Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 5 x^{19} + 8 x^{18} - 32 x^{17} + 277 x^{16} - 1138 x^{15} + 2950 x^{14} - 6404 x^{13} + 24088 x^{12} - 93423 x^{11} + 318055 x^{10} - 798006 x^{9} + 1869818 x^{8} + \cdots + 7921 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 361.2 | ||
Root | \(-0.764548 + 1.67413i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 690.361 |
Dual form | 690.2.m.d.151.2 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{4}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.654861 | + | 0.755750i | −0.463056 | + | 0.534396i | ||||
\(3\) | −0.841254 | + | 0.540641i | −0.485698 | + | 0.312139i | ||||
\(4\) | −0.142315 | − | 0.989821i | −0.0711574 | − | 0.494911i | ||||
\(5\) | −0.415415 | − | 0.909632i | −0.185779 | − | 0.406800i | ||||
\(6\) | 0.142315 | − | 0.989821i | 0.0580998 | − | 0.404093i | ||||
\(7\) | 4.58950 | − | 1.34760i | 1.73467 | − | 0.509344i | 0.746854 | − | 0.664988i | \(-0.231563\pi\) |
0.987813 | + | 0.155643i | \(0.0497451\pi\) | |||||||
\(8\) | 0.841254 | + | 0.540641i | 0.297428 | + | 0.191145i | ||||
\(9\) | 0.415415 | − | 0.909632i | 0.138472 | − | 0.303211i | ||||
\(10\) | 0.959493 | + | 0.281733i | 0.303418 | + | 0.0890917i | ||||
\(11\) | −0.612128 | − | 0.706433i | −0.184563 | − | 0.212998i | 0.655926 | − | 0.754825i | \(-0.272278\pi\) |
−0.840490 | + | 0.541827i | \(0.817733\pi\) | |||||||
\(12\) | 0.654861 | + | 0.755750i | 0.189042 | + | 0.218166i | ||||
\(13\) | −6.39358 | − | 1.87733i | −1.77326 | − | 0.520676i | −0.778940 | − | 0.627098i | \(-0.784242\pi\) |
−0.994321 | + | 0.106422i | \(0.966061\pi\) | |||||||
\(14\) | −1.98704 | + | 4.35100i | −0.531058 | + | 1.16285i | ||||
\(15\) | 0.841254 | + | 0.540641i | 0.217211 | + | 0.139593i | ||||
\(16\) | −0.959493 | + | 0.281733i | −0.239873 | + | 0.0704331i | ||||
\(17\) | −0.0823460 | + | 0.572729i | −0.0199718 | + | 0.138907i | −0.997368 | − | 0.0725104i | \(-0.976899\pi\) |
0.977396 | + | 0.211418i | \(0.0678080\pi\) | |||||||
\(18\) | 0.415415 | + | 0.909632i | 0.0979143 | + | 0.214402i | ||||
\(19\) | −1.08920 | − | 7.57554i | −0.249879 | − | 1.73795i | −0.598892 | − | 0.800829i | \(-0.704392\pi\) |
0.349013 | − | 0.937118i | \(-0.386517\pi\) | |||||||
\(20\) | −0.841254 | + | 0.540641i | −0.188110 | + | 0.120891i | ||||
\(21\) | −3.13237 | + | 3.61494i | −0.683538 | + | 0.788845i | ||||
\(22\) | 0.934745 | 0.199288 | ||||||||
\(23\) | −3.66179 | + | 3.09698i | −0.763536 | + | 0.645766i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | −0.654861 | + | 0.755750i | −0.130972 | + | 0.151150i | ||||
\(26\) | 5.60569 | − | 3.60256i | 1.09937 | − | 0.706520i | ||||
\(27\) | 0.142315 | + | 0.989821i | 0.0273885 | + | 0.190491i | ||||
\(28\) | −1.98704 | − | 4.35100i | −0.375514 | − | 0.822262i | ||||
\(29\) | −0.183105 | + | 1.27353i | −0.0340018 | + | 0.236488i | −0.999734 | − | 0.0230518i | \(-0.992662\pi\) |
0.965732 | + | 0.259540i | \(0.0835708\pi\) | |||||||
\(30\) | −0.959493 | + | 0.281733i | −0.175179 | + | 0.0514371i | ||||
\(31\) | −2.87363 | − | 1.84677i | −0.516120 | − | 0.331690i | 0.256516 | − | 0.966540i | \(-0.417426\pi\) |
−0.772635 | + | 0.634850i | \(0.781062\pi\) | |||||||
\(32\) | 0.415415 | − | 0.909632i | 0.0734357 | − | 0.160802i | ||||
\(33\) | 0.896881 | + | 0.263348i | 0.156127 | + | 0.0458430i | ||||
\(34\) | −0.378915 | − | 0.437291i | −0.0649833 | − | 0.0749948i | ||||
\(35\) | −3.13237 | − | 3.61494i | −0.529466 | − | 0.611037i | ||||
\(36\) | −0.959493 | − | 0.281733i | −0.159915 | − | 0.0469554i | ||||
\(37\) | 1.16563 | − | 2.55238i | 0.191629 | − | 0.419609i | −0.789291 | − | 0.614019i | \(-0.789552\pi\) |
0.980920 | + | 0.194410i | \(0.0622792\pi\) | |||||||
\(38\) | 6.43848 | + | 4.13776i | 1.04446 | + | 0.671233i | ||||
\(39\) | 6.39358 | − | 1.87733i | 1.02379 | − | 0.300613i | ||||
\(40\) | 0.142315 | − | 0.989821i | 0.0225020 | − | 0.156505i | ||||
\(41\) | −3.53174 | − | 7.73343i | −0.551565 | − | 1.20776i | −0.956047 | − | 0.293213i | \(-0.905275\pi\) |
0.404482 | − | 0.914546i | \(-0.367452\pi\) | |||||||
\(42\) | −0.680728 | − | 4.73457i | −0.105039 | − | 0.730560i | ||||
\(43\) | 7.18103 | − | 4.61497i | 1.09510 | − | 0.703776i | 0.137100 | − | 0.990557i | \(-0.456222\pi\) |
0.957996 | + | 0.286781i | \(0.0925853\pi\) | |||||||
\(44\) | −0.612128 | + | 0.706433i | −0.0922817 | + | 0.106499i | ||||
\(45\) | −1.00000 | −0.149071 | ||||||||
\(46\) | 0.0574180 | − | 4.79549i | 0.00846583 | − | 0.707056i | ||||
\(47\) | 1.94160 | 0.283211 | 0.141605 | − | 0.989923i | \(-0.454774\pi\) | ||||
0.141605 | + | 0.989923i | \(0.454774\pi\) | |||||||
\(48\) | 0.654861 | − | 0.755750i | 0.0945210 | − | 0.109083i | ||||
\(49\) | 13.3587 | − | 8.58512i | 1.90839 | − | 1.22645i | ||||
\(50\) | −0.142315 | − | 0.989821i | −0.0201264 | − | 0.139982i | ||||
\(51\) | −0.240367 | − | 0.526330i | −0.0336581 | − | 0.0737010i | ||||
\(52\) | −0.948315 | + | 6.59568i | −0.131508 | + | 0.914656i | ||||
\(53\) | 9.10767 | − | 2.67425i | 1.25103 | − | 0.367337i | 0.411884 | − | 0.911236i | \(-0.364871\pi\) |
0.839151 | + | 0.543899i | \(0.183053\pi\) | |||||||
\(54\) | −0.841254 | − | 0.540641i | −0.114480 | − | 0.0735719i | ||||
\(55\) | −0.388307 | + | 0.850274i | −0.0523593 | + | 0.114651i | ||||
\(56\) | 4.58950 | + | 1.34760i | 0.613298 | + | 0.180080i | ||||
\(57\) | 5.01194 | + | 5.78408i | 0.663847 | + | 0.766120i | ||||
\(58\) | −0.842558 | − | 0.972364i | −0.110633 | − | 0.127678i | ||||
\(59\) | −10.8918 | − | 3.19813i | −1.41799 | − | 0.416361i | −0.519171 | − | 0.854670i | \(-0.673759\pi\) |
−0.898824 | + | 0.438310i | \(0.855577\pi\) | |||||||
\(60\) | 0.415415 | − | 0.909632i | 0.0536298 | − | 0.117433i | ||||
\(61\) | −3.05825 | − | 1.96542i | −0.391569 | − | 0.251646i | 0.330011 | − | 0.943977i | \(-0.392947\pi\) |
−0.721580 | + | 0.692331i | \(0.756584\pi\) | |||||||
\(62\) | 3.27753 | − | 0.962369i | 0.416246 | − | 0.122221i | ||||
\(63\) | 0.680728 | − | 4.73457i | 0.0857637 | − | 0.596499i | ||||
\(64\) | 0.415415 | + | 0.909632i | 0.0519269 | + | 0.113704i | ||||
\(65\) | 0.948315 | + | 6.59568i | 0.117624 | + | 0.818093i | ||||
\(66\) | −0.786357 | + | 0.505361i | −0.0967939 | + | 0.0622057i | ||||
\(67\) | 6.31204 | − | 7.28449i | 0.771139 | − | 0.889942i | −0.225297 | − | 0.974290i | \(-0.572335\pi\) |
0.996436 | + | 0.0843483i | \(0.0268808\pi\) | |||||||
\(68\) | 0.578619 | 0.0701678 | ||||||||
\(69\) | 1.40614 | − | 4.58506i | 0.169279 | − | 0.551976i | ||||
\(70\) | 4.78325 | 0.571708 | ||||||||
\(71\) | −6.65447 | + | 7.67967i | −0.789740 | + | 0.911409i | −0.997772 | − | 0.0667133i | \(-0.978749\pi\) |
0.208032 | + | 0.978122i | \(0.433294\pi\) | |||||||
\(72\) | 0.841254 | − | 0.540641i | 0.0991427 | − | 0.0637151i | ||||
\(73\) | 1.83935 | + | 12.7930i | 0.215280 | + | 1.49731i | 0.755147 | + | 0.655556i | \(0.227566\pi\) |
−0.539867 | + | 0.841751i | \(0.681525\pi\) | |||||||
\(74\) | 1.16563 | + | 2.55238i | 0.135502 | + | 0.296708i | ||||
\(75\) | 0.142315 | − | 0.989821i | 0.0164331 | − | 0.114295i | ||||
\(76\) | −7.34342 | + | 2.15622i | −0.842348 | + | 0.247336i | ||||
\(77\) | −3.76135 | − | 2.41727i | −0.428645 | − | 0.275474i | ||||
\(78\) | −2.76812 | + | 6.06133i | −0.313428 | + | 0.686311i | ||||
\(79\) | 4.08923 | + | 1.20071i | 0.460075 | + | 0.135090i | 0.503553 | − | 0.863964i | \(-0.332026\pi\) |
−0.0434784 | + | 0.999054i | \(0.513844\pi\) | |||||||
\(80\) | 0.654861 | + | 0.755750i | 0.0732157 | + | 0.0844954i | ||||
\(81\) | −0.654861 | − | 0.755750i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | 8.15734 | + | 2.39521i | 0.900827 | + | 0.264507i | ||||
\(83\) | −1.13386 | + | 2.48281i | −0.124457 | + | 0.272524i | −0.961597 | − | 0.274466i | \(-0.911499\pi\) |
0.837139 | + | 0.546990i | \(0.184226\pi\) | |||||||
\(84\) | 4.02393 | + | 2.58602i | 0.439047 | + | 0.282158i | ||||
\(85\) | 0.555181 | − | 0.163016i | 0.0602178 | − | 0.0176815i | ||||
\(86\) | −1.21481 | + | 8.44922i | −0.130997 | + | 0.911103i | ||||
\(87\) | −0.534482 | − | 1.17035i | −0.0573025 | − | 0.125475i | ||||
\(88\) | −0.133028 | − | 0.925231i | −0.0141808 | − | 0.0986299i | ||||
\(89\) | 2.33801 | − | 1.50255i | 0.247828 | − | 0.159270i | −0.410830 | − | 0.911712i | \(-0.634761\pi\) |
0.658658 | + | 0.752443i | \(0.271125\pi\) | |||||||
\(90\) | 0.654861 | − | 0.755750i | 0.0690284 | − | 0.0796630i | ||||
\(91\) | −31.8732 | −3.34122 | ||||||||
\(92\) | 3.58659 | + | 3.18377i | 0.373928 | + | 0.331931i | ||||
\(93\) | 3.41590 | 0.354212 | ||||||||
\(94\) | −1.27148 | + | 1.46736i | −0.131143 | + | 0.151347i | ||||
\(95\) | −6.43848 | + | 4.13776i | −0.660574 | + | 0.424525i | ||||
\(96\) | 0.142315 | + | 0.989821i | 0.0145249 | + | 0.101023i | ||||
\(97\) | −2.27350 | − | 4.97827i | −0.230839 | − | 0.505466i | 0.758398 | − | 0.651792i | \(-0.225982\pi\) |
−0.989236 | + | 0.146326i | \(0.953255\pi\) | |||||||
\(98\) | −2.25989 | + | 15.7179i | −0.228284 | + | 1.58775i | ||||
\(99\) | −0.896881 | + | 0.263348i | −0.0901399 | + | 0.0264675i | ||||
\(100\) | 0.841254 | + | 0.540641i | 0.0841254 | + | 0.0540641i | ||||
\(101\) | 7.36636 | − | 16.1301i | 0.732980 | − | 1.60500i | −0.0617886 | − | 0.998089i | \(-0.519680\pi\) |
0.794768 | − | 0.606913i | \(-0.207592\pi\) | |||||||
\(102\) | 0.555181 | + | 0.163016i | 0.0549711 | + | 0.0161410i | ||||
\(103\) | 9.44461 | + | 10.8997i | 0.930606 | + | 1.07398i | 0.997093 | + | 0.0761888i | \(0.0242752\pi\) |
−0.0664879 | + | 0.997787i | \(0.521179\pi\) | |||||||
\(104\) | −4.36367 | − | 5.03594i | −0.427893 | − | 0.493814i | ||||
\(105\) | 4.58950 | + | 1.34760i | 0.447889 | + | 0.131512i | ||||
\(106\) | −3.94319 | + | 8.63438i | −0.382997 | + | 0.838645i | ||||
\(107\) | 2.57469 | + | 1.65465i | 0.248905 | + | 0.159961i | 0.659144 | − | 0.752016i | \(-0.270919\pi\) |
−0.410240 | + | 0.911978i | \(0.634555\pi\) | |||||||
\(108\) | 0.959493 | − | 0.281733i | 0.0923273 | − | 0.0271097i | ||||
\(109\) | −0.000794403 | 0.00552520i | −7.60900e−5 | 0.000529218i | −0.989859 | − | 0.142050i | \(-0.954631\pi\) | ||
0.989783 | + | 0.142579i | \(0.0455396\pi\) | |||||||
\(110\) | −0.388307 | − | 0.850274i | −0.0370236 | − | 0.0810704i | ||||
\(111\) | 0.399328 | + | 2.77739i | 0.0379025 | + | 0.263618i | ||||
\(112\) | −4.02393 | + | 2.58602i | −0.380226 | + | 0.244356i | ||||
\(113\) | 2.74614 | − | 3.16921i | 0.258335 | − | 0.298134i | −0.611735 | − | 0.791063i | \(-0.709528\pi\) |
