Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [209,2,Mod(45,209)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(209, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("209.45");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 209 = 11 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 209.e (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: | \(1.66887340224\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - x^{17} + 14 x^{16} - 11 x^{15} + 130 x^{14} - 92 x^{13} + 629 x^{12} - 276 x^{11} + 2060 x^{10} + \cdots + 9 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 45.9 | ||
Root | \(1.31818 + 2.28316i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 209.45 |
Dual form | 209.2.e.b.144.9 |
$q$-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 \(\left(\mathbb{Z}/209\mathbb{Z}\right)^\times\).
\(n\) | \(78\) | \(134\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.31818 | + | 2.28316i | 0.932097 | + | 1.61444i | 0.779730 | + | 0.626116i | \(0.215356\pi\) |
0.152368 | + | 0.988324i | \(0.451310\pi\) | |||||||
\(3\) | 0.631607 | + | 1.09397i | 0.364658 | + | 0.631607i | 0.988721 | − | 0.149767i | \(-0.0478525\pi\) |
−0.624063 | + | 0.781374i | \(0.714519\pi\) | |||||||
\(4\) | −2.47522 | + | 4.28721i | −1.23761 | + | 2.14361i | ||||
\(5\) | −0.759439 | − | 1.31539i | −0.339631 | − | 0.588259i | 0.644732 | − | 0.764409i | \(-0.276969\pi\) |
−0.984363 | + | 0.176150i | \(0.943636\pi\) | |||||||
\(6\) | −1.66515 | + | 2.88412i | −0.679794 | + | 1.17744i | ||||
\(7\) | 1.94612 | 0.735565 | 0.367783 | − | 0.929912i | \(-0.380117\pi\) | ||||
0.367783 | + | 0.929912i | \(0.380117\pi\) | |||||||
\(8\) | −7.77846 | −2.75010 | ||||||||
\(9\) | 0.702146 | − | 1.21615i | 0.234049 | − | 0.405384i | ||||
\(10\) | 2.00216 | − | 3.46785i | 0.633139 | − | 1.09663i | ||||
\(11\) | −1.00000 | −0.301511 | ||||||||
\(12\) | −6.25347 | −1.80522 | ||||||||
\(13\) | 1.57502 | − | 2.72802i | 0.436832 | − | 0.756616i | −0.560611 | − | 0.828079i | \(-0.689434\pi\) |
0.997443 | + | 0.0714634i | \(0.0227669\pi\) | |||||||
\(14\) | 2.56535 | + | 4.44331i | 0.685618 | + | 1.18753i | ||||
\(15\) | 0.959333 | − | 1.66161i | 0.247699 | − | 0.429027i | ||||
\(16\) | −5.30301 | − | 9.18508i | −1.32575 | − | 2.29627i | ||||
\(17\) | 0.682242 | + | 1.18168i | 0.165468 | + | 0.286599i | 0.936821 | − | 0.349808i | \(-0.113753\pi\) |
−0.771353 | + | 0.636407i | \(0.780420\pi\) | |||||||
\(18\) | 3.70223 | 0.872625 | ||||||||
\(19\) | −3.37174 | + | 2.76249i | −0.773530 | + | 0.633759i | ||||
\(20\) | 7.51912 | 1.68133 | ||||||||
\(21\) | 1.22918 | + | 2.12901i | 0.268230 | + | 0.464588i | ||||
\(22\) | −1.31818 | − | 2.28316i | −0.281038 | − | 0.486772i | ||||
\(23\) | −0.194995 | + | 0.337741i | −0.0406592 | + | 0.0704238i | −0.885639 | − | 0.464375i | \(-0.846279\pi\) |
0.844980 | + | 0.534798i | \(0.179612\pi\) | |||||||
\(24\) | −4.91293 | − | 8.50944i | −1.00285 | − | 1.73698i | ||||
\(25\) | 1.34651 | − | 2.33222i | 0.269301 | − | 0.466443i | ||||
\(26\) | 8.30468 | 1.62868 | ||||||||
\(27\) | 5.56356 | 1.07071 | ||||||||
\(28\) | −4.81709 | + | 8.34344i | −0.910344 | + | 1.57676i | ||||
\(29\) | −0.909673 | + | 1.57560i | −0.168922 | + | 0.292582i | −0.938041 | − | 0.346524i | \(-0.887362\pi\) |
0.769119 | + | 0.639106i | \(0.220695\pi\) | |||||||
\(30\) | 5.05831 | 0.923517 | ||||||||
\(31\) | −7.22870 | −1.29831 | −0.649156 | − | 0.760655i | \(-0.724878\pi\) | ||||
−0.649156 | + | 0.760655i | \(0.724878\pi\) | |||||||
\(32\) | 6.20223 | − | 10.7426i | 1.09641 | − | 1.89904i | ||||
\(33\) | −0.631607 | − | 1.09397i | −0.109949 | − | 0.190437i | ||||
\(34\) | −1.79864 | + | 3.11534i | −0.308465 | + | 0.534276i | ||||
\(35\) | −1.47796 | − | 2.55990i | −0.249821 | − | 0.432703i | ||||
\(36\) | 3.47594 | + | 6.02050i | 0.579323 | + | 1.00342i | ||||
\(37\) | 10.8549 | 1.78454 | 0.892271 | − | 0.451499i | \(-0.149111\pi\) | ||||
0.892271 | + | 0.451499i | \(0.149111\pi\) | |||||||
\(38\) | −10.7518 | − | 4.05676i | −1.74417 | − | 0.658093i | ||||
\(39\) | 3.97918 | 0.637178 | ||||||||
\(40\) | 5.90727 | + | 10.2317i | 0.934021 | + | 1.61777i | ||||
\(41\) | −5.02001 | − | 8.69492i | −0.783994 | − | 1.35792i | −0.929598 | − | 0.368575i | \(-0.879846\pi\) |
0.145604 | − | 0.989343i | \(-0.453487\pi\) | |||||||
\(42\) | −3.24058 | + | 5.61285i | −0.500033 | + | 0.866082i | ||||
\(43\) | 0.249376 | + | 0.431931i | 0.0380294 | + | 0.0658689i | 0.884414 | − | 0.466704i | \(-0.154559\pi\) |
−0.846384 | + | 0.532573i | \(0.821225\pi\) | |||||||
\(44\) | 2.47522 | − | 4.28721i | 0.373154 | − | 0.646321i | ||||
\(45\) | −2.13295 | −0.317961 | ||||||||
\(46\) | −1.02816 | −0.151593 | ||||||||
\(47\) | −5.73507 | + | 9.93343i | −0.836546 | + | 1.44894i | 0.0562195 | + | 0.998418i | \(0.482095\pi\) |
−0.892765 | + | 0.450522i | \(0.851238\pi\) | |||||||
\(48\) | 6.69883 | − | 11.6027i | 0.966893 | − | 1.67471i | ||||
\(49\) | −3.21261 | −0.458944 | ||||||||
\(50\) | 7.09977 | 1.00406 | ||||||||
\(51\) | −0.861817 | + | 1.49271i | −0.120679 | + | 0.209021i | ||||
\(52\) | 7.79706 | + | 13.5049i | 1.08126 | + | 1.87279i | ||||
\(53\) | −0.490633 | + | 0.849801i | −0.0673936 | + | 0.116729i | −0.897753 | − | 0.440499i | \(-0.854802\pi\) |
0.830360 | + | 0.557228i | \(0.188135\pi\) | |||||||
\(54\) | 7.33380 | + | 12.7025i | 0.998004 | + | 1.72859i | ||||
\(55\) | 0.759439 | + | 1.31539i | 0.102403 | + | 0.177367i | ||||
\(56\) | −15.1378 | −2.02288 | ||||||||
\(57\) | −5.15171 | − | 1.94379i | −0.682361 | − | 0.257461i | ||||
\(58\) | −4.79647 | −0.629807 | ||||||||
\(59\) | −2.98509 | − | 5.17032i | −0.388625 | − | 0.673118i | 0.603640 | − | 0.797257i | \(-0.293716\pi\) |
−0.992265 | + | 0.124139i | \(0.960383\pi\) | |||||||
\(60\) | 4.74913 | + | 8.22573i | 0.613109 | + | 1.06194i | ||||
\(61\) | 2.22817 | − | 3.85930i | 0.285288 | − | 0.494133i | −0.687391 | − | 0.726287i | \(-0.741244\pi\) |
0.972679 | + | 0.232154i | \(0.0745775\pi\) | |||||||
\(62\) | −9.52876 | − | 16.5043i | −1.21015 | − | 2.09605i | ||||
\(63\) | 1.36646 | − | 2.36678i | 0.172158 | − | 0.298187i | ||||
\(64\) | 11.4907 | 1.43634 | ||||||||
\(65\) | −4.78453 | −0.593448 | ||||||||
\(66\) | 1.66515 | − | 2.88412i | 0.204966 | − | 0.355011i | ||||
\(67\) | 6.90453 | − | 11.9590i | 0.843523 | − | 1.46102i | −0.0433749 | − | 0.999059i | \(-0.513811\pi\) |
0.886898 | − | 0.461966i | \(-0.152856\pi\) | |||||||
\(68\) | −6.75480 | −0.819140 | ||||||||
\(69\) | −0.492639 | −0.0593068 | ||||||||
\(70\) | 3.89645 | − | 6.74885i | 0.465715 | − | 0.806642i | ||||
\(71\) | −3.53176 | − | 6.11720i | −0.419143 | − | 0.725978i | 0.576710 | − | 0.816949i | \(-0.304336\pi\) |
−0.995854 | + | 0.0909712i | \(0.971003\pi\) | |||||||
\(72\) | −5.46162 | + | 9.45980i | −0.643658 | + | 1.11485i | ||||
\(73\) | 4.27226 | + | 7.39977i | 0.500030 | + | 0.866077i | 1.00000 | 3.46937e-5i | \(1.10433e-5\pi\) | |
−0.499970 | + | 0.866043i | \(0.666656\pi\) | |||||||
\(74\) | 14.3088 | + | 24.7836i | 1.66337 | + | 2.88104i | ||||
\(75\) | 3.40185 | 0.392811 | ||||||||
\(76\) | −3.49758 | − | 21.2931i | −0.401200 | − | 2.44249i | ||||
\(77\) | −1.94612 | −0.221781 | ||||||||
\(78\) | 5.24529 | + | 9.08511i | 0.593912 | + | 1.02869i | ||||
\(79\) | 7.58446 | + | 13.1367i | 0.853318 | + | 1.47799i | 0.878197 | + | 0.478300i | \(0.158747\pi\) |
−0.0248787 | + | 0.999690i | \(0.507920\pi\) | |||||||
\(80\) | −8.05462 | + | 13.9510i | −0.900534 | + | 1.55977i | ||||
