Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(148,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.148");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.f (of order \(3\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
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: | \( 3 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 148.1 | ||
Root | \(-0.766044 - 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.148 |
Dual form | 441.2.f.c.295.1 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.26604 | − | 2.19285i | −0.895229 | − | 1.55058i | −0.833521 | − | 0.552487i | \(-0.813679\pi\) |
−0.0617072 | − | 0.998094i | \(-0.519654\pi\) | |||||||
\(3\) | 1.11334 | + | 1.32683i | 0.642788 | + | 0.766044i | ||||
\(4\) | −2.20574 | + | 3.82045i | −1.10287 | + | 1.91022i | ||||
\(5\) | −0.439693 | + | 0.761570i | −0.196637 | + | 0.340584i | −0.947436 | − | 0.319946i | \(-0.896335\pi\) |
0.750799 | + | 0.660530i | \(0.229669\pi\) | |||||||
\(6\) | 1.50000 | − | 4.12122i | 0.612372 | − | 1.68248i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 6.10607 | 2.15882 | ||||||||
\(9\) | −0.520945 | + | 2.95442i | −0.173648 | + | 0.984808i | ||||
\(10\) | 2.22668 | 0.704139 | ||||||||
\(11\) | −1.93969 | − | 3.35965i | −0.584839 | − | 1.01297i | −0.994895 | − | 0.100911i | \(-0.967824\pi\) |
0.410056 | − | 0.912060i | \(-0.365509\pi\) | |||||||
\(12\) | −7.52481 | + | 1.32683i | −2.17223 | + | 0.383022i | ||||
\(13\) | −2.72668 | + | 4.72275i | −0.756245 | + | 1.30986i | 0.188507 | + | 0.982072i | \(0.439635\pi\) |
−0.944753 | + | 0.327784i | \(0.893698\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.50000 | + | 0.264490i | −0.387298 | + | 0.0682911i | ||||
\(16\) | −3.31908 | − | 5.74881i | −0.829769 | − | 1.43720i | ||||
\(17\) | −1.65270 | −0.400840 | −0.200420 | − | 0.979710i | \(-0.564231\pi\) | ||||
−0.200420 | + | 0.979710i | \(0.564231\pi\) | |||||||
\(18\) | 7.13816 | − | 2.59808i | 1.68248 | − | 0.612372i | ||||
\(19\) | −2.41147 | −0.553230 | −0.276615 | − | 0.960981i | \(-0.589213\pi\) | ||||
−0.276615 | + | 0.960981i | \(0.589213\pi\) | |||||||
\(20\) | −1.93969 | − | 3.35965i | −0.433728 | − | 0.751240i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −4.91147 | + | 8.50692i | −1.04713 | + | 1.81368i | ||||
\(23\) | −1.58125 | + | 2.73881i | −0.329714 | + | 0.571081i | −0.982455 | − | 0.186500i | \(-0.940286\pi\) |
0.652741 | + | 0.757581i | \(0.273619\pi\) | |||||||
\(24\) | 6.79813 | + | 8.10170i | 1.38766 | + | 1.65375i | ||||
\(25\) | 2.11334 | + | 3.66041i | 0.422668 | + | 0.732083i | ||||
\(26\) | 13.8084 | 2.70805 | ||||||||
\(27\) | −4.50000 | + | 2.59808i | −0.866025 | + | 0.500000i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.02481 | + | 5.23913i | 0.561694 | + | 0.972883i | 0.997349 | + | 0.0727688i | \(0.0231835\pi\) |
−0.435655 | + | 0.900114i | \(0.643483\pi\) | |||||||
\(30\) | 2.47906 | + | 2.95442i | 0.452612 | + | 0.539401i | ||||
\(31\) | −2.27719 | + | 3.94421i | −0.408995 | + | 0.708400i | −0.994777 | − | 0.102068i | \(-0.967454\pi\) |
0.585782 | + | 0.810468i | \(0.300787\pi\) | |||||||
\(32\) | −2.29813 | + | 3.98048i | −0.406256 | + | 0.703657i | ||||
\(33\) | 2.29813 | − | 6.31407i | 0.400054 | − | 1.09914i | ||||
\(34\) | 2.09240 | + | 3.62414i | 0.358843 | + | 0.621534i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −10.1382 | − | 8.50692i | −1.68969 | − | 1.41782i | ||||
\(37\) | −4.55438 | −0.748735 | −0.374368 | − | 0.927280i | \(-0.622140\pi\) | ||||
−0.374368 | + | 0.927280i | \(0.622140\pi\) | |||||||
\(38\) | 3.05303 | + | 5.28801i | 0.495267 | + | 0.857828i | ||||
\(39\) | −9.30200 | + | 1.64019i | −1.48951 | + | 0.262641i | ||||
\(40\) | −2.68479 | + | 4.65020i | −0.424503 | + | 0.735261i | ||||
\(41\) | −0.592396 | + | 1.02606i | −0.0925168 | + | 0.160244i | −0.908570 | − | 0.417734i | \(-0.862825\pi\) |
0.816053 | + | 0.577977i | \(0.196158\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.0923963 | − | 0.160035i | −0.0140903 | − | 0.0244051i | 0.858894 | − | 0.512153i | \(-0.171152\pi\) |
−0.872985 | + | 0.487748i | \(0.837819\pi\) | |||||||
\(44\) | 17.1138 | 2.58000 | ||||||||
\(45\) | −2.02094 | − | 1.69577i | −0.301265 | − | 0.252791i | ||||
\(46\) | 8.00774 | 1.18068 | ||||||||
\(47\) | −0.511144 | − | 0.885328i | −0.0745581 | − | 0.129138i | 0.826336 | − | 0.563178i | \(-0.190421\pi\) |
−0.900894 | + | 0.434039i | \(0.857088\pi\) | |||||||
\(48\) | 3.93242 | − | 10.8042i | 0.567596 | − | 1.55946i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 5.35117 | − | 9.26849i | 0.756769 | − | 1.31076i | ||||
\(51\) | −1.84002 | − | 2.19285i | −0.257655 | − | 0.307061i | ||||
\(52\) | −12.0287 | − | 20.8343i | −1.66808 | − | 2.88920i | ||||
\(53\) | 7.29086 | 1.00148 | 0.500738 | − | 0.865599i | \(-0.333062\pi\) | ||||
0.500738 | + | 0.865599i | \(0.333062\pi\) | |||||||
\(54\) | 11.3944 | + | 6.57856i | 1.55058 | + | 0.895229i | ||||
\(55\) | 3.41147 | 0.460003 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2.68479 | − | 3.19961i | −0.355609 | − | 0.423799i | ||||
\(58\) | 7.65910 | − | 13.2660i | 1.00569 | − | 1.74190i | ||||
\(59\) | 3.33022 | − | 5.76811i | 0.433558 | − | 0.750944i | −0.563619 | − | 0.826035i | \(-0.690591\pi\) |
0.997177 | + | 0.0750906i | \(0.0239246\pi\) | |||||||
\(60\) | 2.29813 | − | 6.31407i | 0.296688 | − | 0.815143i | ||||
\(61\) | −1.29813 | − | 2.24843i | −0.166209 | − | 0.287882i | 0.770875 | − | 0.636986i | \(-0.219819\pi\) |
−0.937084 | + | 0.349104i | \(0.886486\pi\) | |||||||
\(62\) | 11.5321 | 1.46458 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.63816 | −0.204769 | ||||||||
\(65\) | −2.39780 | − | 4.15312i | −0.297411 | − | 0.515131i | ||||
\(66\) | −16.7554 | + | 2.95442i | −2.06244 | + | 0.363664i | ||||
\(67\) | 1.47906 | − | 2.56180i | 0.180695 | − | 0.312974i | −0.761422 | − | 0.648256i | \(-0.775499\pi\) |
0.942118 | + | 0.335283i | \(0.108832\pi\) | |||||||
\(68\) | 3.64543 | − | 6.31407i | 0.442073 | − | 0.765693i | ||||
\(69\) | −5.39440 | + | 0.951178i | −0.649409 | + | 0.114508i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.68004 | −0.436741 | −0.218370 | − | 0.975866i | \(-0.570074\pi\) | ||||
−0.218370 | + | 0.975866i | \(0.570074\pi\) | |||||||
\(72\) | −3.18092 | + | 18.0399i | −0.374875 | + | 2.12602i | ||||
\(73\) | 12.7811 | 1.49591 | 0.747955 | − | 0.663750i | \(-0.231036\pi\) | ||||
0.747955 | + | 0.663750i | \(0.231036\pi\) | |||||||
\(74\) | 5.76604 | + | 9.98708i | 0.670289 | + | 1.16097i | ||||
\(75\) | −2.50387 | + | 6.87933i | −0.289122 | + | 0.794356i | ||||
\(76\) | 5.31908 | − | 9.21291i | 0.610140 | − | 1.05679i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 15.3735 | + | 18.3214i | 1.74070 | + | 2.07449i | ||||
\(79\) | 2.97906 | + | 5.15988i | 0.335170 | + | 0.580531i | 0.983517 | − | 0.180813i | \(-0.0578729\pi\) |
−0.648348 | + | 0.761345i | \(0.724540\pi\) | |||||||
\(80\) | 5.83750 | 0.652652 | ||||||||
\(81\) | −8.45723 | − | 3.07818i | −0.939693 | − | 0.342020i | ||||
\(82\) | 3.00000 | 0.331295 | ||||||||
\(83\) | −0.109470 | − | 0.189608i | −0.0120159 | − | 0.0208122i | 0.859955 | − | 0.510370i | \(-0.170492\pi\) |
−0.871971 | + | 0.489558i | \(0.837158\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.726682 | − | 1.25865i | 0.0788197 | − | 0.136520i | ||||
\(86\) | −0.233956 | + | 0.405223i | −0.0252281 | + | 0.0436963i | ||||
\(87\) | −3.58378 | + | 9.84635i | −0.384221 | + | 1.05564i | ||||
\(88\) | −11.8439 | − | 20.5142i | −1.26256 | − | 2.18682i | ||||
\(89\) | −11.0273 | −1.16890 | −0.584448 | − | 0.811431i | \(-0.698689\pi\) | ||||
−0.584448 | + | 0.811431i | \(0.698689\pi\) | |||||||
\(90\) | −1.15998 | + | 6.57856i | −0.122272 | + | 0.693441i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −6.97565 | − | 12.0822i | −0.727262 | − | 1.25965i | ||||
\(93\) | −7.76857 | + | 1.36981i | −0.805563 | + | 0.142043i | ||||
\(94\) | −1.29426 | + | 2.24173i | −0.133493 | + | 0.231217i | ||||
\(95\) | 1.06031 | − | 1.83651i | 0.108785 | − | 0.188422i | ||||
\(96\) | −7.84002 | + | 1.38241i | −0.800169 | + | 0.141091i | ||||
\(97\) | 6.25150 | + | 10.8279i | 0.634743 | + | 1.09941i | 0.986569 | + | 0.163342i | \(0.0522275\pi\) |
−0.351826 | + | 0.936065i | \(0.614439\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 10.9363 | − | 3.98048i | 1.09914 | − | 0.400054i | ||||
\(100\) | −18.6459 | −1.86459 | ||||||||
\(101\) | −4.85844 | − | 8.41507i | −0.483433 | − | 0.837330i | 0.516386 | − | 0.856356i | \(-0.327277\pi\) |
−0.999819 | + | 0.0190255i | \(0.993944\pi\) | |||||||
\(102\) | −2.47906 | + | 6.81115i | −0.245463 | + | 0.674404i | ||||
\(103\) | 3.29813 | − | 5.71253i | 0.324975 | − | 0.562873i | −0.656533 | − | 0.754298i | \(-0.727978\pi\) |
0.981507 | + | 0.191425i | \(0.0613109\pi\) | |||||||
\(104\) | −16.6493 | + | 28.8374i | −1.63260 | + | 2.82774i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −9.23055 | − | 15.9878i | −0.896550 | − | 1.55287i | ||||
\(107\) | 2.38919 | 0.230971 | 0.115486 | − | 0.993309i | \(-0.463158\pi\) | ||||
0.115486 | + | 0.993309i | \(0.463158\pi\) | |||||||
\(108\) | − | 22.9227i | − | 2.20574i | ||||||
\(109\) | 3.95811 | 0.379118 | 0.189559 | − | 0.981869i | \(-0.439294\pi\) | ||||
0.189559 | + | 0.981869i | \(0.439294\pi\) | |||||||
