Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [920,2,Mod(19,920)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(920, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 11, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("920.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 920 = 2^{3} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 920.bn (of order \(22\), degree \(10\), 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: | \(7.34623698596\) |
Analytic rank: | \(0\) |
Dimension: | \(1360\) |
Relative dimension: | \(136\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 339.103 | ||
Character | \(\chi\) | \(=\) | 920.339 |
Dual form | 920.2.bn.b.19.103 |
$q$-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 \(\left(\mathbb{Z}/920\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(281\) | \(461\) | \(737\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{22}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.01425 | − | 0.985544i | 0.717183 | − | 0.696885i | ||||
\(3\) | −0.0658035 | + | 0.224106i | −0.0379916 | + | 0.129388i | −0.976305 | − | 0.216398i | \(-0.930569\pi\) |
0.938314 | + | 0.345785i | \(0.112387\pi\) | |||||||
\(4\) | 0.0574057 | − | 1.99918i | 0.0287028 | − | 0.999588i | ||||
\(5\) | −0.0287344 | − | 2.23588i | −0.0128504 | − | 0.999917i | ||||
\(6\) | 0.154125 | + | 0.292152i | 0.0629213 | + | 0.119270i | ||||
\(7\) | −3.12031 | − | 0.448633i | −1.17937 | − | 0.169567i | −0.475380 | − | 0.879781i | \(-0.657689\pi\) |
−0.703987 | + | 0.710213i | \(0.748599\pi\) | |||||||
\(8\) | −1.91205 | − | 2.08424i | −0.676013 | − | 0.736890i | ||||
\(9\) | 2.47787 | + | 1.59243i | 0.825956 | + | 0.530810i | ||||
\(10\) | −2.23271 | − | 2.23943i | −0.706043 | − | 0.708169i | ||||
\(11\) | 0.180489 | − | 0.0824266i | 0.0544195 | − | 0.0248526i | −0.388019 | − | 0.921651i | \(-0.626841\pi\) |
0.442439 | + | 0.896799i | \(0.354113\pi\) | |||||||
\(12\) | 0.444250 | + | 0.144418i | 0.128244 | + | 0.0416898i | ||||
\(13\) | −0.394301 | − | 2.74243i | −0.109360 | − | 0.760612i | −0.968525 | − | 0.248915i | \(-0.919926\pi\) |
0.859166 | − | 0.511697i | \(-0.170983\pi\) | |||||||
\(14\) | −3.60692 | + | 2.62018i | −0.963991 | + | 0.700272i | ||||
\(15\) | 0.502966 | + | 0.140689i | 0.129865 | + | 0.0363258i | ||||
\(16\) | −3.99341 | − | 0.229528i | −0.998352 | − | 0.0573820i | ||||
\(17\) | 2.78715 | − | 3.21654i | 0.675983 | − | 0.780126i | −0.309317 | − | 0.950959i | \(-0.600100\pi\) |
0.985300 | + | 0.170833i | \(0.0546458\pi\) | |||||||
\(18\) | 4.08259 | − | 0.826927i | 0.962275 | − | 0.194909i | ||||
\(19\) | −0.0789333 | + | 0.0683961i | −0.0181085 | + | 0.0156911i | −0.663868 | − | 0.747850i | \(-0.731086\pi\) |
0.645759 | + | 0.763541i | \(0.276541\pi\) | |||||||
\(20\) | −4.47157 | − | 0.0709073i | −0.999874 | − | 0.0158553i | ||||
\(21\) | 0.305869 | − | 0.669759i | 0.0667460 | − | 0.146153i | ||||
\(22\) | 0.101826 | − | 0.261481i | 0.0217094 | − | 0.0557480i | ||||
\(23\) | −3.63377 | + | 3.12981i | −0.757693 | + | 0.652611i | ||||
\(24\) | 0.592910 | − | 0.291352i | 0.121027 | − | 0.0594720i | ||||
\(25\) | −4.99835 | + | 0.128493i | −0.999670 | + | 0.0256987i | ||||
\(26\) | −3.10270 | − | 2.39290i | −0.608490 | − | 0.469287i | ||||
\(27\) | −1.04948 | + | 0.909379i | −0.201972 | + | 0.175010i | ||||
\(28\) | −1.07602 | + | 6.21230i | −0.203349 | + | 1.17401i | ||||
\(29\) | −7.24523 | − | 6.27803i | −1.34541 | − | 1.16580i | −0.971148 | − | 0.238477i | \(-0.923352\pi\) |
−0.374258 | − | 0.927325i | \(-0.622103\pi\) | |||||||
\(30\) | 0.648788 | − | 0.353001i | 0.118452 | − | 0.0644488i | ||||
\(31\) | −0.0110361 | − | 0.0375854i | −0.00198213 | − | 0.00675053i | 0.958496 | − | 0.285106i | \(-0.0920288\pi\) |
−0.960478 | + | 0.278356i | \(0.910211\pi\) | |||||||
\(32\) | −4.27652 | + | 3.70288i | −0.755990 | + | 0.654583i | ||||
\(33\) | 0.00659549 | + | 0.0458727i | 0.00114813 | + | 0.00798541i | ||||
\(34\) | −0.343178 | − | 6.00924i | −0.0588546 | − | 1.03058i | ||||
\(35\) | −0.913431 | + | 6.98954i | −0.154398 | + | 1.18145i | ||||
\(36\) | 3.32579 | − | 4.86228i | 0.554298 | − | 0.810380i | ||||
\(37\) | −0.475110 | + | 0.739285i | −0.0781076 | + | 0.121538i | −0.878110 | − | 0.478460i | \(-0.841195\pi\) |
0.800002 | + | 0.599997i | \(0.204832\pi\) | |||||||
\(38\) | −0.0126507 | + | 0.147163i | −0.00205222 | + | 0.0238730i | ||||
\(39\) | 0.640541 | + | 0.0920958i | 0.102569 | + | 0.0147471i | ||||
\(40\) | −4.60518 | + | 4.33502i | −0.728142 | + | 0.685426i | ||||
\(41\) | −1.70941 | + | 1.09857i | −0.266965 | + | 0.171568i | −0.667274 | − | 0.744812i | \(-0.732539\pi\) |
0.400309 | + | 0.916380i | \(0.368903\pi\) | |||||||
\(42\) | −0.349850 | − | 0.980750i | −0.0539830 | − | 0.151333i | ||||
\(43\) | −3.81938 | − | 1.12147i | −0.582450 | − | 0.171023i | −0.0227830 | − | 0.999740i | \(-0.507253\pi\) |
−0.559667 | + | 0.828718i | \(0.689071\pi\) | |||||||
\(44\) | −0.154424 | − | 0.365561i | −0.0232803 | − | 0.0551105i | ||||
\(45\) | 3.48928 | − | 5.58598i | 0.520152 | − | 0.832709i | ||||
\(46\) | −0.600981 | + | 6.75565i | −0.0886098 | + | 0.996066i | ||||
\(47\) | 4.76485 | 0.695024 | 0.347512 | − | 0.937676i | \(-0.387027\pi\) | ||||
0.347512 | + | 0.937676i | \(0.387027\pi\) | |||||||
\(48\) | 0.314219 | − | 0.879843i | 0.0453536 | − | 0.126994i | ||||
\(49\) | 2.81862 | + | 0.827621i | 0.402660 | + | 0.118232i | ||||
\(50\) | −4.94294 | + | 5.05642i | −0.699037 | + | 0.715085i | ||||
\(51\) | 0.537443 | + | 0.836277i | 0.0752570 | + | 0.117102i | ||||
\(52\) | −5.50523 | + | 0.630847i | −0.763438 | + | 0.0874828i | ||||
\(53\) | 12.7008 | + | 1.82610i | 1.74459 | + | 0.250834i | 0.939557 | − | 0.342393i | \(-0.111237\pi\) |
0.805035 | + | 0.593228i | \(0.202147\pi\) | |||||||
\(54\) | −0.168201 | + | 1.95665i | −0.0228893 | + | 0.266266i | ||||
\(55\) | −0.189483 | − | 0.401184i | −0.0255498 | − | 0.0540957i | ||||
\(56\) | 5.03114 | + | 7.36129i | 0.672314 | + | 0.983693i | ||||
\(57\) | −0.0101339 | − | 0.0221901i | −0.00134227 | − | 0.00293915i | ||||
\(58\) | −13.5358 | + | 0.773005i | −1.77733 | + | 0.101501i | ||||
\(59\) | −0.150366 | − | 1.04582i | −0.0195760 | − | 0.136154i | 0.977690 | − | 0.210055i | \(-0.0673643\pi\) |
−0.997266 | + | 0.0739007i | \(0.976455\pi\) | |||||||
\(60\) | 0.310136 | − | 0.997441i | 0.0400384 | − | 0.128769i | ||||
\(61\) | 9.52334 | − | 2.79630i | 1.21934 | − | 0.358030i | 0.392122 | − | 0.919913i | \(-0.371741\pi\) |
0.827216 | + | 0.561883i | \(0.189923\pi\) | |||||||
\(62\) | −0.0482353 | − | 0.0272444i | −0.00612589 | − | 0.00346004i | ||||
\(63\) | −7.01730 | − | 6.08053i | −0.884097 | − | 0.766074i | ||||
\(64\) | −0.688111 | + | 7.97035i | −0.0860139 | + | 0.996294i | ||||
\(65\) | −6.12042 | + | 0.960414i | −0.759144 | + | 0.119125i | ||||
\(66\) | 0.0518990 | + | 0.0400262i | 0.00638833 | + | 0.00492688i | ||||
\(67\) | 3.96415 | − | 8.68027i | 0.484298 | − | 1.06046i | −0.496962 | − | 0.867772i | \(-0.665551\pi\) |
0.981259 | − | 0.192691i | \(-0.0617216\pi\) | |||||||
\(68\) | −6.27044 | − | 5.75665i | −0.760402 | − | 0.698097i | ||||
\(69\) | −0.462295 | − | 1.02030i | −0.0556538 | − | 0.122830i | ||||
\(70\) | 5.96206 | + | 7.98937i | 0.712602 | + | 0.954912i | ||||
\(71\) | 11.0830 | + | 5.06146i | 1.31532 | + | 0.600684i | 0.944649 | − | 0.328082i | \(-0.106402\pi\) |
0.370666 | + | 0.928766i | \(0.379129\pi\) | |||||||
\(72\) | −1.41881 | − | 8.20928i | −0.167208 | − | 0.967472i | ||||
\(73\) | −1.33180 | + | 1.15401i | −0.155875 | + | 0.135066i | −0.729307 | − | 0.684187i | \(-0.760157\pi\) |
0.573432 | + | 0.819253i | \(0.305612\pi\) | |||||||
\(74\) | 0.246718 | + | 1.21806i | 0.0286804 | + | 0.141597i | ||||
\(75\) | 0.300112 | − | 1.12862i | 0.0346540 | − | 0.130321i | ||||
\(76\) | 0.132205 | + | 0.161728i | 0.0151649 | + | 0.0185515i | ||||
\(77\) | −0.600162 | + | 0.176223i | −0.0683948 | + | 0.0200825i | ||||
\(78\) | 0.740433 | − | 0.537873i | 0.0838375 | − | 0.0609021i | ||||
\(79\) | −1.72103 | − | 11.9700i | −0.193631 | − | 1.34673i | −0.822298 | − | 0.569057i | \(-0.807308\pi\) |
0.628667 | − | 0.777674i | \(-0.283601\pi\) | |||||||
\(80\) | −0.398450 | + | 8.93539i | −0.0445480 | + | 0.999007i | ||||
\(81\) | 3.53601 | + | 7.74278i | 0.392890 | + | 0.860309i | ||||
\(82\) | −0.651078 | + | 2.79892i | −0.0718995 | + | 0.309089i | ||||
\(83\) | 2.52614 | + | 1.62345i | 0.277280 | + | 0.178197i | 0.671888 | − | 0.740653i | \(-0.265483\pi\) |
−0.394609 | + | 0.918849i | \(0.629120\pi\) | |||||||
\(84\) | −1.32141 | − | 0.649933i | −0.144177 | − | 0.0709135i | ||||
\(85\) | −7.27190 | − | 6.13932i | −0.788749 | − | 0.665903i | ||||
\(86\) | −4.97906 | + | 2.62671i | −0.536906 | + | 0.283246i | ||||
\(87\) | 1.88371 | − | 1.21058i | 0.201954 | − | 0.129788i | ||||
\(88\) | −0.516902 | − | 0.218579i | −0.0551019 | − | 0.0233006i | ||||
\(89\) | 1.45310 | − | 4.94882i | 0.154029 | − | 0.524574i | −0.845933 | − | 0.533289i | \(-0.820956\pi\) |
0.999962 | + | 0.00871508i | \(0.00277413\pi\) | |||||||
\(90\) | −1.96622 | − | 9.10442i | −0.207258 | − | 0.959690i | ||||
\(91\) | 8.73412i | 0.915585i | ||||||||
\(92\) | 6.04845 | + | 7.44421i | 0.630594 | + | 0.776113i | ||||
\(93\) | 0.00914931 | 0.000948740 | ||||||||
\(94\) | 4.83274 | − | 4.69597i | 0.498459 | − | 0.484352i | ||||
\(95\) | 0.155194 | + | 0.174520i | 0.0159226 | + | 0.0179054i | ||||
\(96\) | −0.548428 | − | 1.20206i | −0.0559737 | − | 0.122684i | ||||
\(97\) | 11.1018 | − | 7.13467i | 1.12721 | − | 0.724416i | 0.162236 | − | 0.986752i | \(-0.448129\pi\) |
0.964977 | + | 0.262336i | \(0.0844930\pi\) | |||||||
\(98\) | 3.67444 | − | 1.93846i | 0.371174 | − | 0.195814i | ||||
\(99\) | 0.578487 | + | 0.0831738i | 0.0581401 | + | 0.00835929i | ||||
\(100\) | −0.0300525 | + | 9.99995i | −0.00300525 | + | 0.999995i | ||||
\(101\) | −0.469852 | + | 0.731105i | −0.0467521 | + | 0.0727476i | −0.863843 | − | 0.503761i | \(-0.831949\pi\) |
0.817091 | + | 0.576509i | \(0.195585\pi\) | |||||||
\(102\) | 1.36929 | + | 0.318520i | 0.135580 | + | 0.0315382i | ||||
\(103\) | −16.8549 | + | 7.69739i | −1.66076 | + | 0.758446i | −0.660796 | + | 0.750566i | \(0.729781\pi\) |
−0.999969 | + | 0.00788042i | \(0.997492\pi\) | |||||||
\(104\) | −4.96195 | + | 6.06548i | −0.486559 | + | 0.594769i | ||||
\(105\) | −1.50629 | − | 0.664641i | −0.146999 | − | 0.0648624i | ||||
\(106\) | 14.6815 | − | 10.6651i | 1.42599 | − | 1.03589i | ||||
\(107\) | 8.17368 | − | 2.40001i | 0.790179 | − | 0.232018i | 0.138350 | − | 0.990383i | \(-0.455820\pi\) |
0.651829 | + | 0.758366i | \(0.274002\pi\) | |||||||
\(108\) | 1.75776 | + | 2.15030i | 0.169141 | + | 0.206913i | ||||
\(109\) | 9.40340 | − | 10.8521i | 0.900682 | − | 1.03944i | −0.0983365 | − | 0.995153i | \(-0.531352\pi\) |
