Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [512,2,Mod(5,512)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(512, base_ring=CyclotomicField(128))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("512.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 512 = 2^{9} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 512.o (of order \(128\), degree \(64\), 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: | \(4.08834058349\) |
Analytic rank: | \(0\) |
Dimension: | \(4032\) |
Relative dimension: | \(63\) over \(\Q(\zeta_{128})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{128}]$ |
Embedding invariants
Embedding label | 157.43 | ||
Character | \(\chi\) | \(=\) | 512.157 |
Dual form | 512.2.o.a.437.43 |
$q$-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 \(\left(\mathbb{Z}/512\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{91}{128}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.706751 | + | 1.22495i | 0.499748 | + | 0.866171i | ||||
\(3\) | −0.275229 | + | 0.106167i | −0.158903 | + | 0.0612958i | −0.438039 | − | 0.898956i | \(-0.644327\pi\) |
0.279136 | + | 0.960252i | \(0.409952\pi\) | |||||||
\(4\) | −1.00101 | + | 1.73147i | −0.500503 | + | 0.865735i | ||||
\(5\) | −1.87748 | + | 2.40577i | −0.839634 | + | 1.07589i | 0.156469 | + | 0.987683i | \(0.449989\pi\) |
−0.996102 | + | 0.0882080i | \(0.971886\pi\) | |||||||
\(6\) | −0.324568 | − | 0.262108i | −0.132504 | − | 0.107005i | ||||
\(7\) | 1.41590 | − | 3.95718i | 0.535160 | − | 1.49567i | −0.304474 | − | 0.952521i | \(-0.598481\pi\) |
0.839634 | − | 0.543152i | \(-0.182769\pi\) | |||||||
\(8\) | −2.82843 | − | 0.00246531i | −1.00000 | − | 0.000871620i | ||||
\(9\) | −2.15837 | + | 1.95624i | −0.719458 | + | 0.652079i | ||||
\(10\) | −4.27385 | − | 0.599540i | −1.35151 | − | 0.189591i | ||||
\(11\) | 0.720027 | + | 3.20643i | 0.217096 | + | 0.966774i | 0.956093 | + | 0.293064i | \(0.0946750\pi\) |
−0.738996 | + | 0.673709i | \(0.764700\pi\) | |||||||
\(12\) | 0.0916800 | − | 0.582825i | 0.0264657 | − | 0.168247i | ||||
\(13\) | −2.17801 | + | 0.602737i | −0.604072 | + | 0.167169i | −0.555313 | − | 0.831641i | \(-0.687402\pi\) |
−0.0487587 | + | 0.998811i | \(0.515527\pi\) | |||||||
\(14\) | 5.84804 | − | 1.06233i | 1.56295 | − | 0.283920i | ||||
\(15\) | 0.261322 | − | 0.861463i | 0.0674730 | − | 0.222429i | ||||
\(16\) | −1.99597 | − | 3.46642i | −0.498993 | − | 0.866606i | ||||
\(17\) | −1.57764 | + | 0.478572i | −0.382634 | + | 0.116071i | −0.475741 | − | 0.879585i | \(-0.657820\pi\) |
0.0931070 | + | 0.995656i | \(0.470320\pi\) | |||||||
\(18\) | −3.92172 | − | 1.26133i | −0.924359 | − | 0.297298i | ||||
\(19\) | −0.939315 | − | 1.86610i | −0.215494 | − | 0.428113i | 0.759450 | − | 0.650566i | \(-0.225468\pi\) |
−0.974943 | + | 0.222454i | \(0.928593\pi\) | |||||||
\(20\) | −2.28614 | − | 5.65898i | −0.511197 | − | 1.26539i | ||||
\(21\) | 0.0304268 | + | 1.23945i | 0.00663968 | + | 0.270471i | ||||
\(22\) | −3.41883 | + | 3.14814i | −0.728897 | + | 0.671186i | ||||
\(23\) | −7.73519 | + | 1.14741i | −1.61290 | + | 0.239251i | −0.891418 | − | 0.453182i | \(-0.850289\pi\) |
−0.721482 | + | 0.692433i | \(0.756539\pi\) | |||||||
\(24\) | 0.778726 | − | 0.299608i | 0.158957 | − | 0.0611573i | ||||
\(25\) | −1.04788 | − | 4.18338i | −0.209577 | − | 0.836677i | ||||
\(26\) | −2.27763 | − | 2.24197i | −0.446681 | − | 0.439687i | ||||
\(27\) | 0.784258 | − | 1.55805i | 0.150931 | − | 0.299848i | ||||
\(28\) | 5.43441 | + | 6.41275i | 1.02701 | + | 1.21190i | ||||
\(29\) | 0.547263 | + | 3.15396i | 0.101624 | + | 0.585675i | 0.991566 | + | 0.129601i | \(0.0413697\pi\) |
−0.889942 | + | 0.456074i | \(0.849255\pi\) | |||||||
\(30\) | 1.23994 | − | 0.288733i | 0.226381 | − | 0.0527153i | ||||
\(31\) | 3.41423 | − | 5.10976i | 0.613215 | − | 0.917740i | −0.386776 | − | 0.922174i | \(-0.626411\pi\) |