\(110\) | −4.31908 | − | 7.48086i | −0.411808 | − | 0.713272i | ||||
\(111\) | −5.07057 | − | 6.04288i | −0.481278 | − | 0.573564i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −8.22668 | + | 14.2490i | −0.773901 | + | 1.34044i | 0.161509 | + | 0.986871i | \(0.448364\pi\) |
−0.935410 | + | 0.353565i | \(0.884969\pi\) | |||||||
\(114\) | −3.61721 | + | 9.93821i | −0.338783 | + | 0.930798i | ||||
\(115\) | −1.39053 | − | 2.40847i | −0.129668 | − | 0.224591i | ||||
\(116\) | −26.6878 | −2.47790 | ||||||||
\(117\) | −12.5326 | − | 10.5161i | −1.15864 | − | 0.972210i | ||||
\(118\) | −16.8648 | −1.55253 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −9.15910 | + | 1.61500i | −0.836108 | + | 0.147428i | ||||
\(121\) | −2.02481 | + | 3.50708i | −0.184074 | + | 0.318826i | ||||
\(122\) | −3.28699 | + | 5.69323i | −0.297590 | + | 0.515441i | ||||
\(123\) | −2.02094 | + | 0.356347i | −0.182222 | + | 0.0321307i | ||||
\(124\) | −10.0458 | − | 17.3998i | −0.902136 | − | 1.56255i | ||||
\(125\) | −8.11381 | −0.725721 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 17.6536 | 1.56651 | 0.783253 | − | 0.621702i | \(-0.213559\pi\) | ||||
0.783253 | + | 0.621702i | \(0.213559\pi\) | |||||||
\(128\) | 6.67024 | + | 11.5532i | 0.589572 | + | 1.02117i | ||||
\(129\) | 0.109470 | − | 0.300767i | 0.00963833 | − | 0.0264811i | ||||
\(130\) | −6.07145 | + | 10.5161i | −0.532502 | + | 0.922320i | ||||
\(131\) | −9.59879 | + | 16.6256i | −0.838650 | + | 1.45259i | 0.0523729 | + | 0.998628i | \(0.483322\pi\) |
−0.891023 | + | 0.453958i | \(0.850012\pi\) | |||||||
\(132\) | 19.0535 | + | 22.7071i | 1.65839 | + | 1.97640i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −7.49020 | −0.647055 | ||||||||
\(135\) | − | 4.56942i | − | 0.393273i | ||||||
\(136\) | −10.0915 | −0.865341 | ||||||||
\(137\) | −9.07785 | − | 15.7233i | −0.775573 | − | 1.34333i | −0.934472 | − | 0.356037i | \(-0.884128\pi\) |
0.158899 | − | 0.987295i | \(-0.449206\pi\) | |||||||
\(138\) | 8.91534 | + | 10.6249i | 0.758925 | + | 0.904451i | ||||
\(139\) | 11.0287 | − | 19.1022i | 0.935441 | − | 1.62023i | 0.161595 | − | 0.986857i | \(-0.448336\pi\) |
0.773846 | − | 0.633374i | \(-0.218330\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.605600 | − | 1.66387i | 0.0510007 | − | 0.140123i | ||||
\(142\) | 4.65910 | + | 8.06980i | 0.390983 | + | 0.677202i | ||||
\(143\) | 21.1557 | 1.76913 | ||||||||
\(144\) | 18.7135 | − | 6.81115i | 1.55946 | − | 0.567596i | ||||
\(145\) | −5.31996 | −0.441798 | ||||||||
\(146\) | −16.1814 | − | 28.0270i | −1.33918 | − | 2.31953i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 10.0458 | − | 17.3998i | 0.825756 | − | 1.43025i | ||||
\(149\) | 7.57785 | − | 13.1252i | 0.620802 | − | 1.07526i | −0.368535 | − | 0.929614i | \(-0.620141\pi\) |
0.989337 | − | 0.145646i | \(-0.0465261\pi\) | |||||||
\(150\) | 18.2554 | − | 3.21891i | 1.49054 | − | 0.262823i | ||||
\(151\) | 9.47818 | + | 16.4167i | 0.771323 | + | 1.33597i | 0.936838 | + | 0.349764i | \(0.113738\pi\) |
−0.165515 | + | 0.986207i | \(0.552929\pi\) | |||||||
\(152\) | −14.7246 | −1.19432 | ||||||||
\(153\) | 0.860967 | − | 4.88279i | 0.0696051 | − | 0.394750i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −2.00253 | − | 3.46848i | −0.160847 | − | 0.278595i | ||||
\(156\) | 14.2515 | − | 39.1557i | 1.14103 | − | 3.13496i | ||||
\(157\) | −9.02869 | + | 15.6381i | −0.720568 | + | 1.24806i | 0.240205 | + | 0.970722i | \(0.422785\pi\) |
−0.960773 | + | 0.277337i | \(0.910548\pi\) | |||||||
\(158\) | 7.54323 | − | 13.0653i | 0.600107 | − | 1.03942i | ||||
\(159\) | 8.11721 | + | 9.67372i | 0.643737 | + | 0.767176i | ||||
\(160\) | −2.02094 | − | 3.50038i | −0.159770 | − | 0.276729i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 3.95723 | + | 22.4426i | 0.310910 | + | 1.76326i | ||||
\(163\) | 0.958111 | 0.0750450 | 0.0375225 | − | 0.999296i | \(-0.488053\pi\) | ||||
0.0375225 | + | 0.999296i | \(0.488053\pi\) | |||||||
\(164\) | −2.61334 | − | 4.52644i | −0.204068 | − | 0.353456i | ||||
\(165\) | 3.79813 | + | 4.52644i | 0.295684 | + | 0.352383i | ||||
\(166\) | −0.277189 | + | 0.480105i | −0.0215140 | + | 0.0372634i | ||||
\(167\) | 9.91921 | − | 17.1806i | 0.767572 | − | 1.32947i | −0.171304 | − | 0.985218i | \(-0.554798\pi\) |
0.938876 | − | 0.344255i | \(-0.111869\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −8.36959 | − | 14.4965i | −0.643814 | − | 1.11512i | ||||
\(170\) | −3.68004 | −0.282247 | ||||||||
\(171\) | 1.25624 | − | 7.12452i | 0.0960674 | − | 0.544825i | ||||
\(172\) | 0.815207 | 0.0621590 | ||||||||
\(173\) | 11.3414 | + | 19.6438i | 0.862268 | + | 1.49349i | 0.869734 | + | 0.493520i | \(0.164290\pi\) |
−0.00746626 | + | 0.999972i | \(0.502377\pi\) | |||||||
\(174\) | 26.1288 | − | 4.60722i | 1.98082 | − | 0.349272i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −12.8760 | + | 22.3019i | −0.970564 | + | 1.68107i | ||||
\(177\) | 11.3610 | − | 2.00324i | 0.853943 | − | 0.150573i | ||||
\(178\) | 13.9611 | + | 24.1813i | 1.04643 | + | 1.81247i | ||||
\(179\) | −7.34730 | −0.549163 | −0.274581 | − | 0.961564i | \(-0.588539\pi\) | ||||
−0.274581 | + | 0.961564i | \(0.588539\pi\) | |||||||
\(180\) | 10.9363 | − | 3.98048i | 0.815143 | − | 0.296688i | ||||
\(181\) | 3.44562 | 0.256111 | 0.128056 | − | 0.991767i | \(-0.459126\pi\) | ||||
0.128056 | + | 0.991767i | \(0.459126\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1.53802 | − | 4.22567i | 0.113694 | − | 0.312371i | ||||
\(184\) | −9.65523 | + | 16.7233i | −0.711793 | + | 1.23286i | ||||
\(185\) | 2.00253 | − | 3.46848i | 0.147229 | − | 0.255008i | ||||
\(186\) | 12.8391 | + | 15.3011i | 0.941412 | + | 1.12193i | ||||
\(187\) | 3.20574 | + | 5.55250i | 0.234427 | + | 0.406039i | ||||
\(188\) | 4.50980 | 0.328911 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −5.36959 | −0.389551 | ||||||||
\(191\) | −2.82888 | − | 4.89976i | −0.204690 | − | 0.354534i | 0.745344 | − | 0.666680i | \(-0.232285\pi\) |
−0.950034 | + | 0.312146i | \(0.898952\pi\) | |||||||
\(192\) | −1.82383 | − | 2.17355i | −0.131623 | − | 0.156863i | ||||
\(193\) | −4.79813 | + | 8.31061i | −0.345377 | + | 0.598211i | −0.985422 | − | 0.170127i | \(-0.945582\pi\) |
0.640045 | + | 0.768337i | \(0.278916\pi\) | |||||||
\(194\) | 15.8293 | − | 27.4172i | 1.13648 | − | 1.96844i | ||||
\(195\) | 2.84090 | − | 7.80531i | 0.203441 | − | 0.558950i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 8.31996 | 0.592772 | 0.296386 | − | 0.955068i | \(-0.404218\pi\) | ||||
0.296386 | + | 0.955068i | \(0.404218\pi\) | |||||||
\(198\) | −22.5744 | − | 18.9422i | −1.60430 | − | 1.34616i | ||||
\(199\) | −6.59627 | −0.467597 | −0.233798 | − | 0.972285i | \(-0.575116\pi\) | ||||
−0.233798 | + | 0.972285i | \(0.575116\pi\) | |||||||
\(200\) | 12.9042 | + | 22.3507i | 0.912465 | + | 1.58044i | ||||
\(201\) | 5.04576 | − | 0.889704i | 0.355900 | − | 0.0627548i | ||||
\(202\) | −12.3020 | + | 21.3077i | −0.865566 | + | 1.49920i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 12.4363 | − | 2.19285i | 0.870714 | − | 0.153530i | ||||
\(205\) | −0.520945 | − | 0.902302i | −0.0363843 | − | 0.0630195i | ||||
\(206\) | −16.7023 | −1.16371 | ||||||||
\(207\) | −7.26786 | − | 6.09845i | −0.505151 | − | 0.423872i | ||||
\(208\) | 36.2003 | 2.51004 | ||||||||
\(209\) | 4.67752 | + | 8.10170i | 0.323551 | + | 0.560406i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.68479 | − | 2.91815i | 0.115986 | − | 0.200893i | −0.802188 | − | 0.597072i | \(-0.796331\pi\) |
0.918173 | + | 0.396179i | \(0.129664\pi\) | |||||||
\(212\) | −16.0817 | + | 27.8544i | −1.10450 | + | 1.91304i | ||||
\(213\) | −4.09714 | − | 4.88279i | −0.280732 | − | 0.334563i | ||||
\(214\) | −3.02481 | − | 5.23913i | −0.206772 | − | 0.358140i | ||||
\(215\) | 0.162504 | 0.0110827 | ||||||||
\(216\) | −27.4773 | + | 15.8640i | −1.86959 | + | 1.07941i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −5.01114 | − | 8.67956i | −0.339398 | − | 0.587854i | ||||
\(219\) | 14.2297 | + | 16.9583i | 0.961552 | + | 1.14593i | ||||
\(220\) | −7.52481 | + | 13.0334i | −0.507323 | + | 0.878709i | ||||
\(221\) | 4.50640 | − | 7.80531i | 0.303133 | − | 0.525042i | ||||
\(222\) | −6.83157 | + | 18.7696i | −0.458505 | + | 1.25973i | ||||
\(223\) | −3.13816 | − | 5.43545i | −0.210146 | − | 0.363984i | 0.741614 | − | 0.670827i | \(-0.234061\pi\) |
−0.951760 | + | 0.306843i | \(0.900727\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −11.9153 | + | 4.33683i | −0.794356 | + | 0.289122i | ||||
\(226\) | 41.6614 | 2.77127 | ||||||||
\(227\) | −3.08125 | − | 5.33688i | −0.204510 | − | 0.354221i | 0.745467 | − | 0.666543i | \(-0.232227\pi\) |
−0.949976 | + | 0.312322i | \(0.898893\pi\) | |||||||
\(228\) | 18.1459 | − | 3.19961i | 1.20174 | − | 0.211899i | ||||
\(229\) | 11.6925 | − | 20.2521i | 0.772664 | − | 1.33829i | −0.163434 | − | 0.986554i | \(-0.552257\pi\) |
0.936098 | − | 0.351740i | \(-0.114410\pi\) | |||||||
\(230\) | −3.52094 | + | 6.09845i | −0.232164 | + | 0.402120i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 18.4697 | + | 31.9905i | 1.21260 | + | 2.10028i | ||||
\(233\) | −8.52528 | −0.558510 | −0.279255 | − | 0.960217i | \(-0.590087\pi\) | ||||
−0.279255 | + | 0.960217i | \(0.590087\pi\) | |||||||
