Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [77,2,Mod(10,77)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(77, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("77.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 77 = 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 77.i (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.614848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 8x^{10} + 47x^{8} - 122x^{6} + 233x^{4} - 119x^{2} + 49 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 10.6 | ||
Root | \(1.87742 + 1.08393i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 77.10 |
Dual form | 77.2.i.a.54.6 |
$q$-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 \(\left(\mathbb{Z}/77\mathbb{Z}\right)^\times\).
\(n\) | \(45\) | \(57\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.87742 | − | 1.08393i | 1.32754 | − | 0.766455i | 0.342621 | − | 0.939474i | \(-0.388685\pi\) |
0.984919 | + | 0.173019i | \(0.0553521\pi\) | |||||||
\(3\) | −0.555632 | − | 0.320794i | −0.320794 | − | 0.185211i | 0.330952 | − | 0.943648i | \(-0.392630\pi\) |
−0.651747 | + | 0.758437i | \(0.725963\pi\) | |||||||
\(4\) | 1.34981 | − | 2.33795i | 0.674907 | − | 1.16897i | ||||
\(5\) | −2.93818 | + | 1.69636i | −1.31399 | + | 0.758634i | −0.982755 | − | 0.184913i | \(-0.940800\pi\) |
−0.331238 | + | 0.943547i | \(0.607466\pi\) | |||||||
\(6\) | −1.39088 | −0.567823 | ||||||||
\(7\) | 2.49548 | + | 0.878952i | 0.943205 | + | 0.332212i | ||||
\(8\) | − | 1.51670i | − | 0.536234i | ||||||
\(9\) | −1.29418 | − | 2.24159i | −0.431394 | − | 0.747196i | ||||
\(10\) | −3.67747 | + | 6.36957i | −1.16292 | + | 2.01423i | ||||
\(11\) | −3.01835 | + | 1.37462i | −0.910066 | + | 0.414463i | ||||
\(12\) | −1.50000 | + | 0.866025i | −0.433013 | + | 0.250000i | ||||
\(13\) | 2.36397 | 0.655648 | 0.327824 | − | 0.944739i | \(-0.393685\pi\) | ||||
0.327824 | + | 0.944739i | \(0.393685\pi\) | |||||||
\(14\) | 5.63781 | − | 1.05477i | 1.50677 | − | 0.281899i | ||||
\(15\) | 2.17673 | 0.562029 | ||||||||
\(16\) | 1.05563 | + | 1.82841i | 0.263908 | + | 0.457102i | ||||
\(17\) | 1.31350 | − | 2.27505i | 0.318570 | − | 0.551780i | −0.661620 | − | 0.749840i | \(-0.730131\pi\) |
0.980190 | + | 0.198060i | \(0.0634640\pi\) | |||||||
\(18\) | −4.85946 | − | 2.80561i | −1.14538 | − | 0.661288i | ||||
\(19\) | −2.70437 | − | 4.68411i | −0.620426 | − | 1.07461i | −0.989406 | − | 0.145172i | \(-0.953626\pi\) |
0.368980 | − | 0.929437i | \(-0.379707\pi\) | |||||||
\(20\) | 9.15907i | 2.04803i | ||||||||
\(21\) | −1.10461 | − | 1.28891i | −0.241045 | − | 0.281263i | ||||
\(22\) | −4.17673 | + | 5.85242i | −0.890481 | + | 1.24774i | ||||
\(23\) | −0.705818 | − | 1.22251i | −0.147173 | − | 0.254912i | 0.783008 | − | 0.622011i | \(-0.213684\pi\) |
−0.930182 | + | 0.367100i | \(0.880351\pi\) | |||||||
\(24\) | −0.486548 | + | 0.842726i | −0.0993162 | + | 0.172021i | ||||
\(25\) | 3.25526 | − | 5.63828i | 0.651052 | − | 1.12766i | ||||
\(26\) | 4.43818 | − | 2.56238i | 0.870398 | − | 0.502525i | ||||
\(27\) | 3.58543i | 0.690017i | ||||||||
\(28\) | 5.42338 | − | 4.64789i | 1.02492 | − | 0.878368i | ||||
\(29\) | 4.96005i | 0.921059i | 0.887644 | + | 0.460529i | \(0.152340\pi\) | ||||
−0.887644 | + | 0.460529i | \(0.847660\pi\) | |||||||
\(30\) | 4.08664 | − | 2.35942i | 0.746115 | − | 0.430770i | ||||
\(31\) | −2.54944 | − | 1.47192i | −0.457893 | − | 0.264365i | 0.253265 | − | 0.967397i | \(-0.418496\pi\) |
−0.711158 | + | 0.703032i | \(0.751829\pi\) | |||||||
\(32\) | 6.59074 | + | 3.80516i | 1.16509 | + | 0.672664i | ||||
\(33\) | 2.11806 | + | 0.204487i | 0.368707 | + | 0.0355966i | ||||
\(34\) | − | 5.69497i | − | 0.976679i | ||||||
\(35\) | −8.82319 | + | 1.65072i | −1.49139 | + | 0.279022i | ||||
\(36\) | −6.98762 | −1.16460 | ||||||||
\(37\) | −0.699628 | − | 1.21179i | −0.115018 | − | 0.199217i | 0.802769 | − | 0.596290i | \(-0.203359\pi\) |
−0.917787 | + | 0.397073i | \(0.870026\pi\) | |||||||
\(38\) | −10.1545 | − | 5.86271i | −1.64728 | − | 0.951058i | ||||
\(39\) | −1.31350 | − | 0.758349i | −0.210328 | − | 0.121433i | ||||
\(40\) | 2.57286 | + | 4.45633i | 0.406805 | + | 0.704607i | ||||
\(41\) | 7.09192 | 1.10757 | 0.553786 | − | 0.832659i | \(-0.313183\pi\) | ||||
0.553786 | + | 0.832659i | \(0.313183\pi\) | |||||||
\(42\) | −3.47091 | − | 1.22251i | −0.535573 | − | 0.188638i | ||||
\(43\) | − | 4.74568i | − | 0.723710i | −0.932234 | − | 0.361855i | \(-0.882144\pi\) | ||
0.932234 | − | 0.361855i | \(-0.117856\pi\) | |||||||
\(44\) | −0.860425 | + | 8.91222i | −0.129714 | + | 1.34357i | ||||
\(45\) | 7.60507 | + | 4.39079i | 1.13370 | + | 0.654541i | ||||
\(46\) | −2.65024 | − | 1.53012i | −0.390756 | − | 0.225603i | ||||
\(47\) | −4.60507 | + | 2.65874i | −0.671719 | + | 0.387817i | −0.796728 | − | 0.604338i | \(-0.793437\pi\) |
0.125009 | + | 0.992156i | \(0.460104\pi\) | |||||||
\(48\) | − | 1.35456i | − | 0.195514i | ||||||
\(49\) | 5.45489 | + | 4.38682i | 0.779270 | + | 0.626689i | ||||
\(50\) | − | 14.1139i | − | 1.99601i | ||||||
\(51\) | −1.45964 | + | 0.842726i | −0.204391 | + | 0.118005i | ||||
\(52\) | 3.19092 | − | 5.52684i | 0.442501 | − | 0.766435i | ||||
\(53\) | 3.73236 | − | 6.46464i | 0.512679 | − | 0.887986i | −0.487213 | − | 0.873283i | \(-0.661986\pi\) |
0.999892 | − | 0.0147030i | \(-0.00468026\pi\) | |||||||
\(54\) | 3.88636 | + | 6.73137i | 0.528867 | + | 0.916024i | ||||
\(55\) | 6.53660 | − | 9.15907i | 0.881395 | − | 1.23501i | ||||
\(56\) | 1.33310 | − | 3.78490i | 0.178143 | − | 0.505778i | ||||
\(57\) | 3.47019i | 0.459638i | ||||||||
\(58\) | 5.37636 | + | 9.31212i | 0.705950 | + | 1.22274i | ||||
\(59\) | −0.610575 | − | 0.352516i | −0.0794902 | − | 0.0458937i | 0.459728 | − | 0.888060i | \(-0.347947\pi\) |
−0.539218 | + | 0.842166i | \(0.681280\pi\) | |||||||
\(60\) | 2.93818 | − | 5.08907i | 0.379317 | − | 0.656997i | ||||
\(61\) | 6.11882 | + | 10.5981i | 0.783435 | + | 1.35695i | 0.929930 | + | 0.367737i | \(0.119867\pi\) |
−0.146495 | + | 0.989211i | \(0.546799\pi\) | |||||||
\(62\) | −6.38185 | −0.810495 | ||||||||
\(63\) | −1.25936 | − | 6.73137i | −0.158665 | − | 0.848073i | ||||
\(64\) | 12.2756 | 1.53445 | ||||||||
\(65\) | −6.94577 | + | 4.01014i | −0.861517 | + | 0.497397i | ||||
\(66\) | 4.19815 | − | 1.91192i | 0.516756 | − | 0.235341i | ||||
\(67\) | −7.98762 | + | 13.8350i | −0.975843 | + | 1.69021i | −0.298719 | + | 0.954341i | \(0.596559\pi\) |
−0.677124 | + | 0.735869i | \(0.736774\pi\) | |||||||
\(68\) | −3.54596 | − | 6.14178i | −0.430011 | − | 0.744800i | ||||
\(69\) | 0.905690i | 0.109032i | ||||||||
\(70\) | −14.7756 | + | 12.6628i | −1.76602 | + | 1.51350i | ||||
\(71\) | 3.81089 | 0.452270 | 0.226135 | − | 0.974096i | \(-0.427391\pi\) | ||||
0.226135 | + | 0.974096i | \(0.427391\pi\) | |||||||
\(72\) | −3.39981 | + | 1.96288i | −0.400672 | + | 0.231328i | ||||
\(73\) | −0.618061 | + | 1.07051i | −0.0723385 | + | 0.125294i | −0.899926 | − | 0.436043i | \(-0.856380\pi\) |
0.827587 | + | 0.561337i | \(0.189713\pi\) | |||||||
\(74\) | −2.62700 | − | 1.51670i | −0.305382 | − | 0.176313i | ||||
\(75\) | −3.61745 | + | 2.08854i | −0.417708 | + | 0.241164i | ||||
\(76\) | −14.6016 | −1.67492 | ||||||||
\(77\) | −8.74046 | + | 0.777356i | −0.996068 | + | 0.0885880i | ||||
\(78\) | −3.28799 | −0.372292 | ||||||||
\(79\) | 2.08631 | − | 1.20453i | 0.234729 | − | 0.135521i | −0.378023 | − | 0.925796i | \(-0.623396\pi\) |
0.612752 | + | 0.790276i | \(0.290063\pi\) | |||||||
\(80\) | −6.20327 | − | 3.58146i | −0.693547 | − | 0.400419i | ||||
\(81\) | −2.73236 | + | 4.73259i | −0.303596 | + | 0.525843i | ||||
\(82\) | 13.3145 | − | 7.68715i | 1.47034 | − | 0.848904i | ||||
\(83\) | −12.3924 | −1.36024 | −0.680121 | − | 0.733100i | \(-0.738073\pi\) | ||||
−0.680121 | + | 0.733100i | \(0.738073\pi\) | |||||||
\(84\) | −4.50442 | + | 0.842726i | −0.491473 | + | 0.0919489i | ||||
\(85\) | 8.91266i | 0.966713i | ||||||||
\(86\) | −5.14400 | − | 8.90966i | −0.554691 | − | 0.960754i | ||||
\(87\) | 1.59116 | − | 2.75596i | 0.170590 | − | 0.295470i | ||||
\(88\) | 2.08488 | + | 4.57792i | 0.222249 | + | 0.488008i | ||||
\(89\) | −2.33929 | + | 1.35059i | −0.247965 | + | 0.143162i | −0.618832 | − | 0.785523i | \(-0.712394\pi\) |
0.370867 | + | 0.928686i | \(0.379060\pi\) | |||||||
\(90\) | 19.0373 | 2.00670 | ||||||||
\(91\) | 5.89926 | + | 2.07782i | 0.618410 | + | 0.217814i | ||||
\(92\) | −3.81089 | −0.397313 | ||||||||
\(93\) | 0.944368 | + | 1.63569i | 0.0979264 | + | 0.169613i | ||||
\(94\) | −5.76378 | + | 9.98317i | −0.594489 | + | 1.02969i | ||||
\(95\) | 15.8919 | + | 9.17517i | 1.63047 | + | 0.941353i | ||||
\(96\) | −2.44135 | − | 4.22854i | −0.249169 | − | 0.431574i | ||||
\(97\) | − | 1.92477i | − | 0.195430i | −0.995214 | − | 0.0977152i | \(-0.968847\pi\) | ||
0.995214 | − | 0.0977152i | \(-0.0311534\pi\) | |||||||
\(98\) | 14.9962 | + | 2.32320i | 1.51484 | + | 0.234678i | ||||
\(99\) | 6.98762 | + | 4.98689i | 0.702282 | + | 0.501201i | ||||
\(100\) | −8.78799 | − | 15.2212i | −0.878799 | − | 1.52212i | ||||
\(101\) | 8.96934 | − | 15.5354i | 0.892483 | − | 1.54583i | 0.0555932 | − | 0.998453i | \(-0.482295\pi\) |
0.836889 | − | 0.547372i | \(-0.184372\pi\) | |||||||
\(102\) | −1.82691 | + | 3.16431i | −0.180891 | + | 0.313313i | ||||
\(103\) | 0.0185696 | − | 0.0107211i | 0.00182971 | − | 0.00105639i | −0.499085 | − | 0.866553i | \(-0.666330\pi\) |
0.500915 | + | 0.865497i | \(0.332997\pi\) | |||||||
\(104\) | − | 3.58543i | − | 0.351580i | ||||||
\(105\) | 5.43199 | + | 1.91324i | 0.530108 | + | 0.186713i | ||||
\(106\) | − | 16.1825i | − | 1.57178i | ||||||
\(107\) | −7.06867 | + | 4.08110i | −0.683355 | + | 0.394535i | −0.801118 | − | 0.598507i | \(-0.795761\pi\) |
0.117763 | + | 0.993042i | \(0.462428\pi\) | |||||||