\(81\) | 1.40754 | + | 2.43793i | 0.156394 | + | 0.270882i | ||||
\(82\) | 13.2346 | − | 22.9230i | 1.46152 | − | 2.53142i | ||||
\(83\) | 7.70997 | 0.846279 | 0.423140 | − | 0.906064i | \(-0.360928\pi\) | ||||
0.423140 | + | 0.906064i | \(0.360928\pi\) | |||||||
\(84\) | −12.1700 | −1.32786 | ||||||||
\(85\) | 1.03624 | − | 1.79482i | 0.112396 | − | 0.194676i | ||||
\(86\) | −0.657447 | + | 1.13873i | −0.0708943 | + | 0.122793i | ||||
\(87\) | −2.29822 | −0.246395 | ||||||||
\(88\) | 7.77846 | 0.829187 | ||||||||
\(89\) | −0.833231 | + | 1.44320i | −0.0883224 | + | 0.152979i | −0.906802 | − | 0.421557i | \(-0.861484\pi\) |
0.818480 | + | 0.574535i | \(0.194817\pi\) | |||||||
\(90\) | −2.81162 | − | 4.86987i | −0.296371 | − | 0.513329i | ||||
\(91\) | 3.06519 | − | 5.30906i | 0.321319 | − | 0.556540i | ||||
\(92\) | −0.965310 | − | 1.67197i | −0.100641 | − | 0.174315i | ||||
\(93\) | −4.56569 | − | 7.90801i | −0.473440 | − | 0.820023i | ||||
\(94\) | −30.2395 | −3.11897 | ||||||||
\(95\) | 6.19438 | + | 2.33720i | 0.635530 | + | 0.239791i | ||||
\(96\) | 15.6695 | 1.59926 | ||||||||
\(97\) | −8.72755 | − | 15.1166i | −0.886149 | − | 1.53485i | −0.844391 | − | 0.535727i | \(-0.820038\pi\) |
−0.0417576 | − | 0.999128i | \(-0.513296\pi\) | |||||||
\(98\) | −4.23481 | − | 7.33491i | −0.427780 | − | 0.740938i | ||||
\(99\) | −0.702146 | + | 1.21615i | −0.0705684 | + | 0.122228i | ||||
\(100\) | 6.66580 | + | 11.5455i | 0.666580 | + | 1.15455i | ||||
\(101\) | 0.959776 | − | 1.66238i | 0.0955013 | − | 0.165413i | −0.814316 | − | 0.580421i | \(-0.802888\pi\) |
0.909818 | + | 0.415008i | \(0.136221\pi\) | |||||||
\(102\) | −4.54414 | −0.449937 | ||||||||
\(103\) | −9.07557 | −0.894243 | −0.447121 | − | 0.894473i | \(-0.647551\pi\) | ||||
−0.447121 | + | 0.894473i | \(0.647551\pi\) | |||||||
\(104\) | −12.2513 | + | 21.2198i | −1.20133 | + | 2.08077i | ||||
\(105\) | 1.86698 | − | 3.23370i | 0.182199 | − | 0.315577i | ||||
\(106\) | −2.58698 | −0.251270 | ||||||||
\(107\) | −14.5422 | −1.40584 | −0.702922 | − | 0.711267i | \(-0.748122\pi\) | ||||
−0.702922 | + | 0.711267i | \(0.748122\pi\) | |||||||
\(108\) | −13.7710 | + | 23.8522i | −1.32512 | + | 2.29517i | ||||
\(109\) | 3.00131 | + | 5.19841i | 0.287473 | + | 0.497918i | 0.973206 | − | 0.229935i | \(-0.0738515\pi\) |
−0.685733 | + | 0.727853i | \(0.740518\pi\) | |||||||
\(110\) | −2.00216 | + | 3.46785i | −0.190899 | + | 0.330646i | ||||
\(111\) | 6.85606 | + | 11.8750i | 0.650748 | + | 1.12713i | ||||
\(112\) | −10.3203 | − | 17.8753i | −0.975177 | − | 1.68906i | ||||
\(113\) | −18.4997 | −1.74030 | −0.870151 | − | 0.492785i | \(-0.835979\pi\) | ||||
−0.870151 | + | 0.492785i | \(0.835979\pi\) | |||||||
\(114\) | −2.35292 | − | 14.3245i | −0.220371 | − | 1.34161i | ||||
\(115\) | 0.592346 | 0.0552365 | ||||||||
\(116\) | −4.50329 | − | 7.79992i | −0.418120 | − | 0.724205i | ||||
\(117\) | −2.21179 | − | 3.83094i | −0.204480 | − | 0.354170i | ||||
\(118\) | 7.86979 | − | 13.6309i | 0.724473 | − | 1.25482i | ||||
\(119\) | 1.32773 | + | 2.29969i | 0.121712 | + | 0.210812i | ||||
\(120\) | −7.46214 | + | 12.9248i | −0.681197 | + | 1.17987i | ||||
\(121\) | 1.00000 | 0.0909091 | ||||||||
\(122\) | 11.7486 | 1.06366 | ||||||||
\(123\) | 6.34134 | − | 10.9835i | 0.571780 | − | 0.990352i | ||||
\(124\) | 17.8926 | − | 30.9910i | 1.60681 | − | 2.78307i | ||||
\(125\) | −11.6847 | −1.04512 | ||||||||
\(126\) | 7.20500 | 0.641873 | ||||||||
\(127\) | −4.12262 | + | 7.14059i | −0.365824 | + | 0.633625i | −0.988908 | − | 0.148529i | \(-0.952546\pi\) |
0.623084 | + | 0.782155i | \(0.285879\pi\) | |||||||
\(128\) | 2.74240 | + | 4.74998i | 0.242396 | + | 0.419842i | ||||
\(129\) | −0.315015 | + | 0.545621i | −0.0277355 | + | 0.0480393i | ||||
\(130\) | −6.30690 | − | 10.9239i | −0.553151 | − | 0.958086i | ||||
\(131\) | 9.28093 | + | 16.0750i | 0.810878 | + | 1.40448i | 0.912250 | + | 0.409634i | \(0.134343\pi\) |
−0.101372 | + | 0.994849i | \(0.532323\pi\) | |||||||
\(132\) | 6.25347 | 0.544294 | ||||||||
\(133\) | −6.56182 | + | 5.37615i | −0.568982 | + | 0.466171i | ||||
\(134\) | 36.4058 | 3.14498 | ||||||||
\(135\) | −4.22518 | − | 7.31823i | −0.363646 | − | 0.629853i | ||||
\(136\) | −5.30679 | − | 9.19164i | −0.455054 | − | 0.788176i | ||||
\(137\) | −7.39677 | + | 12.8116i | −0.631949 | + | 1.09457i | 0.355204 | + | 0.934789i | \(0.384411\pi\) |
−0.987153 | + | 0.159779i | \(0.948922\pi\) | |||||||
\(138\) | −0.649390 | − | 1.12478i | −0.0552797 | − | 0.0957473i | ||||
\(139\) | 0.150171 | − | 0.260104i | 0.0127374 | − | 0.0220618i | −0.859586 | − | 0.510990i | \(-0.829279\pi\) |
0.872324 | + | 0.488929i | \(0.162612\pi\) | |||||||
\(140\) | 14.6331 | 1.23673 | ||||||||
\(141\) | −14.4892 | −1.22021 | ||||||||
\(142\) | 9.31104 | − | 16.1272i | 0.781365 | − | 1.35336i | ||||
\(143\) | −1.57502 | + | 2.72802i | −0.131710 | + | 0.228128i | ||||
\(144\) | −14.8940 | −1.24116 | ||||||||
\(145\) | 2.76336 | 0.229485 | ||||||||
\(146\) | −11.2633 | + | 19.5085i | −0.932153 | + | 1.61454i | ||||
\(147\) | −2.02910 | − | 3.51451i | −0.167358 | − | 0.289872i | ||||
\(148\) | −26.8684 | + | 46.5375i | −2.20857 | + | 3.82536i | ||||
\(149\) | 3.35821 | + | 5.81659i | 0.275115 | + | 0.476513i | 0.970164 | − | 0.242449i | \(-0.0779507\pi\) |
−0.695049 | + | 0.718962i | \(0.744617\pi\) | |||||||
\(150\) | 4.48426 | + | 7.76697i | 0.366139 | + | 0.634171i | ||||
\(151\) | 11.8291 | 0.962635 | 0.481318 | − | 0.876546i | \(-0.340158\pi\) | ||||
0.481318 | + | 0.876546i | \(0.340158\pi\) | |||||||
\(152\) | 26.2270 | − | 21.4880i | 2.12729 | − | 1.74290i | ||||
\(153\) | 1.91613 | 0.154910 | ||||||||
\(154\) | −2.56535 | − | 4.44331i | −0.206722 | − | 0.358053i | ||||
\(155\) | 5.48975 | + | 9.50853i | 0.440948 | + | 0.763744i | ||||
\(156\) | −9.84935 | + | 17.0596i | −0.788579 | + | 1.36586i | ||||
\(157\) | −0.597509 | − | 1.03492i | −0.0476864 | − | 0.0825953i | 0.841197 | − | 0.540729i | \(-0.181851\pi\) |
−0.888883 | + | 0.458134i | \(0.848518\pi\) | |||||||
\(158\) | −19.9954 | + | 34.6331i | −1.59075 | + | 2.75526i | ||||
\(159\) | −1.23955 | −0.0983025 | ||||||||
\(160\) | −18.8408 | −1.48950 | ||||||||
\(161\) | −0.379483 | + | 0.657284i | −0.0299075 | + | 0.0518013i | ||||
\(162\) | −3.71080 | + | 6.42730i | −0.291548 | + | 0.504976i | ||||
\(163\) | 20.9191 | 1.63851 | 0.819255 | − | 0.573430i | \(-0.194387\pi\) | ||||
0.819255 | + | 0.573430i | \(0.194387\pi\) | |||||||
\(164\) | 49.7026 | 3.88112 | ||||||||
\(165\) | −0.959333 | + | 1.66161i | −0.0746840 | + | 0.129356i | ||||
\(166\) | 10.1632 | + | 17.6031i | 0.788815 | + | 1.36627i | ||||
\(167\) | 2.29240 | − | 3.97055i | 0.177391 | − | 0.307251i | −0.763595 | − | 0.645696i | \(-0.776568\pi\) |
0.940986 | + | 0.338445i | \(0.109901\pi\) | |||||||
\(168\) | −9.56116 | − | 16.5604i | −0.737660 | − | 1.27766i | ||||
\(169\) | 1.53861 | + | 2.66496i | 0.118355 | + | 0.204997i | ||||
\(170\) | 5.46383 | 0.419057 | ||||||||
\(171\) | 0.992160 | + | 6.04023i | 0.0758724 | + | 0.461908i | ||||
\(172\) | −2.46904 | −0.188263 | ||||||||
\(173\) | −3.95436 | − | 6.84915i | −0.300644 | − | 0.520731i | 0.675638 | − | 0.737234i | \(-0.263868\pi\) |
−0.976282 | + | 0.216503i | \(0.930535\pi\) | |||||||
\(174\) | −3.02948 | − | 5.24722i | −0.229664 | − | 0.397790i | ||||
\(175\) | 2.62046 | − | 4.53878i | 0.198089 | − | 0.343099i | ||||
