Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [187,2,Mod(6,187)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(187, base_ring=CyclotomicField(80))
chi = DirichletCharacter(H, H._module([72, 75]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("187.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 187 = 11 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 187.t (of order \(80\), degree \(32\), 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: | \(1.49320251780\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{80})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{80}]$ |
Embedding invariants
Embedding label | 6.2 | ||
Character | \(\chi\) | \(=\) | 187.6 |
Dual form | 187.2.t.a.156.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/187\mathbb{Z}\right)^\times\).
\(n\) | \(35\) | \(122\) |
\(\chi(n)\) | \(e\left(\frac{9}{10}\right)\) | \(e\left(\frac{15}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.59078 | − | 0.203899i | −1.83196 | − | 0.144178i | −0.885011 | − | 0.465570i | \(-0.845849\pi\) |
−0.946946 | + | 0.321392i | \(0.895849\pi\) | |||||||
\(3\) | −2.26719 | − | 1.04519i | −1.30896 | − | 0.603441i | −0.364240 | − | 0.931305i | \(-0.618671\pi\) |
−0.944725 | + | 0.327864i | \(0.893671\pi\) | |||||||
\(4\) | 4.69518 | + | 0.743644i | 2.34759 | + | 0.371822i | ||||
\(5\) | −1.25029 | − | 1.58598i | −0.559146 | − | 0.709274i | 0.421109 | − | 0.907010i | \(-0.361641\pi\) |
−0.980255 | + | 0.197736i | \(0.936641\pi\) | |||||||
\(6\) | 5.66068 | + | 3.17014i | 2.31096 | + | 1.29420i | ||||
\(7\) | 1.40072 | − | 3.79682i | 0.529423 | − | 1.43506i | −0.339732 | − | 0.940522i | \(-0.610336\pi\) |
0.869154 | − | 0.494541i | \(-0.164664\pi\) | |||||||
\(8\) | −6.95859 | − | 1.67061i | −2.46023 | − | 0.590650i | ||||
\(9\) | 2.09940 | + | 2.45808i | 0.699799 | + | 0.819360i | ||||
\(10\) | 2.91584 | + | 4.36387i | 0.922071 | + | 1.37998i | ||||
\(11\) | 1.59368 | − | 2.90864i | 0.480512 | − | 0.876988i | ||||
\(12\) | −9.86764 | − | 6.59335i | −2.84854 | − | 1.90334i | ||||
\(13\) | −0.356279 | + | 0.699238i | −0.0988141 | + | 0.193934i | −0.935121 | − | 0.354327i | \(-0.884710\pi\) |
0.836307 | + | 0.548261i | \(0.184710\pi\) | |||||||
\(14\) | −4.40313 | + | 9.55112i | −1.17678 | + | 2.55264i | ||||
\(15\) | 1.17699 | + | 4.90252i | 0.303898 | + | 1.26583i | ||||
\(16\) | 8.64543 | + | 2.80907i | 2.16136 | + | 0.702268i | ||||
\(17\) | −4.02205 | + | 0.907267i | −0.975490 | + | 0.220045i | ||||
\(18\) | −4.93788 | − | 6.79641i | −1.16387 | − | 1.60193i | ||||
\(19\) | −6.06183 | + | 3.71470i | −1.39068 | + | 0.852209i | −0.997729 | − | 0.0673503i | \(-0.978545\pi\) |
−0.392950 | + | 0.919560i | \(0.628545\pi\) | |||||||
\(20\) | −4.69093 | − | 8.37626i | −1.04892 | − | 1.87299i | ||||
\(21\) | −7.14411 | + | 7.14411i | −1.55897 | + | 1.55897i | ||||
\(22\) | −4.72193 | + | 7.21070i | −1.00672 | + | 1.53733i | ||||
\(23\) | 0.479004 | + | 0.0952799i | 0.0998793 | + | 0.0198672i | 0.244777 | − | 0.969579i | \(-0.421285\pi\) |
−0.144898 | + | 0.989447i | \(0.546285\pi\) | |||||||
\(24\) | 14.0304 | + | 11.0606i | 2.86393 | + | 2.25774i | ||||
\(25\) | 0.215104 | − | 0.895971i | 0.0430207 | − | 0.179194i | ||||
\(26\) | 1.06561 | − | 1.73893i | 0.208984 | − | 0.341031i | ||||
\(27\) | −0.157615 | − | 0.558860i | −0.0303330 | − | 0.107553i | ||||
\(28\) | 9.40013 | − | 16.7851i | 1.77646 | − | 3.17209i | ||||
\(29\) | 0.0487034 | + | 1.23958i | 0.00904399 | + | 0.230185i | 0.997101 | + | 0.0760940i | \(0.0242449\pi\) |
−0.988057 | + | 0.154091i | \(0.950755\pi\) | |||||||
\(30\) | −2.04971 | − | 12.9413i | −0.374224 | − | 2.36276i | ||||
\(31\) | 5.65211 | − | 3.16533i | 1.01515 | − | 0.568511i | 0.110146 | − | 0.993915i | \(-0.464868\pi\) |
0.905003 | + | 0.425405i | \(0.139868\pi\) | |||||||
\(32\) | −8.60249 | − | 3.56327i | −1.52072 | − | 0.629903i | ||||
\(33\) | −6.65326 | + | 4.92876i | −1.15818 | + | 0.857986i | ||||
\(34\) | 10.6052 | − | 1.53044i | 1.81878 | − | 0.262468i | ||||
\(35\) | −7.77301 | + | 2.52560i | −1.31388 | + | 0.426905i | ||||
\(36\) | 8.02913 | + | 13.1023i | 1.33819 | + | 2.18372i | ||||
\(37\) | −3.02364 | + | 3.27095i | −0.497083 | + | 0.537741i | −0.931870 | − | 0.362792i | \(-0.881824\pi\) |
0.434787 | + | 0.900533i | \(0.356824\pi\) | |||||||
\(38\) | 16.4623 | − | 8.38795i | 2.67054 | − | 1.36071i | ||||
\(39\) | 1.53859 | − | 1.21293i | 0.246372 | − | 0.194224i | ||||
\(40\) | 6.05069 | + | 13.1250i | 0.956698 | + | 2.07524i | ||||
\(41\) | −3.50039 | − | 0.137531i | −0.546669 | − | 0.0214787i | −0.235572 | − | 0.971857i | \(-0.575696\pi\) |
−0.311097 | + | 0.950378i | \(0.600696\pi\) | |||||||
\(42\) | 19.9655 | − | 17.0521i | 3.08074 | − | 2.63120i | ||||
\(43\) | −1.73053 | − | 4.17788i | −0.263904 | − | 0.637121i | 0.735269 | − | 0.677775i | \(-0.237056\pi\) |
−0.999173 | + | 0.0406545i | \(0.987056\pi\) | |||||||
\(44\) | 9.64560 | − | 12.4715i | 1.45413 | − | 1.88015i | ||||
\(45\) | 1.27362 | − | 6.40292i | 0.189860 | − | 0.954491i | ||||
\(46\) | −1.22157 | − | 0.344518i | −0.180110 | − | 0.0507963i | ||||
\(47\) | 3.97659 | − | 0.629831i | 0.580046 | − | 0.0918703i | 0.140485 | − | 0.990083i | \(-0.455134\pi\) |
0.439561 | + | 0.898213i | \(0.355134\pi\) | |||||||
\(48\) | −16.6649 | − | 15.4048i | −2.40536 | − | 2.22350i | ||||
\(49\) | −7.13099 | − | 6.09044i | −1.01871 | − | 0.870063i | ||||
\(50\) | −0.739973 | + | 2.27740i | −0.104648 | + | 0.322073i | ||||
\(51\) | 10.0670 | + | 2.14686i | 1.40967 | + | 0.300620i | ||||
\(52\) | −2.19278 | + | 3.01810i | −0.304084 | + | 0.418536i | ||||
\(53\) | −0.602223 | + | 7.65197i | −0.0827217 | + | 1.05108i | 0.805783 | + | 0.592211i | \(0.201745\pi\) |
−0.888505 | + | 0.458868i | \(0.848255\pi\) | |||||||
\(54\) | 0.294394 | + | 1.48002i | 0.0400620 | + | 0.201405i | ||||
\(55\) | −6.60562 | + | 1.10910i | −0.890701 | + | 0.149551i | ||||
\(56\) | −16.0900 | + | 24.0805i | −2.15012 | + | 3.21789i | ||||
\(57\) | 17.6259 | − | 2.08616i | 2.33461 | − | 0.276319i | ||||
\(58\) | 0.126570 | − | 3.22142i | 0.0166194 | − | 0.422993i | ||||
\(59\) | 6.90344 | + | 4.23044i | 0.898752 | + | 0.550756i | 0.893416 | − | 0.449230i | \(-0.148302\pi\) |
0.00533565 | + | 0.999986i | \(0.498302\pi\) | |||||||
\(60\) | 1.88046 | + | 23.8935i | 0.242766 | + | 3.08464i | ||||
\(61\) | −14.3241 | + | 4.03983i | −1.83402 | + | 0.517247i | −0.999434 | − | 0.0336337i | \(-0.989292\pi\) |
−0.834584 | + | 0.550880i | \(0.814292\pi\) | |||||||
\(62\) | −15.2888 | + | 7.04822i | −1.94168 | + | 0.895125i | ||||
\(63\) | 12.2736 | − | 4.52796i | 1.54632 | − | 0.570469i | ||||
\(64\) | 5.36149 | + | 2.73182i | 0.670186 | + | 0.341477i | ||||
\(65\) | 1.55443 | − | 0.309196i | 0.192804 | − | 0.0383510i | ||||
\(66\) | 18.2421 | − | 11.4127i | 2.24545 | − | 1.40481i | ||||
\(67\) | − | 2.26171i | − | 0.276312i | −0.990410 | − | 0.138156i | \(-0.955882\pi\) | ||
0.990410 | − | 0.138156i | \(-0.0441175\pi\) | |||||||
\(68\) | −19.5589 | + | 1.26881i | −2.37187 | + | 0.153866i | ||||
\(69\) | −0.986410 | − | 0.716669i | −0.118750 | − | 0.0862768i | ||||
\(70\) | 20.6531 | − | 4.95837i | 2.46852 | − | 0.592639i | ||||
\(71\) | 1.08284 | − | 9.14886i | 0.128509 | − | 1.08577i | −0.767286 | − | 0.641305i | \(-0.778393\pi\) |
0.895796 | − | 0.444466i | \(-0.146607\pi\) | |||||||
\(72\) | −10.5024 | − | 20.6120i | −1.23771 | − | 2.42915i | ||||
\(73\) | 3.49882 | − | 0.137469i | 0.409506 | − | 0.0160895i | 0.166326 | − | 0.986071i | \(-0.446809\pi\) |
0.243180 | + | 0.969981i | \(0.421809\pi\) | |||||||
\(74\) | 8.50052 | − | 7.85780i | 0.988165 | − | 0.913451i | ||||
\(75\) | −1.42414 | + | 1.80651i | −0.164446 | + | 0.208598i | ||||
\(76\) | −31.2238 | + | 12.9333i | −3.58162 | + | 1.48356i | ||||
\(77\) | −8.81129 | − | 10.1251i | −1.00414 | − | 1.15386i | ||||
\(78\) | −4.23346 | + | 2.82871i | −0.479345 | + | 0.320288i | ||||
\(79\) | 1.24163 | + | 10.4904i | 0.139694 | + | 1.18027i | 0.868550 | + | 0.495601i | \(0.165052\pi\) |
−0.728857 | + | 0.684666i | \(0.759948\pi\) | |||||||
\(80\) | −6.35415 | − | 17.2237i | −0.710415 | − | 1.92567i | ||||
\(81\) | 1.29029 | − | 8.14659i | 0.143366 | − | 0.905177i | ||||
\(82\) | 9.04069 | + | 1.07004i | 0.998378 | + | 0.118166i | ||||
\(83\) | −0.710210 | + | 0.831549i | −0.0779556 | + | 0.0912743i | −0.798013 | − | 0.602640i | \(-0.794115\pi\) |
0.720057 | + | 0.693914i | \(0.244115\pi\) | |||||||
\(84\) | −38.8556 | + | 28.2302i | −4.23949 | + | 3.08017i | ||||
\(85\) | 6.46763 | + | 5.24456i | 0.701513 | + | 0.568852i | ||||
\(86\) | 3.63157 | + | 11.1768i | 0.391602 | + | 1.20523i | ||||
\(87\) | 1.18518 | − | 2.86128i | 0.127065 | − | 0.306762i | ||||
\(88\) | −15.9489 | + | 17.5776i | −1.70016 | + | 1.87378i | ||||
\(89\) | −9.06828 | − | 9.06828i | −0.961236 | − | 0.961236i | 0.0380406 | − | 0.999276i | \(-0.487888\pi\) |
−0.999276 | + | 0.0380406i | \(0.987888\pi\) | |||||||
\(90\) | −4.60522 | + | 16.3289i | −0.485433 | + | 1.72121i | ||||
\(91\) | 2.15583 | + | 2.33217i | 0.225993 | + | 0.244477i | ||||
\(92\) | 2.17816 | + | 0.803566i | 0.227089 | + | 0.0837775i | ||||
\(93\) | −16.1228 | + | 1.26889i | −1.67186 | + | 0.131578i | ||||
\(94\) | −10.4309 | + | 0.820930i | −1.07587 | + | 0.0846724i | ||||
\(95\) | 13.4705 | + | 4.96953i | 1.38204 | + | 0.509863i | ||||
\(96\) | 15.7792 | + | 17.0699i | 1.61046 | + | 1.74219i | ||||
\(97\) | 0.856370 | − | 3.03646i | 0.0869512 | − | 0.308306i | −0.906554 | − | 0.422089i | \(-0.861297\pi\) |
0.993506 | + | 0.113783i | \(0.0362969\pi\) | |||||||
\(98\) | 17.2330 | + | 17.2330i | 1.74079 | + | 1.74079i | ||||
\(99\) | 10.4954 | − | 2.18901i | 1.05483 | − | 0.220004i | ||||
\(100\) | 1.67623 | − | 4.04679i | 0.167623 | − | 0.404679i | ||||
\(101\) | 0.229284 | + | 0.705664i | 0.0228146 | + | 0.0702162i | 0.961816 | − | 0.273698i | \(-0.0882470\pi\) |
−0.939001 | + | 0.343914i | \(0.888247\pi\) | |||||||
\(102\) | −25.6437 | − | 7.61468i | −2.53910 | − | 0.753966i | ||||
\(103\) | −2.90210 | + | 2.10850i | −0.285952 | + | 0.207757i | −0.721510 | − | 0.692405i | \(-0.756551\pi\) |
0.435557 | + | 0.900161i | \(0.356551\pi\) | |||||||
\(104\) | 3.64735 | − | 4.27050i | 0.357652 | − | 0.418757i | ||||
\(105\) | 20.2626 | + | 2.39824i | 1.97743 | + | 0.234044i | ||||
\(106\) | 3.12045 | − | 19.7018i | 0.303085 | − | 1.91361i | ||||
\(107\) | −2.23297 | − | 6.05272i | −0.215869 | − | 0.585138i | 0.783472 | − | 0.621427i | \(-0.213447\pi\) |
−0.999341 | + | 0.0362882i | \(0.988447\pi\) | |||||||
\(108\) | −0.324438 | − | 2.74116i | −0.0312190 | − | 0.263768i | ||||
