Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [539,2,Mod(23,539)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(539, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([38, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("539.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 539 = 7^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 539.r (of order \(21\), degree \(12\), 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: | \(4.30393666895\) |
Analytic rank: | \(0\) |
Dimension: | \(276\) |
Relative dimension: | \(23\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 23.17 | ||
Character | \(\chi\) | \(=\) | 539.23 |
Dual form | 539.2.r.b.375.17 |
$q$-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 \(\left(\mathbb{Z}/539\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(442\) |
\(\chi(n)\) | \(e\left(\frac{19}{21}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.110040 | − | 1.46838i | 0.0778102 | − | 1.03830i | −0.812503 | − | 0.582957i | \(-0.801896\pi\) |
0.890313 | − | 0.455348i | \(-0.150485\pi\) | |||||||
\(3\) | −1.06483 | + | 0.328455i | −0.614777 | + | 0.189634i | −0.586477 | − | 0.809966i | \(-0.699486\pi\) |
−0.0283003 | + | 0.999599i | \(0.509009\pi\) | |||||||
\(4\) | −0.166383 | − | 0.0250782i | −0.0831915 | − | 0.0125391i | ||||
\(5\) | 0.939178 | + | 0.871429i | 0.420013 | + | 0.389715i | 0.861670 | − | 0.507469i | \(-0.169419\pi\) |
−0.441657 | + | 0.897184i | \(0.645609\pi\) | |||||||
\(6\) | 0.365125 | + | 1.59972i | 0.149062 | + | 0.653082i | ||||
\(7\) | −0.817308 | − | 2.51635i | −0.308913 | − | 0.951090i | ||||
\(8\) | 0.600192 | − | 2.62961i | 0.212200 | − | 0.929708i | ||||
\(9\) | −1.45275 | + | 0.990465i | −0.484248 | + | 0.330155i | ||||
\(10\) | 1.38294 | − | 1.28318i | 0.437324 | − | 0.405778i | ||||
\(11\) | 0.826239 | + | 0.563320i | 0.249120 | + | 0.169847i | ||||
\(12\) | 0.185406 | − | 0.0279455i | 0.0535221 | − | 0.00806716i | ||||
\(13\) | 1.08595 | − | 0.522965i | 0.301188 | − | 0.145044i | −0.277186 | − | 0.960816i | \(-0.589402\pi\) |
0.578374 | + | 0.815772i | \(0.303688\pi\) | |||||||
\(14\) | −3.78490 | + | 0.923222i | −1.01156 | + | 0.246742i | ||||
\(15\) | −1.28629 | − | 0.619443i | −0.332118 | − | 0.159939i | ||||
\(16\) | −4.11681 | − | 1.26987i | −1.02920 | − | 0.317467i | ||||
\(17\) | 1.84161 | − | 4.69235i | 0.446657 | − | 1.13806i | −0.513373 | − | 0.858165i | \(-0.671604\pi\) |
0.960030 | − | 0.279897i | \(-0.0903004\pi\) | |||||||
\(18\) | 1.29452 | + | 2.24218i | 0.305122 | + | 0.528487i | ||||
\(19\) | 3.10110 | − | 5.37127i | 0.711442 | − | 1.23225i | −0.252874 | − | 0.967499i | \(-0.581376\pi\) |
0.964316 | − | 0.264755i | \(-0.0852910\pi\) | |||||||
\(20\) | −0.134409 | − | 0.168544i | −0.0300548 | − | 0.0376876i | ||||
\(21\) | 1.69680 | + | 2.41102i | 0.370272 | + | 0.526128i | ||||
\(22\) | 0.918090 | − | 1.15125i | 0.195737 | − | 0.245447i | ||||
\(23\) | 2.25344 | + | 5.74168i | 0.469876 | + | 1.19722i | 0.947812 | + | 0.318829i | \(0.103290\pi\) |
−0.477937 | + | 0.878394i | \(0.658615\pi\) | |||||||
\(24\) | 0.224610 | + | 2.99721i | 0.0458484 | + | 0.611804i | ||||
\(25\) | −0.250985 | − | 3.34916i | −0.0501970 | − | 0.669833i | ||||
\(26\) | −0.648416 | − | 1.65214i | −0.127165 | − | 0.324011i | ||||
\(27\) | 3.30592 | − | 4.14549i | 0.636225 | − | 0.797801i | ||||
\(28\) | 0.0728806 | + | 0.439174i | 0.0137731 | + | 0.0829961i | ||||
\(29\) | −4.58890 | − | 5.75430i | −0.852138 | − | 1.06855i | −0.996869 | − | 0.0790763i | \(-0.974803\pi\) |
0.144730 | − | 0.989471i | \(-0.453768\pi\) | |||||||
\(30\) | −1.05112 | + | 1.82060i | −0.191908 | + | 0.332394i | ||||
\(31\) | −0.375961 | − | 0.651184i | −0.0675246 | − | 0.116956i | 0.830286 | − | 0.557337i | \(-0.188177\pi\) |
−0.897811 | + | 0.440381i | \(0.854843\pi\) | |||||||
\(32\) | −0.346846 | + | 0.883750i | −0.0613144 | + | 0.156226i | ||||
\(33\) | −1.06483 | − | 0.328455i | −0.185362 | − | 0.0571767i | ||||
\(34\) | −6.68753 | − | 3.22054i | −1.14690 | − | 0.552319i | ||||
\(35\) | 1.42522 | − | 3.07552i | 0.240907 | − | 0.519858i | ||||
\(36\) | 0.266551 | − | 0.128364i | 0.0444252 | − | 0.0213941i | ||||
\(37\) | −5.07070 | + | 0.764284i | −0.833617 | + | 0.125648i | −0.551963 | − | 0.833868i | \(-0.686121\pi\) |
−0.281654 | + | 0.959516i | \(0.590883\pi\) | |||||||
\(38\) | −7.54585 | − | 5.14467i | −1.22410 | − | 0.834576i | ||||
\(39\) | −0.984575 | + | 0.913552i | −0.157658 | + | 0.146285i | ||||
\(40\) | 2.85521 | − | 1.94665i | 0.451448 | − | 0.307792i | ||||
\(41\) | 1.88691 | − | 8.26711i | 0.294686 | − | 1.29111i | −0.583236 | − | 0.812303i | \(-0.698214\pi\) |
0.877922 | − | 0.478803i | \(-0.158929\pi\) | |||||||
\(42\) | 3.72703 | − | 2.22624i | 0.575093 | − | 0.343517i | ||||
\(43\) | 2.16146 | + | 9.46999i | 0.329620 | + | 1.44416i | 0.819856 | + | 0.572570i | \(0.194054\pi\) |
−0.490236 | + | 0.871590i | \(0.663089\pi\) | |||||||
\(44\) | −0.123345 | − | 0.114448i | −0.0185950 | − | 0.0172536i | ||||
\(45\) | −2.22751 | − | 0.335743i | −0.332057 | − | 0.0500495i | ||||
\(46\) | 8.67897 | − | 2.67711i | 1.27964 | − | 0.394718i | ||||
\(47\) | −0.562474 | + | 7.50569i | −0.0820452 | + | 1.09482i | 0.792499 | + | 0.609873i | \(0.208779\pi\) |
−0.874545 | + | 0.484945i | \(0.838840\pi\) | |||||||
\(48\) | 4.80078 | 0.692933 | ||||||||
\(49\) | −5.66402 | + | 4.11326i | −0.809145 | + | 0.587609i | ||||
\(50\) | −4.94548 | −0.699397 | ||||||||
\(51\) | −0.419769 | + | 5.60143i | −0.0587794 | + | 0.784357i | ||||
\(52\) | −0.193798 | + | 0.0597789i | −0.0268750 | + | 0.00828984i | ||||
\(53\) | 6.21961 | + | 0.937456i | 0.854330 | + | 0.128769i | 0.561583 | − | 0.827421i | \(-0.310193\pi\) |
0.292747 | + | 0.956190i | \(0.405431\pi\) | |||||||
\(54\) | −5.72340 | − | 5.31054i | −0.778856 | − | 0.722672i | ||||
\(55\) | 0.285091 | + | 1.24907i | 0.0384417 | + | 0.168424i | ||||
\(56\) | −7.10756 | + | 0.638910i | −0.949788 | + | 0.0853780i | ||||
\(57\) | −1.53791 | + | 6.73804i | −0.203702 | + | 0.892475i | ||||
\(58\) | −8.95450 | + | 6.10507i | −1.17578 | + | 0.801635i | ||||
\(59\) | 8.73025 | − | 8.10049i | 1.13658 | − | 1.05459i | 0.138649 | − | 0.990342i | \(-0.455724\pi\) |
0.997934 | − | 0.0642527i | \(-0.0204664\pi\) | |||||||
\(60\) | 0.198482 | + | 0.135323i | 0.0256239 | + | 0.0174701i | ||||
\(61\) | −9.25863 | + | 1.39551i | −1.18545 | + | 0.178677i | −0.712022 | − | 0.702157i | \(-0.752220\pi\) |
−0.473424 | + | 0.880835i | \(0.656982\pi\) | |||||||
\(62\) | −0.997559 | + | 0.480399i | −0.126690 | + | 0.0610107i | ||||
\(63\) | 3.67969 | + | 2.84610i | 0.463598 | + | 0.358575i | ||||
\(64\) | −6.50361 | − | 3.13197i | −0.812952 | − | 0.391497i | ||||
\(65\) | 1.47562 | + | 0.455170i | 0.183029 | + | 0.0564569i | ||||
\(66\) | −0.599472 | + | 1.52743i | −0.0737899 | + | 0.188014i | ||||
\(67\) | 1.95689 | + | 3.38943i | 0.239072 | + | 0.414085i | 0.960448 | − | 0.278458i | \(-0.0898235\pi\) |
−0.721376 | + | 0.692543i | \(0.756490\pi\) | |||||||
\(68\) | −0.424089 | + | 0.734544i | −0.0514283 | + | 0.0890765i | ||||
\(69\) | −4.28541 | − | 5.37374i | −0.515903 | − | 0.646922i | ||||
\(70\) | −4.35922 | − | 2.43121i | −0.521026 | − | 0.290585i | ||||
\(71\) | −3.31968 | + | 4.16275i | −0.393974 | + | 0.494027i | −0.938772 | − | 0.344540i | \(-0.888035\pi\) |
0.544798 | + | 0.838567i | \(0.316606\pi\) | |||||||
\(72\) | 1.73261 | + | 4.41463i | 0.204190 | + | 0.520269i | ||||
\(73\) | 0.398907 | + | 5.32304i | 0.0466885 | + | 0.623014i | 0.970645 | + | 0.240517i | \(0.0773169\pi\) |
−0.923956 | + | 0.382498i | \(0.875064\pi\) | |||||||
\(74\) | 0.564283 | + | 7.52983i | 0.0655966 | + | 0.875325i | ||||
\(75\) | 1.36731 | + | 3.48384i | 0.157883 | + | 0.402279i | ||||
\(76\) | −0.650673 | + | 0.815918i | −0.0746373 | + | 0.0935922i | ||||
\(77\) | 0.742218 | − | 2.53951i | 0.0845836 | − | 0.289404i | ||||
\(78\) | 1.23310 | + | 1.54626i | 0.139621 | + | 0.175080i | ||||
\(79\) | −2.45679 | + | 4.25528i | −0.276410 | + | 0.478756i | −0.970490 | − | 0.241142i | \(-0.922478\pi\) |
0.694080 | + | 0.719898i | \(0.255811\pi\) | |||||||
\(80\) | −2.75982 | − | 4.78014i | −0.308557 | − | 0.534436i | ||||
\(81\) | −0.231524 | + | 0.589914i | −0.0257249 | + | 0.0655460i | ||||
\(82\) | −11.9317 | − | 3.68043i | −1.31763 | − | 0.406435i | ||||
\(83\) | 0.179909 | + | 0.0866398i | 0.0197476 | + | 0.00950996i | 0.443731 | − | 0.896160i | \(-0.353654\pi\) |
−0.423984 | + | 0.905670i | \(0.639369\pi\) | |||||||
\(84\) | −0.221854 | − | 0.443706i | −0.0242063 | − | 0.0484123i | ||||
\(85\) | 5.81866 | − | 2.80212i | 0.631122 | − | 0.303932i | ||||
\(86\) | 14.1434 | − | 2.13178i | 1.52513 | − | 0.229876i | ||||
\(87\) | 6.77641 | + | 4.62008i | 0.726508 | + | 0.495325i | ||||
\(88\) | 1.97721 | − | 1.83459i | 0.210772 | − | 0.195568i | ||||
\(89\) | 3.35238 | − | 2.28561i | 0.355351 | − | 0.242274i | −0.372465 | − | 0.928046i | \(-0.621487\pi\) |
0.727817 | + | 0.685772i | \(0.240535\pi\) | |||||||
\(90\) | −0.738114 | + | 3.23389i | −0.0778041 | + | 0.340882i | ||||
\(91\) | −2.20352 | − | 2.30520i | −0.230991 | − | 0.241651i | ||||
\(92\) | −0.230944 | − | 1.01183i | −0.0240776 | − | 0.105491i | ||||
\(93\) | 0.614218 | + | 0.569911i | 0.0636914 | + | 0.0590970i | ||||
\(94\) | 10.9593 | + | 1.65186i | 1.13037 | + | 0.170376i | ||||
\(95\) | 7.59317 | − | 2.34218i | 0.779043 | − | 0.240303i | ||||
\(96\) | 0.0790586 | − | 1.05496i | 0.00806888 | − | 0.107672i | ||||
\(97\) | 13.0140 | 1.32138 | 0.660688 | − | 0.750661i | \(-0.270265\pi\) | ||||
0.660688 | + | 0.750661i | \(0.270265\pi\) | |||||||
\(98\) | 5.41658 | + | 8.76958i | 0.547157 | + | 0.885861i | ||||
\(99\) | −1.75826 | −0.176712 | ||||||||
\(100\) | −0.0422314 | + | 0.563539i | −0.00422314 | + | 0.0563539i | ||||
\(101\) | −7.86464 | + | 2.42592i | −0.782561 | + | 0.241388i | −0.660192 | − | 0.751097i | \(-0.729525\pi\) |
−0.122369 | + | 0.992485i | \(0.539049\pi\) | |||||||
\(102\) | 8.17886 | + | 1.23276i | 0.809828 | + | 0.122062i | ||||
\(103\) | 14.5746 | + | 13.5233i | 1.43608 | + | 1.33249i | 0.854981 | + | 0.518659i | \(0.173568\pi\) |
0.581101 | + | 0.813831i | \(0.302622\pi\) | |||||||
\(104\) | −0.723418 | − | 3.16950i | −0.0709370 | − | 0.310795i | ||||
\(105\) | −0.507442 | + | 3.74302i | −0.0495213 | + | 0.365281i | ||||
\(106\) | 2.06095 | − | 9.02963i | 0.200177 | − | 0.877035i | ||||
\(107\) | −2.01405 | + | 1.37316i | −0.194705 | + | 0.132748i | −0.656749 | − | 0.754109i | \(-0.728069\pi\) |
0.462043 | + | 0.886857i | \(0.347116\pi\) | |||||||
\(108\) | −0.654011 | + | 0.606834i | −0.0629322 | + | 0.0583926i | ||||