\(234\) | −7.19341 | + | 40.7959i | −0.470248 | + | 2.66691i | ||||
\(235\) | 0.898986 | 0.0586434 | ||||||||
\(236\) | 14.6912 | + | 25.4459i | 0.956315 | + | 1.65639i | ||||
\(237\) | −3.52956 | + | 9.69739i | −0.229270 | + | 0.629913i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −7.28106 | + | 12.6112i | −0.470973 | + | 0.815748i | −0.999449 | − | 0.0331997i | \(-0.989430\pi\) |
0.528476 | + | 0.848948i | \(0.322764\pi\) | |||||||
\(240\) | 6.49912 | + | 7.74535i | 0.419517 | + | 0.499960i | ||||
\(241\) | −2.70187 | − | 4.67977i | −0.174043 | − | 0.301451i | 0.765787 | − | 0.643094i | \(-0.222350\pi\) |
−0.939830 | + | 0.341644i | \(0.889016\pi\) | |||||||
\(242\) | 10.2540 | 0.659154 | ||||||||
\(243\) | −5.33157 | − | 14.6484i | −0.342020 | − | 0.939693i | ||||
\(244\) | 11.4534 | 0.733226 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 3.34002 | + | 3.98048i | 0.212952 | + | 0.253786i | ||||
\(247\) | 6.57532 | − | 11.3888i | 0.418378 | − | 0.724651i | ||||
\(248\) | −13.9047 | + | 24.0836i | −0.882947 | + | 1.52931i | ||||
\(249\) | 0.129700 | − | 0.356347i | 0.00821939 | − | 0.0225826i | ||||
\(250\) | 10.2724 | + | 17.7924i | 0.649686 | + | 1.12529i | ||||
\(251\) | 12.0669 | 0.761654 | 0.380827 | − | 0.924646i | \(-0.375639\pi\) | ||||
0.380827 | + | 0.924646i | \(0.375639\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 12.2686 | 0.771318 | ||||||||
\(254\) | −22.3503 | − | 38.7118i | −1.40238 | − | 2.42900i | ||||
\(255\) | 2.47906 | − | 0.437124i | 0.155244 | − | 0.0273738i | ||||
\(256\) | 15.2515 | − | 26.4164i | 0.953219 | − | 1.65102i | ||||
\(257\) | 5.28312 | − | 9.15063i | 0.329552 | − | 0.570801i | −0.652871 | − | 0.757469i | \(-0.726436\pi\) |
0.982423 | + | 0.186668i | \(0.0597690\pi\) | |||||||
\(258\) | −0.798133 | + | 0.140732i | −0.0496896 | + | 0.00876162i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 21.1557 | 1.31202 | ||||||||
\(261\) | −17.0544 | + | 6.20729i | −1.05564 | + | 0.384221i | ||||
\(262\) | 48.6100 | 3.00314 | ||||||||
\(263\) | 14.1766 | + | 24.5547i | 0.874169 | + | 1.51411i | 0.857645 | + | 0.514242i | \(0.171927\pi\) |
0.0165240 | + | 0.999863i | \(0.494740\pi\) | |||||||
\(264\) | 14.0326 | − | 38.5541i | 0.863644 | − | 2.37284i | ||||
\(265\) | −3.20574 | + | 5.55250i | −0.196927 | + | 0.341087i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −12.2772 | − | 14.6314i | −0.751352 | − | 0.895426i | ||||
\(268\) | 6.52481 | + | 11.3013i | 0.398567 | + | 0.690337i | ||||
\(269\) | −7.48339 | −0.456271 | −0.228135 | − | 0.973629i | \(-0.573263\pi\) | ||||
−0.228135 | + | 0.973629i | \(0.573263\pi\) | |||||||
\(270\) | −10.0201 | + | 5.78509i | −0.609802 | + | 0.352069i | ||||
\(271\) | −13.6382 | −0.828459 | −0.414229 | − | 0.910172i | \(-0.635949\pi\) | ||||
−0.414229 | + | 0.910172i | \(0.635949\pi\) | |||||||
\(272\) | 5.48545 | + | 9.50108i | 0.332604 | + | 0.576088i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −22.9859 | + | 39.8128i | −1.38863 | + | 2.40518i | ||||
\(275\) | 8.19846 | − | 14.2002i | 0.494386 | − | 0.856302i | ||||
\(276\) | 8.26470 | − | 22.7071i | 0.497476 | − | 1.36681i | ||||
\(277\) | 3.07532 | + | 5.32661i | 0.184778 | + | 0.320045i | 0.943502 | − | 0.331368i | \(-0.107510\pi\) |
−0.758724 | + | 0.651413i | \(0.774177\pi\) | |||||||
\(278\) | −55.8512 | −3.34973 | ||||||||
\(279\) | −10.4666 | − | 8.78249i | −0.626617 | − | 0.525794i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.65611 | − | 2.86846i | −0.0987951 | − | 0.171118i | 0.812391 | − | 0.583113i | \(-0.198165\pi\) |
−0.911186 | + | 0.411995i | \(0.864832\pi\) | |||||||
\(282\) | −4.41534 | + | 0.778544i | −0.262930 | + | 0.0463616i | ||||
\(283\) | 14.5116 | − | 25.1348i | 0.862626 | − | 1.49411i | −0.00675974 | − | 0.999977i | \(-0.502152\pi\) |
0.869385 | − | 0.494134i | \(-0.164515\pi\) | |||||||
\(284\) | 8.11721 | − | 14.0594i | 0.481668 | − | 0.834273i | ||||
\(285\) | 3.61721 | − | 0.637812i | 0.214265 | − | 0.0377807i | ||||
\(286\) | −26.7841 | − | 46.3913i | −1.58377 | − | 2.74318i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −10.5628 | − | 8.86327i | −0.622421 | − | 0.522273i | ||||
\(289\) | −14.2686 | −0.839328 | ||||||||
\(290\) | 6.73530 | + | 11.6659i | 0.395510 | + | 0.685044i | ||||
\(291\) | −7.40673 | + | 20.3498i | −0.434190 | + | 1.19293i | ||||
\(292\) | −28.1917 | + | 48.8294i | −1.64979 | + | 2.85752i | ||||
\(293\) | −4.20961 | + | 7.29125i | −0.245928 | + | 0.425960i | −0.962392 | − | 0.271664i | \(-0.912426\pi\) |
0.716464 | + | 0.697624i | \(0.245759\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.92855 | + | 5.07239i | 0.170507 | + | 0.295326i | ||||
\(296\) | −27.8093 | −1.61638 | ||||||||
\(297\) | 17.4572 | + | 10.0789i | 1.01297 | + | 0.584839i | ||||
\(298\) | −38.3756 | −2.22304 | ||||||||
\(299\) | −8.62314 | − | 14.9357i | −0.498689 | − | 0.863755i | ||||
\(300\) | −20.7592 | − | 24.7399i | −1.19854 | − | 1.42836i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 23.9996 | − | 41.5685i | 1.38102 | − | 2.39200i | ||||
\(303\) | 5.75624 | − | 15.8152i | 0.330688 | − | 0.908557i | ||||
\(304\) | 8.00387 | + | 13.8631i | 0.459053 | + | 0.795104i | ||||
\(305\) | 2.28312 | 0.130731 | ||||||||
\(306\) | −11.7973 | + | 4.29385i | −0.674404 | + | 0.245463i | ||||
\(307\) | 12.6878 | 0.724130 | 0.362065 | − | 0.932153i | \(-0.382072\pi\) | ||||
0.362065 | + | 0.932153i | \(0.382072\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 11.2515 | − | 1.98394i | 0.640075 | − | 0.112863i | ||||
\(310\) | −5.07057 | + | 8.78249i | −0.287989 | + | 0.498812i | ||||
\(311\) | −8.24510 | + | 14.2809i | −0.467537 | + | 0.809797i | −0.999312 | − | 0.0370881i | \(-0.988192\pi\) |
0.531775 | + | 0.846886i | \(0.321525\pi\) | |||||||
\(312\) | −56.7987 | + | 10.0151i | −3.21559 | + | 0.566995i | ||||
\(313\) | 14.2592 | + | 24.6977i | 0.805980 | + | 1.39600i | 0.915628 | + | 0.402027i | \(0.131694\pi\) |
−0.109648 | + | 0.993970i | \(0.534972\pi\) | |||||||
\(314\) | 45.7229 | 2.58029 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −26.2841 | −1.47859 | ||||||||
\(317\) | 12.9474 | + | 22.4256i | 0.727200 | + | 1.25955i | 0.958062 | + | 0.286561i | \(0.0925122\pi\) |
−0.230862 | + | 0.972987i | \(0.574154\pi\) | |||||||
\(318\) | 10.9363 | − | 30.0472i | 0.613277 | − | 1.68496i | ||||
\(319\) | 11.7344 | − | 20.3246i | 0.657002 | − | 1.13796i | ||||
\(320\) | 0.720285 | − | 1.24757i | 0.0402652 | − | 0.0697413i | ||||
\(321\) | 2.65998 | + | 3.17004i | 0.148465 | + | 0.176934i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.98545 | 0.221756 | ||||||||
\(324\) | 30.4145 | − | 25.5208i | 1.68969 | − | 1.41782i | ||||
\(325\) | −23.0496 | −1.27856 | ||||||||
\(326\) | −1.21301 | − | 2.10100i | −0.0671825 | − | 0.116363i | ||||
\(327\) | 4.40673 | + | 5.25173i | 0.243693 | + | 0.290421i | ||||
\(328\) | −3.61721 | + | 6.26519i | −0.199727 | + | 0.345937i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 5.11721 | − | 14.0594i | 0.281693 | − | 0.773946i | ||||
\(331\) | −4.10947 | − | 7.11781i | −0.225877 | − | 0.391230i | 0.730705 | − | 0.682693i | \(-0.239191\pi\) |
−0.956582 | + | 0.291463i | \(0.905858\pi\) | |||||||
\(332\) | 0.965852 | 0.0530080 | ||||||||
\(333\) | 2.37258 | − | 13.4556i | 0.130016 | − | 0.737360i | ||||
\(334\) | −50.2327 | −2.74861 | ||||||||
\(335\) | 1.30066 | + | 2.25281i | 0.0710626 | + | 0.123084i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.28564 | + | 3.95885i | −0.124507 | + | 0.215652i | −0.921540 | − | 0.388283i | \(-0.873068\pi\) |
0.797033 | + | 0.603936i | \(0.206402\pi\) | |||||||
\(338\) | −21.1925 | + | 36.7065i | −1.15272 | + | 1.99657i | ||||
\(339\) | −28.0651 | + | 4.94864i | −1.52429 | + | 0.268773i | ||||
\(340\) | 3.20574 | + | 5.55250i | 0.173856 | + | 0.301127i | ||||
\(341\) | 17.6682 | 0.956786 | ||||||||
\(342\) | −17.2135 | + | 6.26519i | −0.930798 | + | 0.338783i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −0.564178 | − | 0.977185i | −0.0304184 | − | 0.0526863i | ||||
\(345\) | 1.64749 | − | 4.52644i | 0.0886978 | − | 0.243695i | ||||
\(346\) | 28.7173 | − | 49.7399i | 1.54385 | − | 2.67403i | ||||
\(347\) | −11.2331 | + | 19.4563i | −0.603023 | + | 1.04447i | 0.389337 | + | 0.921095i | \(0.372704\pi\) |
−0.992361 | + | 0.123372i | \(0.960629\pi\) | |||||||
\(348\) | −29.7126 | − | 35.4101i | −1.59276 | − | 1.89818i | ||||
\(349\) | 13.0496 | + | 22.6026i | 0.698531 | + | 1.20989i | 0.968976 | + | 0.247155i | \(0.0794958\pi\) |
−0.270445 | + | 0.962735i | \(0.587171\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 28.3365i | − | 1.51249i | ||||||
\(352\) | 17.8307 | 0.950379 | ||||||||
\(353\) | −0.177519 | − | 0.307471i | −0.00944836 | − | 0.0163650i | 0.861263 | − | 0.508160i | \(-0.169674\pi\) |
−0.870711 | + | 0.491795i | \(0.836341\pi\) | |||||||
\(354\) | −18.7763 | − | 22.3767i | −0.997950 | − | 1.18931i | ||||
\(355\) | 1.61809 | − | 2.80261i | 0.0858792 | − | 0.148747i | ||||
\(356\) | 24.3234 | − | 42.1294i | 1.28914 | − | 2.23285i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 9.30200 | + | 16.1115i | 0.491626 | + | 0.851522i | ||||
\(359\) | 5.45605 | 0.287959 | 0.143980 | − | 0.989581i | \(-0.454010\pi\) | ||||
0.143980 | + | 0.989581i | \(0.454010\pi\) | |||||||
