Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(43,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.u (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(340\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 43.1 | ||
Character | \(\chi\) | \(=\) | 804.43 |
Dual form | 804.2.u.b.187.1 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{22}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41407 | + | 0.0203147i | −0.999897 | + | 0.0143646i | ||||
\(3\) | −0.841254 | + | 0.540641i | −0.485698 | + | 0.312139i | ||||
\(4\) | 1.99917 | − | 0.0574526i | 0.999587 | − | 0.0287263i | ||||
\(5\) | −3.35521 | − | 0.482407i | −1.50050 | − | 0.215739i | −0.657416 | − | 0.753527i | \(-0.728351\pi\) |
−0.843080 | + | 0.537789i | \(0.819260\pi\) | |||||||
\(6\) | 1.17861 | − | 0.781592i | 0.481164 | − | 0.319084i | ||||
\(7\) | −1.56720 | + | 3.43169i | −0.592346 | + | 1.29706i | 0.341668 | + | 0.939821i | \(0.389008\pi\) |
−0.934014 | + | 0.357236i | \(0.883719\pi\) | |||||||
\(8\) | −2.82580 | + | 0.121854i | −0.999072 | + | 0.0430821i | ||||
\(9\) | 0.415415 | − | 0.909632i | 0.138472 | − | 0.303211i | ||||
\(10\) | 4.75430 | + | 0.613996i | 1.50344 | + | 0.194162i | ||||
\(11\) | −0.610801 | + | 4.24822i | −0.184163 | + | 1.28089i | 0.662623 | + | 0.748953i | \(0.269443\pi\) |
−0.846787 | + | 0.531932i | \(0.821466\pi\) | |||||||
\(12\) | −1.65075 | + | 1.12917i | −0.476531 | + | 0.325963i | ||||
\(13\) | −1.32456 | + | 4.51105i | −0.367368 | + | 1.25114i | 0.543838 | + | 0.839190i | \(0.316971\pi\) |
−0.911206 | + | 0.411951i | \(0.864848\pi\) | |||||||
\(14\) | 2.14641 | − | 4.88448i | 0.573653 | − | 1.30543i | ||||
\(15\) | 3.08339 | − | 1.40814i | 0.796128 | − | 0.363580i | ||||
\(16\) | 3.99340 | − | 0.229716i | 0.998350 | − | 0.0574289i | ||||
\(17\) | 1.85048 | − | 2.13557i | 0.448808 | − | 0.517952i | −0.485588 | − | 0.874188i | \(-0.661395\pi\) |
0.934396 | + | 0.356236i | \(0.115940\pi\) | |||||||
\(18\) | −0.568946 | + | 1.29472i | −0.134102 | + | 0.305168i | ||||
\(19\) | 1.21523 | − | 0.554975i | 0.278792 | − | 0.127320i | −0.271112 | − | 0.962548i | \(-0.587391\pi\) |
0.549904 | + | 0.835228i | \(0.314664\pi\) | |||||||
\(20\) | −6.73537 | − | 0.771649i | −1.50607 | − | 0.172546i | ||||
\(21\) | −0.536899 | − | 3.73421i | −0.117161 | − | 0.814872i | ||||
\(22\) | 0.777413 | − | 6.01967i | 0.165745 | − | 1.28340i | ||||
\(23\) | −0.450650 | − | 0.701225i | −0.0939670 | − | 0.146215i | 0.791087 | − | 0.611703i | \(-0.209515\pi\) |
−0.885054 | + | 0.465488i | \(0.845879\pi\) | |||||||
\(24\) | 2.31134 | − | 1.63025i | 0.471799 | − | 0.332774i | ||||
\(25\) | 6.22726 | + | 1.82849i | 1.24545 | + | 0.365698i | ||||
\(26\) | 1.78138 | − | 6.40584i | 0.349358 | − | 1.25629i | ||||
\(27\) | 0.142315 | + | 0.989821i | 0.0273885 | + | 0.190491i | ||||
\(28\) | −2.93595 | + | 6.95059i | −0.554842 | + | 1.31354i | ||||
\(29\) | −2.48342 | −0.461160 | −0.230580 | − | 0.973053i | \(-0.574062\pi\) | ||||
−0.230580 | + | 0.973053i | \(0.574062\pi\) | |||||||
\(30\) | −4.33152 | + | 2.05384i | −0.790824 | + | 0.374978i | ||||
\(31\) | 0.303330 | − | 0.0890656i | 0.0544796 | − | 0.0159967i | −0.254379 | − | 0.967105i | \(-0.581871\pi\) |
0.308859 | + | 0.951108i | \(0.400053\pi\) | |||||||
\(32\) | −5.64227 | + | 0.405958i | −0.997422 | + | 0.0717639i | ||||
\(33\) | −1.78292 | − | 3.90405i | −0.310367 | − | 0.679608i | ||||
\(34\) | −2.57332 | + | 3.05743i | −0.441321 | + | 0.524345i | ||||
\(35\) | 6.91376 | − | 10.7580i | 1.16864 | − | 1.81844i | ||||
\(36\) | 0.778226 | − | 1.84238i | 0.129704 | − | 0.307063i | ||||
\(37\) | −9.50235 | −1.56218 | −0.781088 | − | 0.624421i | \(-0.785335\pi\) | ||||
−0.781088 | + | 0.624421i | \(0.785335\pi\) | |||||||
\(38\) | −1.70714 | + | 0.809460i | −0.276934 | + | 0.131312i | ||||
\(39\) | −1.32456 | − | 4.51105i | −0.212100 | − | 0.722347i | ||||
\(40\) | 9.53994 | + | 0.954337i | 1.50840 | + | 0.150894i | ||||
\(41\) | −8.88261 | − | 7.69683i | −1.38723 | − | 1.20204i | −0.953646 | − | 0.300930i | \(-0.902703\pi\) |
−0.433585 | − | 0.901113i | \(-0.642752\pi\) | |||||||
\(42\) | 0.835071 | + | 5.26953i | 0.128854 | + | 0.813105i | ||||
\(43\) | 5.20737 | − | 6.00963i | 0.794117 | − | 0.916460i | −0.203926 | − | 0.978986i | \(-0.565370\pi\) |
0.998043 | + | 0.0625265i | \(0.0199158\pi\) | |||||||
\(44\) | −0.977027 | + | 8.52802i | −0.147292 | + | 1.28565i | ||||
\(45\) | −1.83262 | + | 2.85161i | −0.273191 | + | 0.425093i | ||||
\(46\) | 0.651495 | + | 0.982425i | 0.0960576 | + | 0.144851i | ||||
\(47\) | 4.76858 | + | 7.42005i | 0.695569 | + | 1.08233i | 0.991873 | + | 0.127232i | \(0.0406094\pi\) |
−0.296304 | + | 0.955094i | \(0.595754\pi\) | |||||||
\(48\) | −3.23527 | + | 2.35224i | −0.466971 | + | 0.339517i | ||||
\(49\) | −4.73636 | − | 5.46605i | −0.676623 | − | 0.780864i | ||||
\(50\) | −8.84292 | − | 2.45910i | −1.25058 | − | 0.347770i | ||||
\(51\) | −0.402148 | + | 2.79700i | −0.0563120 | + | 0.391659i | ||||
\(52\) | −2.38886 | + | 9.09448i | −0.331276 | + | 1.26118i | ||||
\(53\) | −5.44175 | + | 4.71530i | −0.747481 | + | 0.647696i | −0.942920 | − | 0.333020i | \(-0.891932\pi\) |
0.195439 | + | 0.980716i | \(0.437387\pi\) | |||||||
\(54\) | −0.221351 | − | 1.39678i | −0.0301220 | − | 0.190078i | ||||
\(55\) | 4.09873 | − | 13.9590i | 0.552673 | − | 1.88223i | ||||
\(56\) | 4.01043 | − | 9.88825i | 0.535916 | − | 1.32137i | ||||
\(57\) | −0.722271 | + | 1.12388i | −0.0956672 | + | 0.148861i | ||||
\(58\) | 3.51173 | − | 0.0504499i | 0.461113 | − | 0.00662440i | ||||
\(59\) | −0.787436 | − | 2.68176i | −0.102515 | − | 0.349136i | 0.892221 | − | 0.451598i | \(-0.149146\pi\) |
−0.994737 | + | 0.102463i | \(0.967328\pi\) | |||||||
\(60\) | 6.08334 | − | 2.99226i | 0.785356 | − | 0.386299i | ||||
\(61\) | 8.96531 | − | 1.28902i | 1.14789 | − | 0.165042i | 0.457997 | − | 0.888954i | \(-0.348567\pi\) |
0.689892 | + | 0.723912i | \(0.257658\pi\) | |||||||
\(62\) | −0.427119 | + | 0.132107i | −0.0542442 | + | 0.0167776i | ||||
\(63\) | 2.47054 | + | 2.85115i | 0.311258 | + | 0.359211i | ||||
\(64\) | 7.97030 | − | 0.688673i | 0.996288 | − | 0.0860841i | ||||
\(65\) | 6.62036 | − | 14.4966i | 0.821154 | − | 1.79808i | ||||
\(66\) | 2.60048 | + | 5.48437i | 0.320097 | + | 0.675079i | ||||
\(67\) | −6.81693 | + | 4.53095i | −0.832820 | + | 0.553544i | ||||
\(68\) | 3.57674 | − | 4.37569i | 0.433744 | − | 0.530631i | ||||
\(69\) | 0.758222 | + | 0.346268i | 0.0912792 | + | 0.0416858i | ||||
\(70\) | −9.55798 | + | 15.3530i | −1.14240 | + | 1.83504i | ||||
\(71\) | 9.78412 | − | 8.47798i | 1.16116 | − | 1.00615i | 0.161346 | − | 0.986898i | \(-0.448416\pi\) |
0.999815 | − | 0.0192538i | \(-0.00612906\pi\) | |||||||
\(72\) | −1.06304 | + | 2.62106i | −0.125280 | + | 0.308895i | ||||
\(73\) | 0.127856 | + | 0.889257i | 0.0149644 | + | 0.104080i | 0.995935 | − | 0.0900782i | \(-0.0287117\pi\) |
−0.980970 | + | 0.194158i | \(0.937803\pi\) | |||||||
\(74\) | 13.4370 | − | 0.193037i | 1.56201 | − | 0.0224401i | ||||
\(75\) | −6.22726 | + | 1.82849i | −0.719062 | + | 0.211136i | ||||
\(76\) | 2.39757 | − | 1.17931i | 0.275020 | − | 0.135276i | ||||
\(77\) | −13.6213 | − | 8.75389i | −1.55229 | − | 0.997598i | ||||
\(78\) | 1.96466 | + | 6.35203i | 0.222454 | + | 0.719225i | ||||
\(79\) | −10.1995 | − | 2.99485i | −1.14754 | − | 0.336947i | −0.347959 | − | 0.937510i | \(-0.613125\pi\) |
−0.799578 | + | 0.600563i | \(0.794943\pi\) | |||||||
\(80\) | −13.5095 | − | 1.15570i | −1.51041 | − | 0.129211i | ||||
\(81\) | −0.654861 | − | 0.755750i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | 12.7170 | + | 10.7034i | 1.40435 | + | 1.18199i | ||||
\(83\) | 6.72832 | + | 0.967387i | 0.738529 | + | 0.106184i | 0.501305 | − | 0.865270i | \(-0.332853\pi\) |
0.237224 | + | 0.971455i | \(0.423762\pi\) | |||||||
\(84\) | −1.28790 | − | 7.43450i | −0.140521 | − | 0.811171i | ||||
\(85\) | −7.23897 | + | 6.27260i | −0.785177 | + | 0.680359i | ||||
\(86\) | −7.24149 | + | 8.60381i | −0.780870 | + | 0.927772i | ||||
\(87\) | 2.08919 | − | 1.34264i | 0.223985 | − | 0.143946i | ||||
\(88\) | 1.20834 | − | 12.0790i | 0.128809 | − | 1.28763i | ||||
\(89\) | −1.60669 | − | 1.03256i | −0.170309 | − | 0.109451i | 0.452709 | − | 0.891658i | \(-0.350458\pi\) |
−0.623019 | + | 0.782207i | \(0.714094\pi\) | |||||||
\(90\) | 2.53352 | − | 4.06960i | 0.267056 | − | 0.428973i | ||||
\(91\) | −13.4047 | − | 11.6152i | −1.40519 | − | 1.21761i | ||||
\(92\) | −0.941215 | − | 1.37598i | −0.0981284 | − | 0.143456i | ||||
\(93\) | −0.207025 | + | 0.238919i | −0.0214675 | + | 0.0247748i | ||||
\(94\) | −6.89383 | − | 10.3956i | −0.711044 | − | 1.07222i | ||||
\(95\) | −4.34507 | + | 1.27583i | −0.445794 | + | 0.130897i | ||||
\(96\) | 4.52710 | − | 3.39195i | 0.462045 | − | 0.346190i | ||||
\(97\) | − | 15.8265i | − | 1.60694i | −0.595349 | − | 0.803468i | \(-0.702986\pi\) | ||
0.595349 | − | 0.803468i | \(-0.297014\pi\) | |||||||
\(98\) | 6.80857 | + | 7.63314i | 0.687770 | + | 0.771064i | ||||
\(99\) | 3.61058 | + | 2.32038i | 0.362877 | + | 0.233207i | ||||
\(100\) | 12.5544 | + | 3.29770i | 1.25544 | + | 0.329770i | ||||
\(101\) | −1.08444 | + | 0.495246i | −0.107905 | + | 0.0492788i | −0.468636 | − | 0.883391i | \(-0.655255\pi\) |
0.360731 | + | 0.932670i | \(0.382527\pi\) | |||||||
\(102\) | 0.511845 | − | 3.96332i | 0.0506802 | − | 0.392427i | ||||
\(103\) | −0.191671 | − | 0.652773i | −0.0188859 | − | 0.0643196i | 0.949511 | − | 0.313734i | \(-0.101580\pi\) |
−0.968397 | + | 0.249414i | \(0.919762\pi\) | |||||||
\(104\) | 3.19326 | − | 12.9087i | 0.313125 | − | 1.26581i | ||||
\(105\) | 12.7881i | 1.24799i | ||||||||
\(106\) | 7.59921 | − | 6.77830i | 0.738100 | − | 0.658367i | ||||
\(107\) | −9.52083 | + | 1.36889i | −0.920414 | + | 0.132336i | −0.586204 | − | 0.810163i | \(-0.699378\pi\) |
−0.334209 | + | 0.942499i | \(0.608469\pi\) | |||||||
\(108\) | 0.341380 | + | 1.97065i | 0.0328493 | + | 0.189626i | ||||
\(109\) | 3.29519 | − | 11.2224i | 0.315622 | − | 1.07491i | −0.637028 | − | 0.770841i | \(-0.719836\pi\) |
0.952650 | − | 0.304069i | \(-0.0983454\pi\) | |||||||
\(110\) | −5.51231 | + | 19.8222i | −0.525579 | + | 1.88998i | ||||
\(111\) | 7.99388 | − | 5.13736i | 0.758746 | − | 0.487616i | ||||
\(112\) | −5.47014 | + | 14.0641i | −0.516880 | + | 1.32893i | ||||
\(113\) | 17.5086 | − | 2.51735i | 1.64707 | − | 0.236813i | 0.744582 | − | 0.667531i | \(-0.232649\pi\) |
0.902486 | + | 0.430719i | \(0.141740\pi\) | |||||||
