0.991923 | − | 0.126839i | \(-0.959517\pi\) |
0.386116 | − | 0.922450i | \(-0.373817\pi\) | |||||||
\(674\) | −21.0063 | + | 19.8476i | −0.809132 | + | 0.764501i | ||||
\(675\) | 19.0885 | + | 30.0521i | 0.734718 | + | 1.15671i | ||||
\(676\) | 25.9492 | + | 1.47310i | 0.998045 | + | 0.0566578i | ||||
\(677\) | 8.04835 | − | 30.0368i | 0.309323 | − | 1.15441i | −0.619837 | − | 0.784731i | \(-0.712801\pi\) |
0.929160 | − | 0.369679i | \(-0.120532\pi\) | |||||||
\(678\) | 13.5668 | − | 3.42867i | 0.521030 | − | 0.131677i | ||||
\(679\) | 37.1337 | + | 21.4392i | 1.42506 | + | 0.822760i | ||||
\(680\) | 0.0761153 | + | 0.0530468i | 0.00291889 | + | 0.00203425i | ||||
\(681\) | −0.100686 | − | 0.0978871i | −0.00385831 | − | 0.00375104i | ||||
\(682\) | −3.84764 | − | 7.12336i | −0.147334 | − | 0.272768i | ||||
\(683\) | −4.48036 | − | 4.48036i | −0.171436 | − | 0.171436i | 0.616174 | − | 0.787610i | \(-0.288682\pi\) |
−0.787610 | + | 0.616174i | \(0.788682\pi\) | |||||||
\(684\) | 16.2593 | + | 17.2141i | 0.621691 | + | 0.658199i | ||||
\(685\) | 11.3738 | − | 11.3738i | 0.434570 | − | 0.434570i | ||||
\(686\) | 12.7403 | − | 42.6697i | 0.486427 | − | 1.62914i | ||||
\(687\) | −5.90218 | − | 1.49264i | −0.225182 | − | 0.0569479i | ||||
\(688\) | −10.9847 | + | 1.64202i | −0.418789 | + | 0.0626015i | ||||
\(689\) | −0.0856341 | + | 0.148323i | −0.00326240 | + | 0.00565064i | ||||
\(690\) | 22.8823 | + | 40.9715i | 0.871116 | + | 1.55976i | ||||
\(691\) | 31.7592 | + | 8.50986i | 1.20818 | + | 0.323730i | 0.806047 | − | 0.591852i | \(-0.201603\pi\) |
0.402131 | + | 0.915582i | \(0.368270\pi\) | |||||||
\(692\) | −7.96760 | − | 8.92666i | −0.302883 | − | 0.339341i | ||||
\(693\) | −20.6753 | + | 21.8752i | −0.785391 | + | 0.830972i | ||||
\(694\) | 33.4516 | + | 0.948738i | 1.26980 | + | 0.0360136i | ||||
\(695\) | 18.2159 | − | 10.5170i | 0.690969 | − | 0.398931i | ||||
\(696\) | −0.461409 | + | 6.49093i | −0.0174897 | + | 0.246038i | ||||
\(697\) | 0.0413718 | + | 0.0238860i | 0.00156707 | + | 0.000904747i | ||||
\(698\) | −21.7384 | − | 13.3864i | −0.822810 | − | 0.506682i | ||||
\(699\) | 23.4554 | − | 41.9816i | 0.887163 | − | 1.58789i | ||||
\(700\) | −55.9273 | + | 28.1908i | −2.11385 | + | 1.06551i | ||||
\(701\) | −22.5839 | + | 22.5839i | −0.852983 | + | 0.852983i | −0.990499 | − | 0.137517i | \(-0.956088\pi\) |
0.137517 | + | 0.990499i | \(0.456088\pi\) | |||||||
\(702\) | 0.494176 | − | 0.00688623i | 0.0186515 | − | 0.000259904i | ||||
\(703\) | −18.5602 | −0.700011 | ||||||||
\(704\) | 15.9489 | + | 7.35167i | 0.601098 | + | 0.277077i | ||||
\(705\) | −9.03079 | − | 31.8979i | −0.340119 | − | 1.20134i | ||||
\(706\) | 8.22927 | + | 34.6087i | 0.309713 | + | 1.30251i | ||||
\(707\) | −21.2680 | − | 79.3731i | −0.799864 | − | 2.98513i | ||||
\(708\) | 0.536261 | + | 0.584027i | 0.0201539 | + | 0.0219491i | ||||
\(709\) | 7.70727 | − | 28.7639i | 0.289453 | − | 1.08025i | −0.656071 | − | 0.754699i | \(-0.727783\pi\) |
0.945524 | − | 0.325553i | \(-0.105550\pi\) | |||||||
\(710\) | −0.996125 | + | 35.1224i | −0.0373839 | + | 1.31812i | ||||
\(711\) | −19.5854 | + | 36.2455i | −0.734509 | + | 1.35931i | ||||
\(712\) | 4.93324 | − | 4.15805i | 0.184881 | − | 0.155829i | ||||
\(713\) | 12.5685 | − | 7.25642i | 0.470694 | − | 0.271755i | ||||
\(714\) | −0.102632 | − | 0.0290746i | −0.00384089 | − | 0.00108809i | ||||
\(715\) | 0.490951 | − | 0.131550i | 0.0183605 | − | 0.00491969i | ||||
\(716\) | −3.86600 | + | 0.804190i | −0.144479 | + | 0.0300540i | ||||
