Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [361,2,Mod(28,361)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(361, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("361.28");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 361 = 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 361.e (of order \(9\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.88259951297\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 19) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 54.1 | ||
Root | \(0.939693 - 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 361.54 |
Dual form | 361.2.e.h.234.1 |
$q$-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 \(\left(\mathbb{Z}/361\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.93969 | + | 1.62760i | 1.37157 | + | 1.15088i | 0.972216 | + | 0.234087i | \(0.0752101\pi\) |
0.399354 | + | 0.916797i | \(0.369234\pi\) | |||||||
\(3\) | −0.613341 | + | 0.223238i | −0.354112 | + | 0.128886i | −0.512950 | − | 0.858418i | \(-0.671448\pi\) |
0.158838 | + | 0.987305i | \(0.449225\pi\) | |||||||
\(4\) | 0.766044 | + | 4.34445i | 0.383022 | + | 2.17223i | ||||
\(5\) | −0.233956 | + | 1.32683i | −0.104628 | + | 0.593375i | 0.886740 | + | 0.462268i | \(0.152964\pi\) |
−0.991368 | + | 0.131107i | \(0.958147\pi\) | |||||||
\(6\) | −1.55303 | − | 0.565258i | −0.634023 | − | 0.230766i | ||||
\(7\) | −0.766044 | − | 1.32683i | −0.289538 | − | 0.501494i | 0.684162 | − | 0.729330i | \(-0.260168\pi\) |
−0.973699 | + | 0.227836i | \(0.926835\pi\) | |||||||
\(8\) | −3.05303 | + | 5.28801i | −1.07941 | + | 1.86959i | ||||
\(9\) | −1.97178 | + | 1.65452i | −0.657261 | + | 0.551507i | ||||
\(10\) | −2.61334 | + | 2.19285i | −0.826411 | + | 0.693441i | ||||
\(11\) | 0.592396 | − | 1.02606i | 0.178614 | − | 0.309369i | −0.762792 | − | 0.646644i | \(-0.776172\pi\) |
0.941406 | + | 0.337275i | \(0.109505\pi\) | |||||||
\(12\) | −1.43969 | − | 2.49362i | −0.415603 | − | 0.719846i | ||||
\(13\) | 2.55303 | + | 0.929228i | 0.708084 | + | 0.257722i | 0.670859 | − | 0.741585i | \(-0.265926\pi\) |
0.0372256 | + | 0.999307i | \(0.488148\pi\) | |||||||
\(14\) | 0.673648 | − | 3.82045i | 0.180040 | − | 1.02106i | ||||
\(15\) | −0.152704 | − | 0.866025i | −0.0394279 | − | 0.223607i | ||||
\(16\) | −6.23783 | + | 2.27038i | −1.55946 | + | 0.567596i | ||||
\(17\) | 2.97178 | + | 2.49362i | 0.720763 | + | 0.604792i | 0.927596 | − | 0.373584i | \(-0.121871\pi\) |
−0.206833 | + | 0.978376i | \(0.566316\pi\) | |||||||
\(18\) | −6.51754 | −1.53620 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | −5.94356 | −1.32902 | ||||||||
\(21\) | 0.766044 | + | 0.642788i | 0.167165 | + | 0.140268i | ||||
\(22\) | 2.81908 | − | 1.02606i | 0.601029 | − | 0.218757i | ||||
\(23\) | −0.879385 | − | 4.98724i | −0.183364 | − | 1.03991i | −0.928039 | − | 0.372484i | \(-0.878506\pi\) |
0.744674 | − | 0.667428i | \(-0.232605\pi\) | |||||||
\(24\) | 0.692066 | − | 3.92490i | 0.141267 | − | 0.801168i | ||||
\(25\) | 2.99273 | + | 1.08926i | 0.598545 | + | 0.217853i | ||||
\(26\) | 3.43969 | + | 5.95772i | 0.674579 | + | 1.16841i | ||||
\(27\) | 1.81908 | − | 3.15074i | 0.350082 | − | 0.606359i | ||||
\(28\) | 5.17752 | − | 4.34445i | 0.978459 | − | 0.821025i | ||||
\(29\) | 3.56418 | − | 2.99070i | 0.661851 | − | 0.555359i | −0.248790 | − | 0.968557i | \(-0.580033\pi\) |
0.910641 | + | 0.413198i | \(0.135588\pi\) | |||||||
\(30\) | 1.11334 | − | 1.92836i | 0.203267 | − | 0.352069i | ||||
\(31\) | −1.91875 | − | 3.32337i | −0.344617 | − | 0.596895i | 0.640667 | − | 0.767819i | \(-0.278658\pi\) |
−0.985284 | + | 0.170924i | \(0.945325\pi\) | |||||||
\(32\) | −4.31908 | − | 1.57202i | −0.763512 | − | 0.277896i | ||||
\(33\) | −0.134285 | + | 0.761570i | −0.0233761 | + | 0.132572i | ||||
\(34\) | 1.70574 | + | 9.67372i | 0.292531 | + | 1.65903i | ||||
\(35\) | 1.93969 | − | 0.705990i | 0.327868 | − | 0.119334i | ||||
\(36\) | −8.69846 | − | 7.29888i | −1.44974 | − | 1.21648i | ||||
\(37\) | 4.10607 | 0.675033 | 0.337517 | − | 0.941320i | \(-0.390413\pi\) | ||||
0.337517 | + | 0.941320i | \(0.390413\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1.77332 | −0.283958 | ||||||||
\(40\) | −6.30200 | − | 5.28801i | −0.996434 | − | 0.836108i | ||||
\(41\) | −9.38326 | + | 3.41523i | −1.46542 | + | 0.533369i | −0.946852 | − | 0.321669i | \(-0.895756\pi\) |
−0.518566 | + | 0.855038i | \(0.673534\pi\) | |||||||
\(42\) | 0.439693 | + | 2.49362i | 0.0678460 | + | 0.384774i | ||||
\(43\) | −1.51114 | + | 8.57013i | −0.230447 | + | 1.30693i | 0.621545 | + | 0.783378i | \(0.286505\pi\) |
−0.851993 | + | 0.523554i | \(0.824606\pi\) | |||||||
\(44\) | 4.91147 | + | 1.78763i | 0.740433 | + | 0.269495i | ||||
\(45\) | −1.73396 | − | 3.00330i | −0.258483 | − | 0.447705i | ||||
\(46\) | 6.41147 | − | 11.1050i | 0.945320 | − | 1.63734i | ||||
\(47\) | 0.439693 | − | 0.368946i | 0.0641358 | − | 0.0538163i | −0.610156 | − | 0.792281i | \(-0.708893\pi\) |
0.674292 | + | 0.738465i | \(0.264449\pi\) | |||||||
\(48\) | 3.31908 | − | 2.78504i | 0.479068 | − | 0.401985i | ||||
\(49\) | 2.32635 | − | 4.02936i | 0.332336 | − | 0.575623i | ||||
\(50\) | 4.03209 | + | 6.98378i | 0.570223 | + | 0.987656i | ||||
\(51\) | −2.37939 | − | 0.866025i | −0.333181 | − | 0.121268i | ||||
\(52\) | −2.08125 | + | 11.8034i | −0.288618 | + | 1.63683i | ||||
\(53\) | −0.511144 | − | 2.89884i | −0.0702111 | − | 0.398187i | −0.999579 | − | 0.0290308i | \(-0.990758\pi\) |
0.929367 | − | 0.369156i | \(-0.120353\pi\) | |||||||
\(54\) | 8.65657 | − | 3.15074i | 1.17801 | − | 0.428761i | ||||
\(55\) | 1.22281 | + | 1.02606i | 0.164884 | + | 0.138354i | ||||
\(56\) | 9.35504 | 1.25012 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 11.7811 | 1.54693 | ||||||||
\(59\) | 3.01501 | + | 2.52990i | 0.392521 | + | 0.329365i | 0.817595 | − | 0.575794i | \(-0.195307\pi\) |
−0.425073 | + | 0.905159i | \(0.639752\pi\) | |||||||
\(60\) | 3.64543 | − | 1.32683i | 0.470623 | − | 0.171293i | ||||
\(61\) | −0.784463 | − | 4.44891i | −0.100440 | − | 0.569624i | −0.992944 | − | 0.118585i | \(-0.962164\pi\) |
0.892504 | − | 0.451040i | \(-0.148947\pi\) | |||||||
\(62\) | 1.68732 | − | 9.56926i | 0.214290 | − | 1.21530i | ||||
\(63\) | 3.70574 | + | 1.34878i | 0.466879 | + | 0.169930i | ||||
\(64\) | 0.819078 | + | 1.41868i | 0.102385 | + | 0.177336i | ||||
\(65\) | −1.83022 | + | 3.17004i | −0.227011 | + | 0.393195i | ||||
\(66\) | −1.50000 | + | 1.25865i | −0.184637 | + | 0.154929i | ||||
\(67\) | 2.97771 | − | 2.49860i | 0.363785 | − | 0.305252i | −0.442512 | − | 0.896763i | \(-0.645913\pi\) |
0.806297 | + | 0.591510i | \(0.201468\pi\) | |||||||
\(68\) | −8.55690 | + | 14.8210i | −1.03768 | + | 1.79731i | ||||
\(69\) | 1.65270 | + | 2.86257i | 0.198962 | + | 0.344613i | ||||
\(70\) | 4.91147 | + | 1.78763i | 0.587033 | + | 0.213663i | ||||
\(71\) | 1.20439 | − | 6.83045i | 0.142935 | − | 0.810625i | −0.826067 | − | 0.563572i | \(-0.809427\pi\) |
0.969002 | − | 0.247053i | \(-0.0794622\pi\) | |||||||
\(72\) | −2.72921 | − | 15.4781i | −0.321640 | − | 1.82411i | ||||
\(73\) | −5.75877 | + | 2.09602i | −0.674013 | + | 0.245321i | −0.656275 | − | 0.754522i | \(-0.727869\pi\) |
−0.0177383 | + | 0.999843i | \(0.505647\pi\) | |||||||
\(74\) | 7.96451 | + | 6.68302i | 0.925855 | + | 0.776885i | ||||
\(75\) | −2.07873 | −0.240031 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.81521 | −0.206862 | ||||||||
\(78\) | −3.43969 | − | 2.88624i | −0.389468 | − | 0.326803i | ||||
\(79\) | 9.21688 | − | 3.35467i | 1.03698 | − | 0.377430i | 0.233246 | − | 0.972418i | \(-0.425065\pi\) |
0.803735 | + | 0.594988i | \(0.202843\pi\) | |||||||
\(80\) | −1.55303 | − | 8.80769i | −0.173634 | − | 0.984730i | ||||
\(81\) | 0.928548 | − | 5.26606i | 0.103172 | − | 0.585118i | ||||
\(82\) | −23.7592 | − | 8.64766i | −2.62377 | − | 0.954974i | ||||
\(83\) | −6.15910 | − | 10.6679i | −0.676049 | − | 1.17095i | −0.976161 | − | 0.217047i | \(-0.930357\pi\) |
0.300112 | − | 0.953904i | \(-0.402976\pi\) | |||||||
\(84\) | −2.20574 | + | 3.82045i | −0.240666 | + | 0.416845i | ||||
\(85\) | −4.00387 | + | 3.35965i | −0.434281 | + | 0.364405i | ||||
\(86\) | −16.8799 | + | 14.1639i | −1.82020 | + | 1.52733i | ||||
\(87\) | −1.51842 | + | 2.62998i | −0.162792 | + | 0.281963i | ||||
\(88\) | 3.61721 | + | 6.26519i | 0.385596 | + | 0.667872i | ||||
\(89\) | −2.27972 | − | 0.829748i | −0.241649 | − | 0.0879532i | 0.218356 | − | 0.975869i | \(-0.429930\pi\) |
−0.460006 | + | 0.887916i | \(0.652153\pi\) | |||||||
\(90\) | 1.52481 | − | 8.64766i | 0.160730 | − | 0.911543i | ||||
\(91\) | −0.722811 | − | 4.09927i | −0.0757712 | − | 0.429720i | ||||
\(92\) | 20.9932 | − | 7.64090i | 2.18869 | − | 0.796619i | ||||
\(93\) | 1.91875 | + | 1.61002i | 0.198965 | + | 0.166951i | ||||
\(94\) | 1.45336 | 0.149903 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 3.00000 | 0.306186 | ||||||||
\(97\) | −5.64543 | − | 4.73708i | −0.573207 | − | 0.480977i | 0.309502 | − | 0.950899i | \(-0.399838\pi\) |
−0.882708 | + | 0.469922i | \(0.844282\pi\) | |||||||
\(98\) | 11.0706 | − | 4.02936i | 1.11830 | − | 0.407027i | ||||
\(99\) | 0.529563 | + | 3.00330i | 0.0532231 | + | 0.301843i | ||||
\(100\) | −2.43969 | + | 13.8362i | −0.243969 | + | 1.38362i | ||||
\(101\) | −2.03936 | − | 0.742267i | −0.202924 | − | 0.0738584i | 0.238559 | − | 0.971128i | \(-0.423325\pi\) |
−0.441483 | + | 0.897270i | \(0.645547\pi\) | |||||||
\(102\) | −3.20574 | − | 5.55250i | −0.317415 | − | 0.549779i | ||||
\(103\) | −6.23783 | + | 10.8042i | −0.614631 | + | 1.06457i | 0.375818 | + | 0.926694i | \(0.377362\pi\) |
−0.990449 | + | 0.137879i | \(0.955971\pi\) | |||||||
\(104\) | −12.7083 | + | 10.6635i | −1.24615 | + | 1.04564i | ||||
\(105\) | −1.03209 | + | 0.866025i | −0.100722 | + | 0.0845154i | ||||
\(106\) | 3.72668 | − | 6.45480i | 0.361967 | − | 0.626946i | ||||
\(107\) | −3.34002 | − | 5.78509i | −0.322892 | − | 0.559266i | 0.658191 | − | 0.752851i | \(-0.271322\pi\) |
−0.981083 | + | 0.193585i | \(0.937988\pi\) | |||||||