0.999990 | + | 0.00443342i | \(0.00141121\pi\) | |||||||
\(32\) | 2.83554 | − | 4.89487i | 0.501258 | − | 0.865298i | ||||
\(33\) | −0.538590 | − | 0.806057i | −0.0937565 | − | 0.140317i | ||||
\(34\) | −1.70123 | − | 1.59430i | −0.291758 | − | 0.273420i | ||||
\(35\) | 6.86172 | + | 10.8358i | 1.15984 | + | 1.83159i | ||||
\(36\) | −1.22662 | − | 5.69536i | −0.204436 | − | 0.949227i | ||||
\(37\) | 1.19354 | − | 1.02956i | 0.196217 | − | 0.169258i | −0.549558 | − | 0.835455i | \(-0.685204\pi\) |
0.745776 | + | 0.666197i | \(0.232079\pi\) | |||||||
\(38\) | 1.62202 | − | 2.46948i | 0.263126 | − | 0.400603i | ||||
\(39\) | 0.535460 | − | 0.397124i | 0.0857423 | − | 0.0635908i | ||||
\(40\) | 5.31624 | − | 6.79990i | 0.840571 | − | 1.07516i | ||||
\(41\) | −0.0483624 | + | 0.193074i | −0.00755294 | + | 0.0301530i | −0.973691 | − | 0.227874i | \(-0.926822\pi\) |
0.966138 | + | 0.258027i | \(0.0830725\pi\) | |||||||
\(42\) | −1.49676 | + | 0.913255i | −0.230956 | + | 0.140918i | ||||
\(43\) | 3.89322 | + | 8.78297i | 0.593711 | + | 1.33939i | 0.919180 | + | 0.393837i | \(0.128853\pi\) |
−0.325469 | + | 0.945553i | \(0.605522\pi\) | |||||||
\(44\) | −6.27258 | − | 1.96295i | −0.945627 | − | 0.295925i | ||||
\(45\) | −0.653946 | − | 8.86533i | −0.0974845 | − | 1.32157i | ||||
\(46\) | −6.87237 | − | 8.66430i | −1.01328 | − | 1.27748i | ||||
\(47\) | 6.86612 | + | 8.36639i | 1.00153 | + | 1.22036i | 0.975340 | + | 0.220706i | \(0.0708363\pi\) |
0.0261861 | + | 0.999657i | \(0.491664\pi\) | |||||||
\(48\) | 0.917371 | + | 0.742152i | 0.132411 | + | 0.107120i | ||||
\(49\) | −8.24341 | − | 6.76519i | −1.17763 | − | 0.966456i | ||||
\(50\) | 4.38385 | − | 4.24022i | 0.619969 | − | 0.599657i | ||||
\(51\) | 0.383404 | − | 0.299211i | 0.0536872 | − | 0.0418979i | ||||
\(52\) | 1.13658 | − | 4.37450i | 0.157616 | − | 0.606634i | ||||
\(53\) | −0.832131 | + | 4.79569i | −0.114302 | + | 0.658739i | 0.871444 | + | 0.490496i | \(0.163184\pi\) |
−0.985746 | + | 0.168243i | \(0.946191\pi\) | |||||||
\(54\) | 2.46281 | − | 0.140478i | 0.335146 | − | 0.0191167i | ||||
\(55\) | −9.06574 | − | 4.28778i | −1.22242 | − | 0.578164i | ||||
\(56\) | −4.01453 | + | 11.1891i | −0.536464 | + | 1.49521i | ||||
\(57\) | 0.456646 | + | 0.413880i | 0.0604842 | + | 0.0548197i | ||||
\(58\) | −3.47666 | + | 2.89943i | −0.456508 | + | 0.380714i | ||||
\(59\) | −1.54913 | + | 5.59784i | −0.201679 | + | 0.728776i | 0.791397 | + | 0.611303i | \(0.209354\pi\) |
−0.993076 | + | 0.117473i | \(0.962521\pi\) | |||||||
\(60\) | 1.23001 | + | 1.31480i | 0.158794 | + | 0.169740i | ||||
\(61\) | 0.0925097 | + | 0.00227098i | 0.0118446 | + | 0.000290770i | 0.0304631 | − | 0.999536i | \(-0.490302\pi\) |
−0.0186185 | + | 0.999827i | \(0.505927\pi\) | |||||||
\(62\) | 8.67222 | + | 0.570938i | 1.10137 | + | 0.0725092i | ||||
\(63\) | 4.68513 | + | 11.3109i | 0.590271 | + | 1.42504i | ||||
\(64\) | 7.99999 | + | 0.0139459i | 0.999998 | + | 0.00174324i | ||||
\(65\) | 2.63912 | − | 6.37141i | 0.327343 | − | 0.790276i | ||||
\(66\) | 0.606731 | − | 1.22943i | 0.0746834 | − | 0.151332i | ||||
\(67\) | −10.5475 | + | 10.0421i | −1.28858 | + | 1.22683i | −0.329352 | + | 0.944207i | \(0.606830\pi\) |
−0.959230 | + | 0.282625i | \(0.908795\pi\) | |||||||
\(68\) | 0.750596 | − | 3.21069i | 0.0910231 | − | 0.389354i | ||||
\(69\) | 2.00713 | − | 1.13703i | 0.241630 | − | 0.136882i | ||||
\(70\) | −8.42384 | + | 16.0635i | −1.00684 | + | 1.91996i | ||||
\(71\) | −4.99064 | + | 0.245174i | −0.592280 | + | 0.0290968i | −0.343001 | − | 0.939335i | \(-0.611444\pi\) |
−0.249279 | + | 0.968432i | \(0.580194\pi\) | |||||||
\(72\) | 6.10962 | − | 5.52775i | 0.720026 | − | 0.651451i | ||||
\(73\) | 5.33228 | + | 14.9027i | 0.624097 | + | 1.74423i | 0.666897 | + | 0.745150i | \(0.267622\pi\) |