\(114\) | 0.998509 | − | 1.60391i | 0.0935190 | − | 0.150220i | ||||
\(115\) | 1.17375 | + | 2.57015i | 0.109453 | + | 0.239668i | ||||
\(116\) | −4.96480 | + | 0.142679i | −0.460970 | + | 0.0132474i | ||||
\(117\) | 3.55315 | + | 3.07883i | 0.328489 | + | 0.284638i | ||||
\(118\) | 1.16797 | + | 3.77620i | 0.107520 | + | 0.347627i | ||||
\(119\) | 4.42854 | + | 9.69715i | 0.405964 | + | 0.888936i | ||||
\(120\) | −8.54147 | + | 4.35484i | −0.779726 | + | 0.397541i | ||||
\(121\) | −7.11983 | − | 2.09057i | −0.647257 | − | 0.190052i | ||||
\(122\) | −12.6514 | + | 2.00488i | −1.14540 | + | 0.181514i | ||||
\(123\) | 11.6337 | + | 1.67268i | 1.04898 | + | 0.150821i | ||||
\(124\) | 0.601292 | − | 0.195485i | 0.0539976 | − | 0.0175551i | ||||
\(125\) | −4.59475 | − | 2.09835i | −0.410967 | − | 0.187682i | ||||
\(126\) | −3.55143 | − | 3.98153i | −0.316386 | − | 0.354703i | ||||
\(127\) | 1.77150 | + | 0.809016i | 0.157195 | + | 0.0717885i | 0.492459 | − | 0.870336i | \(-0.336098\pi\) |
−0.335264 | + | 0.942124i | \(0.608825\pi\) | |||||||
\(128\) | −11.2566 | + | 1.13574i | −0.994949 | + | 0.100387i | ||||
\(129\) | −1.13167 | + | 7.87094i | −0.0996380 | + | 0.692998i | ||||
\(130\) | −9.06714 | + | 20.6336i | −0.795241 | + | 1.80969i | ||||
\(131\) | 3.86265 | + | 6.01040i | 0.337481 | + | 0.525131i | 0.967970 | − | 0.251068i | \(-0.0807817\pi\) |
−0.630488 | + | 0.776199i | \(0.717145\pi\) | |||||||
\(132\) | −3.78867 | − | 7.70244i | −0.329761 | − | 0.670412i | ||||
\(133\) | 5.04004i | 0.437027i | ||||||||
\(134\) | 9.54755 | − | 6.54555i | 0.824783 | − | 0.565450i | ||||
\(135\) | − | 3.38971i | − | 0.291740i | ||||||
\(136\) | −4.96886 | + | 6.26019i | −0.426077 | + | 0.536806i | ||||
\(137\) | 0.305965 | + | 0.476090i | 0.0261403 | + | 0.0406751i | 0.854078 | − | 0.520145i | \(-0.174122\pi\) |
−0.827938 | + | 0.560820i | \(0.810486\pi\) | |||||||
\(138\) | −1.07921 | − | 0.474244i | −0.0918685 | − | 0.0403703i | ||||
\(139\) | 2.35976 | − | 16.4125i | 0.200152 | − | 1.39209i | −0.603678 | − | 0.797228i | \(-0.706299\pi\) |
0.803830 | − | 0.594859i | \(-0.202792\pi\) | |||||||
\(140\) | 13.2037 | − | 21.9044i | 1.11592 | − | 1.85126i | ||||
\(141\) | −8.02317 | − | 3.66406i | −0.675673 | − | 0.308569i | ||||
\(142\) | −13.6632 | + | 12.1872i | −1.14659 | + | 1.02273i | ||||
\(143\) | −18.3549 | − | 8.38239i | −1.53491 | − | 0.700971i | ||||
\(144\) | 1.44996 | − | 3.72795i | 0.120830 | − | 0.310663i | ||||
\(145\) | 8.33241 | + | 1.19802i | 0.691969 | + | 0.0994901i | ||||
\(146\) | −0.198862 | − | 1.25487i | −0.0164579 | − | 0.103854i | ||||
\(147\) | 6.93965 | + | 2.03766i | 0.572372 | + | 0.168064i | ||||
\(148\) | −18.9968 | + | 0.545935i | −1.56153 | + | 0.0448756i | ||||
\(149\) | 7.88239 | + | 17.2600i | 0.645751 | + | 1.41400i | 0.895225 | + | 0.445615i | \(0.147015\pi\) |
−0.249474 | + | 0.968382i | \(0.580258\pi\) | |||||||
\(150\) | 8.76863 | − | 2.71211i | 0.715955 | − | 0.221443i | ||||
\(151\) | 6.22141 | + | 5.39088i | 0.506291 | + | 0.438704i | 0.870177 | − | 0.492740i | \(-0.164005\pi\) |
−0.363885 | + | 0.931444i | \(0.618550\pi\) | |||||||
\(152\) | −3.36636 | + | 1.71633i | −0.273048 | + | 0.139213i | ||||
\(153\) | −1.17386 | − | 2.57041i | −0.0949013 | − | 0.207805i | ||||
\(154\) | 19.4393 | + | 12.1019i | 1.56646 | + | 0.975197i | ||||
\(155\) | −1.06070 | + | 0.152506i | −0.0851976 | + | 0.0122496i | ||||
\(156\) | −2.90721 | − | 8.94228i | −0.232763 | − | 0.715956i | ||||
\(157\) | 9.39515 | − | 6.03789i | 0.749814 | − | 0.481876i | −0.109078 | − | 0.994033i | \(-0.534790\pi\) |
0.858892 | + | 0.512157i | \(0.171153\pi\) | |||||||
\(158\) | 14.4837 | + | 4.02772i | 1.15226 | + | 0.320428i | ||||
\(159\) | 2.02860 | − | 6.90879i | 0.160879 | − | 0.547903i | ||||
\(160\) | 19.1268 | + | 1.35979i | 1.51211 | + | 0.107501i | ||||
\(161\) | 3.11265 | − | 0.447531i | 0.245311 | − | 0.0352704i | ||||
\(162\) | 0.941370 | + | 1.05538i | 0.0739610 | + | 0.0829183i | ||||
\(163\) | 23.2495i | 1.82104i | 0.413467 | + | 0.910519i | \(0.364318\pi\) | ||||
−0.413467 | + | 0.910519i | \(0.635682\pi\) | |||||||
\(164\) | −18.2001 | − | 14.8770i | −1.42119 | − | 1.16170i | ||||
\(165\) | 4.09873 | + | 13.9590i | 0.319086 | + | 1.08671i | ||||
\(166\) | −9.53396 | − | 1.23127i | −0.739978 | − | 0.0955648i | ||||
\(167\) | −13.1925 | + | 6.02481i | −1.02087 | + | 0.466214i | −0.854280 | − | 0.519813i | \(-0.826002\pi\) |
−0.166586 | + | 0.986027i | \(0.553274\pi\) | |||||||
\(168\) | 1.97220 | + | 10.4867i | 0.152159 | + | 0.809068i | ||||
\(169\) | −7.65883 | − | 4.92203i | −0.589141 | − | 0.378618i | ||||
\(170\) | 10.1090 | − | 9.01694i | 0.775323 | − | 0.691568i | ||||
\(171\) | − | 1.33595i | − | 0.102163i | ||||||
\(172\) | 10.0652 | − | 12.3135i | 0.767463 | − | 0.938894i | ||||
\(173\) | −12.0165 | + | 3.52836i | −0.913598 | + | 0.268256i | −0.704554 | − | 0.709650i | \(-0.748853\pi\) |
−0.209043 | + | 0.977906i | \(0.567035\pi\) | |||||||
\(174\) | −2.92698 | + | 1.94103i | −0.221894 | + | 0.147149i | ||||
\(175\) | −16.0342 | + | 18.5044i | −1.21207 | + | 1.39880i | ||||
\(176\) | −1.46329 | + | 17.1051i | −0.110300 | + | 1.28935i | ||||
\(177\) | 2.11230 | + | 1.83032i | 0.158770 | + | 0.137575i | ||||
\(178\) | 2.29295 | + | 1.42747i | 0.171864 | + | 0.106993i | ||||
\(179\) | 1.81581 | + | 1.16695i | 0.135720 | + | 0.0872219i | 0.606739 | − | 0.794901i | \(-0.292477\pi\) |
−0.471019 | + | 0.882123i | \(0.656114\pi\) | |||||||
\(180\) | −3.49989 | + | 5.80615i | −0.260866 | + | 0.432765i | ||||
\(181\) | 7.28289 | − | 4.68043i | 0.541333 | − | 0.347893i | −0.241227 | − | 0.970469i | \(-0.577550\pi\) |
0.782560 | + | 0.622575i | \(0.213914\pi\) | |||||||
\(182\) | 19.1911 | + | 16.1524i | 1.42254 | + | 1.19730i | ||||
\(183\) | −6.84520 | + | 5.93140i | −0.506012 | + | 0.438462i | ||||
\(184\) | 1.35889 | + | 1.92661i | 0.100179 | + | 0.142031i | ||||
\(185\) | 31.8824 | + | 4.58399i | 2.34404 | + | 0.337022i | ||||
\(186\) | 0.287893 | − | 0.342054i | 0.0211094 | − | 0.0250806i | ||||
\(187\) | 7.94208 | + | 9.16565i | 0.580783 | + | 0.670259i | ||||
\(188\) | 9.95952 | + | 14.5600i | 0.726373 | + | 1.06190i | ||||
\(189\) | −3.61980 | − | 1.06287i | −0.263301 | − | 0.0773123i | ||||
\(190\) | 6.11830 | − | 1.89237i | 0.443868 | − | 0.137287i | ||||
\(191\) | −11.3945 | − | 7.32283i | −0.824480 | − | 0.529861i | 0.0590393 | − | 0.998256i | \(-0.481196\pi\) |
−0.883519 | + | 0.468394i | \(0.844833\pi\) | |||||||
\(192\) | −6.33272 | + | 4.88842i | −0.457025 | + | 0.352791i | ||||
\(193\) | −24.2989 | + | 7.13480i | −1.74907 | + | 0.513574i | −0.990440 | − | 0.137944i | \(-0.955951\pi\) |
−0.758633 | + | 0.651518i | \(0.774133\pi\) | |||||||
\(194\) | 0.321510 | + | 22.3797i | 0.0230830 | + | 1.60677i | ||||
\(195\) | 2.26803 | + | 15.7745i | 0.162417 | + | 1.12964i | ||||
\(196\) | −9.78285 | − | 10.6555i | −0.698775 | − | 0.761105i | ||||
\(197\) | −12.0863 | + | 10.4729i | −0.861115 | + | 0.746160i | −0.968752 | − | 0.248030i | \(-0.920217\pi\) |
0.107638 | + | 0.994190i | \(0.465671\pi\) | |||||||
\(198\) | −5.15274 | − | 3.20782i | −0.366189 | − | 0.227970i | ||||
\(199\) | 15.6071 | + | 7.12752i | 1.10636 | + | 0.505257i | 0.882949 | − | 0.469468i | \(-0.155554\pi\) |
0.223408 | + | 0.974725i | \(0.428282\pi\) | |||||||
\(200\) | −17.8198 | − | 4.40813i | −1.26005 | − | 0.311702i | ||||
\(201\) | 3.28515 | − | 7.49719i | 0.231717 | − | 0.528811i | ||||
\(202\) | 1.52341 | − | 0.722341i | 0.107186 | − | 0.0508237i | ||||
\(203\) | 3.89202 | − | 8.52234i | 0.273166 | − | 0.598151i | ||||
\(204\) | −0.643269 | + | 5.61480i | −0.0450379 | + | 0.393115i | ||||
\(205\) | 26.0900 | + | 30.1095i | 1.82221 | + | 2.10294i | ||||
\(206\) | 0.284297 | + | 0.919171i | 0.0198079 | + | 0.0640417i | ||||
\(207\) | −0.825063 | + | 0.118626i | −0.0573459 | + | 0.00824509i | ||||
\(208\) | −4.25325 | + | 18.3187i | −0.294910 | + | 1.27017i | ||||
\(209\) | 1.61539 | + | 5.50152i | 0.111739 | + | 0.380548i | ||||
\(210\) | −0.259786 | − | 18.0832i | −0.0179269 | − | 1.24786i | ||||
\(211\) | −8.89881 | + | 13.8468i | −0.612619 | + | 0.953254i | 0.386896 | + | 0.922123i | \(0.373547\pi\) |
−0.999515 | + | 0.0311307i | \(0.990089\pi\) | |||||||
\(212\) | −10.6081 | + | 9.73935i | −0.728567 | + | 0.668901i | ||||
\(213\) | −3.64738 | + | 12.4218i | −0.249914 | + | 0.851130i | ||||
\(214\) | 13.4353 | − | 2.12911i | 0.918418 | − | 0.145543i | ||||
\(215\) | −20.3709 | + | 17.6515i | −1.38929 | + | 1.20382i | ||||
\(216\) | −0.522768 | − | 2.77970i | −0.0355698 | − | 0.189134i | ||||
\(217\) | −0.169733 | + | 1.18052i | −0.0115222 | + | 0.0801388i | ||||
\(218\) | −4.43164 | + | 15.9362i | −0.300149 | + | 1.07933i | ||||
\(219\) | −0.588328 | − | 0.678966i | −0.0397555 | − | 0.0458803i | ||||
\(220\) | 7.39210 | − | 28.1420i | 0.498376 | − | 1.89733i | ||||
\(221\) | 7.18259 | + | 11.1763i | 0.483153 | + | 0.751801i | ||||
\(222\) | −11.1995 | + | 7.42696i | −0.751663 | + | 0.498465i | ||||
\(223\) | 0.837081 | − | 1.30252i | 0.0560551 | − | 0.0872234i | −0.812095 | − | 0.583526i | \(-0.801673\pi\) |
0.868150 | + | 0.496302i | \(0.165309\pi\) | |||||||
\(224\) | 7.44944 | − | 19.9987i | 0.497737 | − | 1.33622i | ||||
\(225\) | 4.25015 | − | 4.90494i | 0.283343 | − | 0.326996i | ||||
\(226\) | −24.7072 | + | 3.91539i | −1.64350 | + | 0.260448i | ||||
\(227\) | 12.5833 | + | 10.9035i | 0.835183 | + | 0.723690i | 0.963403 | − | 0.268056i | \(-0.0863811\pi\) |
−0.128221 | + | 0.991746i | \(0.540927\pi\) | |||||||
\(228\) | −1.37938 | + | 2.28832i | −0.0913515 | + | 0.151548i | ||||
\(229\) | −5.27764 | − | 17.9740i | −0.348756 | − | 1.18775i | −0.927994 | − | 0.372596i | \(-0.878468\pi\) |
0.579238 | − | 0.815159i | \(-0.303350\pi\) | |||||||
\(230\) | −1.71197 | − | 3.61053i | −0.112884 | − | 0.238071i | ||||
\(231\) | 16.1917 | 1.06533 | ||||||||
\(232\) | 7.01766 | − | 0.302616i | 0.460732 | − | 0.0198677i | ||||
\(233\) | 13.7129 | − | 21.3376i | 0.898359 | − | 1.39787i | −0.0190021 | − | 0.999819i | \(-0.506049\pi\) |
0.917362 | − | 0.398055i | \(-0.130315\pi\) | |||||||
\(234\) | −5.08695 | − | 4.28149i | −0.332544 | − | 0.279890i | ||||
\(235\) | −12.4201 | − | 27.1962i | −0.810198 | − | 1.77409i | ||||
\(236\) | −1.72830 | − | 5.31607i | −0.112503 | − | 0.346047i | ||||
\(237\) | 10.1995 | − | 2.99485i | 0.662531 | − | 0.194537i | ||||
\(238\) | −6.45925 | − | 13.6225i | −0.418691 | − | 0.883013i | ||||
\(239\) | −5.54731 | −0.358826 | −0.179413 | − | 0.983774i | \(-0.557420\pi\) | ||||