\(109\) | 9.76063 | − | 6.52184i | 0.934899 | − | 0.624679i | 0.00799062 | − | 0.999968i | \(-0.497456\pi\) |
0.926908 | + | 0.375289i | \(0.122456\pi\) | |||||||
\(110\) | 17.3398 | − | 1.52655i | 1.65329 | − | 0.145551i | ||||
\(111\) | 10.2739 | − | 4.25561i | 0.975159 | − | 0.403924i | ||||
\(112\) | 22.7754 | − | 28.8904i | 2.15207 | − | 2.72989i | ||||
\(113\) | 2.24369 | − | 2.07405i | 0.211069 | − | 0.195110i | −0.566220 | − | 0.824254i | \(-0.691595\pi\) |
0.777288 | + | 0.629145i | \(0.216595\pi\) | |||||||
\(114\) | −46.0902 | + | 1.81089i | −4.31674 | + | 0.169605i | ||||
\(115\) | −0.447782 | − | 0.878821i | −0.0417559 | − | 0.0819505i | ||||
\(116\) | −0.693138 | + | 5.85630i | −0.0643563 | + | 0.543743i | ||||
\(117\) | −2.46675 | + | 0.592215i | −0.228051 | + | 0.0547503i | ||||
\(118\) | −17.0227 | − | 12.3677i | −1.56707 | − | 1.13854i | ||||
\(119\) | −2.18904 | + | 16.5418i | −0.200669 | + | 1.51639i | ||||
\(120\) | − | 36.0809i | − | 3.29372i | ||||||
\(121\) | −5.92039 | − | 9.27087i | −0.538217 | − | 0.842806i | ||||
\(122\) | 37.9344 | − | 7.54562i | 3.43442 | − | 0.683148i | ||||
\(123\) | 7.79231 | + | 3.97038i | 0.702609 | + | 0.357997i | ||||
\(124\) | 28.8916 | − | 10.6587i | 2.59454 | − | 0.957177i | ||||
\(125\) | −10.8601 | + | 5.00659i | −0.971359 | + | 0.447803i | ||||
\(126\) | −32.7213 | + | 9.22837i | −2.91505 | + | 0.822128i | ||||
\(127\) | −0.334164 | − | 4.24596i | −0.0296523 | − | 0.376768i | −0.993783 | − | 0.111339i | \(-0.964486\pi\) |
0.964130 | − | 0.265430i | \(-0.0855138\pi\) | |||||||
\(128\) | 2.54490 | + | 1.55952i | 0.224939 | + | 0.137843i | ||||
\(129\) | −0.443224 | + | 11.2808i | −0.0390237 | + | 0.993219i | ||||
\(130\) | −4.09023 | + | 0.484111i | −0.358737 | + | 0.0424594i | ||||
\(131\) | 10.5334 | − | 15.7643i | 0.920306 | − | 1.37734i | −0.00576369 | − | 0.999983i | \(-0.501835\pi\) |
0.926070 | − | 0.377352i | \(-0.123165\pi\) | |||||||
\(132\) | −34.9035 | + | 18.1938i | −3.03796 | + | 1.58356i | ||||
\(133\) | 5.61310 | + | 28.2189i | 0.486717 | + | 2.44689i | ||||
\(134\) | −0.461160 | + | 5.85959i | −0.0398381 | + | 0.506192i | ||||
\(135\) | −0.689279 | + | 0.948711i | −0.0593237 | + | 0.0816521i | ||||
\(136\) | 29.5035 | + | 0.405972i | 2.52990 | + | 0.0348118i | ||||
\(137\) | −3.00629 | + | 9.25242i | −0.256845 | + | 0.790488i | 0.736615 | + | 0.676312i | \(0.236423\pi\) |
−0.993461 | + | 0.114176i | \(0.963577\pi\) | |||||||
\(138\) | 2.40944 | + | 2.05786i | 0.205105 | + | 0.175177i | ||||
\(139\) | −7.78614 | − | 7.19743i | −0.660411 | − | 0.610478i | 0.276094 | − | 0.961131i | \(-0.410960\pi\) |
−0.936506 | + | 0.350653i | \(0.885960\pi\) | |||||||
\(140\) | −38.3738 | + | 6.07782i | −3.24318 | + | 0.513670i | ||||
\(141\) | −9.67400 | − | 2.72835i | −0.814698 | − | 0.229769i | ||||
\(142\) | −4.67084 | + | 23.4819i | −0.391968 | + | 1.97056i | ||||
\(143\) | 1.46604 | + | 2.15065i | 0.122596 | + | 0.179846i | ||||
\(144\) | 11.2453 | + | 27.1485i | 0.937107 | + | 2.26238i | ||||
\(145\) | 1.90507 | − | 1.62708i | 0.158207 | − | 0.135122i | ||||
\(146\) | −9.09271 | − | 0.357253i | −0.752518 | − | 0.0295665i | ||||
\(147\) | 9.80166 | + | 21.2614i | 0.808427 | + | 1.75361i | ||||
\(148\) | −16.6290 | + | 13.1092i | −1.36689 | + | 1.07757i | ||||
\(149\) | 6.91388 | − | 3.52280i | 0.566407 | − | 0.288599i | −0.147244 | − | 0.989100i | \(-0.547040\pi\) |
0.713651 | + | 0.700501i | \(0.247040\pi\) | |||||||
\(150\) | 4.05798 | − | 4.38990i | 0.331333 | − | 0.358434i | ||||
\(151\) | −10.3254 | − | 16.8496i | −0.840271 | − | 1.37120i | −0.927037 | − | 0.374969i | \(-0.877653\pi\) |
0.0867660 | − | 0.996229i | \(-0.472347\pi\) | |||||||
\(152\) | 48.3876 | − | 15.7221i | 3.92475 | − | 1.27523i | ||||
\(153\) | −10.6740 | − | 7.98180i | −0.862943 | − | 0.645290i | ||||
\(154\) | 20.7636 | + | 28.0285i | 1.67318 | + | 2.25860i | ||||
\(155\) | −12.0869 | − | 5.00658i | −0.970847 | − | 0.402138i | ||||
\(156\) | 8.12595 | − | 4.55075i | 0.650597 | − | 0.364352i | ||||
\(157\) | −0.967256 | − | 6.10701i | −0.0771954 | − | 0.487393i | −0.995750 | − | 0.0920983i | \(-0.970643\pi\) |
0.918555 | − | 0.395294i | \(-0.129357\pi\) | |||||||
\(158\) | −1.07779 | − | 27.4316i | −0.0857444 | − | 2.18234i | ||||
\(159\) | 9.36312 | − | 16.7191i | 0.742544 | − | 1.32591i | ||||
\(160\) | 5.10431 | + | 18.0985i | 0.403531 | + | 1.43081i | ||||
\(161\) | 1.03271 | − | 1.68523i | 0.0813891 | − | 0.132815i | ||||
\(162\) | −5.00394 | + | 20.8429i | −0.393147 | + | 1.63757i | ||||
\(163\) | −8.44736 | − | 6.65936i | −0.661648 | − | 0.521601i | 0.230656 | − | 0.973035i | \(-0.425913\pi\) |
−0.892305 | + | 0.451434i | \(0.850913\pi\) | |||||||
\(164\) | −16.3327 | − | 3.24878i | −1.27537 | − | 0.253687i | ||||
\(165\) | 16.1354 | + | 4.38959i | 1.25614 | + | 0.341729i | ||||
\(166\) | 2.00955 | − | 2.00955i | 0.155971 | − | 0.155971i | ||||
\(167\) | −2.81745 | − | 5.03093i | −0.218021 | − | 0.389305i | 0.741495 | − | 0.670958i | \(-0.234117\pi\) |
−0.959516 | + | 0.281654i | \(0.909117\pi\) | |||||||
\(168\) | 61.6479 | − | 37.7779i | 4.75624 | − | 2.91463i | ||||
\(169\) | 7.27921 | + | 10.0190i | 0.559939 | + | 0.770690i | ||||
\(170\) | −15.6869 | − | 14.9062i | −1.20313 | − | 1.14326i | ||||
\(171\) | −21.8572 | − | 7.10184i | −1.67146 | − | 0.543091i | ||||
\(172\) | −5.01832 | − | 20.9028i | −0.382643 | − | 1.59382i | ||||
\(173\) | −2.68518 | + | 5.82461i | −0.204150 | + | 0.442837i | −0.982812 | − | 0.184607i | \(-0.940899\pi\) |
0.778662 | + | 0.627444i | \(0.215899\pi\) | |||||||
\(174\) | −3.65396 | + | 7.17129i | −0.277006 | + | 0.543654i | ||||
\(175\) | −3.10054 | − | 2.07172i | −0.234379 | − | 0.156607i | ||||
\(176\) | 21.9486 | − | 20.6697i | 1.65444 | − | 1.55804i | ||||
\(177\) | −11.2298 | − | 16.8066i | −0.844086 | − | 1.26326i | ||||
\(178\) | 21.6449 | + | 25.3429i | 1.62235 | + | 1.89953i | ||||
\(179\) | 6.52880 | + | 1.56743i | 0.487985 | + | 0.117155i | 0.469969 | − | 0.882683i | \(-0.344265\pi\) |
0.0180161 | + | 0.999838i | \(0.494265\pi\) | |||||||
\(180\) | 10.7414 | − | 29.1158i | 0.800615 | − | 2.17016i | ||||
\(181\) | −8.44788 | − | 4.73104i | −0.627926 | − | 0.351655i | 0.141927 | − | 0.989877i | \(-0.454670\pi\) |
−0.769853 | + | 0.638222i | \(0.779670\pi\) | |||||||
\(182\) | −5.10976 | − | 6.48170i | −0.378760 | − | 0.480455i | ||||
\(183\) | 36.6980 | + | 5.81239i | 2.71279 | + | 0.429664i | ||||
\(184\) | −3.17402 | − | 1.46324i | −0.233992 | − | 0.107872i | ||||
\(185\) | 8.96810 | + | 0.705805i | 0.659348 | + | 0.0518918i | ||||
\(186\) | 42.0294 | 3.08174 | ||||||||
\(187\) | −3.77093 | + | 13.1446i | −0.275758 | + | 0.961227i | ||||
\(188\) | 19.1392 | 1.39587 | ||||||||
\(189\) | −2.34267 | − | 0.184372i | −0.170404 | − | 0.0134111i | ||||
\(190\) | −33.8858 | − | 15.6216i | −2.45833 | − | 1.13331i | ||||
\(191\) | 5.88842 | + | 0.932633i | 0.426071 | + | 0.0674830i | 0.365788 | − | 0.930698i | \(-0.380800\pi\) |
0.0602831 | + | 0.998181i | \(0.480800\pi\) | |||||||
\(192\) | −9.30027 | − | 11.7973i | −0.671189 | − | 0.851399i | ||||
\(193\) | 5.55351 | + | 3.11011i | 0.399750 | + | 0.223871i | 0.675502 | − | 0.737358i | \(-0.263927\pi\) |
−0.275752 | + | 0.961229i | \(0.588927\pi\) | |||||||
\(194\) | −2.83780 | + | 7.69219i | −0.203742 | + | 0.552267i | ||||
\(195\) | −3.84737 | − | 0.923671i | −0.275516 | − | 0.0661455i | ||||
\(196\) | −28.9522 | − | 33.8986i | −2.06801 | − | 2.42133i | ||||
\(197\) | −4.14593 | − | 6.20483i | −0.295386 | − | 0.442076i | 0.653858 | − | 0.756617i | \(-0.273149\pi\) |
−0.949244 | + | 0.314541i | \(0.898149\pi\) | |||||||
\(198\) | −27.6377 | + | 3.53124i | −1.96412 | + | 0.250955i | ||||
\(199\) | 1.62003 | + | 1.08247i | 0.114841 | + | 0.0767343i | 0.611664 | − | 0.791117i | \(-0.290500\pi\) |
−0.496823 | + | 0.867852i | \(0.665500\pi\) | |||||||
\(200\) | −2.99363 | + | 5.87534i | −0.211682 | + | 0.415449i | ||||
\(201\) | −2.36392 | + | 5.12773i | −0.166738 | + | 0.361683i | ||||
\(202\) | −0.450140 | − | 1.87497i | −0.0316718 | − | 0.131922i | ||||
\(203\) | 4.77470 | + | 1.55139i | 0.335118 | + | 0.108887i | ||||
\(204\) | 45.6701 | + | 17.5662i | 3.19754 | + | 1.22988i | ||||
\(205\) | 4.15838 | + | 5.72352i | 0.290434 | + | 0.399748i | ||||
\(206\) | 7.94862 | − | 4.87092i | 0.553807 | − | 0.339373i | ||||
\(207\) | 0.771415 | + | 1.37746i | 0.0536171 | + | 0.0957402i | ||||
\(208\) | −5.04440 | + | 5.04440i | −0.349766 | + | 0.349766i | ||||
\(209\) | 1.14412 | + | 23.5517i | 0.0791402 | + | 1.62911i | ||||
\(210\) | −52.0070 | − | 10.3448i | −3.58883 | − | 0.713862i | ||||
\(211\) | −18.4346 | − | 14.5327i | −1.26909 | − | 1.00047i | −0.999295 | − | 0.0375519i | \(-0.988044\pi\) |
−0.269795 | − | 0.962918i | \(-0.586956\pi\) | |||||||
\(212\) | −8.51789 | + | 35.4796i | −0.585011 | + | 2.43675i | ||||
\(213\) | −12.0173 | + | 19.6105i | −0.823413 | + | 1.34369i | ||||
\(214\) | 4.55098 | + | 16.1366i | 0.311099 | + | 1.10307i | ||||
\(215\) | −4.46238 | + | 7.96816i | −0.304332 | + | 0.543424i | ||||
\(216\) | 0.163140 | + | 4.15219i | 0.0111003 | + | 0.282521i | ||||
\(217\) | −4.10118 | − | 25.8938i | −0.278406 | − | 1.75779i | ||||
\(218\) | −26.6174 | + | 14.9065i | −1.80276 | + | 1.00959i | ||||
\(219\) | −8.07619 | − | 3.34527i | −0.545738 | − | 0.226052i | ||||
\(220\) | −31.8394 | + | 0.295187i | −2.14661 | + | 0.0199015i | ||||
\(221\) | 0.798577 | − | 3.13561i | 0.0537181 | − | 0.210924i | ||||
\(222\) | −27.4852 | + | 8.93049i | −1.84469 | + | 0.599375i | ||||
\(223\) | −2.81396 | − | 4.59196i | −0.188437 | − | 0.307501i | 0.744445 | − | 0.667684i | \(-0.232714\pi\) |
−0.932882 | + | 0.360183i | \(0.882714\pi\) | |||||||
\(224\) | −25.5788 | + | 27.6710i | −1.70905 | + | 1.84884i | ||||
\(225\) | 2.65396 | − | 1.35226i | 0.176930 | − | 0.0901505i | ||||
\(226\) | −6.23580 | + | 4.91591i | −0.414799 | + | 0.327001i | ||||
\(227\) | −8.77425 | − | 19.0328i | −0.582367 | − | 1.26325i | −0.943696 | − | 0.330814i | \(-0.892677\pi\) |
0.361329 | − | 0.932438i | \(-0.382323\pi\) | |||||||
\(228\) | 84.3083 | + | 3.31248i | 5.58345 | + | 0.219374i | ||||
\(229\) | 3.93825 | − | 3.36358i | 0.260247 | − | 0.222272i | −0.509745 | − | 0.860326i | \(-0.670260\pi\) |
0.769992 | + | 0.638054i | \(0.220260\pi\) | |||||||
\(230\) | 0.980913 | + | 2.36813i | 0.0646795 | + | 0.156150i | ||||
\(231\) | 9.39425 | + | 32.1650i | 0.618096 | + | 2.11630i | ||||
\(232\) | 1.73195 | − | 8.70712i | 0.113708 | − | 0.571650i | ||||
\(233\) | 9.21065 | + | 2.59767i | 0.603410 | + | 0.170179i | 0.559464 | − | 0.828855i | \(-0.311007\pi\) |