−0.0428009 | + | 0.999084i | \(0.513628\pi\) | |||||||
\(74\) | 2.10469 | + | 0.734390i | 0.244666 | + | 0.0853711i | ||||
\(75\) | 0.732547 | + | 1.04014i | 0.0845872 | + | 0.120105i | ||||
\(76\) | 4.17135 | + | 0.241581i | 0.478487 | + | 0.0277113i | ||||
\(77\) | 13.7079 | + | 1.69071i | 1.56216 | + | 0.192674i | ||||
\(78\) | 0.864895 | + | 0.375244i | 0.0979301 | + | 0.0424880i | ||||
\(79\) | 5.62363 | − | 0.553880i | 0.632708 | − | 0.0623163i | 0.223421 | − | 0.974722i | \(-0.428277\pi\) |
0.409287 | + | 0.912406i | \(0.365777\pi\) | |||||||
\(80\) | 12.0868 | + | 1.70629i | 1.35134 | + | 0.190769i | ||||
\(81\) | 0.806129 | − | 8.18477i | 0.0895699 | − | 0.909419i | ||||
\(82\) | −0.270686 | + | 0.0772134i | −0.0298922 | + | 0.00852679i | ||||
\(83\) | 3.87851 | + | 3.34563i | 0.425722 | + | 0.367230i | 0.839695 | − | 0.543059i | \(-0.182734\pi\) |
−0.413972 | + | 0.910289i | \(0.635859\pi\) | |||||||
\(84\) | −2.17653 | − | 1.18802i | −0.237479 | − | 0.129623i | ||||
\(85\) | 1.81065 | − | 4.69394i | 0.196393 | − | 0.509130i | ||||
\(86\) | −8.00716 | + | 10.9764i | −0.863434 | + | 1.18361i | ||||
\(87\) | −0.485470 | − | 0.809958i | −0.0520478 | − | 0.0868366i | ||||
\(88\) | −2.02864 | − | 9.07091i | −0.216254 | − | 0.966963i | ||||
\(89\) | −15.6097 | − | 2.31549i | −1.65463 | − | 0.245441i | −0.746882 | − | 0.664957i | \(-0.768450\pi\) |
−0.907748 | + | 0.419516i | \(0.862200\pi\) | |||||||
\(90\) | 10.3974 | − | 7.06663i | 1.09598 | − | 0.744888i | ||||
\(91\) | −0.698711 | + | 9.47220i | −0.0732448 | + | 0.992956i | ||||
\(92\) | 5.75628 | − | 14.5418i | 0.600133 | − | 1.51609i | ||||
\(93\) | −0.397205 | + | 1.76883i | −0.0411882 | + | 0.183420i | ||||
\(94\) | −5.39578 | + | 14.3236i | −0.556532 | + | 1.47737i | ||||
\(95\) | 6.25294 | + | 1.24379i | 0.641538 | + | 0.127610i | ||||
\(96\) | −0.260747 | + | 1.64825i | −0.0266124 | + | 0.168224i | ||||
\(97\) | −6.26794 | + | 1.24677i | −0.636413 | + | 0.126590i | −0.502744 | − | 0.864436i | \(-0.667676\pi\) |
−0.133669 | + | 0.991026i | \(0.542676\pi\) | |||||||
\(98\) | 2.46099 | − | 14.8791i | 0.248597 | − | 1.50301i | ||||
\(99\) | −7.82661 | − | 5.51212i | −0.786604 | − | 0.553989i | ||||
\(100\) | 8.29234 | + | 2.37322i | 0.829234 | + | 0.237322i | ||||
\(101\) | 17.8400 | − | 5.89354i | 1.77515 | − | 0.586429i | 0.776121 | − | 0.630584i | \(-0.217185\pi\) |
0.999025 | + | 0.0441557i | \(0.0140598\pi\) | |||||||
\(102\) | 0.637490 | + | 0.258183i | 0.0631209 | + | 0.0255639i | ||||
\(103\) | 4.03990 | + | 2.42142i | 0.398063 | + | 0.238590i | 0.699102 | − | 0.715022i | \(-0.253583\pi\) |
−0.301039 | + | 0.953612i | \(0.597333\pi\) | |||||||
\(104\) | 6.16183 | − | 1.69943i | 0.604217 | − | 0.166643i | ||||
\(105\) | −3.03896 | − | 2.25384i | −0.296572 | − | 0.219953i | ||||
\(106\) | −6.46259 | + | 2.37004i | −0.627702 | + | 0.230199i | ||||
\(107\) | −4.06944 | − | 3.87443i | −0.393408 | − | 0.374555i | 0.466918 | − | 0.884301i | \(-0.345364\pi\) |
−0.860325 | + | 0.509746i | \(0.829739\pi\) | |||||||
\(108\) | 1.91267 | + | 2.91754i | 0.184047 | + | 0.280740i | ||||
\(109\) | 3.05279 | − | 9.24094i | 0.292405 | − | 0.885121i | −0.693883 | − | 0.720087i | \(-0.744102\pi\) |
0.986288 | − | 0.165034i | \(-0.0527733\pi\) | |||||||
\(110\) | −1.15491 | − | 14.1355i | −0.110116 | − | 1.34776i | ||||
\(111\) | −0.219192 | + | 0.410079i | −0.0208048 | + | 0.0389230i | ||||
\(112\) | −16.5434 | + | 2.99031i | −1.56320 | + | 0.282558i | ||||
\(113\) | −11.4152 | + | 6.10157i | −1.07386 | + | 0.573988i | −0.910892 | − | 0.412644i | \(-0.864605\pi\) |
−0.162963 | + | 0.986632i | \(0.552105\pi\) | |||||||
\(114\) | −0.184247 | + | 0.851878i | −0.0172563 | + | 0.0797857i | ||||
\(115\) | 11.7623 | − | 20.7633i | 1.09684 | − | 1.93619i | ||||
\(116\) | −6.00879 | − | 2.20956i | −0.557902 | − | 0.205152i | ||||