\(109\) | 8.42984 | + | 5.74737i | 0.807433 | + | 0.550498i | 0.895211 | − | 0.445642i | \(-0.147024\pi\) |
−0.0877788 | + | 0.996140i | \(0.527977\pi\) | |||||||
\(110\) | 1.86548 | − | 0.281176i | 0.177867 | − | 0.0268091i | ||||
\(111\) | 5.14837 | − | 2.47933i | 0.488662 | − | 0.235327i | ||||
\(112\) | 0.169270 | + | 11.3972i | 0.0159945 | + | 1.07693i | ||||
\(113\) | 5.30409 | + | 2.55431i | 0.498967 | + | 0.240290i | 0.666401 | − | 0.745594i | \(-0.267834\pi\) |
−0.167434 | + | 0.985883i | \(0.553548\pi\) | |||||||
\(114\) | 9.72480 | + | 2.99970i | 0.910811 | + | 0.280948i | ||||
\(115\) | −2.88709 | + | 7.35618i | −0.269222 | + | 0.685967i | ||||
\(116\) | 0.619208 | + | 1.07250i | 0.0574920 | + | 0.0995791i | ||||
\(117\) | −1.05963 | + | 1.83533i | −0.0979626 | + | 0.169676i | ||||
\(118\) | −10.9340 | − | 13.7108i | −1.00655 | − | 1.26218i | ||||
\(119\) | −13.3128 | − | 0.799044i | −1.22038 | − | 0.0732482i | ||||
\(120\) | −2.40091 | + | 3.01065i | −0.219172 | + | 0.274833i | ||||
\(121\) | 0.365341 | + | 0.930874i | 0.0332128 | + | 0.0846249i | ||||
\(122\) | 1.03033 | + | 13.7488i | 0.0932816 | + | 1.24476i | ||||
\(123\) | 0.706141 | + | 9.42280i | 0.0636706 | + | 0.849625i | ||||
\(124\) | 0.0462230 | + | 0.117774i | 0.00415095 | + | 0.0105764i | ||||
\(125\) | 6.67688 | − | 8.37254i | 0.597198 | − | 0.748863i | ||||
\(126\) | 4.58408 | − | 5.09002i | 0.408382 | − | 0.453455i | ||||
\(127\) | −7.04704 | − | 8.83671i | −0.625324 | − | 0.784131i | 0.363759 | − | 0.931493i | \(-0.381493\pi\) |
−0.989083 | + | 0.147362i | \(0.952922\pi\) | |||||||
\(128\) | −6.26398 | + | 10.8495i | −0.553663 | + | 0.958972i | ||||
\(129\) | −5.41205 | − | 9.37394i | −0.476504 | − | 0.825330i | ||||
\(130\) | 0.830743 | − | 2.11670i | 0.0728610 | − | 0.185647i | ||||
\(131\) | 8.75671 | + | 2.70109i | 0.765077 | + | 0.235995i | 0.652645 | − | 0.757664i | \(-0.273659\pi\) |
0.112433 | + | 0.993659i | \(0.464136\pi\) | |||||||
\(132\) | 0.168932 | + | 0.0813533i | 0.0147036 | + | 0.00708090i | ||||
\(133\) | −16.0505 | − | 3.41348i | −1.39176 | − | 0.295986i | ||||
\(134\) | 5.19232 | − | 2.50049i | 0.448549 | − | 0.216010i | ||||
\(135\) | 6.71735 | − | 1.01248i | 0.578138 | − | 0.0871403i | ||||
\(136\) | −11.2337 | − | 7.65904i | −0.963286 | − | 0.656757i | ||||
\(137\) | 15.5557 | − | 14.4335i | 1.32901 | − | 1.23314i | 0.377319 | − | 0.926083i | \(-0.376846\pi\) |
0.951691 | − | 0.307058i | \(-0.0993446\pi\) | |||||||
\(138\) | −8.36228 | + | 5.70131i | −0.711844 | + | 0.485327i | ||||
\(139\) | −0.907279 | + | 3.97505i | −0.0769544 | + | 0.337159i | −0.998720 | − | 0.0505895i | \(-0.983890\pi\) |
0.921765 | + | 0.387749i | \(0.126747\pi\) | |||||||
\(140\) | −0.314262 | + | 0.475973i | −0.0265600 | + | 0.0402271i | ||||
\(141\) | −1.86635 | − | 8.17700i | −0.157175 | − | 0.688628i | ||||
\(142\) | 5.74722 | + | 5.33264i | 0.482296 | + | 0.447505i | ||||
\(143\) | 1.19185 | + | 0.179642i | 0.0996674 | + | 0.0150224i | ||||
\(144\) | 7.23844 | − | 2.23276i | 0.603203 | − | 0.186064i | ||||
\(145\) | 0.704674 | − | 9.40322i | 0.0585200 | − | 0.780895i | ||||
\(146\) | 7.86016 | 0.650512 | ||||||||
\(147\) | 4.68017 | − | 6.24028i | 0.386014 | − | 0.514690i | ||||
\(148\) | 0.862845 | 0.0709254 | ||||||||
\(149\) | −0.280895 | + | 3.74828i | −0.0230118 | + | 0.307071i | 0.973807 | + | 0.227375i | \(0.0730142\pi\) |
−0.996819 | + | 0.0796966i | \(0.974605\pi\) | |||||||
\(150\) | 5.26608 | − | 1.62437i | 0.429973 | − | 0.132629i | ||||
\(151\) | 6.41832 | + | 0.967406i | 0.522315 | + | 0.0787264i | 0.404908 | − | 0.914357i | \(-0.367304\pi\) |
0.117407 | + | 0.993084i | \(0.462542\pi\) | |||||||
\(152\) | −12.2631 | − | 11.3785i | −0.994669 | − | 0.922918i | ||||
\(153\) | 1.97222 | + | 8.64085i | 0.159444 | + | 0.698571i | ||||
\(154\) | −3.64730 | − | 1.36931i | −0.293908 | − | 0.110342i | ||||
\(155\) | 0.214366 | − | 0.939201i | 0.0172183 | − | 0.0754384i | ||||
\(156\) | 0.186727 | − | 0.127308i | 0.0149501 | − | 0.0101928i | ||||
\(157\) | −14.7001 | + | 13.6397i | −1.17320 | + | 1.08857i | −0.178689 | + | 0.983906i | \(0.557186\pi\) |
−0.994508 | + | 0.104662i | \(0.966624\pi\) | |||||||
\(158\) | 5.97804 | + | 4.07576i | 0.475588 | + | 0.324250i | ||||
\(159\) | −6.93072 | + | 1.04464i | −0.549642 | + | 0.0828451i | ||||
\(160\) | −1.09588 | + | 0.527746i | −0.0866366 | + | 0.0417220i | ||||
\(161\) | 12.6063 | − | 10.3632i | 0.993517 | − | 0.816732i | ||||
\(162\) | 0.840744 | + | 0.404881i | 0.0660551 | + | 0.0318105i | ||||
\(163\) | −20.0952 | − | 6.19854i | −1.57398 | − | 0.485507i | −0.619801 | − | 0.784759i | \(-0.712787\pi\) |
−0.954174 | + | 0.299252i | \(0.903263\pi\) | |||||||
\(164\) | −0.521275 | + | 1.32819i | −0.0407047 | + | 0.103714i | ||||
\(165\) | −0.713835 | − | 1.23640i | −0.0555720 | − | 0.0962535i | ||||
\(166\) | 0.147018 | − | 0.254642i | 0.0114108 | − | 0.0197641i | ||||
\(167\) | 0.939487 | + | 1.17808i | 0.0726997 | + | 0.0911625i | 0.816851 | − | 0.576848i | \(-0.195718\pi\) |
−0.744152 | + | 0.668011i | \(0.767146\pi\) | |||||||
\(168\) | 7.35846 | − | 3.01484i | 0.567718 | − | 0.232600i | ||||
\(169\) | −7.19958 | + | 9.02798i | −0.553814 | + | 0.694460i | ||||
\(170\) | −3.47430 | − | 8.85237i | −0.266467 | − | 0.678946i | ||||
\(171\) | 0.814940 | + | 10.8746i | 0.0623200 | + | 0.831603i | ||||
\(172\) | −0.122140 | − | 1.62985i | −0.00931312 | − | 0.124275i | ||||
\(173\) | 1.06979 | + | 2.72579i | 0.0813349 | + | 0.207238i | 0.965756 | − | 0.259452i | \(-0.0835418\pi\) |
−0.884421 | + | 0.466689i | \(0.845447\pi\) | |||||||
\(174\) | 7.52973 | − | 9.44199i | 0.570828 | − | 0.715795i | ||||
\(175\) | −8.22253 | + | 3.36886i | −0.621565 | + | 0.254662i | ||||
\(176\) | −2.68613 | − | 3.36830i | −0.202474 | − | 0.253895i | ||||
\(177\) | −6.63555 | + | 11.4931i | −0.498759 | + | 0.863875i | ||||
\(178\) | −2.98726 | − | 5.17409i | −0.223905 | − | 0.387814i | ||||
\(179\) | −7.34599 | + | 18.7173i | −0.549065 | + | 1.39899i | 0.339658 | + | 0.940549i | \(0.389689\pi\) |
−0.888723 | + | 0.458445i | \(0.848406\pi\) | |||||||
\(180\) | 0.362199 | + | 0.111724i | 0.0269968 | + | 0.00832740i | ||||
\(181\) | 12.8136 | + | 6.17069i | 0.952425 | + | 0.458664i | 0.844536 | − | 0.535499i | \(-0.179876\pi\) |
0.107890 | + | 0.994163i | \(0.465591\pi\) | |||||||
\(182\) | −3.62740 | + | 2.98194i | −0.268880 | + | 0.221036i | ||||
\(183\) | 9.40046 | − | 4.52702i | 0.694902 | − | 0.334647i | ||||
\(184\) | 16.4509 | − | 2.47957i | 1.21278 | − | 0.182797i | ||||
\(185\) | −5.42830 | − | 3.70095i | −0.399097 | − | 0.272100i | ||||
\(186\) | 0.904437 | − | 0.839195i | 0.0663165 | − | 0.0615327i | ||||
\(187\) | 4.16491 | − | 2.83959i | 0.304568 | − | 0.207651i | ||||
\(188\) | 0.281815 | − | 1.23471i | 0.0205535 | − | 0.0900508i | ||||
\(189\) | −13.1335 | − | 4.93071i | −0.955319 | − | 0.358656i | ||||
\(190\) | −2.60367 | − | 11.4074i | −0.188890 | − | 0.827582i | ||||
\(191\) | 14.6283 | + | 13.5731i | 1.05847 | + | 0.982117i | 0.999869 | − | 0.0161647i | \(-0.00514561\pi\) |
0.0586008 | + | 0.998281i | \(0.481336\pi\) | |||||||
\(192\) | 7.95393 | + | 1.19886i | 0.574025 | + | 0.0865204i | ||||
\(193\) | −25.9127 | + | 7.99300i | −1.86524 | + | 0.575349i | −0.868400 | + | 0.495865i | \(0.834851\pi\) |
−0.996836 | + | 0.0794843i | \(0.974673\pi\) | |||||||
\(194\) | 1.43207 | − | 19.1096i | 0.102816 | − | 1.37199i | ||||
\(195\) | −1.72079 | −0.123228 | ||||||||
\(196\) | 1.04555 | − | 0.542333i | 0.0746821 | − | 0.0387381i | ||||
\(197\) | 26.0757 | 1.85781 | 0.928907 | − | 0.370314i | \(-0.120750\pi\) | ||||
0.928907 | + | 0.370314i | \(0.120750\pi\) | |||||||
\(198\) | −0.193480 | + | 2.58181i | −0.0137500 | + | 0.183481i | ||||
\(199\) | −3.27318 | + | 1.00964i | −0.232030 | + | 0.0715717i | −0.408590 | − | 0.912718i | \(-0.633979\pi\) |
0.176560 | + | 0.984290i | \(0.443503\pi\) | |||||||
\(200\) | −8.95764 | − | 1.35015i | −0.633401 | − | 0.0954698i | ||||
\(201\) | −3.19702 | − | 2.96640i | −0.225501 | − | 0.209234i | ||||
\(202\) | 2.69676 | + | 11.8153i | 0.189743 | + | 0.831319i | ||||
\(203\) | −10.7293 | + | 16.2503i | −0.753048 | + | 1.14055i | ||||
\(204\) | 0.210316 | − | 0.921455i | 0.0147251 | − | 0.0645148i | ||||
\(205\) | 8.97635 | − | 6.11997i | 0.626935 | − | 0.427437i | ||||
\(206\) | 21.4612 | − | 19.9131i | 1.49527 | − | 1.38741i | ||||
\(207\) | −8.96062 | − | 6.10924i | −0.622806 | − | 0.424622i | ||||
\(208\) | −5.13474 | + | 0.773937i | −0.356030 | + | 0.0536629i | ||||
\(209\) | 5.58800 | − | 2.69104i | 0.386530 | − | 0.186143i | ||||
\(210\) | 5.44035 | + | 1.15700i | 0.375420 | + | 0.0798408i | ||||
\(211\) | 0.700474 | + | 0.337331i | 0.0482226 | + | 0.0232228i | 0.457840 | − | 0.889035i | \(-0.348623\pi\) |
−0.409617 | + | 0.912258i | \(0.634338\pi\) | |||||||
\(212\) | −1.01133 | − | 0.311954i | −0.0694583 | − | 0.0214251i | ||||
\(213\) | 2.16761 | − | 5.52297i | 0.148522 | − | 0.378428i | ||||
\(214\) | 1.79469 | + | 3.10850i | 0.122683 | + | 0.212493i | ||||
\(215\) | −6.22243 | + | 10.7776i | −0.424366 | + | 0.735024i | ||||
\(216\) | −8.91686 | − | 11.1814i | −0.606715 | − | 0.760797i | ||||
\(217\) | −1.33133 | + | 1.47827i | −0.0903765 | + | 0.100351i | ||||
\(218\) | 9.36697 | − | 11.7458i | 0.634411 | − | 0.795527i | ||||
\(219\) | −2.17315 | − | 5.53708i | −0.146848 | − | 0.374162i | ||||
\(220\) | −0.0161100 | − | 0.214973i | −0.00108614 | − | 0.0144935i | ||||
\(221\) | −0.454040 | − | 6.05875i | −0.0305421 | − | 0.407556i | ||||
\(222\) | −3.07408 | − | 7.83262i | −0.206319 | − | 0.525691i | ||||
\(223\) | 7.56060 | − | 9.48069i | 0.506295 | − | 0.634874i | −0.461341 | − | 0.887223i | \(-0.652632\pi\) |
0.967636 | + | 0.252349i | \(0.0812030\pi\) | |||||||
\(224\) | 2.50730 | + | 0.150491i | 0.167526 | + | 0.0100551i | ||||
\(225\) | 3.68185 | + | 4.61689i | 0.245457 | + | 0.307793i | ||||
\(226\) | 4.33438 | − | 7.50737i | 0.288319 | − | 0.499382i | ||||
\(227\) | −4.57503 | − | 7.92419i | −0.303655 | − | 0.525947i | 0.673306 | − | 0.739364i | \(-0.264874\pi\) |
−0.976961 | + | 0.213418i | \(0.931541\pi\) | |||||||
\(228\) | 0.424861 | − | 1.08253i | 0.0281371 | − | 0.0716922i | ||||
\(229\) | −18.3754 | − | 5.66807i | −1.21428 | − | 0.374557i | −0.379529 | − | 0.925180i | \(-0.623914\pi\) |
−0.834754 | + | 0.550623i | \(0.814390\pi\) | |||||||
\(230\) | 10.4840 | + | 5.04883i | 0.691295 | + | 0.332910i | ||||
\(231\) | 0.0437823 | + | 2.94792i | 0.00288066 | + | 0.193959i | ||||
\(232\) | −17.8858 | + | 8.61335i | −1.17426 | + | 0.565494i | ||||
