Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [304,2,Mod(3,304)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(304, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 27, 26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("304.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 304 = 2^{4} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 304.bg (of order \(36\), degree \(12\), 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: | \(2.42745222145\) |
Analytic rank: | \(0\) |
Dimension: | \(456\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 155.36 | ||
Character | \(\chi\) | \(=\) | 304.155 |
Dual form | 304.2.bg.a.51.36 |
$q$-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 \(\left(\mathbb{Z}/304\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(191\) | \(229\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.39630 | + | 0.224382i | 0.987333 | + | 0.158662i | ||||
\(3\) | −1.37269 | + | 2.94375i | −0.792525 | + | 1.69958i | −0.0812157 | + | 0.996697i | \(0.525880\pi\) |
−0.711309 | + | 0.702879i | \(0.751898\pi\) | |||||||
\(4\) | 1.89931 | + | 0.626609i | 0.949653 | + | 0.313305i | ||||
\(5\) | 1.97288 | − | 1.38143i | 0.882299 | − | 0.617793i | −0.0421443 | − | 0.999112i | \(-0.513419\pi\) |
0.924444 | + | 0.381319i | \(0.124530\pi\) | |||||||
\(6\) | −2.57722 | + | 3.80235i | −1.05214 | + | 1.55230i | ||||
\(7\) | 1.46995 | + | 2.54603i | 0.555589 | + | 0.962308i | 0.997857 | + | 0.0654257i | \(0.0208405\pi\) |
−0.442268 | + | 0.896883i | \(0.645826\pi\) | |||||||
\(8\) | 2.51140 | + | 1.30110i | 0.887914 | + | 0.460010i | ||||
\(9\) | −4.85302 | − | 5.78360i | −1.61767 | − | 1.92787i | ||||
\(10\) | 3.06470 | − | 1.48621i | 0.969143 | − | 0.469980i | ||||
\(11\) | −0.908546 | − | 3.39074i | −0.273937 | − | 1.02235i | −0.956550 | − | 0.291567i | \(-0.905823\pi\) |
0.682613 | − | 0.730780i | \(-0.260843\pi\) | |||||||
\(12\) | −4.45175 | + | 4.73094i | −1.28511 | + | 1.36570i | ||||
\(13\) | 0.958964 | + | 2.05651i | 0.265969 | + | 0.570372i | 0.993253 | − | 0.115964i | \(-0.0369957\pi\) |
−0.727285 | + | 0.686336i | \(0.759218\pi\) | |||||||
\(14\) | 1.48121 | + | 3.88485i | 0.395869 | + | 1.03827i | ||||
\(15\) | 1.35841 | + | 7.70395i | 0.350741 | + | 1.98915i | ||||
\(16\) | 3.21472 | + | 2.38024i | 0.803680 | + | 0.595061i | ||||
\(17\) | −5.21968 | − | 4.37983i | −1.26596 | − | 1.06226i | −0.995021 | − | 0.0996672i | \(-0.968222\pi\) |
−0.270937 | − | 0.962597i | \(-0.587333\pi\) | |||||||
\(18\) | −5.47853 | − | 9.16458i | −1.29130 | − | 2.16011i | ||||
\(19\) | −2.72076 | + | 3.40551i | −0.624184 | + | 0.781277i | ||||
\(20\) | 4.61272 | − | 1.38752i | 1.03144 | − | 0.310260i | ||||
\(21\) | −9.51267 | + | 0.832251i | −2.07583 | + | 0.181612i | ||||
\(22\) | −0.507781 | − | 4.93835i | −0.108259 | − | 1.05286i | ||||
\(23\) | −0.997546 | − | 5.65736i | −0.208003 | − | 1.17964i | −0.892644 | − | 0.450762i | \(-0.851152\pi\) |
0.684642 | − | 0.728880i | \(-0.259959\pi\) | |||||||
\(24\) | −7.27751 | + | 5.60692i | −1.48552 | + | 1.14451i | ||||
\(25\) | 0.273821 | − | 0.752316i | 0.0547641 | − | 0.150463i | ||||
\(26\) | 0.877558 | + | 3.08667i | 0.172103 | + | 0.605346i | ||||
\(27\) | 14.2750 | − | 3.82498i | 2.74723 | − | 0.736118i | ||||
\(28\) | 1.19652 | + | 5.75677i | 0.226121 | + | 1.08793i | ||||
\(29\) | 2.43725 | + | 0.213231i | 0.452585 | + | 0.0395961i | 0.311170 | − | 0.950354i | \(-0.399279\pi\) |
0.141415 | + | 0.989950i | \(0.454835\pi\) | |||||||
\(30\) | 0.168125 | + | 11.0618i | 0.0306953 | + | 2.01960i | ||||
\(31\) | −0.381793 | − | 0.661284i | −0.0685720 | − | 0.118770i | 0.829701 | − | 0.558208i | \(-0.188511\pi\) |
−0.898273 | + | 0.439438i | \(0.855178\pi\) | |||||||
\(32\) | 3.95463 | + | 4.04486i | 0.699087 | + | 0.715037i | ||||
\(33\) | 11.2287 | + | 1.97991i | 1.95466 | + | 0.344659i | ||||
\(34\) | −6.30548 | − | 7.28675i | −1.08138 | − | 1.24967i | ||||
\(35\) | 6.41719 | + | 2.99238i | 1.08470 | + | 0.505805i | ||||
\(36\) | −5.59331 | − | 14.0258i | −0.932218 | − | 2.33763i | ||||
\(37\) | 5.50108 | − | 5.50108i | 0.904372 | − | 0.904372i | −0.0914384 | − | 0.995811i | \(-0.529146\pi\) |
0.995811 | + | 0.0914384i | \(0.0291465\pi\) | |||||||
\(38\) | −4.56313 | + | 4.14462i | −0.740237 | + | 0.672346i | ||||
\(39\) | −7.37020 | −1.18018 | ||||||||
\(40\) | 6.75207 | − | 0.902389i | 1.06760 | − | 0.142680i | ||||
\(41\) | 0.138065 | − | 0.0502516i | 0.0215622 | − | 0.00784798i | −0.331217 | − | 0.943555i | \(-0.607459\pi\) |
0.352779 | + | 0.935707i | \(0.385237\pi\) | |||||||
\(42\) | −13.4693 | − | 0.972401i | −2.07835 | − | 0.150045i | ||||
\(43\) | 2.92637 | + | 4.17928i | 0.446267 | + | 0.637335i | 0.977760 | − | 0.209728i | \(-0.0672578\pi\) |
−0.531493 | + | 0.847063i | \(0.678369\pi\) | |||||||
\(44\) | 0.399063 | − | 7.00936i | 0.0601610 | − | 1.05670i | ||||
\(45\) | −17.5641 | − | 4.70627i | −2.61829 | − | 0.701570i | ||||
\(46\) | −0.123462 | − | 8.12321i | −0.0182035 | − | 1.19770i | ||||
\(47\) | −2.52575 | − | 3.01007i | −0.368418 | − | 0.439063i | 0.549705 | − | 0.835359i | \(-0.314740\pi\) |
−0.918123 | + | 0.396295i | \(0.870296\pi\) | |||||||
\(48\) | −11.4197 | + | 6.19599i | −1.64829 | + | 0.894315i | ||||
\(49\) | −0.821508 | + | 1.42289i | −0.117358 | + | 0.203271i | ||||
\(50\) | 0.551142 | − | 0.989018i | 0.0779432 | − | 0.139868i | ||||
\(51\) | 20.0581 | − | 9.35327i | 2.80870 | − | 1.30972i | ||||
\(52\) | 0.532741 | + | 4.50683i | 0.0738778 | + | 0.624985i | ||||
\(53\) | 0.675331 | + | 0.472872i | 0.0927638 | + | 0.0649539i | 0.619038 | − | 0.785361i | \(-0.287523\pi\) |
−0.526274 | + | 0.850315i | \(0.676412\pi\) | |||||||
\(54\) | 20.7905 | − | 2.13776i | 2.82922 | − | 0.290912i | ||||
\(55\) | −6.47651 | − | 5.43444i | −0.873293 | − | 0.732780i | ||||
\(56\) | 0.378983 | + | 8.30665i | 0.0506438 | + | 1.11002i | ||||
\(57\) | −6.29020 | − | 12.6839i | −0.833158 | − | 1.68003i | ||||
\(58\) | 3.35528 | + | 0.844609i | 0.440570 | + | 0.110903i | ||||
\(59\) | 0.710079 | + | 8.11625i | 0.0924445 | + | 1.05665i | 0.890781 | + | 0.454433i | \(0.150158\pi\) |
−0.798336 | + | 0.602212i | \(0.794286\pi\) | |||||||
\(60\) | −2.24732 | + | 15.4833i | −0.290128 | + | 1.99889i | ||||
\(61\) | 4.22429 | + | 2.95788i | 0.540864 | + | 0.378717i | 0.811850 | − | 0.583866i | \(-0.198461\pi\) |
−0.270986 | + | 0.962583i | \(0.587350\pi\) | |||||||
\(62\) | −0.384717 | − | 1.00902i | −0.0488591 | − | 0.128145i | ||||
\(63\) | 7.59152 | − | 20.8575i | 0.956442 | − | 2.62780i | ||||
\(64\) | 4.61425 | + | 6.53519i | 0.576782 | + | 0.816898i | ||||
\(65\) | 4.73283 | + | 2.73250i | 0.587036 | + | 0.338925i | ||||
\(66\) | 15.2343 | + | 5.28406i | 1.87521 | + | 0.650423i | ||||
\(67\) | 1.07866 | − | 12.3292i | 0.131779 | − | 1.50625i | −0.586191 | − | 0.810173i | \(-0.699373\pi\) |
0.717971 | − | 0.696073i | \(-0.245071\pi\) | |||||||
\(68\) | −7.16932 | − | 11.5893i | −0.869407 | − | 1.40541i | ||||
\(69\) | 18.0232 | + | 4.82930i | 2.16974 | + | 0.581380i | ||||
\(70\) | 8.28888 | + | 5.61817i | 0.990711 | + | 0.671499i | ||||
\(71\) | −9.87473 | − | 1.74118i | −1.17191 | − | 0.206640i | −0.446391 | − | 0.894838i | \(-0.647291\pi\) |
−0.725523 | + | 0.688198i | \(0.758402\pi\) | |||||||
\(72\) | −4.66280 | − | 20.8392i | −0.549516 | − | 2.45593i | ||||
\(73\) | 1.98302 | + | 5.44830i | 0.232095 | + | 0.637675i | 0.999996 | − | 0.00289327i | \(-0.000920959\pi\) |
−0.767901 | + | 0.640569i | \(0.778699\pi\) | |||||||
\(74\) | 8.91550 | − | 6.44681i | 1.03641 | − | 0.749427i | ||||
\(75\) | 1.83876 | + | 1.83876i | 0.212322 | + | 0.212322i | ||||
\(76\) | −7.30147 | + | 4.76325i | −0.837536 | + | 0.546382i | ||||
\(77\) | 7.29741 | − | 7.29741i | 0.831617 | − | 0.831617i | ||||
\(78\) | −10.2910 | − | 1.65374i | −1.16523 | − | 0.187249i | ||||
\(79\) | −7.90454 | + | 2.87702i | −0.889330 | + | 0.323690i | −0.745969 | − | 0.665981i | \(-0.768013\pi\) |
−0.143361 | + | 0.989670i | \(0.545791\pi\) | |||||||
\(80\) | 9.63040 | + | 0.255039i | 1.07671 | + | 0.0285142i | ||||
\(81\) | −4.40233 | + | 24.9669i | −0.489148 | + | 2.77410i | ||||
\(82\) | 0.204056 | − | 0.0391870i | 0.0225342 | − | 0.00432748i | ||||
\(83\) | 0.248315 | − | 0.926722i | 0.0272561 | − | 0.101721i | −0.950958 | − | 0.309321i | \(-0.899898\pi\) |
0.978214 | + | 0.207600i | \(0.0665651\pi\) | |||||||
\(84\) | −18.5890 | − | 4.38003i | −2.02822 | − | 0.477900i | ||||
\(85\) | −16.3482 | − | 1.43028i | −1.77321 | − | 0.155136i | ||||
\(86\) | 3.14833 | + | 6.49216i | 0.339493 | + | 0.700067i | ||||
\(87\) | −3.97329 | + | 6.88195i | −0.425982 | + | 0.737822i | ||||
\(88\) | 2.12999 | − | 9.69762i | 0.227057 | − | 1.03377i | ||||
\(89\) | −9.66380 | − | 3.51734i | −1.02436 | − | 0.372837i | −0.225430 | − | 0.974259i | \(-0.572379\pi\) |
−0.798931 | + | 0.601423i | \(0.794601\pi\) | |||||||
\(90\) | −23.4687 | − | 10.5124i | −2.47382 | − | 1.10811i | ||||
\(91\) | −3.82629 | + | 5.46451i | −0.401104 | + | 0.572836i | ||||
\(92\) | 1.65031 | − | 11.3701i | 0.172057 | − | 1.18542i | ||||
\(93\) | 2.47074 | − | 0.216162i | 0.256204 | − | 0.0224149i | ||||
\(94\) | −2.85129 | − | 4.76969i | −0.294088 | − | 0.491956i | ||||
\(95\) | −0.663270 | + | 10.4772i | −0.0680500 | + | 1.07494i | ||||
\(96\) | −17.3356 | + | 6.08909i | −1.76930 | + | 0.621465i | ||||
\(97\) | 1.67248 | − | 1.99318i | 0.169814 | − | 0.202377i | −0.674425 | − | 0.738344i | \(-0.735608\pi\) |
0.844239 | + | 0.535967i | \(0.180053\pi\) | |||||||
\(98\) | −1.46634 | + | 1.80245i | −0.148123 | + | 0.182075i | ||||
\(99\) | −15.2015 | + | 21.7100i | −1.52781 | + | 2.18194i | ||||
\(100\) | 0.991477 | − | 1.25730i | 0.0991477 | − | 0.125730i | ||||
\(101\) | 2.15166 | + | 4.61424i | 0.214098 | + | 0.459134i | 0.983800 | − | 0.179269i | \(-0.0573732\pi\) |
−0.769702 | + | 0.638403i | \(0.779595\pi\) | |||||||
\(102\) | 30.1059 | − | 8.55927i | 2.98093 | − | 0.847494i | ||||
\(103\) | 5.28852 | + | 3.05333i | 0.521093 | + | 0.300853i | 0.737382 | − | 0.675476i | \(-0.236062\pi\) |
−0.216289 | + | 0.976329i | \(0.569395\pi\) | |||||||
\(104\) | −0.267386 | + | 6.41242i | −0.0262193 | + | 0.628789i | ||||
\(105\) | −17.6177 | + | 14.7830i | −1.71931 | + | 1.44267i | ||||
\(106\) | 0.836860 | + | 0.811802i | 0.0812830 | + | 0.0788492i | ||||
\(107\) | −1.23700 | + | 4.61657i | −0.119586 | + | 0.446300i | −0.999589 | − | 0.0286675i | \(-0.990874\pi\) |
0.880003 | + | 0.474968i | \(0.157540\pi\) | |||||||
\(108\) | 29.5094 | + | 1.68005i | 2.83954 | + | 0.161663i | ||||
\(109\) | −7.20439 | + | 5.04457i | −0.690055 | + | 0.483182i | −0.865243 | − | 0.501353i | \(-0.832836\pi\) |
