Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [74,2,Mod(3,74)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(74, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("74.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 74 = 2 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 74.h (of order \(18\), degree \(6\), 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: | \(0.590892974957\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\Q(\zeta_{36})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{6} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 3.1 | ||
Root | \(-0.642788 + 0.766044i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 74.3 |
Dual form | 74.2.h.a.25.1 |
$q$-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 \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).
\(n\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.642788 | + | 0.766044i | −0.454519 | + | 0.541675i | ||||
\(3\) | 1.43969 | − | 1.20805i | 0.831207 | − | 0.697465i | −0.124361 | − | 0.992237i | \(-0.539688\pi\) |
0.955568 | + | 0.294772i | \(0.0952436\pi\) | |||||||
\(4\) | −0.173648 | − | 0.984808i | −0.0868241 | − | 0.492404i | ||||
\(5\) | 0.273629 | − | 0.751790i | 0.122371 | − | 0.336211i | −0.863349 | − | 0.504608i | \(-0.831637\pi\) |
0.985719 | + | 0.168397i | \(0.0538592\pi\) | |||||||
\(6\) | 1.87939i | 0.767256i | ||||||||
\(7\) | −0.138449 | − | 0.0503913i | −0.0523288 | − | 0.0190461i | 0.315723 | − | 0.948851i | \(-0.397753\pi\) |
−0.368052 | + | 0.929805i | \(0.619975\pi\) | |||||||
\(8\) | 0.866025 | + | 0.500000i | 0.306186 | + | 0.176777i | ||||
\(9\) | 0.0923963 | − | 0.524005i | 0.0307988 | − | 0.174668i | ||||
\(10\) | 0.400019 | + | 0.692853i | 0.126497 | + | 0.219099i | ||||
\(11\) | −2.40570 | + | 4.16679i | −0.725346 | + | 1.25634i | 0.233486 | + | 0.972360i | \(0.424987\pi\) |
−0.958832 | + | 0.283975i | \(0.908347\pi\) | |||||||
\(12\) | −1.43969 | − | 1.20805i | −0.415603 | − | 0.348733i | ||||
\(13\) | 1.91858 | − | 0.338298i | 0.532119 | − | 0.0938270i | 0.0988686 | − | 0.995100i | \(-0.468478\pi\) |
0.433251 | + | 0.901274i | \(0.357367\pi\) | |||||||
\(14\) | 0.127595 | − | 0.0736672i | 0.0341013 | − | 0.0196884i | ||||
\(15\) | −0.514255 | − | 1.41290i | −0.132780 | − | 0.364810i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −3.43779 | − | 0.606175i | −0.833786 | − | 0.147019i | −0.259572 | − | 0.965724i | \(-0.583581\pi\) |
−0.574214 | + | 0.818705i | \(0.694692\pi\) | |||||||
\(18\) | 0.342020 | + | 0.407604i | 0.0806149 | + | 0.0960731i | ||||
\(19\) | −4.33625 | − | 5.16775i | −0.994805 | − | 1.18556i | −0.982619 | − | 0.185636i | \(-0.940565\pi\) |
−0.0121861 | − | 0.999926i | \(-0.503879\pi\) | |||||||
\(20\) | −0.787884 | − | 0.138925i | −0.176176 | − | 0.0310646i | ||||
\(21\) | −0.260199 | + | 0.0947047i | −0.0567801 | + | 0.0206663i | ||||
\(22\) | −1.64560 | − | 4.52124i | −0.350842 | − | 0.963931i | ||||
\(23\) | −3.61610 | + | 2.08776i | −0.754009 | + | 0.435327i | −0.827141 | − | 0.561995i | \(-0.810034\pi\) |
0.0731316 | + | 0.997322i | \(0.476701\pi\) | |||||||
\(24\) | 1.85083 | − | 0.326352i | 0.377800 | − | 0.0666163i | ||||
\(25\) | 3.33991 | + | 2.80251i | 0.667981 | + | 0.560503i | ||||
\(26\) | −0.974090 | + | 1.68717i | −0.191035 | + | 0.330882i | ||||
\(27\) | 2.31908 | + | 4.01676i | 0.446307 | + | 0.773026i | ||||
\(28\) | −0.0255844 | + | 0.145096i | −0.00483499 | + | 0.0274206i | ||||
\(29\) | 2.63134 | + | 1.51921i | 0.488628 | + | 0.282109i | 0.724005 | − | 0.689795i | \(-0.242299\pi\) |
−0.235377 | + | 0.971904i | \(0.575633\pi\) | |||||||
\(30\) | 1.41290 | + | 0.514255i | 0.257960 | + | 0.0938896i | ||||
\(31\) | − | 8.13740i | − | 1.46152i | −0.682634 | − | 0.730760i | \(-0.739166\pi\) | ||
0.682634 | − | 0.730760i | \(-0.260834\pi\) | |||||||
\(32\) | 0.342020 | − | 0.939693i | 0.0604612 | − | 0.166116i | ||||
\(33\) | 1.57021 | + | 8.90509i | 0.273338 | + | 1.55018i | ||||
\(34\) | 2.67412 | − | 2.24386i | 0.458609 | − | 0.384818i | ||||
\(35\) | −0.0757674 | + | 0.0902961i | −0.0128070 | + | 0.0152628i | ||||
\(36\) | −0.532089 | −0.0886815 | ||||||||
\(37\) | 6.08227 | − | 0.0772535i | 0.999919 | − | 0.0127004i | ||||
\(38\) | 6.74601 | 1.09435 | ||||||||
\(39\) | 2.35349 | − | 2.80478i | 0.376860 | − | 0.449124i | ||||
\(40\) | 0.612865 | − | 0.514255i | 0.0969024 | − | 0.0813108i | ||||
\(41\) | 0.676822 | + | 3.83845i | 0.105702 | + | 0.599465i | 0.990938 | + | 0.134322i | \(0.0428858\pi\) |
−0.885236 | + | 0.465142i | \(0.846003\pi\) | |||||||
\(42\) | 0.0947047 | − | 0.260199i | 0.0146133 | − | 0.0401496i | ||||
\(43\) | 8.10852i | 1.23654i | 0.785966 | + | 0.618269i | \(0.212166\pi\) | ||||
−0.785966 | + | 0.618269i | \(0.787834\pi\) | |||||||
\(44\) | 4.52124 | + | 1.64560i | 0.681602 | + | 0.248083i | ||||
\(45\) | −0.368660 | − | 0.212846i | −0.0549565 | − | 0.0317292i | ||||
\(46\) | 0.725070 | − | 4.11208i | 0.106906 | − | 0.606293i | ||||
\(47\) | −4.16911 | − | 7.22111i | −0.608127 | − | 1.05331i | −0.991549 | − | 0.129734i | \(-0.958588\pi\) |
0.383422 | − | 0.923573i | \(-0.374746\pi\) | |||||||
\(48\) | −0.939693 | + | 1.62760i | −0.135633 | + | 0.234923i | ||||
\(49\) | −5.34568 | − | 4.48556i | −0.763669 | − | 0.640794i | ||||
\(50\) | −4.29370 | + | 0.757095i | −0.607221 | + | 0.107069i | ||||
\(51\) | −5.68164 | + | 3.28030i | −0.795589 | + | 0.459334i | ||||
\(52\) | −0.666317 | − | 1.83069i | −0.0924015 | − | 0.253871i | ||||
\(53\) | 10.2327 | − | 3.72440i | 1.40557 | − | 0.511586i | 0.475744 | − | 0.879584i | \(-0.342179\pi\) |
0.929827 | + | 0.367998i | \(0.119957\pi\) | |||||||
\(54\) | −4.56769 | − | 0.805407i | −0.621584 | − | 0.109602i | ||||
\(55\) | 2.47428 | + | 2.94874i | 0.333632 | + | 0.397607i | ||||
\(56\) | −0.0947047 | − | 0.112865i | −0.0126555 | − | 0.0150822i | ||||
\(57\) | −12.4857 | − | 2.20157i | −1.65378 | − | 0.291606i | ||||
\(58\) | −2.85517 | + | 1.03920i | −0.374902 | + | 0.136453i | ||||
\(59\) | −2.96569 | − | 8.14816i | −0.386100 | − | 1.06080i | −0.968742 | − | 0.248072i | \(-0.920203\pi\) |
0.582642 | − | 0.812729i | \(-0.302019\pi\) | |||||||
\(60\) | −1.30214 | + | 0.751790i | −0.168105 | + | 0.0970557i | ||||
\(61\) | −0.346344 | + | 0.0610698i | −0.0443448 | + | 0.00781919i | −0.195777 | − | 0.980649i | \(-0.562723\pi\) |
0.151432 | + | 0.988468i | \(0.451612\pi\) | |||||||
\(62\) | 6.23361 | + | 5.23062i | 0.791670 | + | 0.664290i | ||||
\(63\) | −0.0391975 | + | 0.0678921i | −0.00493842 | + | 0.00855360i | ||||
\(64\) | 0.500000 | + | 0.866025i | 0.0625000 | + | 0.108253i | ||||
\(65\) | 0.270651 | − | 1.53494i | 0.0335702 | − | 0.190386i | ||||
\(66\) | −7.83101 | − | 4.52124i | −0.963931 | − | 0.556526i | ||||
\(67\) | −2.25471 | − | 0.820647i | −0.275457 | − | 0.100258i | 0.200598 | − | 0.979674i | \(-0.435711\pi\) |
−0.476055 | + | 0.879416i | \(0.657934\pi\) | |||||||
\(68\) | 3.49082i | 0.423324i | ||||||||
\(69\) | −2.68397 | + | 7.37414i | −0.323112 | + | 0.887742i | ||||
\(70\) | −0.0204685 | − | 0.116082i | −0.00244645 | − | 0.0138745i | ||||
\(71\) | 5.34953 | − | 4.48879i | 0.634873 | − | 0.532721i | −0.267566 | − | 0.963539i | \(-0.586219\pi\) |
0.902439 | + | 0.430818i | \(0.141775\pi\) | |||||||
\(72\) | 0.342020 | − | 0.407604i | 0.0403075 | − | 0.0480366i | ||||
\(73\) | 1.13399 | 0.132724 | 0.0663618 | − | 0.997796i | \(-0.478861\pi\) | ||||
0.0663618 | + | 0.997796i | \(0.478861\pi\) | |||||||
\(74\) | −3.85043 | + | 4.70895i | −0.447603 | + | 0.547404i | ||||
\(75\) | 8.19401 | 0.946162 | ||||||||
\(76\) | −4.33625 | + | 5.16775i | −0.497402 | + | 0.592781i | ||||
\(77\) | 0.543037 | − | 0.455662i | 0.0618848 | − | 0.0519275i | ||||
\(78\) | 0.635792 | + | 3.60576i | 0.0719893 | + | 0.408271i | ||||
\(79\) | 0.646510 | − | 1.77627i | 0.0727380 | − | 0.199846i | −0.897996 | − | 0.440004i | \(-0.854977\pi\) |
0.970734 | + | 0.240158i | \(0.0771992\pi\) | |||||||
\(80\) | 0.800038i | 0.0894470i | ||||||||
\(81\) | 9.69119 | + | 3.52730i | 1.07680 | + | 0.391923i | ||||
\(82\) | −3.37547 | − | 1.94883i | −0.372759 | − | 0.215212i | ||||
\(83\) | −1.71997 | + | 9.75442i | −0.188791 | + | 1.07069i | 0.732196 | + | 0.681094i | \(0.238495\pi\) |
−0.920987 | + | 0.389593i | \(0.872616\pi\) | |||||||
\(84\) | 0.138449 | + | 0.239801i | 0.0151060 | + | 0.0261644i | ||||
\(85\) | −1.39639 | + | 2.41863i | −0.151460 | + | 0.262337i | ||||
\(86\) | −6.21149 | − | 5.21206i | −0.669802 | − | 0.562031i | ||||
\(87\) | 5.62359 | − | 0.991591i | 0.602912 | − | 0.106310i | ||||
\(88\) | −4.16679 | + | 2.40570i | −0.444182 | + | 0.256448i | ||||
\(89\) | −3.45924 | − | 9.50418i | −0.366679 | − | 1.00744i | −0.976616 | − | 0.214992i | \(-0.931028\pi\) |
0.609937 | − | 0.792450i | \(-0.291195\pi\) | |||||||
\(90\) | 0.400019 | − | 0.145595i | 0.0421657 | − | 0.0153471i | ||||
\(91\) | −0.282673 | − | 0.0498429i | −0.0296322 | − | 0.00522496i | ||||
\(92\) | 2.68397 | + | 3.19863i | 0.279823 | + | 0.333480i | ||||
\(93\) | −9.83035 | − | 11.7154i | −1.01936 | − | 1.21483i | ||||
\(94\) | 8.21154 | + | 1.44792i | 0.846956 | + | 0.149341i | ||||
\(95\) | −5.07158 | + | 1.84591i | −0.520333 | + | 0.189386i | ||||
\(96\) | −0.642788 | − | 1.76604i | −0.0656042 | − | 0.180246i | ||||
\(97\) | 5.08812 | − | 2.93763i | 0.516620 | − | 0.298271i | −0.218930 | − | 0.975740i | \(-0.570257\pi\) |
0.735551 | + | 0.677470i | \(0.236923\pi\) | |||||||
\(98\) | 6.87228 | − | 1.21177i | 0.694205 | − | 0.122407i | ||||
\(99\) | 1.96114 | + | 1.64560i | 0.197102 | + | 0.165389i | ||||
\(100\) | 2.17997 | − | 3.77582i | 0.217997 | − | 0.377582i | ||||
\(101\) | −8.50866 | − | 14.7374i | −0.846643 | − | 1.46643i | −0.884187 | − | 0.467134i | \(-0.845287\pi\) |
0.0375439 | − | 0.999295i | \(-0.488047\pi\) | |||||||
\(102\) | 1.13924 | − | 6.46093i | 0.112801 | − | 0.639727i | ||||
\(103\) | 11.0391 | + | 6.37342i | 1.08771 | + | 0.627992i | 0.932967 | − | 0.359962i | \(-0.117210\pi\) |
0.154747 | + | 0.987954i | \(0.450544\pi\) | |||||||
\(104\) | 1.83069 | + | 0.666317i | 0.179514 | + | 0.0653377i | ||||
\(105\) | 0.221529i | 0.0216190i | ||||||||
\(106\) | −3.72440 | + | 10.2327i | −0.361746 | + | 0.993889i | ||||
\(107\) | 2.47252 | + | 14.0223i | 0.239027 | + | 1.35559i | 0.833964 | + | 0.551819i | \(0.186066\pi\) |
−0.594937 | + | 0.803773i | \(0.702823\pi\) | |||||||
\(108\) | 3.55303 | − | 2.98135i | 0.341891 | − | 0.286880i | ||||
\(109\) | −12.7198 | + | 15.1589i | −1.21834 | + | 1.45196i | −0.364674 | + | 0.931135i | \(0.618819\pi\) |