\(117\) | 3.52187 | − | 5.56164i | 0.325597 | − | 0.514173i | ||||
\(118\) | −7.95192 | + | 2.05867i | −0.732033 | + | 0.189516i | ||||
\(119\) | −0.339988 | + | 6.92062i | −0.0311667 | + | 0.634412i | ||||
\(120\) | −0.741253 | + | 2.43594i | −0.0676669 | + | 0.222370i | ||||
\(121\) | 0.181156 | − | 0.0856804i | 0.0164687 | − | 0.00778913i | ||||
\(122\) | 0.0625995 | + | 0.114925i | 0.00566749 | + | 0.0104048i | ||||
\(123\) | −0.00718740 | − | 0.0582739i | −0.000648066 | − | 0.00525438i | ||||
\(124\) | 5.42973 | + | 11.0265i | 0.487604 | + | 0.990213i | ||||
\(125\) | −1.91767 | − | 0.850044i | −0.171522 | − | 0.0760303i | ||||
\(126\) | −10.5441 | + | 13.7330i | −0.939341 | + | 1.22344i | ||||
\(127\) | 4.71394 | − | 4.71394i | 0.418295 | − | 0.418295i | −0.466321 | − | 0.884616i | \(-0.654421\pi\) |
0.884616 | + | 0.466321i | \(0.154421\pi\) | |||||||
\(128\) | 5.63692 | + | 9.80944i | 0.498238 | + | 0.867041i | ||||
\(129\) | −2.00399 | − | 2.00399i | −0.176442 | − | 0.176442i | ||||
\(130\) | 9.66986 | − | 1.27020i | 0.848103 | − | 0.111404i | ||||
\(131\) | 0.000687403 | − | 0.00155076i | 6.00587e−5 | − | 0.000135490i | −0.914180 | − | 0.405309i | \(-0.867164\pi\) |
0.914240 | + | 0.405174i | \(0.132789\pi\) | |||||||
\(132\) | 1.93480 | − | 0.125684i | 0.168402 | − | 0.0109394i | ||||
\(133\) | −8.71447 | + | 1.07483i | −0.755640 | + | 0.0931993i | ||||
\(134\) | −19.7555 | − | 5.82293i | −1.70661 | − | 0.503025i | ||||
\(135\) | 2.27588 | + | 4.81195i | 0.195877 | + | 0.414147i | ||||
\(136\) | 4.46342 | − | 1.34972i | 0.382735 | − | 0.115737i | ||||
\(137\) | 19.6281 | + | 0.964265i | 1.67694 | + | 0.0823827i | 0.865132 | − | 0.501544i | \(-0.167234\pi\) |
0.811807 | + | 0.583927i | \(0.198484\pi\) | |||||||
\(138\) | 2.81134 | + | 1.65504i | 0.239317 | + | 0.140886i | ||||
\(139\) | 15.4341 | + | 9.77356i | 1.30911 | + | 0.828983i | 0.992813 | − | 0.119678i | \(-0.0381863\pi\) |
0.316294 | + | 0.948661i | \(0.397561\pi\) | |||||||
\(140\) | −25.6306 | + | 1.03411i | −2.16618 | + | 0.0873986i | ||||
\(141\) | −2.77799 | − | 1.57371i | −0.233949 | − | 0.132531i | ||||
\(142\) | −3.82746 | − | 5.94001i | −0.321194 | − | 0.498474i | ||||
\(143\) | −3.50086 | − | 6.54964i | −0.292756 | − | 0.547709i | ||||
\(144\) | 11.0892 | + | 3.57724i | 0.924100 | + | 0.298104i | ||||
\(145\) | −8.61515 | − | 4.60489i | −0.715449 | − | 0.382416i | ||||
\(146\) | −14.4865 | + | 17.0643i | −1.19891 | + | 1.41225i | ||||
\(147\) | 2.98707 | + | 0.986794i | 0.246369 | + | 0.0813894i | ||||
\(148\) | 0.587903 | + | 3.09718i | 0.0483253 | + | 0.254586i | ||||
\(149\) | 4.18001 | − | 4.39040i | 0.342440 | − | 0.359676i | −0.530344 | − | 0.847783i | \(-0.677937\pi\) |
0.872784 | + | 0.488107i | \(0.162312\pi\) | |||||||
\(150\) | −0.756388 | + | 1.63245i | −0.0617588 | + | 0.133289i | ||||
\(151\) | 2.49636 | − | 3.36595i | 0.203151 | − | 0.273917i | −0.689869 | − | 0.723934i | \(-0.742332\pi\) |
0.893020 | + | 0.450017i | \(0.148582\pi\) | |||||||
\(152\) | 2.65218 | + | 5.28044i | 0.215121 | + | 0.428300i | ||||
\(153\) | 2.46894 | − | 4.11918i | 0.199602 | − | 0.333016i | ||||
\(154\) | 7.61703 | + | 17.9864i | 0.613798 | + | 1.44938i | ||||
\(155\) | 5.88274 | + | 17.8073i | 0.472513 | + | 1.43032i | ||||
\(156\) | 0.151610 | + | 1.32466i | 0.0121385 | + | 0.106057i | ||||
\(157\) | 5.31581 | − | 7.54787i | 0.424248 | − | 0.602386i | −0.547960 | − | 0.836504i | \(-0.684595\pi\) |
0.972208 | + | 0.234119i | \(0.0752205\pi\) | |||||||
\(158\) | 4.65298 | + | 6.49722i | 0.370171 | + | 0.516891i | ||||
\(159\) | −0.280120 | − | 1.40826i | −0.0222149 | − | 0.111682i | ||||
\(160\) | 6.45223 | + | 16.0116i | 0.510094 | + | 1.26583i | ||||
\(161\) | −6.41177 | + | 32.2342i | −0.505319 | + | 2.54041i | ||||
\(162\) | 10.5957 | − | 4.79712i | 0.832474 | − | 0.376898i | ||||