0.175188 | + | 0.984535i | \(0.443947\pi\) | |||||||
\(110\) | −7.82376 | − | 9.04132i | −0.745966 | − | 0.862056i | ||||
\(111\) | 8.64252 | + | 23.7451i | 0.820311 | + | 2.25379i | ||||
\(112\) | −1.33469 | + | 11.6836i | −0.126116 | + | 1.10400i | ||||
\(113\) | − | 2.48888i | − | 0.234134i | −0.993124 | − | 0.117067i | \(-0.962651\pi\) | ||
0.993124 | − | 0.117067i | \(-0.0373492\pi\) | |||||||
\(114\) | −5.93696 | − | 19.1220i | −0.556047 | − | 1.79094i | ||||
\(115\) | −9.78327 | − | 9.78327i | −0.912295 | − | 0.912295i | ||||
\(116\) | 4.49546 | + | 1.93219i | 0.417393 | + | 0.179400i | ||||
\(117\) | 7.24014 | − | 15.5265i | 0.669351 | − | 1.43543i | ||||
\(118\) | −0.829656 | + | 11.4920i | −0.0763761 | + | 1.05793i | ||||
\(119\) | 3.47850 | − | 19.7276i | 0.318874 | − | 1.80842i | ||||
\(120\) | −6.61212 | + | 21.1151i | −0.603601 | + | 1.92754i | ||||
\(121\) | −1.14539 | + | 0.661292i | −0.104127 | + | 0.0601175i | ||||
\(122\) | 5.23467 | + | 5.07794i | 0.473925 | + | 0.459735i | ||||
\(123\) | −0.0415930 | + | 0.475410i | −0.00375031 | + | 0.0428662i | ||||
\(124\) | −0.310774 | − | 1.49522i | −0.0279083 | − | 0.134274i | ||||
\(125\) | 2.61770 | + | 9.76939i | 0.234134 | + | 0.873801i | ||||
\(126\) | 15.2801 | − | 27.4200i | 1.36126 | − | 2.44277i | ||||
\(127\) | −13.9648 | − | 5.08277i | −1.23917 | − | 0.451023i | −0.362445 | − | 0.932005i | \(-0.618058\pi\) |
−0.876730 | + | 0.480982i | \(0.840280\pi\) | |||||||
\(128\) | 4.97650 | + | 10.1604i | 0.439865 | + | 0.898064i | ||||
\(129\) | −16.3198 | + | 2.87762i | −1.43688 | + | 0.253360i | ||||
\(130\) | 5.99533 | + | 4.87735i | 0.525825 | + | 0.427772i | ||||
\(131\) | 1.36191 | + | 15.5667i | 0.118991 | + | 1.36007i | 0.787477 | + | 0.616344i | \(0.211387\pi\) |
−0.668486 | + | 0.743725i | \(0.733057\pi\) | |||||||
\(132\) | 20.0860 | + | 10.7964i | 1.74826 | + | 0.939710i | ||||
\(133\) | −12.6699 | − | 1.92119i | −1.09862 | − | 0.166589i | ||||
\(134\) | 4.27257 | − | 16.9732i | 0.369094 | − | 1.46626i | ||||
\(135\) | 22.8790 | − | 27.2661i | 1.96911 | − | 2.34669i | ||||
\(136\) | −7.41008 | − | 17.7908i | −0.635409 | − | 1.52555i | ||||
\(137\) | −3.12787 | + | 0.551529i | −0.267232 | + | 0.0471203i | −0.305659 | − | 0.952141i | \(-0.598877\pi\) |
0.0384263 | + | 0.999261i | \(0.487766\pi\) | |||||||
\(138\) | 24.0822 | + | 10.7872i | 2.05001 | + | 0.918270i | ||||
\(139\) | −2.91443 | + | 1.35902i | −0.247199 | + | 0.115271i | −0.542269 | − | 0.840205i | \(-0.682435\pi\) |
0.295070 | + | 0.955476i | \(0.404657\pi\) | |||||||
\(140\) | 10.3131 | + | 9.70452i | 0.871620 | + | 0.820182i | ||||
\(141\) | 12.3280 | − | 3.30327i | 1.03820 | − | 0.278185i | ||||
\(142\) | −13.3974 | − | 4.64692i | −1.12428 | − | 0.389961i | ||||
\(143\) | 6.10181 | − | 5.12003i | 0.510259 | − | 0.428158i | ||||
\(144\) | −1.83472 | − | 30.1441i | −0.152893 | − | 2.51200i | ||||
\(145\) | 5.10296 | − | 2.94620i | 0.423778 | − | 0.244668i | ||||
\(146\) | 1.54639 | + | 8.05241i | 0.127980 | + | 0.666422i | ||||
\(147\) | −3.06097 | − | 4.37151i | −0.252464 | − | 0.360556i | ||||
\(148\) | 13.8953 | − | 7.00121i | 1.14218 | − | 0.575496i | ||||
\(149\) | −10.7567 | − | 5.01591i | −0.881220 | − | 0.410920i | −0.0712964 | − | 0.997455i | \(-0.522714\pi\) |
−0.809923 | + | 0.586536i | \(0.800491\pi\) | |||||||
\(150\) | 2.15487 | + | 2.98004i | 0.175945 | + | 0.243319i | ||||
\(151\) | 12.8778i | 1.04798i | 0.851725 | + | 0.523988i | \(0.175556\pi\) | ||||
−0.851725 | + | 0.523988i | \(0.824444\pi\) | |||||||
\(152\) | −11.2638 | + | 5.01260i | −0.913617 | + | 0.406576i | ||||
\(153\) | 51.4439i | 4.15900i | ||||||||
\(154\) | 11.8268 | − | 8.55196i | 0.953029 | − | 0.689137i | ||||
\(155\) | −1.66675 | − | 0.777217i | −0.133876 | − | 0.0624276i | ||||
\(156\) | −13.9983 | − | 4.61824i | −1.12076 | − | 0.369755i | ||||
\(157\) | −11.0631 | − | 15.7998i | −0.882934 | − | 1.26096i | −0.964444 | − | 0.264288i | \(-0.914863\pi\) |
0.0815094 | − | 0.996673i | \(-0.474026\pi\) | |||||||
\(158\) | −11.6827 | + | 2.24354i | −0.929422 | + | 0.178486i | ||||
\(159\) | −2.31904 | + | 1.33890i | −0.183912 | + | 0.106181i | ||||
\(160\) | 13.3897 | + | 2.51700i | 1.05855 | + | 0.198986i | ||||
\(161\) | 12.9375 | − | 10.8558i | 1.01962 | − | 0.855559i | ||||
\(162\) | −11.7491 | + | 33.8734i | −0.923096 | + | 2.66135i | ||||
\(163\) | 12.4411 | − | 3.33357i | 0.974460 | − | 0.261106i | 0.263750 | − | 0.964591i | \(-0.415041\pi\) |
0.710710 | + | 0.703485i | \(0.248374\pi\) | |||||||
\(164\) | 0.293716 | − | 0.00893024i | 0.0229354 | − | 0.000697335i | ||||
\(165\) | 24.8879 | − | 11.6054i | 1.93752 | − | 0.903481i | ||||
\(166\) | 0.554661 | − | 1.23826i | 0.0430501 | − | 0.0961080i | ||||
\(167\) | 15.1766 | − | 2.67604i | 1.17440 | − | 0.207078i | 0.447795 | − | 0.894136i | \(-0.352209\pi\) |
0.726602 | + | 0.687058i | \(0.241098\pi\) | |||||||
\(168\) | −24.9730 | − | 10.2869i | −1.92671 | − | 0.793648i | ||||
\(169\) | 5.04664 | − | 6.01435i | 0.388203 | − | 0.462642i | ||||
\(170\) | −22.5061 | − | 5.66535i | −1.72614 | − | 0.434512i | ||||
\(171\) | 32.9000 | − | 0.791224i | 2.51593 | − | 0.0605064i | ||||
\(172\) | 2.93928 | + | 9.77142i | 0.224118 | + | 0.745064i | ||||
\(173\) | −0.420643 | − | 4.80797i | −0.0319809 | − | 0.365543i | −0.995275 | − | 0.0970952i | \(-0.969045\pi\) |
0.963294 | − | 0.268448i | \(-0.0865107\pi\) | |||||||
\(174\) | −7.09209 | + | 8.71772i | −0.537650 | + | 0.660889i | ||||
\(175\) | 2.31792 | − | 0.408712i | 0.175218 | − | 0.0308957i | ||||
\(176\) | 5.15007 | − | 13.0629i | 0.388201 | − | 0.984650i | ||||
\(177\) | −24.8669 | − | 9.05082i | −1.86911 | − | 0.680301i | ||||
\(178\) | −12.7043 | − | 7.07964i | −0.952230 | − | 0.530641i | ||||
\(179\) | −4.80842 | − | 17.9453i | −0.359398 | − | 1.34129i | −0.874858 | − | 0.484379i | \(-0.839045\pi\) |
0.515460 | − | 0.856914i | \(-0.327621\pi\) | |||||||
\(180\) | −30.4105 | − | 19.9445i | −2.26667 | − | 1.48657i | ||||
\(181\) | −1.20003 | + | 13.7164i | −0.0891975 | + | 1.01953i | 0.811288 | + | 0.584647i | \(0.198767\pi\) |
−0.900486 | + | 0.434886i | \(0.856789\pi\) | |||||||
\(182\) | −6.56879 | + | 6.77154i | −0.486911 | + | 0.501940i | ||||
\(183\) | −14.5059 | + | 8.37499i | −1.07231 | + | 0.619097i | ||||
\(184\) | 4.85558 | − | 15.5058i | 0.357958 | − | 1.14310i | ||||
\(185\) | 3.25364 | − | 18.4523i | 0.239213 | − | 1.35664i | ||||
\(186\) | 3.49840 | + | 0.252563i | 0.256515 | + | 0.0185188i | ||||
\(187\) | −10.1085 | + | 21.6778i | −0.739210 | + | 1.58524i | ||||
\(188\) | −2.91103 | − | 7.29969i | −0.212309 | − | 0.532385i | ||||
\(189\) | 30.7221 | + | 30.7221i | 2.23470 | + | 2.23470i | ||||
\(190\) | −3.27702 | + | 14.4805i | −0.237740 | + | 1.05052i | ||||
\(191\) | 3.50558i | 0.253655i | 0.991925 | + | 0.126827i | \(0.0404794\pi\) | ||||
−0.991925 | + | 0.126827i | \(0.959521\pi\) | |||||||
\(192\) | −25.5719 | + | 4.61241i | −1.84549 | + | 0.332872i | ||||
\(193\) | 0.457303 | + | 1.25643i | 0.0329174 | + | 0.0904398i | 0.955063 | − | 0.296404i | \(-0.0957875\pi\) |
−0.922145 | + | 0.386844i | \(0.873565\pi\) | |||||||
\(194\) | 2.78251 | − | 2.40780i | 0.199773 | − | 0.172870i | ||||
\(195\) | −14.5405 | + | 10.1814i | −1.04127 | + | 0.729105i | ||||
\(196\) | −2.45189 | + | 2.18775i | −0.175135 | + | 0.156268i | ||||
\(197\) | −0.615389 | + | 2.29666i | −0.0438447 | + | 0.163631i | −0.984377 | − | 0.176074i | \(-0.943660\pi\) |
0.940532 | + | 0.339704i | \(0.110327\pi\) | |||||||
\(198\) | −26.0972 | + | 26.9027i | −1.85465 | + | 1.91189i | ||||
\(199\) | 0.181659 | − | 0.152430i | 0.0128774 | − | 0.0108054i | −0.636326 | − | 0.771420i | \(-0.719547\pi\) |
0.649204 | + | 0.760615i | \(0.275102\pi\) | |||||||
\(200\) | 1.66651 | − | 1.53310i | 0.117840 | − | 0.108406i | ||||
\(201\) | 34.8133 | + | 20.0995i | 2.45554 | + | 1.41771i | ||||
\(202\) | 1.96900 | + | 6.92565i | 0.138539 | + | 0.487287i | ||||
\(203\) | 3.03974 | + | 6.51874i | 0.213348 | + | 0.457526i | ||||
\(204\) | 43.9574 | − | 5.19609i | 3.07763 | − | 0.363799i | ||||
\(205\) | 0.202967 | − | 0.289867i | 0.0141758 | − | 0.0202452i | ||||
\(206\) | 6.69925 | + | 5.45001i | 0.466759 | + | 0.379720i | ||||
\(207\) | −27.8788 | + | 33.2247i | −1.93771 | + | 2.30928i | ||||
\(208\) | −1.81218 | + | 8.89366i | −0.125652 | + | 0.616665i | ||||
\(209\) | 14.0191 | + | 6.13132i | 0.969724 | + | 0.424112i | ||||
\(210\) | −27.9166 | + | 16.6884i | −1.92643 | + | 1.15161i | ||||
\(211\) | −9.89856 | + | 0.866011i | −0.681445 | + | 0.0596187i | −0.422622 | − | 0.906306i | \(-0.638890\pi\) |
−0.258823 | + | 0.965925i | \(0.583335\pi\) | |||||||
\(212\) | 0.986353 | + | 1.32130i | 0.0677430 | + | 0.0907470i | ||||
\(213\) | 18.6806 | − | 26.6786i | 1.27997 | − | 1.82799i | ||||
\(214\) | −2.76310 | + | 6.16855i | −0.188882 | + | 0.421673i | ||||
\(215\) | 11.5467 | + | 4.20267i | 0.787481 | + | 0.286620i | ||||
\(216\) | 40.8270 | + | 8.96724i | 2.77792 | + | 0.610143i | ||||
\(217\) | 1.12243 | − | 1.94411i | 0.0761957 | − | 0.131975i | ||||
\(218\) | −11.1914 | + | 5.42719i | −0.757977 | + | 0.367576i | ||||
\(219\) | −18.7605 | − | 1.64133i | −1.26772 | − | 0.110911i | ||||
\(220\) | −8.89561 | − | 14.3799i | −0.599742 | − | 0.969493i | ||||
\(221\) | 4.00166 | − | 14.9344i | 0.269181 | − | 1.00460i | ||||
\(222\) | 6.73956 | + | 35.0945i | 0.452330 | + | 2.35539i | ||||
\(223\) | −0.752295 | + | 4.26648i | −0.0503774 | + | 0.285704i | −0.999581 | − | 0.0289593i | \(-0.990781\pi\) |
0.949203 | + | 0.314664i | \(0.101892\pi\) | |||||||
\(224\) | −4.48522 | + | 16.0143i | −0.299681 | + | 1.07000i | ||||
\(225\) | −5.67995 | + | 2.06733i | −0.378664 | + | 0.137822i | ||||
\(226\) | 0.558459 | − | 3.47522i | 0.0371482 | − | 0.231168i | ||||
\(227\) | −3.49244 | + | 3.49244i | −0.231801 | + | 0.231801i | −0.813444 | − | 0.581643i | \(-0.802410\pi\) |
0.581643 | + | 0.813444i | \(0.302410\pi\) | |||||||
\(228\) | −3.99914 | − | 28.0322i | −0.264849 | − | 1.85648i | ||||
\(229\) | −15.4408 | − | 15.4408i | −1.02035 | − | 1.02035i | −0.999788 | − | 0.0205659i | \(-0.993453\pi\) |
−0.0205659 | − | 0.999788i | \(-0.506547\pi\) | |||||||
\(230\) | −11.4652 | − | 15.8556i | −0.755992 | − | 1.04549i | ||||
\(231\) | 11.4646 | + | 31.4989i | 0.754318 | + | 2.07247i | ||||
\(232\) | 5.84346 | + | 3.70662i | 0.383642 | + | 0.243352i | ||||
\(233\) | 1.46131 | + | 0.257668i | 0.0957334 | + | 0.0168804i | 0.221310 | − | 0.975204i | \(-0.428967\pi\) |
−0.125576 | + | 0.992084i | \(0.540078\pi\) | |||||||