\(233\) | −7.43454 | + | 1.12058i | −0.487053 | + | 0.0734114i | −0.387978 | − | 0.921669i | \(-0.626826\pi\) |
−0.0990748 | + | 0.995080i | \(0.531588\pi\) | |||||||
\(234\) | 2.57837 | + | 1.75790i | 0.168553 | + | 0.114918i | ||||
\(235\) | −7.06894 | + | 6.55902i | −0.461127 | + | 0.427863i | ||||
\(236\) | −1.65571 | + | 1.12885i | −0.107778 | + | 0.0734816i | ||||
\(237\) | 1.21838 | − | 5.33808i | 0.0791424 | − | 0.346745i | ||||
\(238\) | −2.63824 | + | 19.4603i | −0.171012 | + | 1.26143i | ||||
\(239\) | −2.20775 | − | 9.67279i | −0.142808 | − | 0.625681i | −0.994775 | − | 0.102087i | \(-0.967448\pi\) |
0.851968 | − | 0.523594i | \(-0.175409\pi\) | |||||||
\(240\) | 4.50879 | + | 4.18354i | 0.291041 | + | 0.270046i | ||||
\(241\) | −14.4163 | − | 2.17291i | −0.928639 | − | 0.139970i | −0.332730 | − | 0.943022i | \(-0.607970\pi\) |
−0.595909 | + | 0.803052i | \(0.703208\pi\) | |||||||
\(242\) | 1.40708 | − | 0.434028i | 0.0904507 | − | 0.0279004i | ||||
\(243\) | −1.13595 | + | 15.1582i | −0.0728711 | + | 0.972398i | ||||
\(244\) | 1.57548 | 0.100859 | ||||||||
\(245\) | −8.90393 | − | 1.07271i | −0.568851 | − | 0.0685329i | ||||
\(246\) | 13.9140 | 0.887124 | ||||||||
\(247\) | 0.558652 | − | 7.45469i | 0.0355462 | − | 0.474330i | ||||
\(248\) | −1.93801 | + | 0.597797i | −0.123064 | + | 0.0379601i | ||||
\(249\) | −0.220030 | − | 0.0331641i | −0.0139438 | − | 0.00210169i | ||||
\(250\) | −11.5594 | − | 10.7255i | −0.731080 | − | 0.678343i | ||||
\(251\) | −0.171344 | − | 0.750706i | −0.0108151 | − | 0.0473842i | 0.969232 | − | 0.246147i | \(-0.0791647\pi\) |
−0.980048 | + | 0.198763i | \(0.936308\pi\) | |||||||
\(252\) | −0.540864 | − | 0.565823i | −0.0340712 | − | 0.0356435i | ||||
\(253\) | −1.37252 | + | 6.01341i | −0.0862897 | + | 0.378060i | ||||
\(254\) | −13.7512 | + | 9.37538i | −0.862824 | + | 0.588263i | ||||
\(255\) | −5.27549 | + | 4.89494i | −0.330364 | + | 0.306533i | ||||
\(256\) | 3.31364 | + | 2.25920i | 0.207103 | + | 0.141200i | ||||
\(257\) | −5.71371 | + | 0.861203i | −0.356411 | + | 0.0537204i | −0.324808 | − | 0.945780i | \(-0.605300\pi\) |
−0.0316038 | + | 0.999500i | \(0.510061\pi\) | |||||||
\(258\) | −14.3601 | + | 6.91546i | −0.894021 | + | 0.430538i | ||||
\(259\) | 6.06752 | + | 12.1350i | 0.377018 | + | 0.754031i | ||||
\(260\) | −0.234104 | − | 0.112739i | −0.0145185 | − | 0.00699175i | ||||
\(261\) | 12.3659 | + | 3.81439i | 0.765433 | + | 0.236105i | ||||
\(262\) | 4.92983 | − | 12.5610i | 0.304566 | − | 0.776021i | ||||
\(263\) | 9.43294 | + | 16.3383i | 0.581660 | + | 1.00746i | 0.995283 | + | 0.0970166i | \(0.0309300\pi\) |
−0.413623 | + | 0.910448i | \(0.635737\pi\) | |||||||
\(264\) | −1.50281 | + | 2.60294i | −0.0924915 | + | 0.160200i | ||||
\(265\) | 5.02439 | + | 6.30039i | 0.308646 | + | 0.387030i | ||||
\(266\) | −6.77851 | + | 23.1928i | −0.415617 | + | 1.42204i | ||||
\(267\) | −2.81898 | + | 3.53489i | −0.172519 | + | 0.216332i | ||||
\(268\) | −0.240592 | − | 0.613019i | −0.0146965 | − | 0.0374461i | ||||
\(269\) | −1.87448 | − | 25.0131i | −0.114289 | − | 1.52508i | −0.699756 | − | 0.714382i | \(-0.746708\pi\) |
0.585467 | − | 0.810696i | \(-0.300911\pi\) | |||||||
\(270\) | −0.747528 | − | 9.97507i | −0.0454931 | − | 0.607064i | ||||
\(271\) | 3.04424 | + | 7.75660i | 0.184924 | + | 0.471180i | 0.993031 | − | 0.117857i | \(-0.0376025\pi\) |
−0.808106 | + | 0.589037i | \(0.799507\pi\) | |||||||
\(272\) | −13.5402 | + | 16.9789i | −0.820998 | + | 1.02950i | ||||
\(273\) | 3.10351 | + | 1.73088i | 0.187833 | + | 0.104758i | ||||
\(274\) | −19.4823 | − | 24.4300i | −1.17697 | − | 1.47587i | ||||
\(275\) | 1.67928 | − | 2.90859i | 0.101264 | − | 0.175395i | ||||
\(276\) | 0.578256 | + | 1.00157i | 0.0348069 | + | 0.0602874i | ||||
\(277\) | 4.09202 | − | 10.4263i | 0.245866 | − | 0.626455i | −0.753660 | − | 0.657265i | \(-0.771713\pi\) |
0.999525 | + | 0.0308095i | \(0.00980852\pi\) | |||||||
\(278\) | 5.73706 | + | 1.76965i | 0.344086 | + | 0.106137i | ||||
\(279\) | 1.19115 | + | 0.573628i | 0.0713123 | + | 0.0343422i | ||||
\(280\) | −7.23203 | − | 5.59369i | −0.432196 | − | 0.334287i | ||||
\(281\) | 5.77983 | − | 2.78342i | 0.344796 | − | 0.166045i | −0.253469 | − | 0.967344i | \(-0.581572\pi\) |
0.598264 | + | 0.801299i | \(0.295857\pi\) | |||||||
\(282\) | −12.2124 | + | 1.84072i | −0.727235 | + | 0.109613i | ||||
\(283\) | −6.94656 | − | 4.73608i | −0.412930 | − | 0.281531i | 0.338984 | − | 0.940792i | \(-0.389917\pi\) |
−0.751914 | + | 0.659261i | \(0.770869\pi\) | |||||||
\(284\) | 0.656733 | − | 0.609359i | 0.0389699 | − | 0.0361588i | ||||
\(285\) | −7.31610 | + | 4.98803i | −0.433369 | + | 0.295466i | ||||
\(286\) | 0.394935 | − | 1.73032i | 0.0233530 | − | 0.102316i | ||||
\(287\) | −22.3451 | + | 2.00864i | −1.31899 | + | 0.118566i | ||||
\(288\) | −0.371444 | − | 1.62740i | −0.0218876 | − | 0.0958957i | ||||
\(289\) | −6.16476 | − | 5.72006i | −0.362633 | − | 0.336474i | ||||
\(290\) | −13.7300 | − | 2.06946i | −0.806253 | − | 0.121523i | ||||
\(291\) | −13.8577 | + | 4.27453i | −0.812352 | + | 0.250577i | ||||
\(292\) | 0.0671210 | − | 0.895667i | 0.00392796 | − | 0.0524150i | ||||
\(293\) | 17.5312 | 1.02418 | 0.512092 | − | 0.858931i | \(-0.328871\pi\) | ||||
0.512092 | + | 0.858931i | \(0.328871\pi\) | |||||||
\(294\) | −8.64813 | − | 7.55897i | −0.504369 | − | 0.440848i | ||||
\(295\) | 15.2583 | 0.888371 | ||||||||
\(296\) | −1.03362 | + | 13.7927i | −0.0600779 | + | 0.801683i | ||||
\(297\) | 5.06672 | − | 1.56288i | 0.294001 | − | 0.0906873i | ||||
\(298\) | 5.47301 | + | 0.824924i | 0.317043 | + | 0.0477866i | ||||
\(299\) | 5.44982 | + | 5.05669i | 0.315171 | + | 0.292436i | ||||
\(300\) | −0.140128 | − | 0.613942i | −0.00809030 | − | 0.0354459i | ||||
\(301\) | 22.0632 | − | 13.1789i | 1.27170 | − | 0.759618i | ||||
\(302\) | 2.12680 | − | 9.31811i | 0.122383 | − | 0.536197i | ||||
\(303\) | 7.57766 | − | 5.16636i | 0.435325 | − | 0.296800i | ||||
\(304\) | −19.5875 | + | 18.1745i | −1.12342 | + | 1.04238i | ||||
\(305\) | −9.91159 | − | 6.75761i | −0.567536 | − | 0.386939i | ||||
\(306\) | 12.9051 | − | 1.94513i | 0.737736 | − | 0.111196i | ||||
\(307\) | −28.4072 | + | 13.6802i | −1.62129 | + | 0.780770i | −0.999996 | − | 0.00281074i | \(-0.999105\pi\) |
−0.621290 | + | 0.783581i | \(0.713391\pi\) | |||||||
\(308\) | −0.187179 | + | 0.403918i | −0.0106655 | + | 0.0230154i | ||||
\(309\) | −19.9613 | − | 9.61283i | −1.13556 | − | 0.546855i | ||||
\(310\) | −1.35552 | − | 0.418122i | −0.0769883 | − | 0.0237477i | ||||
\(311\) | 2.35125 | − | 5.99087i | 0.133327 | − | 0.339711i | −0.848582 | − | 0.529063i | \(-0.822543\pi\) |
0.981909 | + | 0.189352i | \(0.0606387\pi\) | |||||||
\(312\) | 1.81135 | + | 3.13736i | 0.102548 | + | 0.177618i | ||||
\(313\) | 3.92231 | − | 6.79364i | 0.221702 | − | 0.383999i | −0.733623 | − | 0.679557i | \(-0.762172\pi\) |
0.955325 | + | 0.295557i | \(0.0955054\pi\) | |||||||
\(314\) | 18.4107 | + | 23.0863i | 1.03898 | + | 1.30284i | ||||
\(315\) | 0.975712 | + | 5.87959i | 0.0549752 | + | 0.331277i | ||||
\(316\) | 0.515483 | − | 0.646395i | 0.0289982 | − | 0.0363625i | ||||
\(317\) | 0.0538294 | + | 0.137155i | 0.00302336 | + | 0.00770340i | 0.932377 | − | 0.361486i | \(-0.117731\pi\) |
−0.929354 | + | 0.369190i | \(0.879635\pi\) | |||||||
\(318\) | 0.771272 | + | 10.2919i | 0.0432508 | + | 0.577142i | ||||
\(319\) | −0.550016 | − | 7.33945i | −0.0307950 | − | 0.410930i | ||||
\(320\) | −3.37875 | − | 8.60892i | −0.188878 | − | 0.481253i | ||||
\(321\) | 1.69359 | − | 2.12370i | 0.0945270 | − | 0.118533i | ||||
\(322\) | −13.8299 | − | 19.6513i | −0.770711 | − | 1.09512i | ||||
\(323\) | −19.4929 | − | 24.4433i | −1.08461 | − | 1.36006i | ||||
\(324\) | 0.0533157 | − | 0.0923455i | 0.00296198 | − | 0.00513031i | ||||
\(325\) | −2.02405 | − | 3.50576i | −0.112274 | − | 0.194465i | ||||
\(326\) | −11.3131 | + | 28.8254i | −0.626576 | + | 1.59649i | ||||
\(327\) | −10.8641 | − | 3.35112i | −0.600784 | − | 0.185317i | ||||
\(328\) | −20.6068 | − | 9.92370i | −1.13782 | − | 0.547945i | ||||
\(329\) | 19.3466 | − | 4.71908i | 1.06662 | − | 0.260171i | ||||
\(330\) | −1.89406 | + | 0.912131i | −0.104265 | + | 0.0502111i | ||||
\(331\) | 13.9306 | − | 2.09970i | 0.765694 | − | 0.115410i | 0.245429 | − | 0.969415i | \(-0.421071\pi\) |
0.520265 | + | 0.854005i | \(0.325833\pi\) | |||||||
\(332\) | −0.0277611 | − | 0.0189272i | −0.00152359 | − | 0.00103877i | ||||
\(333\) | 6.60943 | − | 6.13266i | 0.362195 | − | 0.336068i | ||||
\(334\) | 1.83325 | − | 1.24989i | 0.100311 | − | 0.0683910i | ||||
\(335\) | −1.11578 | + | 4.88857i | −0.0609618 | + | 0.267091i | ||||
\(336\) | −3.92371 | − | 12.0804i | −0.214056 | − | 0.659042i | ||||
\(337\) | −6.83252 | − | 29.9352i | −0.372191 | − | 1.63068i | −0.720613 | − | 0.693338i | \(-0.756139\pi\) |
0.348422 | − | 0.937338i | \(-0.386718\pi\) | |||||||
\(338\) | 12.4643 | + | 11.5652i | 0.677969 | + | 0.629063i | ||||
\(339\) | −6.48691 | − | 0.977744i | −0.352320 | − | 0.0531038i | ||||
\(340\) | −1.03840 | + | 0.320303i | −0.0563150 | + | 0.0173709i | ||||
\(341\) | 0.0561912 | − | 0.749820i | 0.00304292 | − | 0.0406050i | ||||
\(342\) | 16.0578 | 0.868307 | ||||||||
\(343\) | 14.9796 | + | 10.8908i | 0.808825 | + | 0.588050i | ||||
\(344\) | 26.1997 | 1.41259 | ||||||||
\(345\) | 0.658069 | − | 8.78133i | 0.0354293 | − | 0.472771i | ||||
\(346\) | 4.12023 | − | 1.27092i | 0.221505 | − | 0.0683252i | ||||
\(347\) | −10.5144 | − | 1.58479i | −0.564443 | − | 0.0850761i | −0.139378 | − | 0.990239i | \(-0.544510\pi\) |
−0.425064 | + | 0.905163i | \(0.639749\pi\) | |||||||
\(348\) | −1.01162 | − | 0.938644i | −0.0542284 | − | 0.0503166i | ||||
\(349\) | −0.851910 | − | 3.73246i | −0.0456017 | − | 0.199794i | 0.946996 | − | 0.321247i | \(-0.104102\pi\) |
−0.992597 | + | 0.121453i | \(0.961245\pi\) | |||||||
\(350\) | 4.04198 | + | 12.4446i | 0.216053 | + | 0.665189i | ||||
\(351\) | 1.42211 | − | 6.23067i | 0.0759066 | − | 0.332569i | ||||
\(352\) | −0.784412 | + | 0.534803i | −0.0418093 | + | 0.0285051i | ||||
\(353\) | 17.4822 | − | 16.2211i | 0.930485 | − | 0.863364i | −0.0603861 | − | 0.998175i | \(-0.519233\pi\) |
0.990871 | + | 0.134811i | \(0.0430427\pi\) | |||||||
\(354\) | 16.1461 | + | 11.0082i | 0.858157 | + | 0.585082i | ||||
\(355\) | −6.74531 | + | 1.01669i | −0.358004 | + | 0.0539604i | ||||
\(356\) | −0.615098 | + | 0.296216i | −0.0326001 | + | 0.0156994i | ||||
\(357\) | 14.4382 | − | 3.52180i | 0.764152 | − | 0.186394i | ||||
\(358\) | 26.6758 | + | 12.8464i | 1.40986 | + | 0.678953i | ||||
\(359\) | −7.00378 | − | 2.16038i | −0.369646 | − | 0.114021i | 0.104366 | − | 0.994539i | \(-0.466719\pi\) |