−0.853664 | + | 0.520823i | \(0.825625\pi\) | |||||||
\(110\) | −3.84930 | −0.367017 | ||||||||
\(111\) | 8.66328 | − | 7.45888i | 0.822282 | − | 0.707966i | ||||
\(112\) | 0.147334 | 0.0139218 | ||||||||
\(113\) | 5.46470 | − | 6.51257i | 0.514075 | − | 0.612651i | −0.445094 | − | 0.895484i | \(-0.646830\pi\) |
0.959169 | + | 0.282833i | \(0.0912741\pi\) | |||||||
\(114\) | 9.71218 | − | 8.14949i | 0.909629 | − | 0.763270i | ||||
\(115\) | 0.580084 | + | 3.28982i | 0.0540931 | + | 0.306777i | ||||
\(116\) | 1.03920 | − | 2.85517i | 0.0964871 | − | 0.265096i | ||||
\(117\) | − | 1.03660i | − | 0.0958342i | ||||||
\(118\) | 8.14816 | + | 2.96569i | 0.750099 | + | 0.273014i | ||||
\(119\) | 0.445413 | + | 0.257159i | 0.0408309 | + | 0.0235737i | ||||
\(120\) | 0.261094 | − | 1.48074i | 0.0238345 | − | 0.135172i | ||||
\(121\) | −6.07478 | − | 10.5218i | −0.552252 | − | 0.956529i | ||||
\(122\) | 0.175844 | − | 0.304570i | 0.0159201 | − | 0.0275745i | ||||
\(123\) | 5.61144 | + | 4.70855i | 0.505966 | + | 0.424556i | ||||
\(124\) | −8.01378 | + | 1.41305i | −0.719659 | + | 0.126895i | ||||
\(125\) | 6.48506 | − | 3.74415i | 0.580042 | − | 0.334887i | ||||
\(126\) | −0.0268127 | − | 0.0736672i | −0.00238866 | − | 0.00656280i | ||||
\(127\) | −5.19901 | + | 1.89229i | −0.461338 | + | 0.167913i | −0.562224 | − | 0.826985i | \(-0.690054\pi\) |
0.100887 | + | 0.994898i | \(0.467832\pi\) | |||||||
\(128\) | −0.984808 | − | 0.173648i | −0.0870455 | − | 0.0153485i | ||||
\(129\) | 9.79547 | + | 11.6738i | 0.862443 | + | 1.02782i | ||||
\(130\) | 1.00186 | + | 1.19397i | 0.0878690 | + | 0.104718i | ||||
\(131\) | 0.810446 | + | 0.142903i | 0.0708090 | + | 0.0124855i | 0.208940 | − | 0.977928i | \(-0.432999\pi\) |
−0.138131 | + | 0.990414i | \(0.544110\pi\) | |||||||
\(132\) | 8.49714 | − | 3.09271i | 0.739581 | − | 0.269186i | ||||
\(133\) | 0.339941 | + | 0.933979i | 0.0294766 | + | 0.0809863i | ||||
\(134\) | 2.07795 | − | 1.19971i | 0.179508 | − | 0.103639i | ||||
\(135\) | 3.65433 | − | 0.644357i | 0.314514 | − | 0.0554574i | ||||
\(136\) | −2.67412 | − | 2.24386i | −0.229304 | − | 0.192409i | ||||
\(137\) | −3.37116 | + | 5.83902i | −0.288018 | + | 0.498861i | −0.973336 | − | 0.229382i | \(-0.926329\pi\) |
0.685319 | + | 0.728243i | \(0.259663\pi\) | |||||||
\(138\) | −3.92370 | − | 6.79605i | −0.334007 | − | 0.578518i | ||||
\(139\) | −2.08444 | + | 11.8214i | −0.176800 | + | 1.00268i | 0.759246 | + | 0.650804i | \(0.225568\pi\) |
−0.936046 | + | 0.351878i | \(0.885543\pi\) | |||||||
\(140\) | 0.102081 | + | 0.0589366i | 0.00862743 | + | 0.00498105i | ||||
\(141\) | −14.7257 | − | 5.35970i | −1.24012 | − | 0.451368i | ||||
\(142\) | 6.98332i | 0.586027i | ||||||||
\(143\) | −3.20592 | + | 8.80818i | −0.268092 | + | 0.736577i | ||||
\(144\) | 0.0923963 | + | 0.524005i | 0.00769969 | + | 0.0436671i | ||||
\(145\) | 1.86213 | − | 1.56252i | 0.154642 | − | 0.129760i | ||||
\(146\) | −0.728915 | + | 0.868687i | −0.0603254 | + | 0.0718930i | ||||
\(147\) | −13.1149 | −1.08170 | ||||||||
\(148\) | −1.13226 | − | 5.97645i | −0.0930708 | − | 0.491261i | ||||
\(149\) | −9.21354 | −0.754803 | −0.377401 | − | 0.926050i | \(-0.623182\pi\) | ||||
−0.377401 | + | 0.926050i | \(0.623182\pi\) | |||||||
\(150\) | −5.26700 | + | 6.27697i | −0.430049 | + | 0.512513i | ||||
\(151\) | 9.02729 | − | 7.57480i | 0.734631 | − | 0.616428i | −0.196759 | − | 0.980452i | \(-0.563042\pi\) |
0.931390 | + | 0.364023i | \(0.118597\pi\) | |||||||
\(152\) | −1.17143 | − | 6.64352i | −0.0950157 | − | 0.538861i | ||||
\(153\) | −0.635278 | + | 1.74541i | −0.0513591 | + | 0.141108i | ||||
\(154\) | 0.708885i | 0.0571235i | ||||||||
\(155\) | −6.11762 | − | 2.22663i | −0.491379 | − | 0.178847i | ||||
\(156\) | −3.17085 | − | 1.83069i | −0.253871 | − | 0.146573i | ||||
\(157\) | −3.01657 | + | 17.1078i | −0.240749 | + | 1.36535i | 0.589414 | + | 0.807831i | \(0.299359\pi\) |
−0.830162 | + | 0.557522i | \(0.811752\pi\) | |||||||
\(158\) | 0.945134 | + | 1.63702i | 0.0751908 | + | 0.130234i | ||||
\(159\) | 10.2327 | − | 17.7236i | 0.811507 | − | 1.40557i | ||||
\(160\) | −0.612865 | − | 0.514255i | −0.0484512 | − | 0.0406554i | ||||
\(161\) | 0.605851 | − | 0.106828i | 0.0477477 | − | 0.00841921i | ||||
\(162\) | −8.93145 | + | 5.15657i | −0.701721 | + | 0.405139i | ||||
\(163\) | 0.773358 | + | 2.12478i | 0.0605741 | + | 0.166426i | 0.966288 | − | 0.257464i | \(-0.0828867\pi\) |
−0.905714 | + | 0.423889i | \(0.860665\pi\) | |||||||
\(164\) | 3.66260 | − | 1.33308i | 0.286001 | − | 0.104096i | ||||
\(165\) | 7.12442 | + | 1.25623i | 0.554635 | + | 0.0977971i | ||||
\(166\) | −6.36675 | − | 7.58759i | −0.494155 | − | 0.588912i | ||||
\(167\) | −10.2563 | − | 12.2230i | −0.793658 | − | 0.945845i | 0.205805 | − | 0.978593i | \(-0.434019\pi\) |
−0.999464 | + | 0.0327478i | \(0.989574\pi\) | |||||||
\(168\) | −0.272691 | − | 0.0480829i | −0.0210386 | − | 0.00370967i | ||||
\(169\) | −8.64949 | + | 3.14816i | −0.665345 | + | 0.242166i | ||||
\(170\) | −0.955190 | − | 2.62436i | −0.0732598 | − | 0.201280i | ||||
\(171\) | −3.10858 | + | 1.79474i | −0.237719 | + | 0.137247i | ||||
\(172\) | 7.98534 | − | 1.40803i | 0.608876 | − | 0.107361i | ||||
\(173\) | −2.35572 | − | 1.97668i | −0.179102 | − | 0.150284i | 0.548829 | − | 0.835934i | \(-0.315074\pi\) |
−0.727931 | + | 0.685650i | \(0.759518\pi\) | |||||||
\(174\) | −2.85517 | + | 4.94530i | −0.216450 | + | 0.374902i | ||||
\(175\) | −0.321185 | − | 0.556308i | −0.0242793 | − | 0.0420529i | ||||
\(176\) | 0.835490 | − | 4.73830i | 0.0629775 | − | 0.357163i | ||||
\(177\) | −14.1130 | − | 8.14816i | −1.06080 | − | 0.612454i | ||||
\(178\) | 9.50418 | + | 3.45924i | 0.712368 | + | 0.259281i | ||||
\(179\) | 10.4466i | 0.780819i | 0.920641 | + | 0.390410i | \(0.127667\pi\) | ||||
−0.920641 | + | 0.390410i | \(0.872333\pi\) | |||||||
\(180\) | −0.145595 | + | 0.400019i | −0.0108520 | + | 0.0298157i | ||||
\(181\) | 1.56392 | + | 8.86942i | 0.116245 | + | 0.659259i | 0.986126 | + | 0.165997i | \(0.0530843\pi\) |
−0.869881 | + | 0.493262i | \(0.835805\pi\) | |||||||
\(182\) | 0.219881 | − | 0.184502i | 0.0162986 | − | 0.0136762i | ||||
\(183\) | −0.424854 | + | 0.506321i | −0.0314061 | + | 0.0374284i | ||||
\(184\) | −4.17551 | −0.307823 | ||||||||
\(185\) | 1.60621 | − | 4.59373i | 0.118091 | − | 0.337738i | ||||
\(186\) | 15.2933 | 1.12136 | ||||||||
\(187\) | 10.7961 | − | 12.8663i | 0.789488 | − | 0.940875i | ||||
\(188\) | −6.38745 | + | 5.35970i | −0.465852 | + | 0.390897i | ||||
\(189\) | −0.118664 | − | 0.672978i | −0.00863155 | − | 0.0489520i | ||||
\(190\) | 1.84591 | − | 5.07158i | 0.133916 | − | 0.367931i | ||||
\(191\) | 1.00551i | 0.0727558i | 0.999338 | + | 0.0363779i | \(0.0115820\pi\) | ||||
−0.999338 | + | 0.0363779i | \(0.988418\pi\) | |||||||
\(192\) | 1.76604 | + | 0.642788i | 0.127453 | + | 0.0463892i | ||||
\(193\) | −9.52217 | − | 5.49763i | −0.685421 | − | 0.395728i | 0.116473 | − | 0.993194i | \(-0.462841\pi\) |
−0.801894 | + | 0.597466i | \(0.796174\pi\) | |||||||
\(194\) | −1.02023 | + | 5.78600i | −0.0732481 | + | 0.415410i | ||||
\(195\) | −1.46462 | − | 2.53680i | −0.104884 | − | 0.181664i | ||||
\(196\) | −3.48915 | + | 6.04338i | −0.249225 | + | 0.431670i | ||||
\(197\) | 19.8444 | + | 16.6514i | 1.41386 | + | 1.18637i | 0.954537 | + | 0.298094i | \(0.0963509\pi\) |
0.459319 | + | 0.888271i | \(0.348094\pi\) | |||||||
\(198\) | −2.52120 | + | 0.444555i | −0.179174 | + | 0.0315932i | ||||
\(199\) | −13.4873 | + | 7.78692i | −0.956092 | + | 0.552000i | −0.894968 | − | 0.446130i | \(-0.852802\pi\) |
−0.0611237 | + | 0.998130i | \(0.519468\pi\) | |||||||
\(200\) | 1.49119 | + | 4.09700i | 0.105443 | + | 0.289702i | ||||
\(201\) | −4.23747 | + | 1.54231i | −0.298888 | + | 0.108786i | ||||
\(202\) | 16.7588 | + | 2.95503i | 1.17914 | + | 0.207915i | ||||
\(203\) | −0.287752 | − | 0.342929i | −0.0201962 | − | 0.0240689i | ||||
\(204\) | 4.21707 | + | 5.02571i | 0.295254 | + | 0.351870i | ||||
\(205\) | 3.07090 | + | 0.541483i | 0.214481 | + | 0.0378188i | ||||
\(206\) | −11.9781 | + | 4.35968i | −0.834555 | + | 0.303753i | ||||
\(207\) | 0.759881 | + | 2.08776i | 0.0528154 | + | 0.145109i | ||||
\(208\) | −1.68717 | + | 0.974090i | −0.116984 | + | 0.0675410i | ||||
\(209\) | 31.9646 | − | 5.63623i | 2.21104 | − | 0.389866i | ||||
\(210\) | −0.169701 | − | 0.142396i | −0.0117105 | − | 0.00982627i | ||||
\(211\) | 11.5871 | − | 20.0694i | 0.797688 | − | 1.38164i | −0.123430 | − | 0.992353i | \(-0.539390\pi\) |
0.921118 | − | 0.389283i | \(-0.127277\pi\) | |||||||
\(212\) | −5.44471 | − | 9.43052i | −0.373944 | − | 0.647691i | ||||
\(213\) | 2.27902 | − | 12.9250i | 0.156156 | − | 0.885603i | ||||
\(214\) | −12.3310 | − | 7.11933i | −0.842933 | − | 0.486667i | ||||
\(215\) | 6.09591 | + | 2.21873i | 0.415737 | + | 0.151316i | ||||
\(216\) | 4.63816i | 0.315587i | ||||||||
\(217\) | −0.410055 | + | 1.12662i | −0.0278363 | + | 0.0764797i | ||||
\(218\) | −3.43624 | − | 19.4879i | −0.232732 | − | 1.31989i | ||||
\(219\) | 1.63260 | − | 1.36991i | 0.110321 | − | 0.0925701i | ||||
\(220\) | 2.47428 | − | 2.94874i | 0.166816 | − | 0.198804i | ||||
\(221\) | −6.80075 | −0.457468 | ||||||||
\(222\) | 0.145189 | + | 11.4309i | 0.00974445 | + | 0.767194i | ||||
\(223\) | 9.91195 | 0.663754 | 0.331877 | − | 0.943323i | \(-0.392318\pi\) | ||||
0.331877 | + | 0.943323i | \(0.392318\pi\) | |||||||
\(224\) | −0.0947047 | + | 0.112865i | −0.00632773 | + | 0.00754109i | ||||
\(225\) | 1.77713 | − | 1.49119i | 0.118475 | − | 0.0994125i | ||||
\(226\) | 1.47628 | + | 8.37240i | 0.0982007 | + | 0.556924i | ||||
\(227\) | −0.684171 | + | 1.87974i | −0.0454100 | + | 0.124763i | −0.960325 | − | 0.278884i | \(-0.910035\pi\) |
0.914915 | + | 0.403647i | \(0.132258\pi\) | |||||||
\(228\) | 12.6784i | 0.839645i | ||||||||
\(229\) | 8.40320 | + | 3.05851i | 0.555299 | + | 0.202112i | 0.604399 | − | 0.796682i | \(-0.293413\pi\) |
−0.0491004 | + | 0.998794i | \(0.515635\pi\) | |||||||
\(230\) | −2.89302 | − | 1.67028i | −0.190760 | − | 0.110135i | ||||
\(231\) | 0.231346 | − | 1.31203i | 0.0152214 | − | 0.0863250i | ||||
\(232\) | 1.51921 | + | 2.63134i | 0.0997407 | + | 0.172756i | ||||
\(233\) | 10.8675 | − | 18.8230i | 0.711952 | − | 1.23314i | −0.252171 | − | 0.967683i | \(-0.581145\pi\) |
0.964123 | − | 0.265455i | \(-0.0855221\pi\) | |||||||
\(234\) | 0.794085 | + | 0.666317i | 0.0519110 | + | 0.0435585i | ||||