\(234\) | 13.5933 | − | 20.0551i | 0.888621 | − | 1.31105i | ||||
\(235\) | −9.14118 | − | 2.44937i | −0.596305 | − | 0.159779i | ||||
\(236\) | −3.73706 | + | 15.8602i | −0.243262 | + | 1.03241i | ||||
\(237\) | 2.38129 | − | 27.2182i | 0.154681 | − | 1.76802i | ||||
\(238\) | 9.28355 | − | 26.7651i | 0.601763 | − | 1.73492i | ||||
\(239\) | −12.8962 | − | 7.44561i | −0.834184 | − | 0.481616i | 0.0210992 | − | 0.999777i | \(-0.493283\pi\) |
−0.855283 | + | 0.518161i | \(0.826617\pi\) | |||||||
\(240\) | −13.9704 | + | 27.9994i | −0.901783 | + | 1.80735i | ||||
\(241\) | 5.60804 | − | 15.4080i | 0.361245 | − | 0.992513i | −0.617344 | − | 0.786693i | \(-0.711791\pi\) |
0.978590 | − | 0.205820i | \(-0.0659863\pi\) | |||||||
\(242\) | −1.74769 | + | 0.666357i | −0.112346 | + | 0.0428350i | ||||
\(243\) | −31.1354 | − | 21.8013i | −1.99734 | − | 1.39855i | ||||
\(244\) | 6.16978 | + | 8.26489i | 0.394979 | + | 0.529105i | ||||
\(245\) | 0.344885 | + | 3.94205i | 0.0220339 | + | 0.251849i | ||||
\(246\) | −0.164750 | + | 0.654482i | −0.0105041 | + | 0.0417282i | ||||
\(247\) | −9.61255 | − | 2.32949i | −0.611632 | − | 0.148222i | ||||
\(248\) | −0.0984340 | − | 2.15750i | −0.00625057 | − | 0.137001i | ||||
\(249\) | 2.38718 | + | 2.00308i | 0.151281 | + | 0.126940i | ||||
\(250\) | 1.46302 | + | 14.2284i | 0.0925294 | + | 0.899881i | ||||
\(251\) | −24.1068 | − | 16.8798i | −1.52161 | − | 1.06544i | −0.973403 | − | 0.229099i | \(-0.926422\pi\) |
−0.548206 | − | 0.836344i | \(-0.684689\pi\) | |||||||
\(252\) | 27.4882 | − | 34.8579i | 1.73159 | − | 2.19584i | ||||
\(253\) | −18.2763 | + | 8.52240i | −1.14902 | + | 0.535799i | ||||
\(254\) | −18.3586 | − | 10.2305i | −1.15192 | − | 0.641920i | ||||
\(255\) | 26.6515 | − | 46.1617i | 1.66898 | − | 2.89076i | ||||
\(256\) | 4.66887 | + | 15.3036i | 0.291804 | + | 0.956478i | ||||
\(257\) | 14.4881 | + | 17.2663i | 0.903744 | + | 1.07704i | 0.996684 | + | 0.0813686i | \(0.0259291\pi\) |
−0.0929399 | + | 0.995672i | \(0.529626\pi\) | |||||||
\(258\) | −23.4330 | + | 0.356150i | −1.45887 | + | 0.0221729i | ||||
\(259\) | 22.0922 | + | 5.91960i | 1.37274 | + | 0.367826i | ||||
\(260\) | 7.27688 | + | 8.15549i | 0.451293 | + | 0.505782i | ||||
\(261\) | −10.5948 | − | 15.1309i | −0.655799 | − | 0.936578i | ||||
\(262\) | −1.59125 | + | 22.0414i | −0.0983080 | + | 1.36172i | ||||
\(263\) | −0.274673 | + | 0.0999729i | −0.0169371 | + | 0.00616459i | −0.350475 | − | 0.936572i | \(-0.613980\pi\) |
0.333538 | + | 0.942737i | \(0.391758\pi\) | |||||||
\(264\) | 25.6236 | + | 19.5820i | 1.57702 | + | 1.20519i | ||||
\(265\) | 1.98558 | 0.121973 | ||||||||
\(266\) | −17.2599 | − | 5.52546i | −1.05827 | − | 0.338788i | ||||
\(267\) | 23.6196 | − | 23.6196i | 1.44550 | − | 1.44550i | ||||
\(268\) | 9.77427 | − | 22.7409i | 0.597058 | − | 1.38912i | ||||
\(269\) | 24.8407 | + | 11.5834i | 1.51457 | + | 0.706254i | 0.989463 | − | 0.144784i | \(-0.0462487\pi\) |
0.525104 | + | 0.851038i | \(0.324026\pi\) | |||||||
\(270\) | 38.0640 | − | 32.9380i | 2.31650 | − | 2.00454i | ||||
\(271\) | −16.4138 | − | 2.89419i | −0.997065 | − | 0.175810i | −0.348778 | − | 0.937205i | \(-0.613403\pi\) |
−0.648287 | + | 0.761396i | \(0.724514\pi\) | |||||||
\(272\) | −6.35474 | − | 26.5040i | −0.385313 | − | 1.60704i | ||||
\(273\) | −10.8338 | − | 18.7648i | −0.655694 | − | 1.13569i | ||||
\(274\) | −4.49120 | + | 0.0682603i | −0.271323 | + | 0.00412375i | ||||
\(275\) | −2.79969 | − | 0.244941i | −0.168827 | − | 0.0147705i | ||||
\(276\) | 31.2055 | + | 20.4658i | 1.87835 | + | 1.23190i | ||||
\(277\) | −0.125976 | + | 0.0337552i | −0.00756916 | + | 0.00202815i | −0.262602 | − | 0.964904i | \(-0.584581\pi\) |
0.255032 | + | 0.966932i | \(0.417914\pi\) | |||||||
\(278\) | −4.37436 | + | 1.24365i | −0.262357 | + | 0.0745895i | ||||
\(279\) | −1.97176 | + | 5.41737i | −0.118046 | + | 0.324329i | ||||
\(280\) | 12.2227 | + | 15.8645i | 0.730447 | + | 0.948085i | ||||
\(281\) | 2.43756 | + | 13.8241i | 0.145412 | + | 0.824675i | 0.967035 | + | 0.254643i | \(0.0819579\pi\) |
−0.821623 | + | 0.570032i | \(0.806931\pi\) | |||||||
\(282\) | 17.9547 | − | 1.84618i | 1.06919 | − | 0.109938i | ||||
\(283\) | −1.82930 | + | 0.160043i | −0.108741 | + | 0.00951358i | −0.141396 | − | 0.989953i | \(-0.545159\pi\) |
0.0326555 | + | 0.999467i | \(0.489604\pi\) | |||||||
\(284\) | −17.6641 | − | 9.49463i | −1.04817 | − | 0.563403i | ||||
\(285\) | −29.9318 | − | 16.3345i | −1.77300 | − | 0.967570i | ||||
\(286\) | 9.66881 | − | 5.77996i | 0.571728 | − | 0.341776i | ||||
\(287\) | 0.330891 | + | 0.277651i | 0.0195319 | + | 0.0163892i | ||||
\(288\) | 4.20197 | − | 42.5018i | 0.247604 | − | 2.50444i | ||||
\(289\) | 5.11010 | + | 28.9808i | 0.300594 | + | 1.70476i | ||||
\(290\) | 7.78634 | − | 2.96876i | 0.457229 | − | 0.174332i | ||||
\(291\) | 3.57163 | + | 7.65938i | 0.209373 | + | 0.449001i | ||||
\(292\) | 0.352403 | + | 11.5906i | 0.0206229 | + | 0.678286i | ||||
\(293\) | 1.50895 | + | 5.63148i | 0.0881538 | + | 0.328994i | 0.995893 | − | 0.0905411i | \(-0.0288597\pi\) |
−0.907739 | + | 0.419535i | \(0.862193\pi\) | |||||||
\(294\) | −3.29314 | − | 6.79077i | −0.192060 | − | 0.396046i | ||||
\(295\) | 12.6129 | + | 15.0315i | 0.734351 | + | 0.875166i | ||||
\(296\) | 20.9729 | − | 6.65793i | 1.21902 | − | 0.386984i | ||||
\(297\) | −25.9390 | − | 44.9277i | −1.50514 | − | 2.60697i | ||||
\(298\) | −13.8940 | − | 9.41732i | −0.804860 | − | 0.545531i | ||||
\(299\) | 10.6778 | − | 7.47667i | 0.617512 | − | 0.432387i | ||||
\(300\) | 2.34018 | + | 4.64455i | 0.135110 | + | 0.268153i | ||||
\(301\) | −6.33896 | + | 13.5940i | −0.365372 | + | 0.783542i | ||||
\(302\) | −2.88954 | + | 17.9812i | −0.166274 | + | 1.03470i | ||||
\(303\) | −16.5367 | −0.950011 | ||||||||
\(304\) | −16.8524 | + | 4.47170i | −0.966552 | + | 0.256469i | ||||
\(305\) | 12.4201 | 0.711173 | ||||||||
\(306\) | −11.5431 | + | 71.8312i | −0.659875 | + | 4.10631i | ||||
\(307\) | −9.10542 | + | 19.5266i | −0.519673 | + | 1.11444i | 0.454934 | + | 0.890525i | \(0.349663\pi\) |
−0.974608 | + | 0.223918i | \(0.928115\pi\) | |||||||
\(308\) | 18.4326 | − | 9.28738i | 1.05030 | − | 0.529198i | ||||
\(309\) | −16.2478 | + | 11.3768i | −0.924303 | + | 0.647204i | ||||
\(310\) | −2.15288 | − | 1.45922i | −0.122276 | − | 0.0828779i | ||||
\(311\) | −16.3384 | − | 28.2990i | −0.926468 | − | 1.60469i | −0.789184 | − | 0.614157i | \(-0.789496\pi\) |
−0.137284 | − | 0.990532i | \(-0.543837\pi\) | |||||||
\(312\) | −18.5095 | − | 9.58941i | −1.04790 | − | 0.542893i | ||||
\(313\) | 8.84356 | + | 10.5393i | 0.499868 | + | 0.595719i | 0.955699 | − | 0.294347i | \(-0.0951022\pi\) |
−0.455831 | + | 0.890066i | \(0.650658\pi\) | |||||||
\(314\) | −11.9023 | − | 24.5436i | −0.671683 | − | 1.38508i | ||||
\(315\) | −13.8360 | − | 51.6366i | −0.779569 | − | 2.90939i | ||||
\(316\) | −16.8159 | + | 0.511276i | −0.945968 | + | 0.0287615i | ||||
\(317\) | 12.8090 | + | 27.4689i | 0.719422 | + | 1.54281i | 0.835454 | + | 0.549561i | \(0.185205\pi\) |
−0.116031 | + | 0.993246i | \(0.537017\pi\) | |||||||
\(318\) | −3.53850 | + | 1.34915i | −0.198429 | + | 0.0756566i | ||||
\(319\) | −1.49134 | − | 8.45780i | −0.0834989 | − | 0.473546i | ||||
\(320\) | 18.1313 | + | 6.51889i | 1.01357 | + | 0.364417i | ||||
\(321\) | −11.8920 | − | 9.97857i | −0.663746 | − | 0.556949i | ||||
\(322\) | 20.5004 | − | 12.2550i | 1.14244 | − | 0.682947i | ||||
\(323\) | 29.1170 | − | 5.85921i | 1.62011 | − | 0.326015i | ||||
\(324\) | −24.0058 | + | 44.6611i | −1.33366 | + | 2.48117i | ||||
\(325\) | 1.80973 | − | 0.158330i | 0.100386 | − | 0.00878260i | ||||
\(326\) | 18.1195 | − | 1.86312i | 1.00354 | − | 0.103188i | ||||
\(327\) | −4.96053 | − | 28.1326i | −0.274318 | − | 1.55573i | ||||
\(328\) | 0.412119 | + | 0.0534353i | 0.0227555 | + | 0.00295047i | ||||
\(329\) | 3.95100 | − | 10.8553i | 0.217825 | − | 0.598471i | ||||
\(330\) | 37.3550 | − | 10.6202i | 2.05633 | − | 0.584625i | ||||
\(331\) | 16.3772 | − | 4.38825i | 0.900170 | − | 0.241200i | 0.221081 | − | 0.975256i | \(-0.429042\pi\) |
0.679089 | + | 0.734056i | \(0.262375\pi\) | |||||||
\(332\) | 1.05232 | − | 1.60453i | 0.0577534 | − | 0.0880602i | ||||
\(333\) | −58.5129 | − | 5.11922i | −3.20649 | − | 0.280532i | ||||
\(334\) | 21.7915 | − | 0.331201i | 1.19238 | − | 0.0181225i | ||||
\(335\) | −14.9037 | − | 25.8140i | −0.814279 | − | 1.41037i | ||||
\(336\) | −32.5615 | − | 19.9670i | −1.77638 | − | 1.08929i | ||||
\(337\) | 2.11952 | + | 0.373728i | 0.115457 | + | 0.0203582i | 0.231078 | − | 0.972935i | \(-0.425775\pi\) |
−0.115621 | + | 0.993293i | \(0.536886\pi\) | |||||||
\(338\) | 8.39613 | − | 7.26546i | 0.456689 | − | 0.395189i | ||||
\(339\) | 7.32663 | + | 3.41646i | 0.397928 | + | 0.185557i | ||||
\(340\) | −30.1540 | − | 12.9605i | −1.63533 | − | 0.702881i | ||||
\(341\) | −1.89537 | + | 1.89537i | −0.102640 | + | 0.102640i | ||||
\(342\) | 46.1158 | + | 6.27738i | 2.49366 | + | 0.339442i | ||||
\(343\) | 15.7490 | 0.850366 | ||||||||
\(344\) | 1.91159 | + | 14.3034i | 0.103066 | + | 0.771185i | ||||
\(345\) | 42.2289 | − | 15.3701i | 2.27353 | − | 0.827497i | ||||
\(346\) | 0.491479 | − | 6.80775i | 0.0264221 | − | 0.365987i | ||||
\(347\) | 11.2132 | + | 16.0141i | 0.601955 | + | 0.859681i | 0.998292 | − | 0.0584245i | \(-0.0186077\pi\) |
−0.396337 | + | 0.918105i | \(0.629719\pi\) | |||||||
\(348\) | −11.8588 | + | 10.5812i | −0.635698 | + | 0.567213i | ||||
\(349\) | 30.2001 | + | 8.09209i | 1.61657 | + | 0.433160i | 0.949993 | − | 0.312272i | \(-0.101090\pi\) |
0.666582 | + | 0.745432i | \(0.267757\pi\) | |||||||
\(350\) | 3.32822 | − | 0.0505845i | 0.177901 | − | 0.00270385i | ||||
\(351\) | 21.5553 | + | 25.6886i | 1.15054 | + | 1.37116i | ||||
\(352\) | 10.1221 | − | 17.0841i | 0.539510 | − | 0.910584i | ||||
\(353\) | −2.39544 | + | 4.14902i | −0.127496 | + | 0.220830i | −0.922706 | − | 0.385505i | \(-0.874027\pi\) |
0.795210 | + | 0.606334i | \(0.207361\pi\) | |||||||
\(354\) | −32.6908 | − | 18.2174i | −1.73750 | − | 0.968241i | ||||
\(355\) | −21.8870 | + | 10.2061i | −1.16164 | + | 0.541682i | ||||
\(356\) | −16.1505 | − | 12.7359i | −0.855975 | − | 0.675002i | ||||
\(357\) | 53.2982 | + | 37.3198i | 2.82084 | + | 1.97517i | ||||
\(358\) | −2.68740 | − | 26.1359i | −0.142034 | − | 1.38133i | ||||
\(359\) | −12.7574 | − | 10.7047i | −0.673308 | − | 0.564973i | 0.240734 | − | 0.970591i | \(-0.422612\pi\) |
−0.914043 | + | 0.405618i | \(0.867056\pi\) | |||||||
\(360\) | −37.9870 | − | 34.6720i | −2.00209 | − | 1.82738i | ||||
\(361\) | −4.19497 | − | 18.5311i | −0.220788 | − | 0.975322i | ||||