\(108\) | 8.38255 | + | 4.83967i | 0.806611 | + | 0.465697i | ||||
\(109\) | −10.5312 | − | 6.08021i | −1.00871 | − | 0.582378i | −0.0978956 | − | 0.995197i | \(-0.531211\pi\) |
−0.910813 | + | 0.412818i | \(0.864544\pi\) | |||||||
\(110\) | 2.34417 | − | 24.2807i | 0.223508 | − | 2.31507i | ||||
\(111\) | 0.897747i | 0.0852104i | ||||||||
\(112\) | 1.02723 | + | 5.49061i | 0.0970642 | + | 0.518814i | ||||
\(113\) | −12.3869 | −1.16526 | −0.582630 | − | 0.812738i | \(-0.697976\pi\) | ||||
−0.582630 | + | 0.812738i | \(0.697976\pi\) | |||||||
\(114\) | 3.76145 | + | 6.51502i | 0.352292 | + | 0.610188i | ||||
\(115\) | 4.14764 | + | 2.39464i | 0.386769 | + | 0.223301i | ||||
\(116\) | 11.5963 | + | 6.69515i | 1.07669 | + | 0.621629i | ||||
\(117\) | −3.05941 | − | 5.29905i | −0.282843 | − | 0.489898i | ||||
\(118\) | −1.52841 | −0.140702 | ||||||||
\(119\) | 5.27747 | − | 4.52284i | 0.483785 | − | 0.414608i | ||||
\(120\) | − | 3.30144i | − | 0.301379i | ||||||
\(121\) | 7.22085 | − | 8.29815i | 0.656441 | − | 0.754377i | ||||
\(122\) | 22.9752 | + | 13.2648i | 2.08008 | + | 1.20094i | ||||
\(123\) | −3.94050 | − | 2.27505i | −0.355303 | − | 0.205134i | ||||
\(124\) | −6.88255 | + | 3.97364i | −0.618071 | + | 0.356843i | ||||
\(125\) | 5.12477i | 0.458373i | ||||||||
\(126\) | −9.66071 | − | 11.2726i | −0.860644 | − | 1.00424i | ||||
\(127\) | − | 14.2371i | − | 1.26333i | −0.775240 | − | 0.631667i | \(-0.782371\pi\) | ||
0.775240 | − | 0.631667i | \(-0.217629\pi\) | |||||||
\(128\) | 9.86506 | − | 5.69559i | 0.871956 | − | 0.503424i | ||||
\(129\) | −1.52239 | + | 2.63685i | −0.134039 | + | 0.232162i | ||||
\(130\) | −8.69344 | + | 15.0575i | −0.762465 | + | 1.32063i | ||||
\(131\) | 2.79638 | + | 4.84348i | 0.244321 | + | 0.423177i | 0.961941 | − | 0.273259i | \(-0.0881015\pi\) |
−0.717619 | + | 0.696436i | \(0.754768\pi\) | |||||||
\(132\) | 3.33707 | − | 4.67589i | 0.290454 | − | 0.406984i | ||||
\(133\) | −2.63162 | − | 14.0662i | −0.228190 | − | 1.21969i | ||||
\(134\) | 34.6321i | 2.99176i | ||||||||
\(135\) | −6.08217 | − | 10.5346i | −0.523470 | − | 0.906677i | ||||
\(136\) | −3.45056 | − | 1.99218i | −0.295883 | − | 0.170828i | ||||
\(137\) | 1.42147 | − | 2.46205i | 0.121444 | − | 0.210348i | −0.798893 | − | 0.601473i | \(-0.794581\pi\) |
0.920337 | + | 0.391125i | \(0.127914\pi\) | |||||||
\(138\) | 0.981705 | + | 1.70036i | 0.0835683 | + | 0.144745i | ||||
\(139\) | 6.90790 | 0.585920 | 0.292960 | − | 0.956125i | \(-0.405360\pi\) | ||||
0.292960 | + | 0.956125i | \(0.405360\pi\) | |||||||
\(140\) | −8.05038 | + | 22.8563i | −0.680381 | + | 1.93171i | ||||
\(141\) | 3.41164 | 0.287312 | ||||||||
\(142\) | 7.15466 | − | 4.13075i | 0.600406 | − | 0.346644i | ||||
\(143\) | −7.13529 | + | 3.24956i | −0.596683 | + | 0.271742i | ||||
\(144\) | 2.73236 | − | 4.73259i | 0.227697 | − | 0.394382i | ||||
\(145\) | −8.41402 | − | 14.5735i | −0.698747 | − | 1.21026i | ||||
\(146\) | 2.67974i | 0.221777i | ||||||||
\(147\) | −1.62364 | − | 4.18736i | −0.133916 | − | 0.345367i | ||||
\(148\) | −3.77747 | −0.310506 | ||||||||
\(149\) | 8.86270 | − | 5.11688i | 0.726060 | − | 0.419191i | −0.0909187 | − | 0.995858i | \(-0.528980\pi\) |
0.816979 | + | 0.576667i | \(0.195647\pi\) | |||||||
\(150\) | −4.52766 | + | 7.84214i | −0.369682 | + | 0.640308i | ||||
\(151\) | 1.29026 | + | 0.744930i | 0.105000 | + | 0.0606216i | 0.551580 | − | 0.834122i | \(-0.314025\pi\) |
−0.446581 | + | 0.894743i | \(0.647358\pi\) | |||||||
\(152\) | −7.10439 | + | 4.10172i | −0.576242 | + | 0.332693i | ||||
\(153\) | −6.79963 | −0.549717 | ||||||||
\(154\) | −15.5670 | + | 10.9335i | −1.25442 | + | 0.881046i | ||||
\(155\) | 9.98762 | 0.802225 | ||||||||
\(156\) | −3.54596 | + | 2.04726i | −0.283904 | + | 0.163912i | ||||
\(157\) | 14.3640 | + | 8.29305i | 1.14637 | + | 0.661857i | 0.948000 | − | 0.318270i | \(-0.103102\pi\) |
0.198370 | + | 0.980127i | \(0.436435\pi\) | |||||||
\(158\) | 2.61126 | − | 4.52284i | 0.207741 | − | 0.359818i | ||||
\(159\) | −4.14764 | + | 2.39464i | −0.328929 | + | 0.189907i | ||||
\(160\) | −25.8197 | −2.04122 | ||||||||
\(161\) | −0.686829 | − | 3.67114i | −0.0541297 | − | 0.289326i | ||||
\(162\) | 11.8468i | 0.930770i | ||||||||
\(163\) | −4.38874 | − | 7.60151i | −0.343752 | − | 0.595396i | 0.641374 | − | 0.767228i | \(-0.278365\pi\) |
−0.985126 | + | 0.171832i | \(0.945031\pi\) | |||||||
\(164\) | 9.57277 | − | 16.5805i | 0.747508 | − | 1.29472i | ||||
\(165\) | −6.57012 | + | 2.99217i | −0.511483 | + | 0.232940i | ||||
\(166\) | −23.2658 | + | 13.4325i | −1.80577 | + | 1.04256i | ||||
\(167\) | −13.8451 | −1.07136 | −0.535681 | − | 0.844420i | \(-0.679945\pi\) | ||||
−0.535681 | + | 0.844420i | \(0.679945\pi\) | |||||||
\(168\) | −1.95489 | + | 1.67536i | −0.150823 | + | 0.129257i | ||||
\(169\) | −7.41164 | −0.570126 | ||||||||
\(170\) | 9.66071 | + | 16.7328i | 0.740942 | + | 1.28335i | ||||
\(171\) | −6.99991 | + | 12.1242i | −0.535296 | + | 0.927160i | ||||
\(172\) | −11.0952 | − | 6.40579i | −0.845998 | − | 0.488437i | ||||
\(173\) | 3.25367 | + | 5.63552i | 0.247372 | + | 0.428460i | 0.962796 | − | 0.270230i | \(-0.0870998\pi\) |
−0.715424 | + | 0.698691i | \(0.753766\pi\) | |||||||
\(174\) | − | 6.89882i | − | 0.522998i | ||||||
\(175\) | 13.0792 | − | 11.2090i | 0.988696 | − | 0.847322i | ||||
\(176\) | −5.69963 | − | 4.06768i | −0.429626 | − | 0.306613i | ||||
\(177\) | 0.226170 | + | 0.391738i | 0.0170000 | + | 0.0294449i | ||||
\(178\) | −2.92790 | + | 5.07127i | −0.219455 | + | 0.380108i | ||||
\(179\) | 2.23236 | − | 3.86656i | 0.166854 | − | 0.289000i | −0.770458 | − | 0.637491i | \(-0.779972\pi\) |
0.937312 | + | 0.348491i | \(0.113306\pi\) | |||||||
\(180\) | 20.5309 | − | 11.8535i | 1.53028 | − | 0.883508i | ||||
\(181\) | 2.23087i | 0.165819i | 0.996557 | + | 0.0829095i | \(0.0264213\pi\) | ||||
−0.996557 | + | 0.0829095i | \(0.973579\pi\) | |||||||
\(182\) | 13.3276 | − | 2.49345i | 0.987909 | − | 0.184826i | ||||
\(183\) | − | 7.85153i | − | 0.580402i | ||||||
\(184\) | −1.85418 | + | 1.07051i | −0.136692 | + | 0.0789192i | ||||
\(185\) | 4.11126 | + | 2.37364i | 0.302266 | + | 0.174513i | ||||
\(186\) | 3.54596 | + | 2.04726i | 0.260002 | + | 0.150112i | ||||
\(187\) | −0.837277 | + | 8.67244i | −0.0612277 | + | 0.634192i | ||||
\(188\) | 14.3552i | 1.04696i | ||||||||
\(189\) | −3.15142 | + | 8.94739i | −0.229232 | + | 0.650827i | ||||
\(190\) | 39.7810 | 2.88602 | ||||||||
\(191\) | 6.86584 | + | 11.8920i | 0.496794 | + | 0.860473i | 0.999993 | − | 0.00369752i | \(-0.00117696\pi\) |
−0.503199 | + | 0.864171i | \(0.667844\pi\) | |||||||
\(192\) | −6.82072 | − | 3.93795i | −0.492243 | − | 0.284197i | ||||
\(193\) | 10.7634 | + | 6.21423i | 0.774764 | + | 0.447310i | 0.834571 | − | 0.550900i | \(-0.185715\pi\) |
−0.0598075 | + | 0.998210i | \(0.519049\pi\) | |||||||
\(194\) | −2.08631 | − | 3.61360i | −0.149789 | − | 0.259442i | ||||
\(195\) | 5.14572 | 0.368493 | ||||||||
\(196\) | 17.6192 | − | 6.83185i | 1.25852 | − | 0.487989i | ||||
\(197\) | − | 24.7576i | − | 1.76391i | −0.471335 | − | 0.881954i | \(-0.656228\pi\) | ||
0.471335 | − | 0.881954i | \(-0.343772\pi\) | |||||||
\(198\) | 18.5242 | + | 1.78841i | 1.31646 | + | 0.127097i | ||||
\(199\) | −14.5123 | − | 8.37868i | −1.02875 | − | 0.593949i | −0.112124 | − | 0.993694i | \(-0.535765\pi\) |
−0.916626 | + | 0.399745i | \(0.869099\pi\) | |||||||
\(200\) | −8.55156 | − | 4.93725i | −0.604687 | − | 0.349116i | ||||
\(201\) | 8.87636 | − | 5.12477i | 0.626090 | − | 0.361473i | ||||
\(202\) | − | 38.8886i | − | 2.73619i | ||||||
\(203\) | −4.35965 | + | 12.3777i | −0.305987 | + | 0.868747i | ||||
\(204\) | 4.55009i | 0.318570i | ||||||||
\(205\) | −20.8373 | + | 12.0304i | −1.45534 | + | 0.840242i | ||||
\(206\) | 0.0232420 | − | 0.0402563i | 0.00161934 | − | 0.00280479i | ||||
\(207\) | −1.82691 | + | 3.16431i | −0.126979 | + | 0.219935i | ||||
\(208\) | 2.49548 | + | 4.32231i | 0.173031 | + | 0.299698i | ||||
\(209\) | 14.6016 | + | 10.4208i | 1.01001 | + | 0.720822i | ||||
\(210\) | 12.2720 | − | 2.29595i | 0.846846 | − | 0.158435i | ||||
\(211\) | − | 2.06857i | − | 0.142406i | −0.997462 | − | 0.0712032i | \(-0.977316\pi\) | ||
0.997462 | − | 0.0712032i | \(-0.0226839\pi\) | |||||||
\(212\) | −10.0760 | − | 17.4521i | −0.692021 | − | 1.19862i | ||||
\(213\) | −2.11745 | − | 1.22251i | −0.145086 | − | 0.0837652i | ||||
\(214\) | −8.84727 | + | 15.3239i | −0.604787 | + | 1.04752i | ||||
\(215\) | 8.05038 | + | 13.9437i | 0.549031 | + | 0.950950i | ||||
\(216\) | 5.43801 | 0.370010 | ||||||||
\(217\) | −5.06835 | − | 5.91399i | −0.344062 | − | 0.401468i | ||||
\(218\) | −26.3621 | −1.78547 | ||||||||
\(219\) | 0.686829 | − | 0.396541i | 0.0464116 | − | 0.0267957i | ||||
\(220\) | −12.5902 | − | 27.6453i | −0.848833 | − | 1.86384i | ||||
\(221\) | 3.10507 | − | 5.37815i | 0.208870 | − | 0.361773i | ||||
\(222\) | 0.973096 | + | 1.68545i | 0.0653099 | + | 0.113120i | ||||
\(223\) | − | 2.50291i | − | 0.167607i | −0.996482 | − | 0.0838037i | \(-0.973293\pi\) | ||
0.996482 | − | 0.0838037i | \(-0.0267069\pi\) | |||||||
\(224\) | 13.1025 | + | 15.2887i | 0.875449 | + | 1.02152i | ||||
\(225\) | −16.8516 | −1.12344 | ||||||||
\(226\) | −23.2554 | + | 13.4265i | −1.54693 | + | 0.893119i | ||||
\(227\) | 7.90423 | − | 13.6905i | 0.524622 | − | 0.908673i | −0.474967 | − | 0.880004i | \(-0.657540\pi\) |
0.999589 | − | 0.0286689i | \(-0.00912684\pi\) | |||||||
\(228\) | 8.11312 | + | 4.68411i | 0.537305 | + | 0.310213i | ||||
\(229\) | −15.5989 | + | 9.00602i | −1.03080 | + | 0.595135i | −0.917215 | − | 0.398393i | \(-0.869568\pi\) |
−0.113589 | + | 0.993528i | \(0.536235\pi\) | |||||||
\(230\) | 10.3825 | 0.684602 | ||||||||
\(231\) | 5.10585 | + | 2.37197i | 0.335941 | + | 0.156064i | ||||
\(232\) | 7.52290 | 0.493903 | ||||||||
