Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(191,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.191");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.h (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 191.1 | ||
Character | \(\chi\) | \(=\) | 950.191 |
Dual form | 950.2.h.c.761.1 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.809017 | − | 0.587785i | −0.572061 | − | 0.415627i | ||||
\(3\) | −0.924522 | − | 2.84539i | −0.533773 | − | 1.64279i | −0.746285 | − | 0.665627i | \(-0.768164\pi\) |
0.212512 | − | 0.977159i | \(-0.431836\pi\) | |||||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | 2.23604 | + | 0.0110743i | 0.999988 | + | 0.00495257i | ||||
\(6\) | −0.924522 | + | 2.84539i | −0.377435 | + | 1.16162i | ||||
\(7\) | 2.08675 | 0.788717 | 0.394359 | − | 0.918957i | \(-0.370967\pi\) | ||||
0.394359 | + | 0.918957i | \(0.370967\pi\) | |||||||
\(8\) | 0.309017 | − | 0.951057i | 0.109254 | − | 0.336249i | ||||
\(9\) | −4.81444 | + | 3.49789i | −1.60481 | + | 1.16596i | ||||
\(10\) | −1.80249 | − | 1.32327i | −0.569996 | − | 0.418455i | ||||
\(11\) | 3.40048 | + | 2.47059i | 1.02528 | + | 0.744912i | 0.967359 | − | 0.253409i | \(-0.0815519\pi\) |
0.0579240 | + | 0.998321i | \(0.481552\pi\) | |||||||
\(12\) | 2.42043 | − | 1.75855i | 0.698718 | − | 0.507649i | ||||
\(13\) | −0.805251 | + | 0.585049i | −0.223336 | + | 0.162263i | −0.693827 | − | 0.720141i | \(-0.744077\pi\) |
0.470491 | + | 0.882405i | \(0.344077\pi\) | |||||||
\(14\) | −1.68822 | − | 1.22656i | −0.451195 | − | 0.327812i | ||||
\(15\) | −2.03576 | − | 6.37264i | −0.525631 | − | 1.64541i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | 1.62341 | − | 4.99634i | 0.393735 | − | 1.21179i | −0.536208 | − | 0.844086i | \(-0.680144\pi\) |
0.929943 | − | 0.367704i | \(-0.119856\pi\) | |||||||
\(18\) | 5.95097 | 1.40266 | ||||||||
\(19\) | −0.309017 | + | 0.951057i | −0.0708934 | + | 0.218187i | ||||
\(20\) | 0.680442 | + | 2.13002i | 0.152152 | + | 0.476288i | ||||
\(21\) | −1.92925 | − | 5.93761i | −0.420996 | − | 1.29569i | ||||
\(22\) | −1.29887 | − | 3.99750i | −0.276920 | − | 0.852271i | ||||
\(23\) | 2.99772 | + | 2.17797i | 0.625069 | + | 0.454139i | 0.854688 | − | 0.519141i | \(-0.173748\pi\) |
−0.229620 | + | 0.973280i | \(0.573748\pi\) | |||||||
\(24\) | −2.99182 | −0.610702 | ||||||||
\(25\) | 4.99975 | + | 0.0495251i | 0.999951 | + | 0.00990502i | ||||
\(26\) | 0.995345 | 0.195203 | ||||||||
\(27\) | 7.14262 | + | 5.18942i | 1.37460 | + | 0.998704i | ||||
\(28\) | 0.644841 | + | 1.98462i | 0.121863 | + | 0.375057i | ||||
\(29\) | 0.246649 | + | 0.759108i | 0.0458016 | + | 0.140963i | 0.971342 | − | 0.237686i | \(-0.0763889\pi\) |
−0.925540 | + | 0.378649i | \(0.876389\pi\) | |||||||
\(30\) | −2.09878 | + | 6.35216i | −0.383183 | + | 1.15974i | ||||
\(31\) | 2.42602 | − | 7.46654i | 0.435727 | − | 1.34103i | −0.456613 | − | 0.889665i | \(-0.650938\pi\) |
0.892340 | − | 0.451364i | \(-0.149062\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 3.88597 | − | 11.9598i | 0.676461 | − | 2.08193i | ||||
\(34\) | −4.25014 | + | 3.08791i | −0.728893 | + | 0.529572i | ||||
\(35\) | 4.66606 | + | 0.0231093i | 0.788707 | + | 0.00390618i | ||||
\(36\) | −4.81444 | − | 3.49789i | −0.802406 | − | 0.582982i | ||||
\(37\) | 7.69357 | − | 5.58971i | 1.26482 | − | 0.918942i | 0.265832 | − | 0.964019i | \(-0.414353\pi\) |
0.998983 | + | 0.0450774i | \(0.0143535\pi\) | |||||||
\(38\) | 0.809017 | − | 0.587785i | 0.131240 | − | 0.0953514i | ||||
\(39\) | 2.40916 | + | 1.75036i | 0.385775 | + | 0.280282i | ||||
\(40\) | 0.701507 | − | 2.12318i | 0.110918 | − | 0.335704i | ||||
\(41\) | 0.680121 | − | 0.494137i | 0.106217 | − | 0.0771712i | −0.533409 | − | 0.845858i | \(-0.679089\pi\) |
0.639626 | + | 0.768686i | \(0.279089\pi\) | |||||||
\(42\) | −1.92925 | + | 5.93761i | −0.297689 | + | 0.916193i | ||||
\(43\) | 0.529114 | 0.0806891 | 0.0403445 | − | 0.999186i | \(-0.487154\pi\) | ||||
0.0403445 | + | 0.999186i | \(0.487154\pi\) | |||||||
\(44\) | −1.29887 | + | 3.99750i | −0.195812 | + | 0.602646i | ||||
\(45\) | −10.8040 | + | 7.76811i | −1.61057 | + | 1.15800i | ||||
\(46\) | −1.14503 | − | 3.52404i | −0.168825 | − | 0.519591i | ||||
\(47\) | 1.35049 | + | 4.15638i | 0.196989 | + | 0.606270i | 0.999948 | + | 0.0102350i | \(0.00325795\pi\) |
−0.802959 | + | 0.596035i | \(0.796742\pi\) | |||||||
\(48\) | 2.42043 | + | 1.75855i | 0.349359 | + | 0.253824i | ||||
\(49\) | −2.64548 | −0.377925 | ||||||||
\(50\) | −4.01578 | − | 2.97885i | −0.567917 | − | 0.421273i | ||||
\(51\) | −15.7174 | −2.20088 | ||||||||
\(52\) | −0.805251 | − | 0.585049i | −0.111668 | − | 0.0811317i | ||||
\(53\) | −2.04889 | − | 6.30583i | −0.281436 | − | 0.866172i | −0.987444 | − | 0.157968i | \(-0.949506\pi\) |
0.706008 | − | 0.708204i | \(-0.250494\pi\) | |||||||
\(54\) | −2.72824 | − | 8.39665i | −0.371266 | − | 1.14264i | ||||
\(55\) | 7.57625 | + | 5.56200i | 1.02158 | + | 0.749980i | ||||
\(56\) | 0.644841 | − | 1.98462i | 0.0861705 | − | 0.265206i | ||||
\(57\) | 2.99182 | 0.396276 | ||||||||
\(58\) | 0.246649 | − | 0.759108i | 0.0323866 | − | 0.0996757i | ||||
\(59\) | −11.0874 | + | 8.05546i | −1.44346 | + | 1.04873i | −0.456150 | + | 0.889903i | \(0.650772\pi\) |
−0.987306 | + | 0.158829i | \(0.949228\pi\) | |||||||
\(60\) | 5.43166 | − | 3.90538i | 0.701224 | − | 0.504182i | ||||
\(61\) | 0.874043 | + | 0.635029i | 0.111910 | + | 0.0813072i | 0.642333 | − | 0.766426i | \(-0.277967\pi\) |
−0.530423 | + | 0.847733i | \(0.677967\pi\) | |||||||
\(62\) | −6.35141 | + | 4.61457i | −0.806630 | + | 0.586051i | ||||
\(63\) | −10.0465 | + | 7.29923i | −1.26574 | + | 0.919616i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | −1.80705 | + | 1.29928i | −0.224137 | + | 0.161155i | ||||
\(66\) | −10.1736 | + | 7.39156i | −1.25229 | + | 0.909839i | ||||
\(67\) | −2.37234 | + | 7.30132i | −0.289828 | + | 0.891998i | 0.695082 | + | 0.718930i | \(0.255368\pi\) |
−0.984910 | + | 0.173068i | \(0.944632\pi\) | |||||||
\(68\) | 5.25346 | 0.637076 | ||||||||
\(69\) | 3.42572 | − | 10.5433i | 0.412408 | − | 1.26926i | ||||
\(70\) | −3.76134 | − | 2.76133i | −0.449566 | − | 0.330043i | ||||
\(71\) | −1.68828 | − | 5.19600i | −0.200362 | − | 0.616652i | −0.999872 | − | 0.0159988i | \(-0.994907\pi\) |
0.799510 | − | 0.600653i | \(-0.205093\pi\) | |||||||
\(72\) | 1.83895 | + | 5.65971i | 0.216722 | + | 0.667003i | ||||
\(73\) | −7.09071 | − | 5.15171i | −0.829905 | − | 0.602962i | 0.0896272 | − | 0.995975i | \(-0.471432\pi\) |
−0.919533 | + | 0.393014i | \(0.871432\pi\) | |||||||
\(74\) | −9.50978 | −1.10549 | ||||||||
\(75\) | −4.48147 | − | 14.2720i | −0.517475 | − | 1.64799i | ||||
\(76\) | −1.00000 | −0.114708 | ||||||||
\(77\) | 7.09595 | + | 5.15551i | 0.808658 | + | 0.587525i | ||||
\(78\) | −0.920219 | − | 2.83214i | −0.104194 | − | 0.320677i | ||||
\(79\) | 2.07189 | + | 6.37661i | 0.233105 | + | 0.717425i | 0.997367 | + | 0.0725183i | \(0.0231036\pi\) |
−0.764262 | + | 0.644906i | \(0.776896\pi\) | |||||||
\(80\) | −1.81550 | + | 1.30535i | −0.202980 | + | 0.145943i | ||||
\(81\) | 2.64554 | − | 8.14212i | 0.293949 | − | 0.904680i | ||||
\(82\) | −0.840676 | −0.0928371 | ||||||||
\(83\) | 3.75139 | − | 11.5456i | 0.411769 | − | 1.26729i | −0.503340 | − | 0.864088i | \(-0.667896\pi\) |
0.915109 | − | 0.403206i | \(-0.132104\pi\) | |||||||
\(84\) | 5.05083 | − | 3.66964i | 0.551091 | − | 0.400391i | ||||
\(85\) | 3.68534 | − | 11.1540i | 0.399731 | − | 1.20983i | ||||
\(86\) | −0.428062 | − | 0.311005i | −0.0461591 | − | 0.0335366i | ||||
\(87\) | 1.93192 | − | 1.40362i | 0.207124 | − | 0.150484i | ||||
\(88\) | 3.40048 | − | 2.47059i | 0.362492 | − | 0.263366i | ||||
\(89\) | −2.61534 | − | 1.90015i | −0.277225 | − | 0.201416i | 0.440481 | − | 0.897762i | \(-0.354808\pi\) |
−0.717706 | + | 0.696346i | \(0.754808\pi\) | |||||||
\(90\) | 13.3066 | + | 0.0659027i | 1.40264 | + | 0.00694676i | ||||
\(91\) | −1.68036 | + | 1.22085i | −0.176149 | + | 0.127980i | ||||
\(92\) | −1.14503 | + | 3.52404i | −0.119378 | + | 0.367406i | ||||
\(93\) | −23.4881 | −2.43560 | ||||||||
\(94\) | 1.35049 | − | 4.15638i | 0.139292 | − | 0.428697i | ||||
\(95\) | −0.701507 | + | 2.12318i | −0.0719731 | + | 0.217834i | ||||
\(96\) | −0.924522 | − | 2.84539i | −0.0943587 | − | 0.290406i | ||||
\(97\) | 0.0530789 | + | 0.163360i | 0.00538935 | + | 0.0165867i | 0.953715 | − | 0.300712i | \(-0.0972243\pi\) |
−0.948326 | + | 0.317299i | \(0.897224\pi\) | |||||||
\(98\) | 2.14024 | + | 1.55497i | 0.216196 | + | 0.157076i | ||||
\(99\) | −25.0133 | −2.51393 | ||||||||
\(100\) | 1.49791 | + | 4.77035i | 0.149791 | + | 0.477035i | ||||
\(101\) | −0.389124 | −0.0387192 | −0.0193596 | − | 0.999813i | \(-0.506163\pi\) | ||||
−0.0193596 | + | 0.999813i | \(0.506163\pi\) | |||||||
\(102\) | 12.7156 | + | 9.23845i | 1.25904 | + | 0.914743i | ||||
\(103\) | 6.18284 | + | 19.0288i | 0.609213 | + | 1.87496i | 0.464717 | + | 0.885459i | \(0.346156\pi\) |
0.144496 | + | 0.989505i | \(0.453844\pi\) | |||||||
\(104\) | 0.307578 | + | 0.946629i | 0.0301606 | + | 0.0928246i | ||||
\(105\) | −4.24812 | − | 13.2981i | −0.414574 | − | 1.29776i | ||||
\(106\) | −2.04889 | + | 6.30583i | −0.199006 | + | 0.612476i | ||||
\(107\) | −13.7456 | −1.32883 | −0.664417 | − | 0.747362i | \(-0.731320\pi\) | ||||
−0.664417 | + | 0.747362i | \(0.731320\pi\) | |||||||
\(108\) | −2.72824 | + | 8.39665i | −0.262525 | + | 0.807968i | ||||
\(109\) | 12.3667 | − | 8.98496i | 1.18452 | − | 0.860603i | 0.191844 | − | 0.981425i | \(-0.438553\pi\) |
0.992674 | + | 0.120822i | \(0.0385531\pi\) | |||||||
\(110\) | −2.86005 | − | 8.95296i | −0.272695 | − | 0.853632i | ||||
\(111\) | −23.0178 | − | 16.7234i | −2.18475 | − | 1.58731i | ||||
\(112\) | −1.68822 | + | 1.22656i | −0.159521 | + | 0.115899i | ||||
\(113\) | −15.5633 | + | 11.3074i | −1.46407 | + | 1.06371i | −0.481791 | + | 0.876286i | \(0.660014\pi\) |
−0.982279 | + | 0.187424i | \(0.939986\pi\) | |||||||
\(114\) | −2.42043 | − | 1.75855i | −0.226694 | − | 0.164703i | ||||