\(362\) | −4.75332 | + | 18.8829i | −0.249829 | + | 0.992465i | ||||
\(363\) | −0.374408 | − | 4.27950i | −0.0196513 | − | 0.224616i | ||||
\(364\) | −10.6914 | + | 7.98119i | −0.560382 | + | 0.418328i | ||||
\(365\) | 11.4387 | + | 8.00945i | 0.598728 | + | 0.419234i | ||||
\(366\) | −22.1338 | + | 8.43913i | −1.15695 | + | 0.441120i | ||||
\(367\) | −3.53873 | + | 9.72257i | −0.184720 | + | 0.507514i | −0.997142 | − | 0.0755566i | \(-0.975927\pi\) |
0.812422 | + | 0.583071i | \(0.198149\pi\) | |||||||
\(368\) | 10.2591 | − | 20.5613i | 0.534791 | − | 1.07183i | ||||
\(369\) | −0.960669 | − | 0.554642i | −0.0500104 | − | 0.0288735i | ||||
\(370\) | 8.68343 | − | 25.0349i | 0.451430 | − | 1.30150i | ||||
\(371\) | −0.211242 | + | 2.41451i | −0.0109671 | + | 0.125355i | ||||
\(372\) | 4.82814 | + | 1.13763i | 0.250327 | + | 0.0589835i | ||||
\(373\) | −32.1010 | − | 8.60143i | −1.66213 | − | 0.445365i | −0.699155 | − | 0.714970i | \(-0.746440\pi\) |
−0.962971 | + | 0.269605i | \(0.913107\pi\) | |||||||
\(374\) | −18.9787 | + | 28.0006i | −0.981364 | + | 1.44788i | ||||
\(375\) | −32.3520 | − | 5.70452i | −1.67065 | − | 0.294580i | ||||
\(376\) | −2.42675 | − | 10.8457i | −0.125150 | − | 0.559326i | ||||
\(377\) | 1.89872 | + | 5.21669i | 0.0977891 | + | 0.268673i | ||||
\(378\) | 36.0037 | + | 49.7907i | 1.85183 | + | 2.56096i | ||||
\(379\) | 18.9067 | + | 18.9067i | 0.971174 | + | 0.971174i | 0.999596 | − | 0.0284219i | \(-0.00904819\pi\) |
−0.0284219 | + | 0.999596i | \(0.509048\pi\) | |||||||
\(380\) | −7.82485 | + | 19.4838i | −0.401407 | + | 0.999496i | ||||
\(381\) | 34.1318 | − | 34.1318i | 1.74862 | − | 1.74862i | ||||
\(382\) | −0.786589 | + | 4.89484i | −0.0402454 | + | 0.250442i | ||||
\(383\) | 22.0522 | − | 8.02636i | 1.12682 | − | 0.410128i | 0.289681 | − | 0.957123i | \(-0.406451\pi\) |
0.837136 | + | 0.546995i | \(0.184228\pi\) | |||||||
\(384\) | −36.7410 | + | 0.702425i | −1.87493 | + | 0.0358455i | ||||
\(385\) | 4.31609 | − | 24.4777i | 0.219968 | − | 1.24750i | ||||
\(386\) | 0.356612 | + | 1.85696i | 0.0181511 | + | 0.0945170i | ||||
\(387\) | 9.96961 | − | 37.2071i | 0.506784 | − | 1.89134i | ||||
\(388\) | 4.42549 | − | 2.73767i | 0.224670 | − | 0.138984i | ||||
\(389\) | 3.17272 | + | 0.277577i | 0.160863 | + | 0.0140737i | 0.167303 | − | 0.985906i | \(-0.446494\pi\) |
−0.00643947 | + | 0.999979i | \(0.502050\pi\) | |||||||
\(390\) | −22.5875 | + | 10.9536i | −1.14376 | + | 0.554659i | ||||
\(391\) | −19.5714 | + | 33.8987i | −0.989769 | + | 1.71433i | ||||
\(392\) | −3.91447 | + | 2.50459i | −0.197710 | + | 0.126501i | ||||
\(393\) | −47.6940 | − | 17.3592i | −2.40584 | − | 0.875655i | ||||
\(394\) | −1.37460 | + | 3.06875i | −0.0692513 | + | 0.154601i | ||||
\(395\) | −11.6203 | + | 16.5955i | −0.584682 | + | 0.835012i | ||||
\(396\) | −42.4760 | + | 31.7085i | −2.13450 | + | 1.59341i | ||||
\(397\) | −18.2824 | + | 1.59950i | −0.917567 | + | 0.0802767i | −0.536146 | − | 0.844125i | \(-0.680120\pi\) |
−0.381420 | + | 0.924402i | \(0.624565\pi\) | |||||||
\(398\) | 0.287852 | − | 0.172076i | 0.0144287 | − | 0.00862542i | ||||
\(399\) | 23.0474 | − | 34.6598i | 1.15381 | − | 1.73516i | ||||
\(400\) | 2.67095 | − | 1.76673i | 0.133548 | − | 0.0883363i | ||||
\(401\) | 7.62905 | − | 9.09195i | 0.380977 | − | 0.454030i | −0.541146 | − | 0.840929i | \(-0.682009\pi\) |
0.922122 | + | 0.386899i | \(0.126454\pi\) | |||||||
\(402\) | 44.0998 | + | 35.8763i | 2.19950 | + | 1.78935i | ||||
\(403\) | 0.993809 | − | 1.41931i | 0.0495052 | − | 0.0707007i | ||||
\(404\) | 1.19533 | + | 10.1121i | 0.0594696 | + | 0.503096i | ||||
\(405\) | 25.8046 | + | 55.3381i | 1.28224 | + | 2.74977i | ||||
\(406\) | 2.78170 | + | 9.78418i | 0.138053 | + | 0.485580i | ||||
\(407\) | −23.6507 | − | 13.6548i | −1.17232 | − | 0.676841i | ||||
\(408\) | 62.5436 | + | 2.60795i | 3.09637 | + | 0.129113i | ||||
\(409\) | 3.57221 | − | 2.99744i | 0.176634 | − | 0.148214i | −0.550184 | − | 0.835043i | \(-0.685443\pi\) |
0.726819 | + | 0.686830i | \(0.240998\pi\) | |||||||
\(410\) | 0.348444 | − | 0.359199i | 0.0172084 | − | 0.0177396i | ||||
\(411\) | 2.67005 | − | 9.96476i | 0.131704 | − | 0.491525i | ||||
\(412\) | 8.13127 | + | 9.11304i | 0.400599 | + | 0.448967i | ||||
\(413\) | −19.6204 | + | 13.7384i | −0.965457 | + | 0.676020i | ||||
\(414\) | −46.3822 | + | 40.1361i | −2.27956 | + | 1.97258i | ||||
\(415\) | −0.790304 | − | 2.17134i | −0.0387945 | − | 0.106587i | ||||
\(416\) | −4.52593 | + | 12.0116i | −0.221902 | + | 0.588917i | ||||
\(417\) | − | 10.4449i | − | 0.511488i | ||||||
\(418\) | 18.1992 | + | 11.7068i | 0.890150 | + | 0.572598i | ||||
\(419\) | −1.54542 | − | 1.54542i | −0.0754989 | − | 0.0754989i | 0.668349 | − | 0.743848i | \(-0.267001\pi\) |
−0.743848 | + | 0.668349i | \(0.767001\pi\) | |||||||
\(420\) | −42.7245 | + | 17.0380i | −2.08474 | + | 0.831369i | ||||
\(421\) | −15.7635 | + | 33.8049i | −0.768265 | + | 1.64755i | −0.00625844 | + | 0.999980i | \(0.501992\pi\) |
−0.762007 | + | 0.647569i | \(0.775786\pi\) | |||||||
\(422\) | −14.0157 | − | 1.01185i | −0.682272 | − | 0.0492559i | ||||
\(423\) | −5.15154 | + | 29.2158i | −0.250476 | + | 1.42052i | ||||
\(424\) | 1.08077 | + | 2.06624i | 0.0524868 | + | 0.100346i | ||||
\(425\) | −4.72427 | + | 2.72756i | −0.229161 | + | 0.132306i | ||||
\(426\) | 32.0699 | − | 33.0598i | 1.55379 | − | 1.60175i | ||||
\(427\) | −1.32135 | + | 15.1031i | −0.0639446 | + | 0.730890i | ||||
\(428\) | −5.24223 | + | 7.99315i | −0.253393 | + | 0.386363i | ||||
\(429\) | 6.69617 | + | 24.9905i | 0.323294 | + | 1.20655i | ||||
\(430\) | 15.1797 | + | 8.45907i | 0.732031 | + | 0.407933i | ||||
\(431\) | 19.8878 | + | 7.23858i | 0.957963 | + | 0.348670i | 0.773235 | − | 0.634120i | \(-0.218637\pi\) |
0.184728 | + | 0.982790i | \(0.440860\pi\) | |||||||
\(432\) | 54.9946 | + | 21.6818i | 2.64593 | + | 1.04317i | ||||
\(433\) | 23.7933 | − | 4.19539i | 1.14343 | − | 0.201618i | 0.430325 | − | 0.902674i | \(-0.358399\pi\) |
0.713106 | + | 0.701056i | \(0.247288\pi\) | |||||||
\(434\) | 2.00348 | − | 2.46271i | 0.0961699 | − | 0.118214i | ||||
\(435\) | 1.66807 | + | 19.0661i | 0.0799776 | + | 0.914148i | ||||
\(436\) | −16.8443 | + | 5.06684i | −0.806696 | + | 0.242657i | ||||
\(437\) | 21.9803 | + | 11.9952i | 1.05146 | + | 0.573806i | ||||
\(438\) | −25.8270 | − | 6.50132i | −1.23406 | − | 0.310645i | ||||
\(439\) | −14.1033 | + | 16.8076i | −0.673113 | + | 0.802185i | −0.989204 | − | 0.146544i | \(-0.953185\pi\) |
0.316091 | + | 0.948729i | \(0.397629\pi\) | |||||||
\(440\) | −9.19434 | − | 22.0747i | −0.438323 | − | 1.05237i | ||||
\(441\) | 12.2162 | − | 2.15405i | 0.581726 | − | 0.102574i | ||||
\(442\) | 8.93852 | − | 19.9550i | 0.425162 | − | 0.949162i | ||||
\(443\) | −31.7254 | + | 14.7938i | −1.50732 | + | 0.702875i | −0.988390 | − | 0.151940i | \(-0.951448\pi\) |
−0.518932 | + | 0.854816i | \(0.673670\pi\) | |||||||
\(444\) | 1.53587 | + | 50.5147i | 0.0728890 | + | 2.39732i | ||||
\(445\) | −23.9245 | + | 6.41054i | −1.13413 | + | 0.303889i | ||||
\(446\) | −2.00775 | + | 5.78848i | −0.0950698 | + | 0.274092i | ||||
\(447\) | 29.5312 | − | 24.7796i | 1.39678 | − | 1.17204i | ||||
\(448\) | −9.85604 | + | 21.3544i | −0.465654 | + | 1.00890i | ||||
\(449\) | −19.9377 | + | 11.5110i | −0.940917 | + | 0.543239i | −0.890248 | − | 0.455477i | \(-0.849469\pi\) |
−0.0506695 | + | 0.998715i | \(0.516136\pi\) | |||||||
\(450\) | −8.39479 | + | 1.61214i | −0.395734 | + | 0.0759969i | ||||
\(451\) | −0.295829 | − | 0.422487i | −0.0139300 | − | 0.0198942i | ||||
\(452\) | 1.55955 | − | 4.72714i | 0.0733552 | − | 0.222346i | ||||
\(453\) | −37.9089 | − | 17.6772i | −1.78112 | − | 0.830548i | ||||
\(454\) | −5.66013 | + | 4.09285i | −0.265643 | + | 0.192087i | ||||
\(455\) | 16.0666i | 0.753212i | ||||||||
\(456\) | 0.705925 | − | 40.0387i | 0.0330580 | − | 1.87498i | ||||
\(457\) | − | 33.5629i | − | 1.57001i | −0.619492 | − | 0.785003i | \(-0.712661\pi\) | ||
0.619492 | − | 0.785003i | \(-0.287339\pi\) | |||||||
\(458\) | −18.0953 | − | 25.0246i | −0.845538 | − | 1.16932i | ||||
\(459\) | −91.2637 | − | 42.5570i | −4.25983 | − | 1.98639i | ||||
\(460\) | −12.4511 | − | 24.7117i | −0.580537 | − | 1.15219i | ||||
\(461\) | 18.2647 | + | 26.0846i | 0.850670 | + | 1.21488i | 0.974903 | + | 0.222630i | \(0.0714640\pi\) |
−0.124233 | + | 0.992253i | \(0.539647\pi\) | |||||||
\(462\) | 8.94030 | + | 46.5543i | 0.415940 | + | 2.16590i | ||||
\(463\) | 20.1982 | − | 11.6615i | 0.938692 | − | 0.541954i | 0.0491418 | − | 0.998792i | \(-0.484351\pi\) |
0.889550 | + | 0.456838i | \(0.151018\pi\) | |||||||
\(464\) | 7.32753 | + | 6.48672i | 0.340172 | + | 0.301139i | ||||
\(465\) | 4.57587 | − | 3.83961i | 0.212201 | − | 0.178058i | ||||
\(466\) | 1.98261 | + | 0.687673i | 0.0918425 | + | 0.0318558i | ||||
\(467\) | 9.16703 | − | 2.45630i | 0.424200 | − | 0.113664i | −0.0404025 | − | 0.999183i | \(-0.512864\pi\) |
0.464602 | + | 0.885520i | \(0.346197\pi\) | |||||||
\(468\) | 23.4803 | − | 24.9529i | 1.08538 | − | 1.15345i | ||||
\(469\) | 32.9760 | − | 15.3769i | 1.52269 | − | 0.710041i | ||||
\(470\) | −12.2142 | − | 5.47118i | −0.563401 | − | 0.252367i | ||||
\(471\) | 61.6970 | − | 10.8788i | 2.84285 | − | 0.501270i | ||||
\(472\) | −8.77679 | + | 21.3070i | −0.403984 | + | 0.980735i | ||||
\(473\) | 11.5121 | − | 13.7196i | 0.529328 | − | 0.630829i | ||||
\(474\) | 9.43228 | − | 37.4705i | 0.433239 | − | 1.72108i | ||||
\(475\) | 1.81702 | + | 2.97937i | 0.0833705 | + | 0.136703i | ||||
\(476\) | 18.9682 | − | 35.2890i | 0.869407 | − | 1.61747i | ||||
\(477\) | −0.542491 | − | 6.20070i | −0.0248390 | − | 0.283911i | ||||
\(478\) | −16.3363 | − | 13.2900i | −0.747203 | − | 0.607869i | ||||
\(479\) | −22.6869 | + | 4.00032i | −1.03659 | + | 0.182779i | −0.665950 | − | 0.745997i | \(-0.731974\pi\) |
−0.370642 | + | 0.928776i | \(0.620862\pi\) | |||||||
\(480\) | −25.7894 | + | 35.9609i | −1.17712 | + | 1.64138i | ||||
\(481\) | 16.5883 | + | 6.03766i | 0.756364 | + | 0.275294i | ||||
\(482\) | 11.2878 | − | 20.2558i | 0.514144 | − | 0.922625i | ||||
\(483\) | 14.1977 | + | 52.9864i | 0.646016 | + | 2.41097i | ||||
\(484\) | −2.58982 | + | 0.538283i | −0.117719 | + | 0.0244674i | ||||
\(485\) | 0.546167 | − | 6.24271i | 0.0248001 | − | 0.283467i | ||||
\(486\) | −38.5826 | − | 37.4273i | −1.75014 | − | 1.69774i | ||||
\(487\) | 29.6633 | − | 17.1261i | 1.34417 | − | 0.776058i | 0.356755 | − | 0.934198i | \(-0.383883\pi\) |
0.987417 | + | 0.158140i | \(0.0505497\pi\) | |||||||