\(163\) | 6.78105 | + | 1.52273i | 0.531132 | + | 0.119270i | 0.476396 | − | 0.879231i | \(-0.341943\pi\) |
0.0547368 | + | 0.998501i | \(0.482568\pi\) | |||||||
\(164\) | −0.285890 | − | 0.277006i | −0.0223243 | − | 0.0216305i | ||||
\(165\) | 2.95038 | + | 0.217633i | 0.229686 | + | 0.0169427i | ||||
\(166\) | −1.35709 | + | 7.11551i | −0.105330 | + | 0.552271i | ||||
\(167\) | 0.674450 | − | 4.54677i | 0.0521905 | − | 0.351840i | −0.947312 | − | 0.320311i | \(-0.896213\pi\) |
0.999503 | − | 0.0315284i | \(-0.0100375\pi\) | |||||||
\(168\) | −0.0830044 | − | 3.50577i | −0.00640393 | − | 0.270476i | ||||
\(169\) | −6.77003 | + | 4.05780i | −0.520772 | + | 0.312138i | ||||
\(170\) | 7.02953 | − | 1.09949i | 0.539140 | − | 0.0843269i | ||||
\(171\) | 5.67792 | + | 2.19022i | 0.434202 | + | 0.167490i | ||||
\(172\) | −19.1046 | − | 2.05081i | −1.45671 | − | 0.156373i | ||||
\(173\) | −5.53548 | + | 6.41716i | −0.420855 | + | 0.487887i | −0.927265 | − | 0.374405i | \(-0.877847\pi\) |
0.506411 | + | 0.862292i | \(0.330972\pi\) | |||||||
\(174\) | 0.649052 | − | 1.16712i | 0.0492045 | − | 0.0884788i | ||||
\(175\) | −18.0381 | − | 1.77660i | −1.36355 | − | 0.134298i | ||||
\(176\) | 9.67768 | − | 8.89586i | 0.729482 | − | 0.670550i | ||||
\(177\) | −0.167943 | − | 1.70515i | −0.0126234 | − | 0.128167i | ||||
\(178\) | −8.19585 | − | 20.7576i | −0.614305 | − | 1.55585i | ||||
\(179\) | 2.90292 | − | 23.5363i | 0.216974 | − | 1.75918i | −0.351225 | − | 0.936291i | \(-0.614235\pi\) |
0.568199 | − | 0.822891i | \(-0.307640\pi\) | |||||||
\(180\) | 16.0047 | + | 7.74196i | 1.19292 | + | 0.577052i | ||||
\(181\) | −19.9306 | + | 14.0367i | −1.48143 | + | 1.04334i | −0.496960 | + | 0.867773i | \(0.665551\pi\) |
−0.984468 | + | 0.175566i | \(0.943824\pi\) | |||||||
\(182\) | −12.0968 | + | 5.83860i | −0.896673 | + | 0.432786i | ||||
\(183\) | −0.0257024 | + | 0.00919648i | −0.00189998 | + | 0.000679823i | ||||
\(184\) | 21.8813 | − | 3.22629i | 1.61311 | − | 0.237845i | ||||
\(185\) | 0.236023 | + | 4.80435i | 0.0173527 | + | 0.353223i | ||||
\(186\) | −2.44746 | + | 0.763569i | −0.179456 | + | 0.0559876i | ||||
\(187\) | −2.67045 | − | 4.71401i | −0.195283 | − | 0.344722i | ||||
\(188\) | −21.3592 | + | 3.51367i | −1.55778 | + | 0.256260i | ||||
\(189\) | −5.05506 | − | 5.30950i | −0.367702 | − | 0.386209i | ||||
\(190\) | 2.89569 | + | 8.53859i | 0.210076 | + | 0.619454i | ||||
\(191\) | −13.9326 | − | 5.77107i | −1.00813 | − | 0.417580i | −0.183356 | − | 0.983047i | \(-0.558696\pi\) |
−0.824771 | + | 0.565467i | \(0.808696\pi\) | |||||||
\(192\) | −2.20331 | + | 0.845500i | −0.159010 | + | 0.0610187i | ||||
\(193\) | −7.11849 | + | 2.94857i | −0.512400 | + | 0.212243i | −0.623875 | − | 0.781524i | \(-0.714443\pi\) |
0.111475 | + | 0.993767i | \(0.464443\pi\) | |||||||
\(194\) | −5.95711 | − | 6.79676i | −0.427695 | − | 0.487979i | ||||
\(195\) | −0.0499266 | + | 2.03378i | −0.00357532 | + | 0.145642i | ||||
\(196\) | 19.9654 | − | 7.50122i | 1.42610 | − | 0.535801i | ||||
\(197\) | −14.6427 | − | 4.05219i | −1.04325 | − | 0.288706i | −0.297353 | − | 0.954768i | \(-0.596104\pi\) |
−0.745897 | + | 0.666061i | \(0.767979\pi\) | |||||||
\(198\) | 1.22061 | − | 13.4829i | 0.0867450 | − | 0.958189i | ||||
\(199\) | 14.4437 | − | 15.9361i | 1.02388 | − | 1.12968i | 0.0323972 | − | 0.999475i | \(-0.489686\pi\) |
0.991487 | − | 0.130207i | \(-0.0415642\pi\) | |||||||
\(200\) | 2.95355 | + | 11.8350i | 0.208847 | + | 0.836859i | ||||
\(201\) | 1.83684 | − | 3.88367i | 0.129560 | − | 0.273933i | ||||
\(202\) | 19.8277 | + | 17.6878i | 1.39507 | + | 1.24451i | ||||
\(203\) | 13.2556 | + | 2.30007i | 0.930363 | + | 0.161433i | ||||
\(204\) | 0.134285 | + | 0.963364i | 0.00940186 | + | 0.0674490i | ||||
\(205\) | −0.373690 | − | 0.478840i | −0.0260997 | − | 0.0334436i | ||||