\(233\) | −4.44426 | + | 2.56590i | −0.291153 | + | 0.168097i | −0.638462 | − | 0.769653i | \(-0.720429\pi\) |
0.347309 | + | 0.937751i | \(0.387096\pi\) | |||||||
\(234\) | −11.4876 | − | 6.63238i | −0.750969 | − | 0.433572i | ||||
\(235\) | 9.02035 | − | 15.6237i | 0.588423 | − | 1.01918i | ||||
\(236\) | −1.64833 | + | 0.951662i | −0.107297 | + | 0.0619479i | ||||
\(237\) | −1.54563 | −0.100400 | ||||||||
\(238\) | 5.00560 | − | 14.2117i | 0.324465 | − | 0.921208i | ||||
\(239\) | 2.89148i | 0.187034i | 0.995618 | + | 0.0935171i | \(0.0298110\pi\) | ||||
−0.995618 | + | 0.0935171i | \(0.970189\pi\) | |||||||
\(240\) | 2.29782 | + | 3.97995i | 0.148324 | + | 0.256905i | ||||
\(241\) | −11.8826 | + | 20.5813i | −0.765426 | + | 1.32576i | 0.174595 | + | 0.984640i | \(0.444138\pi\) |
−0.940021 | + | 0.341116i | \(0.889195\pi\) | |||||||
\(242\) | 4.56197 | − | 23.4061i | 0.293255 | − | 1.50460i | ||||
\(243\) | 12.3516 | − | 7.13120i | 0.792355 | − | 0.457467i | ||||
\(244\) | 33.0371 | 2.11498 | ||||||||
\(245\) | −23.4691 | − | 3.63582i | −1.49938 | − | 0.232284i | ||||
\(246\) | −9.86398 | −0.628904 | ||||||||
\(247\) | −6.39307 | − | 11.0731i | −0.406781 | − | 0.704565i | ||||
\(248\) | −2.23246 | + | 3.86673i | −0.141761 | + | 0.245538i | ||||
\(249\) | 6.88561 | + | 3.97541i | 0.436358 | + | 0.251931i | ||||
\(250\) | 5.55489 | + | 9.62136i | 0.351322 | + | 0.608508i | ||||
\(251\) | 8.92436i | 0.563300i | 0.959517 | + | 0.281650i | \(0.0908818\pi\) | ||||
−0.959517 | + | 0.281650i | \(0.909118\pi\) | |||||||
\(252\) | −17.4375 | − | 6.14178i | −1.09846 | − | 0.386896i | ||||
\(253\) | 3.81089 | + | 2.71974i | 0.239589 | + | 0.170989i | ||||
\(254\) | −15.4320 | − | 26.7290i | −0.968289 | − | 1.67713i | ||||
\(255\) | 2.85913 | − | 4.95216i | 0.179046 | − | 0.310116i | ||||
\(256\) | 0.0716537 | − | 0.124108i | 0.00447836 | − | 0.00775674i | ||||
\(257\) | 20.0920 | − | 11.6001i | 1.25330 | − | 0.723596i | 0.281541 | − | 0.959549i | \(-0.409155\pi\) |
0.971764 | + | 0.235953i | \(0.0758213\pi\) | |||||||
\(258\) | 6.60066i | 0.410939i | ||||||||
\(259\) | −0.680805 | − | 3.63895i | −0.0423032 | − | 0.226113i | ||||
\(260\) | 21.6518i | 1.34279i | ||||||||
\(261\) | 11.1184 | − | 6.41921i | 0.688212 | − | 0.397339i | ||||
\(262\) | 10.5000 | + | 6.06218i | 0.648692 | + | 0.374523i | ||||
\(263\) | 2.95879 | + | 1.70826i | 0.182447 | + | 0.105336i | 0.588442 | − | 0.808540i | \(-0.299742\pi\) |
−0.405995 | + | 0.913875i | \(0.633075\pi\) | |||||||
\(264\) | 0.310145 | − | 3.21246i | 0.0190881 | − | 0.197713i | ||||
\(265\) | 25.3257i | 1.55574i | ||||||||
\(266\) | −20.1874 | − | 23.5556i | −1.23777 | − | 1.44429i | ||||
\(267\) | 1.73305 | 0.106061 | ||||||||
\(268\) | 21.5636 | + | 37.3493i | 1.31721 | + | 2.28147i | ||||
\(269\) | −4.22803 | − | 2.44105i | −0.257788 | − | 0.148834i | 0.365537 | − | 0.930797i | \(-0.380885\pi\) |
−0.623325 | + | 0.781963i | \(0.714219\pi\) | |||||||
\(270\) | −22.8376 | − | 13.1853i | −1.38985 | − | 0.802433i | ||||
\(271\) | 8.89196 | + | 15.4013i | 0.540148 | + | 0.935564i | 0.998895 | + | 0.0469972i | \(0.0149652\pi\) |
−0.458747 | + | 0.888567i | \(0.651701\pi\) | |||||||
\(272\) | 5.54629 | 0.336293 | ||||||||
\(273\) | −2.61126 | − | 3.04695i | −0.158041 | − | 0.184410i | ||||
\(274\) | − | 6.16309i | − | 0.372326i | ||||||
\(275\) | −2.07503 | + | 21.4930i | −0.125129 | + | 1.29608i | ||||
\(276\) | 2.11745 | + | 1.22251i | 0.127456 | + | 0.0735866i | ||||
\(277\) | 17.2914 | + | 9.98317i | 1.03894 | + | 0.599830i | 0.919532 | − | 0.393015i | \(-0.128568\pi\) |
0.119405 | + | 0.992846i | \(0.461901\pi\) | |||||||
\(278\) | 12.9691 | − | 7.48768i | 0.777832 | − | 0.449081i | ||||
\(279\) | 7.61974i | 0.456182i | ||||||||
\(280\) | 2.50364 | + | 13.3821i | 0.149621 | + | 0.799735i | ||||
\(281\) | 5.46631i | 0.326093i | 0.986618 | + | 0.163047i | \(0.0521321\pi\) | ||||
−0.986618 | + | 0.163047i | \(0.947868\pi\) | |||||||
\(282\) | 6.40509 | − | 3.69798i | 0.381417 | − | 0.220211i | ||||
\(283\) | −7.31544 | + | 12.6707i | −0.434858 | + | 0.753196i | −0.997284 | − | 0.0736518i | \(-0.976535\pi\) |
0.562426 | + | 0.826847i | \(0.309868\pi\) | |||||||
\(284\) | 5.14400 | − | 8.90966i | 0.305240 | − | 0.528691i | ||||
\(285\) | −5.88669 | − | 10.1960i | −0.348697 | − | 0.603961i | ||||
\(286\) | −9.87367 | + | 13.8350i | −0.583842 | + | 0.818079i | ||||
\(287\) | 17.6978 | + | 6.23345i | 1.04467 | + | 0.367949i | ||||
\(288\) | − | 19.6983i | − | 1.16073i | ||||||
\(289\) | 5.04944 | + | 8.74589i | 0.297026 | + | 0.514464i | ||||
\(290\) | −31.5934 | − | 18.2404i | −1.85523 | − | 1.07112i | ||||
\(291\) | −0.617454 | + | 1.06946i | −0.0361958 | + | 0.0626930i | ||||
\(292\) | 1.66853 | + | 2.88999i | 0.0976436 | + | 0.169124i | ||||
\(293\) | −19.1455 | −1.11849 | −0.559247 | − | 0.829001i | \(-0.688910\pi\) | ||||
−0.559247 | + | 0.829001i | \(0.688910\pi\) | |||||||
\(294\) | −7.58707 | − | 6.10152i | −0.442487 | − | 0.355848i | ||||
\(295\) | 2.39197 | 0.139266 | ||||||||
\(296\) | −1.83792 | + | 1.06112i | −0.106827 | + | 0.0616766i | ||||
\(297\) | −4.92860 | − | 10.8221i | −0.285986 | − | 0.627961i | ||||
\(298\) | 11.0927 | − | 19.2131i | 0.642583 | − | 1.11299i | ||||
\(299\) | −1.66853 | − | 2.88999i | −0.0964938 | − | 0.167132i | ||||
\(300\) | 11.2766i | 0.651052i | ||||||||
\(301\) | 4.17123 | − | 11.8428i | 0.240426 | − | 0.682607i | ||||
\(302\) | 3.22981 | 0.185855 | ||||||||
\(303\) | −9.96731 | + | 5.75463i | −0.572607 | + | 0.330595i | ||||
\(304\) | 5.70965 | − | 9.88940i | 0.327471 | − | 0.567196i | ||||
\(305\) | −35.9564 | − | 20.7594i | −2.05886 | − | 1.18868i | ||||
\(306\) | −12.7658 | + | 7.37033i | −0.729771 | + | 0.421334i | ||||
\(307\) | −6.93716 | −0.395925 | −0.197962 | − | 0.980210i | \(-0.563432\pi\) | ||||
−0.197962 | + | 0.980210i | \(0.563432\pi\) | |||||||
\(308\) | −9.98058 | + | 21.4840i | −0.568697 | + | 1.22417i | ||||
\(309\) | −0.0137571 | −0.000782616 | ||||||||
\(310\) | 18.7510 | − | 10.8259i | 1.06499 | − | 0.614869i | ||||
\(311\) | 23.0371 | + | 13.3005i | 1.30631 | + | 0.754200i | 0.981479 | − | 0.191572i | \(-0.0613585\pi\) |
0.324833 | + | 0.945771i | \(0.394692\pi\) | |||||||
\(312\) | −1.15019 | + | 1.99218i | −0.0651165 | + | 0.112785i | ||||
\(313\) | 20.3454 | − | 11.7464i | 1.14999 | − | 0.663947i | 0.201105 | − | 0.979570i | \(-0.435547\pi\) |
0.948885 | + | 0.315622i | \(0.102213\pi\) | |||||||
\(314\) | 35.9564 | 2.02914 | ||||||||
\(315\) | 15.1191 | + | 17.6416i | 0.851862 | + | 0.993994i | ||||
\(316\) | − | 6.50359i | − | 0.365855i | ||||||
\(317\) | 12.7305 | + | 22.0499i | 0.715016 | + | 1.23844i | 0.962953 | + | 0.269668i | \(0.0869140\pi\) |
−0.247937 | + | 0.968776i | \(0.579753\pi\) | |||||||
\(318\) | −5.19125 | + | 8.99151i | −0.291111 | + | 0.504219i | ||||
\(319\) | −6.81818 | − | 14.9712i | −0.381745 | − | 0.838224i | ||||
\(320\) | −36.0679 | + | 20.8238i | −2.01626 | + | 1.16409i | ||||
\(321\) | 5.23678 | 0.292288 | ||||||||
\(322\) | −5.26873 | − | 6.14781i | −0.293615 | − | 0.342604i | ||||
\(323\) | −14.2088 | −0.790597 | ||||||||
\(324\) | 7.37636 | + | 12.7762i | 0.409798 | + | 0.709790i | ||||
\(325\) | 7.69534 | − | 13.3287i | 0.426861 | − | 0.739345i | ||||
\(326\) | −16.4790 | − | 9.51418i | −0.912689 | − | 0.526941i | ||||
\(327\) | 3.90099 | + | 6.75672i | 0.215725 | + | 0.373647i | ||||
\(328\) | − | 10.7563i | − | 0.593917i | ||||||
\(329\) | −13.8288 | + | 2.58721i | −0.762406 | + | 0.142638i | ||||
\(330\) | −9.09160 | + | 12.7391i | −0.500476 | + | 0.701266i | ||||
\(331\) | −5.97710 | − | 10.3526i | −0.328531 | − | 0.569033i | 0.653689 | − | 0.756763i | \(-0.273220\pi\) |
−0.982221 | + | 0.187730i | \(0.939887\pi\) | |||||||
\(332\) | −16.7274 | + | 28.9728i | −0.918037 | + | 1.59009i | ||||
\(333\) | −1.81089 | + | 3.13656i | −0.0992363 | + | 0.171882i | ||||
\(334\) | −25.9930 | + | 15.0071i | −1.42228 | + | 0.821152i | ||||
\(335\) | − | 54.1995i | − | 2.96123i | ||||||
\(336\) | 1.19060 | − | 3.38029i | 0.0649523 | − | 0.184410i | ||||
\(337\) | 8.06590i | 0.439378i | 0.975570 | + | 0.219689i | \(0.0705042\pi\) | ||||
−0.975570 | + | 0.219689i | \(0.929496\pi\) | |||||||
\(338\) | −13.9148 | + | 8.03370i | −0.756864 | + | 0.436976i | ||||
\(339\) | 6.88255 | + | 3.97364i | 0.373809 | + | 0.215818i | ||||
\(340\) | 20.8373 | + | 12.0304i | 1.13006 | + | 0.652442i | ||||
\(341\) | 9.71843 | + | 0.938261i | 0.526283 | + | 0.0508097i | ||||
\(342\) | 30.3497i | 1.64112i | ||||||||
\(343\) | 9.75679 | + | 15.7418i | 0.526817 | + | 0.849979i | ||||
\(344\) | −7.19777 | −0.388078 | ||||||||
\(345\) | −1.53637 | − | 2.66108i | −0.0827156 | − | 0.143268i | ||||
\(346\) | 12.2170 | + | 7.05350i | 0.656791 | + | 0.379199i | ||||
\(347\) | 1.66853 | + | 0.963329i | 0.0895716 | + | 0.0517142i | 0.544117 | − | 0.839010i | \(-0.316865\pi\) |
−0.454545 | + | 0.890724i | \(0.650198\pi\) | |||||||
\(348\) | −4.29553 | − | 7.44008i | −0.230265 | − | 0.398830i | ||||
\(349\) | −9.68965 | −0.518675 | −0.259337 | − | 0.965787i | \(-0.583504\pi\) | ||||
−0.259337 | + | 0.965787i | \(0.583504\pi\) | |||||||
\(350\) | 12.4054 | − | 35.2211i | 0.663099 | − | 1.88264i | ||||
\(351\) | 8.47586i | 0.452408i | ||||||||
\(352\) | −25.1238 | − | 2.42556i | −1.33910 | − | 0.129283i | ||||
\(353\) | −18.0748 | − | 10.4355i | −0.962025 | − | 0.555426i | −0.0652295 | − | 0.997870i | \(-0.520778\pi\) |
−0.896796 | + | 0.442445i | \(0.854111\pi\) | |||||||
\(354\) | 0.849235 | + | 0.490306i | 0.0451363 | + | 0.0260595i | ||||
\(355\) | −11.1971 | + | 6.46464i | −0.594279 | + | 0.343107i | ||||
\(356\) | 7.29219i | 0.386485i | ||||||||
\(357\) | −4.38323 | + | 0.820053i | −0.231985 | + | 0.0434018i | ||||
\(358\) | − | 9.67890i | − | 0.511546i | ||||||