\(488\) | 6.76036 | + | 12.9246i | 0.306027 | + | 0.585071i | ||||
\(489\) | −7.26456 | + | 41.1994i | −0.328515 | + | 1.86310i | ||||
\(490\) | −0.402963 | + | 5.58167i | −0.0182040 | + | 0.252154i | ||||
\(491\) | 14.4070 | − | 30.8960i | 0.650180 | − | 1.39432i | −0.254016 | − | 0.967200i | \(-0.581752\pi\) |
0.904197 | − | 0.427116i | \(-0.140471\pi\) | |||||||
\(492\) | −0.376894 | + | 0.876886i | −0.0169917 | + | 0.0395331i | ||||
\(493\) | −11.7877 | − | 11.7877i | −0.530892 | − | 0.530892i | ||||
\(494\) | −12.8993 | − | 5.40955i | −0.580367 | − | 0.243387i | ||||
\(495\) | 63.8310i | 2.86899i | ||||||||
\(496\) | 0.346661 | − | 3.03461i | 0.0155656 | − | 0.136258i | ||||
\(497\) | −10.0823 | − | 27.7008i | −0.452251 | − | 1.24255i | ||||
\(498\) | 2.88376 | + | 3.33254i | 0.129225 | + | 0.149335i | ||||
\(499\) | 0.478540 | − | 0.335077i | 0.0214224 | − | 0.0150001i | −0.562816 | − | 0.826582i | \(-0.690282\pi\) |
0.584239 | + | 0.811582i | \(0.301393\pi\) | |||||||
\(500\) | −1.14978 | + | 20.1953i | −0.0514197 | + | 0.903163i | ||||
\(501\) | −12.9552 | + | 48.3494i | −0.578795 | + | 2.16009i | ||||
\(502\) | −29.8728 | − | 28.9784i | −1.33329 | − | 1.29337i | ||||
\(503\) | 4.79800 | − | 4.02600i | 0.213932 | − | 0.179510i | −0.529524 | − | 0.848295i | \(-0.677630\pi\) |
0.743456 | + | 0.668784i | \(0.233185\pi\) | |||||||
\(504\) | 46.2032 | − | 42.5043i | 2.05805 | − | 1.89329i | ||||
\(505\) | 10.6192 | + | 6.13099i | 0.472548 | + | 0.272826i | ||||
\(506\) | −27.4315 | + | 7.79894i | −1.21948 | + | 0.346705i | ||||
\(507\) | 10.7773 | + | 23.1119i | 0.478635 | + | 1.02644i | ||||
\(508\) | −23.3385 | − | 18.4042i | −1.03548 | − | 0.816554i | ||||
\(509\) | 11.6247 | − | 16.6018i | 0.515257 | − | 0.735863i | −0.474244 | − | 0.880394i | \(-0.657278\pi\) |
0.989500 | + | 0.144531i | \(0.0461673\pi\) | |||||||
\(510\) | 47.5713 | − | 58.4755i | 2.10649 | − | 2.58934i | ||||
\(511\) | −10.9566 | + | 13.0576i | −0.484691 | + | 0.577632i | ||||
\(512\) | 3.08528 | + | 22.4161i | 0.136351 | + | 0.990661i | ||||
\(513\) | −25.8128 | + | 59.0205i | −1.13966 | + | 2.60582i | ||||
\(514\) | 16.3555 | + | 27.3598i | 0.721411 | + | 1.20679i | ||||
\(515\) | 14.6516 | − | 1.28185i | 0.645625 | − | 0.0564849i | ||||
\(516\) | −32.7994 | − | 4.76065i | −1.44391 | − | 0.209576i | ||||
\(517\) | −7.91160 | + | 11.2989i | −0.347952 | + | 0.496927i | ||||
\(518\) | 29.5191 | + | 13.2226i | 1.29700 | + | 0.580969i | ||||
\(519\) | 14.7309 | + | 5.36160i | 0.646614 | + | 0.235348i | ||||
\(520\) | 8.33076 | + | 13.0203i | 0.365328 | + | 0.570979i | ||||
\(521\) | −13.4672 | + | 23.3259i | −0.590009 | + | 1.02193i | 0.404221 | + | 0.914661i | \(0.367543\pi\) |
−0.994230 | + | 0.107265i | \(0.965791\pi\) | |||||||
\(522\) | −11.3984 | − | 23.5045i | −0.498893 | − | 1.02877i | ||||
\(523\) | 27.8877 | + | 2.43986i | 1.21945 | + | 0.106688i | 0.678647 | − | 0.734464i | \(-0.262567\pi\) |
0.540799 | + | 0.841152i | \(0.318122\pi\) | |||||||
\(524\) | −7.16756 | + | 30.4193i | −0.313116 | + | 1.32887i | ||||
\(525\) | −1.97865 | + | 7.38442i | −0.0863553 | + | 0.322282i | ||||
\(526\) | −0.405958 | + | 0.0779604i | −0.0177006 | + | 0.00339923i | ||||
\(527\) | −0.903478 | + | 5.12388i | −0.0393561 | + | 0.223200i | ||||
\(528\) | 31.3843 | + | 33.0918i | 1.36583 | + | 1.44014i | ||||
\(529\) | −9.39774 | + | 3.42050i | −0.408597 | + | 0.148717i | ||||
\(530\) | 2.77247 | + | 0.445529i | 0.120428 | + | 0.0193526i | ||||
\(531\) | 43.4951 | − | 43.4951i | 1.88753 | − | 1.88753i | ||||
\(532\) | −22.8602 | − | 11.5880i | −0.991114 | − | 0.502404i | ||||
\(533\) | 0.235742 | + | 0.235742i | 0.0102111 | + | 0.0102111i | ||||
\(534\) | 38.2799 | − | 27.6802i | 1.65653 | − | 1.19784i | ||||
\(535\) | 3.93698 | + | 10.8168i | 0.170211 | + | 0.467650i | ||||
\(536\) | 18.7505 | − | 29.5600i | 0.809897 | − | 1.27680i | ||||
\(537\) | 59.4269 | + | 10.4786i | 2.56446 | + | 0.452184i | ||||
\(538\) | 32.0860 | + | 21.7478i | 1.38333 | + | 0.937613i | ||||
\(539\) | 5.57104 | + | 1.49276i | 0.239962 | + | 0.0642976i | ||||
\(540\) | 60.5394 | − | 37.4505i | 2.60520 | − | 1.61161i | ||||
\(541\) | 1.47554 | − | 16.8655i | 0.0634384 | − | 0.725104i | −0.896160 | − | 0.443731i | \(-0.853655\pi\) |
0.959598 | − | 0.281373i | \(-0.0907899\pi\) | |||||||
\(542\) | −22.2691 | − | 7.72411i | −0.956541 | − | 0.331779i | ||||
\(543\) | −38.7304 | − | 22.3610i | −1.66208 | − | 0.959603i | ||||
\(544\) | −2.92609 | − | 38.4335i | −0.125455 | − | 1.64782i | ||||
\(545\) | −7.24470 | + | 19.9047i | −0.310329 | + | 0.852622i | ||||
\(546\) | −10.9168 | − | 28.6321i | −0.467196 | − | 1.22534i | ||||
\(547\) | 9.77489 | + | 6.84445i | 0.417944 | + | 0.292647i | 0.763570 | − | 0.645725i | \(-0.223445\pi\) |
−0.345626 | + | 0.938372i | \(0.612334\pi\) | |||||||
\(548\) | −6.28638 | − | 0.912434i | −0.268541 | − | 0.0389772i | ||||
\(549\) | −3.39336 | − | 38.7862i | −0.144825 | − | 1.65536i | ||||
\(550\) | −3.85424 | − | 0.970211i | −0.164345 | − | 0.0413699i | ||||
\(551\) | −7.35731 | + | 7.71991i | −0.313432 | + | 0.328879i | ||||
\(552\) | 38.9800 | + | 35.5784i | 1.65910 | + | 1.51432i | ||||
\(553\) | −18.9442 | − | 15.8961i | −0.805591 | − | 0.675971i | ||||
\(554\) | −0.183474 | + | 0.0188656i | −0.00779507 | + | 0.000801521i | ||||
\(555\) | 49.8528 | + | 34.9073i | 2.11613 | + | 1.48173i | ||||
\(556\) | −6.38697 | + | 0.754987i | −0.270868 | + | 0.0320186i | ||||
\(557\) | −8.57131 | + | 3.99687i | −0.363178 | + | 0.169353i | −0.595638 | − | 0.803253i | \(-0.703101\pi\) |
0.232459 | + | 0.972606i | \(0.425323\pi\) | |||||||
\(558\) | −3.96873 | + | 7.12184i | −0.168010 | + | 0.301491i | ||||
\(559\) | −5.78844 | + | 10.0259i | −0.244825 | + | 0.424049i | ||||
\(560\) | 13.5069 | + | 24.8942i | 0.570769 | + | 1.05197i | ||||
\(561\) | −49.9383 | − | 59.5141i | −2.10839 | − | 2.51269i | ||||
\(562\) | 0.301685 | + | 19.8495i | 0.0127258 | + | 0.837300i | ||||
\(563\) | 17.8089 | + | 4.77189i | 0.750557 | + | 0.201111i | 0.613765 | − | 0.789488i | \(-0.289654\pi\) |
0.136792 | + | 0.990600i | \(0.456321\pi\) | |||||||
\(564\) | 25.4844 | + | 1.45090i | 1.07309 | + | 0.0610940i | ||||
\(565\) | −3.43820 | − | 4.91026i | −0.144646 | − | 0.206576i | ||||
\(566\) | −2.59016 | − | 0.186994i | −0.108873 | − | 0.00785996i | ||||
\(567\) | −70.0375 | + | 25.4916i | −2.94130 | + | 1.07055i | ||||
\(568\) | −22.5339 | − | 17.2208i | −0.945502 | − | 0.722571i | ||||
\(569\) | −27.3628 | −1.14711 | −0.573554 | − | 0.819168i | \(-0.694436\pi\) | ||||
−0.573554 | + | 0.819168i | \(0.694436\pi\) | |||||||
\(570\) | −38.1285 | − | 29.5240i | −1.59703 | − | 1.23662i | ||||
\(571\) | 17.8779 | − | 17.8779i | 0.748167 | − | 0.748167i | −0.225968 | − | 0.974135i | \(-0.572554\pi\) |
0.974135 | + | 0.225968i | \(0.0725543\pi\) | |||||||
\(572\) | 14.7975 | − | 5.90105i | 0.618713 | − | 0.246735i | ||||
\(573\) | −10.3196 | − | 4.81209i | −0.431105 | − | 0.201028i | ||||
\(574\) | 0.399723 | + | 0.461929i | 0.0166841 | + | 0.0192806i | ||||
\(575\) | −4.52927 | − | 0.798633i | −0.188884 | − | 0.0333053i | ||||
\(576\) | 15.4039 | − | 58.4024i | 0.641827 | − | 2.43343i | ||||
\(577\) | −7.25660 | − | 12.5688i | −0.302096 | − | 0.523246i | 0.674514 | − | 0.738262i | \(-0.264353\pi\) |
−0.976611 | + | 0.215016i | \(0.931020\pi\) | |||||||
\(578\) | 0.632455 | + | 41.6125i | 0.0263067 | + | 1.73085i | ||||
\(579\) | −4.32635 | − | 0.378507i | −0.179797 | − | 0.0157302i | ||||
\(580\) | 11.5382 | − | 2.39816i | 0.479097 | − | 0.0995783i | ||||
\(581\) | 2.72447 | − | 0.730020i | 0.113030 | − | 0.0302863i | ||||
\(582\) | 3.26844 | + | 11.4962i | 0.135481 | + | 0.476533i | ||||
\(583\) | 0.989816 | − | 2.71950i | 0.0409940 | − | 0.112630i | ||||
\(584\) | −2.10865 | + | 16.2630i | −0.0872567 | + | 0.672967i | ||||
\(585\) | −7.16482 | − | 40.6337i | −0.296229 | − | 1.68000i | ||||
\(586\) | 0.843343 | + | 8.20181i | 0.0348382 | + | 0.338814i | ||||
\(587\) | −18.1166 | + | 1.58500i | −0.747753 | + | 0.0654199i | −0.454661 | − | 0.890665i | \(-0.650240\pi\) |
−0.293091 | + | 0.956084i | \(0.594684\pi\) | |||||||
\(588\) | −3.07448 | − | 10.2209i | −0.126789 | − | 0.421501i | ||||
\(589\) | 3.29077 | + | 0.498995i | 0.135594 | + | 0.0205607i | ||||
\(590\) | 14.2386 | + | 23.8185i | 0.586193 | + | 0.980594i | ||||
\(591\) | −5.91607 | − | 4.96417i | −0.243354 | − | 0.204199i | ||||
\(592\) | 30.7784 | − | 4.59053i | 1.26498 | − | 0.188669i | ||||
\(593\) | 2.93743 | + | 16.6590i | 0.120626 | + | 0.684104i | 0.983810 | + | 0.179214i | \(0.0573556\pi\) |
−0.863184 | + | 0.504889i | \(0.831533\pi\) | |||||||
\(594\) | −26.1377 | − | 68.5528i | −1.07244 | − | 2.81276i | ||||
\(595\) | −20.3895 | − | 43.7255i | −0.835889 | − | 1.79257i | ||||
\(596\) | −17.2872 | − | 16.2670i | −0.708110 | − | 0.666321i | ||||
\(597\) | 0.199353 | + | 0.743997i | 0.00815899 | + | 0.0304498i | ||||
\(598\) | 16.5870 | − | 8.04376i | 0.678294 | − | 0.328934i | ||||
\(599\) | 14.1755 | + | 16.8937i | 0.579196 | + | 0.690259i | 0.973491 | − | 0.228725i | \(-0.0734555\pi\) |
−0.394295 | + | 0.918984i | \(0.629011\pi\) | |||||||
\(600\) | 2.22544 | + | 7.01028i | 0.0908532 | + | 0.286193i | ||||
\(601\) | 2.52714 | + | 4.37713i | 0.103084 | + | 0.178547i | 0.912954 | − | 0.408063i | \(-0.133796\pi\) |
−0.809870 | + | 0.586610i | \(0.800462\pi\) | |||||||
\(602\) | −11.9013 | + | 17.5589i | −0.485062 | + | 0.715647i | ||||
\(603\) | −76.5417 | + | 53.5951i | −3.11702 | + | 2.18256i | ||||
\(604\) | −8.06932 | + | 24.4588i | −0.328336 | + | 0.995214i | ||||
\(605\) | −1.34620 | + | 2.88693i | −0.0547306 | + | 0.117370i | ||||
\(606\) | −23.0902 | − | 3.71055i | −0.937977 | − | 0.150731i | ||||
\(607\) | −9.17720 | −0.372491 | −0.186246 | − | 0.982503i | \(-0.559632\pi\) | ||||
−0.186246 | + | 0.982503i | \(0.559632\pi\) | |||||||
\(608\) | −24.5344 | + | 2.46245i | −0.995001 | + | 0.0998654i | ||||
\(609\) | −23.3622 | −0.946683 | ||||||||
\(610\) | 17.3422 | + | 2.78685i | 0.702165 | + | 0.112836i | ||||
\(611\) | 3.76812 | − | 8.08076i | 0.152442 | − | 0.326912i | ||||
\(612\) | −32.2352 | + | 97.7077i | −1.30303 | + | 3.94960i | ||||
\(613\) | 35.1887 | − | 24.6394i | 1.42126 | − | 0.995175i | 0.425327 | − | 0.905040i | \(-0.360159\pi\) |
0.995930 | − | 0.0901352i | \(-0.0287299\pi\) | |||||||
\(614\) | −17.0953 | + | 25.2219i | −0.689911 | + | 1.01787i | ||||
\(615\) | 0.574685 | + | 0.995384i | 0.0231736 | + | 0.0401378i | ||||
\(616\) | 27.8214 | − | 8.83202i | 1.12096 | − | 0.355852i | ||||
\(617\) | 30.8304 | + | 36.7423i | 1.24119 | + | 1.47919i | 0.820154 | + | 0.572142i | \(0.193888\pi\) |