\(115\) | 6.67892 | + | 4.90324i | 0.622812 | + | 0.457229i | ||||
\(116\) | −0.645736 | + | 0.469154i | −0.0599550 | + | 0.0435599i | ||||
\(117\) | 1.83039 | − | 5.63336i | 0.169220 | − | 0.520805i | ||||
\(118\) | 13.7048 | 1.26163 | ||||||||
\(119\) | 3.38765 | − | 10.4261i | 0.310545 | − | 0.955760i | ||||
\(120\) | −6.68982 | − | 0.0331322i | −0.610695 | − | 0.00302454i | ||||
\(121\) | 2.06024 | + | 6.34078i | 0.187295 | + | 0.576435i | ||||
\(122\) | −0.333855 | − | 1.02750i | −0.0302258 | − | 0.0930254i | ||||
\(123\) | −2.03480 | − | 1.47837i | −0.183472 | − | 0.133300i | ||||
\(124\) | 7.85078 | 0.705021 | ||||||||
\(125\) | 11.1791 | + | 0.166109i | 0.999890 | + | 0.0148572i | ||||
\(126\) | 12.4182 | 1.10630 | ||||||||
\(127\) | −16.2722 | − | 11.8225i | −1.44393 | − | 1.04907i | −0.987203 | − | 0.159466i | \(-0.949023\pi\) |
−0.456724 | − | 0.889609i | \(-0.650977\pi\) | |||||||
\(128\) | 0.309017 | + | 0.951057i | 0.0273135 | + | 0.0840623i | ||||
\(129\) | −0.489178 | − | 1.50553i | −0.0430697 | − | 0.132555i | ||||
\(130\) | 2.22563 | + | 0.0110227i | 0.195201 | + | 0.000966757i | ||||
\(131\) | −2.17865 | + | 6.70519i | −0.190349 | + | 0.585835i | −0.999999 | − | 0.00107767i | \(-0.999657\pi\) |
0.809650 | + | 0.586913i | \(0.199657\pi\) | |||||||
\(132\) | 12.5753 | 1.09454 | ||||||||
\(133\) | −0.644841 | + | 1.98462i | −0.0559148 | + | 0.172088i | ||||
\(134\) | 6.21087 | − | 4.51246i | 0.536538 | − | 0.389817i | ||||
\(135\) | 15.9137 | + | 11.6828i | 1.36963 | + | 1.00550i | ||||
\(136\) | −4.25014 | − | 3.08791i | −0.364446 | − | 0.264786i | ||||
\(137\) | 14.5514 | − | 10.5722i | 1.24321 | − | 0.903247i | 0.245405 | − | 0.969421i | \(-0.421079\pi\) |
0.997808 | + | 0.0661734i | \(0.0210791\pi\) | |||||||
\(138\) | −8.96865 | + | 6.51610i | −0.763462 | + | 0.554687i | ||||
\(139\) | 9.99517 | + | 7.26192i | 0.847780 | + | 0.615948i | 0.924533 | − | 0.381102i | \(-0.124455\pi\) |
−0.0767534 | + | 0.997050i | \(0.524455\pi\) | |||||||
\(140\) | 1.41991 | + | 4.44482i | 0.120005 | + | 0.375656i | ||||
\(141\) | 10.5779 | − | 7.68532i | 0.890823 | − | 0.647221i | ||||
\(142\) | −1.68828 | + | 5.19600i | −0.141678 | + | 0.436039i | ||||
\(143\) | −4.18366 | −0.349855 | ||||||||
\(144\) | 1.83895 | − | 5.65971i | 0.153246 | − | 0.471642i | ||||
\(145\) | 0.543111 | + | 1.70013i | 0.0451029 | + | 0.141188i | ||||
\(146\) | 2.70841 | + | 8.33564i | 0.224150 | + | 0.689862i | ||||
\(147\) | 2.44580 | + | 7.52741i | 0.201726 | + | 0.620850i | ||||
\(148\) | 7.69357 | + | 5.58971i | 0.632408 | + | 0.459471i | ||||
\(149\) | −11.8384 | −0.969837 | −0.484919 | − | 0.874559i | \(-0.661151\pi\) | ||||
−0.484919 | + | 0.874559i | \(0.661151\pi\) | |||||||
\(150\) | −4.76330 | + | 14.1805i | −0.388922 | + | 1.15783i | ||||
\(151\) | 10.2470 | 0.833888 | 0.416944 | − | 0.908932i | \(-0.363101\pi\) | ||||
0.416944 | + | 0.908932i | \(0.363101\pi\) | |||||||
\(152\) | 0.809017 | + | 0.587785i | 0.0656199 | + | 0.0476757i | ||||
\(153\) | 9.66086 | + | 29.7331i | 0.781034 | + | 2.40378i | ||||
\(154\) | −2.71041 | − | 8.34179i | −0.218411 | − | 0.672200i | ||||
\(155\) | 5.50738 | − | 16.6686i | 0.442363 | − | 1.33885i | ||||
\(156\) | −0.920219 | + | 2.83214i | −0.0736765 | + | 0.226753i | ||||
\(157\) | 6.55806 | 0.523390 | 0.261695 | − | 0.965151i | \(-0.415718\pi\) | ||||
0.261695 | + | 0.965151i | \(0.415718\pi\) | |||||||
\(158\) | 2.07189 | − | 6.37661i | 0.164830 | − | 0.507296i | ||||
\(159\) | −16.0483 | + | 11.6598i | −1.27271 | + | 0.924679i | ||||
\(160\) | 2.23604 | + | 0.0110743i | 0.176775 | + | 0.000875499i | ||||
\(161\) | 6.25550 | + | 4.54489i | 0.493003 | + | 0.358187i | ||||
\(162\) | −6.92610 | + | 5.03211i | −0.544166 | + | 0.395360i | ||||
\(163\) | −4.21154 | + | 3.05986i | −0.329873 | + | 0.239667i | −0.740377 | − | 0.672192i | \(-0.765353\pi\) |
0.410504 | + | 0.911859i | \(0.365353\pi\) | |||||||
\(164\) | 0.680121 | + | 0.494137i | 0.0531085 | + | 0.0385856i | ||||
\(165\) | 8.82164 | − | 26.6996i | 0.686764 | − | 2.07856i | ||||
\(166\) | −9.82127 | + | 7.13557i | −0.762279 | + | 0.553828i | ||||
\(167\) | −1.20571 | + | 3.71080i | −0.0933008 | + | 0.287150i | −0.986807 | − | 0.161900i | \(-0.948238\pi\) |
0.893506 | + | 0.449051i | \(0.148238\pi\) | |||||||
\(168\) | −6.24317 | −0.481671 | ||||||||
\(169\) | −3.71107 | + | 11.4215i | −0.285467 | + | 0.878578i | ||||
\(170\) | −9.53768 | + | 6.85762i | −0.731507 | + | 0.525955i | ||||
\(171\) | −1.83895 | − | 5.65971i | −0.140628 | − | 0.432809i | ||||
\(172\) | 0.163505 | + | 0.503217i | 0.0124672 | + | 0.0383699i | ||||
\(173\) | 11.1450 | + | 8.09732i | 0.847339 | + | 0.615628i | 0.924411 | − | 0.381398i | \(-0.124557\pi\) |
−0.0770719 | + | 0.997026i | \(0.524557\pi\) | |||||||
\(174\) | −2.38799 | −0.181033 | ||||||||
\(175\) | 10.4332 | + | 0.103346i | 0.788678 | + | 0.00781226i | ||||
\(176\) | −4.20322 | −0.316830 | ||||||||
\(177\) | 33.1715 | + | 24.1005i | 2.49332 | + | 1.81150i | ||||
\(178\) | 0.998969 | + | 3.07451i | 0.0748759 | + | 0.230444i | ||||
\(179\) | −0.798641 | − | 2.45796i | −0.0596932 | − | 0.183717i | 0.916763 | − | 0.399431i | \(-0.130792\pi\) |
−0.976457 | + | 0.215714i | \(0.930792\pi\) | |||||||
\(180\) | −10.7265 | − | 7.87475i | −0.799509 | − | 0.586949i | ||||
\(181\) | 7.04405 | − | 21.6794i | 0.523580 | − | 1.61141i | −0.243527 | − | 0.969894i | \(-0.578304\pi\) |
0.767107 | − | 0.641519i | \(-0.221696\pi\) | |||||||
\(182\) | 2.07704 | 0.153960 | ||||||||
\(183\) | 0.998832 | − | 3.07409i | 0.0738358 | − | 0.227243i | ||||
\(184\) | 2.99772 | − | 2.17797i | 0.220995 | − | 0.160562i | ||||
\(185\) | 17.2650 | − | 12.4136i | 1.26935 | − | 0.912667i | ||||
\(186\) | 19.0023 | + | 13.8060i | 1.39331 | + | 1.01230i | ||||
\(187\) | 17.8643 | − | 12.9792i | 1.30637 | − | 0.949131i | ||||
\(188\) | −3.53562 | + | 2.56878i | −0.257862 | + | 0.187348i | ||||
\(189\) | 14.9049 | + | 10.8290i | 1.08417 | + | 0.787695i | ||||
\(190\) | 1.81550 | − | 1.30535i | 0.131711 | − | 0.0947002i | ||||
\(191\) | −19.2953 | + | 14.0189i | −1.39616 | + | 1.01437i | −0.401002 | + | 0.916077i | \(0.631338\pi\) |
−0.995158 | + | 0.0982922i | \(0.968662\pi\) | |||||||
\(192\) | −0.924522 | + | 2.84539i | −0.0667217 | + | 0.205348i | ||||
\(193\) | 14.8345 | 1.06781 | 0.533906 | − | 0.845544i | \(-0.320724\pi\) | ||||
0.533906 | + | 0.845544i | \(0.320724\pi\) | |||||||
\(194\) | 0.0530789 | − | 0.163360i | 0.00381085 | − | 0.0117286i | ||||
\(195\) | 5.36760 | + | 3.94056i | 0.384382 | + | 0.282189i | ||||
\(196\) | −0.817497 | − | 2.51600i | −0.0583927 | − | 0.179714i | ||||
\(197\) | 3.12502 | + | 9.61782i | 0.222649 | + | 0.685242i | 0.998522 | + | 0.0543529i | \(0.0173096\pi\) |
−0.775873 | + | 0.630889i | \(0.782690\pi\) | |||||||
\(198\) | 20.2362 | + | 14.7024i | 1.43812 | + | 1.04486i | ||||
\(199\) | −8.31583 | −0.589493 | −0.294747 | − | 0.955575i | \(-0.595235\pi\) | ||||
−0.294747 | + | 0.955575i | \(0.595235\pi\) | |||||||
\(200\) | 1.59211 | − | 4.73975i | 0.112579 | − | 0.335151i | ||||
\(201\) | 22.9684 | 1.62006 | ||||||||
\(202\) | 0.314808 | + | 0.228721i | 0.0221498 | + | 0.0160928i | ||||
\(203\) | 0.514695 | + | 1.58407i | 0.0361245 | + | 0.111180i | ||||
\(204\) | −4.85694 | − | 14.9481i | −0.340054 | − | 1.04658i | ||||
\(205\) | 1.52625 | − | 1.09738i | 0.106598 | − | 0.0766442i | ||||
\(206\) | 6.18284 | − | 19.0288i | 0.430779 | − | 1.32580i | ||||
\(207\) | −22.0507 | −1.53263 | ||||||||
\(208\) | 0.307578 | − | 0.946629i | 0.0213267 | − | 0.0656369i | ||||
\(209\) | −3.40048 | + | 2.47059i | −0.235216 | + | 0.170894i | ||||
\(210\) | −4.37963 | + | 13.2554i | −0.302223 | + | 0.914708i | ||||
\(211\) | 17.8782 | + | 12.9893i | 1.23079 | + | 0.894219i | 0.996949 | − | 0.0780562i | \(-0.0248713\pi\) |
0.233838 | + | 0.972275i | \(0.424871\pi\) | |||||||
\(212\) | 5.36406 | − | 3.89722i | 0.368405 | − | 0.267662i | ||||
\(213\) | −13.2238 | + | 9.60764i | −0.906079 | + | 0.658305i | ||||
\(214\) | 11.1204 | + | 8.07944i | 0.760174 | + | 0.552299i | ||||
\(215\) | 1.18312 | + | 0.00585956i | 0.0806881 | + | 0.000399618i | ||||
\(216\) | 7.14262 | − | 5.18942i | 0.485994 | − | 0.353095i | ||||
\(217\) | 5.06251 | − | 15.5808i | 0.343665 | − | 1.05769i | ||||
\(218\) | −15.2861 | −1.03531 | ||||||||
\(219\) | −8.10307 | + | 24.9387i | −0.547555 | + | 1.68520i | ||||
\(220\) | −2.94859 | + | 8.92420i | −0.198794 | + | 0.601669i | ||||
\(221\) | 1.61585 | + | 4.97308i | 0.108694 | + | 0.334526i | ||||
\(222\) | 8.79200 | + | 27.0590i | 0.590080 | + | 1.81608i | ||||
\(223\) | −3.95853 | − | 2.87604i | −0.265083 | − | 0.192594i | 0.447302 | − | 0.894383i | \(-0.352385\pi\) |
−0.712385 | + | 0.701789i | \(0.752385\pi\) | |||||||
\(224\) | 2.08675 | 0.139427 | ||||||||
\(225\) | −24.2442 | + | 17.2502i | −1.61628 | + | 1.15001i | ||||
\(226\) | 19.2373 | 1.27964 | ||||||||
\(227\) | −8.61341 | − | 6.25801i | −0.571692 | − | 0.415359i | 0.264027 | − | 0.964515i | \(-0.414949\pi\) |
−0.835720 | + | 0.549156i | \(0.814949\pi\) | |||||||
\(228\) | 0.924522 | + | 2.84539i | 0.0612280 | + | 0.188440i | ||||
\(229\) | −2.23092 | − | 6.86606i | −0.147423 | − | 0.453722i | 0.849891 | − | 0.526958i | \(-0.176667\pi\) |
−0.997315 | + | 0.0732358i | \(0.976667\pi\) | |||||||
\(230\) | −2.52131 | − | 7.89257i | −0.166250 | − | 0.520421i | ||||
\(231\) | 8.10906 | − | 24.9571i | 0.533537 | − | 1.64206i | ||||
\(232\) | 0.798173 | 0.0524026 | ||||||||
\(233\) | 2.32535 | − | 7.15668i | 0.152338 | − | 0.468850i | −0.845543 | − | 0.533907i | \(-0.820723\pi\) |
0.997882 | + | 0.0650577i | \(0.0207231\pi\) | |||||||
\(234\) | −4.79202 | + | 3.48161i | −0.313264 | + | 0.227600i | ||||
\(235\) | 2.97372 | + | 9.30878i | 0.193984 | + | 0.607238i | ||||
\(236\) | −11.0874 | − | 8.05546i | −0.721728 | − | 0.524366i | ||||
\(237\) | 16.2284 | − | 11.7906i | 1.05415 | − | 0.765884i | ||||
\(238\) | −8.86898 | + | 6.44369i | −0.574890 | + | 0.417682i | ||||
\(239\) | −20.4315 | − | 14.8443i | −1.32160 | − | 0.960199i | −0.999911 | − | 0.0133546i | \(-0.995749\pi\) |