0.870070 | + | 0.492929i | \(0.164074\pi\) | |||||||
\(114\) | −7.65344 | −0.716810 | ||||||||
\(115\) | 4.33828 | + | 2.04435i | 0.404546 | + | 0.190636i | ||||
\(116\) | 1.28662 | 0.119460 | ||||||||
\(117\) | −4.36367 | + | 5.03594i | −0.403421 | + | 0.465573i | ||||
\(118\) | 9.54961 | − | 6.13716i | 0.879113 | − | 0.564972i | ||||
\(119\) | 0.393882 | + | 2.73951i | 0.0361071 | + | 0.251130i | ||||
\(120\) | 0.415415 | + | 0.909632i | 0.0379220 | + | 0.0830377i | ||||
\(121\) | 1.44112 | − | 10.0232i | 0.131011 | − | 0.911198i | ||||
\(122\) | 3.48809 | − | 1.02420i | 0.315797 | − | 0.0927263i | ||||
\(123\) | 7.15210 | + | 4.59637i | 0.644883 | + | 0.414441i | ||||
\(124\) | −1.41901 | + | 3.10721i | −0.127431 | + | 0.279035i | ||||
\(125\) | 0.959493 | + | 0.281733i | 0.0858197 | + | 0.0251989i | ||||
\(126\) | 3.13237 | + | 3.61494i | 0.279053 | + | 0.322045i | ||||
\(127\) | −10.0424 | − | 11.5896i | −0.891123 | − | 1.02841i | −0.999412 | − | 0.0342909i | \(-0.989083\pi\) |
0.108289 | − | 0.994119i | \(-0.465463\pi\) | |||||||
\(128\) | −0.959493 | − | 0.281733i | −0.0848080 | − | 0.0249019i | ||||
\(129\) | −3.54603 | + | 7.76471i | −0.312210 | + | 0.683645i | ||||
\(130\) | −5.60569 | − | 3.60256i | −0.491652 | − | 0.315966i | ||||
\(131\) | −16.3944 | + | 4.81382i | −1.43238 | + | 0.420586i | −0.903675 | − | 0.428218i | \(-0.859141\pi\) |
−0.528708 | + | 0.848804i | \(0.677323\pi\) | |||||||
\(132\) | 0.133028 | − | 0.925231i | 0.0115786 | − | 0.0805310i | ||||
\(133\) | −15.2077 | − | 33.3001i | −1.31867 | − | 2.88749i | ||||
\(134\) | 1.37174 | + | 9.54065i | 0.118500 | + | 0.824187i | ||||
\(135\) | 0.841254 | − | 0.540641i | 0.0724036 | − | 0.0465310i | ||||
\(136\) | −0.378915 | + | 0.437291i | −0.0324917 | + | 0.0374974i | ||||
\(137\) | 13.1523 | 1.12368 | 0.561839 | − | 0.827246i | \(-0.310094\pi\) | ||||
0.561839 | + | 0.827246i | \(0.310094\pi\) | |||||||
\(138\) | 2.54433 | + | 4.06526i | 0.216588 | + | 0.346058i | ||||
\(139\) | −9.29892 | −0.788724 | −0.394362 | − | 0.918955i | \(-0.629034\pi\) | ||||
−0.394362 | + | 0.918955i | \(0.629034\pi\) | |||||||
\(140\) | −3.13237 | + | 3.61494i | −0.264733 | + | 0.305518i | ||||
\(141\) | −1.63337 | + | 1.04971i | −0.137555 | + | 0.0884012i | ||||
\(142\) | −1.44615 | − | 10.0582i | −0.121359 | − | 0.844067i | ||||
\(143\) | 2.58748 | + | 5.66580i | 0.216376 | + | 0.473798i | ||||
\(144\) | −0.142315 | + | 0.989821i | −0.0118596 | + | 0.0824851i | ||||
\(145\) | 1.23450 | − | 0.362483i | 0.102520 | − | 0.0301026i | ||||
\(146\) | −10.8728 | − | 6.98754i | −0.899841 | − | 0.578293i | ||||
\(147\) | −6.59659 | + | 14.4445i | −0.544078 | + | 1.19136i | ||||
\(148\) | −2.69229 | − | 0.790527i | −0.221305 | − | 0.0649809i | ||||
\(149\) | 3.01872 | + | 3.48379i | 0.247303 | + | 0.285403i | 0.865806 | − | 0.500379i | \(-0.166806\pi\) |
−0.618503 | + | 0.785782i | \(0.712261\pi\) | |||||||
\(150\) | 0.654861 | + | 0.755750i | 0.0534692 | + | 0.0617067i | ||||
\(151\) | −5.36177 | − | 1.57436i | −0.436334 | − | 0.128119i | 0.0561859 | − | 0.998420i | \(-0.482106\pi\) |
−0.492520 | + | 0.870301i | \(0.663924\pi\) | |||||||
\(152\) | 3.17935 | − | 6.96181i | 0.257880 | − | 0.564677i | ||||
\(153\) | 0.486765 | + | 0.312825i | 0.0393526 | + | 0.0252904i | ||||
\(154\) | 4.29001 | − | 1.25966i | 0.345699 | − | 0.101506i | ||||
\(155\) | −0.486133 | + | 3.38113i | −0.0390471 | + | 0.271579i | ||||
\(156\) | −2.76812 | − | 6.06133i | −0.221627 | − | 0.485295i | ||||
\(157\) | 1.30394 | + | 9.06908i | 0.104065 | + | 0.723791i | 0.973324 | + | 0.229434i | \(0.0736875\pi\) |
−0.869259 | + | 0.494357i | \(0.835403\pi\) | |||||||
\(158\) | −3.58531 | + | 2.30414i | −0.285232 | + | 0.183308i | ||||
\(159\) | −6.21605 | + | 7.17370i | −0.492965 | + | 0.568912i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | −12.6323 | + | 19.1482i | −0.995564 | + | 1.50909i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | −8.94025 | + | 10.3176i | −0.700254 | + | 0.808137i | −0.988787 | − | 0.149334i | \(-0.952287\pi\) |
0.288533 | + | 0.957470i | \(0.406833\pi\) | |||||||
\(164\) | −7.15210 | + | 4.59637i | −0.558485 | + | 0.358917i | ||||
\(165\) | −0.133028 | − | 0.925231i | −0.0103562 | − | 0.0720291i | ||||
\(166\) | −1.13386 | − | 2.48281i | −0.0880047 | − | 0.192703i | ||||
\(167\) | −2.67094 | + | 18.5768i | −0.206683 | + | 1.43751i | 0.577198 | + | 0.816604i | \(0.304146\pi\) |
−0.783882 | + | 0.620910i | \(0.786763\pi\) | |||||||
\(168\) | −4.58950 | + | 1.34760i | −0.354088 | + | 0.103969i | ||||
\(169\) | 26.4173 | + | 16.9773i | 2.03210 | + | 1.30595i | ||||
\(170\) | −0.240367 | + | 0.526330i | −0.0184353 | + | 0.0403677i | ||||
\(171\) | −7.34342 | − | 2.15622i | −0.561565 | − | 0.164890i | ||||
\(172\) | −5.58996 | − | 6.45116i | −0.426230 | − | 0.491896i | ||||
\(173\) | −2.86818 | − | 3.31006i | −0.218064 | − | 0.251659i | 0.636169 | − | 0.771550i | \(-0.280518\pi\) |
−0.854233 | + | 0.519891i | \(0.825973\pi\) | |||||||
\(174\) | 1.23450 | + | 0.362483i | 0.0935876 | + | 0.0274798i | ||||
\(175\) | −1.98704 | + | 4.35100i | −0.150206 | + | 0.328905i | ||||
\(176\) | 0.786357 | + | 0.505361i | 0.0592739 | + | 0.0380930i | ||||
\(177\) | 10.8918 | − | 3.19813i | 0.818680 | − | 0.240386i | ||||
\(178\) | −0.395521 | + | 2.75091i | −0.0296455 | + | 0.206189i | ||||
\(179\) | −0.193368 | − | 0.423416i | −0.0144530 | − | 0.0316476i | 0.902268 | − | 0.431176i | \(-0.141901\pi\) |
−0.916721 | + | 0.399528i | \(0.869174\pi\) | |||||||
\(180\) | 0.142315 | + | 0.989821i | 0.0106075 | + | 0.0737769i | ||||
\(181\) | 9.50365 | − | 6.10762i | 0.706401 | − | 0.453976i | −0.137482 | − | 0.990504i | \(-0.543901\pi\) |
0.843882 | + | 0.536528i | \(0.180265\pi\) | |||||||
\(182\) | 20.8725 | − | 24.0882i | 1.54717 | − | 1.78553i | ||||
\(183\) | 3.63535 | 0.268733 | ||||||||
\(184\) | −4.75485 | + | 0.625635i | −0.350532 | + | 0.0461225i | ||||
\(185\) | −2.80595 | −0.206297 | ||||||||
\(186\) | −2.23694 | + | 2.58156i | −0.164020 | + | 0.189289i | ||||
\(187\) | 0.455001 | − | 0.292411i | 0.0332730 | − | 0.0213832i | ||||
\(188\) | −0.276318 | − | 1.92183i | −0.0201526 | − | 0.140164i | ||||
\(189\) | 1.98704 | + | 4.35100i | 0.144536 | + | 0.316489i | ||||
\(190\) | 1.08920 | − | 7.57554i | 0.0790187 | − | 0.549587i | ||||
\(191\) | 20.6288 | − | 6.05717i | 1.49265 | − | 0.438281i | 0.569264 | − | 0.822155i | \(-0.307228\pi\) |
0.923386 | + | 0.383874i | \(0.125410\pi\) | |||||||
\(192\) | −0.841254 | − | 0.540641i | −0.0607122 | − | 0.0390174i | ||||
\(193\) | −4.74279 | + | 10.3853i | −0.341393 | + | 0.747547i | −0.999988 | − | 0.00495092i | \(-0.998424\pi\) |
0.658594 | + | 0.752498i | \(0.271151\pi\) | |||||||
\(194\) | 5.25115 | + | 1.54188i | 0.377010 | + | 0.110700i | ||||
\(195\) | −4.36367 | − | 5.03594i | −0.312489 | − | 0.360631i | ||||
\(196\) | −10.3989 | − | 12.0009i | −0.742777 | − | 0.857210i | ||||
\(197\) | 6.99875 | + | 2.05502i | 0.498640 | + | 0.146414i | 0.521375 | − | 0.853328i | \(-0.325419\pi\) |
−0.0227351 | + | 0.999742i | \(0.507237\pi\) | |||||||
\(198\) | 0.388307 | − | 0.850274i | 0.0275958 | − | 0.0604263i | ||||
\(199\) | 1.16826 | + | 0.750792i | 0.0828154 | + | 0.0532222i | 0.581393 | − | 0.813623i | \(-0.302508\pi\) |
−0.498578 | + | 0.866845i | \(0.666144\pi\) | |||||||
\(200\) | −0.959493 | + | 0.281733i | −0.0678464 | + | 0.0199215i | ||||
\(201\) | −1.37174 | + | 9.54065i | −0.0967550 | + | 0.672946i | ||||
\(202\) | 7.36636 | + | 16.1301i | 0.518295 | + | 1.13491i | ||||
\(203\) | 0.875840 | + | 6.09160i | 0.0614719 | + | 0.427547i | ||||
\(204\) | −0.486765 | + | 0.312825i | −0.0340804 | + | 0.0219021i | ||||
\(205\) | −5.56744 | + | 6.42517i | −0.388847 | + | 0.448753i | ||||
\(206\) | −14.4223 | −1.00485 | ||||||||
\(207\) | 1.29595 | + | 4.61741i | 0.0900749 | + | 0.320932i | ||||
\(208\) | 6.66350 | 0.462031 | ||||||||
\(209\) | −4.68488 | + | 5.40664i | −0.324060 | + | 0.373985i | ||||
\(210\) | −4.02393 | + | 2.58602i | −0.277678 | + | 0.178453i | ||||
\(211\) | 2.13906 | + | 14.8775i | 0.147259 | + | 1.02421i | 0.920681 | + | 0.390316i | \(0.127634\pi\) |
−0.773422 | + | 0.633891i | \(0.781457\pi\) | |||||||
\(212\) | −3.94319 | − | 8.63438i | −0.270819 | − | 0.593012i | ||||
\(213\) | 1.44615 | − | 10.0582i | 0.0990889 | − | 0.689178i | ||||
\(214\) | −2.93657 | + | 0.862255i | −0.200740 | + | 0.0589425i | ||||
\(215\) | −7.18103 | − | 4.61497i | −0.489742 | − | 0.314738i | ||||
\(216\) | −0.415415 | + | 0.909632i | −0.0282654 | + | 0.0618926i | ||||
\(217\) | −15.6772 | − | 4.60326i | −1.06424 | − | 0.312489i | ||||
\(218\) | −0.00365544 | − | 0.00421860i | −0.000247578 | − | 0.000285720i | ||||
\(219\) | −8.46378 | − | 9.76772i | −0.571929 | − | 0.660041i | ||||
\(220\) | 0.896881 | + | 0.263348i | 0.0604677 | + | 0.0177549i | ||||
\(221\) | 1.60169 | − | 3.50720i | 0.107741 | − | 0.235920i | ||||
\(222\) | −2.36051 | − | 1.51701i | −0.158427 | − | 0.101815i | ||||
\(223\) | 8.69590 | − | 2.55335i | 0.582320 | − | 0.170985i | 0.0227123 | − | 0.999742i | \(-0.492770\pi\) |
0.559608 | + | 0.828757i | \(0.310952\pi\) | |||||||
\(224\) | 0.680728 | − | 4.73457i | 0.0454831 | − | 0.316342i | ||||
\(225\) | 0.415415 | + | 0.909632i | 0.0276943 | + | 0.0606421i | ||||
\(226\) | 0.596792 | + | 4.15078i | 0.0396980 | + | 0.276106i | ||||
\(227\) | −3.38194 | + | 2.17344i | −0.224467 | + | 0.144256i | −0.648042 | − | 0.761605i | \(-0.724412\pi\) |
0.423574 | + | 0.905861i | \(0.360775\pi\) | |||||||
\(228\) | 5.01194 | − | 5.78408i | 0.331924 | − | 0.383060i | ||||
\(229\) | 8.93990 | 0.590765 | 0.295383 | − | 0.955379i | \(-0.404553\pi\) | ||||
0.295383 | + | 0.955379i | \(0.404553\pi\) | |||||||
\(230\) | −4.38598 | + | 1.93989i | −0.289203 | + | 0.127912i | ||||
\(231\) | 4.47112 | 0.294178 | ||||||||
\(232\) | −0.842558 | + | 0.972364i | −0.0553167 | + | 0.0638388i | ||||
\(233\) | −17.9378 | + | 11.5279i | −1.17514 | + | 0.755220i | −0.974487 | − | 0.224442i | \(-0.927944\pi\) |
−0.200657 | + | 0.979662i | \(0.564308\pi\) | |||||||
\(234\) | −0.948315 | − | 6.59568i | −0.0619933 | − | 0.431173i | ||||
\(235\) | −0.806568 | − | 1.76614i | −0.0526147 | − | 0.115210i | ||||
\(236\) | −1.61551 | + | 11.2361i | −0.105161 | + | 0.731408i | ||||
\(237\) | −4.08923 | + | 1.20071i | −0.265624 | + | 0.0779943i | ||||
