Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [770,2,Mod(3,770)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(770, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([45, 10, 48]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("770.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 770.bv (of order \(60\), degree \(16\), 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: | \(6.14848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(768\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 157.7 | ||
Character | \(\chi\) | \(=\) | 770.157 |
Dual form | 770.2.bv.a.103.7 |
$q$-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 \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(617\) | \(661\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.358368 | − | 0.933580i | −0.253404 | − | 0.660141i | ||||
\(3\) | −0.907018 | − | 1.39668i | −0.523667 | − | 0.806376i | 0.473563 | − | 0.880760i | \(-0.342968\pi\) |
−0.997230 | + | 0.0743837i | \(0.976301\pi\) | |||||||
\(4\) | −0.743145 | + | 0.669131i | −0.371572 | + | 0.334565i | ||||
\(5\) | 1.00738 | + | 1.99629i | 0.450514 | + | 0.892770i | ||||
\(6\) | −0.978872 | + | 1.34730i | −0.399623 | + | 0.550033i | ||||
\(7\) | 2.13291 | + | 1.56547i | 0.806164 | + | 0.591693i | ||||
\(8\) | 0.891007 | + | 0.453990i | 0.315018 | + | 0.160510i | ||||
\(9\) | 0.0921626 | − | 0.207001i | 0.0307209 | − | 0.0690002i | ||||
\(10\) | 1.50269 | − | 1.65588i | 0.475192 | − | 0.523634i | ||||
\(11\) | −3.26107 | + | 0.604526i | −0.983248 | + | 0.182271i | ||||
\(12\) | 1.60861 | + | 0.431026i | 0.464366 | + | 0.124426i | ||||
\(13\) | −2.67775 | − | 0.424114i | −0.742675 | − | 0.117628i | −0.226380 | − | 0.974039i | \(-0.572689\pi\) |
−0.516295 | + | 0.856411i | \(0.672689\pi\) | |||||||
\(14\) | 0.697128 | − | 2.55226i | 0.186315 | − | 0.682119i | ||||
\(15\) | 1.87448 | − | 3.21766i | 0.483989 | − | 0.830797i | ||||
\(16\) | 0.104528 | − | 0.994522i | 0.0261321 | − | 0.248630i | ||||
\(17\) | −2.59774 | + | 6.76735i | −0.630046 | + | 1.64132i | 0.130046 | + | 0.991508i | \(0.458488\pi\) |
−0.760091 | + | 0.649817i | \(0.774846\pi\) | |||||||
\(18\) | −0.226280 | − | 0.0118588i | −0.0533347 | − | 0.00279515i | ||||
\(19\) | −3.60549 | + | 4.00431i | −0.827157 | + | 0.918651i | −0.997774 | − | 0.0666868i | \(-0.978757\pi\) |
0.170617 | + | 0.985337i | \(0.445424\pi\) | |||||||
\(20\) | −2.08441 | − | 0.809467i | −0.466088 | − | 0.181002i | ||||
\(21\) | 0.251886 | − | 4.39891i | 0.0549659 | − | 0.959921i | ||||
\(22\) | 1.73303 | + | 2.82782i | 0.369484 | + | 0.602894i | ||||
\(23\) | 0.670055 | + | 0.179541i | 0.139716 | + | 0.0374368i | 0.327999 | − | 0.944678i | \(-0.393626\pi\) |
−0.188283 | + | 0.982115i | \(0.560292\pi\) | |||||||
\(24\) | −0.174077 | − | 1.65623i | −0.0355333 | − | 0.338077i | ||||
\(25\) | −2.97038 | + | 4.02205i | −0.594075 | + | 0.804410i | ||||
\(26\) | 0.563676 | + | 2.65189i | 0.110546 | + | 0.520078i | ||||
\(27\) | −5.30726 | + | 0.840588i | −1.02138 | + | 0.161771i | ||||
\(28\) | −2.63256 | + | 0.263822i | −0.497508 | + | 0.0498576i | ||||
\(29\) | 4.04700 | + | 1.31495i | 0.751509 | + | 0.244180i | 0.659630 | − | 0.751590i | \(-0.270713\pi\) |
0.0918786 | + | 0.995770i | \(0.470713\pi\) | |||||||
\(30\) | −3.67570 | − | 0.596872i | −0.671088 | − | 0.108973i | ||||
\(31\) | −4.35187 | + | 0.457400i | −0.781618 | + | 0.0821514i | −0.486929 | − | 0.873442i | \(-0.661883\pi\) |
−0.294689 | + | 0.955593i | \(0.595216\pi\) | |||||||
\(32\) | −0.965926 | + | 0.258819i | −0.170753 | + | 0.0457532i | ||||
\(33\) | 3.80218 | + | 4.00637i | 0.661874 | + | 0.697419i | ||||
\(34\) | 7.24882 | 1.24316 | ||||||||
\(35\) | −0.976495 | + | 5.83493i | −0.165058 | + | 0.986284i | ||||
\(36\) | 0.0700203 | + | 0.215500i | 0.0116700 | + | 0.0359167i | ||||
\(37\) | −5.55132 | − | 3.60507i | −0.912631 | − | 0.592670i | 0.000649914 | − | 1.00000i | \(-0.499793\pi\) |
−0.913281 | + | 0.407330i | \(0.866460\pi\) | |||||||
\(38\) | 5.03043 | + | 1.93100i | 0.816044 | + | 0.313250i | ||||
\(39\) | 1.83642 | + | 4.12466i | 0.294062 | + | 0.660474i | ||||
\(40\) | −0.00871699 | + | 2.23605i | −0.00137828 | + | 0.353551i | ||||
\(41\) | 6.92798 | − | 2.25104i | 1.08197 | − | 0.351553i | 0.286830 | − | 0.957981i | \(-0.407398\pi\) |
0.795138 | + | 0.606428i | \(0.207398\pi\) | |||||||
\(42\) | −4.19701 | + | 1.34127i | −0.647612 | + | 0.206963i | ||||
\(43\) | −5.74428 | + | 5.74428i | −0.875995 | + | 0.875995i | −0.993117 | − | 0.117123i | \(-0.962633\pi\) |
0.117123 | + | 0.993117i | \(0.462633\pi\) | |||||||
\(44\) | 2.01894 | − | 2.63133i | 0.304366 | − | 0.396688i | ||||
\(45\) | 0.506076 | − | 0.0245444i | 0.0754414 | − | 0.00365887i | ||||
\(46\) | −0.0725106 | − | 0.689892i | −0.0106911 | − | 0.101719i | ||||
\(47\) | −0.266774 | − | 5.09035i | −0.0389130 | − | 0.742505i | −0.946512 | − | 0.322667i | \(-0.895420\pi\) |
0.907599 | − | 0.419837i | \(-0.137913\pi\) | |||||||
\(48\) | −1.48384 | + | 0.756056i | −0.214174 | + | 0.109127i | ||||
\(49\) | 2.09859 | + | 6.67802i | 0.299799 | + | 0.954002i | ||||
\(50\) | 4.81939 | + | 1.33171i | 0.681565 | + | 0.188332i | ||||
\(51\) | 11.8081 | − | 2.50988i | 1.65346 | − | 0.351454i | ||||
\(52\) | 2.27375 | − | 1.47659i | 0.315312 | − | 0.204766i | ||||
\(53\) | 1.11175 | + | 0.900278i | 0.152711 | + | 0.123663i | 0.702631 | − | 0.711554i | \(-0.252009\pi\) |
−0.549920 | + | 0.835217i | \(0.685342\pi\) | |||||||
\(54\) | 2.68671 | + | 4.65352i | 0.365615 | + | 0.633264i | ||||
\(55\) | −4.49194 | − | 5.90106i | −0.605693 | − | 0.795698i | ||||
\(56\) | 1.18973 | + | 2.36317i | 0.158984 | + | 0.315791i | ||||
\(57\) | 8.86300 | + | 1.40376i | 1.17393 | + | 0.185933i | ||||
\(58\) | −0.222703 | − | 4.24944i | −0.0292424 | − | 0.557978i | ||||
\(59\) | 0.117426 | + | 0.130415i | 0.0152876 | + | 0.0169785i | 0.750740 | − | 0.660598i | \(-0.229697\pi\) |
−0.735453 | + | 0.677576i | \(0.763030\pi\) | |||||||
\(60\) | 0.760026 | + | 3.64546i | 0.0981189 | + | 0.470627i | ||||
\(61\) | 12.0193 | + | 1.26328i | 1.53891 | + | 0.161746i | 0.835681 | − | 0.549215i | \(-0.185073\pi\) |
0.703231 | + | 0.710961i | \(0.251740\pi\) | |||||||
\(62\) | 1.98659 | + | 3.89890i | 0.252297 | + | 0.495161i | ||||
\(63\) | 0.520628 | − | 0.297235i | 0.0655929 | − | 0.0374481i | ||||
\(64\) | 0.587785 | + | 0.809017i | 0.0734732 | + | 0.101127i | ||||
\(65\) | −1.85086 | − | 5.77282i | −0.229570 | − | 0.716031i | ||||
\(66\) | 2.37769 | − | 4.98539i | 0.292673 | − | 0.613659i | ||||
\(67\) | 2.98794 | − | 0.800616i | 0.365035 | − | 0.0978108i | −0.0716391 | − | 0.997431i | \(-0.522823\pi\) |
0.436674 | + | 0.899620i | \(0.356156\pi\) | |||||||
\(68\) | −2.59774 | − | 6.76735i | −0.315023 | − | 0.820662i | ||||
\(69\) | −0.356990 | − | 1.09870i | −0.0429765 | − | 0.132268i | ||||
\(70\) | 5.79732 | − | 1.17942i | 0.692913 | − | 0.140967i | ||||
\(71\) | 6.84431 | + | 4.97268i | 0.812270 | + | 0.590149i | 0.914488 | − | 0.404613i | \(-0.132594\pi\) |
−0.102218 | + | 0.994762i | \(0.532594\pi\) | |||||||
\(72\) | 0.176094 | − | 0.142598i | 0.0207528 | − | 0.0168053i | ||||
\(73\) | −0.808400 | + | 15.4252i | −0.0946161 | + | 1.80538i | 0.379786 | + | 0.925074i | \(0.375998\pi\) |
−0.474402 | + | 0.880308i | \(0.657336\pi\) | |||||||
\(74\) | −1.37621 | + | 6.47454i | −0.159981 | + | 0.752650i | ||||
\(75\) | 8.31172 | + | 0.500609i | 0.959754 | + | 0.0578053i | ||||
\(76\) | − | 5.38832i | − | 0.618083i | ||||||
\(77\) | −7.90192 | − | 3.81571i | −0.900508 | − | 0.434840i | ||||
\(78\) | 3.19259 | − | 3.19259i | 0.361489 | − | 0.361489i | ||||
\(79\) | 3.52302 | − | 7.91282i | 0.396370 | − | 0.890262i | −0.599576 | − | 0.800317i | \(-0.704664\pi\) |
0.995947 | − | 0.0899447i | \(-0.0286690\pi\) | |||||||
\(80\) | 2.09066 | − | 0.793191i | 0.233743 | − | 0.0886814i | ||||
\(81\) | 5.53296 | + | 6.14498i | 0.614774 | + | 0.682776i | ||||
\(82\) | −4.58429 | − | 5.66113i | −0.506250 | − | 0.625167i | ||||
\(83\) | −2.65409 | − | 16.7573i | −0.291324 | − | 1.83935i | −0.505838 | − | 0.862629i | \(-0.668816\pi\) |
0.214513 | − | 0.976721i | \(-0.431184\pi\) | |||||||
\(84\) | 2.75626 | + | 3.43757i | 0.300732 | + | 0.375070i | ||||
\(85\) | −16.1265 | + | 1.63143i | −1.74917 | + | 0.176954i | ||||
\(86\) | 7.42132 | + | 3.30418i | 0.800261 | + | 0.356299i | ||||
\(87\) | −1.83413 | − | 6.84507i | −0.196639 | − | 0.733868i | ||||
\(88\) | −3.18008 | − | 0.941856i | −0.338998 | − | 0.100402i | ||||
\(89\) | 0.366866 | + | 0.635431i | 0.0388877 | + | 0.0673555i | 0.884814 | − | 0.465944i | \(-0.154285\pi\) |
−0.845926 | + | 0.533300i | \(0.820952\pi\) | |||||||
\(90\) | −0.204276 | − | 0.463667i | −0.0215326 | − | 0.0488748i | ||||
\(91\) | −5.04746 | − | 5.09654i | −0.529118 | − | 0.534263i | ||||
\(92\) | −0.618084 | + | 0.314930i | −0.0644397 | + | 0.0328337i | ||||
\(93\) | 4.58606 | + | 5.66332i | 0.475553 | + | 0.587258i | ||||
\(94\) | −4.65665 | + | 2.07328i | −0.480297 | + | 0.213842i | ||||
\(95\) | −11.6259 | − | 3.16377i | −1.19279 | − | 0.324596i | ||||
\(96\) | 1.23760 | + | 1.11434i | 0.126312 | + | 0.113732i | ||||
\(97\) | −2.14514 | + | 13.5439i | −0.217806 | + | 1.37517i | 0.600149 | + | 0.799888i | \(0.295108\pi\) |
−0.817954 | + | 0.575283i | \(0.804892\pi\) | |||||||
\(98\) | 5.48240 | − | 4.35239i | 0.553806 | − | 0.439658i | ||||
\(99\) | −0.175411 | + | 0.730757i | −0.0176295 | + | 0.0734438i | ||||
\(100\) | −0.483857 | − | 4.97653i | −0.0483857 | − | 0.497653i | ||||
\(101\) | 2.01523 | − | 0.211809i | 0.200522 | − | 0.0210758i | −0.00373470 | − | 0.999993i | \(-0.501189\pi\) |
0.204257 | + | 0.978917i | \(0.434522\pi\) | |||||||
\(102\) | −6.57481 | − | 10.1243i | −0.651003 | − | 1.00246i | ||||
\(103\) | 9.73886 | + | 6.32449i | 0.959599 | + | 0.623171i | 0.926505 | − | 0.376282i | \(-0.122797\pi\) |
0.0330933 | + | 0.999452i | \(0.489464\pi\) | |||||||
\(104\) | −2.19335 | − | 1.59356i | −0.215076 | − | 0.156262i | ||||
\(105\) | 9.03526 | − | 3.92853i | 0.881751 | − | 0.383386i | ||||
\(106\) | 0.442066 | − | 1.36054i | 0.0429373 | − | 0.132147i | ||||
\(107\) | −10.1389 | + | 0.531357i | −0.980165 | + | 0.0513682i | −0.535682 | − | 0.844419i | \(-0.679946\pi\) |
−0.444482 | + | 0.895788i | \(0.646612\pi\) | |||||||
\(108\) | 3.38160 | − | 4.17593i | 0.325395 | − | 0.401829i | ||||
\(109\) | −3.99177 | − | 2.30465i | −0.382343 | − | 0.220746i | 0.296494 | − | 0.955035i | \(-0.404182\pi\) |
−0.678837 | + | 0.734289i | \(0.737516\pi\) | |||||||
\(110\) | −3.89934 | + | 6.30834i | −0.371788 | + | 0.601476i | ||||
\(111\) | 11.0233i | 1.04629i | ||||||||
\(112\) | 1.77985 | − | 1.95759i | 0.168180 | − | 0.184975i | ||||
\(113\) | −1.36948 | − | 0.697783i | −0.128830 | − | 0.0656419i | 0.388388 | − | 0.921496i | \(-0.373032\pi\) |