\(206\) | −0.110920 | + | 6.66002i | −0.00772813 | + | 0.464026i | ||||
\(207\) | 14.4508 | − | 17.6084i | 1.00440 | − | 1.22387i | ||||
\(208\) | 6.43659 | + | 6.34686i | 0.446297 | + | 0.440076i | ||||
\(209\) | 5.30718 | − | 4.35549i | 0.367105 | − | 0.301275i | ||||
\(210\) | 0.613061 | − | 5.31548i | 0.0423052 | − | 0.366803i | ||||
\(211\) | −18.4598 | + | 1.36168i | −1.27082 | + | 0.0937416i | −0.692112 | − | 0.721790i | \(-0.743320\pi\) |
−0.578712 | + | 0.815532i | \(0.696445\pi\) | |||||||
\(212\) | −7.47062 | − | 6.24133i | −0.513085 | − | 0.428656i | ||||
\(213\) | 1.34754 | − | 0.597322i | 0.0923318 | − | 0.0409279i | ||||
\(214\) | 1.86990 | − | 7.72312i | 0.127824 | − | 0.527941i | ||||
\(215\) | −28.4392 | − | 7.12365i | −1.93954 | − | 0.485829i | ||||
\(216\) | −2.22206 | + | 4.40491i | −0.151192 | + | 0.299716i | ||||
\(217\) | −15.3860 | − | 20.7457i | −1.04447 | − | 1.40831i | ||||
\(218\) | 13.4773 | − | 2.79152i | 0.912795 | − | 0.189066i | ||||
\(219\) | −3.04978 | − | 3.53555i | −0.206085 | − | 0.238910i | ||||
\(220\) | 16.4990 | − | 11.4050i | 1.11236 | − | 0.768922i | ||||
\(221\) | 3.14767 | − | 1.99324i | 0.211735 | − | 0.134080i | ||||
\(222\) | −0.657241 | + | 0.0213247i | −0.0441111 | + | 0.00143122i | ||||
\(223\) | 1.29166 | − | 0.863060i | 0.0864960 | − | 0.0577948i | −0.511570 | − | 0.859241i | \(-0.670936\pi\) |
0.598066 | + | 0.801447i | \(0.295936\pi\) | |||||||
\(224\) | −15.3550 | − | 18.1514i | −1.02595 | − | 1.21279i | ||||
\(225\) | 10.4454 | + | 6.97940i | 0.696361 | + | 0.465293i | ||||
\(226\) | −15.5419 | − | 9.67081i | −1.03383 | − | 0.643293i | ||||
\(227\) | 7.30163 | − | 1.26695i | 0.484626 | − | 0.0840906i | 0.0766021 | − | 0.997062i | \(-0.475593\pi\) |
0.408024 | + | 0.912971i | \(0.366218\pi\) | |||||||
\(228\) | −1.17372 | + | 0.376372i | −0.0777318 | + | 0.0249258i | ||||
\(229\) | 3.78608 | + | 1.90575i | 0.250191 | + | 0.125936i | 0.570276 | − | 0.821453i | \(-0.306836\pi\) |
−0.320085 | + | 0.947389i | \(0.603711\pi\) | |||||||
\(230\) | 33.7470 | − | 0.266293i | 2.22521 | − | 0.0175588i | ||||
\(231\) | −3.95230 | + | 0.990000i | −0.260042 | + | 0.0651372i | ||||
\(232\) | −1.54012 | − | 8.92208i | −0.101114 | − | 0.585763i | ||||
\(233\) | −1.50521 | − | 10.1473i | −0.0986097 | − | 0.664773i | −0.980964 | − | 0.194188i | \(-0.937793\pi\) |
0.882355 | − | 0.470585i | \(-0.155957\pi\) | |||||||
\(234\) | 9.30181 | + | 0.383421i | 0.608078 | + | 0.0250650i | ||||
\(235\) | −33.0186 | + | 0.810560i | −2.15389 | + | 0.0528751i | ||||
\(236\) | −8.14179 | − | 8.28574i | −0.529986 | − | 0.539356i | ||||
\(237\) | −1.48898 | + | 0.749491i | −0.0967198 | + | 0.0486846i | ||||
\(238\) | −8.71770 | + | 4.47469i | −0.565085 | + | 0.290051i | ||||
\(239\) | 2.51072 | + | 8.27674i | 0.162405 | + | 0.535378i | 0.999939 | − | 0.0110070i | \(-0.00350369\pi\) |
−0.837534 | + | 0.546385i | \(0.816004\pi\) | |||||||
\(240\) | −3.50779 | + | 0.813604i | −0.226427 | + | 0.0525179i | ||||
\(241\) | 14.5460 | + | 4.41247i | 0.936989 | + | 0.284233i | 0.721611 | − | 0.692298i | \(-0.243402\pi\) |
0.215378 | + | 0.976531i | \(0.430902\pi\) | |||||||
\(242\) | 0.232986 | + | 0.161352i | 0.0149769 | + | 0.0103721i | ||||
\(243\) | 2.04277 | + | 7.38162i | 0.131044 | + | 0.473531i | ||||
\(244\) | −0.0965349 | + | 0.157904i | −0.00618001 | + | 0.0101088i | ||||
\(245\) | 31.7523 | − | 7.13022i | 2.02858 | − | 0.455533i | ||||
\(246\) | 0.0663029 | − | 0.0499894i | 0.00422732 | − | 0.00318720i | ||||
\(247\) | 3.17061 | + | 3.49823i | 0.201741 | + | 0.222587i | ||||
\(248\) | −9.66951 | + | 14.4442i | −0.614014 | + | 0.917206i | ||||
\(249\) | −1.42268 | − | 0.509041i | −0.0901584 | − | 0.0322592i | ||||
\(250\) | −0.314052 | − | 2.94982i | −0.0198624 | − | 0.186563i | ||||
\(251\) | −11.6067 | − | 9.05795i | −0.732608 | − | 0.571733i | 0.178481 | − | 0.983943i | \(-0.442882\pi\) |