\(108\) | 15.0817 | + | 5.48930i | 1.45124 | + | 0.528208i | ||||
\(109\) | −1.64156 | + | 9.30975i | −0.157233 | + | 0.891712i | 0.799483 | + | 0.600689i | \(0.205107\pi\) |
−0.956716 | + | 0.291023i | \(0.906004\pi\) | |||||||
\(110\) | 0.701867 | + | 3.98048i | 0.0669204 | + | 0.379524i | ||||
\(111\) | −2.51842 | + | 0.916629i | −0.239038 | + | 0.0870026i | ||||
\(112\) | 7.79086 | + | 6.53731i | 0.736167 | + | 0.617717i | ||||
\(113\) | −1.31046 | −0.123278 | −0.0616388 | − | 0.998099i | \(-0.519633\pi\) | ||||
−0.0616388 | + | 0.998099i | \(0.519633\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.82295 | 0.636243 | ||||||||
\(116\) | 15.7233 | + | 13.1934i | 1.45987 | + | 1.22498i | ||||
\(117\) | −6.57145 | + | 2.39181i | −0.607531 | + | 0.221123i | ||||
\(118\) | 1.73055 | + | 9.81445i | 0.159310 | + | 0.903493i | ||||
\(119\) | 1.03209 | − | 5.85327i | 0.0946114 | − | 0.536568i | ||||
\(120\) | 5.04576 | + | 1.83651i | 0.460613 | + | 0.167649i | ||||
\(121\) | 4.79813 | + | 8.31061i | 0.436194 | + | 0.755510i | ||||
\(122\) | 5.71941 | − | 9.90630i | 0.517811 | − | 0.896875i | ||||
\(123\) | 4.99273 | − | 4.18939i | 0.450179 | − | 0.377745i | ||||
\(124\) | 12.9684 | − | 10.8818i | 1.16459 | − | 0.977211i | ||||
\(125\) | −5.51367 | + | 9.54996i | −0.493158 | + | 0.854174i | ||||
\(126\) | 4.99273 | + | 8.64766i | 0.444787 | + | 0.770394i | ||||
\(127\) | −13.6284 | − | 4.96032i | −1.20932 | − | 0.440157i | −0.342853 | − | 0.939389i | \(-0.611393\pi\) |
−0.866468 | + | 0.499232i | \(0.833615\pi\) | |||||||
\(128\) | −2.31655 | + | 13.1378i | −0.204756 | + | 1.16123i | ||||
\(129\) | −0.986329 | − | 5.59375i | −0.0868415 | − | 0.492502i | ||||
\(130\) | −8.70961 | + | 3.17004i | −0.763883 | + | 0.278031i | ||||
\(131\) | −15.1741 | − | 12.7326i | −1.32577 | − | 1.11245i | −0.985047 | − | 0.172288i | \(-0.944884\pi\) |
−0.340722 | − | 0.940164i | \(-0.610671\pi\) | |||||||
\(132\) | −3.41147 | −0.296931 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 9.84255 | 0.850267 | ||||||||
\(135\) | 3.75490 | + | 3.15074i | 0.323170 | + | 0.271172i | ||||
\(136\) | −22.2592 | + | 8.10170i | −1.90871 | + | 0.694715i | ||||
\(137\) | 1.77197 | + | 10.0494i | 0.151390 | + | 0.858575i | 0.962012 | + | 0.273006i | \(0.0880179\pi\) |
−0.810622 | + | 0.585569i | \(0.800871\pi\) | |||||||
\(138\) | −1.45336 | + | 8.24243i | −0.123718 | + | 0.701642i | ||||
\(139\) | 1.56031 | + | 0.567905i | 0.132344 | + | 0.0481691i | 0.407343 | − | 0.913275i | \(-0.366455\pi\) |
−0.274999 | + | 0.961444i | \(0.588678\pi\) | |||||||
\(140\) | 4.55303 | + | 7.88609i | 0.384802 | + | 0.666496i | ||||
\(141\) | −0.187319 | + | 0.324446i | −0.0157751 | + | 0.0273232i | ||||
\(142\) | 13.4534 | − | 11.2887i | 1.12898 | − | 0.947328i | ||||
\(143\) | 2.46585 | − | 2.06910i | 0.206205 | − | 0.173026i | ||||
\(144\) | 8.54323 | − | 14.7973i | 0.711936 | − | 1.23311i | ||||
\(145\) | 3.13429 | + | 5.42874i | 0.260288 | + | 0.450832i | ||||
\(146\) | −14.5817 | − | 5.30731i | −1.20679 | − | 0.439236i | ||||
\(147\) | −0.527341 | + | 2.99070i | −0.0434944 | + | 0.246669i | ||||
\(148\) | 3.14543 | + | 17.8386i | 0.258553 | + | 1.46633i | ||||
\(149\) | −10.5312 | + | 3.83305i | −0.862750 | + | 0.314015i | −0.735228 | − | 0.677820i | \(-0.762925\pi\) |
−0.127523 | + | 0.991836i | \(0.540703\pi\) | |||||||
\(150\) | −4.03209 | − | 3.38332i | −0.329219 | − | 0.276247i | ||||
\(151\) | 11.0419 | 0.898576 | 0.449288 | − | 0.893387i | \(-0.351678\pi\) | ||||
0.449288 | + | 0.893387i | \(0.351678\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −9.98545 | −0.807276 | ||||||||
\(154\) | −3.52094 | − | 2.95442i | −0.283726 | − | 0.238074i | ||||
\(155\) | 4.85844 | − | 1.76833i | 0.390239 | − | 0.142036i | ||||
\(156\) | −1.35844 | − | 7.70410i | −0.108762 | − | 0.616822i | ||||
\(157\) | 1.90895 | − | 10.8262i | 0.152351 | − | 0.864023i | −0.808817 | − | 0.588060i | \(-0.799892\pi\) |
0.961168 | − | 0.275964i | \(-0.0889969\pi\) | |||||||
\(158\) | 23.3380 | + | 8.49432i | 1.85667 | + | 0.675772i | ||||
\(159\) | 0.960637 | + | 1.66387i | 0.0761835 | + | 0.131954i | ||||
\(160\) | 3.09627 | − | 5.36289i | 0.244781 | − | 0.423974i | ||||
\(161\) | −5.94356 | + | 4.98724i | −0.468418 | + | 0.393050i | ||||
\(162\) | 10.3721 | − | 8.70323i | 0.814910 | − | 0.683791i | ||||
\(163\) | 3.16637 | − | 5.48432i | 0.248010 | − | 0.429565i | −0.714964 | − | 0.699161i | \(-0.753557\pi\) |
0.962973 | + | 0.269596i | \(0.0868902\pi\) | |||||||
\(164\) | −22.0253 | − | 38.1489i | −1.71989 | − | 2.97893i | ||||
\(165\) | −0.979055 | − | 0.356347i | −0.0762194 | − | 0.0277416i | ||||
\(166\) | 5.41622 | − | 30.7169i | 0.420380 | − | 2.38410i | ||||
\(167\) | 2.39259 | + | 13.5690i | 0.185144 | + | 1.05000i | 0.925770 | + | 0.378087i | \(0.123418\pi\) |
−0.740626 | + | 0.671917i | \(0.765471\pi\) | |||||||
\(168\) | −5.73783 | + | 2.08840i | −0.442683 | + | 0.161123i | ||||
\(169\) | −4.30406 | − | 3.61154i | −0.331082 | − | 0.277811i | ||||
\(170\) | −13.2344 | −1.01503 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −38.3901 | −2.92722 | ||||||||
\(173\) | −19.3405 | − | 16.2286i | −1.47043 | − | 1.23384i | −0.915734 | − | 0.401784i | \(-0.868390\pi\) |
−0.554696 | − | 0.832053i | \(-0.687165\pi\) | |||||||
\(174\) | −7.22580 | + | 2.62998i | −0.547787 | + | 0.199378i | ||||
\(175\) | −0.847296 | − | 4.80526i | −0.0640496 | − | 0.363243i | ||||
\(176\) | −1.36571 | + | 7.74535i | −0.102945 | + | 0.583828i | ||||
\(177\) | −2.41400 | − | 0.878624i | −0.181447 | − | 0.0660414i | ||||
\(178\) | −3.07145 | − | 5.31991i | −0.230215 | − | 0.398744i | ||||
\(179\) | 2.91534 | − | 5.04952i | 0.217903 | − | 0.377419i | −0.736264 | − | 0.676695i | \(-0.763412\pi\) |
0.954167 | + | 0.299276i | \(0.0967450\pi\) | |||||||
\(180\) | 11.7194 | − | 9.83375i | 0.873513 | − | 0.732964i | ||||
\(181\) | −10.3892 | + | 8.71756i | −0.772222 | + | 0.647971i | −0.941277 | − | 0.337635i | \(-0.890373\pi\) |
0.169055 | + | 0.985607i | \(0.445928\pi\) | |||||||
\(182\) | 5.26991 | − | 9.12776i | 0.390632 | − | 0.676595i | ||||
\(183\) | 1.47431 | + | 2.55358i | 0.108984 | + | 0.188766i | ||||
\(184\) | 29.0574 | + | 10.5760i | 2.14214 | + | 0.779674i | ||||
\(185\) | −0.960637 | + | 5.44804i | −0.0706274 | + | 0.400548i | ||||
\(186\) | 1.10132 | + | 6.24589i | 0.0807526 | + | 0.457971i | ||||
\(187\) | 4.31908 | − | 1.57202i | 0.315842 | − | 0.114957i | ||||
\(188\) | 1.93969 | + | 1.62760i | 0.141467 | + | 0.118705i | ||||
\(189\) | −5.57398 | −0.405447 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −10.2841 | −0.744128 | −0.372064 | − | 0.928207i | \(-0.621350\pi\) | ||||
−0.372064 | + | 0.928207i | \(0.621350\pi\) | |||||||
\(192\) | −0.819078 | − | 0.687288i | −0.0591119 | − | 0.0496007i | ||||
\(193\) | 12.9684 | − | 4.72010i | 0.933484 | − | 0.339760i | 0.169895 | − | 0.985462i | \(-0.445657\pi\) |
0.763590 | + | 0.645702i | \(0.223435\pi\) | |||||||
\(194\) | −3.24035 | − | 18.3770i | −0.232644 | − | 1.31939i | ||||
\(195\) | 0.414878 | − | 2.35289i | 0.0297100 | − | 0.168494i | ||||
\(196\) | 19.2875 | + | 7.02006i | 1.37768 | + | 0.501433i | ||||
\(197\) | 3.97044 | + | 6.87700i | 0.282882 | + | 0.489966i | 0.972093 | − | 0.234594i | \(-0.0753762\pi\) |
−0.689211 | + | 0.724560i | \(0.742043\pi\) | |||||||
\(198\) | −3.86097 | + | 6.68739i | −0.274387 | + | 0.475252i | ||||
\(199\) | 20.7101 | − | 17.3778i | 1.46810 | − | 1.23188i | 0.550219 | − | 0.835020i | \(-0.314544\pi\) |
0.917879 | − | 0.396861i | \(-0.129900\pi\) | |||||||
\(200\) | −14.8969 | + | 12.5000i | −1.05337 | + | 0.883884i | ||||
\(201\) | −1.26857 | + | 2.19723i | −0.0894781 | + | 0.154981i | ||||
\(202\) | −2.74763 | − | 4.75903i | −0.193322 | − | 0.334844i | ||||
\(203\) | −6.69846 | − | 2.43804i | −0.470140 | − | 0.171117i | ||||
\(204\) | 1.93969 | − | 11.0005i | 0.135806 | − | 0.770192i | ||||
\(205\) | −2.33615 | − | 13.2490i | −0.163164 | − | 0.925349i | ||||
\(206\) | −29.6844 | + | 10.8042i | −2.06821 | + | 0.752766i | ||||
\(207\) | 9.98545 | + | 8.37879i | 0.694037 | + | 0.582366i | ||||
\(208\) | −18.0351 | −1.25051 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −3.41147 | −0.235414 | ||||||||
\(211\) | 6.18345 | + | 5.18853i | 0.425686 | + | 0.357193i | 0.830321 | − | 0.557285i | \(-0.188157\pi\) |
−0.404635 | + | 0.914478i | \(0.632601\pi\) | |||||||
\(212\) | 12.2023 | − | 4.44129i | 0.838060 | − | 0.305029i | ||||
\(213\) | 0.786112 | + | 4.45826i | 0.0538635 | + | 0.305475i | ||||
\(214\) | 2.93717 | − | 16.6575i | 0.200781 | − | 1.13868i | ||||
\(215\) | −11.0175 | − | 4.01006i | −0.751390 | − | 0.273484i | ||||
\(216\) | 11.1074 | + | 19.2386i | 0.755764 | + | 1.30902i | ||||
\(217\) | −2.93969 | + | 5.09170i | −0.199559 | + | 0.345647i | ||||
\(218\) | −18.3366 | + | 15.3863i | −1.24191 | + | 1.04209i | ||||
\(219\) | 3.06418 | − | 2.57115i | 0.207058 | − | 0.173742i | ||||
\(220\) | −3.52094 | + | 6.09845i | −0.237382 | + | 0.411158i | ||||
\(221\) | 5.26991 | + | 9.12776i | 0.354493 | + | 0.614000i | ||||
\(222\) | −6.37686 | − | 2.32099i | −0.427987 | − | 0.155774i | ||||
\(223\) | 2.68732 | − | 15.2405i | 0.179956 | − | 1.02058i | −0.752310 | − | 0.658809i | \(-0.771060\pi\) |
0.932266 | − | 0.361773i | \(-0.117828\pi\) | |||||||
\(224\) | 1.22281 | + | 6.93491i | 0.0817025 | + | 0.463358i | ||||
\(225\) | −7.70321 | + | 2.80374i | −0.513547 | + | 0.186916i | ||||
\(226\) | −2.54189 | − | 2.13290i | −0.169084 | − | 0.141878i | ||||
\(227\) | −9.87258 | −0.655266 | −0.327633 | − | 0.944805i | \(-0.606251\pi\) | ||||
−0.327633 | + | 0.944805i | \(0.606251\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 20.1189 | 1.32949 | 0.664746 | − | 0.747070i | \(-0.268540\pi\) | ||||
0.664746 | + | 0.747070i | \(0.268540\pi\) | |||||||
\(230\) | 13.2344 | + | 11.1050i | 0.872652 | + | 0.732242i | ||||
\(231\) | 1.11334 | − | 0.405223i | 0.0732524 | − | 0.0266617i | ||||
\(232\) | 4.93330 | + | 27.9781i | 0.323887 | + | 1.83685i | ||||