\(717\) | −7.63273 | + | 4.55140i | −0.285050 | + | 0.169975i | ||||
\(718\) | 2.94464 | − | 9.86215i | 0.109893 | − | 0.368052i | ||||
\(719\) | 39.3171 | 1.46628 | 0.733140 | − | 0.680078i | \(-0.238054\pi\) | ||||
0.733140 | + | 0.680078i | \(0.238054\pi\) | |||||||
\(720\) | −14.0500 | + | 38.8488i | −0.523613 | + | 1.44781i | ||||
\(721\) | −26.6680 | −0.993170 | ||||||||
\(722\) | 1.38586 | − | 4.64151i | 0.0515764 | − | 0.172739i | ||||
\(723\) | 0.0356361 | + | 2.52794i | 0.00132532 | + | 0.0940153i | ||||
\(724\) | 1.05175 | + | 5.05612i | 0.0390882 | + | 0.187909i | ||||
\(725\) | −8.79087 | + | 2.35551i | −0.326485 | + | 0.0874814i | ||||
\(726\) | −3.70969 | − | 14.6788i | −0.137680 | − | 0.544781i | ||||
\(727\) | −26.4795 | + | 15.2880i | −0.982072 | + | 0.566999i | −0.902895 | − | 0.429861i | \(-0.858562\pi\) |
−0.0791766 | + | 0.996861i | \(0.525229\pi\) | |||||||
\(728\) | −0.0738663 | + | 0.866289i | −0.00273767 | + | 0.0321068i | ||||
\(729\) | −26.9035 | + | 2.28082i | −0.996426 | + | 0.0844748i | ||||
\(730\) | 0.965005 | − | 34.0251i | 0.0357164 | − | 1.25933i | ||||
\(731\) | 0.00684745 | − | 0.0255550i | 0.000253262 | − | 0.000945187i | ||||
\(732\) | −8.48781 | − | 38.1018i | −0.313718 | − | 1.40828i | ||||
\(733\) | 5.26522 | + | 19.6501i | 0.194475 | + | 0.725792i | 0.992402 | + | 0.123038i | \(0.0392636\pi\) |
−0.797927 | + | 0.602755i | \(0.794070\pi\) | |||||||
\(734\) | 5.65374 | + | 23.7771i | 0.208683 | + | 0.877630i | ||||
\(735\) | 57.7312 | − | 59.3821i | 2.12945 | − | 2.19034i | ||||
\(736\) | −12.3626 | + | 28.9518i | −0.455692 | + | 1.06718i | ||||
\(737\) | 10.1214 | 0.372827 | ||||||||
\(738\) | −5.50889 | + | 20.5461i | −0.202785 | + | 0.756313i | ||||
\(739\) | −30.6148 | + | 30.6148i | −1.12618 | + | 1.12618i | −0.135393 | + | 0.990792i | \(0.543230\pi\) |
−0.990792 | + | 0.135393i | \(0.956770\pi\) | |||||||
\(740\) | −14.5751 | − | 28.9153i | −0.535790 | − | 1.06295i | ||||
\(741\) | 0.235452 | + | 0.394855i | 0.00864954 | + | 0.0145053i | ||||
\(742\) | 14.0157 | + | 8.63078i | 0.514531 | + | 0.316846i | ||||
\(743\) | −1.59632 | − | 0.921634i | −0.0585632 | − | 0.0338115i | 0.470433 | − | 0.882436i | \(-0.344098\pi\) |
−0.528996 | + | 0.848625i | \(0.677431\pi\) | |||||||
\(744\) | 12.0749 | + | 4.17331i | 0.442689 | + | 0.153001i | ||||
\(745\) | 20.8319 | − | 12.0273i | 0.763221 | − | 0.440646i | ||||
\(746\) | −7.11447 | − | 0.201777i | −0.260479 | − | 0.00738759i | ||||
\(747\) | 10.5422 | + | 35.3288i | 0.385720 | + | 1.29261i | ||||
\(748\) | −0.0312090 | + | 0.0278559i | −0.00114111 | + | 0.00101851i | ||||
\(749\) | 71.1332 | + | 19.0601i | 2.59915 | + | 0.696440i | ||||
\(750\) | −15.6124 | − | 0.222617i | −0.570084 | − | 0.00812881i | ||||
\(751\) | −1.25078 | + | 2.16642i | −0.0456416 | + | 0.0790536i | −0.887944 | − | 0.459952i | \(-0.847867\pi\) |
0.842302 | + | 0.539006i | \(0.181200\pi\) | |||||||
\(752\) | 13.2277 | − | 17.8774i | 0.482366 | − | 0.651922i | ||||
\(753\) | 0.127879 | + | 0.451685i | 0.00466017 | + | 0.0164603i | ||||
\(754\) | −0.0361455 | + | 0.121058i | −0.00131634 | + | 0.00440868i | ||||
\(755\) | 33.1135 | − | 33.1135i | 1.20512 | − | 1.20512i | ||||
\(756\) | 0.684901 | − | 47.4931i | 0.0249096 | − | 1.72731i | ||||
\(757\) | −20.0347 | − | 20.0347i | −0.728173 | − | 0.728173i | 0.242083 | − | 0.970256i | \(-0.422169\pi\) |
−0.970256 | + | 0.242083i | \(0.922169\pi\) | |||||||
\(758\) | 14.4827 | + | 26.8126i | 0.526034 | + | 0.973878i | ||||
\(759\) | −20.3595 | + | 5.76409i | −0.739003 | + | 0.209223i | ||||