−0.179413 | + | 0.983774i | \(0.557420\pi\) | |||||||
\(240\) | 11.9897 | − | 6.33156i | 0.773935 | − | 0.408700i | ||||
\(241\) | −3.35401 | − | 23.3276i | −0.216051 | − | 1.50267i | −0.752421 | − | 0.658683i | \(-0.771114\pi\) |
0.536370 | − | 0.843983i | \(-0.319795\pi\) | |||||||
\(242\) | 10.1104 | + | 2.81157i | 0.649921 | + | 0.180735i | ||||
\(243\) | 0.959493 | + | 0.281733i | 0.0615515 | + | 0.0180732i | ||||
\(244\) | 17.8492 | − | 3.09205i | 1.14267 | − | 0.197948i | ||||
\(245\) | 13.2546 | + | 20.6246i | 0.846807 | + | 1.31766i | ||||
\(246\) | −16.4849 | − | 2.12895i | −1.05104 | − | 0.135737i | ||||
\(247\) | 0.893877 | + | 6.21705i | 0.0568760 | + | 0.395581i | ||||
\(248\) | −0.846296 | + | 0.288644i | −0.0537399 | + | 0.0183289i | ||||
\(249\) | −6.18323 | + | 2.82379i | −0.391847 | + | 0.178950i | ||||
\(250\) | 6.53991 | + | 2.87387i | 0.413620 | + | 0.181760i | ||||
\(251\) | −13.8682 | + | 16.0047i | −0.875351 | + | 1.01021i | 0.124487 | + | 0.992221i | \(0.460272\pi\) |
−0.999838 | + | 0.0179880i | \(0.994274\pi\) | |||||||
\(252\) | 5.10284 | + | 5.55801i | 0.321449 | + | 0.350122i | ||||
\(253\) | 3.25421 | − | 1.48615i | 0.204591 | − | 0.0934334i | ||||
\(254\) | −2.52145 | − | 1.10802i | −0.158210 | − | 0.0695231i | ||||
\(255\) | 2.69858 | − | 9.19053i | 0.168992 | − | 0.575534i | ||||
\(256\) | 15.8945 | − | 1.83469i | 0.993404 | − | 0.114668i | ||||
\(257\) | 3.84050 | − | 26.7113i | 0.239564 | − | 1.66620i | −0.414717 | − | 0.909950i | \(-0.636119\pi\) |
0.654281 | − | 0.756252i | \(-0.272972\pi\) | |||||||
\(258\) | 1.44036 | − | 11.1530i | 0.0896731 | − | 0.694357i | ||||
\(259\) | 14.8921 | − | 32.6091i | 0.925349 | − | 2.02623i | ||||
\(260\) | 12.4024 | − | 29.3615i | 0.769163 | − | 1.82092i | ||||
\(261\) | −1.03165 | + | 2.25900i | −0.0638576 | + | 0.139829i | ||||
\(262\) | −5.58415 | − | 8.42064i | −0.344990 | − | 0.520229i | ||||
\(263\) | −1.42829 | − | 0.205357i | −0.0880721 | − | 0.0126629i | 0.0981379 | − | 0.995173i | \(-0.468711\pi\) |
−0.186210 | + | 0.982510i | \(0.559620\pi\) | |||||||
\(264\) | 5.51390 | + | 10.8148i | 0.339357 | + | 0.665606i | ||||
\(265\) | 20.5329 | − | 13.1957i | 1.26133 | − | 0.810605i | ||||
\(266\) | −0.102387 | − | 7.12696i | −0.00627773 | − | 0.436982i | ||||
\(267\) | 1.90988 | 0.116883 | ||||||||
\(268\) | −13.3679 | + | 9.44981i | −0.816575 | + | 0.577239i | ||||
\(269\) | −3.35036 | −0.204275 | −0.102137 | − | 0.994770i | \(-0.532568\pi\) | ||||
−0.102137 | + | 0.994770i | \(0.532568\pi\) | |||||||
\(270\) | 0.0688609 | + | 4.79328i | 0.00419074 | + | 0.291710i | ||||
\(271\) | −11.0135 | + | 7.07797i | −0.669025 | + | 0.429956i | −0.830574 | − | 0.556909i | \(-0.811987\pi\) |
0.161549 | + | 0.986865i | \(0.448351\pi\) | |||||||
\(272\) | 6.89914 | − | 8.95327i | 0.418322 | − | 0.542872i | ||||
\(273\) | 17.5564 | + | 2.52423i | 1.06256 | + | 0.152773i | ||||
\(274\) | −0.442326 | − | 0.667008i | −0.0267219 | − | 0.0402954i | ||||
\(275\) | −11.5714 | + | 25.3379i | −0.697784 | + | 1.52793i | ||||
\(276\) | 1.53571 | + | 0.648689i | 0.0924390 | + | 0.0390465i | ||||
\(277\) | 4.11314 | − | 9.00653i | 0.247135 | − | 0.541150i | −0.744891 | − | 0.667186i | \(-0.767498\pi\) |
0.992026 | + | 0.126037i | \(0.0402257\pi\) | |||||||
\(278\) | −3.00344 | + | 23.2563i | −0.180134 | + | 1.39482i | ||||
\(279\) | 0.0449908 | − | 0.312918i | 0.00269353 | − | 0.0187339i | ||||
\(280\) | −18.2260 | + | 31.2425i | −1.08921 | + | 1.86710i | ||||
\(281\) | −6.70463 | + | 22.8339i | −0.399964 | + | 1.36215i | 0.475859 | + | 0.879522i | \(0.342137\pi\) |
−0.875823 | + | 0.482632i | \(0.839681\pi\) | |||||||
\(282\) | 11.4197 | + | 5.01824i | 0.680035 | + | 0.298832i | ||||
\(283\) | −20.9647 | + | 9.57427i | −1.24622 | + | 0.569132i | −0.925754 | − | 0.378127i | \(-0.876568\pi\) |
−0.320470 | + | 0.947259i | \(0.603841\pi\) | |||||||
\(284\) | 19.0731 | − | 17.5111i | 1.13178 | − | 1.03909i | ||||
\(285\) | 2.96554 | − | 3.42241i | 0.175663 | − | 0.202726i | ||||
\(286\) | 26.1253 | + | 11.4804i | 1.54482 | + | 0.678850i | ||||
\(287\) | 40.3340 | − | 18.4199i | 2.38084 | − | 1.08729i | ||||
\(288\) | −1.97461 | + | 5.30103i | −0.116355 | + | 0.312366i | ||||
\(289\) | 1.28298 | + | 8.92330i | 0.0754692 | + | 0.524900i | ||||
\(290\) | −11.8069 | − | 1.52481i | −0.693327 | − | 0.0895400i | ||||
\(291\) | 8.55644 | + | 13.3141i | 0.501587 | + | 0.780485i | ||||
\(292\) | 0.306696 | + | 1.77043i | 0.0179480 | + | 0.103607i | ||||
\(293\) | −16.5519 | − | 4.86008i | −0.966972 | − | 0.283929i | −0.240136 | − | 0.970739i | \(-0.577192\pi\) |
−0.726836 | + | 0.686811i | \(0.759010\pi\) | |||||||
\(294\) | −9.85452 | − | 2.74042i | −0.574728 | − | 0.159824i | ||||
\(295\) | 1.34832 | + | 9.37774i | 0.0785020 | + | 0.545993i | ||||
\(296\) | 26.8517 | − | 1.15790i | 1.56073 | − | 0.0673018i | ||||
\(297\) | −4.29190 | −0.249041 | ||||||||
\(298\) | −11.4969 | − | 24.2467i | −0.665996 | − | 1.40458i | ||||
\(299\) | 3.76018 | − | 1.10409i | 0.217457 | − | 0.0638510i | ||||
\(300\) | −12.3443 | + | 4.01324i | −0.712701 | + | 0.231705i | ||||
\(301\) | 12.4622 | + | 27.2884i | 0.718309 | + | 1.57288i | ||||
\(302\) | −8.90701 | − | 7.49669i | −0.512541 | − | 0.431386i | ||||
\(303\) | 0.644536 | − | 1.00292i | 0.0370276 | − | 0.0576161i | ||||
\(304\) | 4.72540 | − | 2.49539i | 0.271020 | − | 0.143121i | ||||
\(305\) | −30.7023 | −1.75801 | ||||||||
\(306\) | 1.71214 | + | 3.61088i | 0.0978766 | + | 0.206420i | ||||
\(307\) | −4.77171 | − | 16.2510i | −0.272336 | − | 0.927491i | −0.976148 | − | 0.217105i | \(-0.930339\pi\) |
0.703812 | − | 0.710386i | \(-0.251480\pi\) | |||||||
\(308\) | −27.7343 | − | 16.7180i | −1.58031 | − | 0.952595i | ||||
\(309\) | 0.514160 | + | 0.445522i | 0.0292495 | + | 0.0253449i | ||||
\(310\) | 1.49681 | − | 0.237201i | 0.0850128 | − | 0.0134721i | ||||
\(311\) | 10.9751 | − | 12.6660i | 0.622343 | − | 0.718223i | −0.353807 | − | 0.935318i | \(-0.615113\pi\) |
0.976150 | + | 0.217096i | \(0.0696585\pi\) | |||||||
\(312\) | 4.29265 | + | 12.5859i | 0.243023 | + | 0.712538i | ||||
\(313\) | −2.34010 | + | 3.64127i | −0.132270 | + | 0.205817i | −0.901071 | − | 0.433672i | \(-0.857218\pi\) |
0.768800 | + | 0.639489i | \(0.220854\pi\) | |||||||
\(314\) | −13.1627 | + | 8.72885i | −0.742815 | + | 0.492597i | ||||
\(315\) | −6.91376 | − | 10.7580i | −0.389546 | − | 0.606146i | ||||
\(316\) | −20.5627 | − | 5.40124i | −1.15674 | − | 0.303844i | ||||
\(317\) | 2.89684 | + | 3.34313i | 0.162703 | + | 0.187769i | 0.831247 | − | 0.555904i | \(-0.187628\pi\) |
−0.668544 | + | 0.743673i | \(0.733082\pi\) | |||||||
\(318\) | −2.72823 | + | 9.81071i | −0.152992 | + | 0.550157i | ||||
\(319\) | 1.51688 | − | 10.5501i | 0.0849289 | − | 0.590693i | ||||
\(320\) | −27.0743 | − | 1.53428i | −1.51350 | − | 0.0857690i | ||||
\(321\) | 7.26936 | − | 6.29893i | 0.405736 | − | 0.351572i | ||||
\(322\) | −4.39240 | + | 0.696071i | −0.244779 | + | 0.0387905i | ||||
\(323\) | 1.06357 | − | 3.62217i | 0.0591784 | − | 0.201543i | ||||
\(324\) | −1.35260 | − | 1.47325i | −0.0751445 | − | 0.0818473i | ||||
\(325\) | −16.4968 | + | 25.6696i | −0.915079 | + | 1.42389i | ||||
\(326\) | −0.472305 | − | 32.8763i | −0.0261586 | − | 1.82085i | ||||
\(327\) | 3.29519 | + | 11.2224i | 0.182224 | + | 0.620600i | ||||
\(328\) | 26.0384 | + | 20.6673i | 1.43773 | + | 1.14116i | ||||
\(329\) | −32.9366 | + | 4.73557i | −1.81586 | + | 0.261081i | ||||
\(330\) | −6.07946 | − | 19.6557i | −0.334663 | − | 1.08201i | ||||
\(331\) | −17.0773 | − | 19.7083i | −0.938656 | − | 1.08327i | −0.996387 | − | 0.0849344i | \(-0.972932\pi\) |
0.0577307 | − | 0.998332i | \(-0.481614\pi\) | |||||||
\(332\) | 13.5067 | + | 1.54742i | 0.741275 | + | 0.0849254i | ||||
\(333\) | −3.94742 | + | 8.64364i | −0.216317 | + | 0.473668i | ||||
\(334\) | 18.5327 | − | 8.78749i | 1.01406 | − | 0.480830i | ||||
\(335\) | 25.0580 | − | 11.9138i | 1.36906 | − | 0.650918i | ||||
\(336\) | −3.00186 | − | 14.7889i | −0.163765 | − | 0.806799i | ||||
\(337\) | −30.9795 | − | 14.1479i | −1.68756 | − | 0.770684i | −0.998962 | − | 0.0455413i | \(-0.985499\pi\) |
−0.688599 | − | 0.725142i | \(-0.741774\pi\) | |||||||
\(338\) | 10.9301 | + | 6.80450i | 0.594519 | + | 0.370116i | ||||
\(339\) | −13.3682 | + | 11.5836i | −0.726059 | + | 0.629134i | ||||
\(340\) | −14.1116 | + | 12.9559i | −0.765308 | + | 0.702634i | ||||
\(341\) | 0.193096 | + | 1.34301i | 0.0104567 | + | 0.0727281i | ||||
\(342\) | 0.0271395 | + | 1.88913i | 0.00146753 | + | 0.102152i | ||||
\(343\) | 0.842032 | − | 0.247243i | 0.0454655 | − | 0.0133499i | ||||
\(344\) | −13.9827 | + | 17.6166i | −0.753897 | + | 0.949821i | ||||
\(345\) | −2.37695 | − | 1.52757i | −0.127971 | − | 0.0822418i | ||||
\(346\) | 16.9205 | − | 5.23345i | 0.909650 | − | 0.281352i | ||||
\(347\) | 9.50450 | + | 2.79077i | 0.510228 | + | 0.149817i | 0.526706 | − | 0.850048i | \(-0.323427\pi\) |
−0.0164775 | + | 0.999864i | \(0.505245\pi\) | |||||||
\(348\) | 4.09952 | − | 2.80420i | 0.219757 | − | 0.150321i | ||||
\(349\) | −15.9944 | − | 18.4585i | −0.856159 | − | 0.988060i | 0.143840 | − | 0.989601i | \(-0.454055\pi\) |
−0.999999 | + | 0.00154108i | \(0.999509\pi\) | |||||||
\(350\) | 22.2975 | − | 26.4922i | 1.19185 | − | 1.41607i | ||||
\(351\) | −4.65364 | − | 0.669093i | −0.248393 | − | 0.0357135i | ||||
\(352\) | 1.72171 | − | 24.2175i | 0.0917673 | − | 1.29080i | ||||
\(353\) | 25.1560 | − | 21.7978i | 1.33892 | − | 1.16018i | 0.365589 | − | 0.930776i | \(-0.380868\pi\) |
0.973331 | − | 0.229404i | \(-0.0736778\pi\) | |||||||
\(354\) | −3.02412 | − | 2.54529i | −0.160730 | − | 0.135280i | ||||
\(355\) | −36.9176 | + | 23.7255i | −1.95938 | + | 1.25922i | ||||
\(356\) | −3.27139 | − | 1.97196i | −0.173383 | − | 0.104514i | ||||
\(357\) | −8.96820 | − | 5.76351i | −0.474647 | − | 0.305037i | ||||
\(358\) | −2.59138 | − | 1.61326i | −0.136959 | − | 0.0852634i | ||||
\(359\) | −5.36657 | − | 4.65016i | −0.283237 | − | 0.245426i | 0.501642 | − | 0.865075i | \(-0.332729\pi\) |
−0.784879 | + | 0.619649i | \(0.787275\pi\) | |||||||
\(360\) | 4.83113 | − | 8.28139i | 0.254623 | − | 0.436468i | ||||
\(361\) | −11.2736 | + | 13.0104i | −0.593346 | + | 0.684758i | ||||
\(362\) | −10.2034 | + | 6.76639i | −0.536280 | + | 0.355634i | ||||
\(363\) | 7.11983 | − | 2.09057i | 0.373694 | − | 0.109727i | ||||
\(364\) | −27.4656 | − | 22.4507i | −1.43959 | − | 1.17674i | ||||
\(365\) | − | 3.04532i | − | 0.159399i | ||||||