\(235\) | −6.56955 | + | 1.15839i | −0.428550 | + | 0.0755649i | ||||
\(236\) | −7.50939 | + | 4.33555i | −0.488820 | + | 0.282220i | ||||
\(237\) | −1.21504 | − | 3.33830i | −0.0789254 | − | 0.216846i | ||||
\(238\) | −0.483301 | + | 0.175907i | −0.0313278 | + | 0.0114024i | ||||
\(239\) | −7.79702 | − | 1.37482i | −0.504347 | − | 0.0889300i | −0.0843148 | − | 0.996439i | \(-0.526870\pi\) |
−0.420032 | + | 0.907509i | \(0.637981\pi\) | |||||||
\(240\) | 0.966482 | + | 1.15181i | 0.0623862 | + | 0.0743489i | ||||
\(241\) | 19.1413 | + | 22.8117i | 1.23300 | + | 1.46943i | 0.833334 | + | 0.552769i | \(0.186429\pi\) |
0.399665 | + | 0.916661i | \(0.369127\pi\) | |||||||
\(242\) | 11.9650 | + | 2.10975i | 0.769137 | + | 0.135620i | ||||
\(243\) | 5.13816 | − | 1.87014i | 0.329613 | − | 0.119969i | ||||
\(244\) | 0.120284 | + | 0.330478i | 0.00770040 | + | 0.0211567i | ||||
\(245\) | −4.83493 | + | 2.79145i | −0.308893 | + | 0.178339i | ||||
\(246\) | −7.21392 | + | 1.27201i | −0.459943 | + | 0.0811003i | ||||
\(247\) | −10.0677 | − | 8.44780i | −0.640592 | − | 0.537521i | ||||
\(248\) | 4.06870 | − | 7.04720i | 0.258363 | − | 0.447498i | ||||
\(249\) | 9.30756 | + | 16.1212i | 0.589843 | + | 1.02164i | ||||
\(250\) | −1.30033 | + | 7.37454i | −0.0822402 | + | 0.466407i | ||||
\(251\) | 19.7765 | + | 11.4180i | 1.24828 | + | 0.720695i | 0.970766 | − | 0.240026i | \(-0.0771560\pi\) |
0.277514 | + | 0.960721i | \(0.410489\pi\) | |||||||
\(252\) | 0.0736672 | + | 0.0268127i | 0.00464060 | + | 0.00168904i | ||||
\(253\) | − | 20.0901i | − | 1.26305i | ||||||
\(254\) | 1.89229 | − | 5.19901i | 0.118733 | − | 0.326215i | ||||
\(255\) | 0.911432 | + | 5.16899i | 0.0570761 | + | 0.323695i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | −10.5496 | + | 12.5726i | −0.658068 | + | 0.784255i | −0.987107 | − | 0.160062i | \(-0.948831\pi\) |
0.329039 | + | 0.944316i | \(0.393275\pi\) | |||||||
\(258\) | −15.2390 | −0.948741 | ||||||||
\(259\) | −0.845978 | − | 0.295798i | −0.0525665 | − | 0.0183800i | ||||
\(260\) | −1.55862 | −0.0966614 | ||||||||
\(261\) | 1.03920 | − | 1.23847i | 0.0643247 | − | 0.0766592i | ||||
\(262\) | −0.630415 | + | 0.528981i | −0.0389472 | + | 0.0326806i | ||||
\(263\) | 0.270840 | + | 1.53601i | 0.0167007 | + | 0.0947145i | 0.992019 | − | 0.126090i | \(-0.0402428\pi\) |
−0.975318 | + | 0.220805i | \(0.929132\pi\) | |||||||
\(264\) | −3.09271 | + | 8.49714i | −0.190343 | + | 0.522963i | ||||
\(265\) | − | 8.71195i | − | 0.535171i | ||||||
\(266\) | −0.933979 | − | 0.339941i | −0.0572659 | − | 0.0208431i | ||||
\(267\) | −16.4617 | − | 9.50418i | −1.00744 | − | 0.581646i | ||||
\(268\) | −0.416654 | + | 2.36296i | −0.0254512 | + | 0.144341i | ||||
\(269\) | −1.64927 | − | 2.85662i | −0.100558 | − | 0.174171i | 0.811357 | − | 0.584551i | \(-0.198729\pi\) |
−0.911915 | + | 0.410380i | \(0.865396\pi\) | |||||||
\(270\) | −1.85535 | + | 3.21356i | −0.112913 | + | 0.195571i | ||||
\(271\) | 2.76033 | + | 2.31620i | 0.167678 | + | 0.140699i | 0.722766 | − | 0.691093i | \(-0.242871\pi\) |
−0.555087 | + | 0.831792i | \(0.687315\pi\) | |||||||
\(272\) | 3.43779 | − | 0.606175i | 0.208447 | − | 0.0367547i | ||||
\(273\) | −0.467175 | + | 0.269724i | −0.0282747 | + | 0.0163244i | ||||
\(274\) | −2.30601 | − | 6.33571i | −0.139311 | − | 0.382754i | ||||
\(275\) | −19.7123 | + | 7.17469i | −1.18870 | + | 0.432650i | ||||
\(276\) | 7.72818 | + | 1.36269i | 0.465182 | + | 0.0820241i | ||||
\(277\) | −10.0841 | − | 12.0177i | −0.605894 | − | 0.722076i | 0.372683 | − | 0.927959i | \(-0.378438\pi\) |
−0.978577 | + | 0.205883i | \(0.933993\pi\) | |||||||
\(278\) | −7.71590 | − | 9.19545i | −0.462769 | − | 0.551506i | ||||
\(279\) | −4.26404 | − | 0.751866i | −0.255282 | − | 0.0450130i | ||||
\(280\) | −0.110765 | + | 0.0403150i | −0.00661945 | + | 0.00240928i | ||||
\(281\) | −1.74041 | − | 4.78173i | −0.103824 | − | 0.285254i | 0.876894 | − | 0.480684i | \(-0.159612\pi\) |
−0.980718 | + | 0.195431i | \(0.937390\pi\) | |||||||
\(282\) | 13.5712 | − | 7.83536i | 0.808156 | − | 0.466589i | ||||
\(283\) | −9.02521 | + | 1.59139i | −0.536493 | + | 0.0945982i | −0.435329 | − | 0.900272i | \(-0.643368\pi\) |
−0.101164 | + | 0.994870i | \(0.532257\pi\) | |||||||
\(284\) | −5.34953 | − | 4.48879i | −0.317436 | − | 0.266361i | ||||
\(285\) | −5.07158 | + | 8.78424i | −0.300415 | + | 0.520333i | ||||
\(286\) | −4.68673 | − | 8.11766i | −0.277132 | − | 0.480007i | ||||
\(287\) | 0.0997192 | − | 0.565536i | 0.00588624 | − | 0.0333825i | ||||
\(288\) | −0.460802 | − | 0.266044i | −0.0271530 | − | 0.0156768i | ||||
\(289\) | −4.52384 | − | 1.64654i | −0.266108 | − | 0.0968554i | ||||
\(290\) | 2.43084i | 0.142744i | ||||||||
\(291\) | 3.77654 | − | 10.3760i | 0.221385 | − | 0.608250i | ||||
\(292\) | −0.196915 | − | 1.11676i | −0.0115236 | − | 0.0653536i | ||||
\(293\) | −19.3966 | + | 16.2757i | −1.13316 | + | 0.950838i | −0.999194 | − | 0.0401477i | \(-0.987217\pi\) |
−0.133970 | + | 0.990985i | \(0.542773\pi\) | |||||||
\(294\) | 8.43010 | − | 10.0466i | 0.491653 | − | 0.585929i | ||||
\(295\) | −6.93721 | −0.403900 | ||||||||
\(296\) | 5.30603 | + | 2.97423i | 0.308407 | + | 0.172874i | ||||
\(297\) | −22.3160 | −1.29491 | ||||||||
\(298\) | 5.92235 | − | 7.05798i | 0.343073 | − | 0.408858i | ||||
\(299\) | −6.23150 | + | 5.22885i | −0.360377 | + | 0.302392i | ||||
\(300\) | −1.42287 | − | 8.06952i | −0.0821497 | − | 0.465894i | ||||
\(301\) | 0.408599 | − | 1.12262i | 0.0235513 | − | 0.0647066i | ||||
\(302\) | 11.7843i | 0.678110i | ||||||||
\(303\) | −30.0533 | − | 10.9385i | −1.72652 | − | 0.628401i | ||||
\(304\) | 5.84222 | + | 3.37301i | 0.335074 | + | 0.193455i | ||||
\(305\) | −0.0488582 | + | 0.277089i | −0.00279761 | + | 0.0158660i | ||||
\(306\) | −0.928714 | − | 1.60858i | −0.0530910 | − | 0.0919563i | ||||
\(307\) | 4.35284 | − | 7.53934i | 0.248430 | − | 0.430293i | −0.714661 | − | 0.699471i | \(-0.753419\pi\) |
0.963090 | + | 0.269178i | \(0.0867521\pi\) | |||||||
\(308\) | −0.543037 | − | 0.455662i | −0.0309424 | − | 0.0259638i | ||||
\(309\) | 23.5923 | − | 4.15996i | 1.34212 | − | 0.236652i | ||||
\(310\) | 5.63803 | − | 3.25512i | 0.320218 | − | 0.184878i | ||||
\(311\) | 1.98686 | + | 5.45885i | 0.112664 | + | 0.309543i | 0.983191 | − | 0.182578i | \(-0.0584441\pi\) |
−0.870527 | + | 0.492121i | \(0.836222\pi\) | |||||||
\(312\) | 3.44057 | − | 1.25227i | 0.194784 | − | 0.0708956i | ||||
\(313\) | −7.74595 | − | 1.36582i | −0.437827 | − | 0.0772007i | −0.0496099 | − | 0.998769i | \(-0.515798\pi\) |
−0.388217 | + | 0.921568i | \(0.626909\pi\) | |||||||
\(314\) | −11.1663 | − | 13.3075i | −0.630153 | − | 0.750987i | ||||
\(315\) | 0.0403150 | + | 0.0480455i | 0.00227149 | + | 0.00270706i | ||||
\(316\) | −1.86155 | − | 0.328242i | −0.104720 | − | 0.0184650i | ||||
\(317\) | 5.26133 | − | 1.91497i | 0.295506 | − | 0.107555i | −0.190013 | − | 0.981782i | \(-0.560853\pi\) |
0.485519 | + | 0.874226i | \(0.338631\pi\) | |||||||
\(318\) | 6.99959 | + | 19.2312i | 0.392517 | + | 1.07843i | ||||
\(319\) | −12.6604 | + | 7.30950i | −0.708848 | + | 0.409253i | ||||
\(320\) | 0.787884 | − | 0.138925i | 0.0440440 | − | 0.00776615i | ||||
\(321\) | 20.4993 | + | 17.2010i | 1.14416 | + | 0.960064i | ||||
\(322\) | −0.307598 | + | 0.532776i | −0.0171418 | + | 0.0296905i | ||||
\(323\) | 11.7746 | + | 20.3941i | 0.655154 | + | 1.13476i | ||||
\(324\) | 1.79086 | − | 10.1565i | 0.0994922 | − | 0.564248i | ||||
\(325\) | 7.35597 | + | 4.24697i | 0.408036 | + | 0.235580i | ||||
\(326\) | −2.12478 | − | 0.773358i | −0.117681 | − | 0.0428323i | ||||
\(327\) | 37.1903i | 2.05663i | ||||||||
\(328\) | −1.33308 | + | 3.66260i | −0.0736070 | + | 0.202234i | ||||
\(329\) | 0.213328 | + | 1.20984i | 0.0117612 | + | 0.0667008i | ||||
\(330\) | −5.54181 | + | 4.65013i | −0.305067 | + | 0.255981i | ||||
\(331\) | −11.6926 | + | 13.9348i | −0.642686 | + | 0.765923i | −0.984792 | − | 0.173738i | \(-0.944415\pi\) |
0.342106 | + | 0.939661i | \(0.388860\pi\) | |||||||
\(332\) | 9.90490 | 0.543602 | ||||||||
\(333\) | 0.521498 | − | 3.19428i | 0.0285779 | − | 0.175045i | ||||
\(334\) | 15.9560 | 0.873074 | ||||||||
\(335\) | −1.23391 | + | 1.47052i | −0.0674156 | + | 0.0803428i | ||||
\(336\) | 0.212116 | − | 0.177987i | 0.0115719 | − | 0.00970997i | ||||
\(337\) | −5.73735 | − | 32.5381i | −0.312533 | − | 1.77246i | −0.585731 | − | 0.810505i | \(-0.699193\pi\) |
0.273198 | − | 0.961958i | \(-0.411919\pi\) | |||||||
\(338\) | 3.14816 | − | 8.64949i | 0.171237 | − | 0.470470i | ||||
\(339\) | − | 15.9777i | − | 0.867790i | ||||||
\(340\) | 2.62436 | + | 0.955190i | 0.142326 | + | 0.0518025i | ||||
\(341\) | 33.9069 | + | 19.5761i | 1.83616 | + | 1.06011i | ||||
\(342\) | 0.623306 | − | 3.53495i | 0.0337045 | − | 0.191148i | ||||
\(343\) | 1.02974 | + | 1.78357i | 0.0556008 | + | 0.0963035i | ||||
\(344\) | −4.05426 | + | 7.02219i | −0.218591 | + | 0.378611i | ||||
\(345\) | 4.80939 | + | 4.03556i | 0.258929 | + | 0.217267i | ||||
\(346\) | 3.02845 | − | 0.533998i | 0.162811 | − | 0.0287079i | ||||
\(347\) | 27.9743 | − | 16.1510i | 1.50174 | − | 0.867029i | 0.501740 | − | 0.865018i | \(-0.332693\pi\) |
0.999998 | − | 0.00201032i | \(-0.000639905\pi\) | |||||||
\(348\) | −1.95305 | − | 5.36597i | −0.104695 | − | 0.287646i | ||||
\(349\) | −2.14851 | + | 0.781994i | −0.115007 | + | 0.0418592i | −0.398883 | − | 0.917002i | \(-0.630602\pi\) |
0.283876 | + | 0.958861i | \(0.408380\pi\) | |||||||
\(350\) | 0.632610 | + | 0.111546i | 0.0338144 | + | 0.00596240i | ||||
\(351\) | 5.80820 | + | 6.92195i | 0.310019 | + | 0.369466i | ||||
\(352\) | 3.09271 | + | 3.68574i | 0.164842 | + | 0.196451i | ||||
\(353\) | 6.32439 | + | 1.11516i | 0.336613 | + | 0.0593540i | 0.339400 | − | 0.940642i | \(-0.389776\pi\) |
−0.00278690 | + | 0.999996i | \(0.500887\pi\) | |||||||
\(354\) | 15.3135 | − | 5.57367i | 0.813905 | − | 0.296237i | ||||
\(355\) | −1.91084 | − | 5.24999i | −0.101417 | − | 0.278640i | ||||
\(356\) | −8.75910 | + | 5.05707i | −0.464231 | + | 0.268024i | ||||
\(357\) | 0.951917 | − | 0.167849i | 0.0503808 | − | 0.00888349i | ||||
\(358\) | −8.00260 | − | 6.71498i | −0.422950 | − | 0.354898i | ||||
\(359\) | 3.66122 | − | 6.34142i | 0.193232 | − | 0.334687i | −0.753088 | − | 0.657920i | \(-0.771436\pi\) |
0.946319 | + | 0.323233i | \(0.104770\pi\) | |||||||
\(360\) | −0.212846 | − | 0.368660i | −0.0112180 | − | 0.0194301i | ||||
\(361\) | −4.60318 | + | 26.1060i | −0.242273 | + | 1.37400i | ||||