0.0439460 | + | 0.999034i | \(0.486007\pi\) | |||||||
\(234\) | 6.51157 | − | 1.03133i | 0.425674 | − | 0.0674202i | ||||
\(235\) | −5.97080 | − | 5.51935i | −0.389492 | − | 0.360042i | ||||
\(236\) | 29.2670 | + | 24.9964i | 1.90512 | + | 1.62713i | ||||
\(237\) | 8.14950 | − | 25.0816i | 0.529367 | − | 1.62922i | ||||
\(238\) | 9.04417 | − | 42.4099i | 0.586246 | − | 2.74902i | ||||
\(239\) | −3.62648 | + | 4.99142i | −0.234577 | + | 0.322868i | −0.910036 | − | 0.414530i | \(-0.863946\pi\) |
0.675458 | + | 0.737398i | \(0.263946\pi\) | |||||||
\(240\) | −3.59594 | + | 45.6907i | −0.232117 | + | 2.94932i | ||||
\(241\) | 5.72115 | + | 28.7622i | 0.368532 | + | 1.85274i | 0.506420 | + | 0.862287i | \(0.330969\pi\) |
−0.137888 | + | 0.990448i | \(0.544031\pi\) | |||||||
\(242\) | 13.4481 | + | 25.2259i | 0.864477 | + | 1.62158i | ||||
\(243\) | −12.4079 | + | 18.5697i | −0.795965 | + | 1.19125i | ||||
\(244\) | −70.2587 | + | 8.31566i | −4.49785 | + | 0.532356i | ||||
\(245\) | −0.743543 | + | 18.9244i | −0.0475032 | + | 1.20904i | ||||
\(246\) | −19.3786 | − | 11.8752i | −1.23553 | − | 0.757137i | ||||
\(247\) | −0.437749 | − | 5.56213i | −0.0278533 | − | 0.353910i | ||||
\(248\) | −44.6188 | + | 12.5838i | −2.83329 | + | 0.799071i | ||||
\(249\) | 2.47931 | − | 1.14298i | 0.157120 | − | 0.0724332i | ||||
\(250\) | 29.1570 | − | 10.7566i | 1.84405 | − | 0.680307i | ||||
\(251\) | −10.4558 | − | 5.32750i | −0.659964 | − | 0.336269i | 0.0917265 | − | 0.995784i | \(-0.470761\pi\) |
−0.751691 | + | 0.659516i | \(0.770761\pi\) | |||||||
\(252\) | 60.9938 | − | 12.1324i | 3.84225 | − | 0.764271i | ||||
\(253\) | 1.04051 | − | 1.24141i | 0.0654165 | − | 0.0780466i | ||||
\(254\) | 11.0685i | 0.694498i | ||||||||
\(255\) | −9.18182 | − | 18.6503i | −0.574988 | − | 1.16793i | ||||
\(256\) | −16.0115 | − | 11.6331i | −1.00072 | − | 0.727067i | ||||
\(257\) | −19.1364 | + | 4.59424i | −1.19369 | + | 0.286581i | −0.781142 | − | 0.624353i | \(-0.785363\pi\) |
−0.412552 | + | 0.910934i | \(0.635363\pi\) | |||||||
\(258\) | 3.44844 | − | 29.1357i | 0.214690 | − | 1.81391i | ||||
\(259\) | 8.18395 | + | 16.0619i | 0.508526 | + | 0.998038i | ||||
\(260\) | 7.52828 | − | 0.295787i | 0.466884 | − | 0.0183439i | ||||
\(261\) | −2.94475 | + | 2.72210i | −0.182275 | + | 0.168494i | ||||
\(262\) | −30.5040 | + | 38.6941i | −1.88454 | + | 2.39053i | ||||
\(263\) | −10.1934 | + | 4.22223i | −0.628549 | + | 0.260354i | −0.674137 | − | 0.738607i | \(-0.735484\pi\) |
0.0455872 | + | 0.998960i | \(0.485484\pi\) | |||||||
\(264\) | 54.5313 | − | 23.1822i | 3.35617 | − | 1.42677i | ||||
\(265\) | 12.8889 | − | 8.61206i | 0.791756 | − | 0.529035i | ||||
\(266\) | −8.78849 | − | 74.2535i | −0.538857 | − | 4.55278i | ||||
\(267\) | 11.0815 | + | 30.0376i | 0.678174 | + | 1.83827i | ||||
\(268\) | 1.68191 | − | 10.6191i | 0.102739 | − | 0.648668i | ||||
\(269\) | −29.6596 | − | 3.51044i | −1.80837 | − | 0.214035i | −0.855584 | − | 0.517663i | \(-0.826802\pi\) |
−0.952791 | + | 0.303628i | \(0.901802\pi\) | |||||||
\(270\) | 1.97921 | − | 2.31736i | 0.120451 | − | 0.141030i | ||||
\(271\) | −4.07532 | + | 2.96089i | −0.247558 | + | 0.179861i | −0.704644 | − | 0.709561i | \(-0.748893\pi\) |
0.457086 | + | 0.889423i | \(0.348893\pi\) | |||||||
\(272\) | −37.3209 | − | 3.45450i | −2.26291 | − | 0.209460i | ||||
\(273\) | −2.45013 | − | 7.54072i | −0.148289 | − | 0.456385i | ||||
\(274\) | 9.67520 | − | 23.3580i | 0.584500 | − | 1.41111i | ||||
\(275\) | −2.26325 | − | 2.05355i | −0.136479 | − | 0.123834i | ||||
\(276\) | −4.09843 | − | 4.09843i | −0.246697 | − | 0.246697i | ||||
\(277\) | 6.92884 | − | 24.5678i | 0.416313 | − | 1.47614i | −0.409561 | − | 0.912283i | \(-0.634318\pi\) |
0.825875 | − | 0.563854i | \(-0.190682\pi\) | |||||||
\(278\) | 18.7046 | + | 20.2345i | 1.12183 | + | 1.21359i | ||||
\(279\) | 19.6467 | + | 7.24804i | 1.17622 | + | 0.433929i | ||||
\(280\) | 58.3084 | − | 4.58897i | 3.48460 | − | 0.274244i | ||||
\(281\) | 26.4268 | − | 2.07983i | 1.57649 | − | 0.124072i | 0.740210 | − | 0.672376i | \(-0.234726\pi\) |
0.836280 | + | 0.548303i | \(0.184726\pi\) | |||||||
\(282\) | 24.5069 | + | 9.04107i | 1.45936 | + | 0.538388i | ||||
\(283\) | 16.7051 | + | 18.0714i | 0.993013 | + | 1.07424i | 0.997240 | + | 0.0742449i | \(0.0236546\pi\) |
−0.00422657 | + | 0.999991i | \(0.501345\pi\) | |||||||
\(284\) | 11.8876 | − | 42.1504i | 0.705401 | − | 2.50116i | ||||
\(285\) | −25.3461 | − | 25.3461i | −1.50137 | − | 1.50137i | ||||
\(286\) | −3.35966 | − | 5.87078i | −0.198661 | − | 0.347146i | ||||
\(287\) | −5.42525 | + | 13.0977i | −0.320242 | + | 0.773133i | ||||
\(288\) | −9.30126 | − | 28.6263i | −0.548082 | − | 1.68682i | ||||
\(289\) | 15.3537 | − | 7.29814i | 0.903161 | − | 0.429303i | ||||
\(290\) | −5.26737 | + | 3.82697i | −0.309311 | + | 0.224727i | ||||
\(291\) | −5.11524 | + | 5.98917i | −0.299861 | + | 0.351092i | ||||
\(292\) | 16.5299 | + | 1.95644i | 0.967336 | + | 0.114492i | ||||
\(293\) | 0.533687 | − | 3.36957i | 0.0311783 | − | 0.196852i | −0.967183 | − | 0.254082i | \(-0.918227\pi\) |
0.998361 | + | 0.0572296i | \(0.0182267\pi\) | |||||||
\(294\) | −21.0587 | − | 57.0822i | −1.22817 | − | 3.32910i | ||||
\(295\) | −1.92190 | − | 16.2380i | −0.111897 | − | 0.945414i | ||||
\(296\) | 26.5047 | − | 17.7099i | 1.54056 | − | 1.02937i | ||||
\(297\) | −1.87671 | − | 0.432197i | −0.108898 | − | 0.0250786i | ||||
\(298\) | −18.6306 | + | 7.71706i | −1.07924 | + | 0.447037i | ||||
\(299\) | −0.237283 | + | 0.300992i | −0.0137224 | + | 0.0174068i | ||||
\(300\) | −8.03001 | + | 7.42287i | −0.463613 | + | 0.428559i | ||||
\(301\) | −18.2867 | + | 0.718485i | −1.05403 | + | 0.0414128i | ||||
\(302\) | 23.3153 | + | 45.7588i | 1.34164 | + | 2.63313i | ||||
\(303\) | 0.217722 | − | 1.83952i | 0.0125078 | − | 0.105678i | ||||
\(304\) | −62.8420 | + | 15.0870i | −3.60424 | + | 0.865300i | ||||
\(305\) | 24.3164 | + | 17.6669i | 1.39235 | + | 1.01160i | ||||
\(306\) | 26.0265 | + | 22.8555i | 1.48784 | + | 1.30656i | ||||
\(307\) | 22.8777i | 1.30570i | 0.757488 | + | 0.652849i | \(0.226426\pi\) | ||||
−0.757488 | + | 0.652849i | \(0.773574\pi\) | |||||||
\(308\) | −33.8412 | − | 54.0917i | −1.92828 | − | 3.08216i | ||||
\(309\) | 8.78340 | − | 1.74713i | 0.499670 | − | 0.0993906i | ||||
\(310\) | 30.2938 | + | 15.4354i | 1.72057 | + | 0.876675i | ||||
\(311\) | 5.55764 | − | 2.05032i | 0.315145 | − | 0.116263i | −0.183628 | − | 0.982996i | \(-0.558784\pi\) |
0.498773 | + | 0.866733i | \(0.333784\pi\) | |||||||
\(312\) | −12.7327 | + | 5.86988i | −0.720850 | + | 0.332316i | ||||
\(313\) | 10.4968 | − | 2.96040i | 0.593313 | − | 0.167332i | 0.0384317 | − | 0.999261i | \(-0.487764\pi\) |
0.554881 | + | 0.831930i | \(0.312764\pi\) | |||||||
\(314\) | 1.26073 | + | 16.0191i | 0.0711473 | + | 0.904012i | ||||
\(315\) | −22.5268 | − | 13.8044i | −1.26924 | − | 0.777791i | ||||
\(316\) | −1.97149 | + | 50.1779i | −0.110905 | + | 2.82273i | ||||
\(317\) | 15.9675 | − | 1.88988i | 0.896825 | − | 0.106146i | 0.343540 | − | 0.939138i | \(-0.388374\pi\) |
0.553285 | + | 0.832992i | \(0.313374\pi\) | |||||||
\(318\) | −27.6668 | + | 41.4063i | −1.55148 | + | 2.32195i | ||||
\(319\) | 3.68312 | + | 1.83384i | 0.206215 | + | 0.102675i | ||||
\(320\) | −2.37080 | − | 11.9188i | −0.132532 | − | 0.666281i | ||||
\(321\) | −1.26368 | + | 16.0566i | −0.0705317 | + | 0.896190i | ||||
\(322\) | −3.01915 | + | 4.15550i | −0.168250 | + | 0.231577i | ||||
\(323\) | 21.0108 | − | 20.4404i | 1.16907 | − | 1.13733i | ||||
\(324\) | 12.1163 | − | 37.2902i | 0.673129 | − | 2.07168i | ||||
\(325\) | 0.549860 | + | 0.469624i | 0.0305007 | + | 0.0260501i | ||||
\(326\) | 20.5274 | + | 18.9753i | 1.13691 | + | 1.05095i | ||||
\(327\) | −28.9458 | + | 4.58456i | −1.60071 | + | 0.253527i | ||||
\(328\) | 24.1280 | + | 6.80480i | 1.33225 | + | 0.375732i | ||||
\(329\) | 3.17875 | − | 15.9806i | 0.175250 | − | 0.881041i | ||||
\(330\) | −40.9083 | − | 14.6625i | −2.25193 | − | 0.807141i | ||||
\(331\) | 1.41632 | + | 3.41931i | 0.0778482 | + | 0.187942i | 0.958012 | − | 0.286728i | \(-0.0925675\pi\) |
−0.880164 | + | 0.474670i | \(0.842567\pi\) | |||||||
\(332\) | −3.95294 | + | 3.37613i | −0.216946 | + | 0.185289i | ||||
\(333\) | −14.3881 | − | 0.565309i | −0.788462 | − | 0.0309788i | ||||
\(334\) | 6.27360 | + | 13.6085i | 0.343276 | + | 0.744624i | ||||
\(335\) | −3.58704 | + | 2.82779i | −0.195981 | + | 0.154499i | ||||
\(336\) | −81.8322 | + | 41.6956i | −4.46431 | + | 2.27468i | ||||
\(337\) | 4.20959 | − | 4.55391i | 0.229311 | − | 0.248068i | −0.609116 | − | 0.793081i | \(-0.708476\pi\) |
0.838427 | + | 0.545014i | \(0.183476\pi\) | |||||||
\(338\) | −16.8160 | − | 27.4412i | −0.914668 | − | 1.49260i | ||||
\(339\) | −7.25465 | + | 2.35718i | −0.394018 | + | 0.128024i | ||||
\(340\) | 26.4667 | + | 29.4338i | 1.43536 | + | 1.59627i | ||||
\(341\) | −0.199185 | − | 21.4845i | −0.0107865 | − | 1.16345i | ||||
\(342\) | 55.1792 | + | 22.8560i | 2.98375 | + | 1.23591i | ||||
\(343\) | −8.39614 | + | 4.70207i | −0.453349 | + | 0.253888i | ||||
\(344\) | 5.06247 | + | 31.9632i | 0.272950 | + | 1.72334i | ||||
\(345\) | 0.0966723 | + | 2.46047i | 0.00520466 | + | 0.132467i | ||||
\(346\) | 8.14434 | − | 14.5428i | 0.437842 | − | 0.781824i | ||||
\(347\) | −2.28930 | − | 8.11724i | −0.122896 | − | 0.435756i | 0.876022 | − | 0.482272i | \(-0.160188\pi\) |
−0.998918 | + | 0.0465157i | \(0.985188\pi\) | |||||||
\(348\) | 7.69242 | − | 12.5529i | 0.412357 | − | 0.672906i | ||||
\(349\) | 1.14408 | − | 4.76542i | 0.0612410 | − | 0.255087i | −0.933348 | − | 0.358972i | \(-0.883127\pi\) |
0.994589 | + | 0.103885i | \(0.0331273\pi\) | |||||||
\(350\) | 7.61040 | + | 5.99955i | 0.406793 | + | 0.320690i | ||||
\(351\) | 0.446931 | + | 0.0889001i | 0.0238554 | + | 0.00474513i | ||||
\(352\) | −24.0739 | + | 19.3429i | −1.28314 | + | 1.03098i | ||||
\(353\) | −7.94130 | + | 7.94130i | −0.422673 | + | 0.422673i | −0.886123 | − | 0.463450i | \(-0.846611\pi\) |
0.463450 | + | 0.886123i | \(0.346611\pi\) | |||||||
\(354\) | 25.6672 | + | 45.8320i | 1.36419 | + | 2.43594i | ||||
\(355\) | −15.8638 | + | 9.72136i | −0.841964 | + | 0.515956i | ||||
\(356\) | −35.8337 | − | 49.3208i | −1.89918 | − | 2.61400i | ||||
\(357\) | 22.2523 | − | 35.2155i | 1.17772 | − | 1.86380i | ||||
\(358\) | −16.5951 | − | 5.39207i | −0.877077 | − | 0.284980i | ||||
\(359\) | 0.507022 | + | 2.11190i | 0.0267596 | + | 0.111462i | 0.984151 | − | 0.177331i | \(-0.0567462\pi\) |
−0.957392 | + | 0.288792i | \(0.906746\pi\) | |||||||