\(238\) | −2.32832 | − | 1.49632i | −0.150923 | − | 0.0969921i | ||||
\(239\) | 11.3623 | − | 24.8800i | 0.734969 | − | 1.60936i | −0.0566894 | − | 0.998392i | \(-0.518054\pi\) |
0.791658 | − | 0.610965i | \(-0.209218\pi\) | |||||||
\(240\) | −0.959493 | − | 0.281733i | −0.0619350 | − | 0.0181858i | ||||
\(241\) | 5.17393 | + | 5.97103i | 0.333282 | + | 0.384628i | 0.897512 | − | 0.440990i | \(-0.145372\pi\) |
−0.564230 | + | 0.825618i | \(0.690827\pi\) | |||||||
\(242\) | 6.63128 | + | 7.65291i | 0.426275 | + | 0.491948i | ||||
\(243\) | 0.959493 | + | 0.281733i | 0.0615515 | + | 0.0180732i | ||||
\(244\) | −1.51018 | + | 3.30683i | −0.0966792 | + | 0.211698i | ||||
\(245\) | −13.3587 | − | 8.58512i | −0.853456 | − | 0.548483i | ||||
\(246\) | −8.15734 | + | 2.39521i | −0.520093 | + | 0.152713i | ||||
\(247\) | −7.25787 | + | 50.4796i | −0.461807 | + | 3.21194i | ||||
\(248\) | −1.41901 | − | 3.10721i | −0.0901075 | − | 0.197308i | ||||
\(249\) | −0.388443 | − | 2.70168i | −0.0246166 | − | 0.171212i | ||||
\(250\) | −0.841254 | + | 0.540641i | −0.0532055 | + | 0.0341931i | ||||
\(251\) | 12.3996 | − | 14.3098i | 0.782653 | − | 0.903229i | −0.214645 | − | 0.976692i | \(-0.568860\pi\) |
0.997298 | + | 0.0734627i | \(0.0234050\pi\) | |||||||
\(252\) | −4.78325 | −0.301317 | ||||||||
\(253\) | 4.42929 | + | 0.691059i | 0.278467 | + | 0.0434465i | ||||
\(254\) | 15.3352 | 0.962218 | ||||||||
\(255\) | −0.378915 | + | 0.437291i | −0.0237286 | + | 0.0273842i | ||||
\(256\) | 0.841254 | − | 0.540641i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | −0.447910 | − | 3.11528i | −0.0279399 | − | 0.194326i | 0.971071 | − | 0.238791i | \(-0.0767509\pi\) |
−0.999011 | + | 0.0444645i | \(0.985842\pi\) | |||||||
\(258\) | −3.54603 | − | 7.76471i | −0.220766 | − | 0.483410i | ||||
\(259\) | 1.91009 | − | 13.2850i | 0.118687 | − | 0.825487i | ||||
\(260\) | 6.39358 | − | 1.87733i | 0.396513 | − | 0.116427i | ||||
\(261\) | 1.08238 | + | 0.695600i | 0.0669974 | + | 0.0430566i | ||||
\(262\) | 7.09799 | − | 15.5424i | 0.438515 | − | 0.960214i | ||||
\(263\) | −22.8073 | − | 6.69684i | −1.40636 | − | 0.412945i | −0.511497 | − | 0.859285i | \(-0.670909\pi\) |
−0.894863 | + | 0.446340i | \(0.852727\pi\) | |||||||
\(264\) | 0.612128 | + | 0.706433i | 0.0376739 | + | 0.0434779i | ||||
\(265\) | −6.21605 | − | 7.17370i | −0.381849 | − | 0.440677i | ||||
\(266\) | 35.1254 | + | 10.3138i | 2.15368 | + | 0.632377i | ||||
\(267\) | −1.15452 | + | 2.52804i | −0.0706554 | + | 0.154714i | ||||
\(268\) | −8.10864 | − | 5.21111i | −0.495314 | − | 0.318319i | ||||
\(269\) | 25.9521 | − | 7.62022i | 1.58233 | − | 0.464613i | 0.631768 | − | 0.775158i | \(-0.282330\pi\) |
0.950559 | + | 0.310545i | \(0.100512\pi\) | |||||||
\(270\) | −0.142315 | + | 0.989821i | −0.00866101 | + | 0.0602386i | ||||
\(271\) | 9.84464 | + | 21.5568i | 0.598020 | + | 1.30948i | 0.930473 | + | 0.366360i | \(0.119396\pi\) |
−0.332454 | + | 0.943120i | \(0.607876\pi\) | |||||||
\(272\) | −0.0823460 | − | 0.572729i | −0.00499296 | − | 0.0347268i | ||||
\(273\) | 26.8135 | − | 17.2320i | 1.62282 | − | 1.04293i | ||||
\(274\) | −8.61294 | + | 9.93986i | −0.520327 | + | 0.600489i | ||||
\(275\) | 0.934745 | 0.0563672 | ||||||||
\(276\) | −4.73851 | − | 0.739303i | −0.285224 | − | 0.0445008i | ||||
\(277\) | 6.73723 | 0.404801 | 0.202400 | − | 0.979303i | \(-0.435126\pi\) | ||||
0.202400 | + | 0.979303i | \(0.435126\pi\) | |||||||
\(278\) | 6.08950 | − | 7.02766i | 0.365224 | − | 0.421491i | ||||
\(279\) | −2.87363 | + | 1.84677i | −0.172040 | + | 0.110563i | ||||
\(280\) | −0.680728 | − | 4.73457i | −0.0406813 | − | 0.282945i | ||||
\(281\) | 5.05038 | + | 11.0588i | 0.301281 | + | 0.659713i | 0.998358 | − | 0.0572834i | \(-0.0182439\pi\) |
−0.697077 | + | 0.716996i | \(0.745517\pi\) | |||||||
\(282\) | 0.276318 | − | 1.92183i | 0.0164545 | − | 0.114444i | ||||
\(283\) | −11.1687 | + | 3.27942i | −0.663909 | + | 0.194941i | −0.596289 | − | 0.802770i | \(-0.703359\pi\) |
−0.0676202 | + | 0.997711i | \(0.521541\pi\) | |||||||
\(284\) | 8.54853 | + | 5.49381i | 0.507262 | + | 0.325997i | ||||
\(285\) | 3.17935 | − | 6.96181i | 0.188329 | − | 0.412382i | ||||
\(286\) | −5.97637 | − | 1.75482i | −0.353390 | − | 0.103765i | ||||
\(287\) | −26.6305 | − | 30.7332i | −1.57195 | − | 1.81412i | ||||
\(288\) | −0.654861 | − | 0.755750i | −0.0385880 | − | 0.0445330i | ||||
\(289\) | 15.9901 | + | 4.69513i | 0.940597 | + | 0.276184i | ||||
\(290\) | −0.534482 | + | 1.17035i | −0.0313859 | + | 0.0687255i | ||||
\(291\) | 4.60404 | + | 2.95884i | 0.269894 | + | 0.173450i | ||||
\(292\) | 12.4010 | − | 3.64126i | 0.725714 | − | 0.213089i | ||||
\(293\) | 0.337676 | − | 2.34859i | 0.0197272 | − | 0.137206i | −0.977578 | − | 0.210576i | \(-0.932466\pi\) |
0.997305 | + | 0.0733697i | \(0.0233753\pi\) | |||||||
\(294\) | −6.59659 | − | 14.4445i | −0.384721 | − | 0.842422i | ||||
\(295\) | 1.61551 | + | 11.2361i | 0.0940585 | + | 0.654191i | ||||
\(296\) | 2.36051 | − | 1.51701i | 0.137202 | − | 0.0881744i | ||||
\(297\) | 0.612128 | − | 0.706433i | 0.0355193 | − | 0.0409914i | ||||
\(298\) | −4.60971 | −0.267033 | ||||||||
\(299\) | 29.2260 | − | 12.9265i | 1.69018 | − | 0.747556i | ||||
\(300\) | −1.00000 | −0.0577350 | ||||||||
\(301\) | 26.7382 | − | 30.8575i | 1.54116 | − | 1.77860i | ||||
\(302\) | 4.70103 | − | 3.02117i | 0.270514 | − | 0.173849i | ||||
\(303\) | 2.52360 | + | 17.5520i | 0.144977 | + | 1.00834i | ||||
\(304\) | 3.17935 | + | 6.96181i | 0.182348 | + | 0.399287i | ||||
\(305\) | −0.517364 | + | 3.59835i | −0.0296242 | + | 0.206041i | ||||
\(306\) | −0.555181 | + | 0.163016i | −0.0317376 | + | 0.00931899i | ||||
\(307\) | 3.06637 | + | 1.97064i | 0.175007 | + | 0.112470i | 0.625212 | − | 0.780455i | \(-0.285013\pi\) |
−0.450205 | + | 0.892925i | \(0.648649\pi\) | |||||||
\(308\) | −1.85737 | + | 4.06708i | −0.105834 | + | 0.231743i | ||||
\(309\) | −13.8381 | − | 4.06324i | −0.787223 | − | 0.231150i | ||||
\(310\) | −2.23694 | − | 2.58156i | −0.127049 | − | 0.146623i | ||||
\(311\) | −19.5570 | − | 22.5700i | −1.10898 | − | 1.27983i | −0.956568 | − | 0.291509i | \(-0.905843\pi\) |
−0.152408 | − | 0.988318i | \(-0.548703\pi\) | |||||||
\(312\) | 6.39358 | + | 1.87733i | 0.361965 | + | 0.106283i | ||||
\(313\) | 0.939940 | − | 2.05818i | 0.0531286 | − | 0.116335i | −0.881206 | − | 0.472732i | \(-0.843268\pi\) |
0.934335 | + | 0.356397i | \(0.115995\pi\) | |||||||
\(314\) | −7.70785 | − | 4.95353i | −0.434979 | − | 0.279544i | ||||
\(315\) | −4.58950 | + | 1.34760i | −0.258589 | + | 0.0759286i | ||||
\(316\) | 0.606527 | − | 4.21849i | 0.0341198 | − | 0.237309i | ||||
\(317\) | −0.986163 | − | 2.15940i | −0.0553884 | − | 0.121284i | 0.879914 | − | 0.475133i | \(-0.157600\pi\) |
−0.935303 | + | 0.353849i | \(0.884873\pi\) | |||||||
\(318\) | −1.35088 | − | 9.39555i | −0.0757534 | − | 0.526877i | ||||
\(319\) | 1.01174 | − | 0.650209i | 0.0566468 | − | 0.0364047i | ||||
\(320\) | 0.654861 | − | 0.755750i | 0.0366078 | − | 0.0422477i | ||||
\(321\) | −3.06054 | −0.170823 | ||||||||
\(322\) | −6.19887 | − | 22.0863i | −0.345450 | − | 1.23082i | ||||
\(323\) | 4.42842 | 0.246404 | ||||||||
\(324\) | −0.654861 | + | 0.755750i | −0.0363812 | + | 0.0419861i | ||||
\(325\) | 5.60569 | − | 3.60256i | 0.310948 | − | 0.199834i | ||||
\(326\) | −1.94290 | − | 13.5132i | −0.107607 | − | 0.748426i | ||||
\(327\) | −0.00231885 | − | 0.00507758i | −0.000128233 | − | 0.000280791i | ||||
\(328\) | 1.20992 | − | 8.41518i | 0.0668067 | − | 0.464651i | ||||
\(329\) | 8.91096 | − | 2.61649i | 0.491277 | − | 0.144252i | ||||
\(330\) | 0.786357 | + | 0.505361i | 0.0432876 | + | 0.0278192i | ||||
\(331\) | −12.6798 | + | 27.7648i | −0.696942 | + | 1.52609i | 0.146697 | + | 0.989181i | \(0.453136\pi\) |
−0.843640 | + | 0.536910i | \(0.819592\pi\) | |||||||
\(332\) | 2.61890 | + | 0.768979i | 0.143731 | + | 0.0422032i | ||||
\(333\) | −1.83751 | − | 2.12059i | −0.100695 | − | 0.116208i | ||||
\(334\) | −12.2903 | − | 14.1838i | −0.672495 | − | 0.776101i | ||||
\(335\) | −9.24832 | − | 2.71555i | −0.505290 | − | 0.148366i | ||||
\(336\) | 1.98704 | − | 4.35100i | 0.108402 | − | 0.237367i | ||||
\(337\) | 16.8407 | + | 10.8229i | 0.917372 | + | 0.589559i | 0.911894 | − | 0.410426i | \(-0.134620\pi\) |
0.00547776 | + | 0.999985i | \(0.498256\pi\) | |||||||
\(338\) | −30.1303 | + | 8.84704i | −1.63887 | + | 0.481216i | ||||
\(339\) | −0.596792 | + | 4.15078i | −0.0324133 | + | 0.225440i | ||||
\(340\) | −0.240367 | − | 0.526330i | −0.0130357 | − | 0.0285443i | ||||
\(341\) | 0.454410 | + | 3.16049i | 0.0246077 | + | 0.171150i | ||||
\(342\) | 6.43848 | − | 4.13776i | 0.348153 | − | 0.223744i | ||||
\(343\) | 27.8139 | − | 32.0990i | 1.50181 | − | 1.73318i | ||||
\(344\) | 8.53610 | 0.460236 | ||||||||
\(345\) | −4.75485 | + | 0.625635i | −0.255992 | + | 0.0336831i | ||||
\(346\) | 4.37983 | 0.235461 | ||||||||
\(347\) | 6.27030 | − | 7.23632i | 0.336607 | − | 0.388466i | −0.562060 | − | 0.827097i | \(-0.689991\pi\) |
0.898667 | + | 0.438631i | \(0.144536\pi\) | |||||||
\(348\) | −1.08238 | + | 0.695600i | −0.0580214 | + | 0.0372881i | ||||
\(349\) | 0.696797 | + | 4.84633i | 0.0372987 | + | 0.259418i | 0.999935 | − | 0.0113786i | \(-0.00362201\pi\) |
−0.962637 | + | 0.270797i | \(0.912713\pi\) | |||||||
\(350\) | −1.98704 | − | 4.35100i | −0.106212 | − | 0.232571i | ||||
\(351\) | 0.948315 | − | 6.59568i | 0.0506173 | − | 0.352051i | ||||
\(352\) | −0.896881 | + | 0.263348i | −0.0478039 | + | 0.0140365i | ||||
\(353\) | −5.90875 | − | 3.79732i | −0.314491 | − | 0.202111i | 0.373867 | − | 0.927482i | \(-0.378032\pi\) |
−0.688358 | + | 0.725371i | \(0.741668\pi\) | |||||||
\(354\) | −4.71564 | + | 10.3258i | −0.250634 | + | 0.548811i | ||||
\(355\) | 9.75004 | + | 2.86287i | 0.517478 | + | 0.151945i | ||||
\(356\) | −1.81999 | − | 2.10037i | −0.0964590 | − | 0.111320i | ||||
\(357\) | −1.81245 | − | 2.09167i | −0.0959248 | − | 0.110703i | ||||
\(358\) | 0.446626 | + | 0.131141i | 0.0236049 | + | 0.00693103i | ||||
\(359\) | −12.7164 | + | 27.8451i | −0.671148 | + | 1.46961i | 0.200610 | + | 0.979671i | \(0.435708\pi\) |
−0.871758 | + | 0.489937i | \(0.837020\pi\) | |||||||
\(360\) | −0.841254 | − | 0.540641i | −0.0443380 | − | 0.0284943i | ||||
\(361\) | −37.9720 | + | 11.1496i | −1.99853 | + | 0.586821i | ||||
\(362\) | −1.60773 | + | 11.1820i | −0.0845005 | + | 0.587714i | ||||