−0.517217 | + | 0.855854i | \(0.673032\pi\) | |||||||
\(114\) | −1.86569 | − | 8.77738i | −0.174738 | − | 0.822077i | ||||
\(115\) | 0.316583 | + | 1.51849i | 0.0295216 | + | 0.141600i | ||||
\(116\) | −3.88738 | + | 1.73077i | −0.360934 | + | 0.160698i | ||||
\(117\) | −0.334581 | + | 0.515209i | −0.0309320 | + | 0.0476311i | ||||
\(118\) | 0.0796709 | − | 0.156363i | 0.00733430 | − | 0.0143944i | ||||
\(119\) | −16.1349 | + | 10.3675i | −1.47908 | + | 0.950383i | ||||
\(120\) | 3.13096 | − | 2.01596i | 0.285817 | − | 0.184031i | ||||
\(121\) | 10.2691 | − | 3.94280i | 0.933554 | − | 0.358436i | ||||
\(122\) | −3.12796 | − | 11.6737i | −0.283192 | − | 1.05689i | ||||
\(123\) | −9.42779 | − | 7.63447i | −0.850075 | − | 0.688377i | ||||
\(124\) | 2.92801 | − | 3.25188i | 0.262943 | − | 0.292027i | ||||
\(125\) | −11.0215 | − | 1.87801i | −0.985791 | − | 0.167975i | ||||
\(126\) | −0.464069 | − | 0.379528i | −0.0413426 | − | 0.0338111i | ||||
\(127\) | −2.33032 | − | 14.7130i | −0.206782 | − | 1.30557i | −0.844606 | − | 0.535389i | \(-0.820165\pi\) |
0.637823 | − | 0.770183i | \(-0.279835\pi\) | |||||||
\(128\) | 0.544639 | − | 0.838671i | 0.0481397 | − | 0.0741287i | ||||
\(129\) | 13.2331 | + | 2.81279i | 1.16511 | + | 0.247652i | ||||
\(130\) | −4.72611 | + | 3.79672i | −0.414507 | + | 0.332994i | ||||
\(131\) | 2.97921 | − | 1.72005i | 0.260295 | − | 0.150281i | −0.364174 | − | 0.931331i | \(-0.618649\pi\) |
0.624469 | + | 0.781050i | \(0.285315\pi\) | |||||||
\(132\) | −5.50635 | − | 0.433157i | −0.479266 | − | 0.0377015i | ||||
\(133\) | −13.9588 | + | 2.89652i | −1.21038 | + | 0.251160i | ||||
\(134\) | −1.81822 | − | 2.50257i | −0.157070 | − | 0.216189i | ||||
\(135\) | −7.02449 | − | 9.74807i | −0.604572 | − | 0.838980i | ||||
\(136\) | −5.38692 | + | 4.85041i | −0.461925 | + | 0.415919i | ||||
\(137\) | −3.72227 | − | 1.42885i | −0.318015 | − | 0.122075i | 0.194124 | − | 0.980977i | \(-0.437813\pi\) |
−0.512139 | + | 0.858902i | \(0.671147\pi\) | |||||||
\(138\) | −0.897793 | + | 0.727019i | −0.0764252 | + | 0.0618879i | ||||
\(139\) | −6.25818 | + | 19.2607i | −0.530812 | + | 1.63367i | 0.221716 | + | 0.975111i | \(0.428834\pi\) |
−0.752528 | + | 0.658560i | \(0.771166\pi\) | |||||||
\(140\) | −3.17866 | − | 4.98960i | −0.268645 | − | 0.421698i | ||||
\(141\) | −6.86765 | + | 4.98964i | −0.578361 | + | 0.420204i | ||||
\(142\) | 2.18962 | − | 8.17176i | 0.183749 | − | 0.685759i | ||||
\(143\) | 8.98872 | − | 0.235706i | 0.751674 | − | 0.0197107i | ||||
\(144\) | −0.196233 | − | 0.113295i | −0.0163527 | − | 0.00944126i | ||||
\(145\) | 1.45184 | + | 9.40365i | 0.120568 | + | 0.780931i | ||||
\(146\) | 14.6904 | − | 4.77319i | 1.21578 | − | 0.395032i | ||||
\(147\) | 7.42362 | − | 8.98815i | 0.612290 | − | 0.741330i | ||||
\(148\) | 6.53769 | − | 1.03547i | 0.537395 | − | 0.0851150i | ||||
\(149\) | 10.4446 | + | 1.09778i | 0.855658 | + | 0.0899333i | 0.522191 | − | 0.852828i | \(-0.325115\pi\) |
0.333467 | + | 0.942762i | \(0.391781\pi\) | |||||||
\(150\) | −2.51129 | − | 7.93906i | −0.205046 | − | 0.648221i | ||||
\(151\) | 1.96244 | + | 0.417129i | 0.159701 | + | 0.0339455i | 0.287068 | − | 0.957910i | \(-0.407319\pi\) |
−0.127367 | + | 0.991856i | \(0.540653\pi\) | |||||||
\(152\) | −5.03043 | + | 1.93100i | −0.408022 | + | 0.156625i | ||||
\(153\) | 1.16143 | + | 1.16143i | 0.0938962 | + | 0.0938962i | ||||
\(154\) | −0.730476 | + | 8.74451i | −0.0588634 | + | 0.704652i | ||||
\(155\) | −5.29708 | − | 8.22683i | −0.425472 | − | 0.660795i | ||||
\(156\) | −4.12466 | − | 1.83642i | −0.330237 | − | 0.147031i | ||||
\(157\) | −19.5579 | + | 12.7011i | −1.56089 | + | 1.01366i | −0.581056 | + | 0.813864i | \(0.697360\pi\) |
−0.979838 | + | 0.199793i | \(0.935973\pi\) | |||||||
\(158\) | −8.64979 | − | 0.453316i | −0.688141 | − | 0.0360639i | ||||
\(159\) | 0.249027 | − | 2.36933i | 0.0197491 | − | 0.187900i | ||||
\(160\) | −1.48973 | − | 1.66754i | −0.117774 | − | 0.131831i | ||||
\(161\) | 1.14810 | + | 1.43190i | 0.0904830 | + | 0.112849i | ||||
\(162\) | 3.75400 | − | 7.36763i | 0.294942 | − | 0.578856i | ||||
\(163\) | −8.44168 | + | 3.24046i | −0.661203 | + | 0.253812i | −0.665747 | − | 0.746178i | \(-0.731887\pi\) |
0.00454385 | + | 0.999990i | \(0.498554\pi\) | |||||||
\(164\) | −3.64225 | + | 6.30857i | −0.284412 | + | 0.492616i | ||||
\(165\) | −4.16765 | + | 11.6262i | −0.324451 | + | 0.905097i | ||||
\(166\) | −14.6931 | + | 8.48308i | −1.14041 | + | 0.658415i | ||||
\(167\) | −2.74280 | + | 17.3174i | −0.212244 | + | 1.34006i | 0.619543 | + | 0.784963i | \(0.287318\pi\) |
−0.831787 | + | 0.555095i | \(0.812682\pi\) | |||||||
\(168\) | 2.22150 | − | 3.80511i | 0.171392 | − | 0.293570i | ||||
\(169\) | −5.37325 | − | 1.74587i | −0.413327 | − | 0.134298i | ||||
\(170\) | 7.30231 | + | 14.4708i | 0.560061 | + | 1.10986i | ||||
\(171\) | 0.496602 | + | 1.11539i | 0.0379761 | + | 0.0852957i | ||||
\(172\) | 0.425159 | − | 8.11251i | 0.0324180 | − | 0.618573i | ||||
\(173\) | 22.2213 | − | 1.16457i | 1.68946 | − | 0.0885407i | 0.816815 | − | 0.576900i | \(-0.195738\pi\) |
0.872643 | + | 0.488359i | \(0.162404\pi\) | |||||||
\(174\) | −5.73313 | + | 4.16536i | −0.434627 | + | 0.315775i | ||||
\(175\) | −12.6319 | + | 3.92862i | −0.954885 | + | 0.296976i | ||||
\(176\) | 0.260340 | + | 3.30639i | 0.0196239 | + | 0.249229i | ||||
\(177\) | 0.0756408 | − | 0.282295i | 0.00568551 | − | 0.0212186i | ||||
\(178\) | 0.461753 | − | 0.570217i | 0.0346098 | − | 0.0427396i | ||||
\(179\) | 5.40400 | − | 25.4238i | 0.403914 | − | 1.90027i | −0.0304645 | − | 0.999536i | \(-0.509699\pi\) |
0.434379 | − | 0.900730i | \(-0.356968\pi\) | |||||||
\(180\) | −0.359665 | + | 0.356871i | −0.0268078 | + | 0.0265996i | ||||
\(181\) | 1.41883 | − | 1.95286i | 0.105461 | − | 0.145155i | −0.753024 | − | 0.657993i | \(-0.771406\pi\) |
0.858486 | + | 0.512838i | \(0.171406\pi\) | |||||||
\(182\) | −2.94919 | + | 6.53865i | −0.218608 | + | 0.484677i | ||||
\(183\) | −9.13730 | − | 17.9330i | −0.675449 | − | 1.32564i | ||||
\(184\) | 0.515514 | + | 0.464171i | 0.0380042 | + | 0.0342191i | ||||
\(185\) | 1.60449 | − | 14.7137i | 0.117965 | − | 1.08177i | ||||
\(186\) | 3.64366 | − | 6.31101i | 0.267166 | − | 0.462746i | ||||
\(187\) | 4.38037 | − | 23.6392i | 0.320325 | − | 1.72867i | ||||
\(188\) | 3.60436 | + | 3.60436i | 0.262875 | + | 0.262875i | ||||
\(189\) | −12.6358 | − | 6.51548i | −0.919121 | − | 0.473931i | ||||
\(190\) | 1.21271 | + | 11.9875i | 0.0879789 | + | 0.869663i | ||||
\(191\) | −12.6607 | + | 2.69112i | −0.916099 | + | 0.194723i | −0.641756 | − | 0.766909i | \(-0.721794\pi\) |
−0.274343 | + | 0.961632i | \(0.588461\pi\) | |||||||
\(192\) | 0.596810 | − | 1.55474i | 0.0430711 | − | 0.112204i | ||||
\(193\) | 3.68449 | − | 9.59843i | 0.265215 | − | 0.690910i | −0.734706 | − | 0.678386i | \(-0.762680\pi\) |
0.999922 | − | 0.0125243i | \(-0.00398672\pi\) | |||||||
\(194\) | 13.4130 | − | 2.85103i | 0.963000 | − | 0.204692i | ||||
\(195\) | −6.38406 | + | 7.82112i | −0.457172 | + | 0.560082i | ||||
\(196\) | −6.02802 | − | 3.55850i | −0.430573 | − | 0.254179i | ||||
\(197\) | −1.34381 | − | 1.34381i | −0.0957425 | − | 0.0957425i | 0.657613 | − | 0.753356i | \(-0.271566\pi\) |
−0.753356 | + | 0.657613i | \(0.771566\pi\) | |||||||
\(198\) | 0.745082 | − | 0.0981196i | 0.0529507 | − | 0.00697305i | ||||
\(199\) | 3.84664 | − | 6.66258i | 0.272681 | − | 0.472298i | −0.696866 | − | 0.717201i | \(-0.745423\pi\) |
0.969548 | + | 0.244903i | \(0.0787562\pi\) | |||||||
\(200\) | −4.47260 | + | 2.23515i | −0.316260 | + | 0.158049i | ||||
\(201\) | −3.82832 | − | 3.44704i | −0.270029 | − | 0.243135i | ||||
\(202\) | −0.919933 | − | 1.80547i | −0.0647262 | − | 0.127032i | ||||
\(203\) | 6.57336 | + | 9.14013i | 0.461359 | + | 0.641511i | ||||
\(204\) | −7.09566 | + | 9.76634i | −0.496796 | + | 0.683781i | ||||
\(205\) | 11.4728 | + | 11.5626i | 0.801297 | + | 0.807569i | ||||
\(206\) | 2.41433 | − | 11.3585i | 0.168214 | − | 0.791385i | ||||
\(207\) | 0.0989190 | − | 0.122155i | 0.00687535 | − | 0.00849035i | ||||
\(208\) | −0.701692 | + | 2.61875i | −0.0486536 | + | 0.181578i | ||||
\(209\) | 9.33704 | − | 15.2379i | 0.645857 | − | 1.05403i | ||||
\(210\) | −6.90555 | − | 7.02728i | −0.476528 | − | 0.484929i | ||||
\(211\) | 4.49025 | − | 3.26236i | 0.309122 | − | 0.224590i | −0.422398 | − | 0.906411i | \(-0.638811\pi\) |
0.731520 | + | 0.681820i | \(0.238811\pi\) | |||||||
\(212\) | −1.42860 | + | 0.0748696i | −0.0981164 | + | 0.00514206i | ||||
\(213\) | 0.737359 | − | 14.0697i | 0.0505230 | − | 0.964037i | ||||
\(214\) | 4.12952 | + | 9.27506i | 0.282288 | + | 0.634030i | ||||
\(215\) | −17.2539 | − | 5.68060i | −1.17671 | − | 0.387414i | ||||
\(216\) | −5.11043 | − | 1.66048i | −0.347720 | − | 0.112981i | ||||
\(217\) | −9.99818 | − | 5.83713i | −0.678720 | − | 0.396250i | ||||
\(218\) | −0.721054 | + | 4.55255i | −0.0488359 | + | 0.308338i | ||||
\(219\) | 22.2774 | − | 12.8618i | 1.50537 | − | 0.869123i | ||||
\(220\) | 7.28674 | + | 1.37965i | 0.491272 | + | 0.0930157i | ||||
\(221\) | 9.82625 | − | 17.0196i | 0.660985 | − | 1.14486i | ||||
\(222\) | 10.2911 | − | 3.95040i | 0.690696 | − | 0.265133i | ||||
\(223\) | −2.59950 | + | 5.10181i | −0.174076 | + | 0.341643i | −0.961516 | − | 0.274748i | \(-0.911406\pi\) |
0.787441 | + | 0.616390i | \(0.211406\pi\) | |||||||
\(224\) | −2.46541 | − | 0.960093i | −0.164727 | − | 0.0641489i | ||||
\(225\) | 0.558809 | + | 0.985552i | 0.0372539 | + | 0.0657034i | ||||
\(226\) | −0.160660 | + | 1.52858i | −0.0106870 | + | 0.101680i | ||||
\(227\) | −5.78894 | − | 0.303385i | −0.384225 | − | 0.0201364i | −0.140754 | − | 0.990045i | \(-0.544953\pi\) |
−0.243471 | + | 0.969908i | \(0.578286\pi\) | |||||||
\(228\) | −7.52579 | + | 4.88731i | −0.498408 | + | 0.323670i | ||||
\(229\) | 12.8387 | + | 5.71616i | 0.848406 | + | 0.377735i | 0.784431 | − | 0.620217i | \(-0.212955\pi\) |
0.0639756 | + | 0.997951i | \(0.479622\pi\) | |||||||
\(230\) | 1.30418 | − | 0.839735i | 0.0859952 | − | 0.0553705i | ||||
\(231\) | 1.83784 | + | 14.4974i | 0.120921 | + | 0.953860i | ||||
\(232\) | 3.00893 | + | 3.00893i | 0.197546 | + | 0.197546i | ||||
\(233\) | 27.3743 | − | 10.5080i | 1.79335 | − | 0.688403i | 0.796910 | − | 0.604098i | \(-0.206466\pi\) |
0.996440 | − | 0.0843048i | \(-0.0268669\pi\) | |||||||
\(234\) | 0.600892 | + | 0.127724i | 0.0392815 | + | 0.00834955i | ||||
\(235\) | 9.89310 | − | 5.66048i | 0.645355 | − | 0.369249i | ||||
\(236\) | −0.174529 | − | 0.0183437i | −0.0113609 | − | 0.00119407i | ||||
\(237\) | −14.2472 | + | 2.25653i | −0.925452 | + | 0.146577i | ||||
\(238\) | 15.4611 | + | 11.3478i | 1.00219 | + | 0.735570i | ||||