0.999019 | − | 0.0442895i | \(-0.0141024\pi\) | |||||||
\(110\) | −0.587568 | − | 0.220158i | −0.0560224 | − | 0.0209912i | ||||
\(111\) | −0.134414 | − | 0.155122i | −0.0127580 | − | 0.0147236i | ||||
\(112\) | 12.3577 | + | 2.50777i | 1.16769 | + | 0.236962i | ||||
\(113\) | 4.87468 | − | 10.6741i | 0.458571 | − | 1.00413i | −0.529240 | − | 0.848472i | \(-0.677523\pi\) |
0.987811 | − | 0.155658i | \(-0.0497499\pi\) | |||||||
\(114\) | −0.0321477 | − | 0.0125189i | −0.00301090 | − | 0.00117251i | ||||
\(115\) | 7.10231 | + | 8.03475i | 0.662294 | + | 0.749244i | ||||
\(116\) | −12.9668 | + | 14.1241i | −1.20394 | + | 1.31139i | ||||
\(117\) | 3.39009 | − | 7.42327i | 0.313414 | − | 0.686281i | ||||
\(118\) | −1.18321 | − | 0.912531i | −0.108923 | − | 0.0840053i | ||||
\(119\) | −10.1398 | + | 8.78621i | −0.929516 | + | 0.805430i | ||||
\(120\) | −0.668466 | − | 1.31731i | −0.0610224 | − | 0.120253i | ||||
\(121\) | −7.17769 | + | 8.28349i | −0.652517 | + | 0.753045i | ||||
\(122\) | 6.90316 | − | 12.2218i | 0.624983 | − | 1.10651i | ||||
\(123\) | −0.133711 | − | 0.455378i | −0.0120563 | − | 0.0410601i | ||||
\(124\) | −0.0757733 | + | 0.0199054i | −0.00680464 | + | 0.00178756i | ||||
\(125\) | 0.430921 | + | 11.1720i | 0.0385427 | + | 0.999257i | ||||
\(126\) | −13.1099 | + | 0.748687i | −1.16792 | + | 0.0666983i | ||||
\(127\) | −2.54185 | − | 5.56588i | −0.225553 | − | 0.493892i | 0.762694 | − | 0.646760i | \(-0.223876\pi\) |
−0.988247 | + | 0.152868i | \(0.951149\pi\) | |||||||
\(128\) | 7.15722 | + | 8.76209i | 0.632615 | + | 0.774467i | ||||
\(129\) | 0.502657 | − | 0.782149i | 0.0442565 | − | 0.0688644i | ||||
\(130\) | −5.26110 | + | 7.00604i | −0.461429 | + | 0.614470i | ||||
\(131\) | 2.33430 | − | 16.2354i | 0.203949 | − | 1.41850i | −0.588470 | − | 0.808519i | \(-0.700269\pi\) |
0.792419 | − | 0.609977i | \(-0.208822\pi\) | |||||||
\(132\) | 0.0920862 | − | 0.0105522i | 0.00801507 | − | 0.000918451i | ||||
\(133\) | 0.276981 | − | 0.178005i | 0.0240173 | − | 0.0154350i | ||||
\(134\) | −4.53415 | − | 12.7108i | −0.391691 | − | 1.09805i | ||||
\(135\) | 2.06342 | + | 2.32038i | 0.177591 | + | 0.199707i | ||||
\(136\) | −12.0332 | + | 0.341109i | −1.03184 | + | 0.0292499i | ||||
\(137\) | −18.7653 | −1.60323 | −0.801613 | − | 0.597843i | \(-0.796025\pi\) | ||||
−0.801613 | + | 0.597843i | \(0.796025\pi\) | |||||||
\(138\) | −1.47444 | − | 0.579229i | −0.125512 | − | 0.0493072i | ||||
\(139\) | 17.4862 | 1.48316 | 0.741579 | − | 0.670866i | \(-0.234077\pi\) | ||||
0.741579 | + | 0.670866i | \(0.234077\pi\) | |||||||
\(140\) | 13.9209 | + | 2.22735i | 1.17653 | + | 0.188245i | ||||
\(141\) | −0.313543 | + | 1.06783i | −0.0264051 | + | 0.0899275i | ||||
\(142\) | 16.2293 | − | 5.78925i | 1.36193 | − | 0.485823i | ||||
\(143\) | −0.297216 | − | 0.462477i | −0.0248545 | − | 0.0386743i | ||||
\(144\) | −9.52963 | − | 6.92796i | −0.794136 | − | 0.577330i | ||||
\(145\) | −13.8288 | + | 16.3799i | −1.14842 | + | 1.36028i | ||||
\(146\) | −0.213448 | + | 2.48300i | −0.0176651 | + | 0.205494i | ||||
\(147\) | −0.370950 | + | 0.577209i | −0.0305954 | + | 0.0476074i | ||||
\(148\) | 1.45069 | + | 0.992267i | 0.119246 | + | 0.0815639i | ||||
\(149\) | −4.17046 | − | 9.13204i | −0.341658 | − | 0.748126i | 0.658332 | − | 0.752728i | \(-0.271262\pi\) |
−0.999989 | + | 0.00460187i | \(0.998535\pi\) | |||||||
\(150\) | −0.807911 | − | 1.44047i | −0.0659657 | − | 0.117614i | ||||
\(151\) | 0.668217 | − | 0.0960751i | 0.0543787 | − | 0.00781848i | −0.115072 | − | 0.993357i | \(-0.536710\pi\) |
0.169451 | + | 0.985539i | \(0.445801\pi\) | |||||||
\(152\) | 0.293479 | + | 0.0337390i | 0.0238043 | + | 0.00273660i | ||||
\(153\) | 12.0283 | − | 3.53183i | 0.972431 | − | 0.285531i | ||||
\(154\) | −0.435038 | + | 0.770220i | −0.0350564 | + | 0.0620661i | ||||
\(155\) | −0.0837194 | + | 0.0257553i | −0.00672450 | + | 0.00206872i | ||||
\(156\) | 0.220886 | − | 1.27527i | 0.0176851 | − | 0.102103i | ||||
\(157\) | 10.2658 | − | 8.89537i | 0.819300 | − | 0.709927i | −0.140662 | − | 0.990058i | \(-0.544923\pi\) |
0.959962 | + | 0.280130i | \(0.0903776\pi\) | |||||||
\(158\) | −13.5425 | − | 10.4444i | −1.07739 | − | 0.830915i | ||||
\(159\) | −1.24500 | + | 2.72617i | −0.0987348 | + | 0.216199i | ||||
\(160\) | 8.40210 | + | 9.45541i | 0.664244 | + | 0.747516i | ||||
\(161\) | 12.7426 | − | 8.13576i | 1.00426 | − | 0.641188i | ||||
\(162\) | 11.2173 | + | 4.36822i | 0.881310 | + | 0.343200i | ||||
\(163\) | 16.7642 | + | 7.65593i | 1.31307 | + | 0.599659i | 0.944062 | − | 0.329767i | \(-0.106970\pi\) |
0.369008 | + | 0.929426i | \(0.379698\pi\) | |||||||
\(164\) | 2.09811 | + | 3.48047i | 0.163834 | + | 0.271779i | ||||
\(165\) | 0.102376 | − | 0.0160649i | 0.00796999 | − | 0.00125065i | ||||
\(166\) | 4.16211 | − | 0.843036i | 0.323043 | − | 0.0654323i | ||||
\(167\) | −11.1028 | + | 12.8133i | −0.859161 | + | 0.991525i | 0.140838 | + | 0.990033i | \(0.455020\pi\) |
−0.999999 | + | 0.00149229i | \(0.999525\pi\) | |||||||
\(168\) | −1.98077 | + | 0.643110i | −0.152820 | + | 0.0496170i | ||||
\(169\) | 5.10798 | − | 1.49984i | 0.392922 | − | 0.115372i | ||||
\(170\) | −13.4261 | + | 0.939978i | −1.02973 | + | 0.0720930i | ||||
\(171\) | −0.304502 | + | 0.0437808i | −0.0232859 | + | 0.00334800i | ||||
\(172\) | −2.46127 | + | 7.57123i | −0.187670 | + | 0.577301i | ||||
\(173\) | 8.96725 | + | 19.6355i | 0.681767 | + | 1.49286i | 0.860760 | + | 0.509011i | \(0.169989\pi\) |
−0.178993 | + | 0.983850i | \(0.557284\pi\) | |||||||
\(174\) | 0.717464 | − | 3.08431i | 0.0543908 | − | 0.233821i | ||||
\(175\) | 15.6540 | + | 1.84148i | 1.18333 | + | 0.139203i | ||||
\(176\) | −0.739686 | + | 0.287736i | −0.0557560 | + | 0.0216889i | ||||
\(177\) | 0.244269 | + | 0.0351206i | 0.0183604 | + | 0.00263983i | ||||
\(178\) | −3.40347 | − | 6.45144i | −0.255101 | − | 0.483556i | ||||
\(179\) | −6.65189 | + | 4.27491i | −0.497186 | + | 0.319522i | −0.765090 | − | 0.643924i | \(-0.777305\pi\) |
0.267904 | + | 0.963446i | \(0.413669\pi\) | |||||||
\(180\) | −10.9671 | − | 7.29636i | −0.817436 | − | 0.543839i | ||||
\(181\) | −4.55023 | − | 1.33607i | −0.338216 | − | 0.0993091i | 0.108214 | − | 0.994128i | \(-0.465487\pi\) |
−0.446430 | + | 0.894818i | \(0.647305\pi\) | |||||||
\(182\) | 8.60786 | + | 8.85858i | 0.638057 | + | 0.656642i | ||||
\(183\) | 2.31824i | 0.171369i | ||||||||
\(184\) | 13.4712 | + | 1.58928i | 0.993113 | + | 0.117163i | ||||
\(185\) | 1.66661 | + | 1.04105i | 0.122531 | + | 0.0765393i | ||||
\(186\) | 0.00927969 | − | 0.00901705i | 0.000680420 | − | 0.000661162i | ||||
\(187\) | 0.237922 | − | 0.810287i | 0.0173986 | − | 0.0592540i | ||||
\(188\) | 0.273529 | − | 9.52576i | 0.0199492 | − | 0.694738i | ||||
\(189\) | 3.68268 | − | 2.36672i | 0.267876 | − | 0.172153i | ||||
\(190\) | 0.329403 | + | 0.0240569i | 0.0238974 | + | 0.00174527i | ||||
\(191\) | −2.57856 | + | 17.9343i | −0.186578 | + | 1.29768i | 0.654210 | + | 0.756313i | \(0.273001\pi\) |
−0.840788 | + | 0.541364i | \(0.817908\pi\) | |||||||
\(192\) | −1.74092 | − | 0.678687i | −0.125640 | − | 0.0489800i | ||||
\(193\) | −5.97982 | + | 9.30479i | −0.430437 | + | 0.669773i | −0.986943 | − | 0.161071i | \(-0.948505\pi\) |
0.556506 | + | 0.830844i | \(0.312142\pi\) | |||||||
\(194\) | 4.22843 | − | 18.1776i | 0.303583 | − | 1.30508i | ||||
\(195\) | 0.187510 | − | 1.43482i | 0.0134279 | − | 0.102750i | ||||
\(196\) | 1.81636 | − | 5.58740i | 0.129740 | − | 0.399100i | ||||
\(197\) | −0.698197 | − | 4.85607i | −0.0497445 | − | 0.345981i | −0.999460 | − | 0.0328657i | \(-0.989537\pi\) |
0.949715 | − | 0.313115i | \(-0.101372\pi\) | |||||||
\(198\) | 0.668702 | − | 0.485765i | 0.0475226 | − | 0.0345218i | ||||
\(199\) | 26.2034 | − | 7.69401i | 1.85751 | − | 0.545414i | 0.858014 | − | 0.513627i | \(-0.171698\pi\) |
0.999495 | − | 0.0317867i | \(-0.0101197\pi\) | |||||||
\(200\) | 9.82492 | + | 10.1721i | 0.694726 | + | 0.719274i | ||||
\(201\) | 1.68445 | + | 1.45958i | 0.118812 | + | 0.102951i | ||||
\(202\) | 0.243988 | + | 1.20458i | 0.0171669 | + | 0.0847542i | ||||
\(203\) | 19.7909 | + | 22.8399i | 1.38905 | + | 1.60304i | ||||
\(204\) | 1.70272 | − | 1.02644i | 0.119214 | − | 0.0718648i | ||||
\(205\) | 2.50539 | + | 3.79047i | 0.174984 | + | 0.264738i | ||||
\(206\) | −9.50899 | + | 24.4183i | −0.662523 | + | 1.70131i | ||||
\(207\) | −13.9880 | + | 1.96874i | −0.972233 | + | 0.136837i | ||||
\(208\) | 0.945143 | + | 11.0421i | 0.0655339 | + | 0.765634i | ||||
\(209\) | −0.00860895 | + | 0.0188510i | −0.000595493 | + | 0.00130395i | ||||
\(210\) | −2.18279 | + | 0.810404i | −0.150627 | + | 0.0559232i | ||||
\(211\) | −1.14749 | − | 1.32427i | −0.0789965 | − | 0.0911668i | 0.714875 | − | 0.699252i | \(-0.246483\pi\) |
−0.793872 | + | 0.608085i | \(0.791938\pi\) | |||||||
\(212\) | 4.37980 | − | 25.2863i | 0.300806 | − | 1.73667i | ||||
\(213\) | −1.86361 | + | 2.15072i | −0.127692 | + | 0.147365i | ||||
\(214\) | 5.92484 | − | 10.4897i | 0.405013 | − | 0.717063i | ||||
\(215\) | −2.39773 | + | 8.57191i | −0.163524 | + | 0.584599i | ||||
\(216\) | 3.90202 | + | 0.448586i | 0.265499 | + | 0.0305224i | ||||
\(217\) | 0.0175739 | + | 0.122229i | 0.00119299 | + | 0.00829745i | ||||
\(218\) | −1.15783 | − | 20.2742i | −0.0784180 | − | 1.37314i | ||||
\(219\) | −0.170983 | − | 0.374401i | −0.0115540 | − | 0.0252997i | ||||
\(220\) | −0.812915 | + | 0.355779i | −0.0548067 | + | 0.0239866i | ||||
\(221\) | −9.92011 | − | 6.37527i | −0.667299 | − | 0.428847i | ||||
\(222\) | −0.289210 | − | 0.0248616i | −0.0194105 | − | 0.00166860i | ||||
\(223\) | −3.31114 | + | 23.0295i | −0.221730 | + | 1.54217i | 0.509761 | + | 0.860316i | \(0.329734\pi\) |
−0.731492 | + | 0.681851i | \(0.761175\pi\) | |||||||
\(224\) | 15.0053 | − | 9.63555i | 1.00259 | − | 0.643802i | ||||
\(225\) | −12.5899 | − | 7.64112i | −0.839324 | − | 0.509408i | ||||
\(226\) | −5.57561 | − | 15.6304i | −0.370884 | − | 1.03972i | ||||
\(227\) | −2.38362 | − | 0.699893i | −0.158206 | − | 0.0464535i | 0.201670 | − | 0.979453i | \(-0.435363\pi\) |
−0.359877 | + | 0.933000i | \(0.617181\pi\) | |||||||
\(228\) | −0.0449437 | + | 0.0189856i | −0.00297647 | + | 0.00125735i | ||||
\(229\) | −7.90113 | −0.522121 | −0.261061 | − | 0.965322i | \(-0.584072\pi\) | ||||
−0.261061 | + | 0.965322i | \(0.584072\pi\) | |||||||
\(230\) | 15.1221 | + | 1.14960i | 0.997123 | + | 0.0758026i | ||||
\(231\) | − | 0.146096i | − | 0.00961241i | ||||||
\(232\) | 0.768345 | + | 27.1047i | 0.0504443 | + | 1.77951i | ||||
\(233\) | 4.18170 | − | 14.2416i | 0.273952 | − | 0.932996i | −0.701479 | − | 0.712691i | \(-0.747476\pi\) |
0.975431 | − | 0.220305i | \(-0.0707054\pi\) | |||||||
\(234\) | −3.87756 | − | 10.8701i | −0.253484 | − | 0.710603i | ||||
\(235\) | −0.136915 | − | 10.6536i | −0.00893134 | − | 0.694967i | ||||