\(360\) | −12.3400 | − | 10.3545i | −0.650376 | − | 0.545731i | ||||
\(361\) | −13.1848 | −0.693936 | ||||||||
\(362\) | −4.36231 | − | 7.55574i | −0.229278 | − | 0.397121i | ||||
\(363\) | −6.90760 | + | 1.21800i | −0.362555 | + | 0.0639283i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −5.61974 | + | 9.73367i | −0.294150 | + | 0.509484i | ||||
\(366\) | −11.2135 | + | 1.97724i | −0.586138 | + | 0.103352i | ||||
\(367\) | 5.46198 | + | 9.46043i | 0.285113 | + | 0.493830i | 0.972637 | − | 0.232332i | \(-0.0746355\pi\) |
−0.687523 | + | 0.726162i | \(0.741302\pi\) | |||||||
\(368\) | 20.9932 | 1.09435 | ||||||||
\(369\) | −2.72281 | − | 2.28471i | −0.141744 | − | 0.118937i | ||||
\(370\) | −10.1411 | −0.527213 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 11.9021 | − | 32.7009i | 0.617097 | − | 1.69546i | ||||
\(373\) | −0.865715 | + | 1.49946i | −0.0448250 | + | 0.0776392i | −0.887567 | − | 0.460678i | \(-0.847606\pi\) |
0.842742 | + | 0.538317i | \(0.180940\pi\) | |||||||
\(374\) | 8.11721 | − | 14.0594i | 0.419731 | − | 0.726995i | ||||
\(375\) | −9.03343 | − | 10.7656i | −0.466484 | − | 0.555935i | ||||
\(376\) | −3.12108 | − | 5.40587i | −0.160957 | − | 0.278787i | ||||
\(377\) | −32.9908 | −1.69911 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −12.1334 | −0.623251 | −0.311626 | − | 0.950205i | \(-0.600873\pi\) | ||||
−0.311626 | + | 0.950205i | \(0.600873\pi\) | |||||||
\(380\) | 4.67752 | + | 8.10170i | 0.239952 | + | 0.415608i | ||||
\(381\) | 19.6545 | + | 23.4233i | 1.00693 | + | 1.20001i | ||||
\(382\) | −7.16297 | + | 12.4066i | −0.366489 | + | 0.634778i | ||||
\(383\) | −4.35591 | + | 7.54467i | −0.222577 | + | 0.385514i | −0.955590 | − | 0.294700i | \(-0.904780\pi\) |
0.733013 | + | 0.680215i | \(0.238113\pi\) | |||||||
\(384\) | −7.90286 | + | 21.7129i | −0.403291 | + | 1.10803i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 24.2986 | 1.23677 | ||||||||
\(387\) | 0.520945 | − | 0.189608i | 0.0264811 | − | 0.00963833i | ||||
\(388\) | −55.1566 | −2.80015 | ||||||||
\(389\) | −1.82160 | − | 3.15511i | −0.0923590 | − | 0.159970i | 0.816144 | − | 0.577848i | \(-0.196107\pi\) |
−0.908503 | + | 0.417878i | \(0.862774\pi\) | |||||||
\(390\) | −20.7126 | + | 3.65219i | −1.04882 | + | 0.184936i | ||||
\(391\) | 2.61334 | − | 4.52644i | 0.132162 | − | 0.228912i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −32.7460 | + | 5.77401i | −1.65182 | + | 0.291260i | ||||
\(394\) | −10.5334 | − | 18.2444i | −0.530667 | − | 0.919142i | ||||
\(395\) | −5.23947 | −0.263627 | ||||||||
\(396\) | −8.91534 | + | 50.5614i | −0.448013 | + | 2.54081i | ||||
\(397\) | 15.4456 | 0.775194 | 0.387597 | − | 0.921829i | \(-0.373305\pi\) | ||||
0.387597 | + | 0.921829i | \(0.373305\pi\) | |||||||
\(398\) | 8.35117 | + | 14.4646i | 0.418606 | + | 0.725047i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 14.0287 | − | 24.2984i | 0.701434 | − | 1.21492i | ||||
\(401\) | −9.21095 | + | 15.9538i | −0.459973 | + | 0.796697i | −0.998959 | − | 0.0456182i | \(-0.985474\pi\) |
0.538986 | + | 0.842315i | \(0.318808\pi\) | |||||||
\(402\) | −8.33915 | − | 9.93821i | −0.415919 | − | 0.495673i | ||||
\(403\) | −12.4183 | − | 21.5092i | −0.618601 | − | 1.07145i | ||||
\(404\) | 42.8658 | 2.13265 | ||||||||
\(405\) | 6.06283 | − | 5.08732i | 0.301265 | − | 0.252791i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 8.83409 | + | 15.3011i | 0.437890 | + | 0.758447i | ||||
\(408\) | −11.2353 | − | 13.3897i | −0.556230 | − | 0.662889i | ||||
\(409\) | −14.3182 | + | 24.7999i | −0.707989 | + | 1.22627i | 0.257612 | + | 0.966248i | \(0.417064\pi\) |
−0.965602 | + | 0.260025i | \(0.916269\pi\) | |||||||
\(410\) | −1.31908 | + | 2.28471i | −0.0651446 | + | 0.112834i | ||||
\(411\) | 10.7554 | − | 29.5501i | 0.530523 | − | 1.45760i | ||||
\(412\) | 14.5496 | + | 25.2007i | 0.716809 | + | 1.24155i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −4.17159 | + | 23.6583i | −0.205022 | + | 1.16274i | ||||
\(415\) | 0.192533 | 0.00945109 | ||||||||
\(416\) | −12.5326 | − | 21.7070i | −0.614459 | − | 1.06427i | ||||
\(417\) | 37.6241 | − | 6.63414i | 1.84246 | − | 0.324875i | ||||
\(418\) | 11.8439 | − | 20.5142i | 0.579304 | − | 1.00338i | ||||
\(419\) | −17.3478 | + | 30.0472i | −0.847494 | + | 1.46790i | 0.0359442 | + | 0.999354i | \(0.488556\pi\) |
−0.883438 | + | 0.468548i | \(0.844777\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 13.7010 | + | 23.7308i | 0.667745 | + | 1.15657i | 0.978533 | + | 0.206090i | \(0.0660738\pi\) |
−0.310788 | + | 0.950479i | \(0.600593\pi\) | |||||||
\(422\) | −8.53209 | −0.415336 | ||||||||
\(423\) | 2.88191 | − | 1.04893i | 0.140123 | − | 0.0510007i | ||||
\(424\) | 44.5185 | 2.16201 | ||||||||
\(425\) | −3.49273 | − | 6.04958i | −0.169422 | − | 0.293448i | ||||
\(426\) | −5.52007 | + | 15.1663i | −0.267448 | + | 0.734808i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −5.26991 | + | 9.12776i | −0.254731 | + | 0.441207i | ||||
\(429\) | 23.5535 | + | 28.0700i | 1.13717 | + | 1.35523i | ||||
\(430\) | −0.205737 | − | 0.356347i | −0.00992152 | − | 0.0171846i | ||||
\(431\) | 26.5921 | 1.28090 | 0.640449 | − | 0.768000i | \(-0.278748\pi\) | ||||
0.640449 | + | 0.768000i | \(0.278748\pi\) | |||||||
\(432\) | 29.8717 | + | 17.2464i | 1.43720 | + | 0.829769i | ||||
\(433\) | −37.1830 | −1.78690 | −0.893451 | − | 0.449160i | \(-0.851723\pi\) | ||||
−0.893451 | + | 0.449160i | \(0.851723\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −5.92292 | − | 7.05866i | −0.283982 | − | 0.338437i | ||||
\(436\) | −8.73055 | + | 15.1218i | −0.418118 | + | 0.724201i | ||||
\(437\) | 3.81315 | − | 6.60457i | 0.182408 | − | 0.315939i | ||||
\(438\) | 19.1716 | − | 52.6735i | 0.916054 | − | 2.51684i | ||||
\(439\) | 12.5373 | + | 21.7152i | 0.598373 | + | 1.03641i | 0.993061 | + | 0.117597i | \(0.0375192\pi\) |
−0.394689 | + | 0.918815i | \(0.629147\pi\) | |||||||
\(440\) | 20.8307 | 0.993064 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −22.8212 | −1.08549 | ||||||||
\(443\) | −1.02229 | − | 1.77066i | −0.0485704 | − | 0.0841264i | 0.840718 | − | 0.541473i | \(-0.182133\pi\) |
−0.889288 | + | 0.457347i | \(0.848800\pi\) | |||||||
\(444\) | 34.2708 | − | 6.04288i | 1.62642 | − | 0.286782i | ||||
\(445\) | 4.84864 | − | 8.39809i | 0.229848 | − | 0.398108i | ||||
\(446\) | −7.94609 | + | 13.7630i | −0.376258 | + | 0.651698i | ||||
\(447\) | 25.8516 | − | 4.55834i | 1.22274 | − | 0.215602i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −10.2344 | −0.482992 | −0.241496 | − | 0.970402i | \(-0.577638\pi\) | ||||
−0.241496 | + | 0.970402i | \(0.577638\pi\) | |||||||
\(450\) | 24.5954 | + | 20.6380i | 1.15944 | + | 0.972884i | ||||
\(451\) | 4.59627 | 0.216430 | ||||||||
\(452\) | −36.2918 | − | 62.8592i | −1.70702 | − | 2.95665i | ||||
\(453\) | −11.2297 | + | 30.8533i | −0.527616 | + | 1.44961i | ||||
\(454\) | −7.80200 | + | 13.5135i | −0.366166 | + | 0.634218i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −16.3935 | − | 19.5370i | −0.767697 | − | 0.914906i | ||||
\(457\) | 21.2973 | + | 36.8879i | 0.996244 | + | 1.72554i | 0.573115 | + | 0.819475i | \(0.305735\pi\) |
0.423129 | + | 0.906070i | \(0.360932\pi\) | |||||||
\(458\) | −59.2131 | −2.76684 | ||||||||
\(459\) | 7.43717 | − | 4.29385i | 0.347137 | − | 0.200420i | ||||
\(460\) | 12.2686 | 0.572025 | ||||||||
\(461\) | 0.252374 | + | 0.437124i | 0.0117542 | + | 0.0203589i | 0.871843 | − | 0.489786i | \(-0.162925\pi\) |
−0.860088 | + | 0.510145i | \(0.829592\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −1.34002 | + | 2.32099i | −0.0622761 | + | 0.107865i | −0.895482 | − | 0.445097i | \(-0.853169\pi\) |
0.833206 | + | 0.552962i | \(0.186503\pi\) | |||||||
\(464\) | 20.0792 | − | 34.7782i | 0.932153 | − | 1.61454i | ||||
\(465\) | 2.37258 | − | 6.51860i | 0.110026 | − | 0.302293i | ||||
\(466\) | 10.7934 | + | 18.6947i | 0.499994 | + | 0.866015i | ||||
\(467\) | 31.4165 | 1.45378 | 0.726892 | − | 0.686752i | \(-0.240964\pi\) | ||||
0.726892 | + | 0.686752i | \(0.240964\pi\) | |||||||
\(468\) | 67.8196 | − | 24.6843i | 3.13496 | − | 1.14103i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −1.13816 | − | 1.97134i | −0.0524992 | − | 0.0909313i | ||||
\(471\) | −30.8011 | + | 5.43107i | −1.41924 | + | 0.250250i | ||||
\(472\) | 20.3346 | − | 35.2205i | 0.935974 | − | 1.62115i | ||||
\(473\) | −0.358441 | + | 0.620838i | −0.0164811 | + | 0.0285461i | ||||
\(474\) | 25.7335 | − | 4.53752i | 1.18198 | − | 0.208415i | ||||
\(475\) | −5.09627 | − | 8.82699i | −0.233833 | − | 0.405010i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −3.79813 | + | 21.5403i | −0.173905 | + | 0.986262i | ||||
\(478\) | 36.8726 | 1.68651 | ||||||||
\(479\) | −8.22028 | − | 14.2380i | −0.375594 | − | 0.650549i | 0.614821 | − | 0.788666i | \(-0.289228\pi\) |
−0.990416 | + | 0.138118i | \(0.955895\pi\) | |||||||
\(480\) | 2.39440 | − | 6.57856i | 0.109289 | − | 0.300269i | ||||
\(481\) | 12.4183 | − | 21.5092i | 0.566227 | − | 0.980735i | ||||
\(482\) | −6.84137 | + | 11.8496i | −0.311616 | + | 0.539734i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −8.93242 | − | 15.4714i | −0.406019 | − | 0.703246i | ||||
\(485\) | −10.9949 | −0.499255 | ||||||||