\(239\) | 8.93813 | − | 2.90418i | 0.578160 | − | 0.187856i | −0.00531622 | − | 0.999986i | \(-0.501692\pi\) |
0.583476 | + | 0.812130i | \(0.301692\pi\) | |||||||
\(240\) | −3.00410 | − | 2.20055i | −0.193914 | − | 0.142045i | ||||
\(241\) | −4.60001 | − | 2.65582i | −0.296313 | − | 0.171076i | 0.344473 | − | 0.938796i | \(-0.388058\pi\) |
−0.640785 | + | 0.767720i | \(0.721391\pi\) | |||||||
\(242\) | −7.36103 | − | 8.17406i | −0.473185 | − | 0.525448i | ||||
\(243\) | −0.608128 | + | 2.26956i | −0.0390114 | + | 0.145593i | ||||
\(244\) | −9.77737 | + | 7.10367i | −0.625932 | + | 0.454766i | ||||
\(245\) | −11.2172 | + | 10.9167i | −0.716641 | + | 0.697443i | ||||
\(246\) | −3.74878 | + | 11.5375i | −0.239013 | + | 0.735607i | ||||
\(247\) | 11.3529 | − | 9.19340i | 0.722368 | − | 0.584962i | ||||
\(248\) | −4.08520 | − | 1.56816i | −0.259410 | − | 0.0995782i | ||||
\(249\) | −20.9973 | + | 18.9061i | −1.33065 | + | 1.19812i | ||||
\(250\) | 2.19647 | + | 10.9625i | 0.138917 | + | 0.693327i | ||||
\(251\) | −5.46268 | − | 7.51874i | −0.344802 | − | 0.474579i | 0.601035 | − | 0.799223i | \(-0.294755\pi\) |
−0.945836 | + | 0.324644i | \(0.894755\pi\) | |||||||
\(252\) | −0.188013 | + | 0.569257i | −0.0118437 | + | 0.0358598i | ||||
\(253\) | −2.29363 | − | 0.180429i | −0.144199 | − | 0.0113434i | ||||
\(254\) | −12.9007 | + | 7.44822i | −0.809462 | + | 0.467343i | ||||
\(255\) | 16.9057 | + | 21.0440i | 1.05867 | + | 1.31782i | ||||
\(256\) | −0.978148 | − | 0.207912i | −0.0611342 | − | 0.0129945i | ||||
\(257\) | 3.15346 | − | 4.85590i | 0.196707 | − | 0.302903i | −0.726529 | − | 0.687136i | \(-0.758868\pi\) |
0.923236 | + | 0.384234i | \(0.125534\pi\) | |||||||
\(258\) | −2.11636 | − | 13.3622i | −0.131759 | − | 0.831894i | ||||
\(259\) | −6.19682 | − | 16.3797i | −0.385052 | − | 1.01779i | ||||
\(260\) | 5.23823 | + | 3.05158i | 0.324861 | + | 0.189251i | ||||
\(261\) | 0.645177 | − | 0.716542i | 0.0399355 | − | 0.0443528i | ||||
\(262\) | −2.67346 | − | 2.16492i | −0.165167 | − | 0.133749i | ||||
\(263\) | 4.58799 | + | 17.1226i | 0.282907 | + | 1.05582i | 0.950355 | + | 0.311168i | \(0.100720\pi\) |
−0.667448 | + | 0.744657i | \(0.732613\pi\) | |||||||
\(264\) | 1.56891 | + | 5.29585i | 0.0965599 | + | 0.325937i | ||||
\(265\) | −0.677265 | + | 3.12630i | −0.0416041 | + | 0.192047i | ||||
\(266\) | 7.70652 | + | 11.9937i | 0.472517 | + | 0.735378i | ||||
\(267\) | 0.554742 | − | 1.08874i | 0.0339497 | − | 0.0666300i | ||||
\(268\) | −1.68476 | + | 2.59430i | −0.102913 | + | 0.158472i | ||||
\(269\) | −16.6392 | + | 7.40825i | −1.01451 | + | 0.451689i | −0.845528 | − | 0.533931i | \(-0.820714\pi\) |
−0.168981 | + | 0.985619i | \(0.554048\pi\) | |||||||
\(270\) | −6.58325 | + | 10.0513i | −0.400644 | + | 0.611704i | ||||
\(271\) | −1.22648 | − | 5.77012i | −0.0745032 | − | 0.350510i | 0.925068 | − | 0.379802i | \(-0.124008\pi\) |
−0.999571 | + | 0.0292923i | \(0.990675\pi\) | |||||||
\(272\) | 6.45874 | + | 3.29089i | 0.391619 | + | 0.199540i | ||||
\(273\) | −2.54013 | + | 11.6724i | −0.153736 | + | 0.706444i | ||||
\(274\) | 3.98709i | 0.240869i | ||||||||
\(275\) | 7.25516 | − | 14.9118i | 0.437502 | − | 0.899217i | ||||
\(276\) | 1.00047 | + | 0.577622i | 0.0602213 | + | 0.0347688i | ||||
\(277\) | −10.8066 | + | 13.3451i | −0.649306 | + | 0.801827i | −0.990404 | − | 0.138201i | \(-0.955868\pi\) |
0.341098 | + | 0.940028i | \(0.389201\pi\) | |||||||
\(278\) | 20.2242 | − | 1.05990i | 1.21296 | − | 0.0635687i | ||||
\(279\) | −0.306397 | + | 0.942994i | −0.0183435 | + | 0.0564556i | ||||
\(280\) | −3.51907 | + | 4.75565i | −0.210305 | + | 0.284204i | ||||
\(281\) | 4.89302 | + | 3.55499i | 0.291893 | + | 0.212073i | 0.724088 | − | 0.689707i | \(-0.242261\pi\) |
−0.432195 | + | 0.901780i | \(0.642261\pi\) | |||||||
\(282\) | 7.11938 | + | 4.62338i | 0.423953 | + | 0.275318i | ||||
\(283\) | −3.40909 | − | 5.24954i | −0.202650 | − | 0.312053i | 0.722704 | − | 0.691157i | \(-0.242899\pi\) |
−0.925354 | + | 0.379104i | \(0.876232\pi\) | |||||||
\(284\) | −8.41369 | + | 0.884314i | −0.499260 | + | 0.0524744i | ||||
\(285\) | 6.12608 | + | 19.1073i | 0.362878 | + | 1.13182i | ||||
\(286\) | −3.44132 | − | 8.30722i | −0.203489 | − | 0.491216i | ||||
\(287\) | 18.3007 | + | 6.04430i | 1.08025 | + | 0.356784i | ||||
\(288\) | −0.0354465 | + | 0.223801i | −0.00208871 | + | 0.0131876i | ||||
\(289\) | −26.4154 | − | 23.7845i | −1.55384 | − | 1.39909i | ||||
\(290\) | 8.25877 | − | 4.72537i | 0.484972 | − | 0.277483i | ||||
\(291\) | 20.8622 | − | 9.28845i | 1.22296 | − | 0.544498i | ||||
\(292\) | −9.72071 | − | 12.0041i | −0.568862 | − | 0.702486i | ||||
\(293\) | 14.3406 | − | 7.30690i | 0.837787 | − | 0.426874i | 0.0182041 | − | 0.999834i | \(-0.494205\pi\) |
0.819583 | + | 0.572960i | \(0.194205\pi\) | |||||||
\(294\) | −11.0516 | − | 3.70948i | −0.644540 | − | 0.216341i | ||||
\(295\) | −0.142054 | + | 0.365794i | −0.00827068 | + | 0.0212973i | ||||
\(296\) | −3.30959 | − | 5.73238i | −0.192366 | − | 0.333188i | ||||
\(297\) | 16.7992 | − | 5.94959i | 0.974787 | − | 0.345230i | ||||
\(298\) | −2.71816 | − | 10.1443i | −0.157459 | − | 0.587645i | ||||
\(299\) | −1.71810 | − | 0.764946i | −0.0993601 | − | 0.0442380i | ||||
\(300\) | −6.51178 | + | 5.18960i | −0.375958 | + | 0.299622i | ||||
\(301\) | −21.2445 | + | 3.25951i | −1.22451 | + | 0.187875i | ||||
\(302\) | −0.313851 | − | 1.98158i | −0.0180601 | − | 0.114027i | ||||
\(303\) | −2.12368 | − | 2.62252i | −0.122002 | − | 0.150660i | ||||
\(304\) | 3.60549 | + | 4.00431i | 0.206789 | + | 0.229663i | ||||
\(305\) | 9.58610 | + | 25.2666i | 0.548899 | + | 1.44676i | ||||
\(306\) | 0.668070 | − | 1.50051i | 0.0381910 | − | 0.0857784i | ||||
\(307\) | 17.4447 | − | 17.4447i | 0.995620 | − | 0.995620i | −0.00437072 | − | 0.999990i | \(-0.501391\pi\) |
0.999990 | + | 0.00437072i | \(0.00139125\pi\) | |||||||
\(308\) | 8.42548 | − | 2.45179i | 0.480086 | − | 0.139704i | ||||
\(309\) | − | 19.3385i | − | 1.10013i | ||||||
\(310\) | −5.78210 | + | 7.89348i | −0.328401 | + | 0.448320i | ||||
\(311\) | 2.92600 | − | 13.7658i | 0.165919 | − | 0.780585i | −0.813949 | − | 0.580936i | \(-0.802687\pi\) |
0.979868 | − | 0.199649i | \(-0.0639802\pi\) | |||||||
\(312\) | −0.236297 | + | 4.50881i | −0.0133777 | + | 0.255261i | ||||
\(313\) | −1.56250 | + | 1.26529i | −0.0883175 | + | 0.0715181i | −0.672462 | − | 0.740131i | \(-0.734763\pi\) |
0.584145 | + | 0.811649i | \(0.301430\pi\) | |||||||
\(314\) | 18.8664 | + | 13.7073i | 1.06469 | + | 0.773545i | ||||
\(315\) | 1.11784 | + | 0.739898i | 0.0629831 | + | 0.0416885i | ||||
\(316\) | 2.67660 | + | 8.23773i | 0.150571 | + | 0.463409i | ||||
\(317\) | −0.827198 | − | 2.15492i | −0.0464601 | − | 0.121033i | 0.908387 | − | 0.418131i | \(-0.137315\pi\) |
−0.954847 | + | 0.297098i | \(0.903981\pi\) | |||||||
\(318\) | −2.30121 | + | 0.616607i | −0.129045 | + | 0.0345776i | ||||
\(319\) | −13.9925 | − | 1.84162i | −0.783427 | − | 0.103111i | ||||
\(320\) | −1.02291 | + | 1.98838i | −0.0571826 | + | 0.111154i | ||||
\(321\) | 9.93830 | + | 13.6789i | 0.554702 | + | 0.763482i | ||||
\(322\) | 0.925348 | − | 1.58499i | 0.0515676 | − | 0.0883280i | ||||
\(323\) | −17.7324 | − | 34.8018i | −0.986657 | − | 1.93642i | ||||
\(324\) | −8.22359 | − | 0.864334i | −0.456866 | − | 0.0480186i | ||||
\(325\) | 9.65974 | − | 9.51027i | 0.535826 | − | 0.527535i | ||||
\(326\) | 6.05045 | + | 6.71971i | 0.335104 | + | 0.372170i | ||||
\(327\) | 0.401738 | + | 7.66561i | 0.0222161 | + | 0.423909i | ||||
\(328\) | 7.19482 | + | 1.13955i | 0.397268 | + | 0.0629210i | ||||
\(329\) | 7.39980 | − | 11.2749i | 0.407964 | − | 0.621605i | ||||
\(330\) | 12.3475 | − | 0.275618i | 0.679709 | − | 0.0151723i | ||||
\(331\) | −4.07846 | − | 7.06410i | −0.224172 | − | 0.388278i | 0.731898 | − | 0.681414i | \(-0.238635\pi\) |
−0.956071 | + | 0.293136i | \(0.905301\pi\) | |||||||
\(332\) | 13.1852 | + | 10.6771i | 0.723631 | + | 0.585985i | ||||
\(333\) | −1.25787 | + | 0.816873i | −0.0689311 | + | 0.0447644i | ||||
\(334\) | 17.1501 | − | 3.64536i | 0.938411 | − | 0.199465i | ||||
\(335\) | 4.60825 | + | 5.15828i | 0.251776 | + | 0.281827i | ||||
\(336\) | −4.34848 | − | 0.710317i | −0.237229 | − | 0.0387510i | ||||
\(337\) | −8.75268 | + | 4.45971i | −0.476789 | + | 0.242936i | −0.675834 | − | 0.737054i | \(-0.736216\pi\) |
0.199044 | + | 0.979990i | \(0.436216\pi\) | |||||||
\(338\) | 0.295686 | + | 5.64202i | 0.0160832 | + | 0.306886i | ||||
\(339\) | 0.267556 | + | 2.54563i | 0.0145317 | + | 0.138260i | ||||
\(340\) | 10.8927 | − | 12.0032i | 0.590740 | − | 0.650962i | ||||
\(341\) | 13.9152 | − | 4.12242i | 0.753551 | − | 0.223242i | ||||
\(342\) | 0.863336 | − | 0.863336i | 0.0466839 | − | 0.0466839i | ||||
\(343\) | −5.97814 | + | 17.5289i | −0.322789 | + | 0.946471i | ||||
\(344\) | −7.72604 | + | 2.51034i | −0.416560 | + | 0.135349i | ||||
\(345\) | 1.83371 | − | 1.81947i | 0.0987235 | − | 0.0979568i | ||||
\(346\) | −9.05064 | − | 20.3281i | −0.486565 | − | 1.09284i | ||||
\(347\) | 11.4762 | + | 4.40529i | 0.616073 | + | 0.236488i | 0.646335 | − | 0.763054i | \(-0.276301\pi\) |
−0.0302618 | + | 0.999542i | \(0.509634\pi\) | |||||||
\(348\) | 5.94327 | + | 3.85960i | 0.318593 | + | 0.206896i | ||||
\(349\) | 10.4808 | + | 32.2565i | 0.561022 | + | 1.72665i | 0.679484 | + | 0.733690i | \(0.262204\pi\) |
−0.118462 | + | 0.992959i | \(0.537796\pi\) | |||||||
\(350\) | 8.19457 | + | 10.3850i | 0.438018 | + | 0.555104i | ||||
\(351\) | 14.5681 | 0.777585 | ||||||||
\(352\) | 2.99348 | − | 1.42795i | 0.159553 | − | 0.0761101i | ||||
\(353\) | 10.3398 | − | 2.77055i | 0.550334 | − | 0.147461i | 0.0270719 | − | 0.999633i | \(-0.491382\pi\) |
0.523262 | + | 0.852172i | \(0.324715\pi\) | |||||||
\(354\) | −0.290653 | + | 0.0305488i | −0.0154480 | + | 0.00162365i | ||||
\(355\) | −3.03212 | + | 18.6726i | −0.160928 | + | 0.991040i | ||||
\(356\) | −0.697821 | − | 0.226736i | −0.0369844 | − | 0.0120170i | ||||
\(357\) | 29.1147 | + | 13.1318i | 1.54091 | + | 0.695011i | ||||
\(358\) | −25.6718 | + | 4.06602i | −1.35680 | + | 0.214896i | ||||
\(359\) | −3.26992 | − | 15.3838i | −0.172580 | − | 0.811923i | −0.976216 | − | 0.216802i | \(-0.930437\pi\) |
0.803636 | − | 0.595121i | \(-0.202896\pi\) | |||||||
\(360\) | 0.462060 | + | 0.207885i | 0.0243527 | + | 0.0109565i | ||||
\(361\) | −1.04884 | − | 9.97907i | −0.0552022 | − | 0.525214i | ||||
\(362\) | −2.33162 | − | 0.624754i | −0.122547 | − | 0.0328364i | ||||
\(363\) | −14.8211 | − | 10.7665i | −0.777906 | − | 0.565095i | ||||
\(364\) | 7.16125 | + | 0.410059i | 0.375351 | + | 0.0214930i | ||||
\(365\) | −31.6076 | + | 13.9252i | −1.65442 | + | 0.728879i | ||||