\(366\) | 9.55908 | − | 8.52646i | 0.499661 | − | 0.445685i | ||||
\(367\) | −4.58017 | − | 2.94350i | −0.239083 | − | 0.153649i | 0.415613 | − | 0.909541i | \(-0.363567\pi\) |
−0.654696 | + | 0.755892i | \(0.727203\pi\) | |||||||
\(368\) | −1.96071 | − | 2.69675i | −0.102209 | − | 0.140578i | ||||
\(369\) | −10.6913 | + | 4.88253i | −0.556564 | + | 0.254174i | ||||
\(370\) | −45.1770 | − | 5.83440i | −2.34864 | − | 0.303316i | ||||
\(371\) | −7.65314 | − | 26.0642i | −0.397331 | − | 1.35319i | ||||
\(372\) | −0.400152 | + | 0.489535i | −0.0207469 | + | 0.0253812i | ||||
\(373\) | 10.1066i | 0.523302i | 0.965163 | + | 0.261651i | \(0.0842669\pi\) | ||||
−0.965163 | + | 0.261651i | \(0.915733\pi\) | |||||||
\(374\) | −11.4168 | − | 12.7995i | −0.590351 | − | 0.661847i | ||||
\(375\) | 4.99980 | − | 0.718863i | 0.258189 | − | 0.0371219i | ||||
\(376\) | −14.3792 | − | 20.3865i | −0.741552 | − | 1.05135i | ||||
\(377\) | 3.28945 | − | 11.2029i | 0.169416 | − | 0.576976i | ||||
\(378\) | 5.14023 | + | 1.42943i | 0.264385 | + | 0.0735221i | ||||
\(379\) | 0.886545 | − | 0.569748i | 0.0455387 | − | 0.0292660i | −0.517673 | − | 0.855578i | \(-0.673202\pi\) |
0.563212 | + | 0.826312i | \(0.309565\pi\) | |||||||
\(380\) | −8.61325 | + | 2.80024i | −0.441850 | + | 0.143649i | ||||
\(381\) | −1.92767 | + | 0.277156i | −0.0987573 | + | 0.0141992i | ||||
\(382\) | 16.2614 | + | 10.1235i | 0.832006 | + | 0.517963i | ||||
\(383\) | 5.49867 | + | 12.0404i | 0.280969 | + | 0.615237i | 0.996523 | − | 0.0833212i | \(-0.0265528\pi\) |
−0.715554 | + | 0.698558i | \(0.753825\pi\) | |||||||
\(384\) | 8.85559 | − | 7.04120i | 0.451910 | − | 0.359320i | ||||
\(385\) | 41.4795 | + | 35.9422i | 2.11399 | + | 1.83178i | ||||
\(386\) | 34.2154 | − | 10.5827i | 1.74152 | − | 0.538646i | ||||
\(387\) | −3.30333 | − | 7.23328i | −0.167918 | − | 0.367688i | ||||
\(388\) | −0.909273 | − | 31.6399i | −0.0461613 | − | 1.60627i | ||||
\(389\) | −24.2393 | − | 7.11729i | −1.22898 | − | 0.360861i | −0.398115 | − | 0.917336i | \(-0.630335\pi\) |
−0.830864 | + | 0.556475i | \(0.812154\pi\) | |||||||
\(390\) | −3.52761 | − | 22.2602i | −0.178627 | − | 1.12719i | ||||
\(391\) | −2.33143 | − | 0.335210i | −0.117906 | − | 0.0169523i | ||||
\(392\) | 14.0501 | + | 14.8688i | 0.709636 | + | 0.750989i | ||||
\(393\) | −6.49893 | − | 2.96796i | −0.327828 | − | 0.149714i | ||||
\(394\) | 16.8781 | − | 15.0549i | 0.850308 | − | 0.758453i | ||||
\(395\) | 32.7768 | + | 14.9687i | 1.64918 | + | 0.753156i | ||||
\(396\) | 7.35148 | + | 4.43140i | 0.369426 | + | 0.222686i | ||||
\(397\) | 3.21772 | − | 22.3797i | 0.161493 | − | 1.12321i | −0.734329 | − | 0.678794i | \(-0.762503\pi\) |
0.895822 | − | 0.444414i | \(-0.146588\pi\) | |||||||
\(398\) | −22.2143 | − | 9.76174i | −1.11350 | − | 0.489312i | ||||
\(399\) | −2.72485 | − | 4.23995i | −0.136413 | − | 0.212263i | ||||
\(400\) | 25.2880 | + | 5.87139i | 1.26440 | + | 0.293569i | ||||
\(401\) | 24.3332i | 1.21514i | 0.794266 | + | 0.607570i | \(0.207856\pi\) | ||||
−0.794266 | + | 0.607570i | \(0.792144\pi\) | |||||||
\(402\) | −4.49312 | + | 10.6683i | −0.224096 | + | 0.532085i | ||||
\(403\) | 1.48631i | 0.0740384i | ||||||||
\(404\) | −2.13952 | + | 1.05239i | −0.106445 | + | 0.0523582i | ||||
\(405\) | 1.83262 | + | 2.85161i | 0.0910635 | + | 0.141698i | ||||
\(406\) | −5.33046 | + | 12.1302i | −0.264546 | + | 0.602013i | ||||
\(407\) | 5.80404 | − | 40.3680i | 0.287696 | − | 2.00097i | ||||
\(408\) | 0.795563 | − | 7.95277i | 0.0393863 | − | 0.393721i | ||||
\(409\) | 11.6950 | + | 5.34091i | 0.578279 | + | 0.264091i | 0.683009 | − | 0.730409i | \(-0.260671\pi\) |
−0.104731 | + | 0.994501i | \(0.533398\pi\) | |||||||
\(410\) | −37.5048 | − | 42.0469i | −1.85223 | − | 2.07655i | ||||
\(411\) | −0.514788 | − | 0.235096i | −0.0253926 | − | 0.0115964i | ||||
\(412\) | −0.420688 | − | 1.29400i | −0.0207258 | − | 0.0637506i | ||||
\(413\) | 10.4370 | + | 1.50062i | 0.513574 | + | 0.0738407i | ||||
\(414\) | 1.16429 | − | 0.184506i | 0.0572215 | − | 0.00906799i | ||||
\(415\) | −22.1083 | − | 6.49157i | −1.08525 | − | 0.318659i | ||||
\(416\) | 5.64225 | − | 25.9903i | 0.276634 | − | 1.27428i | ||||
\(417\) | 6.88809 | + | 15.0828i | 0.337311 | + | 0.738609i | ||||
\(418\) | −2.39604 | − | 7.74671i | −0.117194 | − | 0.378904i | ||||
\(419\) | −25.7639 | − | 22.3245i | −1.25865 | − | 1.09063i | −0.991921 | − | 0.126853i | \(-0.959512\pi\) |
−0.266727 | − | 0.963772i | \(-0.585942\pi\) | |||||||
\(420\) | 0.734709 | + | 25.5656i | 0.0358501 | + | 1.24747i | ||||
\(421\) | −2.59628 | − | 5.68506i | −0.126535 | − | 0.277073i | 0.835753 | − | 0.549105i | \(-0.185031\pi\) |
−0.962288 | + | 0.272032i | \(0.912304\pi\) | |||||||
\(422\) | 12.3022 | − | 19.7611i | 0.598863 | − | 0.961956i | ||||
\(423\) | 8.73046 | − | 1.25525i | 0.424489 | − | 0.0610323i | ||||
\(424\) | 14.8027 | − | 13.9876i | 0.718883 | − | 0.679298i | ||||
\(425\) | 15.4283 | − | 9.91517i | 0.748383 | − | 0.480956i | ||||
\(426\) | 4.90529 | − | 17.6394i | 0.237662 | − | 0.854632i | ||||
\(427\) | −9.62693 | + | 32.7863i | −0.465880 | + | 1.58664i | ||||
\(428\) | −18.9552 | + | 3.28365i | −0.916232 | + | 0.158721i | ||||
\(429\) | 19.9730 | − | 2.87168i | 0.964304 | − | 0.138646i | ||||
\(430\) | 28.4473 | − | 25.3742i | 1.37185 | − | 1.22365i | ||||
\(431\) | 26.4569i | 1.27438i | 0.770705 | + | 0.637192i | \(0.219904\pi\) | ||||
−0.770705 | + | 0.637192i | \(0.780096\pi\) | |||||||
\(432\) | 0.795697 | + | 3.92006i | 0.0382830 | + | 0.188604i | ||||
\(433\) | 4.15876 | + | 14.1634i | 0.199857 | + | 0.680651i | 0.997038 | + | 0.0769104i | \(0.0245055\pi\) |
−0.797181 | + | 0.603741i | \(0.793676\pi\) | |||||||
\(434\) | 0.216032 | − | 1.67278i | 0.0103699 | − | 0.0802960i | ||||
\(435\) | −7.65737 | + | 3.49700i | −0.367143 | + | 0.167668i | ||||
\(436\) | 5.94291 | − | 22.6248i | 0.284614 | − | 1.08353i | ||||
\(437\) | −0.936804 | − | 0.602047i | −0.0448134 | − | 0.0287998i | ||||
\(438\) | 0.845728 | + | 0.948153i | 0.0404104 | + | 0.0453045i | ||||
\(439\) | 10.2615i | 0.489755i | 0.969554 | + | 0.244877i | \(0.0787477\pi\) | ||||
−0.969554 | + | 0.244877i | \(0.921252\pi\) | |||||||
\(440\) | −9.88124 | + | 39.9448i | −0.471070 | + | 1.90429i | ||||
\(441\) | −6.93965 | + | 2.03766i | −0.330459 | + | 0.0970316i | ||||
\(442\) | −10.3837 | − | 15.6582i | −0.493902 | − | 0.744783i | ||||
\(443\) | −8.34420 | + | 9.62972i | −0.396445 | + | 0.457522i | −0.918518 | − | 0.395379i | \(-0.870613\pi\) |
0.522073 | + | 0.852901i | \(0.325159\pi\) | |||||||
\(444\) | 15.6860 | − | 10.7297i | 0.744425 | − | 0.509211i | ||||
\(445\) | 4.89269 | + | 4.23954i | 0.231936 | + | 0.200973i | ||||
\(446\) | −1.15723 | + | 1.85886i | −0.0547964 | + | 0.0880197i | ||||
\(447\) | −15.9626 | − | 10.2585i | −0.755004 | − | 0.485211i | ||||
\(448\) | −10.1278 | + | 28.4309i | −0.478491 | + | 1.34323i | ||||
\(449\) | 4.06483 | − | 2.61231i | 0.191831 | − | 0.123282i | −0.441200 | − | 0.897409i | \(-0.645447\pi\) |
0.633031 | + | 0.774127i | \(0.281811\pi\) | |||||||
\(450\) | −5.91036 | + | 7.02225i | −0.278617 | + | 0.331032i | ||||
\(451\) | 38.1233 | − | 33.0340i | 1.79516 | − | 1.55551i | ||||
\(452\) | 34.8581 | − | 6.03854i | 1.63959 | − | 0.284029i | ||||
\(453\) | −8.14831 | − | 1.17155i | −0.382841 | − | 0.0550443i | ||||
\(454\) | −18.0151 | − | 15.1626i | −0.845492 | − | 0.711618i | ||||
\(455\) | 39.3723 | + | 45.4380i | 1.84580 | + | 2.13017i | ||||
\(456\) | 1.90405 | − | 3.26386i | 0.0891651 | − | 0.152844i | ||||
\(457\) | 10.8071 | + | 3.17326i | 0.505537 | + | 0.148439i | 0.524549 | − | 0.851380i | \(-0.324234\pi\) |
−0.0190123 | + | 0.999819i | \(0.506052\pi\) | |||||||
\(458\) | 7.82807 | + | 25.3092i | 0.365782 | + | 1.18262i | ||||
\(459\) | 2.37718 | + | 1.52772i | 0.110957 | + | 0.0713080i | ||||
\(460\) | 2.49419 | + | 5.07075i | 0.116292 | + | 0.236425i | ||||
\(461\) | 1.32485 | − | 0.389011i | 0.0617043 | − | 0.0181180i | −0.250735 | − | 0.968056i | \(-0.580672\pi\) |
0.312439 | + | 0.949938i | \(0.398854\pi\) | |||||||
\(462\) | −22.8961 | + | 0.328929i | −1.06522 | + | 0.0153032i | ||||
\(463\) | −1.75452 | − | 12.2030i | −0.0815396 | − | 0.567120i | −0.989105 | − | 0.147210i | \(-0.952971\pi\) |
0.907566 | − | 0.419910i | \(-0.137938\pi\) | |||||||
\(464\) | −9.91730 | + | 0.570481i | −0.460399 | + | 0.0264839i | ||||
\(465\) | 0.809868 | − | 0.701754i | 0.0375567 | − | 0.0325431i | ||||
\(466\) | −18.9574 | + | 30.4514i | −0.878187 | + | 1.41063i | ||||
\(467\) | −11.2805 | − | 5.15165i | −0.522001 | − | 0.238390i | 0.136947 | − | 0.990578i | \(-0.456271\pi\) |
−0.658948 | + | 0.752188i | \(0.728998\pi\) | |||||||
\(468\) | 7.28026 | + | 5.95097i | 0.336530 | + | 0.275084i | ||||
\(469\) | −4.86532 | − | 30.4945i | −0.224660 | − | 1.40810i | ||||
\(470\) | 18.1154 | + | 38.2050i | 0.835599 | + | 1.76227i | ||||
\(471\) | −4.63937 | + | 10.1588i | −0.213771 | + | 0.468093i | ||||
\(472\) | 2.55192 | + | 7.48217i | 0.117462 | + | 0.344395i | ||||
\(473\) | 22.3495 | + | 25.7927i | 1.02763 | + | 1.18595i | ||||
\(474\) | −14.3620 | + | 4.44212i | −0.659668 | + | 0.204033i | ||||
\(475\) | 8.58230 | − | 1.23395i | 0.393783 | − | 0.0566174i | ||||
\(476\) | 9.41055 | + | 19.1319i | 0.431332 | + | 0.876907i | ||||
\(477\) | 2.02860 | + | 6.90879i | 0.0928834 | + | 0.316332i | ||||
\(478\) | 7.84427 | − | 0.112692i | 0.358789 | − | 0.00515440i | ||||
\(479\) | 2.70596 | − | 4.21055i | 0.123638 | − | 0.192385i | −0.773917 | − | 0.633287i | \(-0.781705\pi\) |
0.897555 | + | 0.440902i | \(0.145342\pi\) | |||||||
\(480\) | −16.8257 | + | 9.19682i | −0.767984 | + | 0.419776i | ||||
\(481\) | 12.5865 | − | 42.8656i | 0.573894 | − | 1.95450i | ||||
\(482\) | 5.21669 | + | 32.9187i | 0.237614 | + | 1.49941i | ||||
\(483\) | −2.37657 | + | 2.05931i | −0.108138 | + | 0.0937019i | ||||
\(484\) | −14.3539 | − | 3.77036i | −0.652450 | − | 0.171380i | ||||
\(485\) | −7.63480 | + | 53.1012i | −0.346678 | + | 2.41120i | ||||
\(486\) | −1.36251 | − | 0.378897i | −0.0618048 | − | 0.0171871i | ||||
\(487\) | −13.6369 | − | 15.7379i | −0.617948 | − | 0.713150i | 0.357368 | − | 0.933964i | \(-0.383674\pi\) |
−0.975316 | + | 0.220813i | \(0.929129\pi\) | |||||||
\(488\) | −25.1771 | + | 4.73497i | −1.13971 | + | 0.214342i | ||||
\(489\) | −12.5696 | − | 19.5587i | −0.568417 | − | 0.884474i | ||||
\(490\) | −19.1619 | − | 28.8953i | −0.865647 | − | 1.30536i | ||||