\(359\) | 19.8951 | − | 11.4864i | 1.05002 | − | 0.606231i | 0.127368 | − | 0.991856i | \(-0.459347\pi\) |
0.922656 | + | 0.385624i | \(0.126014\pi\) | |||||||
\(360\) | 6.65950 | − | 11.5346i | 0.350987 | − | 0.607927i | ||||
\(361\) | −5.12729 | + | 8.88072i | −0.269857 | + | 0.467406i | ||||
\(362\) | 2.41811 | + | 4.18828i | 0.127093 | + | 0.220131i | ||||
\(363\) | −6.67414 | + | 2.29431i | −0.350301 | + | 0.120420i | ||||
\(364\) | 12.8207 | − | 10.9875i | 0.671989 | − | 0.575900i | ||||
\(365\) | − | 4.19381i | − | 0.219514i | ||||||
\(366\) | −8.51052 | − | 14.7407i | −0.444852 | − | 0.770506i | ||||
\(367\) | −13.9821 | − | 8.07258i | −0.729861 | − | 0.421385i | 0.0885105 | − | 0.996075i | \(-0.471789\pi\) |
−0.818371 | + | 0.574690i | \(0.805123\pi\) | |||||||
\(368\) | 1.49017 | − | 2.58105i | 0.0776804 | − | 0.134546i | ||||
\(369\) | −9.17823 | − | 15.8972i | −0.477800 | − | 0.827573i | ||||
\(370\) | 10.2914 | 0.535027 | ||||||||
\(371\) | 14.9962 | − | 12.8518i | 0.778561 | − | 0.667234i | ||||
\(372\) | 5.09888 | 0.264365 | ||||||||
\(373\) | 20.0482 | − | 11.5749i | 1.03806 | − | 0.599323i | 0.118776 | − | 0.992921i | \(-0.462103\pi\) |
0.919283 | + | 0.393598i | \(0.128770\pi\) | |||||||
\(374\) | 7.82841 | + | 17.1894i | 0.404797 | + | 0.888843i | ||||
\(375\) | 1.64400 | − | 2.84748i | 0.0848956 | − | 0.147043i | ||||
\(376\) | 4.03251 | + | 6.98451i | 0.207961 | + | 0.360198i | ||||
\(377\) | 11.7254i | 0.603890i | ||||||||
\(378\) | 3.78180 | + | 20.2140i | 0.194515 | + | 1.03969i | ||||
\(379\) | 17.4968 | 0.898748 | 0.449374 | − | 0.893344i | \(-0.351647\pi\) | ||||
0.449374 | + | 0.893344i | \(0.351647\pi\) | |||||||
\(380\) | 42.9021 | − | 24.7696i | 2.20083 | − | 1.27065i | ||||
\(381\) | −4.56717 | + | 7.91056i | −0.233983 | + | 0.405270i | ||||
\(382\) | 25.7802 | + | 14.8842i | 1.31903 | + | 0.761541i | ||||
\(383\) | 8.40723 | − | 4.85392i | 0.429589 | − | 0.248024i | −0.269582 | − | 0.962977i | \(-0.586886\pi\) |
0.699172 | + | 0.714954i | \(0.253552\pi\) | |||||||
\(384\) | −7.30846 | −0.372958 | ||||||||
\(385\) | 24.3624 | − | 17.1110i | 1.24162 | − | 0.872056i | ||||
\(386\) | 26.9432 | 1.37137 | ||||||||
\(387\) | −10.6379 | + | 6.14178i | −0.540754 | + | 0.312204i | ||||
\(388\) | −4.50000 | − | 2.59808i | −0.228453 | − | 0.131897i | ||||
\(389\) | −7.82505 | + | 13.5534i | −0.396746 | + | 0.687184i | −0.993322 | − | 0.115372i | \(-0.963194\pi\) |
0.596576 | + | 0.802556i | \(0.296527\pi\) | |||||||
\(390\) | 9.66071 | − | 5.57761i | 0.489189 | − | 0.282433i | ||||
\(391\) | −3.70836 | −0.187540 | ||||||||
\(392\) | 6.65348 | − | 8.27342i | 0.336052 | − | 0.417871i | ||||
\(393\) | − | 3.58826i | − | 0.181004i | ||||||
\(394\) | −26.8356 | − | 46.4806i | −1.35196 | − | 2.34166i | ||||
\(395\) | −4.08664 | + | 7.07827i | −0.205621 | + | 0.356146i | ||||
\(396\) | 21.0911 | − | 9.60531i | 1.05987 | − | 0.482685i | ||||
\(397\) | −22.9615 | + | 13.2568i | −1.15240 | + | 0.665341i | −0.949472 | − | 0.313852i | \(-0.898380\pi\) |
−0.202932 | + | 0.979193i | \(0.565047\pi\) | |||||||
\(398\) | −36.3277 | −1.82094 | ||||||||
\(399\) | −3.05013 | + | 8.65981i | −0.152698 | + | 0.433533i | ||||
\(400\) | 13.7454 | 0.687271 | ||||||||
\(401\) | −5.08905 | − | 8.81450i | −0.254135 | − | 0.440175i | 0.710525 | − | 0.703672i | \(-0.248457\pi\) |
−0.964660 | + | 0.263497i | \(0.915124\pi\) | |||||||
\(402\) | 11.1098 | − | 19.2427i | 0.554106 | − | 0.959740i | ||||
\(403\) | −6.02681 | − | 3.47958i | −0.300217 | − | 0.173330i | ||||
\(404\) | −24.2139 | − | 41.9397i | −1.20469 | − | 2.08658i | ||||
\(405\) | − | 18.5402i | − | 0.921272i | ||||||
\(406\) | 5.23171 | + | 27.9638i | 0.259645 | + | 1.38782i | ||||
\(407\) | 3.77747 | + | 2.69589i | 0.187242 | + | 0.133630i | ||||
\(408\) | 1.27816 | + | 2.21384i | 0.0632784 | + | 0.109601i | ||||
\(409\) | −0.0146326 | + | 0.0253445i | −0.000723538 | + | 0.00125320i | −0.866387 | − | 0.499373i | \(-0.833564\pi\) |
0.865663 | + | 0.500626i | \(0.166897\pi\) | |||||||
\(410\) | −26.0803 | + | 45.1724i | −1.28801 | + | 2.23091i | ||||
\(411\) | −1.57963 | + | 0.911998i | −0.0779172 | + | 0.0449855i | ||||
\(412\) | − | 0.0578862i | − | 0.00285185i | ||||||
\(413\) | −1.21384 | − | 1.41636i | −0.0597290 | − | 0.0696947i | ||||
\(414\) | 7.92100i | 0.389296i | ||||||||
\(415\) | 36.4111 | − | 21.0219i | 1.78735 | − | 1.03193i | ||||
\(416\) | 15.5803 | + | 8.99530i | 0.763888 | + | 0.441031i | ||||
\(417\) | −3.83825 | − | 2.21601i | −0.187960 | − | 0.108519i | ||||
\(418\) | 38.7089 | + | 3.73713i | 1.89331 | + | 0.182789i | ||||
\(419\) | − | 28.1188i | − | 1.37369i | −0.726802 | − | 0.686847i | \(-0.758994\pi\) | ||
0.726802 | − | 0.686847i | \(-0.241006\pi\) | |||||||
\(420\) | 11.8052 | − | 10.1172i | 0.576036 | − | 0.493668i | ||||
\(421\) | −13.3200 | −0.649179 | −0.324589 | − | 0.945855i | \(-0.605226\pi\) | ||||
−0.324589 | + | 0.945855i | \(0.605226\pi\) | |||||||
\(422\) | −2.24219 | − | 3.88359i | −0.109148 | − | 0.189050i | ||||
\(423\) | 11.9196 | + | 6.88179i | 0.579551 | + | 0.334604i | ||||
\(424\) | −9.80490 | − | 5.66086i | −0.476168 | − | 0.274916i | ||||
\(425\) | −8.55156 | − | 14.8117i | −0.414812 | − | 0.718475i | ||||
\(426\) | −5.30048 | −0.256809 | ||||||||
\(427\) | 5.95420 | + | 31.8256i | 0.288144 | + | 1.54015i | ||||
\(428\) | 22.0349i | 1.06510i | ||||||||
\(429\) | 5.00704 | + | 0.483402i | 0.241742 | + | 0.0233389i | ||||
\(430\) | 30.2280 | + | 17.4521i | 1.45772 | + | 0.841616i | ||||
\(431\) | 13.6664 | + | 7.89029i | 0.658287 | + | 0.380062i | 0.791624 | − | 0.611009i | \(-0.209236\pi\) |
−0.133337 | + | 0.991071i | \(0.542569\pi\) | |||||||
\(432\) | −6.55563 | + | 3.78490i | −0.315408 | + | 0.182101i | ||||
\(433\) | 19.7441i | 0.948840i | 0.880298 | + | 0.474420i | \(0.157342\pi\) | ||||
−0.880298 | + | 0.474420i | \(0.842658\pi\) | |||||||
\(434\) | −15.9258 | − | 5.60933i | −0.764463 | − | 0.269257i | ||||
\(435\) | 10.7967i | 0.517661i | ||||||||
\(436\) | −28.4304 | + | 16.4143i | −1.36157 | + | 0.786103i | ||||
\(437\) | −3.81759 | + | 6.61226i | −0.182620 | + | 0.316308i | ||||
\(438\) | 0.859646 | − | 1.48895i | 0.0410755 | − | 0.0711448i | ||||
\(439\) | −5.52400 | − | 9.56785i | −0.263646 | − | 0.456649i | 0.703562 | − | 0.710634i | \(-0.251592\pi\) |
−0.967208 | + | 0.253985i | \(0.918258\pi\) | |||||||
\(440\) | −13.8915 | − | 9.91405i | −0.662253 | − | 0.472634i | ||||
\(441\) | 2.77383 | − | 17.9050i | 0.132087 | − | 0.852617i | ||||
\(442\) | − | 13.4627i | − | 0.640358i | ||||||
\(443\) | 2.79487 | + | 4.84086i | 0.132788 | + | 0.229996i | 0.924750 | − | 0.380574i | \(-0.124274\pi\) |
−0.791962 | + | 0.610570i | \(0.790940\pi\) | |||||||
\(444\) | 2.09888 | + | 1.21179i | 0.0996086 | + | 0.0575091i | ||||
\(445\) | 4.58217 | − | 7.93656i | 0.217216 | − | 0.376229i | ||||
\(446\) | −2.71298 | − | 4.69903i | −0.128464 | − | 0.222505i | ||||
\(447\) | −6.56587 | −0.310555 | ||||||||
\(448\) | 30.6336 | + | 10.7897i | 1.44730 | + | 0.509764i | ||||
\(449\) | −2.71339 | −0.128053 | −0.0640263 | − | 0.997948i | \(-0.520394\pi\) | ||||
−0.0640263 | + | 0.997948i | \(0.520394\pi\) | |||||||
\(450\) | −31.6376 | + | 18.2660i | −1.49141 | + | 0.861066i | ||||
\(451\) | −21.4059 | + | 9.74868i | −1.00796 | + | 0.459047i | ||||
\(452\) | −16.7200 | + | 28.9599i | −0.786442 | + | 1.36216i | ||||
\(453\) | −0.477939 | − | 0.827814i | −0.0224555 | − | 0.0388941i | ||||
\(454\) | − | 34.2706i | − | 1.60840i | ||||||
\(455\) | −20.8578 | + | 3.90225i | −0.977828 | + | 0.182940i | ||||
\(456\) | 5.26323 | 0.246473 | ||||||||
\(457\) | −5.06835 | + | 2.92621i | −0.237087 | + | 0.136882i | −0.613837 | − | 0.789433i | \(-0.710375\pi\) |
0.376750 | + | 0.926315i | \(0.377042\pi\) | |||||||
\(458\) | −19.5238 | + | 33.8162i | −0.912288 | + | 1.58013i | ||||
\(459\) | 8.15702 | + | 4.70946i | 0.380737 | + | 0.219819i | ||||
\(460\) | 11.1971 | − | 6.46464i | 0.522067 | − | 0.301415i | ||||
\(461\) | 38.7553 | 1.80502 | 0.902508 | − | 0.430673i | \(-0.141724\pi\) | ||||
0.902508 | + | 0.430673i | \(0.141724\pi\) | |||||||
\(462\) | 12.1569 | − | 1.08121i | 0.565590 | − | 0.0503023i | ||||
\(463\) | −18.2756 | −0.849340 | −0.424670 | − | 0.905348i | \(-0.639610\pi\) | ||||
−0.424670 | + | 0.905348i | \(0.639610\pi\) | |||||||
\(464\) | −9.06900 | + | 5.23599i | −0.421018 | + | 0.243075i | ||||
\(465\) | −5.54944 | − | 3.20397i | −0.257349 | − | 0.148581i | ||||
\(466\) | −5.56251 | + | 9.63455i | −0.257678 | + | 0.446312i | ||||
\(467\) | −21.9691 | + | 12.6838i | −1.01661 | + | 0.586938i | −0.913119 | − | 0.407693i | \(-0.866333\pi\) |
−0.103487 | + | 0.994631i | \(0.533000\pi\) | |||||||
\(468\) | −16.5185 | −0.763570 | ||||||||
\(469\) | −32.0932 | + | 27.5042i | −1.48193 | + | 1.27003i | ||||
\(470\) | − | 39.1098i | − | 1.80400i | ||||||
\(471\) | −5.32072 | − | 9.21576i | −0.245166 | − | 0.424640i | ||||
\(472\) | −0.534660 | + | 0.926058i | −0.0246097 | + | 0.0426253i | ||||
\(473\) | 6.52350 | + | 14.3241i | 0.299951 | + | 0.658624i | ||||
\(474\) | −2.90180 | + | 1.67536i | −0.133284 | + | 0.0769517i | ||||
\(475\) | −35.2138 | −1.61572 | ||||||||
\(476\) | −3.45056 | − | 18.4434i | −0.158156 | − | 0.845354i | ||||
\(477\) | −19.3214 | −0.884667 | ||||||||
\(478\) | 3.13416 | + | 5.42853i | 0.143353 | + | 0.248295i | ||||
\(479\) | 4.29553 | − | 7.44008i | 0.196268 | − | 0.339946i | −0.751048 | − | 0.660248i | \(-0.770451\pi\) |
0.947315 | + | 0.320302i | \(0.103784\pi\) | |||||||
\(480\) | 14.3462 | + | 8.28280i | 0.654813 | + | 0.378057i | ||||
\(481\) | −1.65390 | − | 2.86464i | −0.0754114 | − | 0.130616i | ||||
\(482\) | 51.5197i | 2.34666i | ||||||||
\(483\) | −0.796057 | + | 2.26013i | −0.0362219 | + | 0.102840i | ||||
\(484\) | −9.65383 | − | 28.0829i | −0.438810 | − | 1.27650i | ||||