−0.474012 | + | 0.880518i | \(0.657195\pi\) | |||||||
\(360\) | −2.21980 | + | 5.65597i | −0.116994 | + | 0.298096i | ||||
\(361\) | −9.73370 | − | 16.8593i | −0.512300 | − | 0.887330i | ||||
\(362\) | 10.4710 | − | 18.1362i | 0.550341 | − | 0.953219i | ||||
\(363\) | −0.694775 | − | 0.871220i | −0.0364662 | − | 0.0457272i | ||||
\(364\) | 0.308817 | + | 0.438806i | 0.0161864 | + | 0.0229997i | ||||
\(365\) | −4.26401 | + | 5.34690i | −0.223188 | + | 0.279869i | ||||
\(366\) | −5.61298 | − | 14.3016i | −0.293395 | − | 0.747559i | ||||
\(367\) | −1.10414 | − | 14.7337i | −0.0576355 | − | 0.769092i | −0.948894 | − | 0.315596i | \(-0.897796\pi\) |
0.891258 | − | 0.453496i | \(-0.149823\pi\) | |||||||
\(368\) | −1.98583 | − | 26.4990i | −0.103518 | − | 1.38136i | ||||
\(369\) | 5.44708 | + | 13.8789i | 0.283563 | + | 0.722508i | ||||
\(370\) | −6.03176 | + | 7.56358i | −0.313576 | + | 0.393212i | ||||
\(371\) | −2.72437 | − | 16.4169i | −0.141442 | − | 0.852323i | ||||
\(372\) | −0.0879031 | − | 0.110227i | −0.00455756 | − | 0.00571500i | ||||
\(373\) | −6.26576 | + | 10.8526i | −0.324429 | + | 0.561927i | −0.981397 | − | 0.191991i | \(-0.938505\pi\) |
0.656968 | + | 0.753919i | \(0.271839\pi\) | |||||||
\(374\) | −3.71130 | − | 6.42816i | −0.191907 | − | 0.332392i | ||||
\(375\) | −4.35971 | + | 11.1084i | −0.225134 | + | 0.573633i | ||||
\(376\) | 19.3995 | + | 5.98394i | 1.00045 | + | 0.308598i | ||||
\(377\) | −7.99261 | − | 3.84904i | −0.411640 | − | 0.198236i | ||||
\(378\) | −8.68538 | + | 18.7424i | −0.446728 | + | 0.964005i | ||||
\(379\) | 8.85340 | − | 4.26357i | 0.454769 | − | 0.219005i | −0.192454 | − | 0.981306i | \(-0.561645\pi\) |
0.647223 | + | 0.762301i | \(0.275930\pi\) | |||||||
\(380\) | −1.32211 | + | 0.199276i | −0.0678230 | + | 0.0102227i | ||||
\(381\) | 10.4063 | + | 7.09492i | 0.533133 | + | 0.363484i | ||||
\(382\) | 21.5403 | − | 19.9865i | 1.10210 | − | 1.02260i | ||||
\(383\) | 30.4938 | − | 20.7903i | 1.55816 | − | 1.06234i | 0.591488 | − | 0.806314i | \(-0.298541\pi\) |
0.966671 | − | 0.256022i | \(-0.0824118\pi\) | |||||||
\(384\) | 3.10646 | − | 13.6103i | 0.158526 | − | 0.694548i | ||||
\(385\) | 2.91008 | − | 1.73826i | 0.148311 | − | 0.0885899i | ||||
\(386\) | 8.88537 | + | 38.9293i | 0.452253 | + | 1.98145i | ||||
\(387\) | −12.5197 | − | 11.6166i | −0.636415 | − | 0.590506i | ||||
\(388\) | −2.16532 | − | 0.326369i | −0.109927 | − | 0.0165689i | ||||
\(389\) | −31.1016 | + | 9.59356i | −1.57691 | + | 0.486413i | −0.954983 | − | 0.296661i | \(-0.904127\pi\) |
−0.621929 | + | 0.783074i | \(0.713651\pi\) | |||||||
\(390\) | −0.189356 | + | 2.52678i | −0.00958840 | + | 0.127948i | ||||
\(391\) | 31.0920 | 1.57239 | ||||||||
\(392\) | 7.41678 | + | 17.3629i | 0.374604 | + | 0.876960i | ||||
\(393\) | −10.2116 | −0.515105 | ||||||||
\(394\) | 2.86937 | − | 38.2891i | 0.144557 | − | 1.92898i | ||||
\(395\) | −6.01554 | + | 1.85555i | −0.302674 | + | 0.0933627i | ||||
\(396\) | 0.292545 | + | 0.0440941i | 0.0147010 | + | 0.00221581i | ||||
\(397\) | 14.4400 | + | 13.3984i | 0.724723 | + | 0.672445i | 0.953623 | − | 0.301005i | \(-0.0973221\pi\) |
−0.228899 | + | 0.973450i | \(0.573513\pi\) | |||||||
\(398\) | 1.12236 | + | 4.91739i | 0.0562589 | + | 0.246487i | ||||
\(399\) | 18.2122 | − | 1.63712i | 0.911751 | − | 0.0819588i | ||||
\(400\) | −3.21974 | + | 14.1066i | −0.160987 | + | 0.705330i | ||||
\(401\) | −17.6440 | + | 12.0295i | −0.881101 | + | 0.600724i | −0.917113 | − | 0.398627i | \(-0.869487\pi\) |
0.0360125 | + | 0.999351i | \(0.488534\pi\) | |||||||
\(402\) | −4.70762 | + | 4.36803i | −0.234795 | + | 0.217858i | ||||
\(403\) | −0.748820 | − | 0.510537i | −0.0373014 | − | 0.0254317i | ||||
\(404\) | 1.36938 | − | 0.206401i | 0.0681292 | − | 0.0102688i | ||||
\(405\) | −0.731511 | + | 0.352277i | −0.0363491 | + | 0.0175048i | ||||
\(406\) | 22.6811 | + | 17.5429i | 1.12564 | + | 0.870640i | ||||
\(407\) | −4.62014 | − | 2.22494i | −0.229012 | − | 0.110286i | ||||
\(408\) | 14.4776 | + | 4.46576i | 0.716750 | + | 0.221088i | ||||
\(409\) | 1.19348 | − | 3.04093i | 0.0590137 | − | 0.150364i | −0.898326 | − | 0.439330i | \(-0.855216\pi\) |
0.957340 | + | 0.288965i | \(0.0933112\pi\) | |||||||
\(410\) | −7.99871 | − | 13.8542i | −0.395028 | − | 0.684209i | ||||
\(411\) | −11.8233 | + | 20.4786i | −0.583200 | + | 1.01013i | ||||
\(412\) | −2.08583 | − | 2.61555i | −0.102762 | − | 0.128859i | ||||
\(413\) | −27.5190 | − | 15.3478i | −1.35412 | − | 0.755214i | ||||
\(414\) | −9.95675 | + | 12.4854i | −0.489347 | + | 0.613622i | ||||
\(415\) | 0.0934664 | + | 0.238149i | 0.00458809 | + | 0.0116903i | ||||
\(416\) | 0.0855133 | + | 1.14110i | 0.00419263 | + | 0.0559468i | ||||
\(417\) | −0.339532 | − | 4.53073i | −0.0166269 | − | 0.221871i | ||||
\(418\) | −3.33657 | − | 8.50145i | −0.163197 | − | 0.415820i | ||||
\(419\) | 19.8329 | − | 24.8697i | 0.968903 | − | 1.21497i | −0.00771217 | − | 0.999970i | \(-0.502455\pi\) |
0.976615 | − | 0.214996i | \(-0.0689737\pi\) | |||||||
\(420\) | 0.178298 | − | 0.610049i | 0.00870005 | − | 0.0297674i | ||||
\(421\) | 1.48244 | + | 1.85892i | 0.0722495 | + | 0.0905981i | 0.816643 | − | 0.577143i | \(-0.195833\pi\) |
−0.744393 | + | 0.667741i | \(0.767261\pi\) | |||||||
\(422\) | 0.572411 | − | 0.991446i | 0.0278646 | − | 0.0482628i | ||||
\(423\) | −6.61699 | − | 11.4610i | −0.321729 | − | 0.557251i | ||||
\(424\) | 6.19811 | − | 15.7925i | 0.301007 | − | 0.766952i | ||||
\(425\) | −16.1777 | − | 4.99015i | −0.784733 | − | 0.242058i | ||||
\(426\) | −7.87132 | − | 3.79063i | −0.381367 | − | 0.183656i | ||||
\(427\) | 11.0787 | + | 22.1574i | 0.536138 | + | 1.07227i | ||||
\(428\) | 0.369540 | − | 0.177961i | 0.0178624 | − | 0.00860207i | ||||
\(429\) | −1.32812 | + | 0.200181i | −0.0641220 | + | 0.00966484i | ||||
\(430\) | 15.1409 | + | 10.3229i | 0.730159 | + | 0.497814i | ||||
\(431\) | −1.32546 | + | 1.22985i | −0.0638453 | + | 0.0592398i | −0.711450 | − | 0.702737i | \(-0.751961\pi\) |
0.647605 | + | 0.761976i | \(0.275771\pi\) | |||||||
\(432\) | −18.8741 | + | 12.8681i | −0.908080 | + | 0.619118i | ||||
\(433\) | −1.62276 | + | 7.10977i | −0.0779848 | + | 0.341674i | −0.998836 | − | 0.0482411i | \(-0.984638\pi\) |
0.920851 | + | 0.389915i | \(0.127496\pi\) | |||||||
\(434\) | 2.02416 | + | 2.11757i | 0.0971630 | + | 0.101647i | ||||
\(435\) | 2.33818 | + | 10.2442i | 0.112107 | + | 0.491174i | ||||
\(436\) | −1.25845 | − | 1.16767i | −0.0602688 | − | 0.0559213i | ||||
\(437\) | 37.8283 | + | 5.70170i | 1.80957 | + | 0.272749i | ||||
\(438\) | −8.36970 | + | 2.58171i | −0.399920 | + | 0.123359i | ||||
\(439\) | −1.09262 | + | 14.5800i | −0.0521478 | + | 0.695864i | 0.908463 | + | 0.417966i | \(0.137257\pi\) |
−0.960611 | + | 0.277898i | \(0.910362\pi\) | |||||||
\(440\) | 3.45567 | 0.164743 | ||||||||
\(441\) | 4.15433 | − | 11.5855i | 0.197825 | − | 0.551692i | ||||
\(442\) | −8.94654 | −0.425543 | ||||||||
\(443\) | 1.70766 | − | 22.7871i | 0.0811332 | − | 1.08265i | −0.796920 | − | 0.604085i | \(-0.793539\pi\) |
0.878053 | − | 0.478563i | \(-0.158842\pi\) | |||||||
\(444\) | −0.918779 | + | 0.283406i | −0.0436033 | + | 0.0134498i | ||||
\(445\) | 5.14023 | + | 0.774765i | 0.243670 | + | 0.0367274i | ||||
\(446\) | −13.0893 | − | 12.1451i | −0.619798 | − | 0.575088i | ||||
\(447\) | −0.932039 | − | 4.08353i | −0.0440839 | − | 0.193144i | ||||
\(448\) | −2.56569 | + | 18.9251i | −0.121217 | + | 0.894129i | ||||
\(449\) | −1.29915 | + | 5.69196i | −0.0613108 | + | 0.268620i | −0.996287 | − | 0.0860891i | \(-0.972563\pi\) |
0.934977 | + | 0.354709i | \(0.115420\pi\) | |||||||
\(450\) | 7.18452 | − | 4.89833i | 0.338682 | − | 0.230909i | ||||
\(451\) | 6.21607 | − | 5.76767i | 0.292703 | − | 0.271589i | ||||
\(452\) | −0.818453 | − | 0.558012i | −0.0384968 | − | 0.0262467i | ||||
\(453\) | −7.15214 | + | 1.07801i | −0.336037 | + | 0.0506494i | ||||
\(454\) | −12.1392 | + | 5.84593i | −0.569720 | + | 0.274363i | ||||
\(455\) | −0.0606731 | − | 4.08520i | −0.00284440 | − | 0.191517i | ||||
\(456\) | 16.7954 | + | 8.08823i | 0.786516 | + | 0.378766i | ||||
\(457\) | 34.5883 | + | 10.6691i | 1.61797 | + | 0.499078i | 0.965864 | − | 0.259049i | \(-0.0834090\pi\) |
0.652107 | + | 0.758127i | \(0.273885\pi\) | |||||||
\(458\) | −10.3450 | + | 26.3585i | −0.483388 | + | 1.23165i | ||||
\(459\) | −13.3639 | − | 23.1470i | −0.623773 | − | 1.08041i | ||||
\(460\) | 0.664842 | − | 1.15154i | 0.0309984 | − | 0.0536908i | ||||
\(461\) | 6.17542 | + | 7.74373i | 0.287618 | + | 0.360661i | 0.904559 | − | 0.426348i | \(-0.140200\pi\) |
−0.616942 | + | 0.787009i | \(0.711628\pi\) | |||||||
\(462\) | 4.33350 | + | 0.260101i | 0.201613 | + | 0.0121010i | ||||
\(463\) | 6.60447 | − | 8.28174i | 0.306936 | − | 0.384885i | −0.604309 | − | 0.796750i | \(-0.706551\pi\) |
0.911245 | + | 0.411864i | \(0.135122\pi\) | |||||||
\(464\) | 11.5844 | + | 29.5167i | 0.537794 | + | 1.37028i | ||||
\(465\) | 0.0802225 | + | 1.07049i | 0.00372023 | + | 0.0496430i | ||||
\(466\) | 0.827339 | + | 11.0401i | 0.0383257 | + | 0.511421i | ||||
\(467\) | 9.31839 | + | 23.7429i | 0.431204 | + | 1.09869i | 0.967098 | + | 0.254404i | \(0.0818794\pi\) |
−0.535894 | + | 0.844285i | \(0.680025\pi\) | |||||||
\(468\) | 0.222331 | − | 0.278794i | 0.0102772 | − | 0.0128873i | ||||
\(469\) | 6.92961 | − | 7.69442i | 0.319980 | − | 0.355295i | ||||
\(470\) | 8.85330 | + | 11.1017i | 0.408372 | + | 0.512082i | ||||
\(471\) | 11.1730 | − | 19.3522i | 0.514826 | − | 0.891705i | ||||
\(472\) | −16.0613 | − | 27.8190i | −0.739282 | − | 1.28047i | ||||
\(473\) | −3.54875 | + | 9.04207i | −0.163172 | + | 0.415755i | ||||
\(474\) | −7.70428 | − | 2.37646i | −0.353869 | − | 0.109154i | ||||
\(475\) | −18.7676 | − | 9.03800i | −0.861117 | − | 0.414692i | ||||
\(476\) | 2.19498 | + | 0.466808i | 0.100607 | + | 0.0213961i | ||||
\(477\) | −9.96403 | + | 4.79842i | −0.456222 | + | 0.219705i | ||||
\(478\) | −14.4463 | + | 2.17743i | −0.660759 | + | 0.0995934i | ||||
\(479\) | −17.1691 | − | 11.7057i | −0.784477 | − | 0.534848i | 0.103558 | − | 0.994623i | \(-0.466977\pi\) |
−0.888035 | + | 0.459776i | \(0.847930\pi\) | |||||||
\(480\) | 0.993576 | − | 0.921904i | 0.0453504 | − | 0.0420790i | ||||
\(481\) | −5.10682 | + | 3.48177i | −0.232851 | + | 0.158755i | ||||
\(482\) | −4.77705 | + | 20.9296i | −0.217589 | + | 0.953319i | ||||
\(483\) | −10.0197 | + | 15.1756i | −0.455912 | + | 0.690513i | ||||
\(484\) | −0.0374419 | − | 0.164044i | −0.00170190 | − | 0.00745653i | ||||
\(485\) | 12.2225 | + | 11.3408i | 0.554995 | + | 0.514960i | ||||