\(236\) | −2.09941 | + | 0.240573i | −0.136660 | + | 0.0156600i | ||||
\(237\) | 2.79580 | + | 0.401975i | 0.181607 | + | 0.0261111i | ||||
\(238\) | −1.62512 | + | 18.9047i | −0.105341 | + | 1.22541i | ||||
\(239\) | 2.10913 | − | 3.28187i | 0.136428 | − | 0.212286i | −0.766316 | − | 0.642463i | \(-0.777913\pi\) |
0.902745 | + | 0.430177i | \(0.141549\pi\) | |||||||
\(240\) | −1.97626 | − | 0.677275i | −0.127567 | − | 0.0437179i | ||||
\(241\) | 8.88163 | − | 4.05610i | 0.572116 | − | 0.261277i | −0.108281 | − | 0.994120i | \(-0.534535\pi\) |
0.680397 | + | 0.732844i | \(0.261807\pi\) | |||||||
\(242\) | 0.883779 | + | 15.4755i | 0.0568114 | + | 0.994800i | ||||
\(243\) | −6.09146 | + | 0.875820i | −0.390768 | + | 0.0561839i | ||||
\(244\) | −5.04361 | − | 19.1993i | −0.322884 | − | 1.22911i | ||||
\(245\) | 1.76947 | − | 6.32588i | 0.113047 | − | 0.404146i | ||||
\(246\) | −0.584412 | − | 0.330089i | −0.0372607 | − | 0.0210457i | ||||
\(247\) | 0.218695 | + | 0.189500i | 0.0139152 | + | 0.0120576i | ||||
\(248\) | −0.0572354 | + | 0.0948670i | −0.00363445 | + | 0.00602406i | ||||
\(249\) | −0.530053 | + | 0.459294i | −0.0335908 | + | 0.0291066i | ||||
\(250\) | 11.4476 | + | 10.9065i | 0.724009 | + | 0.689790i | ||||
\(251\) | −12.5450 | − | 5.72913i | −0.791836 | − | 0.361620i | −0.0219162 | − | 0.999760i | \(-0.506977\pi\) |
−0.769920 | + | 0.638140i | \(0.779704\pi\) | |||||||
\(252\) | −12.5589 | + | 13.6798i | −0.791135 | + | 0.861744i | ||||
\(253\) | −0.397876 | + | 0.864417i | −0.0250142 | + | 0.0543454i | ||||
\(254\) | −8.06349 | − | 3.14008i | −0.505948 | − | 0.197026i | ||||
\(255\) | 1.85437 | − | 1.22569i | 0.116125 | − | 0.0767556i | ||||
\(256\) | 15.8946 | + | 1.83320i | 0.993415 | + | 0.114575i | ||||
\(257\) | −2.97967 | + | 2.58190i | −0.185867 | + | 0.161054i | −0.742824 | − | 0.669487i | \(-0.766514\pi\) |
0.556957 | + | 0.830541i | \(0.311969\pi\) | |||||||
\(258\) | −0.261023 | − | 1.28868i | −0.0162506 | − | 0.0802300i | ||||
\(259\) | 1.81416 | − | 2.09365i | 0.112726 | − | 0.130093i | ||||
\(260\) | 1.56869 | + | 12.2909i | 0.0972860 | + | 0.762251i | ||||
\(261\) | −7.95541 | − | 27.0936i | −0.492428 | − | 1.67705i | ||||
\(262\) | −13.6332 | − | 18.7673i | −0.842260 | − | 1.15945i | ||||
\(263\) | −1.35118 | + | 0.194271i | −0.0833174 | + | 0.0119792i | −0.183847 | − | 0.982955i | \(-0.558855\pi\) |
0.100530 | + | 0.994934i | \(0.467946\pi\) | |||||||
\(264\) | 0.0829987 | − | 0.101458i | 0.00510822 | − | 0.00624428i | ||||
\(265\) | 3.71800 | − | 28.4500i | 0.228395 | − | 1.74767i | ||||
\(266\) | 0.105496 | − | 0.453519i | 0.00646840 | − | 0.0278070i | ||||
\(267\) | 1.01344 | + | 0.651299i | 0.0620215 | + | 0.0398588i | ||||
\(268\) | −17.1258 | − | 8.42332i | −1.04613 | − | 0.514536i | ||||
\(269\) | −7.16474 | − | 1.03013i | −0.436842 | − | 0.0628084i | −0.0796143 | − | 0.996826i | \(-0.525369\pi\) |
−0.357228 | + | 0.934017i | \(0.616278\pi\) | |||||||
\(270\) | 4.37967 | + | 0.319855i | 0.266538 | + | 0.0194658i | ||||
\(271\) | −5.95366 | − | 9.26407i | −0.361659 | − | 0.562752i | 0.611972 | − | 0.790879i | \(-0.290376\pi\) |
−0.973631 | + | 0.228127i | \(0.926740\pi\) | |||||||
\(272\) | −11.8685 | + | 12.2052i | −0.719635 | + | 0.740052i | ||||
\(273\) | −1.95737 | − | 0.574735i | −0.118465 | − | 0.0347846i | ||||
\(274\) | −19.0327 | + | 18.4940i | −1.14981 | + | 1.11726i | ||||
\(275\) | −0.891557 | + | 0.435189i | −0.0537629 | + | 0.0262429i | ||||
\(276\) | −2.06630 | + | 0.865638i | −0.124377 | + | 0.0521053i | ||||
\(277\) | −11.9082 | −0.715492 | −0.357746 | − | 0.933819i | \(-0.616455\pi\) | ||||
−0.357746 | + | 0.933819i | \(0.616455\pi\) | |||||||
\(278\) | 17.7353 | − | 17.2334i | 1.06370 | − | 1.03359i | ||||
\(279\) | 0.0325061 | − | 0.110706i | 0.00194609 | − | 0.00662777i | ||||
\(280\) | 16.3144 | − | 11.4606i | 0.974972 | − | 0.684900i | ||||
\(281\) | −3.42437 | − | 5.32842i | −0.204281 | − | 0.317867i | 0.723964 | − | 0.689838i | \(-0.242318\pi\) |
−0.928244 | + | 0.371971i | \(0.878682\pi\) | |||||||
\(282\) | 0.734383 | + | 1.39206i | 0.0437319 | + | 0.0828958i | ||||
\(283\) | 1.12305 | − | 7.81096i | 0.0667582 | − | 0.464313i | −0.928832 | − | 0.370502i | \(-0.879186\pi\) |
0.995590 | − | 0.0938117i | \(-0.0299052\pi\) | |||||||
\(284\) | 10.7550 | − | 21.8664i | 0.638190 | − | 1.29753i | ||||
\(285\) | −0.0493234 | + | 0.0232958i | −0.00292166 | + | 0.00137993i | ||||
\(286\) | −0.757243 | − | 0.176148i | −0.0447767 | − | 0.0104158i | ||||
\(287\) | 5.82674 | − | 2.66098i | 0.343942 | − | 0.157073i | ||||
\(288\) | −16.4932 | + | 2.36519i | −0.971873 | + | 0.139370i | ||||
\(289\) | −0.158590 | − | 1.10302i | −0.00932883 | − | 0.0648835i | ||||
\(290\) | 2.11729 | + | 30.2422i | 0.124332 | + | 1.77588i | ||||
\(291\) | 0.868388 | + | 2.95746i | 0.0509058 | + | 0.173369i | ||||
\(292\) | 2.23061 | + | 2.72874i | 0.130537 | + | 0.159688i | ||||
\(293\) | 6.91268 | + | 5.98987i | 0.403843 | + | 0.349932i | 0.832976 | − | 0.553309i | \(-0.186635\pi\) |
−0.429133 | + | 0.903241i | \(0.641181\pi\) | |||||||
\(294\) | 0.192629 | + | 0.951021i | 0.0112344 | + | 0.0554647i | ||||
\(295\) | −2.33401 | + | 0.366253i | −0.135891 | + | 0.0213240i | ||||
\(296\) | 2.44928 | − | 0.423309i | 0.142362 | − | 0.0246044i | ||||
\(297\) | −0.114463 | + | 0.250638i | −0.00664180 | + | 0.0145435i | ||||
\(298\) | −13.2299 | − | 5.15200i | −0.766389 | − | 0.298447i | ||||
\(299\) | 10.0161 | + | 8.73125i | 0.579245 | + | 0.504941i | ||||
\(300\) | −2.23907 | − | 0.664767i | −0.129273 | − | 0.0383803i | ||||
\(301\) | 11.4145 | + | 5.21284i | 0.657922 | + | 0.300463i | ||||
\(302\) | 0.583053 | − | 0.756002i | 0.0335509 | − | 0.0435030i | ||||
\(303\) | −0.132927 | − | 0.153406i | −0.00763646 | − | 0.00881294i | ||||
\(304\) | 0.330912 | − | 0.255016i | 0.0189791 | − | 0.0146262i | ||||
\(305\) | −6.52586 | − | 21.2127i | −0.373669 | − | 1.21464i | ||||
\(306\) | 8.71893 | − | 15.4366i | 0.498428 | − | 0.882451i | ||||
\(307\) | 7.62034 | + | 25.9525i | 0.434916 | + | 1.48119i | 0.827497 | + | 0.561470i | \(0.189764\pi\) |
−0.392582 | + | 0.919717i | \(0.628418\pi\) | |||||||
\(308\) | 0.317849 | + | 1.20995i | 0.0181111 | + | 0.0689430i | ||||
\(309\) | −0.615918 | − | 4.28380i | −0.0350384 | − | 0.243697i | ||||
\(310\) | −0.0595293 | + | 0.108631i | −0.00338104 | + | 0.00616985i | ||||
\(311\) | −18.4761 | + | 8.43776i | −1.04768 | + | 0.478461i | −0.863457 | − | 0.504422i | \(-0.831705\pi\) |
−0.184227 | + | 0.982884i | \(0.558978\pi\) | |||||||
\(312\) | −1.03280 | − | 1.51113i | −0.0584706 | − | 0.0855510i | ||||
\(313\) | 18.5648 | + | 11.9309i | 1.04935 | + | 0.674374i | 0.947281 | − | 0.320404i | \(-0.103819\pi\) |
0.102065 | + | 0.994778i | \(0.467455\pi\) | |||||||
\(314\) | 1.64531 | − | 19.1395i | 0.0928502 | − | 1.08011i | ||||
\(315\) | −13.3937 | + | 15.8646i | −0.754650 | + | 0.893868i | ||||
\(316\) | −24.0290 | + | 2.75349i | −1.35173 | + | 0.154896i | ||||
\(317\) | 18.4424 | − | 11.8522i | 1.03583 | − | 0.665687i | 0.0918779 | − | 0.995770i | \(-0.470713\pi\) |
0.943952 | + | 0.330083i | \(0.107077\pi\) | |||||||
\(318\) | 1.42402 | + | 3.99201i | 0.0798549 | + | 0.223861i | ||||
\(319\) | −1.82516 | − | 0.535916i | −0.102190 | − | 0.0300056i | ||||
\(320\) | 17.8405 | + | 1.30951i | 0.997317 | + | 0.0732040i | ||||
\(321\) | 1.98970i | 0.111054i | ||||||||
\(322\) | 4.90605 | − | 20.8101i | 0.273404 | − | 1.15970i | ||||
\(323\) | 0.444523i | 0.0247339i | ||||||||
\(324\) | 15.6822 | − | 6.62463i | 0.871232 | − | 0.368035i | ||||
\(325\) | 2.32324 | + | 13.6569i | 0.128870 | + | 0.757551i | ||||
\(326\) | 24.5483 | − | 8.75679i | 1.35960 | − | 0.484994i | ||||
\(327\) | 1.81324 | + | 2.82146i | 0.100273 | + | 0.156027i | ||||
\(328\) | 5.55816 | + | 1.46229i | 0.306898 | + | 0.0807416i | ||||
\(329\) | −14.8678 | − | 2.13767i | −0.819688 | − | 0.117853i | ||||
\(330\) | 0.0880026 | − | 0.117190i | 0.00484438 | − | 0.00645111i | ||||
\(331\) | −24.9257 | − | 16.0188i | −1.37004 | − | 0.880471i | −0.371197 | − | 0.928554i | \(-0.621052\pi\) |
−0.998843 | + | 0.0480830i | \(0.984689\pi\) | |||||||
\(332\) | 3.39058 | − | 4.95700i | 0.186082 | − | 0.272051i | ||||
\(333\) | −2.35452 | + | 1.07527i | −0.129027 | + | 0.0589245i | ||||
\(334\) | 1.36707 | + | 23.9382i | 0.0748030 | + | 1.30984i | ||||
\(335\) | −19.5220 | − | 8.61395i | −1.06660 | − | 0.470630i | ||||
\(336\) | −1.37519 | + | 2.60442i | −0.0750226 | + | 0.142083i | ||||
\(337\) | −3.38733 | + | 0.994610i | −0.184520 | + | 0.0541799i | −0.372687 | − | 0.927957i | \(-0.621563\pi\) |
0.188167 | + | 0.982137i | \(0.439745\pi\) | |||||||
\(338\) | 3.70261 | − | 6.55535i | 0.201395 | − | 0.356564i | ||||
\(339\) | 2.07135 | + | 1.79483i | 0.112500 | + | 0.0974820i | ||||
\(340\) | −12.6910 | + | 14.1854i | −0.688268 | + | 0.769310i | ||||
\(341\) | −0.00508992 | − | 0.00587408i | −0.000275635 | − | 0.000318100i | ||||
\(342\) | −0.265693 | + | 0.344505i | −0.0143671 | + | 0.0186287i | ||||
\(343\) | 11.6490 | + | 5.31991i | 0.628986 | + | 0.287248i | ||||
\(344\) | 4.96544 | + | 10.1048i | 0.267719 | + | 0.544815i | ||||
\(345\) | −2.26799 | + | 1.06296i | −0.122105 | + | 0.0572276i | ||||
\(346\) | 28.4467 | + | 11.0777i | 1.52930 | + | 0.595542i | ||||
\(347\) | −15.4324 | − | 7.04773i | −0.828454 | − | 0.378342i | −0.0443838 | − | 0.999015i | \(-0.514132\pi\) |
−0.784070 | + | 0.620672i | \(0.786860\pi\) | |||||||
\(348\) | −2.31204 | − | 3.83535i | −0.123938 | − | 0.205597i | ||||
\(349\) | 3.13980 | − | 2.72065i | 0.168070 | − | 0.145633i | −0.566765 | − | 0.823879i | \(-0.691805\pi\) |
0.734835 | + | 0.678246i | \(0.237260\pi\) | |||||||
\(350\) | 17.6920 | − | 13.5600i | 0.945676 | − | 0.724814i | ||||
\(351\) | 2.90772 | + | 2.51955i | 0.155202 | + | 0.134484i | ||||
\(352\) | −0.466650 | + | 1.02083i | −0.0248725 | + | 0.0544104i | ||||
\(353\) | −2.79630 | − | 9.52333i | −0.148832 | − | 0.506876i | 0.851001 | − | 0.525165i | \(-0.175996\pi\) |
−0.999833 | + | 0.0182891i | \(0.994178\pi\) | |||||||
\(354\) | 0.282363 | − | 0.205117i | 0.0150074 | − | 0.0109019i | ||||
\(355\) | 10.9984 | − | 24.9258i | 0.583732 | − | 1.32293i | ||||
\(356\) | −9.81014 | − | 3.18910i | −0.519936 | − | 0.169022i | ||||
\(357\) | −1.30181 | − | 2.85056i | −0.0688989 | − | 0.150868i | ||||
\(358\) | −2.53357 | + | 10.8916i | −0.133903 | + | 0.575637i | ||||
\(359\) | −3.28485 | − | 2.11105i | −0.173368 | − | 0.111417i | 0.451079 | − | 0.892484i | \(-0.351039\pi\) |
−0.624447 | + | 0.781067i | \(0.714676\pi\) | |||||||
\(360\) | −18.3142 | + | 3.40818i | −0.965244 | + | 0.179627i | ||||
\(361\) | −2.70243 | + | 18.7958i | −0.142233 | + | 0.989253i | ||||
\(362\) | −5.93182 | + | 3.12934i | −0.311770 | + | 0.164475i | ||||