\(486\) | −25.3717 | + | 30.2368i | −1.15088 | + | 1.37157i | ||||
\(487\) | −2.97535 | −0.134826 | −0.0674129 | − | 0.997725i | \(-0.521474\pi\) | ||||
−0.0674129 | + | 0.997725i | \(0.521474\pi\) | |||||||
\(488\) | −7.92649 | − | 13.7291i | −0.358815 | − | 0.621486i | ||||
\(489\) | 1.06670 | + | 1.27125i | 0.0482380 | + | 0.0574878i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 13.2430 | − | 22.9376i | 0.597650 | − | 1.03516i | −0.395517 | − | 0.918459i | \(-0.629435\pi\) |
0.993167 | − | 0.116702i | \(-0.0372321\pi\) | |||||||
\(492\) | 3.09627 | − | 8.50692i | 0.139590 | − | 0.383522i | ||||
\(493\) | −4.99912 | − | 8.65873i | −0.225149 | − | 0.389970i | ||||
\(494\) | −33.2986 | −1.49817 | ||||||||
\(495\) | −1.77719 | + | 10.0789i | −0.0798787 | + | 0.453015i | ||||
\(496\) | 30.2327 | 1.35749 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −0.945622 | + | 0.166739i | −0.0423744 | + | 0.00747174i | ||||
\(499\) | 6.72193 | − | 11.6427i | 0.300915 | − | 0.521200i | −0.675428 | − | 0.737426i | \(-0.736041\pi\) |
0.976343 | + | 0.216225i | \(0.0693746\pi\) | |||||||
\(500\) | 17.8969 | − | 30.9984i | 0.800375 | − | 1.38629i | ||||
\(501\) | 33.8391 | − | 5.96675i | 1.51182 | − | 0.266575i | ||||
\(502\) | −15.2772 | − | 26.4609i | −0.681854 | − | 1.18101i | ||||
\(503\) | 22.6631 | 1.01050 | 0.505250 | − | 0.862973i | \(-0.331400\pi\) | ||||
0.505250 | + | 0.862973i | \(0.331400\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8.54488 | 0.380242 | ||||||||
\(506\) | −15.5326 | − | 26.9032i | −0.690506 | − | 1.19599i | ||||
\(507\) | 9.91622 | − | 27.2446i | 0.440395 | − | 1.20997i | ||||
\(508\) | −38.9393 | + | 67.4448i | −1.72765 | + | 2.99238i | ||||
\(509\) | 4.77379 | − | 8.26844i | 0.211594 | − | 0.366492i | −0.740619 | − | 0.671925i | \(-0.765468\pi\) |
0.952214 | + | 0.305433i | \(0.0988011\pi\) | |||||||
\(510\) | −4.09714 | − | 4.88279i | −0.181425 | − | 0.216213i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −50.5553 | −2.23425 | ||||||||
\(513\) | 10.8516 | − | 6.26519i | 0.479111 | − | 0.276615i | ||||
\(514\) | −26.7547 | −1.18010 | ||||||||
\(515\) | 2.90033 | + | 5.02352i | 0.127804 | + | 0.221363i | ||||
\(516\) | 0.907604 | + | 1.08164i | 0.0399550 | + | 0.0476165i | ||||
\(517\) | −1.98293 | + | 3.43453i | −0.0872090 | + | 0.151050i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −13.4372 | + | 36.9183i | −0.589826 | + | 1.62053i | ||||
\(520\) | −14.6411 | − | 25.3592i | −0.642057 | − | 1.11208i | ||||
\(521\) | 3.11287 | 0.136377 | 0.0681887 | − | 0.997672i | \(-0.478278\pi\) | ||||
0.0681887 | + | 0.997672i | \(0.478278\pi\) | |||||||
\(522\) | 35.2033 | + | 29.5390i | 1.54081 | + | 1.29289i | ||||
\(523\) | 16.1489 | 0.706142 | 0.353071 | − | 0.935597i | \(-0.385137\pi\) | ||||
0.353071 | + | 0.935597i | \(0.385137\pi\) | |||||||
\(524\) | −42.3448 | − | 73.3434i | −1.84984 | − | 3.20402i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 35.8965 | − | 62.1746i | 1.56516 | − | 2.71094i | ||||
\(527\) | 3.76352 | − | 6.51860i | 0.163941 | − | 0.283955i | ||||
\(528\) | −43.9261 | + | 7.74535i | −1.91164 | + | 0.337073i | ||||
\(529\) | 6.49928 | + | 11.2571i | 0.282578 | + | 0.489439i | ||||
\(530\) | 16.2344 | 0.705178 | ||||||||
\(531\) | 15.3066 | + | 12.8438i | 0.664249 | + | 0.557371i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −3.23055 | − | 5.59548i | −0.139931 | − | 0.242367i | ||||
\(534\) | −16.5410 | + | 45.4461i | −0.715800 | + | 1.96664i | ||||
\(535\) | −1.05051 | + | 1.81953i | −0.0454174 | + | 0.0786652i | ||||
\(536\) | 9.03121 | − | 15.6425i | 0.390089 | − | 0.675654i | ||||
\(537\) | −8.18004 | − | 9.74860i | −0.352995 | − | 0.420683i | ||||
\(538\) | 9.47431 | + | 16.4100i | 0.408466 | + | 0.707485i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 17.4572 | + | 10.0789i | 0.751240 | + | 0.433728i | ||||
\(541\) | −5.01548 | −0.215632 | −0.107816 | − | 0.994171i | \(-0.534386\pi\) | ||||
−0.107816 | + | 0.994171i | \(0.534386\pi\) | |||||||
\(542\) | 17.2665 | + | 29.9065i | 0.741660 | + | 1.28459i | ||||
\(543\) | 3.83615 | + | 4.57175i | 0.164625 | + | 0.196192i | ||||
\(544\) | 3.79813 | − | 6.57856i | 0.162844 | − | 0.282053i | ||||
\(545\) | −1.74035 | + | 3.01438i | −0.0745485 | + | 0.129122i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −8.23901 | − | 14.2704i | −0.352275 | − | 0.610157i | 0.634373 | − | 0.773027i | \(-0.281258\pi\) |
−0.986648 | + | 0.162870i | \(0.947925\pi\) | |||||||
\(548\) | 80.0934 | 3.42142 | ||||||||
\(549\) | 7.31908 | − | 2.66393i | 0.312371 | − | 0.113694i | ||||
\(550\) | −41.5185 | −1.77035 | ||||||||
\(551\) | −7.29426 | − | 12.6340i | −0.310746 | − | 0.538228i | ||||
\(552\) | −32.9386 | + | 5.80796i | −1.40196 | + | 0.247203i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 7.78699 | − | 13.4875i | 0.330837 | − | 0.573027i | ||||
\(555\) | 6.83157 | − | 1.20459i | 0.289984 | − | 0.0511320i | ||||
\(556\) | 48.6528 | + | 84.2691i | 2.06334 | + | 3.57380i | ||||
\(557\) | −34.5631 | −1.46448 | −0.732242 | − | 0.681045i | \(-0.761526\pi\) | ||||
−0.732242 | + | 0.681045i | \(0.761526\pi\) | |||||||
\(558\) | −6.00758 | + | 34.0707i | −0.254321 | + | 1.44233i | ||||
\(559\) | 1.00774 | 0.0426229 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.79813 | + | 10.4353i | −0.160357 | + | 0.440578i | ||||
\(562\) | −4.19341 | + | 7.26320i | −0.176888 | + | 0.306380i | ||||
\(563\) | −18.6052 | + | 32.2251i | −0.784115 | + | 1.35813i | 0.145411 | + | 0.989371i | \(0.453550\pi\) |
−0.929526 | + | 0.368756i | \(0.879784\pi\) | |||||||
\(564\) | 5.02094 | + | 5.98373i | 0.211420 | + | 0.251960i | ||||
\(565\) | −7.23442 | − | 12.5304i | −0.304354 | − | 0.527157i | ||||
\(566\) | −73.4894 | −3.08899 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −22.4706 | −0.942845 | ||||||||
\(569\) | −0.202333 | − | 0.350452i | −0.00848226 | − | 0.0146917i | 0.861753 | − | 0.507328i | \(-0.169367\pi\) |
−0.870235 | + | 0.492636i | \(0.836033\pi\) | |||||||
\(570\) | −5.97818 | − | 7.12452i | −0.250398 | − | 0.298413i | ||||
\(571\) | 18.8897 | − | 32.7178i | 0.790507 | − | 1.36920i | −0.135146 | − | 0.990826i | \(-0.543150\pi\) |
0.925653 | − | 0.378373i | \(-0.123516\pi\) | |||||||
\(572\) | −46.6639 | + | 80.8243i | −1.95112 | + | 3.37943i | ||||
\(573\) | 3.35163 | − | 9.20854i | 0.140017 | − | 0.384692i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −13.3669 | −0.557438 | ||||||||
\(576\) | 0.853388 | − | 4.83981i | 0.0355578 | − | 0.201659i | ||||
\(577\) | 2.21120 | 0.0920535 | 0.0460267 | − | 0.998940i | \(-0.485344\pi\) | ||||
0.0460267 | + | 0.998940i | \(0.485344\pi\) | |||||||
\(578\) | 18.0646 | + | 31.2889i | 0.751390 | + | 1.30145i | ||||
\(579\) | −16.3687 | + | 2.88624i | −0.680260 | + | 0.119948i | ||||
\(580\) | 11.7344 | − | 20.3246i | 0.487245 | − | 0.843934i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 54.0014 | − | 9.52190i | 2.23843 | − | 0.394696i | ||||
\(583\) | −14.1420 | − | 24.4947i | −0.585703 | − | 1.01447i | ||||
\(584\) | 78.0420 | 3.22940 | ||||||||
\(585\) | 13.5192 | − | 4.92058i | 0.558950 | − | 0.203441i | ||||
\(586\) | 21.3182 | 0.880647 | ||||||||
\(587\) | 12.1049 | + | 20.9663i | 0.499622 | + | 0.865371i | 1.00000 | 0.000436347i | \(-0.000138894\pi\) | |
−0.500378 | + | 0.865807i | \(0.666806\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5.49138 | − | 9.51135i | 0.226268 | − | 0.391908i | ||||
\(590\) | 7.41534 | − | 12.8438i | 0.305285 | − | 0.528769i | ||||
\(591\) | 9.26295 | + | 11.0391i | 0.381027 | + | 0.454090i | ||||
\(592\) | 15.1163 | + | 26.1823i | 0.621277 | + | 1.07608i | ||||
\(593\) | −12.2385 | −0.502577 | −0.251288 | − | 0.967912i | \(-0.580854\pi\) | ||||
−0.251288 | + | 0.967912i | \(0.580854\pi\) | |||||||
\(594\) | − | 51.0415i | − | 2.09426i | ||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 33.4295 | + | 57.9016i | 1.36932 | + | 2.37174i | ||||
\(597\) | −7.34389 | − | 8.75211i | −0.300566 | − | 0.358200i | ||||
\(598\) | −21.8346 | + | 37.8186i | −0.892882 | + | 1.54652i | ||||
\(599\) | −19.8084 | + | 34.3092i | −0.809349 | + | 1.40183i | 0.103966 | + | 0.994581i | \(0.466847\pi\) |
−0.913315 | + | 0.407253i | \(0.866487\pi\) | |||||||
\(600\) | −15.2888 | + | 42.0056i | −0.624163 | + | 1.71487i | ||||
\(601\) | −15.0039 | − | 25.9875i | −0.612021 | − | 1.06005i | −0.990899 | − | 0.134605i | \(-0.957024\pi\) |
0.378879 | − | 0.925446i | \(-0.376310\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 6.79813 | + | 5.70431i | 0.276841 | + | 0.232298i | ||||
\(604\) | −83.6255 | −3.40267 | ||||||||
\(605\) | −1.78059 | − | 3.08408i | −0.0723914 | − | 0.125386i | ||||
\(606\) | −41.9680 | + | 7.40008i | −1.70483 | + | 0.300608i | ||||
\(607\) | −9.74216 | + | 16.8739i | −0.395422 | + | 0.684891i | −0.993155 | − | 0.116804i | \(-0.962735\pi\) |
0.597733 | + | 0.801695i | \(0.296068\pi\) | |||||||
\(608\) | 5.54189 | − | 9.59883i | 0.224753 | − | 0.389284i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.89053 | − | 5.00654i | −0.117034 | − | 0.202709i | ||||
\(611\) | 5.57491 | 0.225537 | ||||||||
\(612\) | 16.7554 | + | 14.0594i | 0.677296 | + | 0.568318i | ||||
\(613\) | −18.5276 | −0.748325 | −0.374162 | − | 0.927363i | \(-0.622070\pi\) | ||||
−0.374162 | + | 0.927363i | \(0.622070\pi\) | |||||||