\(176\) | 5.30301 | + | 9.18508i | 0.399729 | + | 0.692351i | ||||
\(177\) | 3.77080 | − | 6.53121i | 0.283431 | − | 0.490916i | ||||
\(178\) | −4.39341 | −0.329300 | ||||||||
\(179\) | 0.863418 | 0.0645349 | 0.0322674 | − | 0.999479i | \(-0.489727\pi\) | ||||
0.0322674 | + | 0.999479i | \(0.489727\pi\) | |||||||
\(180\) | 5.27952 | − | 9.14440i | 0.393512 | − | 0.681583i | ||||
\(181\) | −4.13351 | + | 7.15944i | −0.307241 | + | 0.532157i | −0.977758 | − | 0.209737i | \(-0.932739\pi\) |
0.670517 | + | 0.741894i | \(0.266072\pi\) | |||||||
\(182\) | 16.1619 | 1.19800 | ||||||||
\(183\) | 5.62930 | 0.416130 | ||||||||
\(184\) | 1.51676 | − | 2.62710i | 0.111817 | − | 0.193673i | ||||
\(185\) | −8.24367 | − | 14.2785i | −0.606087 | − | 1.04977i | ||||
\(186\) | 12.0369 | − | 20.8484i | 0.882585 | − | 1.52868i | ||||
\(187\) | −0.682242 | − | 1.18168i | −0.0498905 | − | 0.0864128i | ||||
\(188\) | −28.3911 | − | 49.1749i | −2.07064 | − | 3.58645i | ||||
\(189\) | 10.8274 | 0.787575 | ||||||||
\(190\) | 2.82913 | + | 17.2236i | 0.205247 | + | 1.24953i | ||||
\(191\) | −0.995039 | −0.0719985 | −0.0359992 | − | 0.999352i | \(-0.511461\pi\) | ||||
−0.0359992 | + | 0.999352i | \(0.511461\pi\) | |||||||
\(192\) | 7.25759 | + | 12.5705i | 0.523772 | + | 0.907199i | ||||
\(193\) | 8.65056 | + | 14.9832i | 0.622681 | + | 1.07852i | 0.988984 | + | 0.148020i | \(0.0472900\pi\) |
−0.366303 | + | 0.930496i | \(0.619377\pi\) | |||||||
\(194\) | 23.0091 | − | 39.8529i | 1.65195 | − | 2.86127i | ||||
\(195\) | −3.02194 | − | 5.23415i | −0.216406 | − | 0.374826i | ||||
\(196\) | 7.95192 | − | 13.7731i | 0.567994 | − | 0.983795i | ||||
\(197\) | 10.3579 | 0.737970 | 0.368985 | − | 0.929435i | \(-0.379705\pi\) | ||||
0.368985 | + | 0.929435i | \(0.379705\pi\) | |||||||
\(198\) | −3.70223 | −0.263106 | ||||||||
\(199\) | −3.37004 | + | 5.83708i | −0.238896 | + | 0.413779i | −0.960398 | − | 0.278633i | \(-0.910119\pi\) |
0.721502 | + | 0.692412i | \(0.243452\pi\) | |||||||
\(200\) | −10.4737 | + | 18.1411i | −0.740606 | + | 1.28277i | ||||
\(201\) | 17.4438 | 1.23039 | ||||||||
\(202\) | 5.06065 | 0.356066 | ||||||||
\(203\) | −1.77034 | + | 3.06631i | −0.124253 | + | 0.215213i | ||||
\(204\) | −4.26638 | − | 7.38958i | −0.298706 | − | 0.517374i | ||||
\(205\) | −7.62478 | + | 13.2065i | −0.532538 | + | 0.922383i | ||||
\(206\) | −11.9633 | − | 20.7210i | −0.833521 | − | 1.44370i | ||||
\(207\) | 0.273830 | + | 0.474287i | 0.0190325 | + | 0.0329652i | ||||
\(208\) | −33.4094 | −2.31653 | ||||||||
\(209\) | 3.37174 | − | 2.76249i | 0.233228 | − | 0.191086i | ||||
\(210\) | 9.84410 | 0.679307 | ||||||||
\(211\) | 7.70026 | + | 13.3372i | 0.530108 | + | 0.918174i | 0.999383 | + | 0.0351217i | \(0.0111819\pi\) |
−0.469275 | + | 0.883052i | \(0.655485\pi\) | |||||||
\(212\) | −2.42885 | − | 4.20689i | −0.166814 | − | 0.288931i | ||||
\(213\) | 4.46137 | − | 7.72732i | 0.305688 | − | 0.529467i | ||||
\(214\) | −19.1693 | − | 33.2021i | −1.31038 | − | 2.26965i | ||||
\(215\) | 0.378771 | − | 0.656051i | 0.0258320 | − | 0.0447423i | ||||
\(216\) | −43.2760 | −2.94456 | ||||||||
\(217\) | −14.0679 | −0.954993 | ||||||||
\(218\) | −7.91255 | + | 13.7049i | −0.535906 | + | 0.928216i | ||||
\(219\) | −5.39677 | + | 9.34748i | −0.364680 | + | 0.631644i | ||||
\(220\) | −7.51912 | −0.506939 | ||||||||
\(221\) | 4.29818 | 0.289127 | ||||||||
\(222\) | −18.0751 | + | 31.3070i | −1.21312 | + | 2.10119i | ||||
\(223\) | −0.786741 | − | 1.36268i | −0.0526841 | − | 0.0912515i | 0.838481 | − | 0.544931i | \(-0.183444\pi\) |
−0.891165 | + | 0.453680i | \(0.850111\pi\) | |||||||
\(224\) | 12.0703 | − | 20.9064i | 0.806480 | − | 1.39686i | ||||
\(225\) | −1.89089 | − | 3.27511i | −0.126059 | − | 0.218341i | ||||
\(226\) | −24.3860 | − | 42.2378i | −1.62213 | − | 2.80961i | ||||
\(227\) | 8.65140 | 0.574214 | 0.287107 | − | 0.957899i | \(-0.407307\pi\) | ||||
0.287107 | + | 0.957899i | \(0.407307\pi\) | |||||||
\(228\) | 21.0851 | − | 17.2752i | 1.39639 | − | 1.14408i | ||||
\(229\) | −20.4306 | −1.35009 | −0.675045 | − | 0.737777i | \(-0.735876\pi\) | ||||
−0.675045 | + | 0.737777i | \(0.735876\pi\) | |||||||
\(230\) | 0.780821 | + | 1.35242i | 0.0514858 | + | 0.0891761i | ||||
\(231\) | −1.22918 | − | 2.12901i | −0.0808743 | − | 0.140078i | ||||
\(232\) | 7.07586 | − | 12.2557i | 0.464553 | − | 0.804629i | ||||
\(233\) | 4.57802 | + | 7.92936i | 0.299916 | + | 0.519470i | 0.976116 | − | 0.217248i | \(-0.0697080\pi\) |
−0.676200 | + | 0.736718i | \(0.736375\pi\) | |||||||
\(234\) | 5.83110 | − | 10.0998i | 0.381191 | − | 0.660242i | ||||
\(235\) | 17.4217 | 1.13647 | ||||||||
\(236\) | 29.5550 | 1.92387 | ||||||||
\(237\) | −9.58078 | + | 16.5944i | −0.622339 | + | 1.07792i | ||||
\(238\) | −3.50038 | + | 6.06283i | −0.226896 | + | 0.392995i | ||||
\(239\) | −18.0613 | −1.16829 | −0.584143 | − | 0.811651i | \(-0.698569\pi\) | ||||
−0.584143 | + | 0.811651i | \(0.698569\pi\) | |||||||
\(240\) | −20.3494 | −1.31355 | ||||||||
\(241\) | 11.2550 | − | 19.4942i | 0.724997 | − | 1.25573i | −0.233978 | − | 0.972242i | \(-0.575174\pi\) |
0.958975 | − | 0.283490i | \(-0.0914923\pi\) | |||||||
\(242\) | 1.31818 | + | 2.28316i | 0.0847361 | + | 0.146767i | ||||
\(243\) | 6.56732 | − | 11.3749i | 0.421293 | − | 0.729702i | ||||
\(244\) | 11.0304 | + | 19.1053i | 0.706151 | + | 1.22309i | ||||
\(245\) | 2.43978 | + | 4.22582i | 0.155872 | + | 0.269978i | ||||
\(246\) | 33.4363 | 2.13182 | ||||||||
\(247\) | 2.22557 | + | 13.5492i | 0.141609 | + | 0.862112i | ||||
\(248\) | 56.2282 | 3.57049 | ||||||||
\(249\) | 4.86967 | + | 8.43451i | 0.308603 | + | 0.534516i | ||||
\(250\) | −15.4026 | − | 26.6782i | −0.974149 | − | 1.68728i | ||||
\(251\) | 6.17190 | − | 10.6901i | 0.389567 | − | 0.674750i | −0.602824 | − | 0.797874i | \(-0.705958\pi\) |
0.992391 | + | 0.123124i | \(0.0392913\pi\) | |||||||
\(252\) | 6.76460 | + | 11.7166i | 0.426130 | + | 0.738078i | ||||
\(253\) | 0.194995 | − | 0.337741i | 0.0122592 | − | 0.0212336i | ||||
\(254\) | −21.7375 | −1.36393 | ||||||||
\(255\) | 2.61799 | 0.163945 | ||||||||
\(256\) | 4.26071 | − | 7.37977i | 0.266294 | − | 0.461235i | ||||
\(257\) | −4.84678 | + | 8.39487i | −0.302334 | + | 0.523658i | −0.976664 | − | 0.214772i | \(-0.931099\pi\) |
0.674330 | + | 0.738430i | \(0.264432\pi\) | |||||||
\(258\) | −1.66099 | −0.103409 | ||||||||
\(259\) | 21.1251 | 1.31265 | ||||||||
\(260\) | 11.8428 | − | 20.5123i | 0.734458 | − | 1.27212i | ||||
\(261\) | 1.27745 | + | 2.21260i | 0.0790720 | + | 0.136957i | ||||
\(262\) | −24.4679 | + | 42.3797i | −1.51163 | + | 2.61823i | ||||
\(263\) | 13.8969 | + | 24.0701i | 0.856918 | + | 1.48422i | 0.874855 | + | 0.484386i | \(0.160957\pi\) |
−0.0179369 | + | 0.999839i | \(0.505710\pi\) | |||||||
\(264\) | 4.91293 | + | 8.50944i | 0.302370 | + | 0.523720i | ||||
\(265\) | 1.49042 | 0.0915559 | ||||||||
\(266\) | −20.9243 | − | 7.89494i | −1.28295 | − | 0.484070i | ||||
\(267\) | −2.10510 | −0.128830 | ||||||||
\(268\) | 34.1805 | + | 59.2024i | 2.08791 | + | 3.61636i | ||||
\(269\) | 15.9074 | + | 27.5524i | 0.969892 | + | 1.67990i | 0.695854 | + | 0.718184i | \(0.255026\pi\) |
0.274038 | + | 0.961719i | \(0.411640\pi\) | |||||||
\(270\) | 11.1391 | − | 19.2936i | 0.677907 | − | 1.17417i | ||||
\(271\) | 1.44483 | + | 2.50251i | 0.0877670 | + | 0.152017i | 0.906567 | − | 0.422062i | \(-0.138694\pi\) |
−0.818800 | + | 0.574079i | \(0.805360\pi\) | |||||||
\(272\) | 7.23587 | − | 12.5329i | 0.438739 | − | 0.759918i | ||||