\(486\) | 22.1330 | + | 3.33602i | 1.00398 | + | 0.151325i | ||||
\(487\) | 25.9294 | − | 7.99818i | 1.17498 | − | 0.362432i | 0.355020 | − | 0.934859i | \(-0.384474\pi\) |
0.819956 | + | 0.572427i | \(0.193998\pi\) | |||||||
\(488\) | −1.88729 | + | 25.1842i | −0.0854337 | + | 1.14003i | ||||
\(489\) | 23.4338 | 1.05971 | ||||||||
\(490\) | −2.55494 | + | 12.9564i | −0.115420 | + | 0.585309i | ||||
\(491\) | 18.7828 | 0.847654 | 0.423827 | − | 0.905743i | \(-0.360686\pi\) | ||||
0.423827 | + | 0.905743i | \(0.360686\pi\) | |||||||
\(492\) | 0.118817 | − | 1.58550i | 0.00535668 | − | 0.0714800i | ||||
\(493\) | −35.4522 | + | 10.9356i | −1.59669 | + | 0.492513i | ||||
\(494\) | −10.8849 | − | 1.64063i | −0.489734 | − | 0.0738155i | ||||
\(495\) | −1.65132 | − | 1.53220i | −0.0742214 | − | 0.0688674i | ||||
\(496\) | 0.720843 | + | 3.15822i | 0.0323668 | + | 0.141808i | ||||
\(497\) | 13.1881 | + | 4.95123i | 0.591568 | + | 0.222093i | ||||
\(498\) | −0.0729098 | + | 0.319439i | −0.00326717 | + | 0.0143144i | ||||
\(499\) | −22.9623 | + | 15.6554i | −1.02793 | + | 0.700833i | −0.955031 | − | 0.296506i | \(-0.904178\pi\) |
−0.0729019 | + | 0.997339i | \(0.523226\pi\) | |||||||
\(500\) | −1.32089 | + | 1.22561i | −0.0590719 | + | 0.0548107i | ||||
\(501\) | −1.38734 | − | 0.945869i | −0.0619816 | − | 0.0422583i | ||||
\(502\) | −1.12118 | + | 0.168991i | −0.0500407 | + | 0.00754243i | ||||
\(503\) | −4.55722 | + | 2.19464i | −0.203196 | + | 0.0978543i | −0.532715 | − | 0.846295i | \(-0.678828\pi\) |
0.329518 | + | 0.944149i | \(0.393114\pi\) | |||||||
\(504\) | 9.69266 | − | 7.96796i | 0.431745 | − | 0.354921i | ||||
\(505\) | −9.50031 | − | 4.57511i | −0.422758 | − | 0.203590i | ||||
\(506\) | 8.67897 | + | 2.67711i | 0.385827 | + | 0.119012i | ||||
\(507\) | 4.70101 | − | 11.9780i | 0.208779 | − | 0.531960i | ||||
\(508\) | 0.950900 | + | 1.64701i | 0.0421894 | + | 0.0730741i | ||||
\(509\) | −16.7957 | + | 29.0910i | −0.744456 | + | 1.28944i | 0.205992 | + | 0.978554i | \(0.433958\pi\) |
−0.950448 | + | 0.310882i | \(0.899376\pi\) | |||||||
\(510\) | 6.60713 | + | 8.28508i | 0.292569 | + | 0.366870i | ||||
\(511\) | 13.0686 | − | 5.35435i | 0.578120 | − | 0.236862i | ||||
\(512\) | −11.9401 | + | 14.9724i | −0.527683 | + | 0.661693i | ||||
\(513\) | −12.0146 | − | 30.6126i | −0.530456 | − | 1.35158i | ||||
\(514\) | 0.635840 | + | 8.48469i | 0.0280457 | + | 0.374244i | ||||
\(515\) | 1.90358 | + | 25.4016i | 0.0838819 | + | 1.11933i | ||||
\(516\) | 0.665392 | + | 1.69539i | 0.0292922 | + | 0.0746354i | ||||
\(517\) | −4.69284 | + | 5.88464i | −0.206391 | + | 0.258806i | ||||
\(518\) | 18.4865 | − | 7.57412i | 0.812250 | − | 0.332788i | ||||
\(519\) | −2.03444 | − | 2.55111i | −0.0893021 | − | 0.111981i | ||||
\(520\) | 2.08258 | − | 3.60713i | 0.0913271 | − | 0.158183i | ||||
\(521\) | −9.24549 | − | 16.0137i | −0.405052 | − | 0.701571i | 0.589275 | − | 0.807932i | \(-0.299413\pi\) |
−0.994328 | + | 0.106361i | \(0.966080\pi\) | |||||||
\(522\) | 6.96174 | − | 17.7382i | 0.304707 | − | 0.776381i | ||||
\(523\) | 22.2890 | + | 6.87524i | 0.974629 | + | 0.300633i | 0.740860 | − | 0.671659i | \(-0.234418\pi\) |
0.233768 | + | 0.972292i | \(0.424894\pi\) | |||||||
\(524\) | −1.38923 | − | 0.669018i | −0.0606888 | − | 0.0292262i | ||||
\(525\) | 7.64904 | − | 6.28799i | 0.333832 | − | 0.274430i | ||||
\(526\) | 25.0290 | − | 12.0533i | 1.09131 | − | 0.525550i | ||||
\(527\) | −3.74796 | + | 0.564914i | −0.163264 | + | 0.0246080i | ||||
\(528\) | 3.96659 | + | 2.70438i | 0.172624 | + | 0.117693i | ||||
\(529\) | −11.0287 | + | 10.2332i | −0.479509 | + | 0.444920i | ||||
\(530\) | 9.80428 | − | 6.68445i | 0.425871 | − | 0.290354i | ||||
\(531\) | −4.65958 | + | 20.4150i | −0.202209 | + | 0.885934i | ||||
\(532\) | 2.58493 | + | 0.970464i | 0.112071 | + | 0.0420750i | ||||
\(533\) | −2.27432 | − | 9.96444i | −0.0985116 | − | 0.431608i | ||||
\(534\) | 4.88037 | + | 4.52832i | 0.211194 | + | 0.195960i | ||||
\(535\) | −3.08816 | − | 0.465465i | −0.133513 | − | 0.0201238i | ||||
\(536\) | 10.0874 | − | 3.11155i | 0.435709 | − | 0.134398i | ||||
\(537\) | 1.67441 | − | 22.3435i | 0.0722562 | − | 0.964191i | ||||
\(538\) | −36.9352 | −1.59239 | ||||||||
\(539\) | −6.99691 | + | 0.207881i | −0.301378 | + | 0.00895407i | ||||
\(540\) | −1.14305 | −0.0491888 | ||||||||
\(541\) | 3.40974 | − | 45.4998i | 0.146596 | − | 1.95619i | −0.120991 | − | 0.992654i | \(-0.538607\pi\) |
0.267587 | − | 0.963534i | \(-0.413774\pi\) | |||||||
\(542\) | 11.7247 | − | 3.61658i | 0.503617 | − | 0.155345i | ||||
\(543\) | −15.6710 | − | 2.36203i | −0.672508 | − | 0.101364i | ||||
\(544\) | 3.50811 | + | 3.25505i | 0.150409 | + | 0.139559i | ||||
\(545\) | 2.90869 | + | 12.7438i | 0.124595 | + | 0.545885i | ||||
\(546\) | 2.88311 | − | 4.36669i | 0.123386 | − | 0.186877i | ||||
\(547\) | −7.83003 | + | 34.3056i | −0.334788 | + | 1.46680i | 0.474952 | + | 0.880012i | \(0.342465\pi\) |
−0.809740 | + | 0.586789i | \(0.800392\pi\) | |||||||
\(548\) | −2.95017 | + | 2.01139i | −0.126025 | + | 0.0859223i | ||||
\(549\) | 12.0682 | − | 11.1977i | 0.515059 | − | 0.477905i | ||||
\(550\) | −4.08615 | − | 2.78589i | −0.174234 | − | 0.118791i | ||||
\(551\) | −45.1386 | + | 6.80355i | −1.92297 | + | 0.289841i | ||||
\(552\) | −16.7029 | + | 8.04370i | −0.710923 | + | 0.342362i | ||||
\(553\) | 12.7157 | + | 2.70426i | 0.540727 | + | 0.114997i | ||||
\(554\) | −14.8595 | − | 7.15597i | −0.631321 | − | 0.304028i | ||||
\(555\) | 6.99580 | + | 2.15792i | 0.296955 | + | 0.0915985i | ||||
\(556\) | 0.250643 | − | 0.638628i | 0.0106296 | − | 0.0270838i | ||||
\(557\) | 20.6554 | + | 35.7763i | 0.875199 | + | 1.51589i | 0.856551 | + | 0.516063i | \(0.172603\pi\) |
0.0186485 | + | 0.999826i | \(0.494064\pi\) | |||||||
\(558\) | 0.973380 | − | 1.68594i | 0.0412065 | − | 0.0713717i | ||||
\(559\) | 7.29971 | + | 9.15354i | 0.308745 | + | 0.387154i | ||||
\(560\) | −9.77288 | + | 10.8515i | −0.412980 | + | 0.458560i | ||||
\(561\) | −3.50223 | + | 4.39165i | −0.147864 | + | 0.185416i | ||||
\(562\) | −3.45111 | − | 8.79330i | −0.145576 | − | 0.370923i | ||||
\(563\) | 2.54680 | + | 33.9847i | 0.107335 | + | 1.43229i | 0.747609 | + | 0.664139i | \(0.231202\pi\) |
−0.640274 | + | 0.768146i | \(0.721179\pi\) | |||||||
\(564\) | 0.105464 | + | 1.40732i | 0.00444084 | + | 0.0592588i | ||||
\(565\) | 2.75558 | + | 7.02109i | 0.115928 | + | 0.295380i | ||||
\(566\) | −7.71879 | + | 9.67906i | −0.324445 | + | 0.406841i | ||||
\(567\) | 1.67366 | + | 0.100454i | 0.0702870 | + | 0.00421869i | ||||
\(568\) | 8.95397 | + | 11.2279i | 0.375700 | + | 0.471113i | ||||
\(569\) | −4.89344 | + | 8.47568i | −0.205144 | + | 0.355319i | −0.950178 | − | 0.311706i | \(-0.899099\pi\) |
0.745035 | + | 0.667025i | \(0.232433\pi\) | |||||||
\(570\) | 6.51929 | + | 11.2917i | 0.273063 | + | 0.472959i | ||||
\(571\) | 4.31534 | − | 10.9953i | 0.180591 | − | 0.460139i | −0.811699 | − | 0.584076i | \(-0.801457\pi\) |
0.992290 | + | 0.123937i | \(0.0395521\pi\) | |||||||
\(572\) | −0.193798 | − | 0.0597789i | −0.00810312 | − | 0.00249948i | ||||
\(573\) | −20.0348 | − | 9.64825i | −0.836966 | − | 0.403062i | ||||
\(574\) | 0.490593 | + | 33.0323i | 0.0204769 | + | 1.37874i | ||||
\(575\) | 18.6643 | − | 8.98823i | 0.778353 | − | 0.374835i | ||||
\(576\) | 12.5502 | − | 1.89164i | 0.522925 | − | 0.0788183i | ||||
\(577\) | 3.03094 | + | 2.06646i | 0.126180 | + | 0.0860278i | 0.624765 | − | 0.780813i | \(-0.285195\pi\) |
−0.498586 | + | 0.866840i | \(0.666147\pi\) | |||||||
\(578\) | −9.07762 | + | 8.42280i | −0.377579 | + | 0.350342i | ||||
\(579\) | 24.9672 | − | 17.0223i | 1.03760 | − | 0.707423i | ||||
\(580\) | −0.353062 | + | 1.54686i | −0.0146601 | + | 0.0642301i | ||||
\(581\) | 0.0709746 | − | 0.523526i | 0.00294452 | − | 0.0217195i | ||||
\(582\) | 4.75175 | + | 20.8188i | 0.196966 | + | 0.862966i | ||||
\(583\) | 4.61080 | + | 4.27820i | 0.190960 | + | 0.177185i | ||||
\(584\) | 14.2369 | + | 2.14587i | 0.589129 | + | 0.0887969i | ||||
\(585\) | −2.59454 | + | 0.800309i | −0.107271 | + | 0.0330887i | ||||
\(586\) | 1.92914 | − | 25.7425i | 0.0796919 | − | 1.06341i | ||||
\(587\) | 36.6883 | 1.51429 | 0.757145 | − | 0.653247i | \(-0.226594\pi\) | ||||
0.757145 | + | 0.653247i | \(0.226594\pi\) | |||||||
\(588\) | −0.935196 | + | 0.920907i | −0.0385668 | + | 0.0379776i | ||||
\(589\) | −4.66358 | −0.192159 | ||||||||
\(590\) | 1.67902 | − | 22.4050i | 0.0691243 | − | 0.922400i | ||||
\(591\) | −27.7660 | + | 8.56469i | −1.14214 | + | 0.352304i | ||||
\(592\) | 21.8456 | + | 3.29270i | 0.897850 | + | 0.135329i | ||||
\(593\) | −19.1700 | − | 17.7872i | −0.787219 | − | 0.730433i | 0.180195 | − | 0.983631i | \(-0.442327\pi\) |
−0.967414 | + | 0.253198i | \(0.918518\pi\) | |||||||
\(594\) | −1.73736 | − | 7.61188i | −0.0712848 | − | 0.312319i | ||||
\(595\) | −11.8067 | − | 12.3516i | −0.484029 | − | 0.506365i | ||||
\(596\) | 0.140736 | − | 0.616606i | 0.00576479 | − | 0.0252572i | ||||
\(597\) | 3.15375 | − | 2.15019i | 0.129074 | − | 0.0880013i | ||||
\(598\) | 8.02487 | − | 7.44599i | 0.328161 | − | 0.304489i | ||||
\(599\) | −18.9289 | − | 12.9055i | −0.773412 | − | 0.527303i | 0.111106 | − | 0.993809i | \(-0.464561\pi\) |
−0.884518 | + | 0.466505i | \(0.845513\pi\) | |||||||
\(600\) | 9.98179 | − | 1.50451i | 0.407505 | − | 0.0614215i | ||||
\(601\) | −14.6458 | + | 7.05303i | −0.597413 | + | 0.287699i | −0.708051 | − | 0.706162i | \(-0.750425\pi\) |
0.110637 | + | 0.993861i | \(0.464711\pi\) | |||||||
\(602\) | −16.9238 | − | 33.8475i | −0.689764 | − | 1.37952i | ||||
\(603\) | −6.19997 | − | 2.98575i | −0.252482 | − | 0.121589i | ||||
\(604\) | −1.04364 | − | 0.321920i | −0.0424651 | − | 0.0130987i | ||||
\(605\) | −0.468071 | + | 1.19262i | −0.0190298 | + | 0.0484871i | ||||
\(606\) | −6.75236 | − | 11.6954i | −0.274296 | − | 0.475095i | ||||
\(607\) | 5.31623 | − | 9.20798i | 0.215779 | − | 0.373740i | −0.737734 | − | 0.675091i | \(-0.764104\pi\) |
0.953513 | + | 0.301351i | \(0.0974375\pi\) | |||||||
\(608\) | 3.67126 | + | 4.60361i | 0.148889 | + | 0.186701i | ||||
\(609\) | 6.08732 | − | 20.8278i | 0.246671 | − | 0.843987i | ||||
\(610\) | −11.0134 | + | 13.8104i | −0.445921 | + | 0.559167i | ||||
\(611\) | 3.31440 | + | 8.44494i | 0.134086 | + | 0.341646i | ||||
\(612\) | −0.111447 | − | 1.48715i | −0.00450496 | − | 0.0601145i | ||||
\(613\) | 2.24331 | + | 29.9349i | 0.0906065 | + | 1.20906i | 0.838373 | + | 0.545098i | \(0.183507\pi\) |
−0.747766 | + | 0.663962i | \(0.768874\pi\) | |||||||
\(614\) | 16.9619 | + | 43.2181i | 0.684525 | + | 1.74414i | ||||