\(485\) | 3.26509 | + | 5.65531i | 0.148260 | + | 0.256794i | ||||
\(486\) | 15.4595 | − | 26.7766i | 0.701255 | − | 1.21461i | ||||
\(487\) | 1.02221 | − | 1.77052i | 0.0463208 | − | 0.0802300i | −0.841935 | − | 0.539578i | \(-0.818584\pi\) |
0.888256 | + | 0.459348i | \(0.151917\pi\) | |||||||
\(488\) | 16.0741 | − | 9.28040i | 0.727641 | − | 0.420104i | ||||
\(489\) | 5.63153i | 0.254666i | ||||||||
\(490\) | −48.0023 | + | 18.6129i | −2.16852 | + | 0.840844i | ||||
\(491\) | − | 20.9738i | − | 0.946534i | −0.880919 | − | 0.473267i | \(-0.843075\pi\) | ||
0.880919 | − | 0.473267i | \(-0.156925\pi\) | |||||||
\(492\) | −10.6379 | + | 6.14178i | −0.479592 | + | 0.276893i | ||||
\(493\) | 11.2844 | + | 6.51502i | 0.508222 | + | 0.293422i | ||||
\(494\) | −24.0050 | − | 13.8593i | −1.08004 | − | 0.623559i | ||||
\(495\) | −28.9904 | − | 2.79887i | −1.30302 | − | 0.125800i | ||||
\(496\) | − | 6.21523i | − | 0.279072i | ||||||
\(497\) | 9.51002 | + | 3.34959i | 0.426583 | + | 0.150250i | ||||
\(498\) | 17.2363 | 0.772376 | ||||||||
\(499\) | 11.3800 | + | 19.7107i | 0.509439 | + | 0.882374i | 0.999940 | + | 0.0109334i | \(0.00348026\pi\) |
−0.490502 | + | 0.871440i | \(0.663186\pi\) | |||||||
\(500\) | 11.9814 | + | 6.91748i | 0.535826 | + | 0.309359i | ||||
\(501\) | 7.69276 | + | 4.44142i | 0.343687 | + | 0.198428i | ||||
\(502\) | 9.67339 | + | 16.7548i | 0.431744 | + | 0.747803i | ||||
\(503\) | 19.2710 | 0.859253 | 0.429626 | − | 0.903007i | \(-0.358645\pi\) | ||||
0.429626 | + | 0.903007i | \(0.358645\pi\) | |||||||
\(504\) | −10.2095 | + | 1.91007i | −0.454765 | + | 0.0850814i | ||||
\(505\) | 60.8608i | 2.70827i | ||||||||
\(506\) | 10.1027 | + | 0.975357i | 0.449118 | + | 0.0433599i | ||||
\(507\) | 4.11814 | + | 2.37761i | 0.182893 | + | 0.105593i | ||||
\(508\) | −33.2855 | − | 19.2174i | −1.47680 | − | 0.852633i | ||||
\(509\) | 30.1916 | − | 17.4311i | 1.33822 | − | 0.772621i | 0.351675 | − | 0.936122i | \(-0.385612\pi\) |
0.986543 | + | 0.163501i | \(0.0522788\pi\) | |||||||
\(510\) | − | 12.3964i | − | 0.548922i | ||||||
\(511\) | −2.48329 | + | 2.12820i | −0.109854 | + | 0.0941461i | ||||
\(512\) | 22.4717i | 0.993119i | ||||||||
\(513\) | 16.7946 | − | 9.69635i | 0.741498 | − | 0.428104i | ||||
\(514\) | 25.1475 | − | 43.5567i | 1.10921 | − | 1.92120i | ||||
\(515\) | −0.0363738 | + | 0.0630013i | −0.00160282 | + | 0.00277617i | ||||
\(516\) | 4.10988 | + | 7.11853i | 0.180928 | + | 0.313376i | ||||
\(517\) | 10.2450 | − | 14.3552i | 0.450573 | − | 0.631342i | ||||
\(518\) | −5.22253 | − | 6.09390i | −0.229465 | − | 0.267751i | ||||
\(519\) | − | 4.17503i | − | 0.183264i | ||||||
\(520\) | 6.08217 | + | 10.5346i | 0.266721 | + | 0.461974i | ||||
\(521\) | 4.87017 | + | 2.81179i | 0.213366 | + | 0.123187i | 0.602875 | − | 0.797836i | \(-0.294022\pi\) |
−0.389509 | + | 0.921023i | \(0.627355\pi\) | |||||||
\(522\) | 13.9160 | − | 24.1032i | 0.609085 | − | 1.05497i | ||||
\(523\) | −21.7244 | − | 37.6278i | −0.949943 | − | 1.64535i | −0.745539 | − | 0.666462i | \(-0.767808\pi\) |
−0.204404 | − | 0.978887i | \(-0.565526\pi\) | |||||||
\(524\) | 15.0984 | 0.659577 | ||||||||
\(525\) | −10.8630 | + | 2.03235i | −0.474101 | + | 0.0886989i | ||||
\(526\) | 7.40654 | 0.322940 | ||||||||
\(527\) | −6.69738 | + | 3.86673i | −0.291742 | + | 0.168438i | ||||
\(528\) | 1.86201 | + | 4.08854i | 0.0810334 | + | 0.177931i | ||||
\(529\) | 10.5036 | − | 18.1928i | 0.456680 | − | 0.790993i | ||||
\(530\) | 27.4513 | + | 47.5470i | 1.19241 | + | 2.06531i | ||||
\(531\) | 1.82488i | 0.0791930i | ||||||||
\(532\) | −36.4381 | − | 12.8341i | −1.57979 | − | 0.556429i | ||||
\(533\) | 16.7651 | 0.726177 | ||||||||
\(534\) | 3.25367 | − | 1.87851i | 0.140800 | − | 0.0812909i | ||||
\(535\) | 13.8460 | − | 23.9820i | 0.598615 | − | 1.03683i | ||||
\(536\) | 20.9835 | + | 12.1148i | 0.906347 | + | 0.523280i | ||||
\(537\) | −2.48074 | + | 1.43226i | −0.107052 | + | 0.0618064i | ||||
\(538\) | −10.5837 | −0.456297 | ||||||||
\(539\) | −22.4950 | − | 5.74256i | −0.968926 | − | 0.247350i | ||||
\(540\) | −32.8392 | −1.41317 | ||||||||
\(541\) | 3.33965 | − | 1.92815i | 0.143583 | − | 0.0828977i | −0.426488 | − | 0.904493i | \(-0.640249\pi\) |
0.570071 | + | 0.821596i | \(0.306916\pi\) | |||||||
\(542\) | 33.3880 | + | 19.2766i | 1.43414 | + | 0.827999i | ||||
\(543\) | 0.715650 | − | 1.23954i | 0.0307115 | − | 0.0531938i | ||||
\(544\) | 17.3138 | − | 9.99615i | 0.742325 | − | 0.428582i | ||||
\(545\) | 41.2568 | 1.76725 | ||||||||
\(546\) | −8.20513 | − | 2.88999i | −0.351147 | − | 0.123680i | ||||
\(547\) | − | 11.0537i | − | 0.472621i | −0.971678 | − | 0.236311i | \(-0.924062\pi\) | ||
0.971678 | − | 0.236311i | \(-0.0759383\pi\) | |||||||
\(548\) | −3.83743 | − | 6.64663i | −0.163927 | − | 0.283930i | ||||
\(549\) | 15.8377 | − | 27.4318i | 0.675938 | − | 1.17076i | ||||
\(550\) | 19.4012 | + | 42.6007i | 0.827272 | + | 1.81650i | ||||
\(551\) | 23.2335 | − | 13.4138i | 0.989778 | − | 0.571449i | ||||
\(552\) | 1.37366 | 0.0584667 | ||||||||
\(553\) | 6.26509 | − | 1.17213i | 0.266419 | − | 0.0498439i | ||||
\(554\) | 43.2843 | 1.83897 | ||||||||
\(555\) | −1.52290 | − | 2.63774i | −0.0646435 | − | 0.111966i | ||||
\(556\) | 9.32438 | − | 16.1503i | 0.395442 | − | 0.684925i | ||||
\(557\) | −3.85710 | − | 2.22690i | −0.163430 | − | 0.0943566i | 0.416054 | − | 0.909340i | \(-0.363413\pi\) |
−0.579484 | + | 0.814983i | \(0.696746\pi\) | |||||||
\(558\) | 8.25927 | + | 14.3055i | 0.349643 | + | 0.605599i | ||||
\(559\) | − | 11.2187i | − | 0.474499i | ||||||
\(560\) | −12.3322 | − | 14.3899i | −0.521132 | − | 0.608082i | ||||
\(561\) | 3.24729 | − | 4.55009i | 0.137101 | − | 0.192105i | ||||
\(562\) | 5.92511 | + | 10.2626i | 0.249936 | + | 0.432901i | ||||
\(563\) | 11.9514 | − | 20.7004i | 0.503690 | − | 0.872417i | −0.496301 | − | 0.868151i | \(-0.665309\pi\) |
0.999991 | − | 0.00426647i | \(-0.00135806\pi\) | |||||||
\(564\) | 4.60507 | − | 7.97622i | 0.193909 | − | 0.335860i | ||||
\(565\) | 36.3948 | − | 21.0126i | 1.53114 | − | 0.884006i | ||||
\(566\) | 31.7177i | 1.33320i | ||||||||
\(567\) | −10.9783 | + | 9.40849i | −0.461044 | + | 0.395119i | ||||
\(568\) | − | 5.77997i | − | 0.242522i | ||||||
\(569\) | −27.5303 | + | 15.8946i | −1.15413 | + | 0.666337i | −0.949890 | − | 0.312584i | \(-0.898806\pi\) |
−0.204240 | + | 0.978921i | \(0.565472\pi\) | |||||||
\(570\) | −22.1036 | − | 12.7615i | −0.925819 | − | 0.534522i | ||||
\(571\) | −29.3889 | − | 16.9677i | −1.22989 | − | 0.710075i | −0.262880 | − | 0.964829i | \(-0.584672\pi\) |
−0.967006 | + | 0.254753i | \(0.918006\pi\) | |||||||
\(572\) | −2.03402 | + | 21.0682i | −0.0850467 | + | 0.880907i | ||||
\(573\) | − | 8.81008i | − | 0.368047i | ||||||
\(574\) | 39.9828 | − | 7.48034i | 1.66885 | − | 0.312223i | ||||
\(575\) | −9.19049 | −0.383270 | ||||||||
\(576\) | −15.8869 | − | 27.5169i | −0.661953 | − | 1.14654i | ||||
\(577\) | −36.7767 | − | 21.2330i | −1.53103 | − | 0.883943i | −0.999314 | − | 0.0370228i | \(-0.988213\pi\) |
−0.531720 | − | 0.846920i | \(-0.678454\pi\) | |||||||
\(578\) | 18.9599 | + | 10.9465i | 0.788627 | + | 0.455314i | ||||
\(579\) | −3.98698 | − | 6.90565i | −0.165693 | − | 0.286989i | ||||
\(580\) | −45.4295 | −1.88636 | ||||||||
\(581\) | −30.9250 | − | 10.8923i | −1.28299 | − | 0.451889i | ||||
\(582\) | 2.67711i | 0.110970i | ||||||||
\(583\) | −2.37916 | + | 24.6431i | −0.0985346 | + | 1.02061i | ||||
\(584\) | 1.62364 | + | 0.937411i | 0.0671869 | + | 0.0387904i | ||||
\(585\) | 17.9782 | + | 10.3797i | 0.743306 | + | 0.429148i | ||||
\(586\) | −35.9443 | + | 20.7524i | −1.48484 | + | 0.857276i | ||||
\(587\) | − | 14.7612i | − | 0.609260i | −0.952471 | − | 0.304630i | \(-0.901467\pi\) | ||
0.952471 | − | 0.304630i | \(-0.0985329\pi\) | |||||||
\(588\) | −11.9814 | − | 1.85616i | −0.494106 | − | 0.0765467i | ||||
\(589\) | 15.9225i | 0.656075i | ||||||||
\(590\) | 4.49075 | − | 2.59273i | 0.184881 | − | 0.106741i | ||||
\(591\) | −7.94211 | + | 13.7561i | −0.326695 | + | 0.565852i | ||||
\(592\) | 1.47710 | − | 2.55841i | 0.0607084 | − | 0.105150i | ||||
\(593\) | 13.7222 | + | 23.7675i | 0.563501 | + | 0.976013i | 0.997187 | + | 0.0749489i | \(0.0238794\pi\) |
−0.433686 | + | 0.901064i | \(0.642787\pi\) | |||||||
\(594\) | −20.9835 | − | 14.9754i | −0.860962 | − | 0.614447i | ||||
\(595\) | −7.83379 | + | 22.2414i | −0.321154 | + | 0.911808i | ||||
\(596\) | − | 27.6274i | − | 1.13166i | ||||||
\(597\) | 5.37567 | + | 9.31093i | 0.220011 | + | 0.381071i | ||||
\(598\) | −6.26509 | − | 3.61715i | −0.256199 | − | 0.147916i | ||||
\(599\) | −16.6316 | + | 28.8068i | −0.679549 | + | 1.17701i | 0.295567 | + | 0.955322i | \(0.404491\pi\) |
−0.975117 | + | 0.221692i | \(0.928842\pi\) | |||||||
\(600\) | 3.16768 | + | 5.48658i | 0.129320 | + | 0.223989i | ||||
\(601\) | −9.35087 | −0.381430 | −0.190715 | − | 0.981645i | \(-0.561081\pi\) | ||||
−0.190715 | + | 0.981645i | \(0.561081\pi\) | |||||||
\(602\) | −5.00560 | − | 26.7553i | −0.204013 | − | 1.09046i | ||||
\(603\) | 41.3497 | 1.68389 | ||||||||
\(604\) | 3.48321 | − | 2.01103i | 0.141730 | − | 0.0818278i | ||||
\(605\) | −7.13951 | + | 36.6306i | −0.290262 | + | 1.48925i | ||||
\(606\) | −12.4752 | + | 21.6078i | −0.506772 | + | 0.877755i | ||||
\(607\) | −1.18199 | − | 2.04726i | −0.0479753 | − | 0.0830957i | 0.841041 | − | 0.540972i | \(-0.181944\pi\) |
−0.889016 | + | 0.457876i | \(0.848610\pi\) | |||||||
\(608\) | − | 41.1623i | − | 1.66935i | ||||||
\(609\) | 6.39307 | − | 5.47892i | 0.259060 | − | 0.222017i | ||||
\(610\) | −90.0071 | −3.64428 | ||||||||
\(611\) | −10.8863 | + | 6.28519i | −0.440411 | + | 0.254272i | ||||
\(612\) | −9.17823 | + | 15.8972i | −0.371008 | + | 0.642605i | ||||