\(273\) | 7.74396 | 0.468686 | ||||||||
\(274\) | −39.0013 | −2.35615 | ||||||||
\(275\) | −1.34651 | + | 2.33222i | −0.0811973 | + | 0.140638i | ||||
\(276\) | 1.21939 | − | 2.11205i | 0.0733988 | − | 0.127130i | ||||
\(277\) | −8.78095 | −0.527596 | −0.263798 | − | 0.964578i | \(-0.584975\pi\) | ||||
−0.263798 | + | 0.964578i | \(0.584975\pi\) | |||||||
\(278\) | 0.791814 | 0.0474899 | ||||||||
\(279\) | −5.07560 | + | 8.79120i | −0.303868 | + | 0.526316i | ||||
\(280\) | 11.4963 | + | 19.9121i | 0.687033 | + | 1.18998i | ||||
\(281\) | 10.3350 | − | 17.9008i | 0.616536 | − | 1.06787i | −0.373576 | − | 0.927599i | \(-0.621869\pi\) |
0.990113 | − | 0.140273i | \(-0.0447981\pi\) | |||||||
\(282\) | −19.0995 | − | 33.0813i | −1.13736 | − | 1.96996i | ||||
\(283\) | −6.92308 | − | 11.9911i | −0.411534 | − | 0.712798i | 0.583523 | − | 0.812096i | \(-0.301674\pi\) |
−0.995058 | + | 0.0992980i | \(0.968340\pi\) | |||||||
\(284\) | 34.9676 | 2.07495 | ||||||||
\(285\) | 1.35557 | + | 8.25268i | 0.0802973 | + | 0.488847i | ||||
\(286\) | −8.30468 | −0.491066 | ||||||||
\(287\) | −9.76956 | − | 16.9214i | −0.576679 | − | 0.998837i | ||||
\(288\) | −8.70974 | − | 15.0857i | −0.513226 | − | 0.888934i | ||||
\(289\) | 7.56909 | − | 13.1101i | 0.445241 | − | 0.771179i | ||||
\(290\) | 3.64262 | + | 6.30921i | 0.213902 | + | 0.370490i | ||||
\(291\) | 11.0248 | − | 19.0954i | 0.646283 | − | 1.11939i | ||||
\(292\) | −42.2992 | −2.47537 | ||||||||
\(293\) | −22.2198 | −1.29810 | −0.649049 | − | 0.760747i | \(-0.724833\pi\) | ||||
−0.649049 | + | 0.760747i | \(0.724833\pi\) | |||||||
\(294\) | 5.34947 | − | 9.26555i | 0.311987 | − | 0.540378i | ||||
\(295\) | −4.53398 | + | 7.85308i | −0.263978 | + | 0.457224i | ||||
\(296\) | −84.4348 | −4.90768 | ||||||||
\(297\) | −5.56356 | −0.322831 | ||||||||
\(298\) | −8.85348 | + | 15.3347i | −0.512868 | + | 0.888314i | ||||
\(299\) | 0.614242 | + | 1.06390i | 0.0355225 | + | 0.0615268i | ||||
\(300\) | −8.42033 | + | 14.5844i | −0.486148 | + | 0.842033i | ||||
\(301\) | 0.485316 | + | 0.840591i | 0.0279731 | + | 0.0484509i | ||||
\(302\) | 15.5929 | + | 27.0077i | 0.897270 | + | 1.55412i | ||||
\(303\) | 2.42480 | 0.139301 | ||||||||
\(304\) | 43.2541 | + | 16.3202i | 2.48079 | + | 0.936026i | ||||
\(305\) | −6.76863 | −0.387571 | ||||||||
\(306\) | 2.52582 | + | 4.37485i | 0.144392 | + | 0.250093i | ||||
\(307\) | 2.21573 | + | 3.83775i | 0.126458 | + | 0.219032i | 0.922302 | − | 0.386470i | \(-0.126306\pi\) |
−0.795844 | + | 0.605502i | \(0.792972\pi\) | |||||||
\(308\) | 4.81709 | − | 8.34344i | 0.274479 | − | 0.475411i | ||||
\(309\) | −5.73219 | − | 9.92845i | −0.326093 | − | 0.564810i | ||||
\(310\) | −14.4730 | + | 25.0680i | −0.822012 | + | 1.42377i | ||||
\(311\) | 3.17169 | 0.179850 | 0.0899252 | − | 0.995949i | \(-0.471337\pi\) | ||||
0.0899252 | + | 0.995949i | \(0.471337\pi\) | |||||||
\(312\) | −30.9519 | −1.75231 | ||||||||
\(313\) | −2.36985 | + | 4.10469i | −0.133952 | + | 0.232011i | −0.925196 | − | 0.379488i | \(-0.876100\pi\) |
0.791245 | + | 0.611499i | \(0.209433\pi\) | |||||||
\(314\) | 1.57525 | − | 2.72842i | 0.0888968 | − | 0.153974i | ||||
\(315\) | −4.15098 | −0.233881 | ||||||||
\(316\) | −75.0929 | −4.22430 | ||||||||
\(317\) | −6.57441 | + | 11.3872i | −0.369256 | + | 0.639569i | −0.989449 | − | 0.144879i | \(-0.953721\pi\) |
0.620194 | + | 0.784449i | \(0.287054\pi\) | |||||||
\(318\) | −1.63395 | − | 2.83009i | −0.0916275 | − | 0.158704i | ||||
\(319\) | 0.909673 | − | 1.57560i | 0.0509319 | − | 0.0882167i | ||||
\(320\) | −8.72647 | − | 15.1147i | −0.487825 | − | 0.844937i | ||||
\(321\) | −9.18492 | − | 15.9088i | −0.512652 | − | 0.887940i | ||||
\(322\) | −2.00092 | −0.111507 | ||||||||
\(323\) | −5.56472 | − | 2.09962i | −0.309629 | − | 0.116826i | ||||
\(324\) | −13.9359 | −0.774218 | ||||||||
\(325\) | −4.24155 | − | 7.34658i | −0.235279 | − | 0.407515i | ||||
\(326\) | 27.5752 | + | 47.7617i | 1.52725 | + | 2.64528i | ||||
\(327\) | −3.79129 | + | 6.56670i | −0.209659 | + | 0.363140i | ||||
\(328\) | 39.0480 | + | 67.6331i | 2.15606 | + | 3.73441i | ||||
\(329\) | −11.1611 | + | 19.3317i | −0.615334 | + | 1.06579i | ||||
\(330\) | −5.05831 | −0.278451 | ||||||||
\(331\) | 21.3690 | 1.17455 | 0.587273 | − | 0.809389i | \(-0.300202\pi\) | ||||
0.587273 | + | 0.809389i | \(0.300202\pi\) | |||||||
\(332\) | −19.0839 | + | 33.0543i | −1.04736 | + | 1.81409i | ||||
\(333\) | 7.62176 | − | 13.2013i | 0.417670 | − | 0.723426i | ||||
\(334\) | 12.0872 | 0.661384 | ||||||||
\(335\) | −20.9743 | −1.14595 | ||||||||
\(336\) | 13.0367 | − | 22.5803i | 0.711213 | − | 1.23186i | ||||
\(337\) | −2.34281 | − | 4.05786i | −0.127621 | − | 0.221046i | 0.795134 | − | 0.606434i | \(-0.207401\pi\) |
−0.922754 | + | 0.385389i | \(0.874067\pi\) | |||||||
\(338\) | −4.05635 | + | 7.02581i | −0.220636 | + | 0.382154i | ||||
\(339\) | −11.6845 | − | 20.2382i | −0.634615 | − | 1.09919i | ||||
\(340\) | 5.12986 | + | 8.88518i | 0.278206 | + | 0.481866i | ||||
\(341\) | 7.22870 | 0.391456 | ||||||||
\(342\) | −12.4830 | + | 10.2274i | −0.675002 | + | 0.553034i | ||||
\(343\) | −19.8750 | −1.07315 | ||||||||
\(344\) | −1.93976 | − | 3.35976i | −0.104585 | − | 0.181146i | ||||
\(345\) | 0.374130 | + | 0.648011i | 0.0201425 | + | 0.0348878i | ||||
\(346\) | 10.4252 | − | 18.0569i | 0.560460 | − | 0.970745i | ||||
\(347\) | −3.36803 | − | 5.83360i | −0.180805 | − | 0.313164i | 0.761350 | − | 0.648342i | \(-0.224537\pi\) |
−0.942155 | + | 0.335177i | \(0.891204\pi\) | |||||||
\(348\) | 5.68861 | − | 9.85296i | 0.304942 | − | 0.528174i | ||||
\(349\) | 21.5879 | 1.15557 | 0.577787 | − | 0.816188i | \(-0.303916\pi\) | ||||
0.577787 | + | 0.816188i | \(0.303916\pi\) | |||||||
\(350\) | 13.8170 | 0.738551 | ||||||||
\(351\) | 8.76273 | − | 15.1775i | 0.467720 | − | 0.810115i | ||||
\(352\) | −6.20223 | + | 10.7426i | −0.330580 | + | 0.572581i | ||||
\(353\) | 5.88791 | 0.313382 | 0.156691 | − | 0.987648i | \(-0.449917\pi\) | ||||
0.156691 | + | 0.987648i | \(0.449917\pi\) | |||||||
\(354\) | 19.8824 | 1.05674 | ||||||||
\(355\) | −5.36432 | + | 9.29127i | −0.284708 | + | 0.493130i | ||||
\(356\) | −4.12487 | − | 7.14448i | −0.218617 | − | 0.378657i | ||||
\(357\) | −1.67720 | + | 2.90500i | −0.0887669 | + | 0.153749i | ||||
\(358\) | 1.13814 | + | 1.97132i | 0.0601528 | + | 0.104188i | ||||
\(359\) | 3.94098 | + | 6.82598i | 0.207997 | + | 0.360261i | 0.951083 | − | 0.308934i | \(-0.0999723\pi\) |
−0.743087 | + | 0.669195i | \(0.766639\pi\) | |||||||
\(360\) | 16.5911 | 0.874426 | ||||||||
\(361\) | 3.73726 | − | 18.6288i | 0.196698 | − | 0.980464i | ||||
\(362\) | −21.7949 | −1.14551 | ||||||||
\(363\) | 0.631607 | + | 1.09397i | 0.0331507 | + | 0.0574188i | ||||
\(364\) | 15.1740 | + | 26.2822i | 0.795335 | + | 1.37756i | ||||
\(365\) | 6.48904 | − | 11.2393i | 0.339652 | − | 0.588294i | ||||
\(366\) | 7.42046 | + | 12.8526i | 0.387874 | + | 0.671817i | ||||
\(367\) | −0.854525 | + | 1.48008i | −0.0446058 | + | 0.0772596i | −0.887466 | − | 0.460873i | \(-0.847537\pi\) |
0.842861 | + | 0.538132i | \(0.180870\pi\) | |||||||
\(368\) | 4.13623 | 0.215616 | ||||||||
\(369\) | −14.0991 | −0.733972 | ||||||||
\(370\) | 21.7334 | − | 37.6433i | 1.12986 | − | 1.95698i | ||||
\(371\) | −0.954832 | + | 1.65382i | −0.0495724 | + | 0.0858619i | ||||
\(372\) | 45.2044 | 2.34374 | ||||||||