\(366\) | −13.4674 | + | 14.9570i | −0.703950 | + | 0.781815i | ||||
\(367\) | −18.7750 | − | 0.983959i | −0.980049 | − | 0.0513622i | −0.444423 | − | 0.895817i | \(-0.646591\pi\) |
−0.535627 | + | 0.844455i | \(0.679925\pi\) | |||||||
\(368\) | 0.248597 | − | 0.647617i | 0.0129590 | − | 0.0337594i | ||||
\(369\) | 0.172535 | − | 1.64156i | 0.00898179 | − | 0.0854560i | ||||
\(370\) | −14.3114 | + | 3.77501i | −0.744017 | + | 0.196253i | ||||
\(371\) | 0.961903 | + | 3.66063i | 0.0499395 | + | 0.190050i | ||||
\(372\) | −7.19761 | − | 1.13999i | −0.373178 | − | 0.0591057i | ||||
\(373\) | 1.41310 | + | 0.378638i | 0.0731673 | + | 0.0196051i | 0.295217 | − | 0.955430i | \(-0.404608\pi\) |
−0.222050 | + | 0.975035i | \(0.571275\pi\) | |||||||
\(374\) | −23.6389 | + | 4.38210i | −1.22234 | + | 0.226593i | ||||
\(375\) | 7.37369 | + | 17.0969i | 0.380776 | + | 0.882882i | ||||
\(376\) | 2.07328 | − | 4.65665i | 0.106921 | − | 0.240148i | ||||
\(377\) | −10.2792 | − | 5.23750i | −0.529405 | − | 0.269745i | ||||
\(378\) | −1.55445 | + | 14.1315i | −0.0799521 | + | 0.726846i | ||||
\(379\) | −8.35920 | + | 11.5054i | −0.429383 | + | 0.590995i | −0.967812 | − | 0.251676i | \(-0.919018\pi\) |
0.538428 | + | 0.842671i | \(0.319018\pi\) | |||||||
\(380\) | 10.7567 | − | 5.42808i | 0.551806 | − | 0.278455i | ||||
\(381\) | −18.4358 | + | 16.5997i | −0.944497 | + | 0.850429i | ||||
\(382\) | 7.04959 | + | 10.8554i | 0.360688 | + | 0.555411i | ||||
\(383\) | −4.11774 | − | 10.7271i | −0.210407 | − | 0.548128i | 0.787244 | − | 0.616642i | \(-0.211507\pi\) |
−0.997650 | + | 0.0685143i | \(0.978174\pi\) | |||||||
\(384\) | −1.66536 | −0.0849848 | ||||||||
\(385\) | −0.342955 | − | 19.6184i | −0.0174786 | − | 0.999847i | ||||
\(386\) | −10.2813 | −0.523305 | ||||||||
\(387\) | 0.659662 | + | 1.71848i | 0.0335325 | + | 0.0873551i | ||||
\(388\) | −7.46847 | − | 11.5004i | −0.379154 | − | 0.583846i | ||||
\(389\) | −4.52653 | + | 4.07570i | −0.229504 | + | 0.206646i | −0.775857 | − | 0.630909i | \(-0.782682\pi\) |
0.546353 | + | 0.837555i | \(0.316016\pi\) | |||||||
\(390\) | 9.58948 | + | 3.15719i | 0.485582 | + | 0.159871i | ||||
\(391\) | −2.95565 | + | 4.06810i | −0.149474 | + | 0.205733i | ||||
\(392\) | −1.16189 | + | 6.90290i | −0.0586845 | + | 0.348649i | ||||
\(393\) | −5.10456 | − | 2.60090i | −0.257491 | − | 0.131198i | ||||
\(394\) | −0.772976 | + | 1.73613i | −0.0389420 | + | 0.0874651i | ||||
\(395\) | 19.3453 | − | 0.938239i | 0.973369 | − | 0.0472079i | ||||
\(396\) | −0.358616 | − | 0.660431i | −0.0180211 | − | 0.0331879i | ||||
\(397\) | −21.9926 | − | 5.89289i | −1.10377 | − | 0.295756i | −0.339474 | − | 0.940615i | \(-0.610249\pi\) |
−0.764301 | + | 0.644860i | \(0.776916\pi\) | |||||||
\(398\) | −7.59857 | − | 1.20350i | −0.380882 | − | 0.0603258i | ||||
\(399\) | 16.7064 | + | 16.8689i | 0.836367 | + | 0.844500i | ||||
\(400\) | 3.68953 | + | 3.37452i | 0.184476 | + | 0.168726i | ||||
\(401\) | −0.965777 | + | 9.18876i | −0.0482286 | + | 0.458865i | 0.943581 | + | 0.331141i | \(0.107434\pi\) |
−0.991810 | + | 0.127723i | \(0.959233\pi\) | |||||||
\(402\) | −1.84614 | + | 4.80936i | −0.0920770 | + | 0.239869i | ||||
\(403\) | 11.8472 | + | 0.620886i | 0.590152 | + | 0.0309285i | ||||
\(404\) | −1.35588 | + | 1.50585i | −0.0674574 | + | 0.0749190i | ||||
\(405\) | −6.69339 | + | 17.2357i | −0.332597 | + | 0.856451i | ||||
\(406\) | 6.17737 | − | 9.41229i | 0.306578 | − | 0.467124i | ||||
\(407\) | 20.2826 | + | 8.40045i | 1.00537 | + | 0.416395i | ||||
\(408\) | 11.6605 | + | 3.12443i | 0.577282 | + | 0.154682i | ||||
\(409\) | 2.29122 | + | 21.7995i | 0.113293 | + | 1.07791i | 0.892469 | + | 0.451109i | \(0.148971\pi\) |
−0.779176 | + | 0.626806i | \(0.784362\pi\) | |||||||
\(410\) | 6.68315 | − | 14.8545i | 0.330057 | − | 0.733611i | ||||
\(411\) | 1.38052 | + | 6.49483i | 0.0680959 | + | 0.320366i | ||||
\(412\) | −11.4693 | + | 1.81656i | −0.565052 | + | 0.0894954i | ||||
\(413\) | 0.0462981 | + | 0.461989i | 0.00227818 | + | 0.0227330i | ||||
\(414\) | −0.149491 | − | 0.0485725i | −0.00734707 | − | 0.00238721i | ||||
\(415\) | 30.7788 | − | 22.1793i | 1.51087 | − | 1.08874i | ||||
\(416\) | 2.69628 | − | 0.283390i | 0.132196 | − | 0.0138944i | ||||
\(417\) | 32.5774 | − | 8.72909i | 1.59532 | − | 0.427466i | ||||
\(418\) | −17.5719 | − | 3.25610i | −0.859470 | − | 0.159261i | ||||
\(419\) | 7.53267 | 0.367995 | 0.183998 | − | 0.982927i | \(-0.441096\pi\) | ||||
0.183998 | + | 0.982927i | \(0.441096\pi\) | |||||||
\(420\) | −4.08581 | + | 8.96524i | −0.199367 | + | 0.437459i | ||||
\(421\) | −5.77790 | − | 17.7825i | −0.281597 | − | 0.866668i | −0.987398 | − | 0.158257i | \(-0.949413\pi\) |
0.705801 | − | 0.708411i | \(-0.250587\pi\) | |||||||
\(422\) | −4.65484 | − | 3.02289i | −0.226594 | − | 0.147152i | ||||
\(423\) | −1.07829 | − | 0.413918i | −0.0524284 | − | 0.0201254i | ||||
\(424\) | 0.581860 | + | 1.30688i | 0.0282576 | + | 0.0634676i | ||||
\(425\) | −19.5024 | − | 30.5498i | −0.946003 | − | 1.48188i | ||||
\(426\) | −13.3994 | + | 4.35373i | −0.649203 | + | 0.210939i | ||||
\(427\) | 23.6584 | + | 21.5103i | 1.14491 | + | 1.04096i | ||||
\(428\) | 7.17912 | − | 7.17912i | 0.347016 | − | 0.347016i | ||||
\(429\) | −8.48213 | − | 12.3406i | −0.409521 | − | 0.595810i | ||||
\(430\) | 0.879960 | + | 18.1437i | 0.0424354 | + | 0.874966i | ||||
\(431\) | 0.856543 | + | 8.14946i | 0.0412582 | + | 0.392546i | 0.995591 | + | 0.0938002i | \(0.0299015\pi\) |
−0.954333 | + | 0.298745i | \(0.903432\pi\) | |||||||
\(432\) | 0.281223 | + | 5.36606i | 0.0135304 | + | 0.258175i | ||||
\(433\) | 15.2187 | − | 7.75429i | 0.731362 | − | 0.372647i | −0.0483129 | − | 0.998832i | \(-0.515384\pi\) |
0.779675 | + | 0.626185i | \(0.215384\pi\) | |||||||
\(434\) | −1.86641 | + | 11.4259i | −0.0895904 | + | 0.548463i | ||||
\(435\) | 11.8171 | − | 10.5570i | 0.566586 | − | 0.506171i | ||||
\(436\) | 4.50858 | − | 0.958328i | 0.215922 | − | 0.0458956i | ||||
\(437\) | −3.13481 | + | 2.03577i | −0.149958 | + | 0.0973842i | ||||
\(438\) | −19.9911 | − | 16.1884i | −0.955210 | − | 0.773514i | ||||
\(439\) | 20.2480 | + | 35.0705i | 0.966384 | + | 1.67383i | 0.705850 | + | 0.708361i | \(0.250565\pi\) |
0.260533 | + | 0.965465i | \(0.416102\pi\) | |||||||
\(440\) | −1.32332 | − | 7.29718i | −0.0630870 | − | 0.347879i | ||||
\(441\) | 1.57576 | + | 0.181053i | 0.0750364 | + | 0.00862157i | ||||
\(442\) | −19.4105 | − | 3.07433i | −0.923266 | − | 0.146231i | ||||
\(443\) | 1.83687 | + | 35.0496i | 0.0872725 | + | 1.66526i | 0.594989 | + | 0.803734i | \(0.297157\pi\) |
−0.507716 | + | 0.861524i | \(0.669510\pi\) | |||||||
\(444\) | −7.37603 | − | 8.19191i | −0.350051 | − | 0.388771i | ||||
\(445\) | −0.898933 | + | 1.37249i | −0.0426135 | + | 0.0650624i | ||||
\(446\) | 5.69453 | + | 0.598520i | 0.269644 | + | 0.0283407i | ||||
\(447\) | −7.94023 | − | 15.5836i | −0.375560 | − | 0.737078i | ||||
\(448\) | −0.0128015 | + | 2.64572i | −0.000604816 | + | 0.124999i | ||||
\(449\) | 7.78106 | + | 10.7097i | 0.367211 | + | 0.505422i | 0.952140 | − | 0.305662i | \(-0.0988778\pi\) |
−0.584929 | + | 0.811084i | \(0.698878\pi\) | |||||||
\(450\) | 0.719833 | − | 0.874883i | 0.0339332 | − | 0.0412424i | ||||
\(451\) | −21.2318 | + | 11.5289i | −0.999766 | + | 0.542876i | ||||
\(452\) | 1.48463 | − | 0.397805i | 0.0698310 | − | 0.0187112i | ||||
\(453\) | −1.19737 | − | 3.11925i | −0.0562573 | − | 0.146555i | ||||
\(454\) | 1.79134 | + | 5.51316i | 0.0840715 | + | 0.258746i | ||||
\(455\) | 5.08949 | − | 15.2104i | 0.238599 | − | 0.713073i | ||||
\(456\) | 7.25969 | + | 5.27448i | 0.339966 | + | 0.247000i | ||||
\(457\) | −29.7652 | + | 24.1034i | −1.39236 | + | 1.12751i | −0.416488 | + | 0.909141i | \(0.636739\pi\) |
−0.975867 | + | 0.218366i | \(0.929927\pi\) | |||||||
\(458\) | 0.735515 | − | 14.0345i | 0.0343684 | − | 0.655787i | ||||
\(459\) | 8.09836 | − | 38.0998i | 0.377999 | − | 1.77835i | ||||
\(460\) | −1.25134 | − | 0.916624i | −0.0583439 | − | 0.0427378i | ||||
\(461\) | − | 5.72987i | − | 0.266867i | −0.991058 | − | 0.133433i | \(-0.957400\pi\) | ||
0.991058 | − | 0.133433i | \(-0.0426002\pi\) | |||||||
\(462\) | 12.8759 | − | 6.91118i | 0.599040 | − | 0.321537i | ||||
\(463\) | 5.42629 | − | 5.42629i | 0.252181 | − | 0.252181i | −0.569683 | − | 0.821864i | \(-0.692934\pi\) |
0.821864 | + | 0.569683i | \(0.192934\pi\) | |||||||
\(464\) | 1.73077 | − | 3.88738i | 0.0803491 | − | 0.180467i | ||||
\(465\) | −6.68574 | + | 14.8602i | −0.310044 | + | 0.689127i | ||||
\(466\) | −19.6201 | − | 21.7904i | −0.908886 | − | 1.00942i | ||||
\(467\) | 21.9029 | + | 27.0478i | 1.01354 | + | 1.25162i | 0.967550 | + | 0.252681i | \(0.0813124\pi\) |
0.0459947 | + | 0.998942i | \(0.485354\pi\) | |||||||
\(468\) | −0.0961002 | − | 0.606753i | −0.00444223 | − | 0.0280472i | ||||
\(469\) | 7.62634 | + | 2.96990i | 0.352152 | + | 0.137137i | ||||
\(470\) | −8.82988 | − | 7.20747i | −0.407292 | − | 0.332456i | ||||
\(471\) | 35.4788 | + | 15.7962i | 1.63478 | + | 0.727850i | ||||
\(472\) | 0.0454202 | + | 0.169511i | 0.00209064 | + | 0.00780236i | ||||
\(473\) | 15.2599 | − | 22.2050i | 0.701652 | − | 1.02099i | ||||
\(474\) | 7.21238 | + | 12.4922i | 0.331275 | + | 0.573786i | ||||
\(475\) | −5.39584 | − | 26.3958i | −0.247578 | − | 1.21112i | ||||
\(476\) | 5.05336 | − | 18.5008i | 0.231620 | − | 0.847985i | ||||
\(477\) | 0.288820 | − | 0.147161i | 0.0132242 | − | 0.00673805i | ||||
\(478\) | −5.91442 | − | 7.30370i | −0.270519 | − | 0.334064i | ||||
\(479\) | 24.2647 | − | 10.8033i | 1.10868 | − | 0.493617i | 0.231045 | − | 0.972943i | \(-0.425785\pi\) |
0.877637 | + | 0.479326i | \(0.159119\pi\) | |||||||
\(480\) | −0.977818 | + | 3.59318i | −0.0446311 | + | 0.164005i | ||||
\(481\) | 13.3361 | + | 12.0079i | 0.608074 | + | 0.547512i | ||||
\(482\) | −0.830923 | + | 5.24624i | −0.0378475 | + | 0.238960i | ||||
\(483\) | 0.958561 | − | 2.90229i | 0.0436160 | − | 0.132059i | ||||
\(484\) | −4.99318 | + | 9.80144i | −0.226963 | + | 0.445520i | ||||
\(485\) | −29.1985 | + | 9.36148i | −1.32584 | + | 0.425083i | ||||
\(486\) | 2.33675 | − | 0.245603i | 0.105997 | − | 0.0111408i | ||||
\(487\) | 0.673395 | + | 1.03694i | 0.0305145 | + | 0.0469881i | 0.853599 | − | 0.520931i | \(-0.174415\pi\) |
−0.823084 | + | 0.567919i | \(0.807749\pi\) | |||||||
\(488\) | 10.1357 | + | 6.58223i | 0.458824 | + | 0.297964i | ||||
\(489\) | 12.1826 | + | 8.85121i | 0.550918 | + | 0.400266i | ||||
\(490\) | 14.2115 | + | 6.55996i | 0.642010 | + | 0.296349i | ||||
\(491\) | 6.92200 | − | 21.3037i | 0.312386 | − | 0.961424i | −0.664432 | − | 0.747349i | \(-0.731326\pi\) |
0.976817 | − | 0.214075i | \(-0.0686737\pi\) | |||||||