−0.321690 | − | 0.946845i | \(-0.604251\pi\) | |||||||
\(240\) | 5.39271 | + | 3.95898i | 0.348098 | + | 0.255551i | ||||
\(241\) | 12.8572 | − | 9.34127i | 0.828202 | − | 0.601724i | −0.0908478 | − | 0.995865i | \(-0.528958\pi\) |
0.919050 | + | 0.394141i | \(0.128958\pi\) | |||||||
\(242\) | 2.06024 | − | 6.34078i | 0.132438 | − | 0.407601i | ||||
\(243\) | 0.872936 | 0.0559989 | ||||||||
\(244\) | −0.333855 | + | 1.02750i | −0.0213729 | + | 0.0657789i | ||||
\(245\) | −5.91539 | − | 0.0292968i | −0.377921 | − | 0.00187170i | ||||
\(246\) | 0.777224 | + | 2.39205i | 0.0495540 | + | 0.152511i | ||||
\(247\) | −0.307578 | − | 0.946629i | −0.0195708 | − | 0.0602326i | ||||
\(248\) | −6.35141 | − | 4.61457i | −0.403315 | − | 0.293026i | ||||
\(249\) | −36.3200 | −2.30168 | ||||||||
\(250\) | −8.94645 | − | 6.70530i | −0.565823 | − | 0.424080i | ||||
\(251\) | 7.75902 | 0.489745 | 0.244873 | − | 0.969555i | \(-0.421254\pi\) | ||||
0.244873 | + | 0.969555i | \(0.421254\pi\) | |||||||
\(252\) | −10.0465 | − | 7.29923i | −0.632871 | − | 0.459808i | ||||
\(253\) | 4.81281 | + | 14.8123i | 0.302579 | + | 0.931242i | ||||
\(254\) | 6.21544 | + | 19.1292i | 0.389991 | + | 1.20027i | ||||
\(255\) | −35.1447 | − | 0.174059i | −2.20085 | − | 0.0109000i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | −20.7066 | −1.29165 | −0.645823 | − | 0.763487i | \(-0.723485\pi\) | ||||
−0.645823 | + | 0.763487i | \(0.723485\pi\) | |||||||
\(258\) | −0.489178 | + | 1.50553i | −0.0304549 | + | 0.0937304i | ||||
\(259\) | 16.0546 | − | 11.6643i | 0.997581 | − | 0.724785i | ||||
\(260\) | −1.79409 | − | 1.31711i | −0.111265 | − | 0.0816838i | ||||
\(261\) | −3.84275 | − | 2.79192i | −0.237860 | − | 0.172816i | ||||
\(262\) | 5.70378 | − | 4.14404i | 0.352381 | − | 0.256019i | ||||
\(263\) | −10.8793 | + | 7.90427i | −0.670846 | + | 0.487398i | −0.870308 | − | 0.492507i | \(-0.836080\pi\) |
0.199462 | + | 0.979905i | \(0.436080\pi\) | |||||||
\(264\) | −10.1736 | − | 7.39156i | −0.626143 | − | 0.454919i | ||||
\(265\) | −4.51156 | − | 14.1228i | −0.277143 | − | 0.867555i | ||||
\(266\) | 1.68822 | − | 1.22656i | 0.103511 | − | 0.0752053i | ||||
\(267\) | −2.98873 | + | 9.19838i | −0.182908 | + | 0.562931i | ||||
\(268\) | −7.67706 | −0.468951 | ||||||||
\(269\) | −2.00324 | + | 6.16535i | −0.122140 | + | 0.375908i | −0.993369 | − | 0.114968i | \(-0.963323\pi\) |
0.871229 | + | 0.490876i | \(0.163323\pi\) | |||||||
\(270\) | −6.00746 | − | 18.8055i | −0.365603 | − | 1.14446i | ||||
\(271\) | 3.33052 | + | 10.2503i | 0.202315 | + | 0.622660i | 0.999813 | + | 0.0193393i | \(0.00615626\pi\) |
−0.797498 | + | 0.603321i | \(0.793844\pi\) | |||||||
\(272\) | 1.62341 | + | 4.99634i | 0.0984336 | + | 0.302948i | ||||
\(273\) | 5.02732 | + | 3.65256i | 0.304267 | + | 0.221063i | ||||
\(274\) | −17.9866 | −1.08661 | ||||||||
\(275\) | 16.8792 | + | 12.5208i | 1.01785 | + | 0.755031i | ||||
\(276\) | 11.0859 | 0.667290 | ||||||||
\(277\) | 1.25330 | + | 0.910575i | 0.0753035 | + | 0.0547112i | 0.624800 | − | 0.780785i | \(-0.285180\pi\) |
−0.549497 | + | 0.835496i | \(0.685180\pi\) | |||||||
\(278\) | −3.81782 | − | 11.7500i | −0.228977 | − | 0.704720i | ||||
\(279\) | 14.4372 | + | 44.4331i | 0.864333 | + | 2.66014i | ||||
\(280\) | 1.46387 | − | 4.43054i | 0.0874829 | − | 0.264776i | ||||
\(281\) | −6.78358 | + | 20.8777i | −0.404674 | + | 1.24546i | 0.516492 | + | 0.856292i | \(0.327237\pi\) |
−0.921167 | + | 0.389168i | \(0.872763\pi\) | |||||||
\(282\) | −13.0751 | −0.778608 | ||||||||
\(283\) | 4.74024 | − | 14.5890i | 0.281778 | − | 0.867224i | −0.705568 | − | 0.708643i | \(-0.749308\pi\) |
0.987346 | − | 0.158582i | \(-0.0506921\pi\) | |||||||
\(284\) | 4.41998 | − | 3.21131i | 0.262278 | − | 0.190556i | ||||
\(285\) | 6.68982 | + | 0.0331322i | 0.396271 | + | 0.00196258i | ||||
\(286\) | 3.38465 | + | 2.45909i | 0.200139 | + | 0.145409i | ||||
\(287\) | 1.41924 | − | 1.03114i | 0.0837752 | − | 0.0608663i | ||||
\(288\) | −4.81444 | + | 3.49789i | −0.283693 | + | 0.206115i | ||||
\(289\) | −8.57466 | − | 6.22985i | −0.504392 | − | 0.366462i | ||||
\(290\) | 0.559924 | − | 1.69466i | 0.0328799 | − | 0.0995141i | ||||
\(291\) | 0.415750 | − | 0.302060i | 0.0243717 | − | 0.0177071i | ||||
\(292\) | 2.70841 | − | 8.33564i | 0.158498 | − | 0.487806i | ||||
\(293\) | −16.8816 | −0.986232 | −0.493116 | − | 0.869964i | \(-0.664142\pi\) | ||||
−0.493116 | + | 0.869964i | \(0.664142\pi\) | |||||||
\(294\) | 2.44580 | − | 7.52741i | 0.142642 | − | 0.439007i | ||||
\(295\) | −24.8811 | + | 17.8896i | −1.44863 | + | 1.04157i | ||||
\(296\) | −2.93868 | − | 9.04433i | −0.170807 | − | 0.525691i | ||||
\(297\) | 11.4674 | + | 35.2930i | 0.665406 | + | 2.04791i | ||||
\(298\) | 9.57744 | + | 6.95842i | 0.554806 | + | 0.403090i | ||||
\(299\) | −3.68814 | −0.213291 | ||||||||
\(300\) | 12.1887 | − | 8.67243i | 0.703712 | − | 0.500703i | ||||
\(301\) | 1.10413 | 0.0636409 | ||||||||
\(302\) | −8.28999 | − | 6.02303i | −0.477035 | − | 0.346586i | ||||
\(303\) | 0.359753 | + | 1.10721i | 0.0206673 | + | 0.0636074i | ||||
\(304\) | −0.309017 | − | 0.951057i | −0.0177233 | − | 0.0545468i | ||||
\(305\) | 1.94736 | + | 1.42963i | 0.111506 | + | 0.0818604i | ||||
\(306\) | 9.66086 | − | 29.7331i | 0.552275 | − | 1.69973i | ||||
\(307\) | 30.2958 | 1.72907 | 0.864537 | − | 0.502568i | \(-0.167611\pi\) | ||||
0.864537 | + | 0.502568i | \(0.167611\pi\) | |||||||
\(308\) | −2.71041 | + | 8.34179i | −0.154440 | + | 0.475317i | ||||
\(309\) | 48.4282 | − | 35.1851i | 2.75498 | − | 2.00161i | ||||
\(310\) | −14.2531 | + | 10.2480i | −0.809523 | + | 0.582049i | ||||
\(311\) | 20.0949 | + | 14.5998i | 1.13948 | + | 0.827880i | 0.987047 | − | 0.160434i | \(-0.0512894\pi\) |
0.152432 | + | 0.988314i | \(0.451289\pi\) | |||||||
\(312\) | 2.40916 | − | 1.75036i | 0.136392 | − | 0.0990946i | ||||
\(313\) | −11.3193 | + | 8.22397i | −0.639806 | + | 0.464846i | −0.859784 | − | 0.510658i | \(-0.829402\pi\) |
0.219977 | + | 0.975505i | \(0.429402\pi\) | |||||||
\(314\) | −5.30558 | − | 3.85473i | −0.299411 | − | 0.217535i | ||||
\(315\) | −22.5453 | + | 16.2101i | −1.27028 | + | 0.913336i | ||||
\(316\) | −5.42427 | + | 3.94096i | −0.305139 | + | 0.221696i | ||||
\(317\) | 5.01006 | − | 15.4194i | 0.281393 | − | 0.866038i | −0.706064 | − | 0.708148i | \(-0.749531\pi\) |
0.987457 | − | 0.157890i | \(-0.0504692\pi\) | |||||||
\(318\) | 19.8368 | 1.11239 | ||||||||
\(319\) | −1.03672 | + | 3.19070i | −0.0580452 | + | 0.178645i | ||||
\(320\) | −1.80249 | − | 1.32327i | −0.100762 | − | 0.0739731i | ||||
\(321\) | 12.7081 | + | 39.1114i | 0.709296 | + | 2.18299i | ||||
\(322\) | −2.38939 | − | 7.35378i | −0.133155 | − | 0.409810i | ||||
\(323\) | 4.25014 | + | 3.08791i | 0.236484 | + | 0.171816i | ||||
\(324\) | 8.56114 | 0.475619 | ||||||||
\(325\) | −4.05503 | + | 2.88522i | −0.224933 | + | 0.160043i | ||||
\(326\) | 5.20575 | 0.288320 | ||||||||
\(327\) | −36.9990 | − | 26.8814i | −2.04605 | − | 1.48654i | ||||
\(328\) | −0.259783 | − | 0.799530i | −0.0143441 | − | 0.0441467i | ||||
\(329\) | 2.81813 | + | 8.67331i | 0.155369 | + | 0.478175i | ||||
\(330\) | −22.8305 | + | 16.4152i | −1.25678 | + | 0.903625i | ||||
\(331\) | −8.53872 | + | 26.2795i | −0.469330 | + | 1.44445i | 0.384123 | + | 0.923282i | \(0.374504\pi\) |
−0.853454 | + | 0.521169i | \(0.825496\pi\) | |||||||
\(332\) | 12.1398 | 0.666256 | ||||||||
\(333\) | −17.4880 | + | 53.8226i | −0.958337 | + | 2.94946i | ||||
\(334\) | 3.15659 | − | 2.29340i | 0.172721 | − | 0.125489i | ||||
\(335\) | −5.38551 | + | 16.2998i | −0.294242 | + | 0.890552i | ||||
\(336\) | 5.05083 | + | 3.66964i | 0.275546 | + | 0.200196i | ||||
\(337\) | 1.51536 | − | 1.10097i | 0.0825470 | − | 0.0599739i | −0.545746 | − | 0.837950i | \(-0.683754\pi\) |
0.628293 | + | 0.777977i | \(0.283754\pi\) | |||||||
\(338\) | 9.71572 | − | 7.05888i | 0.528465 | − | 0.383953i | ||||
\(339\) | 46.5625 | + | 33.8296i | 2.52893 | + | 1.83737i | ||||
\(340\) | 11.7470 | + | 0.0581783i | 0.637068 | + | 0.00315516i | ||||
\(341\) | 26.6964 | − | 19.3961i | 1.44569 | − | 1.05036i | ||||
\(342\) | −1.83895 | + | 5.65971i | −0.0994391 | + | 0.306042i | ||||
\(343\) | −20.1277 | −1.08679 | ||||||||
\(344\) | 0.163505 | − | 0.503217i | 0.00881561 | − | 0.0271316i | ||||
\(345\) | 7.77680 | − | 23.5373i | 0.418689 | − | 1.26720i | ||||
\(346\) | −4.25701 | − | 13.1017i | −0.228858 | − | 0.704354i | ||||
\(347\) | −1.76375 | − | 5.42828i | −0.0946833 | − | 0.291405i | 0.892488 | − | 0.451072i | \(-0.148958\pi\) |
−0.987171 | + | 0.159667i | \(0.948958\pi\) | |||||||
\(348\) | 1.93192 | + | 1.40362i | 0.103562 | + | 0.0752422i | ||||
\(349\) | −11.8868 | −0.636284 | −0.318142 | − | 0.948043i | \(-0.603059\pi\) | ||||
−0.318142 | + | 0.948043i | \(0.603059\pi\) | |||||||
\(350\) | −8.37992 | − | 6.21611i | −0.447926 | − | 0.332265i | ||||
\(351\) | −8.78766 | −0.469051 | ||||||||
\(352\) | 3.40048 | + | 2.47059i | 0.181246 | + | 0.131683i | ||||
\(353\) | −6.65529 | − | 20.4829i | −0.354225 | − | 1.09019i | −0.956457 | − | 0.291872i | \(-0.905722\pi\) |
0.602232 | − | 0.798321i | \(-0.294278\pi\) | |||||||
\(354\) | −12.6704 | − | 38.9954i | −0.673423 | − | 2.07258i | ||||
\(355\) | −3.71753 | − | 11.6372i | −0.197306 | − | 0.617637i | ||||
\(356\) | 0.998969 | − | 3.07451i | 0.0529453 | − | 0.162949i | ||||
\(357\) | −32.7983 | −1.73587 | ||||||||
\(358\) | −0.798641 | + | 2.45796i | −0.0422095 | + | 0.129907i | ||||
\(359\) | −7.35372 | + | 5.34279i | −0.388115 | + | 0.281982i | −0.764683 | − | 0.644407i | \(-0.777104\pi\) |
0.376568 | + | 0.926389i | \(0.377104\pi\) | |||||||
\(360\) | 4.04929 | + | 12.6757i | 0.213416 | + | 0.668068i | ||||
\(361\) | −0.809017 | − | 0.587785i | −0.0425798 | − | 0.0309361i | ||||
\(362\) | −18.4416 | + | 13.3986i | −0.969267 | + | 0.704213i | ||||
\(363\) | 16.1372 | − | 11.7244i | 0.846985 | − | 0.615371i | ||||
\(364\) | −1.68036 | − | 1.22085i | −0.0880746 | − | 0.0639900i | ||||