\(373\) | 6.90319 | 0.357434 | 0.178717 | − | 0.983901i | \(-0.442805\pi\) | ||||
0.178717 | + | 0.983901i | \(0.442805\pi\) | |||||||
\(374\) | 1.79864 | − | 3.11534i | 0.0930056 | − | 0.161090i | ||||
\(375\) | −7.38016 | − | 12.7828i | −0.381110 | − | 0.660102i | ||||
\(376\) | 44.6100 | − | 77.2668i | 2.30059 | − | 3.98473i | ||||
\(377\) | 2.86551 | + | 4.96321i | 0.147581 | + | 0.255618i | ||||
\(378\) | 14.2725 | + | 24.7206i | 0.734097 | + | 1.27149i | ||||
\(379\) | −27.8405 | −1.43007 | −0.715036 | − | 0.699087i | \(-0.753590\pi\) | ||||
−0.715036 | + | 0.699087i | \(0.753590\pi\) | |||||||
\(380\) | −25.3525 | + | 20.7715i | −1.30056 | + | 1.06556i | ||||
\(381\) | −10.4155 | −0.533602 | ||||||||
\(382\) | −1.31164 | − | 2.27184i | −0.0671096 | − | 0.116237i | ||||
\(383\) | −15.3913 | − | 26.6585i | −0.786458 | − | 1.36218i | −0.928124 | − | 0.372270i | \(-0.878579\pi\) |
0.141667 | − | 0.989914i | \(-0.454754\pi\) | |||||||
\(384\) | −3.46423 | + | 6.00023i | −0.176783 | + | 0.306198i | ||||
\(385\) | 1.47796 | + | 2.55990i | 0.0753239 | + | 0.130465i | ||||
\(386\) | −22.8061 | + | 39.5013i | −1.16080 | + | 2.01056i | ||||
\(387\) | 0.700393 | 0.0356030 | ||||||||
\(388\) | 86.4106 | 4.38683 | ||||||||
\(389\) | 7.75729 | − | 13.4360i | 0.393310 | − | 0.681233i | −0.599574 | − | 0.800320i | \(-0.704663\pi\) |
0.992884 | + | 0.119086i | \(0.0379965\pi\) | |||||||
\(390\) | 7.96695 | − | 13.7992i | 0.403422 | − | 0.698748i | ||||
\(391\) | −0.532134 | −0.0269112 | ||||||||
\(392\) | 24.9892 | 1.26214 | ||||||||
\(393\) | −11.7238 | + | 20.3062i | −0.591387 | + | 1.02431i | ||||
\(394\) | 13.6536 | + | 23.6488i | 0.687860 | + | 1.19141i | ||||
\(395\) | 11.5199 | − | 19.9530i | 0.579627 | − | 1.00394i | ||||
\(396\) | −3.47594 | − | 6.02050i | −0.174672 | − | 0.302541i | ||||
\(397\) | −5.09314 | − | 8.82157i | −0.255617 | − | 0.442742i | 0.709446 | − | 0.704760i | \(-0.248945\pi\) |
−0.965063 | + | 0.262018i | \(0.915612\pi\) | |||||||
\(398\) | −17.7693 | −0.890696 | ||||||||
\(399\) | −10.0259 | − | 3.78285i | −0.501921 | − | 0.189379i | ||||
\(400\) | −28.5621 | −1.42811 | ||||||||
\(401\) | −8.76329 | − | 15.1785i | −0.437618 | − | 0.757976i | 0.559888 | − | 0.828569i | \(-0.310844\pi\) |
−0.997505 | + | 0.0705925i | \(0.977511\pi\) | |||||||
\(402\) | 22.9941 | + | 39.8270i | 1.14684 | + | 1.98639i | ||||
\(403\) | −11.3854 | + | 19.7200i | −0.567145 | + | 0.982324i | ||||
\(404\) | 4.75132 | + | 8.22953i | 0.236387 | + | 0.409434i | ||||
\(405\) | 2.13788 | − | 3.70292i | 0.106232 | − | 0.184000i | ||||
\(406\) | −9.33452 | −0.463264 | ||||||||
\(407\) | −10.8549 | −0.538060 | ||||||||
\(408\) | 6.70361 | − | 11.6110i | 0.331878 | − | 0.574830i | ||||
\(409\) | 9.79585 | − | 16.9669i | 0.484374 | − | 0.838960i | −0.515465 | − | 0.856910i | \(-0.672381\pi\) |
0.999839 | + | 0.0179509i | \(0.00571424\pi\) | |||||||
\(410\) | −40.2035 | −1.98551 | ||||||||
\(411\) | −18.6874 | −0.921781 | ||||||||
\(412\) | 22.4641 | − | 38.9089i | 1.10672 | − | 1.91690i | ||||
\(413\) | −5.80934 | − | 10.0621i | −0.285859 | − | 0.495122i | ||||
\(414\) | −0.721916 | + | 1.25039i | −0.0354802 | + | 0.0614536i | ||||
\(415\) | −5.85525 | − | 10.1416i | −0.287423 | − | 0.497831i | ||||
\(416\) | −19.5373 | − | 33.8396i | −0.957894 | − | 1.65912i | ||||
\(417\) | 0.379397 | 0.0185791 | ||||||||
\(418\) | 10.7518 | + | 4.05676i | 0.525888 | + | 0.198422i | ||||
\(419\) | −6.12240 | −0.299099 | −0.149549 | − | 0.988754i | \(-0.547782\pi\) | ||||
−0.149549 | + | 0.988754i | \(0.547782\pi\) | |||||||
\(420\) | 9.24238 | + | 16.0083i | 0.450982 | + | 0.781124i | ||||
\(421\) | 5.04761 | + | 8.74271i | 0.246005 | + | 0.426094i | 0.962414 | − | 0.271587i | \(-0.0875486\pi\) |
−0.716408 | + | 0.697681i | \(0.754215\pi\) | |||||||
\(422\) | −20.3007 | + | 35.1619i | −0.988224 | + | 1.71165i | ||||
\(423\) | 8.05372 | + | 13.9494i | 0.391585 | + | 0.678245i | ||||
\(424\) | 3.81637 | − | 6.61015i | 0.185339 | − | 0.321017i | ||||
\(425\) | 3.67457 | 0.178243 | ||||||||
\(426\) | 23.5236 | 1.13972 | ||||||||
\(427\) | 4.33629 | − | 7.51067i | 0.209848 | − | 0.363467i | ||||
\(428\) | 35.9951 | − | 62.3453i | 1.73989 | − | 3.01357i | ||||
\(429\) | −3.97918 | −0.192116 | ||||||||
\(430\) | 1.99716 | 0.0963117 | ||||||||
\(431\) | −4.56170 | + | 7.90110i | −0.219729 | + | 0.380583i | −0.954725 | − | 0.297489i | \(-0.903851\pi\) |
0.734996 | + | 0.678072i | \(0.237184\pi\) | |||||||
\(432\) | −29.5036 | − | 51.1017i | −1.41949 | − | 2.45863i | ||||
\(433\) | 17.7484 | − | 30.7412i | 0.852935 | − | 1.47733i | −0.0256125 | − | 0.999672i | \(-0.508154\pi\) |
0.878548 | − | 0.477655i | \(-0.158513\pi\) | |||||||
\(434\) | −18.5441 | − | 32.1194i | −0.890147 | − | 1.54178i | ||||
\(435\) | 1.74536 | + | 3.02305i | 0.0836836 | + | 0.144944i | ||||
\(436\) | −29.7156 | −1.42312 | ||||||||
\(437\) | −0.275535 | − | 1.67744i | −0.0131806 | − | 0.0802431i | ||||
\(438\) | −28.4558 | −1.35967 | ||||||||
\(439\) | 6.72370 | + | 11.6458i | 0.320905 | + | 0.555823i | 0.980675 | − | 0.195644i | \(-0.0626798\pi\) |
−0.659770 | + | 0.751467i | \(0.729346\pi\) | |||||||
\(440\) | −5.90727 | − | 10.2317i | −0.281618 | − | 0.487777i | ||||
\(441\) | −2.25572 | + | 3.90702i | −0.107415 | + | 0.186049i | ||||
\(442\) | 5.66580 | + | 9.81346i | 0.269495 | + | 0.466778i | ||||
\(443\) | 18.2585 | − | 31.6246i | 0.867486 | − | 1.50253i | 0.00292890 | − | 0.999996i | \(-0.499068\pi\) |
0.864557 | − | 0.502534i | \(-0.167599\pi\) | |||||||
\(444\) | −67.8811 | −3.22149 | ||||||||
\(445\) | 2.53115 | 0.119988 | ||||||||
\(446\) | 2.07414 | − | 3.59252i | 0.0982134 | − | 0.170111i | ||||
\(447\) | −4.24213 | + | 7.34759i | −0.200646 | + | 0.347529i | ||||
\(448\) | 22.3623 | 1.05652 | ||||||||
\(449\) | −23.5707 | −1.11237 | −0.556186 | − | 0.831058i | \(-0.687736\pi\) | ||||
−0.556186 | + | 0.831058i | \(0.687736\pi\) | |||||||
\(450\) | 4.98508 | − | 8.63441i | 0.234999 | − | 0.407030i | ||||
\(451\) | 5.02001 | + | 8.69492i | 0.236383 | + | 0.409428i | ||||
\(452\) | 45.7908 | − | 79.3120i | 2.15382 | − | 3.73052i | ||||
\(453\) | 7.47131 | + | 12.9407i | 0.351033 | + | 0.608007i | ||||
\(454\) | 11.4041 | + | 19.7526i | 0.535223 | + | 0.927034i | ||||
\(455\) | −9.31128 | −0.436520 | ||||||||
\(456\) | 40.0724 | + | 15.1197i | 1.87656 | + | 0.708045i | ||||
\(457\) | −26.7896 | −1.25316 | −0.626581 | − | 0.779356i | \(-0.715546\pi\) | ||||
−0.626581 | + | 0.779356i | \(0.715546\pi\) | |||||||
\(458\) | −26.9312 | − | 46.6463i | −1.25841 | − | 2.17964i | ||||
\(459\) | 3.79569 | + | 6.57434i | 0.177168 | + | 0.306864i | ||||
\(460\) | −1.46619 | + | 2.53951i | −0.0683614 | + | 0.118405i | ||||
\(461\) | −3.93570 | − | 6.81684i | −0.183304 | − | 0.317492i | 0.759700 | − | 0.650274i | \(-0.225346\pi\) |
−0.943004 | + | 0.332782i | \(0.892013\pi\) | |||||||
\(462\) | 3.24058 | − | 5.61285i | 0.150766 | − | 0.261134i | ||||
\(463\) | 28.5684 | 1.32769 | 0.663843 | − | 0.747872i | \(-0.268924\pi\) | ||||
0.663843 | + | 0.747872i | \(0.268924\pi\) | |||||||
\(464\) | 19.2960 | 0.895795 | ||||||||
\(465\) | −6.93473 | + | 12.0113i | −0.321590 | + | 0.557011i | ||||
\(466\) | −12.0694 | + | 20.9047i | −0.559102 | + | 0.968393i | ||||
\(467\) | 19.7852 | 0.915548 | 0.457774 | − | 0.889069i | \(-0.348647\pi\) | ||||
0.457774 | + | 0.889069i | \(0.348647\pi\) | |||||||
\(468\) | 21.8987 | 1.01227 | ||||||||
\(469\) | 13.4371 | − | 23.2737i | 0.620466 | − | 1.07468i | ||||