\(360\) | −19.5594 | + | 42.4276i | −1.03087 | + | 2.23613i | ||||
\(361\) | 14.3210 | − | 28.1066i | 0.753738 | − | 1.47929i | ||||
\(362\) | 20.9219 | + | 13.9796i | 1.09963 | + | 0.734751i | ||||
\(363\) | 3.73285 | + | 27.2068i | 0.195924 | + | 1.42799i | ||||
\(364\) | 8.38773 | + | 12.5531i | 0.439636 | + | 0.657962i | ||||
\(365\) | −4.59257 | − | 5.37720i | −0.240386 | − | 0.281456i | ||||
\(366\) | −93.8912 | − | 22.5413i | −4.90777 | − | 1.17825i | ||||
\(367\) | 9.67122 | − | 26.2150i | 0.504834 | − | 1.36841i | −0.389506 | − | 0.921024i | \(-0.627354\pi\) |
0.894340 | − | 0.447388i | \(-0.147646\pi\) | |||||||
\(368\) | 3.87355 | + | 2.16929i | 0.201923 | + | 0.113082i | ||||
\(369\) | −7.01065 | − | 8.89297i | −0.364960 | − | 0.462949i | ||||
\(370\) | −23.0905 | − | 3.65717i | −1.20042 | − | 0.190127i | ||||
\(371\) | 28.2096 | + | 13.0048i | 1.46457 | + | 0.675176i | ||||
\(372\) | −76.6432 | − | 6.03195i | −3.97376 | − | 0.312742i | ||||
\(373\) | −7.56796 | −0.391854 | −0.195927 | − | 0.980618i | \(-0.562772\pi\) | ||||
−0.195927 | + | 0.980618i | \(0.562772\pi\) | |||||||
\(374\) | 12.4498 | − | 33.2858i | 0.643764 | − | 1.72117i | ||||
\(375\) | 29.8548 | 1.54170 | ||||||||
\(376\) | −28.7237 | − | 2.26060i | −1.48131 | − | 0.116582i | ||||
\(377\) | −0.884116 | − | 0.407583i | −0.0455343 | − | 0.0209916i | ||||
\(378\) | 6.03174 | + | 0.955333i | 0.310239 | + | 0.0491370i | ||||
\(379\) | 3.41386 | + | 4.33046i | 0.175358 | + | 0.222441i | 0.865080 | − | 0.501633i | \(-0.167267\pi\) |
−0.689722 | + | 0.724074i | \(0.742267\pi\) | |||||||
\(380\) | 59.5509 | + | 33.3501i | 3.05490 | + | 1.71082i | ||||
\(381\) | −3.68022 | + | 9.97568i | −0.188544 | + | 0.511070i | ||||
\(382\) | −15.0654 | − | 3.61689i | −0.770814 | − | 0.185056i | ||||
\(383\) | −16.0997 | − | 18.8504i | −0.822657 | − | 0.963208i | 0.177123 | − | 0.984189i | \(-0.443321\pi\) |
−0.999780 | + | 0.0209808i | \(0.993321\pi\) | |||||||
\(384\) | −4.13979 | − | 6.19563i | −0.211258 | − | 0.316169i | ||||
\(385\) | −5.04158 | + | 26.6339i | −0.256943 | + | 1.35739i | ||||
\(386\) | −13.7538 | − | 9.18997i | −0.700048 | − | 0.467757i | ||||
\(387\) | 6.63648 | − | 13.0248i | 0.337351 | − | 0.662089i | ||||
\(388\) | 6.27886 | − | 13.6199i | 0.318761 | − | 0.691446i | ||||
\(389\) | 3.72171 | + | 15.5020i | 0.188698 | + | 0.785984i | 0.983765 | + | 0.179462i | \(0.0574357\pi\) |
−0.795067 | + | 0.606522i | \(0.792564\pi\) | |||||||
\(390\) | 9.77934 | + | 3.17750i | 0.495196 | + | 0.160899i | ||||
\(391\) | −2.01302 | + | 0.0513646i | −0.101803 | + | 0.00259762i | ||||
\(392\) | 39.4469 | + | 54.2939i | 1.99237 | + | 2.74226i | ||||
\(393\) | −40.3579 | + | 24.7314i | −2.03579 | + | 1.24753i | ||||
\(394\) | 9.47604 | + | 16.9207i | 0.477396 | + | 0.852452i | ||||
\(395\) | 15.0853 | − | 15.0853i | 0.759023 | − | 0.759023i | ||||
\(396\) | 50.9058 | − | 2.47295i | 2.55812 | − | 0.124270i | ||||
\(397\) | 25.3813 | + | 5.04865i | 1.27385 | + | 0.253385i | 0.785281 | − | 0.619140i | \(-0.212519\pi\) |
0.488570 | + | 0.872525i | \(0.337519\pi\) | |||||||
\(398\) | −3.97643 | − | 3.13476i | −0.199320 | − | 0.157132i | ||||
\(399\) | 16.7682 | − | 69.8445i | 0.839460 | − | 3.49660i | ||||
\(400\) | 4.37651 | − | 7.14181i | 0.218825 | − | 0.357091i | ||||
\(401\) | −3.36101 | − | 11.9173i | −0.167841 | − | 0.595119i | −0.999223 | − | 0.0394178i | \(-0.987450\pi\) |
0.831382 | − | 0.555702i | \(-0.187550\pi\) | |||||||
\(402\) | 7.16993 | − | 12.8028i | 0.357604 | − | 0.638547i | ||||
\(403\) | 0.199590 | + | 5.07991i | 0.00994230 | + | 0.253048i | ||||
\(404\) | 0.551768 | + | 3.48373i | 0.0274515 | + | 0.173322i | ||||
\(405\) | −14.5336 | + | 8.13921i | −0.722181 | + | 0.404441i | ||||
\(406\) | −12.0539 | − | 4.99287i | −0.598223 | − | 0.247792i | ||||
\(407\) | 4.69533 | + | 14.0075i | 0.232739 | + | 0.694327i | ||||
\(408\) | −66.4657 | − | 31.7571i | −3.29054 | − | 1.57221i | ||||
\(409\) | 7.07411 | − | 2.29852i | 0.349792 | − | 0.113654i | −0.128851 | − | 0.991664i | \(-0.541129\pi\) |
0.478643 | + | 0.878010i | \(0.341129\pi\) | |||||||
\(410\) | −9.60642 | − | 15.6763i | −0.474427 | − | 0.774195i | ||||
\(411\) | 16.4864 | − | 17.8349i | 0.813214 | − | 0.879730i | ||||
\(412\) | −15.1939 | + | 7.74166i | −0.748548 | + | 0.381404i | ||||
\(413\) | 25.7320 | − | 20.2855i | 1.26619 | − | 0.998183i | ||||
\(414\) | −1.71770 | − | 3.72599i | −0.0844206 | − | 0.183122i | ||||
\(415\) | 2.20679 | + | 0.0867050i | 0.108327 | + | 0.00425618i | ||||
\(416\) | 5.55646 | − | 4.74567i | 0.272428 | − | 0.232675i | ||||
\(417\) | 10.1300 | + | 24.4560i | 0.496068 | + | 1.19761i | ||||
\(418\) | 1.83801 | − | 61.2506i | 0.0899000 | − | 2.99586i | ||||
\(419\) | 2.59108 | − | 13.0262i | 0.126583 | − | 0.636374i | −0.864446 | − | 0.502725i | \(-0.832331\pi\) |
0.991029 | − | 0.133649i | \(-0.0426693\pi\) | |||||||
\(420\) | 93.3534 | + | 26.3284i | 4.55518 | + | 1.28469i | ||||
\(421\) | −0.674972 | + | 0.106905i | −0.0328961 | + | 0.00521024i | −0.172861 | − | 0.984946i | \(-0.555301\pi\) |
0.139965 | + | 0.990156i | \(0.455301\pi\) | |||||||
\(422\) | 44.7968 | + | 41.4097i | 2.18067 | + | 2.01579i | ||||
\(423\) | 9.89663 | + | 8.45252i | 0.481191 | + | 0.410976i | ||||
\(424\) | 16.9741 | − | 52.2408i | 0.824334 | − | 2.53704i | ||||
\(425\) | −0.0522719 | + | 3.79879i | −0.00253556 | + | 0.184269i | ||||
\(426\) | 35.1328 | − | 48.3561i | 1.70219 | − | 2.34286i | ||||
\(427\) | −4.72563 | + | 60.0449i | −0.228689 | + | 2.90577i | ||||
\(428\) | −5.98312 | − | 30.0792i | −0.289205 | − | 1.45393i | ||||
\(429\) | −1.07595 | − | 6.40822i | −0.0519475 | − | 0.309392i | ||||
\(430\) | 13.1857 | − | 19.7339i | 0.635873 | − | 0.951651i | ||||
\(431\) | −22.7098 | + | 2.68788i | −1.09389 | + | 0.129470i | −0.645049 | − | 0.764141i | \(-0.723163\pi\) |
−0.448841 | + | 0.893611i | \(0.648163\pi\) | |||||||
\(432\) | 0.207229 | − | 5.27434i | 0.00997032 | − | 0.253762i | ||||
\(433\) | −7.08622 | − | 4.34244i | −0.340542 | − | 0.208685i | 0.341703 | − | 0.939808i | \(-0.388996\pi\) |
−0.682245 | + | 0.731123i | \(0.738996\pi\) | |||||||
\(434\) | 5.34553 | + | 67.9214i | 0.256593 | + | 3.26033i | ||||
\(435\) | −6.01977 | + | 1.69775i | −0.288626 | + | 0.0814009i | ||||
\(436\) | 50.6779 | − | 23.3628i | 2.42703 | − | 1.11888i | ||||
\(437\) | −3.25758 | + | 1.20178i | −0.155831 | + | 0.0574892i | ||||
\(438\) | 20.2415 | + | 10.3136i | 0.967178 | + | 0.492802i | ||||
\(439\) | −17.6204 | + | 3.50492i | −0.840977 | + | 0.167281i | −0.596740 | − | 0.802435i | \(-0.703537\pi\) |
−0.244237 | + | 0.969716i | \(0.578537\pi\) | |||||||
\(440\) | 47.8186 | + | 3.31765i | 2.27966 | + | 0.158163i | ||||
\(441\) | − | 30.3148i | − | 1.44356i | ||||||
\(442\) | −2.70828 | + | 7.96084i | −0.128820 | + | 0.378658i | ||||
\(443\) | −14.9488 | − | 10.8610i | −0.710240 | − | 0.516020i | 0.173011 | − | 0.984920i | \(-0.444650\pi\) |
−0.883251 | + | 0.468900i | \(0.844650\pi\) | |||||||
\(444\) | 51.4027 | − | 12.3407i | 2.43946 | − | 0.585664i | ||||
\(445\) | −3.04418 | + | 25.7201i | −0.144308 | + | 1.21925i | ||||
\(446\) | 6.35405 | + | 12.4705i | 0.300873 | + | 0.590496i | ||||
\(447\) | −19.3571 | + | 0.760543i | −0.915560 | + | 0.0359724i | ||||
\(448\) | 17.8822 | − | 16.5301i | 0.844853 | − | 0.780974i | ||||
\(449\) | −3.02835 | + | 3.84145i | −0.142917 | + | 0.181289i | −0.851526 | − | 0.524312i | \(-0.824323\pi\) |
0.708610 | + | 0.705601i | \(0.249323\pi\) | |||||||
\(450\) | −7.15154 | + | 2.96226i | −0.337127 | + | 0.139642i | ||||
\(451\) | −5.97852 | + | 9.96220i | −0.281517 | + | 0.469102i | ||||
\(452\) | 12.0769 | − | 8.06952i | 0.568049 | − | 0.379558i | ||||
\(453\) | 5.79873 | + | 48.9933i | 0.272448 | + | 2.30190i | ||||
\(454\) | 18.8514 | + | 51.0989i | 0.884739 | + | 2.39819i | ||||
\(455\) | 1.00336 | − | 6.33500i | 0.0470385 | − | 0.296989i | ||||
\(456\) | −126.137 | − | 14.9292i | −5.90689 | − | 0.699126i | ||||
\(457\) | −9.86493 | + | 11.5503i | −0.461462 | + | 0.540302i | −0.941530 | − | 0.336929i | \(-0.890612\pi\) |
0.480068 | + | 0.877231i | \(0.340612\pi\) | |||||||
\(458\) | −10.8890 | + | 7.91130i | −0.508808 | + | 0.369671i | ||||
\(459\) | 1.14097 | + | 2.10476i | 0.0532559 | + | 0.0982419i | ||||
\(460\) | −1.44889 | − | 4.45922i | −0.0675547 | − | 0.207912i | ||||
\(461\) | 7.73638 | − | 18.6773i | 0.360319 | − | 0.869887i | −0.634934 | − | 0.772566i | \(-0.718973\pi\) |
0.995253 | − | 0.0973209i | \(-0.0310273\pi\) | |||||||
\(462\) | −17.7800 | − | 85.2480i | −0.827201 | − | 3.96610i | ||||
\(463\) | −2.20424 | − | 2.20424i | −0.102440 | − | 0.102440i | 0.654029 | − | 0.756469i | \(-0.273077\pi\) |
−0.756469 | + | 0.654029i | \(0.773077\pi\) | |||||||
\(464\) | −3.06102 | + | 10.8536i | −0.142104 | + | 0.503864i | ||||
\(465\) | 22.1706 | + | 23.9840i | 1.02814 | + | 1.11223i | ||||
\(466\) | −23.3331 | − | 8.60804i | −1.08089 | − | 0.398760i | ||||
\(467\) | −33.5596 | + | 2.64120i | −1.55295 | + | 0.122220i | −0.825684 | − | 0.564133i | \(-0.809211\pi\) |
−0.727269 | + | 0.686353i | \(0.759211\pi\) | |||||||
\(468\) | −12.0223 | + | 0.946173i | −0.555729 | + | 0.0437368i | ||||
\(469\) | −8.58731 | − | 3.16803i | −0.396525 | − | 0.146286i | ||||
\(470\) | 14.3436 | + | 15.5168i | 0.661622 | + | 0.715739i | ||||
\(471\) | −4.19003 | + | 14.8567i | −0.193067 | + | 0.684563i | ||||
\(472\) | −40.9708 | − | 40.9708i | −1.88583 | − | 1.88583i | ||||
\(473\) | −14.9099 | − | 1.62468i | −0.685556 | − | 0.0747031i | ||||
\(474\) | −26.2277 | + | 63.3192i | −1.20468 | + | 2.90835i | ||||
\(475\) | 2.02434 | + | 6.23027i | 0.0928830 | + | 0.285864i | ||||
\(476\) | −22.5792 | + | 76.0390i | −1.03491 | + | 3.48524i | ||||
\(477\) | −20.0735 | + | 14.5842i | −0.919100 | + | 0.667766i | ||||
\(478\) | 10.4132 | − | 12.1922i | 0.476286 | − | 0.557660i | ||||
\(479\) | 6.95022 | + | 0.822613i | 0.317564 | + | 0.0375861i | 0.274807 | − | 0.961499i | \(-0.411386\pi\) |
0.0427566 | + | 0.999086i | \(0.486386\pi\) | |||||||
\(480\) | 7.34395 | − | 46.3678i | 0.335204 | − | 2.11639i | ||||
\(481\) | −1.20991 | − | 3.27961i | −0.0551673 | − | 0.149538i | ||||
\(482\) | −8.95767 | − | 75.6830i | −0.408011 | − | 3.44727i | ||||
\(483\) | −4.10275 | + | 2.74137i | −0.186682 | + | 0.124737i | ||||
\(484\) | −20.9031 | − | 47.9311i | −0.950141 | − | 2.17869i | ||||
\(485\) | −5.88649 | + | 2.43826i | −0.267292 | + | 0.110716i | ||||
\(486\) | 35.9324 | − | 45.5800i | 1.62993 | − | 2.06755i | ||||
\(487\) | 25.0258 | − | 23.1336i | 1.13403 | − | 1.04828i | 0.135681 | − | 0.990753i | \(-0.456678\pi\) |