\(365\) | −15.7981 | − | 11.5979i | −0.826909 | − | 0.607064i | ||||
\(366\) | −2.61498 | + | 1.89989i | −0.136687 | + | 0.0993090i | ||||
\(367\) | 9.08936 | − | 27.9742i | 0.474461 | − | 1.46024i | −0.372223 | − | 0.928143i | \(-0.621404\pi\) |
0.846684 | − | 0.532096i | \(-0.178596\pi\) | |||||||
\(368\) | −3.70539 | −0.193157 | ||||||||
\(369\) | −1.54596 | + | 4.75798i | −0.0804795 | + | 0.247691i | ||||
\(370\) | −21.2642 | − | 0.105314i | −1.10548 | − | 0.00547501i | ||||
\(371\) | −4.27551 | − | 13.1587i | −0.221974 | − | 0.683165i | ||||
\(372\) | −7.25822 | − | 22.3385i | −0.376321 | − | 1.15820i | ||||
\(373\) | 1.32412 | + | 0.962026i | 0.0685601 | + | 0.0498118i | 0.621537 | − | 0.783384i | \(-0.286508\pi\) |
−0.552977 | + | 0.833196i | \(0.686508\pi\) | |||||||
\(374\) | −22.0815 | −1.14181 | ||||||||
\(375\) | −9.86269 | − | 31.9625i | −0.509307 | − | 1.65053i | ||||
\(376\) | 4.37027 | 0.225380 | ||||||||
\(377\) | −0.642730 | − | 0.466970i | −0.0331023 | − | 0.0240502i | ||||
\(378\) | −5.69315 | − | 17.5217i | −0.292824 | − | 0.901220i | ||||
\(379\) | −2.36491 | − | 7.27843i | −0.121477 | − | 0.373868i | 0.871766 | − | 0.489923i | \(-0.162975\pi\) |
−0.993243 | + | 0.116055i | \(0.962975\pi\) | |||||||
\(380\) | −2.23604 | − | 0.0110743i | −0.114706 | − | 0.000568099i | ||||
\(381\) | −18.5955 | + | 57.2309i | −0.952674 | + | 2.93203i | ||||
\(382\) | 23.8503 | 1.22029 | ||||||||
\(383\) | 10.1810 | − | 31.3340i | 0.520227 | − | 1.60109i | −0.253338 | − | 0.967378i | \(-0.581528\pi\) |
0.773565 | − | 0.633717i | \(-0.218472\pi\) | |||||||
\(384\) | 2.42043 | − | 1.75855i | 0.123517 | − | 0.0897404i | ||||
\(385\) | 15.8097 | + | 11.6065i | 0.805739 | + | 0.591522i | ||||
\(386\) | −12.0014 | − | 8.71951i | −0.610854 | − | 0.443811i | ||||
\(387\) | −2.54738 | + | 1.85078i | −0.129491 | + | 0.0940806i | ||||
\(388\) | −0.138962 | + | 0.100962i | −0.00705475 | + | 0.00512558i | ||||
\(389\) | −19.2283 | − | 13.9702i | −0.974916 | − | 0.708318i | −0.0183492 | − | 0.999832i | \(-0.505841\pi\) |
−0.956567 | + | 0.291514i | \(0.905841\pi\) | |||||||
\(390\) | −2.02628 | − | 6.34297i | −0.102605 | − | 0.321189i | ||||
\(391\) | 15.7484 | − | 11.4419i | 0.796433 | − | 0.578642i | ||||
\(392\) | −0.817497 | + | 2.51600i | −0.0412899 | + | 0.127077i | ||||
\(393\) | 21.0931 | 1.06401 | ||||||||
\(394\) | 3.12502 | − | 9.61782i | 0.157436 | − | 0.484539i | ||||
\(395\) | 4.56220 | + | 14.2813i | 0.229549 | + | 0.718570i | ||||
\(396\) | −7.72952 | − | 23.7890i | −0.388423 | − | 1.19544i | ||||
\(397\) | −1.99586 | − | 6.14261i | −0.100169 | − | 0.308289i | 0.888397 | − | 0.459076i | \(-0.151819\pi\) |
−0.988566 | + | 0.150787i | \(0.951819\pi\) | |||||||
\(398\) | 6.72765 | + | 4.88792i | 0.337226 | + | 0.245009i | ||||
\(399\) | 6.24317 | 0.312550 | ||||||||
\(400\) | −4.07400 | + | 2.89872i | −0.203700 | + | 0.144936i | ||||
\(401\) | −23.6058 | −1.17882 | −0.589409 | − | 0.807835i | \(-0.700639\pi\) | ||||
−0.589409 | + | 0.807835i | \(0.700639\pi\) | |||||||
\(402\) | −18.5818 | − | 13.5005i | −0.926776 | − | 0.673342i | ||||
\(403\) | 2.41473 | + | 7.43178i | 0.120286 | + | 0.370203i | ||||
\(404\) | −0.120246 | − | 0.370079i | −0.00598245 | − | 0.0184121i | ||||
\(405\) | 6.00570 | − | 18.1768i | 0.298425 | − | 0.903214i | ||||
\(406\) | 0.514695 | − | 1.58407i | 0.0255439 | − | 0.0786160i | ||||
\(407\) | 39.9717 | 1.98132 | ||||||||
\(408\) | −4.85694 | + | 14.9481i | −0.240455 | + | 0.740043i | ||||
\(409\) | −1.45595 | + | 1.05781i | −0.0719919 | + | 0.0523052i | −0.623199 | − | 0.782063i | \(-0.714167\pi\) |
0.551207 | + | 0.834368i | \(0.314167\pi\) | |||||||
\(410\) | −1.87979 | − | 0.00930988i | −0.0928360 | − | 0.000459782i | ||||
\(411\) | −43.5352 | − | 31.6302i | −2.14743 | − | 1.56020i | ||||
\(412\) | −16.1869 | + | 11.7605i | −0.797470 | + | 0.579396i | ||||
\(413\) | −23.1366 | + | 16.8097i | −1.13848 | + | 0.827153i | ||||
\(414\) | 17.8394 | + | 12.9611i | 0.876757 | + | 0.637001i | ||||
\(415\) | 8.51613 | − | 25.7749i | 0.418040 | − | 1.26524i | ||||
\(416\) | −0.805251 | + | 0.585049i | −0.0394807 | + | 0.0286844i | ||||
\(417\) | 11.4222 | − | 35.1539i | 0.559348 | − | 1.72150i | ||||
\(418\) | 4.20322 | 0.205586 | ||||||||
\(419\) | 2.76089 | − | 8.49715i | 0.134878 | − | 0.415113i | −0.860693 | − | 0.509125i | \(-0.829969\pi\) |
0.995571 | + | 0.0940118i | \(0.0299691\pi\) | |||||||
\(420\) | 11.3345 | − | 8.14954i | 0.553067 | − | 0.397657i | ||||
\(421\) | 8.45097 | + | 26.0094i | 0.411875 | + | 1.26762i | 0.915016 | + | 0.403417i | \(0.132178\pi\) |
−0.503141 | + | 0.864204i | \(0.667822\pi\) | |||||||
\(422\) | −6.82887 | − | 21.0171i | −0.332424 | − | 1.02310i | ||||
\(423\) | −21.0404 | − | 15.2867i | −1.02302 | − | 0.743267i | ||||
\(424\) | −6.63034 | −0.321998 | ||||||||
\(425\) | 8.36409 | − | 24.9001i | 0.405718 | − | 1.20783i | ||||
\(426\) | 16.3455 | 0.791942 | ||||||||
\(427\) | 1.82391 | + | 1.32515i | 0.0882651 | + | 0.0641284i | ||||
\(428\) | −4.24761 | − | 13.0728i | −0.205316 | − | 0.631898i | ||||
\(429\) | 3.86788 | + | 11.9041i | 0.186743 | + | 0.574737i | ||||
\(430\) | −0.953720 | − | 0.700161i | −0.0459925 | − | 0.0337648i | ||||
\(431\) | −8.12585 | + | 25.0088i | −0.391408 | + | 1.20463i | 0.540315 | + | 0.841463i | \(0.318305\pi\) |
−0.931723 | + | 0.363169i | \(0.881695\pi\) | |||||||
\(432\) | −8.82876 | −0.424774 | ||||||||
\(433\) | −1.50016 | + | 4.61702i | −0.0720932 | + | 0.221880i | −0.980610 | − | 0.195967i | \(-0.937215\pi\) |
0.908517 | + | 0.417847i | \(0.137215\pi\) | |||||||
\(434\) | −13.2538 | + | 9.62946i | −0.636203 | + | 0.462229i | ||||
\(435\) | 4.33540 | − | 3.11717i | 0.207867 | − | 0.149457i | ||||
\(436\) | 12.3667 | + | 8.98496i | 0.592259 | + | 0.430302i | ||||
\(437\) | −2.99772 | + | 2.17797i | −0.143401 | + | 0.104187i | ||||
\(438\) | 21.2141 | − | 15.4130i | 1.01365 | − | 0.736460i | ||||
\(439\) | 31.0054 | + | 22.5267i | 1.47981 | + | 1.07514i | 0.977619 | + | 0.210384i | \(0.0674714\pi\) |
0.502188 | + | 0.864759i | \(0.332529\pi\) | |||||||
\(440\) | 7.63097 | − | 5.48669i | 0.363792 | − | 0.261568i | ||||
\(441\) | 12.7365 | − | 9.25359i | 0.606499 | − | 0.440647i | ||||
\(442\) | 1.61585 | − | 4.97308i | 0.0768582 | − | 0.236545i | ||||
\(443\) | 20.8495 | 0.990590 | 0.495295 | − | 0.868725i | \(-0.335060\pi\) | ||||
0.495295 | + | 0.868725i | \(0.335060\pi\) | |||||||
\(444\) | 8.79200 | − | 27.0590i | 0.417250 | − | 1.28416i | ||||
\(445\) | −5.82695 | − | 4.27778i | −0.276224 | − | 0.202786i | ||||
\(446\) | 1.51202 | + | 4.65353i | 0.0715965 | + | 0.220351i | ||||
\(447\) | 10.9448 | + | 33.6847i | 0.517673 | + | 1.59323i | ||||
\(448\) | −1.68822 | − | 1.22656i | −0.0797607 | − | 0.0579495i | ||||
\(449\) | 14.3921 | 0.679207 | 0.339603 | − | 0.940569i | \(-0.389707\pi\) | ||||
0.339603 | + | 0.940569i | \(0.389707\pi\) | |||||||
\(450\) | 29.7534 | + | 0.294722i | 1.40259 | + | 0.0138933i | ||||
\(451\) | 3.53355 | 0.166388 | ||||||||
\(452\) | −15.5633 | − | 11.3074i | −0.732035 | − | 0.531855i | ||||
\(453\) | −9.47357 | − | 29.1567i | −0.445107 | − | 1.36990i | ||||
\(454\) | 3.29003 | + | 10.1257i | 0.154409 | + | 0.475221i | ||||
\(455\) | −3.77087 | + | 2.71126i | −0.176781 | + | 0.127106i | ||||
\(456\) | 0.924522 | − | 2.84539i | 0.0432947 | − | 0.133247i | ||||
\(457\) | −42.2986 | −1.97864 | −0.989322 | − | 0.145749i | \(-0.953441\pi\) | ||||
−0.989322 | + | 0.145749i | \(0.953441\pi\) | |||||||
\(458\) | −2.23092 | + | 6.86606i | −0.104244 | + | 0.320830i | ||||
\(459\) | 37.5235 | − | 27.2624i | 1.75145 | − | 1.27250i | ||||
\(460\) | −2.59936 | + | 7.86721i | −0.121196 | + | 0.366811i | ||||
\(461\) | −1.06390 | − | 0.772970i | −0.0495509 | − | 0.0360008i | 0.562734 | − | 0.826638i | \(-0.309749\pi\) |
−0.612285 | + | 0.790637i | \(0.709749\pi\) | |||||||
\(462\) | −21.2298 | + | 15.4243i | −0.987699 | + | 0.717605i | ||||
\(463\) | 3.45269 | − | 2.50853i | 0.160460 | − | 0.116581i | −0.504658 | − | 0.863320i | \(-0.668381\pi\) |
0.665118 | + | 0.746738i | \(0.268381\pi\) | |||||||
\(464\) | −0.645736 | − | 0.469154i | −0.0299775 | − | 0.0217799i | ||||
\(465\) | −52.5203 | − | 0.260114i | −2.43557 | − | 0.0120625i | ||||
\(466\) | −6.08783 | + | 4.42307i | −0.282013 | + | 0.204895i | ||||
\(467\) | −0.459052 | + | 1.41282i | −0.0212424 | + | 0.0653774i | −0.961116 | − | 0.276146i | \(-0.910943\pi\) |
0.939873 | + | 0.341523i | \(0.110943\pi\) | |||||||
\(468\) | 5.92327 | 0.273803 | ||||||||
\(469\) | −4.95048 | + | 15.2360i | −0.228592 | + | 0.703534i | ||||
\(470\) | 3.06578 | − | 9.27887i | 0.141414 | − | 0.428002i | ||||
\(471\) | −6.06307 | − | 18.6602i | −0.279372 | − | 0.859818i | ||||
\(472\) | 4.23501 | + | 13.0340i | 0.194932 | + | 0.599939i | ||||
\(473\) | 1.79924 | + | 1.30722i | 0.0827292 | + | 0.0601063i | ||||
\(474\) | −20.0594 | −0.921360 | ||||||||
\(475\) | −1.59211 | + | 4.73975i | −0.0730510 | + | 0.217474i | ||||
\(476\) | 10.9627 | 0.502473 | ||||||||
\(477\) | 31.9213 | + | 23.1922i | 1.46158 | + | 1.06190i | ||||
\(478\) | 7.80412 | + | 24.0186i | 0.356952 | + | 1.09859i | ||||
\(479\) | 9.96187 | + | 30.6595i | 0.455169 | + | 1.40087i | 0.870936 | + | 0.491396i | \(0.163513\pi\) |
−0.415767 | + | 0.909471i | \(0.636487\pi\) | |||||||
\(480\) | −2.03576 | − | 6.37264i | −0.0929193 | − | 0.290870i | ||||
\(481\) | −2.92500 | + | 9.00223i | −0.133369 | + | 0.410466i | ||||
\(482\) | −15.8923 | −0.723875 | ||||||||
\(483\) | 7.14861 | − | 22.0012i | 0.325273 | − | 1.00109i | ||||
\(484\) | −5.39379 | + | 3.91882i | −0.245172 | + | 0.178128i | ||||
\(485\) | 0.116878 | + | 0.365868i | 0.00530714 | + | 0.0166132i | ||||
\(486\) | −0.706220 | − | 0.513099i | −0.0320348 | − | 0.0232746i | ||||
\(487\) | −22.8246 | + | 16.5830i | −1.03428 | + | 0.751448i | −0.969161 | − | 0.246429i | \(-0.920743\pi\) |
−0.0651191 | + | 0.997877i | \(0.520743\pi\) | |||||||
\(488\) | 0.874043 | − | 0.635029i | 0.0395661 | − | 0.0287464i | ||||
\(489\) | 12.6002 | + | 9.15455i | 0.569799 | + | 0.413983i | ||||