\(491\) | 15.3837 | − | 23.9375i | 0.694256 | − | 1.08028i | −0.297818 | − | 0.954623i | \(-0.596259\pi\) |
0.992073 | − | 0.125660i | \(-0.0401049\pi\) | |||||||
\(492\) | 23.3540 | + | 2.67559i | 1.05288 | + | 0.120625i | ||||
\(493\) | −4.59553 | + | 5.30352i | −0.206972 | + | 0.238859i | ||||
\(494\) | −1.39030 | − | 8.77317i | −0.0625525 | − | 0.394724i | ||||
\(495\) | −10.9949 | − | 9.52712i | −0.494183 | − | 0.428212i | ||||
\(496\) | 1.19086 | − | 0.425354i | 0.0534710 | − | 0.0190990i | ||||
\(497\) | 13.7601 | + | 46.8628i | 0.617227 | + | 2.10208i | ||||
\(498\) | 8.68615 | − | 4.11864i | 0.389236 | − | 0.184561i | ||||
\(499\) | −21.8362 | −0.977521 | −0.488760 | − | 0.872418i | \(-0.662551\pi\) | ||||
−0.488760 | + | 0.872418i | \(0.662551\pi\) | |||||||
\(500\) | −9.30626 | − | 3.93099i | −0.416189 | − | 0.175799i | ||||
\(501\) | 7.84097 | − | 12.2008i | 0.350309 | − | 0.545091i | ||||
\(502\) | 19.2854 | − | 22.9135i | 0.860750 | − | 1.02268i | ||||
\(503\) | 4.24020 | + | 9.28474i | 0.189061 | + | 0.413986i | 0.980298 | − | 0.197523i | \(-0.0632898\pi\) |
−0.791237 | + | 0.611510i | \(0.790563\pi\) | |||||||
\(504\) | −7.32867 | − | 7.75574i | −0.326445 | − | 0.345468i | ||||
\(505\) | 3.87742 | − | 1.13851i | 0.172543 | − | 0.0506632i | ||||
\(506\) | −4.57148 | + | 2.16762i | −0.203227 | + | 0.0963626i | ||||
\(507\) | 9.10407 | 0.404326 | ||||||||
\(508\) | 3.58801 | + | 1.51559i | 0.159192 | + | 0.0672433i | ||||
\(509\) | 4.50807 | + | 31.3543i | 0.199817 | + | 1.38976i | 0.804813 | + | 0.593528i | \(0.202265\pi\) |
−0.604997 | + | 0.796228i | \(0.706826\pi\) | |||||||
\(510\) | −3.62928 | + | 13.0509i | −0.160707 | + | 0.577902i | ||||
\(511\) | −3.25203 | − | 0.954882i | −0.143861 | − | 0.0422415i | ||||
\(512\) | −22.4386 | + | 2.91727i | −0.991654 | + | 0.128926i | ||||
\(513\) | 0.722271 | + | 1.12388i | 0.0318891 | + | 0.0496203i | ||||
\(514\) | −4.88809 | + | 37.8495i | −0.215605 | + | 1.66947i | ||||
\(515\) | 0.328196 | + | 2.28266i | 0.0144621 | + | 0.100586i | ||||
\(516\) | −1.81020 | + | 15.8004i | −0.0796896 | + | 0.695574i | ||||
\(517\) | −34.4346 | + | 15.7258i | −1.51443 | + | 0.691619i | ||||
\(518\) | −20.3960 | + | 46.4140i | −0.896147 | + | 2.03931i | ||||
\(519\) | 8.20135 | − | 9.46486i | 0.359999 | − | 0.415461i | ||||
\(520\) | −16.9413 | + | 41.7711i | −0.742927 | + | 1.83178i | ||||
\(521\) | 17.3688 | − | 7.93206i | 0.760941 | − | 0.347510i | 0.00313916 | − | 0.999995i | \(-0.499001\pi\) |
0.757802 | + | 0.652485i | \(0.226273\pi\) | |||||||
\(522\) | 1.41293 | − | 3.21534i | 0.0618424 | − | 0.140732i | ||||
\(523\) | −1.92979 | + | 6.57225i | −0.0843837 | + | 0.287384i | −0.990864 | − | 0.134863i | \(-0.956941\pi\) |
0.906481 | + | 0.422248i | \(0.138759\pi\) | |||||||
\(524\) | 8.06742 | + | 11.7939i | 0.352427 | + | 0.515220i | ||||
\(525\) | 3.48456 | − | 24.2357i | 0.152079 | − | 1.05773i | ||||
\(526\) | 2.02387 | + | 0.261373i | 0.0882449 | + | 0.0113964i | ||||
\(527\) | 0.371100 | − | 0.812596i | 0.0161654 | − | 0.0353972i | ||||
\(528\) | −8.01673 | − | 15.1809i | −0.348883 | − | 0.660662i | ||||
\(529\) | 9.26591 | − | 20.2895i | 0.402866 | − | 0.882153i | ||||
\(530\) | −28.7668 | + | 19.0767i | −1.24955 | + | 0.828640i | ||||
\(531\) | −2.76653 | − | 0.397767i | −0.120057 | − | 0.0172616i | ||||
\(532\) | 0.289564 | + | 10.0759i | 0.0125542 | + | 0.436846i | ||||
\(533\) | 46.4864 | − | 29.8750i | 2.01355 | − | 1.29403i | ||||
\(534\) | −2.70070 | + | 0.0387986i | −0.116871 | + | 0.00167898i | ||||
\(535\) | 32.6048 | 1.40963 | ||||||||
\(536\) | 18.7112 | − | 13.6342i | 0.808199 | − | 0.588909i | ||||
\(537\) | −2.15846 | −0.0931443 | ||||||||
\(538\) | 4.73763 | − | 0.0680614i | 0.204254 | − | 0.00293434i | ||||
\(539\) | 26.1139 | − | 16.7824i | 1.12481 | − | 0.722869i | ||||
\(540\) | −0.194748 | − | 6.77663i | −0.00838062 | − | 0.291620i | ||||
\(541\) | 23.1188 | + | 3.32398i | 0.993955 | + | 0.142909i | 0.620054 | − | 0.784559i | \(-0.287111\pi\) |
0.373901 | + | 0.927469i | \(0.378020\pi\) | |||||||
\(542\) | 15.4301 | − | 10.2325i | 0.662780 | − | 0.439522i | ||||
\(543\) | −3.59633 | + | 7.87485i | −0.154333 | + | 0.337942i | ||||
\(544\) | −9.57396 | + | 12.8007i | −0.410480 | + | 0.548825i | ||||
\(545\) | −16.4698 | + | 36.0639i | −0.705490 | + | 1.54481i | ||||
\(546\) | −24.8772 | − | 3.21278i | −1.06465 | − | 0.137494i | ||||
\(547\) | −1.01032 | + | 7.02695i | −0.0431983 | + | 0.300451i | 0.956756 | + | 0.290892i | \(0.0939519\pi\) |
−0.999954 | + | 0.00955918i | \(0.996957\pi\) | |||||||
\(548\) | 0.639029 | + | 0.934209i | 0.0272980 | + | 0.0399074i | ||||
\(549\) | 2.55179 | − | 8.69061i | 0.108908 | − | 0.370906i | ||||
\(550\) | 15.8481 | − | 36.0646i | 0.675764 | − | 1.53780i | ||||
\(551\) | −3.01792 | + | 1.37824i | −0.128568 | + | 0.0587149i | ||||
\(552\) | −2.18478 | − | 0.886092i | −0.0929903 | − | 0.0377146i | ||||
\(553\) | 26.2621 | − | 30.3081i | 1.11678 | − | 1.28883i | ||||
\(554\) | −5.63330 | + | 12.8194i | −0.239336 | + | 0.544644i | ||||
\(555\) | −29.2995 | + | 13.3806i | −1.24369 | + | 0.567975i | ||||
\(556\) | 3.77462 | − | 32.9470i | 0.160080 | − | 1.39726i | ||||
\(557\) | −4.49233 | − | 31.2448i | −0.190346 | − | 1.32389i | −0.831093 | − | 0.556134i | \(-0.812284\pi\) |
0.640747 | − | 0.767752i | \(-0.278625\pi\) | |||||||
\(558\) | −0.0572632 | + | 0.443401i | −0.00242414 | + | 0.0187706i | ||||
\(559\) | 20.2122 | + | 31.4509i | 0.854887 | + | 1.33023i | ||||
\(560\) | 25.1381 | − | 44.5493i | 1.06228 | − | 1.88255i | ||||
\(561\) | −11.6366 | − | 3.41682i | −0.491299 | − | 0.144258i | ||||
\(562\) | 9.01693 | − | 32.4248i | 0.380356 | − | 1.36776i | ||||
\(563\) | 3.81687 | + | 26.5469i | 0.160862 | + | 1.11882i | 0.897013 | + | 0.442003i | \(0.145732\pi\) |
−0.736151 | + | 0.676817i | \(0.763359\pi\) | |||||||
\(564\) | −16.2502 | − | 6.86414i | −0.684258 | − | 0.289032i | ||||
\(565\) | −59.9594 | −2.52251 | ||||||||
\(566\) | 29.4511 | − | 13.9646i | 1.23792 | − | 0.586974i | ||||
\(567\) | 3.61980 | − | 1.06287i | 0.152017 | − | 0.0446363i | ||||
\(568\) | −26.6149 | + | 25.1493i | −1.11674 | + | 1.05524i | ||||
\(569\) | 10.0587 | + | 22.0255i | 0.421683 | + | 0.923357i | 0.994604 | + | 0.103746i | \(0.0330830\pi\) |
−0.572921 | + | 0.819611i | \(0.694190\pi\) | |||||||
\(570\) | −4.12395 | + | 4.89977i | −0.172733 | + | 0.205229i | ||||
\(571\) | −18.3326 | + | 28.5261i | −0.767196 | + | 1.19378i | 0.209217 | + | 0.977869i | \(0.432908\pi\) |
−0.976413 | + | 0.215911i | \(0.930728\pi\) | |||||||
\(572\) | −37.1762 | − | 15.7033i | −1.55441 | − | 0.656589i | ||||
\(573\) | 13.5447 | 0.565839 | ||||||||
\(574\) | −56.6608 | + | 26.8664i | −2.36497 | + | 1.12138i | ||||
\(575\) | −1.52413 | − | 5.19072i | −0.0635607 | − | 0.216468i | ||||
\(576\) | 2.68454 | − | 7.53613i | 0.111856 | − | 0.314005i | ||||
\(577\) | 13.7880 | + | 11.9474i | 0.574003 | + | 0.497376i | 0.892804 | − | 0.450445i | \(-0.148735\pi\) |
−0.318801 | + | 0.947822i | \(0.603280\pi\) | |||||||
\(578\) | −1.99549 | − | 12.5921i | −0.0830014 | − | 0.523762i | ||||
\(579\) | 16.5842 | − | 19.1392i | 0.689215 | − | 0.795396i | ||||
\(580\) | 16.7268 | + | 1.91633i | 0.694542 | + | 0.0795714i | ||||
\(581\) | −13.8644 | + | 21.5734i | −0.575192 | + | 0.895017i | ||||
\(582\) | −12.3699 | − | 18.6532i | −0.512747 | − | 0.773199i | ||||
\(583\) | −16.7078 | − | 25.9978i | −0.691966 | − | 1.07672i | ||||
\(584\) | −0.469655 | − | 2.49728i | −0.0194345 | − | 0.103338i | ||||
\(585\) | −10.4363 | − | 12.0442i | −0.431489 | − | 0.497965i | ||||
\(586\) | 23.5042 | + | 6.53623i | 0.970951 | + | 0.270009i | ||||
\(587\) | 6.30459 | − | 43.8494i | 0.260218 | − | 1.80986i | −0.270953 | − | 0.962592i | \(-0.587339\pi\) |
0.531171 | − | 0.847264i | \(-0.321752\pi\) | |||||||
\(588\) | 13.9906 | + | 3.67495i | 0.576964 | + | 0.151552i | ||||
\(589\) | 0.319185 | − | 0.276575i | 0.0131518 | − | 0.0113961i | ||||
\(590\) | −2.09712 | − | 13.2334i | −0.0863369 | − | 0.544809i | ||||
\(591\) | 4.50561 | − | 15.3447i | 0.185336 | − | 0.631196i | ||||
\(592\) | −37.9467 | + | 2.18284i | −1.55960 | + | 0.0897141i | ||||
\(593\) | 1.24289 | − | 1.93398i | 0.0510394 | − | 0.0794189i | −0.814796 | − | 0.579748i | \(-0.803151\pi\) |
0.865836 | + | 0.500329i | \(0.166788\pi\) | |||||||
\(594\) | 6.06904 | − | 0.0871885i | 0.249016 | − | 0.00357739i | ||||
\(595\) | −10.1807 | − | 34.6723i | −0.417369 | − | 1.42143i | ||||
\(596\) | 16.7499 | + | 34.0530i | 0.686103 | + | 1.39486i | ||||
\(597\) | −16.9830 | + | 2.44178i | −0.695066 | + | 0.0999354i | ||||
\(598\) | −5.29472 | + | 1.63764i | −0.216517 | + | 0.0669681i | ||||
\(599\) | 1.96907 | + | 2.27243i | 0.0804540 | + | 0.0928489i | 0.794549 | − | 0.607200i | \(-0.207707\pi\) |
−0.714095 | + | 0.700048i | \(0.753162\pi\) | |||||||
\(600\) | 17.3742 | − | 5.92577i | 0.709299 | − | 0.241918i | ||||
\(601\) | −9.65870 | + | 21.1496i | −0.393987 | + | 0.862710i | 0.603858 | + | 0.797092i | \(0.293629\pi\) |
−0.997845 | + | 0.0656186i | \(0.979098\pi\) | |||||||
\(602\) | −18.1767 | − | 38.3345i | −0.740828 | − | 1.56240i | ||||
\(603\) | 1.28964 | + | 8.08312i | 0.0525183 | + | 0.329170i | ||||
\(604\) | 12.7474 | + | 10.4199i | 0.518685 | + | 0.423979i | ||||
\(605\) | 22.8800 | + | 10.4490i | 0.930206 | + | 0.424811i | ||||
\(606\) | −0.891044 | + | 1.43129i | −0.0361962 | + | 0.0581421i | ||||
\(607\) | −7.25962 | + | 6.29050i | −0.294659 | + | 0.255323i | −0.789626 | − | 0.613588i | \(-0.789725\pi\) |
0.494967 | + | 0.868912i | \(0.335180\pi\) | |||||||
\(608\) | −6.63134 | + | 3.62465i | −0.268936 | + | 0.146999i | ||||
\(609\) | 1.33335 | + | 9.27364i | 0.0540300 | + | 0.375787i | ||||
\(610\) | 43.4152 | − | 0.623708i | 1.75783 | − | 0.0252532i | ||||
\(611\) | −39.7885 | + | 11.6830i | −1.60967 | + | 0.472642i | ||||
\(612\) | −2.49444 | − | 5.07125i | −0.100832 | − | 0.204993i | ||||
\(613\) | −7.90055 | − | 5.07737i | −0.319100 | − | 0.205073i | 0.371278 | − | 0.928522i | \(-0.378920\pi\) |
−0.690378 | + | 0.723448i | \(0.742556\pi\) | |||||||
\(614\) | 7.07765 | + | 22.8830i | 0.285631 | + | 0.923483i | ||||
\(615\) | −38.2268 | − | 11.2244i | −1.54145 | − | 0.452611i | ||||
\(616\) | 39.5578 | + | 23.0769i | 1.59383 | + | 0.929796i | ||||
\(617\) | −16.6385 | − | 19.2018i | −0.669840 | − | 0.773036i | 0.314511 | − | 0.949254i | \(-0.398159\pi\) |
−0.984351 | + | 0.176217i | \(0.943614\pi\) | |||||||
\(618\) | −0.736108 | − | 0.619554i | −0.0296106 | − | 0.0249221i | ||||