\(615\) | −7.54811 | + | 9.46503i | −0.304369 | + | 0.381667i | ||||
\(616\) | −6.23245 | − | 3.47594i | −0.251113 | − | 0.140050i | ||||
\(617\) | 17.9817 | + | 22.5484i | 0.723917 | + | 0.907764i | 0.998553 | − | 0.0537848i | \(-0.0171285\pi\) |
−0.274635 | + | 0.961549i | \(0.588557\pi\) | |||||||
\(618\) | −16.3119 | + | 28.2530i | −0.656160 | + | 1.13650i | ||||
\(619\) | 13.1411 | + | 22.7610i | 0.528184 | + | 0.914842i | 0.999460 | + | 0.0328560i | \(0.0104603\pi\) |
−0.471276 | + | 0.881986i | \(0.656206\pi\) | |||||||
\(620\) | −0.0592204 | + | 0.150891i | −0.00237835 | + | 0.00605993i | ||||
\(621\) | 31.2518 | + | 9.63991i | 1.25409 | + | 0.386836i | ||||
\(622\) | −8.53818 | − | 4.11177i | −0.342350 | − | 0.164867i | ||||
\(623\) | −8.49132 | − | 6.56770i | −0.340198 | − | 0.263129i | ||||
\(624\) | 5.21340 | − | 2.51064i | 0.208703 | − | 0.100506i | ||||
\(625\) | −3.03836 | + | 0.457959i | −0.121534 | + | 0.0183184i | ||||
\(626\) | −9.54407 | − | 6.50704i | −0.381458 | − | 0.260073i | ||||
\(627\) | −5.06636 | + | 4.70089i | −0.202331 | + | 0.187736i | ||||
\(628\) | 2.78791 | − | 1.90076i | 0.111250 | − | 0.0758488i | ||||
\(629\) | −5.75197 | + | 25.2010i | −0.229346 | + | 1.00483i | ||||
\(630\) | 8.74086 | − | 0.785730i | 0.348244 | − | 0.0313042i | ||||
\(631\) | −1.45001 | − | 6.35292i | −0.0577241 | − | 0.252906i | 0.937830 | − | 0.347094i | \(-0.112832\pi\) |
−0.995554 | + | 0.0941884i | \(0.969974\pi\) | |||||||
\(632\) | 9.71519 | + | 9.01438i | 0.386450 | + | 0.358573i | ||||
\(633\) | −0.856681 | − | 0.129124i | −0.0340500 | − | 0.00513221i | ||||
\(634\) | 0.207320 | − | 0.0639497i | 0.00823372 | − | 0.00253977i | ||||
\(635\) | 1.08215 | − | 14.4402i | 0.0429437 | − | 0.573044i | ||||
\(636\) | 1.17935 | 0.0467643 | ||||||||
\(637\) | −3.99974 | + | 7.42887i | −0.158475 | + | 0.294342i | ||||
\(638\) | −10.8377 | −0.429067 | ||||||||
\(639\) | 0.699594 | − | 9.33544i | 0.0276755 | − | 0.369304i | ||||
\(640\) | −15.3376 | + | 4.73102i | −0.606272 | + | 0.187010i | ||||
\(641\) | −23.7151 | − | 3.57448i | −0.936691 | − | 0.141183i | −0.337081 | − | 0.941476i | \(-0.609440\pi\) |
−0.599610 | + | 0.800292i | \(0.704678\pi\) | |||||||
\(642\) | −2.93204 | − | 2.72054i | −0.115718 | − | 0.107371i | ||||
\(643\) | −1.61470 | − | 7.07445i | −0.0636774 | − | 0.278989i | 0.933058 | − | 0.359726i | \(-0.117130\pi\) |
−0.996735 | + | 0.0807368i | \(0.974273\pi\) | |||||||
\(644\) | −2.35737 | + | 1.40811i | −0.0928933 | + | 0.0554874i | ||||
\(645\) | 3.08586 | − | 13.5200i | 0.121505 | − | 0.532350i | ||||
\(646\) | −38.0371 | + | 25.9333i | −1.49655 | + | 1.02033i | ||||
\(647\) | −1.14196 | + | 1.05958i | −0.0448950 | + | 0.0416565i | −0.702301 | − | 0.711880i | \(-0.747844\pi\) |
0.657406 | + | 0.753536i | \(0.271654\pi\) | |||||||
\(648\) | 1.41229 | + | 0.962881i | 0.0554799 | + | 0.0378255i | ||||
\(649\) | 11.7764 | − | 1.77501i | 0.462266 | − | 0.0696754i | ||||
\(650\) | −5.37053 | + | 2.58631i | −0.210650 | + | 0.101444i | ||||
\(651\) | 0.932089 | − | 2.01138i | 0.0365315 | − | 0.0788321i | ||||
\(652\) | 3.18805 | + | 1.53528i | 0.124854 | + | 0.0601263i | ||||
\(653\) | −29.1194 | − | 8.98215i | −1.13953 | − | 0.351499i | −0.333138 | − | 0.942878i | \(-0.608107\pi\) |
−0.806393 | + | 0.591379i | \(0.798584\pi\) | |||||||
\(654\) | −6.11622 | + | 15.5839i | −0.239163 | + | 0.609378i | ||||
\(655\) | 5.87030 | + | 10.1677i | 0.229372 | + | 0.397283i | ||||
\(656\) | −18.2662 | + | 31.6380i | −0.713175 | + | 1.23526i | ||||
\(657\) | −5.85179 | − | 7.33791i | −0.228300 | − | 0.286279i | ||||
\(658\) | −4.80051 | − | 28.9276i | −0.187143 | − | 1.12772i | ||||
\(659\) | −4.67540 | + | 5.86277i | −0.182128 | + | 0.228381i | −0.864511 | − | 0.502613i | \(-0.832372\pi\) |
0.682384 | + | 0.730994i | \(0.260943\pi\) | |||||||
\(660\) | 0.0877634 | + | 0.223617i | 0.00341619 | + | 0.00870430i | ||||
\(661\) | 3.09263 | + | 41.2683i | 0.120289 | + | 1.60515i | 0.651997 | + | 0.758221i | \(0.273931\pi\) |
−0.531708 | + | 0.846928i | \(0.678450\pi\) | |||||||
\(662\) | −1.55024 | − | 20.6865i | −0.0602517 | − | 0.804003i | ||||
\(663\) | 2.47350 | + | 6.30238i | 0.0960629 | + | 0.244764i | ||||
\(664\) | 0.335809 | − | 0.421092i | 0.0130319 | − | 0.0163415i | ||||
\(665\) | −12.0997 | − | 17.1928i | −0.469206 | − | 0.666707i | ||||
\(666\) | −8.27780 | − | 10.3800i | −0.320758 | − | 0.402218i | ||||
\(667\) | 22.6985 | − | 39.3150i | 0.878891 | − | 1.52228i | ||||
\(668\) | −0.126771 | − | 0.219573i | −0.00490490 | − | 0.00849553i | ||||
\(669\) | −4.93674 | + | 12.5786i | −0.190865 | + | 0.486317i | ||||
\(670\) | 7.05552 | + | 2.17634i | 0.272578 | + | 0.0840793i | ||||
\(671\) | −8.43596 | − | 4.06254i | −0.325667 | − | 0.156833i | ||||
\(672\) | −2.71927 | + | 0.663291i | −0.104898 | + | 0.0255870i | ||||
\(673\) | 34.9682 | − | 16.8398i | 1.34792 | − | 0.649126i | 0.386015 | − | 0.922493i | \(-0.373851\pi\) |
0.961910 | + | 0.273366i | \(0.0881370\pi\) | |||||||
\(674\) | −44.7083 | + | 6.73869i | −1.72210 | + | 0.259565i | ||||
\(675\) | −14.7137 | − | 10.0316i | −0.566330 | − | 0.386117i | ||||
\(676\) | 1.42429 | − | 1.32155i | 0.0547805 | − | 0.0508289i | ||||
\(677\) | −11.8719 | + | 8.09414i | −0.456275 | + | 0.311083i | −0.769558 | − | 0.638577i | \(-0.779523\pi\) |
0.313283 | + | 0.949660i | \(0.398571\pi\) | |||||||
\(678\) | −2.14953 | + | 9.41769i | −0.0825520 | + | 0.361684i | ||||
\(679\) | −10.6365 | − | 32.7478i | −0.408190 | − | 1.25675i | ||||
\(680\) | −3.87617 | − | 16.9826i | −0.148644 | − | 0.651254i | ||||
\(681\) | 7.47435 | + | 6.93518i | 0.286418 | + | 0.265757i | ||||
\(682\) | −1.09484 | − | 0.165021i | −0.0419236 | − | 0.00631897i | ||||
\(683\) | 34.4384 | − | 10.6228i | 1.31775 | − | 0.406472i | 0.445390 | − | 0.895337i | \(-0.353065\pi\) |
0.872360 | + | 0.488865i | \(0.162589\pi\) | |||||||
\(684\) | 0.137124 | − | 1.82979i | 0.00524306 | − | 0.0699638i | ||||
\(685\) | 27.1874 | 1.03878 | ||||||||
\(686\) | 17.6403 | − | 20.7974i | 0.673510 | − | 0.794050i | ||||
\(687\) | 21.4284 | 0.817543 | ||||||||
\(688\) | 3.12730 | − | 41.7309i | 0.119227 | − | 1.59098i | ||||
\(689\) | 7.24443 | − | 2.23461i | 0.275991 | − | 0.0851319i | ||||
\(690\) | −12.8220 | − | 1.93260i | −0.488123 | − | 0.0735728i | ||||
\(691\) | 3.56362 | + | 3.30655i | 0.135566 | + | 0.125787i | 0.745042 | − | 0.667018i | \(-0.232429\pi\) |
−0.609476 | + | 0.792805i | \(0.708620\pi\) | |||||||
\(692\) | −0.109638 | − | 0.480354i | −0.00416780 | − | 0.0182603i | ||||
\(693\) | 1.43704 | + | 4.42440i | 0.0545887 | + | 0.168069i | ||||
\(694\) | −3.48409 | + | 15.2648i | −0.132254 | + | 0.579444i | ||||
\(695\) | −4.31607 | + | 2.94265i | −0.163718 | + | 0.111621i | ||||
\(696\) | 16.2162 | − | 15.0464i | 0.614672 | − | 0.570333i | ||||
\(697\) | −35.3172 | − | 24.0789i | −1.33774 | − | 0.912053i | ||||
\(698\) | −5.57443 | + | 0.840210i | −0.210995 | + | 0.0318024i | ||||
\(699\) | 7.54843 | − | 3.63513i | 0.285508 | − | 0.137493i | ||||
\(700\) | 1.45258 | − | 0.354315i | 0.0549022 | − | 0.0133919i | ||||
\(701\) | −20.9743 | − | 10.1007i | −0.792187 | − | 0.381497i | −0.00638868 | − | 0.999980i | \(-0.502034\pi\) |
−0.785799 | + | 0.618482i | \(0.787748\pi\) | |||||||
\(702\) | −8.99253 | − | 2.77383i | −0.339401 | − | 0.104691i | ||||
\(703\) | −11.6196 | + | 29.6062i | −0.438241 | + | 1.11662i | ||||
\(704\) | −3.60923 | − | 6.25137i | −0.136028 | − | 0.235608i | ||||
\(705\) | 5.37285 | − | 9.30605i | 0.202353 | − | 0.350486i | ||||
\(706\) | −21.8951 | − | 27.4556i | −0.824034 | − | 1.03331i | ||||
\(707\) | 12.5323 | + | 17.8074i | 0.471325 | + | 0.669718i | ||||
\(708\) | 1.39227 | − | 1.74585i | 0.0523247 | − | 0.0656131i | ||||
\(709\) | −7.67942 | − | 19.5668i | −0.288407 | − | 0.734848i | −0.999496 | − | 0.0317464i | \(-0.989893\pi\) |
0.711089 | − | 0.703102i | \(-0.248202\pi\) | |||||||
\(710\) | 0.750640 | + | 10.0166i | 0.0281710 | + | 0.375916i | ||||
\(711\) | −0.645620 | − | 8.61520i | −0.0242126 | − | 0.323095i | ||||
\(712\) | −3.99821 | − | 10.1873i | −0.149839 | − | 0.381784i | ||||
\(713\) | 2.89168 | − | 3.62605i | 0.108294 | − | 0.135797i | ||||
\(714\) | −3.58258 | − | 21.5884i | −0.134075 | − | 0.807926i | ||||
\(715\) | 0.962812 | + | 1.20733i | 0.0360071 | + | 0.0451515i | ||||
\(716\) | 1.69164 | − | 2.93001i | 0.0632197 | − | 0.109500i | ||||
\(717\) | 5.52795 | + | 9.57469i | 0.206445 | + | 0.357573i | ||||
\(718\) | −3.94297 | + | 10.0465i | −0.147150 | + | 0.374933i | ||||
\(719\) | 39.8712 | + | 12.2986i | 1.48694 | + | 0.458662i | 0.928642 | − | 0.370976i | \(-0.120977\pi\) |
0.558302 | + | 0.829638i | \(0.311453\pi\) | |||||||
\(720\) | 8.74387 | + | 4.21083i | 0.325865 | + | 0.156928i | ||||
\(721\) | 22.1174 | − | 47.7276i | 0.823693 | − | 1.77747i | ||||
\(722\) | −25.8270 | + | 12.4376i | −0.961181 | + | 0.462880i | ||||
\(723\) | 16.0646 | − | 2.42135i | 0.597449 | − | 0.0900510i | ||||
\(724\) | −1.97721 | − | 1.34804i | −0.0734825 | − | 0.0500995i | ||||
\(725\) | −18.1204 | + | 16.8132i | −0.672973 | + | 0.624428i | ||||
\(726\) | −1.35574 | + | 0.924328i | −0.0503162 | + | 0.0343050i | ||||
\(727\) | 5.55619 | − | 24.3433i | 0.206068 | − | 0.902842i | −0.761086 | − | 0.648651i | \(-0.775334\pi\) |
0.967154 | − | 0.254191i | \(-0.0818093\pi\) | |||||||
\(728\) | −7.38431 | + | 4.41083i | −0.273681 | + | 0.163476i | ||||
\(729\) | −4.19225 | − | 18.3674i | −0.155268 | − | 0.680275i | ||||
\(730\) | 7.38209 | + | 6.84958i | 0.273223 | + | 0.253514i | ||||
\(731\) | 48.4171 | + | 7.29771i | 1.79077 | + | 0.269915i | ||||
\(732\) | −1.67761 | + | 0.517473i | −0.0620061 | + | 0.0191264i | ||||
\(733\) | −0.620752 | + | 8.28336i | −0.0229280 | + | 0.305953i | 0.973936 | + | 0.226822i | \(0.0728336\pi\) |
−0.996864 | + | 0.0791309i | \(0.974785\pi\) | |||||||
\(734\) | −21.7562 | −0.803037 | ||||||||
\(735\) | 9.83348 | − | 1.78230i | 0.362713 | − | 0.0657410i | ||||
\(736\) | −5.85581 | −0.215848 | ||||||||
\(737\) | −0.292477 | + | 3.90283i | −0.0107735 | + | 0.143763i | ||||
\(738\) | 20.9790 | − | 6.47116i | 0.772248 | − | 0.238207i | ||||
\(739\) | 31.3890 | + | 4.73113i | 1.15466 | + | 0.174037i | 0.698332 | − | 0.715774i | \(-0.253926\pi\) |
0.456330 | + | 0.889811i | \(0.349164\pi\) | |||||||
\(740\) | 0.810364 | + | 0.751908i | 0.0297896 | + | 0.0276407i | ||||
\(741\) | 1.85366 | + | 8.12144i | 0.0680961 | + | 0.298348i | ||||
\(742\) | −24.4061 | + | 2.19391i | −0.895977 | + | 0.0805408i | ||||
\(743\) | −6.82340 | + | 29.8953i | −0.250326 | + | 1.09675i | 0.680919 | + | 0.732358i | \(0.261580\pi\) |