\(490\) | 4.76843 | + | 3.50068i | 0.215416 | + | 0.158145i | ||||
\(491\) | 17.9924 | − | 13.0723i | 0.811988 | − | 0.589944i | −0.102419 | − | 0.994741i | \(-0.532658\pi\) |
0.914406 | + | 0.404798i | \(0.132658\pi\) | |||||||
\(492\) | 0.777224 | − | 2.39205i | 0.0350399 | − | 0.107842i | ||||
\(493\) | 4.19317 | 0.188851 | ||||||||
\(494\) | −0.307578 | + | 0.946629i | −0.0138386 | + | 0.0425909i | ||||
\(495\) | −55.9307 | − | 0.277004i | −2.51390 | − | 0.0124504i | ||||
\(496\) | 2.42602 | + | 7.46654i | 0.108932 | + | 0.335257i | ||||
\(497\) | −3.52303 | − | 10.8428i | −0.158029 | − | 0.486364i | ||||
\(498\) | 29.3835 | + | 21.3483i | 1.31670 | + | 0.956642i | ||||
\(499\) | 23.7219 | 1.06194 | 0.530969 | − | 0.847391i | \(-0.321828\pi\) | ||||
0.530969 | + | 0.847391i | \(0.321828\pi\) | |||||||
\(500\) | 3.29655 | + | 10.6833i | 0.147426 | + | 0.477771i | ||||
\(501\) | 11.6734 | 0.521528 | ||||||||
\(502\) | −6.27718 | − | 4.56064i | −0.280164 | − | 0.203551i | ||||
\(503\) | 5.92161 | + | 18.2248i | 0.264031 | + | 0.812605i | 0.991915 | + | 0.126904i | \(0.0405042\pi\) |
−0.727883 | + | 0.685701i | \(0.759496\pi\) | |||||||
\(504\) | 3.83743 | + | 11.8104i | 0.170933 | + | 0.526077i | ||||
\(505\) | −0.870096 | − | 0.00430926i | −0.0387188 | − | 0.000191760i | ||||
\(506\) | 4.81281 | − | 14.8123i | 0.213956 | − | 0.658488i | ||||
\(507\) | 35.9296 | 1.59569 | ||||||||
\(508\) | 6.21544 | − | 19.1292i | 0.275766 | − | 0.848719i | ||||
\(509\) | −8.69960 | + | 6.32063i | −0.385603 | + | 0.280157i | −0.763651 | − | 0.645629i | \(-0.776595\pi\) |
0.378048 | + | 0.925786i | \(0.376595\pi\) | |||||||
\(510\) | 28.3304 | + | 20.7984i | 1.25449 | + | 0.920968i | ||||
\(511\) | −14.7965 | − | 10.7503i | −0.654561 | − | 0.475566i | ||||
\(512\) | −0.809017 | + | 0.587785i | −0.0357538 | + | 0.0259767i | ||||
\(513\) | −7.14262 | + | 5.18942i | −0.315354 | + | 0.229118i | ||||
\(514\) | 16.7520 | + | 12.1711i | 0.738900 | + | 0.536843i | ||||
\(515\) | 13.6143 | + | 42.6177i | 0.599920 | + | 1.87796i | ||||
\(516\) | 1.28068 | − | 0.930471i | 0.0563789 | − | 0.0409617i | ||||
\(517\) | −5.67641 | + | 17.4702i | −0.249648 | + | 0.768338i | ||||
\(518\) | −19.8445 | −0.871918 | ||||||||
\(519\) | 12.7362 | − | 39.1980i | 0.559057 | − | 1.72060i | ||||
\(520\) | 0.677275 | + | 2.12011i | 0.0297005 | + | 0.0929729i | ||||
\(521\) | −4.65267 | − | 14.3194i | −0.203837 | − | 0.627346i | −0.999759 | − | 0.0219470i | \(-0.993013\pi\) |
0.795922 | − | 0.605399i | \(-0.206987\pi\) | |||||||
\(522\) | 1.46780 | + | 4.51743i | 0.0642439 | + | 0.197722i | ||||
\(523\) | 16.3832 | + | 11.9031i | 0.716389 | + | 0.520487i | 0.885228 | − | 0.465157i | \(-0.154002\pi\) |
−0.168839 | + | 0.985644i | \(0.554002\pi\) | |||||||
\(524\) | −7.05026 | −0.307992 | ||||||||
\(525\) | −9.35170 | − | 29.7821i | −0.408142 | − | 1.29980i | ||||
\(526\) | 13.4475 | 0.586341 | ||||||||
\(527\) | −33.3669 | − | 24.2425i | −1.45349 | − | 1.05602i | ||||
\(528\) | 3.88597 | + | 11.9598i | 0.169115 | + | 0.520483i | ||||
\(529\) | −2.86461 | − | 8.81636i | −0.124548 | − | 0.383320i | ||||
\(530\) | −4.65123 | + | 14.0774i | −0.202036 | + | 0.611483i | ||||
\(531\) | 25.2024 | − | 77.5650i | 1.09369 | − | 3.36604i | ||||
\(532\) | −2.08675 | −0.0904721 | ||||||||
\(533\) | −0.258574 | + | 0.795808i | −0.0112001 | + | 0.0344703i | ||||
\(534\) | 7.82461 | − | 5.68491i | 0.338604 | − | 0.246010i | ||||
\(535\) | −30.7356 | − | 0.152222i | −1.32882 | − | 0.00658114i | ||||
\(536\) | 6.21087 | + | 4.51246i | 0.268269 | + | 0.194909i | ||||
\(537\) | −6.25550 | + | 4.54489i | −0.269945 | + | 0.196126i | ||||
\(538\) | 5.24456 | − | 3.81040i | 0.226109 | − | 0.164278i | ||||
\(539\) | −8.99589 | − | 6.53590i | −0.387480 | − | 0.281521i | ||||
\(540\) | −6.19344 | + | 18.7450i | −0.266523 | + | 0.806658i | ||||
\(541\) | −13.6458 | + | 9.91425i | −0.586678 | + | 0.426247i | −0.841126 | − | 0.540840i | \(-0.818106\pi\) |
0.254447 | + | 0.967087i | \(0.418106\pi\) | |||||||
\(542\) | 3.33052 | − | 10.2503i | 0.143058 | − | 0.440287i | ||||
\(543\) | −68.1985 | −2.92668 | ||||||||
\(544\) | 1.62341 | − | 4.99634i | 0.0696031 | − | 0.214216i | ||||
\(545\) | 27.7520 | − | 19.9538i | 1.18877 | − | 0.854726i | ||||
\(546\) | −1.92027 | − | 5.90997i | −0.0821798 | − | 0.252923i | ||||
\(547\) | 5.88085 | + | 18.0994i | 0.251447 | + | 0.773874i | 0.994509 | + | 0.104651i | \(0.0333727\pi\) |
−0.743062 | + | 0.669222i | \(0.766627\pi\) | |||||||
\(548\) | 14.5514 | + | 10.5722i | 0.621607 | + | 0.451624i | ||||
\(549\) | −6.42929 | −0.274395 | ||||||||
\(550\) | −6.29604 | − | 20.0509i | −0.268464 | − | 0.854972i | ||||
\(551\) | −0.798173 | −0.0340033 | ||||||||
\(552\) | −8.96865 | − | 6.51610i | −0.381731 | − | 0.277344i | ||||
\(553\) | 4.32351 | + | 13.3064i | 0.183854 | + | 0.565845i | ||||
\(554\) | −0.478718 | − | 1.47334i | −0.0203388 | − | 0.0625963i | ||||
\(555\) | −51.2834 | − | 37.6491i | −2.17686 | − | 1.59811i | ||||
\(556\) | −3.81782 | + | 11.7500i | −0.161911 | + | 0.498312i | ||||
\(557\) | 10.1834 | 0.431485 | 0.215743 | − | 0.976450i | \(-0.430783\pi\) | ||||
0.215743 | + | 0.976450i | \(0.430783\pi\) | |||||||
\(558\) | 14.4372 | − | 44.4331i | 0.611175 | − | 1.88100i | ||||
\(559\) | −0.426069 | + | 0.309558i | −0.0180208 | + | 0.0130929i | ||||
\(560\) | −3.78850 | + | 2.72394i | −0.160093 | + | 0.115108i | ||||
\(561\) | −53.4467 | − | 38.8313i | −2.25652 | − | 1.63946i | ||||
\(562\) | 17.7596 | − | 12.9031i | 0.749145 | − | 0.544286i | ||||
\(563\) | 6.62457 | − | 4.81303i | 0.279192 | − | 0.202845i | −0.439373 | − | 0.898305i | \(-0.644799\pi\) |
0.718565 | + | 0.695460i | \(0.244799\pi\) | |||||||
\(564\) | 10.5779 | + | 7.68532i | 0.445412 | + | 0.323611i | ||||
\(565\) | −34.9254 | + | 25.1114i | −1.46932 | + | 1.05645i | ||||
\(566\) | −12.4101 | + | 9.01648i | −0.521636 | + | 0.378991i | ||||
\(567\) | 5.52057 | − | 16.9906i | 0.231842 | − | 0.713537i | ||||
\(568\) | −5.46340 | −0.229239 | ||||||||
\(569\) | −6.38374 | + | 19.6471i | −0.267620 | + | 0.823651i | 0.723458 | + | 0.690369i | \(0.242552\pi\) |
−0.991078 | + | 0.133282i | \(0.957448\pi\) | |||||||
\(570\) | −5.39271 | − | 3.95898i | −0.225876 | − | 0.165824i | ||||
\(571\) | 9.99996 | + | 30.7767i | 0.418485 | + | 1.28797i | 0.909096 | + | 0.416586i | \(0.136774\pi\) |
−0.490611 | + | 0.871379i | \(0.663226\pi\) | |||||||
\(572\) | −1.29282 | − | 3.97889i | −0.0540556 | − | 0.166366i | ||||
\(573\) | 57.7280 | + | 41.9419i | 2.41162 | + | 1.75215i | ||||
\(574\) | −1.75428 | −0.0732222 | ||||||||
\(575\) | 14.8800 | + | 11.0378i | 0.620540 | + | 0.460308i | ||||
\(576\) | 5.95097 | 0.247957 | ||||||||
\(577\) | 3.55073 | + | 2.57975i | 0.147819 | + | 0.107397i | 0.659237 | − | 0.751936i | \(-0.270880\pi\) |
−0.511418 | + | 0.859332i | \(0.670880\pi\) | |||||||
\(578\) | 3.27523 | + | 10.0801i | 0.136232 | + | 0.419278i | ||||
\(579\) | −13.7148 | − | 42.2099i | −0.569969 | − | 1.75419i | ||||
\(580\) | −1.44909 | + | 1.04190i | −0.0601700 | + | 0.0432624i | ||||
\(581\) | 7.82822 | − | 24.0928i | 0.324769 | − | 0.999537i | ||||
\(582\) | −0.513896 | −0.0213017 | ||||||||
\(583\) | 8.61193 | − | 26.5048i | 0.356670 | − | 1.09772i | ||||
\(584\) | −7.09071 | + | 5.15171i | −0.293416 | + | 0.213179i | ||||
\(585\) | 4.15521 | − | 12.5762i | 0.171797 | − | 0.519960i | ||||
\(586\) | 13.6575 | + | 9.92274i | 0.564185 | + | 0.409904i | ||||
\(587\) | −27.6397 | + | 20.0814i | −1.14081 | + | 0.828849i | −0.987232 | − | 0.159287i | \(-0.949080\pi\) |
−0.153580 | + | 0.988136i | \(0.549080\pi\) | |||||||
\(588\) | −6.40319 | + | 4.65219i | −0.264063 | + | 0.191853i | ||||
\(589\) | 6.35141 | + | 4.61457i | 0.261705 | + | 0.190140i | ||||
\(590\) | 30.6444 | + | 0.151771i | 1.26161 | + | 0.00624829i | ||||
\(591\) | 24.4773 | − | 17.7838i | 1.00686 | − | 0.731527i | ||||
\(592\) | −2.93868 | + | 9.04433i | −0.120779 | + | 0.371720i | ||||
\(593\) | 33.6051 | 1.38000 | 0.689998 | − | 0.723811i | \(-0.257611\pi\) | ||||
0.689998 | + | 0.723811i | \(0.257611\pi\) | |||||||
\(594\) | 11.4674 | − | 35.2930i | 0.470513 | − | 1.44809i | ||||
\(595\) | 7.69038 | − | 23.2757i | 0.315275 | − | 0.954210i | ||||
\(596\) | −3.65826 | − | 11.2590i | −0.149848 | − | 0.461185i | ||||
\(597\) | 7.68817 | + | 23.6618i | 0.314656 | + | 0.968411i | ||||
\(598\) | 2.98377 | + | 2.16784i | 0.122015 | + | 0.0886494i | ||||
\(599\) | −16.6511 | −0.680346 | −0.340173 | − | 0.940363i | \(-0.610486\pi\) | ||||
−0.340173 | + | 0.940363i | \(0.610486\pi\) | |||||||
\(600\) | −14.9584 | − | 0.148170i | −0.610672 | − | 0.00604902i | ||||
\(601\) | 2.98997 | 0.121963 | 0.0609817 | − | 0.998139i | \(-0.480577\pi\) | ||||
0.0609817 | + | 0.998139i | \(0.480577\pi\) | |||||||
\(602\) | −0.893258 | − | 0.648990i | −0.0364065 | − | 0.0264509i | ||||
\(603\) | −14.1177 | − | 43.4499i | −0.574919 | − | 1.76942i | ||||
\(604\) | 3.16649 | + | 9.74547i | 0.128843 | + | 0.396537i | ||||
\(605\) | 4.53657 | + | 14.2011i | 0.184438 | + | 0.577355i | ||||
\(606\) | 0.359753 | − | 1.10721i | 0.0146140 | − | 0.0449772i | ||||
\(607\) | 1.84086 | 0.0747184 | 0.0373592 | − | 0.999302i | \(-0.488105\pi\) | ||||
0.0373592 | + | 0.999302i | \(0.488105\pi\) | |||||||
\(608\) | −0.309017 | + | 0.951057i | −0.0125323 | + | 0.0385704i | ||||
\(609\) | 4.03144 | − | 2.92901i | 0.163362 | − | 0.118690i | ||||
\(610\) | −0.735134 | − | 2.30123i | −0.0297647 | − | 0.0931740i | ||||
\(611\) | −3.51917 | − | 2.55682i | −0.142370 | − | 0.103438i | ||||
\(612\) | −25.2925 | + | 18.3760i | −1.02239 | + | 0.742808i | ||||
\(613\) | −9.86595 | + | 7.16803i | −0.398482 | + | 0.289514i | −0.768922 | − | 0.639342i | \(-0.779207\pi\) |
0.370440 | + | 0.928856i | \(0.379207\pi\) | |||||||
\(614\) | −24.5098 | − | 17.8074i | −0.989137 | − | 0.718650i | ||||
\(615\) | −4.53352 | − | 3.32822i | −0.182809 | − | 0.134207i | ||||
\(616\) | 7.09595 | − | 5.15551i | 0.285904 | − | 0.207721i | ||||
\(617\) | −7.41129 | + | 22.8096i | −0.298367 | + | 0.918280i | 0.683702 | + | 0.729761i | \(0.260369\pi\) |