\(363\) | 4.20660 | + | 9.21116i | 0.220789 | + | 0.483461i | ||||
\(364\) | 4.53603 | + | 31.5488i | 0.237753 | + | 1.65361i | ||||
\(365\) | 10.8728 | − | 6.98754i | 0.569109 | − | 0.365744i | ||||
\(366\) | −2.38065 | + | 2.74741i | −0.124438 | + | 0.143610i | ||||
\(367\) | 21.4469 | 1.11952 | 0.559760 | − | 0.828655i | \(-0.310893\pi\) | ||||
0.559760 | + | 0.828655i | \(0.310893\pi\) | |||||||
\(368\) | 2.64094 | − | 4.00318i | 0.137668 | − | 0.208680i | ||||
\(369\) | −8.50172 | −0.442582 | ||||||||
\(370\) | 1.83751 | − | 2.12059i | 0.0955273 | − | 0.110244i | ||||
\(371\) | 38.1958 | − | 24.5470i | 1.98303 | − | 1.27442i | ||||
\(372\) | −0.486133 | − | 3.38113i | −0.0252048 | − | 0.175303i | ||||
\(373\) | −3.67528 | − | 8.04774i | −0.190299 | − | 0.416696i | 0.790300 | − | 0.612719i | \(-0.209924\pi\) |
−0.980599 | + | 0.196023i | \(0.937197\pi\) | |||||||
\(374\) | −0.0769725 | + | 0.535356i | −0.00398015 | + | 0.0276826i | ||||
\(375\) | −0.959493 | + | 0.281733i | −0.0495480 | + | 0.0145486i | ||||
\(376\) | 1.63337 | + | 1.04971i | 0.0842349 | + | 0.0541345i | ||||
\(377\) | 3.56152 | − | 7.79865i | 0.183428 | − | 0.401651i | ||||
\(378\) | −4.58950 | − | 1.34760i | −0.236058 | − | 0.0693130i | ||||
\(379\) | −12.9317 | − | 14.9240i | −0.664257 | − | 0.766593i | 0.319210 | − | 0.947684i | \(-0.396583\pi\) |
−0.983466 | + | 0.181091i | \(0.942037\pi\) | |||||||
\(380\) | 5.01194 | + | 5.78408i | 0.257107 | + | 0.296717i | ||||
\(381\) | 14.7140 | + | 4.32043i | 0.753824 | + | 0.221343i | ||||
\(382\) | −8.93130 | + | 19.5568i | −0.456965 | + | 1.00061i | ||||
\(383\) | 0.534117 | + | 0.343256i | 0.0272921 | + | 0.0175396i | 0.554216 | − | 0.832373i | \(-0.313018\pi\) |
−0.526924 | + | 0.849913i | \(0.676655\pi\) | |||||||
\(384\) | 0.959493 | − | 0.281733i | 0.0489639 | − | 0.0143771i | ||||
\(385\) | −0.636307 | + | 4.42561i | −0.0324292 | + | 0.225550i | ||||
\(386\) | −4.74279 | − | 10.3853i | −0.241402 | − | 0.528596i | ||||
\(387\) | −1.21481 | − | 8.44922i | −0.0617525 | − | 0.429498i | ||||
\(388\) | −4.60404 | + | 2.95884i | −0.233735 | + | 0.150212i | ||||
\(389\) | −18.6400 | + | 21.5117i | −0.945085 | + | 1.09069i | 0.0506769 | + | 0.998715i | \(0.483862\pi\) |
−0.995762 | + | 0.0919709i | \(0.970683\pi\) | |||||||
\(390\) | 6.66350 | 0.337420 | ||||||||
\(391\) | −1.47220 | − | 2.35224i | −0.0744523 | − | 0.118958i | ||||
\(392\) | 15.8795 | 0.802037 | ||||||||
\(393\) | 11.1893 | − | 12.9131i | 0.564424 | − | 0.651380i | ||||
\(394\) | −6.13628 | + | 3.94355i | −0.309141 | + | 0.198673i | ||||
\(395\) | −0.606527 | − | 4.21849i | −0.0305177 | − | 0.212255i | ||||
\(396\) | 0.388307 | + | 0.850274i | 0.0195132 | + | 0.0427279i | ||||
\(397\) | −1.76486 | + | 12.2749i | −0.0885757 | + | 0.616058i | 0.896385 | + | 0.443277i | \(0.146184\pi\) |
−0.984960 | + | 0.172781i | \(0.944725\pi\) | |||||||
\(398\) | −1.33246 | + | 0.391244i | −0.0667900 | + | 0.0196113i | ||||
\(399\) | 30.7969 | + | 19.7920i | 1.54177 | + | 0.990837i | ||||
\(400\) | 0.415415 | − | 0.909632i | 0.0207708 | − | 0.0454816i | ||||
\(401\) | −6.19434 | − | 1.81882i | −0.309330 | − | 0.0908276i | 0.123383 | − | 0.992359i | \(-0.460626\pi\) |
−0.432713 | + | 0.901532i | \(0.642444\pi\) | |||||||
\(402\) | −6.31204 | − | 7.28449i | −0.314816 | − | 0.363317i | ||||
\(403\) | 14.9058 | + | 17.2022i | 0.742512 | + | 0.856905i | ||||
\(404\) | −17.0142 | − | 4.99583i | −0.846490 | − | 0.248552i | ||||
\(405\) | −0.415415 | + | 0.909632i | −0.0206421 | + | 0.0452000i | ||||
\(406\) | −5.17728 | − | 3.32723i | −0.256944 | − | 0.165128i | ||||
\(407\) | −2.51660 | + | 0.738941i | −0.124743 | + | 0.0366279i | ||||
\(408\) | 0.0823460 | − | 0.572729i | 0.00407674 | − | 0.0283543i | ||||
\(409\) | 4.56170 | + | 9.98872i | 0.225561 | + | 0.493910i | 0.988248 | − | 0.152857i | \(-0.0488475\pi\) |
−0.762687 | + | 0.646768i | \(0.776120\pi\) | |||||||
\(410\) | −1.20992 | − | 8.41518i | −0.0597537 | − | 0.415596i | ||||
\(411\) | −11.0644 | + | 7.11068i | −0.545768 | + | 0.350744i | ||||
\(412\) | 9.44461 | − | 10.8997i | 0.465303 | − | 0.536988i | ||||
\(413\) | −54.2978 | −2.67182 | ||||||||
\(414\) | −4.33828 | − | 2.04435i | −0.213215 | − | 0.100474i | ||||
\(415\) | 2.72947 | 0.133984 | ||||||||
\(416\) | −4.36367 | + | 5.03594i | −0.213946 | + | 0.246907i | ||||
\(417\) | 7.82275 | − | 5.02738i | 0.383082 | − | 0.246192i | ||||
\(418\) | −1.01812 | − | 7.08119i | −0.0497980 | − | 0.346353i | ||||
\(419\) | −1.97979 | − | 4.33513i | −0.0967190 | − | 0.211785i | 0.855088 | − | 0.518483i | \(-0.173503\pi\) |
−0.951807 | + | 0.306698i | \(0.900776\pi\) | |||||||
\(420\) | 0.680728 | − | 4.73457i | 0.0332161 | − | 0.231023i | ||||
\(421\) | −19.8677 | + | 5.83368i | −0.968293 | + | 0.284316i | −0.727383 | − | 0.686231i | \(-0.759264\pi\) |
−0.240909 | + | 0.970548i | \(0.577446\pi\) | |||||||
\(422\) | −12.6444 | − | 8.12608i | −0.615521 | − | 0.395571i | ||||
\(423\) | 0.806568 | − | 1.76614i | 0.0392167 | − | 0.0858726i | ||||
\(424\) | 9.10767 | + | 2.67425i | 0.442308 | + | 0.129873i | ||||
\(425\) | −0.378915 | − | 0.437291i | −0.0183801 | − | 0.0212117i | ||||
\(426\) | 6.65447 | + | 7.67967i | 0.322410 | + | 0.372081i | ||||
\(427\) | −16.6844 | − | 4.89899i | −0.807416 | − | 0.237079i | ||||
\(428\) | 1.27140 | − | 2.78397i | 0.0614552 | − | 0.134568i | ||||
\(429\) | −5.23989 | − | 3.36748i | −0.252984 | − | 0.162583i | ||||
\(430\) | 8.19033 | − | 2.40490i | 0.394973 | − | 0.115975i | ||||
\(431\) | 2.30241 | − | 16.0136i | 0.110903 | − | 0.771348i | −0.856142 | − | 0.516741i | \(-0.827145\pi\) |
0.967045 | − | 0.254607i | \(-0.0819460\pi\) | |||||||
\(432\) | −0.415415 | − | 0.909632i | −0.0199867 | − | 0.0437647i | ||||
\(433\) | −3.96136 | − | 27.5519i | −0.190371 | − | 1.32406i | −0.831028 | − | 0.556231i | \(-0.812247\pi\) |
0.640657 | − | 0.767827i | \(-0.278662\pi\) | |||||||
\(434\) | 13.7453 | − | 8.83358i | 0.659797 | − | 0.424025i | ||||
\(435\) | −0.842558 | + | 0.972364i | −0.0403976 | + | 0.0466213i | ||||
\(436\) | 0.00558201 | 0.000267330 | ||||||||
\(437\) | 27.4497 | + | 24.3668i | 1.31310 | + | 1.16562i | ||||
\(438\) | 12.9245 | 0.617559 | ||||||||
\(439\) | −12.9902 | + | 14.9915i | −0.619991 | + | 0.715507i | −0.975705 | − | 0.219087i | \(-0.929692\pi\) |
0.355715 | + | 0.934595i | \(0.384237\pi\) | |||||||
\(440\) | −0.786357 | + | 0.505361i | −0.0374881 | + | 0.0240922i | ||||
\(441\) | −2.25989 | − | 15.7179i | −0.107614 | − | 0.748471i | ||||
\(442\) | 1.60169 | + | 3.50720i | 0.0761844 | + | 0.166821i | ||||
\(443\) | −4.10340 | + | 28.5398i | −0.194958 | + | 1.35597i | 0.623691 | + | 0.781671i | \(0.285633\pi\) |
−0.818649 | + | 0.574294i | \(0.805277\pi\) | |||||||
\(444\) | 2.69229 | − | 0.790527i | 0.127770 | − | 0.0375167i | ||||
\(445\) | −2.33801 | − | 1.50255i | −0.110832 | − | 0.0712275i | ||||
\(446\) | −3.76491 | + | 8.24401i | −0.178274 | + | 0.390365i | ||||
\(447\) | −4.42299 | − | 1.29871i | −0.209200 | − | 0.0614267i | ||||
\(448\) | 3.13237 | + | 3.61494i | 0.147990 | + | 0.170790i | ||||
\(449\) | −21.9732 | − | 25.3585i | −1.03698 | − | 1.19674i | −0.980130 | − | 0.198357i | \(-0.936440\pi\) |
−0.0568505 | − | 0.998383i | \(-0.518106\pi\) | |||||||
\(450\) | −0.959493 | − | 0.281733i | −0.0452309 | − | 0.0132810i | ||||
\(451\) | −3.30128 | + | 7.22879i | −0.155451 | + | 0.340390i | ||||
\(452\) | −3.52777 | − | 2.26716i | −0.165932 | − | 0.106638i | ||||
\(453\) | 5.36177 | − | 1.57436i | 0.251918 | − | 0.0739697i | ||||
\(454\) | 0.572123 | − | 3.97920i | 0.0268511 | − | 0.186753i | ||||
\(455\) | 13.2406 | + | 28.9929i | 0.620730 | + | 1.35921i | ||||
\(456\) | 1.08920 | + | 7.57554i | 0.0510064 | + | 0.354757i | ||||
\(457\) | 22.7974 | − | 14.6510i | 1.06642 | − | 0.685344i | 0.115035 | − | 0.993361i | \(-0.463302\pi\) |
0.951381 | + | 0.308018i | \(0.0996656\pi\) | |||||||
\(458\) | −5.85439 | + | 6.75633i | −0.273558 | + | 0.315702i | ||||
\(459\) | −0.578619 | −0.0270076 | ||||||||
\(460\) | 1.40614 | − | 4.58506i | 0.0655615 | − | 0.213780i | ||||
\(461\) | 34.7252 | 1.61731 | 0.808656 | − | 0.588282i | \(-0.200195\pi\) | ||||
0.808656 | + | 0.588282i | \(0.200195\pi\) | |||||||
\(462\) | −2.92796 | + | 3.37905i | −0.136221 | + | 0.157208i | ||||
\(463\) | 24.5438 | − | 15.7734i | 1.14065 | − | 0.733050i | 0.172892 | − | 0.984941i | \(-0.444689\pi\) |
0.967756 | + | 0.251891i | \(0.0810523\pi\) | |||||||
\(464\) | −0.183105 | − | 1.27353i | −0.00850046 | − | 0.0591220i | ||||
\(465\) | −1.41901 | − | 3.10721i | −0.0658052 | − | 0.144093i | ||||
\(466\) | 3.03454 | − | 21.1057i | 0.140572 | − | 0.977702i | ||||
\(467\) | −8.67569 | + | 2.54741i | −0.401463 | + | 0.117880i | −0.476230 | − | 0.879321i | \(-0.657997\pi\) |
0.0747667 | + | 0.997201i | \(0.476179\pi\) | |||||||
\(468\) | 5.60569 | + | 3.60256i | 0.259123 | + | 0.166528i | ||||
\(469\) | 19.1526 | − | 41.9382i | 0.884383 | − | 1.93653i | ||||
\(470\) | 1.86295 | + | 0.547011i | 0.0859314 | + | 0.0252317i | ||||
\(471\) | −6.00006 | − | 6.92443i | −0.276468 | − | 0.319061i | ||||
\(472\) | −7.43375 | − | 8.57900i | −0.342166 | − | 0.394881i | ||||
\(473\) | −7.65587 | − | 2.24797i | −0.352017 | − | 0.103362i | ||||
\(474\) | 1.77044 | − | 3.87673i | 0.0813192 | − | 0.178064i | ||||
\(475\) | 6.43848 | + | 4.13776i | 0.295418 | + | 0.189853i | ||||
\(476\) | 2.65557 | − | 0.779746i | 0.121718 | − | 0.0357396i | ||||
\(477\) | 1.35088 | − | 9.39555i | 0.0618524 | − | 0.430193i | ||||
\(478\) | 11.3623 | + | 24.8800i | 0.519701 | + | 1.13799i | ||||
\(479\) | −4.57667 | − | 31.8315i | −0.209114 | − | 1.45442i | −0.776058 | − | 0.630661i | \(-0.782784\pi\) |
0.566945 | − | 0.823756i | \(-0.308125\pi\) | |||||||
\(480\) | 0.841254 | − | 0.540641i | 0.0383978 | − | 0.0246768i | ||||
\(481\) | −12.2442 | + | 14.1306i | −0.558288 | + | 0.644299i | ||||
\(482\) | −7.90081 | −0.359872 | ||||||||
\(483\) | 0.274645 | − | 22.9380i | 0.0124968 | − | 1.04372i | ||||
\(484\) | −10.1263 | −0.460284 | ||||||||
\(485\) | −3.58394 | + | 4.13609i | −0.162739 | + | 0.187810i | ||||
\(486\) | −0.841254 | + | 0.540641i | −0.0381600 | + | 0.0245240i | ||||
\(487\) | −1.36697 | − | 9.50745i | −0.0619431 | − | 0.430824i | −0.997069 | − | 0.0765081i | \(-0.975623\pi\) |
0.935126 | − | 0.354316i | \(-0.115286\pi\) | |||||||
\(488\) | −1.51018 | − | 3.30683i | −0.0683625 | − | 0.149693i | ||||