\(363\) | −1.38406 | − | 2.15364i | −0.0726445 | − | 0.113037i | ||||
\(364\) | 17.4610 | + | 0.501388i | 0.915207 | + | 0.0262799i | ||||
\(365\) | 2.61850 | + | 2.94458i | 0.137058 | + | 0.154126i | ||||
\(366\) | 2.28473 | + | 2.35128i | 0.119425 | + | 0.122903i | ||||
\(367\) | − | 9.92027i | − | 0.517834i | −0.965900 | − | 0.258917i | \(-0.916634\pi\) | ||
0.965900 | − | 0.258917i | \(-0.0833656\pi\) | |||||||
\(368\) | 15.2295 | − | 11.6646i | 0.793893 | − | 0.608058i | ||||
\(369\) | −5.98508 | −0.311571 | ||||||||
\(370\) | 2.71635 | − | 0.586633i | 0.141217 | − | 0.0304976i | ||||
\(371\) | −38.8113 | − | 11.3960i | −2.01498 | − | 0.591651i | ||||
\(372\) | 0.000525222 | − | 0.0182911i | 2.72315e−5 | − | 0.000948349i | ||||
\(373\) | 0.688001 | + | 1.07055i | 0.0356233 | + | 0.0554310i | 0.858609 | − | 0.512632i | \(-0.171329\pi\) |
−0.822985 | + | 0.568063i | \(0.807693\pi\) | |||||||
\(374\) | −0.557261 | − | 1.05632i | −0.0288153 | − | 0.0546208i | ||||
\(375\) | −2.53208 | − | 0.638586i | −0.130756 | − | 0.0329765i | ||||
\(376\) | −9.11063 | − | 9.93108i | −0.469845 | − | 0.512156i | ||||
\(377\) | −14.3602 | + | 22.3450i | −0.739590 | + | 1.15082i | ||||
\(378\) | 1.40266 | − | 6.02988i | 0.0721449 | − | 0.310144i | ||||
\(379\) | 16.4092 | − | 7.49382i | 0.842883 | − | 0.384932i | 0.0533025 | − | 0.998578i | \(-0.483025\pi\) |
0.789581 | + | 0.613646i | \(0.210298\pi\) | |||||||
\(380\) | 0.357806 | − | 0.300241i | 0.0183551 | − | 0.0154021i | ||||
\(381\) | 1.41461 | − | 0.203390i | 0.0724726 | − | 0.0104200i | ||||
\(382\) | 15.0597 | + | 20.7311i | 0.770521 | + | 1.06070i | ||||
\(383\) | −0.213293 | − | 0.726410i | −0.0108988 | − | 0.0371178i | 0.953864 | − | 0.300239i | \(-0.0970664\pi\) |
−0.964763 | + | 0.263121i | \(0.915248\pi\) | |||||||
\(384\) | −2.43461 | + | 1.02740i | −0.124241 | + | 0.0524292i | ||||
\(385\) | 0.411260 | + | 1.33683i | 0.0209598 | + | 0.0681311i | ||||
\(386\) | 3.10524 | + | 15.3308i | 0.158053 | + | 0.780315i | ||||
\(387\) | −7.67805 | − | 8.86094i | −0.390297 | − | 0.450427i | ||||
\(388\) | −13.6262 | − | 22.6039i | −0.691763 | − | 1.14754i | ||||
\(389\) | −8.88394 | + | 19.4531i | −0.450433 | + | 0.986312i | 0.539131 | + | 0.842222i | \(0.318753\pi\) |
−0.989565 | + | 0.144090i | \(0.953975\pi\) | |||||||
\(390\) | −1.22390 | − | 1.64007i | −0.0619744 | − | 0.0830480i | ||||
\(391\) | −0.0606820 | + | 20.4114i | −0.00306882 | + | 1.03225i | ||||
\(392\) | −3.66438 | − | 7.45713i | −0.185079 | − | 0.376642i | ||||
\(393\) | 3.48485 | + | 1.59148i | 0.175788 | + | 0.0802795i | ||||
\(394\) | −5.49402 | − | 4.23716i | −0.276784 | − | 0.213465i | ||||
\(395\) | −26.7141 | + | 4.19197i | −1.34413 | + | 0.210921i | ||||
\(396\) | 0.199488 | − | 1.15172i | 0.0100246 | − | 0.0578762i | ||||
\(397\) | −4.92310 | + | 5.68156i | −0.247083 | + | 0.285149i | −0.865721 | − | 0.500527i | \(-0.833140\pi\) |
0.618637 | + | 0.785677i | \(0.287685\pi\) | |||||||
\(398\) | 18.9940 | − | 33.6282i | 0.952083 | − | 1.68563i | ||||
\(399\) | 0.0216657 | + | 0.0737865i | 0.00108464 | + | 0.00369395i | ||||
\(400\) | 19.9899 | + | 0.634134i | 0.999497 | + | 0.0317067i | ||||
\(401\) | 10.7830 | − | 1.55036i | 0.538479 | − | 0.0774215i | 0.132290 | − | 0.991211i | \(-0.457767\pi\) |
0.406188 | + | 0.913789i | \(0.366858\pi\) | |||||||
\(402\) | 3.14693 | − | 0.179716i | 0.156955 | − | 0.00896343i | ||||
\(403\) | −0.0987235 | + | 0.0450855i | −0.00491777 | + | 0.00224587i | ||||
\(404\) | 1.43463 | + | 0.981287i | 0.0713757 | + | 0.0488209i | ||||
\(405\) | 17.2104 | − | 8.12859i | 0.855189 | − | 0.403913i | ||||
\(406\) | 42.5826 | + | 3.66057i | 2.11334 | + | 0.181671i | ||||
\(407\) | −0.0248154 | + | 0.172595i | −0.00123005 | + | 0.00855520i | ||||
\(408\) | 0.715383 | − | 2.71916i | 0.0354168 | − | 0.134619i | ||||
\(409\) | −24.8758 | + | 15.9867i | −1.23003 | + | 0.790492i | −0.983896 | − | 0.178744i | \(-0.942797\pi\) |
−0.246134 | + | 0.969236i | \(0.579160\pi\) | |||||||
\(410\) | 6.27677 | + | 1.37531i | 0.309988 | + | 0.0679217i | ||||
\(411\) | 1.23482 | − | 4.20541i | 0.0609092 | − | 0.207438i | ||||
\(412\) | 14.4209 | + | 34.1378i | 0.710465 | + | 1.68185i | ||||
\(413\) | 3.33075i | 0.163895i | ||||||||
\(414\) | −12.2470 | + | 15.7826i | −0.601909 | + | 0.775672i | ||||
\(415\) | 3.55726 | − | 5.69480i | 0.174619 | − | 0.279547i | ||||
\(416\) | 11.8411 | + | 10.2680i | 0.580559 | + | 0.503430i | ||||
\(417\) | −1.15065 | + | 3.91875i | −0.0563476 | + | 0.191902i | ||||
\(418\) | 0.00984684 | + | 0.0276041i | 0.000481624 | + | 0.00135016i | ||||
\(419\) | −2.31975 | − | 3.60960i | −0.113327 | − | 0.176340i | 0.779957 | − | 0.625833i | \(-0.215241\pi\) |
−0.893284 | + | 0.449493i | \(0.851605\pi\) | |||||||
\(420\) | −1.41520 | + | 2.97319i | −0.0690549 | + | 0.145077i | ||||
\(421\) | −4.44714 | + | 30.9305i | −0.216740 | + | 1.50746i | 0.533219 | + | 0.845978i | \(0.320982\pi\) |
−0.749959 | + | 0.661484i | \(0.769927\pi\) | |||||||
\(422\) | −2.46897 | − | 0.212243i | −0.120188 | − | 0.0103318i | ||||
\(423\) | 11.8067 | + | 7.58768i | 0.574059 | + | 0.368925i | ||||
\(424\) | −20.4786 | − | 29.9632i | −0.994529 | − | 1.45514i | ||||
\(425\) | −13.5178 | + | 16.4355i | −0.655712 | + | 0.797241i | ||||
\(426\) | 0.229463 | + | 4.01803i | 0.0111175 | + | 0.194674i | ||||
\(427\) | −30.9703 | + | 4.45285i | −1.49876 | + | 0.215489i | ||||
\(428\) | −4.32882 | − | 16.4784i | −0.209242 | − | 0.796513i | ||||
\(429\) | 0.123202 | − | 0.0361753i | 0.00594824 | − | 0.00174656i | ||||
\(430\) | 6.01610 | + | 11.0571i | 0.290122 | + | 0.533222i | ||||
\(431\) | −15.4275 | + | 17.8042i | −0.743114 | + | 0.857600i | −0.993882 | − | 0.110448i | \(-0.964772\pi\) |
0.250767 | + | 0.968047i | \(0.419317\pi\) | |||||||
\(432\) | 4.39973 | − | 3.39064i | 0.211682 | − | 0.163132i | ||||
\(433\) | 13.7912 | + | 15.9159i | 0.662765 | + | 0.764871i | 0.983226 | − | 0.182390i | \(-0.0583835\pi\) |
−0.320462 | + | 0.947262i | \(0.603838\pi\) | |||||||
\(434\) | 0.138287 | + | 0.106651i | 0.00663797 | + | 0.00511941i | ||||
\(435\) | −2.76085 | − | 4.17696i | −0.132373 | − | 0.200270i | ||||
\(436\) | −21.1555 | − | 19.4220i | −1.01316 | − | 0.930146i | ||||
\(437\) | 0.0727584 | − | 0.495582i | 0.00348051 | − | 0.0237069i | ||||
\(438\) | −0.542409 | − | 0.211225i | −0.0259173 | − | 0.0100927i | ||||
\(439\) | −3.94941 | − | 1.80364i | −0.188495 | − | 0.0860828i | 0.318932 | − | 0.947778i | \(-0.396676\pi\) |
−0.507427 | + | 0.861695i | \(0.669403\pi\) | |||||||
\(440\) | −0.473864 | + | 1.16201i | −0.0225906 | + | 0.0553968i | ||||
\(441\) | 5.66623 | + | 6.53918i | 0.269821 | + | 0.311390i | ||||
\(442\) | −16.3446 | + | 3.31059i | −0.777432 | + | 0.157469i | ||||
\(443\) | −10.8000 | − | 9.35824i | −0.513123 | − | 0.444624i | 0.359409 | − | 0.933180i | \(-0.382978\pi\) |
−0.872532 | + | 0.488556i | \(0.837524\pi\) | |||||||
\(444\) | −0.317833 | + | 0.259813i | −0.0150837 | + | 0.0123302i | ||||
\(445\) | −11.1067 | − | 3.10677i | −0.526510 | − | 0.147275i | ||||
\(446\) | 19.3382 | + | 26.6209i | 0.915691 | + | 1.26054i | ||||
\(447\) | 2.32098 | − | 0.333706i | 0.109778 | − | 0.0157838i | ||||
\(448\) | 5.72288 | − | 24.5613i | 0.270381 | − | 1.16041i | ||||
\(449\) | −1.71669 | − | 3.75902i | −0.0810155 | − | 0.177399i | 0.864789 | − | 0.502135i | \(-0.167452\pi\) |
−0.945805 | + | 0.324736i | \(0.894725\pi\) | |||||||
\(450\) | −20.2999 | + | 4.65785i | −0.956948 | + | 0.219573i | ||||
\(451\) | −0.217978 | + | 0.339181i | −0.0102642 | + | 0.0159714i | ||||
\(452\) | −21.0595 | − | 10.3581i | −0.990555 | − | 0.487203i | ||||
\(453\) | −0.0224400 | + | 0.156074i | −0.00105432 | + | 0.00733298i | ||||
\(454\) | −3.10736 | + | 1.63929i | −0.145835 | + | 0.0769358i | ||||
\(455\) | 19.5285 | − | 0.250969i | 0.915509 | − | 0.0117656i | ||||
\(456\) | −0.0268730 | + | 0.0635502i | −0.00125844 | + | 0.00297601i | ||||
\(457\) | 20.4026 | + | 5.99074i | 0.954393 | + | 0.280235i | 0.721615 | − | 0.692295i | \(-0.243400\pi\) |
0.232778 | + | 0.972530i | \(0.425218\pi\) | |||||||
\(458\) | −8.01372 | + | 7.78691i | −0.374456 | + | 0.363858i | ||||
\(459\) | 5.91027i | 0.275868i | ||||||||
\(460\) | 16.4706 | − | 13.7375i | 0.767945 | − | 0.640516i | ||||
\(461\) | 26.2192i | 1.22115i | 0.791958 | + | 0.610576i | \(0.209062\pi\) | ||||
−0.791958 | + | 0.610576i | \(0.790938\pi\) | |||||||
\(462\) | −0.143984 | − | 0.148178i | −0.00669874 | − | 0.00689385i | ||||
\(463\) | 29.1418 | + | 8.55681i | 1.35434 | + | 0.397669i | 0.876763 | − | 0.480923i | \(-0.159699\pi\) |
0.477573 | + | 0.878592i | \(0.341517\pi\) | |||||||
\(464\) | 27.4922 | + | 26.7337i | 1.27629 | + | 1.24108i | ||||
\(465\) | −0.000262900 | − | 0.0204568i | −1.21917e−5 | − | 0.000948661i | ||||
\(466\) | −9.79440 | − | 18.5658i | −0.453717 | − | 0.860042i | ||||
\(467\) | −4.41249 | + | 30.6895i | −0.204185 | + | 1.42014i | 0.587506 | + | 0.809220i | \(0.300110\pi\) |
−0.791691 | + | 0.610921i | \(0.790799\pi\) | |||||||
\(468\) | −14.6458 | − | 7.20353i | −0.677002 | − | 0.332983i | ||||
\(469\) | −16.2636 | + | 25.3067i | −0.750984 | + | 1.16855i | ||||
\(470\) | −10.6385 | − | 10.6705i | −0.490717 | − | 0.492194i | ||||
\(471\) | 1.31798 | + | 2.88597i | 0.0607293 | + | 0.132979i | ||||
\(472\) | −1.89223 | + | 2.31306i | −0.0870971 | + | 0.106467i | ||||
\(473\) | −0.781796 | + | 0.112405i | −0.0359470 | + | 0.00516840i | ||||
\(474\) | 3.23181 | − | 2.34768i | 0.148442 | − | 0.107833i | ||||
\(475\) | 0.385748 | − | 0.352010i | 0.0176993 | − | 0.0161513i | ||||
\(476\) | 16.9831 | + | 20.7757i | 0.778419 | + | 0.952251i | ||||
\(477\) | 28.5630 | + | 24.7500i | 1.30781 | + | 1.13322i | ||||
\(478\) | −1.09524 | − | 5.40727i | −0.0500952 | − | 0.247323i | ||||
\(479\) | −11.5397 | − | 13.3175i | −0.527261 | − | 0.608491i | 0.428173 | − | 0.903697i | \(-0.359157\pi\) |
−0.955434 | + | 0.295205i | \(0.904612\pi\) | |||||||
\(480\) | −2.67190 | + | 1.26076i | −0.121955 | + | 0.0575456i | ||||
\(481\) | 2.21477 | + | 1.01145i | 0.100985 | + | 0.0461183i | ||||
\(482\) | 5.01072 | − | 12.8671i | 0.228232 | − | 0.586082i | ||||
\(483\) | 0.984764 | + | 3.39106i | 0.0448083 | + | 0.154299i | ||||
\(484\) | 16.1481 | + | 14.8250i | 0.734005 | + | 0.673863i | ||||
\(485\) | −16.2713 | − | 24.6172i | −0.738841 | − | 1.11781i | ||||
\(486\) | −5.31511 | + | 6.89171i | −0.241098 | + | 0.312614i | ||||
\(487\) | −7.84353 | − | 9.05191i | −0.355424 | − | 0.410181i | 0.549677 | − | 0.835377i | \(-0.314751\pi\) |
−0.905101 | + | 0.425196i | \(0.860205\pi\) | |||||||
\(488\) | −24.0373 | − | 14.5022i | −1.08812 | − | 0.656485i | ||||
\(489\) | −2.81888 | + | 3.25316i | −0.127474 | + | 0.147113i | ||||
\(490\) | −4.43975 | − | 8.15992i | −0.200567 | − | 0.368628i | ||||