0.998344 | − | 0.0575296i | \(-0.0183224\pi\) | |||||||
\(488\) | 106.425 | − | 4.18144i | 4.81762 | − | 0.189285i | ||||
\(489\) | 12.1915 | + | 23.9272i | 0.551319 | + | 1.08202i | ||||
\(490\) | 5.78503 | − | 48.8774i | 0.261341 | − | 2.20806i | ||||
\(491\) | 37.5949 | − | 9.02573i | 1.69663 | − | 0.407325i | 0.734219 | − | 0.678913i | \(-0.237549\pi\) |
0.962414 | + | 0.271587i | \(0.0875486\pi\) | |||||||
\(492\) | 33.6338 | + | 24.4364i | 1.51633 | + | 1.10168i | ||||
\(493\) | −1.32052 | − | 4.94148i | −0.0594733 | − | 0.222553i | ||||
\(494\) | 14.4995i | 0.652364i | ||||||||
\(495\) | −16.5941 | − | 13.9087i | −0.745848 | − | 0.625149i | ||||
\(496\) | 57.7566 | − | 11.4885i | 2.59335 | − | 0.515849i | ||||
\(497\) | −33.2198 | − | 16.9264i | −1.49011 | − | 0.759251i | ||||
\(498\) | −6.65639 | + | 2.45567i | −0.298280 | + | 0.110041i | ||||
\(499\) | −5.78566 | + | 2.66722i | −0.259001 | + | 0.119401i | −0.543882 | − | 0.839162i | \(-0.683046\pi\) |
0.284880 | + | 0.958563i | \(0.408046\pi\) | |||||||
\(500\) | −54.7134 | + | 15.4308i | −2.44686 | + | 0.690085i | ||||
\(501\) | 1.12944 | + | 14.3509i | 0.0504595 | + | 0.641149i | ||||
\(502\) | 26.0024 | + | 15.9343i | 1.16054 | + | 0.711182i | ||||
\(503\) | 0.287440 | − | 7.31584i | 0.0128163 | − | 0.326197i | −0.979420 | − | 0.201832i | \(-0.935311\pi\) |
0.992236 | − | 0.124365i | \(-0.0396895\pi\) | |||||||
\(504\) | −92.9711 | + | 11.0039i | −4.14126 | + | 0.490151i | ||||
\(505\) | 0.832500 | − | 1.24593i | 0.0370458 | − | 0.0554429i | ||||
\(506\) | −2.94886 | + | 3.00405i | −0.131093 | + | 0.133546i | ||||
\(507\) | −6.03164 | − | 30.3231i | −0.267875 | − | 1.34670i | ||||
\(508\) | 1.58852 | − | 20.1841i | 0.0704792 | − | 0.895524i | ||||
\(509\) | −20.3956 | + | 28.0721i | −0.904018 | + | 1.24427i | 0.0651504 | + | 0.997875i | \(0.479247\pi\) |
−0.969169 | + | 0.246399i | \(0.920753\pi\) | |||||||
\(510\) | 19.9853 | + | 50.1911i | 0.884963 | + | 2.22250i | ||||
\(511\) | 4.37893 | − | 13.4770i | 0.193712 | − | 0.596186i | ||||
\(512\) | 34.5712 | + | 29.5266i | 1.52785 | + | 1.30490i | ||||
\(513\) | 3.03143 | + | 2.80222i | 0.133841 | + | 0.123721i | ||||
\(514\) | 50.5149 | − | 8.00077i | 2.22812 | − | 0.352899i | ||||
\(515\) | 6.97251 | + | 1.96645i | 0.307245 | + | 0.0866522i | ||||
\(516\) | −10.4699 | + | 52.6358i | −0.460912 | + | 2.31716i | ||||
\(517\) | 4.50545 | − | 12.5702i | 0.198150 | − | 0.552838i | ||||
\(518\) | −17.9278 | − | 43.2815i | −0.787702 | − | 1.90168i | ||||
\(519\) | 12.1756 | − | 10.3990i | 0.534451 | − | 0.456465i | ||||
\(520\) | −11.3332 | − | 0.445283i | −0.496994 | − | 0.0195269i | ||||
\(521\) | −6.62901 | − | 14.3794i | −0.290422 | − | 0.629974i | 0.706556 | − | 0.707657i | \(-0.250248\pi\) |
−0.996978 | + | 0.0776829i | \(0.975248\pi\) | |||||||
\(522\) | 8.18423 | − | 6.45192i | 0.358214 | − | 0.282393i | ||||
\(523\) | −20.0179 | + | 10.1996i | −0.875320 | + | 0.445998i | −0.833108 | − | 0.553111i | \(-0.813441\pi\) |
−0.0422122 | + | 0.999109i | \(0.513441\pi\) | |||||||
\(524\) | 61.1792 | − | 66.1833i | 2.67263 | − | 2.89123i | ||||
\(525\) | 4.86419 | + | 7.93763i | 0.212291 | + | 0.346427i | ||||
\(526\) | 27.2697 | − | 8.86045i | 1.18901 | − | 0.386334i | ||||
\(527\) | −19.8613 | + | 17.8591i | −0.865170 | + | 0.777955i | ||||
\(528\) | −71.3655 | + | 23.9218i | −3.10579 | + | 1.04106i | ||||
\(529\) | −21.0289 | − | 8.71044i | −0.914298 | − | 0.378715i | ||||
\(530\) | −35.1482 | + | 19.6839i | −1.52674 | + | 0.855015i | ||||
\(531\) | 4.09433 | + | 25.8506i | 0.177679 | + | 1.12182i | ||||
\(532\) | 5.36967 | + | 136.667i | 0.232805 | + | 5.92528i | ||||
\(533\) | 1.34328 | − | 2.39860i | 0.0581840 | − | 0.103895i | ||||
\(534\) | −22.5850 | − | 80.0803i | −0.977348 | − | 3.46541i | ||||
\(535\) | −6.80766 | + | 11.1091i | −0.294321 | + | 0.480288i | ||||
\(536\) | −3.77843 | + | 15.7383i | −0.163203 | + | 0.679791i | ||||
\(537\) | −13.1638 | − | 10.3775i | −0.568059 | − | 0.447822i | ||||
\(538\) | 76.1256 | + | 15.1423i | 3.28201 | + | 0.652832i | ||||
\(539\) | −29.0794 | + | 11.0353i | −1.25254 | + | 0.475324i | ||||
\(540\) | −3.94180 | + | 3.94180i | −0.169628 | + | 0.169628i | ||||
\(541\) | 19.7572 | + | 35.2790i | 0.849427 | + | 1.51676i | 0.856116 | + | 0.516784i | \(0.172871\pi\) |
−0.00668873 | + | 0.999978i | \(0.502129\pi\) | |||||||
\(542\) | 11.1620 | − | 6.84006i | 0.479447 | − | 0.293806i | ||||
\(543\) | 14.2081 | + | 19.5558i | 0.609730 | + | 0.839221i | ||||
\(544\) | 37.8325 | + | 6.52688i | 1.62205 | + | 0.279838i | ||||
\(545\) | −22.5471 | − | 7.32601i | −0.965814 | − | 0.313812i | ||||
\(546\) | 4.81020 | + | 20.0359i | 0.205858 | + | 0.857459i | ||||
\(547\) | 2.19316 | − | 4.75734i | 0.0937728 | − | 0.203409i | −0.855544 | − | 0.517731i | \(-0.826777\pi\) |
0.949317 | + | 0.314322i | \(0.101777\pi\) | |||||||
\(548\) | −20.9956 | + | 41.2062i | −0.896888 | + | 1.76024i | ||||
\(549\) | −40.0023 | − | 26.7287i | −1.70726 | − | 1.14075i | ||||
\(550\) | 5.44487 | + | 5.78176i | 0.232170 | + | 0.246535i | ||||
\(551\) | −4.89991 | − | 7.33323i | −0.208743 | − | 0.312406i | ||||
\(552\) | 5.66675 | + | 6.63491i | 0.241193 | + | 0.282400i | ||||
\(553\) | 41.5695 | + | 9.97995i | 1.76771 | + | 0.424391i | ||||
\(554\) | −22.9604 | + | 62.2370i | −0.975495 | + | 2.64420i | ||||
\(555\) | −19.5947 | − | 10.9736i | −0.831750 | − | 0.465802i | ||||
\(556\) | −31.2050 | − | 39.5834i | −1.32339 | − | 1.67871i | ||||
\(557\) | −45.4001 | − | 7.19067i | −1.92366 | − | 0.304678i | −0.926272 | − | 0.376855i | \(-0.877006\pi\) |
−0.997392 | + | 0.0721765i | \(0.977006\pi\) | |||||||
\(558\) | −49.4223 | − | 22.7840i | −2.09221 | − | 0.964524i | ||||
\(559\) | 3.53788 | + | 0.278437i | 0.149637 | + | 0.0117766i | ||||
\(560\) | −74.2956 | −3.13956 | ||||||||
\(561\) | 22.2880 | − | 25.8600i | 0.941001 | − | 1.09181i | ||||
\(562\) | −68.8900 | −2.90595 | ||||||||
\(563\) | 34.6503 | + | 2.72704i | 1.46034 | + | 0.114931i | 0.783587 | − | 0.621282i | \(-0.213388\pi\) |
0.676750 | + | 0.736213i | \(0.263388\pi\) | |||||||
\(564\) | −43.3923 | − | 20.0041i | −1.82715 | − | 0.842326i | ||||
\(565\) | −6.09466 | − | 0.965300i | −0.256404 | − | 0.0406105i | ||||
\(566\) | −39.5944 | − | 50.2253i | −1.66428 | − | 2.11113i | ||||
\(567\) | −29.1238 | − | 16.3101i | −1.22308 | − | 0.684960i | ||||
\(568\) | −22.8192 | + | 61.8542i | −0.957473 | + | 2.59534i | ||||
\(569\) | −13.6155 | − | 3.26880i | −0.570794 | − | 0.137035i | −0.0622330 | − | 0.998062i | \(-0.519822\pi\) |
−0.508561 | + | 0.861026i | \(0.669822\pi\) | |||||||
\(570\) | 60.4981 | + | 70.8342i | 2.53399 | + | 2.96692i | ||||
\(571\) | 7.99071 | + | 11.9589i | 0.334401 | + | 0.500466i | 0.960122 | − | 0.279580i | \(-0.0901953\pi\) |
−0.625721 | + | 0.780047i | \(0.715195\pi\) | |||||||
\(572\) | 5.28400 | + | 11.1879i | 0.220935 | + | 0.467789i | ||||
\(573\) | −12.3754 | − | 8.26898i | −0.516990 | − | 0.345441i | ||||
\(574\) | 16.7262 | − | 32.8271i | 0.698139 | − | 1.37018i | ||||
\(575\) | 0.188404 | − | 0.408679i | 0.00785697 | − | 0.0170431i | ||||
\(576\) | 4.54088 | + | 18.9141i | 0.189203 | + | 0.788089i | ||||
\(577\) | 14.9134 | + | 4.84567i | 0.620855 | + | 0.201728i | 0.602520 | − | 0.798104i | \(-0.294163\pi\) |
0.0183350 | + | 0.999832i | \(0.494163\pi\) | |||||||
\(578\) | −41.2662 | + | 15.7773i | −1.71645 | + | 0.656248i | ||||
\(579\) | −9.34022 | − | 12.8557i | −0.388166 | − | 0.534265i | ||||
\(580\) | 10.1546 | − | 6.22276i | 0.421648 | − | 0.258386i | ||||
\(581\) | 2.16244 | + | 3.86131i | 0.0897129 | + | 0.160194i | ||||
\(582\) | 14.4736 | − | 14.4736i | 0.599951 | − | 0.599951i | ||||
\(583\) | 21.2971 | + | 13.9464i | 0.882035 | + | 0.577602i | ||||
\(584\) | −24.5765 | − | 4.88857i | −1.01698 | − | 0.202291i | ||||
\(585\) | 4.02340 | + | 3.17179i | 0.166347 | + | 0.131137i | ||||
\(586\) | −2.06972 | + | 8.62099i | −0.0854992 | + | 0.356130i | ||||
\(587\) | 11.4342 | − | 18.6589i | 0.471939 | − | 0.770134i | −0.524766 | − | 0.851246i | \(-0.675847\pi\) |
0.996705 | + | 0.0811126i | \(0.0258473\pi\) | |||||||
\(588\) | 30.2096 | + | 107.115i | 1.24582 | + | 4.41736i | ||||
\(589\) | −22.5039 | + | 40.1836i | −0.927257 | + | 1.65574i | ||||
\(590\) | 1.66830 | + | 42.4610i | 0.0686827 | + | 1.74809i | ||||
\(591\) | 2.91441 | + | 18.4008i | 0.119883 | + | 0.756909i | ||||
\(592\) | −35.3290 | + | 19.7852i | −1.45201 | + | 0.813166i | ||||
\(593\) | 41.3937 | + | 17.1458i | 1.69983 | + | 0.704094i | 0.999948 | − | 0.0101610i | \(-0.00323441\pi\) |
0.699885 | + | 0.714255i | \(0.253234\pi\) | |||||||
\(594\) | 4.77402 | + | 1.50239i | 0.195880 | + | 0.0616436i | ||||
\(595\) | 28.9720 | − | 17.2103i | 1.18774 | − | 0.705553i | ||||
\(596\) | 35.0817 | − | 11.3987i | 1.43700 | − | 0.466910i | ||||
\(597\) | −2.54154 | − | 4.14741i | −0.104018 | − | 0.169742i | ||||
\(598\) | 0.676119 | − | 0.731421i | 0.0276486 | − | 0.0299100i | ||||
\(599\) | −24.4235 | + | 12.4444i | −0.997918 | + | 0.508464i | −0.875088 | − | 0.483963i | \(-0.839197\pi\) |
−0.122829 | + | 0.992428i | \(0.539197\pi\) | |||||||
\(600\) | 12.9280 | − | 10.1916i | 0.527783 | − | 0.416071i | ||||
\(601\) | 10.2446 | + | 22.2222i | 0.417884 | + | 0.906461i | 0.995902 | + | 0.0904367i | \(0.0288263\pi\) |
−0.578018 | + | 0.816024i | \(0.696174\pi\) | |||||||
\(602\) | 47.5232 | + | 1.86719i | 1.93690 | + | 0.0761010i | ||||
\(603\) | 5.55946 | − | 4.74823i | 0.226399 | − | 0.193363i | ||||
\(604\) | −35.9497 | − | 86.7903i | −1.46277 | − | 3.53145i | ||||
\(605\) | −7.30125 | + | 20.9809i | −0.296838 | + | 0.852995i | ||||
\(606\) | −0.939145 | + | 4.72140i | −0.0381502 | + | 0.191794i | ||||
\(607\) | 0.936103 | + | 0.264008i | 0.0379952 | + | 0.0107158i | 0.290385 | − | 0.956910i | \(-0.406217\pi\) |
−0.252390 | + | 0.967626i | \(0.581217\pi\) | |||||||
\(608\) | 65.3833 | − | 10.3557i | 2.65164 | − | 0.419979i | ||||
\(609\) | −9.20366 | − | 8.50778i | −0.372951 | − | 0.344753i | ||||
\(610\) | −59.3962 | − | 50.7292i | −2.40488 | − | 2.05396i | ||||
\(611\) | −0.976377 | + | 3.00498i | −0.0395000 | + | 0.121568i | ||||
\(612\) | −44.1809 | − | 45.4137i | −1.78591 | − | 1.83574i | ||||
\(613\) | 22.9406 | − | 31.5751i | 0.926563 | − | 1.27531i | −0.0346217 | − | 0.999400i | \(-0.511023\pi\) |
0.961185 | − | 0.275905i | \(-0.0889774\pi\) | |||||||
\(614\) | 4.66473 | − | 59.2710i | 0.188253 | − | 2.39198i | ||||
\(615\) | −3.44568 | − | 17.3226i | −0.138943 | − | 0.698515i | ||||
\(616\) | 44.3991 | + | 85.1766i | 1.78889 | + | 3.43186i | ||||