\(614\) | −16.0633 | − | 27.8225i | −0.648262 | − | 1.12282i | ||||
\(615\) | 0.617211 | − | 1.69577i | 0.0248884 | − | 0.0683802i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −13.9201 | + | 24.1103i | −0.560402 | + | 0.970644i | 0.437059 | + | 0.899433i | \(0.356020\pi\) |
−0.997461 | + | 0.0712118i | \(0.977313\pi\) | |||||||
\(618\) | −18.5954 | − | 22.1611i | −0.748016 | − | 0.891451i | ||||
\(619\) | −22.4907 | − | 38.9550i | −0.903976 | − | 1.56573i | −0.822286 | − | 0.569075i | \(-0.807301\pi\) |
−0.0816906 | − | 0.996658i | \(-0.526032\pi\) | |||||||
\(620\) | 17.6682 | 0.709571 | ||||||||
\(621\) | − | 16.4329i | − | 0.659428i | ||||||
\(622\) | 41.7547 | 1.67421 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 40.3032 | + | 48.0315i | 1.61342 | + | 1.92280i | ||||
\(625\) | −6.99912 | + | 12.1228i | −0.279965 | + | 0.484913i | ||||
\(626\) | 36.1057 | − | 62.5368i | 1.44307 | − | 2.49947i | ||||
\(627\) | −5.54189 | + | 15.2262i | −0.221322 | + | 0.608076i | ||||
\(628\) | −39.8298 | − | 68.9873i | −1.58938 | − | 2.75289i | ||||
\(629\) | 7.52704 | 0.300123 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 9.43613 | 0.375646 | 0.187823 | − | 0.982203i | \(-0.439857\pi\) | ||||
0.187823 | + | 0.982203i | \(0.439857\pi\) | |||||||
\(632\) | 18.1903 | + | 31.5065i | 0.723572 | + | 1.25326i | ||||
\(633\) | 5.74763 | − | 1.01346i | 0.228448 | − | 0.0402815i | ||||
\(634\) | 32.7841 | − | 56.7836i | 1.30202 | − | 2.25517i | ||||
\(635\) | −7.76217 | + | 13.4445i | −0.308032 | + | 0.533528i | ||||
\(636\) | −54.8624 | + | 9.67372i | −2.17543 | + | 0.383588i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −59.4252 | −2.35267 | ||||||||
\(639\) | 1.91710 | − | 10.8724i | 0.0758393 | − | 0.430106i | ||||
\(640\) | −11.7314 | −0.463725 | ||||||||
\(641\) | −18.6951 | − | 32.3808i | −0.738410 | − | 1.27896i | −0.953211 | − | 0.302306i | \(-0.902243\pi\) |
0.214800 | − | 0.976658i | \(-0.431090\pi\) | |||||||
\(642\) | 3.58378 | − | 9.84635i | 0.141440 | − | 0.388604i | ||||
\(643\) | 0.805874 | − | 1.39581i | 0.0317806 | − | 0.0550456i | −0.849698 | − | 0.527270i | \(-0.823216\pi\) |
0.881478 | + | 0.472225i | \(0.156549\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0.180922 | + | 0.215615i | 0.00712380 | + | 0.00848982i | ||||
\(646\) | −5.04576 | − | 8.73951i | −0.198523 | − | 0.343851i | ||||
\(647\) | 41.1762 | 1.61880 | 0.809402 | − | 0.587255i | \(-0.199791\pi\) | ||||
0.809402 | + | 0.587255i | \(0.199791\pi\) | |||||||
\(648\) | −51.6404 | − | 18.7956i | −2.02863 | − | 0.738360i | ||||
\(649\) | −25.8384 | −1.01425 | ||||||||
\(650\) | 29.1819 | + | 50.5445i | 1.14461 | + | 1.98252i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.11334 | + | 3.66041i | −0.0827648 | + | 0.143353i | ||||
\(653\) | −1.52600 | + | 2.64310i | −0.0597169 | + | 0.103433i | −0.894338 | − | 0.447391i | \(-0.852353\pi\) |
0.834621 | + | 0.550824i | \(0.185686\pi\) | |||||||
\(654\) | 5.93717 | − | 16.3122i | 0.232162 | − | 0.637859i | ||||
\(655\) | −8.44104 | − | 14.6203i | −0.329819 | − | 0.571263i | ||||
\(656\) | 7.86484 | 0.307070 | ||||||||
\(657\) | −6.65822 | + | 37.7607i | −0.259762 | + | 1.47318i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −20.8175 | − | 36.0569i | −0.810934 | − | 1.40458i | −0.912211 | − | 0.409721i | \(-0.865626\pi\) |
0.101277 | − | 0.994858i | \(-0.467707\pi\) | |||||||
\(660\) | −25.6707 | + | 4.52644i | −0.999231 | + | 0.176191i | ||||
\(661\) | 10.1505 | − | 17.5812i | 0.394808 | − | 0.683828i | −0.598269 | − | 0.801296i | \(-0.704144\pi\) |
0.993077 | + | 0.117468i | \(0.0374778\pi\) | |||||||
\(662\) | −10.4055 | + | 18.0229i | −0.404423 | + | 0.700481i | ||||
\(663\) | 15.3735 | − | 2.71075i | 0.597056 | − | 0.105277i | ||||
\(664\) | −0.668434 | − | 1.15776i | −0.0259403 | − | 0.0449298i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −32.5099 | + | 11.8326i | −1.25973 | + | 0.458505i | ||||
\(667\) | −19.1320 | −0.740793 | ||||||||
\(668\) | 43.7584 | + | 75.7917i | 1.69306 | + | 2.93247i | ||||
\(669\) | 3.71806 | − | 10.2153i | 0.143749 | − | 0.394946i | ||||
\(670\) | 3.29339 | − | 5.70431i | 0.127235 | − | 0.220377i | ||||
\(671\) | −5.03596 | + | 8.72254i | −0.194411 | + | 0.336730i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 0.415345 | + | 0.719398i | 0.0160104 | + | 0.0277307i | 0.873920 | − | 0.486071i | \(-0.161570\pi\) |
−0.857909 | + | 0.513801i | \(0.828237\pi\) | |||||||
\(674\) | 11.5749 | 0.445849 | ||||||||
\(675\) | −19.0201 | − | 10.9812i | −0.732083 | − | 0.422668i | ||||
\(676\) | 73.8444 | 2.84017 | ||||||||
\(677\) | 5.43360 | + | 9.41127i | 0.208830 | + | 0.361705i | 0.951346 | − | 0.308124i | \(-0.0997011\pi\) |
−0.742516 | + | 0.669828i | \(0.766368\pi\) | |||||||
\(678\) | 46.3833 | + | 55.2775i | 1.78134 | + | 2.12292i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 4.43717 | − | 7.68540i | 0.170158 | − | 0.294722i | ||||
\(681\) | 3.65064 | − | 10.0301i | 0.139893 | − | 0.384353i | ||||
\(682\) | −22.3687 | − | 38.7437i | −0.856542 | − | 1.48357i | ||||
\(683\) | 32.6946 | 1.25102 | 0.625512 | − | 0.780215i | \(-0.284890\pi\) | ||||
0.625512 | + | 0.780215i | \(0.284890\pi\) | |||||||
\(684\) | 24.4479 | + | 20.5142i | 0.934789 | + | 0.784381i | ||||
\(685\) | 15.9659 | 0.610024 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 39.8888 | − | 7.03347i | 1.52185 | − | 0.268344i | ||||
\(688\) | −0.613341 | + | 1.06234i | −0.0233834 | + | 0.0405012i | ||||
\(689\) | −19.8799 | + | 34.4329i | −0.757362 | + | 1.31179i | ||||
\(690\) | −12.0116 | + | 2.11797i | −0.457274 | + | 0.0806298i | ||||
\(691\) | 7.49912 | + | 12.9889i | 0.285280 | + | 0.494120i | 0.972677 | − | 0.232162i | \(-0.0745801\pi\) |
−0.687397 | + | 0.726282i | \(0.741247\pi\) | |||||||
\(692\) | −100.064 | −3.80387 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 56.8863 | 2.15937 | ||||||||
\(695\) | 9.69846 | + | 16.7982i | 0.367884 | + | 0.637193i | ||||
\(696\) | −21.8828 | + | 60.1225i | −0.829465 | + | 2.27894i | ||||
\(697\) | 0.979055 | − | 1.69577i | 0.0370844 | − | 0.0642320i | ||||
\(698\) | 33.0428 | − | 57.2318i | 1.25069 | − | 2.16626i | ||||
\(699\) | −9.49154 | − | 11.3116i | −0.359003 | − | 0.427843i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 26.4688 | 0.999714 | 0.499857 | − | 0.866108i | \(-0.333386\pi\) | ||||
0.499857 | + | 0.866108i | \(0.333386\pi\) | |||||||
\(702\) | −62.1378 | + | 35.8753i | −2.34524 | + | 1.35403i | ||||
\(703\) | 10.9828 | 0.414223 | ||||||||
\(704\) | 3.17752 | + | 5.50362i | 0.119757 | + | 0.207426i | ||||
\(705\) | 1.00088 | + | 1.19280i | 0.0376952 | + | 0.0449234i | ||||
\(706\) | −0.449493 | + | 0.778544i | −0.0169169 | + | 0.0293009i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −17.4060 | + | 47.8226i | −0.654158 | + | 1.79728i | ||||
\(709\) | −7.68004 | − | 13.3022i | −0.288430 | − | 0.499576i | 0.685005 | − | 0.728538i | \(-0.259800\pi\) |
−0.973435 | + | 0.228963i | \(0.926467\pi\) | |||||||
\(710\) | −8.19429 | −0.307526 | ||||||||
\(711\) | −16.7964 | + | 6.11338i | −0.629913 | + | 0.229270i | ||||
\(712\) | −67.3337 | −2.52344 | ||||||||
\(713\) | −7.20162 | − | 12.4736i | −0.269703 | − | 0.467139i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −9.30200 | + | 16.1115i | −0.347875 | + | 0.602538i | ||||
\(716\) | 16.2062 | − | 28.0700i | 0.605654 | − | 1.04902i | ||||
\(717\) | −24.8391 | + | 4.37981i | −0.927635 | + | 0.163567i | ||||
\(718\) | −6.90760 | − | 11.9643i | −0.257789 | − | 0.446504i | ||||
\(719\) | −26.7306 | −0.996883 | −0.498442 | − | 0.866923i | \(-0.666094\pi\) | ||||
−0.498442 | + | 0.866923i | \(0.666094\pi\) | |||||||
\(720\) | −3.04101 | + | 17.2464i | −0.113332 | + | 0.642737i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 16.6925 | + | 28.9123i | 0.621232 | + | 1.07600i | ||||
\(723\) | 3.20115 | − | 8.79509i | 0.119052 | − | 0.327093i | ||||
\(724\) | −7.60014 | + | 13.1638i | −0.282457 | + | 0.489230i | ||||
\(725\) | −12.7849 | + | 22.1441i | −0.474820 | + | 0.822413i | ||||
\(726\) | 11.4162 | + | 13.6053i | 0.423696 | + | 0.504941i | ||||
\(727\) | −22.8221 | − | 39.5290i | −0.846424 | − | 1.46605i | −0.884379 | − | 0.466770i | \(-0.845418\pi\) |
0.0379552 | − | 0.999279i | \(-0.487916\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 13.5000 | − | 23.3827i | 0.500000 | − | 0.866025i | ||||
\(730\) | 28.4593 | 1.05333 | ||||||||
\(731\) | 0.152704 | + | 0.264490i | 0.00564795 | + | 0.00978253i | ||||
\(732\) | 12.7515 | + | 15.1966i | 0.471309 | + | 0.561684i | ||||
\(733\) | 2.98751 | − | 5.17452i | 0.110346 | − | 0.191125i | −0.805564 | − | 0.592509i | \(-0.798137\pi\) |
0.915910 | + | 0.401384i | \(0.131471\pi\) | |||||||
\(734\) | 13.8302 | − | 23.9546i | 0.510483 | − | 0.884182i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −7.26786 | − | 12.5883i | −0.267897 | − | 0.464011i | ||||
\(737\) | −11.4757 | −0.422711 | ||||||||
\(738\) | −1.56283 | + | 8.86327i | −0.0575287 | + | 0.326261i | ||||
\(739\) | −35.5963 | −1.30943 | −0.654715 | − | 0.755876i | \(-0.727211\pi\) | ||||
−0.654715 | + | 0.755876i | \(0.727211\pi\) | |||||||
\(740\) | 8.83409 | + | 15.3011i | 0.324748 | + | 0.562480i | ||||