\(233\) | 0.613808 | − | 3.48108i | 0.0402119 | − | 0.228053i | −0.958078 | − | 0.286507i | \(-0.907506\pi\) |
0.998290 | + | 0.0584538i | \(0.0186170\pi\) | |||||||
\(234\) | −16.6395 | − | 6.05628i | −1.08776 | − | 0.395912i | ||||
\(235\) | 0.386659 | + | 0.669713i | 0.0252229 | + | 0.0436873i | ||||
\(236\) | −8.68139 | + | 15.0366i | −0.565110 | + | 0.978800i | ||||
\(237\) | −4.90420 | + | 4.11511i | −0.318562 | + | 0.267305i | ||||
\(238\) | 11.5287 | − | 9.67372i | 0.747294 | − | 0.627054i | ||||
\(239\) | −5.98680 | + | 10.3694i | −0.387254 | + | 0.670743i | −0.992079 | − | 0.125615i | \(-0.959910\pi\) |
0.604825 | + | 0.796358i | \(0.293243\pi\) | |||||||
\(240\) | 2.91875 | + | 5.05542i | 0.188404 | + | 0.326326i | ||||
\(241\) | 12.1236 | + | 4.41263i | 0.780950 | + | 0.284243i | 0.701569 | − | 0.712602i | \(-0.252483\pi\) |
0.0793814 | + | 0.996844i | \(0.474706\pi\) | |||||||
\(242\) | −4.21941 | + | 23.9294i | −0.271234 | + | 1.53824i | ||||
\(243\) | 2.50134 | + | 14.1858i | 0.160461 | + | 0.910021i | ||||
\(244\) | 18.7271 | − | 6.81612i | 1.19888 | − | 0.436358i | ||||
\(245\) | 4.80200 | + | 4.02936i | 0.306789 | + | 0.257426i | ||||
\(246\) | 16.5030 | 1.05219 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 23.4320 | 1.48793 | ||||||||
\(249\) | 6.15910 | + | 5.16810i | 0.390317 | + | 0.327515i | ||||
\(250\) | −26.2383 | + | 9.54996i | −1.65946 | + | 0.603992i | ||||
\(251\) | 2.49407 | + | 14.1446i | 0.157424 | + | 0.892798i | 0.956536 | + | 0.291615i | \(0.0941925\pi\) |
−0.799112 | + | 0.601183i | \(0.794696\pi\) | |||||||
\(252\) | −3.02094 | + | 17.1326i | −0.190302 | + | 1.07925i | ||||
\(253\) | −5.63816 | − | 2.05212i | −0.354468 | − | 0.129016i | ||||
\(254\) | −18.3614 | − | 31.8029i | −1.15210 | − | 1.99549i | ||||
\(255\) | 1.70574 | − | 2.95442i | 0.106817 | − | 0.185013i | ||||
\(256\) | −23.3666 | + | 19.6069i | −1.46042 | + | 1.22543i | ||||
\(257\) | −3.81315 | + | 3.19961i | −0.237858 | + | 0.199586i | −0.753923 | − | 0.656963i | \(-0.771841\pi\) |
0.516065 | + | 0.856549i | \(0.327396\pi\) | |||||||
\(258\) | 7.19119 | − | 12.4555i | 0.447704 | − | 0.775446i | ||||
\(259\) | −3.14543 | − | 5.44804i | −0.195447 | − | 0.338525i | ||||
\(260\) | −15.1741 | − | 5.52293i | −0.941059 | − | 0.342517i | ||||
\(261\) | −2.07960 | + | 11.7940i | −0.128724 | + | 0.730031i | ||||
\(262\) | −8.70961 | − | 49.3946i | −0.538081 | − | 3.05161i | ||||
\(263\) | 22.5929 | − | 8.22313i | 1.39314 | − | 0.507060i | 0.467002 | − | 0.884256i | \(-0.345334\pi\) |
0.926133 | + | 0.377196i | \(0.123112\pi\) | |||||||
\(264\) | −3.61721 | − | 3.03520i | −0.222624 | − | 0.186804i | ||||
\(265\) | 3.96585 | 0.243620 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 1.58347 | 0.0969070 | ||||||||
\(268\) | 13.1361 | + | 11.0225i | 0.802415 | + | 0.673306i | ||||
\(269\) | −12.3204 | + | 4.48427i | −0.751189 | + | 0.273411i | −0.689106 | − | 0.724660i | \(-0.741997\pi\) |
−0.0620832 | + | 0.998071i | \(0.519774\pi\) | |||||||
\(270\) | 2.15523 | + | 12.2229i | 0.131163 | + | 0.743863i | ||||
\(271\) | −4.61381 | + | 26.1662i | −0.280269 | + | 1.58948i | 0.441443 | + | 0.897290i | \(0.354467\pi\) |
−0.721711 | + | 0.692194i | \(0.756644\pi\) | |||||||
\(272\) | −24.1989 | − | 8.80769i | −1.46728 | − | 0.534045i | ||||
\(273\) | 1.35844 | + | 2.35289i | 0.0822166 | + | 0.142403i | ||||
\(274\) | −12.9192 | + | 22.3767i | −0.780478 | + | 1.35183i | ||||
\(275\) | 2.89053 | − | 2.42544i | 0.174305 | − | 0.146260i | ||||
\(276\) | −11.1702 | + | 9.37295i | −0.672370 | + | 0.564185i | ||||
\(277\) | 8.25537 | − | 14.2987i | 0.496017 | − | 0.859127i | −0.503973 | − | 0.863720i | \(-0.668129\pi\) |
0.999989 | + | 0.00459317i | \(0.00146206\pi\) | |||||||
\(278\) | 2.10220 | + | 3.64111i | 0.126081 | + | 0.218379i | ||||
\(279\) | 9.28194 | + | 3.37835i | 0.555695 | + | 0.202256i | ||||
\(280\) | −2.18866 | + | 12.4125i | −0.130798 | + | 0.741790i | ||||
\(281\) | 3.36706 | + | 19.0955i | 0.200862 | + | 1.13914i | 0.903820 | + | 0.427913i | \(0.140751\pi\) |
−0.702958 | + | 0.711231i | \(0.748138\pi\) | |||||||
\(282\) | −0.891407 | + | 0.324446i | −0.0530825 | + | 0.0193205i | ||||
\(283\) | −8.66431 | − | 7.27022i | −0.515040 | − | 0.432170i | 0.347859 | − | 0.937547i | \(-0.386909\pi\) |
−0.862899 | + | 0.505377i | \(0.831353\pi\) | |||||||
\(284\) | 30.5972 | 1.81561 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 8.15064 | 0.481958 | ||||||||
\(287\) | 11.7194 | + | 9.83375i | 0.691775 | + | 0.580468i | ||||
\(288\) | 11.1172 | − | 4.04633i | 0.655088 | − | 0.238433i | ||||
\(289\) | −0.338678 | − | 1.92074i | −0.0199222 | − | 0.112985i | ||||
\(290\) | −2.75624 | + | 15.6314i | −0.161852 | + | 0.917910i | ||||
\(291\) | 4.52007 | + | 1.64517i | 0.264971 | + | 0.0964416i | ||||
\(292\) | −13.5175 | − | 23.4131i | −0.791054 | − | 1.37015i | ||||
\(293\) | 1.94949 | − | 3.37662i | 0.113891 | − | 0.197264i | −0.803445 | − | 0.595379i | \(-0.797002\pi\) |
0.917336 | + | 0.398115i | \(0.130335\pi\) | |||||||
\(294\) | −5.89053 | + | 4.94274i | −0.343543 | + | 0.288267i | ||||
\(295\) | −4.06212 | + | 3.40852i | −0.236506 | + | 0.198452i | ||||
\(296\) | −12.5360 | + | 21.7129i | −0.728638 | + | 1.26204i | ||||
\(297\) | −2.15523 | − | 3.73297i | −0.125059 | − | 0.216609i | ||||
\(298\) | −26.6660 | − | 9.70562i | −1.54472 | − | 0.562231i | ||||
\(299\) | 2.38919 | − | 13.5497i | 0.138170 | − | 0.783602i | ||||
\(300\) | −1.59240 | − | 9.03093i | −0.0919370 | − | 0.521401i | ||||
\(301\) | 12.5287 | − | 4.56007i | 0.722141 | − | 0.262838i | ||||
\(302\) | 21.4179 | + | 17.9717i | 1.23246 | + | 1.03416i | ||||
\(303\) | 1.41653 | 0.0813773 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 6.08647 | 0.348510 | ||||||||
\(306\) | −19.3687 | − | 16.2523i | −1.10724 | − | 0.929081i | ||||
\(307\) | 21.7777 | − | 7.92642i | 1.24292 | − | 0.452385i | 0.364914 | − | 0.931041i | \(-0.381098\pi\) |
0.878002 | + | 0.478657i | \(0.158876\pi\) | |||||||
\(308\) | −1.39053 | − | 7.88609i | −0.0792328 | − | 0.449351i | ||||
\(309\) | 1.41400 | − | 8.01919i | 0.0804397 | − | 0.456196i | ||||
\(310\) | 12.3020 | + | 4.47756i | 0.698707 | + | 0.254308i | ||||
\(311\) | 1.73055 | + | 2.99740i | 0.0981306 | + | 0.169967i | 0.910911 | − | 0.412603i | \(-0.135380\pi\) |
−0.812780 | + | 0.582570i | \(0.802047\pi\) | |||||||
\(312\) | 5.41400 | − | 9.37732i | 0.306507 | − | 0.530886i | ||||
\(313\) | −17.5346 | + | 14.7133i | −0.991115 | + | 0.831644i | −0.985729 | − | 0.168341i | \(-0.946159\pi\) |
−0.00538626 | + | 0.999985i | \(0.501715\pi\) | |||||||
\(314\) | 21.3234 | − | 17.8925i | 1.20335 | − | 1.00973i | ||||
\(315\) | −2.65657 | + | 4.60132i | −0.149681 | + | 0.259255i | ||||
\(316\) | 21.6348 | + | 37.4725i | 1.21705 | + | 2.10799i | ||||
\(317\) | 24.5453 | + | 8.93378i | 1.37860 | + | 0.501771i | 0.921755 | − | 0.387773i | \(-0.126756\pi\) |
0.456849 | + | 0.889544i | \(0.348978\pi\) | |||||||
\(318\) | −0.844770 | + | 4.79093i | −0.0473724 | + | 0.268662i | ||||
\(319\) | −0.957234 | − | 5.42874i | −0.0535948 | − | 0.303951i | ||||
\(320\) | −2.07398 | + | 0.754866i | −0.115939 | + | 0.0421983i | ||||
\(321\) | 3.34002 | + | 2.80261i | 0.186422 | + | 0.156427i | ||||
\(322\) | −19.6459 | −1.09482 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 23.5895 | 1.31053 | ||||||||
\(325\) | 6.62836 | + | 5.56185i | 0.367675 | + | 0.308516i | ||||
\(326\) | 15.0680 | − | 5.48432i | 0.834542 | − | 0.303748i | ||||
\(327\) | −1.07145 | − | 6.07650i | −0.0592514 | − | 0.336031i | ||||
\(328\) | 10.5876 | − | 60.0455i | 0.584605 | − | 3.31546i | ||||
\(329\) | −0.826352 | − | 0.300767i | −0.0455583 | − | 0.0165818i | ||||
\(330\) | −1.31908 | − | 2.28471i | −0.0726128 | − | 0.125769i | ||||
\(331\) | 9.52229 | − | 16.4931i | 0.523392 | − | 0.906542i | −0.476237 | − | 0.879317i | \(-0.658000\pi\) |
0.999629 | − | 0.0272251i | \(-0.00866710\pi\) | |||||||
\(332\) | 41.6279 | − | 34.9300i | 2.28463 | − | 1.91703i | ||||
\(333\) | −8.09627 | + | 6.79357i | −0.443673 | + | 0.372286i | ||||
\(334\) | −17.4440 | + | 30.2139i | −0.954495 | + | 1.65323i | ||||
\(335\) | 2.61856 | + | 4.53547i | 0.143067 | + | 0.247799i | ||||
\(336\) | −6.23783 | − | 2.27038i | −0.340301 | − | 0.123860i | ||||
\(337\) | −0.295445 | + | 1.67555i | −0.0160939 | + | 0.0912731i | −0.991797 | − | 0.127825i | \(-0.959200\pi\) |
0.975703 | + | 0.219098i | \(0.0703115\pi\) | |||||||
\(338\) | −2.47044 | − | 14.0105i | −0.134374 | − | 0.762073i | ||||
\(339\) | 0.803758 | − | 0.292544i | 0.0436542 | − | 0.0158888i | ||||
\(340\) | −17.6630 | − | 14.8210i | −0.957909 | − | 0.803781i | ||||
\(341\) | −4.54664 | −0.246214 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.8530 | −0.963970 | ||||||||
\(344\) | −40.7053 | − | 34.1558i | −2.19468 | − | 1.84156i | ||||
\(345\) | −4.18479 | + | 1.52314i | −0.225302 | + | 0.0820031i | ||||
\(346\) | −11.1010 | − | 62.9570i | −0.596794 | − | 3.38459i | ||||
\(347\) | −0.851167 | + | 4.82721i | −0.0456930 | + | 0.259138i | −0.999094 | − | 0.0425697i | \(-0.986446\pi\) |
0.953400 | + | 0.301708i | \(0.0975567\pi\) | |||||||
\(348\) | −12.5890 | − | 4.58202i | −0.674841 | − | 0.245622i | ||||
\(349\) | 14.0646 | + | 24.3607i | 0.752863 | + | 1.30400i | 0.946430 | + | 0.322910i | \(0.104661\pi\) |
−0.193566 | + | 0.981087i | \(0.562006\pi\) | |||||||
\(350\) | 6.17752 | − | 10.6998i | 0.330202 | − | 0.571927i | ||||
\(351\) | 7.57192 | − | 6.35359i | 0.404159 | − | 0.339130i | ||||
\(352\) | −4.17159 | + | 3.50038i | −0.222346 | + | 0.186571i | ||||
\(353\) | 4.15998 | − | 7.20529i | 0.221413 | − | 0.383499i | −0.733824 | − | 0.679340i | \(-0.762266\pi\) |
0.955237 | + | 0.295841i | \(0.0955997\pi\) | |||||||
\(354\) | −3.25237 | − | 5.63328i | −0.172862 | − | 0.299405i | ||||
\(355\) | 8.78106 | + | 3.19604i | 0.466050 | + | 0.169628i | ||||
\(356\) | 1.85844 | − | 10.5397i | 0.0984972 | − | 0.558605i | ||||
\(357\) | 0.673648 | + | 3.82045i | 0.0356532 | + | 0.202200i | ||||
\(358\) | 13.8735 | − | 5.04952i | 0.733235 | − | 0.266876i | ||||