\(619\) | −28.2066 | − | 4.05550i | −1.13372 | − | 0.163004i | −0.450194 | − | 0.892931i | \(-0.648645\pi\) |
−0.683526 | + | 0.729926i | \(0.739554\pi\) | |||||||
\(620\) | −2.11177 | + | 0.365826i | −0.0848105 | + | 0.0146919i | ||||
\(621\) | 0.629953 | − | 0.545858i | 0.0252792 | − | 0.0219045i | ||||
\(622\) | −15.2623 | + | 18.1335i | −0.611962 | + | 0.727088i | ||||
\(623\) | 6.06144 | − | 3.89545i | 0.242846 | − | 0.156068i | ||||
\(624\) | −6.32577 | − | 17.7102i | −0.253234 | − | 0.708974i | ||||
\(625\) | −12.8953 | − | 8.28728i | −0.515810 | − | 0.331491i | ||||
\(626\) | 3.23509 | − | 5.19654i | 0.129300 | − | 0.207696i | ||||
\(627\) | −4.33330 | − | 3.75483i | −0.173055 | − | 0.149953i | ||||
\(628\) | 18.4356 | − | 12.6106i | 0.735662 | − | 0.503217i | ||||
\(629\) | −17.5839 | + | 20.2929i | −0.701117 | + | 0.809132i | ||||
\(630\) | 9.99507 | + | 15.0721i | 0.398213 | + | 0.600488i | ||||
\(631\) | 27.5079 | − | 8.07706i | 1.09507 | − | 0.321542i | 0.316180 | − | 0.948699i | \(-0.397600\pi\) |
0.778893 | + | 0.627157i | \(0.215781\pi\) | |||||||
\(632\) | 29.1868 | + | 7.22000i | 1.16099 | + | 0.287196i | ||||
\(633\) | − | 16.4597i | − | 0.654216i | ||||||
\(634\) | −4.16424 | − | 4.66856i | −0.165383 | − | 0.185412i | ||||
\(635\) | −5.55347 | − | 3.56900i | −0.220383 | − | 0.141631i | ||||
\(636\) | 3.65861 | − | 13.9284i | 0.145073 | − | 0.552298i | ||||
\(637\) | 30.9312 | − | 14.1258i | 1.22554 | − | 0.559686i | ||||
\(638\) | −1.93065 | + | 14.9494i | −0.0764350 | + | 0.591852i | ||||
\(639\) | −3.64738 | − | 12.4218i | −0.144288 | − | 0.491400i | ||||
\(640\) | 38.3160 | + | 1.61957i | 1.51457 | + | 0.0640193i | ||||
\(641\) | − | 4.02827i | − | 0.159107i | −0.996831 | − | 0.0795535i | \(-0.974651\pi\) | ||
0.996831 | − | 0.0795535i | \(-0.0253494\pi\) | |||||||
\(642\) | −10.1514 | + | 9.05479i | −0.400644 | + | 0.357364i | ||||
\(643\) | 16.3160 | − | 2.34589i | 0.643440 | − | 0.0925128i | 0.187132 | − | 0.982335i | \(-0.440081\pi\) |
0.456308 | + | 0.889822i | \(0.349172\pi\) | |||||||
\(644\) | 6.19701 | − | 1.07352i | 0.244196 | − | 0.0423027i | ||||
\(645\) | 7.59399 | − | 25.8627i | 0.299013 | − | 1.01834i | ||||
\(646\) | −1.43037 | + | 5.14360i | −0.0562772 | + | 0.202372i | ||||
\(647\) | 19.8498 | − | 12.7567i | 0.780378 | − | 0.501519i | −0.0887810 | − | 0.996051i | \(-0.528297\pi\) |
0.869159 | + | 0.494533i | \(0.164661\pi\) | |||||||
\(648\) | 1.94260 | + | 2.05580i | 0.0763124 | + | 0.0807595i | ||||
\(649\) | 11.8737 | − | 1.70718i | 0.466082 | − | 0.0670125i | ||||
\(650\) | 22.8062 | − | 36.6336i | 0.894531 | − | 1.43689i | ||||
\(651\) | −0.495448 | − | 1.08488i | −0.0194181 | − | 0.0425198i | ||||
\(652\) | 1.33574 | + | 46.4797i | 0.0523117 | + | 1.82029i | ||||
\(653\) | −19.2834 | − | 16.7092i | −0.754620 | − | 0.653882i | 0.190099 | − | 0.981765i | \(-0.439119\pi\) |
−0.944718 | + | 0.327883i | \(0.893665\pi\) | |||||||
\(654\) | −4.88760 | − | 15.8023i | −0.191120 | − | 0.617918i | ||||
\(655\) | −10.0605 | − | 22.0295i | −0.393098 | − | 0.860765i | ||||
\(656\) | −37.2399 | − | 28.6960i | −1.45397 | − | 1.12039i | ||||
\(657\) | 0.862010 | + | 0.253109i | 0.0336302 | + | 0.00987472i | ||||
\(658\) | 46.4784 | − | 7.36552i | 1.81192 | − | 0.287138i | ||||
\(659\) | 12.1960 | + | 1.75353i | 0.475090 | + | 0.0683077i | 0.375701 | − | 0.926741i | \(-0.377402\pi\) |
0.0993893 | + | 0.995049i | \(0.468311\pi\) | |||||||
\(660\) | 8.99607 | + | 27.6710i | 0.350171 | + | 1.07709i | ||||
\(661\) | −16.0707 | − | 7.33925i | −0.625078 | − | 0.285464i | 0.0775854 | − | 0.996986i | \(-0.475279\pi\) |
−0.702664 | + | 0.711522i | \(0.748006\pi\) | |||||||
\(662\) | 24.5489 | + | 27.5220i | 0.954120 | + | 1.06967i | ||||
\(663\) | −12.0848 | − | 5.51892i | −0.469333 | − | 0.214337i | ||||
\(664\) | −19.1308 | − | 1.91377i | −0.742418 | − | 0.0742685i | ||||
\(665\) | 2.43135 | − | 16.9104i | 0.0942836 | − | 0.655757i | ||||
\(666\) | 5.40632 | − | 12.3029i | 0.209491 | − | 0.476727i | ||||
\(667\) | 1.11915 | + | 1.74144i | 0.0433338 | + | 0.0674288i | ||||
\(668\) | −26.0280 | + | 12.8026i | −1.00705 | + | 0.495347i | ||||
\(669\) | 1.54831i | 0.0598612i | ||||||||
\(670\) | −35.1917 | + | 17.3559i | −1.35957 | + | 0.670517i | ||||
\(671\) | 38.8739i | 1.50071i | ||||||||
\(672\) | 4.54526 | + | 20.8515i | 0.175337 | + | 0.804363i | ||||
\(673\) | 11.5556 | + | 17.9809i | 0.445435 | + | 0.693111i | 0.989273 | − | 0.146080i | \(-0.0466656\pi\) |
−0.543837 | + | 0.839191i | \(0.683029\pi\) | |||||||
\(674\) | 44.0945 | + | 19.3767i | 1.69846 | + | 0.746363i | ||||
\(675\) | −0.923646 | + | 6.42410i | −0.0355512 | + | 0.247264i | ||||
\(676\) | −15.5941 | − | 9.39998i | −0.599774 | − | 0.361538i | ||||
\(677\) | −30.0046 | − | 13.7026i | −1.15317 | − | 0.526635i | −0.255286 | − | 0.966866i | \(-0.582170\pi\) |
−0.897885 | + | 0.440230i | \(0.854897\pi\) | |||||||
\(678\) | 18.6682 | − | 16.6515i | 0.716947 | − | 0.639498i | ||||
\(679\) | 54.3116 | + | 24.8033i | 2.08429 | + | 0.951862i | ||||
\(680\) | 19.6915 | − | 18.6072i | 0.755136 | − | 0.713555i | ||||
\(681\) | −16.4806 | − | 2.36956i | −0.631539 | − | 0.0908015i | ||||
\(682\) | −0.300333 | − | 1.89519i | −0.0115004 | − | 0.0725704i | ||||
\(683\) | −4.47591 | − | 1.31425i | −0.171266 | − | 0.0502882i | 0.194975 | − | 0.980808i | \(-0.437537\pi\) |
−0.366241 | + | 0.930520i | \(0.619356\pi\) | |||||||
\(684\) | −0.0767541 | − | 2.67081i | −0.00293477 | − | 0.102121i | ||||
\(685\) | −0.796907 | − | 1.74498i | −0.0304482 | − | 0.0666724i | ||||
\(686\) | −1.18567 | + | 0.366724i | −0.0452690 | + | 0.0140016i | ||||
\(687\) | 14.1573 | + | 12.2674i | 0.540135 | + | 0.468029i | ||||
\(688\) | 19.4146 | − | 25.1951i | 0.740175 | − | 0.960552i | ||||
\(689\) | −14.0630 | − | 30.7937i | −0.535758 | − | 1.17315i | ||||
\(690\) | 3.39220 | + | 2.11181i | 0.129139 | + | 0.0803951i | ||||
\(691\) | 13.1163 | − | 1.88584i | 0.498967 | − | 0.0717407i | 0.111764 | − | 0.993735i | \(-0.464350\pi\) |
0.387204 | + | 0.921994i | \(0.373441\pi\) | |||||||
\(692\) | −23.8204 | + | 7.74419i | −0.905515 | + | 0.294390i | ||||
\(693\) | −13.6213 | + | 8.75389i | −0.517431 | + | 0.332533i | ||||
\(694\) | −13.4967 | − | 3.75326i | −0.512328 | − | 0.142472i | ||||
\(695\) | −15.8350 | + | 53.9289i | −0.600654 | + | 2.04564i | ||||
\(696\) | −5.74003 | + | 4.04861i | −0.217575 | + | 0.153462i | ||||
\(697\) | −32.8742 | + | 4.72660i | −1.24520 | + | 0.179033i | ||||
\(698\) | 22.9921 | + | 25.7766i | 0.870264 | + | 0.975660i | ||||
\(699\) | 25.3641i | 0.959358i | ||||||||
\(700\) | −30.9920 | + | 37.9148i | −1.17139 | + | 1.43304i | ||||
\(701\) | −5.62647 | − | 19.1620i | −0.212509 | − | 0.723739i | −0.994892 | − | 0.100942i | \(-0.967814\pi\) |
0.782383 | − | 0.622797i | \(-0.214004\pi\) | |||||||
\(702\) | 6.59416 | + | 0.851605i | 0.248880 | + | 0.0321418i | ||||
\(703\) | −11.5475 | + | 5.27357i | −0.435522 | + | 0.198896i | ||||
\(704\) | −1.94264 | + | 34.2802i | −0.0732160 | + | 1.29198i | ||||
\(705\) | 25.1519 | + | 16.1641i | 0.947274 | + | 0.608776i | ||||
\(706\) | −35.1295 | + | 31.3346i | −1.32212 | + | 1.17929i | ||||
\(707\) | − | 4.49760i | − | 0.169150i | ||||||
\(708\) | 4.32802 | + | 3.53777i | 0.162657 | + | 0.132958i | ||||
\(709\) | −0.862069 | + | 0.253126i | −0.0323757 | + | 0.00950636i | −0.297880 | − | 0.954603i | \(-0.596280\pi\) |
0.265505 | + | 0.964110i | \(0.414461\pi\) | |||||||
\(710\) | 51.7220 | − | 34.2994i | 1.94109 | − | 1.28724i | ||||
\(711\) | −6.96125 | + | 8.03371i | −0.261067 | + | 0.301288i | ||||
\(712\) | 4.66602 | + | 2.72203i | 0.174867 | + | 0.102012i | ||||
\(713\) | −0.199151 | − | 0.172565i | −0.00745825 | − | 0.00646261i | ||||
\(714\) | 12.7987 | + | 7.96781i | 0.478980 | + | 0.298188i | ||||
\(715\) | 57.5408 | + | 36.9792i | 2.15190 | + | 1.38294i | ||||
\(716\) | 3.69716 | + | 2.22861i | 0.138170 | + | 0.0832872i | ||||
\(717\) | 4.66669 | − | 2.99910i | 0.174281 | − | 0.112004i | ||||
\(718\) | 7.68316 | + | 6.46662i | 0.286733 | + | 0.241332i | ||||
\(719\) | −34.0102 | + | 29.4700i | −1.26837 | + | 1.09905i | −0.277998 | + | 0.960582i | \(0.589671\pi\) |
−0.990368 | + | 0.138463i | \(0.955784\pi\) | |||||||
\(720\) | −6.66331 | + | 11.8086i | −0.248327 | + | 0.440080i | ||||
\(721\) | 2.54050 | + | 0.365269i | 0.0946133 | + | 0.0136033i | ||||
\(722\) | 15.6773 | − | 18.6266i | 0.583449 | − | 0.693210i | ||||
\(723\) | 15.4334 | + | 17.8111i | 0.573976 | + | 0.662404i | ||||
\(724\) | 14.2909 | − | 9.77541i | 0.531116 | − | 0.363300i | ||||
\(725\) | −15.4649 | − | 4.54091i | −0.574353 | − | 0.168645i | ||||
\(726\) | −10.0255 | + | 3.10085i | −0.372080 | + | 0.115083i | ||||
\(727\) | 7.87061 | + | 5.05814i | 0.291905 | + | 0.187596i | 0.678394 | − | 0.734698i | \(-0.262676\pi\) |
−0.386489 | + | 0.922294i | \(0.626312\pi\) | |||||||
\(728\) | 39.2943 | + | 31.1889i | 1.45634 | + | 1.15594i | ||||
\(729\) | −0.959493 | + | 0.281733i | −0.0355368 | + | 0.0104345i | ||||
\(730\) | 0.0618647 | + | 4.30629i | 0.00228972 | + | 0.159383i | ||||
\(731\) | −3.19783 | − | 22.2414i | −0.118276 | − | 0.822628i | ||||
\(732\) | −13.3440 | + | 12.2512i | −0.493208 | + | 0.452817i | ||||
\(733\) | −25.0333 | + | 21.6915i | −0.924626 | + | 0.801193i | −0.980353 | − | 0.197253i | \(-0.936798\pi\) |
0.0557263 | + | 0.998446i | \(0.482253\pi\) | |||||||
\(734\) | 6.53647 | + | 4.06926i | 0.241265 | + | 0.150199i | ||||
\(735\) | −22.3010 | − | 10.1845i | −0.822585 | − | 0.375662i | ||||
\(736\) | 2.82736 | + | 3.77355i | 0.104218 | + | 0.139095i | ||||
\(737\) | −15.0847 | − | 31.7273i | −0.555651 | − | 1.16869i | ||||
\(738\) | 15.0190 | − | 7.12142i | 0.552856 | − | 0.262143i | ||||
\(739\) | −10.4614 | + | 22.9073i | −0.384830 | + | 0.842660i | 0.613756 | + | 0.789496i | \(0.289658\pi\) |
−0.998586 | + | 0.0531640i | \(0.983069\pi\) | |||||||
\(740\) | 64.0018 | + | 7.33248i | 2.35275 | + | 0.269547i | ||||
\(741\) | −4.11317 | − | 4.74685i | −0.151101 | − | 0.174380i | ||||
\(742\) | 11.3515 | + | 36.7011i | 0.416728 | + | 1.34734i | ||||
\(743\) | −13.5139 | + | 1.94300i | −0.495776 | + | 0.0712818i | −0.385668 | − | 0.922638i | \(-0.626029\pi\) |
−0.110108 | + | 0.993920i | \(0.535120\pi\) | |||||||
\(744\) | 0.555897 | − | 0.700365i | 0.0203802 | − | 0.0256766i | ||||
\(745\) | −18.1207 | − | 61.7136i | −0.663893 | − | 2.26101i | ||||
\(746\) | −0.205313 | − | 14.2915i | −0.00751704 | − | 0.523248i | ||||