\(362\) | −7.79964 | − | 4.50312i | −0.409940 | − | 0.236679i | ||||
\(363\) | −21.4566 | − | 7.80958i | −1.12618 | − | 0.409897i | ||||
\(364\) | 0.287034i | 0.0150447i | ||||||||
\(365\) | 0.310293 | − | 0.852522i | 0.0162415 | − | 0.0446231i | ||||
\(366\) | −0.114774 | − | 0.650914i | −0.00599932 | − | 0.0340238i | ||||
\(367\) | 24.1722 | − | 20.2829i | 1.26178 | − | 1.05876i | 0.266288 | − | 0.963893i | \(-0.414203\pi\) |
0.995490 | − | 0.0948646i | \(-0.0302418\pi\) | |||||||
\(368\) | 2.68397 | − | 3.19863i | 0.139912 | − | 0.166740i | ||||
\(369\) | 2.07390 | 0.107963 | ||||||||
\(370\) | 2.48655 | + | 4.18322i | 0.129270 | + | 0.217475i | ||||
\(371\) | −1.60439 | −0.0832956 | ||||||||
\(372\) | −9.83035 | + | 11.7154i | −0.509680 | + | 0.607413i | ||||
\(373\) | −6.41137 | + | 5.37977i | −0.331968 | + | 0.278554i | −0.793501 | − | 0.608569i | \(-0.791744\pi\) |
0.461533 | + | 0.887123i | \(0.347300\pi\) | |||||||
\(374\) | 2.91655 | + | 16.5406i | 0.150811 | + | 0.855292i | ||||
\(375\) | 4.81339 | − | 13.2247i | 0.248562 | − | 0.682920i | ||||
\(376\) | − | 8.33822i | − | 0.430011i | ||||||
\(377\) | 5.56239 | + | 2.02454i | 0.286478 | + | 0.104269i | ||||
\(378\) | 0.591807 | + | 0.341680i | 0.0304393 | + | 0.0175741i | ||||
\(379\) | 4.89452 | − | 27.7582i | 0.251415 | − | 1.42584i | −0.553696 | − | 0.832719i | \(-0.686783\pi\) |
0.805111 | − | 0.593124i | \(-0.202106\pi\) | |||||||
\(380\) | 2.69853 | + | 4.67400i | 0.138432 | + | 0.239771i | ||||
\(381\) | −5.19901 | + | 9.00496i | −0.266354 | + | 0.461338i | ||||
\(382\) | −0.770262 | − | 0.646327i | −0.0394100 | − | 0.0330689i | ||||
\(383\) | −8.95650 | + | 1.57927i | −0.457656 | + | 0.0806970i | −0.397723 | − | 0.917505i | \(-0.630200\pi\) |
−0.0599323 | + | 0.998202i | \(0.519088\pi\) | |||||||
\(384\) | −1.62760 | + | 0.939693i | −0.0830579 | + | 0.0479535i | ||||
\(385\) | −0.193971 | − | 0.532932i | −0.00988570 | − | 0.0271607i | ||||
\(386\) | 10.3322 | − | 3.76060i | 0.525893 | − | 0.191409i | ||||
\(387\) | 4.24891 | + | 0.749197i | 0.215984 | + | 0.0380838i | ||||
\(388\) | −3.77654 | − | 4.50071i | −0.191725 | − | 0.228489i | ||||
\(389\) | −1.28903 | − | 1.53620i | −0.0653563 | − | 0.0778886i | 0.732376 | − | 0.680901i | \(-0.238411\pi\) |
−0.797732 | + | 0.603012i | \(0.793967\pi\) | |||||||
\(390\) | 2.88474 | + | 0.508658i | 0.146075 | + | 0.0257569i | ||||
\(391\) | 13.6969 | − | 4.98528i | 0.692684 | − | 0.252116i | ||||
\(392\) | −2.38672 | − | 6.55745i | −0.120547 | − | 0.331201i | ||||
\(393\) | 1.33943 | − | 0.773318i | 0.0675651 | − | 0.0390088i | ||||
\(394\) | −25.5115 | + | 4.49836i | −1.28525 | + | 0.226624i | ||||
\(395\) | −1.15848 | − | 0.972079i | −0.0582894 | − | 0.0489106i | ||||
\(396\) | 1.28005 | − | 2.21710i | 0.0643247 | − | 0.111414i | ||||
\(397\) | −9.53782 | − | 16.5200i | −0.478690 | − | 0.829115i | 0.521012 | − | 0.853550i | \(-0.325555\pi\) |
−0.999701 | + | 0.0244346i | \(0.992221\pi\) | |||||||
\(398\) | 2.70437 | − | 15.3372i | 0.135558 | − | 0.768786i | ||||
\(399\) | 1.61770 | + | 0.933979i | 0.0809863 | + | 0.0467574i | ||||
\(400\) | −4.09700 | − | 1.49119i | −0.204850 | − | 0.0745593i | ||||
\(401\) | − | 24.7444i | − | 1.23568i | −0.786305 | − | 0.617839i | \(-0.788008\pi\) | ||
0.786305 | − | 0.617839i | \(-0.211992\pi\) | |||||||
\(402\) | 1.54231 | − | 4.23747i | 0.0769236 | − | 0.211346i | ||||
\(403\) | −2.75287 | − | 15.6123i | −0.137130 | − | 0.777703i | ||||
\(404\) | −13.0360 | + | 10.9385i | −0.648566 | + | 0.544212i | ||||
\(405\) | 5.30358 | − | 6.32056i | 0.263537 | − | 0.314071i | ||||
\(406\) | 0.447662 | 0.0222171 | ||||||||
\(407\) | −14.3102 | + | 25.5294i | −0.709331 | + | 1.26545i | ||||
\(408\) | −6.56060 | −0.324798 | ||||||||
\(409\) | −15.8423 | + | 18.8801i | −0.783350 | + | 0.933560i | −0.999080 | − | 0.0428927i | \(-0.986343\pi\) |
0.215729 | + | 0.976453i | \(0.430787\pi\) | |||||||
\(410\) | −2.38874 | + | 2.00439i | −0.117971 | + | 0.0989898i | ||||
\(411\) | 2.20037 | + | 12.4789i | 0.108536 | + | 0.615539i | ||||
\(412\) | 4.35968 | − | 11.9781i | 0.214786 | − | 0.590120i | ||||
\(413\) | 1.27755i | 0.0628642i | ||||||||
\(414\) | −2.08776 | − | 0.759881i | −0.102608 | − | 0.0373461i | ||||
\(415\) | 6.86264 | + | 3.96215i | 0.336874 | + | 0.194494i | ||||
\(416\) | 0.338298 | − | 1.91858i | 0.0165864 | − | 0.0940663i | ||||
\(417\) | 11.2799 | + | 19.5373i | 0.552379 | + | 0.956748i | ||||
\(418\) | −16.2289 | + | 28.1092i | −0.793780 | + | 1.37487i | ||||
\(419\) | −14.0011 | − | 11.7483i | −0.683997 | − | 0.573942i | 0.233174 | − | 0.972435i | \(-0.425089\pi\) |
−0.917171 | + | 0.398493i | \(0.869533\pi\) | |||||||
\(420\) | 0.218164 | − | 0.0384681i | 0.0106453 | − | 0.00187705i | ||||
\(421\) | 32.5605 | − | 18.7988i | 1.58690 | − | 0.916198i | 0.593087 | − | 0.805138i | \(-0.297909\pi\) |
0.993814 | − | 0.111060i | \(-0.0354245\pi\) | |||||||
\(422\) | 7.92603 | + | 21.7766i | 0.385833 | + | 1.06007i | ||||
\(423\) | −4.16911 | + | 1.51743i | −0.202709 | + | 0.0737801i | ||||
\(424\) | 10.7240 | + | 1.89093i | 0.520803 | + | 0.0918316i | ||||
\(425\) | −9.78308 | − | 11.6590i | −0.474549 | − | 0.565545i | ||||
\(426\) | 8.43617 | + | 10.0538i | 0.408734 | + | 0.487110i | ||||
\(427\) | 0.0510284 | + | 0.00899769i | 0.00246944 | + | 0.000435429i | ||||
\(428\) | 13.3800 | − | 4.86991i | 0.646745 | − | 0.235396i | ||||
\(429\) | 6.02515 | + | 16.5540i | 0.290897 | + | 0.799233i | ||||
\(430\) | −5.61802 | + | 3.24356i | −0.270925 | + | 0.156419i | ||||
\(431\) | −36.3170 | + | 6.40367i | −1.74933 | + | 0.308454i | −0.954463 | − | 0.298330i | \(-0.903570\pi\) |
−0.794867 | + | 0.606784i | \(0.792459\pi\) | |||||||
\(432\) | −3.55303 | − | 2.98135i | −0.170945 | − | 0.143440i | ||||
\(433\) | −5.44689 | + | 9.43429i | −0.261761 | + | 0.453383i | −0.966710 | − | 0.255875i | \(-0.917637\pi\) |
0.704949 | + | 0.709258i | \(0.250970\pi\) | |||||||
\(434\) | −0.599460 | − | 1.03829i | −0.0287750 | − | 0.0498398i | ||||
\(435\) | 0.793310 | − | 4.49909i | 0.0380363 | − | 0.215715i | ||||
\(436\) | 17.1374 | + | 9.89427i | 0.820731 | + | 0.473849i | ||||
\(437\) | 26.4693 | + | 9.63404i | 1.26620 | + | 0.460859i | ||||
\(438\) | 2.13120i | 0.101833i | ||||||||
\(439\) | 6.39195 | − | 17.5617i | 0.305071 | − | 0.838176i | −0.688528 | − | 0.725210i | \(-0.741743\pi\) |
0.993599 | − | 0.112966i | \(-0.0360351\pi\) | |||||||
\(440\) | 0.668424 | + | 3.79082i | 0.0318659 | + | 0.180720i | ||||
\(441\) | −2.84438 | + | 2.38672i | −0.135447 | + | 0.113653i | ||||
\(442\) | 4.37144 | − | 5.20968i | 0.207928 | − | 0.247799i | ||||
\(443\) | 18.1659 | 0.863090 | 0.431545 | − | 0.902092i | \(-0.357969\pi\) | ||||
0.431545 | + | 0.902092i | \(0.357969\pi\) | |||||||
\(444\) | −8.84993 | − | 7.23644i | −0.419999 | − | 0.343426i | ||||
\(445\) | −8.09170 | −0.383583 | ||||||||
\(446\) | −6.37128 | + | 7.59300i | −0.301689 | + | 0.359539i | ||||
\(447\) | −13.2647 | + | 11.1304i | −0.627397 | + | 0.526449i | ||||
\(448\) | −0.0255844 | − | 0.145096i | −0.00120875 | − | 0.00685515i | ||||
\(449\) | −5.32504 | + | 14.6304i | −0.251304 | + | 0.690453i | 0.748328 | + | 0.663329i | \(0.230857\pi\) |
−0.999632 | + | 0.0271236i | \(0.991365\pi\) | |||||||
\(450\) | 2.31988i | 0.109360i | ||||||||
\(451\) | −17.6222 | − | 6.41397i | −0.829799 | − | 0.302022i | ||||
\(452\) | −7.36257 | − | 4.25078i | −0.346306 | − | 0.199940i | ||||
\(453\) | 3.84583 | − | 21.8108i | 0.180693 | − | 1.02476i | ||||
\(454\) | −1.00019 | − | 1.73238i | −0.0469413 | − | 0.0813047i | ||||
\(455\) | −0.114819 | + | 0.198872i | −0.00538280 | + | 0.00932328i | ||||
\(456\) | −9.71218 | − | 8.14949i | −0.454815 | − | 0.381635i | ||||
\(457\) | −10.8568 | + | 1.91434i | −0.507858 | + | 0.0895491i | −0.421705 | − | 0.906733i | \(-0.638568\pi\) |
−0.0861526 | + | 0.996282i | \(0.527457\pi\) | |||||||
\(458\) | −7.74443 | + | 4.47125i | −0.361873 | + | 0.208928i | ||||
\(459\) | −5.53764 | − | 15.2145i | −0.258475 | − | 0.710154i | ||||
\(460\) | 3.13911 | − | 1.14254i | 0.146362 | − | 0.0532713i | ||||
\(461\) | −21.0232 | − | 3.70696i | −0.979148 | − | 0.172650i | −0.338903 | − | 0.940821i | \(-0.610056\pi\) |
−0.640245 | + | 0.768171i | \(0.721167\pi\) | |||||||
\(462\) | 0.856365 | + | 1.02058i | 0.0398417 | + | 0.0474815i | ||||
\(463\) | 21.3348 | + | 25.4258i | 0.991512 | + | 1.18164i | 0.983359 | + | 0.181671i | \(0.0581506\pi\) |
0.00815253 | + | 0.999967i | \(0.497405\pi\) | |||||||
\(464\) | −2.99225 | − | 0.527614i | −0.138912 | − | 0.0244939i | ||||
\(465\) | −11.4974 | + | 4.18470i | −0.533177 | + | 0.194061i | ||||
\(466\) | 7.43379 | + | 20.4242i | 0.344364 | + | 0.946132i | ||||
\(467\) | 12.8279 | − | 7.40621i | 0.593606 | − | 0.342719i | −0.172916 | − | 0.984937i | \(-0.555319\pi\) |
0.766522 | + | 0.642218i | \(0.221986\pi\) | |||||||
\(468\) | −1.02086 | + | 0.180005i | −0.0471891 | + | 0.00832071i | ||||
\(469\) | 0.270809 | + | 0.227236i | 0.0125048 | + | 0.0104928i | ||||
\(470\) | 3.33545 | − | 5.77716i | 0.153853 | − | 0.266481i | ||||
\(471\) | 16.3241 | + | 28.2742i | 0.752175 | + | 1.30281i | ||||
\(472\) | 1.50572 | − | 8.53936i | 0.0693064 | − | 0.393056i | ||||
\(473\) | −33.7865 | − | 19.5067i | −1.55351 | − | 0.896917i | ||||
\(474\) | 3.33830 | + | 1.21504i | 0.153333 | + | 0.0558087i | ||||
\(475\) | − | 29.4122i | − | 1.34952i | ||||||
\(476\) | 0.175907 | − | 0.483301i | 0.00806269 | − | 0.0221521i | ||||
\(477\) | −1.00614 | − | 5.70611i | −0.0460681 | − | 0.261265i | ||||
\(478\) | 6.06500 | − | 5.08914i | 0.277407 | − | 0.232772i | ||||
\(479\) | 5.78865 | − | 6.89864i | 0.264490 | − | 0.315207i | −0.617412 | − | 0.786640i | \(-0.711819\pi\) |
0.881902 | + | 0.471433i | \(0.156263\pi\) | |||||||
\(480\) | −1.50358 | −0.0686287 | ||||||||
\(481\) | 11.6432 | − | 2.20584i | 0.530885 | − | 0.100578i | ||||
\(482\) | −29.7786 | −1.35638 | ||||||||
\(483\) | 0.743186 | − | 0.885694i | 0.0338161 | − | 0.0403005i | ||||
\(484\) | −9.30710 | + | 7.80958i | −0.423050 | + | 0.354981i | ||||
\(485\) | −0.816221 | − | 4.62902i | −0.0370627 | − | 0.210193i | ||||
\(486\) | −1.87014 | + | 5.13816i | −0.0848311 | + | 0.233071i | ||||
\(487\) | − | 3.39198i | − | 0.153705i | −0.997042 | − | 0.0768525i | \(-0.975513\pi\) | ||
0.997042 | − | 0.0768525i | \(-0.0244871\pi\) | |||||||
\(488\) | −0.330478 | − | 0.120284i | −0.0149600 | − | 0.00544500i | ||||
\(489\) | 3.68023 | + | 2.12478i | 0.166426 | + | 0.0960860i | ||||