\(489\) | 1.94290 | − | 13.5132i | 0.0878611 | − | 0.611087i | ||||
\(490\) | 15.2363 | − | 4.47378i | 0.688305 | − | 0.202105i | ||||
\(491\) | 19.8137 | + | 12.7335i | 0.894179 | + | 0.574654i | 0.905059 | − | 0.425287i | \(-0.139827\pi\) |
−0.0108798 | + | 0.999941i | \(0.503463\pi\) | |||||||
\(492\) | 3.53174 | − | 7.73343i | 0.159223 | − | 0.348650i | ||||
\(493\) | −0.714308 | − | 0.209740i | −0.0321708 | − | 0.00944620i | ||||
\(494\) | −33.3970 | − | 38.5422i | −1.50260 | − | 1.73410i | ||||
\(495\) | 0.612128 | + | 0.706433i | 0.0275131 | + | 0.0317518i | ||||
\(496\) | 3.27753 | + | 0.962369i | 0.147165 | + | 0.0432116i | ||||
\(497\) | −20.1916 | + | 44.2134i | −0.905716 | + | 1.98324i | ||||
\(498\) | 2.29617 | + | 1.47566i | 0.102894 | + | 0.0661259i | ||||
\(499\) | −2.76768 | + | 0.812665i | −0.123898 | + | 0.0363799i | −0.343094 | − | 0.939301i | \(-0.611475\pi\) |
0.219195 | + | 0.975681i | \(0.429657\pi\) | |||||||
\(500\) | 0.142315 | − | 0.989821i | 0.00636451 | − | 0.0442662i | ||||
\(501\) | −7.79643 | − | 17.0718i | −0.348319 | − | 0.762712i | ||||
\(502\) | 2.69468 | + | 18.7419i | 0.120269 | + | 0.836492i | ||||
\(503\) | 31.4778 | − | 20.2295i | 1.40352 | − | 0.901990i | 0.403607 | − | 0.914932i | \(-0.367756\pi\) |
0.999916 | + | 0.0129423i | \(0.00411979\pi\) | |||||||
\(504\) | 3.13237 | − | 3.61494i | 0.139527 | − | 0.161022i | ||||
\(505\) | −17.7325 | −0.789087 | ||||||||
\(506\) | −3.42284 | + | 2.89489i | −0.152164 | + | 0.128694i | ||||
\(507\) | −31.4023 | −1.39462 | ||||||||
\(508\) | −10.0424 | + | 11.5896i | −0.445561 | + | 0.514205i | ||||
\(509\) | −4.50239 | + | 2.89351i | −0.199565 | + | 0.128253i | −0.636607 | − | 0.771189i | \(-0.719663\pi\) |
0.437042 | + | 0.899441i | \(0.356026\pi\) | |||||||
\(510\) | −0.0823460 | − | 0.572729i | −0.00364634 | − | 0.0253609i | ||||
\(511\) | 25.6815 | + | 56.2347i | 1.13608 | + | 2.48768i | ||||
\(512\) | −0.142315 | + | 0.989821i | −0.00628949 | + | 0.0437443i | ||||
\(513\) | 7.34342 | − | 2.15622i | 0.324220 | − | 0.0951995i | ||||
\(514\) | 2.64769 | + | 1.70157i | 0.116785 | + | 0.0750530i | ||||
\(515\) | 5.99125 | − | 13.1190i | 0.264006 | − | 0.578093i | ||||
\(516\) | 8.19033 | + | 2.40490i | 0.360559 | + | 0.105870i | ||||
\(517\) | −1.18851 | − | 1.37161i | −0.0522704 | − | 0.0603232i | ||||
\(518\) | 8.78925 | + | 10.1433i | 0.386178 | + | 0.445673i | ||||
\(519\) | 4.20242 | + | 1.23394i | 0.184466 | + | 0.0541640i | ||||
\(520\) | −2.76812 | + | 6.06133i | −0.121390 | + | 0.265807i | ||||
\(521\) | −12.6519 | − | 8.13087i | −0.554289 | − | 0.356220i | 0.233315 | − | 0.972401i | \(-0.425043\pi\) |
−0.787604 | + | 0.616181i | \(0.788679\pi\) | |||||||
\(522\) | −1.23450 | + | 0.362483i | −0.0540328 | + | 0.0158655i | ||||
\(523\) | −2.00655 | + | 13.9558i | −0.0877402 | + | 0.610247i | 0.897749 | + | 0.440508i | \(0.145202\pi\) |
−0.985489 | + | 0.169739i | \(0.945708\pi\) | |||||||
\(524\) | 7.09799 | + | 15.5424i | 0.310077 | + | 0.678974i | ||||
\(525\) | −0.680728 | − | 4.73457i | −0.0297094 | − | 0.206633i | ||||
\(526\) | 19.9968 | − | 12.8511i | 0.871900 | − | 0.560336i | ||||
\(527\) | 1.29433 | − | 1.49374i | 0.0563820 | − | 0.0650683i | ||||
\(528\) | −0.934745 | −0.0406795 | ||||||||
\(529\) | 3.81739 | − | 22.6810i | 0.165974 | − | 0.986130i | ||||
\(530\) | 9.49217 | 0.412314 | ||||||||
\(531\) | −7.43375 | + | 8.57900i | −0.322597 | + | 0.372297i | ||||
\(532\) | −30.7969 | + | 19.7920i | −1.33521 | + | 0.858090i | ||||
\(533\) | 8.06231 | + | 56.0746i | 0.349217 | + | 2.42886i | ||||
\(534\) | −1.15452 | − | 2.52804i | −0.0499609 | − | 0.109399i | ||||
\(535\) | 0.435561 | − | 3.02939i | 0.0188309 | − | 0.130972i | ||||
\(536\) | 9.24832 | − | 2.71555i | 0.399467 | − | 0.117294i | ||||
\(537\) | 0.391588 | + | 0.251658i | 0.0168983 | + | 0.0108598i | ||||
\(538\) | −11.2360 | + | 24.6035i | −0.484419 | + | 1.06073i | ||||
\(539\) | −14.2420 | − | 4.18184i | −0.613448 | − | 0.180125i | ||||
\(540\) | −0.654861 | − | 0.755750i | −0.0281807 | − | 0.0325223i | ||||
\(541\) | 28.1867 | + | 32.5292i | 1.21184 | + | 1.39854i | 0.892589 | + | 0.450872i | \(0.148887\pi\) |
0.319254 | + | 0.947669i | \(0.396568\pi\) | |||||||
\(542\) | −22.7384 | − | 6.67659i | −0.976697 | − | 0.286784i | ||||
\(543\) | −4.69295 | + | 10.2761i | −0.201394 | + | 0.440990i | ||||
\(544\) | 0.486765 | + | 0.312825i | 0.0208699 | + | 0.0134123i | ||||
\(545\) | 0.00535590 | − | 0.00157264i | 0.000229422 | − | 6.73643e-5i | ||||
\(546\) | −4.53603 | + | 31.5488i | −0.194124 | + | 1.35016i | ||||
\(547\) | −14.5496 | − | 31.8592i | −0.622096 | − | 1.36220i | −0.913985 | − | 0.405748i | \(-0.867011\pi\) |
0.291889 | − | 0.956452i | \(-0.405716\pi\) | |||||||
\(548\) | −1.87177 | − | 13.0184i | −0.0799581 | − | 0.556121i | ||||
\(549\) | −3.05825 | + | 1.96542i | −0.130523 | + | 0.0838820i | ||||
\(550\) | −0.612128 | + | 0.706433i | −0.0261012 | + | 0.0301224i | ||||
\(551\) | 9.84708 | 0.419500 | ||||||||
\(552\) | 3.66179 | − | 3.09698i | 0.155856 | − | 0.131816i | ||||
\(553\) | 20.3856 | 0.866884 | ||||||||
\(554\) | −4.41195 | + | 5.09166i | −0.187446 | + | 0.216324i | ||||
\(555\) | 2.36051 | − | 1.51701i | 0.100198 | − | 0.0643935i | ||||
\(556\) | 1.32337 | + | 9.20427i | 0.0561236 | + | 0.390348i | ||||
\(557\) | 4.79460 | + | 10.4987i | 0.203154 | + | 0.444844i | 0.983597 | − | 0.180383i | \(-0.0577336\pi\) |
−0.780443 | + | 0.625227i | \(0.785006\pi\) | |||||||
\(558\) | 0.486133 | − | 3.38113i | 0.0205796 | − | 0.143134i | ||||
\(559\) | −54.5763 | + | 16.0250i | −2.30833 | + | 0.677787i | ||||
\(560\) | 4.02393 | + | 2.58602i | 0.170042 | + | 0.109279i | ||||
\(561\) | −0.224682 | + | 0.491984i | −0.00948607 | + | 0.0207716i | ||||
\(562\) | −11.6650 | − | 3.42515i | −0.492057 | − | 0.144481i | ||||
\(563\) | −8.94836 | − | 10.3270i | −0.377128 | − | 0.435229i | 0.535177 | − | 0.844740i | \(-0.320245\pi\) |
−0.912305 | + | 0.409511i | \(0.865699\pi\) | |||||||
\(564\) | 1.27148 | + | 1.46736i | 0.0535388 | + | 0.0617870i | ||||
\(565\) | −4.02360 | − | 1.18144i | −0.169274 | − | 0.0497034i | ||||
\(566\) | 4.83551 | − | 10.5883i | 0.203252 | − | 0.445059i | ||||
\(567\) | −4.02393 | − | 2.58602i | −0.168989 | − | 0.108603i | ||||
\(568\) | −9.75004 | + | 2.86287i | −0.409102 | + | 0.120123i | ||||
\(569\) | −0.0829117 | + | 0.576663i | −0.00347584 | + | 0.0241750i | −0.991486 | − | 0.130217i | \(-0.958433\pi\) |
0.988010 | + | 0.154392i | \(0.0493418\pi\) | |||||||
\(570\) | 3.17935 | + | 6.96181i | 0.133168 | + | 0.291598i | ||||
\(571\) | −3.56688 | − | 24.8082i | −0.149269 | − | 1.03819i | −0.917419 | − | 0.397922i | \(-0.869732\pi\) |
0.768150 | − | 0.640270i | \(-0.221177\pi\) | |||||||
\(572\) | 5.23989 | − | 3.36748i | 0.219091 | − | 0.140801i | ||||
\(573\) | −14.0793 | + | 16.2484i | −0.588172 | + | 0.678787i | ||||
\(574\) | 40.6659 | 1.69736 | ||||||||
\(575\) | 0.0574180 | − | 4.79549i | 0.00239450 | − | 0.199986i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 3.62857 | − | 4.18759i | 0.151059 | − | 0.174332i | −0.675176 | − | 0.737656i | \(-0.735933\pi\) |
0.826236 | + | 0.563325i | \(0.190478\pi\) | |||||||
\(578\) | −14.0197 | + | 9.00989i | −0.583141 | + | 0.374762i | ||||
\(579\) | −1.62481 | − | 11.3008i | −0.0675247 | − | 0.469644i | ||||
\(580\) | −0.534482 | − | 1.17035i | −0.0221932 | − | 0.0485963i | ||||
\(581\) | −1.85802 | + | 12.9228i | −0.0770838 | + | 0.536130i | ||||
\(582\) | −5.25115 | + | 1.54188i | −0.217667 | + | 0.0639128i | ||||
\(583\) | −7.46424 | − | 4.79698i | −0.309137 | − | 0.198670i | ||||
\(584\) | −5.36905 | + | 11.7566i | −0.222173 | + | 0.486491i | ||||
\(585\) | 6.39358 | + | 1.87733i | 0.264342 | + | 0.0776179i | ||||
\(586\) | 1.55381 | + | 1.79320i | 0.0641874 | + | 0.0740762i | ||||
\(587\) | −4.04160 | − | 4.66426i | −0.166815 | − | 0.192514i | 0.666187 | − | 0.745785i | \(-0.267925\pi\) |
−0.833002 | + | 0.553270i | \(0.813380\pi\) | |||||||
\(588\) | 15.2363 | + | 4.47378i | 0.628334 | + | 0.184496i | ||||
\(589\) | −10.8603 | + | 23.7808i | −0.447492 | + | 0.979872i | ||||
\(590\) | −9.54961 | − | 6.13716i | −0.393151 | − | 0.252663i | ||||
\(591\) | −6.99875 | + | 2.05502i | −0.287890 | + | 0.0845321i | ||||
\(592\) | −0.399328 | + | 2.77739i | −0.0164123 | + | 0.114150i | ||||
\(593\) | −12.4921 | − | 27.3538i | −0.512988 | − | 1.12329i | −0.972027 | − | 0.234871i | \(-0.924533\pi\) |
0.459039 | − | 0.888416i | \(-0.348194\pi\) | |||||||
\(594\) | 0.133028 | + | 0.925231i | 0.00545821 | + | 0.0379627i | ||||
\(595\) | 2.32832 | − | 1.49632i | 0.0954519 | − | 0.0613432i | ||||
\(596\) | 3.01872 | − | 3.48379i | 0.123652 | − | 0.142702i | ||||
\(597\) | −1.38871 | −0.0568360 | ||||||||
\(598\) | −9.36980 | + | 30.5526i | −0.383160 | + | 1.24939i | ||||
\(599\) | 39.0335 | 1.59487 | 0.797434 | − | 0.603407i | \(-0.206190\pi\) | ||||
0.797434 | + | 0.603407i | \(0.206190\pi\) | |||||||
\(600\) | 0.654861 | − | 0.755750i | 0.0267346 | − | 0.0308533i | ||||
\(601\) | −17.8549 | + | 11.4747i | −0.728317 | + | 0.468061i | −0.851521 | − | 0.524321i | \(-0.824319\pi\) |
0.123204 | + | 0.992381i | \(0.460683\pi\) | |||||||
\(602\) | 5.81077 | + | 40.4148i | 0.236829 | + | 1.64718i | ||||
\(603\) | −4.00408 | − | 8.76772i | −0.163059 | − | 0.357049i | ||||
\(604\) | −0.795273 | + | 5.53124i | −0.0323592 | + | 0.225063i | ||||
\(605\) | −9.71607 | + | 2.85289i | −0.395014 | + | 0.115987i | ||||
\(606\) | −14.9175 | − | 9.58693i | −0.605984 | − | 0.389442i | ||||
\(607\) | −10.2330 | + | 22.4072i | −0.415346 | + | 0.909480i | 0.580135 | + | 0.814520i | \(0.303000\pi\) |
−0.995481 | + | 0.0949603i | \(0.969728\pi\) | |||||||
\(608\) | −7.34342 | − | 2.15622i | −0.297815 | − | 0.0874464i | ||||
\(609\) | −4.03017 | − | 4.65107i | −0.163311 | − | 0.188471i | ||||
\(610\) | −2.38065 | − | 2.74741i | −0.0963896 | − | 0.111239i | ||||
\(611\) | −12.4138 | − | 3.64501i | −0.502207 | − | 0.147461i | ||||
\(612\) | 0.240367 | − | 0.526330i | 0.00971626 | − | 0.0212756i | ||||
\(613\) | 7.25054 | + | 4.65964i | 0.292847 | + | 0.188201i | 0.678812 | − | 0.734312i | \(-0.262495\pi\) |
−0.385965 | + | 0.922513i | \(0.626132\pi\) | |||||||
\(614\) | −3.49735 | + | 1.02691i | −0.141142 | + | 0.0414429i | ||||
\(615\) | 1.20992 | − | 8.41518i | 0.0487887 | − | 0.339333i | ||||
\(616\) | −1.85737 | − | 4.06708i | −0.0748356 | − | 0.163867i | ||||