\(492\) | 12.1147 | − | 0.634903i | 0.546172 | − | 0.0286236i | ||||
\(493\) | −19.4118 | + | 23.9716i | −0.874264 | + | 1.07963i | ||||
\(494\) | −12.6513 | − | 7.30423i | −0.569209 | − | 0.328633i | ||||
\(495\) | −1.63551 | + | 0.385977i | −0.0735107 | + | 0.0173484i | ||||
\(496\) | 4.37584i | 0.196481i | ||||||||
\(497\) | 6.81369 | + | 21.3208i | 0.305636 | + | 0.956371i | ||||
\(498\) | 25.1751 | + | 12.8274i | 1.12812 | + | 0.574808i | ||||
\(499\) | 1.57993 | + | 7.43301i | 0.0707276 | + | 0.332747i | 0.999258 | − | 0.0385085i | \(-0.0122607\pi\) |
−0.928531 | + | 0.371256i | \(0.878927\pi\) | |||||||
\(500\) | 9.44719 | − | 5.97918i | 0.422491 | − | 0.267397i | ||||
\(501\) | 26.6747 | − | 11.8763i | 1.19174 | − | 0.530595i | ||||
\(502\) | −5.06170 | + | 7.79433i | −0.225915 | + | 0.347878i | ||||
\(503\) | −12.7080 | + | 24.9408i | −0.566620 | + | 1.11205i | 0.412913 | + | 0.910771i | \(0.364511\pi\) |
−0.979533 | + | 0.201284i | \(0.935489\pi\) | |||||||
\(504\) | 0.598825 | − | 0.0284784i | 0.0266738 | − | 0.00126853i | ||||
\(505\) | 2.45293 | + | 3.80961i | 0.109154 | + | 0.169525i | ||||
\(506\) | 0.653519 | + | 2.20595i | 0.0290525 | + | 0.0980664i | ||||
\(507\) | 2.43519 | + | 9.08827i | 0.108151 | + | 0.403624i | ||||
\(508\) | 11.5767 | + | 9.37464i | 0.513633 | + | 0.415932i | ||||
\(509\) | 5.56748 | − | 6.18331i | 0.246774 | − | 0.274070i | −0.607014 | − | 0.794691i | \(-0.707633\pi\) |
0.853788 | + | 0.520621i | \(0.174299\pi\) | |||||||
\(510\) | 13.5878 | − | 23.3243i | 0.601677 | − | 1.03282i | ||||
\(511\) | −25.8720 | + | 31.6350i | −1.14451 | + | 1.39945i | ||||
\(512\) | 0.156434 | + | 0.987688i | 0.00691349 | + | 0.0436501i | ||||
\(513\) | 15.7693 | − | 24.2826i | 0.696233 | − | 1.07210i | ||||
\(514\) | −5.66347 | − | 1.20381i | −0.249805 | − | 0.0530977i | ||||
\(515\) | −2.81481 | + | 25.8128i | −0.124036 | + | 1.13745i | ||||
\(516\) | −11.7162 | + | 6.76438i | −0.515779 | + | 0.297785i | ||||
\(517\) | 3.94722 | + | 16.4387i | 0.173598 | + | 0.722974i | ||||
\(518\) | −13.0710 | + | 11.6552i | −0.574308 | + | 0.512100i | ||||
\(519\) | −21.7817 | − | 29.9799i | −0.956110 | − | 1.31597i | ||||
\(520\) | 0.971683 | − | 5.98390i | 0.0426111 | − | 0.262411i | ||||
\(521\) | −13.4218 | + | 12.0851i | −0.588022 | + | 0.529457i | −0.908547 | − | 0.417783i | \(-0.862807\pi\) |
0.320525 | + | 0.947240i | \(0.396141\pi\) | |||||||
\(522\) | −0.900160 | − | 0.345539i | −0.0393989 | − | 0.0151238i | ||||
\(523\) | −27.2345 | + | 22.0541i | −1.19088 | + | 0.964358i | −0.999852 | − | 0.0172257i | \(-0.994517\pi\) |
−0.191032 | + | 0.981584i | \(0.561183\pi\) | |||||||
\(524\) | −1.06305 | + | 3.27172i | −0.0464395 | + | 0.142926i | ||||
\(525\) | 16.9444 | + | 14.0795i | 0.739516 | + | 0.614480i | ||||
\(526\) | 14.3411 | − | 10.4194i | 0.625303 | − | 0.454309i | ||||
\(527\) | 8.20965 | − | 30.6388i | 0.357618 | − | 1.33465i | ||||
\(528\) | 4.38185 | − | 3.36257i | 0.190696 | − | 0.146337i | ||||
\(529\) | −19.5018 | − | 11.2594i | −0.847906 | − | 0.489539i | ||||
\(530\) | 3.16137 | − | 0.488086i | 0.137321 | − | 0.0212011i | ||||
\(531\) | 0.0378182 | − | 0.0122879i | 0.00164117 | − | 0.000533248i | ||||
\(532\) | 8.43527 | − | 11.4928i | 0.365715 | − | 0.498276i | ||||
\(533\) | −19.5061 | + | 3.08947i | −0.844904 | + | 0.133820i | ||||
\(534\) | −1.21523 | − | 0.127726i | −0.0525882 | − | 0.00552724i | ||||
\(535\) | −11.2745 | − | 19.7049i | −0.487437 | − | 0.851919i | ||||
\(536\) | 3.02575 | + | 0.643142i | 0.130692 | + | 0.0277795i | ||||
\(537\) | −40.4106 | + | 15.5122i | −1.74385 | + | 0.669400i | ||||
\(538\) | 12.8791 | + | 12.8791i | 0.555259 | + | 0.555259i | ||||
\(539\) | −10.8807 | − | 20.5088i | −0.468664 | − | 0.883376i | ||||
\(540\) | 11.7429 | + | 2.54393i | 0.505336 | + | 0.109473i | ||||
\(541\) | 9.98647 | + | 4.44626i | 0.429352 | + | 0.191160i | 0.610023 | − | 0.792384i | \(-0.291160\pi\) |
−0.180671 | + | 0.983544i | \(0.557827\pi\) | |||||||
\(542\) | −4.94734 | + | 3.21284i | −0.212507 | + | 0.138003i | ||||
\(543\) | −4.01444 | − | 0.210388i | −0.172276 | − | 0.00902860i | ||||
\(544\) | 0.757708 | − | 7.20911i | 0.0324865 | − | 0.309088i | ||||
\(545\) | 0.579532 | − | 10.2904i | 0.0248244 | − | 0.440793i | ||||
\(546\) | 11.8074 | − | 1.81159i | 0.505310 | − | 0.0775288i | ||||
\(547\) | 9.48799 | − | 18.6212i | 0.405677 | − | 0.796186i | −0.594290 | − | 0.804251i | \(-0.702567\pi\) |
0.999967 | + | 0.00806428i | \(0.00256697\pi\) | |||||||
\(548\) | 3.72227 | − | 1.42885i | 0.159007 | − | 0.0610373i | ||||
\(549\) | 1.36923 | − | 2.37157i | 0.0584372 | − | 0.101216i | ||||
\(550\) | −16.5214 | − | 1.42935i | −0.704475 | − | 0.0609477i | ||||
\(551\) | −19.8569 | + | 11.4644i | −0.845932 | + | 0.488399i | ||||
\(552\) | 0.180720 | − | 1.14102i | 0.00769195 | − | 0.0485651i | ||||
\(553\) | 19.9016 | − | 11.3621i | 0.846301 | − | 0.483167i | ||||
\(554\) | 16.3314 | + | 5.30640i | 0.693856 | + | 0.225447i | ||||
\(555\) | −22.0057 | + | 11.1046i | −0.934092 | + | 0.471366i | ||||
\(556\) | −8.23719 | − | 18.5010i | −0.349335 | − | 0.784619i | ||||
\(557\) | 1.46693 | − | 27.9907i | 0.0621559 | − | 1.18601i | −0.772420 | − | 0.635112i | \(-0.780954\pi\) |
0.834576 | − | 0.550893i | \(-0.185713\pi\) | |||||||
\(558\) | 0.990163 | − | 0.0518923i | 0.0419170 | − | 0.00219677i | ||||
\(559\) | 17.8180 | − | 12.9455i | 0.753621 | − | 0.547538i | ||||
\(560\) | 5.70090 | + | 1.58106i | 0.240907 | + | 0.0668121i | ||||
\(561\) | −36.9896 | + | 15.3232i | −1.56170 | + | 0.646944i | ||||
\(562\) | 1.56537 | − | 5.84202i | 0.0660309 | − | 0.246431i | ||||
\(563\) | −20.2880 | + | 25.0536i | −0.855036 | + | 1.05588i | 0.142775 | + | 0.989755i | \(0.454397\pi\) |
−0.997811 | + | 0.0661263i | \(0.978936\pi\) | |||||||
\(564\) | 1.76494 | − | 8.30338i | 0.0743173 | − | 0.349635i | ||||
\(565\) | 0.0133980 | − | 3.43681i | 0.000563659 | − | 0.144588i | ||||
\(566\) | −3.67916 | + | 5.06393i | −0.154647 | + | 0.212853i | ||||
\(567\) | 2.18151 | + | 21.7684i | 0.0916149 | + | 0.914186i | ||||
\(568\) | 3.84077 | + | 7.53794i | 0.161155 | + | 0.316285i | ||||
\(569\) | 9.49523 | + | 8.54954i | 0.398061 | + | 0.358416i | 0.843717 | − | 0.536789i | \(-0.180363\pi\) |
−0.445656 | + | 0.895204i | \(0.647029\pi\) | |||||||
\(570\) | 15.6428 | − | 12.5666i | 0.655204 | − | 0.526358i | ||||
\(571\) | −17.1917 | + | 29.7768i | −0.719449 | + | 1.24612i | 0.241770 | + | 0.970334i | \(0.422272\pi\) |
−0.961218 | + | 0.275788i | \(0.911061\pi\) | |||||||
\(572\) | −6.52220 | + | 6.18979i | −0.272707 | + | 0.258808i | ||||
\(573\) | 15.2422 | + | 15.2422i | 0.636751 | + | 0.636751i | ||||
\(574\) | −0.915534 | − | 19.2512i | −0.0382136 | − | 0.803531i | ||||
\(575\) | −2.71244 | + | 2.16169i | −0.113116 | + | 0.0901487i | ||||
\(576\) | 0.221639 | − | 0.0471108i | 0.00923495 | − | 0.00196295i | ||||
\(577\) | 14.7439 | − | 38.4093i | 0.613798 | − | 1.59900i | −0.175151 | − | 0.984542i | \(-0.556041\pi\) |
0.788949 | − | 0.614458i | \(-0.210625\pi\) | |||||||
\(578\) | −12.7383 | + | 33.1845i | −0.529844 | + | 1.38029i | ||||
\(579\) | −16.7479 | + | 3.55987i | −0.696018 | + | 0.147943i | ||||
\(580\) | −7.37120 | − | 6.01681i | −0.306072 | − | 0.249834i | ||||
\(581\) | 20.5721 | − | 39.8966i | 0.853475 | − | 1.65519i | ||||
\(582\) | −16.1479 | − | 16.1479i | −0.669350 | − | 0.669350i | ||||
\(583\) | −4.16974 | − | 2.26378i | −0.172693 | − | 0.0937564i | ||||
\(584\) | −7.72318 | + | 13.3769i | −0.319588 | + | 0.553542i | ||||
\(585\) | −1.36556 | − | 0.148910i | −0.0564589 | − | 0.00615669i | ||||
\(586\) | −11.9608 | − | 10.7695i | −0.494096 | − | 0.444886i | ||||
\(587\) | 6.27740 | + | 12.3201i | 0.259096 | + | 0.508504i | 0.983508 | − | 0.180862i | \(-0.0578889\pi\) |
−0.724413 | + | 0.689367i | \(0.757889\pi\) | |||||||
\(588\) | 0.497423 | + | 11.6469i | 0.0205134 | + | 0.480309i | ||||
\(589\) | 13.8591 | − | 19.0753i | 0.571052 | − | 0.785986i | ||||
\(590\) | 0.392405 | + | 0.00152975i | 0.0161551 | + | 6.29787e-5i | ||||
\(591\) | −0.658019 | + | 3.09574i | −0.0270673 | + | 0.127342i | ||||
\(592\) | −4.16559 | + | 5.14407i | −0.171205 | + | 0.211420i | ||||
\(593\) | 0.623178 | − | 2.32573i | 0.0255908 | − | 0.0955063i | −0.951949 | − | 0.306256i | \(-0.900924\pi\) |
0.977540 | + | 0.210749i | \(0.0675904\pi\) | |||||||
\(594\) | −11.5747 | − | 13.5512i | −0.474916 | − | 0.556014i | ||||
\(595\) | −36.9504 | − | 21.7660i | −1.51482 | − | 0.892317i | ||||
\(596\) | −8.49644 | + | 6.17302i | −0.348028 | + | 0.252857i | ||||
\(597\) | −12.7945 | + | 0.670531i | −0.523644 | + | 0.0274430i | ||||
\(598\) | −0.0984277 | + | 1.87811i | −0.00402501 | + | 0.0768018i | ||||
\(599\) | −1.54366 | − | 3.46712i | −0.0630724 | − | 0.141663i | 0.879259 | − | 0.476344i | \(-0.158038\pi\) |
−0.942332 | + | 0.334681i | \(0.891372\pi\) | |||||||
\(600\) | 7.17852 | + | 4.21949i | 0.293062 | + | 0.172260i | ||||
\(601\) | 6.97654 | + | 2.26682i | 0.284579 | + | 0.0924653i | 0.447828 | − | 0.894120i | \(-0.352198\pi\) |
−0.163249 | + | 0.986585i | \(0.552198\pi\) | |||||||
\(602\) | 10.6564 | + | 18.6654i | 0.434322 | + | 0.760744i | ||||
\(603\) | 0.109648 | − | 0.692292i | 0.00446522 | − | 0.0281923i | ||||
\(604\) | −1.73749 | + | 1.00314i | −0.0706975 | + | 0.0408172i | ||||
\(605\) | 18.2159 | + | 16.5282i | 0.740580 | + | 0.671969i | ||||
\(606\) | −1.68728 | + | 2.92245i | −0.0685409 | + | 0.118716i | ||||
\(607\) | 4.04677 | − | 1.55341i | 0.164253 | − | 0.0630509i | −0.274852 | − | 0.961487i | \(-0.588629\pi\) |
0.439105 | + | 0.898436i | \(0.355296\pi\) | |||||||
\(608\) | 2.44625 | − | 4.80103i | 0.0992085 | − | 0.194708i | ||||
\(609\) | 6.80373 | − | 17.4712i | 0.275701 | − | 0.707968i | ||||
\(610\) | 20.1531 | − | 18.0041i | 0.815974 | − | 0.728967i | ||||
\(611\) | −1.44454 | + | 13.7439i | −0.0584397 | + | 0.556017i | ||||
\(612\) | −1.64026 | − | 0.0859624i | −0.0663036 | − | 0.00347483i | ||||
\(613\) | 3.40571 | − | 2.21169i | 0.137555 | − | 0.0893294i | −0.474027 | − | 0.880510i | \(-0.657200\pi\) |
0.611582 | + | 0.791181i | \(0.290533\pi\) | |||||||
\(614\) | −22.5376 | − | 10.0344i | −0.909544 | − | 0.404955i | ||||
\(615\) | 5.74329 | − | 26.5114i | 0.231592 | − | 1.06904i | ||||
\(616\) | −5.30837 | − | 6.98722i | −0.213880 | − | 0.281523i | ||||
\(617\) | 25.7194 | + | 25.7194i | 1.03542 | + | 1.03542i | 0.999349 | + | 0.0360736i | \(0.0114851\pi\) |
0.0360736 | + | 0.999349i | \(0.488515\pi\) | |||||||
\(618\) | −18.0541 | + | 6.93032i | −0.726242 | + | 0.278778i | ||||
\(619\) | 8.50917 | + | 1.80868i | 0.342013 | + | 0.0726970i | 0.375716 | − | 0.926735i | \(-0.377397\pi\) |
−0.0337034 | + | 0.999432i | \(0.510730\pi\) | |||||||