\(359\) | 19.0967 | + | 16.0241i | 1.00789 | + | 0.845718i | 0.988057 | − | 0.154086i | \(-0.0492432\pi\) |
0.0198296 | + | 0.999803i | \(0.493688\pi\) | |||||||
\(360\) | 21.1753 | 1.11604 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | −34.3405 | −1.80490 | ||||||||
\(363\) | −4.79813 | − | 4.02611i | −0.251837 | − | 0.211316i | ||||
\(364\) | 17.2554 | − | 6.28044i | 0.904427 | − | 0.329184i | ||||
\(365\) | −1.43376 | − | 8.13127i | −0.0750466 | − | 0.425610i | ||||
\(366\) | −1.29648 | + | 7.35273i | −0.0677683 | + | 0.384333i | ||||
\(367\) | 2.42989 | + | 0.884409i | 0.126839 | + | 0.0461657i | 0.404660 | − | 0.914467i | \(-0.367390\pi\) |
−0.277821 | + | 0.960633i | \(0.589612\pi\) | |||||||
\(368\) | 16.8084 | + | 29.1130i | 0.876198 | + | 1.51762i | ||||
\(369\) | 12.8512 | − | 22.2589i | 0.669005 | − | 1.15875i | ||||
\(370\) | −10.7306 | + | 9.00400i | −0.557855 | + | 0.468096i | ||||
\(371\) | −3.45471 | + | 2.89884i | −0.179359 | + | 0.150500i | ||||
\(372\) | −5.52481 | + | 9.56926i | −0.286448 | + | 0.496143i | ||||
\(373\) | −11.6917 | − | 20.2505i | −0.605371 | − | 1.04853i | −0.991993 | − | 0.126295i | \(-0.959691\pi\) |
0.386622 | − | 0.922238i | \(-0.373642\pi\) | |||||||
\(374\) | 10.9363 | + | 3.98048i | 0.565502 | + | 0.205826i | ||||
\(375\) | 1.24985 | − | 7.08824i | 0.0645419 | − | 0.366035i | ||||
\(376\) | 0.608593 | + | 3.45150i | 0.0313858 | + | 0.177998i | ||||
\(377\) | 11.8785 | − | 4.32342i | 0.611774 | − | 0.222668i | ||||
\(378\) | −10.8118 | − | 9.07218i | −0.556099 | − | 0.466623i | ||||
\(379\) | −25.4388 | −1.30670 | −0.653352 | − | 0.757054i | \(-0.726638\pi\) | ||||
−0.653352 | + | 0.757054i | \(0.726638\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 9.46616 | 0.484966 | ||||||||
\(382\) | −19.9479 | − | 16.7383i | −1.02062 | − | 0.856405i | ||||
\(383\) | −25.8234 | + | 9.39895i | −1.31951 | + | 0.480264i | −0.903303 | − | 0.429003i | \(-0.858865\pi\) |
−0.416212 | + | 0.909268i | \(0.636643\pi\) | |||||||
\(384\) | −1.51202 | − | 8.57510i | −0.0771600 | − | 0.437596i | ||||
\(385\) | 0.424678 | − | 2.40847i | 0.0216436 | − | 0.122747i | ||||
\(386\) | 32.8371 | + | 11.9517i | 1.67136 | + | 0.608327i | ||||
\(387\) | −11.1998 | − | 19.3986i | −0.569318 | − | 0.986088i | ||||
\(388\) | 16.2554 | − | 28.1551i | 0.825241 | − | 1.42936i | ||||
\(389\) | −2.56031 | + | 2.14835i | −0.129813 | + | 0.108926i | −0.705383 | − | 0.708827i | \(-0.749225\pi\) |
0.575570 | + | 0.817753i | \(0.304780\pi\) | |||||||
\(390\) | 4.63429 | − | 3.88863i | 0.234666 | − | 0.196908i | ||||
\(391\) | 9.82295 | − | 17.0138i | 0.496768 | − | 0.860427i | ||||
\(392\) | 14.2049 | + | 24.6035i | 0.717454 | + | 1.24267i | ||||
\(393\) | 12.1493 | + | 4.42198i | 0.612851 | + | 0.223060i | ||||
\(394\) | −3.49154 | + | 19.8015i | −0.175901 | + | 0.997587i | ||||
\(395\) | 2.29473 | + | 13.0141i | 0.115460 | + | 0.654808i | ||||
\(396\) | −12.6420 | + | 4.60132i | −0.635286 | + | 0.231225i | ||||
\(397\) | −10.0530 | − | 8.43550i | −0.504547 | − | 0.423365i | 0.354658 | − | 0.934996i | \(-0.384597\pi\) |
−0.859206 | + | 0.511631i | \(0.829042\pi\) | |||||||
\(398\) | 68.4552 | 3.43135 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −21.1411 | −1.05706 | ||||||||
\(401\) | −13.1099 | − | 11.0005i | −0.654679 | − | 0.549341i | 0.253808 | − | 0.967255i | \(-0.418317\pi\) |
−0.908487 | + | 0.417914i | \(0.862761\pi\) | |||||||
\(402\) | −6.03684 | + | 2.19723i | −0.301090 | + | 0.109588i | ||||
\(403\) | −1.81046 | − | 10.2676i | −0.0901854 | − | 0.511467i | ||||
\(404\) | 1.66250 | − | 9.42853i | 0.0827127 | − | 0.469087i | ||||
\(405\) | 6.76991 | + | 2.46405i | 0.336400 | + | 0.122440i | ||||
\(406\) | −9.02481 | − | 15.6314i | −0.447894 | − | 0.775775i | ||||
\(407\) | 2.43242 | − | 4.21307i | 0.120571 | − | 0.208834i | ||||
\(408\) | 11.8439 | − | 9.93821i | 0.586360 | − | 0.492015i | ||||
\(409\) | 6.73964 | − | 5.65523i | 0.333254 | − | 0.279633i | −0.460770 | − | 0.887519i | \(-0.652427\pi\) |
0.794024 | + | 0.607886i | \(0.207982\pi\) | |||||||
\(410\) | 17.0326 | − | 29.5013i | 0.841178 | − | 1.45696i | ||||
\(411\) | −3.33022 | − | 5.76811i | −0.164268 | − | 0.284520i | ||||
\(412\) | −51.7169 | − | 18.8234i | −2.54791 | − | 0.927364i | ||||
\(413\) | 1.04710 | − | 5.93842i | 0.0515246 | − | 0.292211i | ||||
\(414\) | 5.73143 | + | 32.5046i | 0.281684 | + | 1.59751i | ||||
\(415\) | 15.5954 | − | 5.67626i | 0.765548 | − | 0.278637i | ||||
\(416\) | −9.56599 | − | 8.02682i | −0.469011 | − | 0.393547i | ||||
\(417\) | −1.08378 | −0.0530728 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 6.84018 | 0.334165 | 0.167082 | − | 0.985943i | \(-0.446565\pi\) | ||||
0.167082 | + | 0.985943i | \(0.446565\pi\) | |||||||
\(420\) | −4.55303 | − | 3.82045i | −0.222165 | − | 0.186419i | ||||
\(421\) | −4.53209 | + | 1.64955i | −0.220880 | + | 0.0803939i | −0.450090 | − | 0.892983i | \(-0.648608\pi\) |
0.229210 | + | 0.973377i | \(0.426386\pi\) | |||||||
\(422\) | 3.54916 | + | 20.1283i | 0.172771 | + | 0.979830i | ||||
\(423\) | −0.256549 | + | 1.45496i | −0.0124738 | + | 0.0707426i | ||||
\(424\) | 16.8897 | + | 6.14733i | 0.820234 | + | 0.298541i | ||||
\(425\) | 6.17752 | + | 10.6998i | 0.299654 | + | 0.519015i | ||||
\(426\) | −5.73143 | + | 9.92713i | −0.277689 | + | 0.480971i | ||||
\(427\) | −5.30200 | + | 4.44891i | −0.256582 | + | 0.215298i | ||||
\(428\) | 22.5744 | − | 18.9422i | 1.09118 | − | 0.915606i | ||||
\(429\) | −1.05051 | + | 1.81953i | −0.0507190 | + | 0.0878478i | ||||
\(430\) | −14.8439 | − | 25.7104i | −0.715836 | − | 1.23986i | ||||
\(431\) | 1.22503 | + | 0.445875i | 0.0590077 | + | 0.0214771i | 0.371355 | − | 0.928491i | \(-0.378893\pi\) |
−0.312348 | + | 0.949968i | \(0.601115\pi\) | |||||||
\(432\) | −4.19372 | + | 23.7837i | −0.201770 | + | 1.14430i | ||||
\(433\) | −3.44238 | − | 19.5227i | −0.165430 | − | 0.938202i | −0.948620 | − | 0.316419i | \(-0.897520\pi\) |
0.783189 | − | 0.621783i | \(-0.213591\pi\) | |||||||
\(434\) | −13.9893 | + | 5.09170i | −0.671509 | + | 0.244409i | ||||
\(435\) | −3.13429 | − | 2.62998i | −0.150277 | − | 0.126098i | ||||
\(436\) | −41.7033 | −1.99722 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 10.1284 | 0.483952 | ||||||||
\(439\) | 26.4800 | + | 22.2193i | 1.26382 | + | 1.06047i | 0.995264 | + | 0.0972078i | \(0.0309912\pi\) |
0.268557 | + | 0.963264i | \(0.413453\pi\) | |||||||
\(440\) | −9.15910 | + | 3.33364i | −0.436643 | + | 0.158925i | ||||
\(441\) | 2.07960 | + | 11.7940i | 0.0990287 | + | 0.561620i | ||||
\(442\) | −4.63429 | + | 26.2823i | −0.220430 | + | 1.25012i | ||||
\(443\) | −15.9843 | − | 5.81780i | −0.759436 | − | 0.276412i | −0.0668650 | − | 0.997762i | \(-0.521300\pi\) |
−0.692571 | + | 0.721350i | \(0.743522\pi\) | |||||||
\(444\) | −5.91147 | − | 10.2390i | −0.280546 | − | 0.485920i | ||||
\(445\) | 1.63429 | − | 2.83067i | 0.0774726 | − | 0.134186i | ||||
\(446\) | 30.0180 | − | 25.1881i | 1.42139 | − | 1.19269i | ||||
\(447\) | 5.60354 | − | 4.70193i | 0.265038 | − | 0.222394i | ||||
\(448\) | 1.25490 | − | 2.17355i | 0.0592885 | − | 0.102691i | ||||
\(449\) | 18.7049 | + | 32.3978i | 0.882737 | + | 1.52895i | 0.848286 | + | 0.529539i | \(0.177635\pi\) |
0.0344512 | + | 0.999406i | \(0.489032\pi\) | |||||||
\(450\) | −19.5052 | − | 7.09932i | −0.919485 | − | 0.334665i | ||||
\(451\) | −2.05438 | + | 11.6510i | −0.0967369 | + | 0.548622i | ||||
\(452\) | −1.00387 | − | 5.69323i | −0.0472181 | − | 0.267787i | ||||
\(453\) | −6.77244 | + | 2.46497i | −0.318197 | + | 0.115814i | ||||
\(454\) | −19.1498 | − | 16.0686i | −0.898743 | − | 0.754135i | ||||
\(455\) | 5.60813 | 0.262913 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 9.11112 | 0.426200 | 0.213100 | − | 0.977030i | \(-0.431644\pi\) | ||||
0.213100 | + | 0.977030i | \(0.431644\pi\) | |||||||
\(458\) | 39.0244 | + | 32.7454i | 1.82349 | + | 1.53009i | ||||
\(459\) | 13.2626 | − | 4.82721i | 0.619047 | − | 0.225315i | ||||
\(460\) | 5.22668 | + | 29.6420i | 0.243695 | + | 1.38206i | ||||
\(461\) | −4.24540 | + | 24.0769i | −0.197728 | + | 1.12137i | 0.710751 | + | 0.703443i | \(0.248355\pi\) |
−0.908480 | + | 0.417929i | \(0.862756\pi\) | |||||||
\(462\) | 2.81908 | + | 1.02606i | 0.131155 | + | 0.0477367i | ||||
\(463\) | 0.125362 | + | 0.217134i | 0.00582609 | + | 0.0100911i | 0.868924 | − | 0.494946i | \(-0.164812\pi\) |
−0.863098 | + | 0.505037i | \(0.831479\pi\) | |||||||
\(464\) | −15.4427 | + | 26.7475i | −0.716909 | + | 1.24172i | ||||
\(465\) | −2.58512 | + | 2.16918i | −0.119882 | + | 0.100593i | ||||
\(466\) | 6.85638 | − | 5.75319i | 0.317616 | − | 0.266511i | ||||
\(467\) | −7.68092 | + | 13.3037i | −0.355431 | + | 0.615624i | −0.987192 | − | 0.159539i | \(-0.948999\pi\) |
0.631761 | + | 0.775163i | \(0.282332\pi\) | |||||||
\(468\) | −15.4251 | − | 26.7171i | −0.713028 | − | 1.23500i | ||||
\(469\) | −5.59627 | − | 2.03687i | −0.258412 | − | 0.0940541i | ||||
\(470\) | −0.340022 | + | 1.92836i | −0.0156841 | + | 0.0889487i | ||||
\(471\) | 1.24598 | + | 7.06629i | 0.0574116 | + | 0.325597i | ||||
\(472\) | −22.5831 | + | 8.21956i | −1.03947 | + | 0.378336i | ||||
\(473\) | 7.89827 | + | 6.62744i | 0.363163 | + | 0.304730i | ||||
\(474\) | −16.2104 | −0.744567 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 26.2199 | 1.20179 | ||||||||
\(477\) | 5.80406 | + | 4.87019i | 0.265750 | + | 0.222991i | ||||
\(478\) | −28.4898 | + | 10.3694i | −1.30309 | + | 0.474287i | ||||
\(479\) | −0.124896 | − | 0.708319i | −0.00570663 | − | 0.0323639i | 0.981821 | − | 0.189807i | \(-0.0607861\pi\) |
−0.987528 | + | 0.157443i | \(0.949675\pi\) | |||||||
\(480\) | −0.701867 | + | 3.98048i | −0.0320357 | + | 0.181683i | ||||
\(481\) | 10.4829 | + | 3.81547i | 0.477980 | + | 0.173971i | ||||
\(482\) | 16.3341 | + | 28.2915i | 0.743998 | + | 1.28864i | ||||
\(483\) | 2.53209 | − | 4.38571i | 0.115214 | − | 0.199557i | ||||
\(484\) | −32.4295 | + | 27.2116i | −1.47407 | + | 1.23689i | ||||