\(491\) | −6.01556 | + | 1.76633i | −0.271479 | + | 0.0797133i | −0.414638 | − | 0.909986i | \(-0.636092\pi\) |
0.143160 | + | 0.989700i | \(0.454274\pi\) | |||||||
\(492\) | −0.918057 | + | 0.241171i | −0.0413892 | + | 0.0108728i | ||||
\(493\) | −40.3871 | + | 5.80679i | −1.81894 | + | 0.261525i | ||||
\(494\) | 0.408572 | − | 0.0233329i | 0.0183825 | − | 0.00104980i | ||||
\(495\) | 0.169345 | − | 1.29582i | 0.00761147 | − | 0.0582427i | ||||
\(496\) | 0.0354446 | + | 0.152627i | 0.00159151 | + | 0.00685314i | ||||
\(497\) | −32.3118 | − | 20.7655i | −1.44938 | − | 0.931462i | ||||
\(498\) | −0.0849522 | + | 0.988230i | −0.00380680 | + | 0.0442836i | ||||
\(499\) | 1.25209 | − | 8.70845i | 0.0560510 | − | 0.389844i | −0.942414 | − | 0.334450i | \(-0.891450\pi\) |
0.998465 | − | 0.0553937i | \(-0.0176414\pi\) | |||||||
\(500\) | 22.3596 | − | 0.220148i | 0.999952 | − | 0.00984534i | ||||
\(501\) | −2.14094 | − | 3.33137i | −0.0956501 | − | 0.148835i | ||||
\(502\) | −18.3701 | + | 6.55293i | −0.819899 | + | 0.292471i | ||||
\(503\) | −4.62811 | + | 15.7619i | −0.206357 | + | 0.702788i | 0.789654 | + | 0.613553i | \(0.210260\pi\) |
−0.996011 | + | 0.0892347i | \(0.971558\pi\) | |||||||
\(504\) | 0.744173 | + | 26.2520i | 0.0331481 | + | 1.16936i | ||||
\(505\) | 1.64817 | + | 1.02953i | 0.0733424 | + | 0.0458134i | ||||
\(506\) | 0.448375 | + | 1.26886i | 0.0199327 | + | 0.0564077i | ||||
\(507\) | 1.24342i | 0.0552224i | ||||||||
\(508\) | −11.2731 | + | 4.76209i | −0.500162 | + | 0.211284i | ||||
\(509\) | 2.90467 | − | 9.89241i | 0.128747 | − | 0.438473i | −0.869737 | − | 0.493516i | \(-0.835711\pi\) |
0.998484 | + | 0.0550429i | \(0.0175295\pi\) | |||||||
\(510\) | 0.672829 | − | 3.07072i | 0.0297934 | − | 0.135974i | ||||
\(511\) | 4.67335 | − | 3.00338i | 0.206737 | − | 0.132862i | ||||
\(512\) | 17.9278 | − | 13.8055i | 0.792306 | − | 0.610124i | ||||
\(513\) | 0.0206409 | − | 0.143561i | 0.000911318 | − | 0.00633836i | ||||
\(514\) | −0.477555 | + | 5.55528i | −0.0210640 | + | 0.245033i | ||||
\(515\) | 17.6948 | + | 37.4645i | 0.779725 | + | 1.65088i | ||||
\(516\) | −1.53480 | − | 1.04980i | −0.0675657 | − | 0.0462148i | ||||
\(517\) | 0.860003 | − | 0.392750i | 0.0378229 | − | 0.0172731i | ||||
\(518\) | −0.223375 | − | 3.91142i | −0.00981452 | − | 0.171858i | ||||
\(519\) | −4.99052 | + | 0.717528i | −0.219059 | + | 0.0314960i | ||||
\(520\) | 13.7043 | + | 10.9201i | 0.600973 | + | 0.478876i | ||||
\(521\) | 9.90664 | + | 33.7389i | 0.434018 | + | 1.47813i | 0.828900 | + | 0.559397i | \(0.188967\pi\) |
−0.394883 | + | 0.918732i | \(0.629215\pi\) | |||||||
\(522\) | −34.7708 | − | 19.6393i | −1.52187 | − | 0.859590i | ||||
\(523\) | 8.03900 | − | 9.27751i | 0.351521 | − | 0.405677i | −0.552260 | − | 0.833672i | \(-0.686234\pi\) |
0.903781 | + | 0.427995i | \(0.140780\pi\) | |||||||
\(524\) | −32.3235 | − | 5.59869i | −1.41206 | − | 0.244580i | ||||
\(525\) | −1.44278 | + | 3.38699i | −0.0629680 | + | 0.147820i | ||||
\(526\) | −1.17897 | + | 1.52869i | −0.0514057 | + | 0.0666540i | ||||
\(527\) | −0.151654 | − | 0.0692581i | −0.00660616 | − | 0.00301693i | ||||
\(528\) | −0.0158094 | − | 0.184702i | −0.000688018 | − | 0.00803813i | ||||
\(529\) | 3.40855 | − | 22.7460i | 0.148198 | − | 0.988958i | ||||
\(530\) | −24.2678 | − | 32.5197i | −1.05412 | − | 1.41256i | ||||
\(531\) | 1.29281 | − | 2.83085i | 0.0561030 | − | 0.122849i | ||||
\(532\) | −0.339963 | − | 0.563953i | −0.0147393 | − | 0.0244505i | ||||
\(533\) | 3.68677 | + | 4.25476i | 0.159692 | + | 0.184294i | ||||
\(534\) | 1.66977 | − | 0.338211i | 0.0722578 | − | 0.0146358i | ||||
\(535\) | −5.60100 | − | 18.2064i | −0.242152 | − | 0.787132i | ||||
\(536\) | −25.6714 | + | 8.33490i | −1.10884 | + | 0.360013i | ||||
\(537\) | −0.520316 | − | 1.77203i | −0.0224533 | − | 0.0764689i | ||||
\(538\) | −8.28208 | + | 6.01635i | −0.357066 | + | 0.259383i | ||||
\(539\) | 0.576948 | − | 0.0829526i | 0.0248509 | − | 0.00357302i | ||||
\(540\) | 4.75731 | − | 3.99194i | 0.204722 | − | 0.171786i | ||||
\(541\) | 41.4918 | − | 18.9487i | 1.78387 | − | 0.814667i | 0.810395 | − | 0.585883i | \(-0.199252\pi\) |
0.973477 | − | 0.228784i | \(-0.0734750\pi\) | |||||||
\(542\) | −15.1686 | − | 3.52849i | −0.651549 | − | 0.151562i | ||||
\(543\) | 0.598842 | − | 0.931816i | 0.0256988 | − | 0.0399880i | ||||
\(544\) | −0.00883801 | + | 24.0761i | −0.000378927 | + | 1.03226i | ||||
\(545\) | −24.5342 | − | 20.7131i | −1.05093 | − | 0.887251i | ||||
\(546\) | −2.55169 | + | 1.34615i | −0.109202 | + | 0.0576098i | ||||
\(547\) | −22.9032 | − | 35.6381i | −0.979270 | − | 1.52377i | −0.846337 | − | 0.532648i | \(-0.821197\pi\) |
−0.132933 | − | 0.991125i | \(-0.542440\pi\) | |||||||
\(548\) | −1.07723 | + | 37.5151i | −0.0460171 | + | 1.60257i | ||||
\(549\) | 28.0505 | + | 8.23636i | 1.19717 | + | 0.351519i | ||||
\(550\) | −0.475363 | + | 1.32006i | −0.0202696 | + | 0.0562875i | ||||
\(551\) | 1.00128 | 0.0426561 | ||||||||
\(552\) | −1.24262 | + | 2.91440i | −0.0528895 | + | 0.124045i | ||||
\(553\) | 38.1223i | 1.62112i | ||||||||
\(554\) | −12.0778 | + | 11.7360i | −0.513138 | + | 0.498615i | ||||
\(555\) | −0.342973 | + | 0.304992i | −0.0145584 | + | 0.0129462i | ||||
\(556\) | 1.00380 | − | 34.9579i | 0.0425708 | − | 1.48255i | ||||
\(557\) | −1.02517 | − | 1.59519i | −0.0434378 | − | 0.0675906i | 0.818856 | − | 0.574000i | \(-0.194609\pi\) |
−0.862293 | + | 0.506409i | \(0.830973\pi\) | |||||||
\(558\) | −0.0761360 | − | 0.144319i | −0.00322309 | − | 0.00610953i | ||||
\(559\) | −1.56956 | + | 10.9166i | −0.0663855 | + | 0.461721i | ||||
\(560\) | 5.25200 | − | 27.7024i | 0.221937 | − | 1.17064i | ||||
\(561\) | 0.165934 | + | 0.106639i | 0.00700574 | + | 0.00450232i | ||||
\(562\) | −8.72456 | − | 2.02948i | −0.368023 | − | 0.0856086i | ||||
\(563\) | −12.6335 | − | 27.6635i | −0.532438 | − | 1.16588i | −0.964512 | − | 0.264039i | \(-0.914945\pi\) |
0.432074 | − | 0.901838i | \(-0.357782\pi\) | |||||||
\(564\) | 2.11678 | + | 0.688128i | 0.0891326 | + | 0.0289754i | ||||
\(565\) | −24.0060 | − | 10.5925i | −1.00994 | − | 0.445630i | ||||
\(566\) | −6.55900 | − | 9.02908i | −0.275695 | − | 0.379520i | ||||
\(567\) | −7.55978 | − | 25.7463i | −0.317481 | − | 1.08124i | ||||
\(568\) | −10.6421 | − | 32.7775i | −0.446531 | − | 1.37531i | ||||
\(569\) | −25.3246 | − | 21.9439i | −1.06166 | − | 0.919935i | −0.0647063 | − | 0.997904i | \(-0.520611\pi\) |
−0.996956 | + | 0.0779689i | \(0.975157\pi\) | |||||||
\(570\) | −0.0270671 | + | 0.0722381i | −0.00113372 | + | 0.00302572i | ||||
\(571\) | 3.11471 | − | 2.69891i | 0.130347 | − | 0.112946i | −0.587248 | − | 0.809407i | \(-0.699789\pi\) |
0.717594 | + | 0.696461i | \(0.245243\pi\) | |||||||
\(572\) | −0.941636 | + | 0.567639i | −0.0393718 | + | 0.0237342i | ||||
\(573\) | −3.84950 | − | 1.75801i | −0.160815 | − | 0.0734418i | ||||
\(574\) | 3.28725 | − | 8.44141i | 0.137207 | − | 0.352338i | ||||
\(575\) | 17.7607 | − | 16.1108i | 0.740672 | − | 0.671867i | ||||
\(576\) | −14.3973 | + | 18.6537i | −0.599886 | + | 0.777238i | ||||
\(577\) | −12.3713 | − | 5.64976i | −0.515022 | − | 0.235203i | 0.140910 | − | 0.990022i | \(-0.454997\pi\) |
−0.655932 | + | 0.754820i | \(0.727724\pi\) | |||||||
\(578\) | −1.24792 | − | 0.962439i | −0.0519068 | − | 0.0400322i | ||||
\(579\) | −1.69177 | − | 1.95240i | −0.0703074 | − | 0.0811390i | ||||
\(580\) | 31.9524 | + | 28.5864i | 1.32675 | + | 1.18699i | ||||
\(581\) | −7.15400 | − | 6.19898i | −0.296798 | − | 0.257177i | ||||
\(582\) | 3.79547 | + | 2.14377i | 0.157327 | + | 0.0888619i | ||||
\(583\) | 2.44288 | − | 0.717294i | 0.101174 | − | 0.0297073i | ||||
\(584\) | 4.95169 | + | 0.569259i | 0.204903 | + | 0.0235561i | ||||
\(585\) | −16.6950 | − | 7.36655i | −0.690252 | − | 0.304569i | ||||
\(586\) | 12.9145 | − | 0.737525i | 0.533492 | − | 0.0304669i | ||||
\(587\) | −6.39803 | + | 2.92188i | −0.264075 | + | 0.120599i | −0.543053 | − | 0.839699i | \(-0.682732\pi\) |
0.278978 | + | 0.960298i | \(0.410004\pi\) | |||||||
\(588\) | 1.13265 | + | 0.774729i | 0.0467096 | + | 0.0319493i | ||||
\(589\) | 0.00344180 | + | 0.00221191i | 0.000141817 | + | 9.11403e-5i | ||||
\(590\) | −2.00631 | + | 2.67174i | −0.0825986 | + | 0.109994i | ||||
\(591\) | 1.13422 | + | 0.163076i | 0.0466555 | + | 0.00670805i | ||||
\(592\) | 2.06699 | − | 2.84322i | 0.0849529 | − | 0.116856i | ||||
\(593\) | −0.110597 | − | 0.172093i | −0.00454168 | − | 0.00706700i | 0.838975 | − | 0.544170i | \(-0.183155\pi\) |
−0.843517 | + | 0.537103i | \(0.819519\pi\) | |||||||
\(594\) | 0.130921 | + | 0.367018i | 0.00537177 | + | 0.0150589i | ||||
\(595\) | 19.9363 | + | 22.4190i | 0.817309 | + | 0.919089i | ||||
\(596\) | −18.4960 | + | 7.81326i | −0.757624 | + | 0.320044i | ||||
\(597\) | 6.37863i | 0.261060i | ||||||||
\(598\) | 18.7638 | − | 1.01562i | 0.767311 | − | 0.0415317i | ||||
\(599\) | − | 40.2891i | − | 1.64617i | −0.567920 | − | 0.823084i | \(-0.692252\pi\) | ||
0.567920 | − | 0.823084i | \(-0.307748\pi\) | |||||||
\(600\) | −2.92614 | + | 1.53247i | −0.119459 | + | 0.0625626i | ||||
\(601\) | 29.0755 | + | 8.53735i | 1.18602 | + | 0.348246i | 0.814490 | − | 0.580177i | \(-0.197017\pi\) |
0.371525 | + | 0.928423i | \(0.378835\pi\) | |||||||
\(602\) | 16.7147 | − | 5.96239i | 0.681239 | − | 0.243009i | ||||
\(603\) | 23.6453 | − | 15.1959i | 0.962913 | − | 0.618826i | ||||
\(604\) | −0.153712 | − | 1.34140i | −0.00625444 | − | 0.0545808i | ||||
\(605\) | 18.7272 | + | 15.8104i | 0.761368 | + | 0.642786i | ||||
\(606\) | −0.286010 | − | 0.0245865i | −0.0116183 | − | 0.000998760i | ||||
\(607\) | 23.9767 | + | 15.4089i | 0.973184 | + | 0.625427i | 0.927617 | − | 0.373534i | \(-0.121854\pi\) |
0.0455675 | + | 0.998961i | \(0.485490\pi\) | |||||||
\(608\) | 0.0842976 | − | 0.584778i | 0.00341872 | − | 0.0237159i | ||||
\(609\) | −6.42086 | + | 2.93231i | −0.260186 | + | 0.118823i | ||||
\(610\) | −27.5249 | − | 15.0835i | −1.11445 | − | 0.610712i | ||||
\(611\) | −1.87879 | − | 13.0672i | −0.0760075 | − | 0.528644i | ||||
\(612\) | −6.37026 | − | 24.2494i | −0.257502 | − | 0.980226i | ||||
\(613\) | −1.25674 | − | 4.28006i | −0.0507592 | − | 0.172870i | 0.930212 | − | 0.367022i | \(-0.119623\pi\) |
−0.980971 | + | 0.194152i | \(0.937804\pi\) | |||||||
\(614\) | 33.3062 | + | 18.8121i | 1.34413 | + | 0.759196i | ||||
\(615\) | −1.01433 | + | 0.312048i | −0.0409018 | + | 0.0125830i | ||||
\(616\) | 1.51483 | + | 0.913933i | 0.0610343 | + | 0.0368234i | ||||
\(617\) | 8.64615 | + | 9.97819i | 0.348081 | + | 0.401707i | 0.902611 | − | 0.430457i | \(-0.141647\pi\) |
−0.554530 | + | 0.832164i | \(0.687102\pi\) | |||||||
\(618\) | −4.84657 | − | 3.73783i | −0.194958 | − | 0.150358i | ||||
\(619\) | 14.1982 | + | 6.48409i | 0.570673 | + | 0.260618i | 0.679784 | − | 0.733412i | \(-0.262073\pi\) |