\(620\) | 9.44132 | + | 2.56928i | 0.379173 | + | 0.103185i | ||||
\(621\) | −3.70708 | − | 0.389630i | −0.148760 | − | 0.0156353i | ||||
\(622\) | −13.9000 | + | 2.20155i | −0.557341 | + | 0.0882741i | ||||
\(623\) | −0.212257 | + | 1.92963i | −0.00850391 | + | 0.0773092i | ||||
\(624\) | 4.29402 | − | 1.39521i | 0.171898 | − | 0.0558532i | ||||
\(625\) | −7.35374 | − | 23.8940i | −0.294150 | − | 0.955759i | ||||
\(626\) | 1.74119 | + | 1.00528i | 0.0695921 | + | 0.0401790i | ||||
\(627\) | −29.7514 | + | 0.780154i | −1.18816 | + | 0.0311563i | ||||
\(628\) | 6.03571 | − | 22.5256i | 0.240851 | − | 0.898868i | ||||
\(629\) | 38.8177 | − | 28.2027i | 1.54776 | − | 1.12452i | ||||
\(630\) | 0.290156 | − | 1.30875i | 0.0115601 | − | 0.0521417i | ||||
\(631\) | 1.22732 | − | 3.77729i | 0.0488587 | − | 0.150371i | −0.923651 | − | 0.383236i | \(-0.874810\pi\) |
0.972509 | + | 0.232864i | \(0.0748097\pi\) | |||||||
\(632\) | 6.73138 | − | 5.45096i | 0.267760 | − | 0.216828i | ||||
\(633\) | −8.62923 | − | 3.31245i | −0.342981 | − | 0.131658i | ||||
\(634\) | −1.71535 | + | 1.54451i | −0.0681254 | + | 0.0613404i | ||||
\(635\) | 27.0240 | − | 19.4736i | 1.07242 | − | 0.772787i | ||||
\(636\) | 1.40033 | + | 1.92739i | 0.0555267 | + | 0.0764260i | ||||
\(637\) | −2.78727 | − | 18.7721i | −0.110436 | − | 0.743779i | ||||
\(638\) | 3.29514 | + | 13.7231i | 0.130456 | + | 0.543301i | ||||
\(639\) | 1.66014 | − | 0.958481i | 0.0656740 | − | 0.0379169i | ||||
\(640\) | 2.22289 | + | 0.242400i | 0.0878675 | + | 0.00958171i | ||||
\(641\) | −23.0300 | − | 4.89518i | −0.909630 | − | 0.193348i | −0.270746 | − | 0.962651i | \(-0.587270\pi\) |
−0.638884 | + | 0.769303i | \(0.720604\pi\) | |||||||
\(642\) | 9.20878 | − | 14.1803i | 0.363442 | − | 0.559651i | ||||
\(643\) | −5.57033 | − | 35.1697i | −0.219673 | − | 1.38696i | −0.813125 | − | 0.582089i | \(-0.802236\pi\) |
0.593453 | − | 0.804869i | \(-0.297764\pi\) | |||||||
\(644\) | −1.81133 | − | 0.295878i | −0.0713764 | − | 0.0116592i | ||||
\(645\) | 7.71562 | + | 29.2507i | 0.303802 | + | 1.15175i | ||||
\(646\) | −26.1356 | + | 29.0265i | −1.02829 | + | 1.14203i | ||||
\(647\) | −5.01282 | − | 4.05930i | −0.197074 | − | 0.159588i | 0.525704 | − | 0.850668i | \(-0.323802\pi\) |
−0.722778 | + | 0.691080i | \(0.757135\pi\) | |||||||
\(648\) | 2.14015 | + | 7.98713i | 0.0840728 | + | 0.313764i | ||||
\(649\) | −0.461773 | − | 0.354304i | −0.0181262 | − | 0.0139076i | ||||
\(650\) | −12.3403 | − | 5.60997i | −0.484028 | − | 0.220041i | ||||
\(651\) | 0.915888 | + | 19.2587i | 0.0358965 | + | 0.754807i | ||||
\(652\) | 4.10510 | − | 8.05671i | 0.160768 | − | 0.315525i | ||||
\(653\) | −24.0548 | + | 37.0412i | −0.941339 | + | 1.44953i | −0.0486733 | + | 0.998815i | \(0.515499\pi\) |
−0.892665 | + | 0.450720i | \(0.851167\pi\) | |||||||
\(654\) | 7.01249 | − | 3.12216i | 0.274210 | − | 0.122086i | ||||
\(655\) | 6.43491 | + | 4.21464i | 0.251433 | + | 0.164679i | ||||
\(656\) | −1.51453 | − | 7.12532i | −0.0591326 | − | 0.278197i | ||||
\(657\) | 3.11852 | + | 1.58897i | 0.121665 | + | 0.0619914i | ||||
\(658\) | −13.1779 | − | 2.86775i | −0.513727 | − | 0.111797i | ||||
\(659\) | 23.9051i | 0.931212i | 0.884992 | + | 0.465606i | \(0.154164\pi\) | ||||
−0.884992 | + | 0.465606i | \(0.845836\pi\) | |||||||
\(660\) | −4.68227 | − | 11.4286i | −0.182257 | − | 0.444859i | ||||
\(661\) | 33.3740 | + | 19.2685i | 1.29810 | + | 0.749457i | 0.980075 | − | 0.198626i | \(-0.0636478\pi\) |
0.318023 | + | 0.948083i | \(0.396981\pi\) | |||||||
\(662\) | −5.13331 | + | 6.33911i | −0.199512 | + | 0.246377i | ||||
\(663\) | −32.6836 | + | 1.71287i | −1.26932 | + | 0.0665224i | ||||
\(664\) | 5.24283 | − | 16.1358i | 0.203461 | − | 0.626189i | ||||
\(665\) | −19.8441 | − | 24.9480i | −0.769522 | − | 0.967442i | ||||
\(666\) | 1.21340 | + | 0.881586i | 0.0470183 | + | 0.0341608i | ||||
\(667\) | 2.47563 | + | 1.60769i | 0.0958566 | + | 0.0622500i | ||||
\(668\) | −9.54928 | − | 14.7046i | −0.369473 | − | 0.568938i | ||||
\(669\) | 9.48342 | − | 0.996748i | 0.366650 | − | 0.0385365i | ||||
\(670\) | 3.16422 | − | 6.15074i | 0.122245 | − | 0.237624i | ||||
\(671\) | −39.9594 | + | 3.14634i | −1.54261 | + | 0.121463i | ||||
\(672\) | 0.895219 | + | 4.31421i | 0.0345338 | + | 0.166424i | ||||
\(673\) | 7.33570 | − | 46.3158i | 0.282771 | − | 1.78534i | −0.281303 | − | 0.959619i | \(-0.590767\pi\) |
0.564074 | − | 0.825724i | \(-0.309233\pi\) | |||||||
\(674\) | 7.30018 | + | 6.57311i | 0.281193 | + | 0.253187i | ||||
\(675\) | 12.3837 | − | 23.8429i | 0.476648 | − | 0.917715i | ||||
\(676\) | 5.16132 | − | 2.29797i | 0.198512 | − | 0.0883833i | ||||
\(677\) | −16.8201 | − | 20.7711i | −0.646448 | − | 0.798297i | 0.343586 | − | 0.939121i | \(-0.388358\pi\) |
−0.990035 | + | 0.140824i | \(0.955025\pi\) | |||||||
\(678\) | 2.28067 | − | 1.16206i | 0.0875885 | − | 0.0446285i | ||||
\(679\) | −25.7779 | + | 25.5297i | −0.989266 | + | 0.979739i | ||||
\(680\) | −15.1095 | − | 5.86768i | −0.579423 | − | 0.225015i | ||||
\(681\) | 4.82694 | + | 8.36050i | 0.184969 | + | 0.320375i | ||||
\(682\) | −8.83538 | − | 11.5136i | −0.338324 | − | 0.440879i | ||||
\(683\) | −1.83982 | − | 6.86629i | −0.0703987 | − | 0.262731i | 0.921752 | − | 0.387780i | \(-0.126758\pi\) |
−0.992151 | + | 0.125049i | \(0.960091\pi\) | |||||||
\(684\) | −1.11539 | − | 0.496602i | −0.0426478 | − | 0.0189880i | ||||
\(685\) | −0.897342 | − | 8.87013i | −0.0342857 | − | 0.338910i | ||||
\(686\) | 18.5070 | − | 0.700718i | 0.706600 | − | 0.0267535i | ||||
\(687\) | −3.66126 | − | 23.1163i | −0.139686 | − | 0.881942i | ||||
\(688\) | 5.11237 | + | 6.31326i | 0.194907 | + | 0.240691i | ||||
\(689\) | −2.59517 | − | 2.88223i | −0.0988683 | − | 0.109804i | ||||
\(690\) | −2.35576 | − | 1.05988i | −0.0896823 | − | 0.0403488i | ||||
\(691\) | −5.02352 | + | 11.2830i | −0.191104 | + | 0.429226i | −0.983531 | − | 0.180741i | \(-0.942151\pi\) |
0.792427 | + | 0.609967i | \(0.208817\pi\) | |||||||
\(692\) | −15.7344 | + | 15.7344i | −0.598133 | + | 0.598133i | ||||
\(693\) | −1.51812 | + | 1.28404i | −0.0576684 | + | 0.0487765i | ||||
\(694\) | − | 12.2926i | − | 0.466623i | ||||||
\(695\) | −44.7544 | + | 6.90966i | −1.69763 | + | 0.262098i | ||||
\(696\) | 1.47337 | − | 6.93168i | 0.0558481 | − | 0.262744i | ||||
\(697\) | −2.76355 | + | 52.7317i | −0.104677 | + | 1.99736i | ||||
\(698\) | 26.3580 | − | 21.3443i | 0.997666 | − | 0.807894i | ||||
\(699\) | −39.5054 | − | 28.7023i | −1.49423 | − | 1.08562i | ||||
\(700\) | 6.75860 | − | 11.3720i | 0.255451 | − | 0.429819i | ||||
\(701\) | 2.77017 | + | 8.52572i | 0.104628 | + | 0.322012i | 0.989643 | − | 0.143551i | \(-0.0458520\pi\) |
−0.885015 | + | 0.465563i | \(0.845852\pi\) | |||||||
\(702\) | −5.22072 | − | 13.6004i | −0.197043 | − | 0.513316i | ||||
\(703\) | 34.4510 | − | 9.23112i | 1.29935 | − | 0.348158i | ||||
\(704\) | −2.40588 | − | 2.28293i | −0.0906749 | − | 0.0860410i | ||||
\(705\) | −16.8791 | − | 8.68339i | −0.635704 | − | 0.327035i | ||||
\(706\) | −6.29199 | − | 8.66019i | −0.236802 | − | 0.325930i | ||||
\(707\) | 4.62987 | + | 2.70301i | 0.174124 | + | 0.101657i | ||||
\(708\) | 0.132680 | + | 0.260400i | 0.00498644 | + | 0.00978643i | ||||
\(709\) | −25.3497 | − | 2.66436i | −0.952029 | − | 0.100062i | −0.384237 | − | 0.923234i | \(-0.625536\pi\) |
−0.567792 | + | 0.823172i | \(0.692202\pi\) | |||||||
\(710\) | 18.5190 | − | 3.86094i | 0.695006 | − | 0.144899i | ||||
\(711\) | −1.31327 | − | 1.45853i | −0.0492514 | − | 0.0546992i | ||||
\(712\) | 0.0384006 | + | 0.732727i | 0.00143912 | + | 0.0274601i | ||||
\(713\) | −2.99811 | − | 0.474854i | −0.112280 | − | 0.0177834i | ||||
\(714\) | 1.82587 | − | 31.8869i | 0.0683316 | − | 1.19334i | ||||
\(715\) | 9.52558 | + | 17.7067i | 0.356237 | + | 0.662192i | ||||
\(716\) | 12.9959 | + | 22.5096i | 0.485680 | + | 0.841222i | ||||
\(717\) | −12.1633 | − | 9.84962i | −0.454245 | − | 0.367841i | ||||
\(718\) | −13.1901 | + | 8.56578i | −0.492252 | + | 0.319672i | ||||
\(719\) | 6.85845 | − | 1.45781i | 0.255777 | − | 0.0543670i | −0.0782385 | − | 0.996935i | \(-0.524930\pi\) |
0.334015 | + | 0.942568i | \(0.391596\pi\) | |||||||
\(720\) | 0.0284894 | − | 0.505870i | 0.00106174 | − | 0.0188527i | ||||
\(721\) | 10.8713 | + | 28.7355i | 0.404868 | + | 1.07017i | ||||
\(722\) | −8.94039 | + | 4.55536i | −0.332727 | + | 0.169533i | ||||
\(723\) | 0.462951 | + | 8.83364i | 0.0172173 | + | 0.328527i | ||||
\(724\) | 0.252318 | + | 2.40064i | 0.00937731 | + | 0.0892192i | ||||
\(725\) | −17.3099 | + | 12.3713i | −0.642873 | + | 0.459460i | ||||
\(726\) | −4.73999 | + | 17.6951i | −0.175918 | + | 0.656725i | ||||
\(727\) | 17.6537 | − | 17.6537i | 0.654740 | − | 0.654740i | −0.299391 | − | 0.954131i | \(-0.596783\pi\) |
0.954131 | + | 0.299391i | \(0.0967834\pi\) | |||||||
\(728\) | −2.18354 | − | 6.83255i | −0.0809273 | − | 0.253231i | ||||
\(729\) | 27.3140 | − | 8.87485i | 1.01163 | − | 0.328698i | ||||
\(730\) | 24.3275 | + | 24.5179i | 0.900400 | + | 0.907447i | ||||
\(731\) | −23.9514 | − | 53.7958i | −0.885875 | − | 1.98971i | ||||
\(732\) | 18.7898 | + | 7.21274i | 0.694492 | + | 0.266591i | ||||
\(733\) | −15.1267 | − | 9.82337i | −0.558716 | − | 0.362834i | 0.234178 | − | 0.972194i | \(-0.424760\pi\) |
−0.792894 | + | 0.609359i | \(0.791427\pi\) | |||||||
\(734\) | 5.80977 | + | 17.8806i | 0.214443 | + | 0.659986i | ||||
\(735\) | 25.4214 | + | 5.76525i | 0.937682 | + | 0.212654i | ||||
\(736\) | −0.693692 | −0.0255698 | ||||||||
\(737\) | −9.25988 | + | 4.41715i | −0.341092 | + | 0.162708i | ||||
\(738\) | −1.59436 | + | 0.427206i | −0.0586891 | + | 0.0157257i | ||||
\(739\) | −31.4141 | + | 3.30175i | −1.15559 | + | 0.121457i | −0.662871 | − | 0.748734i | \(-0.730662\pi\) |
−0.492715 | + | 0.870191i | \(0.663996\pi\) | |||||||
\(740\) | 8.65304 | + | 12.0080i | 0.318092 | + | 0.441425i | ||||
\(741\) | −23.1376 | − | 7.51785i | −0.849980 | − | 0.276175i | ||||
\(742\) | 3.07277 | − | 2.20986i | 0.112805 | − | 0.0811267i | ||||
\(743\) | −0.935777 | + | 0.148212i | −0.0343303 | + | 0.00543739i | −0.173576 | − | 0.984820i | \(-0.555532\pi\) |
0.139246 | + | 0.990258i | \(0.455532\pi\) | |||||||
\(744\) | 1.51512 | + | 7.12808i | 0.0555470 | + | 0.261328i | ||||
\(745\) | 8.33023 | + | 21.9564i | 0.305196 | + | 0.804422i | ||||
\(746\) | −0.152919 | − | 1.45493i | −0.00559878 | − | 0.0532688i | ||||
\(747\) | −3.71337 | − | 0.994995i | −0.135865 | − | 0.0364050i | ||||
\(748\) | 12.5625 | + | 20.4984i | 0.459329 | + | 0.749495i | ||||
\(749\) | −22.4572 | − | 14.7388i | −0.820567 | − | 0.538545i | ||||
\(750\) | 13.3189 | − | 13.0109i | 0.486336 | − | 0.475092i | ||||
\(751\) | 29.7961 | − | 33.0919i | 1.08727 | − | 1.20754i | 0.110363 | − | 0.993891i | \(-0.464799\pi\) |