\(490\) | 0.969460 | − | 5.49808i | 0.0437958 | − | 0.248378i | ||||
\(491\) | 10.3671 | + | 17.9564i | 0.467862 | + | 0.810361i | 0.999326 | − | 0.0367202i | \(-0.0116910\pi\) |
−0.531463 | + | 0.847081i | \(0.678358\pi\) | |||||||
\(492\) | 3.66260 | − | 6.34382i | 0.165123 | − | 0.286001i | ||||
\(493\) | −8.12509 | − | 6.81776i | −0.365935 | − | 0.307056i | ||||
\(494\) | 12.9428 | − | 2.28216i | 0.582323 | − | 0.102679i | ||||
\(495\) | 1.77377 | − | 1.02409i | 0.0797249 | − | 0.0460292i | ||||
\(496\) | 2.78316 | + | 7.64666i | 0.124967 | + | 0.343345i | ||||
\(497\) | −0.966834 | + | 0.351899i | −0.0433684 | + | 0.0157848i | ||||
\(498\) | −18.3323 | − | 3.23248i | −0.821491 | − | 0.144851i | ||||
\(499\) | 15.8653 | + | 18.9076i | 0.710229 | + | 0.846418i | 0.993643 | − | 0.112579i | \(-0.0359113\pi\) |
−0.283413 | + | 0.958998i | \(0.591467\pi\) | |||||||
\(500\) | −4.81339 | − | 5.73638i | −0.215261 | − | 0.256539i | ||||
\(501\) | −29.5319 | − | 5.20727i | −1.31939 | − | 0.232644i | ||||
\(502\) | −21.4587 | + | 7.81034i | −0.957751 | + | 0.348593i | ||||
\(503\) | −5.69356 | − | 15.6429i | −0.253863 | − | 0.697484i | −0.999515 | − | 0.0311477i | \(-0.990084\pi\) |
0.745651 | − | 0.666336i | \(-0.232138\pi\) | |||||||
\(504\) | −0.0678921 | + | 0.0391975i | −0.00302415 | + | 0.00174600i | ||||
\(505\) | −13.4077 | + | 2.36413i | −0.596633 | + | 0.105203i | ||||
\(506\) | 15.3899 | + | 12.9136i | 0.684163 | + | 0.574081i | ||||
\(507\) | −8.64949 | + | 14.9814i | −0.384137 | + | 0.665345i | ||||
\(508\) | 2.76634 | + | 4.79144i | 0.122736 | + | 0.212586i | ||||
\(509\) | 4.36442 | − | 24.7519i | 0.193450 | − | 1.09711i | −0.721160 | − | 0.692769i | \(-0.756391\pi\) |
0.914609 | − | 0.404339i | \(-0.132498\pi\) | |||||||
\(510\) | −4.54553 | − | 2.62436i | −0.201280 | − | 0.116209i | ||||
\(511\) | −0.157000 | − | 0.0571433i | −0.00694527 | − | 0.00252787i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 10.7015 | − | 29.4021i | 0.472482 | − | 1.29813i | ||||
\(514\) | −2.84997 | − | 16.1630i | −0.125707 | − | 0.712918i | ||||
\(515\) | 7.81209 | − | 6.55513i | 0.344242 | − | 0.288853i | ||||
\(516\) | 9.79547 | − | 11.6738i | 0.431221 | − | 0.513910i | ||||
\(517\) | 40.1185 | 1.76441 | ||||||||
\(518\) | 0.770379 | − | 0.457921i | 0.0338485 | − | 0.0201199i | ||||
\(519\) | −5.77943 | −0.253689 | ||||||||
\(520\) | 1.00186 | − | 1.19397i | 0.0439345 | − | 0.0523591i | ||||
\(521\) | −22.0872 | + | 18.5334i | −0.967659 | + | 0.811962i | −0.982182 | − | 0.187932i | \(-0.939821\pi\) |
0.0145232 | + | 0.999895i | \(0.495377\pi\) | |||||||
\(522\) | 0.280738 | + | 1.59214i | 0.0122876 | + | 0.0696862i | ||||
\(523\) | 1.23619 | − | 3.39641i | 0.0540548 | − | 0.148514i | −0.909727 | − | 0.415208i | \(-0.863709\pi\) |
0.963781 | + | 0.266693i | \(0.0859311\pi\) | |||||||
\(524\) | − | 0.822948i | − | 0.0359507i | ||||||
\(525\) | −1.13445 | − | 0.412907i | −0.0495116 | − | 0.0180207i | ||||
\(526\) | −1.35075 | − | 0.779853i | −0.0588953 | − | 0.0340032i | ||||
\(527\) | −4.93269 | + | 27.9747i | −0.214871 | + | 1.21860i | ||||
\(528\) | −4.52124 | − | 7.83101i | −0.196762 | − | 0.340801i | ||||
\(529\) | −2.78255 | + | 4.81951i | −0.120980 | + | 0.209544i | ||||
\(530\) | 6.67374 | + | 5.59994i | 0.289889 | + | 0.243246i | ||||
\(531\) | −4.54370 | + | 0.801177i | −0.197180 | + | 0.0347681i | ||||
\(532\) | 0.860760 | − | 0.496960i | 0.0373187 | − | 0.0215459i | ||||
\(533\) | 2.59708 | + | 7.13541i | 0.112492 | + | 0.309069i | ||||
\(534\) | 17.8620 | − | 6.50124i | 0.772965 | − | 0.281336i | ||||
\(535\) | 11.2184 | + | 1.97811i | 0.485014 | + | 0.0855211i | ||||
\(536\) | −1.54231 | − | 1.83806i | −0.0666178 | − | 0.0793920i | ||||
\(537\) | 12.6200 | + | 15.0400i | 0.544594 | + | 0.649022i | ||||
\(538\) | 3.24843 | + | 0.572786i | 0.140050 | + | 0.0246946i | ||||
\(539\) | 31.5505 | − | 11.4834i | 1.35898 | − | 0.494627i | ||||
\(540\) | −1.26913 | − | 3.48692i | −0.0546149 | − | 0.150053i | ||||
\(541\) | −9.89184 | + | 5.71106i | −0.425284 | + | 0.245538i | −0.697335 | − | 0.716745i | \(-0.745631\pi\) |
0.272052 | + | 0.962283i | \(0.412298\pi\) | |||||||
\(542\) | −3.54862 | + | 0.625717i | −0.152426 | + | 0.0268768i | ||||
\(543\) | 12.9662 | + | 10.8800i | 0.556434 | + | 0.466904i | ||||
\(544\) | −1.74541 | + | 3.02314i | −0.0748339 | + | 0.129616i | ||||
\(545\) | 7.91579 | + | 13.7106i | 0.339075 | + | 0.587295i | ||||
\(546\) | 0.0936741 | − | 0.531252i | 0.00400888 | − | 0.0227355i | ||||
\(547\) | 28.9864 | + | 16.7353i | 1.23937 | + | 0.715550i | 0.968965 | − | 0.247197i | \(-0.0795094\pi\) |
0.270404 | + | 0.962747i | \(0.412843\pi\) | |||||||
\(548\) | 6.33571 | + | 2.30601i | 0.270648 | + | 0.0985078i | ||||
\(549\) | 0.187129i | 0.00798646i | ||||||||
\(550\) | 7.17469 | − | 19.7123i | 0.305930 | − | 0.840536i | ||||
\(551\) | −3.55929 | − | 20.1858i | −0.151631 | − | 0.859942i | ||||
\(552\) | −6.01146 | + | 5.04421i | −0.255865 | + | 0.214696i | ||||
\(553\) | −0.179017 | + | 0.213345i | −0.00761259 | + | 0.00907234i | ||||
\(554\) | 15.6880 | 0.666521 | ||||||||
\(555\) | −3.23699 | − | 8.55393i | −0.137402 | − | 0.363094i | ||||
\(556\) | 12.0038 | 0.509075 | ||||||||
\(557\) | 12.5025 | − | 14.8999i | 0.529747 | − | 0.631328i | −0.433109 | − | 0.901341i | \(-0.642584\pi\) |
0.962857 | + | 0.270013i | \(0.0870280\pi\) | |||||||
\(558\) | 3.31684 | − | 2.78316i | 0.140413 | − | 0.117820i | ||||
\(559\) | 2.74310 | + | 15.5569i | 0.116021 | + | 0.657986i | ||||
\(560\) | 0.0403150 | − | 0.110765i | 0.00170362 | − | 0.00468066i | ||||
\(561\) | − | 31.5656i | − | 1.33270i | ||||||
\(562\) | 4.78173 | + | 1.74041i | 0.201705 | + | 0.0734146i | ||||
\(563\) | 16.3919 | + | 9.46387i | 0.690837 | + | 0.398855i | 0.803925 | − | 0.594730i | \(-0.202741\pi\) |
−0.113089 | + | 0.993585i | \(0.536074\pi\) | |||||||
\(564\) | −2.72119 | + | 15.4327i | −0.114583 | + | 0.649832i | ||||
\(565\) | −3.40079 | − | 5.89033i | −0.143072 | − | 0.247808i | ||||
\(566\) | 4.58222 | − | 7.93663i | 0.192605 | − | 0.333602i | ||||
\(567\) | −1.16399 | − | 0.976704i | −0.0488830 | − | 0.0410177i | ||||
\(568\) | 6.87722 | − | 1.21264i | 0.288562 | − | 0.0508813i | ||||
\(569\) | 6.71294 | − | 3.87572i | 0.281421 | − | 0.162479i | −0.352645 | − | 0.935757i | \(-0.614718\pi\) |
0.634067 | + | 0.773278i | \(0.281384\pi\) | |||||||
\(570\) | −3.46917 | − | 9.53146i | −0.145307 | − | 0.399229i | ||||
\(571\) | −4.66196 | + | 1.69681i | −0.195097 | + | 0.0710094i | −0.437721 | − | 0.899111i | \(-0.644214\pi\) |
0.242624 | + | 0.970120i | \(0.421992\pi\) | |||||||
\(572\) | 9.23107 | + | 1.62769i | 0.385970 | + | 0.0680570i | ||||
\(573\) | 1.21470 | + | 1.44762i | 0.0507447 | + | 0.0604752i | ||||
\(574\) | 0.369127 | + | 0.439909i | 0.0154071 | + | 0.0183614i | ||||
\(575\) | −17.9284 | − | 3.16126i | −0.747666 | − | 0.131834i | ||||
\(576\) | 0.500000 | − | 0.181985i | 0.0208333 | − | 0.00758271i | ||||
\(577\) | 7.21587 | + | 19.8254i | 0.300401 | + | 0.825344i | 0.994430 | + | 0.105397i | \(0.0336114\pi\) |
−0.694030 | + | 0.719946i | \(0.744166\pi\) | |||||||
\(578\) | 4.16919 | − | 2.40708i | 0.173415 | − | 0.100121i | ||||
\(579\) | −20.3504 | + | 3.58832i | −0.845733 | + | 0.149126i | ||||
\(580\) | −1.86213 | − | 1.56252i | −0.0773209 | − | 0.0648800i | ||||
\(581\) | 0.729667 | − | 1.26382i | 0.0302717 | − | 0.0524321i | ||||
\(582\) | 5.52093 | + | 9.56254i | 0.228850 | + | 0.396380i | ||||
\(583\) | −9.09801 | + | 51.5974i | −0.376801 | + | 2.13694i | ||||
\(584\) | 0.982064 | + | 0.566995i | 0.0406381 | + | 0.0234624i | ||||
\(585\) | −0.779309 | − | 0.283645i | −0.0322205 | − | 0.0117273i | ||||
\(586\) | − | 25.3205i | − | 1.04598i | ||||||
\(587\) | −0.000238503 | 0 | 0.000655281i | −9.84406e−6 | 0 | 2.70463e-5i | −0.939698 | − | 0.342007i | \(-0.888893\pi\) |
0.939688 | + | 0.342034i | \(0.111116\pi\) | |||||||
\(588\) | 2.27738 | + | 12.9157i | 0.0939175 | + | 0.532633i | ||||
\(589\) | −42.0520 | + | 35.2858i | −1.73272 | + | 1.45393i | ||||
\(590\) | 4.45915 | − | 5.31421i | 0.183580 | − | 0.218783i | ||||
\(591\) | 48.6855 | 2.00266 | ||||||||
\(592\) | −5.68904 | + | 2.15285i | −0.233818 | + | 0.0884818i | ||||
\(593\) | −8.38840 | −0.344470 | −0.172235 | − | 0.985056i | \(-0.555099\pi\) | ||||
−0.172235 | + | 0.985056i | \(0.555099\pi\) | |||||||
\(594\) | 14.3445 | − | 17.0951i | 0.588560 | − | 0.701419i | ||||
\(595\) | 0.315207 | − | 0.264490i | 0.0129222 | − | 0.0108431i | ||||
\(596\) | 1.59992 | + | 9.07357i | 0.0655351 | + | 0.371668i | ||||
\(597\) | −10.0107 | + | 27.5041i | −0.409709 | + | 1.12567i | ||||
\(598\) | − | 8.13465i | − | 0.332651i | ||||||
\(599\) | −24.7128 | − | 8.99471i | −1.00974 | − | 0.367514i | −0.216405 | − | 0.976304i | \(-0.569433\pi\) |
−0.793332 | + | 0.608790i | \(0.791655\pi\) | |||||||
\(600\) | 7.09622 | + | 4.09700i | 0.289702 | + | 0.167259i | ||||
\(601\) | 7.49727 | − | 42.5191i | 0.305820 | − | 1.73439i | −0.313800 | − | 0.949489i | \(-0.601602\pi\) |
0.619620 | − | 0.784902i | \(-0.287287\pi\) | |||||||
\(602\) | 0.597332 | + | 1.03461i | 0.0243454 | + | 0.0421676i | ||||
\(603\) | −0.638350 | + | 1.10566i | −0.0259956 | + | 0.0450258i | ||||
\(604\) | −9.02729 | − | 7.57480i | −0.367315 | − | 0.308214i | ||||
\(605\) | −9.57243 | + | 1.68788i | −0.389175 | + | 0.0686220i | ||||
\(606\) | 27.6973 | − | 15.9910i | 1.12513 | − | 0.649592i | ||||
\(607\) | 11.6866 | + | 32.1087i | 0.474345 | + | 1.30325i | 0.914229 | + | 0.405197i | \(0.132797\pi\) |
−0.439885 | + | 0.898054i | \(0.644981\pi\) | |||||||
\(608\) | −6.33918 | + | 2.30727i | −0.257088 | + | 0.0935722i | ||||
\(609\) | −0.828549 | − | 0.146095i | −0.0335745 | − | 0.00592009i | ||||
\(610\) | −0.180857 | − | 0.215537i | −0.00732267 | − | 0.00872682i | ||||
\(611\) | −10.4417 | − | 12.4439i | −0.422425 | − | 0.503426i | ||||
\(612\) | 1.82921 | + | 0.322539i | 0.0739414 | + | 0.0130379i | ||||
\(613\) | −38.7066 | + | 14.0880i | −1.56334 | + | 0.569011i | −0.971499 | − | 0.237042i | \(-0.923822\pi\) |
−0.591844 | + | 0.806052i | \(0.701600\pi\) | |||||||
\(614\) | 2.97752 | + | 8.18067i | 0.120163 | + | 0.330145i | ||||
\(615\) | 5.07530 | − | 2.93022i | 0.204656 | − | 0.118158i | ||||
\(616\) | 0.698115 | − | 0.123097i | 0.0281279 | − | 0.00495970i | ||||
\(617\) | −24.5087 | − | 20.5652i | −0.986681 | − | 0.827924i | −0.00159734 | − | 0.999999i | \(-0.500508\pi\) |
−0.985084 | + | 0.172075i | \(0.944953\pi\) | |||||||