−0.109112 | + | 0.994030i | \(0.534801\pi\) | |||||||
\(620\) | 0.0466835 | + | 0.168848i | 0.00187485 | + | 0.00678111i | ||||
\(621\) | 0.967379 | − | 6.58915i | 0.0388196 | − | 0.264413i | ||||
\(622\) | −10.4236 | + | 26.7670i | −0.417949 | + | 1.07326i | ||||
\(623\) | −6.75434 | + | 14.7899i | −0.270607 | + | 0.592546i | ||||
\(624\) | −2.53680 | − | 0.514798i | −0.101553 | − | 0.0206084i | ||||
\(625\) | 24.9670 | − | 1.28451i | 0.998679 | − | 0.0513804i | ||||
\(626\) | 30.5878 | − | 6.19556i | 1.22253 | − | 0.247624i | ||||
\(627\) | −0.00365812 | − | 0.00316978i | −0.000146091 | − | 0.000126589i | ||||
\(628\) | −17.1941 | − | 21.0338i | −0.686119 | − | 0.839339i | ||||
\(629\) | 1.05374 | + | 3.58871i | 0.0420154 | + | 0.143091i | ||||
\(630\) | 2.05068 | + | 29.2907i | 0.0817011 | + | 1.16697i | ||||
\(631\) | −3.15542 | − | 21.9464i | −0.125615 | − | 0.873673i | −0.951019 | − | 0.309131i | \(-0.899962\pi\) |
0.825404 | − | 0.564542i | \(-0.190947\pi\) | |||||||
\(632\) | −21.6577 | + | 26.4743i | −0.861496 | + | 1.05309i | ||||
\(633\) | 0.372287 | − | 0.170018i | 0.0147971 | − | 0.00675760i | ||||
\(634\) | 7.02434 | − | 30.1969i | 0.278972 | − | 1.19927i | ||||
\(635\) | −12.3716 | + | 5.84321i | −0.490952 | + | 0.231881i | ||||
\(636\) | 5.37862 | + | 2.64547i | 0.213276 | + | 0.104900i | ||||
\(637\) | 1.15830 | − | 8.05618i | 0.0458937 | − | 0.319198i | ||||
\(638\) | −2.37934 | + | 1.25523i | −0.0941990 | + | 0.0496949i | ||||
\(639\) | 19.4023 | + | 30.1906i | 0.767543 | + | 1.19432i | ||||
\(640\) | 19.3854 | − | 16.2545i | 0.766274 | − | 0.642514i | ||||
\(641\) | 8.51187 | − | 28.9888i | 0.336199 | − | 1.14499i | −0.601886 | − | 0.798582i | \(-0.705584\pi\) |
0.938085 | − | 0.346406i | \(-0.112598\pi\) | |||||||
\(642\) | 1.96094 | + | 2.01805i | 0.0773920 | + | 0.0796461i | ||||
\(643\) | 32.8736 | 1.29641 | 0.648205 | − | 0.761466i | \(-0.275520\pi\) | ||||
0.648205 | + | 0.761466i | \(0.275520\pi\) | |||||||
\(644\) | −15.5333 | − | 25.9418i | −0.612098 | − | 1.02225i | ||||
\(645\) | −1.76324 | − | 1.10141i | −0.0694274 | − | 0.0433679i | ||||
\(646\) | 0.438097 | + | 0.450857i | 0.0172367 | + | 0.0177387i | ||||
\(647\) | 27.1322 | + | 7.96672i | 1.06667 | + | 0.313204i | 0.767536 | − | 0.641006i | \(-0.221482\pi\) |
0.299139 | + | 0.954210i | \(0.403301\pi\) | |||||||
\(648\) | 9.37678 | − | 22.1745i | 0.368355 | − | 0.871097i | ||||
\(649\) | −0.113343 | − | 0.176365i | −0.00444910 | − | 0.00692294i | ||||
\(650\) | 15.8159 | + | 11.5619i | 0.620349 | + | 0.453495i | ||||
\(651\) | −0.0285487 | − | 0.00410468i | −0.00111891 | − | 0.000160875i | ||||
\(652\) | 16.2679 | − | 33.0750i | 0.637101 | − | 1.29532i | ||||
\(653\) | −23.0101 | − | 14.7877i | −0.900455 | − | 0.578687i | 0.00647029 | − | 0.999979i | \(-0.497940\pi\) |
−0.906925 | + | 0.421292i | \(0.861577\pi\) | |||||||
\(654\) | 4.61976 | + | 1.07464i | 0.180647 | + | 0.0420216i | ||||
\(655\) | −36.3676 | − | 4.75272i | −1.42100 | − | 0.185704i | ||||
\(656\) | 7.07852 | − | 3.99468i | 0.276370 | − | 0.155966i | ||||
\(657\) | −5.13769 | + | 0.738688i | −0.200440 | + | 0.0288190i | ||||
\(658\) | −17.1864 | + | 12.4847i | −0.669997 | + | 0.486706i | ||||
\(659\) | 5.14073 | + | 17.5077i | 0.200255 | + | 0.682005i | 0.996980 | + | 0.0776626i | \(0.0247457\pi\) |
−0.796725 | + | 0.604342i | \(0.793436\pi\) | |||||||
\(660\) | −0.0262395 | − | 0.205591i | −0.00102137 | − | 0.00800261i | ||||
\(661\) | −0.665865 | + | 0.768449i | −0.0258991 | + | 0.0298892i | −0.768551 | − | 0.639788i | \(-0.779022\pi\) |
0.742652 | + | 0.669677i | \(0.233568\pi\) | |||||||
\(662\) | −41.0681 | + | 8.31833i | −1.59616 | + | 0.323301i | ||||
\(663\) | 2.08151 | − | 1.80364i | 0.0808393 | − | 0.0700476i | ||||
\(664\) | −1.44645 | − | 8.36919i | −0.0561331 | − | 0.324788i | ||||
\(665\) | −0.405957 | − | 0.614183i | −0.0157424 | − | 0.0238170i | ||||
\(666\) | −1.32834 | + | 3.41108i | −0.0514722 | + | 0.132176i | ||||
\(667\) | 45.9766 | + | 0.136686i | 1.78022 | + | 0.00529249i | ||||
\(668\) | 24.9787 | + | 22.9320i | 0.966456 | + | 0.887267i | ||||
\(669\) | −4.94315 | − | 2.25746i | −0.191113 | − | 0.0872786i | ||||
\(670\) | −28.2896 | + | 10.5031i | −1.09292 | + | 0.405769i | ||||
\(671\) | 1.48837 | − | 1.28968i | 0.0574579 | − | 0.0497875i | ||||
\(672\) | 1.17198 | + | 3.99684i | 0.0452102 | + | 0.154181i | ||||
\(673\) | −6.90212 | − | 5.98072i | −0.266057 | − | 0.230540i | 0.511607 | − | 0.859219i | \(-0.329050\pi\) |
−0.777665 | + | 0.628679i | \(0.783596\pi\) | |||||||
\(674\) | −2.45537 | + | 4.34715i | −0.0945772 | + | 0.167446i | ||||
\(675\) | 5.12882 | − | 4.68025i | 0.197408 | − | 0.180143i | ||||
\(676\) | −2.70521 | − | 10.2978i | −0.104047 | − | 0.396071i | ||||
\(677\) | −42.5147 | + | 6.11269i | −1.63397 | + | 0.234930i | −0.897332 | − | 0.441356i | \(-0.854498\pi\) |
−0.736639 | + | 0.676286i | \(0.763588\pi\) | |||||||
\(678\) | 3.86975 | − | 0.220995i | 0.148617 | − | 0.00848728i | ||||
\(679\) | −37.8418 | + | 17.2818i | −1.45223 | + | 0.663213i | ||||
\(680\) | 1.10845 | + | 26.8951i | 0.0425070 | + | 1.03138i | ||||
\(681\) | 0.313700 | − | 0.488127i | 0.0120210 | − | 0.0187051i | ||||
\(682\) | −0.0109516 | 0.000941446i | −0.000419359 | 3.60498e-5i | ||||||
\(683\) | 24.8450 | + | 3.57217i | 0.950667 | + | 0.136685i | 0.600165 | − | 0.799876i | \(-0.295102\pi\) |
0.350503 | + | 0.936562i | \(0.386011\pi\) | |||||||
\(684\) | 0.0700454 | + | 0.611267i | 0.00267825 | + | 0.0233724i | ||||
\(685\) | 0.539209 | + | 41.9570i | 0.0206021 | + | 1.60309i | ||||
\(686\) | 17.0580 | − | 6.08487i | 0.651277 | − | 0.232321i | ||||
\(687\) | 0.519922 | − | 1.77069i | 0.0198362 | − | 0.0675560i | ||||
\(688\) | 14.9949 | + | 5.35515i | 0.571677 | + | 0.204163i | ||||
\(689\) | − | 35.5511i | − | 1.35439i | ||||||
\(690\) | −1.25272 | + | 3.31331i | −0.0476903 | + | 0.126136i | ||||
\(691\) | −28.4503 | −1.08230 | −0.541149 | − | 0.840926i | \(-0.682011\pi\) | ||||
−0.541149 | + | 0.840926i | \(0.682011\pi\) | |||||||
\(692\) | 39.7696 | − | 16.7999i | 1.51182 | − | 0.638637i | ||||
\(693\) | −1.76774 | − | 0.519056i | −0.0671510 | − | 0.0197173i | ||||
\(694\) | −22.5981 | + | 8.06113i | −0.857814 | + | 0.305996i | ||||
\(695\) | −0.502454 | − | 39.0970i | −0.0190592 | − | 1.48303i | ||||
\(696\) | −6.12489 | − | 1.61139i | −0.232163 | − | 0.0610797i | ||||
\(697\) | −1.23078 | + | 8.56027i | −0.0466191 | + | 0.324243i | ||||
\(698\) | 0.503219 | − | 5.85383i | 0.0190471 | − | 0.221571i | ||||
\(699\) | 2.91645 | + | 1.87429i | 0.110310 | + | 0.0708921i | ||||
\(700\) | 4.58008 | − | 31.1895i | 0.173111 | − | 1.17885i | ||||
\(701\) | −16.5195 | − | 36.1726i | −0.623931 | − | 1.36622i | −0.912625 | − | 0.408797i | \(-0.865948\pi\) |
0.288694 | − | 0.957421i | \(-0.406779\pi\) | |||||||
\(702\) | 5.43228 | − | 0.310229i | 0.205028 | − | 0.0117088i | ||||
\(703\) | −0.0130622 | − | 0.0908499i | −0.000492652 | − | 0.00342647i | ||||
\(704\) | 0.532773 | + | 1.49528i | 0.0200796 | + | 0.0563555i | ||||
\(705\) | 2.39655 | + | 0.670363i | 0.0902594 | + | 0.0252473i | ||||
\(706\) | −12.2218 | − | 6.90316i | −0.459974 | − | 0.259804i | ||||
\(707\) | 1.79408 | − | 2.07048i | 0.0674734 | − | 0.0778685i | ||||
\(708\) | 0.0842348 | − | 0.486321i | 0.00316574 | − | 0.0182771i | ||||
\(709\) | 13.3234 | + | 15.3760i | 0.500370 | + | 0.577458i | 0.948607 | − | 0.316457i | \(-0.102493\pi\) |
−0.448237 | + | 0.893915i | \(0.647948\pi\) | |||||||
\(710\) | −13.4104 | − | 36.1204i | −0.503284 | − | 1.35557i | ||||
\(711\) | 14.7969 | − | 32.4007i | 0.554927 | − | 1.21512i | ||||
\(712\) | −13.0929 | + | 6.43378i | −0.490678 | + | 0.241116i | ||||
\(713\) | 0.157738 | + | 0.102036i | 0.00590732 | + | 0.00382127i | ||||
\(714\) | −4.12971 | − | 1.60819i | −0.154550 | − | 0.0601850i | ||||
\(715\) | −1.02551 | + | 0.677830i | −0.0383517 | + | 0.0253494i | ||||
\(716\) | 8.16444 | + | 13.5437i | 0.305120 | + | 0.506152i | ||||
\(717\) | 0.596698 | + | 0.688626i | 0.0222841 | + | 0.0257172i | ||||
\(718\) | −5.41219 | + | 1.09624i | −0.201981 | + | 0.0409112i | ||||
\(719\) | −23.6391 | − | 20.4834i | −0.881591 | − | 0.763903i | 0.0911406 | − | 0.995838i | \(-0.470949\pi\) |
−0.972731 | + | 0.231935i | \(0.925494\pi\) | |||||||
\(720\) | −15.2163 | + | 21.5062i | −0.567077 | + | 0.801489i | ||||
\(721\) | 56.0459 | − | 16.4566i | 2.08726 | − | 0.612874i | ||||
\(722\) | 15.7832 | + | 21.7270i | 0.587388 | + | 0.808596i | ||||
\(723\) | 0.324555 | + | 2.25733i | 0.0120703 | + | 0.0839510i | ||||
\(724\) | −2.93224 | + | 9.02001i | −0.108976 | + | 0.335226i | ||||
\(725\) | 37.0209 | + | 30.4488i | 1.37492 | + | 1.13084i | ||||
\(726\) | −3.52630 | − | 0.820278i | −0.130873 | − | 0.0304434i | ||||
\(727\) | 14.6340 | − | 22.7710i | 0.542746 | − | 0.844529i | −0.456226 | − | 0.889864i | \(-0.650799\pi\) |
0.998972 | + | 0.0453352i | \(0.0144356\pi\) | |||||||
\(728\) | 18.2040 | − | 16.7001i | 0.674685 | − | 0.618947i | ||||
\(729\) | −3.42959 | + | 23.8533i | −0.127022 | + | 0.883455i | ||||
\(730\) | 5.55782 | + | 0.405898i | 0.205704 | + | 0.0150230i | ||||
\(731\) | −14.2524 | + | 9.15949i | −0.527146 | + | 0.338776i | ||||
\(732\) | 4.63458 | + | 0.133080i | 0.171299 | + | 0.00491879i | ||||
\(733\) | −10.7179 | + | 36.5017i | −0.395874 | + | 1.34822i | 0.484852 | + | 0.874596i | \(0.338873\pi\) |
−0.880726 | + | 0.473626i | \(0.842945\pi\) | |||||||
\(734\) | −9.77686 | − | 10.0616i | −0.360871 | − | 0.371382i | ||||
\(735\) | 1.30123 | + | 0.812814i | 0.0479966 | + | 0.0299811i | ||||
\(736\) | 3.95057 | − | 26.8401i | 0.145620 | − | 0.989341i | ||||
\(737\) | − | 1.89345i | − | 0.0697460i | ||||||
\(738\) | −6.07037 | + | 5.89856i | −0.223453 | + | 0.217129i | ||||
\(739\) | −25.2283 | − | 7.40769i | −0.928037 | − | 0.272496i | −0.217422 | − | 0.976078i | \(-0.569765\pi\) |
−0.710615 | + | 0.703582i | \(0.751583\pi\) | |||||||
\(740\) | 2.17691 | − | 3.27208i | 0.0800248 | − | 0.120284i | ||||
\(741\) | −0.0568590 | + | 0.0365411i | −0.00208877 | + | 0.00134237i | ||||
\(742\) | −50.5956 | + | 26.6918i | −1.85742 | + | 0.979887i | ||||
\(743\) | −0.350514 | − | 0.0503964i | −0.0128591 | − | 0.00184886i | 0.135882 | − | 0.990725i | \(-0.456613\pi\) |
−0.148741 | + | 0.988876i | \(0.547522\pi\) | |||||||
\(744\) | −0.0174940 | − | 0.0190694i | −0.000641360 | − | 0.000699117i | ||||
\(745\) | −20.2983 | + | 9.58708i | −0.743674 | + | 0.351243i | ||||
\(746\) | 1.75288 | + | 0.407750i | 0.0641775 | + | 0.0149288i | ||||
\(747\) | 3.67420 | + | 8.04538i | 0.134432 | + | 0.294365i | ||||
\(748\) | −1.60625 | − | 0.522162i | −0.0587302 | − | 0.0190921i | ||||
\(749\) | −26.5811 | + | 3.82179i | −0.971253 | + | 0.139645i | ||||
\(750\) | −3.19751 | + | 1.84779i | −0.116757 | + | 0.0674716i | ||||