0.421032 | + | 0.907046i | \(0.361668\pi\) | |||||||
\(618\) | −25.2395 | + | 12.2397i | −1.01528 | + | 0.492354i | ||||
\(619\) | −5.61859 | − | 20.9689i | −0.225830 | − | 0.842810i | −0.982070 | − | 0.188516i | \(-0.939632\pi\) |
0.756240 | − | 0.654294i | \(-0.227034\pi\) | |||||||
\(620\) | −2.67865 | − | 2.52057i | −0.107577 | − | 0.101229i | ||||
\(621\) | −35.8793 | − | 76.9434i | −1.43979 | − | 3.08763i | ||||
\(622\) | −16.4636 | − | 43.1799i | −0.660129 | − | 1.73136i | ||||
\(623\) | −5.25007 | − | 29.7746i | −0.210340 | − | 1.19289i | ||||
\(624\) | −23.6932 | − | 17.5429i | −0.948485 | − | 0.702278i | ||||
\(625\) | 21.7266 | + | 18.2308i | 0.869063 | + | 0.729231i | ||||
\(626\) | 9.98342 | + | 16.7004i | 0.399018 | + | 0.667483i | ||||
\(627\) | −37.2930 | + | 32.8524i | −1.48934 | + | 1.31200i | ||||
\(628\) | −11.1120 | − | 36.9409i | −0.443416 | − | 1.47410i | ||||
\(629\) | −52.8077 | + | 4.62007i | −2.10558 | + | 0.184214i | ||||
\(630\) | −7.73285 | − | 75.2047i | −0.308084 | − | 2.99623i | ||||
\(631\) | −1.22223 | − | 6.93160i | −0.0486561 | − | 0.275943i | 0.950767 | − | 0.309907i | \(-0.100298\pi\) |
−0.999423 | + | 0.0339642i | \(0.989187\pi\) | |||||||
\(632\) | −23.5947 | − | 3.05929i | −0.938549 | − | 0.121692i | ||||
\(633\) | 11.0384 | − | 30.3277i | 0.438736 | − | 1.20542i | ||||
\(634\) | 11.7216 | + | 41.2289i | 0.465525 | + | 1.63741i | ||||
\(635\) | −34.5723 | + | 9.26363i | −1.37196 | + | 0.367616i | ||||
\(636\) | −5.24353 | + | 1.08984i | −0.207919 | + | 0.0432151i | ||||
\(637\) | −3.71399 | − | 0.324932i | −0.147153 | − | 0.0128743i | ||||
\(638\) | −0.184576 | − | 12.1443i | −0.00730745 | − | 0.480796i | ||||
\(639\) | 37.8519 | + | 65.5615i | 1.49740 | + | 2.59357i | ||||
\(640\) | 23.8539 | + | 13.1707i | 0.942910 | + | 0.520616i | ||||
\(641\) | −15.5447 | − | 2.74096i | −0.613981 | − | 0.108261i | −0.141995 | − | 0.989867i | \(-0.545352\pi\) |
−0.471986 | + | 0.881606i | \(0.656463\pi\) | |||||||
\(642\) | −14.3658 | − | 16.6014i | −0.566972 | − | 0.655206i | ||||
\(643\) | −21.0182 | − | 9.80093i | −0.828875 | − | 0.386511i | −0.0385940 | − | 0.999255i | \(-0.512288\pi\) |
−0.790281 | + | 0.612744i | \(0.790066\pi\) | |||||||
\(644\) | 31.3746 | − | 12.5118i | 1.23633 | − | 0.493034i | ||||
\(645\) | −28.2218 | + | 28.2218i | −1.11123 | + | 1.11123i | ||||
\(646\) | 41.9708 | − | 1.64787i | 1.65132 | − | 0.0648347i | ||||
\(647\) | −7.31978 | −0.287770 | −0.143885 | − | 0.989594i | \(-0.545960\pi\) | ||||
−0.143885 | + | 0.989594i | \(0.545960\pi\) | |||||||
\(648\) | −43.5405 | + | 56.9739i | −1.71043 | + | 2.23814i | ||||
\(649\) | 26.8749 | − | 9.78168i | 1.05493 | − | 0.383965i | ||||
\(650\) | 2.56245 | + | 0.184993i | 0.100507 | + | 0.00725603i | ||||
\(651\) | 4.18222 | + | 5.97283i | 0.163914 | + | 0.234094i | ||||
\(652\) | 25.7182 | + | 1.46421i | 1.00720 | + | 0.0573430i | ||||
\(653\) | −11.4446 | − | 3.06657i | −0.447861 | − | 0.120004i | 0.0278372 | − | 0.999612i | \(-0.491138\pi\) |
−0.475698 | + | 0.879608i | \(0.657805\pi\) | |||||||
\(654\) | −0.613943 | − | 40.3945i | −0.0240071 | − | 1.57955i | ||||
\(655\) | 24.1911 | + | 28.8299i | 0.945226 | + | 1.12648i | ||||
\(656\) | 0.563452 | + | 0.167084i | 0.0219991 | + | 0.00652353i | ||||
\(657\) | 21.8872 | − | 37.9097i | 0.853900 | − | 1.47900i | ||||
\(658\) | 7.95250 | − | 14.2707i | 0.310021 | − | 0.556329i | ||||
\(659\) | −3.74621 | + | 1.74689i | −0.145932 | + | 0.0680490i | −0.494212 | − | 0.869341i | \(-0.664543\pi\) |
0.348281 | + | 0.937390i | \(0.386766\pi\) | |||||||
\(660\) | 54.5418 | − | 6.44725i | 2.12304 | − | 0.250959i | ||||
\(661\) | 32.2902 | + | 22.6098i | 1.25594 | + | 0.879421i | 0.996271 | − | 0.0862756i | \(-0.0274966\pi\) |
0.259672 | + | 0.965697i | \(0.416385\pi\) | |||||||
\(662\) | 23.8521 | − | 2.45257i | 0.927037 | − | 0.0953217i | ||||
\(663\) | 38.4701 | + | 32.2802i | 1.49405 | + | 1.25366i | ||||
\(664\) | 1.82938 | − | 2.00429i | 0.0709937 | − | 0.0777814i | ||||
\(665\) | −27.6502 | + | 13.7122i | −1.07223 | + | 0.531738i | ||||
\(666\) | −80.5529 | − | 20.2772i | −3.12136 | − | 0.785726i | ||||
\(667\) | −1.22494 | − | 14.0011i | −0.0474298 | − | 0.542125i | ||||
\(668\) | 30.5017 | + | 4.42716i | 1.18015 | + | 0.171292i | ||||
\(669\) | −11.5268 | − | 8.07114i | −0.445651 | − | 0.312048i | ||||
\(670\) | −15.0179 | − | 39.3883i | −0.580191 | − | 1.52170i | ||||
\(671\) | 6.19144 | − | 17.0108i | 0.239018 | − | 0.656696i | ||||
\(672\) | −40.9854 | − | 35.1862i | −1.58105 | − | 1.35734i | ||||
\(673\) | −2.49438 | − | 1.44013i | −0.0961511 | − | 0.0555129i | 0.451153 | − | 0.892446i | \(-0.351013\pi\) |
−0.547305 | + | 0.836934i | \(0.684346\pi\) | |||||||
\(674\) | 2.87562 | + | 0.997417i | 0.110765 | + | 0.0384191i | ||||
\(675\) | 1.03120 | − | 11.7867i | 0.0396909 | − | 0.453670i | ||||
\(676\) | 13.3537 | − | 8.26081i | 0.513606 | − | 0.317724i | ||||
\(677\) | −40.8315 | − | 10.9408i | −1.56928 | − | 0.420488i | −0.633694 | − | 0.773583i | \(-0.718462\pi\) |
−0.935587 | + | 0.353096i | \(0.885129\pi\) | |||||||
\(678\) | 9.46358 | + | 6.41437i | 0.363447 | + | 0.246343i | ||||
\(679\) | 7.53315 | + | 1.32830i | 0.289096 | + | 0.0509754i | ||||
\(680\) | −39.1959 | − | 24.8627i | −1.50310 | − | 0.953443i | ||||
\(681\) | −5.48682 | − | 15.0749i | −0.210255 | − | 0.577672i | ||||
\(682\) | −3.07179 | + | 2.22122i | −0.117625 | + | 0.0850547i | ||||
\(683\) | 20.0124 | + | 20.0124i | 0.765754 | + | 0.765754i | 0.977356 | − | 0.211602i | \(-0.0678680\pi\) |
−0.211602 | + | 0.977356i | \(0.567868\pi\) | |||||||
\(684\) | 62.9829 | + | 19.1127i | 2.40821 | + | 0.730791i | ||||
\(685\) | −5.40903 | + | 5.40903i | −0.206668 | + | 0.206668i | ||||
\(686\) | 21.9903 | + | 3.53379i | 0.839594 | + | 0.134921i | ||||
\(687\) | 66.6492 | − | 24.2583i | 2.54283 | − | 0.925513i | ||||
\(688\) | −0.540266 | + | 20.4007i | −0.0205974 | + | 0.777769i | ||||
\(689\) | −0.324845 | + | 1.84229i | −0.0123756 | + | 0.0701856i | ||||
\(690\) | 62.4130 | − | 11.9858i | 2.37602 | − | 0.456292i | ||||
\(691\) | 0.951275 | − | 3.55021i | 0.0361882 | − | 0.135056i | −0.945468 | − | 0.325714i | \(-0.894395\pi\) |
0.981657 | + | 0.190658i | \(0.0610620\pi\) | |||||||
\(692\) | 2.21379 | − | 9.39538i | 0.0841556 | − | 0.357159i | ||||
\(693\) | −77.6198 | − | 6.79085i | −2.94853 | − | 0.257963i | ||||
\(694\) | 12.0637 | + | 24.8765i | 0.457931 | + | 0.944298i | ||||
\(695\) | −3.87244 | + | 6.70726i | −0.146890 | + | 0.254421i | ||||
\(696\) | −18.9327 | + | 12.1136i | −0.717640 | + | 0.459167i | ||||
\(697\) | −0.940749 | − | 0.342405i | −0.0356334 | − | 0.0129695i | ||||
\(698\) | 40.3527 | + | 18.0753i | 1.52737 | + | 0.684162i | ||||
\(699\) | −2.76444 | + | 3.94803i | −0.104561 | + | 0.149328i | ||||
\(700\) | 4.65854 | + | 0.676162i | 0.176076 | + | 0.0255565i | ||||
\(701\) | 12.9100 | − | 1.12948i | 0.487605 | − | 0.0426599i | 0.159297 | − | 0.987231i | \(-0.449077\pi\) |
0.328308 | + | 0.944571i | \(0.393522\pi\) | |||||||
\(702\) | 24.3336 | + | 40.7057i | 0.918413 | + | 1.53634i | ||||
\(703\) | 3.76688 | + | 33.7011i | 0.142071 | + | 1.27106i | ||||
\(704\) | 17.9669 | − | 21.5833i | 0.677152 | − | 0.813450i | ||||
\(705\) | 19.7584 | − | 23.5471i | 0.744144 | − | 0.886836i | ||||
\(706\) | −4.27571 | + | 5.25578i | −0.160919 | + | 0.197804i | ||||
\(707\) | −8.58516 | + | 12.2609i | −0.322878 | + | 0.461118i | ||||
\(708\) | −41.5586 | − | 32.7721i | −1.56187 | − | 1.23165i | ||||
\(709\) | −3.72655 | − | 7.99162i | −0.139954 | − | 0.300132i | 0.823821 | − | 0.566850i | \(-0.191838\pi\) |
−0.963774 | + | 0.266719i | \(0.914060\pi\) | |||||||
\(710\) | −32.8508 | + | 9.33968i | −1.23287 | + | 0.350512i | ||||
\(711\) | 55.0004 | + | 31.7545i | 2.06268 | + | 1.19089i | ||||
\(712\) | −19.6932 | − | 21.4070i | −0.738035 | − | 0.802263i | ||||
\(713\) | −3.36027 | + | 2.81960i | −0.125843 | + | 0.105595i | ||||
\(714\) | 66.0463 | + | 64.0687i | 2.47172 | + | 2.39771i | ||||
\(715\) | 4.96521 | − | 18.5304i | 0.185688 | − | 0.692998i | ||||
\(716\) | 2.11201 | − | 37.0966i | 0.0789297 | − | 1.38636i | ||||
\(717\) | 39.6205 | − | 27.7426i | 1.47965 | − | 1.03607i | ||||
\(718\) | −15.4112 | − | 17.8095i | −0.575140 | − | 0.664645i | ||||
\(719\) | 2.08172 | + | 5.71949i | 0.0776352 | + | 0.213301i | 0.972438 | − | 0.233160i | \(-0.0749065\pi\) |
−0.894803 | + | 0.446461i | \(0.852684\pi\) | |||||||
\(720\) | −45.2615 | − | 56.9361i | −1.68680 | − | 2.12188i | ||||
\(721\) | 17.9530i | 0.668603i | ||||||||
\(722\) | −1.69939 | − | 26.8163i | −0.0632447 | − | 0.997998i | ||||
\(723\) | 37.6591 | + | 37.6591i | 1.40056 | + | 1.40056i | ||||
\(724\) | −10.8740 | + | 25.2997i | −0.404131 | + | 0.940256i | ||||
\(725\) | 0.827786 | − | 1.77519i | 0.0307432 | − | 0.0659290i | ||||
\(726\) | 0.437458 | − | 6.05948i | 0.0162356 | − | 0.224888i | ||||
\(727\) | 2.34928 | − | 13.3234i | 0.0871298 | − | 0.494138i | −0.909747 | − | 0.415163i | \(-0.863724\pi\) |
0.996877 | − | 0.0789743i | \(-0.0251645\pi\) | |||||||
\(728\) | −16.7192 | + | 8.74517i | −0.619657 | + | 0.324117i | ||||
\(729\) | 41.0505 | − | 23.7005i | 1.52039 | − | 0.877796i | ||||
\(730\) | 14.1747 | + | 13.7502i | 0.524627 | + | 0.508919i | ||||
\(731\) | 3.02986 | − | 34.6315i | 0.112064 | − | 1.28089i | ||||
\(732\) | −32.7990 | + | 6.81713i | −1.21229 | + | 0.251968i | ||||
\(733\) | −1.59814 | − | 5.96435i | −0.0590288 | − | 0.220298i | 0.930110 | − | 0.367280i | \(-0.119711\pi\) |
−0.989139 | + | 0.146982i | \(0.953044\pi\) | |||||||
\(734\) | −7.12269 | + | 12.7816i | −0.262903 | + | 0.471777i | ||||
\(735\) | −12.0778 | − | 4.39598i | −0.445498 | − | 0.162148i | ||||
\(736\) | 18.9383 | − | 26.4077i | 0.698076 | − | 0.973401i | ||||
\(737\) | −42.7850 | + | 7.54415i | −1.57601 | + | 0.277892i | ||||
\(738\) | −1.21693 | − | 0.990004i | −0.0447958 | − | 0.0364425i | ||||
\(739\) | −3.27719 | − | 37.4584i | −0.120553 | − | 1.37793i | −0.779812 | − | 0.626014i | \(-0.784685\pi\) |
0.659259 | − | 0.751916i | \(-0.270870\pi\) | |||||||
\(740\) | 17.7421 | − | 33.0078i | 0.652211 | − | 1.21339i | ||||
\(741\) | 20.0525 | − | 25.0993i | 0.736648 | − | 0.922046i | ||||
\(742\) | −0.836730 | + | 3.32398i | −0.0307173 | + | 0.122027i | ||||
\(743\) | 25.2941 | − | 30.1443i | 0.927949 | − | 1.10589i | −0.0661931 | − | 0.997807i | \(-0.521085\pi\) |
0.994142 | − | 0.108080i | \(-0.0344702\pi\) | |||||||
\(744\) | 6.48627 | + | 2.67182i | 0.237798 | + | 0.0979538i | ||||
\(745\) | −28.1507 | + | 4.96373i | −1.03136 | + | 0.181857i | ||||