\(760\) | −37.8291 | + | 6.75632i | −1.37221 | + | 0.245078i | ||||
\(761\) | −37.9914 | − | 21.9344i | −1.37719 | − | 0.795120i | −0.385369 | − | 0.922763i | \(-0.625926\pi\) |
−0.991820 | + | 0.127642i | \(0.959259\pi\) | |||||||
\(762\) | −17.0334 | − | 17.5262i | −0.617056 | − | 0.634908i | ||||
\(763\) | −19.9520 | + | 74.4617i | −0.722310 | + | 2.69570i | ||||
\(764\) | −1.18470 | + | 20.8688i | −0.0428608 | + | 0.755006i | ||||
\(765\) | −0.0715162 | − | 0.0675934i | −0.00258568 | − | 0.00244385i | ||||
\(766\) | −27.4746 | + | 25.9592i | −0.992699 | + | 0.937943i | ||||
\(767\) | 0.00769689 | + | 0.0133314i | 0.000277919 | + | 0.000481369i | ||||
\(768\) | −26.3845 | + | 8.47681i | −0.952070 | + | 0.305881i | ||||
\(769\) | 16.2595 | − | 28.1622i | 0.586331 | − | 1.01555i | −0.408377 | − | 0.912813i | \(-0.633905\pi\) |
0.994708 | − | 0.102742i | \(-0.0327615\pi\) | |||||||
\(770\) | −11.3000 | − | 47.5229i | −0.407224 | − | 1.71261i | ||||
\(771\) | −47.1384 | + | 28.1086i | −1.69765 | + | 1.01231i | ||||
\(772\) | −43.0300 | + | 21.6897i | −1.54868 | + | 0.780630i | ||||
\(773\) | −7.08821 | − | 7.08821i | −0.254945 | − | 0.254945i | 0.568049 | − | 0.822995i | \(-0.307698\pi\) |
−0.822995 | + | 0.568049i | \(0.807698\pi\) | |||||||
\(774\) | 11.7805 | + | 0.00190933i | 0.423442 | + | 6.86293e-5i | ||||
\(775\) | 17.8679i | 0.641835i | ||||||||
\(776\) | −9.02052 | + | 24.9547i | −0.323818 | + | 0.895822i | ||||
\(777\) | 26.6942 | + | 25.9521i | 0.957649 | + | 0.931025i | ||||
\(778\) | 15.6941 | − | 25.4859i | 0.562661 | − | 0.913715i | ||||
\(779\) | −19.1128 | + | 5.12125i | −0.684786 | + | 0.183488i | ||||
\(780\) | −0.430255 | + | 0.676890i | −0.0154056 | + | 0.0242365i | ||||
\(781\) | −15.3030 | − | 4.10043i | −0.547585 | − | 0.146725i | ||||
\(782\) | −0.0514999 | − | 0.0545064i | −0.00184163 | − | 0.00194914i | ||||
\(783\) | 1.50294 | − | 6.73642i | 0.0537107 | − | 0.240740i | ||||
\(784\) | 55.2009 | + | 6.28763i | 1.97146 | + | 0.224558i | ||||
\(785\) | 29.9876 | + | 51.9401i | 1.07030 | + | 1.85382i | ||||
\(786\) | −0.0128760 | + | 0.0215852i | −0.000459272 | + | 0.000769919i | ||||
\(787\) | 8.61189 | + | 32.1400i | 0.306981 | + | 1.14567i | 0.931227 | + | 0.364440i | \(0.118740\pi\) |
−0.624246 | + | 0.781228i | \(0.714594\pi\) | |||||||
\(788\) | 6.76456 | + | 32.5194i | 0.240978 | + | 1.15846i | ||||
\(789\) | 20.5253 | − | 0.289343i | 0.730721 | − | 0.0103009i | ||||
\(790\) | −31.7749 | − | 58.8267i | −1.13050 | − | 2.09296i | ||||
\(791\) | − | 26.1102i | − | 0.928371i | ||||||
\(792\) | −15.5761 | − | 10.2154i | −0.553471 | − | 0.362988i | ||||
\(793\) | − | 0.757878i | − | 0.0269130i | ||||||
\(794\) | −33.1770 | + | 17.9204i | −1.17741 | + | 0.635970i | ||||
\(795\) | 7.77682 | + | 13.0418i | 0.275816 | + | 0.462545i | ||||
\(796\) | −9.70958 | + | 14.8101i | −0.344147 | + | 0.524929i | ||||
\(797\) | −6.18597 | − | 23.0863i | −0.219118 | − | 0.817760i | −0.984676 | − | 0.174393i | \(-0.944204\pi\) |
0.765558 | − | 0.643367i | \(-0.222463\pi\) | |||||||
\(798\) | 38.5742 | − | 21.5435i | 1.36551 | − | 0.762630i | ||||
\(799\) | 0.0264869 | + | 0.0458766i | 0.000937038 | + | 0.00162300i | ||||
\(800\) | −23.2591 | − | 31.0039i | −0.822333 | − | 1.09615i | ||||
\(801\) | −5.82759 | + | 3.58730i | −0.205908 | + | 0.126751i | ||||
\(802\) | −5.44884 | + | 5.14829i | −0.192405 | + | 0.181792i | ||||
\(803\) | 14.8249 | + | 3.97233i | 0.523161 | + | 0.140180i | ||||
\(804\) | −11.7646 | + | 10.8024i | −0.414905 | + | 0.380971i | ||||