\(751\) | 26.7818 | − | 7.86383i | 0.977280 | − | 0.286955i | 0.246179 | − | 0.969224i | \(-0.420825\pi\) |
0.731101 | + | 0.682269i | \(0.239007\pi\) | |||||||
\(752\) | −19.0280 | − | 1.09367i | −0.693879 | − | 0.0398819i | ||||
\(753\) | 2.10944 | − | 2.43442i | 0.0768723 | − | 0.0887153i | ||||
\(754\) | 7.45708 | + | 36.8160i | 0.271571 | + | 1.34076i | ||||
\(755\) | −0.234014 | − | 1.49130i | −0.00851663 | − | 0.0542738i | ||||
\(756\) | −4.52007 | − | 7.49819i | −0.164393 | − | 0.272707i | ||||
\(757\) | −32.6829 | − | 14.9258i | −1.18788 | − | 0.542487i | −0.279302 | − | 0.960203i | \(-0.590103\pi\) |
−0.908577 | + | 0.417717i | \(0.862830\pi\) | |||||||
\(758\) | 9.25752 | − | 23.7726i | 0.336248 | − | 0.863459i | ||||
\(759\) | −0.167539 | − | 0.146048i | −0.00608129 | − | 0.00530121i | ||||
\(760\) | 0.0670036 | − | 0.657153i | 0.00243048 | − | 0.0238375i | ||||
\(761\) | −7.87078 | + | 17.2346i | −0.285315 | + | 0.624754i | −0.996971 | − | 0.0777749i | \(-0.975218\pi\) |
0.711655 | + | 0.702529i | \(0.247946\pi\) | |||||||
\(762\) | 1.23432 | − | 1.60045i | 0.0447146 | − | 0.0579781i | ||||
\(763\) | −34.2101 | + | 29.6433i | −1.23849 | + | 1.07316i | ||||
\(764\) | 35.7057 | + | 6.18452i | 1.29179 | + | 0.223748i | ||||
\(765\) | −8.24238 | − | 26.7924i | −0.298004 | − | 0.968681i | ||||
\(766\) | −0.932241 | − | 0.526551i | −0.0336833 | − | 0.0190251i | ||||
\(767\) | −2.80880 | + | 0.824737i | −0.101420 | + | 0.0297795i | ||||
\(768\) | −1.45675 | + | 3.44145i | −0.0525660 | + | 0.124183i | ||||
\(769\) | 38.2142 | − | 5.49437i | 1.37804 | − | 0.198132i | 0.586845 | − | 0.809699i | \(-0.300370\pi\) |
0.791193 | + | 0.611567i | \(0.209461\pi\) | |||||||
\(770\) | 1.73462 | + | 0.950562i | 0.0625115 | + | 0.0342559i | ||||
\(771\) | −0.382546 | − | 0.837659i | −0.0137771 | − | 0.0301676i | ||||
\(772\) | 18.2586 | + | 12.4889i | 0.657143 | + | 0.449484i | ||||
\(773\) | −19.7335 | + | 30.7059i | −0.709765 | + | 1.10442i | 0.279762 | + | 0.960069i | \(0.409744\pi\) |
−0.989527 | + | 0.144347i | \(0.953892\pi\) | |||||||
\(774\) | −16.5203 | − | 1.42015i | −0.593810 | − | 0.0510463i | ||||
\(775\) | 0.0599915 | + | 0.186447i | 0.00215496 | + | 0.00669736i | ||||
\(776\) | −36.0975 | − | 9.49687i | −1.29582 | − | 0.340918i | ||||
\(777\) | 0.349822 | + | 0.544333i | 0.0125498 | + | 0.0195278i | ||||
\(778\) | 10.1614 | + | 28.4858i | 0.364303 | + | 1.02127i | ||||
\(779\) | 0.0597914 | − | 0.203631i | 0.00214225 | − | 0.00729583i | ||||
\(780\) | −2.85769 | − | 0.457232i | −0.102322 | − | 0.0163715i | ||||
\(781\) | 2.41757 | 0.0865074 | ||||||||
\(782\) | 20.0548 | + | 20.7621i | 0.717159 | + | 0.742451i | ||||
\(783\) | 13.3128 | 0.475762 | ||||||||
\(784\) | −11.0659 | − | 3.95198i | −0.395212 | − | 0.141142i | ||||
\(785\) | −20.1840 | − | 22.6975i | −0.720397 | − | 0.810109i | ||||
\(786\) | 5.10299 | − | 1.82032i | 0.182017 | − | 0.0649286i | ||||
\(787\) | −0.897792 | + | 0.576976i | −0.0320028 | + | 0.0205670i | −0.556544 | − | 0.830818i | \(-0.687873\pi\) |
0.524542 | + | 0.851385i | \(0.324237\pi\) | |||||||
\(788\) | −9.74821 | + | 1.11705i | −0.347266 | + | 0.0397934i | ||||
\(789\) | 0.0453752 | − | 0.315592i | 0.00161540 | − | 0.0112354i | ||||
\(790\) | −22.9634 | + | 30.5796i | −0.817001 | + | 1.08797i | ||||
\(791\) | −19.9992 | + | 31.1194i | −0.711091 | + | 1.10648i | ||||
\(792\) | −0.932743 | − | 1.36474i | −0.0331436 | − | 0.0484938i | ||||
\(793\) | −11.4237 | − | 25.0145i | −0.405668 | − | 0.888290i | ||||
\(794\) | 0.606175 | + | 10.6145i | 0.0215123 | + | 0.376693i | ||||
\(795\) | 6.13116 | + | 2.70534i | 0.217450 | + | 0.0959484i | ||||
\(796\) | −13.8775 | − | 52.8268i | −0.491873 | − | 1.87240i | ||||
\(797\) | −0.914012 | − | 3.11284i | −0.0323760 | − | 0.110262i | 0.941720 | − | 0.336398i | \(-0.109209\pi\) |
−0.974096 | + | 0.226136i | \(0.927391\pi\) | |||||||
\(798\) | 0.0946943 | + | 0.0534855i | 0.00335214 | + | 0.00189337i | ||||
\(799\) | 13.2803 | − | 15.3263i | 0.469825 | − | 0.542207i | ||||
\(800\) | 20.8998 | − | 19.0578i | 0.738918 | − | 0.673795i | ||||
\(801\) | 11.4812 | − | 9.94855i | 0.405670 | − | 0.351515i | ||||
\(802\) | 9.40873 | − | 12.1996i | 0.332234 | − | 0.430783i | ||||
\(803\) | −0.145254 | + | 0.318062i | −0.00512590 | + | 0.0112241i | ||||
\(804\) | 3.01466 | − | 3.28372i | 0.106319 | − | 0.115808i | ||||
\(805\) | −18.5568 | − | 28.2572i | −0.654040 | − | 0.995937i | ||||
\(806\) | −0.0556966 | + | 0.143024i | −0.00196183 | + | 0.00503782i | ||||
\(807\) | 0.702324 | − | 1.53787i | 0.0247230 | − | 0.0541358i | ||||
\(808\) | 2.42218 | − | 0.418625i | 0.0852120 | − | 0.0147272i | ||||
\(809\) | −9.73329 | − | 11.2328i | −0.342204 | − | 0.394925i | 0.558395 | − | 0.829575i | \(-0.311417\pi\) |
−0.900599 | + | 0.434650i | \(0.856872\pi\) | |||||||
\(810\) | 9.44451 | − | 25.2060i | 0.331846 | − | 0.885648i | ||||
\(811\) | −4.40165 | + | 5.07977i | −0.154563 | + | 0.178375i | −0.827750 | − | 0.561097i | \(-0.810379\pi\) |
0.673187 | + | 0.739472i | \(0.264925\pi\) | |||||||
\(812\) | 46.7970 | − | 38.2543i | 1.64225 | − | 1.34246i | ||||
\(813\) | 2.46791 | − | 0.724642i | 0.0865532 | − | 0.0254143i | ||||
\(814\) | 0.144931 | + | 0.199511i | 0.00507982 | + | 0.00699285i | ||||
\(815\) | 16.6361 | − | 37.7027i | 0.582736 | − | 1.32067i | ||||
\(816\) | −1.95428 | − | 3.46295i | −0.0684134 | − | 0.121228i | ||||
\(817\) | 0.378181 | − | 0.172709i | 0.0132309 | − | 0.00604233i | ||||
\(818\) | −9.47468 | + | 40.7307i | −0.331274 | + | 1.42412i | ||||
\(819\) | −13.9085 | + | 21.6420i | −0.486001 | + | 0.756232i | ||||
\(820\) | 7.72164 | − | 4.79113i | 0.269651 | − | 0.167313i | ||||
\(821\) | 23.2090 | + | 3.33695i | 0.809999 | + | 0.116460i | 0.534856 | − | 0.844943i | \(-0.320366\pi\) |
0.275143 | + | 0.961403i | \(0.411275\pi\) | |||||||
\(822\) | −2.89220 | − | 5.48231i | −0.100877 | − | 0.191218i | ||||
\(823\) | 37.3901 | − | 24.0292i | 1.30334 | − | 0.837604i | 0.309766 | − | 0.950813i | \(-0.399749\pi\) |
0.993571 | + | 0.113209i | \(0.0361129\pi\) | |||||||
\(824\) | 48.2707 | + | 20.4119i | 1.68159 | + | 0.711082i | ||||
\(825\) | −0.0388609 | − | 0.228440i | −0.00135296 | − | 0.00795326i | ||||
\(826\) | 3.28260 | + | 3.37821i | 0.114216 | + | 0.117543i | ||||
\(827\) | −15.7947 | −0.549234 | −0.274617 | − | 0.961554i | \(-0.588551\pi\) | ||||
−0.274617 | + | 0.961554i | \(0.588551\pi\) | |||||||
\(828\) | 3.13287 | + | 28.0775i | 0.108875 | + | 0.975760i | ||||
\(829\) | 41.7403i | 1.44970i | 0.688907 | + | 0.724850i | \(0.258091\pi\) | ||||
−0.688907 | + | 0.724850i | \(0.741909\pi\) | |||||||
\(830\) | −2.00453 | − | 9.28178i | −0.0695781 | − | 0.322175i | ||||
\(831\) | 0.783598 | − | 2.66869i | 0.0271827 | − | 0.0925758i | ||||
\(832\) | 22.1294 | − | 1.25563i | 0.767200 | − | 0.0435310i | ||||
\(833\) | 10.5180 | − | 6.75950i | 0.364427 | − | 0.234203i | ||||
\(834\) | 2.69506 | + | 5.10861i | 0.0933222 | + | 0.176897i | ||||
\(835\) | 28.9681 | + | 24.4564i | 1.00248 | + | 0.846349i | ||||
\(836\) | 0.0371922 | + | 0.0182930i | 0.00128632 | + | 0.000632675i | ||||
\(837\) | 0.0457615 | + | 0.0294091i | 0.00158175 | + | 0.00101653i | ||||
\(838\) | −5.91022 | − | 1.37482i | −0.204165 | − | 0.0474924i | ||||
\(839\) | 8.73465 | + | 19.1262i | 0.301554 | + | 0.660310i | 0.998378 | − | 0.0569314i | \(-0.0181316\pi\) |
−0.696824 | + | 0.717242i | \(0.745404\pi\) | |||||||
\(840\) | 1.49484 | + | 4.41030i | 0.0515767 | + | 0.152170i | ||||
\(841\) | 8.95261 | + | 62.2668i | 0.308711 | + | 2.14713i | ||||
\(842\) | 25.9729 | + | 35.7541i | 0.895085 | + | 1.23217i | ||||
\(843\) | 1.41947 | − | 0.416793i | 0.0488890 | − | 0.0143551i | ||||
\(844\) | −2.71333 | + | 2.21802i | −0.0933967 | + | 0.0763472i | ||||
\(845\) | −3.50024 | − | 11.3777i | −0.120412 | − | 0.391406i | ||||
\(846\) | 19.4529 | − | 3.94018i | 0.668804 | − | 0.135466i | ||||
\(847\) | 26.1129 | − | 22.6269i | 0.897248 | − | 0.777470i | ||||
\(848\) | −50.3004 | − | 10.2076i | −1.72732 | − | 0.350529i | ||||
\(849\) | 1.67658 | + | 0.765670i | 0.0575402 | + | 0.0262777i | ||||
\(850\) | 2.48747 | + | 29.9922i | 0.0853196 | + | 1.02872i | ||||
\(851\) | −0.587385 | − | 4.17340i | −0.0201353 | − | 0.143062i | ||||
\(852\) | 4.19268 | + | 3.84914i | 0.143639 | + | 0.131869i | ||||
\(853\) | 2.20134 | − | 4.82027i | 0.0753726 | − | 0.165043i | −0.868195 | − | 0.496224i | \(-0.834720\pi\) |
0.943567 | + | 0.331181i | \(0.107447\pi\) | |||||||
\(854\) | −27.0231 | + | 35.0389i | −0.924712 | + | 1.19901i | ||||
\(855\) | 0.106638 | + | 0.679573i | 0.00364696 | + | 0.0232409i | ||||
\(856\) | −20.6307 | − | 12.4470i | −0.705142 | − | 0.425428i | ||||
\(857\) | 23.6195 | + | 20.4664i | 0.806827 | + | 0.699120i | 0.957174 | − | 0.289514i | \(-0.0934936\pi\) |
−0.150347 | + | 0.988633i | \(0.548039\pi\) | |||||||
\(858\) | 0.0893050 | − | 0.158112i | 0.00304882 | − | 0.00539784i | ||||
\(859\) | −3.39575 | + | 0.997083i | −0.115862 | + | 0.0340200i | −0.339149 | − | 0.940733i | \(-0.610139\pi\) |
0.223288 | + | 0.974753i | \(0.428321\pi\) | |||||||
\(860\) | 16.9991 | + | 5.28556i | 0.579665 | + | 0.180236i | ||||
\(861\) | 0.212923 | + | 1.48091i | 0.00725638 | + | 0.0504693i | ||||
\(862\) | 1.89956 | + | 33.2624i | 0.0646993 | + | 1.13292i | ||||
\(863\) | −3.21645 | − | 7.04304i | −0.109489 | − | 0.239748i | 0.846954 | − | 0.531666i | \(-0.178434\pi\) |
−0.956443 | + | 0.291918i | \(0.905707\pi\) | |||||||
\(864\) | 1.12080 | − | 7.77508i | 0.0381304 | − | 0.264514i | ||||
\(865\) | 43.6451 | − | 20.6139i | 1.48398 | − | 0.700895i | ||||
\(866\) | 29.6736 | + | 2.55086i | 1.00835 | + | 0.0866819i | ||||
\(867\) | 0.257629 | + | 0.0370414i | 0.00874954 | + | 0.00125799i | ||||
\(868\) | 0.245366 | − | 0.0281167i | 0.00832828 | − | 0.000954342i | ||||
\(869\) | −1.29727 | − | 2.01860i | −0.0440070 | − | 0.0684763i | ||||
\(870\) | −6.91677 | − | 1.51554i | −0.234501 | − | 0.0513816i | ||||
\(871\) | −25.3681 | − | 7.44874i | −0.859564 | − | 0.252391i | ||||
\(872\) | −40.5982 | + | 1.15085i | −1.37483 | + | 0.0389726i | ||||
\(873\) | 38.8701 | 1.31555 | ||||||||
\(874\) | −0.414623 | − | 0.574351i | −0.0140248 | − | 0.0194277i | ||||
\(875\) | 3.66754 | − | 35.0535i | 0.123985 | − | 1.18503i | ||||
\(876\) | −0.758310 | + | 0.320333i | −0.0256209 | + | 0.0108231i | ||||
\(877\) | −9.15971 | − | 2.68953i | −0.309301 | − | 0.0908191i | 0.123398 | − | 0.992357i | \(-0.460621\pi\) |
−0.432700 | + | 0.901538i | \(0.642439\pi\) | |||||||
\(878\) | −5.78325 | + | 2.06298i | −0.195175 | + | 0.0696223i | ||||
\(879\) | −1.79724 | + | 1.15502i | −0.0606195 | + | 0.0389578i | ||||
\(880\) | 0.664599 | + | 1.64558i | 0.0224036 | + | 0.0554726i | ||||
\(881\) | 6.15067 | + | 0.884333i | 0.207221 | + | 0.0297939i | 0.245144 | − | 0.969487i | \(-0.421165\pi\) |