0.976911 | − | 0.213648i | \(-0.0685347\pi\) | |||||||
\(752\) | −5.09035 | − | 0.266774i | −0.185626 | − | 0.00972825i | ||||
\(753\) | −5.54656 | + | 14.4493i | −0.202128 | + | 0.526561i | ||||
\(754\) | −1.20590 | + | 11.4734i | −0.0439164 | + | 0.417836i | ||||
\(755\) | 1.14421 | + | 4.33781i | 0.0416420 | + | 0.157869i | ||||
\(756\) | 13.7500 | − | 3.61307i | 0.500081 | − | 0.131406i | ||||
\(757\) | 19.8886 | + | 3.15005i | 0.722864 | + | 0.114490i | 0.507016 | − | 0.861937i | \(-0.330748\pi\) |
0.215848 | + | 0.976427i | \(0.430748\pi\) | |||||||
\(758\) | 13.7369 | + | 3.68080i | 0.498948 | + | 0.133693i | ||||
\(759\) | 1.82836 | + | 3.36713i | 0.0663653 | + | 0.122219i | ||||
\(760\) | −8.92240 | − | 8.09697i | −0.323650 | − | 0.293708i | ||||
\(761\) | −0.442409 | + | 0.993667i | −0.0160373 | + | 0.0360204i | −0.921387 | − | 0.388647i | \(-0.872942\pi\) |
0.905349 | + | 0.424668i | \(0.139609\pi\) | |||||||
\(762\) | 22.1040 | + | 11.2625i | 0.800743 | + | 0.407999i | ||||
\(763\) | −4.90622 | − | 11.1646i | −0.177617 | − | 0.404186i | ||||
\(764\) | 7.60805 | − | 10.4716i | 0.275250 | − | 0.378849i | ||||
\(765\) | −1.14856 | + | 3.48856i | −0.0415261 | + | 0.126129i | ||||
\(766\) | −8.53892 | + | 7.68848i | −0.308524 | + | 0.277796i | ||||
\(767\) | −0.259127 | − | 0.399020i | −0.00935653 | − | 0.0144078i | ||||
\(768\) | 0.596810 | + | 1.55474i | 0.0215355 | + | 0.0561020i | ||||
\(769\) | 36.9221 | 1.33145 | 0.665723 | − | 0.746199i | \(-0.268123\pi\) | ||||
0.665723 | + | 0.746199i | \(0.268123\pi\) | |||||||
\(770\) | −18.1925 | + | 7.35079i | −0.655611 | + | 0.264904i | ||||
\(771\) | −9.64240 | −0.347263 | ||||||||
\(772\) | 3.68449 | + | 9.59843i | 0.132608 | + | 0.345455i | ||||
\(773\) | 2.00423 | + | 3.08625i | 0.0720873 | + | 0.111005i | 0.872876 | − | 0.487943i | \(-0.162253\pi\) |
−0.800788 | + | 0.598947i | \(0.795586\pi\) | |||||||
\(774\) | 1.36794 | − | 1.23169i | 0.0491694 | − | 0.0442723i | ||||
\(775\) | 11.0870 | − | 18.8621i | 0.398256 | − | 0.677545i | ||||
\(776\) | −8.06012 | + | 11.0938i | −0.289341 | + | 0.398244i | ||||
\(777\) | −17.2567 | + | 23.5117i | −0.619080 | + | 0.843477i | ||||
\(778\) | 5.42716 | + | 2.76527i | 0.194573 | + | 0.0991399i | ||||
\(779\) | −15.9649 | + | 35.8578i | −0.572003 | + | 1.28474i | ||||
\(780\) | −0.489068 | − | 10.0840i | −0.0175115 | − | 0.361065i | ||||
\(781\) | −25.3259 | − | 12.0787i | −0.906230 | − | 0.432209i | ||||
\(782\) | 4.85711 | + | 1.30146i | 0.173690 | + | 0.0465400i | ||||
\(783\) | −22.5838 | − | 3.57693i | −0.807080 | − | 0.127829i | ||||
\(784\) | 6.86080 | − | 1.38906i | 0.245028 | − | 0.0496091i | ||||
\(785\) | −45.0573 | − | 26.2486i | −1.60817 | − | 0.936853i | ||||
\(786\) | −0.598842 | + | 5.69760i | −0.0213600 | + | 0.203227i | ||||
\(787\) | −15.1199 | + | 39.3888i | −0.538967 | + | 1.40406i | 0.345925 | + | 0.938262i | \(0.387565\pi\) |
−0.884892 | + | 0.465795i | \(0.845768\pi\) | |||||||
\(788\) | 1.89783 | + | 0.0994610i | 0.0676074 | + | 0.00354315i | ||||
\(789\) | 19.7535 | − | 21.9385i | 0.703243 | − | 0.781030i | ||||
\(790\) | −7.80867 | − | 17.7242i | −0.277820 | − | 0.630598i | ||||
\(791\) | −1.82861 | − | 3.63219i | −0.0650178 | − | 0.129146i | ||||
\(792\) | −0.488049 | + | 0.571474i | −0.0173421 | + | 0.0203065i | ||||
\(793\) | −31.6489 | − | 8.48030i | −1.12389 | − | 0.301144i | ||||
\(794\) | 2.37994 | + | 22.6436i | 0.0844610 | + | 0.803593i | ||||
\(795\) | 4.98075 | − | 1.88969i | 0.176649 | − | 0.0670203i | ||||
\(796\) | 1.59952 | + | 7.52517i | 0.0566936 | + | 0.266723i | ||||
\(797\) | 12.7877 | − | 2.02537i | 0.452963 | − | 0.0717424i | 0.0742155 | − | 0.997242i | \(-0.476355\pi\) |
0.378748 | + | 0.925500i | \(0.376355\pi\) | |||||||
\(798\) | 9.76140 | − | 21.6420i | 0.345550 | − | 0.766120i | ||||
\(799\) | 35.1412 | + | 11.4181i | 1.24321 | + | 0.403943i | ||||
\(800\) | 1.82818 | − | 4.65379i | 0.0646359 | − | 0.164536i | ||||
\(801\) | 0.165346 | − | 0.0173785i | 0.00584221 | − | 0.000614041i | ||||
\(802\) | 8.92455 | − | 2.39133i | 0.315137 | − | 0.0844406i | ||||
\(803\) | −6.68868 | − | 50.7913i | −0.236038 | − | 1.79239i | ||||
\(804\) | 5.15152 | 0.181680 | ||||||||
\(805\) | −1.70191 | + | 3.73441i | −0.0599846 | + | 0.131621i | ||||
\(806\) | −3.66601 | − | 11.2828i | −0.129130 | − | 0.397421i | ||||
\(807\) | 25.4390 | + | 16.5203i | 0.895496 | + | 0.581542i | ||||
\(808\) | 1.89174 | + | 0.726170i | 0.0665511 | + | 0.0255466i | ||||
\(809\) | 8.48796 | + | 19.0643i | 0.298421 | + | 0.670264i | 0.999064 | − | 0.0432476i | \(-0.0137704\pi\) |
−0.700644 | + | 0.713511i | \(0.747104\pi\) | |||||||
\(810\) | 18.4897 | + | 0.0720798i | 0.649660 | + | 0.00253263i | ||||
\(811\) | 34.7635 | − | 11.2954i | 1.22071 | − | 0.396633i | 0.373371 | − | 0.927682i | \(-0.378202\pi\) |
0.847341 | + | 0.531049i | \(0.178202\pi\) | |||||||
\(812\) | −11.0009 | − | 2.39400i | −0.386056 | − | 0.0840131i | ||||
\(813\) | −6.94661 | + | 6.94661i | −0.243628 | + | 0.243628i | ||||
\(814\) | 0.573872 | − | 21.9459i | 0.0201142 | − | 0.769202i | ||||
\(815\) | −14.9729 | − | 13.5877i | −0.524477 | − | 0.475956i | ||||
\(816\) | −1.26185 | − | 12.0057i | −0.0441737 | − | 0.420285i | ||||
\(817\) | −2.29089 | − | 43.7128i | −0.0801482 | − | 1.52932i | ||||
\(818\) | 19.5305 | − | 9.95127i | 0.682866 | − | 0.347938i | ||||
\(819\) | −1.52017 | + | 0.575117i | −0.0531192 | + | 0.0200962i | ||||
\(820\) | −16.2629 | − | 0.915888i | −0.567925 | − | 0.0319842i | ||||
\(821\) | 31.1099 | − | 6.61261i | 1.08574 | − | 0.230782i | 0.369920 | − | 0.929064i | \(-0.379385\pi\) |
0.715823 | + | 0.698282i | \(0.246052\pi\) | |||||||
\(822\) | 5.56871 | − | 3.61636i | 0.194231 | − | 0.126135i | ||||
\(823\) | 27.5332 | + | 22.2959i | 0.959747 | + | 0.777188i | 0.974888 | − | 0.222698i | \(-0.0714863\pi\) |
−0.0151406 | + | 0.999885i | \(0.504820\pi\) | |||||||
\(824\) | 5.80613 | + | 10.0565i | 0.202266 | + | 0.350335i | ||||
\(825\) | −27.4077 | + | 3.39213i | −0.954213 | + | 0.118099i | ||||
\(826\) | 0.414713 | − | 0.208785i | 0.0144297 | − | 0.00726457i | ||||
\(827\) | −0.136413 | − | 0.0216057i | −0.00474355 | − | 0.000751304i | 0.154062 | − | 0.988061i | \(-0.450764\pi\) |
−0.158806 | + | 0.987310i | \(0.550764\pi\) | |||||||
\(828\) | 0.00822637 | + | 0.156968i | 0.000285886 | + | 0.00545503i | ||||
\(829\) | 15.6611 | + | 17.3935i | 0.543934 | + | 0.604100i | 0.950959 | − | 0.309317i | \(-0.100100\pi\) |
−0.407025 | + | 0.913417i | \(0.633434\pi\) | |||||||
\(830\) | −31.7363 | − | 20.7861i | −1.10158 | − | 0.721496i | ||||
\(831\) | 28.4406 | + | 2.98923i | 0.986594 | + | 0.103695i | ||||
\(832\) | −1.23083 | − | 2.41564i | −0.0426713 | − | 0.0837471i | ||||
\(833\) | −50.6441 | − | 3.14584i | −1.75471 | − | 0.108997i | ||||
\(834\) | −19.8240 | − | 27.2854i | −0.686449 | − | 0.944817i | ||||
\(835\) | −37.3336 | + | 11.9697i | −1.29198 | + | 0.414229i | ||||
\(836\) | 3.25738 | + | 17.5717i | 0.112659 | + | 0.607729i | ||||
\(837\) | 22.7120 | − | 6.08567i | 0.785042 | − | 0.210351i | ||||
\(838\) | −2.69947 | − | 7.03236i | −0.0932516 | − | 0.242929i | ||||
\(839\) | 5.07481 | + | 15.6186i | 0.175202 | + | 0.539216i | 0.999643 | − | 0.0267325i | \(-0.00851024\pi\) |
−0.824441 | + | 0.565948i | \(0.808510\pi\) | |||||||
\(840\) | 9.83399 | + | 0.601574i | 0.339305 | + | 0.0207563i | ||||
\(841\) | −8.81238 | − | 6.40257i | −0.303875 | − | 0.220778i | ||||
\(842\) | −14.5308 | + | 11.7668i | −0.500765 | + | 0.405511i | ||||
\(843\) | 0.527141 | − | 10.0584i | 0.0181557 | − | 0.346431i | ||||
\(844\) | −1.15396 | + | 5.42897i | −0.0397211 | + | 0.186873i | ||||
\(845\) | −1.92762 | − | 12.4853i | −0.0663121 | − | 0.429508i | ||||
\(846\) | 1.15501i | 0.0397100i | ||||||||
\(847\) | 28.0754 | + | 7.66636i | 0.964681 | + | 0.263419i | ||||
\(848\) | 1.01156 | − | 1.01156i | 0.0347370 | − | 0.0347370i | ||||
\(849\) | −4.23985 | + | 9.52286i | −0.145511 | + | 0.326824i | ||||
\(850\) | −21.5317 | + | 29.1551i | −0.738532 | + | 1.00001i | ||||
\(851\) | −3.07243 | − | 3.41228i | −0.105322 | − | 0.116972i | ||||
\(852\) | 8.86647 | + | 10.9492i | 0.303760 | + | 0.375113i | ||||
\(853\) | −4.43445 | − | 27.9980i | −0.151833 | − | 0.958635i | −0.939504 | − | 0.342538i | \(-0.888713\pi\) |
0.787671 | − | 0.616096i | \(-0.211287\pi\) | |||||||
\(854\) | 11.6032 | − | 29.7956i | 0.397053 | − | 1.01959i | ||||
\(855\) | −1.72637 | + | 2.11498i | −0.0590407 | + | 0.0723308i | ||||
\(856\) | −9.27506 | − | 4.12952i | −0.317015 | − | 0.141144i | ||||
\(857\) | 9.64137 | + | 35.9821i | 0.329343 | + | 1.22912i | 0.909873 | + | 0.414886i | \(0.136178\pi\) |
−0.580531 | + | 0.814238i | \(0.697155\pi\) | |||||||
\(858\) | −8.48123 | + | 12.3412i | −0.289544 | + | 0.421323i | ||||
\(859\) | −21.8642 | − | 37.8700i | −0.745998 | − | 1.29211i | −0.949727 | − | 0.313079i | \(-0.898640\pi\) |
0.203729 | − | 0.979027i | \(-0.434694\pi\) | |||||||
\(860\) | 16.6232 | − | 7.32363i | 0.566848 | − | 0.249734i | ||||
\(861\) | −8.15705 | − | 31.0426i | −0.277992 | − | 1.05793i | ||||
\(862\) | 7.30122 | − | 3.72016i | 0.248681 | − | 0.126709i | ||||
\(863\) | 20.5915 | + | 25.4284i | 0.700942 | + | 0.865592i | 0.995951 | − | 0.0899030i | \(-0.0286557\pi\) |
−0.295008 | + | 0.955495i | \(0.595322\pi\) | |||||||
\(864\) | 4.90886 | − | 2.18557i | 0.167003 | − | 0.0743545i | ||||
\(865\) | 24.7101 | + | 43.1872i | 0.840170 | + | 1.46841i | ||||
\(866\) | −12.6931 | − | 11.4289i | −0.431330 | − | 0.388371i | ||||
\(867\) | −9.26024 | + | 58.4669i | −0.314494 | + | 1.98564i | ||||
\(868\) | 11.3359 | − | 2.35225i | 0.384765 | − | 0.0798406i | ||||
\(869\) | −6.70528 | + | 27.9340i | −0.227461 | + | 0.947596i | ||||
\(870\) | −14.0907 | − | 7.24891i | −0.477720 | − | 0.245761i | ||||
\(871\) | −8.34052 | + | 0.876624i | −0.282608 | + | 0.0297033i | ||||
\(872\) | −2.51041 | − | 3.86569i | −0.0850131 | − | 0.130909i | ||||
\(873\) | 2.60589 | + | 1.69228i | 0.0881959 | + | 0.0572751i | ||||
\(874\) | 3.02397 | + | 2.19705i | 0.102287 | + | 0.0743162i | ||||
\(875\) | −20.5678 | − | 21.2595i | −0.695320 | − | 0.718701i | ||||
\(876\) | −7.94906 | + | 24.4647i | −0.268574 | + | 0.826585i | ||||
\(877\) | 45.7495 | − | 2.39763i | 1.54485 | − | 0.0809621i | 0.739253 | − | 0.673427i | \(-0.235179\pi\) |
0.805596 | + | 0.592465i | \(0.201845\pi\) | |||||||
\(878\) | 25.4849 | − | 31.4713i | 0.860075 | − | 1.06210i | ||||
\(879\) | −23.2126 | − | 13.4018i | −0.782942 | − | 0.452032i | ||||
\(880\) | −6.33827 | + | 3.85050i | −0.213663 | + | 0.129800i | ||||
\(881\) | − | 1.24914i | − | 0.0420847i | −0.999779 | − | 0.0210423i | \(-0.993302\pi\) | ||
0.999779 | − | 0.0210423i | \(-0.00669848\pi\) | |||||||