\(617\) | −3.86665 | + | 5.78686i | −0.155666 | + | 0.232970i | −0.901102 | − | 0.433606i | \(-0.857241\pi\) |
0.745437 | + | 0.666576i | \(0.232241\pi\) | |||||||
\(618\) | −23.1121 | + | 2.73550i | −0.929705 | + | 0.110038i | ||||
\(619\) | 1.35133 | − | 34.3937i | 0.0543146 | − | 1.38240i | −0.694439 | − | 0.719551i | \(-0.744347\pi\) |
0.748754 | − | 0.662848i | \(-0.230653\pi\) | |||||||
\(620\) | −53.0273 | − | 32.4952i | −2.12963 | − | 1.30504i | ||||
\(621\) | −0.0222501 | − | 0.282714i | −0.000892864 | − | 0.0113449i | ||||
\(622\) | −14.8167 | + | 4.17873i | −0.594094 | + | 0.167552i | ||||
\(623\) | −47.1328 | + | 21.7285i | −1.88833 | + | 0.870534i | ||||
\(624\) | 16.7090 | − | 6.16427i | 0.668894 | − | 0.246768i | ||||
\(625\) | 17.4137 | + | 8.87271i | 0.696547 | + | 0.354908i | ||||
\(626\) | −27.7984 | + | 5.52945i | −1.11105 | + | 0.221001i | ||||
\(627\) | 22.0221 | − | 54.5921i | 0.879478 | − | 2.18020i | ||||
\(628\) | − | 29.3928i | − | 1.17290i | ||||||
\(629\) | 9.19359 | − | 15.8992i | 0.366572 | − | 0.633942i | ||||
\(630\) | 55.5472 | + | 40.3574i | 2.21305 | + | 1.60788i | ||||
\(631\) | −23.1030 | + | 5.54654i | −0.919716 | + | 0.220804i | −0.665547 | − | 0.746356i | \(-0.731802\pi\) |
−0.254168 | + | 0.967160i | \(0.581802\pi\) | |||||||
\(632\) | 8.88547 | − | 75.0729i | 0.353445 | − | 2.98624i | ||||
\(633\) | 26.6054 | + | 52.2160i | 1.05747 | + | 2.07540i | ||||
\(634\) | −41.7536 | + | 1.64050i | −1.65825 | + | 0.0651528i | ||||
\(635\) | −6.31623 | + | 5.83866i | −0.250652 | + | 0.231700i | ||||
\(636\) | 56.3946 | − | 71.5362i | 2.23619 | − | 2.83660i | ||||
\(637\) | 6.79929 | − | 2.81636i | 0.269398 | − | 0.111588i | ||||
\(638\) | −9.16824 | − | 5.50205i | −0.362974 | − | 0.217828i | ||||
\(639\) | 24.7619 | − | 16.5454i | 0.979568 | − | 0.654526i | ||||
\(640\) | −0.708492 | − | 5.98602i | −0.0280056 | − | 0.236618i | ||||
\(641\) | −7.42910 | − | 20.1374i | −0.293432 | − | 0.795381i | −0.996448 | − | 0.0842078i | \(-0.973164\pi\) |
0.703017 | − | 0.711173i | \(-0.251836\pi\) | |||||||
\(642\) | 6.54782 | − | 41.3413i | 0.258422 | − | 1.63161i | ||||
\(643\) | 41.2313 | + | 4.88005i | 1.62600 | + | 0.192450i | 0.880499 | − | 0.474048i | \(-0.157208\pi\) |
0.745506 | + | 0.666499i | \(0.232208\pi\) | |||||||
\(644\) | 6.10199 | − | 7.14451i | 0.240452 | − | 0.281533i | ||||
\(645\) | 18.4453 | − | 13.4013i | 0.726284 | − | 0.527676i | ||||
\(646\) | −58.6020 | + | 48.6724i | −2.30566 | + | 1.91499i | ||||
\(647\) | −4.63764 | − | 14.2732i | −0.182324 | − | 0.561137i | 0.817568 | − | 0.575833i | \(-0.195322\pi\) |
−0.999892 | + | 0.0146957i | \(0.995322\pi\) | |||||||
\(648\) | −22.5884 | + | 54.5332i | −0.887355 | + | 2.14227i | ||||
\(649\) | 23.3067 | − | 13.3377i | 0.914867 | − | 0.523550i | ||||
\(650\) | −1.32881 | − | 1.32881i | −0.0521202 | − | 0.0521202i | ||||
\(651\) | −17.7658 | + | 62.9928i | −0.696297 | + | 2.46888i | ||||
\(652\) | −34.7097 | − | 37.5488i | −1.35934 | − | 1.47052i | ||||
\(653\) | 9.15825 | + | 3.37866i | 0.358390 | + | 0.132217i | 0.518940 | − | 0.854811i | \(-0.326327\pi\) |
−0.160550 | + | 0.987028i | \(0.551327\pi\) | |||||||
\(654\) | 75.9269 | − | 5.97558i | 2.96898 | − | 0.233664i | ||||
\(655\) | −38.1718 | + | 3.00418i | −1.49149 | + | 0.117383i | ||||
\(656\) | −29.8760 | − | 11.0219i | −1.16646 | − | 0.430331i | ||||
\(657\) | 7.68333 | + | 8.31178i | 0.299755 | + | 0.324274i | ||||
\(658\) | −11.4939 | + | 40.7542i | −0.448077 | + | 1.58876i | ||||
\(659\) | 19.1587 | + | 19.1587i | 0.746316 | + | 0.746316i | 0.973785 | − | 0.227469i | \(-0.0730450\pi\) |
−0.227469 | + | 0.973785i | \(0.573045\pi\) | |||||||
\(660\) | 72.4945 | + | 32.6090i | 2.82185 | + | 1.26930i | ||||
\(661\) | −16.2556 | + | 39.2445i | −0.632269 | + | 1.52643i | 0.204493 | + | 0.978868i | \(0.434445\pi\) |
−0.836763 | + | 0.547566i | \(0.815555\pi\) | |||||||
\(662\) | −2.97219 | − | 9.14746i | −0.115517 | − | 0.355526i | ||||
\(663\) | −5.08784 | + | 6.27436i | −0.197595 | + | 0.243676i | ||||
\(664\) | 6.33125 | − | 4.59992i | 0.245700 | − | 0.178512i | ||||
\(665\) | 37.7368 | − | 44.1841i | 1.46337 | − | 1.71339i | ||||
\(666\) | 37.1611 | + | 4.39830i | 1.43996 | + | 0.170431i | ||||
\(667\) | −0.0947783 | + | 0.598407i | −0.00366983 | + | 0.0231704i | ||||
\(668\) | −9.48725 | − | 25.7163i | −0.367073 | − | 0.994994i | ||||
\(669\) | 1.58031 | + | 13.3520i | 0.0610984 | + | 0.516218i | ||||
\(670\) | 9.86980 | − | 6.59479i | 0.381304 | − | 0.254779i | ||||
\(671\) | −11.0776 | + | 48.1020i | −0.427648 | + | 1.85696i | ||||
\(672\) | 86.9135 | − | 36.0007i | 3.35276 | − | 1.38876i | ||||
\(673\) | 16.6148 | − | 21.0757i | 0.640452 | − | 0.812409i | −0.351876 | − | 0.936047i | \(-0.614456\pi\) |
0.992327 | + | 0.123637i | \(0.0394560\pi\) | |||||||
\(674\) | −11.8347 | + | 10.9399i | −0.455854 | + | 0.421387i | ||||
\(675\) | −0.534626 | + | 0.0210055i | −0.0205778 | + | 0.000808502i | ||||
\(676\) | 26.7267 | + | 52.4541i | 1.02795 | + | 2.01746i | ||||
\(677\) | 2.98529 | − | 25.2226i | 0.114734 | − | 0.969383i | −0.809385 | − | 0.587278i | \(-0.800199\pi\) |
0.924119 | − | 0.382105i | \(-0.124801\pi\) | |||||||
\(678\) | 19.2758 | − | 4.62771i | 0.740283 | − | 0.177726i | ||||
\(679\) | −10.3294 | − | 7.50472i | −0.396404 | − | 0.288005i | ||||
\(680\) | −36.2440 | − | 47.2996i | −1.38989 | − | 1.81386i | ||||
\(681\) | 52.3218i | 2.00498i | ||||||||
\(682\) | −3.86461 | + | 55.7022i | −0.147984 | + | 2.13295i | ||||
\(683\) | −7.39001 | + | 1.46996i | −0.282771 | + | 0.0562466i | −0.334438 | − | 0.942418i | \(-0.608546\pi\) |
0.0516672 | + | 0.998664i | \(0.483546\pi\) | |||||||
\(684\) | −97.3424 | − | 49.5984i | −3.72198 | − | 1.89644i | ||||
\(685\) | 18.4329 | − | 6.80027i | 0.704286 | − | 0.259825i | ||||
\(686\) | 22.7113 | − | 10.4701i | 0.867121 | − | 0.399748i | ||||
\(687\) | −12.4444 | + | 3.50967i | −0.474782 | + | 0.133902i | ||||
\(688\) | −3.22526 | − | 40.9808i | −0.122962 | − | 1.56238i | ||||
\(689\) | −5.13598 | − | 3.14734i | −0.195665 | − | 0.119904i | ||||
\(690\) | 0.251231 | − | 6.39426i | 0.00956420 | − | 0.243425i | ||||
\(691\) | 16.5734 | − | 1.96160i | 0.630483 | − | 0.0746226i | 0.203784 | − | 0.979016i | \(-0.434676\pi\) |
0.426700 | + | 0.904393i | \(0.359676\pi\) | |||||||
\(692\) | −16.9389 | + | 25.3508i | −0.643918 | + | 0.963692i | ||||
\(693\) | 6.38989 | − | 42.9155i | 0.242732 | − | 1.63022i | ||||
\(694\) | 4.27597 | + | 21.4968i | 0.162314 | + | 0.816006i | ||||
\(695\) | −1.68009 | + | 21.3476i | −0.0637294 | + | 0.809759i | ||||
\(696\) | −13.0273 | + | 17.9305i | −0.493798 | + | 0.679654i | ||||
\(697\) | 14.2035 | − | 2.62263i | 0.537996 | − | 0.0993393i | ||||
\(698\) | −3.93572 | + | 12.1129i | −0.148969 | + | 0.458479i | ||||
\(699\) | −18.1673 | − | 15.5163i | −0.687149 | − | 0.586881i | ||||
\(700\) | −13.0170 | − | 12.0328i | −0.491996 | − | 0.454797i | ||||
\(701\) | −1.47452 | + | 0.233541i | −0.0556919 | + | 0.00882073i | −0.184218 | − | 0.982885i | \(-0.558975\pi\) |
0.128526 | + | 0.991706i | \(0.458975\pi\) | |||||||
\(702\) | −1.13977 | − | 0.321449i | −0.0430179 | − | 0.0121323i | ||||
\(703\) | 6.17819 | − | 31.0599i | 0.233015 | − | 1.17144i | ||||
\(704\) | 16.4904 | − | 11.2410i | 0.621504 | − | 0.423662i | ||||
\(705\) | 7.76818 | + | 18.7540i | 0.292567 | + | 0.706318i | ||||
\(706\) | 22.1934 | − | 18.9549i | 0.835259 | − | 0.713378i | ||||
\(707\) | 3.00044 | + | 0.117888i | 0.112843 | + | 0.00443362i | ||||
\(708\) | −40.2280 | − | 87.2612i | −1.51186 | − | 3.27948i | ||||
\(709\) | 13.6941 | − | 10.7956i | 0.514293 | − | 0.405436i | −0.327817 | − | 0.944741i | \(-0.606313\pi\) |
0.842110 | + | 0.539305i | \(0.181313\pi\) | |||||||
\(710\) | 43.0818 | − | 21.9513i | 1.61683 | − | 0.823817i | ||||
\(711\) | −23.1797 | + | 25.0756i | −0.869306 | + | 0.940410i | ||||
\(712\) | 47.9529 | + | 78.2520i | 1.79711 | + | 2.93262i | ||||
\(713\) | 3.00898 | − | 0.977677i | 0.112687 | − | 0.0366143i | ||||
\(714\) | −64.8313 | + | 86.6985i | −2.42625 | + | 3.24461i | ||||
\(715\) | 1.57792 | − | 5.01404i | 0.0590110 | − | 0.187515i | ||||
\(716\) | 29.4883 | + | 12.2145i | 1.10203 | + | 0.456476i | ||||
\(717\) | 13.4389 | − | 7.52615i | 0.501885 | − | 0.281069i | ||||
\(718\) | −0.882968 | − | 5.57484i | −0.0329521 | − | 0.208051i | ||||
\(719\) | −0.161947 | − | 4.12184i | −0.00603962 | − | 0.153719i | −0.999289 | − | 0.0377158i | \(-0.987992\pi\) |
0.993249 | − | 0.116003i | \(-0.0370082\pi\) | |||||||
\(720\) | 28.9973 | − | 51.7784i | 1.08066 | − | 1.92967i | ||||
\(721\) | 3.94056 | + | 13.9722i | 0.146754 | + | 0.520351i | ||||
\(722\) | −42.8335 | + | 69.8979i | −1.59410 | + | 2.60133i | ||||
\(723\) | 17.0910 | − | 71.1891i | 0.635621 | − | 2.64755i | ||||
\(724\) | −36.1461 | − | 28.4953i | −1.34336 | − | 1.05902i | ||||
\(725\) | 1.12111 | + | 0.223002i | 0.0416369 | + | 0.00828209i | ||||
\(726\) | −4.12355 | − | 71.2479i | −0.153039 | − | 2.64426i | ||||
\(727\) | 20.6106 | − | 20.6106i | 0.764405 | − | 0.764405i | −0.212710 | − | 0.977115i | \(-0.568229\pi\) |
0.977115 | + | 0.212710i | \(0.0682290\pi\) | |||||||
\(728\) | −11.1054 | − | 19.8301i | −0.411594 | − | 0.734954i | ||||
\(729\) | 26.4418 | − | 16.2036i | 0.979327 | − | 0.600133i | ||||
\(730\) | 10.8019 | + | 14.8676i | 0.399797 | + | 0.550273i | ||||
\(731\) | 10.7507 | + | 15.2336i | 0.397631 | + | 0.563434i | ||||
\(732\) | 167.981 | + | 54.5805i | 6.20877 | + | 2.01735i | ||||
\(733\) | −6.99469 | − | 29.1350i | −0.258355 | − | 1.07613i | −0.939111 | − | 0.343615i | \(-0.888348\pi\) |
0.680756 | − | 0.732511i | \(-0.261652\pi\) | |||||||
\(734\) | −30.4012 | + | 65.9453i | −1.12213 | + | 2.43409i | ||||
\(735\) | 21.4654 | − | 42.1282i | 0.791763 | − | 1.55392i | ||||
\(736\) | −3.78112 | − | 2.52647i | −0.139374 | − | 0.0931268i | ||||
\(737\) | −6.57850 | − | 3.60443i | −0.242322 | − | 0.132771i | ||||
\(738\) | 16.3498 | + | 24.4692i | 0.601844 | + | 0.900723i | ||||
\(739\) | −22.6280 | − | 26.4940i | −0.832386 | − | 0.974598i | 0.167551 | − | 0.985863i | \(-0.446414\pi\) |
−0.999937 | + | 0.0112650i | \(0.996414\pi\) | |||||||
\(740\) | 41.5820 | + | 9.98296i | 1.52859 | + | 0.366981i | ||||
\(741\) | −4.82102 | + | 13.0680i | −0.177105 | + | 0.480063i | ||||
\(742\) | −70.4332 | − | 39.4445i | −2.58568 | − | 1.44805i | ||||
\(743\) | −10.0549 | − | 12.7546i | −0.368878 | − | 0.467919i | 0.565218 | − | 0.824942i | \(-0.308792\pi\) |
−0.934096 | + | 0.357022i | \(0.883792\pi\) | |||||||
\(744\) | 114.312 | + | 18.1052i | 4.19087 | + | 0.663769i | ||||