\(805\) | 84.5798 | − | 22.6631i | 2.98105 | − | 0.798769i | ||||
\(806\) | 0.211208 | + | 0.130061i | 0.00743947 | + | 0.00458119i | ||||
\(807\) | 10.3806 | − | 2.93890i | 0.365414 | − | 0.103454i | ||||
\(808\) | 46.0404 | − | 21.5927i | 1.61970 | − | 0.759628i | ||||
\(809\) | 36.2540i | 1.27462i | 0.770606 | + | 0.637312i | \(0.219954\pi\) | ||||
−0.770606 | + | 0.637312i | \(0.780046\pi\) | |||||||
\(810\) | 20.8366 | − | 38.5461i | 0.732122 | − | 1.35437i | ||||
\(811\) | −2.21531 | − | 2.21531i | −0.0777902 | − | 0.0777902i | 0.667141 | − | 0.744931i | \(-0.267518\pi\) |
−0.744931 | + | 0.667141i | \(0.767518\pi\) | |||||||
\(812\) | 11.5313 | + | 3.80225i | 0.404669 | + | 0.133433i | ||||
\(813\) | −7.58084 | − | 4.23546i | −0.265872 | − | 0.148544i | ||||
\(814\) | 14.2044 | − | 3.37752i | 0.497863 | − | 0.118382i | ||||
\(815\) | −19.7641 | + | 34.2324i | −0.692306 | + | 1.19911i | ||||
\(816\) | 0.00654557 | − | 0.0656871i | 0.000229141 | − | 0.00229951i | ||||
\(817\) | 5.47910 | + | 9.49007i | 0.191689 | + | 0.332016i | ||||
\(818\) | 24.9569 | + | 26.4139i | 0.872598 | + | 0.923539i | ||||
\(819\) | 0.213472 | − | 0.897124i | 0.00745932 | − | 0.0313480i | ||||
\(820\) | −22.9875 | − | 25.7545i | −0.802758 | − | 0.899387i | ||||
\(821\) | −6.81787 | + | 25.4446i | −0.237945 | + | 0.888024i | 0.738854 | + | 0.673866i | \(0.235367\pi\) |
−0.976799 | + | 0.214158i | \(0.931299\pi\) | |||||||
\(822\) | −11.0114 | − | 3.11944i | −0.384068 | − | 0.108803i | ||||
\(823\) | −38.4020 | − | 22.1714i | −1.33861 | − | 0.772846i | −0.352007 | − | 0.935997i | \(-0.614501\pi\) |
−0.986601 | + | 0.163152i | \(0.947834\pi\) | |||||||
\(824\) | −2.90161 | − | 16.2463i | −0.101082 | − | 0.565966i | ||||
\(825\) | 6.38724 | − | 25.2563i | 0.222375 | − | 0.879311i | ||||
\(826\) | 1.30169 | − | 0.703099i | 0.0452915 | − | 0.0244639i | ||||
\(827\) | 4.61829 | + | 4.61829i | 0.160594 | + | 0.160594i | 0.782830 | − | 0.622236i | \(-0.213776\pi\) |
−0.622236 | + | 0.782830i | \(0.713776\pi\) | |||||||
\(828\) | 17.5129 | − | 28.4292i | 0.608616 | − | 0.987983i | ||||
\(829\) | 20.8452 | − | 20.8452i | 0.723983 | − | 0.723983i | −0.245431 | − | 0.969414i | \(-0.578929\pi\) |
0.969414 | + | 0.245431i | \(0.0789294\pi\) | |||||||
\(830\) | −57.3311 | − | 17.1179i | −1.98999 | − | 0.594171i | ||||
\(831\) | −8.43329 | + | 8.67446i | −0.292548 | + | 0.300914i | ||||
\(832\) | −0.535784 | + | 0.0492565i | −0.0185750 | + | 0.00170766i | ||||
\(833\) | −0.0661698 | + | 0.114610i | −0.00229265 | + | 0.00397099i | ||||
\(834\) | −12.8530 | − | 7.66706i | −0.445062 | − | 0.265488i | ||||
\(835\) | 35.6448 | + | 9.55100i | 1.23354 | + | 0.330526i | ||||
\(836\) | 0.982042 | − | 17.2990i | 0.0339646 | − | 0.598298i | ||||
\(837\) | −12.0112 | − | 6.27321i | −0.415169 | − | 0.216834i | ||||
\(838\) | 1.50008 | − | 52.8914i | 0.0518194 | − | 1.82710i | ||||
\(839\) | −16.4553 | + | 9.50046i | −0.568099 | + | 0.327992i | −0.756390 | − | 0.654121i | \(-0.773039\pi\) |
0.188291 | + | 0.982113i | \(0.439705\pi\) | |||||||
\(840\) | 63.8549 | + | 43.1778i | 2.20320 | + | 1.48978i | ||||
\(841\) | −23.5867 | − | 13.6178i | −0.813336 | − | 0.469580i | ||||
\(842\) | −12.5210 | + | 20.3330i | −0.431502 | + | 0.700723i | ||||
\(843\) | −30.8413 | + | 0.434766i | −1.06223 | + | 0.0149741i | ||||
\(844\) | 14.9432 | − | 45.3189i | 0.514365 | − | 1.55994i | ||||
\(845\) | 31.6349 | − | 31.6349i | 1.08827 | − | 1.08827i | ||||
\(846\) | −16.6820 | + | 16.6766i | −0.573538 | + | 0.573352i | ||||