−0.911088 | + | 0.412211i | \(0.864757\pi\) | |||||||
\(252\) | −24.2743 | − | 3.21013i | −1.52914 | − | 0.202219i | ||||
\(253\) | −9.24863 | − | 23.9762i | −0.581456 | − | 1.50737i | ||||
\(254\) | 9.10592 | + | 2.44276i | 0.571356 | + | 0.153272i | ||||
\(255\) | 1.48414i | 0.0929405i | ||||||||
\(256\) | −8.03219 | + | 13.8378i | −0.502012 | + | 0.864861i | ||||
\(257\) | 10.5986i | 0.661120i | 0.943785 | + | 0.330560i | \(0.107238\pi\) | ||||
−0.943785 | + | 0.330560i | \(0.892762\pi\) | |||||||
\(258\) | 1.03847 | − | 3.87111i | 0.0646522 | − | 0.241005i | ||||
\(259\) | −2.38420 | − | 6.18081i | −0.148147 | − | 0.384057i | ||||
\(260\) | 8.39012 | + | 10.9474i | 0.520333 | + | 0.678928i | ||||
\(261\) | −7.35108 | − | 5.73684i | −0.455020 | − | 0.355101i | ||||
\(262\) | 0.00238542 | 0.000253964i | 0.000147372 | 1.56900e-5i | ||||||
\(263\) | −6.75850 | − | 2.41823i | −0.416747 | − | 0.149115i | 0.120163 | − | 0.992754i | \(-0.461658\pi\) |
−0.536910 | + | 0.843640i | \(0.680408\pi\) | |||||||
\(264\) | 1.52138 | + | 2.28120i | 0.0936342 | + | 0.140398i | ||||
\(265\) | −9.97500 | − | 11.0057i | −0.612759 | − | 0.676076i | ||||
\(266\) | −7.47557 | − | 9.91515i | −0.458356 | − | 0.607937i | ||||
\(267\) | 4.54208 | − | 1.01996i | 0.277971 | − | 0.0624204i | ||||
\(268\) | −6.82940 | − | 28.3148i | −0.417172 | − | 1.72960i | ||||
\(269\) | −3.25884 | − | 11.7759i | −0.198695 | − | 0.717992i | −0.993767 | − | 0.111477i | \(-0.964442\pi\) |
0.795072 | − | 0.606515i | \(-0.207433\pi\) | |||||||
\(270\) | −4.28592 | + | 6.18870i | −0.260833 | + | 0.376632i | ||||
\(271\) | −1.58093 | − | 0.479570i | −0.0960347 | − | 0.0291318i | 0.241902 | − | 0.970301i | \(-0.422229\pi\) |
−0.337936 | + | 0.941169i | \(0.609729\pi\) | |||||||
\(272\) | 4.80786 | + | 4.51356i | 0.291520 | + | 0.273675i | ||||
\(273\) | −0.813333 | − | 2.68120i | −0.0492252 | − | 0.162274i | ||||
\(274\) | 12.6910 | + | 24.7249i | 0.766690 | + | 1.49369i | ||||
\(275\) | 12.6592 | − | 6.37211i | 0.763379 | − | 0.384253i | ||||
\(276\) | −0.0404256 | + | 4.61346i | −0.00243333 | + | 0.277697i | ||||
\(277\) | −13.0899 | + | 0.321340i | −0.786498 | + | 0.0193074i | −0.415812 | − | 0.909451i | \(-0.636502\pi\) |
−0.370686 | + | 0.928758i | \(0.620877\pi\) | |||||||
\(278\) | −1.06403 | + | 25.8135i | −0.0638165 | + | 1.54819i | ||||
\(279\) | 2.62671 | + | 17.7078i | 0.157257 | + | 1.06014i | ||||
\(280\) | −19.3812 | − | 30.6653i | −1.15825 | − | 1.83260i | ||||
\(281\) | 29.5843 | − | 7.41048i | 1.76485 | − | 0.442072i | 0.781518 | − | 0.623882i | \(-0.214446\pi\) |
0.983334 | + | 0.181810i | \(0.0581955\pi\) | |||||||
\(282\) | −0.0356282 | − | 4.51513i | −0.00212163 | − | 0.268872i | ||||
\(283\) | 15.2804 | + | 7.69150i | 0.908325 | + | 0.457212i | 0.841318 | − | 0.540540i | \(-0.181780\pi\) |
0.0670068 | + | 0.997753i | \(0.478655\pi\) | |||||||
\(284\) | 4.57115 | − | 8.88656i | 0.271248 | − | 0.527320i | ||||
\(285\) | −1.85304 | + | 0.321533i | −0.109765 | + | 0.0190460i | ||||
\(286\) | 5.54875 | − | 8.91734i | 0.328105 | − | 0.527294i | ||||
\(287\) | 0.695550 | + | 0.464752i | 0.0410570 | + | 0.0274334i | ||||
\(288\) | 3.45536 | + | 16.1119i | 0.203609 | + | 0.949405i | ||||
\(289\) | −11.8751 | + | 7.93466i | −0.698533 | + | 0.466745i | ||||
\(290\) | −0.448000 | − | 13.8076i | −0.0263074 | − | 0.810813i | ||||
\(291\) | 1.59275 | − | 1.00860i | 0.0933688 | − | 0.0591251i | ||||
\(292\) | −31.1413 | − | 5.68504i | −1.82241 | − | 0.332692i | ||||
\(293\) | 5.91195 | + | 6.85360i | 0.345380 | + | 0.400391i | 0.902955 | − | 0.429735i | \(-0.141393\pi\) |
−0.557575 | + | 0.830127i | \(0.688268\pi\) | |||||||
\(294\) | 0.902340 | + | 4.35643i | 0.0526255 | + | 0.254072i | ||||
\(295\) | −10.5586 | − | 14.2367i | −0.614747 | − | 0.828890i | ||||