\(618\) | −11.9781 | + | 20.7467i | −0.481831 | + | 0.834555i | ||||
\(619\) | −3.10000 | − | 5.36936i | −0.124600 | − | 0.215813i | 0.796977 | − | 0.604010i | \(-0.206431\pi\) |
−0.921576 | + | 0.388197i | \(0.873098\pi\) | |||||||
\(620\) | −1.13049 | + | 6.41133i | −0.0454016 | + | 0.257485i | ||||
\(621\) | −16.7720 | − | 9.68334i | −0.673039 | − | 0.388579i | ||||
\(622\) | −5.45885 | − | 1.98686i | −0.218880 | − | 0.0796657i | ||||
\(623\) | 1.49016i | 0.0597020i | ||||||||
\(624\) | −1.25227 | + | 3.44057i | −0.0501308 | + | 0.137733i | ||||
\(625\) | 2.74516 | + | 15.5686i | 0.109807 | + | 0.622744i | ||||
\(626\) | 6.02528 | − | 5.05581i | 0.240819 | − | 0.202071i | ||||
\(627\) | 39.2104 | − | 46.7292i | 1.56591 | − | 1.86618i | ||||
\(628\) | 17.3717 | 0.693208 | ||||||||
\(629\) | −20.9564 | − | 3.42134i | −0.835586 | − | 0.136418i | ||||
\(630\) | −0.0627190 | −0.00249878 | ||||||||
\(631\) | −23.4724 | + | 27.9733i | −0.934421 | + | 1.11360i | 0.0589052 | + | 0.998264i | \(0.481239\pi\) |
−0.993326 | + | 0.115336i | \(0.963205\pi\) | |||||||
\(632\) | 1.44803 | − | 1.21504i | 0.0575995 | − | 0.0483317i | ||||
\(633\) | −7.56293 | − | 42.8915i | −0.300600 | − | 1.70479i | ||||
\(634\) | −1.91497 | + | 5.26133i | −0.0760531 | + | 0.208954i | ||||
\(635\) | 4.42635i | 0.175654i | ||||||||
\(636\) | −19.2312 | − | 6.99959i | −0.762567 | − | 0.277552i | ||||
\(637\) | −11.7736 | − | 6.79748i | −0.466487 | − | 0.269326i | ||||
\(638\) | 2.53856 | − | 14.3969i | 0.100503 | − | 0.569979i | ||||
\(639\) | −1.85787 | − | 3.21793i | −0.0734963 | − | 0.127299i | ||||
\(640\) | −0.400019 | + | 0.692853i | −0.0158121 | + | 0.0273874i | ||||
\(641\) | −15.2619 | − | 12.8063i | −0.602810 | − | 0.505817i | 0.289538 | − | 0.957167i | \(-0.406498\pi\) |
−0.892347 | + | 0.451349i | \(0.850943\pi\) | |||||||
\(642\) | −26.3534 | + | 4.64681i | −1.04009 | + | 0.183395i | ||||
\(643\) | −28.9945 | + | 16.7400i | −1.14343 | + | 0.660161i | −0.947278 | − | 0.320412i | \(-0.896179\pi\) |
−0.196155 | + | 0.980573i | \(0.562845\pi\) | |||||||
\(644\) | −0.210410 | − | 0.578096i | −0.00829130 | − | 0.0227802i | ||||
\(645\) | 11.4566 | − | 4.16985i | 0.451101 | − | 0.164187i | ||||
\(646\) | −23.1914 | − | 4.08926i | −0.912452 | − | 0.160890i | ||||
\(647\) | −7.67494 | − | 9.14664i | −0.301733 | − | 0.359592i | 0.593779 | − | 0.804628i | \(-0.297635\pi\) |
−0.895513 | + | 0.445036i | \(0.853191\pi\) | |||||||
\(648\) | 6.62916 | + | 7.90033i | 0.260418 | + | 0.310354i | ||||
\(649\) | 41.0863 | + | 7.24462i | 1.61278 | + | 0.284376i | ||||
\(650\) | −7.98170 | + | 2.90510i | −0.313068 | + | 0.113947i | ||||
\(651\) | 0.770651 | + | 2.11735i | 0.0302042 | + | 0.0829853i | ||||
\(652\) | 1.95821 | − | 1.13057i | 0.0766895 | − | 0.0442767i | ||||
\(653\) | 13.4694 | − | 2.37501i | 0.527097 | − | 0.0929414i | 0.0962338 | − | 0.995359i | \(-0.469320\pi\) |
0.430863 | + | 0.902417i | \(0.358209\pi\) | |||||||
\(654\) | −28.4894 | − | 23.9054i | −1.11402 | − | 0.934777i | ||||
\(655\) | 0.329195 | − | 0.570182i | 0.0128627 | − | 0.0222789i | ||||
\(656\) | −1.94883 | − | 3.37547i | −0.0760891 | − | 0.131790i | ||||
\(657\) | 0.104776 | − | 0.594217i | 0.00408772 | − | 0.0231826i | ||||
\(658\) | −1.06392 | − | 0.614253i | −0.0414758 | − | 0.0239461i | ||||
\(659\) | 31.2934 | + | 11.3899i | 1.21902 | + | 0.443686i | 0.869822 | − | 0.493365i | \(-0.164233\pi\) |
0.349194 | + | 0.937051i | \(0.386456\pi\) | |||||||
\(660\) | − | 7.23432i | − | 0.281596i | ||||||
\(661\) | −1.38912 | + | 3.81658i | −0.0540305 | + | 0.148448i | −0.963772 | − | 0.266728i | \(-0.914058\pi\) |
0.909741 | + | 0.415175i | \(0.136280\pi\) | |||||||
\(662\) | −3.15875 | − | 17.9142i | −0.122768 | − | 0.696254i | ||||
\(663\) | −9.79099 | + | 8.21561i | −0.380250 | + | 0.319068i | ||||
\(664\) | −6.36675 | + | 7.58759i | −0.247078 | + | 0.294456i | ||||
\(665\) | 0.795174 | 0.0308355 | ||||||||
\(666\) | 2.11175 | + | 2.45273i | 0.0818286 | + | 0.0950415i | ||||
\(667\) | −12.6869 | −0.491240 | ||||||||
\(668\) | −10.2563 | + | 12.2230i | −0.396829 | + | 0.472923i | ||||
\(669\) | 14.2702 | − | 11.9741i | 0.551717 | − | 0.462945i | ||||
\(670\) | −0.333339 | − | 1.89046i | −0.0128780 | − | 0.0730348i | ||||
\(671\) | 0.578735 | − | 1.59006i | 0.0223418 | − | 0.0613836i | ||||
\(672\) | 0.276898i | 0.0106816i | ||||||||
\(673\) | 17.0237 | + | 6.19612i | 0.656216 | + | 0.238843i | 0.648602 | − | 0.761128i | \(-0.275354\pi\) |
0.00761402 | + | 0.999971i | \(0.497576\pi\) | |||||||
\(674\) | 28.6135 | + | 16.5200i | 1.10215 | + | 0.636328i | ||||
\(675\) | −3.51153 | + | 19.9149i | −0.135159 | + | 0.766523i | ||||
\(676\) | 4.60230 | + | 7.97141i | 0.177011 | + | 0.306593i | ||||
\(677\) | −10.1473 | + | 17.5756i | −0.389991 | + | 0.675484i | −0.992448 | − | 0.122667i | \(-0.960855\pi\) |
0.602457 | + | 0.798151i | \(0.294189\pi\) | |||||||
\(678\) | 12.2396 | + | 10.2703i | 0.470060 | + | 0.394427i | ||||
\(679\) | −0.852477 | + | 0.150315i | −0.0327150 | + | 0.00576855i | ||||
\(680\) | −2.41863 | + | 1.39639i | −0.0927501 | + | 0.0535493i | ||||
\(681\) | 1.28582 | + | 3.53276i | 0.0492728 | + | 0.135376i | ||||
\(682\) | −36.7911 | + | 13.3909i | −1.40880 | + | 0.512763i | ||||
\(683\) | −23.3553 | − | 4.11816i | −0.893665 | − | 0.157577i | −0.292087 | − | 0.956392i | \(-0.594350\pi\) |
−0.601577 | + | 0.798814i | \(0.705461\pi\) | |||||||
\(684\) | 2.30727 | + | 2.74970i | 0.0882207 | + | 0.105137i | ||||
\(685\) | 3.46727 | + | 4.13213i | 0.132477 | + | 0.157881i | ||||
\(686\) | −2.02820 | − | 0.357626i | −0.0774369 | − | 0.0136542i | ||||
\(687\) | 15.7928 | − | 5.74813i | 0.602535 | − | 0.219305i | ||||
\(688\) | −2.77328 | − | 7.61952i | −0.105730 | − | 0.290491i | ||||
\(689\) | 18.3723 | − | 10.6073i | 0.699931 | − | 0.404105i | ||||
\(690\) | −6.18284 | + | 1.09020i | −0.235377 | + | 0.0415032i | ||||
\(691\) | −2.69427 | − | 2.26076i | −0.102495 | − | 0.0860034i | 0.590100 | − | 0.807330i | \(-0.299088\pi\) |
−0.692595 | + | 0.721327i | \(0.743533\pi\) | |||||||
\(692\) | −1.53759 | + | 2.66318i | −0.0584502 | + | 0.101239i | ||||
\(693\) | −0.188595 | − | 0.326656i | −0.00716412 | − | 0.0124086i | ||||
\(694\) | −5.60917 | + | 31.8112i | −0.212921 | + | 1.20754i | ||||
\(695\) | 8.31688 | + | 4.80175i | 0.315477 | + | 0.182141i | ||||
\(696\) | 5.36597 | + | 1.95305i | 0.203396 | + | 0.0740303i | ||||
\(697\) | − | 13.6060i | − | 0.515366i | ||||||
\(698\) | 0.781994 | − | 2.14851i | 0.0295989 | − | 0.0813224i | ||||
\(699\) | −7.09324 | − | 40.2278i | −0.268291 | − | 1.52155i | ||||
\(700\) | −0.492083 | + | 0.412907i | −0.0185990 | + | 0.0156064i | ||||
\(701\) | 12.2023 | − | 14.5422i | 0.460876 | − | 0.549251i | −0.484688 | − | 0.874687i | \(-0.661067\pi\) |
0.945564 | + | 0.325436i | \(0.105511\pi\) | |||||||
\(702\) | −9.03596 | −0.341040 | ||||||||
\(703\) | −26.7735 | − | 31.0966i | −1.00978 | − | 1.17283i | ||||
\(704\) | −4.81140 | −0.181336 | ||||||||
\(705\) | −8.05874 | + | 9.60403i | −0.303510 | + | 0.361709i | ||||
\(706\) | −4.91950 | + | 4.12795i | −0.185148 | + | 0.155357i | ||||
\(707\) | 0.435377 | + | 2.46915i | 0.0163740 | + | 0.0928618i | ||||
\(708\) | −5.57367 | + | 15.3135i | −0.209471 | + | 0.575518i | ||||
\(709\) | − | 13.0236i | − | 0.489113i | −0.969635 | − | 0.244556i | \(-0.921358\pi\) | ||
0.969635 | − | 0.244556i | \(-0.0786423\pi\) | |||||||
\(710\) | 5.24999 | + | 1.91084i | 0.197029 | + | 0.0717125i | ||||
\(711\) | −0.871040 | − | 0.502895i | −0.0326666 | − | 0.0188601i | ||||
\(712\) | 1.75630 | − | 9.96048i | 0.0658202 | − | 0.373285i | ||||
\(713\) | 16.9889 | + | 29.4257i | 0.636240 | + | 1.10200i | ||||
\(714\) | −0.483301 | + | 0.837102i | −0.0180871 | + | 0.0313278i | ||||
\(715\) | 5.74467 | + | 4.82035i | 0.214838 | + | 0.180271i | ||||
\(716\) | 10.2879 | − | 1.81404i | 0.384478 | − | 0.0677939i | ||||
\(717\) | −12.8862 | + | 7.43983i | −0.481242 | + | 0.277845i | ||||
\(718\) | 2.50442 | + | 6.88084i | 0.0934642 | + | 0.256791i | ||||
\(719\) | 23.6018 | − | 8.59034i | 0.880197 | − | 0.320366i | 0.137908 | − | 0.990445i | \(-0.455962\pi\) |
0.742289 | + | 0.670079i | \(0.233740\pi\) | |||||||
\(720\) | 0.419224 | + | 0.0739205i | 0.0156236 | + | 0.00275486i | ||||
\(721\) | −1.20719 | − | 1.43867i | −0.0449580 | − | 0.0535789i | ||||
\(722\) | −17.0394 | − | 20.3068i | −0.634143 | − | 0.755742i | ||||
\(723\) | 55.1151 | + | 9.71829i | 2.04975 | + | 0.361427i | ||||
\(724\) | 8.46310 | − | 3.08032i | 0.314529 | − | 0.114479i | ||||
\(725\) | 4.53084 | + | 12.4484i | 0.168271 | + | 0.462321i | ||||
\(726\) | 19.7746 | − | 11.4168i | 0.733902 | − | 0.423719i | ||||
\(727\) | −19.0823 | + | 3.36472i | −0.707723 | + | 0.124791i | −0.515913 | − | 0.856641i | \(-0.672547\pi\) |
−0.191811 | + | 0.981432i | \(0.561436\pi\) | |||||||
\(728\) | −0.219881 | − | 0.184502i | −0.00814932 | − | 0.00683810i | ||||
\(729\) | −10.3316 | + | 17.8948i | −0.382651 | + | 0.662770i | ||||
\(730\) | 0.453618 | + | 0.785689i | 0.0167891 | + | 0.0290796i | ||||
\(731\) | 4.91518 | − | 27.8754i | 0.181795 | − | 1.03101i | ||||
\(732\) | 0.572404 | + | 0.330478i | 0.0211567 | + | 0.0122148i | ||||
\(733\) | 10.1457 | + | 3.69274i | 0.374741 | + | 0.136395i | 0.522523 | − | 0.852625i | \(-0.324991\pi\) |
−0.147781 | + | 0.989020i | \(0.547213\pi\) | |||||||
\(734\) | 31.5546i | 1.16470i | ||||||||
\(735\) | −3.58862 | + | 9.85965i | −0.132368 | + | 0.363679i | ||||
\(736\) | 0.725070 | + | 4.11208i | 0.0267264 | + | 0.151573i | ||||
\(737\) | 8.84362 | − | 7.42068i | 0.325759 | − | 0.273344i | ||||
\(738\) | −1.33308 | + | 1.58870i | −0.0490713 | + | 0.0584809i | ||||
\(739\) | −28.0429 | −1.03157 | −0.515787 | − | 0.856717i | \(-0.672500\pi\) | ||||
−0.515787 | + | 0.856717i | \(0.672500\pi\) | |||||||
\(740\) | −4.80286 | − | 0.784114i | −0.176556 | − | 0.0288246i | ||||
\(741\) | −24.6997 | −0.907367 | ||||||||
\(742\) | 1.03128 | − | 1.22903i | 0.0378595 | − | 0.0451192i | ||||
\(743\) | 13.7013 | − | 11.4967i | 0.502651 | − | 0.421774i | −0.355883 | − | 0.934530i | \(-0.615820\pi\) |
0.858534 | + | 0.512756i | \(0.171375\pi\) | |||||||
\(744\) | −2.65566 | − | 15.0610i | −0.0973611 | − | 0.552162i | ||||
\(745\) | −2.52109 | + | 6.92665i | −0.0923657 | + | 0.253773i | ||||
\(746\) | − | 8.36944i | − | 0.306427i | ||||||
\(747\) | 4.95245 | + | 1.80254i | 0.181201 | + | 0.0659517i | ||||
\(748\) | −14.5455 | − | 8.39787i | −0.531837 | − | 0.307056i | ||||