\(485\) | 7.60607 | − | 6.38225i | 0.345374 | − | 0.289803i | ||||
\(486\) | −18.2369 | + | 31.5873i | −0.827245 | + | 1.43283i | ||||
\(487\) | 5.87346 | + | 10.1731i | 0.266152 | + | 0.460988i | 0.967865 | − | 0.251471i | \(-0.0809145\pi\) |
−0.701713 | + | 0.712460i | \(0.747581\pi\) | |||||||
\(488\) | 25.9209 | + | 9.43442i | 1.17338 | + | 0.427076i | ||||
\(489\) | −0.717759 | + | 4.07061i | −0.0324582 | + | 0.184079i | ||||
\(490\) | 2.75624 | + | 15.6314i | 0.124514 | + | 0.706156i | ||||
\(491\) | −0.0834734 | + | 0.0303818i | −0.00376710 | + | 0.00137111i | −0.343903 | − | 0.939005i | \(-0.611749\pi\) |
0.340136 | + | 0.940376i | \(0.389527\pi\) | |||||||
\(492\) | 22.0253 | + | 18.4814i | 0.992976 | + | 0.833206i | ||||
\(493\) | 18.0496 | 0.812914 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −4.10876 | −0.184675 | ||||||||
\(496\) | 19.5141 | + | 16.3743i | 0.876211 | + | 0.735228i | ||||
\(497\) | −9.98545 | + | 3.63441i | −0.447909 | + | 0.163025i | ||||
\(498\) | 3.53519 | + | 20.0490i | 0.158416 | + | 0.898419i | ||||
\(499\) | 2.55097 | − | 14.4673i | 0.114197 | − | 0.647645i | −0.872947 | − | 0.487815i | \(-0.837794\pi\) |
0.987145 | − | 0.159830i | \(-0.0510947\pi\) | |||||||
\(500\) | −45.7131 | − | 16.6382i | −2.04435 | − | 0.744083i | ||||
\(501\) | −4.49660 | − | 7.78833i | −0.200893 | − | 0.347957i | ||||
\(502\) | −18.1839 | + | 31.4955i | −0.811588 | + | 1.40571i | ||||
\(503\) | −3.75671 | + | 3.15225i | −0.167503 | + | 0.140552i | −0.722686 | − | 0.691176i | \(-0.757093\pi\) |
0.555183 | + | 0.831728i | \(0.312648\pi\) | |||||||
\(504\) | −18.4461 | + | 15.4781i | −0.821654 | + | 0.689450i | ||||
\(505\) | 1.46198 | − | 2.53223i | 0.0650573 | − | 0.112683i | ||||
\(506\) | −7.59627 | − | 13.1571i | −0.337695 | − | 0.584905i | ||||
\(507\) | 3.44609 | + | 1.25427i | 0.153046 | + | 0.0557043i | ||||
\(508\) | 11.1099 | − | 63.0076i | 0.492924 | − | 2.79551i | ||||
\(509\) | −1.11375 | − | 6.31640i | −0.0493662 | − | 0.279969i | 0.950125 | − | 0.311870i | \(-0.100955\pi\) |
−0.999491 | + | 0.0319002i | \(0.989844\pi\) | |||||||
\(510\) | 8.11721 | − | 2.95442i | 0.359436 | − | 0.130824i | ||||
\(511\) | 7.19253 | + | 6.03525i | 0.318179 | + | 0.266984i | ||||
\(512\) | −50.5553 | −2.23425 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −12.6040 | −0.555939 | ||||||||
\(515\) | −12.8760 | − | 10.8042i | −0.567384 | − | 0.476091i | ||||
\(516\) | 23.5462 | − | 8.57013i | 1.03656 | − | 0.377279i | ||||
\(517\) | −0.118089 | − | 0.669713i | −0.00519353 | − | 0.0294540i | ||||
\(518\) | 2.76604 | − | 15.6870i | 0.121533 | − | 0.689248i | ||||
\(519\) | 15.4851 | + | 5.63613i | 0.679723 | + | 0.247399i | ||||
\(520\) | −11.1755 | − | 19.3565i | −0.490076 | − | 0.848837i | ||||
\(521\) | −17.9067 | + | 31.0154i | −0.784508 | + | 1.35881i | 0.144785 | + | 0.989463i | \(0.453751\pi\) |
−0.929293 | + | 0.369344i | \(0.879582\pi\) | |||||||
\(522\) | −23.2297 | + | 19.4920i | −1.01674 | + | 0.853142i | ||||
\(523\) | −29.7015 | + | 24.9225i | −1.29875 | + | 1.08978i | −0.308395 | + | 0.951258i | \(0.599792\pi\) |
−0.990359 | + | 0.138526i | \(0.955764\pi\) | |||||||
\(524\) | 43.6921 | − | 75.6770i | 1.90870 | − | 3.30596i | ||||
\(525\) | 1.59240 | + | 2.75811i | 0.0694979 | + | 0.120374i | ||||
\(526\) | 57.2071 | + | 20.8217i | 2.49435 | + | 0.907869i | ||||
\(527\) | 2.58512 | − | 14.6610i | 0.112610 | − | 0.638641i | ||||
\(528\) | −0.891407 | − | 5.05542i | −0.0387935 | − | 0.220009i | ||||
\(529\) | −2.48633 | + | 0.904950i | −0.108101 | + | 0.0393456i | ||||
\(530\) | 7.69253 | + | 6.45480i | 0.334142 | + | 0.280379i | ||||
\(531\) | −10.1307 | −0.439636 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −27.1293 | −1.17510 | ||||||||
\(534\) | 3.07145 | + | 2.57725i | 0.132915 | + | 0.111529i | ||||
\(535\) | 8.45723 | − | 3.07818i | 0.365638 | − | 0.133081i | ||||
\(536\) | 4.12155 | + | 23.3745i | 0.178024 | + | 1.00962i | ||||
\(537\) | −0.660855 | + | 3.74789i | −0.0285180 | + | 0.161734i | ||||
\(538\) | −31.1964 | − | 11.3546i | −1.34497 | − | 0.489530i | ||||
\(539\) | −2.75624 | − | 4.77396i | −0.118720 | − | 0.205629i | ||||
\(540\) | −10.8118 | + | 18.7266i | −0.465266 | + | 0.805864i | ||||
\(541\) | 7.26991 | − | 6.10018i | 0.312558 | − | 0.262267i | −0.472990 | − | 0.881068i | \(-0.656825\pi\) |
0.785548 | + | 0.618800i | \(0.212381\pi\) | |||||||
\(542\) | −51.5374 | + | 43.2450i | −2.21372 | + | 1.85753i | ||||
\(543\) | 4.42602 | − | 7.66610i | 0.189939 | − | 0.328984i | ||||
\(544\) | −8.91534 | − | 15.4418i | −0.382242 | − | 0.662063i | ||||
\(545\) | −11.9684 | − | 4.35613i | −0.512669 | − | 0.186596i | ||||
\(546\) | −1.19459 | + | 6.77487i | −0.0511238 | + | 0.289938i | ||||
\(547\) | −2.46791 | − | 13.9962i | −0.105520 | − | 0.598435i | −0.991011 | − | 0.133779i | \(-0.957289\pi\) |
0.885491 | − | 0.464657i | \(-0.153822\pi\) | |||||||
\(548\) | −42.3016 | + | 15.3965i | −1.80703 | + | 0.657707i | ||||
\(549\) | 8.90760 | + | 7.47437i | 0.380167 | + | 0.318998i | ||||
\(550\) | 9.55438 | 0.407400 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −20.1830 | −0.859047 | ||||||||
\(553\) | −11.5116 | − | 9.65939i | −0.489524 | − | 0.410759i | ||||
\(554\) | 39.2854 | − | 14.2987i | 1.66908 | − | 0.607494i | ||||
\(555\) | −0.627011 | − | 3.55596i | −0.0266152 | − | 0.150942i | ||||
\(556\) | −1.27197 | + | 7.21372i | −0.0539437 | + | 0.305930i | ||||
\(557\) | −21.1805 | − | 7.70908i | −0.897447 | − | 0.326644i | −0.148218 | − | 0.988955i | \(-0.547354\pi\) |
−0.749229 | + | 0.662311i | \(0.769576\pi\) | |||||||
\(558\) | 12.5055 | + | 21.6602i | 0.529401 | + | 0.916949i | ||||
\(559\) | −11.8216 | + | 20.4756i | −0.500001 | + | 0.866026i | ||||
\(560\) | −10.4966 | + | 8.80769i | −0.443562 | + | 0.372193i | ||||
\(561\) | −2.29813 | + | 1.92836i | −0.0970273 | + | 0.0814155i | ||||
\(562\) | −24.5488 | + | 42.5197i | −1.03553 | + | 1.79358i | ||||
\(563\) | −21.4859 | − | 37.2147i | −0.905524 | − | 1.56841i | −0.820213 | − | 0.572058i | \(-0.806145\pi\) |
−0.0853106 | − | 0.996354i | \(-0.527188\pi\) | |||||||
\(564\) | −1.55303 | − | 0.565258i | −0.0653945 | − | 0.0238017i | ||||
\(565\) | 0.306589 | − | 1.73875i | 0.0128983 | − | 0.0731500i | ||||
\(566\) | −4.97313 | − | 28.2040i | −0.209036 | − | 1.18550i | ||||
\(567\) | −7.69846 | + | 2.80201i | −0.323305 | + | 0.117673i | ||||
\(568\) | 32.4424 | + | 27.2224i | 1.36125 | + | 1.14223i | ||||
\(569\) | −7.42696 | −0.311354 | −0.155677 | − | 0.987808i | \(-0.549756\pi\) | ||||
−0.155677 | + | 0.987808i | \(0.549756\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.04458 | 0.169260 | 0.0846301 | − | 0.996412i | \(-0.473029\pi\) | ||||
0.0846301 | + | 0.996412i | \(0.473029\pi\) | |||||||
\(572\) | 10.8780 | + | 9.12776i | 0.454834 | + | 0.381651i | ||||
\(573\) | 6.30763 | − | 2.29579i | 0.263505 | − | 0.0959080i | ||||
\(574\) | 6.72668 | + | 38.1489i | 0.280766 | + | 1.59230i | ||||
\(575\) | 2.80066 | − | 15.8833i | 0.116796 | − | 0.662381i | ||||
\(576\) | −3.96229 | − | 1.44215i | −0.165095 | − | 0.0600898i | ||||
\(577\) | −1.61721 | − | 2.80109i | −0.0673254 | − | 0.116611i | 0.830398 | − | 0.557171i | \(-0.188113\pi\) |
−0.897723 | + | 0.440560i | \(0.854780\pi\) | |||||||
\(578\) | 2.46926 | − | 4.27688i | 0.102707 | − | 0.177895i | ||||
\(579\) | −6.90033 | + | 5.79006i | −0.286768 | + | 0.240627i | ||||
\(580\) | −21.1839 | + | 17.7754i | −0.879614 | + | 0.738084i | ||||
\(581\) | −9.43629 | + | 16.3441i | −0.391483 | + | 0.678069i | ||||
\(582\) | 6.08987 | + | 10.5480i | 0.252433 | + | 0.437227i | ||||
\(583\) | −3.27719 | − | 1.19280i | −0.135727 | − | 0.0494007i | ||||
\(584\) | 6.49794 | − | 36.8517i | 0.268887 | − | 1.52493i | ||||
\(585\) | −1.63610 | − | 9.27876i | −0.0676443 | − | 0.383630i | ||||
\(586\) | 9.27719 | − | 3.37662i | 0.383237 | − | 0.139487i | ||||
\(587\) | −31.2610 | − | 26.2311i | −1.29028 | − | 1.08267i | −0.991738 | − | 0.128279i | \(-0.959055\pi\) |
−0.298543 | − | 0.954396i | \(-0.596501\pi\) | |||||||
\(588\) | −13.3969 | −0.552480 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | −13.4270 | −0.552779 | ||||||||
\(591\) | −3.97044 | − | 3.33159i | −0.163322 | − | 0.137043i | ||||
\(592\) | −25.6129 | + | 9.32234i | −1.05268 | + | 0.383146i | ||||
\(593\) | −1.92127 | − | 10.8961i | −0.0788973 | − | 0.447449i | −0.998507 | − | 0.0546164i | \(-0.982606\pi\) |
0.919610 | − | 0.392832i | \(-0.128505\pi\) | |||||||
\(594\) | 1.89528 | − | 10.7487i | 0.0777642 | − | 0.441023i | ||||
\(595\) | 7.52481 | + | 2.73881i | 0.308487 | + | 0.112280i | ||||
\(596\) | −24.7199 | − | 42.8161i | −1.01257 | − | 1.75381i | ||||
\(597\) | −8.82295 | + | 15.2818i | −0.361099 | + | 0.625442i | ||||
\(598\) | 26.6878 | − | 22.3937i | 1.09134 | − | 0.915747i | ||||
\(599\) | 34.1332 | − | 28.6411i | 1.39464 | − | 1.17024i | 0.431224 | − | 0.902245i | \(-0.358082\pi\) |
0.963419 | − | 0.268000i | \(-0.0863626\pi\) | |||||||
\(600\) | 6.34642 | − | 10.9923i | 0.259091 | − | 0.448760i | ||||
\(601\) | −2.49953 | − | 4.32932i | −0.101958 | − | 0.176597i | 0.810533 | − | 0.585693i | \(-0.199177\pi\) |
−0.912491 | + | 0.409096i | \(0.865844\pi\) | |||||||
\(602\) | 31.7237 | + | 11.5465i | 1.29296 | + | 0.470600i | ||||
\(603\) | −1.73742 | + | 9.85337i | −0.0707530 | + | 0.401260i | ||||
\(604\) | 8.45858 | + | 47.9710i | 0.344175 | + | 1.95191i | ||||
\(605\) | −12.1493 | + | 4.42198i | −0.493939 | + | 0.179779i | ||||
\(606\) | 2.74763 | + | 2.30553i | 0.111615 | + | 0.0936558i | ||||
\(607\) | 31.1881 | 1.26589 | 0.632943 | − | 0.774199i | \(-0.281847\pi\) | ||||
0.632943 | + | 0.774199i | \(0.281847\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 4.65270 | 0.188537 | ||||||||
\(610\) | 11.8059 | + | 9.90630i | 0.478006 | + | 0.401095i | ||||
\(611\) | 1.46538 | − | 0.533356i | 0.0592831 | − | 0.0215773i | ||||
\(612\) | −7.64930 | − | 43.3813i | −0.309205 | − | 1.75359i | ||||
\(613\) | 2.84255 | − | 16.1209i | 0.114809 | − | 0.651117i | −0.872035 | − | 0.489444i | \(-0.837200\pi\) |