\(745\) | −14.2315 | − | 6.56079i | −0.521400 | − | 0.240369i | ||||
\(746\) | 19.6069 | + | 1.54310i | 0.717860 | + | 0.0564968i | ||||
\(747\) | −3.53503 | −0.129340 | ||||||||
\(748\) | −27.4801 | + | 58.9120i | −1.00477 | + | 2.15404i | ||||
\(749\) | −26.1089 | −0.953997 | ||||||||
\(750\) | −77.3473 | − | 6.08736i | −2.82432 | − | 0.222279i | ||||
\(751\) | −21.4157 | − | 9.87279i | −0.781471 | − | 0.360263i | −0.0128088 | − | 0.999918i | \(-0.504077\pi\) |
−0.768662 | + | 0.639655i | \(0.779077\pi\) | |||||||
\(752\) | 36.1486 | + | 5.72538i | 1.31820 | + | 0.208783i | ||||
\(753\) | 18.1371 | + | 23.0068i | 0.660952 | + | 0.838413i | ||||
\(754\) | 2.20744 | + | 1.23623i | 0.0803903 | + | 0.0450208i | ||||
\(755\) | −13.8134 | + | 37.4428i | −0.502720 | + | 1.36268i | ||||
\(756\) | −10.8621 | − | 2.60777i | −0.395052 | − | 0.0948436i | ||||
\(757\) | 31.5550 | + | 36.9462i | 1.14689 | + | 1.34283i | 0.930399 | + | 0.366548i | \(0.119460\pi\) |
0.216489 | + | 0.976285i | \(0.430540\pi\) | |||||||
\(758\) | −7.96158 | − | 11.9153i | −0.289178 | − | 0.432785i | ||||
\(759\) | −3.65655 | + | 1.72697i | −0.132724 | + | 0.0626852i | ||||
\(760\) | −85.4335 | − | 57.0848i | −3.09900 | − | 2.07068i | ||||
\(761\) | 11.2517 | − | 22.0827i | 0.407873 | − | 0.800496i | −0.592113 | − | 0.805855i | \(-0.701706\pi\) |
0.999986 | + | 0.00535930i | \(0.00170593\pi\) | |||||||
\(762\) | 11.5687 | − | 25.0944i | 0.419089 | − | 0.909074i | ||||
\(763\) | −11.0904 | − | 46.1946i | −0.401498 | − | 1.67236i | ||||
\(764\) | 26.9537 | + | 8.75777i | 0.975149 | + | 0.316845i | ||||
\(765\) | 0.686599 | + | 26.9084i | 0.0248240 | + | 0.972874i | ||||
\(766\) | 37.8673 | + | 52.1198i | 1.36820 | + | 1.88317i | ||||
\(767\) | −5.41763 | + | 3.31993i | −0.195619 | + | 0.119876i | ||||
\(768\) | 24.1425 | + | 43.1095i | 0.871168 | + | 1.55558i | ||||
\(769\) | −5.19418 | + | 5.19418i | −0.187307 | + | 0.187307i | −0.794531 | − | 0.607224i | \(-0.792283\pi\) |
0.607224 | + | 0.794531i | \(0.292283\pi\) | |||||||
\(770\) | 18.4922 | − | 67.9745i | 0.666414 | − | 2.44963i | ||||
\(771\) | 48.1877 | + | 9.58513i | 1.73544 | + | 0.345200i | ||||
\(772\) | 23.7619 | + | 18.7324i | 0.855211 | + | 0.674194i | ||||
\(773\) | 8.33056 | − | 34.6993i | 0.299629 | − | 1.24805i | −0.595905 | − | 0.803055i | \(-0.703207\pi\) |
0.895535 | − | 0.444992i | \(-0.146793\pi\) | |||||||
\(774\) | −19.8494 | + | 32.3913i | −0.713472 | + | 1.16428i | ||||
\(775\) | −1.62026 | − | 5.74500i | −0.0582014 | − | 0.206367i | ||||
\(776\) | −11.0319 | + | 19.6988i | −0.396021 | + | 0.707146i | ||||
\(777\) | −1.76685 | − | 44.9692i | −0.0633852 | − | 1.61326i | ||||
\(778\) | −6.48128 | − | 40.9212i | −0.232365 | − | 1.46710i | ||||
\(779\) | 21.7297 | − | 12.1692i | 0.778546 | − | 0.436007i | ||||
\(780\) | −17.3772 | − | 7.19788i | −0.622204 | − | 0.257725i | ||||
\(781\) | −24.8851 | − | 17.7299i | −0.890458 | − | 0.634427i | ||||
\(782\) | 5.22577 | + | 0.277378i | 0.186873 | + | 0.00991903i | ||||
\(783\) | 0.685078 | − | 0.222595i | 0.0244827 | − | 0.00795490i | ||||
\(784\) | −44.5420 | − | 72.6859i | −1.59079 | − | 2.59593i | ||||
\(785\) | −8.47628 | + | 9.16958i | −0.302531 | + | 0.327276i | ||||
\(786\) | 109.601 | − | 55.8446i | 3.90935 | − | 1.99191i | ||||
\(787\) | 34.9568 | − | 27.5577i | 1.24607 | − | 0.982325i | 0.246159 | − | 0.969229i | \(-0.420831\pi\) |
0.999914 | − | 0.0130960i | \(-0.00416870\pi\) | |||||||
\(788\) | −14.8517 | − | 32.2159i | −0.529071 | − | 1.14764i | ||||
\(789\) | 27.5233 | + | 1.08140i | 0.979857 | + | 0.0384987i | ||||
\(790\) | −42.1585 | + | 36.0068i | −1.49993 | + | 1.28106i | ||||
\(791\) | −4.73199 | − | 11.4240i | −0.168250 | − | 0.406192i | ||||
\(792\) | −76.6904 | − | 2.30133i | −2.72507 | − | 0.0817742i | ||||
\(793\) | 2.27860 | − | 11.4553i | 0.0809154 | − | 0.406789i | ||||
\(794\) | −64.7279 | − | 18.2552i | −2.29711 | − | 0.647851i | ||||
\(795\) | −38.2228 | + | 6.05389i | −1.35562 | + | 0.214709i | ||||
\(796\) | 6.80138 | + | 6.28713i | 0.241068 | + | 0.222841i | ||||
\(797\) | −14.8206 | − | 12.6580i | −0.524973 | − | 0.448370i | 0.347041 | − | 0.937850i | \(-0.387186\pi\) |
−0.872014 | + | 0.489480i | \(0.837186\pi\) | |||||||
\(798\) | −57.6839 | + | 177.533i | −2.04199 | + | 6.28459i | ||||
\(799\) | −15.4226 | + | 6.14104i | −0.545613 | + | 0.217254i | ||||
\(800\) | −5.04301 | + | 6.94111i | −0.178297 | + | 0.245405i | ||||
\(801\) | 3.25262 | − | 41.3285i | 0.114926 | − | 1.46027i | ||||
\(802\) | 6.27773 | + | 31.5603i | 0.221674 | + | 1.11443i | ||||
\(803\) | 5.17614 | − | 10.3959i | 0.182662 | − | 0.366863i | ||||
\(804\) | −14.9122 | + | 22.3177i | −0.525914 | + | 0.787086i | ||||
\(805\) | −3.96394 | + | 0.469164i | −0.139711 | + | 0.0165358i | ||||
\(806\) | 0.518693 | − | 13.2016i | 0.0182702 | − | 0.465007i | ||||
\(807\) | 63.5749 | + | 38.9587i | 2.23794 | + | 1.37141i | ||||
\(808\) | −0.416605 | − | 5.29347i | −0.0146561 | − | 0.186224i | ||||
\(809\) | −10.3599 | + | 2.92178i | −0.364233 | + | 0.102724i | −0.448653 | − | 0.893706i | \(-0.648096\pi\) |
0.0844202 | + | 0.996430i | \(0.473096\pi\) | |||||||
\(810\) | 39.3129 | − | 18.1235i | 1.38132 | − | 0.636795i | ||||
\(811\) | 9.47966 | − | 3.49723i | 0.332876 | − | 0.122804i | −0.174189 | − | 0.984712i | \(-0.555730\pi\) |
0.507065 | + | 0.861908i | \(0.330730\pi\) | |||||||
\(812\) | 21.2644 | + | 10.8348i | 0.746235 | + | 0.380226i | ||||
\(813\) | 12.3342 | − | 2.45343i | 0.432580 | − | 0.0860455i | ||||
\(814\) | −9.30844 | − | 37.2478i | −0.326261 | − | 1.30553i | ||||
\(815\) | 21.7235i | 0.760941i | ||||||||
\(816\) | 81.0031 | + | 46.8395i | 2.83568 | + | 1.63971i | ||||
\(817\) | 26.0098 | + | 18.8972i | 0.909966 | + | 0.661129i | ||||
\(818\) | −18.7961 | + | 4.51255i | −0.657191 | + | 0.157778i | ||||
\(819\) | −1.20670 | + | 10.1953i | −0.0421655 | + | 0.356254i | ||||
\(820\) | 15.2681 | + | 29.9653i | 0.533185 | + | 1.04643i | ||||
\(821\) | 2.64108 | − | 0.103768i | 0.0921743 | − | 0.00362154i | 0.00686911 | − | 0.999976i | \(-0.497813\pi\) |
0.0853052 | + | 0.996355i | \(0.472813\pi\) | |||||||
\(822\) | −46.3491 | + | 42.8447i | −1.61661 | + | 1.49438i | ||||
\(823\) | −25.0836 | + | 31.8184i | −0.874360 | + | 1.10912i | 0.118864 | + | 0.992911i | \(0.462075\pi\) |
−0.993225 | + | 0.116210i | \(0.962925\pi\) | |||||||
\(824\) | 23.7170 | − | 9.82390i | 0.826221 | − | 0.342232i | ||||
\(825\) | 2.98488 | + | 7.02132i | 0.103920 | + | 0.244451i | ||||
\(826\) | −70.8021 | + | 47.3085i | −2.46352 | + | 1.64607i | ||||
\(827\) | −0.0532010 | − | 0.449493i | −0.00184998 | − | 0.0156304i | 0.992113 | − | 0.125349i | \(-0.0400050\pi\) |
−0.993963 | + | 0.109719i | \(0.965005\pi\) | |||||||
\(828\) | 2.59760 | + | 7.04109i | 0.0902727 | + | 0.244695i | ||||
\(829\) | −6.13089 | + | 38.7089i | −0.212934 | + | 1.34442i | 0.617180 | + | 0.786822i | \(0.288275\pi\) |
−0.830114 | + | 0.557593i | \(0.811725\pi\) | |||||||
\(830\) | −5.69963 | − | 0.674595i | −0.197837 | − | 0.0234156i | ||||
\(831\) | −41.3870 | + | 48.4580i | −1.43570 | + | 1.68099i | ||||
\(832\) | −3.82038 | + | 2.77567i | −0.132448 | + | 0.0962289i | ||||
\(833\) | 34.2068 | + | 18.0263i | 1.18520 | + | 0.624575i | ||||
\(834\) | −21.2580 | − | 65.4255i | −0.736105 | − | 2.26550i | ||||
\(835\) | −4.45634 | + | 10.7586i | −0.154218 | + | 0.372315i | ||||
\(836\) | −12.1423 | + | 111.430i | −0.419949 | + | 3.85390i | ||||
\(837\) | −2.65984 | − | 2.65984i | −0.0919374 | − | 0.0919374i | ||||
\(838\) | −9.36896 | + | 33.2198i | −0.323645 | + | 1.14756i | ||||
\(839\) | 37.2349 | + | 40.2804i | 1.28549 | + | 1.39064i | 0.878887 | + | 0.477030i | \(0.158287\pi\) |
0.406603 | + | 0.913605i | \(0.366713\pi\) | |||||||
\(840\) | −136.993 | − | 50.5393i | −4.72670 | − | 1.74377i | ||||
\(841\) | 27.3764 | − | 2.15457i | 0.944014 | − | 0.0742955i | ||||
\(842\) | 1.77050 | − | 0.139342i | 0.0610155 | − | 0.00480203i | ||||
\(843\) | −62.0884 | − | 22.9056i | −2.13844 | − | 0.788912i | ||||
\(844\) | −75.7467 | − | 81.9423i | −2.60731 | − | 2.82057i | ||||
\(845\) | 6.78882 | − | 24.0713i | 0.233542 | − | 0.828079i | ||||
\(846\) | −23.9165 | − | 23.9165i | −0.822267 | − | 0.822267i | ||||
\(847\) | −43.4926 | + | 9.49276i | −1.49442 | + | 0.326175i | ||||
\(848\) | −26.7014 | + | 64.4629i | −0.916930 | + | 2.21367i | ||||
\(849\) | −18.9855 | − | 58.4314i | −0.651582 | − | 2.00536i | ||||
\(850\) | 0.909994 | − | 9.83118i | 0.0312125 | − | 0.337207i | ||||
\(851\) | −1.75999 | + | 1.27871i | −0.0603317 | + | 0.0438336i | ||||
\(852\) | −71.0067 | + | 83.1382i | −2.43265 | + | 2.84827i | ||||
\(853\) | −11.5915 | − | 1.37195i | −0.396886 | − | 0.0469746i | −0.0832765 | − | 0.996526i | \(-0.526538\pi\) |
−0.313610 | + | 0.949552i | \(0.601538\pi\) | |||||||
\(854\) | 24.4861 | − | 154.599i | 0.837899 | − | 5.29028i | ||||
\(855\) | 16.0644 | + | 43.5446i | 0.549392 | + | 1.48919i | ||||
\(856\) | 5.42656 | + | 45.8488i | 0.185476 | + | 1.56708i | ||||
\(857\) | 35.9854 | − | 24.0447i | 1.22924 | − | 0.821350i | 0.240447 | − | 0.970662i | \(-0.422706\pi\) |
0.988790 | + | 0.149312i | \(0.0477060\pi\) | |||||||
\(858\) | 1.48093 | + | 16.8217i | 0.0505581 | + | 0.574282i | ||||
\(859\) | 32.9282 | − | 13.6393i | 1.12349 | − | 0.465367i | 0.257930 | − | 0.966164i | \(-0.416960\pi\) |
0.865565 | + | 0.500797i | \(0.166960\pi\) | |||||||
\(860\) | −26.8772 | + | 34.0935i | −0.916504 | + | 1.16258i | ||||
\(861\) | 25.9897 | − | 24.0246i | 0.885726 | − | 0.818757i | ||||
\(862\) | 59.3840 | − | 2.33320i | 2.02263 | − | 0.0794693i | ||||
\(863\) | 13.1323 | + | 25.7736i | 0.447029 | + | 0.877343i | 0.999053 | + | 0.0435152i | \(0.0138557\pi\) |
−0.552024 | + | 0.833828i | \(0.686144\pi\) | |||||||
\(864\) | −0.635488 | + | 5.36921i | −0.0216197 | + | 0.182664i | ||||
\(865\) | 12.5950 | − | 3.02379i | 0.428242 | − | 0.102812i | ||||
\(866\) | 17.4734 | + | 12.6952i | 0.593771 | + | 0.431400i | ||||
\(867\) | −42.4378 | + | 0.498726i | −1.44126 | + | 0.0169376i | ||||
\(868\) | − | 124.626i | − | 4.23008i | ||||||
\(869\) | 32.4917 | + | 13.1069i | 1.10220 | + | 0.444622i | ||||
\(870\) | 15.9421 | − | 3.17107i | 0.540486 | − | 0.107509i | ||||
\(871\) | 1.58147 | + | 0.805801i | 0.0535862 | + | 0.0273035i | ||||
\(872\) | −78.8156 | + | 29.0766i | −2.66903 | + | 0.984659i | ||||
\(873\) | 9.26172 | − | 4.26971i | 0.313462 | − | 0.144508i | ||||
\(874\) | 8.68471 | − | 2.44934i | 0.293765 | − | 0.0828502i | ||||
\(875\) | 3.79710 | + | 48.2468i | 0.128366 | + | 1.63104i | ||||
\(876\) | −35.4315 | − | 21.7125i | −1.19712 | − | 0.733596i | ||||