−0.982070 | + | 0.188519i | \(0.939631\pi\) | |||||||
\(618\) | −59.8605 | −2.40794 | ||||||||
\(619\) | 8.20433 | − | 25.2503i | 0.329760 | − | 1.01490i | −0.639486 | − | 0.768803i | \(-0.720853\pi\) |
0.969246 | − | 0.246094i | \(-0.0791471\pi\) | |||||||
\(620\) | 17.5547 | + | 0.0869417i | 0.705012 | + | 0.00349166i | ||||
\(621\) | 10.1092 | + | 31.1129i | 0.405668 | + | 1.24852i | ||||
\(622\) | −7.67558 | − | 23.6230i | −0.307763 | − | 0.947196i | ||||
\(623\) | −5.45755 | − | 3.96514i | −0.218652 | − | 0.158860i | ||||
\(624\) | −2.97789 | −0.119211 | ||||||||
\(625\) | 24.9951 | + | 0.495227i | 0.999804 | + | 0.0198091i | ||||
\(626\) | 13.9915 | 0.559211 | ||||||||
\(627\) | 10.1736 | + | 7.39156i | 0.406295 | + | 0.295191i | ||||
\(628\) | 2.02655 | + | 6.23709i | 0.0808682 | + | 0.248887i | ||||
\(629\) | −15.4383 | − | 47.5141i | −0.615564 | − | 1.89451i | ||||
\(630\) | 27.7676 | + | 0.137522i | 1.10629 | + | 0.00547903i | ||||
\(631\) | −11.2805 | + | 34.7179i | −0.449071 | + | 1.38210i | 0.428885 | + | 0.903359i | \(0.358907\pi\) |
−0.877956 | + | 0.478741i | \(0.841093\pi\) | |||||||
\(632\) | 6.70476 | 0.266701 | ||||||||
\(633\) | 20.4307 | − | 62.8793i | 0.812049 | − | 2.49923i | ||||
\(634\) | −13.1165 | + | 9.52970i | −0.520923 | + | 0.378473i | ||||
\(635\) | −36.2544 | − | 26.6157i | −1.43871 | − | 1.05621i | ||||
\(636\) | −16.0483 | − | 11.6598i | −0.636356 | − | 0.462339i | ||||
\(637\) | 2.13027 | − | 1.54773i | 0.0844045 | − | 0.0613234i | ||||
\(638\) | 2.71417 | − | 1.97196i | 0.107455 | − | 0.0780707i | ||||
\(639\) | 26.3032 | + | 19.1104i | 1.04054 | + | 0.755995i | ||||
\(640\) | 0.680442 | + | 2.13002i | 0.0268968 | + | 0.0841966i | ||||
\(641\) | −19.0820 | + | 13.8639i | −0.753694 | + | 0.547590i | −0.896970 | − | 0.442092i | \(-0.854236\pi\) |
0.143276 | + | 0.989683i | \(0.454236\pi\) | |||||||
\(642\) | 12.7081 | − | 39.1114i | 0.501548 | − | 1.54361i | ||||
\(643\) | 8.65093 | 0.341159 | 0.170580 | − | 0.985344i | \(-0.445436\pi\) | ||||
0.170580 | + | 0.985344i | \(0.445436\pi\) | |||||||
\(644\) | −2.38939 | + | 7.35378i | −0.0941551 | + | 0.289780i | ||||
\(645\) | −1.07715 | − | 3.37185i | −0.0424127 | − | 0.132767i | ||||
\(646\) | −1.62341 | − | 4.99634i | −0.0638722 | − | 0.196578i | ||||
\(647\) | −12.2228 | − | 37.6180i | −0.480528 | − | 1.47891i | −0.838354 | − | 0.545126i | \(-0.816482\pi\) |
0.357826 | − | 0.933788i | \(-0.383518\pi\) | |||||||
\(648\) | −6.92610 | − | 5.03211i | −0.272083 | − | 0.197680i | ||||
\(649\) | −57.6042 | −2.26116 | ||||||||
\(650\) | 4.97648 | + | 0.0492945i | 0.195194 | + | 0.00193349i | ||||
\(651\) | −49.0138 | −1.92100 | ||||||||
\(652\) | −4.21154 | − | 3.05986i | −0.164937 | − | 0.119834i | ||||
\(653\) | 0.159639 | + | 0.491320i | 0.00624717 | + | 0.0192268i | 0.954132 | − | 0.299388i | \(-0.0967824\pi\) |
−0.947884 | + | 0.318615i | \(0.896782\pi\) | |||||||
\(654\) | 14.1324 | + | 43.4950i | 0.552619 | + | 1.70079i | ||||
\(655\) | −4.94580 | + | 14.9690i | −0.193249 | + | 0.584885i | ||||
\(656\) | −0.259783 | + | 0.799530i | −0.0101428 | + | 0.0312164i | ||||
\(657\) | 52.1579 | 2.03487 | ||||||||
\(658\) | 2.81813 | − | 8.67331i | 0.109862 | − | 0.338121i | ||||
\(659\) | −30.6268 | + | 22.2517i | −1.19305 | + | 0.866803i | −0.993583 | − | 0.113102i | \(-0.963921\pi\) |
−0.199468 | + | 0.979904i | \(0.563921\pi\) | |||||||
\(660\) | 28.1188 | + | 0.139262i | 1.09452 | + | 0.00542077i | ||||
\(661\) | 5.00072 | + | 3.63324i | 0.194506 | + | 0.141317i | 0.680776 | − | 0.732492i | \(-0.261643\pi\) |
−0.486270 | + | 0.873809i | \(0.661643\pi\) | |||||||
\(662\) | 22.3547 | − | 16.2416i | 0.868838 | − | 0.631248i | ||||
\(663\) | 12.6564 | − | 9.19545i | 0.491536 | − | 0.357122i | ||||
\(664\) | −9.82127 | − | 7.13557i | −0.381139 | − | 0.276914i | ||||
\(665\) | −1.46387 | + | 4.43054i | −0.0567664 | + | 0.171809i | ||||
\(666\) | 45.7842 | − | 33.2642i | 1.77410 | − | 1.28896i | ||||
\(667\) | −0.913931 | + | 2.81279i | −0.0353876 | + | 0.108912i | ||||
\(668\) | −3.90176 | −0.150964 | ||||||||
\(669\) | −4.52370 | + | 13.9225i | −0.174896 | + | 0.538276i | ||||
\(670\) | 13.9377 | − | 10.0213i | 0.538462 | − | 0.387155i | ||||
\(671\) | 1.40327 | + | 4.31881i | 0.0541725 | + | 0.166726i | ||||
\(672\) | −1.92925 | − | 5.93761i | −0.0744223 | − | 0.229048i | ||||
\(673\) | −9.99572 | − | 7.26232i | −0.385307 | − | 0.279942i | 0.378223 | − | 0.925715i | \(-0.376535\pi\) |
−0.763530 | + | 0.645773i | \(0.776535\pi\) | |||||||
\(674\) | −1.87309 | −0.0721487 | ||||||||
\(675\) | 35.4543 | + | 26.2996i | 1.36464 | + | 1.01227i | ||||
\(676\) | −12.0093 | −0.461896 | ||||||||
\(677\) | 35.1695 | + | 25.5521i | 1.35167 | + | 0.982049i | 0.998926 | + | 0.0463305i | \(0.0147527\pi\) |
0.352748 | + | 0.935718i | \(0.385247\pi\) | |||||||
\(678\) | −17.7853 | − | 54.7375i | −0.683040 | − | 2.10218i | ||||
\(679\) | 0.110762 | + | 0.340892i | 0.00425067 | + | 0.0130822i | ||||
\(680\) | −9.46929 | − | 6.95175i | −0.363131 | − | 0.266588i | ||||
\(681\) | −9.84317 | + | 30.2942i | −0.377191 | + | 1.16087i | ||||
\(682\) | −32.9986 | −1.26358 | ||||||||
\(683\) | −7.86720 | + | 24.2127i | −0.301030 | + | 0.926475i | 0.680099 | + | 0.733120i | \(0.261937\pi\) |
−0.981129 | + | 0.193355i | \(0.938063\pi\) | |||||||
\(684\) | 4.81444 | − | 3.49789i | 0.184085 | − | 0.133745i | ||||
\(685\) | 32.6547 | − | 23.4788i | 1.24767 | − | 0.897079i | ||||
\(686\) | 16.2836 | + | 11.8308i | 0.621712 | + | 0.451701i | ||||
\(687\) | −17.4741 | + | 12.6957i | −0.666677 | + | 0.484369i | ||||
\(688\) | −0.428062 | + | 0.311005i | −0.0163197 | + | 0.0118570i | ||||
\(689\) | 5.33909 | + | 3.87907i | 0.203403 | + | 0.147781i | ||||
\(690\) | −20.1264 | + | 14.4709i | −0.766200 | + | 0.550900i | ||||
\(691\) | −41.4114 | + | 30.0871i | −1.57536 | + | 1.14457i | −0.653583 | + | 0.756855i | \(0.726735\pi\) |
−0.921780 | + | 0.387713i | \(0.873265\pi\) | |||||||
\(692\) | −4.25701 | + | 13.1017i | −0.161827 | + | 0.498054i | ||||
\(693\) | −52.1964 | −1.98278 | ||||||||
\(694\) | −1.76375 | + | 5.42828i | −0.0669512 | + | 0.206055i | ||||
\(695\) | 22.2692 | + | 16.3486i | 0.844719 | + | 0.620139i | ||||
\(696\) | −0.737929 | − | 2.27111i | −0.0279711 | − | 0.0860863i | ||||
\(697\) | −1.36476 | − | 4.20030i | −0.0516940 | − | 0.159098i | ||||
\(698\) | 9.61660 | + | 6.98687i | 0.363994 | + | 0.264457i | ||||
\(699\) | −22.5134 | −0.851533 | ||||||||
\(700\) | 3.12576 | + | 9.95453i | 0.118143 | + | 0.376246i | ||||
\(701\) | 4.84188 | 0.182875 | 0.0914376 | − | 0.995811i | \(-0.470854\pi\) | ||||
0.0914376 | + | 0.995811i | \(0.470854\pi\) | |||||||
\(702\) | 7.10937 | + | 5.16526i | 0.268326 | + | 0.194950i | ||||
\(703\) | 2.93868 | + | 9.04433i | 0.110835 | + | 0.341114i | ||||
\(704\) | −1.29887 | − | 3.99750i | −0.0489529 | − | 0.150662i | ||||
\(705\) | 23.7378 | − | 17.0676i | 0.894018 | − | 0.642801i | ||||
\(706\) | −6.65529 | + | 20.4829i | −0.250475 | + | 0.770883i | ||||
\(707\) | −0.812003 | −0.0305385 | ||||||||
\(708\) | −12.6704 | + | 38.9954i | −0.476182 | + | 1.46554i | ||||
\(709\) | 24.2595 | − | 17.6255i | 0.911083 | − | 0.661940i | −0.0302057 | − | 0.999544i | \(-0.509616\pi\) |
0.941288 | + | 0.337603i | \(0.109616\pi\) | |||||||
\(710\) | −3.83261 | + | 11.5998i | −0.143835 | + | 0.435332i | ||||
\(711\) | −32.2797 | − | 23.4525i | −1.21058 | − | 0.879539i | ||||
\(712\) | −2.61534 | + | 1.90015i | −0.0980138 | + | 0.0712112i | ||||
\(713\) | 23.5345 | − | 17.0988i | 0.881373 | − | 0.640355i | ||||
\(714\) | 26.5344 | + | 19.2783i | 0.993023 | + | 0.721474i | ||||
\(715\) | −9.35483 | − | 0.0463310i | −0.349851 | − | 0.00173268i | ||||
\(716\) | 2.09087 | − | 1.51911i | 0.0781395 | − | 0.0567716i | ||||
\(717\) | −23.3485 | + | 71.8593i | −0.871966 | + | 2.68364i | ||||
\(718\) | 9.08970 | 0.339225 | ||||||||
\(719\) | −14.3722 | + | 44.2330i | −0.535991 | + | 1.64961i | 0.205506 | + | 0.978656i | \(0.434116\pi\) |
−0.741497 | + | 0.670956i | \(0.765884\pi\) | |||||||
\(720\) | 4.17465 | − | 12.6350i | 0.155580 | − | 0.470878i | ||||
\(721\) | 12.9020 | + | 39.7084i | 0.480497 | + | 1.47882i | ||||
\(722\) | 0.309017 | + | 0.951057i | 0.0115004 | + | 0.0353947i | ||||
\(723\) | −38.4663 | − | 27.9474i | −1.43058 | − | 1.03937i | ||||
\(724\) | 22.7950 | 0.847170 | ||||||||
\(725\) | 1.19559 | + | 3.80757i | 0.0444031 | + | 0.141410i | ||||
\(726\) | −19.9467 | −0.740292 | ||||||||
\(727\) | 4.24932 | + | 3.08731i | 0.157599 | + | 0.114502i | 0.663790 | − | 0.747919i | \(-0.268947\pi\) |
−0.506191 | + | 0.862421i | \(0.668947\pi\) | |||||||
\(728\) | 0.641839 | + | 1.97538i | 0.0237881 | + | 0.0732124i | ||||
\(729\) | −8.74366 | − | 26.9102i | −0.323839 | − | 0.996675i | ||||
\(730\) | 5.96381 | + | 18.6688i | 0.220730 | + | 0.690964i | ||||
\(731\) | 0.858968 | − | 2.64363i | 0.0317701 | − | 0.0977783i | ||||
\(732\) | 3.23229 | 0.119469 | ||||||||
\(733\) | 3.52936 | − | 10.8623i | 0.130360 | − | 0.401207i | −0.864480 | − | 0.502668i | \(-0.832352\pi\) |
0.994839 | + | 0.101461i | \(0.0323518\pi\) | |||||||
\(734\) | −23.7962 | + | 17.2890i | −0.878335 | + | 0.638148i | ||||
\(735\) | 5.38555 | + | 16.8587i | 0.198649 | + | 0.621841i | ||||
\(736\) | 2.99772 | + | 2.17797i | 0.110498 | + | 0.0802812i | ||||
\(737\) | −26.1057 | + | 18.9669i | −0.961615 | + | 0.698654i | ||||
\(738\) | 4.04738 | − | 2.94059i | 0.148986 | − | 0.108245i | ||||
\(739\) | −10.8558 | − | 7.88721i | −0.399337 | − | 0.290136i | 0.369934 | − | 0.929058i | \(-0.379380\pi\) |
−0.769271 | + | 0.638923i | \(0.779380\pi\) | |||||||
\(740\) | 17.1412 | + | 12.5840i | 0.630124 | + | 0.462597i | ||||
\(741\) | −2.40916 | + | 1.75036i | −0.0885028 | + | 0.0643011i | ||||
\(742\) | −4.27551 | + | 13.1587i | −0.156959 | + | 0.483070i | ||||
\(743\) | −42.8895 | −1.57346 | −0.786732 | − | 0.617294i | \(-0.788229\pi\) | ||||
−0.786732 | + | 0.617294i | \(0.788229\pi\) | |||||||
\(744\) | −7.25822 | + | 22.3385i | −0.266099 | + | 0.818969i | ||||