0.986844 | − | 0.161673i | \(-0.0516890\pi\) | |||||||
\(614\) | 55.1430 | + | 20.0704i | 2.22539 | + | 0.809975i | ||||
\(615\) | 4.39053 | + | 7.60462i | 0.177043 | + | 0.306648i | ||||
\(616\) | 5.54189 | − | 9.59883i | 0.223289 | − | 0.386748i | ||||
\(617\) | 12.3014 | − | 10.3221i | 0.495235 | − | 0.415551i | −0.360663 | − | 0.932696i | \(-0.617450\pi\) |
0.855898 | + | 0.517145i | \(0.173005\pi\) | |||||||
\(618\) | 15.7947 | − | 13.2534i | 0.635357 | − | 0.533128i | ||||
\(619\) | −11.9213 | + | 20.6483i | −0.479156 | + | 0.829923i | −0.999714 | − | 0.0239031i | \(-0.992391\pi\) |
0.520558 | + | 0.853826i | \(0.325724\pi\) | |||||||
\(620\) | 11.4042 | + | 19.7527i | 0.458004 | + | 0.793286i | ||||
\(621\) | −17.3131 | − | 6.30147i | −0.694753 | − | 0.252869i | ||||
\(622\) | −1.52182 | + | 8.63068i | −0.0610195 | + | 0.346059i | ||||
\(623\) | 0.645430 | + | 3.66041i | 0.0258586 | + | 0.146651i | ||||
\(624\) | 11.0617 | − | 4.02611i | 0.442820 | − | 0.161173i | ||||
\(625\) | 0.817267 | + | 0.685768i | 0.0326907 | + | 0.0274307i | ||||
\(626\) | −57.9590 | −2.31651 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 48.4962 | 1.93521 | ||||||||
\(629\) | 12.2023 | + | 10.2390i | 0.486539 | + | 0.408255i | ||||
\(630\) | −12.6420 | + | 4.60132i | −0.503670 | + | 0.183321i | ||||
\(631\) | 3.72874 | + | 21.1467i | 0.148439 | + | 0.841838i | 0.964541 | + | 0.263931i | \(0.0850193\pi\) |
−0.816103 | + | 0.577907i | \(0.803870\pi\) | |||||||
\(632\) | −10.3999 | + | 58.9809i | −0.413687 | + | 2.34613i | ||||
\(633\) | −4.95084 | − | 1.80196i | −0.196778 | − | 0.0716214i | ||||
\(634\) | 33.0699 | + | 57.2787i | 1.31337 | + | 2.27483i | ||||
\(635\) | 9.76991 | − | 16.9220i | 0.387707 | − | 0.671529i | ||||
\(636\) | −6.49273 | + | 5.44804i | −0.257453 | + | 0.216029i | ||||
\(637\) | 9.68345 | − | 8.12538i | 0.383672 | − | 0.321939i | ||||
\(638\) | 6.97906 | − | 12.0881i | 0.276303 | − | 0.478572i | ||||
\(639\) | 8.92633 | + | 15.4609i | 0.353120 | + | 0.611622i | ||||
\(640\) | −16.8897 | − | 6.14733i | −0.667622 | − | 0.242995i | ||||
\(641\) | −2.21466 | + | 12.5600i | −0.0874738 | + | 0.496089i | 0.909322 | + | 0.416094i | \(0.136601\pi\) |
−0.996795 | + | 0.0799944i | \(0.974510\pi\) | |||||||
\(642\) | 1.91710 | + | 10.8724i | 0.0756619 | + | 0.429100i | ||||
\(643\) | −26.8828 | + | 9.78456i | −1.06016 | + | 0.385865i | −0.812487 | − | 0.582979i | \(-0.801887\pi\) |
−0.247669 | + | 0.968845i | \(0.579665\pi\) | |||||||
\(644\) | −26.2199 | − | 22.0011i | −1.03321 | − | 0.866964i | ||||
\(645\) | 7.65270 | 0.301325 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 16.7128 | 0.657046 | 0.328523 | − | 0.944496i | \(-0.393449\pi\) | ||||
0.328523 | + | 0.944496i | \(0.393449\pi\) | |||||||
\(648\) | 25.0121 | + | 20.9876i | 0.982567 | + | 0.824472i | ||||
\(649\) | 4.38191 | − | 1.59489i | 0.172005 | − | 0.0626047i | ||||
\(650\) | 3.80453 | + | 21.5766i | 0.149226 | + | 0.846302i | ||||
\(651\) | 0.666374 | − | 3.77920i | 0.0261173 | − | 0.148118i | ||||
\(652\) | 26.2520 | + | 9.55493i | 1.02811 | + | 0.374200i | ||||
\(653\) | −13.5000 | − | 23.3827i | −0.528296 | − | 0.915035i | −0.999456 | − | 0.0329874i | \(-0.989498\pi\) |
0.471160 | − | 0.882048i | \(-0.343835\pi\) | |||||||
\(654\) | 7.81180 | − | 13.5304i | 0.305466 | − | 0.529082i | ||||
\(655\) | 20.4440 | − | 17.1546i | 0.798814 | − | 0.670285i | ||||
\(656\) | 50.7772 | − | 42.6072i | 1.98252 | − | 1.66353i | ||||
\(657\) | 7.88713 | − | 13.6609i | 0.307706 | − | 0.532963i | ||||
\(658\) | −1.11334 | − | 1.92836i | −0.0434025 | − | 0.0751754i | ||||
\(659\) | −41.2533 | − | 15.0150i | −1.60700 | − | 0.584900i | −0.626157 | − | 0.779697i | \(-0.715373\pi\) |
−0.980844 | + | 0.194797i | \(0.937595\pi\) | |||||||
\(660\) | 0.798133 | − | 4.52644i | 0.0310673 | − | 0.176191i | ||||
\(661\) | 1.86777 | + | 10.5927i | 0.0726480 | + | 0.412007i | 0.999345 | + | 0.0361971i | \(0.0115244\pi\) |
−0.926697 | + | 0.375810i | \(0.877364\pi\) | |||||||
\(662\) | 45.3144 | − | 16.4931i | 1.76119 | − | 0.641022i | ||||
\(663\) | −5.26991 | − | 4.42198i | −0.204667 | − | 0.171736i | ||||
\(664\) | 75.2158 | 2.91894 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −26.7615 | −1.03699 | ||||||||
\(667\) | −18.0496 | − | 15.1454i | −0.698884 | − | 0.586434i | ||||
\(668\) | −57.1173 | + | 20.7890i | −2.20993 | + | 0.804350i | ||||
\(669\) | 1.75402 | + | 9.94756i | 0.0678144 | + | 0.384595i | ||||
\(670\) | −2.30272 | + | 13.0594i | −0.0889618 | + | 0.504527i | ||||
\(671\) | −5.02956 | − | 1.83061i | −0.194164 | − | 0.0706700i | ||||
\(672\) | −2.29813 | − | 3.98048i | −0.0886524 | − | 0.153550i | ||||
\(673\) | 2.32888 | − | 4.03374i | 0.0897717 | − | 0.155489i | −0.817643 | − | 0.575726i | \(-0.804720\pi\) |
0.907415 | + | 0.420237i | \(0.138053\pi\) | |||||||
\(674\) | −3.30019 | + | 2.76919i | −0.127119 | + | 0.106665i | ||||
\(675\) | 8.87598 | − | 7.44783i | 0.341637 | − | 0.286667i | ||||
\(676\) | 12.3931 | − | 21.4654i | 0.476656 | − | 0.825592i | ||||
\(677\) | 1.63429 | + | 2.83067i | 0.0628107 | + | 0.108791i | 0.895721 | − | 0.444617i | \(-0.146660\pi\) |
−0.832910 | + | 0.553408i | \(0.813327\pi\) | |||||||
\(678\) | 2.03519 | + | 0.740748i | 0.0781609 | + | 0.0284482i | ||||
\(679\) | −1.96064 | + | 11.1193i | −0.0752423 | + | 0.426721i | ||||
\(680\) | −5.54189 | − | 31.4296i | −0.212522 | − | 1.20527i | ||||
\(681\) | 6.05525 | − | 2.20393i | 0.232038 | − | 0.0844549i | ||||
\(682\) | −8.81908 | − | 7.40008i | −0.337700 | − | 0.283364i | ||||
\(683\) | −6.21894 | −0.237961 | −0.118981 | − | 0.992897i | \(-0.537963\pi\) | ||||
−0.118981 | + | 0.992897i | \(0.537963\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −13.7483 | −0.525297 | ||||||||
\(686\) | −34.6293 | − | 29.0574i | −1.32215 | − | 1.10942i | ||||
\(687\) | −12.3397 | + | 4.49129i | −0.470790 | + | 0.171353i | ||||
\(688\) | −10.0312 | − | 56.8898i | −0.382436 | − | 2.16890i | ||||
\(689\) | 1.38872 | − | 7.87581i | 0.0529060 | − | 0.300045i | ||||
\(690\) | −10.5963 | − | 3.85673i | −0.403393 | − | 0.146823i | ||||
\(691\) | −11.1088 | − | 19.2409i | −0.422597 | − | 0.731959i | 0.573596 | − | 0.819139i | \(-0.305548\pi\) |
−0.996193 | + | 0.0871792i | \(0.972215\pi\) | |||||||
\(692\) | 55.6887 | − | 96.4557i | 2.11697 | − | 3.66670i | ||||
\(693\) | 3.57919 | − | 3.00330i | 0.135962 | − | 0.114086i | ||||
\(694\) | −9.50774 | + | 7.97794i | −0.360909 | + | 0.302839i | ||||
\(695\) | −1.11856 | + | 1.93739i | −0.0424292 | + | 0.0734896i | ||||
\(696\) | −9.27156 | − | 16.0588i | −0.351438 | − | 0.608708i | ||||
\(697\) | −36.4013 | − | 13.2490i | −1.37880 | − | 0.501841i | ||||
\(698\) | −12.3682 | + | 70.1438i | −0.468145 | + | 2.65498i | ||||
\(699\) | 0.400634 | + | 2.27211i | 0.0151534 | + | 0.0859391i | ||||
\(700\) | 20.2271 | − | 7.36208i | 0.764514 | − | 0.278260i | ||||
\(701\) | −21.2750 | − | 17.8518i | −0.803544 | − | 0.674254i | 0.145513 | − | 0.989356i | \(-0.453517\pi\) |
−0.949058 | + | 0.315102i | \(0.897961\pi\) | |||||||
\(702\) | 25.0283 | 0.944631 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 1.94087 | 0.0731495 | ||||||||
\(705\) | −0.386659 | − | 0.324446i | −0.0145624 | − | 0.0122193i | ||||
\(706\) | 19.7964 | − | 7.20529i | 0.745047 | − | 0.271175i | ||||
\(707\) | 0.577382 | + | 3.27449i | 0.0217147 | + | 0.123150i | ||||
\(708\) | 1.96791 | − | 11.1606i | 0.0739586 | − | 0.419440i | ||||
\(709\) | 5.73947 | + | 2.08900i | 0.215551 | + | 0.0784540i | 0.447538 | − | 0.894265i | \(-0.352301\pi\) |
−0.231988 | + | 0.972719i | \(0.574523\pi\) | |||||||
\(710\) | 11.8307 | + | 20.4914i | 0.443998 | + | 0.769027i | ||||
\(711\) | −12.6233 | + | 21.8642i | −0.473411 | + | 0.819972i | ||||
\(712\) | 11.3478 | − | 9.52190i | 0.425275 | − | 0.356848i | ||||
\(713\) | −14.8871 | + | 12.4918i | −0.557527 | + | 0.467821i | ||||
\(714\) | −4.91147 | + | 8.50692i | −0.183807 | + | 0.318364i | ||||
\(715\) | 2.16843 | + | 3.75584i | 0.0810948 | + | 0.140460i | ||||
\(716\) | 24.1707 | + | 8.79742i | 0.903302 | + | 0.328775i | ||||
\(717\) | 1.35710 | − | 7.69648i | 0.0506817 | − | 0.287430i | ||||
\(718\) | 10.9611 | + | 62.1635i | 0.409065 | + | 2.31992i | ||||
\(719\) | −36.3885 | + | 13.2443i | −1.35706 | + | 0.493930i | −0.915144 | − | 0.403126i | \(-0.867924\pi\) |
−0.441917 | + | 0.897056i | \(0.645701\pi\) | |||||||
\(720\) | 17.6348 | + | 14.7973i | 0.657208 | + | 0.551463i | ||||
\(721\) | 19.1138 | 0.711835 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −8.42097 | −0.313179 | ||||||||
\(724\) | −45.8316 | − | 38.4573i | −1.70332 | − | 1.42925i | ||||
\(725\) | 13.9243 | − | 5.06802i | 0.517134 | − | 0.188221i | ||||
\(726\) | −2.75402 | − | 15.6188i | −0.102211 | − | 0.579669i | ||||
\(727\) | −1.92366 | + | 10.9096i | −0.0713445 | + | 0.404615i | 0.928132 | + | 0.372252i | \(0.121414\pi\) |
−0.999476 | + | 0.0323628i | \(0.989697\pi\) | |||||||
\(728\) | 23.8837 | + | 8.69296i | 0.885190 | + | 0.322183i | ||||
\(729\) | 3.31996 | + | 5.75033i | 0.122961 | + | 0.212975i | ||||
\(730\) | 10.4534 | − | 18.1058i | 0.386896 | − | 0.670124i | ||||
\(731\) | −25.8614 | + | 21.7003i | −0.956520 | + | 0.802615i | ||||
\(732\) | −9.96451 | + | 8.36121i | −0.368299 | + | 0.309039i | ||||
\(733\) | 7.90373 | − | 13.6897i | 0.291931 | − | 0.505639i | −0.682335 | − | 0.731039i | \(-0.739036\pi\) |
0.974266 | + | 0.225400i | \(0.0723689\pi\) | |||||||
\(734\) | 3.27379 | + | 5.67036i | 0.120838 | + | 0.209297i | ||||
\(735\) | −3.84477 | − | 1.39938i | −0.141816 | − | 0.0516170i | ||||
\(736\) | −4.04189 | + | 22.9227i | −0.148986 | + | 0.844942i | ||||
\(737\) | −0.799726 | − | 4.53547i | −0.0294583 | − | 0.167066i | ||||
\(738\) | 61.1558 | − | 22.2589i | 2.25117 | − | 0.819360i | ||||
\(739\) | 1.18685 | + | 0.995887i | 0.0436591 | + | 0.0366343i | 0.664356 | − | 0.747416i | \(-0.268706\pi\) |
−0.620697 | + | 0.784050i | \(0.713150\pi\) | |||||||