\(749\) | 0.364287 | − | 2.06597i | 0.0133108 | − | 0.0754891i | ||||
\(750\) | 7.03671 | + | 12.1879i | 0.256944 | + | 0.445040i | ||||
\(751\) | 1.32138 | − | 2.28870i | 0.0482179 | − | 0.0835159i | −0.840909 | − | 0.541176i | \(-0.817979\pi\) |
0.889127 | + | 0.457660i | \(0.151312\pi\) | |||||||
\(752\) | 6.38745 | + | 5.35970i | 0.232926 | + | 0.195448i | ||||
\(753\) | 42.2655 | − | 7.45254i | 1.54024 | − | 0.271586i | ||||
\(754\) | −5.12632 | + | 2.95969i | −0.186690 | + | 0.107785i | ||||
\(755\) | −3.22453 | − | 8.85931i | −0.117353 | − | 0.322423i | ||||
\(756\) | −0.642148 | + | 0.233723i | −0.0233547 | + | 0.00850042i | ||||
\(757\) | 47.2794 | + | 8.33663i | 1.71840 | + | 0.303000i | 0.944060 | − | 0.329773i | \(-0.106972\pi\) |
0.774337 | + | 0.632773i | \(0.218083\pi\) | |||||||
\(758\) | 18.1179 | + | 21.5920i | 0.658071 | + | 0.784258i | ||||
\(759\) | −24.2697 | − | 28.9235i | −0.880934 | − | 1.04986i | ||||
\(760\) | −5.31507 | − | 0.937191i | −0.192798 | − | 0.0339955i | ||||
\(761\) | 3.02398 | − | 1.10064i | 0.109619 | − | 0.0398981i | −0.286628 | − | 0.958042i | \(-0.592534\pi\) |
0.396247 | + | 0.918144i | \(0.370312\pi\) | |||||||
\(762\) | −3.55633 | − | 9.77095i | −0.128832 | − | 0.353964i | ||||
\(763\) | 2.52492 | − | 1.45777i | 0.0914084 | − | 0.0527747i | ||||
\(764\) | 0.990230 | − | 0.174604i | 0.0358253 | − | 0.00631696i | ||||
\(765\) | 1.13835 | + | 0.955190i | 0.0411572 | + | 0.0345350i | ||||
\(766\) | 4.54733 | − | 7.87621i | 0.164302 | − | 0.284579i | ||||
\(767\) | −8.44643 | − | 14.6296i | −0.304983 | − | 0.528246i | ||||
\(768\) | 0.326352 | − | 1.85083i | 0.0117762 | − | 0.0667862i | ||||
\(769\) | 17.4613 | + | 10.0813i | 0.629671 | + | 0.363541i | 0.780625 | − | 0.625000i | \(-0.214901\pi\) |
−0.150954 | + | 0.988541i | \(0.548234\pi\) | |||||||
\(770\) | 0.532932 | + | 0.193971i | 0.0192055 | + | 0.00699025i | ||||
\(771\) | 30.8451i | 1.11086i | ||||||||
\(772\) | −3.76060 | + | 10.3322i | −0.135347 | + | 0.371863i | ||||
\(773\) | −3.61493 | − | 20.5013i | −0.130020 | − | 0.737380i | −0.978199 | − | 0.207670i | \(-0.933412\pi\) |
0.848179 | − | 0.529710i | \(-0.177699\pi\) | |||||||
\(774\) | −3.30506 | + | 2.77328i | −0.118798 | + | 0.0996834i | ||||
\(775\) | 22.8052 | − | 27.1782i | 0.819187 | − | 0.976269i | ||||
\(776\) | 5.87526 | 0.210909 | ||||||||
\(777\) | −1.57529 | + | 0.596121i | −0.0565131 | + | 0.0213857i | ||||
\(778\) | 2.00537 | 0.0718960 | ||||||||
\(779\) | 16.9013 | − | 20.1421i | 0.605550 | − | 0.721667i | ||||
\(780\) | −2.24393 | + | 1.88288i | −0.0803456 | + | 0.0674180i | ||||
\(781\) | 5.83450 | + | 33.0891i | 0.208775 | + | 1.18402i | ||||
\(782\) | −4.98528 | + | 13.6969i | −0.178273 | + | 0.489801i | ||||
\(783\) | 14.0926i | 0.503629i | ||||||||
\(784\) | 6.55745 | + | 2.38672i | 0.234195 | + | 0.0852399i | ||||
\(785\) | 12.0361 | + | 6.94903i | 0.429586 | + | 0.248021i | ||||
\(786\) | −0.268571 | + | 1.52314i | −0.00957960 | + | 0.0543286i | ||||
\(787\) | 4.71795 | + | 8.17173i | 0.168177 | + | 0.291291i | 0.937779 | − | 0.347233i | \(-0.112879\pi\) |
−0.769602 | + | 0.638524i | \(0.779545\pi\) | |||||||
\(788\) | 12.9525 | − | 22.4344i | 0.461414 | − | 0.799193i | ||||
\(789\) | 2.24550 | + | 1.88420i | 0.0799418 | + | 0.0670792i | ||||
\(790\) | 1.48931 | − | 0.262606i | 0.0529873 | − | 0.00934310i | ||||
\(791\) | −1.08476 | + | 0.626286i | −0.0385696 | + | 0.0222682i | ||||
\(792\) | 0.875603 | + | 2.40570i | 0.0311132 | + | 0.0854828i | ||||
\(793\) | −0.643830 | + | 0.234335i | −0.0228631 | + | 0.00832148i | ||||
\(794\) | 18.7858 | + | 3.31245i | 0.666685 | + | 0.117555i | ||||
\(795\) | −10.5244 | − | 12.5425i | −0.373263 | − | 0.444838i | ||||
\(796\) | 10.0107 | + | 11.9302i | 0.354819 | + | 0.422856i | ||||
\(797\) | −44.0733 | − | 7.77131i | −1.56116 | − | 0.275274i | −0.674701 | − | 0.738091i | \(-0.735728\pi\) |
−0.886454 | + | 0.462817i | \(0.846839\pi\) | |||||||
\(798\) | −1.75531 | + | 0.638879i | −0.0621372 | + | 0.0226161i | ||||
\(799\) | 9.95526 | + | 27.3519i | 0.352192 | + | 0.967639i | ||||
\(800\) | 3.77582 | − | 2.17997i | 0.133495 | − | 0.0770736i | ||||
\(801\) | −5.29986 | + | 0.934509i | −0.187261 | + | 0.0330192i | ||||
\(802\) | 18.9553 | + | 15.9054i | 0.669336 | + | 0.561640i | ||||
\(803\) | −2.72804 | + | 4.72510i | −0.0962704 | + | 0.166745i | ||||
\(804\) | 2.25471 | + | 3.90527i | 0.0795175 | + | 0.137728i | ||||
\(805\) | 0.0854663 | − | 0.484704i | 0.00301229 | − | 0.0170836i | ||||
\(806\) | 13.7292 | + | 7.92656i | 0.483591 | + | 0.279201i | ||||
\(807\) | −5.82538 | − | 2.12026i | −0.205063 | − | 0.0746368i | ||||
\(808\) | − | 17.0173i | − | 0.598667i | ||||||
\(809\) | −7.22920 | + | 19.8621i | −0.254165 | + | 0.698313i | 0.745335 | + | 0.666691i | \(0.232290\pi\) |
−0.999500 | + | 0.0316227i | \(0.989933\pi\) | |||||||
\(810\) | 1.43276 | + | 8.12556i | 0.0503419 | + | 0.285503i | ||||
\(811\) | 5.83069 | − | 4.89253i | 0.204743 | − | 0.171800i | −0.534651 | − | 0.845073i | \(-0.679557\pi\) |
0.739394 | + | 0.673273i | \(0.235112\pi\) | |||||||
\(812\) | −0.287752 | + | 0.342929i | −0.0100981 | + | 0.0120345i | ||||
\(813\) | 6.77210 | 0.237508 | ||||||||
\(814\) | −10.3582 | − | 27.3723i | −0.363056 | − | 0.959397i | ||||
\(815\) | 1.80900 | 0.0633666 | ||||||||
\(816\) | 4.21707 | − | 5.02571i | 0.147627 | − | 0.175935i | ||||
\(817\) | 41.9028 | − | 35.1606i | 1.46599 | − | 1.23011i | ||||
\(818\) | −4.27977 | − | 24.2718i | −0.149639 | − | 0.848643i | ||||
\(819\) | −0.0522359 | + | 0.143517i | −0.00182527 | + | 0.00501489i | ||||
\(820\) | − | 3.11828i | − | 0.108895i | ||||||
\(821\) | −5.77582 | − | 2.10223i | −0.201577 | − | 0.0733682i | 0.239258 | − | 0.970956i | \(-0.423096\pi\) |
−0.440836 | + | 0.897588i | \(0.645318\pi\) | |||||||
\(822\) | −10.9738 | − | 6.33571i | −0.382754 | − | 0.220983i | ||||
\(823\) | 4.84392 | − | 27.4712i | 0.168848 | − | 0.957587i | −0.776159 | − | 0.630538i | \(-0.782834\pi\) |
0.945007 | − | 0.327050i | \(-0.106054\pi\) | |||||||
\(824\) | 6.37342 | + | 11.0391i | 0.222029 | + | 0.384565i | ||||
\(825\) | −19.7123 | + | 34.1427i | −0.686295 | + | 1.18870i | ||||
\(826\) | −0.978661 | − | 0.821194i | −0.0340520 | − | 0.0285730i | ||||
\(827\) | −24.0641 | + | 4.24315i | −0.836791 | + | 0.147549i | −0.575593 | − | 0.817736i | \(-0.695229\pi\) |
−0.261198 | + | 0.965285i | \(0.584118\pi\) | |||||||
\(828\) | 1.92409 | − | 1.11087i | 0.0668666 | − | 0.0386055i | ||||
\(829\) | 16.1603 | + | 44.4002i | 0.561272 | + | 1.54208i | 0.817775 | + | 0.575538i | \(0.195207\pi\) |
−0.256503 | + | 0.966543i | \(0.582570\pi\) | |||||||
\(830\) | −7.44640 | + | 2.71027i | −0.258468 | + | 0.0940748i | ||||
\(831\) | −29.0359 | − | 5.11982i | −1.00725 | − | 0.177605i | ||||
\(832\) | 1.25227 | + | 1.49239i | 0.0434145 | + | 0.0517394i | ||||
\(833\) | 15.6583 | + | 18.6608i | 0.542528 | + | 0.646559i | ||||
\(834\) | −22.2170 | − | 3.91746i | −0.769313 | − | 0.135651i | ||||
\(835\) | −11.9956 | + | 4.36603i | −0.415124 | + | 0.151093i | ||||
\(836\) | −11.1012 | − | 30.5003i | −0.383943 | − | 1.05488i | ||||
\(837\) | 32.6860 | − | 18.8713i | 1.12979 | − | 0.652287i | ||||
\(838\) | 17.9994 | − | 3.17378i | 0.621780 | − | 0.109637i | ||||
\(839\) | −36.0502 | − | 30.2497i | −1.24459 | − | 1.04434i | −0.997151 | − | 0.0754333i | \(-0.975966\pi\) |
−0.247441 | − | 0.968903i | \(-0.579590\pi\) | |||||||
\(840\) | −0.110765 | + | 0.191850i | −0.00382174 | + | 0.00661945i | ||||
\(841\) | −9.88403 | − | 17.1196i | −0.340829 | − | 0.590333i | ||||
\(842\) | −6.52876 | + | 37.0264i | −0.224996 | + | 1.27601i | ||||
\(843\) | −8.28219 | − | 4.78173i | −0.285254 | − | 0.164691i | ||||
\(844\) | −21.7766 | − | 7.92603i | −0.749582 | − | 0.272825i | ||||
\(845\) | 7.36403i | 0.253330i | ||||||||
\(846\) | 1.51743 | − | 4.16911i | 0.0521704 | − | 0.143337i | ||||
\(847\) | 0.310838 | + | 1.76285i | 0.0106805 | + | 0.0605723i | ||||
\(848\) | −8.34178 | + | 6.99959i | −0.286458 | + | 0.240367i | ||||
\(849\) | −11.0711 | + | 13.1940i | −0.379958 | + | 0.452816i | ||||
\(850\) | 15.2198 | 0.522034 | ||||||||
\(851\) | −21.8328 | + | 12.9777i | −0.748419 | + | 0.444868i | ||||
\(852\) | −13.1243 | −0.449633 | ||||||||
\(853\) | 17.8441 | − | 21.2658i | 0.610971 | − | 0.728127i | −0.368519 | − | 0.929620i | \(-0.620135\pi\) |
0.979490 | + | 0.201493i | \(0.0645794\pi\) | |||||||
\(854\) | −0.0396931 | + | 0.0333064i | −0.00135827 | + | 0.00113972i | ||||
\(855\) | 0.498669 | + | 2.82809i | 0.0170541 | + | 0.0967187i | ||||
\(856\) | −4.86991 | + | 13.3800i | −0.166450 | + | 0.457318i | ||||
\(857\) | − | 23.8545i | − | 0.814853i | −0.913238 | − | 0.407426i | \(-0.866426\pi\) | ||
0.913238 | − | 0.407426i | \(-0.133574\pi\) | |||||||
\(858\) | −16.5540 | − | 6.02515i | −0.565143 | − | 0.205695i | ||||
\(859\) | −38.3629 | − | 22.1488i | −1.30893 | − | 0.755708i | −0.327008 | − | 0.945021i | \(-0.606041\pi\) |
−0.981917 | + | 0.189313i | \(0.939374\pi\) | |||||||
\(860\) | 1.12648 | − | 6.38857i | 0.0384126 | − | 0.217849i | ||||
\(861\) | −0.539628 | − | 0.934663i | −0.0183905 | − | 0.0318532i | ||||
\(862\) | 18.4386 | − | 31.9367i | 0.628023 | − | 1.08777i | ||||
\(863\) | 33.1007 | + | 27.7748i | 1.12676 | + | 0.945465i | 0.998926 | − | 0.0463308i | \(-0.0147528\pi\) |
0.127835 | + | 0.991795i | \(0.459197\pi\) | |||||||
\(864\) | 4.56769 | − | 0.805407i | 0.155396 | − | 0.0274005i | ||||
\(865\) | −2.13064 | + | 1.23013i | −0.0724440 | + | 0.0418256i | ||||
\(866\) | −3.72589 | − | 10.2368i | −0.126611 | − | 0.347861i | ||||
\(867\) | −8.50203 | + | 3.09449i | −0.288744 | + | 0.105094i | ||||
\(868\) | 1.18071 | + | 0.208190i | 0.0400758 | + | 0.00706644i | ||||
\(869\) | 5.84605 | + | 6.96705i | 0.198314 | + | 0.236341i | ||||
\(870\) | 2.93657 | + | 3.49967i | 0.0995591 | + | 0.118650i | ||||
\(871\) | −4.60347 | − | 0.811716i | −0.155983 | − | 0.0275040i | ||||
\(872\) | −18.5951 | + | 6.76808i | −0.629711 | + | 0.229196i | ||||
\(873\) | −1.06921 | − | 2.93763i | −0.0361872 | − | 0.0994236i | ||||
\(874\) | −24.3943 | + | 14.0840i | −0.825148 | + | 0.476399i | ||||
\(875\) | −1.08652 | + | 0.191584i | −0.0367312 | + | 0.00647671i | ||||
\(876\) | −1.63260 | − | 1.36991i | −0.0551603 | − | 0.0462850i | ||||
\(877\) | 20.2553 | − | 35.0832i | 0.683972 | − | 1.18467i | −0.289787 | − | 0.957091i | \(-0.593584\pi\) |
0.973759 | − | 0.227583i | \(-0.0730823\pi\) | |||||||
\(878\) | 9.34440 | + | 16.1850i | 0.315358 | + | 0.546217i | ||||