\(470\) | 22.9651 | + | 39.7767i | 1.05930 | + | 1.83476i | ||||
\(471\) | 0.754781 | − | 1.30732i | 0.0347785 | − | 0.0602381i | ||||
\(472\) | 23.2194 | + | 40.2171i | 1.06876 | + | 1.85114i | ||||
\(473\) | −0.249376 | − | 0.431931i | −0.0114663 | − | 0.0198602i | ||||
\(474\) | −50.5170 | −2.32032 | ||||||||
\(475\) | 1.90266 | + | 11.5833i | 0.0873002 | + | 0.531480i | ||||
\(476\) | −13.1457 | −0.602531 | ||||||||
\(477\) | 0.688992 | + | 1.19337i | 0.0315468 | + | 0.0546406i | ||||
\(478\) | −23.8081 | − | 41.2368i | −1.08896 | − | 1.88613i | ||||
\(479\) | −11.9806 | + | 20.7510i | −0.547407 | + | 0.948137i | 0.451044 | + | 0.892502i | \(0.351052\pi\) |
−0.998451 | + | 0.0556352i | \(0.982282\pi\) | |||||||
\(480\) | −11.9000 | − | 20.6114i | −0.543158 | − | 0.940778i | ||||
\(481\) | 17.0968 | − | 29.6125i | 0.779546 | − | 1.35021i | ||||
\(482\) | 59.3446 | 2.70307 | ||||||||
\(483\) | −0.958737 | −0.0436240 | ||||||||
\(484\) | −2.47522 | + | 4.28721i | −0.112510 | + | 0.194873i | ||||
\(485\) | −13.2561 | + | 22.9602i | −0.601928 | + | 1.04257i | ||||
\(486\) | 34.6277 | 1.57075 | ||||||||
\(487\) | −25.1424 | −1.13931 | −0.569655 | − | 0.821884i | \(-0.692923\pi\) | ||||
−0.569655 | + | 0.821884i | \(0.692923\pi\) | |||||||
\(488\) | −17.3317 | + | 30.0194i | −0.784571 | + | 1.35892i | ||||
\(489\) | 13.2126 | + | 22.8850i | 0.597496 | + | 1.03489i | ||||
\(490\) | −6.43216 | + | 11.1408i | −0.290575 | + | 0.503291i | ||||
\(491\) | −0.486402 | − | 0.842474i | −0.0219510 | − | 0.0380203i | 0.854841 | − | 0.518890i | \(-0.173654\pi\) |
−0.876792 | + | 0.480869i | \(0.840321\pi\) | |||||||
\(492\) | 31.3925 | + | 54.3734i | 1.41528 | + | 2.45134i | ||||
\(493\) | −2.48247 | −0.111805 | ||||||||
\(494\) | −28.0012 | + | 22.9416i | −1.25983 | + | 1.03219i | ||||
\(495\) | 2.13295 | 0.0958689 | ||||||||
\(496\) | 38.3338 | + | 66.3962i | 1.72124 | + | 2.98128i | ||||
\(497\) | −6.87325 | − | 11.9048i | −0.308307 | − | 0.534004i | ||||
\(498\) | −12.8382 | + | 22.2365i | −0.575296 | + | 0.996441i | ||||
\(499\) | −16.9544 | − | 29.3659i | −0.758983 | − | 1.31460i | −0.943370 | − | 0.331744i | \(-0.892363\pi\) |
0.184386 | − | 0.982854i | \(-0.440970\pi\) | |||||||
\(500\) | 28.9223 | − | 50.0950i | 1.29345 | − | 2.24031i | ||||
\(501\) | 5.79158 | 0.258749 | ||||||||
\(502\) | 32.5428 | 1.45246 | ||||||||
\(503\) | 10.8953 | − | 18.8712i | 0.485797 | − | 0.841426i | −0.514069 | − | 0.857749i | \(-0.671863\pi\) |
0.999867 | + | 0.0163228i | \(0.00519595\pi\) | |||||||
\(504\) | −10.6290 | + | 18.4099i | −0.473452 | + | 0.820044i | ||||
\(505\) | −2.91557 | −0.129741 | ||||||||
\(506\) | 1.02816 | 0.0457071 | ||||||||
\(507\) | −1.94360 | + | 3.36641i | −0.0863181 | + | 0.149507i | ||||
\(508\) | −20.4088 | − | 35.3491i | −0.905495 | − | 1.56836i | ||||
\(509\) | 1.28979 | − | 2.23398i | 0.0571688 | − | 0.0990192i | −0.836025 | − | 0.548692i | \(-0.815126\pi\) |
0.893193 | + | 0.449673i | \(0.148459\pi\) | |||||||
\(510\) | 3.45099 | + | 5.97730i | 0.152813 | + | 0.264679i | ||||
\(511\) | 8.31434 | + | 14.4009i | 0.367805 | + | 0.637056i | ||||
\(512\) | 33.4352 | 1.47764 | ||||||||
\(513\) | −18.7589 | + | 15.3693i | −0.828225 | + | 0.678571i | ||||
\(514\) | −25.5558 | −1.12722 | ||||||||
\(515\) | 6.89234 | + | 11.9379i | 0.303713 | + | 0.526046i | ||||
\(516\) | −1.55946 | − | 2.70107i | −0.0686515 | − | 0.118908i | ||||
\(517\) | 5.73507 | − | 9.93343i | 0.252228 | − | 0.436872i | ||||
\(518\) | 27.8467 | + | 48.2320i | 1.22352 | + | 2.11919i | ||||
\(519\) | 4.99520 | − | 8.65194i | 0.219265 | − | 0.379778i | ||||
\(520\) | 37.2163 | 1.63204 | ||||||||
\(521\) | 14.4202 | 0.631762 | 0.315881 | − | 0.948799i | \(-0.397700\pi\) | ||||
0.315881 | + | 0.948799i | \(0.397700\pi\) | |||||||
\(522\) | −3.36782 | + | 5.83324i | −0.147406 | + | 0.255314i | ||||
\(523\) | 9.28479 | − | 16.0817i | 0.405996 | − | 0.703205i | −0.588441 | − | 0.808540i | \(-0.700258\pi\) |
0.994437 | + | 0.105335i | \(0.0335915\pi\) | |||||||
\(524\) | −91.8894 | −4.01421 | ||||||||
\(525\) | 6.62041 | 0.288938 | ||||||||
\(526\) | −36.6373 | + | 63.4576i | −1.59746 | + | 2.76688i | ||||
\(527\) | −4.93172 | − | 8.54199i | −0.214829 | − | 0.372095i | ||||
\(528\) | −6.69883 | + | 11.6027i | −0.291529 | + | 0.504943i | ||||
\(529\) | 11.4240 | + | 19.7869i | 0.496694 | + | 0.860299i | ||||
\(530\) | 1.96465 | + | 3.40288i | 0.0853391 | + | 0.147812i | ||||
\(531\) | −8.38387 | −0.363829 | ||||||||
\(532\) | −6.80673 | − | 41.4391i | −0.295109 | − | 1.79661i | ||||
\(533\) | −31.6265 | −1.36990 | ||||||||
\(534\) | −2.77491 | − | 4.80628i | −0.120082 | − | 0.207988i | ||||
\(535\) | 11.0439 | + | 19.1286i | 0.477469 | + | 0.827000i | ||||
\(536\) | −53.7067 | + | 93.0227i | −2.31977 | + | 4.01797i | ||||
\(537\) | 0.545340 | + | 0.944557i | 0.0235332 | + | 0.0407606i | ||||
\(538\) | −41.9378 | + | 72.6384i | −1.80807 | + | 3.13167i | ||||
\(539\) | 3.21261 | 0.138377 | ||||||||
\(540\) | 41.8331 | 1.80021 | ||||||||
\(541\) | 3.23581 | − | 5.60458i | 0.139118 | − | 0.240960i | −0.788045 | − | 0.615618i | \(-0.788907\pi\) |
0.927163 | + | 0.374658i | \(0.122240\pi\) | |||||||
\(542\) | −3.80910 | + | 6.59755i | −0.163615 | + | 0.283389i | ||||
\(543\) | −10.4430 | −0.448152 | ||||||||
\(544\) | 16.9257 | 0.725682 | ||||||||
\(545\) | 4.55862 | − | 7.89575i | 0.195270 | − | 0.338217i | ||||
\(546\) | 10.2080 | + | 17.6807i | 0.436861 | + | 0.756666i | ||||
\(547\) | −19.2013 | + | 33.2576i | −0.820987 | + | 1.42199i | 0.0839609 | + | 0.996469i | \(0.473243\pi\) |
−0.904948 | + | 0.425522i | \(0.860090\pi\) | |||||||
\(548\) | −36.6173 | − | 63.4230i | −1.56421 | − | 2.70930i | ||||
\(549\) | −3.12900 | − | 5.41959i | −0.133543 | − | 0.231302i | ||||
\(550\) | −7.09977 | −0.302735 | ||||||||
\(551\) | −1.28540 | − | 7.82548i | −0.0547600 | − | 0.333377i | ||||
\(552\) | 3.83198 | 0.163100 | ||||||||
\(553\) | 14.7603 | + | 25.5656i | 0.627671 | + | 1.08716i | ||||
\(554\) | −11.5749 | − | 20.0483i | −0.491771 | − | 0.851772i | ||||
\(555\) | 10.4135 | − | 18.0367i | 0.442029 | − | 0.765617i | ||||
\(556\) | 0.743415 | + | 1.28763i | 0.0315278 | + | 0.0546078i | ||||
\(557\) | 1.70938 | − | 2.96074i | 0.0724289 | − | 0.125451i | −0.827536 | − | 0.561412i | \(-0.810258\pi\) |
0.899965 | + | 0.435961i | \(0.143592\pi\) | |||||||
\(558\) | −26.7623 | −1.13294 | ||||||||
\(559\) | 1.57109 | 0.0664500 | ||||||||
\(560\) | −15.6753 | + | 27.1504i | −0.662401 | + | 1.14731i | ||||
\(561\) | 0.861817 | − | 1.49271i | 0.0363859 | − | 0.0630223i | ||||
\(562\) | 54.4939 | 2.29869 | ||||||||
\(563\) | 9.99944 | 0.421426 | 0.210713 | − | 0.977548i | \(-0.432421\pi\) | ||||
0.210713 | + | 0.977548i | \(0.432421\pi\) | |||||||
\(564\) | 35.8641 | − | 62.1184i | 1.51015 | − | 2.61566i | ||||
\(565\) | 14.0494 | + | 24.3342i | 0.591061 | + | 1.02375i | ||||
\(566\) | 18.2518 | − | 31.6130i | 0.767180 | − | 1.32879i | ||||
\(567\) | 2.73925 | + | 4.74452i | 0.115038 | + | 0.199251i | ||||
\(568\) | 27.4717 | + | 47.5824i | 1.15269 | + | 1.99651i | ||||
\(569\) | 35.1243 | 1.47249 | 0.736244 | − | 0.676716i | \(-0.236598\pi\) | ||||
0.736244 | + | 0.676716i | \(0.236598\pi\) | |||||||
\(570\) | −17.0553 | + | 13.9736i | −0.714369 | + | 0.585288i | ||||
\(571\) | 3.64459 | 0.152521 | 0.0762607 | − | 0.997088i | \(-0.475702\pi\) | ||||
0.0762607 | + | 0.997088i | \(0.475702\pi\) | |||||||