\(740\) | −24.4047 | −0.897133 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −11.4192 | −0.419213 | ||||||||
\(743\) | −29.2349 | − | 24.5310i | −1.07252 | − | 0.899955i | −0.0772453 | − | 0.997012i | \(-0.524612\pi\) |
−0.995279 | + | 0.0970576i | \(0.969057\pi\) | |||||||
\(744\) | −14.3718 | + | 5.23091i | −0.526896 | + | 0.191774i | ||||
\(745\) | −2.62196 | − | 14.8699i | −0.0960611 | − | 0.544790i | ||||
\(746\) | 10.2815 | − | 58.3091i | 0.376431 | − | 2.13485i | ||||
\(747\) | 29.7946 | + | 10.8444i | 1.09013 | + | 0.396774i | ||||
\(748\) | 10.1382 | + | 17.5598i | 0.370688 | + | 0.642050i | ||||
\(749\) | −5.11721 | + | 8.86327i | −0.186979 | + | 0.323857i | ||||
\(750\) | 13.9611 | − | 11.7148i | 0.509787 | − | 0.427762i | ||||
\(751\) | 19.4179 | − | 16.2935i | 0.708568 | − | 0.594559i | −0.215629 | − | 0.976475i | \(-0.569180\pi\) |
0.924197 | + | 0.381916i | \(0.124736\pi\) | |||||||
\(752\) | −1.90508 | + | 3.29969i | −0.0694710 | + | 0.120327i | ||||
\(753\) | −4.68732 | − | 8.11867i | −0.170815 | − | 0.295861i | ||||
\(754\) | 30.0774 | + | 10.9473i | 1.09536 | + | 0.398677i | ||||
\(755\) | −2.58331 | + | 14.6507i | −0.0940163 | + | 0.533193i | ||||
\(756\) | −4.26991 | − | 24.2159i | −0.155295 | − | 0.880723i | ||||
\(757\) | −39.8153 | + | 14.4916i | −1.44711 | + | 0.526705i | −0.941783 | − | 0.336222i | \(-0.890851\pi\) |
−0.505328 | + | 0.862927i | \(0.668628\pi\) | |||||||
\(758\) | −49.3435 | − | 41.4041i | −1.79224 | − | 1.50386i | ||||
\(759\) | 3.91622 | 0.142150 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −2.85710 | −0.103570 | −0.0517848 | − | 0.998658i | \(-0.516491\pi\) | ||||
−0.0517848 | + | 0.998658i | \(0.516491\pi\) | |||||||
\(762\) | 18.3614 | + | 15.4071i | 0.665165 | + | 0.558139i | ||||
\(763\) | 13.6099 | − | 4.95361i | 0.492713 | − | 0.179333i | ||||
\(764\) | −7.87804 | − | 44.6786i | −0.285018 | − | 1.61641i | ||||
\(765\) | 2.33615 | − | 13.2490i | 0.0844638 | − | 0.479018i | ||||
\(766\) | −65.3872 | − | 23.7990i | −2.36253 | − | 0.859892i | ||||
\(767\) | 5.34658 | + | 9.26055i | 0.193054 | + | 0.334379i | ||||
\(768\) | 9.95471 | − | 17.2421i | 0.359210 | − | 0.622169i | ||||
\(769\) | 14.6472 | − | 12.2905i | 0.528193 | − | 0.443207i | −0.339284 | − | 0.940684i | \(-0.610185\pi\) |
0.867477 | + | 0.497477i | \(0.165740\pi\) | |||||||
\(770\) | 4.74376 | − | 3.98048i | 0.170953 | − | 0.143447i | ||||
\(771\) | 1.62449 | − | 2.81369i | 0.0585044 | − | 0.101333i | ||||
\(772\) | 30.4406 | + | 52.7247i | 1.09558 | + | 1.89760i | ||||
\(773\) | 2.36319 | + | 0.860130i | 0.0849980 | + | 0.0309367i | 0.384169 | − | 0.923263i | \(-0.374488\pi\) |
−0.299171 | + | 0.954199i | \(0.596710\pi\) | |||||||
\(774\) | 9.84895 | − | 55.8561i | 0.354013 | − | 2.00771i | ||||
\(775\) | −2.12226 | − | 12.0360i | −0.0762340 | − | 0.432344i | ||||
\(776\) | 42.2854 | − | 15.3906i | 1.51796 | − | 0.552491i | ||||
\(777\) | 3.14543 | + | 2.63933i | 0.112842 | + | 0.0946854i | ||||
\(778\) | −8.46286 | −0.303408 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 10.5398 | 0.377386 | ||||||||
\(781\) | −6.29498 | − | 5.28211i | −0.225252 | − | 0.189009i | ||||
\(782\) | 46.7452 | − | 17.0138i | 1.67160 | − | 0.608414i | ||||
\(783\) | −2.93939 | − | 16.6701i | −0.105045 | − | 0.595741i | ||||
\(784\) | −5.36319 | + | 30.4162i | −0.191542 | + | 1.08629i | ||||
\(785\) | 13.9179 | + | 5.06569i | 0.496750 | + | 0.180802i | ||||
\(786\) | 16.3687 | + | 28.3514i | 0.583852 | + | 1.01126i | ||||
\(787\) | 1.36303 | − | 2.36083i | 0.0485866 | − | 0.0841545i | −0.840709 | − | 0.541487i | \(-0.817862\pi\) |
0.889296 | + | 0.457332i | \(0.151195\pi\) | |||||||
\(788\) | −26.8353 | + | 22.5175i | −0.955967 | + | 0.802152i | ||||
\(789\) | −12.0214 | + | 10.0872i | −0.427974 | + | 0.359112i | ||||
\(790\) | −16.7306 | + | 28.9782i | −0.595246 | + | 1.03100i | ||||
\(791\) | 1.00387 | + | 1.73875i | 0.0356935 | + | 0.0618230i | ||||
\(792\) | −17.4982 | − | 6.36884i | −0.621773 | − | 0.226307i | ||||
\(793\) | 2.13129 | − | 12.0872i | 0.0756844 | − | 0.429228i | ||||
\(794\) | −5.77022 | − | 32.7245i | −0.204777 | − | 1.16135i | ||||
\(795\) | −2.43242 | + | 0.885328i | −0.0862690 | + | 0.0313993i | ||||
\(796\) | 91.3620 | + | 76.6618i | 3.23824 | + | 2.71720i | ||||
\(797\) | −22.0327 | −0.780439 | −0.390219 | − | 0.920722i | \(-0.627601\pi\) | ||||
−0.390219 | + | 0.920722i | \(0.627601\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.22668 | 0.0787743 | ||||||||
\(800\) | −11.2135 | − | 9.40923i | −0.396456 | − | 0.332666i | ||||
\(801\) | 5.86794 | − | 2.13575i | 0.207333 | − | 0.0754632i | ||||
\(802\) | −7.52481 | − | 42.6753i | −0.265710 | − | 1.50692i | ||||
\(803\) | −1.26083 | + | 7.15052i | −0.0444937 | + | 0.252336i | ||||
\(804\) | −10.5175 | − | 3.82807i | −0.370925 | − | 0.135006i | ||||
\(805\) | −5.22668 | − | 9.05288i | −0.184216 | − | 0.319072i | ||||
\(806\) | 13.1998 | − | 22.8627i | 0.464943 | − | 0.805306i | ||||
\(807\) | 6.55556 | − | 5.50077i | 0.230767 | − | 0.193636i | ||||
\(808\) | 10.1514 | − | 8.51800i | 0.357124 | − | 0.299662i | ||||
\(809\) | −27.3603 | + | 47.3893i | −0.961935 | + | 1.66612i | −0.244302 | + | 0.969699i | \(0.578559\pi\) |
−0.717633 | + | 0.696422i | \(0.754774\pi\) | |||||||
\(810\) | 9.12108 | + | 15.7982i | 0.320482 | + | 0.555091i | ||||
\(811\) | −2.17112 | − | 0.790224i | −0.0762384 | − | 0.0277485i | 0.303619 | − | 0.952793i | \(-0.401805\pi\) |
−0.379858 | + | 0.925045i | \(0.624027\pi\) | |||||||
\(812\) | 5.46064 | − | 30.9688i | 0.191631 | − | 1.08679i | ||||
\(813\) | −3.01145 | − | 17.0788i | −0.105616 | − | 0.598979i | ||||
\(814\) | 11.5753 | − | 4.21307i | 0.405715 | − | 0.147668i | ||||
\(815\) | 6.53596 | + | 5.48432i | 0.228945 | + | 0.192107i | ||||
\(816\) | 16.8084 | 0.588412 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 22.2772 | 0.778906 | ||||||||
\(819\) | 8.20755 | + | 6.88695i | 0.286795 | + | 0.240650i | ||||
\(820\) | 55.7700 | − | 20.2986i | 1.94757 | − | 0.708858i | ||||
\(821\) | 0.192944 | + | 1.09424i | 0.00673379 | + | 0.0381892i | 0.987990 | − | 0.154521i | \(-0.0493834\pi\) |
−0.981256 | + | 0.192710i | \(0.938272\pi\) | |||||||
\(822\) | 2.92855 | − | 16.6086i | 0.102145 | − | 0.579292i | ||||
\(823\) | −19.4024 | − | 7.06191i | −0.676327 | − | 0.246163i | −0.0190572 | − | 0.999818i | \(-0.506066\pi\) |
−0.657270 | + | 0.753656i | \(0.728289\pi\) | |||||||
\(824\) | −38.0886 | − | 65.9714i | −1.32688 | − | 2.29822i | ||||
\(825\) | −1.23143 | + | 2.13290i | −0.0428729 | + | 0.0742580i | ||||
\(826\) | 11.6964 | − | 9.81445i | 0.406970 | − | 0.341488i | ||||
\(827\) | −27.8116 | + | 23.3367i | −0.967103 | + | 0.811495i | −0.982094 | − | 0.188392i | \(-0.939672\pi\) |
0.0149913 | + | 0.999888i | \(0.495228\pi\) | |||||||
\(828\) | −28.7520 | + | 49.7999i | −0.999200 | + | 1.73066i | ||||
\(829\) | −3.57486 | − | 6.19183i | −0.124160 | − | 0.215051i | 0.797244 | − | 0.603657i | \(-0.206290\pi\) |
−0.921404 | + | 0.388606i | \(0.872957\pi\) | |||||||
\(830\) | 39.4889 | + | 14.3728i | 1.37068 | + | 0.498887i | ||||
\(831\) | −1.87134 | + | 10.6129i | −0.0649161 | + | 0.368157i | ||||
\(832\) | 0.772852 | + | 4.38306i | 0.0267938 | + | 0.151955i | ||||
\(833\) | 16.9611 | − | 6.17334i | 0.587667 | − | 0.213893i | ||||
\(834\) | −2.10220 | − | 1.76395i | −0.0727931 | − | 0.0610807i | ||||
\(835\) | −18.5635 | −0.642418 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −13.9614 | −0.482577 | ||||||||
\(838\) | 13.2679 | + | 11.1331i | 0.458330 | + | 0.384585i | ||||
\(839\) | −32.5197 | + | 11.8362i | −1.12270 | + | 0.408631i | −0.835638 | − | 0.549280i | \(-0.814902\pi\) |
−0.287065 | + | 0.957911i | \(0.592680\pi\) | |||||||
\(840\) | −1.42855 | − | 8.10170i | −0.0492896 | − | 0.279535i | ||||
\(841\) | −1.27672 | + | 7.24065i | −0.0440249 | + | 0.249678i | ||||
\(842\) | −11.4757 | − | 4.17680i | −0.395477 | − | 0.143942i | ||||
\(843\) | −6.32800 | − | 10.9604i | −0.217948 | − | 0.377497i | ||||
\(844\) | −17.8045 | + | 30.8384i | −0.612857 | + | 1.06150i | ||||
\(845\) | 5.79885 | − | 4.86581i | 0.199486 | − | 0.167389i | ||||
\(846\) | −2.86571 | + | 2.40462i | −0.0985253 | + | 0.0826725i | ||||
\(847\) | 7.35117 | − | 12.7326i | 0.252589 | − | 0.437497i | ||||
\(848\) | 9.76991 | + | 16.9220i | 0.335500 | + | 0.581103i | ||||
\(849\) | 6.93717 | + | 2.52492i | 0.238083 | + | 0.0866551i | ||||
\(850\) | −5.43242 | + | 30.8088i | −0.186330 | + | 1.05673i | ||||
\(851\) | −3.61081 | − | 20.4779i | −0.123777 | − | 0.701975i | ||||
\(852\) | −18.7665 | + | 6.83045i | −0.642930 | + | 0.234007i | ||||
\(853\) | 25.4716 | + | 21.3732i | 0.872132 | + | 0.731805i | 0.964546 | − | 0.263915i | \(-0.0850139\pi\) |
−0.0924142 | + | 0.995721i | \(0.529458\pi\) | |||||||
\(854\) | −17.5253 | −0.599703 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 40.7888 | 1.39413 | ||||||||
\(857\) | 2.97700 | + | 2.49800i | 0.101692 | + | 0.0853299i | 0.692216 | − | 0.721690i | \(-0.256634\pi\) |
−0.590524 | + | 0.807020i | \(0.701079\pi\) | |||||||
\(858\) | −4.99912 | + | 1.81953i | −0.170667 | + | 0.0621178i | ||||
\(859\) | 0.287866 | + | 1.63257i | 0.00982187 | + | 0.0557026i | 0.989325 | − | 0.145727i | \(-0.0465522\pi\) |
−0.979503 | + | 0.201430i | \(0.935441\pi\) | |||||||
\(860\) | 8.98158 | − | 50.9371i | 0.306269 | − | 1.73694i | ||||
\(861\) | −9.38326 | − | 3.41523i | −0.319780 | − | 0.116391i | ||||
\(862\) | 1.65048 | + | 2.85872i | 0.0562156 | + | 0.0973684i | ||||
\(863\) | −26.3594 | + | 45.6558i | −0.897284 | + | 1.55414i | −0.0663308 | + | 0.997798i | \(0.521129\pi\) |
−0.830953 | + | 0.556343i | \(0.812204\pi\) | |||||||
\(864\) | −12.8097 | + | 10.7487i | −0.435796 | + | 0.365677i | ||||
\(865\) | 26.0574 | − | 21.8647i | 0.885977 | − | 0.743423i | ||||
\(866\) | 25.0979 | − | 43.4709i | 0.852862 | − | 1.47720i | ||||
\(867\) | 0.636507 | + | 1.10246i | 0.0216169 | + | 0.0374416i | ||||
\(868\) | −24.3726 | − | 8.87089i | −0.827259 | − | 0.301098i | ||||
\(869\) | 2.01795 | − | 11.4444i | 0.0684543 | − | 0.388224i | ||||