\(746\) | −42.8926 | − | 19.2131i | −1.57041 | − | 0.703440i | ||||
\(747\) | −6.56487 | + | 3.06125i | −0.240196 | + | 0.112005i | ||||
\(748\) | −32.7828 | + | 34.8387i | −1.19866 | + | 1.27383i | ||||
\(749\) | −13.5722 | + | 3.63667i | −0.495919 | + | 0.132881i | ||||
\(750\) | −43.8930 | − | 15.2244i | −1.60275 | − | 0.555918i | ||||
\(751\) | 29.2768 | − | 24.5662i | 1.06833 | − | 0.896433i | 0.0734270 | − | 0.997301i | \(-0.476606\pi\) |
0.994900 | + | 0.100868i | \(0.0321620\pi\) | |||||||
\(752\) | −0.954875 | − | 15.6884i | −0.0348207 | − | 0.572098i | ||||
\(753\) | 82.7811 | − | 47.7937i | 3.01671 | − | 1.74170i | ||||
\(754\) | 1.48065 | + | 7.71010i | 0.0539221 | + | 0.280785i | ||||
\(755\) | 17.7897 | + | 25.4063i | 0.647432 | + | 0.924629i | ||||
\(756\) | 39.0999 | + | 77.6013i | 1.42205 | + | 2.82233i | ||||
\(757\) | 26.4405 | + | 12.3294i | 0.960997 | + | 0.448120i | 0.838833 | − | 0.544389i | \(-0.183239\pi\) |
0.122165 | + | 0.992510i | \(0.461016\pi\) | |||||||
\(758\) | 22.1571 | + | 30.6418i | 0.804784 | + | 1.11296i | ||||
\(759\) | − | 65.4996i | − | 2.37749i | ||||||
\(760\) | −15.2976 | + | 25.4494i | −0.554904 | + | 0.923147i | ||||
\(761\) | 36.3352i | 1.31715i | 0.752515 | + | 0.658575i | \(0.228841\pi\) | ||||
−0.752515 | + | 0.658575i | \(0.771159\pi\) | |||||||
\(762\) | 55.3168 | − | 39.9996i | 2.00392 | − | 1.44903i | ||||
\(763\) | −23.4337 | − | 10.9273i | −0.848357 | − | 0.395595i | ||||
\(764\) | −2.19663 | + | 6.65816i | −0.0794712 | + | 0.240884i | ||||
\(765\) | 71.0660 | + | 101.493i | 2.56940 | + | 3.66948i | ||||
\(766\) | 32.5925 | − | 6.25908i | 1.17762 | − | 0.226150i | ||||
\(767\) | −16.0102 | + | 9.24347i | −0.578093 | + | 0.333762i | ||||
\(768\) | −51.4591 | − | 7.26323i | −1.85687 | − | 0.262089i | ||||
\(769\) | 27.5505 | − | 23.1176i | 0.993498 | − | 0.833644i | 0.00742743 | − | 0.999972i | \(-0.497636\pi\) |
0.986070 | + | 0.166329i | \(0.0531913\pi\) | |||||||
\(770\) | 11.5189 | − | 33.2098i | 0.415113 | − | 1.19680i | ||||
\(771\) | −70.7154 | + | 18.9481i | −2.54675 | + | 0.682400i | ||||
\(772\) | 0.0812676 | + | 2.67289i | 0.00292489 | + | 0.0961996i | ||||
\(773\) | −22.4368 | + | 10.4625i | −0.806997 | + | 0.376309i | −0.781922 | − | 0.623377i | \(-0.785760\pi\) |
−0.0250755 | + | 0.999686i | \(0.507983\pi\) | |||||||
\(774\) | 22.2692 | − | 49.7153i | 0.800449 | − | 1.78698i | ||||
\(775\) | −0.602037 | + | 0.106155i | −0.0216258 | + | 0.00381322i | ||||
\(776\) | 6.79360 | − | 2.82961i | 0.243876 | − | 0.101577i | ||||
\(777\) | −47.7517 | + | 56.9082i | −1.71308 | + | 2.04157i | ||||
\(778\) | 4.36779 | + | 1.09948i | 0.156593 | + | 0.0394184i | ||||
\(779\) | −0.204509 | + | 0.606905i | −0.00732731 | + | 0.0217446i | ||||
\(780\) | −33.9967 | + | 10.2263i | −1.21728 | + | 0.366162i | ||||
\(781\) | 3.06775 | + | 35.0646i | 0.109773 | + | 1.25471i | ||||
\(782\) | −34.9338 | + | 42.9412i | −1.24923 | + | 1.53558i | ||||
\(783\) | 35.6073 | − | 6.27854i | 1.27250 | − | 0.224377i | ||||
\(784\) | −6.02775 | + | 2.61882i | −0.215277 | + | 0.0935292i | ||||
\(785\) | −43.6525 | − | 15.8882i | −1.55802 | − | 0.567075i | ||||
\(786\) | −62.7000 | − | 34.9403i | −2.23644 | − | 1.24628i | ||||
\(787\) | −9.83043 | − | 36.6877i | −0.350417 | − | 1.30777i | −0.886155 | − | 0.463390i | \(-0.846633\pi\) |
0.535738 | − | 0.844385i | \(-0.320034\pi\) | |||||||
\(788\) | −2.60792 | + | 3.97646i | −0.0929034 | + | 0.141655i | ||||
\(789\) | 0.0827470 | − | 0.945802i | 0.00294587 | − | 0.0336715i | ||||
\(790\) | −19.9492 | + | 20.5650i | −0.709761 | + | 0.731668i | ||||
\(791\) | 6.33675 | − | 3.65852i | 0.225309 | − | 0.130082i | ||||
\(792\) | −66.4241 | + | 34.7438i | −2.36028 | + | 1.23457i | ||||
\(793\) | −2.03195 | + | 11.5238i | −0.0721567 | + | 0.409221i | ||||
\(794\) | −25.8866 | − | 1.86886i | −0.918681 | − | 0.0663232i | ||||
\(795\) | −2.72560 | + | 5.84507i | −0.0966670 | + | 0.207303i | ||||
\(796\) | 0.440539 | − | 0.175681i | 0.0156145 | − | 0.00622686i | ||||
\(797\) | −3.31043 | − | 3.31043i | −0.117261 | − | 0.117261i | 0.646041 | − | 0.763303i | \(-0.276423\pi\) |
−0.763303 | + | 0.646041i | \(0.776423\pi\) | |||||||
\(798\) | 39.9581 | − | 43.2241i | 1.41450 | − | 1.53012i | ||||
\(799\) | 26.7739i | 0.947193i | ||||||||
\(800\) | 4.12587 | − | 1.86757i | 0.145872 | − | 0.0660284i | ||||
\(801\) | 26.5557 | + | 72.9613i | 0.938301 | + | 2.57796i | ||||
\(802\) | 12.6925 | − | 10.9833i | 0.448188 | − | 0.387833i | ||||
\(803\) | 16.6721 | − | 11.6739i | 0.588346 | − | 0.411964i | ||||
\(804\) | 53.5266 | + | 59.9893i | 1.88774 | + | 2.11566i | ||||
\(805\) | 10.5276 | − | 39.2894i | 0.371048 | − | 1.38477i | ||||
\(806\) | 1.70612 | − | 1.75878i | 0.0600956 | − | 0.0619506i | ||||
\(807\) | −68.1975 | + | 57.2245i | −2.40067 | + | 2.01440i | ||||
\(808\) | −0.599941 | + | 14.3877i | −0.0211059 | + | 0.506158i | ||||
\(809\) | 33.6701 | + | 19.4395i | 1.18378 | + | 0.683455i | 0.956886 | − | 0.290465i | \(-0.0938099\pi\) |
0.226893 | + | 0.973920i | \(0.427143\pi\) | |||||||
\(810\) | 23.6141 | + | 83.0587i | 0.829714 | + | 2.91839i | ||||
\(811\) | 21.7197 | + | 46.5780i | 0.762680 | + | 1.63557i | 0.772005 | + | 0.635617i | \(0.219254\pi\) |
−0.00932455 | + | 0.999957i | \(0.502968\pi\) | |||||||
\(812\) | 1.68869 | + | 14.2858i | 0.0592613 | + | 0.501333i | ||||
\(813\) | 31.0509 | − | 44.3452i | 1.08900 | − | 1.55525i | ||||
\(814\) | −29.9596 | − | 24.3729i | −1.05008 | − | 0.854271i | ||||
\(815\) | 19.9397 | − | 23.7632i | 0.698456 | − | 0.832387i | ||||
\(816\) | 86.7444 | + | 17.6751i | 3.03666 | + | 0.618754i | ||||
\(817\) | −22.1945 | − | 1.40505i | −0.776488 | − | 0.0491564i | ||||
\(818\) | 5.66044 | − | 3.38378i | 0.197913 | − | 0.118311i | ||||
\(819\) | 50.1736 | − | 4.38963i | 1.75321 | − | 0.153386i | ||||
\(820\) | 0.567130 | − | 0.423365i | 0.0198051 | − | 0.0147846i | ||||
\(821\) | −1.91446 | + | 2.73414i | −0.0668152 | + | 0.0954221i | −0.851169 | − | 0.524892i | \(-0.824106\pi\) |
0.784354 | + | 0.620314i | \(0.212995\pi\) | |||||||
\(822\) | 5.96410 | − | 13.3147i | 0.208022 | − | 0.464403i | ||||
\(823\) | 37.4796 | + | 13.6414i | 1.30646 | + | 0.475511i | 0.899094 | − | 0.437756i | \(-0.144227\pi\) |
0.407362 | + | 0.913267i | \(0.366449\pi\) | |||||||
\(824\) | 9.30889 | + | 14.5490i | 0.324290 | + | 0.506840i | ||||
\(825\) | 4.56416 | − | 7.90535i | 0.158904 | − | 0.275229i | ||||
\(826\) | −30.4786 | + | 14.7804i | −1.06049 | + | 0.514276i | ||||
\(827\) | 27.8651 | + | 2.43788i | 0.968963 | + | 0.0847733i | 0.560636 | − | 0.828062i | \(-0.310557\pi\) |
0.408327 | + | 0.912836i | \(0.366112\pi\) | |||||||
\(828\) | −73.7693 | + | 45.6347i | −2.56366 | + | 1.58592i | ||||
\(829\) | −8.61213 | + | 32.1409i | −0.299112 | + | 1.11630i | 0.638785 | + | 0.769385i | \(0.279437\pi\) |
−0.937897 | + | 0.346914i | \(0.887229\pi\) | |||||||
\(830\) | −0.616290 | − | 3.20917i | −0.0213918 | − | 0.111392i | ||||
\(831\) | 0.0735596 | − | 0.417177i | 0.00255176 | − | 0.0144717i | ||||
\(832\) | −9.01474 | + | 15.7562i | −0.312530 | + | 0.546250i | ||||
\(833\) | 10.5200 | − | 3.82898i | 0.364498 | − | 0.132666i | ||||
\(834\) | 2.34364 | − | 14.5842i | 0.0811537 | − | 0.505009i | ||||
\(835\) | 26.2448 | − | 26.2448i | 0.908239 | − | 0.908239i | ||||
\(836\) | 22.7847 | + | 20.4298i | 0.788024 | + | 0.706578i | ||||
\(837\) | −7.97950 | − | 7.97950i | −0.275812 | − | 0.275812i | ||||
\(838\) | −1.81111 | − | 2.50464i | −0.0625637 | − | 0.0865214i | ||||
\(839\) | −9.01758 | − | 24.7756i | −0.311322 | − | 0.855349i | −0.992391 | − | 0.123130i | \(-0.960707\pi\) |
0.681069 | − | 0.732219i | \(-0.261515\pi\) | |||||||
\(840\) | −63.4792 | + | 14.2035i | −2.19024 | + | 0.490069i | ||||
\(841\) | −22.6647 | − | 3.99640i | −0.781542 | − | 0.137807i | ||||
\(842\) | −29.5958 | + | 43.6647i | −1.01994 | + | 1.50479i | ||||
\(843\) | −44.0406 | − | 11.8006i | −1.51684 | − | 0.406436i | ||||
\(844\) | −19.3430 | − | 4.55771i | −0.665815 | − | 0.156883i | ||||
\(845\) | 1.64804 | − | 18.8371i | 0.0566942 | − | 0.648018i | ||||
\(846\) | −13.7486 | + | 39.6381i | −0.472687 | + | 1.36279i | ||||
\(847\) | −3.36734 | − | 1.94413i | −0.115703 | − | 0.0668012i | ||||
\(848\) | 1.04545 | + | 3.12760i | 0.0359009 | + | 0.107402i | ||||
\(849\) | 2.03994 | − | 5.60470i | 0.0700107 | − | 0.192353i | ||||
\(850\) | −7.20851 | + | 2.74845i | −0.247250 | + | 0.0942709i | ||||
\(851\) | −36.6092 | − | 25.6340i | −1.25495 | − | 0.878724i | ||||
\(852\) | 52.1972 | − | 38.9654i | 1.78825 | − | 1.33493i | ||||
\(853\) | −2.47863 | − | 28.3308i | −0.0848666 | − | 0.970030i | −0.912585 | − | 0.408886i | \(-0.865917\pi\) |
0.827719 | − | 0.561143i | \(-0.189638\pi\) | |||||||
\(854\) | −5.23386 | + | 20.7919i | −0.179099 | + | 0.711486i | ||||
\(855\) | 63.8148 | − | 47.0099i | 2.18242 | − | 1.60770i | ||||
\(856\) | −9.11325 | + | 9.98457i | −0.311484 | + | 0.341265i | ||||
\(857\) | −7.07131 | − | 5.93353i | −0.241551 | − | 0.202686i | 0.513973 | − | 0.857806i | \(-0.328173\pi\) |
−0.755524 | + | 0.655121i | \(0.772618\pi\) | |||||||
\(858\) | 3.74245 | + | 36.3967i | 0.127765 | + | 1.24256i | ||||
\(859\) | −16.0096 | − | 11.2101i | −0.546241 | − | 0.382482i | 0.267635 | − | 0.963520i | \(-0.413758\pi\) |
−0.813876 | + | 0.581038i | \(0.802647\pi\) | |||||||
\(860\) | 19.2974 | + | 15.2175i | 0.658035 | + | 0.518911i | ||||
\(861\) | −1.27155 | + | 0.592932i | −0.0433342 | + | 0.0202071i | ||||
\(862\) | 26.1452 | + | 14.5697i | 0.890507 | + | 0.496246i | ||||
\(863\) | −3.48223 | + | 6.03139i | −0.118536 | + | 0.205311i | −0.919188 | − | 0.393819i | \(-0.871154\pi\) |
0.800651 | + | 0.599130i | \(0.204487\pi\) | |||||||
\(864\) | 71.9239 | + | 42.6141i | 2.44690 | + | 1.44976i | ||||
\(865\) | −7.47173 | − | 8.90446i | −0.254046 | − | 0.302761i | ||||
\(866\) | 34.1639 | − | 0.519245i | 1.16094 | − | 0.0176447i | ||||
\(867\) | −92.3270 | − | 24.7389i | −3.13559 | − | 0.840179i | ||||
\(868\) | 3.35004 | − | 2.98913i | 0.113708 | − | 0.101458i | ||||
\(869\) | 16.9369 | + | 24.1883i | 0.574543 | + | 0.820533i | ||||
\(870\) | −1.94897 | + | 26.9962i | −0.0660761 | + | 0.915258i | ||||
\(871\) | 26.3894 | − | 9.60494i | 0.894170 | − | 0.325451i | ||||
\(872\) | −24.6566 | + | 3.29526i | −0.834978 | + | 0.111592i | ||||
\(873\) | −19.6443 | −0.664860 | ||||||||
\(874\) | 27.9996 | + | 21.6808i | 0.947099 | + | 0.733364i | ||||
\(875\) | −21.0253 | + | 21.0253i | −0.710784 | + | 0.710784i | ||||
\(876\) | −34.6035 | − | 14.8729i | −1.16914 | − | 0.502509i | ||||