\(613\) | −17.5674 | − | 10.1425i | −0.709540 | − | 0.409653i | 0.101351 | − | 0.994851i | \(-0.467684\pi\) |
−0.810891 | + | 0.585198i | \(0.801017\pi\) | |||||||
\(614\) | −13.0240 | + | 7.51941i | −0.525606 | + | 0.303459i | ||||
\(615\) | 15.4372 | 0.622487 | ||||||||
\(616\) | 1.17901 | + | 13.2566i | 0.0475039 | + | 0.534125i | ||||
\(617\) | 14.2894 | 0.575268 | 0.287634 | − | 0.957740i | \(-0.407131\pi\) | ||||
0.287634 | + | 0.957740i | \(0.407131\pi\) | |||||||
\(618\) | −0.0258280 | + | 0.0149118i | −0.00103895 | + | 0.000599840i | ||||
\(619\) | −36.2967 | − | 20.9559i | −1.45889 | − | 0.842288i | −0.459929 | − | 0.887956i | \(-0.652125\pi\) |
−0.998957 | + | 0.0456677i | \(0.985458\pi\) | |||||||
\(620\) | 13.4814 | − | 23.3505i | 0.541427 | − | 0.937780i | ||||
\(621\) | 4.38323 | − | 2.53066i | 0.175893 | − | 0.101552i | ||||
\(622\) | 57.6671 | 2.31224 | ||||||||
\(623\) | −7.02478 | + | 1.31426i | −0.281442 | + | 0.0526545i | ||||
\(624\) | − | 3.20215i | − | 0.128189i | ||||||
\(625\) | 7.58286 | + | 13.1339i | 0.303315 | + | 0.525356i | ||||
\(626\) | 25.4646 | − | 44.1060i | 1.01777 | − | 1.76283i | ||||
\(627\) | −4.77019 | − | 10.4742i | −0.190503 | − | 0.418301i | ||||
\(628\) | 38.7774 | − | 22.3881i | 1.54739 | − | 0.893384i | ||||
\(629\) | −3.67584 | −0.146565 | ||||||||
\(630\) | 47.5072 | + | 16.7328i | 1.89273 | + | 0.666652i | ||||
\(631\) | 34.1679 | 1.36020 | 0.680102 | − | 0.733118i | \(-0.261936\pi\) | ||||
0.680102 | + | 0.733118i | \(0.261936\pi\) | |||||||
\(632\) | −1.82691 | − | 3.16431i | −0.0726707 | − | 0.125869i | ||||
\(633\) | −0.663587 | + | 1.14937i | −0.0263752 | + | 0.0456832i | ||||
\(634\) | 47.8011 | + | 27.5980i | 1.89842 | + | 1.09606i | ||||
\(635\) | 24.1511 | + | 41.8310i | 0.958409 | + | 1.66001i | ||||
\(636\) | 12.9293i | 0.512679i | ||||||||
\(637\) | 12.8952 | + | 10.3703i | 0.510927 | + | 0.410887i | ||||
\(638\) | −29.0283 | − | 20.7168i | −1.14924 | − | 0.820186i | ||||
\(639\) | −4.93199 | − | 8.54245i | −0.195106 | − | 0.337934i | ||||
\(640\) | −19.3235 | + | 33.4693i | −0.763830 | + | 1.32299i | ||||
\(641\) | 8.28249 | − | 14.3457i | 0.327139 | − | 0.566621i | −0.654804 | − | 0.755799i | \(-0.727249\pi\) |
0.981943 | + | 0.189178i | \(0.0605822\pi\) | |||||||
\(642\) | 9.83165 | − | 5.67631i | 0.388024 | − | 0.224026i | ||||
\(643\) | 18.2753i | 0.720706i | 0.932816 | + | 0.360353i | \(0.117344\pi\) | ||||
−0.932816 | + | 0.360353i | \(0.882656\pi\) | |||||||
\(644\) | −9.51002 | − | 3.34959i | −0.374747 | − | 0.131992i | ||||
\(645\) | − | 10.3301i | − | 0.406746i | ||||||
\(646\) | −26.6759 | + | 15.4013i | −1.04955 | + | 0.605957i | ||||
\(647\) | −28.1113 | − | 16.2300i | −1.10517 | − | 0.638069i | −0.167594 | − | 0.985856i | \(-0.553600\pi\) |
−0.937574 | + | 0.347787i | \(0.886933\pi\) | |||||||
\(648\) | 7.17790 | + | 4.14416i | 0.281975 | + | 0.162798i | ||||
\(649\) | 2.32750 | + | 0.224708i | 0.0913625 | + | 0.00882055i | ||||
\(650\) | − | 33.3649i | − | 1.30868i | ||||||
\(651\) | 0.918961 | + | 4.91190i | 0.0360169 | + | 0.192513i | ||||
\(652\) | −23.6959 | −0.928003 | ||||||||
\(653\) | −9.78544 | − | 16.9489i | −0.382934 | − | 0.663261i | 0.608546 | − | 0.793518i | \(-0.291753\pi\) |
−0.991480 | + | 0.130257i | \(0.958420\pi\) | |||||||
\(654\) | 14.6476 | + | 8.45682i | 0.572768 | + | 0.330688i | ||||
\(655\) | −16.4326 | − | 9.48734i | −0.642073 | − | 0.370701i | ||||
\(656\) | 7.48645 | + | 12.9669i | 0.292297 | + | 0.506273i | ||||
\(657\) | 3.19953 | 0.124826 | ||||||||
\(658\) | −23.1582 | + | 19.8468i | −0.902799 | + | 0.773707i | ||||
\(659\) | 6.07485i | 0.236643i | 0.992975 | + | 0.118321i | \(0.0377513\pi\) | ||||
−0.992975 | + | 0.118321i | \(0.962249\pi\) | |||||||
\(660\) | −1.87291 | + | 19.3995i | −0.0729030 | + | 0.755123i | ||||
\(661\) | 25.8763 | + | 14.9397i | 1.00647 | + | 0.581086i | 0.910156 | − | 0.414265i | \(-0.135961\pi\) |
0.0963143 | + | 0.995351i | \(0.469295\pi\) | |||||||
\(662\) | −22.4431 | − | 12.9575i | −0.872276 | − | 0.503609i | ||||
\(663\) | −3.45056 | + | 1.99218i | −0.134009 | + | 0.0773699i | ||||
\(664\) | 18.7955i | 0.729408i | ||||||||
\(665\) | 31.5934 | + | 36.8647i | 1.22514 | + | 1.42955i | ||||
\(666\) | 7.85153i | 0.304241i | ||||||||
\(667\) | 6.06373 | − | 3.50089i | 0.234788 | − | 0.135555i | ||||
\(668\) | −18.6883 | + | 32.3690i | −0.723070 | + | 1.25239i | ||||
\(669\) | −0.802920 | + | 1.39070i | −0.0310427 | + | 0.0537675i | ||||
\(670\) | −58.7485 | − | 101.755i | −2.26965 | − | 3.93115i | ||||
\(671\) | −33.0371 | − | 23.5777i | −1.27538 | − | 0.910208i | ||||
\(672\) | −2.37567 | − | 12.6981i | −0.0916434 | − | 0.489839i | ||||
\(673\) | − | 17.9702i | − | 0.692701i | −0.938105 | − | 0.346350i | \(-0.887421\pi\) | ||
0.938105 | − | 0.346350i | \(-0.112579\pi\) | |||||||
\(674\) | 8.74288 | + | 15.1431i | 0.336763 | + | 0.583291i | ||||
\(675\) | 20.2156 | + | 11.6715i | 0.778101 | + | 0.449237i | ||||
\(676\) | −10.0043 | + | 17.3280i | −0.384782 | + | 0.666462i | ||||
\(677\) | −22.7147 | − | 39.3431i | −0.872998 | − | 1.51208i | −0.858880 | − | 0.512177i | \(-0.828839\pi\) |
−0.0141183 | − | 0.999900i | \(-0.504494\pi\) | |||||||
\(678\) | 17.2286 | 0.661661 | ||||||||
\(679\) | 1.69178 | − | 4.80322i | 0.0649244 | − | 0.184331i | ||||
\(680\) | 13.5178 | 0.518384 | ||||||||
\(681\) | −8.78369 | + | 5.07127i | −0.336592 | + | 0.194331i | ||||
\(682\) | 19.2626 | − | 8.77260i | 0.737604 | − | 0.335920i | ||||
\(683\) | −18.9425 | + | 32.8094i | −0.724815 | + | 1.25542i | 0.234235 | + | 0.972180i | \(0.424741\pi\) |
−0.959050 | + | 0.283236i | \(0.908592\pi\) | |||||||
\(684\) | 18.8971 | + | 32.7308i | 0.722550 | + | 1.25149i | ||||
\(685\) | 9.64527i | 0.368527i | ||||||||
\(686\) | 35.3807 | + | 18.9784i | 1.35084 | + | 0.724598i | ||||
\(687\) | 11.5563 | 0.440901 | ||||||||
\(688\) | 8.67705 | − | 5.00970i | 0.330809 | − | 0.190993i | ||||
\(689\) | 8.82319 | − | 15.2822i | 0.336137 | − | 0.582206i | ||||
\(690\) | −5.76885 | − | 3.33065i | −0.219616 | − | 0.126796i | ||||
\(691\) | −17.7665 | + | 10.2575i | −0.675868 | + | 0.390213i | −0.798297 | − | 0.602265i | \(-0.794265\pi\) |
0.122428 | + | 0.992477i | \(0.460932\pi\) | |||||||
\(692\) | 17.5674 | 0.667812 | ||||||||
\(693\) | 13.0543 | + | 18.5865i | 0.495891 | + | 0.706042i | ||||
\(694\) | 4.17673 | 0.158546 | ||||||||
\(695\) | −20.2966 | + | 11.7183i | −0.769895 | + | 0.444499i | ||||
\(696\) | −4.17996 | − | 2.41330i | −0.158441 | − | 0.0914760i | ||||
\(697\) | 9.31522 | − | 16.1344i | 0.352839 | − | 0.611135i | ||||
\(698\) | −18.1916 | + | 10.5029i | −0.688561 | + | 0.397541i | ||||
\(699\) | 3.29250 | 0.124534 | ||||||||
\(700\) | −8.55156 | − | 45.7086i | −0.323219 | − | 1.72762i | ||||
\(701\) | 30.1196i | 1.13760i | 0.822476 | + | 0.568801i | \(0.192592\pi\) | ||||
−0.822476 | + | 0.568801i | \(0.807408\pi\) | |||||||
\(702\) | 9.18725 | + | 15.9128i | 0.346750 | + | 0.600589i | ||||
\(703\) | −3.78411 | + | 6.55428i | −0.142721 | + | 0.247199i | ||||
\(704\) | −37.0521 | + | 16.8743i | −1.39645 | + | 0.635973i | ||||
\(705\) | −10.0240 | + | 5.78736i | −0.377525 | + | 0.217964i | ||||
\(706\) | −45.2455 | −1.70284 | ||||||||
\(707\) | 36.0377 | − | 30.8846i | 1.35534 | − | 1.16154i | ||||
\(708\) | 1.22115 | 0.0458937 | ||||||||
\(709\) | 0.418515 | + | 0.724889i | 0.0157176 | + | 0.0272238i | 0.873777 | − | 0.486326i | \(-0.161663\pi\) |
−0.858060 | + | 0.513550i | \(0.828330\pi\) | |||||||
\(710\) | −14.0144 | + | 24.2737i | −0.525953 | + | 0.910977i | ||||
\(711\) | −5.40014 | − | 3.11777i | −0.202521 | − | 0.116926i | ||||
\(712\) | 2.04844 | + | 3.54800i | 0.0767685 | + | 0.132967i | ||||
\(713\) | 4.15563i | 0.155630i | ||||||||
\(714\) | −7.34031 | + | 6.29071i | −0.274704 | + | 0.235424i | ||||
\(715\) | 15.4523 | − | 21.6518i | 0.577885 | − | 0.809731i | ||||
\(716\) | −6.02654 | − | 10.4383i | −0.225222 | − | 0.390097i | ||||
\(717\) | 0.927570 | − | 1.60660i | 0.0346407 | − | 0.0599995i | ||||
\(718\) | 24.9010 | − | 43.1299i | 0.929299 | − | 1.60959i | ||||
\(719\) | −15.8022 | + | 9.12338i | −0.589321 | + | 0.340245i | −0.764829 | − | 0.644233i | \(-0.777177\pi\) |
0.175508 | + | 0.984478i | \(0.443843\pi\) | |||||||
\(720\) | 18.5402i | 0.690954i | ||||||||
\(721\) | 0.0557634 | − | 0.0104327i | 0.00207674 | − | 0.000388534i | ||||
\(722\) | 22.2305i | 0.827334i | ||||||||
\(723\) | 13.2047 | − | 7.62374i | 0.491089 | − | 0.283530i | ||||
\(724\) | 5.21565 | + | 3.01126i | 0.193838 | + | 0.111912i | ||||
\(725\) | 27.9661 | + | 16.1463i | 1.03864 | + | 0.599657i | ||||
\(726\) | −10.0433 | + | 11.5417i | −0.372742 | + | 0.428353i | ||||
\(727\) | 34.6901i | 1.28658i | 0.765621 | + | 0.643292i | \(0.222432\pi\) | ||||
−0.765621 | + | 0.643292i | \(0.777568\pi\) | |||||||
\(728\) | 3.15142 | − | 8.94739i | 0.116799 | − | 0.331612i | ||||
\(729\) | 7.24357 | 0.268280 | ||||||||
\(730\) | −4.54580 | − | 7.87356i | −0.168248 | − | 0.291413i | ||||
\(731\) | −10.7967 | − | 6.23345i | −0.399329 | − | 0.230553i | ||||
\(732\) | −18.3565 | − | 10.5981i | −0.678474 | − | 0.391717i | ||||
\(733\) | −0.740964 | − | 1.28339i | −0.0273681 | − | 0.0474030i | 0.852017 | − | 0.523514i | \(-0.175379\pi\) |
−0.879385 | + | 0.476111i | \(0.842046\pi\) | |||||||
\(734\) | −35.0005 | −1.29189 | ||||||||
\(735\) | 11.8738 | + | 9.54891i | 0.437972 | + | 0.352217i | ||||
\(736\) | − | 10.7430i | − | 0.395993i | ||||||
\(737\) | 5.09163 | − | 52.7387i | 0.187553 | − | 1.94265i | ||||
\(738\) | −34.4629 | − | 19.8971i | −1.26860 | − | 0.732424i | ||||
\(739\) | 34.3067 | + | 19.8070i | 1.26199 | + | 0.728611i | 0.973460 | − | 0.228859i | \(-0.0734995\pi\) |
0.288532 | + | 0.957470i | \(0.406833\pi\) | |||||||
\(740\) | 11.0989 | − | 6.40794i | 0.408003 | − | 0.235561i | ||||
\(741\) | 8.20344i | 0.301361i | ||||||||