\(847\) | −28.2503 | −0.970691 | ||||||||
\(848\) | −3.73294 | + | 9.47748i | −0.128190 | + | 0.325458i | ||||
\(849\) | 21.3120 | + | 5.38974i | 0.731426 | + | 0.184976i | ||||
\(850\) | 0.0898193 | − | 0.0213573i | 0.00308078 | − | 0.000732549i | ||||
\(851\) | 6.77390 | + | 25.2805i | 0.232206 | + | 0.866605i | ||||
\(852\) | 22.1637 | − | 11.5665i | 0.759317 | − | 0.396262i | ||||
\(853\) | 1.07402 | − | 4.00831i | 0.0367739 | − | 0.137242i | −0.945098 | − | 0.326786i | \(-0.894034\pi\) |
0.981872 | + | 0.189544i | \(0.0607010\pi\) | |||||||
\(854\) | −72.8075 | − | 2.06493i | −2.49142 | − | 0.0706606i | ||||
\(855\) | 40.7426 | − | 1.14891i | 1.39337 | − | 0.0392920i | ||||
\(856\) | −3.87187 | + | 45.4085i | −0.132338 | + | 1.55203i | ||||
\(857\) | 31.7416 | − | 18.3260i | 1.08427 | − | 0.626005i | 0.152227 | − | 0.988346i | \(-0.451356\pi\) |
0.932046 | + | 0.362341i | \(0.118022\pi\) | |||||||
\(858\) | −0.252049 | − | 0.259341i | −0.00860481 | − | 0.00885375i | ||||
\(859\) | −39.7072 | + | 10.6395i | −1.35479 | + | 0.363015i | −0.861901 | − | 0.507076i | \(-0.830726\pi\) |
−0.492890 | + | 0.870091i | \(0.664060\pi\) | |||||||
\(860\) | −10.4821 | + | 15.9884i | −0.357437 | + | 0.545201i | ||||
\(861\) | 34.6498 | + | 19.3591i | 1.18086 | + | 0.659755i | ||||
\(862\) | 47.7948 | + | 14.2706i | 1.62790 | + | 0.486058i | ||||
\(863\) | −31.7020 | −1.07915 | −0.539574 | − | 0.841938i | \(-0.681415\pi\) | ||||
−0.539574 | + | 0.841938i | \(0.681415\pi\) | |||||||
\(864\) | 29.0075 | − | 4.75022i | 0.986855 | − | 0.161606i | ||||
\(865\) | −20.5959 | −0.700283 | ||||||||
\(866\) | −55.1417 | − | 16.4642i | −1.87379 | − | 0.559476i | ||||
\(867\) | −25.7048 | − | 14.3615i | −0.872982 | − | 0.487741i | ||||
\(868\) | 13.0701 | − | 19.9358i | 0.443627 | − | 0.676666i | ||||
\(869\) | 29.1195 | − | 7.80253i | 0.987810 | − | 0.264683i | ||||
\(870\) | 7.80663 | + | 8.03248i | 0.264670 | + | 0.272327i | ||||
\(871\) | −0.268547 | + | 0.155046i | −0.00909936 | + | 0.00525352i | ||||
\(872\) | −47.5333 | − | 4.05305i | −1.60968 | − | 0.137253i | ||||
\(873\) | 13.3797 | − | 24.7610i | 0.452833 | − | 0.838032i | ||||
\(874\) | 31.0472 | + | 0.880546i | 1.05019 | + | 0.0297849i | ||||
\(875\) | −7.54046 | + | 28.1414i | −0.254914 | + | 0.951352i | ||||
\(876\) | −21.4713 | + | 11.2052i | −0.725449 | + | 0.378587i | ||||
\(877\) | 5.31917 | + | 19.8514i | 0.179616 | + | 0.670335i | 0.995719 | + | 0.0924294i | \(0.0294632\pi\) |
−0.816103 | + | 0.577906i | \(0.803870\pi\) | |||||||
\(878\) | −18.7424 | + | 4.45657i | −0.632524 | + | 0.150402i | ||||
\(879\) | 22.7319 | + | 5.74883i | 0.766728 | + | 0.193903i | ||||
\(880\) | 27.7216 | − | 12.0547i | 0.934496 | − | 0.406365i | ||||
\(881\) | 36.0840 | 1.21570 | 0.607850 | − | 0.794052i | \(-0.292032\pi\) | ||||
0.607850 | + | 0.794052i | \(0.292032\pi\) | |||||||
\(882\) | −56.9176 | − | 15.2609i | −1.91651 | − | 0.513861i | ||||
\(883\) | 28.2105 | − | 28.2105i | 0.949358 | − | 0.949358i | −0.0494198 | − | 0.998778i | \(-0.515737\pi\) |
0.998778 | + | 0.0494198i | \(0.0157372\pi\) | |||||||
\(884\) | 0.000401341 | − | 0.00121717i | 1.34986e−5 | − | 4.09378e-5i | ||||
\(885\) | 1.36466 | − | 0.0192374i | 0.0458725 | − | 0.000646659i | ||||
\(886\) | 7.48792 | − | 12.1598i | 0.251562 | − | 0.408515i | ||||
\(887\) | −13.2260 | − | 7.63604i | −0.444086 | − | 0.256393i | 0.261243 | − | 0.965273i | \(-0.415867\pi\) |
−0.705329 | + | 0.708880i | \(0.749201\pi\) | |||||||