\(745\) | −26.4711 | − | 0.131101i | −0.969825 | − | 0.00480319i | ||||
\(746\) | −0.505767 | − | 1.55659i | −0.0185174 | − | 0.0569908i | ||||
\(747\) | 22.3244 | + | 68.7075i | 0.816808 | + | 2.51388i | ||||
\(748\) | 17.8643 | + | 12.9792i | 0.653183 | + | 0.474565i | ||||
\(749\) | −28.6835 | −1.04807 | ||||||||
\(750\) | −10.8080 | + | 31.6553i | −0.394652 | + | 1.15589i | ||||
\(751\) | −39.3191 | −1.43477 | −0.717386 | − | 0.696676i | \(-0.754662\pi\) | ||||
−0.717386 | + | 0.696676i | \(0.754662\pi\) | |||||||
\(752\) | −3.53562 | − | 2.56878i | −0.128931 | − | 0.0936738i | ||||
\(753\) | −7.17339 | − | 22.0774i | −0.261413 | − | 0.804546i | ||||
\(754\) | 0.245501 | + | 0.755574i | 0.00894061 | + | 0.0275164i | ||||
\(755\) | 22.9127 | + | 0.113478i | 0.833878 | + | 0.00412989i | ||||
\(756\) | −5.69315 | + | 17.5217i | −0.207058 | + | 0.637258i | ||||
\(757\) | 48.8047 | 1.77384 | 0.886918 | − | 0.461927i | \(-0.152842\pi\) | ||||
0.886918 | + | 0.461927i | \(0.152842\pi\) | |||||||
\(758\) | −2.36491 | + | 7.27843i | −0.0858973 | + | 0.264365i | ||||
\(759\) | 37.6972 | − | 27.3886i | 1.36832 | − | 0.994145i | ||||
\(760\) | 1.80249 | + | 1.32327i | 0.0653830 | + | 0.0480001i | ||||
\(761\) | 16.1918 | + | 11.7640i | 0.586953 | + | 0.426446i | 0.841224 | − | 0.540687i | \(-0.181836\pi\) |
−0.254271 | + | 0.967133i | \(0.581836\pi\) | |||||||
\(762\) | 48.6835 | − | 35.3707i | 1.76362 | − | 1.28134i | ||||
\(763\) | 25.8063 | − | 18.7494i | 0.934250 | − | 0.678772i | ||||
\(764\) | −19.2953 | − | 14.0189i | −0.698080 | − | 0.507185i | ||||
\(765\) | 21.2728 | + | 66.5913i | 0.769120 | + | 2.40761i | ||||
\(766\) | −26.6543 | + | 19.3655i | −0.963060 | + | 0.699704i | ||||
\(767\) | 4.21529 | − | 12.9733i | 0.152205 | − | 0.468440i | ||||
\(768\) | −2.99182 | −0.107958 | ||||||||
\(769\) | 6.27339 | − | 19.3075i | 0.226224 | − | 0.696246i | −0.771941 | − | 0.635694i | \(-0.780714\pi\) |
0.998165 | − | 0.0605520i | \(-0.0192861\pi\) | |||||||
\(770\) | −5.96821 | − | 18.6826i | −0.215079 | − | 0.673274i | ||||
\(771\) | 19.1438 | + | 58.9184i | 0.689446 | + | 2.12190i | ||||
\(772\) | 4.58412 | + | 14.1085i | 0.164986 | + | 0.507775i | ||||
\(773\) | −18.6497 | − | 13.5498i | −0.670784 | − | 0.487353i | 0.199503 | − | 0.979897i | \(-0.436067\pi\) |
−0.870288 | + | 0.492544i | \(0.836067\pi\) | |||||||
\(774\) | 3.14874 | 0.113179 | ||||||||
\(775\) | 12.4993 | − | 37.2107i | 0.448988 | − | 1.33665i | ||||
\(776\) | 0.171767 | 0.00616608 | ||||||||
\(777\) | −48.0323 | − | 34.8975i | −1.72315 | − | 1.25194i | ||||
\(778\) | 7.34457 | + | 22.6043i | 0.263316 | + | 0.810403i | ||||
\(779\) | 0.259783 | + | 0.799530i | 0.00930770 | + | 0.0286461i | ||||
\(780\) | −2.08901 | + | 6.32259i | −0.0747986 | + | 0.226385i | ||||
\(781\) | 7.09624 | − | 21.8400i | 0.253923 | − | 0.781495i | ||||
\(782\) | −19.4661 | −0.696108 | ||||||||
\(783\) | −2.17761 | + | 6.70198i | −0.0778213 | + | 0.239509i | ||||
\(784\) | 2.14024 | − | 1.55497i | 0.0764370 | − | 0.0555347i | ||||
\(785\) | 14.6641 | + | 0.0726258i | 0.523384 | + | 0.00259213i | ||||
\(786\) | −17.0647 | − | 12.3982i | −0.608676 | − | 0.442229i | ||||
\(787\) | 11.8788 | − | 8.63048i | 0.423435 | − | 0.307643i | −0.355584 | − | 0.934644i | \(-0.615718\pi\) |
0.779018 | + | 0.627001i | \(0.215718\pi\) | |||||||
\(788\) | −8.18141 | + | 5.94414i | −0.291451 | + | 0.211751i | ||||
\(789\) | 32.5489 | + | 23.6481i | 1.15877 | + | 0.841896i | ||||
\(790\) | 4.70344 | − | 14.2354i | 0.167341 | − | 0.506473i | ||||
\(791\) | −32.4767 | + | 23.5957i | −1.15474 | + | 0.838966i | ||||
\(792\) | −7.72952 | + | 23.7890i | −0.274657 | + | 0.845306i | ||||
\(793\) | −1.07535 | −0.0381867 | ||||||||
\(794\) | −1.99586 | + | 6.14261i | −0.0708303 | + | 0.217993i | ||||
\(795\) | −36.0137 | + | 25.8940i | −1.27728 | + | 0.918364i | ||||
\(796\) | −2.56973 | − | 7.90882i | −0.0910817 | − | 0.280321i | ||||
\(797\) | 12.5214 | + | 38.5370i | 0.443531 | + | 1.36505i | 0.884086 | + | 0.467324i | \(0.154782\pi\) |
−0.440555 | + | 0.897726i | \(0.645218\pi\) | |||||||
\(798\) | −5.05083 | − | 3.66964i | −0.178798 | − | 0.129904i | ||||
\(799\) | 22.9591 | 0.812233 | ||||||||
\(800\) | 4.99975 | + | 0.0495251i | 0.176768 | + | 0.00175098i | ||||
\(801\) | 19.2379 | 0.679738 | ||||||||
\(802\) | 19.0975 | + | 13.8752i | 0.674357 | + | 0.489949i | ||||
\(803\) | −11.3841 | − | 35.0365i | −0.401735 | − | 1.23641i | ||||
\(804\) | 7.09761 | + | 21.8442i | 0.250314 | + | 0.770386i | ||||
\(805\) | 13.9372 | + | 10.2318i | 0.491223 | + | 0.360625i | ||||
\(806\) | 2.41473 | − | 7.43178i | 0.0850553 | − | 0.261773i | ||||
\(807\) | 19.3949 | 0.682731 | ||||||||
\(808\) | −0.120246 | + | 0.370079i | −0.00423023 | + | 0.0130193i | ||||
\(809\) | −6.10991 | + | 4.43911i | −0.214813 | + | 0.156071i | −0.689989 | − | 0.723820i | \(-0.742384\pi\) |
0.475176 | + | 0.879891i | \(0.342384\pi\) | |||||||
\(810\) | −15.5428 | + | 11.1753i | −0.546118 | + | 0.392660i | ||||
\(811\) | 13.1024 | + | 9.51945i | 0.460087 | + | 0.334273i | 0.793566 | − | 0.608485i | \(-0.208222\pi\) |
−0.333478 | + | 0.942758i | \(0.608222\pi\) | |||||||
\(812\) | −1.34749 | + | 0.979008i | −0.0472876 | + | 0.0343564i | ||||
\(813\) | 26.0869 | − | 18.9532i | 0.914907 | − | 0.664719i | ||||
\(814\) | −32.3378 | − | 23.4948i | −1.13344 | − | 0.823492i | ||||
\(815\) | −9.45106 | + | 6.79534i | −0.331056 | + | 0.238030i | ||||
\(816\) | 12.7156 | − | 9.23845i | 0.445136 | − | 0.323411i | ||||
\(817\) | −0.163505 | + | 0.503217i | −0.00572032 | + | 0.0176053i | ||||
\(818\) | 1.79965 | 0.0629233 | ||||||||
\(819\) | 3.81957 | − | 11.7554i | 0.133466 | − | 0.410767i | ||||
\(820\) | 1.51531 | + | 1.11244i | 0.0529168 | + | 0.0388482i | ||||
\(821\) | 9.31218 | + | 28.6599i | 0.324997 | + | 1.00024i | 0.971442 | + | 0.237278i | \(0.0762551\pi\) |
−0.646445 | + | 0.762961i | \(0.723745\pi\) | |||||||
\(822\) | 16.6290 | + | 51.1787i | 0.580002 | + | 1.78506i | ||||
\(823\) | −15.9727 | − | 11.6049i | −0.556774 | − | 0.404520i | 0.273503 | − | 0.961871i | \(-0.411818\pi\) |
−0.830277 | + | 0.557351i | \(0.811818\pi\) | |||||||
\(824\) | 20.0081 | 0.697014 | ||||||||
\(825\) | 20.0212 | − | 59.6036i | 0.697050 | − | 2.07513i | ||||
\(826\) | 28.5984 | 0.995067 | ||||||||
\(827\) | 15.7355 | + | 11.4325i | 0.547176 | + | 0.397547i | 0.826743 | − | 0.562580i | \(-0.190191\pi\) |
−0.279567 | + | 0.960126i | \(0.590191\pi\) | |||||||
\(828\) | −6.81403 | − | 20.9714i | −0.236804 | − | 0.728808i | ||||
\(829\) | −10.4670 | − | 32.2140i | −0.363533 | − | 1.11884i | −0.950895 | − | 0.309514i | \(-0.899834\pi\) |
0.587362 | − | 0.809324i | \(-0.300166\pi\) | |||||||
\(830\) | −22.0398 | + | 15.8467i | −0.765012 | + | 0.550046i | ||||
\(831\) | 1.43224 | − | 4.40797i | 0.0496837 | − | 0.152911i | ||||
\(832\) | 0.995345 | 0.0345074 | ||||||||
\(833\) | −4.29469 | + | 13.2177i | −0.148802 | + | 0.457966i | ||||
\(834\) | −29.9037 | + | 21.7263i | −1.03548 | + | 0.752321i | ||||
\(835\) | −2.73711 | + | 8.28414i | −0.0947217 | + | 0.286685i | ||||
\(836\) | −3.40048 | − | 2.47059i | −0.117608 | − | 0.0854472i | ||||
\(837\) | 56.0751 | − | 40.7410i | 1.93824 | − | 1.40821i | ||||
\(838\) | −7.22811 | + | 5.25153i | −0.249691 | + | 0.181411i | ||||
\(839\) | 44.3345 | + | 32.2109i | 1.53060 | + | 1.11204i | 0.955907 | + | 0.293671i | \(0.0948769\pi\) |
0.574689 | + | 0.818372i | \(0.305123\pi\) | |||||||
\(840\) | −13.9600 | − | 0.0691387i | −0.481665 | − | 0.00238551i | ||||
\(841\) | 22.9461 | − | 16.6713i | 0.791244 | − | 0.574873i | ||||
\(842\) | 8.45097 | − | 26.0094i | 0.291240 | − | 0.896343i | ||||
\(843\) | 65.6768 | 2.26203 | ||||||||
\(844\) | −6.82887 | + | 21.0171i | −0.235059 | + | 0.723439i | ||||
\(845\) | −8.42460 | + | 25.4979i | −0.289815 | + | 0.877153i | ||||
\(846\) | 8.03672 | + | 24.7345i | 0.276308 | + | 0.850389i | ||||
\(847\) | 4.29921 | + | 13.2316i | 0.147723 | + | 0.454644i | ||||
\(848\) | 5.36406 | + | 3.89722i | 0.184202 | + | 0.133831i | ||||
\(849\) | −45.8937 | −1.57507 | ||||||||
\(850\) | −21.4026 | + | 15.2283i | −0.734103 | + | 0.522326i | ||||
\(851\) | 35.2374 | 1.20792 | ||||||||
\(852\) | −13.2238 | − | 9.60764i | −0.453039 | − | 0.329152i | ||||
\(853\) | 4.97072 | + | 15.2983i | 0.170194 | + | 0.523804i | 0.999381 | − | 0.0351672i | \(-0.0111964\pi\) |
−0.829187 | + | 0.558971i | \(0.811196\pi\) | |||||||
\(854\) | −0.696671 | − | 2.14413i | −0.0238396 | − | 0.0733707i | ||||
\(855\) | −4.04929 | − | 12.6757i | −0.138483 | − | 0.433500i | ||||
\(856\) | −4.24761 | + | 13.0728i | −0.145180 | + | 0.446819i | ||||
\(857\) | 2.84580 | 0.0972108 | 0.0486054 | − | 0.998818i | \(-0.484522\pi\) | ||||
0.0486054 | + | 0.998818i | \(0.484522\pi\) | |||||||
\(858\) | 3.86788 | − | 11.9041i | 0.132047 | − | 0.406400i | ||||
\(859\) | −32.6186 | + | 23.6988i | −1.11293 | + | 0.808592i | −0.983123 | − | 0.182948i | \(-0.941436\pi\) |
−0.129808 | + | 0.991539i | \(0.541436\pi\) | |||||||
\(860\) | 0.360031 | + | 1.12702i | 0.0122770 | + | 0.0384312i | ||||
\(861\) | −4.24611 | − | 3.08498i | −0.144707 | − | 0.105136i | ||||
\(862\) | 21.2738 | − | 15.4563i | 0.724587 | − | 0.526443i | ||||
\(863\) | −10.0678 | + | 7.31465i | −0.342710 | + | 0.248994i | −0.745805 | − | 0.666165i | \(-0.767935\pi\) |
0.403094 | + | 0.915159i | \(0.367935\pi\) | |||||||
\(864\) | 7.14262 | + | 5.18942i | 0.242997 | + | 0.176548i | ||||
\(865\) | 24.8310 | + | 18.2294i | 0.844280 | + | 0.619817i | ||||
\(866\) | 3.92748 | − | 2.85348i | 0.133461 | − | 0.0969651i | ||||
\(867\) | −9.79888 | + | 30.1579i | −0.332788 | + | 1.02421i | ||||
\(868\) | 16.3826 | 0.556062 | ||||||||
\(869\) | −8.70860 | + | 26.8023i | −0.295419 | + | 0.909206i | ||||
\(870\) | −5.33964 | − | 0.0264453i | −0.181031 | − | 0.000896578i | ||||
\(871\) | −2.36130 | − | 7.26733i | −0.0800096 | − | 0.246244i | ||||
\(872\) | −4.72367 | − | 14.5380i | −0.159964 | − | 0.492318i | ||||
\(873\) | −0.826962 | − | 0.600823i | −0.0279884 | − | 0.0203348i | ||||