\(742\) | 14.2236 | − | 40.3832i | 0.522166 | − | 1.48251i | ||||
\(743\) | 38.0060i | 1.39431i | 0.716923 | + | 0.697153i | \(0.245550\pi\) | ||||
−0.716923 | + | 0.697153i | \(0.754450\pi\) | |||||||
\(744\) | 2.48085 | − | 1.43232i | 0.0909525 | − | 0.0525114i | ||||
\(745\) | −17.3601 | + | 30.0686i | −0.636026 | + | 1.10163i | ||||
\(746\) | 25.0927 | − | 43.4618i | 0.918709 | − | 1.59125i | ||||
\(747\) | 16.0380 | + | 27.7787i | 0.586800 | + | 1.01637i | ||||
\(748\) | 19.1455 | + | 13.6637i | 0.700030 | + | 0.499594i | ||||
\(749\) | −21.2269 | + | 3.97130i | −0.775613 | + | 0.145108i | ||||
\(750\) | − | 7.12792i | − | 0.260275i | ||||||
\(751\) | 6.68361 | + | 11.5763i | 0.243888 | + | 0.422427i | 0.961818 | − | 0.273688i | \(-0.0882436\pi\) |
−0.717930 | + | 0.696115i | \(0.754910\pi\) | |||||||
\(752\) | −9.72253 | − | 5.61330i | −0.354544 | − | 0.204696i | ||||
\(753\) | 2.86288 | − | 4.95866i | 0.104329 | − | 0.180704i | ||||
\(754\) | 12.7096 | + | 22.0136i | 0.462855 | + | 0.801688i | ||||
\(755\) | −5.05467 | −0.183958 | ||||||||
\(756\) | 16.6647 | + | 19.4452i | 0.606089 | + | 0.707214i | ||||
\(757\) | −4.89740 | −0.177999 | −0.0889995 | − | 0.996032i | \(-0.528367\pi\) | ||||
−0.0889995 | + | 0.996032i | \(0.528367\pi\) | |||||||
\(758\) | 32.8488 | − | 18.9653i | 1.19312 | − | 0.688850i | ||||
\(759\) | −1.24498 | − | 2.73369i | −0.0451898 | − | 0.0992265i | ||||
\(760\) | 13.9160 | − | 24.1032i | 0.504785 | − | 0.874314i | ||||
\(761\) | 3.29757 | + | 5.71155i | 0.119537 | + | 0.207044i | 0.919584 | − | 0.392893i | \(-0.128526\pi\) |
−0.800047 | + | 0.599937i | \(0.795192\pi\) | |||||||
\(762\) | 19.8020i | 0.717350i | ||||||||
\(763\) | −20.9363 | − | 24.4295i | −0.757946 | − | 0.884408i | ||||
\(764\) | 37.0704 | 1.34116 | ||||||||
\(765\) | 19.9785 | − | 11.5346i | 0.722325 | − | 0.417034i | ||||
\(766\) | 10.5226 | − | 18.2257i | 0.380198 | − | 0.658522i | ||||
\(767\) | −1.44338 | − | 0.833338i | −0.0521176 | − | 0.0300901i | ||||
\(768\) | −0.0796262 | + | 0.0459722i | −0.00287326 | + | 0.00165888i | ||||
\(769\) | 8.07706 | 0.291266 | 0.145633 | − | 0.989339i | \(-0.453478\pi\) | ||||
0.145633 | + | 0.989339i | \(0.453478\pi\) | |||||||
\(770\) | 27.1914 | − | 58.5317i | 0.979909 | − | 2.10934i | ||||
\(771\) | −14.8850 | −0.536071 | ||||||||
\(772\) | 29.0571 | − | 16.7761i | 1.04579 | − | 0.603786i | ||||
\(773\) | −19.3206 | − | 11.1548i | −0.694915 | − | 0.401210i | 0.110535 | − | 0.993872i | \(-0.464743\pi\) |
−0.805451 | + | 0.592663i | \(0.798077\pi\) | |||||||
\(774\) | −13.3145 | + | 23.0614i | −0.478581 | + | 0.828927i | ||||
\(775\) | −16.5982 | + | 9.58297i | −0.596225 | + | 0.344231i | ||||
\(776\) | −2.91929 | −0.104796 | ||||||||
\(777\) | −0.789076 | + | 2.24031i | −0.0283079 | + | 0.0803708i | ||||
\(778\) | 33.9273i | 1.21635i | ||||||||
\(779\) | −19.1792 | − | 33.2193i | −0.687166 | − | 1.19021i | ||||
\(780\) | 6.94577 | − | 12.0304i | 0.248698 | − | 0.430758i | ||||
\(781\) | −11.5026 | + | 5.23852i | −0.411595 | + | 0.187449i | ||||
\(782\) | −6.96217 | + | 4.01961i | −0.248967 | + | 0.143741i | ||||
\(783\) | −17.7839 | −0.635546 | ||||||||
\(784\) | −2.26254 | + | 14.6046i | −0.0808051 | + | 0.521594i | ||||
\(785\) | −56.2719 | −2.00843 | ||||||||
\(786\) | −3.88942 | − | 6.73668i | −0.138731 | − | 0.240289i | ||||
\(787\) | −9.06298 | + | 15.6975i | −0.323060 | + | 0.559557i | −0.981118 | − | 0.193411i | \(-0.938045\pi\) |
0.658058 | + | 0.752968i | \(0.271378\pi\) | |||||||
\(788\) | −57.8820 | − | 33.4182i | −2.06196 | − | 1.19047i | ||||
\(789\) | −1.09600 | − | 1.89833i | −0.0390186 | − | 0.0675822i | ||||
\(790\) | 17.7186i | 0.630398i | ||||||||
\(791\) | −30.9113 | − | 10.8875i | −1.09908 | − | 0.387114i | ||||
\(792\) | 7.56360 | − | 10.5981i | 0.268761 | − | 0.376587i | ||||
\(793\) | 14.4647 | + | 25.0536i | 0.513657 | + | 0.889680i | ||||
\(794\) | −28.7390 | + | 49.7773i | −1.01991 | + | 1.76653i | ||||
\(795\) | 8.12433 | − | 14.0718i | 0.288140 | − | 0.499074i | ||||
\(796\) | −39.1778 | + | 22.6193i | −1.38862 | + | 0.801721i | ||||
\(797\) | − | 3.97086i | − | 0.140655i | −0.997524 | − | 0.0703276i | \(-0.977596\pi\) | ||
0.997524 | − | 0.0703276i | \(-0.0224045\pi\) | |||||||
\(798\) | 3.66025 | + | 19.5643i | 0.129572 | + | 0.692568i | ||||
\(799\) | 13.9690i | 0.494188i | ||||||||
\(800\) | 42.9091 | − | 24.7736i | 1.51707 | − | 0.875879i | ||||
\(801\) | 6.05494 | + | 3.49582i | 0.213941 | + | 0.123519i | ||||
\(802\) | −19.1086 | − | 11.0324i | −0.674749 | − | 0.389566i | ||||
\(803\) | 0.393977 | − | 4.08078i | 0.0139031 | − | 0.144007i | ||||
\(804\) | − | 27.6699i | − | 0.975843i | ||||||
\(805\) | 8.24559 | + | 9.62136i | 0.290619 | + | 0.339108i | ||||
\(806\) | −15.0865 | −0.531399 | ||||||||
\(807\) | 1.56615 | + | 2.71266i | 0.0551312 | + | 0.0954900i | ||||
\(808\) | −23.5624 | − | 13.6038i | −0.828924 | − | 0.478579i | ||||
\(809\) | −30.4772 | − | 17.5960i | −1.07152 | − | 0.618644i | −0.142925 | − | 0.989734i | \(-0.545651\pi\) |
−0.928597 | + | 0.371090i | \(0.878984\pi\) | |||||||
\(810\) | −20.0963 | − | 34.8079i | −0.706114 | − | 1.22302i | ||||
\(811\) | 44.7022 | 1.56971 | 0.784853 | − | 0.619682i | \(-0.212738\pi\) | ||||
0.784853 | + | 0.619682i | \(0.212738\pi\) | |||||||
\(812\) | 23.0538 | + | 26.9003i | 0.809029 | + | 0.944014i | ||||
\(813\) | − | 11.4100i | − | 0.400165i | ||||||
\(814\) | 10.0141 | + | 0.966804i | 0.350993 | + | 0.0338865i | ||||
\(815\) | 25.7898 | + | 14.8897i | 0.903376 | + | 0.521565i | ||||
\(816\) | −3.08169 | − | 1.77922i | −0.107881 | − | 0.0622851i | ||||
\(817\) | −22.2293 | + | 12.8341i | −0.777706 | + | 0.449009i | ||||
\(818\) | 0.0634431i | 0.00221824i | ||||||||
\(819\) | −2.97710 | − | 15.9128i | −0.104028 | − | 0.556038i | ||||
\(820\) | 64.9554i | 2.26834i | ||||||||
\(821\) | −16.2030 | + | 9.35481i | −0.565489 | + | 0.326485i | −0.755346 | − | 0.655327i | \(-0.772531\pi\) |
0.189857 | + | 0.981812i | \(0.439198\pi\) | |||||||
\(822\) | −1.97709 | + | 3.42441i | −0.0689588 | + | 0.119440i | ||||
\(823\) | −2.43818 | + | 4.22305i | −0.0849895 | + | 0.147206i | −0.905387 | − | 0.424588i | \(-0.860419\pi\) |
0.820397 | + | 0.571794i | \(0.193752\pi\) | |||||||
\(824\) | −0.0162607 | − | 0.0281644i | −0.000566470 | − | 0.000981154i | ||||
\(825\) | 8.04779 | − | 11.2766i | 0.280188 | − | 0.392599i | ||||
\(826\) | −3.81413 | − | 1.34340i | −0.132711 | − | 0.0467429i | ||||
\(827\) | − | 37.2794i | − | 1.29633i | −0.761499 | − | 0.648166i | \(-0.775536\pi\) | ||
0.761499 | − | 0.648166i | \(-0.224464\pi\) | |||||||
\(828\) | 4.93199 | + | 8.54245i | 0.171398 | + | 0.296871i | ||||
\(829\) | 40.6985 | + | 23.4973i | 1.41352 | + | 0.816094i | 0.995718 | − | 0.0924461i | \(-0.0294686\pi\) |
0.417798 | + | 0.908540i | \(0.362802\pi\) | |||||||
\(830\) | 45.5727 | − | 78.9342i | 1.58185 | − | 2.73985i | ||||
\(831\) | −6.40509 | − | 11.0939i | −0.222190 | − | 0.384844i | ||||
\(832\) | 29.0192 | 1.00606 | ||||||||
\(833\) | 17.1452 | − | 6.64804i | 0.594046 | − | 0.230341i | ||||
\(834\) | −9.60803 | −0.332699 | ||||||||
\(835\) | 40.6792 | − | 23.4862i | 1.40776 | − | 0.812773i | ||||
\(836\) | 44.0727 | − | 20.0716i | 1.52429 | − | 0.694192i | ||||
\(837\) | 5.27747 | − | 9.14085i | 0.182416 | − | 0.315954i | ||||
\(838\) | −30.4788 | − | 52.7909i | −1.05287 | − | 1.82363i | ||||
\(839\) | 43.8626i | 1.51431i | 0.653237 | + | 0.757153i | \(0.273410\pi\) | ||||
−0.653237 | + | 0.757153i | \(0.726590\pi\) | |||||||
\(840\) | 2.90180 | − | 8.23869i | 0.100122 | − | 0.284262i | ||||
\(841\) | 4.39788 | 0.151651 | ||||||||
\(842\) | −25.0074 | + | 14.4380i | −0.861810 | + | 0.497566i | ||||
\(843\) | 1.75356 | − | 3.03726i | 0.0603959 | − | 0.104609i | ||||
\(844\) | −4.83621 | − | 2.79219i | −0.166469 | − | 0.0961111i | ||||
\(845\) | 21.7767 | − | 12.5728i | 0.749141 | − | 0.432517i | ||||
\(846\) | 29.8375 | 1.02584 | ||||||||
\(847\) | 25.3132 | − | 14.3611i | 0.869772 | − | 0.493454i | ||||
\(848\) | 15.7600 | 0.541200 | ||||||||
\(849\) | 8.12939 | − | 4.69350i | 0.279000 | − | 0.161081i | ||||
\(850\) | −32.1098 | − | 18.5386i | −1.10136 | − | 0.635869i | ||||
\(851\) | −0.987620 | + | 1.71061i | −0.0338552 | + | 0.0586389i | ||||
\(852\) | −5.71634 | + | 3.30033i | −0.195839 | + | 0.113067i | ||||
\(853\) | 5.52907 | 0.189312 | 0.0946558 | − | 0.995510i | \(-0.469825\pi\) | ||||
0.0946558 | + | 0.995510i | \(0.469825\pi\) | |||||||
\(854\) | 45.6753 | + | 53.2961i | 1.56298 | + | 1.82376i | ||||
\(855\) | − | 47.4974i | − | 1.62438i | ||||||
\(856\) | 6.18980 | + | 10.7210i | 0.211563 | + | 0.366438i | ||||
\(857\) | −16.0148 | + | 27.7384i | −0.547054 | + | 0.947526i | 0.451420 | + | 0.892311i | \(0.350918\pi\) |
−0.998475 | + | 0.0552143i | \(0.982416\pi\) | |||||||
\(858\) | 9.92430 | − | 4.51973i | 0.338810 | − | 0.154301i | ||||
\(859\) | 24.7658 | − | 14.2985i | 0.844998 | − | 0.487860i | −0.0139623 | − | 0.999903i | \(-0.504444\pi\) |
0.858960 | + | 0.512043i | \(0.171111\pi\) | |||||||
\(860\) | 43.4661 | 1.48218 | ||||||||
\(861\) | −7.83379 | − | 9.14085i | −0.266975 | − | 0.311519i | ||||
\(862\) | 34.2101 | 1.16520 | ||||||||
\(863\) | 20.4770 | + | 35.4672i | 0.697046 | + | 1.20732i | 0.969486 | + | 0.245146i | \(0.0788360\pi\) |
−0.272440 | + | 0.962173i | \(0.587831\pi\) | |||||||
\(864\) | −13.6431 | + | 23.6306i | −0.464149 | + | 0.803930i | ||||
\(865\) | −19.1197 | − | 11.0388i | −0.650090 | − | 0.375329i | ||||
\(866\) | 21.4012 | + | 37.0680i | 0.727244 | + | 1.25962i | ||||
\(867\) | − | 6.47933i | − | 0.220050i | ||||||
\(868\) | −20.6679 | + | 3.86673i | −0.701515 | + | 0.131245i | ||||
\(869\) | −4.64145 | + | 6.50359i | −0.157450 | + | 0.220619i | ||||
\(870\) | 11.7029 | + | 20.2700i | 0.396764 | + | 0.687216i | ||||