\(741\) | 22.4315 | − | 3.95529i | 0.824043 | − | 0.145301i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 14.6544 | − | 25.3821i | 0.537616 | − | 0.931178i | −0.461416 | − | 0.887184i | \(-0.652658\pi\) |
0.999032 | − | 0.0439943i | \(-0.0140083\pi\) | |||||||
\(744\) | −47.4354 | + | 8.36414i | −1.73907 | + | 0.306644i | ||||
\(745\) | 6.66385 | + | 11.5421i | 0.244145 | + | 0.422871i | ||||
\(746\) | 4.38413 | 0.160515 | ||||||||
\(747\) | 0.617211 | − | 0.224647i | 0.0225826 | − | 0.00821939i | ||||
\(748\) | −28.2841 | −1.03417 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −12.1707 | + | 33.4388i | −0.444412 | + | 1.22101i | ||||
\(751\) | 8.66684 | − | 15.0114i | 0.316258 | − | 0.547774i | −0.663446 | − | 0.748224i | \(-0.730907\pi\) |
0.979704 | + | 0.200450i | \(0.0642403\pi\) | |||||||
\(752\) | −3.39306 | + | 5.87695i | −0.123732 | + | 0.214310i | ||||
\(753\) | 13.4345 | + | 16.0107i | 0.489582 | + | 0.583461i | ||||
\(754\) | 41.7679 | + | 72.3440i | 1.52110 | + | 2.63461i | ||||
\(755\) | −16.6699 | −0.606681 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −2.77156 | −0.100734 | −0.0503671 | − | 0.998731i | \(-0.516039\pi\) | ||||
−0.0503671 | + | 0.998731i | \(0.516039\pi\) | |||||||
\(758\) | 15.3614 | + | 26.6068i | 0.557952 | + | 0.966402i | ||||
\(759\) | 13.6591 | + | 16.2783i | 0.495794 | + | 0.590864i | ||||
\(760\) | 6.47431 | − | 11.2138i | 0.234848 | − | 0.406768i | ||||
\(761\) | 3.75372 | − | 6.50163i | 0.136072 | − | 0.235684i | −0.789934 | − | 0.613191i | \(-0.789885\pi\) |
0.926007 | + | 0.377508i | \(0.123219\pi\) | |||||||
\(762\) | 26.4805 | − | 72.7545i | 0.959286 | − | 2.63562i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 24.9590 | 0.902987 | ||||||||
\(765\) | 3.34002 | + | 2.80261i | 0.120759 | + | 0.101329i | ||||
\(766\) | 22.0591 | 0.797029 | ||||||||
\(767\) | 18.1609 | + | 31.4556i | 0.655752 | + | 1.13580i | ||||
\(768\) | 52.0301 | − | 9.17431i | 1.87747 | − | 0.331049i | ||||
\(769\) | 1.02182 | − | 1.76985i | 0.0368478 | − | 0.0638223i | −0.847013 | − | 0.531572i | \(-0.821602\pi\) |
0.883861 | + | 0.467749i | \(0.154935\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 18.0232 | − | 3.17798i | 0.649090 | − | 0.114452i | ||||
\(772\) | −21.1668 | − | 36.6620i | −0.761811 | − | 1.31950i | ||||
\(773\) | 24.9418 | 0.897094 | 0.448547 | − | 0.893759i | \(-0.351942\pi\) | ||||
0.448547 | + | 0.893759i | \(0.351942\pi\) | |||||||
\(774\) | −1.07532 | − | 0.902302i | −0.0386517 | − | 0.0324326i | ||||
\(775\) | −19.2499 | −0.691477 | ||||||||
\(776\) | 38.1721 | + | 66.1159i | 1.37030 | + | 2.37342i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −4.61246 | + | 7.98902i | −0.165365 | + | 0.286420i | ||||
\(779\) | 1.42855 | − | 2.47432i | 0.0511831 | − | 0.0886516i | ||||
\(780\) | 23.5535 | + | 28.0700i | 0.843351 | + | 1.00507i | ||||
\(781\) | 7.13816 | + | 12.3636i | 0.255423 | + | 0.442406i | ||||
\(782\) | −13.2344 | −0.473262 | ||||||||
\(783\) | −27.2233 | − | 15.7174i | −0.972883 | − | 0.561694i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −7.93969 | − | 13.7520i | −0.283380 | − | 0.490828i | ||||
\(786\) | 54.1195 | + | 64.4971i | 1.93038 | + | 2.30054i | ||||
\(787\) | 3.55350 | − | 6.15484i | 0.126669 | − | 0.219396i | −0.795715 | − | 0.605671i | \(-0.792905\pi\) |
0.922384 | + | 0.386274i | \(0.126238\pi\) | |||||||
\(788\) | −18.3516 | + | 31.7860i | −0.653750 | + | 1.13233i | ||||
\(789\) | −16.7964 | + | 46.1477i | −0.597967 | + | 1.64290i | ||||
\(790\) | 6.63341 | + | 11.4894i | 0.236006 | + | 0.408774i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 66.7777 | − | 24.3051i | 2.37284 | − | 0.863644i | ||||
\(793\) | 14.1584 | 0.502779 | ||||||||
\(794\) | −19.5548 | − | 33.8700i | −0.693975 | − | 1.20200i | ||||
\(795\) | −10.9363 | + | 1.92836i | −0.387870 | + | 0.0683920i | ||||
\(796\) | 14.5496 | − | 25.2007i | 0.515698 | − | 0.893215i | ||||
\(797\) | 16.8314 | − | 29.1528i | 0.596199 | − | 1.03265i | −0.397178 | − | 0.917742i | \(-0.630010\pi\) |
0.993376 | − | 0.114905i | \(-0.0366564\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.844770 | + | 1.46318i | 0.0298858 | + | 0.0517638i | ||||
\(800\) | −19.4270 | −0.686847 | ||||||||
\(801\) | 5.74463 | − | 32.5794i | 0.202977 | − | 1.15114i | ||||
\(802\) | 46.6459 | 1.64712 | ||||||||
\(803\) | −24.7913 | − | 42.9398i | −0.874867 | − | 1.51531i | ||||
\(804\) | −7.73055 | + | 21.2395i | −0.272636 | + | 0.749060i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −31.4443 | + | 54.4632i | −1.10758 | + | 1.91838i | ||||
\(807\) | −8.33157 | − | 9.92917i | −0.293285 | − | 0.349523i | ||||
\(808\) | −29.6660 | − | 51.3830i | −1.04364 | − | 1.80765i | ||||
\(809\) | −12.8161 | −0.450592 | −0.225296 | − | 0.974290i | \(-0.572335\pi\) | ||||
−0.225296 | + | 0.974290i | \(0.572335\pi\) | |||||||
\(810\) | −18.8316 | − | 6.85413i | −0.661674 | − | 0.240830i | ||||
\(811\) | 26.1239 | 0.917335 | 0.458667 | − | 0.888608i | \(-0.348327\pi\) | ||||
0.458667 | + | 0.888608i | \(0.348327\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −15.1839 | − | 18.0955i | −0.532523 | − | 0.634636i | ||||
\(814\) | 22.3687 | − | 38.7437i | 0.784023 | − | 1.35797i | ||||
\(815\) | −0.421274 | + | 0.729669i | −0.0147566 | + | 0.0255592i | ||||
\(816\) | −6.49912 | + | 17.8562i | −0.227515 | + | 0.625092i | ||||
\(817\) | 0.222811 | + | 0.385920i | 0.00779518 | + | 0.0135016i | ||||
\(818\) | 72.5099 | 2.53525 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 4.59627 | 0.160509 | ||||||||
\(821\) | −13.8320 | − | 23.9578i | −0.482741 | − | 0.836132i | 0.517062 | − | 0.855948i | \(-0.327026\pi\) |
−0.999804 | + | 0.0198153i | \(0.993692\pi\) | |||||||
\(822\) | −78.4159 | + | 13.8268i | −2.73507 | + | 0.482266i | ||||
\(823\) | −13.9162 | + | 24.1036i | −0.485089 | + | 0.840199i | −0.999853 | − | 0.0171330i | \(-0.994546\pi\) |
0.514764 | + | 0.857332i | \(0.327879\pi\) | |||||||
\(824\) | 20.1386 | − | 34.8811i | 0.701562 | − | 1.21514i | ||||
\(825\) | 27.9688 | − | 4.93166i | 0.973750 | − | 0.171698i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 4.65507 | 0.161873 | 0.0809363 | − | 0.996719i | \(-0.474209\pi\) | ||||
0.0809363 | + | 0.996719i | \(0.474209\pi\) | |||||||
\(828\) | 39.3298 | − | 14.3149i | 1.36681 | − | 0.497476i | ||||
\(829\) | 9.97359 | 0.346397 | 0.173199 | − | 0.984887i | \(-0.444590\pi\) | ||||
0.173199 | + | 0.984887i | \(0.444590\pi\) | |||||||
\(830\) | −0.243756 | − | 0.422197i | −0.00846089 | − | 0.0146547i | ||||
\(831\) | −3.64362 | + | 10.0108i | −0.126396 | + | 0.347269i | ||||
\(832\) | 4.46673 | − | 7.73660i | 0.154856 | − | 0.268218i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −62.1814 | − | 74.1050i | −2.15317 | − | 2.56604i | ||||
\(835\) | 8.72281 | + | 15.1084i | 0.301865 | + | 0.522846i | ||||
\(836\) | −41.2695 | −1.42734 | ||||||||
\(837\) | − | 23.6652i | − | 0.817990i | ||||||
\(838\) | 87.8522 | 3.03480 | ||||||||
\(839\) | −3.36484 | − | 5.82807i | −0.116167 | − | 0.201207i | 0.802079 | − | 0.597218i | \(-0.203727\pi\) |
−0.918246 | + | 0.396011i | \(0.870394\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.79901 | + | 6.58008i | −0.131000 | + | 0.226899i | ||||
\(842\) | 34.6921 | − | 60.0885i | 1.19557 | − | 2.07079i | ||||
\(843\) | 1.96214 | − | 5.39094i | 0.0675798 | − | 0.185674i | ||||
\(844\) | 7.43242 | + | 12.8733i | 0.255834 | + | 0.443118i | ||||
\(845\) | 14.7202 | 0.506390 | ||||||||
\(846\) | −5.94878 | − | 4.99162i | −0.204523 | − | 0.171615i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −24.1989 | − | 41.9138i | −0.830995 | − | 1.43932i | ||||
\(849\) | 49.5060 | − | 8.72924i | 1.69904 | − | 0.299587i | ||||
\(850\) | −8.84389 | + | 15.3181i | −0.303343 | + | 0.525406i | ||||
\(851\) | 7.20162 | − | 12.4736i | 0.246868 | − | 0.427588i | ||||
\(852\) | 27.6917 | − | 4.88279i | 0.948701 | − | 0.167281i | ||||
\(853\) | 2.89528 | + | 5.01477i | 0.0991324 | + | 0.171702i | 0.911326 | − | 0.411686i | \(-0.135060\pi\) |
−0.812193 | + | 0.583388i | \(0.801727\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 4.87346 | + | 4.08931i | 0.166669 | + | 0.139852i | ||||
\(856\) | 14.5885 | 0.498626 | ||||||||
\(857\) | −17.4538 | − | 30.2309i | −0.596211 | − | 1.03267i | −0.993375 | − | 0.114921i | \(-0.963339\pi\) |
0.397163 | − | 0.917748i | \(-0.369995\pi\) | |||||||
\(858\) | 31.7335 | − | 87.1872i | 1.08337 | − | 2.97652i | ||||
\(859\) | −6.30747 | + | 10.9249i | −0.215208 | + | 0.372751i | −0.953337 | − | 0.301909i | \(-0.902376\pi\) |
0.738129 | + | 0.674660i | \(0.235710\pi\) | |||||||
\(860\) | −0.358441 | + | 0.620838i | −0.0122227 | + | 0.0211704i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −33.6668 | − | 58.3127i | −1.14670 | − | 1.98614i | ||||
\(863\) | −24.2053 | −0.823959 | −0.411979 | − | 0.911193i | \(-0.635162\pi\) | ||||
−0.411979 | + | 0.911193i | \(0.635162\pi\) | |||||||
\(864\) | − | 23.8829i | − | 0.812513i | ||||||
\(865\) | −19.9469 | −0.678214 | ||||||||
\(866\) | 47.0754 | + | 81.5369i | 1.59969 | + | 2.77074i | ||||
\(867\) | −15.8858 | − | 18.9319i | −0.539509 | − | 0.642962i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 11.5569 | − | 20.0171i | 0.392041 | − | 0.679035i | ||||
\(870\) | −7.97993 | + | 21.9247i | −0.270545 | + | 0.743316i | ||||