\(888\) | −12.9057 | + | 19.0859i | −0.433085 | + | 0.640482i | ||||
\(889\) | −39.4927 | + | 22.8011i | −1.32454 | + | 0.764726i | ||||
\(890\) | 0.314845 | − | 11.1011i | 0.0105536 | − | 0.372111i | ||||
\(891\) | 14.7354 | + | 13.1608i | 0.493654 | + | 0.440904i | ||||
\(892\) | 2.16592 | − | 38.1533i | 0.0725202 | − | 1.27747i | ||||
\(893\) | −21.1939 | − | 5.67888i | −0.709226 | − | 0.190037i | ||||
\(894\) | −14.6988 | − | 8.76812i | −0.491601 | − | 0.293250i | ||||
\(895\) | −3.39851 | + | 5.88639i | −0.113600 | + | 0.196760i | ||||
\(896\) | 3.27214 | + | 51.6056i | 0.109314 | + | 1.72402i | ||||
\(897\) | 0.451892 | − | 0.464815i | 0.0150882 | − | 0.0155197i | ||||
\(898\) | 7.09689 | + | 2.11899i | 0.236826 | + | 0.0707116i | ||||
\(899\) | 2.44942 | − | 2.44942i | 0.0816926 | − | 0.0816926i | ||||
\(900\) | 19.5314 | + | 36.1736i | 0.651046 | + | 1.20579i | ||||
\(901\) | −0.0171569 | − | 0.0171569i | −0.000571580 | − | 0.000571580i | ||||
\(902\) | 13.6953 | − | 7.39744i | 0.456004 | − | 0.246308i | ||||
\(903\) | 5.38932 | − | 21.3103i | 0.179345 | − | 0.709163i | ||||
\(904\) | 15.9064 | − | 2.84090i | 0.529040 | − | 0.0944871i | ||||
\(905\) | 7.69848 | + | 4.44472i | 0.255906 | + | 0.147747i | ||||
\(906\) | −32.0585 | − | 9.08188i | −1.06507 | − | 0.301725i | ||||
\(907\) | 1.31620 | − | 4.91214i | 0.0437038 | − | 0.163105i | −0.940625 | − | 0.339447i | \(-0.889760\pi\) |
0.984329 | + | 0.176342i | \(0.0564266\pi\) | |||||||
\(908\) | −0.107975 | − | 0.120972i | −0.00358328 | − | 0.00401460i | ||||
\(909\) | −51.6850 | + | 15.4230i | −1.71428 | + | 0.511548i | ||||
\(910\) | 1.02780 | + | 1.08780i | 0.0340713 | + | 0.0360603i | ||||
\(911\) | −1.04628 | − | 1.81220i | −0.0346647 | − | 0.0600410i | 0.848173 | − | 0.529720i | \(-0.177703\pi\) |
−0.882837 | + | 0.469679i | \(0.844370\pi\) | |||||||
\(912\) | 17.3214 | + | 21.1556i | 0.573570 | + | 0.700531i | ||||
\(913\) | 13.4890 | − | 23.3636i | 0.446419 | − | 0.773221i | ||||
\(914\) | 4.82056 | − | 1.14624i | 0.159450 | − | 0.0379141i | ||||
\(915\) | −58.6583 | − | 32.7727i | −1.93918 | − | 1.08343i | ||||
\(916\) | −6.67624 | − | 2.20138i | −0.220589 | − | 0.0727357i | ||||
\(917\) | 0.0331614 | + | 0.0331614i | 0.00109509 | + | 0.00109509i | ||||
\(918\) | −0.0171776 | + | 0.0678769i | −0.000566945 | + | 0.00224027i | ||||
\(919\) | 11.8733i | 0.391666i | 0.980637 | + | 0.195833i | \(0.0627410\pi\) | ||||
−0.980637 | + | 0.195833i | \(0.937259\pi\) | |||||||
\(920\) | 23.0091 | + | 49.0606i | 0.758589 | + | 1.61748i | ||||
\(921\) | 7.75156 | − | 2.19459i | 0.255423 | − | 0.0723141i | ||||
\(922\) | 40.0331 | + | 24.6522i | 1.31842 | + | 0.811877i | ||||
\(923\) | 0.468841 | − | 0.125626i | 0.0154321 | − | 0.00413502i | ||||
\(924\) | −25.6010 | + | 23.5071i | −0.842210 | + | 0.773327i | ||||
\(925\) | −31.1249 | − | 8.33989i | −1.02338 | − | 0.274214i | ||||
\(926\) | −30.1816 | + | 28.5168i | −0.991829 | + | 0.937121i | ||||
\(927\) | 0.493418 | + | 17.4975i | 0.0162060 | + | 0.574694i | ||||
\(928\) | −1.06169 | + | 7.43861i | −0.0348517 | + | 0.244184i | ||||
\(929\) | 3.14107 | + | 5.44050i | 0.103055 | + | 0.178497i | 0.912942 | − | 0.408089i | \(-0.133805\pi\) |
−0.809887 | + | 0.586586i | \(0.800471\pi\) | |||||||
\(930\) | 19.1996 | − | 10.7229i | 0.629581 | − | 0.351617i | ||||
\(931\) | −14.1871 | − | 52.9468i | −0.464962 | − | 1.73526i | ||||
\(932\) | 30.4455 | − | 46.4386i | 0.997275 | − | 1.52115i | ||||
\(933\) | −22.4275 | − | 37.6111i | −0.734243 | − | 1.23133i | ||||
\(934\) | −13.9140 | + | 7.51555i | −0.455279 | + | 0.245916i | ||||