\(617\) | 3.93950 | + | 27.3998i | 0.158598 | + | 1.10308i | 0.901219 | + | 0.433364i | \(0.142673\pi\) |
−0.742621 | + | 0.669712i | \(0.766418\pi\) | |||||||
\(618\) | 12.1328 | − | 7.79730i | 0.488054 | − | 0.313653i | ||||
\(619\) | 2.53314 | − | 2.92340i | 0.101815 | − | 0.117501i | −0.702555 | − | 0.711630i | \(-0.747957\pi\) |
0.804370 | + | 0.594128i | \(0.202503\pi\) | |||||||
\(620\) | 3.41590 | 0.137186 | ||||||||
\(621\) | −3.58659 | − | 3.18377i | −0.143925 | − | 0.127760i | ||||
\(622\) | 29.8644 | 1.19745 | ||||||||
\(623\) | 8.70545 | − | 10.0466i | 0.348777 | − | 0.402510i | ||||
\(624\) | −5.60569 | + | 3.60256i | −0.224407 | + | 0.144218i | ||||
\(625\) | −0.142315 | − | 0.989821i | −0.00569259 | − | 0.0395929i | ||||
\(626\) | 0.939940 | + | 2.05818i | 0.0375676 | + | 0.0822615i | ||||
\(627\) | 1.01812 | − | 7.08119i | 0.0406599 | − | 0.282796i | ||||
\(628\) | 8.79120 | − | 2.58133i | 0.350807 | − | 0.103006i | ||||
\(629\) | 1.36584 | + | 0.877770i | 0.0544595 | + | 0.0349990i | ||||
\(630\) | 1.98704 | − | 4.35100i | 0.0791654 | − | 0.173348i | ||||
\(631\) | −17.5707 | − | 5.15923i | −0.699480 | − | 0.205386i | −0.0873903 | − | 0.996174i | \(-0.527853\pi\) |
−0.612090 | + | 0.790788i | \(0.709671\pi\) | |||||||
\(632\) | 2.79093 | + | 3.22091i | 0.111017 | + | 0.128121i | ||||
\(633\) | −9.84286 | − | 11.3593i | −0.391218 | − | 0.451490i | ||||
\(634\) | 2.27776 | + | 0.668811i | 0.0904615 | + | 0.0265619i | ||||
\(635\) | −6.37049 | + | 13.9494i | −0.252805 | + | 0.553566i | ||||
\(636\) | 7.98532 | + | 5.13186i | 0.316639 | + | 0.203491i | ||||
\(637\) | −101.527 | + | 29.8110i | −4.02265 | + | 1.18116i | ||||
\(638\) | −0.171157 | + | 1.19042i | −0.00677616 | + | 0.0471293i | ||||
\(639\) | 4.22130 | + | 9.24337i | 0.166992 | + | 0.365662i | ||||
\(640\) | 0.142315 | + | 0.989821i | 0.00562549 | + | 0.0391261i | ||||
\(641\) | 37.0696 | − | 23.8232i | 1.46416 | − | 0.940960i | 0.465733 | − | 0.884925i | \(-0.345791\pi\) |
0.998429 | − | 0.0560347i | \(-0.0178458\pi\) | |||||||
\(642\) | 2.00423 | − | 2.31300i | 0.0791006 | − | 0.0912870i | ||||
\(643\) | −14.6599 | −0.578132 | −0.289066 | − | 0.957309i | \(-0.593345\pi\) | ||||
−0.289066 | + | 0.957309i | \(0.593345\pi\) | |||||||
\(644\) | 20.7511 | + | 9.77863i | 0.817707 | + | 0.385332i | ||||
\(645\) | 8.53610 | 0.336109 | ||||||||
\(646\) | −2.90000 | + | 3.34678i | −0.114099 | + | 0.131677i | ||||
\(647\) | −11.5633 | + | 7.43131i | −0.454602 | + | 0.292155i | −0.747833 | − | 0.663887i | \(-0.768906\pi\) |
0.293231 | + | 0.956041i | \(0.405269\pi\) | |||||||
\(648\) | −0.142315 | − | 0.989821i | −0.00559065 | − | 0.0388839i | ||||
\(649\) | 4.40792 | + | 9.65201i | 0.173026 | + | 0.378874i | ||||
\(650\) | −0.948315 | + | 6.59568i | −0.0371960 | + | 0.258704i | ||||
\(651\) | 15.6772 | − | 4.60326i | 0.614440 | − | 0.180416i | ||||
\(652\) | 11.4849 | + | 7.38090i | 0.449784 | + | 0.289058i | ||||
\(653\) | −5.63336 | + | 12.3353i | −0.220450 | + | 0.482719i | −0.987252 | − | 0.159165i | \(-0.949120\pi\) |
0.766802 | + | 0.641884i | \(0.221847\pi\) | |||||||
\(654\) | 0.00535590 | + | 0.00157264i | 0.000209432 | + | 6.14949e-5i | ||||
\(655\) | 11.1893 | + | 12.9131i | 0.437201 | + | 0.504557i | ||||
\(656\) | 5.56744 | + | 6.42517i | 0.217372 | + | 0.250861i | ||||
\(657\) | 12.4010 | + | 3.64126i | 0.483809 | + | 0.142059i | ||||
\(658\) | −3.85802 | + | 8.44789i | −0.150401 | + | 0.329333i | ||||
\(659\) | 7.01787 | + | 4.51011i | 0.273377 | + | 0.175689i | 0.670145 | − | 0.742230i | \(-0.266232\pi\) |
−0.396768 | + | 0.917919i | \(0.629868\pi\) | |||||||
\(660\) | −0.896881 | + | 0.263348i | −0.0349111 | + | 0.0102508i | ||||
\(661\) | 0.589592 | − | 4.10070i | 0.0229325 | − | 0.159499i | −0.975137 | − | 0.221602i | \(-0.928872\pi\) |
0.998070 | + | 0.0621028i | \(0.0197807\pi\) | |||||||
\(662\) | −12.6798 | − | 27.7648i | −0.492813 | − | 1.07911i | ||||
\(663\) | 0.548713 | + | 3.81638i | 0.0213102 | + | 0.148216i | ||||
\(664\) | −2.29617 | + | 1.47566i | −0.0891088 | + | 0.0572667i | ||||
\(665\) | −23.9734 | + | 27.6667i | −0.929647 | + | 1.07287i | ||||
\(666\) | 2.80595 | 0.108728 | ||||||||
\(667\) | −3.27360 | − | 5.23046i | −0.126754 | − | 0.202524i | ||||
\(668\) | 18.7678 | 0.726148 | ||||||||
\(669\) | −5.93501 | + | 6.84937i | −0.229461 | + | 0.264812i | ||||
\(670\) | 8.10864 | − | 5.21111i | 0.313264 | − | 0.201323i | ||||
\(671\) | 0.483603 | + | 3.36353i | 0.0186693 | + | 0.129848i | ||||
\(672\) | 1.98704 | + | 4.35100i | 0.0766516 | + | 0.167844i | ||||
\(673\) | 2.53714 | − | 17.6462i | 0.0977995 | − | 0.680210i | −0.880657 | − | 0.473755i | \(-0.842898\pi\) |
0.978456 | − | 0.206455i | \(-0.0661928\pi\) | |||||||
\(674\) | −19.2077 | + | 5.63989i | −0.739853 | + | 0.217240i | ||||
\(675\) | −0.841254 | − | 0.540641i | −0.0323799 | − | 0.0208093i | ||||
\(676\) | 13.0450 | − | 28.5645i | 0.501730 | − | 1.09863i | ||||
\(677\) | 25.1399 | + | 7.38173i | 0.966204 | + | 0.283703i | 0.726518 | − | 0.687147i | \(-0.241137\pi\) |
0.239686 | + | 0.970851i | \(0.422956\pi\) | |||||||
\(678\) | −2.74614 | − | 3.16921i | −0.105465 | − | 0.121713i | ||||
\(679\) | −17.1429 | − | 19.7840i | −0.657885 | − | 0.759240i | ||||
\(680\) | 0.555181 | + | 0.163016i | 0.0212902 | + | 0.00625137i | ||||
\(681\) | 1.67002 | − | 3.65683i | 0.0639953 | − | 0.140130i | ||||
\(682\) | −2.68611 | − | 1.72626i | −0.102857 | − | 0.0661019i | ||||
\(683\) | −17.7946 | + | 5.22496i | −0.680891 | + | 0.199928i | −0.603847 | − | 0.797100i | \(-0.706366\pi\) |
−0.0770437 | + | 0.997028i | \(0.524548\pi\) | |||||||
\(684\) | −1.08920 | + | 7.57554i | −0.0416465 | + | 0.289658i | ||||
\(685\) | −5.46367 | − | 11.9638i | −0.208756 | − | 0.457112i | ||||
\(686\) | 6.04454 | + | 42.0407i | 0.230782 | + | 1.60512i | ||||
\(687\) | −7.52072 | + | 4.83328i | −0.286934 | + | 0.184401i | ||||
\(688\) | −5.58996 | + | 6.45116i | −0.213115 | + | 0.245948i | ||||
\(689\) | −63.2511 | −2.40968 | ||||||||
\(690\) | 2.64094 | − | 4.00318i | 0.100539 | − | 0.152398i | ||||
\(691\) | −6.03026 | −0.229402 | −0.114701 | − | 0.993400i | \(-0.536591\pi\) | ||||
−0.114701 | + | 0.993400i | \(0.536591\pi\) | |||||||
\(692\) | −2.86818 | + | 3.31006i | −0.109032 | + | 0.125830i | ||||
\(693\) | −3.76135 | + | 2.41727i | −0.142882 | + | 0.0918245i | ||||
\(694\) | 1.36267 | + | 9.47756i | 0.0517261 | + | 0.359763i | ||||
\(695\) | 3.86291 | + | 8.45860i | 0.146529 | + | 0.320853i | ||||
\(696\) | 0.183105 | − | 1.27353i | 0.00694059 | − | 0.0482729i | ||||
\(697\) | 4.71999 | − | 1.38591i | 0.178782 | − | 0.0524952i | ||||
\(698\) | −4.11891 | − | 2.64707i | −0.155903 | − | 0.100193i | ||||
\(699\) | 8.85777 | − | 19.3958i | 0.335032 | − | 0.733617i | ||||
\(700\) | 4.58950 | + | 1.34760i | 0.173467 | + | 0.0509344i | ||||
\(701\) | −8.99626 | − | 10.3822i | −0.339784 | − | 0.392132i | 0.559982 | − | 0.828505i | \(-0.310808\pi\) |
−0.899766 | + | 0.436373i | \(0.856263\pi\) | |||||||
\(702\) | 4.36367 | + | 5.03594i | 0.164696 | + | 0.190069i | ||||
\(703\) | −20.6053 | − | 6.05025i | −0.777142 | − | 0.228189i | ||||
\(704\) | 0.388307 | − | 0.850274i | 0.0146349 | − | 0.0320459i | ||||
\(705\) | 1.63337 | + | 1.04971i | 0.0615165 | + | 0.0395342i | ||||
\(706\) | 6.73924 | − | 1.97882i | 0.253635 | − | 0.0744738i | ||||
\(707\) | 12.0710 | − | 83.9558i | 0.453978 | − | 3.15748i | ||||
\(708\) | −4.71564 | − | 10.3258i | −0.177225 | − | 0.388068i | ||||
\(709\) | 3.82009 | + | 26.5693i | 0.143467 | + | 0.997832i | 0.926619 | + | 0.376002i | \(0.122701\pi\) |
−0.783152 | + | 0.621830i | \(0.786389\pi\) | |||||||
\(710\) | −8.54853 | + | 5.49381i | −0.320821 | + | 0.206179i | ||||
\(711\) | 2.79093 | − | 3.22091i | 0.104668 | − | 0.120793i | ||||
\(712\) | 2.77919 | 0.104155 | ||||||||
\(713\) | 16.2421 | − | 2.13711i | 0.608270 | − | 0.0800352i | ||||
\(714\) | 2.76768 | 0.103578 | ||||||||
\(715\) | 4.07891 | − | 4.70732i | 0.152543 | − | 0.176044i | ||||
\(716\) | −0.391588 | + | 0.251658i | −0.0146343 | + | 0.00940490i | ||||
\(717\) | 3.89256 | + | 27.0734i | 0.145370 | + | 1.01107i | ||||
\(718\) | −12.7164 | − | 27.8451i | −0.474573 | − | 1.03917i | ||||
\(719\) | −2.25659 | + | 15.6949i | −0.0841566 | + | 0.585322i | 0.903488 | + | 0.428613i | \(0.140998\pi\) |
−0.987645 | + | 0.156709i | \(0.949912\pi\) | |||||||
\(720\) | 0.959493 | − | 0.281733i | 0.0357582 | − | 0.0104996i | ||||
\(721\) | 58.0344 | + | 37.2965i | 2.16131 | + | 1.38899i | ||||
\(722\) | 16.4401 | − | 35.9988i | 0.611837 | − | 1.33974i | ||||
\(723\) | −7.58077 | − | 2.22591i | −0.281932 | − | 0.0827827i | ||||
\(724\) | −7.39797 | − | 8.53771i | −0.274943 | − | 0.317301i | ||||
\(725\) | −0.842558 | − | 0.972364i | −0.0312918 | − | 0.0361127i | ||||
\(726\) | −9.71607 | − | 2.85289i | −0.360597 | − | 0.105881i | ||||
\(727\) | −5.44771 | + | 11.9288i | −0.202044 | + | 0.442416i | −0.983347 | − | 0.181736i | \(-0.941828\pi\) |
0.781303 | + | 0.624152i | \(0.214555\pi\) | |||||||
\(728\) | −26.8135 | − | 17.2320i | −0.993773 | − | 0.638659i | ||||
\(729\) | −0.959493 | + | 0.281733i | −0.0355368 | + | 0.0104345i | ||||
\(730\) | −1.83935 | + | 12.7930i | −0.0680776 | + | 0.473490i | ||||
\(731\) | 2.05180 | + | 4.49281i | 0.0758885 | + | 0.166173i | ||||
\(732\) | −0.517364 | − | 3.59835i | −0.0191223 | − | 0.132999i | ||||
\(733\) | 30.4333 | − | 19.5583i | 1.12408 | − | 0.722402i | 0.159763 | − | 0.987155i | \(-0.448927\pi\) |
0.964316 | + | 0.264754i | \(0.0852907\pi\) | |||||||
\(734\) | −14.0448 | + | 16.2085i | −0.518401 | + | 0.598267i | ||||
\(735\) | 15.8795 | 0.585725 | ||||||||
\(736\) | 1.29595 | + | 4.61741i | 0.0477695 | + | 0.170200i | ||||
\(737\) | −9.00978 | −0.331879 | ||||||||
\(738\) | 5.56744 | − | 6.42517i | 0.204940 | − | 0.236514i | ||||
\(739\) | −4.09526 | + | 2.63186i | −0.150646 | + | 0.0968146i | −0.613793 | − | 0.789467i | \(-0.710357\pi\) |
0.463146 | + | 0.886282i | \(0.346721\pi\) | |||||||
\(740\) | 0.399328 | + | 2.77739i | 0.0146796 | + | 0.102099i | ||||
\(741\) | −21.1856 | − | 46.3900i | −0.778273 | − | 1.70418i | ||||
\(742\) | −6.46159 | + | 44.9413i | −0.237212 | + | 1.64985i | ||||
\(743\) | −37.9060 | + | 11.1302i | −1.39064 | + | 0.408327i | −0.889458 | − | 0.457017i | \(-0.848918\pi\) |
−0.501177 | + | 0.865345i | \(0.667100\pi\) | |||||||