−0.931246 | + | 0.364392i | \(0.881277\pi\) | |||||||
\(744\) | 1.86729 | − | 1.27310i | 0.0684583 | − | 0.0466741i | ||||
\(745\) | −3.53017 | + | 3.27552i | −0.129336 | + | 0.120006i | ||||
\(746\) | 15.2463 | + | 10.3948i | 0.558208 | + | 0.380580i | ||||
\(747\) | −0.347176 | + | 0.0523284i | −0.0127025 | + | 0.00191460i | ||||
\(748\) | −0.764182 | + | 0.368011i | −0.0279413 | + | 0.0134558i | ||||
\(749\) | 5.10143 | + | 3.94576i | 0.186402 | + | 0.144175i | ||||
\(750\) | 15.8316 | + | 7.62410i | 0.578088 | + | 0.278393i | ||||
\(751\) | 13.7061 | + | 4.22776i | 0.500142 | + | 0.154273i | 0.534554 | − | 0.845135i | \(-0.320480\pi\) |
−0.0344122 | + | 0.999408i | \(0.510956\pi\) | |||||||
\(752\) | 11.8468 | − | 30.1852i | 0.432010 | − | 1.10074i | ||||
\(753\) | 0.429025 | + | 0.743093i | 0.0156345 | + | 0.0270798i | ||||
\(754\) | −6.53138 | + | 11.3127i | −0.237859 | + | 0.411983i | ||||
\(755\) | 5.18492 | + | 6.50168i | 0.188698 | + | 0.236620i | ||||
\(756\) | 2.06153 | + | 1.14975i | 0.0749772 | + | 0.0418160i | ||||
\(757\) | 2.98035 | − | 3.73724i | 0.108323 | − | 0.135832i | −0.724715 | − | 0.689049i | \(-0.758028\pi\) |
0.833037 | + | 0.553217i | \(0.186600\pi\) | |||||||
\(758\) | −5.28634 | − | 13.4694i | −0.192008 | − | 0.489229i | ||||
\(759\) | −0.513640 | − | 6.85405i | −0.0186439 | − | 0.248786i | ||||
\(760\) | −1.60167 | − | 21.3729i | −0.0580988 | − | 0.775275i | ||||
\(761\) | −17.8707 | − | 45.5339i | −0.647813 | − | 1.65060i | −0.754493 | − | 0.656308i | \(-0.772117\pi\) |
0.106679 | − | 0.994293i | \(-0.465978\pi\) | |||||||
\(762\) | 11.5632 | − | 14.4998i | 0.418890 | − | 0.525272i | ||||
\(763\) | 7.57261 | − | 25.9098i | 0.274147 | − | 0.937997i | ||||
\(764\) | −2.09352 | − | 2.62519i | −0.0757409 | − | 0.0949761i | ||||
\(765\) | −5.67763 | + | 9.83394i | −0.205275 | + | 0.355547i | ||||
\(766\) | −27.1726 | − | 47.0644i | −0.981787 | − | 1.70050i | ||||
\(767\) | 5.24433 | − | 13.3623i | 0.189362 | − | 0.482486i | ||||
\(768\) | −4.27050 | − | 1.31728i | −0.154098 | − | 0.0475331i | ||||
\(769\) | −30.9667 | − | 14.9128i | −1.11669 | − | 0.537768i | −0.217820 | − | 0.975989i | \(-0.569894\pi\) |
−0.898867 | + | 0.438221i | \(0.855609\pi\) | |||||||
\(770\) | −2.23221 | − | 4.46439i | −0.0804432 | − | 0.160886i | ||||
\(771\) | 5.80124 | − | 2.79373i | 0.208927 | − | 0.100614i | ||||
\(772\) | 4.51188 | − | 0.680057i | 0.162386 | − | 0.0244758i | ||||
\(773\) | −9.41344 | − | 6.41798i | −0.338578 | − | 0.230839i | 0.382080 | − | 0.924129i | \(-0.375208\pi\) |
−0.720658 | + | 0.693291i | \(0.756160\pi\) | |||||||
\(774\) | −18.4354 | + | 17.1055i | −0.662645 | + | 0.614845i | ||||
\(775\) | −2.08656 | + | 1.42259i | −0.0749515 | + | 0.0511010i | ||||
\(776\) | 7.81092 | − | 34.2219i | 0.280396 | − | 1.22849i | ||||
\(777\) | −10.4467 | − | 10.9287i | −0.374772 | − | 0.392066i | ||||
\(778\) | 10.6646 | + | 46.7247i | 0.382345 | + | 1.67516i | ||||
\(779\) | −38.5534 | − | 35.7723i | −1.38132 | − | 1.28168i | ||||
\(780\) | 0.286310 | + | 0.0431542i | 0.0102515 | + | 0.00154517i | ||||
\(781\) | −5.08781 | + | 1.56938i | −0.182056 | + | 0.0561569i | ||||
\(782\) | 3.42137 | − | 45.6550i | 0.122348 | − | 1.63262i | ||||
\(783\) | −39.0250 | −1.39464 | ||||||||
\(784\) | 28.5410 | − | 9.74096i | 1.01932 | − | 0.347892i | ||||
\(785\) | −25.6921 | −0.916989 | ||||||||
\(786\) | −1.12368 | + | 14.9945i | −0.0400804 | + | 0.534836i | ||||
\(787\) | 32.9355 | − | 10.1593i | 1.17402 | − | 0.362139i | 0.354430 | − | 0.935083i | \(-0.384675\pi\) |
0.819595 | + | 0.572944i | \(0.194199\pi\) | |||||||
\(788\) | −4.33855 | − | 0.653931i | −0.154554 | − | 0.0232953i | ||||
\(789\) | −15.4109 | − | 14.2992i | −0.548641 | − | 0.509064i | ||||
\(790\) | 2.06271 | + | 9.03731i | 0.0733878 | + | 0.321533i | ||||
\(791\) | 2.09247 | − | 15.4346i | 0.0743998 | − | 0.548791i | ||||
\(792\) | −1.05530 | + | 4.62355i | −0.0374983 | + | 0.164291i | ||||
\(793\) | −9.32458 | + | 6.35739i | −0.331126 | + | 0.225758i | ||||
\(794\) | 21.2629 | − | 19.7291i | 0.754594 | − | 0.700161i | ||||
\(795\) | −7.41950 | − | 5.05853i | −0.263143 | − | 0.179408i | ||||
\(796\) | 0.569922 | − | 0.0859019i | 0.0202004 | − | 0.00304471i | ||||
\(797\) | 17.1547 | − | 8.26126i | 0.607650 | − | 0.292629i | −0.104644 | − | 0.994510i | \(-0.533370\pi\) |
0.712294 | + | 0.701881i | \(0.247656\pi\) | |||||||
\(798\) | −0.399854 | − | 26.9227i | −0.0141547 | − | 0.953052i | ||||
\(799\) | 34.1835 | + | 16.4619i | 1.20933 | + | 0.582380i | ||||
\(800\) | 3.04688 | + | 0.939838i | 0.107723 | + | 0.0332283i | ||||
\(801\) | −2.60633 | + | 6.64083i | −0.0920902 | + | 0.234642i | ||||
\(802\) | 15.7224 | + | 27.2319i | 0.555176 | + | 0.961593i | ||||
\(803\) | −2.66898 | + | 4.62281i | −0.0941863 | + | 0.163135i | ||||
\(804\) | 0.457538 | + | 0.573735i | 0.0161361 | + | 0.0202341i | ||||
\(805\) | 20.8703 | + | 1.25266i | 0.735583 | + | 0.0441504i | ||||
\(806\) | −0.832065 | + | 1.04338i | −0.0293082 | + | 0.0367514i | ||||
\(807\) | 10.2117 | + | 26.0190i | 0.359469 | + | 0.915911i | ||||
\(808\) | 1.65894 | + | 22.1370i | 0.0583612 | + | 0.778776i | ||||
\(809\) | −1.76128 | − | 23.5027i | −0.0619234 | − | 0.826310i | −0.938551 | − | 0.345141i | \(-0.887831\pi\) |
0.876628 | − | 0.481169i | \(-0.159788\pi\) | |||||||
\(810\) | 0.436783 | + | 1.11290i | 0.0153470 | + | 0.0391035i | ||||
\(811\) | 9.97650 | − | 12.5101i | 0.350322 | − | 0.439290i | −0.575183 | − | 0.818025i | \(-0.695069\pi\) |
0.925505 | + | 0.378734i | \(0.123641\pi\) | |||||||
\(812\) | 2.19270 | − | 2.43471i | 0.0769487 | − | 0.0854414i | ||||
\(813\) | −5.78928 | − | 7.25953i | −0.203039 | − | 0.254603i | ||||
\(814\) | −3.77547 | + | 6.53931i | −0.132330 | + | 0.229203i | ||||
\(815\) | −13.4713 | − | 23.3331i | −0.471881 | − | 0.817321i | ||||
\(816\) | 8.84118 | − | 22.5270i | 0.309503 | − | 0.788601i | ||||
\(817\) | 57.5688 | + | 17.7576i | 2.01408 | + | 0.621261i | ||||
\(818\) | −4.33393 | − | 2.08711i | −0.151532 | − | 0.0729741i | ||||
\(819\) | 5.48437 | + | 1.16636i | 0.191639 | + | 0.0407560i | ||||
\(820\) | −1.64699 | + | 0.793149i | −0.0575154 | + | 0.0276980i | ||||
\(821\) | −30.3323 | + | 4.57186i | −1.05860 | + | 0.159559i | −0.655194 | − | 0.755460i | \(-0.727413\pi\) |
−0.403410 | + | 0.915019i | \(0.632175\pi\) | |||||||
\(822\) | 28.7694 | + | 19.6146i | 1.00345 | + | 0.684138i | ||||
\(823\) | −38.5459 | + | 35.7654i | −1.34363 | + | 1.24670i | −0.399658 | + | 0.916664i | \(0.630871\pi\) |
−0.943968 | + | 0.330038i | \(0.892938\pi\) | |||||||
\(824\) | 44.3086 | − | 30.2091i | 1.54356 | − | 1.05238i | ||||
\(825\) | −0.832795 | + | 3.64871i | −0.0289942 | + | 0.127032i | ||||
\(826\) | −25.5646 | + | 38.7196i | −0.889507 | + | 1.34723i | ||||
\(827\) | 7.31215 | + | 32.0366i | 0.254268 | + | 1.11402i | 0.927273 | + | 0.374385i | \(0.122146\pi\) |
−0.673005 | + | 0.739638i | \(0.734997\pi\) | |||||||
\(828\) | 1.33769 | + | 1.24119i | 0.0464878 | + | 0.0431344i | ||||
\(829\) | 13.2922 | + | 2.00348i | 0.461658 | + | 0.0695838i | 0.375754 | − | 0.926720i | \(-0.377384\pi\) |
0.0859046 | + | 0.996303i | \(0.472622\pi\) | |||||||
\(830\) | 0.359979 | − | 0.111039i | 0.0124950 | − | 0.00385421i | ||||
\(831\) | −0.932716 | + | 12.4462i | −0.0323556 | + | 0.431755i | ||||
\(832\) | −8.70050 | −0.301635 | ||||||||
\(833\) | 8.86995 | + | 34.1526i | 0.307325 | + | 1.18332i | ||||
\(834\) | −6.69022 | −0.231663 | ||||||||
\(835\) | −0.144268 | + | 1.92512i | −0.00499260 | + | 0.0666216i | ||||
\(836\) | −0.997235 | + | 0.307606i | −0.0344901 | + | 0.0106388i | ||||
\(837\) | −3.94238 | − | 0.594218i | −0.136268 | − | 0.0205392i | ||||
\(838\) | −34.3359 | − | 31.8591i | −1.18611 | − | 1.10055i | ||||
\(839\) | 3.00444 | + | 13.1633i | 0.103725 | + | 0.454448i | 0.999941 | + | 0.0108312i | \(0.00344775\pi\) |
−0.896217 | + | 0.443617i | \(0.853695\pi\) | |||||||
\(840\) | 9.53813 | + | 3.58091i | 0.329097 | + | 0.123553i | ||||
\(841\) | −5.60086 | + | 24.5390i | −0.193133 | + | 0.846172i | ||||
\(842\) | 2.89273 | − | 1.97223i | 0.0996902 | − | 0.0679676i | ||||
\(843\) | −5.24028 | + | 4.86227i | −0.180485 | + | 0.167465i | ||||
\(844\) | −0.108087 | − | 0.0736927i | −0.00372052 | − | 0.00253661i | ||||
\(845\) | −14.6289 | + | 2.20496i | −0.503251 | + | 0.0758528i | ||||
\(846\) | −17.5572 | + | 8.45512i | −0.603630 | + | 0.290693i | ||||
\(847\) | 2.04381 | − | 1.68014i | 0.0702260 | − | 0.0577301i | ||||
\(848\) | −24.4145 | − | 11.7574i | −0.838398 | − | 0.403751i | ||||
\(849\) | 8.95247 | + | 2.76147i | 0.307248 | + | 0.0947734i | ||||
\(850\) | −9.10766 | + | 23.2059i | −0.312390 | + | 0.795957i | ||||
\(851\) | −15.8148 | − | 27.3921i | −0.542125 | − | 0.938987i | ||||
\(852\) | −0.499159 | + | 0.864569i | −0.0171009 | + | 0.0296196i | ||||
\(853\) | −16.2240 | − | 20.3443i | −0.555499 | − | 0.696574i | 0.422219 | − | 0.906494i | \(-0.361251\pi\) |
−0.977719 | + | 0.209920i | \(0.932680\pi\) | |||||||
\(854\) | 33.7546 | − | 13.8297i | 1.15506 | − | 0.473241i | ||||
\(855\) | −8.71109 | + | 10.9234i | −0.297913 | + | 0.373571i | ||||
\(856\) | 2.40205 | + | 6.12032i | 0.0821004 | + | 0.209188i | ||||
\(857\) | −0.287428 | − | 3.83546i | −0.00981836 | − | 0.131017i | 0.990141 | − | 0.140077i | \(-0.0447350\pi\) |
−0.999959 | + | 0.00906024i | \(0.997116\pi\) | |||||||
\(858\) | 0.147797 | + | 1.97221i | 0.00504570 | + | 0.0673302i | ||||
\(859\) | 3.37400 | + | 8.59681i | 0.115119 | + | 0.293319i | 0.976808 | − | 0.214119i | \(-0.0686879\pi\) |
−0.861688 | + | 0.507438i | \(0.830593\pi\) | |||||||
\(860\) | 1.30559 | − | 1.63716i | 0.0445202 | − | 0.0558266i | ||||
\(861\) | 23.1339 | − | 9.47822i | 0.788401 | − | 0.323017i | ||||
\(862\) | 1.66004 | + | 2.08162i | 0.0565411 | + | 0.0709003i | ||||
\(863\) | 11.1119 | − | 19.2464i | 0.378254 | − | 0.655155i | −0.612555 | − | 0.790428i | \(-0.709858\pi\) |
0.990808 | + | 0.135274i | \(0.0431914\pi\) | |||||||
\(864\) | 2.51694 | + | 4.35946i | 0.0856279 | + | 0.148312i | ||||
\(865\) | −1.37061 | + | 3.49225i | −0.0466020 | + | 0.118740i | ||||
\(866\) | 10.2613 | + | 3.16519i | 0.348693 | + | 0.107558i | ||||
\(867\) | 8.44318 | + | 4.06602i | 0.286745 | + | 0.138089i | ||||
\(868\) | 0.258583 | − | 0.212571i | 0.00877687 | − | 0.00721513i | ||||
\(869\) | −4.42698 | + | 2.13192i | −0.150175 | + | 0.0723204i | ||||
\(870\) | 15.2998 | − | 2.30607i | 0.518711 | − | 0.0781832i | ||||
\(871\) | 3.89763 | + | 2.65736i | 0.132066 | + | 0.0900412i | ||||
\(872\) | 20.1729 | − | 18.7177i | 0.683140 | − | 0.633861i | ||||