\(871\) | −18.8825 | + | 32.7055i | −0.639809 | + | 1.10818i | ||||
\(872\) | −9.22184 | + | 15.9727i | −0.312291 | + | 0.540904i | ||||
\(873\) | −4.31453 | + | 2.49100i | −0.146025 | + | 0.0843075i | ||||
\(874\) | 16.5520i | 0.559881i | ||||||||
\(875\) | −4.50442 | + | 12.7888i | −0.152277 | + | 0.432340i | ||||
\(876\) | − | 2.14103i | − | 0.0723385i | ||||||
\(877\) | −19.7464 | + | 11.4006i | −0.666788 | + | 0.384970i | −0.794858 | − | 0.606795i | \(-0.792455\pi\) |
0.128071 | + | 0.991765i | \(0.459122\pi\) | |||||||
\(878\) | −20.7418 | − | 11.9753i | −0.700001 | − | 0.404146i | ||||
\(879\) | 10.6379 | + | 6.14178i | 0.358807 | + | 0.207157i | ||||
\(880\) | 23.6468 | + | 2.28297i | 0.797132 | + | 0.0769588i | ||||
\(881\) | − | 12.0744i | − | 0.406797i | −0.979096 | − | 0.203399i | \(-0.934801\pi\) | ||
0.979096 | − | 0.203399i | \(-0.0651987\pi\) | |||||||
\(882\) | −14.2001 | − | 36.6218i | −0.478142 | − | 1.23312i | ||||
\(883\) | −40.9977 | −1.37968 | −0.689841 | − | 0.723961i | \(-0.742319\pi\) | ||||
−0.689841 | + | 0.723961i | \(0.742319\pi\) | |||||||
\(884\) | −8.38255 | − | 14.5190i | −0.281936 | − | 0.488327i | ||||
\(885\) | −1.32906 | − | 0.767331i | −0.0446758 | − | 0.0257936i | ||||
\(886\) | 10.4943 | + | 6.05890i | 0.352563 | + | 0.203553i | ||||
\(887\) | −11.5757 | − | 20.0497i | −0.388673 | − | 0.673202i | 0.603598 | − | 0.797289i | \(-0.293733\pi\) |
−0.992271 | + | 0.124087i | \(0.960400\pi\) | |||||||
\(888\) | 1.36161 | 0.0456927 | ||||||||
\(889\) | 12.5137 | − | 35.5284i | 0.419695 | − | 1.19158i | ||||
\(890\) | − | 19.8670i | − | 0.665945i | ||||||
\(891\) | 1.74172 | − | 18.0405i | 0.0583497 | − | 0.604381i | ||||
\(892\) | −5.85167 | − | 3.37847i | −0.195929 | − | 0.113119i | ||||
\(893\) | 24.9077 | + | 14.3805i | 0.833504 | + | 0.481224i | ||||
\(894\) | −12.3269 | + | 7.11695i | −0.412274 | + | 0.238026i | ||||
\(895\) | 15.1475i | 0.506326i | ||||||||
\(896\) | 29.6243 | − | 5.54236i | 0.989677 | − | 0.185157i | ||||
\(897\) | 2.14103i | 0.0714867i | ||||||||
\(898\) | −5.09417 | + | 2.94112i | −0.169995 | + | 0.0981466i | ||||
\(899\) | 7.30081 | − | 12.6454i | 0.243496 | − | 0.421747i | ||||
\(900\) | −22.7465 | + | 39.3981i | −0.758217 | + | 1.31327i | ||||
\(901\) | −9.80490 | − | 16.9826i | −0.326649 | − | 0.565772i | ||||
\(902\) | −29.6210 | + | 41.5049i | −0.986272 | + | 1.38196i | ||||
\(903\) | −6.11677 | + | 5.24212i | −0.203553 | + | 0.174447i | ||||
\(904\) | 18.7871i | 0.624851i | ||||||||
\(905\) | −3.78435 | − | 6.55469i | −0.125796 | − | 0.217885i | ||||
\(906\) | −1.79459 | − | 1.03611i | −0.0596212 | − | 0.0344223i | ||||
\(907\) | 6.88688 | − | 11.9284i | 0.228675 | − | 0.396077i | −0.728741 | − | 0.684790i | \(-0.759894\pi\) |
0.957416 | + | 0.288713i | \(0.0932274\pi\) | |||||||
\(908\) | −21.3385 | − | 36.9594i | −0.708143 | − | 1.22654i | ||||
\(909\) | −46.4318 | −1.54005 | ||||||||
\(910\) | −34.9291 | + | 29.9346i | −1.15789 | + | 0.992322i | ||||
\(911\) | −23.9157 | −0.792362 | −0.396181 | − | 0.918172i | \(-0.629665\pi\) | ||||
−0.396181 | + | 0.918172i | \(0.629665\pi\) | |||||||
\(912\) | −6.34493 | + | 3.66325i | −0.210102 | + | 0.121302i | ||||
\(913\) | 37.4046 | − | 17.0348i | 1.23791 | − | 0.563770i | ||||
\(914\) | −6.34362 | + | 10.9875i | −0.209828 | + | 0.363434i | ||||
\(915\) | 13.3190 | + | 23.0692i | 0.440313 | + | 0.762644i | ||||
\(916\) | 48.6258i | 1.60664i | ||||||||
\(917\) | 2.72115 | + | 14.5447i | 0.0898603 | + | 0.480309i | ||||
\(918\) | 20.4189 | 0.673925 | ||||||||
\(919\) | −18.5816 | + | 10.7281i | −0.612951 | + | 0.353887i | −0.774119 | − | 0.633040i | \(-0.781807\pi\) |
0.161169 | + | 0.986927i | \(0.448474\pi\) | |||||||
\(920\) | 3.63194 | − | 6.29071i | 0.119742 | − | 0.207399i | ||||
\(921\) | 3.85451 | + | 2.22540i | 0.127010 | + | 0.0733295i | ||||
\(922\) | 72.7602 | − | 42.0081i | 2.39623 | − | 1.38346i | ||||
\(923\) | 9.00884 | 0.296530 | ||||||||
\(924\) | 12.4375 | − | 8.73550i | 0.409163 | − | 0.287377i | ||||
\(925\) | −9.10989 | −0.299531 | ||||||||
\(926\) | −34.3111 | + | 19.8095i | −1.12753 | + | 0.650981i | ||||
\(927\) | −0.0480648 | − | 0.0277502i | −0.00157866 | − | 0.000911437i | ||||
\(928\) | −18.8738 | + | 32.6904i | −0.619563 | + | 1.07311i | ||||
\(929\) | −28.5069 | + | 16.4585i | −0.935280 | + | 0.539984i | −0.888478 | − | 0.458920i | \(-0.848237\pi\) |
−0.0468026 | + | 0.998904i | \(0.514903\pi\) | |||||||
\(930\) | −13.8915 | −0.455522 | ||||||||
\(931\) | 5.79631 | − | 37.4149i | 0.189966 | − | 1.22622i | ||||
\(932\) | 13.8539i | 0.453801i | ||||||||
\(933\) | −8.53342 | − | 14.7803i | −0.279372 | − | 0.483886i | ||||
\(934\) | −27.4968 | + | 47.6259i | −0.899723 | + | 1.55837i | ||||
\(935\) | −12.2515 | − | 26.9015i | −0.400667 | − | 0.879773i | ||||
\(936\) | −8.03706 | + | 4.64020i | −0.262700 | + | 0.151670i | ||||
\(937\) | −22.4998 | −0.735037 | −0.367519 | − | 0.930016i | \(-0.619793\pi\) | ||||
−0.367519 | + | 0.930016i | \(0.619793\pi\) | |||||||
\(938\) | −30.4400 | + | 86.4239i | −0.993900 | + | 2.82184i | ||||
\(939\) | −15.0727 | −0.491881 | ||||||||
\(940\) | −24.3516 | − | 42.1782i | −0.794262 | − | 1.37570i | ||||
\(941\) | 28.3839 | − | 49.1624i | 0.925290 | − | 1.60265i | 0.134195 | − | 0.990955i | \(-0.457155\pi\) |
0.791095 | − | 0.611693i | \(-0.209511\pi\) | |||||||
\(942\) | −19.9785 | − | 11.5346i | −0.650935 | − | 0.375818i | ||||
\(943\) | −5.00560 | − | 8.66996i | −0.163005 | − | 0.282333i | ||||
\(944\) | − | 1.48851i | − | 0.0484468i | ||||||
\(945\) | −5.91854 | − | 31.6350i | −0.192530 | − | 1.02909i | ||||
\(946\) | 27.7738 | + | 19.8214i | 0.903003 | + | 0.644450i | ||||
\(947\) | −9.83558 | − | 17.0357i | −0.319613 | − | 0.553586i | 0.660794 | − | 0.750567i | \(-0.270220\pi\) |
−0.980407 | + | 0.196981i | \(0.936886\pi\) | |||||||
\(948\) | −2.08631 | + | 3.61360i | −0.0677603 | + | 0.117364i | ||||
\(949\) | −1.46108 | + | 2.53066i | −0.0474286 | + | 0.0821488i | ||||
\(950\) | −66.1112 | + | 38.1693i | −2.14493 | + | 1.23838i | ||||
\(951\) | − | 16.3355i | − | 0.529715i | ||||||
\(952\) | −6.85978 | − | 8.00433i | −0.222327 | − | 0.259422i | ||||
\(953\) | − | 5.48509i | − | 0.177680i | −0.996046 | − | 0.0888398i | \(-0.971684\pi\) | ||
0.996046 | − | 0.0888398i | \(-0.0283159\pi\) | |||||||
\(954\) | −36.2745 | + | 20.9431i | −1.17443 | + | 0.678057i | ||||
\(955\) | −40.3461 | − | 23.2938i | −1.30557 | − | 0.753771i | ||||
\(956\) | 6.76012 | + | 3.90296i | 0.218638 | + | 0.126231i | ||||
\(957\) | −1.01427 | + | 10.5057i | −0.0327866 | + | 0.339601i | ||||
\(958\) | − | 18.6242i | − | 0.601722i | ||||||
\(959\) | 5.71128 | − | 4.89462i | 0.184427 | − | 0.158055i | ||||
\(960\) | 26.7207 | 0.862406 | ||||||||
\(961\) | −11.1669 | − | 19.3416i | −0.360222 | − | 0.623924i | ||||
\(962\) | −6.21015 | − | 3.58543i | −0.200223 | − | 0.115599i | ||||
\(963\) | 18.2963 | + | 10.5634i | 0.589590 | + | 0.340400i | ||||
\(964\) | 32.0786 | + | 55.5618i | 1.03318 | + | 1.78952i | ||||
\(965\) | −42.1662 | −1.35738 | ||||||||
\(966\) | 0.955294 | + | 5.10610i | 0.0307361 | + | 0.164286i | ||||
\(967\) | − | 7.87031i | − | 0.253092i | −0.991961 | − | 0.126546i | \(-0.959611\pi\) | ||
0.991961 | − | 0.126546i | \(-0.0403891\pi\) | |||||||
\(968\) | −12.5858 | − | 10.9518i | −0.404523 | − | 0.352006i | ||||
\(969\) | 7.89485 | + | 4.55809i | 0.253619 | + | 0.146427i | ||||
\(970\) | 12.2599 | + | 7.07827i | 0.393642 | + | 0.227270i | ||||
\(971\) | 24.0913 | − | 13.9091i | 0.773127 | − | 0.446365i | −0.0608619 | − | 0.998146i | \(-0.519385\pi\) |
0.833989 | + | 0.551781i | \(0.186052\pi\) | |||||||
\(972\) | − | 38.5032i | − | 1.23499i | ||||||
\(973\) | 17.2385 | + | 6.07171i | 0.552643 | + | 0.194650i | ||||
\(974\) | − | 4.43203i | − | 0.142011i | ||||||
\(975\) | −8.55156 | + | 4.93725i | −0.273869 | + | 0.158118i | ||||
\(976\) | −12.9184 | + | 22.3754i | −0.413509 | + | 0.716219i | ||||
\(977\) | 15.9022 | − | 27.5434i | 0.508757 | − | 0.881193i | −0.491192 | − | 0.871051i | \(-0.663439\pi\) |
0.999949 | − | 0.0101411i | \(-0.00322807\pi\) | |||||||
\(978\) | 6.10419 | + | 10.5728i | 0.195190 | + | 0.338080i | ||||
\(979\) | 5.20425 | − | 7.29219i | 0.166329 | − | 0.233059i | ||||
\(980\) | −40.1792 | + | 49.9617i | −1.28348 | + | 1.59597i | ||||
\(981\) | 31.4756i | 1.00494i | ||||||||
\(982\) | −22.7341 | − | 39.3767i | −0.725476 | − | 1.25656i | ||||
\(983\) | 5.72322 | + | 3.30430i | 0.182542 | + | 0.105391i | 0.588487 | − | 0.808507i | \(-0.299724\pi\) |
−0.405944 | + | 0.913898i | \(0.633057\pi\) | |||||||
\(984\) | −3.45056 | + | 5.97654i | −0.110000 | + | 0.190525i | ||||
\(985\) | 41.9978 | + | 72.7423i | 1.33816 | + | 2.31776i | ||||
\(986\) | 28.2473 | 0.899579 | ||||||||
\(987\) | 8.51369 | + | 2.99866i | 0.270994 | + | 0.0954485i | ||||
\(988\) | −34.5178 | −1.09816 | ||||||||
\(989\) | −5.80166 | + | 3.34959i | −0.184482 | + | 0.106511i | ||||
\(990\) | −57.4611 | + | 26.1690i | −1.82623 | + | 0.831704i | ||||
\(991\) | −8.74838 | + | 15.1526i | −0.277902 | + | 0.481340i | −0.970863 | − | 0.239635i | \(-0.922972\pi\) |
0.692962 | + | 0.720975i | \(0.256306\pi\) | |||||||
\(992\) | −11.2018 | − | 19.4021i | −0.355657 | − | 0.616017i | ||||
\(993\) | 7.66968i | 0.243390i | ||||||||
\(994\) | 21.4851 | − | 4.01961i | 0.681465 | − | 0.127494i | ||||
\(995\) | 56.8530 | 1.80236 | ||||||||
\(996\) | 18.5886 | − | 10.7321i | 0.589002 | − | 0.340061i | ||||
\(997\) | 13.7119 | − | 23.7497i | 0.434261 | − | 0.752162i | −0.562974 | − | 0.826474i | \(-0.690343\pi\) |
0.997235 | + | 0.0743127i | \(0.0236763\pi\) | |||||||
\(998\) | 42.7302 | + | 24.6703i | 1.35260 | + | 0.780924i | ||||
\(999\) | 4.34479 | − | 2.50847i | 0.137463 | − | 0.0793644i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))