\(744\) | 2.87363 | + | 1.84677i | 0.105353 | + | 0.0677060i | ||||
\(745\) | 1.91494 | − | 4.19314i | 0.0701581 | − | 0.153625i | ||||
\(746\) | 8.48887 | + | 2.49256i | 0.310800 | + | 0.0912590i | ||||
\(747\) | 1.78742 | + | 2.06279i | 0.0653983 | + | 0.0754736i | ||||
\(748\) | −0.354189 | − | 0.408755i | −0.0129504 | − | 0.0149456i | ||||
\(749\) | 14.0464 | + | 4.12438i | 0.513243 | + | 0.150702i | ||||
\(750\) | 0.415415 | − | 0.909632i | 0.0151688 | − | 0.0332151i | ||||
\(751\) | 30.5452 | + | 19.6302i | 1.11461 | + | 0.716315i | 0.962293 | − | 0.272016i | \(-0.0876905\pi\) |
0.152316 | + | 0.988332i | \(0.451327\pi\) | |||||||
\(752\) | −1.86295 | + | 0.547011i | −0.0679347 | + | 0.0199474i | ||||
\(753\) | −2.69468 | + | 18.7419i | −0.0981996 | + | 0.682993i | ||||
\(754\) | 3.56152 | + | 7.79865i | 0.129703 | + | 0.284010i | ||||
\(755\) | 0.795273 | + | 5.53124i | 0.0289429 | + | 0.201303i | ||||
\(756\) | 4.02393 | − | 2.58602i | 0.146349 | − | 0.0940527i | ||||
\(757\) | 27.1611 | − | 31.3456i | 0.987187 | − | 1.13927i | −0.00306619 | − | 0.999995i | \(-0.500976\pi\) |
0.990253 | − | 0.139279i | \(-0.0444785\pi\) | |||||||
\(758\) | 19.7472 | 0.717252 | ||||||||
\(759\) | −4.09977 | + | 1.81330i | −0.148812 | + | 0.0658186i | ||||
\(760\) | −7.65344 | −0.277619 | ||||||||
\(761\) | 15.4767 | − | 17.8610i | 0.561029 | − | 0.647462i | −0.402388 | − | 0.915469i | \(-0.631820\pi\) |
0.963417 | + | 0.268007i | \(0.0863650\pi\) | |||||||
\(762\) | −12.9008 | + | 8.29085i | −0.467347 | + | 0.300346i | ||||
\(763\) | 0.00379983 | + | 0.0264284i | 0.000137563 | + | 0.000956773i | ||||
\(764\) | −8.93130 | − | 19.5568i | −0.323123 | − | 0.707541i | ||||
\(765\) | 0.0823460 | − | 0.572729i | 0.00297723 | − | 0.0207071i | ||||
\(766\) | −0.609188 | + | 0.178874i | −0.0220109 | + | 0.00646297i | ||||
\(767\) | 63.6339 | + | 40.8950i | 2.29769 | + | 1.47663i | ||||
\(768\) | −0.415415 | + | 0.909632i | −0.0149900 | + | 0.0328235i | ||||
\(769\) | 28.4756 | + | 8.36120i | 1.02686 | + | 0.301513i | 0.751432 | − | 0.659810i | \(-0.229363\pi\) |
0.275425 | + | 0.961323i | \(0.411181\pi\) | |||||||
\(770\) | −2.92796 | − | 3.37905i | −0.105516 | − | 0.121772i | ||||
\(771\) | 2.06106 | + | 2.37859i | 0.0742271 | + | 0.0856627i | ||||
\(772\) | 10.9545 | + | 3.21654i | 0.394262 | + | 0.115766i | ||||
\(773\) | −9.71312 | + | 21.2688i | −0.349357 | + | 0.764984i | 0.650628 | + | 0.759397i | \(0.274506\pi\) |
−0.999984 | + | 0.00558740i | \(0.998221\pi\) | |||||||
\(774\) | 7.18103 | + | 4.61497i | 0.258117 | + | 0.165882i | ||||
\(775\) | 3.27753 | − | 0.962369i | 0.117732 | − | 0.0345693i | ||||
\(776\) | 0.778866 | − | 5.41713i | 0.0279596 | − | 0.194464i | ||||
\(777\) | 5.57552 | + | 12.2087i | 0.200021 | + | 0.437984i | ||||
\(778\) | −4.05086 | − | 28.1743i | −0.145230 | − | 1.01010i | ||||
\(779\) | −54.7381 | + | 35.1781i | −1.96120 | + | 1.26039i | ||||
\(780\) | −4.36367 | + | 5.03594i | −0.156244 | + | 0.180316i | ||||
\(781\) | 9.49855 | 0.339885 | ||||||||
\(782\) | 2.74179 | + | 0.427774i | 0.0980461 | + | 0.0152972i | ||||
\(783\) | −1.28662 | −0.0459801 | ||||||||
\(784\) | −10.3989 | + | 12.0009i | −0.371388 | + | 0.428605i | ||||
\(785\) | 7.70785 | − | 4.95353i | 0.275105 | − | 0.176799i | ||||
\(786\) | 2.43166 | + | 16.9126i | 0.0867345 | + | 0.603252i | ||||
\(787\) | 6.21057 | + | 13.5993i | 0.221383 | + | 0.484761i | 0.987437 | − | 0.158015i | \(-0.0505096\pi\) |
−0.766054 | + | 0.642777i | \(0.777782\pi\) | |||||||
\(788\) | 1.03807 | − | 7.21997i | 0.0369799 | − | 0.257201i | ||||
\(789\) | 22.8073 | − | 6.69684i | 0.811963 | − | 0.238414i | ||||
\(790\) | 3.58531 | + | 2.30414i | 0.127560 | + | 0.0819777i | ||||
\(791\) | 8.33257 | − | 18.2458i | 0.296272 | − | 0.648745i | ||||
\(792\) | −0.896881 | − | 0.263348i | −0.0318693 | − | 0.00935767i | ||||
\(793\) | 15.8634 | + | 18.3074i | 0.563327 | + | 0.650114i | ||||
\(794\) | −8.12099 | − | 9.37212i | −0.288203 | − | 0.332604i | ||||
\(795\) | 9.10767 | + | 2.67425i | 0.323016 | + | 0.0948460i | ||||
\(796\) | 0.576890 | − | 1.26321i | 0.0204473 | − | 0.0447734i | ||||
\(797\) | −2.10888 | − | 1.35529i | −0.0747003 | − | 0.0480070i | 0.502758 | − | 0.864427i | \(-0.332319\pi\) |
−0.577458 | + | 0.816420i | \(0.695955\pi\) | |||||||
\(798\) | −35.1254 | + | 10.3138i | −1.24343 | + | 0.365103i | ||||
\(799\) | −0.159883 | + | 1.11201i | −0.00565625 | + | 0.0393401i | ||||
\(800\) | 0.415415 | + | 0.909632i | 0.0146871 | + | 0.0321603i | ||||
\(801\) | −0.395521 | − | 2.75091i | −0.0139750 | − | 0.0971985i | ||||
\(802\) | 5.43100 | − | 3.49029i | 0.191775 | − | 0.123247i | ||||
\(803\) | 7.91147 | − | 9.13032i | 0.279190 | − | 0.322202i | ||||
\(804\) | 9.63876 | 0.339933 | ||||||||
\(805\) | 22.6655 | + | 3.53627i | 0.798853 | + | 0.124637i | ||||
\(806\) | −22.7618 | −0.801751 | ||||||||
\(807\) | −17.7125 | + | 20.4413i | −0.623509 | + | 0.719567i | ||||
\(808\) | 14.9175 | − | 9.58693i | 0.524797 | − | 0.337267i | ||||
\(809\) | −4.95382 | − | 34.4545i | −0.174167 | − | 1.21136i | −0.869963 | − | 0.493118i | \(-0.835857\pi\) |
0.695796 | − | 0.718240i | \(-0.255052\pi\) | |||||||
\(810\) | −0.415415 | − | 0.909632i | −0.0145962 | − | 0.0319612i | ||||
\(811\) | 4.85432 | − | 33.7625i | 0.170458 | − | 1.18556i | −0.707461 | − | 0.706753i | \(-0.750159\pi\) |
0.877919 | − | 0.478810i | \(-0.158932\pi\) | |||||||
\(812\) | 5.90495 | − | 1.73385i | 0.207223 | − | 0.0608462i | ||||
\(813\) | −19.9363 | − | 12.8123i | −0.699197 | − | 0.449347i | ||||
\(814\) | 1.08957 | − | 2.38582i | 0.0381894 | − | 0.0836231i | ||||
\(815\) | 13.0991 | + | 3.84625i | 0.458843 | + | 0.134728i | ||||
\(816\) | 0.378915 | + | 0.437291i | 0.0132647 | + | 0.0153082i | ||||
\(817\) | −42.7824 | − | 49.3735i | −1.49677 | − | 1.72736i | ||||
\(818\) | −10.5362 | − | 3.09372i | −0.368391 | − | 0.108169i | ||||
\(819\) | −13.2406 | + | 28.9929i | −0.462665 | + | 1.01309i | ||||
\(820\) | 7.15210 | + | 4.59637i | 0.249762 | + | 0.160512i | ||||
\(821\) | 24.5713 | − | 7.21479i | 0.857545 | − | 0.251798i | 0.176735 | − | 0.984258i | \(-0.443446\pi\) |
0.680810 | + | 0.732460i | \(0.261628\pi\) | |||||||
\(822\) | 1.87177 | − | 13.0184i | 0.0652855 | − | 0.454070i | ||||
\(823\) | −7.53519 | − | 16.4998i | −0.262660 | − | 0.575145i | 0.731649 | − | 0.681682i | \(-0.238751\pi\) |
−0.994309 | + | 0.106536i | \(0.966024\pi\) | |||||||
\(824\) | 2.05251 | + | 14.2755i | 0.0715026 | + | 0.497312i | ||||
\(825\) | −0.786357 | + | 0.505361i | −0.0273775 | + | 0.0175944i | ||||
\(826\) | 35.5575 | − | 41.0356i | 1.23720 | − | 1.42781i | ||||
\(827\) | −34.9870 | −1.21662 | −0.608309 | − | 0.793700i | \(-0.708152\pi\) | ||||
−0.608309 | + | 0.793700i | \(0.708152\pi\) | |||||||
\(828\) | 4.38598 | − | 1.93989i | 0.152423 | − | 0.0674158i | ||||
\(829\) | 24.6616 | 0.856533 | 0.428267 | − | 0.903652i | \(-0.359124\pi\) | ||||
0.428267 | + | 0.903652i | \(0.359124\pi\) | |||||||
\(830\) | −1.78742 | + | 2.06279i | −0.0620422 | + | 0.0716006i | ||||
\(831\) | −5.66772 | + | 3.64242i | −0.196611 | + | 0.126354i | ||||
\(832\) | −0.948315 | − | 6.59568i | −0.0328769 | − | 0.228664i | ||||
\(833\) | 3.81691 | + | 8.35787i | 0.132248 | + | 0.289583i | ||||
\(834\) | −1.32337 | + | 9.20427i | −0.0458247 | + | 0.318718i | ||||
\(835\) | 18.0076 | − | 5.28750i | 0.623178 | − | 0.182982i | ||||
\(836\) | 6.01834 | + | 3.86775i | 0.208149 | + | 0.133769i | ||||
\(837\) | 1.41901 | − | 3.10721i | 0.0490483 | − | 0.107401i | ||||
\(838\) | 4.57276 | + | 1.34268i | 0.157963 | + | 0.0463822i | ||||
\(839\) | 12.4615 | + | 14.3813i | 0.430219 | + | 0.496499i | 0.928923 | − | 0.370274i | \(-0.120736\pi\) |
−0.498704 | + | 0.866772i | \(0.666191\pi\) | |||||||
\(840\) | 3.13237 | + | 3.61494i | 0.108077 | + | 0.124727i | ||||
\(841\) | 26.2370 | + | 7.70387i | 0.904723 | + | 0.265651i | ||||
\(842\) | 8.60177 | − | 18.8353i | 0.296437 | − | 0.649106i | ||||
\(843\) | −10.2275 | − | 6.57281i | −0.352253 | − | 0.226380i | ||||
\(844\) | 14.4216 | − | 4.23457i | 0.496413 | − | 0.145760i | ||||
\(845\) | 4.46901 | − | 31.0826i | 0.153739 | − | 1.06928i | ||||
\(846\) | 0.806568 | + | 1.76614i | 0.0277304 | + | 0.0607211i | ||||
\(847\) | −6.89322 | − | 47.9434i | −0.236854 | − | 1.64736i | ||||
\(848\) | −7.98532 | + | 5.13186i | −0.274217 | + | 0.176229i | ||||
\(849\) | 7.62271 | − | 8.79707i | 0.261611 | − | 0.301915i | ||||
\(850\) | 0.578619 | 0.0198465 | ||||||||
\(851\) | 3.63638 | + | 12.9562i | 0.124653 | + | 0.444134i | ||||
\(852\) | −10.1617 | −0.348133 | ||||||||
\(853\) | −21.6539 | + | 24.9899i | −0.741414 | + | 0.855637i | −0.993707 | − | 0.112014i | \(-0.964270\pi\) |
0.252293 | + | 0.967651i | \(0.418815\pi\) | |||||||
\(854\) | 14.6284 | − | 9.40109i | 0.500573 | − | 0.321699i | ||||
\(855\) | 1.08920 | + | 7.57554i | 0.0372498 | + | 0.259078i | ||||
\(856\) | 1.27140 | + | 2.78397i | 0.0434554 | + | 0.0951541i | ||||
\(857\) | 6.86165 | − | 47.7238i | 0.234390 | − | 1.63022i | −0.444362 | − | 0.895847i | \(-0.646570\pi\) |
0.678752 | − | 0.734368i | \(-0.262521\pi\) | |||||||
\(858\) | 5.97637 | − | 1.75482i | 0.204030 | − | 0.0599086i | ||||
\(859\) | 7.52601 | + | 4.83668i | 0.256784 | + | 0.165025i | 0.662699 | − | 0.748886i | \(-0.269411\pi\) |
−0.405915 | + | 0.913911i | \(0.633047\pi\) | |||||||
\(860\) | −3.54603 | + | 7.76471i | −0.120918 | + | 0.264775i | ||||
\(861\) | 39.0186 | + | 11.4569i | 1.32975 | + | 0.390450i | ||||
\(862\) | 10.5945 | + | 12.2267i | 0.360850 | + | 0.416444i | ||||
\(863\) | 35.8955 | + | 41.4256i | 1.22190 | + | 1.41014i | 0.883035 | + | 0.469307i | \(0.155496\pi\) |
0.338861 | + | 0.940837i | \(0.389958\pi\) | |||||||
\(864\) | 0.959493 | + | 0.281733i | 0.0326426 | + | 0.00958474i | ||||
\(865\) | −1.81945 | + | 3.98404i | −0.0618631 | + | 0.135461i | ||||
\(866\) | 23.4165 | + | 15.0488i | 0.795723 | + | 0.511380i | ||||
\(867\) | −15.9901 | + | 4.69513i | −0.543054 | + | 0.159455i | ||||
\(868\) | −2.32530 | + | 16.1728i | −0.0789257 | + | 0.548940i | ||||
\(869\) | −1.65491 | − | 3.62376i | −0.0561391 | − | 0.122928i | ||||
\(870\) | −0.183105 | − | 1.27353i | −0.00620786 | − | 0.0431766i | ||||
\(871\) | −54.0319 | + | 34.7242i | −1.83080 | + | 1.17659i | ||||
\(872\) | −0.00365544 | + | 0.00421860i | −0.000123789 | + | 0.000142860i | ||||
\(873\) | −5.47283 | −0.185227 | ||||||||
\(874\) | −36.3909 | + | 4.78826i | −1.23094 | + | 0.161965i | ||||