\(935\) | 0.0720065i | 0.00235487i | ||||||||
\(936\) | 0.569758 | + | 0.0324371i | 0.0186231 | + | 0.00106024i | ||||
\(937\) | − | 2.77088i | − | 0.0905208i | −0.998975 | − | 0.0452604i | \(-0.985588\pi\) | ||
0.998975 | − | 0.0452604i | \(-0.0144117\pi\) | |||||||
\(938\) | 14.1632 | + | 26.2211i | 0.462444 | + | 0.856149i | ||||
\(939\) | −7.80931 | + | 0.110087i | −0.254847 | + | 0.00359255i | ||||
\(940\) | −7.79602 | − | 37.4779i | −0.254278 | − | 1.22240i | ||||
\(941\) | −0.268694 | − | 1.00278i | −0.00875919 | − | 0.0326897i | 0.961408 | − | 0.275127i | \(-0.0887199\pi\) |
−0.970167 | + | 0.242437i | \(0.922053\pi\) | |||||||
\(942\) | 21.8615 | − | 36.6484i | 0.712287 | − | 1.19407i | ||||
\(943\) | 13.9511 | + | 24.1641i | 0.454311 | + | 0.786890i | ||||
\(944\) | 0.569960 | + | 0.716493i | 0.0185506 | + | 0.0233199i | ||||
\(945\) | −60.2045 | − | 55.3164i | −1.95845 | − | 1.79944i | ||||
\(946\) | −5.92020 | − | 6.26581i | −0.192482 | − | 0.203719i | ||||
\(947\) | −29.0835 | − | 7.79291i | −0.945088 | − | 0.253236i | −0.246811 | − | 0.969064i | \(-0.579383\pi\) |
−0.698277 | + | 0.715828i | \(0.746049\pi\) | |||||||
\(948\) | −25.5194 | + | 40.1479i | −0.828833 | + | 1.30394i | ||||
\(949\) | −0.454194 | + | 0.121701i | −0.0147438 | + | 0.00395058i | ||||
\(950\) | −20.0512 | + | 32.5615i | −0.650547 | + | 1.05643i | ||||
\(951\) | −3.37781 | − | 3.28390i | −0.109533 | − | 0.106488i | ||||
\(952\) | −0.115837 | − | 0.0418722i | −0.00375429 | − | 0.00135709i | ||||
\(953\) | − | 29.6429i | − | 0.960227i | −0.877206 | − | 0.480113i | \(-0.840596\pi\) | ||
0.877206 | − | 0.480113i | \(-0.159404\pi\) | |||||||
\(954\) | 5.40353 | − | 9.35569i | 0.174946 | − | 0.302902i | ||||
\(955\) | 25.4413 | + | 25.4413i | 0.823262 | + | 0.823262i | ||||
\(956\) | −9.16324 | + | 4.61883i | −0.296360 | + | 0.149384i | ||||
\(957\) | −4.33783 | + | 2.58665i | −0.140222 | + | 0.0836146i | ||||
\(958\) | −3.70982 | − | 15.6019i | −0.119859 | − | 0.504073i | ||||
\(959\) | −10.6774 | + | 18.4938i | −0.344791 | + | 0.597195i | ||||
\(960\) | −19.3564 | + | 43.5986i | −0.624726 | + | 1.40714i | ||||
\(961\) | 12.0996 | + | 20.9571i | 0.390309 | + | 0.676035i | ||||
\(962\) | −0.325140 | + | 0.307205i | −0.0104829 | + | 0.00990470i | ||||
\(963\) | 11.1896 | − | 47.0247i | 0.360581 | − | 1.51535i | ||||
\(964\) | −0.165459 | + | 2.91462i | −0.00532908 | + | 0.0938735i | ||||
\(965\) | −21.4678 | + | 80.1190i | −0.691074 | + | 2.57912i | ||||
\(966\) | −43.4224 | − | 44.6786i | −1.39709 | − | 1.43751i | ||||
\(967\) | −5.94486 | − | 3.43226i | −0.191174 | − | 0.110374i | 0.401358 | − | 0.915921i | \(-0.368538\pi\) |
−0.592532 | + | 0.805547i | \(0.701872\pi\) | |||||||
\(968\) | −3.07376 | − | 17.2102i | −0.0987943 | − | 0.553156i | ||||
\(969\) | −0.0626663 | + | 0.0177418i | −0.00201313 | + | 0.000569948i | ||||
\(970\) | 21.7069 | + | 40.1872i | 0.696966 | + | 1.29033i | ||||
\(971\) | 21.8370 | + | 21.8370i | 0.700784 | + | 0.700784i | 0.964579 | − | 0.263795i | \(-0.0849742\pi\) |
−0.263795 | + | 0.964579i | \(0.584974\pi\) | |||||||
\(972\) | −31.1740 | + | 0.429348i | −0.999905 | + | 0.0137713i | ||||
\(973\) | −19.7460 | + | 19.7460i | −0.633029 | + | 0.633029i | ||||
\(974\) | −11.3247 | + | 37.9287i | −0.362868 | + | 1.21531i | ||||
\(975\) | 0.217421 | + | 0.767958i | 0.00696304 | + | 0.0245943i | ||||
\(976\) | −6.66382 | − | 44.5793i | −0.213304 | − | 1.42695i | ||||
\(977\) | −4.93463 | + | 8.54704i | −0.157873 | + | 0.273444i | −0.934101 | − | 0.357008i | \(-0.883797\pi\) |