\(874\) | 3.70539 | 0.125337 | ||||||||
\(875\) | 23.3280 | + | 0.346627i | 0.788630 | + | 0.0117181i | ||||
\(876\) | −26.2221 | −0.885963 | ||||||||
\(877\) | −38.4766 | − | 27.9549i | −1.29926 | − | 0.943971i | −0.299316 | − | 0.954154i | \(-0.596758\pi\) |
−0.999948 | + | 0.0101834i | \(0.996758\pi\) | |||||||
\(878\) | −11.8430 | − | 36.4490i | −0.399682 | − | 1.23010i | ||||
\(879\) | 15.6074 | + | 48.0346i | 0.526424 | + | 1.62017i | ||||
\(880\) | −9.39858 | − | 0.0465477i | −0.316826 | − | 0.00156912i | ||||
\(881\) | 6.82621 | − | 21.0089i | 0.229981 | − | 0.707808i | −0.767767 | − | 0.640729i | \(-0.778632\pi\) |
0.997748 | − | 0.0670789i | \(-0.0213679\pi\) | |||||||
\(882\) | −15.7432 | −0.530100 | ||||||||
\(883\) | 10.2477 | − | 31.5392i | 0.344862 | − | 1.06138i | −0.616795 | − | 0.787124i | \(-0.711569\pi\) |
0.961657 | − | 0.274253i | \(-0.0884307\pi\) | |||||||
\(884\) | −4.23036 | + | 3.07353i | −0.142282 | + | 0.103374i | ||||
\(885\) | 73.9058 | + | 54.2570i | 2.48432 | + | 1.82383i | ||||
\(886\) | −16.8676 | − | 12.2550i | −0.566679 | − | 0.411716i | ||||
\(887\) | −16.8312 | + | 12.2286i | −0.565136 | + | 0.410595i | −0.833335 | − | 0.552768i | \(-0.813571\pi\) |
0.268199 | + | 0.963363i | \(0.413571\pi\) | |||||||
\(888\) | −23.0178 | + | 16.7234i | −0.772425 | + | 0.561200i | ||||
\(889\) | −33.9561 | − | 24.6705i | −1.13885 | − | 0.827423i | ||||
\(890\) | 2.19969 | + | 6.88580i | 0.0737337 | + | 0.230812i | ||||
\(891\) | 29.1120 | − | 21.1511i | 0.975288 | − | 0.708588i | ||||
\(892\) | 1.51202 | − | 4.65353i | 0.0506263 | − | 0.155812i | ||||
\(893\) | −4.37027 | −0.146246 | ||||||||
\(894\) | 10.9448 | − | 33.6847i | 0.366050 | − | 1.12659i | ||||
\(895\) | −1.75857 | − | 5.50495i | −0.0587826 | − | 0.184010i | ||||
\(896\) | 0.644841 | + | 1.98462i | 0.0215426 | + | 0.0663014i | ||||
\(897\) | 3.40977 | + | 10.4942i | 0.113849 | + | 0.350391i | ||||
\(898\) | −11.6435 | − | 8.45948i | −0.388548 | − | 0.282297i | ||||
\(899\) | 6.26628 | 0.208992 | ||||||||
\(900\) | −23.8978 | − | 17.7270i | −0.796592 | − | 0.590901i | ||||
\(901\) | −34.8322 | −1.16043 | ||||||||
\(902\) | −2.85870 | − | 2.07697i | −0.0951843 | − | 0.0691555i | ||||
\(903\) | −1.02079 | − | 3.14167i | −0.0339698 | − | 0.104548i | ||||
\(904\) | 5.94465 | + | 18.2957i | 0.197716 | + | 0.608507i | ||||
\(905\) | 15.9909 | − | 48.3979i | 0.531554 | − | 1.60880i | ||||
\(906\) | −9.47357 | + | 29.1567i | −0.314738 | + | 0.968665i | ||||
\(907\) | 9.46430 | 0.314257 | 0.157128 | − | 0.987578i | \(-0.449776\pi\) | ||||
0.157128 | + | 0.987578i | \(0.449776\pi\) | |||||||
\(908\) | 3.29003 | − | 10.1257i | 0.109183 | − | 0.336032i | ||||
\(909\) | 1.87341 | − | 1.36111i | 0.0621371 | − | 0.0451453i | ||||
\(910\) | 4.64434 | + | 0.0230017i | 0.153958 | + | 0.000762498i | ||||
\(911\) | 46.2869 | + | 33.6294i | 1.53355 | + | 1.11419i | 0.954221 | + | 0.299102i | \(0.0966871\pi\) |
0.579333 | + | 0.815091i | \(0.303313\pi\) | |||||||
\(912\) | −2.42043 | + | 1.75855i | −0.0801485 | + | 0.0582313i | ||||
\(913\) | 41.2810 | − | 29.9924i | 1.36620 | − | 0.992604i | ||||
\(914\) | 34.2203 | + | 24.8625i | 1.13191 | + | 0.822377i | ||||
\(915\) | 2.26747 | − | 6.86273i | 0.0749603 | − | 0.226875i | ||||
\(916\) | 5.84062 | − | 4.24346i | 0.192980 | − | 0.140208i | ||||
\(917\) | −4.54629 | + | 13.9921i | −0.150132 | + | 0.462058i | ||||
\(918\) | −46.3816 | −1.53082 | ||||||||
\(919\) | 12.1881 | − | 37.5111i | 0.402048 | − | 1.23738i | −0.521287 | − | 0.853381i | \(-0.674548\pi\) |
0.923335 | − | 0.383995i | \(-0.125452\pi\) | |||||||
\(920\) | 6.72715 | − | 4.83684i | 0.221788 | − | 0.159466i | ||||
\(921\) | −28.0092 | − | 86.2034i | −0.922934 | − | 2.84050i | ||||
\(922\) | 0.406375 | + | 1.25069i | 0.0133832 | + | 0.0411894i | ||||
\(923\) | 4.39941 | + | 3.19636i | 0.144808 | + | 0.105209i | ||||
\(924\) | 26.2415 | 0.863280 | ||||||||
\(925\) | 38.7428 | − | 27.5661i | 1.27386 | − | 0.906369i | ||||
\(926\) | −4.26776 | −0.140247 | ||||||||
\(927\) | −96.3276 | − | 69.9861i | −3.16381 | − | 2.29865i | ||||
\(928\) | 0.246649 | + | 0.759108i | 0.00809665 | + | 0.0249189i | ||||
\(929\) | 9.99935 | + | 30.7748i | 0.328068 | + | 1.00969i | 0.970037 | + | 0.242959i | \(0.0781179\pi\) |
−0.641969 | + | 0.766731i | \(0.721882\pi\) | |||||||
\(930\) | 42.3370 | + | 31.0811i | 1.38828 | + | 1.01919i | ||||
\(931\) | 0.817497 | − | 2.51600i | 0.0267924 | − | 0.0824585i | ||||
\(932\) | 7.52498 | 0.246489 | ||||||||
\(933\) | 22.9639 | − | 70.6757i | 0.751805 | − | 2.31382i | ||||
\(934\) | 1.20181 | − | 0.873170i | 0.0393246 | − | 0.0285710i | ||||
\(935\) | 40.0890 | − | 28.8241i | 1.31105 | − | 0.942649i | ||||
\(936\) | −4.79202 | − | 3.48161i | −0.156632 | − | 0.113800i | ||||
\(937\) | −41.1466 | + | 29.8948i | −1.34420 | + | 0.976620i | −0.344924 | + | 0.938631i | \(0.612095\pi\) |
−0.999278 | + | 0.0379897i | \(0.987905\pi\) | |||||||
\(938\) | 12.9605 | − | 9.41638i | 0.423176 | − | 0.307456i | ||||
\(939\) | 33.8654 | + | 24.6046i | 1.10515 | + | 0.802942i | ||||
\(940\) | −7.93425 | + | 5.70475i | −0.258787 | + | 0.186068i | ||||
\(941\) | −13.8597 | + | 10.0697i | −0.451813 | + | 0.328261i | −0.790311 | − | 0.612706i | \(-0.790081\pi\) |
0.338498 | + | 0.940967i | \(0.390081\pi\) | |||||||
\(942\) | −6.06307 | + | 18.6602i | −0.197546 | + | 0.607983i | ||||
\(943\) | 3.11503 | 0.101439 | ||||||||
\(944\) | 4.23501 | − | 13.0340i | 0.137838 | − | 0.424221i | ||||
\(945\) | 33.2079 | + | 24.3792i | 1.08025 | + | 0.793055i | ||||
\(946\) | −0.687249 | − | 2.11513i | −0.0223444 | − | 0.0687689i | ||||
\(947\) | −3.54337 | − | 10.9054i | −0.115144 | − | 0.354377i | 0.876833 | − | 0.480795i | \(-0.159652\pi\) |
−0.991977 | + | 0.126418i | \(0.959652\pi\) | |||||||
\(948\) | 16.2284 | + | 11.7906i | 0.527074 | + | 0.382942i | ||||
\(949\) | 8.72381 | 0.283187 | ||||||||
\(950\) | 4.07400 | − | 2.89872i | 0.132178 | − | 0.0940467i | ||||
\(951\) | −48.5060 | −1.57292 | ||||||||
\(952\) | −8.86898 | − | 6.44369i | −0.287445 | − | 0.208841i | ||||
\(953\) | 9.66371 | + | 29.7418i | 0.313038 | + | 0.963433i | 0.976554 | + | 0.215271i | \(0.0690634\pi\) |
−0.663516 | + | 0.748162i | \(0.730937\pi\) | |||||||
\(954\) | −12.1929 | − | 37.5258i | −0.394759 | − | 1.21494i | ||||
\(955\) | −43.3003 | + | 31.1331i | −1.40117 | + | 1.00744i | ||||
\(956\) | 7.80412 | − | 24.0186i | 0.252403 | − | 0.776818i | ||||
\(957\) | 10.0372 | 0.324458 | ||||||||
\(958\) | 9.96187 | − | 30.6595i | 0.321853 | − | 0.990563i | ||||
\(959\) | 30.3652 | − | 22.0616i | 0.980543 | − | 0.712407i | ||||
\(960\) | −2.09878 | + | 6.35216i | −0.0677378 | + | 0.205015i | ||||
\(961\) | −24.7840 | − | 18.0067i | −0.799485 | − | 0.580860i | ||||
\(962\) | 7.65776 | − | 5.56369i | 0.246896 | − | 0.179380i | ||||
\(963\) | 66.1771 | − | 48.0805i | 2.13253 | − | 1.54937i | ||||
\(964\) | 12.8572 | + | 9.34127i | 0.414101 | + | 0.300862i | ||||
\(965\) | 33.1706 | + | 0.164282i | 1.06780 | + | 0.00528841i | ||||
\(966\) | −18.7153 | + | 13.5975i | −0.602155 | + | 0.437491i | ||||
\(967\) | 14.9149 | − | 45.9033i | 0.479630 | − | 1.47615i | −0.359980 | − | 0.932960i | \(-0.617216\pi\) |
0.839610 | − | 0.543190i | \(-0.182784\pi\) | |||||||
\(968\) | 6.66709 | 0.214288 | ||||||||
\(969\) | 4.85694 | − | 14.9481i | 0.156027 | − | 0.480203i | ||||
\(970\) | 0.120496 | − | 0.364692i | 0.00386889 | − | 0.0117096i | ||||
\(971\) | −1.80283 | − | 5.54854i | −0.0578556 | − | 0.178061i | 0.917952 | − | 0.396691i | \(-0.129841\pi\) |
−0.975808 | + | 0.218629i | \(0.929841\pi\) | |||||||
\(972\) | 0.269752 | + | 0.830212i | 0.00865230 | + | 0.0266291i | ||||
\(973\) | 20.8574 | + | 15.1538i | 0.668658 | + | 0.485809i | ||||
\(974\) | 28.2127 | 0.903994 | ||||||||
\(975\) | 11.9585 | + | 8.87068i | 0.382980 | + | 0.284089i | ||||
\(976\) | −1.08038 | −0.0345820 | ||||||||
\(977\) | −36.9032 | − | 26.8117i | −1.18064 | − | 0.857784i | −0.188395 | − | 0.982093i | \(-0.560328\pi\) |
−0.992243 | + | 0.124310i | \(0.960328\pi\) | |||||||
\(978\) | −4.81283 | − | 14.8124i | −0.153897 | − | 0.473648i | ||||
\(979\) | −4.19889 | − | 12.9229i | −0.134197 | − | 0.413016i | ||||
\(980\) | −1.80009 | − | 5.63493i | −0.0575019 | − | 0.180001i | ||||
\(981\) | −28.1104 | + | 86.5150i | −0.897497 | + | 2.76221i | ||||
\(982\) | −22.2399 | −0.709703 | ||||||||
\(983\) | −3.94684 | + | 12.1471i | −0.125885 | + | 0.387433i | −0.994061 | − | 0.108822i | \(-0.965292\pi\) |
0.868177 | + | 0.496255i | \(0.165292\pi\) | |||||||
\(984\) | −2.03480 | + | 1.47837i | −0.0648670 | + | 0.0471286i | ||||
\(985\) | 6.88116 | + | 21.5405i | 0.219252 | + | 0.686336i | ||||
\(986\) | −3.39235 | − | 2.46468i | −0.108034 | − | 0.0784916i | ||||
\(987\) | 22.0735 | − | 16.0373i | 0.702608 | − | 0.510474i | ||||
\(988\) | 0.805251 | − | 0.585049i | 0.0256184 | − | 0.0186129i | ||||
\(989\) | 1.58614 | + | 1.15240i | 0.0504362 | + | 0.0366441i | ||||
\(990\) | 45.0860 | + | 33.0993i | 1.43293 | + | 1.05197i | ||||
\(991\) | −26.8510 | + | 19.5084i | −0.852951 | + | 0.619705i | −0.925958 | − | 0.377626i | \(-0.876740\pi\) |
0.0730070 | + | 0.997331i | \(0.476740\pi\) | |||||||
\(992\) | 2.42602 | − | 7.46654i | 0.0770264 | − | 0.237063i | ||||
\(993\) | 82.6695 | 2.62344 | ||||||||
\(994\) | −3.52303 | + | 10.8428i | −0.111744 | + | 0.343911i | ||||
\(995\) | −18.5945 | − | 0.0920918i | −0.589486 | − | 0.00291951i | ||||
\(996\) | −11.2235 | − | 34.5423i | −0.355630 | − | 1.09452i | ||||
\(997\) | 10.1130 | + | 31.1245i | 0.320281 | + | 0.985724i | 0.973526 | + | 0.228577i | \(0.0734072\pi\) |
−0.653245 | + | 0.757147i | \(0.726593\pi\) | |||||||
\(998\) | −19.1914 | − | 13.9434i | −0.607494 | − | 0.441370i | ||||
\(999\) | 83.9596 | 2.65636 |
(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 | 950.2.h.c.191.1 | ✓ | 44 | |
25.11 | even | 5 | inner | 950.2.h.c.761.1 | yes | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.h.c.191.1 | ✓ | 44 | 1.1 | even | 1 | trivial | |
950.2.h.c.761.1 | yes | 44 | 25.11 | even | 5 | inner |