\(572\) | −7.79706 | − | 13.5049i | −0.326011 | − | 0.564668i | ||||
\(573\) | −0.628473 | − | 1.08855i | −0.0262548 | − | 0.0454747i | ||||
\(574\) | 25.7562 | − | 44.6110i | 1.07504 | − | 1.86203i | ||||
\(575\) | 0.525123 | + | 0.909539i | 0.0218991 | + | 0.0379304i | ||||
\(576\) | 8.06815 | − | 13.9744i | 0.336173 | − | 0.582268i | ||||
\(577\) | 9.34461 | 0.389021 | 0.194511 | − | 0.980900i | \(-0.437688\pi\) | ||||
0.194511 | + | 0.980900i | \(0.437688\pi\) | |||||||
\(578\) | 39.9098 | 1.66003 | ||||||||
\(579\) | −10.9275 | + | 18.9270i | −0.454132 | + | 0.786579i | ||||
\(580\) | −6.83994 | + | 11.8471i | −0.284013 | + | 0.491925i | ||||
\(581\) | 15.0046 | 0.622494 | ||||||||
\(582\) | 58.1307 | 2.40959 | ||||||||
\(583\) | 0.490633 | − | 0.849801i | 0.0203199 | − | 0.0351952i | ||||
\(584\) | −33.2316 | − | 57.5588i | −1.37513 | − | 2.38180i | ||||
\(585\) | −3.35944 | + | 5.81872i | −0.138896 | + | 0.240575i | ||||
\(586\) | −29.2899 | − | 50.7315i | −1.20995 | − | 2.09570i | ||||
\(587\) | −11.5043 | − | 19.9260i | −0.474831 | − | 0.822432i | 0.524753 | − | 0.851254i | \(-0.324158\pi\) |
−0.999585 | + | 0.0288223i | \(0.990824\pi\) | |||||||
\(588\) | 20.0899 | 0.828495 | ||||||||
\(589\) | 24.3733 | − | 19.9692i | 1.00428 | − | 0.822818i | ||||
\(590\) | −23.9065 | −0.984215 | ||||||||
\(591\) | 6.54212 | + | 11.3313i | 0.269107 | + | 0.466107i | ||||
\(592\) | −57.5639 | − | 99.7036i | −2.36586 | − | 4.09779i | ||||
\(593\) | 3.24908 | − | 5.62758i | 0.133424 | − | 0.231097i | −0.791570 | − | 0.611078i | \(-0.790736\pi\) |
0.924994 | + | 0.379981i | \(0.124069\pi\) | |||||||
\(594\) | −7.33380 | − | 12.7025i | −0.300909 | − | 0.521191i | ||||
\(595\) | 2.01665 | − | 3.49295i | 0.0826747 | − | 0.143197i | ||||
\(596\) | −33.2493 | −1.36194 | ||||||||
\(597\) | −8.51415 | −0.348461 | ||||||||
\(598\) | −1.61937 | + | 2.80483i | −0.0662209 | + | 0.114698i | ||||
\(599\) | 2.29285 | − | 3.97132i | 0.0936831 | − | 0.162264i | −0.815375 | − | 0.578933i | \(-0.803469\pi\) |
0.909058 | + | 0.416669i | \(0.136803\pi\) | |||||||
\(600\) | −26.4611 | −1.08027 | ||||||||
\(601\) | 12.9027 | 0.526314 | 0.263157 | − | 0.964753i | \(-0.415236\pi\) | ||||
0.263157 | + | 0.964753i | \(0.415236\pi\) | |||||||
\(602\) | −1.27947 | + | 2.21611i | −0.0521474 | + | 0.0903219i | ||||
\(603\) | −9.69598 | − | 16.7939i | −0.394851 | − | 0.683902i | ||||
\(604\) | −29.2796 | + | 50.7137i | −1.19137 | + | 2.06351i | ||||
\(605\) | −0.759439 | − | 1.31539i | −0.0308756 | − | 0.0534781i | ||||
\(606\) | 3.19634 | + | 5.53622i | 0.129842 | + | 0.224894i | ||||
\(607\) | −45.6759 | −1.85393 | −0.926963 | − | 0.375153i | \(-0.877590\pi\) | ||||
−0.926963 | + | 0.375153i | \(0.877590\pi\) | |||||||
\(608\) | 8.76398 | + | 53.3548i | 0.355426 | + | 2.16382i | ||||
\(609\) | −4.47262 | −0.181240 | ||||||||
\(610\) | −8.92231 | − | 15.4539i | −0.361254 | − | 0.625710i | ||||
\(611\) | 18.0657 | + | 31.2907i | 0.730861 | + | 1.26589i | ||||
\(612\) | −4.74286 | + | 8.21488i | −0.191719 | + | 0.332067i | ||||
\(613\) | 21.0345 | + | 36.4329i | 0.849576 | + | 1.47151i | 0.881587 | + | 0.472022i | \(0.156476\pi\) |
−0.0320107 | + | 0.999488i | \(0.510191\pi\) | |||||||
\(614\) | −5.84148 | + | 10.1177i | −0.235743 | + | 0.408319i | ||||
\(615\) | −19.2635 | −0.776777 | ||||||||
\(616\) | 15.1378 | 0.609921 | ||||||||
\(617\) | 11.3633 | − | 19.6819i | 0.457471 | − | 0.792363i | −0.541355 | − | 0.840794i | \(-0.682089\pi\) |
0.998827 | + | 0.0484306i | \(0.0154220\pi\) | |||||||
\(618\) | 15.1122 | − | 26.1751i | 0.607901 | − | 1.05292i | ||||
\(619\) | −40.6982 | −1.63580 | −0.817900 | − | 0.575361i | \(-0.804862\pi\) | ||||
−0.817900 | + | 0.575361i | \(0.804862\pi\) | |||||||
\(620\) | −54.3534 | −2.18289 | ||||||||
\(621\) | −1.08486 | + | 1.87904i | −0.0435341 | + | 0.0754033i | ||||
\(622\) | 4.18088 | + | 7.24150i | 0.167638 | + | 0.290358i | ||||
\(623\) | −1.62157 | + | 2.80864i | −0.0649668 | + | 0.112526i | ||||
\(624\) | −21.1016 | − | 36.5491i | −0.844740 | − | 1.46313i | ||||
\(625\) | 2.14132 | + | 3.70887i | 0.0856527 | + | 0.148355i | ||||
\(626\) | −12.4956 | −0.499424 | ||||||||
\(627\) | 5.15171 | + | 1.94379i | 0.205739 | + | 0.0776275i | ||||
\(628\) | 5.91587 | 0.236069 | ||||||||
\(629\) | 7.40570 | + | 12.8271i | 0.295285 | + | 0.511448i | ||||
\(630\) | −5.47176 | − | 9.47736i | −0.218000 | − | 0.377587i | ||||
\(631\) | 9.22777 | − | 15.9830i | 0.367352 | − | 0.636272i | −0.621799 | − | 0.783177i | \(-0.713598\pi\) |
0.989151 | + | 0.146905i | \(0.0469312\pi\) | |||||||
\(632\) | −58.9954 | − | 102.183i | −2.34671 | − | 4.06462i | ||||
\(633\) | −9.72707 | + | 16.8478i | −0.386616 | + | 0.669639i | ||||
\(634\) | −34.6651 | −1.37673 | ||||||||
\(635\) | 12.5235 | 0.496981 | ||||||||
\(636\) | 3.06816 | − | 5.31420i | 0.121660 | − | 0.210722i | ||||
\(637\) | −5.05993 | + | 8.76405i | −0.200482 | + | 0.347244i | ||||
\(638\) | 4.79647 | 0.189894 | ||||||||
\(639\) | −9.91926 | −0.392400 | ||||||||
\(640\) | 4.16537 | − | 7.21463i | 0.164651 | − | 0.285183i | ||||
\(641\) | 14.9442 | + | 25.8840i | 0.590259 | + | 1.02236i | 0.994197 | + | 0.107572i | \(0.0343076\pi\) |
−0.403939 | + | 0.914786i | \(0.632359\pi\) | |||||||
\(642\) | 24.2148 | − | 41.9414i | 0.955684 | − | 1.65529i | ||||
\(643\) | 7.05455 | + | 12.2188i | 0.278204 | + | 0.481864i | 0.970939 | − | 0.239329i | \(-0.0769274\pi\) |
−0.692734 | + | 0.721193i | \(0.743594\pi\) | |||||||
\(644\) | −1.87861 | − | 3.25385i | −0.0740277 | − | 0.128220i | ||||
\(645\) | 0.956937 | 0.0376794 | ||||||||
\(646\) | −2.54155 | − | 15.4729i | −0.0999960 | − | 0.608771i | ||||
\(647\) | 14.8277 | 0.582936 | 0.291468 | − | 0.956581i | \(-0.405856\pi\) | ||||
0.291468 | + | 0.956581i | \(0.405856\pi\) | |||||||
\(648\) | −10.9485 | − | 18.9634i | −0.430098 | − | 0.744952i | ||||
\(649\) | 2.98509 | + | 5.17032i | 0.117175 | + | 0.202953i | ||||
\(650\) | 11.1823 | − | 19.3683i | 0.438606 | − | 0.759687i | ||||
\(651\) | −8.88540 | − | 15.3900i | −0.348246 | − | 0.603180i | ||||
\(652\) | −51.7794 | + | 89.6845i | −2.02784 | + | 3.51232i | ||||
\(653\) | 45.2237 | 1.76974 | 0.884870 | − | 0.465838i | \(-0.154247\pi\) | ||||
0.884870 | + | 0.465838i | \(0.154247\pi\) | |||||||
\(654\) | −19.9905 | −0.781690 | ||||||||
\(655\) | 14.0966 | − | 24.4160i | 0.550799 | − | 0.954012i | ||||
\(656\) | −53.2423 | + | 92.2184i | −2.07876 | + | 3.60052i | ||||
\(657\) | 11.9990 | 0.468126 | ||||||||
\(658\) | −58.8498 | −2.29421 | ||||||||
\(659\) | 10.3377 | − | 17.9055i | 0.402701 | − | 0.697499i | −0.591350 | − | 0.806415i | \(-0.701405\pi\) |
0.994051 | + | 0.108916i | \(0.0347381\pi\) | |||||||
\(660\) | −4.74913 | − | 8.22573i | −0.184859 | − | 0.320186i | ||||
\(661\) | −3.57633 | + | 6.19438i | −0.139103 | + | 0.240934i | −0.927157 | − | 0.374672i | \(-0.877755\pi\) |
0.788054 | + | 0.615606i | \(0.211089\pi\) | |||||||
\(662\) | 28.1683 | + | 48.7889i | 1.09479 | + | 1.89623i | ||||
\(663\) | 2.71476 | + | 4.70210i | 0.105433 | + | 0.182615i | ||||
\(664\) | −59.9717 | −2.32736 | ||||||||
\(665\) | 12.0550 | + | 4.54847i | 0.467473 | + | 0.176382i | ||||
\(666\) | 40.1876 | 1.55724 | ||||||||
\(667\) | −0.354763 | − | 0.614467i | −0.0137365 | − | 0.0237923i | ||||
\(668\) | 11.3484 | + | 19.6560i | 0.439083 | + | 0.760514i | ||||
\(669\) | 0.993822 | − | 1.72135i | 0.0384234 | − | 0.0665512i | ||||
\(670\) | −27.6480 | − | 47.8877i | −1.06813 | − | 1.85006i | ||||