0.776228 | + | 0.630452i | \(0.217130\pi\) | |||||||
\(978\) | 28.1222 | + | 0.400994i | 0.899250 | + | 0.0128224i | ||||
\(979\) | 4.83683 | + | 1.29602i | 0.154586 | + | 0.0414211i | ||||
\(980\) | 71.3461 | − | 63.6808i | 2.27907 | − | 2.03421i | ||||
\(981\) | 49.2252 | + | 11.7132i | 1.57164 | + | 0.373975i | ||||
\(982\) | −18.4799 | − | 0.524119i | −0.589718 | − | 0.0167253i | ||||
\(983\) | 31.0817 | − | 17.9450i | 0.991351 | − | 0.572357i | 0.0856731 | − | 0.996323i | \(-0.472696\pi\) |
0.905678 | + | 0.423967i | \(0.139363\pi\) | |||||||
\(984\) | −8.02356 | + | 23.2152i | −0.255782 | + | 0.740072i | ||||
\(985\) | 49.5143 | + | 28.5871i | 1.57766 | + | 0.910860i | ||||
\(986\) | −0.0152406 | − | 0.00938508i | −0.000485359 | − | 0.000298882i | ||||
\(987\) | 22.5415 | + | 37.8023i | 0.717505 | + | 1.20326i | ||||
\(988\) | 0.238940 | + | 0.474030i | 0.00760169 | + | 0.0150809i | ||||
\(989\) | 10.9266 | − | 10.9266i | 0.347445 | − | 0.347445i | ||||
\(990\) | −30.9718 | + | 8.29348i | −0.984347 | + | 0.263584i | ||||
\(991\) | 20.3758 | 0.647258 | 0.323629 | − | 0.946184i | \(-0.395097\pi\) | ||||
0.323629 | + | 0.946184i | \(0.395097\pi\) | |||||||
\(992\) | 13.5671 | + | 5.79324i | 0.430755 | + | 0.183935i | ||||
\(993\) | −37.5205 | + | 38.5935i | −1.19068 | + | 1.22473i | ||||
\(994\) | −10.7911 | − | 45.3827i | −0.342274 | − | 1.43945i | ||||
\(995\) | 7.88956 | + | 29.4442i | 0.250116 | + | 0.933445i | ||||
\(996\) | 9.25664 | + | 41.5531i | 0.293308 | + | 1.31666i | ||||
\(997\) | 10.4098 | − | 38.8498i | 0.329680 | − | 1.23038i | −0.579842 | − | 0.814729i | \(-0.696886\pi\) |
0.909522 | − | 0.415655i | \(-0.136448\pi\) | |||||||
\(998\) | 0.605528 | − | 21.3503i | 0.0191676 | − | 0.675832i | ||||
\(999\) | 16.5338 | − | 17.9948i | 0.523107 | − | 0.569332i |
(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 | 144.2.x.e.85.3 | yes | 72 | |
3.2 | odd | 2 | 432.2.y.e.37.16 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.49.2 | 72 | |||
9.2 | odd | 6 | 432.2.y.e.181.9 | 72 | |||
9.7 | even | 3 | inner | 144.2.x.e.133.10 | yes | 72 | |
12.11 | even | 2 | 1728.2.bc.e.1009.1 | 72 | |||
16.3 | odd | 4 | 576.2.bb.e.337.13 | 72 | |||
16.13 | even | 4 | inner | 144.2.x.e.13.10 | ✓ | 72 | |
36.7 | odd | 6 | 576.2.bb.e.241.13 | 72 | |||
36.11 | even | 6 | 1728.2.bc.e.1585.18 | 72 | |||
48.29 | odd | 4 | 432.2.y.e.253.9 | 72 | |||
48.35 | even | 4 | 1728.2.bc.e.145.18 | 72 | |||
144.29 | odd | 12 | 432.2.y.e.397.16 | 72 | |||
144.61 | even | 12 | inner | 144.2.x.e.61.3 | yes | 72 | |
144.83 | even | 12 | 1728.2.bc.e.721.1 | 72 | |||
144.115 | odd | 12 | 576.2.bb.e.529.2 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.10 | ✓ | 72 | 16.13 | even | 4 | inner | |
144.2.x.e.61.3 | yes | 72 | 144.61 | even | 12 | inner | |
144.2.x.e.85.3 | yes | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.133.10 | yes | 72 | 9.7 | even | 3 | inner | |
432.2.y.e.37.16 | 72 | 3.2 | odd | 2 | |||
432.2.y.e.181.9 | 72 | 9.2 | odd | 6 | |||
432.2.y.e.253.9 | 72 | 48.29 | odd | 4 | |||
432.2.y.e.397.16 | 72 | 144.29 | odd | 12 | |||
576.2.bb.e.49.2 | 72 | 4.3 | odd | 2 | |||
576.2.bb.e.241.13 | 72 | 36.7 | odd | 6 | |||
576.2.bb.e.337.13 | 72 | 16.3 | odd | 4 | |||
576.2.bb.e.529.2 | 72 | 144.115 | odd | 12 | |||
1728.2.bc.e.145.18 | 72 | 48.35 | even | 4 | |||
1728.2.bc.e.721.1 | 72 | 144.83 | even | 12 | |||
1728.2.bc.e.1009.1 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.1585.18 | 72 | 36.11 | even | 6 |