\(875\) | 4.78325 | 0.161704 | ||||||||
\(876\) | −8.46378 | + | 9.76772i | −0.285964 | + | 0.330021i | ||||
\(877\) | −8.36195 | + | 5.37390i | −0.282363 | + | 0.181464i | −0.674155 | − | 0.738590i | \(-0.735492\pi\) |
0.391791 | + | 0.920054i | \(0.371855\pi\) | |||||||
\(878\) | −2.82305 | − | 19.6347i | −0.0952733 | − | 0.662641i | ||||
\(879\) | 0.985671 | + | 2.15832i | 0.0332459 | + | 0.0727983i | ||||
\(880\) | 0.133028 | − | 0.925231i | 0.00448438 | − | 0.0311895i | ||||
\(881\) | 19.7155 | − | 5.78899i | 0.664232 | − | 0.195036i | 0.0677991 | − | 0.997699i | \(-0.478402\pi\) |
0.596433 | + | 0.802663i | \(0.296584\pi\) | |||||||
\(882\) | 13.3587 | + | 8.58512i | 0.449811 | + | 0.289076i | ||||
\(883\) | −6.63807 | + | 14.5354i | −0.223389 | + | 0.489154i | −0.987829 | − | 0.155541i | \(-0.950288\pi\) |
0.764441 | + | 0.644694i | \(0.223015\pi\) | |||||||
\(884\) | −3.69945 | − | 1.08626i | −0.124426 | − | 0.0365347i | ||||
\(885\) | −7.43375 | − | 8.57900i | −0.249883 | − | 0.288380i | ||||
\(886\) | −18.8818 | − | 21.7907i | −0.634345 | − | 0.732073i | ||||
\(887\) | −17.4365 | − | 5.11982i | −0.585460 | − | 0.171907i | −0.0244295 | − | 0.999702i | \(-0.507777\pi\) |
−0.561031 | + | 0.827795i | \(0.689595\pi\) | |||||||
\(888\) | −1.16563 | + | 2.55238i | −0.0391161 | + | 0.0856523i | ||||
\(889\) | −61.7079 | − | 39.6573i | −2.06962 | − | 1.33006i | ||||
\(890\) | 2.66662 | − | 0.782989i | 0.0893852 | − | 0.0262459i | ||||
\(891\) | −0.133028 | + | 0.925231i | −0.00445661 | + | 0.0309964i | ||||
\(892\) | −3.76491 | − | 8.24401i | −0.126059 | − | 0.276030i | ||||
\(893\) | −2.11478 | − | 14.7086i | −0.0707685 | − | 0.492206i | ||||
\(894\) | 3.87794 | − | 2.49220i | 0.129698 | − | 0.0833516i | ||||
\(895\) | −0.304825 | + | 0.351787i | −0.0101892 | + | 0.0117589i | ||||
\(896\) | −4.78325 | −0.159797 | ||||||||
\(897\) | −17.5979 | + | 26.6752i | −0.587577 | + | 0.890659i | ||||
\(898\) | 33.5540 | 1.11971 | ||||||||
\(899\) | 2.87809 | − | 3.32149i | 0.0959897 | − | 0.110778i | ||||
\(900\) | 0.841254 | − | 0.540641i | 0.0280418 | − | 0.0180214i | ||||
\(901\) | 0.781643 | + | 5.43644i | 0.0260403 | + | 0.181114i | ||||
\(902\) | −3.30128 | − | 7.22879i | −0.109920 | − | 0.240692i | ||||
\(903\) | −5.81077 | + | 40.4148i | −0.193370 | + | 1.34492i | ||||
\(904\) | 4.02360 | − | 1.18144i | 0.133823 | − | 0.0392940i | ||||
\(905\) | −9.50365 | − | 6.10762i | −0.315912 | − | 0.203024i | ||||
\(906\) | −2.32139 | + | 5.08314i | −0.0771230 | + | 0.168876i | ||||
\(907\) | −5.90241 | − | 1.73310i | −0.195986 | − | 0.0575468i | 0.182266 | − | 0.983249i | \(-0.441657\pi\) |
−0.378253 | + | 0.925702i | \(0.623475\pi\) | |||||||
\(908\) | 2.63262 | + | 3.03821i | 0.0873666 | + | 0.100826i | ||||
\(909\) | −11.6123 | − | 13.4013i | −0.385157 | − | 0.444495i | ||||
\(910\) | −30.5821 | − | 8.97973i | −1.01379 | − | 0.297675i | ||||
\(911\) | 22.9774 | − | 50.3135i | 0.761275 | − | 1.66696i | 0.0163012 | − | 0.999867i | \(-0.494811\pi\) |
0.744974 | − | 0.667093i | \(-0.232462\pi\) | |||||||
\(912\) | −6.43848 | − | 4.13776i | −0.213199 | − | 0.137015i | ||||
\(913\) | 2.44801 | − | 0.718799i | 0.0810172 | − | 0.0237888i | ||||
\(914\) | −3.85663 | + | 26.8234i | −0.127566 | + | 0.887241i | ||||
\(915\) | −1.51018 | − | 3.30683i | −0.0499249 | − | 0.109320i | ||||
\(916\) | −1.27228 | − | 8.84891i | −0.0420373 | − | 0.292376i | ||||
\(917\) | −68.7549 | + | 44.1861i | −2.27049 | + | 1.45915i | ||||
\(918\) | 0.378915 | − | 0.437291i | 0.0125060 | − | 0.0144327i | ||||
\(919\) | 1.69063 | 0.0557688 | 0.0278844 | − | 0.999611i | \(-0.491123\pi\) | ||||
0.0278844 | + | 0.999611i | \(0.491123\pi\) | |||||||
\(920\) | 2.54433 | + | 4.06526i | 0.0838842 | + | 0.134028i | ||||
\(921\) | −3.64500 | −0.120107 | ||||||||
\(922\) | −22.7401 | + | 26.2435i | −0.748907 | + | 0.864285i | ||||
\(923\) | 56.9631 | − | 36.6080i | 1.87496 | − | 1.20497i | ||||
\(924\) | −0.636307 | − | 4.42561i | −0.0209330 | − | 0.145592i | ||||
\(925\) | 1.16563 | + | 2.55238i | 0.0383258 | + | 0.0839217i | ||||
\(926\) | −4.15208 | + | 28.8783i | −0.136446 | + | 0.949001i | ||||
\(927\) | 13.8381 | − | 4.06324i | 0.454503 | − | 0.133454i | ||||
\(928\) | 1.08238 | + | 0.695600i | 0.0355307 | + | 0.0228342i | ||||
\(929\) | −16.9133 | + | 37.0349i | −0.554906 | + | 1.21507i | 0.399547 | + | 0.916713i | \(0.369167\pi\) |
−0.954453 | + | 0.298361i | \(0.903560\pi\) | |||||||
\(930\) | 3.27753 | + | 0.962369i | 0.107474 | + | 0.0315573i | ||||
\(931\) | −79.5871 | − | 91.8485i | −2.60836 | − | 3.01021i | ||||
\(932\) | 13.9634 | + | 16.1146i | 0.457387 | + | 0.527852i | ||||
\(933\) | 28.6547 | + | 8.41377i | 0.938111 | + | 0.275454i | ||||
\(934\) | 3.75616 | − | 8.22485i | 0.122905 | − | 0.269125i | ||||
\(935\) | −0.455001 | − | 0.292411i | −0.0148801 | − | 0.00956288i | ||||
\(936\) | −6.39358 | + | 1.87733i | −0.208981 | + | 0.0613623i | ||||
\(937\) | 6.78194 | − | 47.1695i | 0.221556 | − | 1.54096i | −0.510598 | − | 0.859820i | \(-0.670576\pi\) |
0.732154 | − | 0.681139i | \(-0.238515\pi\) | |||||||
\(938\) | 19.1526 | + | 41.9382i | 0.625353 | + | 1.36933i | ||||
\(939\) | 0.322009 | + | 2.23962i | 0.0105084 | + | 0.0730874i | ||||
\(940\) | −1.63337 | + | 1.04971i | −0.0532748 | + | 0.0342376i | ||||
\(941\) | −3.48469 | + | 4.02154i | −0.113598 | + | 0.131099i | −0.809700 | − | 0.586844i | \(-0.800370\pi\) |
0.696103 | + | 0.717942i | \(0.254916\pi\) | |||||||
\(942\) | 9.16234 | 0.298525 | ||||||||
\(943\) | 36.8828 | + | 17.3805i | 1.20107 | + | 0.565986i | ||||
\(944\) | 11.3516 | 0.369465 | ||||||||
\(945\) | 3.13237 | − | 3.61494i | 0.101896 | − | 0.117594i | ||||
\(946\) | 6.71243 | − | 4.31382i | 0.218240 | − | 0.140254i | ||||
\(947\) | 1.29919 | + | 9.03609i | 0.0422181 | + | 0.293633i | 0.999982 | + | 0.00607611i | \(0.00193410\pi\) |
−0.957763 | + | 0.287557i | \(0.907157\pi\) | |||||||
\(948\) | 1.77044 | + | 3.87673i | 0.0575014 | + | 0.125910i | ||||
\(949\) | 12.2565 | − | 85.2461i | 0.397864 | − | 2.76721i | ||||
\(950\) | −7.34342 | + | 2.15622i | −0.238252 | + | 0.0699571i | ||||
\(951\) | 1.99707 | + | 1.28344i | 0.0647595 | + | 0.0416184i | ||||
\(952\) | −1.14974 | + | 2.51757i | −0.0372632 | + | 0.0815949i | ||||
\(953\) | −26.0404 | − | 7.64614i | −0.843530 | − | 0.247683i | −0.168711 | − | 0.985666i | \(-0.553960\pi\) |
−0.674820 | + | 0.737983i | \(0.735779\pi\) | |||||||
\(954\) | 6.21605 | + | 7.17370i | 0.201252 | + | 0.232257i | ||||
\(955\) | −14.0793 | − | 16.2484i | −0.455596 | − | 0.525786i | ||||
\(956\) | −26.2438 | − | 7.70589i | −0.848786 | − | 0.249226i | ||||
\(957\) | −0.499604 | + | 1.09398i | −0.0161499 | + | 0.0353634i | ||||
\(958\) | 27.0537 | + | 17.3864i | 0.874065 | + | 0.561728i | ||||
\(959\) | 60.3626 | − | 17.7240i | 1.94921 | − | 0.572339i | ||||
\(960\) | −0.142315 | + | 0.989821i | −0.00459319 | + | 0.0319463i | ||||
\(961\) | −8.03066 | − | 17.5847i | −0.259054 | − | 0.567248i | ||||
\(962\) | −2.66092 | − | 18.5071i | −0.0857916 | − | 0.596694i | ||||
\(963\) | 2.57469 | − | 1.65465i | 0.0829683 | − | 0.0533205i | ||||
\(964\) | 5.17393 | − | 5.97103i | 0.166641 | − | 0.192314i | ||||
\(965\) | 11.4170 | 0.367526 | ||||||||
\(966\) | 17.1556 | + | 15.2288i | 0.551971 | + | 0.489978i | ||||
\(967\) | 53.9128 | 1.73372 | 0.866859 | − | 0.498553i | \(-0.166135\pi\) | ||||
0.866859 | + | 0.498553i | \(0.166135\pi\) | |||||||
\(968\) | 6.63128 | − | 7.65291i | 0.213138 | − | 0.245974i | ||||
\(969\) | −3.72543 | + | 2.39419i | −0.119678 | + | 0.0769123i | ||||
\(970\) | −0.778866 | − | 5.41713i | −0.0250079 | − | 0.173934i | ||||
\(971\) | 6.49889 | + | 14.2306i | 0.208559 | + | 0.456681i | 0.984786 | − | 0.173773i | \(-0.0555960\pi\) |
−0.776226 | + | 0.630454i | \(0.782869\pi\) | |||||||
\(972\) | 0.142315 | − | 0.989821i | 0.00456475 | − | 0.0317485i | ||||
\(973\) | −42.6774 | + | 12.5312i | −1.36817 | + | 0.401732i | ||||
\(974\) | 8.08043 | + | 5.19297i | 0.258914 | + | 0.166394i | ||||
\(975\) | −2.76812 | + | 6.06133i | −0.0886508 | + | 0.194118i | ||||
\(976\) | 3.48809 | + | 1.02420i | 0.111651 | + | 0.0327837i | ||||
\(977\) | 17.4473 | + | 20.1353i | 0.558188 | + | 0.644184i | 0.962771 | − | 0.270318i | \(-0.0871287\pi\) |
−0.404583 | + | 0.914501i | \(0.632583\pi\) | |||||||
\(978\) | 8.94025 | + | 10.3176i | 0.285878 | + | 0.329920i | ||||
\(979\) | −2.49261 | − | 0.731895i | −0.0796641 | − | 0.0233915i | ||||
\(980\) | −6.59659 | + | 14.4445i | −0.210720 | + | 0.461413i | ||||
\(981\) | 0.00469589 | + | 0.00301786i | 0.000149928 | + | 9.63530e-5i | ||||
\(982\) | −22.5985 | + | 6.63552i | −0.721148 | + | 0.211748i | ||||
\(983\) | −2.83425 | + | 19.7127i | −0.0903986 | + | 0.628736i | 0.893374 | + | 0.449315i | \(0.148332\pi\) |
−0.983772 | + | 0.179422i | \(0.942577\pi\) | |||||||
\(984\) | 3.53174 | + | 7.73343i | 0.112588 | + | 0.246533i | ||||
\(985\) | −1.03807 | − | 7.21997i | −0.0330758 | − | 0.230047i | ||||
\(986\) | 0.626283 | − | 0.402487i | 0.0199449 | − | 0.0128178i | ||||
\(987\) | −6.08179 | + | 7.01876i | −0.193586 | + | 0.223410i | ||||
\(988\) | 50.9987 | 1.62248 | ||||||||
\(989\) | −12.0029 | + | 39.1386i | −0.381671 | + | 1.24453i | ||||
\(990\) | −0.934745 | −0.0297081 | ||||||||
\(991\) | 31.4108 | − | 36.2500i | 0.997796 | − | 1.15152i | 0.00934850 | − | 0.999956i | \(-0.497024\pi\) |
0.988448 | − | 0.151562i | \(-0.0484303\pi\) | |||||||
\(992\) | −2.87363 | + | 1.84677i | −0.0912380 | + | 0.0586351i | ||||
\(993\) | −4.34389 | − | 30.2124i | −0.137849 | − | 0.958762i | ||||
\(994\) | −20.1916 | − | 44.2134i | −0.640438 | − | 1.40236i | ||||
\(995\) | 0.197634 | − | 1.37457i | 0.00626541 | − | 0.0435769i | ||||
\(996\) | −2.61890 | + | 0.768979i | −0.0829831 | + | 0.0243660i | ||||
\(997\) | 15.0055 | + | 9.64347i | 0.475230 | + | 0.305412i | 0.756241 | − | 0.654293i | \(-0.227034\pi\) |
−0.281012 | + | 0.959704i | \(0.590670\pi\) | |||||||
\(998\) | 1.19828 | − | 2.62386i | 0.0379307 | − | 0.0830567i | ||||
\(999\) | 2.69229 | + | 0.790527i | 0.0851802 | + | 0.0250112i |
(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 | 690.2.m.d.361.2 | yes | 20 | |
23.13 | even | 11 | inner | 690.2.m.d.151.2 | ✓ | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.d.151.2 | ✓ | 20 | 23.13 | even | 11 | inner | |
690.2.m.d.361.2 | yes | 20 | 1.1 | even | 1 | trivial |