\(871\) | 8.06583 | + | 13.9704i | 0.273300 | + | 0.473370i | ||||
\(872\) | 24.1685 | 0.818448 | ||||||||
\(873\) | −35.2469 | + | 12.8288i | −1.19293 | + | 0.434190i | ||||
\(874\) | −19.3105 | −0.653186 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −96.1751 | + | 16.9583i | −3.24946 | + | 0.572967i | ||||
\(877\) | 0.562834 | − | 0.974856i | 0.0190055 | − | 0.0329186i | −0.856366 | − | 0.516369i | \(-0.827283\pi\) |
0.875372 | + | 0.483450i | \(0.160617\pi\) | |||||||
\(878\) | 31.7456 | − | 54.9849i | 1.07136 | − | 1.85565i | ||||
\(879\) | −14.3610 | + | 2.53223i | −0.484383 | + | 0.0854099i | ||||
\(880\) | −11.3229 | − | 19.6119i | −0.381697 | − | 0.661118i | ||||
\(881\) | 4.38331 | 0.147678 | 0.0738388 | − | 0.997270i | \(-0.476475\pi\) | ||||
0.0738388 | + | 0.997270i | \(0.476475\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −6.88949 | −0.231850 | −0.115925 | − | 0.993258i | \(-0.536983\pi\) | ||||
−0.115925 | + | 0.993258i | \(0.536983\pi\) | |||||||
\(884\) | 19.8799 | + | 34.4329i | 0.668632 | + | 1.15810i | ||||
\(885\) | −3.46972 | + | 9.53298i | −0.116633 | + | 0.320448i | ||||
\(886\) | −2.58853 | + | 4.48346i | −0.0869632 | + | 0.150625i | ||||
\(887\) | 19.5376 | − | 33.8401i | 0.656009 | − | 1.13624i | −0.325631 | − | 0.945497i | \(-0.605577\pi\) |
0.981640 | − | 0.190744i | \(-0.0610899\pi\) | |||||||
\(888\) | −30.9613 | − | 36.8982i | −1.03899 | − | 1.23822i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −24.5544 | −0.823065 | ||||||||
\(891\) | 6.06283 | + | 34.3840i | 0.203113 | + | 1.15191i | ||||
\(892\) | 27.6878 | 0.927056 | ||||||||
\(893\) | 1.23261 | + | 2.13495i | 0.0412478 | + | 0.0714432i | ||||
\(894\) | −42.7251 | − | 50.9178i | −1.42894 | − | 1.70295i | ||||
\(895\) | 3.23055 | − | 5.59548i | 0.107985 | − | 0.187036i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 10.2166 | − | 28.0700i | 0.341123 | − | 0.937229i | ||||
\(898\) | 12.9572 | + | 22.4426i | 0.432388 | + | 0.748919i | ||||
\(899\) | −27.5523 | −0.918921 | ||||||||
\(900\) | 9.71348 | − | 55.0879i | 0.323783 | − | 1.83626i | ||||
\(901\) | −12.0496 | −0.401431 | ||||||||
\(902\) | −5.81908 | − | 10.0789i | −0.193754 | − | 0.335592i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −50.2327 | + | 87.0055i | −1.67071 | + | 2.89376i | ||||
\(905\) | −1.51501 | + | 2.62408i | −0.0503608 | + | 0.0872275i | ||||
\(906\) | 81.8740 | − | 14.4366i | 2.72008 | − | 0.479624i | ||||
\(907\) | −21.2469 | − | 36.8007i | −0.705492 | − | 1.22195i | −0.966514 | − | 0.256615i | \(-0.917393\pi\) |
0.261022 | − | 0.965333i | \(-0.415941\pi\) | |||||||
\(908\) | 27.1857 | 0.902190 | ||||||||
\(909\) | 27.3926 | − | 9.97011i | 0.908557 | − | 0.330688i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 7.74675 | + | 13.4178i | 0.256661 | + | 0.444550i | 0.965345 | − | 0.260976i | \(-0.0840442\pi\) |
−0.708684 | + | 0.705526i | \(0.750711\pi\) | |||||||
\(912\) | −9.48293 | + | 26.0541i | −0.314011 | + | 0.862738i | ||||
\(913\) | −0.424678 | + | 0.735564i | −0.0140548 | + | 0.0243436i | ||||
\(914\) | 53.9265 | − | 93.4035i | 1.78373 | − | 3.08951i | ||||
\(915\) | 2.54189 | + | 3.02931i | 0.0840323 | + | 0.100146i | ||||
\(916\) | 51.5813 | + | 89.3414i | 1.70429 | + | 2.95192i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −18.8316 | − | 10.8724i | −0.621534 | − | 0.358843i | ||||
\(919\) | 6.52940 | 0.215385 | 0.107693 | − | 0.994184i | \(-0.465654\pi\) | ||||
0.107693 | + | 0.994184i | \(0.465654\pi\) | |||||||
\(920\) | −8.49067 | − | 14.7063i | −0.279929 | − | 0.484851i | ||||
\(921\) | 14.1258 | + | 16.8345i | 0.465462 | + | 0.554716i | ||||
\(922\) | 0.639033 | − | 1.10684i | 0.0210454 | − | 0.0364518i | ||||
\(923\) | 10.0343 | − | 17.3799i | 0.330283 | − | 0.572068i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −9.62495 | − | 16.6709i | −0.316466 | − | 0.548136i | ||||
\(926\) | 6.78611 | 0.223005 | ||||||||
\(927\) | 15.1591 | + | 12.7200i | 0.497890 | + | 0.417779i | ||||
\(928\) | −27.8057 | −0.912767 | ||||||||
\(929\) | 29.1386 | + | 50.4696i | 0.956007 | + | 1.65585i | 0.732046 | + | 0.681255i | \(0.238565\pi\) |
0.223961 | + | 0.974598i | \(0.428101\pi\) | |||||||
\(930\) | −17.2981 | + | 3.05013i | −0.567228 | + | 0.100018i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 18.8045 | − | 32.5704i | 0.615963 | − | 1.06688i | ||||
\(933\) | −28.1279 | + | 4.95972i | −0.920868 | + | 0.162374i | ||||
\(934\) | −39.7747 | − | 68.8918i | −1.30147 | − | 2.25421i | ||||
\(935\) | −5.63816 | −0.184387 | ||||||||
\(936\) | −76.5246 | − | 64.2118i | −2.50129 | − | 2.09883i | ||||
\(937\) | −32.4175 | −1.05903 | −0.529516 | − | 0.848300i | \(-0.677626\pi\) | ||||
−0.529516 | + | 0.848300i | \(0.677626\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −16.8942 | + | 46.4165i | −0.551323 | + | 1.51475i | ||||
\(940\) | −1.98293 | + | 3.43453i | −0.0646759 | + | 0.112022i | ||||
\(941\) | −13.6613 | + | 23.6621i | −0.445346 | + | 0.771363i | −0.998076 | − | 0.0619979i | \(-0.980253\pi\) |
0.552730 | + | 0.833360i | \(0.313586\pi\) | |||||||
\(942\) | 50.9051 | + | 60.6664i | 1.65858 | + | 1.97662i | ||||
\(943\) | −1.87346 | − | 3.24492i | −0.0610081 | − | 0.105669i | ||||
\(944\) | −44.2131 | −1.43901 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.81521 | 0.0590175 | ||||||||
\(947\) | 19.1065 | + | 33.0935i | 0.620879 | + | 1.07539i | 0.989322 | + | 0.145744i | \(0.0465575\pi\) |
−0.368443 | + | 0.929650i | \(0.620109\pi\) | |||||||
\(948\) | −29.2631 | − | 34.8744i | −0.950422 | − | 1.13267i | ||||
\(949\) | −34.8499 | + | 60.3618i | −1.13127 | + | 1.95943i | ||||
\(950\) | −12.9042 | + | 22.3507i | −0.418668 | + | 0.725153i | ||||
\(951\) | −15.3400 | + | 42.1464i | −0.497434 | + | 1.36669i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 58.9377 | 1.90918 | 0.954590 | − | 0.297924i | \(-0.0962943\pi\) | ||||
0.954590 | + | 0.297924i | \(0.0962943\pi\) | |||||||
\(954\) | 52.0433 | − | 18.9422i | 1.68496 | − | 0.613277i | ||||
\(955\) | 4.97535 | 0.160998 | ||||||||
\(956\) | −32.1202 | − | 55.6338i | −1.03884 | − | 1.79933i | ||||
\(957\) | 40.0317 | − | 7.05866i | 1.29404 | − | 0.228174i | ||||
\(958\) | −20.8145 | + | 36.0518i | −0.672486 | + | 1.16478i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 2.45723 | − | 0.433277i | 0.0793069 | − | 0.0139839i | ||||
\(961\) | 5.12882 | + | 8.88338i | 0.165446 | + | 0.286561i | ||||
\(962\) | −62.8887 | −2.02761 | ||||||||
\(963\) | −1.24463 | + | 7.05866i | −0.0401077 | + | 0.227462i | ||||
\(964\) | 23.8384 | 0.767784 | ||||||||
\(965\) | −4.21941 | − | 7.30823i | −0.135828 | − | 0.235260i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −12.3594 | + | 21.4071i | −0.397451 | + | 0.688405i | −0.993411 | − | 0.114609i | \(-0.963438\pi\) |
0.595960 | + | 0.803014i | \(0.296772\pi\) | |||||||
\(968\) | −12.3637 | + | 21.4145i | −0.397383 | + | 0.688287i | ||||
\(969\) | 4.43717 | + | 5.28801i | 0.142542 | + | 0.169875i | ||||
\(970\) | 13.9201 | + | 24.1103i | 0.446947 | + | 0.774135i | ||||
\(971\) | −8.17623 | −0.262388 | −0.131194 | − | 0.991357i | \(-0.541881\pi\) | ||||
−0.131194 | + | 0.991357i | \(0.541881\pi\) | |||||||
\(972\) | 67.7233 | + | 11.9415i | 2.17223 | + | 0.383022i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 3.76692 | + | 6.52450i | 0.120700 | + | 0.209058i | ||||
\(975\) | −25.6621 | − | 30.5829i | −0.821845 | − | 0.979436i | ||||
\(976\) | −8.61721 | + | 14.9254i | −0.275830 | + | 0.477752i | ||||
\(977\) | 7.92427 | − | 13.7252i | 0.253520 | − | 0.439109i | −0.710973 | − | 0.703220i | \(-0.751745\pi\) |
0.964492 | + | 0.264111i | \(0.0850784\pi\) | |||||||
\(978\) | 1.43717 | − | 3.94858i | 0.0459555 | − | 0.126262i | ||||
\(979\) | 21.3897 | + | 37.0480i | 0.683616 | + | 1.18406i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −2.06196 | + | 11.6939i | −0.0658332 | + | 0.373359i | ||||
\(982\) | −67.0651 | −2.14013 | ||||||||
\(983\) | 26.6532 | + | 46.1646i | 0.850104 | + | 1.47242i | 0.881114 | + | 0.472904i | \(0.156794\pi\) |
−0.0310096 | + | 0.999519i | \(0.509872\pi\) | |||||||
\(984\) | −12.3400 | + | 2.17588i | −0.393386 | + | 0.0693645i | ||||
\(985\) | −3.65822 | + | 6.33623i | −0.116561 | + | 0.201889i | ||||
\(986\) | −12.6582 | + | 21.9247i | −0.403120 | + | 0.698224i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 29.0069 | + | 50.2414i | 0.922831 | + | 1.59839i | ||||
\(989\) | 0.584407 | 0.0185831 | ||||||||
\(990\) | 24.3516 | − | 8.86327i | 0.773946 | − | 0.281693i | ||||
\(991\) | 40.2094 | 1.27730 | 0.638648 | − | 0.769499i | \(-0.279494\pi\) | ||||
0.638648 | + | 0.769499i | \(0.279494\pi\) | |||||||
\(992\) | −10.4666 | − | 18.1286i | −0.332314 | − | 0.575584i | ||||
\(993\) | 4.86887 | − | 13.3771i | 0.154509 | − | 0.424510i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 2.90033 | − | 5.02352i | 0.0919466 | − | 0.159256i | ||||
\(996\) | 1.07532 | + | 1.28152i | 0.0340729 | + | 0.0406065i | ||||
\(997\) | 14.3601 | + | 24.8724i | 0.454789 | + | 0.787717i | 0.998676 | − | 0.0514412i | \(-0.0163815\pi\) |
−0.543887 | + | 0.839158i | \(0.683048\pi\) | |||||||
\(998\) | −34.0411 | −1.07755 | ||||||||
\(999\) | 20.4947 | − | 11.8326i | 0.648424 | − | 0.374368i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))