\(877\) | −0.607662 | + | 15.4660i | −0.0205193 | + | 0.522251i | 0.954247 | + | 0.299021i | \(0.0966600\pi\) |
−0.974766 | + | 0.223230i | \(0.928340\pi\) | |||||||
\(878\) | 46.3653 | − | 5.48769i | 1.56475 | − | 0.185201i | ||||
\(879\) | −4.73181 | + | 7.08166i | −0.159600 | + | 0.238858i | ||||
\(880\) | −60.2239 | − | 8.96703i | −2.03015 | − | 0.302278i | ||||
\(881\) | −1.40036 | − | 7.04010i | −0.0471794 | − | 0.237187i | 0.949999 | − | 0.312252i | \(-0.101083\pi\) |
−0.997179 | + | 0.0750654i | \(0.976083\pi\) | |||||||
\(882\) | −6.18115 | + | 78.5389i | −0.208130 | + | 2.64454i | ||||
\(883\) | −20.1705 | + | 27.7623i | −0.678792 | + | 0.934277i | −0.999919 | − | 0.0127595i | \(-0.995938\pi\) |
0.321127 | + | 0.947036i | \(0.395938\pi\) | |||||||
\(884\) | 6.08124 | − | 14.1284i | 0.204534 | − | 0.475189i | ||||
\(885\) | −12.6145 | + | 38.8235i | −0.424032 | + | 1.30504i | ||||
\(886\) | 36.5146 | + | 31.1864i | 1.22673 | + | 1.04773i | ||||
\(887\) | −16.3479 | − | 15.1118i | −0.548909 | − | 0.507406i | 0.355153 | − | 0.934808i | \(-0.384429\pi\) |
−0.904062 | + | 0.427402i | \(0.859429\pi\) | |||||||
\(888\) | −78.6016 | + | 12.4493i | −2.63770 | + | 0.417770i | ||||
\(889\) | −16.5892 | − | 4.67865i | −0.556385 | − | 0.156917i | ||||
\(890\) | 13.1311 | − | 66.0144i | 0.440155 | − | 2.21281i | ||||
\(891\) | −21.6392 | − | 16.7360i | −0.724940 | − | 0.560678i | ||||
\(892\) | −9.79727 | − | 23.6527i | −0.328037 | − | 0.791951i | ||||
\(893\) | −21.7658 | + | 18.5898i | −0.728365 | + | 0.622083i | ||||
\(894\) | 50.3051 | + | 1.97649i | 1.68245 | + | 0.0661037i | ||||
\(895\) | −5.67697 | − | 12.3143i | −0.189760 | − | 0.411622i | ||||
\(896\) | 9.48589 | − | 7.47808i | 0.316902 | − | 0.249825i | ||||
\(897\) | 0.852559 | − | 0.434401i | 0.0284661 | − | 0.0145042i | ||||
\(898\) | 8.62906 | − | 9.33486i | 0.287955 | − | 0.311508i | ||||
\(899\) | 4.19898 | + | 6.85211i | 0.140044 | + | 0.228531i | ||||
\(900\) | 13.4664 | − | 4.37550i | 0.448880 | − | 0.145850i | ||||
\(901\) | −4.52021 | − | 31.3230i | −0.150590 | − | 1.04352i | ||||
\(902\) | 17.5203 | − | 24.5908i | 0.583362 | − | 0.818786i | ||||
\(903\) | 42.2103 | + | 17.4841i | 1.40467 | + | 0.581834i | ||||
\(904\) | −19.0778 | + | 10.6841i | −0.634519 | + | 0.355348i | ||||
\(905\) | 3.05894 | + | 19.3134i | 0.101683 | + | 0.641998i | ||||
\(906\) | −5.03358 | − | 128.113i | −0.167229 | − | 4.25627i | ||||
\(907\) | 4.00431 | − | 7.15020i | 0.132961 | − | 0.237419i | −0.797902 | − | 0.602787i | \(-0.794057\pi\) |
0.930863 | + | 0.365368i | \(0.119057\pi\) | |||||||
\(908\) | −27.0431 | − | 95.8875i | −0.897456 | − | 3.18214i | ||||
\(909\) | −1.25322 | + | 2.04507i | −0.0415667 | + | 0.0678306i | ||||
\(910\) | −3.89119 | + | 16.2080i | −0.128992 | + | 0.537290i | ||||
\(911\) | 36.5948 | + | 28.8490i | 1.21244 | + | 0.955811i | 0.999773 | − | 0.0213131i | \(-0.00678470\pi\) |
0.212668 | + | 0.977124i | \(0.431785\pi\) | |||||||
\(912\) | 158.244 | + | 31.4766i | 5.23998 | + | 1.04230i | ||||
\(913\) | 1.28683 | + | 3.39096i | 0.0425879 | + | 0.112225i | ||||
\(914\) | 27.9130 | − | 27.9130i | 0.923278 | − | 0.923278i | ||||
\(915\) | −36.6647 | − | 65.4696i | −1.21210 | − | 2.16436i | ||||
\(916\) | 20.9921 | − | 12.8640i | 0.693599 | − | 0.425038i | ||||
\(917\) | −45.1000 | − | 62.0748i | −1.48933 | − | 2.04989i | ||||
\(918\) | −2.52684 | − | 5.68562i | −0.0833982 | − | 0.187653i | ||||
\(919\) | 28.6029 | + | 9.29364i | 0.943522 | + | 0.306569i | 0.740080 | − | 0.672518i | \(-0.234787\pi\) |
0.203441 | + | 0.979087i | \(0.434787\pi\) | |||||||
\(920\) | 1.64776 | + | 6.86342i | 0.0543251 | + | 0.226280i | ||||
\(921\) | 23.9115 | − | 51.8681i | 0.787912 | − | 1.70911i | ||||
\(922\) | −23.8515 | + | 46.8113i | −0.785508 | + | 1.54165i | ||||
\(923\) | 6.01144 | + | 4.01671i | 0.197869 | + | 0.132212i | ||||
\(924\) | 20.1884 | + | 158.007i | 0.664149 | + | 5.19804i | ||||
\(925\) | 2.28028 | + | 3.41269i | 0.0749753 | + | 0.112208i | ||||
\(926\) | 5.26126 | + | 6.16014i | 0.172896 | + | 0.202435i | ||||
\(927\) | −11.2755 | − | 2.70701i | −0.370337 | − | 0.0889100i | ||||
\(928\) | 3.99800 | − | 10.8371i | 0.131241 | − | 0.355744i | ||||
\(929\) | −4.05749 | − | 2.27231i | −0.133122 | − | 0.0745519i | 0.420636 | − | 0.907229i | \(-0.361807\pi\) |
−0.553758 | + | 0.832677i | \(0.686807\pi\) | |||||||
\(930\) | −52.5489 | − | 66.6579i | −1.72314 | − | 2.18580i | ||||
\(931\) | 65.8510 | + | 10.4298i | 2.15818 | + | 0.341822i | ||||
\(932\) | 41.3140 | + | 19.0460i | 1.35328 | + | 0.623873i | ||||
\(933\) | −14.7432 | − | 1.16032i | −0.482671 | − | 0.0379871i | ||||
\(934\) | 87.4840 | 2.86256 | ||||||||
\(935\) | 25.5619 | − | 10.4539i | 0.835962 | − | 0.341879i | ||||
\(936\) | 18.1545 | 0.593398 | ||||||||
\(937\) | 42.1888 | + | 3.32033i | 1.37825 | + | 0.108470i | 0.745820 | − | 0.666148i | \(-0.232058\pi\) |
0.632429 | + | 0.774619i | \(0.282058\pi\) | |||||||
\(938\) | 21.6019 | + | 9.95860i | 0.705326 | + | 0.325160i | ||||
\(939\) | −26.8924 | − | 4.25934i | −0.877600 | − | 0.138998i | ||||
\(940\) | −23.9296 | − | 30.3545i | −0.780496 | − | 0.990055i | ||||
\(941\) | −39.4872 | − | 22.1139i | −1.28725 | − | 0.720892i | −0.313729 | − | 0.949512i | \(-0.601579\pi\) |
−0.973516 | + | 0.228621i | \(0.926579\pi\) | |||||||
\(942\) | 13.8847 | − | 37.6362i | 0.452389 | − | 1.22625i | ||||
\(943\) | −1.66360 | − | 0.399395i | −0.0541742 | − | 0.0130061i | ||||
\(944\) | 47.7997 | + | 55.9662i | 1.55575 | + | 1.82155i | ||||
\(945\) | 2.63660 | + | 3.94595i | 0.0857686 | + | 0.128362i | ||||
\(946\) | 38.2969 | + | 7.24930i | 1.24514 | + | 0.235695i | ||||
\(947\) | 29.2564 | + | 19.5485i | 0.950706 | + | 0.635242i | 0.931177 | − | 0.364568i | \(-0.118783\pi\) |
0.0195293 | + | 0.999809i | \(0.493783\pi\) | |||||||
\(948\) | 56.9152 | − | 111.702i | 1.84852 | − | 3.62793i | ||||
\(949\) | −1.15043 | + | 2.49549i | −0.0373447 | + | 0.0810069i | ||||
\(950\) | −3.97427 | − | 16.5540i | −0.128942 | − | 0.537083i | ||||
\(951\) | −38.1767 | − | 12.4044i | −1.23796 | − | 0.402239i | ||||
\(952\) | 42.8675 | − | 111.451i | 1.38934 | − | 3.61214i | ||||
\(953\) | 19.1370 | + | 26.3398i | 0.619907 | + | 0.853228i | 0.997346 | − | 0.0728059i | \(-0.0231954\pi\) |
−0.377439 | + | 0.926034i | \(0.623195\pi\) | |||||||
\(954\) | 54.9796 | − | 33.6915i | 1.78003 | − | 1.09080i | ||||
\(955\) | −5.88308 | − | 10.5050i | −0.190372 | − | 0.339934i | ||||
\(956\) | −20.7388 | + | 20.7388i | −0.670742 | + | 0.670742i | ||||
\(957\) | −6.43365 | − | 8.00723i | −0.207970 | − | 0.258837i | ||||
\(958\) | −17.8388 | − | 3.54835i | −0.576344 | − | 0.114642i | ||||
\(959\) | 30.9188 | + | 24.3744i | 0.998421 | + | 0.787091i | ||||
\(960\) | −7.08236 | + | 29.5002i | −0.228582 | + | 0.952114i | ||||
\(961\) | 5.72957 | − | 9.34981i | 0.184825 | − | 0.301607i | ||||
\(962\) | 2.46591 | + | 8.74346i | 0.0795041 | + | 0.281900i | ||||
\(963\) | 10.1902 | − | 18.1959i | 0.328374 | − | 0.586354i | ||||
\(964\) | 5.47304 | + | 139.298i | 0.176275 | + | 4.48650i | ||||
\(965\) | −2.01090 | − | 12.6963i | −0.0647332 | − | 0.408709i | ||||
\(966\) | 11.1883 | − | 6.26574i | 0.359977 | − | 0.201597i | ||||
\(967\) | 2.85519 | + | 1.18266i | 0.0918168 | + | 0.0380318i | 0.428119 | − | 0.903722i | \(-0.359176\pi\) |
−0.336302 | + | 0.941754i | \(0.609176\pi\) | |||||||
\(968\) | 25.7096 | + | 74.4028i | 0.826336 | + | 2.39140i | ||||
\(969\) | −68.9995 | + | 24.3821i | −2.21658 | + | 0.783264i | ||||
\(970\) | 15.7478 | − | 5.11676i | 0.505630 | − | 0.164289i | ||||
\(971\) | 5.97573 | + | 9.75151i | 0.191770 | + | 0.312941i | 0.934045 | − | 0.357155i | \(-0.116253\pi\) |
−0.742275 | + | 0.670096i | \(0.766253\pi\) | |||||||
\(972\) | −72.0665 | + | 77.9611i | −2.31153 | + | 2.50060i | ||||
\(973\) | −38.2336 | + | 19.4810i | −1.22571 | + | 0.624531i | ||||
\(974\) | −69.5531 | + | 54.8313i | −2.22863 | + | 1.75691i | ||||
\(975\) | −0.755791 | − | 1.63944i | −0.0242047 | − | 0.0525040i | ||||
\(976\) | −135.187 | − | 5.31149i | −4.32722 | − | 0.170017i | ||||
\(977\) | 5.19966 | − | 4.44093i | 0.166352 | − | 0.142078i | −0.562375 | − | 0.826882i | \(-0.690112\pi\) |
0.728727 | + | 0.684804i | \(0.240112\pi\) | |||||||
\(978\) | −26.7068 | − | 64.4758i | −0.853988 | − | 2.06171i | ||||
\(979\) | −40.8283 | + | 11.9245i | −1.30488 | + | 0.381108i | ||||
\(980\) | −17.5641 | + | 88.3008i | −0.561065 | + | 2.82067i | ||||
\(981\) | 36.5227 | + | 10.3005i | 1.16608 | + | 0.328868i | ||||
\(982\) | −99.2403 | + | 15.7181i | −3.16689 | + | 0.501586i | ||||
\(983\) | −17.7374 | − | 16.3962i | −0.565734 | − | 0.522959i | 0.343551 | − | 0.939134i | \(-0.388370\pi\) |
−0.909284 | + | 0.416175i | \(0.863370\pi\) | |||||||
\(984\) | −47.5905 | − | 40.6462i | −1.51713 | − | 1.29575i | ||||
\(985\) | −4.65714 | + | 14.3332i | −0.148389 | + | 0.456694i | ||||
\(986\) | 2.41362 | + | 13.0715i | 0.0768653 | + | 0.416283i | ||||
\(987\) | −23.9096 | + | 32.9088i | −0.761052 | + | 1.04750i | ||||
\(988\) | 2.08093 | − | 26.4408i | 0.0662033 | − | 0.841192i | ||||
\(989\) | −0.430866 | − | 2.16611i | −0.0137007 | − | 0.0688782i | ||||
\(990\) | 40.1556 | + | 39.4179i | 1.27623 | + | 1.25278i | ||||
\(991\) | −27.1973 | + | 40.7037i | −0.863952 | + | 1.29300i | 0.0908843 | + | 0.995861i | \(0.471031\pi\) |
−0.954836 | + | 0.297134i | \(0.903969\pi\) | |||||||
\(992\) | −59.9012 | + | 7.08977i | −1.90186 | + | 0.225100i | ||||
\(993\) | 0.362748 | − | 9.23256i | 0.0115115 | − | 0.292986i | ||||
\(994\) | 82.6140 | + | 50.6259i | 2.62036 | + | 1.60576i | ||||
\(995\) | −0.308727 | − | 3.92275i | −0.00978730 | − | 0.124359i | ||||
\(996\) | 12.4908 | − | 3.52277i | 0.395786 | − | 0.111623i | ||||
\(997\) | −21.8558 | + | 10.0757i | −0.692181 | + | 0.319100i | −0.733156 | − | 0.680060i | \(-0.761954\pi\) |
0.0409750 | + | 0.999160i | \(0.486954\pi\) | |||||||
\(998\) | 15.5332 | − | 5.73050i | 0.491695 | − | 0.181396i | ||||
\(999\) | 2.30457 | + | 1.17424i | 0.0729135 | + | 0.0371513i |
(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 | 187.2.t.a.6.2 | ✓ | 512 | |
11.2 | odd | 10 | inner | 187.2.t.a.57.2 | yes | 512 | |
17.3 | odd | 16 | inner | 187.2.t.a.105.2 | yes | 512 | |
187.156 | even | 80 | inner | 187.2.t.a.156.2 | yes | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
187.2.t.a.6.2 | ✓ | 512 | 1.1 | even | 1 | trivial | |
187.2.t.a.57.2 | yes | 512 | 11.2 | odd | 10 | inner | |
187.2.t.a.105.2 | yes | 512 | 17.3 | odd | 16 | inner | |
187.2.t.a.156.2 | yes | 512 | 187.156 | even | 80 | inner |