\(873\) | −18.9061 | + | 12.8899i | −0.639874 | + | 0.436259i | ||||
\(874\) | 12.5349 | − | 54.9191i | 0.424000 | − | 1.85767i | ||||
\(875\) | −26.5253 | − | 9.95841i | −0.896719 | − | 0.336656i | ||||
\(876\) | 0.222714 | + | 0.975776i | 0.00752482 | + | 0.0329684i | ||||
\(877\) | 4.07456 | + | 3.78064i | 0.137588 | + | 0.127663i | 0.745965 | − | 0.665985i | \(-0.231989\pi\) |
−0.608377 | + | 0.793648i | \(0.708179\pi\) | |||||||
\(878\) | 21.2888 | + | 3.20877i | 0.718461 | + | 0.108291i | ||||
\(879\) | −18.6677 | + | 5.75821i | −0.629645 | + | 0.194220i | ||||
\(880\) | 0.412483 | − | 5.50420i | 0.0139048 | − | 0.185546i | ||||
\(881\) | −18.9932 | −0.639897 | −0.319949 | − | 0.947435i | \(-0.603666\pi\) | ||||
−0.319949 | + | 0.947435i | \(0.603666\pi\) | |||||||
\(882\) | −16.5549 | − | 7.37503i | −0.557431 | − | 0.248330i | ||||
\(883\) | −41.7808 | −1.40604 | −0.703018 | − | 0.711172i | \(-0.748165\pi\) | ||||
−0.703018 | + | 0.711172i | \(0.748165\pi\) | |||||||
\(884\) | −0.0763980 | + | 1.01946i | −0.00256954 | + | 0.0342881i | ||||
\(885\) | −16.2474 | + | 5.01166i | −0.546150 | + | 0.168465i | ||||
\(886\) | −33.2723 | − | 5.01499i | −1.11780 | − | 0.168482i | ||||
\(887\) | 1.28357 | + | 1.19098i | 0.0430981 | + | 0.0399892i | 0.701428 | − | 0.712740i | \(-0.252546\pi\) |
−0.658330 | + | 0.752730i | \(0.728737\pi\) | |||||||
\(888\) | −3.42965 | − | 15.0263i | −0.115092 | − | 0.504250i | ||||
\(889\) | −16.4766 | + | 24.9551i | −0.552609 | + | 0.836968i | ||||
\(890\) | 1.70328 | − | 7.46258i | 0.0570942 | − | 0.250146i | ||||
\(891\) | −0.523605 | + | 0.356988i | −0.0175414 | + | 0.0119595i | ||||
\(892\) | −1.49571 | + | 1.38782i | −0.0500802 | + | 0.0464676i | ||||
\(893\) | 38.5708 | + | 26.2971i | 1.29072 | + | 0.880000i | ||||
\(894\) | −6.09875 | + | 0.919239i | −0.203973 | + | 0.0307440i | ||||
\(895\) | −23.2100 | + | 11.1773i | −0.775824 | + | 0.373617i | ||||
\(896\) | 32.4208 | + | 6.89495i | 1.08310 | + | 0.230344i | ||||
\(897\) | −7.46401 | − | 3.59448i | −0.249216 | − | 0.120016i | ||||
\(898\) | 8.21503 | + | 2.53400i | 0.274139 | + | 0.0845607i | ||||
\(899\) | −2.02186 | + | 5.15161i | −0.0674328 | + | 0.171816i | ||||
\(900\) | −0.496814 | − | 0.860507i | −0.0165605 | − | 0.0286836i | ||||
\(901\) | 15.8530 | − | 27.4582i | 0.528140 | − | 0.914765i | ||||
\(902\) | −7.78514 | − | 9.76226i | −0.259217 | − | 0.325048i | ||||
\(903\) | −19.1648 | + | 21.2800i | −0.637765 | + | 0.708154i | ||||
\(904\) | 9.90033 | − | 12.4146i | 0.329280 | − | 0.412904i | ||||
\(905\) | 6.65690 | + | 16.9615i | 0.221283 | + | 0.563819i | ||||
\(906\) | 0.795913 | + | 10.6207i | 0.0264424 | + | 0.352850i | ||||
\(907\) | 3.23216 | + | 43.1302i | 0.107322 | + | 1.43212i | 0.747690 | + | 0.664048i | \(0.231163\pi\) |
−0.640368 | + | 0.768068i | \(0.721218\pi\) | |||||||
\(908\) | 0.562483 | + | 1.43318i | 0.0186667 | + | 0.0475619i | ||||
\(909\) | 9.02253 | − | 11.3139i | 0.299258 | − | 0.375258i | ||||
\(910\) | −6.00532 | − | 0.360445i | −0.199074 | − | 0.0119486i | ||||
\(911\) | −20.7132 | − | 25.9736i | −0.686260 | − | 0.860543i | 0.309654 | − | 0.950849i | \(-0.399787\pi\) |
−0.995914 | + | 0.0903063i | \(0.971215\pi\) | |||||||
\(912\) | 14.8877 | − | 25.7863i | 0.492982 | − | 0.853870i | ||||
\(913\) | 0.0998422 | + | 0.172932i | 0.00330429 | + | 0.00572321i | ||||
\(914\) | 19.4724 | − | 49.6149i | 0.644090 | − | 1.64111i | ||||
\(915\) | 12.7737 | + | 3.94016i | 0.422285 | + | 0.130258i | ||||
\(916\) | 2.91522 | + | 1.40389i | 0.0963215 | + | 0.0463860i | ||||
\(917\) | −0.360049 | − | 24.2426i | −0.0118899 | − | 0.800560i | ||||
\(918\) | −35.4592 | + | 17.0762i | −1.17033 | + | 0.563600i | ||||
\(919\) | −19.6634 | + | 2.96377i | −0.648634 | + | 0.0977659i | −0.465115 | − | 0.885250i | \(-0.653987\pi\) |
−0.183519 | + | 0.983016i | \(0.558749\pi\) | |||||||
\(920\) | 17.6111 | + | 12.0070i | 0.580620 | + | 0.395860i | ||||
\(921\) | 25.7554 | − | 23.8975i | 0.848670 | − | 0.787450i | ||||
\(922\) | 12.0503 | − | 8.21577i | 0.396856 | − | 0.270572i | ||||
\(923\) | −1.42803 | + | 6.25660i | −0.0470041 | + | 0.205939i | ||||
\(924\) | 0.0666440 | − | 0.491582i | 0.00219243 | − | 0.0161719i | ||||
\(925\) | 3.83238 | + | 16.7908i | 0.126008 | + | 0.552077i | ||||
\(926\) | −11.4340 | − | 10.6092i | −0.375746 | − | 0.348641i | ||||
\(927\) | −34.5676 | − | 5.21023i | −1.13535 | − | 0.171126i | ||||
\(928\) | 6.67701 | − | 2.05959i | 0.219184 | − | 0.0676092i | ||||
\(929\) | 1.05294 | − | 14.0505i | 0.0345459 | − | 0.460983i | −0.952928 | − | 0.303198i | \(-0.901946\pi\) |
0.987473 | − | 0.157785i | \(-0.0504354\pi\) | |||||||
\(930\) | 1.58073 | 0.0518340 | ||||||||
\(931\) | 4.52873 | + | 43.1786i | 0.148423 | + | 1.41512i | ||||
\(932\) | 1.26508 | 0.0414392 | ||||||||
\(933\) | −0.535932 | + | 7.15152i | −0.0175456 | + | 0.234130i | ||||
\(934\) | 35.8891 | − | 11.0703i | 1.17433 | − | 0.362232i | ||||
\(935\) | 6.38609 | + | 0.962548i | 0.208847 | + | 0.0314787i | ||||
\(936\) | 4.19022 | + | 3.88796i | 0.136962 | + | 0.127082i | ||||
\(937\) | −1.53827 | − | 6.73961i | −0.0502532 | − | 0.220173i | 0.943566 | − | 0.331184i | \(-0.107448\pi\) |
−0.993819 | + | 0.111011i | \(0.964591\pi\) | |||||||
\(938\) | −10.5358 | − | 11.0220i | −0.344007 | − | 0.359882i | ||||
\(939\) | −1.94517 | + | 8.52235i | −0.0634783 | + | 0.278116i | ||||
\(940\) | 1.34064 | − | 0.914034i | 0.0437269 | − | 0.0298125i | ||||
\(941\) | 16.1039 | − | 14.9422i | 0.524971 | − | 0.487102i | −0.372588 | − | 0.927997i | \(-0.621529\pi\) |
0.897559 | + | 0.440895i | \(0.145339\pi\) | |||||||
\(942\) | −27.1871 | − | 18.5358i | −0.885802 | − | 0.603930i | ||||
\(943\) | 51.7192 | − | 7.79541i | 1.68421 | − | 0.253853i | ||||
\(944\) | −46.2274 | + | 22.2619i | −1.50457 | + | 0.724564i | ||||
\(945\) | −8.03789 | − | 16.0757i | −0.261473 | − | 0.522942i | ||||
\(946\) | 12.8867 | + | 6.20592i | 0.418984 | + | 0.201772i | ||||
\(947\) | −4.42975 | − | 1.36640i | −0.143947 | − | 0.0444019i | 0.221944 | − | 0.975059i | \(-0.428760\pi\) |
−0.365892 | + | 0.930657i | \(0.619236\pi\) | |||||||
\(948\) | −0.336587 | + | 0.857611i | −0.0109319 | + | 0.0278539i | ||||
\(949\) | 3.21695 | + | 5.57193i | 0.104427 | + | 0.180872i | ||||
\(950\) | −15.3365 | + | 26.5635i | −0.497580 | + | 0.861834i | ||||
\(951\) | −0.102368 | − | 0.128366i | −0.00331952 | − | 0.00416254i | ||||
\(952\) | −10.0914 | + | 34.5278i | −0.327064 | + | 1.11905i | ||||
\(953\) | 17.8796 | − | 22.4203i | 0.579177 | − | 0.726265i | −0.402795 | − | 0.915290i | \(-0.631961\pi\) |
0.981972 | + | 0.189025i | \(0.0605327\pi\) | |||||||
\(954\) | 5.94949 | + | 15.1590i | 0.192622 | + | 0.490792i | ||||
\(955\) | 1.91060 | + | 25.4951i | 0.0618255 | + | 0.825004i | ||||
\(956\) | 0.124756 | + | 1.66476i | 0.00403490 | + | 0.0538420i | ||||
\(957\) | 2.99635 | + | 7.63458i | 0.0968583 | + | 0.246791i | ||||
\(958\) | −19.0778 | + | 23.9228i | −0.616375 | + | 0.772910i | ||||
\(959\) | −49.0336 | − | 27.3468i | −1.58338 | − | 0.883075i | ||||
\(960\) | 6.42543 | + | 8.05723i | 0.207380 | + | 0.260046i | ||||
\(961\) | 15.2173 | − | 26.3571i | 0.490881 | − | 0.850231i | ||||
\(962\) | 4.55062 | + | 7.88191i | 0.146718 | + | 0.254123i | ||||
\(963\) | 1.56584 | − | 3.98969i | 0.0504584 | − | 0.128566i | ||||
\(964\) | 2.34414 | + | 0.723072i | 0.0754998 | + | 0.0232886i | ||||
\(965\) | −31.3020 | − | 15.0742i | −1.00765 | − | 0.485257i | ||||
\(966\) | 21.1810 | + | 16.3827i | 0.681488 | + | 0.527104i | ||||
\(967\) | −17.1365 | + | 8.25250i | −0.551073 | + | 0.265383i | −0.688632 | − | 0.725111i | \(-0.741788\pi\) |
0.137559 | + | 0.990494i | \(0.456074\pi\) | |||||||
\(968\) | 2.66711 | − | 0.402002i | 0.0857242 | − | 0.0129208i | ||||
\(969\) | 28.7850 | + | 19.6253i | 0.924708 | + | 0.630455i | ||||
\(970\) | 17.9976 | − | 16.6994i | 0.577870 | − | 0.536185i | ||||
\(971\) | −2.24060 | + | 1.52761i | −0.0719042 | + | 0.0490235i | −0.598739 | − | 0.800944i | \(-0.704331\pi\) |
0.526834 | + | 0.849968i | \(0.323379\pi\) | |||||||
\(972\) | 0.569143 | − | 2.49358i | 0.0182553 | − | 0.0799815i | ||||
\(973\) | 10.7441 | − | 0.965807i | 0.344441 | − | 0.0309624i | ||||
\(974\) | −8.89112 | − | 38.9545i | −0.284890 | − | 1.24818i | ||||
\(975\) | 3.30675 | + | 3.06821i | 0.105901 | + | 0.0982615i | ||||
\(976\) | 39.8881 | + | 6.01217i | 1.27679 | + | 0.192445i | ||||
\(977\) | 21.2137 | − | 6.54355i | 0.678686 | − | 0.209347i | 0.0637997 | − | 0.997963i | \(-0.479678\pi\) |
0.614886 | + | 0.788616i | \(0.289202\pi\) | |||||||
\(978\) | 2.57866 | − | 34.4098i | 0.0824565 | − | 1.10031i | ||||
\(979\) | 4.05740 | 0.129675 | ||||||||
\(980\) | 1.45456 | + | 0.401775i | 0.0464643 | + | 0.0128342i | ||||
\(981\) | −17.9390 | −0.572748 | ||||||||
\(982\) | 2.06686 | − | 27.5803i | 0.0659561 | − | 0.880123i | ||||
\(983\) | −20.0592 | + | 6.18744i | −0.639789 | + | 0.197349i | −0.597642 | − | 0.801763i | \(-0.703896\pi\) |
−0.0421463 | + | 0.999111i | \(0.513420\pi\) | |||||||
\(984\) | 25.2021 | + | 3.79861i | 0.803414 | + | 0.121095i | ||||
\(985\) | 24.4897 | + | 22.7231i | 0.780306 | + | 0.724018i | ||||
\(986\) | 12.1564 | + | 53.2608i | 0.387140 | + | 1.69617i | ||||
\(987\) | −19.0508 | + | 11.3795i | −0.606394 | + | 0.362214i | ||||
\(988\) | −0.279900 | + | 1.22632i | −0.00890482 | + | 0.0390146i | ||||
\(989\) | −49.5029 | + | 33.7505i | −1.57410 | + | 1.07320i | ||||
\(990\) | −2.43157 | + | 2.25617i | −0.0772805 | + | 0.0717058i | ||||
\(991\) | −26.8177 | − | 18.2840i | −0.851892 | − | 0.580810i | 0.0567486 | − | 0.998389i | \(-0.481927\pi\) |
−0.908641 | + | 0.417578i | \(0.862879\pi\) | |||||||
\(992\) | 0.705884 | − | 0.106395i | 0.0224119 | − | 0.00337804i | ||||
\(993\) | −14.1440 | + | 6.81138i | −0.448846 | + | 0.216153i | ||||
\(994\) | 8.72153 | − | 18.8204i | 0.276630 | − | 0.596947i | ||||
\(995\) | −3.95393 | − | 1.90411i | −0.125348 | − | 0.0603644i | ||||
\(996\) | 0.0357775 | + | 0.0110359i | 0.00113365 | + | 0.000349686i | ||||
\(997\) | −17.8927 | + | 45.5899i | −0.566668 | + | 1.44385i | 0.304334 | + | 0.952565i | \(0.401566\pi\) |
−0.871002 | + | 0.491280i | \(0.836529\pi\) | |||||||
\(998\) | 20.4614 | + | 35.4402i | 0.647694 | + | 1.12184i | ||||
\(999\) | −13.5950 | + | 23.5472i | −0.430126 | + | 0.745001i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 539.2.r.b.23.17 | ✓ | 276 | |
49.32 | even | 21 | inner | 539.2.r.b.375.17 | yes | 276 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
539.2.r.b.23.17 | ✓ | 276 | 1.1 | even | 1 | trivial | |
539.2.r.b.375.17 | yes | 276 | 49.32 | even | 21 | inner |