\(877\) | −40.3041 | − | 18.7941i | −1.36097 | − | 0.634632i | −0.401351 | − | 0.915924i | \(-0.631459\pi\) |
−0.959622 | + | 0.281292i | \(0.909237\pi\) | |||||||
\(878\) | −23.4637 | + | 20.3040i | −0.791863 | + | 0.685226i | ||||
\(879\) | −18.6490 | − | 3.28832i | −0.629015 | − | 0.110912i | ||||
\(880\) | −7.88489 | − | 32.8859i | −0.265800 | − | 1.10858i | ||||
\(881\) | 7.54238 | + | 13.0638i | 0.254109 | + | 0.440130i | 0.964653 | − | 0.263523i | \(-0.0848844\pi\) |
−0.710544 | + | 0.703653i | \(0.751551\pi\) | |||||||
\(882\) | 17.5409 | − | 0.266598i | 0.590632 | − | 0.00897682i | ||||
\(883\) | 14.6307 | + | 1.28002i | 0.492362 | + | 0.0430761i | 0.330634 | − | 0.943759i | \(-0.392738\pi\) |
0.161728 | + | 0.986835i | \(0.448293\pi\) | |||||||
\(884\) | 16.9584 | − | 25.8575i | 0.570373 | − | 0.869682i | ||||
\(885\) | −61.5625 | + | 16.4956i | −2.06940 | + | 0.554495i | ||||
\(886\) | −47.6177 | + | 13.5380i | −1.59975 | + | 0.454817i | ||||
\(887\) | 8.26135 | − | 22.6979i | 0.277389 | − | 0.762120i | −0.720267 | − | 0.693696i | \(-0.755981\pi\) |
0.997656 | − | 0.0684234i | \(-0.0217969\pi\) | |||||||
\(888\) | −9.19007 | + | 70.8783i | −0.308398 | + | 2.37852i | ||||
\(889\) | −7.58668 | − | 43.0262i | −0.254449 | − | 1.44305i | ||||
\(890\) | −34.8441 | + | 3.58282i | −1.16798 | + | 0.120096i | ||||
\(891\) | 88.6559 | − | 7.75638i | 2.97008 | − | 0.259849i | ||||
\(892\) | −4.10225 | + | 7.63195i | −0.137354 | + | 0.255537i | ||||
\(893\) | 17.1227 | − | 0.411791i | 0.572991 | − | 0.0137801i | ||||
\(894\) | 46.7945 | − | 27.9735i | 1.56504 | − | 0.935574i | ||||
\(895\) | −34.2765 | − | 28.7614i | −1.14574 | − | 0.961388i | ||||
\(896\) | −18.5535 | + | 27.6057i | −0.619830 | + | 0.922240i | ||||
\(897\) | 7.35212 | + | 41.6959i | 0.245480 | + | 1.39219i | ||||
\(898\) | −30.4218 | + | 11.5992i | −1.01519 | + | 0.387070i | ||||
\(899\) | −0.789516 | − | 1.69312i | −0.0263318 | − | 0.0564688i | ||||
\(900\) | −12.0834 | + | 0.367387i | −0.402779 | + | 0.0122462i | ||||
\(901\) | −1.45391 | − | 5.42607i | −0.0484368 | − | 0.180769i | ||||
\(902\) | −0.318267 | − | 0.656298i | −0.0105971 | − | 0.0218523i | ||||
\(903\) | −31.3158 | − | 37.3207i | −1.04212 | − | 1.24195i | ||||
\(904\) | 3.23829 | − | 6.25056i | 0.107704 | − | 0.207891i | ||||
\(905\) | 16.5807 | + | 28.7186i | 0.551161 | + | 0.954638i | ||||
\(906\) | −48.9657 | − | 33.1888i | −1.62678 | − | 1.10262i | ||||
\(907\) | 7.84536 | − | 5.49338i | 0.260501 | − | 0.182405i | −0.436029 | − | 0.899933i | \(-0.643615\pi\) |
0.696530 | + | 0.717528i | \(0.254726\pi\) | |||||||
\(908\) | −8.82160 | + | 4.44481i | −0.292755 | + | 0.147506i | ||||
\(909\) | 16.2449 | − | 34.8373i | 0.538810 | − | 1.15548i | ||||
\(910\) | −3.60505 | + | 22.4337i | −0.119506 | + | 0.743671i | ||||
\(911\) | −30.3312 | −1.00492 | −0.502458 | − | 0.864602i | \(-0.667571\pi\) | ||||
−0.502458 | + | 0.864602i | \(0.667571\pi\) | |||||||
\(912\) | 9.96964 | − | 55.7476i | 0.330128 | − | 1.84599i | ||||
\(913\) | −3.36788 | −0.111461 | ||||||||
\(914\) | 7.53091 | − | 46.8639i | 0.249100 | − | 1.55012i | ||||
\(915\) | −17.0490 | + | 36.5617i | −0.563622 | + | 1.20869i | ||||
\(916\) | −19.6514 | − | 39.0021i | −0.649301 | − | 1.28866i | ||||
\(917\) | −37.6313 | + | 26.3497i | −1.24270 | + | 0.870145i | ||||
\(918\) | −117.882 | − | 79.9002i | −3.89070 | − | 2.63710i | ||||
\(919\) | 3.90061 | + | 6.75605i | 0.128669 | + | 0.222862i | 0.923161 | − | 0.384413i | \(-0.125596\pi\) |
−0.794492 | + | 0.607275i | \(0.792263\pi\) | |||||||
\(920\) | −11.8406 | − | 37.2988i | −0.390374 | − | 1.22970i | ||||
\(921\) | −44.9826 | − | 53.6082i | −1.48223 | − | 1.76645i | ||||
\(922\) | 19.6500 | + | 40.5202i | 0.647139 | + | 1.33446i | ||||
\(923\) | −5.88876 | − | 21.9772i | −0.193831 | − | 0.723387i | ||||
\(924\) | 2.03739 | + | 67.0098i | 0.0670252 | + | 2.20446i | ||||
\(925\) | −2.63224 | − | 5.64486i | −0.0865476 | − | 0.185602i | ||||
\(926\) | 30.8194 | − | 11.7508i | 1.01279 | − | 0.386154i | ||||
\(927\) | −8.00605 | − | 45.4046i | −0.262953 | − | 1.49128i | ||||
\(928\) | 8.77592 | + | 10.7016i | 0.288084 | + | 0.351296i | ||||
\(929\) | −29.4779 | − | 24.7349i | −0.967140 | − | 0.811527i | 0.0149598 | − | 0.999888i | \(-0.495238\pi\) |
−0.982100 | + | 0.188361i | \(0.939682\pi\) | |||||||
\(930\) | 7.25082 | − | 4.33450i | 0.237764 | − | 0.142134i | ||||
\(931\) | −2.61055 | − | 6.66900i | −0.0855574 | − | 0.218568i | ||||
\(932\) | 2.61401 | + | 1.40506i | 0.0856248 | + | 0.0460242i | ||||
\(933\) | 105.733 | − | 9.25043i | 3.46154 | − | 0.302845i | ||||
\(934\) | 13.3511 | − | 1.37281i | 0.436860 | − | 0.0449198i | ||||
\(935\) | 10.0034 | + | 56.7320i | 0.327146 | + | 1.85534i | ||||
\(936\) | 38.3845 | − | 29.5731i | 1.25464 | − | 0.966629i | ||||
\(937\) | −10.0040 | + | 27.4858i | −0.326816 | + | 0.897920i | 0.662096 | + | 0.749419i | \(0.269667\pi\) |
−0.988912 | + | 0.148501i | \(0.952555\pi\) | |||||||
\(938\) | 49.4946 | − | 14.0716i | 1.61606 | − | 0.459454i | ||||
\(939\) | −43.1647 | + | 11.5660i | −1.40863 | + | 0.377441i | ||||
\(940\) | −15.8271 | − | 10.3801i | −0.516223 | − | 0.338560i | ||||
\(941\) | −36.0290 | − | 3.15213i | −1.17451 | − | 0.102757i | −0.516855 | − | 0.856073i | \(-0.672897\pi\) |
−0.657658 | + | 0.753317i | \(0.728453\pi\) | |||||||
\(942\) | 88.5885 | − | 1.34643i | 2.88637 | − | 0.0438689i | ||||
\(943\) | −0.422018 | − | 0.730957i | −0.0137428 | − | 0.0238032i | ||||
\(944\) | −17.0359 | + | 27.7816i | −0.554473 | + | 0.904215i | ||||
\(945\) | 103.051 | + | 18.1707i | 3.35226 | + | 0.591094i | ||||
\(946\) | 19.1528 | − | 16.5736i | 0.622712 | − | 0.538854i | ||||
\(947\) | 10.0838 | + | 4.70216i | 0.327680 | + | 0.152800i | 0.579495 | − | 0.814976i | \(-0.303250\pi\) |
−0.251815 | + | 0.967775i | \(0.581028\pi\) | |||||||
\(948\) | 21.5780 | − | 50.2036i | 0.700821 | − | 1.63054i | ||||
\(949\) | −9.30281 | + | 9.30281i | −0.301982 | + | 0.301982i | ||||
\(950\) | 1.86859 | + | 4.56779i | 0.0606249 | + | 0.148199i | ||||
\(951\) | −98.4443 | −3.19228 | ||||||||
\(952\) | 34.4035 | − | 45.0179i | 1.11503 | − | 1.45904i | ||||
\(953\) | 15.3023 | − | 5.56957i | 0.495689 | − | 0.180416i | −0.0820650 | − | 0.996627i | \(-0.526152\pi\) |
0.577754 | + | 0.816211i | \(0.303929\pi\) | |||||||
\(954\) | 0.633846 | − | 8.77976i | 0.0205215 | − | 0.284255i | ||||
\(955\) | 4.84270 | + | 6.91609i | 0.156706 | + | 0.223799i | ||||
\(956\) | −19.8283 | − | 22.2223i | −0.641292 | − | 0.718722i | ||||
\(957\) | 26.9448 | + | 7.21984i | 0.871002 | + | 0.233384i | ||||
\(958\) | −32.5753 | + | 0.495102i | −1.05246 | + | 0.0159960i | ||||
\(959\) | −6.00203 | − | 7.15294i | −0.193816 | − | 0.230980i | ||||
\(960\) | −44.0787 | + | 44.4255i | −1.42263 | + | 1.43383i | ||||
\(961\) | 15.2085 | − | 26.3418i | 0.490596 | − | 0.849737i | ||||
\(962\) | 21.8076 | + | 12.1525i | 0.703104 | + | 0.391813i | ||||
\(963\) | 32.7036 | − | 15.2499i | 1.05386 | − | 0.491422i | ||||
\(964\) | 20.3061 | − | 25.7504i | 0.654017 | − | 0.829363i | ||||
\(965\) | 2.63787 | + | 1.84706i | 0.0849160 | + | 0.0594589i | ||||
\(966\) | 7.93499 | + | 77.1706i | 0.255304 | + | 2.48292i | ||||
\(967\) | 0.867101 | + | 0.727584i | 0.0278841 | + | 0.0233975i | 0.656623 | − | 0.754219i | \(-0.271984\pi\) |
−0.628739 | + | 0.777616i | \(0.716429\pi\) | |||||||
\(968\) | −3.73695 | + | 0.170495i | −0.120110 | + | 0.00547991i | ||||
\(969\) | −22.7207 | + | 93.7561i | −0.729894 | + | 3.01188i | ||||
\(970\) | 2.16337 | − | 8.59415i | 0.0694615 | − | 0.275941i | ||||
\(971\) | −4.25704 | − | 48.6582i | −0.136615 | − | 1.56152i | −0.687033 | − | 0.726626i | \(-0.741087\pi\) |
0.550418 | − | 0.834889i | \(-0.314468\pi\) | |||||||
\(972\) | −45.4748 | − | 60.9170i | −1.45861 | − | 1.95391i | ||||
\(973\) | −7.74418 | − | 5.42253i | −0.248267 | − | 0.173838i | ||||
\(974\) | 45.2616 | − | 17.2573i | 1.45028 | − | 0.552959i | ||||
\(975\) | −2.01811 | + | 5.54472i | −0.0646314 | + | 0.177573i | ||||
\(976\) | 6.53943 | + | 19.5636i | 0.209322 | + | 0.626215i | ||||
\(977\) | 13.9787 | + | 8.07061i | 0.447218 | + | 0.258202i | 0.706655 | − | 0.707559i | \(-0.250203\pi\) |
−0.259436 | + | 0.965760i | \(0.583537\pi\) | |||||||
\(978\) | −19.3879 | + | 55.8966i | −0.619957 | + | 1.78738i | ||||
\(979\) | −3.14636 | + | 35.9631i | −0.100558 | + | 1.14939i | ||||
\(980\) | −1.81508 | + | 7.70327i | −0.0579808 | + | 0.246072i | ||||
\(981\) | 64.1388 | + | 17.1859i | 2.04779 | + | 0.548705i | ||||
\(982\) | 27.0490 | − | 39.9074i | 0.863170 | − | 1.27350i | ||||
\(983\) | −42.9800 | − | 7.57853i | −1.37085 | − | 0.241717i | −0.560737 | − | 0.827994i | \(-0.689482\pi\) |
−0.810111 | + | 0.586276i | \(0.800593\pi\) | |||||||
\(984\) | −0.723014 | + | 1.13983i | −0.0230488 | + | 0.0363363i | ||||
\(985\) | 1.95858 | + | 5.38116i | 0.0624056 | + | 0.171458i | ||||
\(986\) | −13.8142 | − | 19.1041i | −0.439935 | − | 0.608400i | ||||
\(987\) | 26.5317 | + | 26.5317i | 0.844514 | + | 0.844514i | ||||
\(988\) | −16.7975 | − | 10.4477i | −0.534400 | − | 0.332386i | ||||
\(989\) | 20.7245 | − | 20.7245i | 0.659002 | − | 0.659002i | ||||
\(990\) | −14.3225 | + | 89.1273i | −0.455200 | + | 2.83265i | ||||
\(991\) | −10.3978 | + | 3.78449i | −0.330297 | + | 0.120218i | −0.501845 | − | 0.864958i | \(-0.667345\pi\) |
0.171548 | + | 0.985176i | \(0.445123\pi\) | |||||||
\(992\) | 1.16495 | − | 4.15943i | 0.0369873 | − | 0.132062i | ||||
\(993\) | −9.56292 | + | 54.2340i | −0.303470 | + | 1.72106i | ||||
\(994\) | −7.86230 | − | 40.9409i | −0.249377 | − | 1.29857i | ||||
\(995\) | 0.147820 | − | 0.551673i | 0.00468622 | − | 0.0174892i | ||||
\(996\) | 3.27883 | + | 5.30029i | 0.103894 | + | 0.167946i | ||||
\(997\) | −36.8963 | − | 3.22801i | −1.16852 | − | 0.102232i | −0.513667 | − | 0.857990i | \(-0.671713\pi\) |
−0.654851 | + | 0.755758i | \(0.727269\pi\) | |||||||
\(998\) | 0.743370 | − | 0.360492i | 0.0235310 | − | 0.0114112i | ||||
\(999\) | 57.4865 | − | 99.5696i | 1.81879 | − | 3.15024i |
(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 | 304.2.bg.a.155.36 | yes | 456 | |
16.3 | odd | 4 | inner | 304.2.bg.a.3.15 | ✓ | 456 | |
19.13 | odd | 18 | inner | 304.2.bg.a.203.15 | yes | 456 | |
304.51 | even | 36 | inner | 304.2.bg.a.51.36 | yes | 456 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
304.2.bg.a.3.15 | ✓ | 456 | 16.3 | odd | 4 | inner | |
304.2.bg.a.51.36 | yes | 456 | 304.51 | even | 36 | inner | |
304.2.bg.a.155.36 | yes | 456 | 1.1 | even | 1 | trivial | |
304.2.bg.a.203.15 | yes | 456 | 19.13 | odd | 18 | inner |