\(747\) | 3.67501 | − | 5.71843i | 0.134462 | − | 0.209226i | ||||
\(748\) | 16.4042 | + | 17.8674i | 0.599797 | + | 0.653299i | ||||
\(749\) | 10.2235 | − | 34.8179i | 0.373557 | − | 1.27222i | ||||
\(750\) | −7.05546 | + | 1.11809i | −0.257629 | + | 0.0408269i | ||||
\(751\) | −14.4657 | + | 12.5346i | −0.527859 | + | 0.457393i | −0.877559 | − | 0.479469i | \(-0.840829\pi\) |
0.349699 | + | 0.936862i | \(0.386284\pi\) | |||||||
\(752\) | 20.7473 | + | 28.5358i | 0.756577 | + | 1.04059i | ||||
\(753\) | 3.01384 | − | 20.9617i | 0.109831 | − | 0.763888i | ||||
\(754\) | −4.42393 | + | 15.9084i | −0.161110 | + | 0.579350i | ||||
\(755\) | −18.2735 | − | 21.0888i | −0.665042 | − | 0.767500i | ||||
\(756\) | −7.29767 | − | 1.91689i | −0.265414 | − | 0.0697167i | ||||
\(757\) | 21.8847 | + | 34.0533i | 0.795413 | + | 1.23769i | 0.967566 | + | 0.252617i | \(0.0812914\pi\) |
−0.172153 | + | 0.985070i | \(0.555072\pi\) | |||||||
\(758\) | −1.24206 | + | 0.823671i | −0.0451136 | + | 0.0299171i | ||||
\(759\) | −1.93414 | + | 3.00959i | −0.0702050 | + | 0.109241i | ||||
\(760\) | 12.1228 | − | 4.13470i | 0.439741 | − | 0.149981i | ||||
\(761\) | 10.1823 | − | 11.7510i | 0.369108 | − | 0.425973i | −0.540563 | − | 0.841304i | \(-0.681789\pi\) |
0.909671 | + | 0.415330i | \(0.136334\pi\) | |||||||
\(762\) | 2.72022 | − | 0.431078i | 0.0985431 | − | 0.0156163i | ||||
\(763\) | 33.3475 | + | 28.8958i | 1.20726 | + | 1.04610i | ||||
\(764\) | −23.2004 | − | 13.9850i | −0.839361 | − | 0.505958i | ||||
\(765\) | 2.69858 | + | 9.19053i | 0.0975675 | + | 0.332284i | ||||
\(766\) | −8.02009 | − | 16.9143i | −0.289778 | − | 0.611137i | ||||
\(767\) | 13.1406 | 0.474479 | ||||||||
\(768\) | −12.3794 | + | 10.1366i | −0.446702 | + | 0.365774i | ||||
\(769\) | 15.9265 | − | 24.7822i | 0.574325 | − | 0.893668i | −0.425611 | − | 0.904906i | \(-0.639941\pi\) |
0.999937 | + | 0.0112383i | \(0.00357733\pi\) | |||||||
\(770\) | −59.3849 | − | 49.9820i | −2.14008 | − | 1.80123i | ||||
\(771\) | 11.2104 | + | 24.5473i | 0.403731 | + | 0.884048i | ||||
\(772\) | −48.1678 | + | 15.6598i | −1.73360 | + | 0.563607i | ||||
\(773\) | 22.3994 | − | 6.57707i | 0.805652 | − | 0.236561i | 0.147125 | − | 0.989118i | \(-0.452998\pi\) |
0.658527 | + | 0.752557i | \(0.271180\pi\) | |||||||
\(774\) | 4.81807 | + | 10.1612i | 0.173182 | + | 0.365238i | ||||
\(775\) | 2.05177 | 0.0737017 | ||||||||
\(776\) | 1.92853 | + | 44.7225i | 0.0692301 | + | 1.60544i | ||||
\(777\) | 5.10180 | + | 35.4838i | 0.183026 | + | 1.27297i | ||||
\(778\) | 34.4205 | + | 9.57191i | 1.23404 | + | 0.343170i | ||||
\(779\) | −15.0659 | − | 4.42376i | −0.539793 | − | 0.158498i | ||||
\(780\) | 5.44048 | + | 31.4057i | 0.194800 | + | 1.12450i | ||||
\(781\) | 30.0402 | + | 46.7434i | 1.07492 | + | 1.67261i | ||||
\(782\) | 3.30362 | + | 0.426647i | 0.118137 | + | 0.0152569i | ||||
\(783\) | −0.353428 | − | 2.45815i | −0.0126305 | − | 0.0878470i | ||||
\(784\) | −20.1698 | − | 20.7401i | −0.720350 | − | 0.740718i | ||||
\(785\) | −34.4354 | + | 15.7261i | −1.22905 | + | 0.561290i | ||||
\(786\) | 9.25022 | + | 4.06488i | 0.329945 | + | 0.144989i | ||||
\(787\) | 17.9737 | − | 20.7428i | 0.640695 | − | 0.739401i | −0.338803 | − | 0.940857i | \(-0.610022\pi\) |
0.979498 | + | 0.201456i | \(0.0645674\pi\) | |||||||
\(788\) | −23.5610 | + | 21.6315i | −0.839325 | + | 0.770589i | ||||
\(789\) | 1.31258 | − | 0.599434i | 0.0467290 | − | 0.0213404i | ||||
\(790\) | −46.6528 | − | 20.5009i | −1.65983 | − | 0.729388i | ||||
\(791\) | −18.8007 | + | 64.0292i | −0.668475 | + | 2.27662i | ||||
\(792\) | −10.4855 | − | 6.11696i | −0.372587 | − | 0.217357i | ||||
\(793\) | −6.06031 | + | 42.1503i | −0.215208 | + | 1.49680i | ||||
\(794\) | −4.09544 | + | 31.7118i | −0.145342 | + | 1.12541i | ||||
\(795\) | −10.1392 | + | 22.2018i | −0.359602 | + | 0.787418i | ||||
\(796\) | 31.6108 | + | 13.3525i | 1.12042 | + | 0.473266i | ||||
\(797\) | −2.47502 | + | 5.41953i | −0.0876695 | + | 0.191970i | −0.948388 | − | 0.317111i | \(-0.897287\pi\) |
0.860719 | + | 0.509081i | \(0.170014\pi\) | |||||||
\(798\) | 3.93926 | + | 5.94022i | 0.139448 | + | 0.210282i | ||||
\(799\) | 24.6702 | + | 3.54704i | 0.872769 | + | 0.125485i | ||||
\(800\) | −35.8782 | − | 7.78882i | −1.26849 | − | 0.275376i | ||||
\(801\) | −1.60669 | + | 1.03256i | −0.0567698 | + | 0.0364837i | ||||
\(802\) | −0.494320 | − | 34.4087i | −0.0174551 | − | 1.21502i | ||||
\(803\) | −3.85585 | −0.136070 | ||||||||
\(804\) | 6.13685 | − | 15.1769i | 0.216430 | − | 0.535249i | ||||
\(805\) | −10.6595 | −0.375697 | ||||||||
\(806\) | −0.0301939 | − | 2.10174i | −0.00106353 | − | 0.0740307i | ||||
\(807\) | 2.81850 | − | 1.81134i | 0.0992159 | − | 0.0637622i | ||||
\(808\) | 3.00405 | − | 1.53161i | 0.105682 | − | 0.0538818i | ||||
\(809\) | 2.27960 | + | 0.327757i | 0.0801464 | + | 0.0115233i | 0.182271 | − | 0.983248i | \(-0.441655\pi\) |
−0.102125 | + | 0.994772i | \(0.532564\pi\) | |||||||
\(810\) | −2.64937 | − | 3.99514i | −0.0930895 | − | 0.140375i | ||||
\(811\) | 7.70488 | − | 16.8713i | 0.270555 | − | 0.592433i | −0.724773 | − | 0.688988i | \(-0.758055\pi\) |
0.995328 | + | 0.0965554i | \(0.0307825\pi\) | |||||||
\(812\) | 7.29120 | − | 17.2613i | 0.255871 | − | 0.605751i | ||||
\(813\) | 5.43854 | − | 11.9087i | 0.190738 | − | 0.417658i | ||||
\(814\) | −7.38725 | + | 57.2010i | −0.258923 | + | 2.00489i | ||||
\(815\) | 11.2157 | − | 78.0068i | 0.392869 | − | 2.73246i | ||||
\(816\) | −0.963423 | + | 11.2619i | −0.0337265 | + | 0.394246i | ||||
\(817\) | 2.99294 | − | 10.1930i | 0.104710 | − | 0.356609i | ||||
\(818\) | −16.6460 | − | 7.31483i | −0.582013 | − | 0.255757i | ||||
\(819\) | −16.1341 | + | 7.36819i | −0.563770 | + | 0.257465i | ||||
\(820\) | 53.8884 | + | 58.6952i | 1.88187 | + | 2.04973i | ||||
\(821\) | −16.7907 | + | 19.3775i | −0.585998 | + | 0.676278i | −0.968883 | − | 0.247518i | \(-0.920385\pi\) |
0.382885 | + | 0.923796i | \(0.374931\pi\) | |||||||
\(822\) | 0.732720 | + | 0.321983i | 0.0255566 | + | 0.0112305i | ||||
\(823\) | −42.3180 | + | 19.3260i | −1.47511 | + | 0.673661i | −0.980691 | − | 0.195562i | \(-0.937347\pi\) |
−0.494421 | + | 0.869223i | \(0.664620\pi\) | |||||||
\(824\) | 0.621169 | + | 1.82125i | 0.0216394 | + | 0.0634463i | ||||
\(825\) | −3.96420 | − | 27.5716i | −0.138016 | − | 0.959920i | ||||
\(826\) | −14.7892 | − | 1.90995i | −0.514581 | − | 0.0664558i | ||||
\(827\) | −17.9945 | − | 27.9999i | −0.625729 | − | 0.973653i | −0.998946 | − | 0.0459086i | \(-0.985382\pi\) |
0.373217 | − | 0.927744i | \(-0.378255\pi\) | |||||||
\(828\) | −1.64263 | + | 0.284557i | −0.0570853 | + | 0.00988902i | ||||
\(829\) | −6.05487 | − | 1.77787i | −0.210294 | − | 0.0617479i | 0.174889 | − | 0.984588i | \(-0.444043\pi\) |
−0.385183 | + | 0.922840i | \(0.625862\pi\) | |||||||
\(830\) | 31.3945 | + | 8.73040i | 1.08972 | + | 0.303037i | ||||
\(831\) | 1.40910 | + | 9.80051i | 0.0488811 | + | 0.339976i | ||||
\(832\) | −7.45054 | + | 36.8666i | −0.258301 | + | 1.27812i | ||||
\(833\) | −20.4377 | −0.708123 | ||||||||
\(834\) | −10.0466 | − | 21.1882i | −0.347886 | − | 0.733687i | ||||
\(835\) | 47.1700 | − | 13.8504i | 1.63239 | − | 0.479312i | ||||
\(836\) | 3.54553 | + | 10.9057i | 0.122625 | + | 0.377181i | ||||
\(837\) | 0.131327 | + | 0.287567i | 0.00453934 | + | 0.00993977i | ||||
\(838\) | 36.8854 | + | 31.0450i | 1.27419 | + | 1.07243i | ||||
\(839\) | 26.4791 | − | 41.2023i | 0.914160 | − | 1.42246i | 0.00779224 | − | 0.999970i | \(-0.497520\pi\) |
0.906367 | − | 0.422490i | \(-0.138844\pi\) | |||||||
\(840\) | −1.55829 | − | 36.1366i | −0.0537660 | − | 1.24683i | ||||
\(841\) | −22.8326 | −0.787331 | ||||||||
\(842\) | 3.78681 | + | 7.98632i | 0.130502 | + | 0.275227i | ||||
\(843\) | −6.70463 | − | 22.8339i | −0.230920 | − | 0.786440i | ||||
\(844\) | −16.9947 | + | 28.1935i | −0.584983 | + | 0.970459i | ||||
\(845\) | 23.3226 | + | 20.2091i | 0.802321 | + | 0.695215i | ||||
\(846\) | −12.3200 | + | 1.95236i | −0.423569 | + | 0.0671237i | ||||
\(847\) | 18.3324 | − | 21.1567i | 0.629909 | − | 0.726953i | ||||
\(848\) | −20.6479 | + | 20.0801i | −0.709051 | + | 0.689554i | ||||
\(849\) | 12.4604 | − | 19.3888i | 0.427640 | − | 0.665421i | ||||
\(850\) | −21.6152 | + | 14.3341i | −0.741397 | + | 0.491657i | ||||
\(851\) | 4.28223 | + | 6.66328i | 0.146793 | + | 0.228414i | ||||
\(852\) | −6.57808 | + | 25.0430i | −0.225361 | + | 0.857957i | ||||
\(853\) | 12.5496 | + | 14.4830i | 0.429691 | + | 0.495890i | 0.928765 | − | 0.370670i | \(-0.120872\pi\) |
−0.499074 | + | 0.866560i | \(0.666326\pi\) | |||||||
\(854\) | 12.9471 | − | 46.5576i | 0.443040 | − | 1.59317i | ||||
\(855\) | −0.644473 | + | 4.48241i | −0.0220405 | + | 0.153295i | ||||
\(856\) | 26.7372 | − | 5.02836i | 0.913858 | − | 0.171866i | ||||
\(857\) | 12.9219 | − | 11.1969i | 0.441402 | − | 0.382477i | −0.405614 | − | 0.914045i | \(-0.632942\pi\) |
0.847016 | + | 0.531567i | \(0.178397\pi\) | |||||||
\(858\) | −28.1848 | + | 4.46649i | −0.962213 | + | 0.152484i | ||||
\(859\) | −1.94772 | + | 6.63333i | −0.0664554 | + | 0.226326i | −0.986024 | − | 0.166603i | \(-0.946720\pi\) |
0.919569 | + | 0.392929i | \(0.128538\pi\) | |||||||
\(860\) | −39.7109 | + | 36.4588i | −1.35413 | + | 1.24323i | ||||
\(861\) | −23.9725 | + | 37.3020i | −0.816982 | + | 1.27125i | ||||
\(862\) | −0.537464 | − | 37.4119i | −0.0183061 | − | 1.27425i | ||||
\(863\) | 12.6868 | + | 43.2074i | 0.431865 | + | 1.47080i | 0.832224 | + | 0.554439i | \(0.187067\pi\) |
−0.400359 | + | 0.916358i | \(0.631115\pi\) | |||||||
\(864\) | −1.20480 | − | 5.52706i | −0.0409883 | − | 0.188035i | ||||
\(865\) | 42.0200 | − | 6.04156i | 1.42872 | − | 0.205419i | ||||
\(866\) | −6.16849 | − | 19.9436i | −0.209614 | − | 0.677710i | ||||
\(867\) | −5.90361 | − | 6.81313i | −0.200497 | − | 0.231386i | ||||
\(868\) | −0.271502 | + | 2.36981i | −0.00921537 | + | 0.0804367i | ||||
\(869\) | 18.9527 | − | 41.5005i | 0.642925 | − | 1.40781i | ||||
\(870\) | 10.7570 | − | 5.10056i | 0.364696 | − | 0.172925i | ||||
\(871\) | −11.4099 | − | 36.7531i | −0.386609 | − | 1.24533i | ||||
\(872\) | −7.94406 | + | 32.1138i | −0.269020 | + | 1.08751i | ||||
\(873\) | −14.3963 | − | 6.57456i | −0.487240 | − | 0.222515i | ||||
\(874\) | 1.33693 | + | 0.832305i | 0.0452225 | + | 0.0281531i | ||||
\(875\) | 14.4018 | − | 12.4792i | 0.486869 | − | 0.421875i | ||||
\(876\) | −1.21518 | − | 1.32357i | −0.0410571 | − | 0.0447193i | ||||