−0.0379223 | + | 0.999281i | \(0.512074\pi\) | |||||||
\(882\) | 12.1916 | + | 1.04804i | 0.410514 | + | 0.0352894i | ||||
\(883\) | −4.05946 | + | 6.31665i | −0.136612 | + | 0.212572i | −0.902818 | − | 0.430022i | \(-0.858506\pi\) |
0.766206 | + | 0.642595i | \(0.222142\pi\) | |||||||
\(884\) | −13.3148 | + | 19.4661i | −0.447824 | + | 0.654715i | ||||
\(885\) | 0.0715067 | − | 0.547167i | 0.00240367 | − | 0.0183928i | ||||
\(886\) | −20.1768 | + | 1.15227i | −0.677854 | + | 0.0387112i | ||||
\(887\) | −0.138668 | − | 0.964455i | −0.00465601 | − | 0.0323832i | 0.987361 | − | 0.158487i | \(-0.0506617\pi\) |
−0.992017 | + | 0.126104i | \(0.959753\pi\) | |||||||
\(888\) | −0.0663051 | + | 0.576754i | −0.00222505 | + | 0.0193546i | ||||
\(889\) | 5.43433 | + | 18.5076i | 0.182261 | + | 0.620726i | ||||
\(890\) | −14.3269 | + | 7.79513i | −0.480237 | + | 0.261293i | ||||
\(891\) | 1.27642 | + | 1.10603i | 0.0427618 | + | 0.0370533i | ||||
\(892\) | 45.8499 | + | 7.94156i | 1.53517 | + | 0.265903i | ||||
\(893\) | −0.376105 | + | 0.325897i | −0.0125859 | + | 0.0109057i | ||||
\(894\) | 2.02517 | − | 2.62589i | 0.0677318 | − | 0.0878228i | ||||
\(895\) | 9.74934 | + | 14.7500i | 0.325885 | + | 0.493039i | ||||
\(896\) | −18.4018 | − | 30.5514i | −0.614760 | − | 1.02065i | ||||
\(897\) | −2.61582 | + | 1.67012i | −0.0873397 | + | 0.0557636i | ||||
\(898\) | −5.44583 | − | 2.12071i | −0.181730 | − | 0.0707692i | ||||
\(899\) | −0.156003 | + | 0.341599i | −0.00520300 | + | 0.0113930i | ||||
\(900\) | −15.9987 | + | 24.7307i | −0.533289 | + | 0.824357i | ||||
\(901\) | 41.2728 | − | 35.7631i | 1.37500 | − | 1.19144i | ||||
\(902\) | 0.113193 | + | 0.558841i | 0.00376892 | + | 0.0186074i | ||||
\(903\) | −1.91934 | + | 2.21504i | −0.0638717 | + | 0.0737119i | ||||
\(904\) | −31.5679 | + | 10.2494i | −1.04993 | + | 0.340888i | ||||
\(905\) | −2.85654 | + | 10.2122i | −0.0949547 | + | 0.339464i | ||||
\(906\) | 0.131058 | + | 0.180413i | 0.00435410 | + | 0.00599383i | ||||
\(907\) | −1.28928 | − | 8.96712i | −0.0428098 | − | 0.297748i | −0.999967 | − | 0.00817827i | \(-0.997397\pi\) |
0.957157 | − | 0.289570i | \(-0.0935123\pi\) | |||||||
\(908\) | −1.53604 | + | 4.72509i | −0.0509753 | + | 0.156808i | ||||
\(909\) | −2.32846 | + | 1.06337i | −0.0772303 | + | 0.0352699i | ||||
\(910\) | 19.5594 | − | 19.5007i | 0.648388 | − | 0.646442i | ||||
\(911\) | −31.6128 | − | 20.3163i | −1.04738 | − | 0.673109i | −0.100577 | − | 0.994929i | \(-0.532069\pi\) |
−0.946801 | + | 0.321820i | \(0.895705\pi\) | |||||||
\(912\) | 0.0353755 | + | 0.0909403i | 0.00117140 | + | 0.00301133i | ||||
\(913\) | 0.589756 | + | 0.0847941i | 0.0195181 | + | 0.00280627i | ||||
\(914\) | 26.5975 | − | 14.0315i | 0.879766 | − | 0.464122i | ||||
\(915\) | 5.18332 | − | 0.0666133i | 0.171355 | − | 0.00220217i | ||||
\(916\) | −0.453569 | + | 15.7957i | −0.0149864 | + | 0.521906i | ||||
\(917\) | −14.5675 | + | 49.6124i | −0.481061 | + | 1.63834i | ||||
\(918\) | 5.82484 | + | 5.99450i | 0.192248 | + | 0.197848i | ||||
\(919\) | 42.9290 | 1.41610 | 0.708049 | − | 0.706163i | \(-0.249575\pi\) | ||||
0.708049 | + | 0.706163i | \(0.249575\pi\) | |||||||
\(920\) | 3.16635 | − | 30.1658i | 0.104392 | − | 0.994536i | ||||
\(921\) | −6.31755 | −0.208170 | ||||||||
\(922\) | 25.8402 | + | 26.5928i | 0.851002 | + | 0.875789i | ||||
\(923\) | 9.51061 | − | 32.3902i | 0.313046 | − | 1.06614i | ||||
\(924\) | −0.292071 | − | 0.00838673i | −0.00960845 | − | 0.000275903i | ||||
\(925\) | 2.27977 | − | 3.75625i | 0.0749584 | − | 0.123505i | ||||
\(926\) | 37.9902 | − | 20.0418i | 1.24844 | − | 0.658615i | ||||
\(927\) | −54.0218 | − | 7.76716i | −1.77431 | − | 0.255107i | ||||
\(928\) | 54.2312 | + | 0.0199075i | 1.78023 | + | 0.000653497i | ||||
\(929\) | 22.8557 | + | 14.6884i | 0.749870 | + | 0.481912i | 0.858911 | − | 0.512125i | \(-0.171142\pi\) |
−0.109041 | + | 0.994037i | \(0.534778\pi\) | |||||||
\(930\) | −0.0204277 | − | 0.0204892i | −0.000669851 | − | 0.000671868i | ||||
\(931\) | −0.279089 | + | 0.127456i | −0.00914677 | + | 0.00417719i | ||||
\(932\) | −28.2313 | − | 9.17750i | −0.924748 | − | 0.300619i | ||||
\(933\) | −0.675160 | − | 4.69584i | −0.0221037 | − | 0.153735i | ||||
\(934\) | 25.7705 | + | 35.4755i | 0.843237 | + | 1.16079i | ||||
\(935\) | −1.81854 | − | 0.508682i | −0.0594727 | − | 0.0166357i | ||||
\(936\) | −21.9539 | + | 7.12791i | −0.717586 | + | 0.232983i | ||||
\(937\) | 13.8983 | − | 16.0395i | 0.454039 | − | 0.523989i | −0.481864 | − | 0.876246i | \(-0.660040\pi\) |
0.935903 | + | 0.352257i | \(0.114586\pi\) | |||||||
\(938\) | 8.44548 | + | 41.6958i | 0.275755 | + | 1.36142i | ||||
\(939\) | −3.89542 | + | 3.37540i | −0.127122 | + | 0.110152i | ||||
\(940\) | −21.3064 | − | 0.337862i | −0.694937 | − | 0.0110199i | ||||
\(941\) | −8.91982 | + | 19.5317i | −0.290778 | + | 0.636714i | −0.997492 | − | 0.0707851i | \(-0.977450\pi\) |
0.706714 | + | 0.707499i | \(0.250177\pi\) | |||||||
\(942\) | 4.18101 | + | 1.62817i | 0.136225 | + | 0.0530487i | ||||
\(943\) | 2.77328 | − | 9.34208i | 0.0903103 | − | 0.304220i | ||||
\(944\) | 0.360429 | + | 4.21090i | 0.0117310 | + | 0.137053i | ||||
\(945\) | −5.39752 | − | 8.16604i | −0.175581 | − | 0.265641i | ||||
\(946\) | −0.682156 | + | 0.884501i | −0.0221788 | + | 0.0287576i | ||||
\(947\) | 41.6607 | − | 36.0992i | 1.35379 | − | 1.17307i | 0.385655 | − | 0.922643i | \(-0.373976\pi\) |
0.968136 | − | 0.250424i | \(-0.0805699\pi\) | |||||||
\(948\) | 0.964114 | − | 5.56622i | 0.0313130 | − | 0.180782i | ||||
\(949\) | 3.68991 | + | 3.19733i | 0.119780 | + | 0.103790i | ||||
\(950\) | 0.0443233 | − | 0.737198i | 0.00143804 | − | 0.0239178i | ||||
\(951\) | 1.44258 | + | 4.91298i | 0.0467789 | + | 0.159314i | ||||
\(952\) | 37.7004 | + | 4.33414i | 1.22188 | + | 0.140470i | ||||
\(953\) | 5.94997 | + | 41.3830i | 0.192739 | + | 1.34053i | 0.824719 | + | 0.565542i | \(0.191333\pi\) |
−0.631981 | + | 0.774984i | \(0.717758\pi\) | |||||||
\(954\) | 53.3622 | − | 3.04743i | 1.72767 | − | 0.0986643i | ||||
\(955\) | 40.1730 | + | 5.25002i | 1.29997 | + | 0.169887i | ||||
\(956\) | −6.43995 | − | 4.40491i | −0.208283 | − | 0.142465i | ||||
\(957\) | 0.240204 | − | 0.373765i | 0.00776470 | − | 0.0120821i | ||||
\(958\) | −24.8291 | − | 2.13441i | −0.802191 | − | 0.0689596i | ||||
\(959\) | 58.5535 | + | 8.41873i | 1.89079 | + | 0.271855i | ||||
\(960\) | −1.46744 | + | 3.91200i | −0.0473614 | + | 0.126259i | ||||
\(961\) | 26.0776 | − | 16.7590i | 0.841212 | − | 0.540614i | ||||
\(962\) | 3.24316 | − | 1.15689i | 0.104564 | − | 0.0372996i | ||||
\(963\) | 24.0751 | + | 7.06909i | 0.775810 | + | 0.227798i | ||||
\(964\) | −7.59901 | − | 17.9888i | −0.244748 | − | 0.579379i | ||||
\(965\) | 20.9762 | + | 13.1028i | 0.675249 | + | 0.421795i | ||||
\(966\) | 4.34084 | + | 2.46885i | 0.139664 | + | 0.0794341i | ||||
\(967\) | 22.9932 | 0.739411 | 0.369705 | − | 0.929149i | \(-0.379459\pi\) | ||||
0.369705 | + | 0.929149i | \(0.379459\pi\) | |||||||
\(968\) | 30.9889 | − | 0.878451i | 0.996021 | − | 0.0282345i | ||||
\(969\) | −0.0996202 | − | 0.0292511i | −0.00320026 | − | 0.000939682i | ||||
\(970\) | −40.7645 | − | 8.93195i | −1.30887 | − | 0.286788i | ||||
\(971\) | −26.9748 | − | 41.9736i | −0.865662 | − | 1.34700i | −0.936922 | − | 0.349539i | \(-0.886338\pi\) |
0.0712592 | − | 0.997458i | \(-0.477298\pi\) | |||||||
\(972\) | 1.40123 | + | 12.2282i | 0.0449446 | + | 0.392219i | ||||
\(973\) | −54.5623 | − | 7.84487i | −1.74919 | − | 0.251495i | ||||
\(974\) | −16.8764 | − | 1.45076i | −0.540753 | − | 0.0464853i | ||||
\(975\) | −3.21348 | − | 0.378022i | −0.102914 | − | 0.0121064i | ||||
\(976\) | −38.6724 | + | 8.98091i | −1.23787 | + | 0.287472i | ||||
\(977\) | −4.54807 | − | 9.95888i | −0.145506 | − | 0.318613i | 0.822821 | − | 0.568301i | \(-0.192399\pi\) |
−0.968326 | + | 0.249688i | \(0.919672\pi\) | |||||||
\(978\) | 0.347085 | + | 6.07765i | 0.0110986 | + | 0.194342i | ||||
\(979\) | −0.145645 | − | 1.01298i | −0.00465483 | − | 0.0323751i | ||||
\(980\) | −12.5450 | − | 3.90063i | −0.400734 | − | 0.124601i | ||||
\(981\) | 40.5816 | − | 11.9158i | 1.29567 | − | 0.380443i | ||||
\(982\) | −4.36049 | + | 7.72010i | −0.139149 | + | 0.246358i | ||||
\(983\) | −5.89736 | − | 5.11009i | −0.188097 | − | 0.162987i | 0.555722 | − | 0.831368i | \(-0.312442\pi\) |
−0.743819 | + | 0.668382i | \(0.766987\pi\) | |||||||
\(984\) | −0.693455 | + | 1.14939i | −0.0221065 | + | 0.0366413i | ||||
\(985\) | −10.8375 | + | 1.70062i | −0.345313 | + | 0.0541864i | ||||
\(986\) | −35.2398 | + | 45.6928i | −1.12226 | + | 1.45516i | ||||
\(987\) | 1.45742 | − | 3.19130i | 0.0463901 | − | 0.101580i | ||||
\(988\) | 0.391398 | − | 0.426331i | 0.0124520 | − | 0.0135634i | ||||
\(989\) | 17.3887 | − | 7.87878i | 0.552930 | − | 0.250530i | ||||
\(990\) | −1.10533 | − | 1.48118i | −0.0351297 | − | 0.0470750i | ||||
\(991\) | 29.5844 | + | 13.5107i | 0.939779 | + | 0.429183i | 0.825586 | − | 0.564276i | \(-0.190845\pi\) |
0.114193 | + | 0.993459i | \(0.463572\pi\) | |||||||
\(992\) | 0.186370 | + | 0.119869i | 0.00591726 | + | 0.00380586i | ||||
\(993\) | 5.23010 | − | 4.53191i | 0.165972 | − | 0.143816i | ||||
\(994\) | −53.2376 | + | 10.7833i | −1.68859 | + | 0.342024i | ||||
\(995\) | −17.9558 | − | 58.3666i | −0.569238 | − | 1.85035i | ||||
\(996\) | 0.887781 | + | 1.08604i | 0.0281304 | + | 0.0344124i | ||||
\(997\) | −27.9953 | + | 8.22016i | −0.886620 | + | 0.260335i | −0.693169 | − | 0.720775i | \(-0.743786\pi\) |
−0.193451 | + | 0.981110i | \(0.561968\pi\) | |||||||
\(998\) | −7.31263 | − | 10.0665i | −0.231477 | − | 0.318650i | ||||
\(999\) | −0.173673 | − | 1.20792i | −0.00549476 | − | 0.0382169i |
(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 | 920.2.bn.b.339.103 | yes | 1360 | |
5.4 | even | 2 | inner | 920.2.bn.b.339.34 | yes | 1360 | |
8.3 | odd | 2 | inner | 920.2.bn.b.339.67 | yes | 1360 | |
23.19 | odd | 22 | inner | 920.2.bn.b.19.70 | yes | 1360 | |
40.19 | odd | 2 | inner | 920.2.bn.b.339.70 | yes | 1360 | |
115.19 | odd | 22 | inner | 920.2.bn.b.19.67 | yes | 1360 | |
184.19 | even | 22 | inner | 920.2.bn.b.19.34 | ✓ | 1360 | |
920.19 | even | 22 | inner | 920.2.bn.b.19.103 | yes | 1360 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
920.2.bn.b.19.34 | ✓ | 1360 | 184.19 | even | 22 | inner | |
920.2.bn.b.19.67 | yes | 1360 | 115.19 | odd | 22 | inner | |
920.2.bn.b.19.70 | yes | 1360 | 23.19 | odd | 22 | inner | |
920.2.bn.b.19.103 | yes | 1360 | 920.19 | even | 22 | inner | |
920.2.bn.b.339.34 | yes | 1360 | 5.4 | even | 2 | inner | |
920.2.bn.b.339.67 | yes | 1360 | 8.3 | odd | 2 | inner | |
920.2.bn.b.339.70 | yes | 1360 | 40.19 | odd | 2 | inner | |
920.2.bn.b.339.103 | yes | 1360 | 1.1 | even | 1 | trivial |