\(671\) | −2.22817 | + | 3.85930i | −0.0860175 | + | 0.148987i | ||||
\(672\) | 30.4947 | 1.17636 | ||||||||
\(673\) | −13.5419 | −0.522003 | −0.261002 | − | 0.965338i | \(-0.584053\pi\) | ||||
−0.261002 | + | 0.965338i | \(0.584053\pi\) | |||||||
\(674\) | 6.17650 | − | 10.6980i | 0.237910 | − | 0.412072i | ||||
\(675\) | 7.49136 | − | 12.9754i | 0.288343 | − | 0.499424i | ||||
\(676\) | −15.2336 | −0.585909 | ||||||||
\(677\) | −30.9201 | −1.18836 | −0.594179 | − | 0.804333i | \(-0.702523\pi\) | ||||
−0.594179 | + | 0.804333i | \(0.702523\pi\) | |||||||
\(678\) | 30.8047 | − | 53.3553i | 1.18305 | − | 2.04910i | ||||
\(679\) | −16.9849 | − | 29.4187i | −0.651820 | − | 1.12899i | ||||
\(680\) | −8.06037 | + | 13.9610i | −0.309101 | + | 0.535379i | ||||
\(681\) | 5.46428 | + | 9.46441i | 0.209392 | + | 0.362677i | ||||
\(682\) | 9.52876 | + | 16.5043i | 0.364875 | + | 0.631982i | ||||
\(683\) | 10.5045 | 0.401943 | 0.200972 | − | 0.979597i | \(-0.435590\pi\) | ||||
0.200972 | + | 0.979597i | \(0.435590\pi\) | |||||||
\(684\) | −28.3515 | − | 10.6973i | −1.08405 | − | 0.409022i | ||||
\(685\) | 22.4696 | 0.858519 | ||||||||
\(686\) | −26.1989 | − | 45.3778i | −1.00028 | − | 1.73253i | ||||
\(687\) | −12.9041 | − | 22.3505i | −0.492321 | − | 0.852725i | ||||
\(688\) | 2.64488 | − | 4.58107i | 0.100835 | − | 0.174652i | ||||
\(689\) | 1.54552 | + | 2.67691i | 0.0588794 | + | 0.101982i | ||||
\(690\) | −0.986344 | + | 1.70840i | −0.0375495 | + | 0.0650376i | ||||
\(691\) | 9.99026 | 0.380048 | 0.190024 | − | 0.981779i | \(-0.439143\pi\) | ||||
0.190024 | + | 0.981779i | \(0.439143\pi\) | |||||||
\(692\) | 39.1517 | 1.48832 | ||||||||
\(693\) | −1.36646 | + | 2.36678i | −0.0519076 | + | 0.0899067i | ||||
\(694\) | 8.87938 | − | 15.3795i | 0.337057 | − | 0.583799i | ||||
\(695\) | −0.456184 | −0.0173040 | ||||||||
\(696\) | 17.8766 | 0.677612 | ||||||||
\(697\) | 6.84973 | − | 11.8641i | 0.259452 | − | 0.449384i | ||||
\(698\) | 28.4569 | + | 49.2887i | 1.07711 | + | 1.86561i | ||||
\(699\) | −5.78301 | + | 10.0165i | −0.218734 | + | 0.378858i | ||||
\(700\) | 12.9725 | + | 22.4690i | 0.490313 | + | 0.849247i | ||||
\(701\) | −4.86603 | − | 8.42820i | −0.183787 | − | 0.318329i | 0.759380 | − | 0.650647i | \(-0.225502\pi\) |
−0.943167 | + | 0.332319i | \(0.892169\pi\) | |||||||
\(702\) | 46.2036 | 1.74384 | ||||||||
\(703\) | −36.6001 | + | 29.9867i | −1.38040 | + | 1.13097i | ||||
\(704\) | −11.4907 | −0.433072 | ||||||||
\(705\) | 11.0037 | + | 19.0589i | 0.414423 | + | 0.717801i | ||||
\(706\) | 7.76135 | + | 13.4431i | 0.292102 | + | 0.505936i | ||||
\(707\) | 1.86784 | − | 3.23520i | 0.0702474 | − | 0.121672i | ||||
\(708\) | 18.6671 | + | 32.3324i | 0.701554 | + | 1.21513i | ||||
\(709\) | 9.11964 | − | 15.7957i | 0.342495 | − | 0.593219i | −0.642400 | − | 0.766369i | \(-0.722061\pi\) |
0.984895 | + | 0.173150i | \(0.0553946\pi\) | |||||||
\(710\) | −28.2847 | −1.06150 | ||||||||
\(711\) | 21.3016 | 0.798872 | ||||||||
\(712\) | 6.48126 | − | 11.2259i | 0.242896 | − | 0.420707i | ||||
\(713\) | 1.40956 | − | 2.44142i | 0.0527883 | − | 0.0914321i | ||||
\(714\) | −8.84345 | −0.330958 | ||||||||
\(715\) | 4.78453 | 0.178931 | ||||||||
\(716\) | −2.13715 | + | 3.70165i | −0.0798691 | + | 0.138337i | ||||
\(717\) | −11.4076 | − | 19.7586i | −0.426025 | − | 0.737897i | ||||
\(718\) | −10.3899 | + | 17.9958i | −0.387747 | + | 0.671597i | ||||
\(719\) | 14.4268 | + | 24.9879i | 0.538028 | + | 0.931892i | 0.999010 | + | 0.0444823i | \(0.0141638\pi\) |
−0.460982 | + | 0.887409i | \(0.652503\pi\) | |||||||
\(720\) | 11.3110 | + | 19.5913i | 0.421538 | + | 0.730125i | ||||
\(721\) | −17.6622 | −0.657774 | ||||||||
\(722\) | 47.4590 | − | 16.0234i | 1.76624 | − | 0.596331i | ||||
\(723\) | 28.4349 | 1.05750 | ||||||||
\(724\) | −20.4627 | − | 35.4424i | −0.760490 | − | 1.31721i | ||||
\(725\) | 2.44976 | + | 4.24311i | 0.0909818 | + | 0.157585i | ||||
\(726\) | −1.66515 | + | 2.88412i | −0.0617995 | + | 0.107040i | ||||
\(727\) | −5.51369 | − | 9.55000i | −0.204492 | − | 0.354190i | 0.745479 | − | 0.666529i | \(-0.232221\pi\) |
−0.949971 | + | 0.312339i | \(0.898887\pi\) | |||||||
\(728\) | −23.8424 | + | 41.2963i | −0.883659 | + | 1.53054i | ||||
\(729\) | 25.0371 | 0.927300 | ||||||||
\(730\) | 34.2150 | 1.26635 | ||||||||
\(731\) | −0.340269 | + | 0.589363i | −0.0125853 | + | 0.0217984i | ||||
\(732\) | −13.9338 | + | 24.1340i | −0.515007 | + | 0.892019i | ||||
\(733\) | 6.59161 | 0.243467 | 0.121733 | − | 0.992563i | \(-0.461155\pi\) | ||||
0.121733 | + | 0.992563i | \(0.461155\pi\) | |||||||
\(734\) | −4.50569 | −0.166308 | ||||||||
\(735\) | −3.08196 | + | 5.33811i | −0.113680 | + | 0.196899i | ||||
\(736\) | 2.41880 | + | 4.18949i | 0.0891582 | + | 0.154427i | ||||
\(737\) | −6.90453 | + | 11.9590i | −0.254332 | + | 0.440515i | ||||
\(738\) | −18.5853 | − | 32.1906i | −0.684133 | − | 1.18495i | ||||
\(739\) | 6.37097 | + | 11.0348i | 0.234360 | + | 0.405923i | 0.959086 | − | 0.283113i | \(-0.0913673\pi\) |
−0.724727 | + | 0.689036i | \(0.758034\pi\) | |||||||
\(740\) | 81.6197 | 3.00040 | ||||||||
\(741\) | −13.4167 | + | 10.9924i | −0.492877 | + | 0.403818i | ||||
\(742\) | −5.03458 | −0.184825 | ||||||||
\(743\) | −0.790159 | − | 1.36860i | −0.0289881 | − | 0.0502089i | 0.851167 | − | 0.524894i | \(-0.175895\pi\) |
−0.880156 | + | 0.474685i | \(0.842562\pi\) | |||||||
\(744\) | 35.5141 | + | 61.5122i | 1.30201 | + | 2.25515i | ||||
\(745\) | 5.10071 | − | 8.83468i | 0.186875 | − | 0.323678i | ||||
\(746\) | 9.09969 | + | 15.7611i | 0.333163 | + | 0.577055i | ||||
\(747\) | 5.41353 | − | 9.37651i | 0.198071 | − | 0.343068i | ||||
\(748\) | 6.75480 | 0.246980 | ||||||||
\(749\) | −28.3008 | −1.03409 | ||||||||
\(750\) | 19.4568 | − | 33.7002i | 0.710463 | − | 1.23056i | ||||
\(751\) | −18.6386 | + | 32.2830i | −0.680131 | + | 1.17802i | 0.294809 | + | 0.955556i | \(0.404744\pi\) |
−0.974940 | + | 0.222466i | \(0.928589\pi\) | |||||||
\(752\) | 121.652 | 4.43621 | ||||||||
\(753\) | 15.5929 | 0.568235 | ||||||||
\(754\) | −7.55454 | + | 13.0849i | −0.275120 | + | 0.476522i | ||||
\(755\) | −8.98345 | − | 15.5598i | −0.326941 | − | 0.566279i | ||||
\(756\) | −26.8001 | + | 46.4192i | −0.974712 | + | 1.68825i | ||||
\(757\) | 6.61745 | + | 11.4618i | 0.240515 | + | 0.416585i | 0.960861 | − | 0.277030i | \(-0.0893503\pi\) |
−0.720346 | + | 0.693615i | \(0.756017\pi\) | |||||||
\(758\) | −36.6990 | − | 63.5645i | −1.33297 | − | 2.30877i | ||||
\(759\) | 0.492639 | 0.0178817 | ||||||||
\(760\) | −48.1827 | − | 18.1798i | −1.74777 | − | 0.659451i | ||||
\(761\) | 41.3446 | 1.49874 | 0.749370 | − | 0.662152i | \(-0.230357\pi\) | ||||
0.749370 | + | 0.662152i | \(0.230357\pi\) | |||||||
\(762\) | −13.7296 | − | 23.7803i | −0.497369 | − | 0.861469i | ||||
\(763\) | 5.84091 | + | 10.1168i | 0.211455 | + | 0.366251i | ||||
\(764\) | 2.46294 | − | 4.26594i | 0.0891061 | − | 0.154336i | ||||
\(765\) | −1.45519 | − | 2.52046i | −0.0526124 | − | 0.0911274i | ||||
\(766\) | 40.5771 | − | 70.2816i | 1.46611 | − | 2.53938i | ||||
\(767\) | −18.8063 | −0.679056 | ||||||||
\(768\) | 10.7644 | 0.388426 | ||||||||
\(769\) | −6.24777 | + | 10.8214i | −0.225300 | + | 0.390231i | −0.956409 | − | 0.292029i | \(-0.905670\pi\) |
0.731109 | + | 0.682260i | \(0.239003\pi\) | |||||||
\(770\) | −3.89645 | + | 6.74885i | −0.140418 | + | 0.243212i | ||||
\(771\) | −12.2450 | −0.440994 |