\(870\) | −1.79901 | − | 10.2027i | −0.0609922 | − | 0.345904i | ||||
\(871\) | 9.92396 | − | 3.61203i | 0.336261 | − | 0.122389i | ||||
\(872\) | −44.2183 | − | 37.1035i | −1.49742 | − | 1.25648i | ||||
\(873\) | 18.9691 | 0.642008 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 16.8949 | 0.571151 | ||||||||
\(876\) | 13.5175 | + | 11.3426i | 0.456715 | + | 0.383230i | ||||
\(877\) | −19.9119 | + | 7.24735i | −0.672378 | + | 0.244726i | −0.655572 | − | 0.755133i | \(-0.727572\pi\) |
−0.0168069 | + | 0.999859i | \(0.505350\pi\) | |||||||
\(878\) | 15.1989 | + | 86.1974i | 0.512939 | + | 2.90902i | ||||
\(879\) | −0.441914 | + | 2.50622i | −0.0149054 | + | 0.0845327i | ||||
\(880\) | −9.95723 | − | 3.62414i | −0.335658 | − | 0.122170i | ||||
\(881\) | −16.0505 | − | 27.8003i | −0.540755 | − | 0.936616i | −0.998861 | − | 0.0477179i | \(-0.984805\pi\) |
0.458106 | − | 0.888898i | \(-0.348528\pi\) | |||||||
\(882\) | −15.1621 | + | 26.2615i | −0.510534 | + | 0.884271i | ||||
\(883\) | −36.2315 | + | 30.4018i | −1.21929 | + | 1.02310i | −0.220425 | + | 0.975404i | \(0.570744\pi\) |
−0.998862 | + | 0.0476989i | \(0.984811\pi\) | |||||||
\(884\) | −35.6181 | + | 29.8872i | −1.19797 | + | 1.00521i | ||||
\(885\) | 1.73055 | − | 2.99740i | 0.0581719 | − | 0.100757i | ||||
\(886\) | −21.5355 | − | 37.3007i | −0.723501 | − | 1.25314i | ||||
\(887\) | 9.92602 | + | 3.61278i | 0.333283 | + | 0.121305i | 0.503241 | − | 0.864146i | \(-0.332141\pi\) |
−0.169958 | + | 0.985451i | \(0.554363\pi\) | |||||||
\(888\) | 2.84167 | − | 16.1159i | 0.0953602 | − | 0.540815i | ||||
\(889\) | 3.85844 | + | 21.8823i | 0.129408 | + | 0.733909i | ||||
\(890\) | 7.77719 | − | 2.83067i | 0.260692 | − | 0.0948841i | ||||
\(891\) | −4.85323 | − | 4.07234i | −0.162589 | − | 0.136429i | ||||
\(892\) | 68.2704 | 2.28586 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 18.5220 | 0.619468 | ||||||||
\(895\) | 6.01779 | + | 5.04952i | 0.201153 | + | 0.168787i | ||||
\(896\) | 19.2062 | − | 6.99049i | 0.641634 | − | 0.233536i | ||||
\(897\) | 1.55943 | + | 8.84397i | 0.0520679 | + | 0.295291i | ||||
\(898\) | −16.4488 | + | 93.2857i | −0.548903 | + | 3.11298i | ||||
\(899\) | −16.7780 | − | 6.10668i | −0.559576 | − | 0.203669i | ||||
\(900\) | −18.0817 | − | 31.3185i | −0.602724 | − | 1.04395i | ||||
\(901\) | 5.70961 | − | 9.88933i | 0.190215 | − | 0.329461i | ||||
\(902\) | −22.9479 | + | 19.2556i | −0.764081 | + | 0.641141i | ||||
\(903\) | −6.66637 | + | 5.59375i | −0.221843 | + | 0.186148i | ||||
\(904\) | 4.00088 | − | 6.92972i | 0.133067 | − | 0.230479i | ||||
\(905\) | −9.13610 | − | 15.8242i | −0.303694 | − | 0.526014i | ||||
\(906\) | −17.1484 | − | 6.24152i | −0.569718 | − | 0.207360i | ||||
\(907\) | −7.45306 | + | 42.2684i | −0.247475 | + | 1.40350i | 0.567200 | + | 0.823580i | \(0.308027\pi\) |
−0.814674 | + | 0.579919i | \(0.803084\pi\) | |||||||
\(908\) | −7.56283 | − | 42.8910i | −0.250981 | − | 1.42339i | ||||
\(909\) | 5.24928 | − | 1.91058i | 0.174107 | − | 0.0633699i | ||||
\(910\) | 10.8780 | + | 9.12776i | 0.360604 | + | 0.302582i | ||||
\(911\) | 55.1411 | 1.82691 | 0.913454 | − | 0.406942i | \(-0.133405\pi\) | ||||
0.913454 | + | 0.406942i | \(0.133405\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −14.5945 | −0.483008 | ||||||||
\(914\) | 17.6728 | + | 14.8292i | 0.584563 | + | 0.490507i | ||||
\(915\) | −3.73308 | + | 1.35873i | −0.123412 | + | 0.0449182i | ||||
\(916\) | 15.4119 | + | 87.4055i | 0.509225 | + | 2.88796i | ||||
\(917\) | −5.26991 | + | 29.8872i | −0.174028 | + | 0.986961i | ||||
\(918\) | 33.5822 | + | 12.2229i | 1.10838 | + | 0.403416i | ||||
\(919\) | 12.2788 | + | 21.2676i | 0.405041 | + | 0.701552i | 0.994326 | − | 0.106373i | \(-0.0339237\pi\) |
−0.589285 | + | 0.807925i | \(0.700590\pi\) | |||||||
\(920\) | −20.8307 | + | 36.0798i | −0.686767 | + | 1.18952i | ||||
\(921\) | −11.5876 | + | 9.72319i | −0.381826 | + | 0.320390i | ||||
\(922\) | −47.4222 | + | 39.7920i | −1.56177 | + | 1.31048i | ||||
\(923\) | 9.42190 | − | 16.3192i | 0.310126 | − | 0.537154i | ||||
\(924\) | 2.61334 | + | 4.52644i | 0.0859726 | + | 0.148909i | ||||
\(925\) | 12.2883 | + | 4.47259i | 0.404038 | + | 0.147058i | ||||
\(926\) | −0.110242 | + | 0.625213i | −0.00362277 | + | 0.0205458i | ||||
\(927\) | −5.57620 | − | 31.6242i | −0.183146 | − | 1.03867i | ||||
\(928\) | −20.0954 | + | 7.31412i | −0.659663 | + | 0.240098i | ||||
\(929\) | −17.0654 | − | 14.3195i | −0.559896 | − | 0.469809i | 0.318379 | − | 0.947963i | \(-0.396861\pi\) |
−0.878276 | + | 0.478155i | \(0.841306\pi\) | |||||||
\(930\) | −8.54488 | −0.280198 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 15.5936 | 0.510785 | ||||||||
\(933\) | −1.73055 | − | 1.45211i | −0.0566557 | − | 0.0475398i | ||||
\(934\) | −36.5517 | + | 13.3037i | −1.19601 | + | 0.435312i | ||||
\(935\) | 1.07532 | + | 6.09845i | 0.0351668 | + | 0.199441i | ||||
\(936\) | 7.41493 | − | 42.0522i | 0.242365 | − | 1.37452i | ||||
\(937\) | 8.97565 | + | 3.26687i | 0.293222 | + | 0.106724i | 0.484443 | − | 0.874823i | \(-0.339022\pi\) |
−0.191221 | + | 0.981547i | \(0.561245\pi\) | |||||||
\(938\) | −7.53983 | − | 13.0594i | −0.246184 | − | 0.426403i | ||||
\(939\) | 7.47013 | − | 12.9386i | 0.243779 | − | 0.422237i | ||||
\(940\) | −2.61334 | + | 2.19285i | −0.0852378 | + | 0.0715230i | ||||
\(941\) | 42.6883 | − | 35.8197i | 1.39160 | − | 1.16769i | 0.426909 | − | 0.904295i | \(-0.359602\pi\) |
0.964688 | − | 0.263394i | \(-0.0848420\pi\) | |||||||
\(942\) | −9.08424 | + | 15.7344i | −0.295981 | + | 0.512654i | ||||
\(943\) | 25.2841 | + | 43.7933i | 0.823362 | + | 1.42610i | ||||
\(944\) | −24.5510 | − | 8.93582i | −0.799066 | − | 0.290836i | ||||
\(945\) | 1.30406 | − | 7.39571i | 0.0424212 | − | 0.240582i | ||||
\(946\) | 4.53343 | + | 25.7104i | 0.147395 | + | 0.835916i | ||||
\(947\) | 25.4119 | − | 9.24919i | 0.825777 | − | 0.300558i | 0.105653 | − | 0.994403i | \(-0.466307\pi\) |
0.720125 | + | 0.693845i | \(0.244085\pi\) | |||||||
\(948\) | −21.6348 | − | 18.1537i | −0.702664 | − | 0.589605i | ||||
\(949\) | −16.6500 | −0.540482 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −17.0490 | −0.552852 | ||||||||
\(952\) | 27.8011 | + | 23.3279i | 0.901040 | + | 0.756062i | ||||
\(953\) | 21.7361 | − | 7.91128i | 0.704100 | − | 0.256272i | 0.0349398 | − | 0.999389i | \(-0.488876\pi\) |
0.669161 | + | 0.743118i | \(0.266654\pi\) | |||||||
\(954\) | 3.33140 | + | 18.8933i | 0.107858 | + | 0.611694i | ||||
\(955\) | 2.40601 | − | 13.6452i | 0.0778567 | − | 0.441547i | ||||
\(956\) | −49.6357 | − | 18.0659i | −1.60533 | − | 0.584293i | ||||
\(957\) | 1.79901 | + | 3.11598i | 0.0581538 | + | 0.100725i | ||||
\(958\) | 0.910597 | − | 1.57720i | 0.0294200 | − | 0.0509570i | ||||
\(959\) | 11.9764 | − | 10.0494i | 0.386737 | − | 0.324511i | ||||
\(960\) | 1.10354 | − | 0.925981i | 0.0356166 | − | 0.0298859i | ||||
\(961\) | 8.13681 | − | 14.0934i | 0.262478 | − | 0.454625i | ||||
\(962\) | 14.1236 | + | 24.4628i | 0.455363 | + | 0.788713i | ||||
\(963\) | 16.1573 | + | 5.88079i | 0.520663 | + | 0.189506i | ||||
\(964\) | −9.88326 | + | 56.0507i | −0.318318 | + | 1.80527i | ||||
\(965\) | 3.22874 | + | 18.3111i | 0.103937 | + | 0.589455i | ||||
\(966\) | 12.0496 | − | 4.38571i | 0.387690 | − | 0.141108i | ||||
\(967\) | 29.9026 | + | 25.0913i | 0.961603 | + | 0.806881i | 0.981213 | − | 0.192927i | \(-0.0617980\pi\) |
−0.0196101 | + | 0.999808i | \(0.506242\pi\) | |||||||
\(968\) | −58.5954 | −1.88333 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 25.1411 | 0.807234 | ||||||||
\(971\) | 31.5631 | + | 26.4845i | 1.01291 | + | 0.849930i | 0.988720 | − | 0.149778i | \(-0.0478559\pi\) |
0.0241869 | + | 0.999707i | \(0.492300\pi\) | |||||||
\(972\) | −59.7135 | + | 21.7339i | −1.91531 | + | 0.697117i | ||||
\(973\) | −0.441752 | − | 2.50530i | −0.0141619 | − | 0.0803162i | ||||
\(974\) | −5.16503 | + | 29.2923i | −0.165498 | + | 0.938587i | ||||
\(975\) | −5.30706 | − | 1.93161i | −0.169962 | − | 0.0618610i | ||||
\(976\) | 14.9941 | + | 25.9705i | 0.479948 | + | 0.831295i | ||||
\(977\) | 11.2469 | − | 19.4802i | 0.359821 | − | 0.623227i | −0.628110 | − | 0.778125i | \(-0.716171\pi\) |
0.987931 | + | 0.154897i | \(0.0495046\pi\) | |||||||
\(978\) | −8.01754 | + | 6.72752i | −0.256373 | + | 0.215122i | ||||
\(979\) | −2.20187 | + | 1.84759i | −0.0703720 | + | 0.0590491i | ||||
\(980\) | −13.8268 | + | 23.9488i | −0.441682 | + | 0.765015i | ||||
\(981\) | −12.1664 | − | 21.0728i | −0.388442 | − | 0.672802i | ||||
\(982\) | −0.211362 | − | 0.0769295i | −0.00674484 | − | 0.00245492i | ||||
\(983\) | 7.73536 | − | 43.8694i | 0.246720 | − | 1.39922i | −0.569746 | − | 0.821821i | \(-0.692958\pi\) |
0.816465 | − | 0.577395i | \(-0.195931\pi\) | |||||||
\(984\) | 6.91060 | + | 39.1919i | 0.220302 | + | 1.24939i | ||||
\(985\) | −10.0535 | + | 3.65917i | −0.320331 | + | 0.116591i | ||||
\(986\) | 35.0107 | + | 29.3775i | 1.11497 | + | 0.935570i | ||||
\(987\) | 0.573978 | 0.0182699 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 44.0702 | 1.40135 | ||||||||
\(990\) | −7.96972 | − | 6.68739i | −0.253294 | − | 0.212539i | ||||
\(991\) | −42.5959 | + | 15.5036i | −1.35310 | + | 0.492489i | −0.913915 | − | 0.405907i | \(-0.866956\pi\) |
−0.439187 | + | 0.898395i | \(0.644734\pi\) | |||||||
\(992\) | 3.06283 | + | 17.3702i | 0.0972451 | + | 0.551504i | ||||
\(993\) | −2.15853 | + | 12.2416i | −0.0684988 | + | 0.388476i | ||||
\(994\) | −25.2841 | − | 9.20264i | −0.801961 | − | 0.291890i | ||||
\(995\) | 18.2121 | + | 31.5443i | 0.577363 | + | 1.00002i | ||||
\(996\) | −17.7344 | + | 30.7169i | −0.561937 | + | 0.973303i | ||||
\(997\) | −8.03667 | + | 6.74357i | −0.254524 | + | 0.213571i | −0.761117 | − | 0.648614i | \(-0.775349\pi\) |
0.506593 | + | 0.862185i | \(0.330905\pi\) | |||||||
\(998\) | 28.4950 | − | 23.9101i | 0.901994 | − | 0.756862i | ||||
\(999\) | 7.46926 | − | 12.9371i | 0.236317 | − | 0.409313i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))