\(879\) | −8.26340 | + | 46.8641i | −0.278718 | + | 1.58069i | ||||
\(880\) | −3.33359 | − | 1.92465i | −0.112375 | − | 0.0648800i | ||||
\(881\) | −22.9486 | − | 8.35260i | −0.773157 | − | 0.281406i | −0.0748407 | − | 0.997196i | \(-0.523845\pi\) |
−0.698316 | + | 0.715789i | \(0.746067\pi\) | |||||||
\(882\) | − | 3.71307i | − | 0.125026i | ||||||
\(883\) | 8.25110 | − | 22.6697i | 0.277671 | − | 0.762896i | −0.719954 | − | 0.694022i | \(-0.755837\pi\) |
0.997625 | − | 0.0688742i | \(-0.0219407\pi\) | |||||||
\(884\) | 1.18094 | + | 6.69743i | 0.0397192 | + | 0.225259i | ||||
\(885\) | −9.98745 | + | 8.38046i | −0.335724 | + | 0.281706i | ||||
\(886\) | −11.6768 | + | 13.9159i | −0.392291 | + | 0.467514i | ||||
\(887\) | −4.81523 | −0.161679 | −0.0808397 | − | 0.996727i | \(-0.525760\pi\) | ||||
−0.0808397 | + | 0.996727i | \(0.525760\pi\) | |||||||
\(888\) | 11.2321 | − | 2.12794i | 0.376923 | − | 0.0714091i | ||||
\(889\) | 0.815153 | 0.0273394 | ||||||||
\(890\) | 5.20124 | − | 6.19860i | 0.174346 | − | 0.207777i | ||||
\(891\) | −38.0116 | + | 31.8955i | −1.27344 | + | 1.06854i | ||||
\(892\) | −1.72119 | − | 9.76137i | −0.0576298 | − | 0.326835i | ||||
\(893\) | −19.2385 | + | 52.8574i | −0.643793 | + | 1.76881i | ||||
\(894\) | − | 17.3158i | − | 0.579127i | ||||||
\(895\) | 7.85369 | + | 2.85851i | 0.262520 | + | 0.0955494i | ||||
\(896\) | 0.127595 | + | 0.0736672i | 0.00426266 | + | 0.00246105i | ||||
\(897\) | −2.65476 | + | 15.0559i | −0.0886398 | + | 0.502701i | ||||
\(898\) | −7.78469 | − | 13.4835i | −0.259778 | − | 0.449949i | ||||
\(899\) | 12.3624 | − | 21.4123i | 0.412309 | − | 0.714139i | ||||
\(900\) | −1.77713 | − | 1.49119i | −0.0592376 | − | 0.0497062i | ||||
\(901\) | −37.4355 | + | 6.60089i | −1.24716 | + | 0.219908i | ||||
\(902\) | 16.2408 | − | 9.37660i | 0.540758 | − | 0.312207i | ||||
\(903\) | −0.767916 | − | 2.10983i | −0.0255546 | − | 0.0702108i | ||||
\(904\) | 7.98885 | − | 2.90770i | 0.265705 | − | 0.0967088i | ||||
\(905\) | 7.09587 | + | 1.25119i | 0.235875 | + | 0.0415911i | ||||
\(906\) | 14.2360 | + | 16.9658i | 0.472958 | + | 0.563650i | ||||
\(907\) | −3.00851 | − | 3.58540i | −0.0998959 | − | 0.119051i | 0.713780 | − | 0.700370i | \(-0.246982\pi\) |
−0.813676 | + | 0.581318i | \(0.802537\pi\) | |||||||
\(908\) | 1.96999 | + | 0.347363i | 0.0653765 | + | 0.0115276i | ||||
\(909\) | −8.50866 | + | 3.09690i | −0.282214 | + | 0.102718i | ||||
\(910\) | −0.0785409 | − | 0.215789i | −0.00260360 | − | 0.00715334i | ||||
\(911\) | −7.63660 | + | 4.40899i | −0.253012 | + | 0.146077i | −0.621143 | − | 0.783698i | \(-0.713331\pi\) |
0.368131 | + | 0.929774i | \(0.379998\pi\) | |||||||
\(912\) | 12.4857 | − | 2.20157i | 0.413444 | − | 0.0729014i | ||||
\(913\) | −36.5069 | − | 30.6330i | −1.20820 | − | 1.01380i | ||||
\(914\) | 5.51212 | − | 9.54728i | 0.182325 | − | 0.315796i | ||||
\(915\) | 0.264395 | + | 0.457945i | 0.00874062 | + | 0.0151392i | ||||
\(916\) | 1.55285 | − | 8.80664i | 0.0513075 | − | 0.290980i | ||||
\(917\) | −0.105004 | − | 0.0606243i | −0.00346755 | − | 0.00200199i | ||||
\(918\) | 15.2145 | + | 5.53764i | 0.502155 | + | 0.182769i | ||||
\(919\) | − | 8.95913i | − | 0.295535i | −0.989022 | − | 0.147767i | \(-0.952791\pi\) | ||
0.989022 | − | 0.147767i | \(-0.0472087\pi\) | |||||||
\(920\) | −1.14254 | + | 3.13911i | −0.0376685 | + | 0.103493i | ||||
\(921\) | −2.84112 | − | 16.1128i | −0.0936179 | − | 0.530934i | ||||
\(922\) | 16.3531 | − | 13.7219i | 0.538562 | − | 0.451907i | ||||
\(923\) | 8.74497 | − | 10.4218i | 0.287844 | − | 0.343039i | ||||
\(924\) | −1.33227 | −0.0438284 | ||||||||
\(925\) | 20.5307 | + | 16.7876i | 0.675046 | + | 0.551974i | ||||
\(926\) | −33.1910 | −1.09073 | ||||||||
\(927\) | 4.35968 | − | 5.19566i | 0.143191 | − | 0.170648i | ||||
\(928\) | 2.32756 | − | 1.95305i | 0.0764058 | − | 0.0641121i | ||||
\(929\) | 6.26803 | + | 35.5478i | 0.205647 | + | 1.16628i | 0.896418 | + | 0.443210i | \(0.146160\pi\) |
−0.690770 | + | 0.723074i | \(0.742729\pi\) | |||||||
\(930\) | 4.18470 | − | 11.4974i | 0.137222 | − | 0.377013i | ||||
\(931\) | 47.0756i | 1.54284i | ||||||||
\(932\) | −20.4242 | − | 7.43379i | −0.669016 | − | 0.243502i | ||||
\(933\) | 9.45500 | + | 5.45885i | 0.309543 | + | 0.178715i | ||||
\(934\) | −2.57215 | + | 14.5874i | −0.0841633 | + | 0.477314i | ||||
\(935\) | −6.71861 | − | 11.6370i | −0.219722 | − | 0.380570i | ||||
\(936\) | 0.518302 | − | 0.897726i | 0.0169412 | − | 0.0293431i | ||||
\(937\) | −5.84891 | − | 4.90782i | −0.191076 | − | 0.160331i | 0.542231 | − | 0.840229i | \(-0.317580\pi\) |
−0.733307 | + | 0.679898i | \(0.762024\pi\) | |||||||
\(938\) | −0.348145 | + | 0.0613874i | −0.0113674 | + | 0.00200437i | ||||
\(939\) | −12.8018 | + | 7.39110i | −0.417770 | + | 0.241199i | ||||
\(940\) | 2.28158 | + | 6.26859i | 0.0744169 | + | 0.204459i | ||||
\(941\) | 42.2064 | − | 15.3619i | 1.37589 | − | 0.500782i | 0.454959 | − | 0.890512i | \(-0.349654\pi\) |
0.920929 | + | 0.389730i | \(0.127432\pi\) | |||||||
\(942\) | −32.1522 | − | 5.66930i | −1.04758 | − | 0.184716i | ||||
\(943\) | −10.4612 | − | 12.4672i | −0.340664 | − | 0.405987i | ||||
\(944\) | 5.57367 | + | 6.64244i | 0.181408 | + | 0.216193i | ||||
\(945\) | −0.538408 | − | 0.0949359i | −0.0175144 | − | 0.00308827i | ||||
\(946\) | 36.6605 | − | 13.3433i | 1.19194 | − | 0.433830i | ||||
\(947\) | 2.43767 | + | 6.69744i | 0.0792136 | + | 0.217638i | 0.972977 | − | 0.230900i | \(-0.0741671\pi\) |
−0.893764 | + | 0.448538i | \(0.851945\pi\) | |||||||
\(948\) | −3.07659 | + | 1.77627i | −0.0999231 | + | 0.0576906i | ||||
\(949\) | 2.17565 | − | 0.383626i | 0.0706247 | − | 0.0124530i | ||||
\(950\) | 22.5311 | + | 18.9058i | 0.731004 | + | 0.613385i | ||||
\(951\) | 5.26133 | − | 9.11290i | 0.170610 | − | 0.295506i | ||||
\(952\) | 0.257159 | + | 0.445413i | 0.00833457 | + | 0.0144359i | ||||
\(953\) | 1.91509 | − | 10.8610i | 0.0620358 | − | 0.351823i | −0.937951 | − | 0.346767i | \(-0.887280\pi\) |
0.999987 | − | 0.00505584i | \(-0.00160933\pi\) | |||||||
\(954\) | 5.01787 | + | 2.89707i | 0.162460 | + | 0.0937961i | ||||
\(955\) | 0.755929 | + | 0.275136i | 0.0244613 | + | 0.00890318i | ||||
\(956\) | 7.91730i | 0.256064i | ||||||||
\(957\) | −9.39691 | + | 25.8178i | −0.303759 | + | 0.834571i | ||||
\(958\) | 1.56380 | + | 8.86872i | 0.0505239 | + | 0.286535i | ||||
\(959\) | 0.760970 | − | 0.638530i | 0.0245730 | − | 0.0206192i | ||||
\(960\) | 0.966482 | − | 1.15181i | 0.0311931 | − | 0.0371745i | ||||
\(961\) | −35.2173 | −1.13604 | ||||||||
\(962\) | −5.79434 | + | 10.3371i | −0.186817 | + | 0.333281i | ||||
\(963\) | 7.57623 | 0.244141 | ||||||||
\(964\) | 19.1413 | − | 22.8117i | 0.616499 | − | 0.734715i | ||||
\(965\) | −6.73861 | + | 5.65436i | −0.216923 | + | 0.182020i | ||||
\(966\) | 0.200771 | + | 1.13863i | 0.00645969 | + | 0.0366347i | ||||
\(967\) | 9.23888 | − | 25.3836i | 0.297102 | − | 0.816282i | −0.697879 | − | 0.716216i | \(-0.745872\pi\) |
0.994981 | − | 0.100066i | \(-0.0319053\pi\) | |||||||
\(968\) | − | 12.1496i | − | 0.390501i | ||||||
\(969\) | 41.5888 | + | 15.1371i | 1.33602 | + | 0.486273i | ||||
\(970\) | 4.07069 | + | 2.35021i | 0.130702 | + | 0.0754608i | ||||
\(971\) | −8.75426 | + | 49.6479i | −0.280937 | + | 1.59328i | 0.438509 | + | 0.898727i | \(0.355507\pi\) |
−0.719446 | + | 0.694548i | \(0.755604\pi\) | |||||||
\(972\) | −2.73396 | − | 4.73535i | −0.0876917 | − | 0.151886i | ||||
\(973\) | 0.884287 | − | 1.53163i | 0.0283489 | − | 0.0491018i | ||||
\(974\) | 2.59840 | + | 2.18032i | 0.0832582 | + | 0.0698620i | ||||
\(975\) | 15.7209 | − | 2.77201i | 0.503471 | − | 0.0887755i | ||||
\(976\) | 0.304570 | − | 0.175844i | 0.00974905 | − | 0.00562862i | ||||
\(977\) | 6.82658 | + | 18.7559i | 0.218402 | + | 0.600054i | 0.999710 | − | 0.0240919i | \(-0.00766943\pi\) |
−0.781308 | + | 0.624146i | \(0.785447\pi\) | |||||||
\(978\) | −3.99329 | + | 1.45344i | −0.127691 | + | 0.0464758i | ||||
\(979\) | 47.9238 | + | 8.45027i | 1.53165 | + | 0.270072i | ||||
\(980\) | 3.58862 | + | 4.27675i | 0.114634 | + | 0.136616i | ||||
\(981\) | 6.76808 | + | 8.06588i | 0.216088 | + | 0.257524i | ||||
\(982\) | −20.4193 | − | 3.60047i | −0.651605 | − | 0.114896i | ||||
\(983\) | 10.0028 | − | 3.64071i | 0.319039 | − | 0.116121i | −0.177537 | − | 0.984114i | \(-0.556813\pi\) |
0.496576 | + | 0.867994i | \(0.334591\pi\) | |||||||
\(984\) | 2.50537 | + | 6.88345i | 0.0798683 | + | 0.219436i | ||||
\(985\) | 17.9484 | − | 10.3625i | 0.571883 | − | 0.330177i | ||||
\(986\) | 10.4454 | − | 1.84181i | 0.332650 | − | 0.0586551i | ||||
\(987\) | 1.76867 | + | 1.48409i | 0.0562975 | + | 0.0472392i | ||||
\(988\) | −6.57122 | + | 11.3817i | −0.209058 | + | 0.362100i | ||||
\(989\) | −16.9286 | − | 29.3212i | −0.538299 | − | 0.932361i | ||||
\(990\) | −0.355661 | + | 2.01705i | −0.0113037 | + | 0.0641062i | ||||
\(991\) | −28.8161 | − | 16.6370i | −0.915375 | − | 0.528492i | −0.0332181 | − | 0.999448i | \(-0.510576\pi\) |
−0.882156 | + | 0.470956i | \(0.843909\pi\) | |||||||
\(992\) | −7.64666 | − | 2.78316i | −0.242782 | − | 0.0883653i | ||||
\(993\) | 34.1870i | 1.08489i | ||||||||
\(994\) | 0.351899 | − | 0.966834i | 0.0111616 | − | 0.0306661i | ||||
\(995\) | 2.16360 | + | 12.2704i | 0.0685906 | + | 0.388997i | ||||
\(996\) | 14.2600 | − | 11.9656i | 0.451846 | − | 0.379144i | ||||
\(997\) | 8.80737 | − | 10.4962i | 0.278932 | − | 0.332418i | −0.608330 | − | 0.793684i | \(-0.708160\pi\) |
0.887262 | + | 0.461266i | \(0.152605\pi\) | |||||||
\(998\) | −24.6821 | −0.781297 | ||||||||
\(999\) | 14.4156 | + | 24.2519i | 0.456088 | + | 0.767295i |
(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 | 74.2.h.a.3.1 | ✓ | 12 | |
3.2 | odd | 2 | 666.2.bj.c.595.2 | 12 | |||
4.3 | odd | 2 | 592.2.bq.b.225.2 | 12 | |||
37.5 | odd | 36 | 2738.2.a.s.1.2 | 6 | |||
37.25 | even | 18 | inner | 74.2.h.a.25.1 | yes | 12 | |
37.32 | odd | 36 | 2738.2.a.r.1.1 | 6 | |||
111.62 | odd | 18 | 666.2.bj.c.469.2 | 12 | |||
148.99 | odd | 18 | 592.2.bq.b.321.2 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.2.h.a.3.1 | ✓ | 12 | 1.1 | even | 1 | trivial | |
74.2.h.a.25.1 | yes | 12 | 37.25 | even | 18 | inner | |
592.2.bq.b.225.2 | 12 | 4.3 | odd | 2 | |||
592.2.bq.b.321.2 | 12 | 148.99 | odd | 18 | |||
666.2.bj.c.469.2 | 12 | 111.62 | odd | 18 | |||
666.2.bj.c.595.2 | 12 | 3.2 | odd | 2 | |||
2738.2.a.r.1.1 | 6 | 37.32 | odd | 36 | |||
2738.2.a.s.1.2 | 6 | 37.5 | odd | 36 |