\(877\) | −3.83618 | − | 26.6812i | −0.129538 | − | 0.900960i | −0.946140 | − | 0.323758i | \(-0.895054\pi\) |
0.816602 | − | 0.577202i | \(-0.195855\pi\) | |||||||
\(878\) | −0.208459 | − | 14.5105i | −0.00703515 | − | 0.489704i | ||||
\(879\) | 16.5519 | − | 4.86008i | 0.558282 | − | 0.163926i | ||||
\(880\) | 13.1613 | − | 56.6854i | 0.443666 | − | 1.91086i | ||||
\(881\) | −3.35733 | − | 2.15763i | −0.113111 | − | 0.0726923i | 0.482862 | − | 0.875696i | \(-0.339597\pi\) |
−0.595973 | + | 0.803004i | \(0.703234\pi\) | |||||||
\(882\) | 9.77174 | − | 3.02237i | 0.329031 | − | 0.101769i | ||||
\(883\) | 31.9836 | + | 9.39122i | 1.07633 | + | 0.316040i | 0.771411 | − | 0.636338i | \(-0.219552\pi\) |
0.304922 | + | 0.952377i | \(0.401370\pi\) | |||||||
\(884\) | 15.0014 | + | 21.9308i | 0.504550 | + | 0.737611i | ||||
\(885\) | −6.20427 | − | 7.16010i | −0.208554 | − | 0.240684i | ||||
\(886\) | 11.6036 | − | 13.7866i | 0.389832 | − | 0.463169i | ||||
\(887\) | −18.7075 | − | 2.68973i | −0.628135 | − | 0.0903122i | −0.179107 | − | 0.983830i | \(-0.557321\pi\) |
−0.449029 | + | 0.893517i | \(0.648230\pi\) | |||||||
\(888\) | −21.9631 | + | 15.4912i | −0.737034 | + | 0.519852i | ||||
\(889\) | −5.55258 | + | 4.81134i | −0.186228 | + | 0.161367i | ||||
\(890\) | −7.00472 | − | 5.89560i | −0.234799 | − | 0.197621i | ||||
\(891\) | 3.61058 | − | 2.32038i | 0.120959 | − | 0.0777355i | ||||
\(892\) | 1.59864 | − | 2.65206i | 0.0535264 | − | 0.0887977i | ||||
\(893\) | 9.91285 | + | 6.37060i | 0.331721 | + | 0.213184i | ||||
\(894\) | 22.7805 | + | 14.1820i | 0.761896 | + | 0.474316i | ||||
\(895\) | −5.52948 | − | 4.79132i | −0.184830 | − | 0.160156i | ||||
\(896\) | 13.7438 | − | 40.4090i | 0.459147 | − | 1.34997i | ||||
\(897\) | −2.56635 | + | 2.96172i | −0.0856878 | + | 0.0988890i | ||||
\(898\) | −5.69488 | + | 3.77655i | −0.190040 | + | 0.126025i | ||||
\(899\) | −0.753296 | + | 0.221188i | −0.0251238 | + | 0.00737702i | ||||
\(900\) | 8.21499 | − | 10.0500i | 0.273833 | − | 0.335000i | ||||
\(901\) | 20.3468i | 0.677850i | ||||||||
\(902\) | −53.2378 | + | 47.4868i | −1.77263 | + | 1.58114i | ||||
\(903\) | −25.2371 | − | 16.2189i | −0.839837 | − | 0.539731i | ||||
\(904\) | −49.1690 | + | 9.24704i | −1.63534 | + | 0.307552i | ||||
\(905\) | −26.6935 | + | 12.1905i | −0.887322 | + | 0.405226i | ||||
\(906\) | 11.5461 | + | 1.49112i | 0.383592 | + | 0.0495392i | ||||
\(907\) | −16.4809 | − | 56.1288i | −0.547240 | − | 1.86373i | −0.502218 | − | 0.864741i | \(-0.667483\pi\) |
−0.0450212 | − | 0.998986i | \(-0.514336\pi\) | |||||||
\(908\) | 25.7826 | + | 21.0750i | 0.855627 | + | 0.699400i | ||||
\(909\) | 1.19217i | 0.0395418i | ||||||||
\(910\) | −56.5981 | − | 63.4526i | −1.87621 | − | 2.10343i | ||||
\(911\) | −38.6720 | + | 5.56019i | −1.28126 | + | 0.184217i | −0.749117 | − | 0.662438i | \(-0.769522\pi\) |
−0.532142 | + | 0.846655i | \(0.678613\pi\) | |||||||
\(912\) | −2.62614 | + | 4.65400i | −0.0869603 | + | 0.154109i | ||||
\(913\) | −8.21933 | + | 27.9925i | −0.272020 | + | 0.926416i | ||||
\(914\) | −15.3465 | − | 4.26766i | −0.507617 | − | 0.141162i | ||||
\(915\) | 25.8284 | − | 16.5989i | 0.853862 | − | 0.548744i | ||||
\(916\) | −11.5836 | − | 35.6299i | −0.382732 | − | 1.17725i | ||||
\(917\) | −26.6794 | + | 3.83591i | −0.881030 | + | 0.126673i | ||||
\(918\) | −3.39253 | − | 2.11201i | −0.111970 | − | 0.0697068i | ||||
\(919\) | 2.58916 | + | 5.66946i | 0.0854084 | + | 0.187018i | 0.947517 | − | 0.319705i | \(-0.103584\pi\) |
−0.862109 | + | 0.506723i | \(0.830857\pi\) | |||||||
\(920\) | −3.62997 | − | 7.11972i | −0.119677 | − | 0.234730i | ||||
\(921\) | 12.8001 | + | 11.0914i | 0.421779 | + | 0.365474i | ||||
\(922\) | −1.86552 | + | 0.577001i | −0.0614377 | + | 0.0190025i | ||||
\(923\) | 25.2849 | + | 55.3663i | 0.832264 | + | 1.82240i | ||||
\(924\) | 32.3700 | − | 0.930255i | 1.06490 | − | 0.0306031i | ||||
\(925\) | −59.1736 | − | 17.3749i | −1.94562 | − | 0.571284i | ||||
\(926\) | 2.72891 | + | 17.2202i | 0.0896777 | + | 0.565891i | ||||
\(927\) | −0.673406 | − | 0.0968212i | −0.0221176 | − | 0.00318003i | ||||
\(928\) | 14.0121 | − | 1.00817i | 0.459971 | − | 0.0330947i | ||||
\(929\) | −12.2000 | − | 5.57156i | −0.400269 | − | 0.182797i | 0.205101 | − | 0.978741i | \(-0.434248\pi\) |
−0.605370 | + | 0.795944i | \(0.706975\pi\) | |||||||
\(930\) | −1.13095 | + | 1.00878i | −0.0370854 | + | 0.0330792i | ||||
\(931\) | −8.78927 | − | 4.01392i | −0.288057 | − | 0.131551i | ||||
\(932\) | 26.1885 | − | 43.4455i | 0.857833 | − | 1.42310i | ||||
\(933\) | −2.38513 | + | 16.5889i | −0.0780855 | + | 0.543097i | ||||
\(934\) | 16.0561 | + | 7.05562i | 0.525372 | + | 0.230867i | ||||
\(935\) | −22.2258 | − | 34.5840i | −0.726861 | − | 1.13102i | ||||
\(936\) | −10.4157 | − | 8.26718i | −0.340447 | − | 0.270221i | ||||
\(937\) | − | 24.0852i | − | 0.786830i | −0.919361 | − | 0.393415i | \(-0.871294\pi\) | ||
0.919361 | − | 0.393415i | \(-0.128706\pi\) | |||||||
\(938\) | 7.49938 | + | 43.0224i | 0.244863 | + | 1.40473i | ||||
\(939\) | − | 4.32839i | − | 0.141252i | ||||||
\(940\) | −26.3925 | − | 53.6565i | −0.860827 | − | 1.75008i | ||||
\(941\) | 5.45999 | + | 8.49590i | 0.177990 | + | 0.276959i | 0.918773 | − | 0.394786i | \(-0.129181\pi\) |
−0.740782 | + | 0.671745i | \(0.765545\pi\) | |||||||
\(942\) | 6.35401 | − | 14.4595i | 0.207025 | − | 0.471115i | ||||
\(943\) | −1.39426 | + | 9.69728i | −0.0454033 | + | 0.315787i | ||||
\(944\) | −3.76059 | − | 10.5285i | −0.122397 | − | 0.342672i | ||||
\(945\) | 11.6324 | + | 5.31236i | 0.378404 | + | 0.172811i | ||||
\(946\) | −32.1277 | − | 36.0186i | −1.04456 | − | 1.17107i | ||||
\(947\) | 10.8206 | + | 4.94161i | 0.351623 | + | 0.160581i | 0.583393 | − | 0.812190i | \(-0.301725\pi\) |
−0.231770 | + | 0.972770i | \(0.574452\pi\) | |||||||
\(948\) | 20.2186 | − | 6.57322i | 0.656669 | − | 0.213488i | ||||
\(949\) | −4.18084 | − | 0.601114i | −0.135716 | − | 0.0195130i | ||||
\(950\) | −12.1109 | + | 1.91923i | −0.392929 | + | 0.0622682i | ||||
\(951\) | −4.24441 | − | 1.24627i | −0.137634 | − | 0.0404131i | ||||
\(952\) | −13.6958 | − | 26.8626i | −0.443884 | − | 0.870621i | ||||
\(953\) | −6.35341 | − | 13.9120i | −0.205807 | − | 0.450655i | 0.778378 | − | 0.627795i | \(-0.216043\pi\) |
−0.984186 | + | 0.177141i | \(0.943315\pi\) | |||||||
\(954\) | −3.00893 | − | 9.72829i | −0.0974178 | − | 0.314965i | ||||
\(955\) | 34.6985 | + | 30.0664i | 1.12282 | + | 0.972927i | ||||
\(956\) | −11.0900 | + | 0.318708i | −0.358677 | + | 0.0103077i | ||||
\(957\) | 4.42775 | + | 9.69541i | 0.143129 | + | 0.313408i | ||||
\(958\) | −3.74087 | + | 6.00897i | −0.120862 | + | 0.194141i | ||||
\(959\) | −2.11330 | + | 0.303847i | −0.0682421 | + | 0.00981173i | ||||
\(960\) | 23.6058 | − | 13.3467i | 0.761875 | − | 0.430764i | ||||
\(961\) | −25.9948 | + | 16.7058i | −0.838541 | + | 0.538898i | ||||
\(962\) | −16.9273 | + | 60.8705i | −0.545759 | + | 1.96254i | ||||
\(963\) | −2.70991 | + | 9.22911i | −0.0873257 | + | 0.297404i | ||||
\(964\) | −8.04548 | − | 46.4433i | −0.259128 | − | 1.49584i | ||||
\(965\) | 84.9698 | − | 12.2168i | 2.73528 | − | 0.393273i | ||||
\(966\) | 3.31880 | − | 2.96028i | 0.106781 | − | 0.0952455i | ||||
\(967\) | 2.96088i | 0.0952155i | 0.998866 | + | 0.0476078i | \(0.0151598\pi\) | ||||
−0.998866 | + | 0.0476078i | \(0.984840\pi\) | |||||||
\(968\) | 20.3740 | + | 5.03995i | 0.654844 | + | 0.161990i | ||||
\(969\) | 1.06357 | + | 3.62217i | 0.0341667 | + | 0.116361i | ||||
\(970\) | 9.71739 | − | 75.2437i | 0.312006 | − | 2.41593i | ||||
\(971\) | 40.0616 | − | 18.2955i | 1.28564 | − | 0.587132i | 0.348900 | − | 0.937160i | \(-0.386555\pi\) |
0.936739 | + | 0.350028i | \(0.113828\pi\) | |||||||
\(972\) | 1.93438 | + | 0.508107i | 0.0620453 | + | 0.0162975i | ||||
\(973\) | 52.6243 | + | 33.8196i | 1.68706 | + | 1.08421i | ||||
\(974\) | 19.6032 | + | 21.9774i | 0.628129 | + | 0.704200i | ||||
\(975\) | − | 30.5135i | − | 0.977213i | ||||||
\(976\) | 35.5059 | − | 7.20703i | 1.13652 | − | 0.230691i | ||||
\(977\) | −39.6962 | + | 11.6559i | −1.26999 | + | 0.372904i | −0.846205 | − | 0.532857i | \(-0.821118\pi\) |
−0.423788 | + | 0.905761i | \(0.639300\pi\) | |||||||
\(978\) | 18.1716 | + | 27.4020i | 0.581064 | + | 0.876218i | ||||
\(979\) | 5.36791 | − | 6.19490i | 0.171559 | − | 0.197990i | ||||
\(980\) | 27.6832 | + | 40.4707i | 0.884309 | + | 1.29279i | ||||
\(981\) | −8.83937 | − | 7.65936i | −0.282219 | − | 0.244545i | ||||
\(982\) | −21.2673 | + | 34.1617i | −0.678666 | + | 1.09014i | ||||
\(983\) | −45.9203 | − | 29.5112i | −1.46463 | − | 0.941261i | −0.998397 | − | 0.0565986i | \(-0.981974\pi\) |
−0.466233 | − | 0.884662i | \(-0.654389\pi\) | |||||||
\(984\) | −33.0785 | − | 3.30904i | −1.05450 | − | 0.105488i | ||||
\(985\) | 45.6043 | − | 29.3081i | 1.45308 | − | 0.933835i | ||||
\(986\) | 6.39065 | − | 7.59290i | 0.203520 | − | 0.241807i | ||||
\(987\) | 25.1478 | − | 21.7907i | 0.800464 | − | 0.693606i | ||||
\(988\) | 2.14420 | + | 12.3776i | 0.0682162 | + | 0.393784i | ||||
\(989\) | −6.56080 | − | 0.943301i | −0.208621 | − | 0.0299952i | ||||
\(990\) | 15.7410 | + | 13.2486i | 0.500283 | + | 0.421069i | ||||
\(991\) | −3.25483 | − | 3.75627i | −0.103393 | − | 0.119322i | 0.701694 | − | 0.712478i | \(-0.252427\pi\) |
−0.805088 | + | 0.593156i | \(0.797882\pi\) | |||||||
\(992\) | −1.67531 | + | 0.625672i | −0.0531912 | + | 0.0198651i | ||||
\(993\) | 25.0215 | + | 7.34697i | 0.794033 | + | 0.233149i | ||||
\(994\) | −20.4098 | − | 65.9876i | −0.647359 | − | 2.09300i | ||||
\(995\) | −48.9267 | − | 31.4433i | −1.55108 | − | 0.996820i | ||||
\(996\) | −12.1991 | + | 6.00049i | −0.386544 | + | 0.190133i | ||||
\(997\) | −20.4245 | + | 5.99717i | −0.646850 | + | 0.189932i | −0.588670 | − | 0.808374i | \(-0.700348\pi\) |
−0.0581805 | + | 0.998306i | \(0.518530\pi\) | |||||||
\(998\) | 30.8778 | − | 0.443594i | 0.977420 | − | 0.0140417i | ||||
\(999\) | −1.35232 | − | 9.40563i | −0.0427857 | − | 0.297581i |
(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 | 804.2.u.b.43.1 | yes | 340 | |
4.3 | odd | 2 | 804.2.u.a.43.8 | ✓ | 340 | ||
67.53 | odd | 22 | 804.2.u.a.187.8 | yes | 340 | ||
268.187 | even | 22 | inner | 804.2.u.b.187.1 | yes | 340 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.u.a.43.8 | ✓ | 340 | 4.3 | odd | 2 | ||
804.2.u.a.187.8 | yes | 340 | 67.53 | odd | 22 | ||
804.2.u.b.43.1 | yes | 340 | 1.1 | even | 1 | trivial | |
804.2.u.b.187.1 | yes | 340 | 268.187 | even | 22 | inner |