\(882\) | −0.395676 | − | 1.53599i | −0.0133231 | − | 0.0517194i | ||||
\(883\) | 10.6651 | + | 5.43416i | 0.358910 | + | 0.182874i | 0.624142 | − | 0.781311i | \(-0.285449\pi\) |
−0.265232 | + | 0.964185i | \(0.585449\pi\) | |||||||
\(884\) | 4.08598 | + | 19.2230i | 0.137427 | + | 0.646541i | ||||
\(885\) | 0.639743 | − | 0.133377i | 0.0215047 | − | 0.00448342i | ||||
\(886\) | 32.0634 | − | 14.2755i | 1.07719 | − | 0.479596i | ||||
\(887\) | −24.8811 | + | 38.3135i | −0.835425 | + | 1.28644i | 0.120465 | + | 0.992718i | \(0.461562\pi\) |
−0.955890 | + | 0.293725i | \(0.905105\pi\) | |||||||
\(888\) | −5.00447 | + | 9.82183i | −0.167939 | + | 0.329599i | ||||
\(889\) | 18.0625 | − | 35.0296i | 0.605797 | − | 1.17486i | ||||
\(890\) | 1.60348 | + | 0.347369i | 0.0537488 | + | 0.0116438i | ||||
\(891\) | −21.7582 | − | 16.6944i | −0.728926 | − | 0.559282i | ||||
\(892\) | −1.48197 | − | 5.53079i | −0.0496201 | − | 0.185185i | ||||
\(893\) | 21.3452 | + | 17.2850i | 0.714289 | + | 0.578420i | ||||
\(894\) | −11.7030 | + | 12.9975i | −0.391407 | + | 0.434701i | ||||
\(895\) | 56.1973 | − | 14.8235i | 1.87847 | − | 0.495494i | ||||
\(896\) | 2.47458 | − | 0.936190i | 0.0826699 | − | 0.0312759i | ||||
\(897\) | 0.489956 | + | 3.09346i | 0.0163591 | + | 0.103288i | ||||
\(898\) | 7.20989 | − | 11.1023i | 0.240597 | − | 0.370487i | ||||
\(899\) | −18.2135 | − | 3.87139i | −0.607453 | − | 0.129118i | ||||
\(900\) | −1.07474 | − | 0.358492i | −0.0358246 | − | 0.0119497i | ||||
\(901\) | −8.98055 | + | 5.18492i | −0.299185 | + | 0.172735i | ||||
\(902\) | 18.3720 | + | 15.6900i | 0.611720 | + | 0.522419i | ||||
\(903\) | 23.8217 | + | 26.7155i | 0.792736 | + | 0.889036i | ||||
\(904\) | −0.903426 | − | 1.24346i | −0.0300475 | − | 0.0413568i | ||||
\(905\) | 5.32778 | + | 0.865142i | 0.177101 | + | 0.0287583i | ||||
\(906\) | −2.48297 | + | 2.23568i | −0.0824913 | + | 0.0742755i | ||||
\(907\) | −22.3084 | − | 8.56339i | −0.740738 | − | 0.284343i | −0.0414087 | − | 0.999142i | \(-0.513185\pi\) |
−0.699329 | + | 0.714800i | \(0.746518\pi\) | |||||||
\(908\) | 4.50502 | − | 3.64810i | 0.149504 | − | 0.121066i | ||||
\(909\) | 0.141884 | − | 0.436674i | 0.00470599 | − | 0.0144836i | ||||
\(910\) | −16.0240 | + | 0.699459i | −0.531191 | + | 0.0231868i | ||||
\(911\) | −34.9432 | + | 25.3877i | −1.15772 | + | 0.841133i | −0.989488 | − | 0.144614i | \(-0.953806\pi\) |
−0.168233 | + | 0.985747i | \(0.553806\pi\) | |||||||
\(912\) | 2.32251 | − | 8.66771i | 0.0769059 | − | 0.287017i | ||||
\(913\) | 18.7854 | + | 53.0421i | 0.621705 | + | 1.75544i | ||||
\(914\) | 33.1693 | + | 19.1503i | 1.09714 | + | 0.633436i | ||||
\(915\) | 26.5947 | − | 36.3060i | 0.879195 | − | 1.20024i | ||||
\(916\) | −13.3659 | + | 4.34284i | −0.441621 | + | 0.143491i | ||||
\(917\) | 9.04707 | + | 0.995166i | 0.298760 | + | 0.0328633i | ||||
\(918\) | −38.4714 | + | 6.09327i | −1.26975 | + | 0.201108i | ||||
\(919\) | 55.6682 | + | 5.85096i | 1.83632 | + | 0.193005i | 0.958329 | − | 0.285665i | \(-0.0922145\pi\) |
0.877995 | + | 0.478671i | \(0.158881\pi\) | |||||||
\(920\) | −0.407303 | + | 1.49671i | −0.0134284 | + | 0.0493451i | ||||
\(921\) | −40.1873 | − | 8.54208i | −1.32422 | − | 0.281471i | ||||
\(922\) | −5.34930 | + | 2.05340i | −0.176170 | + | 0.0676252i | ||||
\(923\) | −16.2184 | − | 16.2184i | −0.533835 | − | 0.533835i | ||||
\(924\) | −11.0664 | − | 9.54392i | −0.364059 | − | 0.313972i | ||||
\(925\) | 30.9893 | − | 11.6193i | 1.01892 | − | 0.382039i | ||||
\(926\) | −7.01049 | − | 3.12127i | −0.230379 | − | 0.102571i | ||||
\(927\) | 2.20673 | − | 1.43307i | 0.0724786 | − | 0.0470681i | ||||
\(928\) | −4.24944 | − | 0.222703i | −0.139495 | − | 0.00731060i | ||||
\(929\) | −2.52964 | + | 24.0679i | −0.0829948 | + | 0.789643i | 0.871295 | + | 0.490760i | \(0.163281\pi\) |
−0.954290 | + | 0.298883i | \(0.903386\pi\) | |||||||
\(930\) | 16.2692 | + | 0.916242i | 0.533487 | + | 0.0300448i | ||||
\(931\) | −34.3073 | − | 15.6741i | −1.12438 | − | 0.513699i | ||||
\(932\) | −13.3118 | + | 26.1260i | −0.436044 | + | 0.855784i | ||||
\(933\) | −21.8804 | + | 8.39909i | −0.716332 | + | 0.274974i | ||||
\(934\) | 17.4020 | − | 30.1412i | 0.569411 | − | 0.986249i | ||||
\(935\) | 51.6035 | − | 15.0691i | 1.68761 | − | 0.492813i | ||||
\(936\) | −0.532013 | + | 0.307158i | −0.0173894 | + | 0.0100398i | ||||
\(937\) | 4.13462 | − | 26.1050i | 0.135072 | − | 0.852812i | −0.823366 | − | 0.567511i | \(-0.807907\pi\) |
0.958438 | − | 0.285301i | \(-0.0920935\pi\) | |||||||
\(938\) | 0.0395995 | − | 8.18412i | 0.00129297 | − | 0.267221i | ||||
\(939\) | 3.18442 | + | 1.03468i | 0.103920 | + | 0.0337655i | ||||
\(940\) | −3.56441 | + | 10.8263i | −0.116258 | + | 0.353116i | ||||
\(941\) | −20.5587 | − | 46.1755i | −0.670193 | − | 1.50528i | −0.852880 | − | 0.522108i | \(-0.825146\pi\) |
0.182686 | − | 0.983171i | \(-0.441521\pi\) | |||||||
\(942\) | 2.03254 | − | 38.7832i | 0.0662237 | − | 1.26362i | ||||
\(943\) | 5.04628 | − | 0.264464i | 0.164329 | − | 0.00861214i | ||||
\(944\) | 0.141975 | − | 0.103151i | 0.00462088 | − | 0.00335727i | ||||
\(945\) | 0.277739 | − | 31.7884i | 0.00903486 | − | 1.03408i | ||||
\(946\) | −26.1989 | − | 6.28878i | −0.851798 | − | 0.204466i | ||||
\(947\) | 5.86545 | − | 21.8901i | 0.190601 | − | 0.711334i | −0.802760 | − | 0.596302i | \(-0.796636\pi\) |
0.993362 | − | 0.115032i | \(-0.0366972\pi\) | |||||||
\(948\) | 9.07779 | − | 11.2101i | 0.294833 | − | 0.364088i | ||||
\(949\) | 8.70675 | − | 40.9620i | 0.282633 | − | 1.32968i | ||||
\(950\) | −22.7089 | + | 14.4968i | −0.736773 | + | 0.470340i | ||||
\(951\) | −2.25947 | + | 3.10989i | −0.0732682 | + | 0.100845i | ||||
\(952\) | −19.0830 | + | 1.91240i | −0.618483 | + | 0.0619811i | ||||
\(953\) | 8.21636 | + | 16.1255i | 0.266154 | + | 0.522357i | 0.984945 | − | 0.172870i | \(-0.0553040\pi\) |
−0.718791 | + | 0.695227i | \(0.755304\pi\) | |||||||
\(954\) | −0.240891 | − | 0.216899i | −0.00779912 | − | 0.00702236i | ||||
\(955\) | −18.1264 | − | 22.5636i | −0.586558 | − | 0.730140i | ||||
\(956\) | −4.69905 | + | 8.13900i | −0.151978 | + | 0.263234i | ||||
\(957\) | 10.1192 | + | 21.2134i | 0.327108 | + | 0.685733i | ||||
\(958\) | −18.7815 | − | 18.7815i | −0.606802 | − | 0.606802i | ||||
\(959\) | −5.70244 | − | 8.87471i | −0.184141 | − | 0.286579i | ||||
\(960\) | 3.70494 | − | 0.374808i | 0.119576 | − | 0.0120969i | ||||
\(961\) | −11.5931 | + | 2.46418i | −0.373970 | + | 0.0794897i | ||||
\(962\) | 6.43109 | − | 16.7536i | 0.207347 | − | 0.540156i | ||||
\(963\) | −0.824436 | + | 2.14773i | −0.0265671 | + | 0.0692096i | ||||
\(964\) | 5.19556 | − | 1.10435i | 0.167338 | − | 0.0355687i | ||||
\(965\) | 22.8730 | − | 2.31393i | 0.736306 | − | 0.0744880i | ||||
\(966\) | −3.05304 | + | 0.145194i | −0.0982299 | + | 0.00467153i | ||||
\(967\) | 18.8577 | + | 18.8577i | 0.606424 | + | 0.606424i | 0.942010 | − | 0.335586i | \(-0.108934\pi\) |
−0.335586 | + | 0.942010i | \(0.608934\pi\) | |||||||
\(968\) | 10.9398 | + | 1.14902i | 0.351619 | + | 0.0369308i | ||||
\(969\) | −32.5235 | + | 56.3324i | −1.04481 | + | 1.80966i | ||||
\(970\) | 19.2035 | + | 23.9043i | 0.616587 | + | 0.767521i | ||||
\(971\) | 9.95001 | + | 8.95903i | 0.319311 | + | 0.287509i | 0.813162 | − | 0.582038i | \(-0.197744\pi\) |
−0.493851 | + | 0.869547i | \(0.664411\pi\) | |||||||
\(972\) | −1.06671 | − | 2.09353i | −0.0342147 | − | 0.0671501i | ||||
\(973\) | −43.5002 | + | 31.2843i | −1.39455 | + | 1.00293i | ||||
\(974\) | 0.726742 | − | 1.00027i | 0.0232863 | − | 0.0320508i | ||||
\(975\) | −22.0444 | − | 4.86563i | −0.705986 | − | 0.155825i | ||||
\(976\) | 2.51272 | − | 11.8214i | 0.0804301 | − | 0.378394i | ||||
\(977\) | 36.9436 | − | 45.6216i | 1.18193 | − | 1.45956i | 0.323807 | − | 0.946123i | \(-0.395037\pi\) |
0.858125 | − | 0.513442i | \(-0.171630\pi\) | |||||||
\(978\) | 3.89745 | − | 14.5455i | 0.124627 | − | 0.465113i | ||||
\(979\) | −1.58051 | − | 1.85040i | −0.0505133 | − | 0.0591391i | ||||
\(980\) | 1.03130 | − | 15.6185i | 0.0329438 | − | 0.498914i | ||||
\(981\) | −0.844956 | + | 0.613897i | −0.0269774 | + | 0.0196002i | ||||
\(982\) | −22.3694 | + | 1.17233i | −0.713835 | + | 0.0374105i | ||||
\(983\) | −0.640708 | + | 12.2254i | −0.0204354 | + | 0.389931i | 0.969195 | + | 0.246294i | \(0.0792130\pi\) |
−0.989630 | + | 0.143637i | \(0.954120\pi\) | |||||||
\(984\) | −4.93424 | − | 11.0825i | −0.157298 | − | 0.353297i | ||||
\(985\) | 1.32891 | − | 4.03636i | 0.0423427 | − | 0.128609i | ||||
\(986\) | 29.3360 | + | 9.53183i | 0.934247 | + | 0.303555i | ||||
\(987\) | −22.4592 | − | 0.108671i | −0.714885 | − | 0.00345903i | ||||
\(988\) | −2.28527 | + | 14.4286i | −0.0727040 | + | 0.459035i | ||||
\(989\) | −4.88032 | + | 2.81765i | −0.155185 | + | 0.0895961i | ||||
\(990\) | 0.946456 | + | 1.38856i | 0.0300803 | + | 0.0441313i | ||||
\(991\) | −2.02284 | + | 3.50366i | −0.0642577 | + | 0.111298i | −0.896364 | − | 0.443318i | \(-0.853801\pi\) |
0.832107 | + | 0.554615i | \(0.187135\pi\) | |||||||
\(992\) | 4.08520 | − | 1.56816i | 0.129705 | − | 0.0497891i | ||||
\(993\) | −6.16708 | + | 12.1036i | −0.195706 | + | 0.384096i | ||||
\(994\) | 17.4629 | − | 14.0018i | 0.553890 | − | 0.444111i | ||||
\(995\) | 17.1755 | + | 0.967284i | 0.544500 | + | 0.0306650i | ||||
\(996\) | 2.95342 | − | 28.0999i | 0.0935827 | − | 0.890380i | ||||
\(997\) | −27.5587 | − | 1.44429i | −0.872794 | − | 0.0457412i | −0.389323 | − | 0.921101i | \(-0.627291\pi\) |
−0.483471 | + | 0.875360i | \(0.660624\pi\) | |||||||
\(998\) | 6.37311 | − | 4.13875i | 0.201737 | − | 0.131010i | ||||
\(999\) | 32.4927 | + | 14.4667i | 1.02802 | + | 0.457705i |
(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 | 770.2.bv.a.157.7 | yes | 768 | |
5.3 | odd | 4 | inner | 770.2.bv.a.3.18 | ✓ | 768 | |
7.5 | odd | 6 | inner | 770.2.bv.a.47.7 | yes | 768 | |
11.4 | even | 5 | inner | 770.2.bv.a.367.31 | yes | 768 | |
35.33 | even | 12 | inner | 770.2.bv.a.663.31 | yes | 768 | |
55.48 | odd | 20 | inner | 770.2.bv.a.213.7 | yes | 768 | |
77.26 | odd | 30 | inner | 770.2.bv.a.257.18 | yes | 768 | |
385.103 | even | 60 | inner | 770.2.bv.a.103.7 | yes | 768 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
770.2.bv.a.3.18 | ✓ | 768 | 5.3 | odd | 4 | inner | |
770.2.bv.a.47.7 | yes | 768 | 7.5 | odd | 6 | inner | |
770.2.bv.a.103.7 | yes | 768 | 385.103 | even | 60 | inner | |
770.2.bv.a.157.7 | yes | 768 | 1.1 | even | 1 | trivial | |
770.2.bv.a.213.7 | yes | 768 | 55.48 | odd | 20 | inner | |
770.2.bv.a.257.18 | yes | 768 | 77.26 | odd | 30 | inner | |
770.2.bv.a.367.31 | yes | 768 | 11.4 | even | 5 | inner | |
770.2.bv.a.663.31 | yes | 768 | 35.33 | even | 12 | inner |