\(296\) | −3.37839 | + | 2.90908i | −0.196365 | + | 0.169087i | ||||
\(297\) | 5.56047 | + | 1.39283i | 0.322651 | + | 0.0808199i | ||||
\(298\) | 8.33226 | + | 2.01739i | 0.482675 | + | 0.116864i | ||||
\(299\) | 16.1558 | − | 7.16135i | 0.934311 | − | 0.414152i | ||||
\(300\) | −2.53425 | + | 0.227199i | −0.146315 | + | 0.0131174i | ||||
\(301\) | 40.2682 | − | 2.97036i | 2.32102 | − | 0.171209i | ||||
\(302\) | 5.88742 | + | 0.679027i | 0.338783 | + | 0.0390736i | ||||
\(303\) | −4.28438 | + | 3.51610i | −0.246131 | + | 0.201995i | ||||
\(304\) | −4.59384 | + | 6.98075i | −0.263475 | + | 0.400373i | ||||
\(305\) | −0.179148 | + | 0.218293i | −0.0102580 | + | 0.0124994i | ||||
\(306\) | 6.79071 | + | 0.113096i | 0.388199 | + | 0.00646528i | ||||
\(307\) | 17.1115 | + | 21.9263i | 0.976603 | + | 1.25140i | 0.967873 | + | 0.251439i | \(0.0809038\pi\) |
0.00872962 | + | 0.999962i | \(0.497221\pi\) | |||||||
\(308\) | −16.6491 | + | 22.0424i | −0.948670 | + | 1.25598i | ||||
\(309\) | −1.36897 | − | 0.237539i | −0.0778782 | − | 0.0135131i | ||||
\(310\) | −17.6554 | + | 19.7914i | −1.00276 | + | 1.12408i | ||||
\(311\) | 9.81986 | − | 20.7623i | 0.556833 | − | 1.17732i | −0.407640 | − | 0.913143i | \(-0.633648\pi\) |
0.964473 | − | 0.264182i | \(-0.0851019\pi\) | |||||||
\(312\) | −1.51549 | + | 1.12192i | −0.0857977 | + | 0.0635160i | ||||
\(313\) | −8.74777 | + | 9.65168i | −0.494453 | + | 0.545545i | −0.936141 | − | 0.351624i | \(-0.885630\pi\) |
0.441688 | + | 0.897169i | \(0.354380\pi\) | |||||||
\(314\) | 13.0027 | + | 1.17714i | 0.733786 | + | 0.0664298i | ||||
\(315\) | −36.0076 | − | 9.96465i | −2.02880 | − | 0.561444i | ||||
\(316\) | −4.67027 | + | 10.2916i | −0.262723 | + | 0.578947i | ||||
\(317\) | −0.244814 | + | 9.97263i | −0.0137501 | + | 0.560118i | 0.952794 | + | 0.303618i | \(0.0981946\pi\) |
−0.966544 | + | 0.256501i | \(0.917430\pi\) | |||||||
\(318\) | 1.52707 | − | 1.33842i | 0.0856339 | − | 0.0750549i | ||||
\(319\) | −9.71888 | + | 4.02569i | −0.544153 | + | 0.225395i | ||||
\(320\) | −15.0533 | + | 19.2199i | −0.841508 | + | 1.07443i | ||||
\(321\) | 1.53137 | + | 0.634312i | 0.0854725 | + | 0.0354039i | ||||
\(322\) | −44.0168 | + | 14.9274i | −2.45296 | + | 0.831873i | ||||
\(323\) | 2.37497 | + | 2.49451i | 0.132147 | + | 0.138798i | ||||
\(324\) | 13.3647 | + | 9.58879i | 0.742485 | + | 0.532711i | ||||
\(325\) | 4.80378 | + | 8.47986i | 0.266466 | + | 0.470378i | ||||
\(326\) | 2.92724 | + | 9.38264i | 0.162125 | + | 0.519656i | ||||
\(327\) | 0.140870 | + | 2.86748i | 0.00779014 | + | 0.158572i | ||||
\(328\) | 0.137265 | − | 0.545975i | 0.00757922 | − | 0.0301464i | ||||
\(329\) | 42.8290 | − | 15.3245i | 2.36124 | − | 0.844866i | ||||
\(330\) | 1.81859 | + | 3.76788i | 0.100110 | + | 0.207415i | ||||
\(331\) | −23.5214 | + | 16.5656i | −1.29285 | + | 0.910530i | −0.998973 | − | 0.0453116i | \(-0.985572\pi\) |
−0.293881 | + | 0.955842i | \(0.594947\pi\) | |||||||
\(332\) | −9.67527 | + | 3.36653i | −0.530999 | + | 0.184762i | ||||
\(333\) | −0.562055 | + | 4.55702i | −0.0308004 | + | 0.249723i | ||||
\(334\) | 6.04624 | − | 2.38727i | 0.330835 | − | 0.130625i | ||||
\(335\) | −4.35613 | − | 44.2286i | −0.238001 | − | 2.41646i | ||||
\(336\) | 4.23573 | − | 2.57939i | 0.231078 | − | 0.140717i | ||||
\(337\) | −28.1044 | − | 2.76804i | −1.53095 | − | 0.150785i | −0.702836 | − | 0.711352i | \(-0.748083\pi\) |
−0.828109 | + | 0.560567i | \(0.810583\pi\) | |||||||
\(338\) | −9.75533 | − | 5.42510i | −0.530620 | − | 0.295086i | ||||
\(339\) | 2.49401 | − | 2.89126i | 0.135456 | − | 0.157031i | ||||
\(340\) | 6.31494 | + | 7.83376i | 0.342476 | + | 0.424845i | ||||
\(341\) | 18.8424 | + | 7.26832i | 1.02037 | + | 0.393602i | ||||
\(342\) | 1.32997 | + | 8.50311i | 0.0719166 | + | 0.459796i | ||||
\(343\) | −13.2085 | + | 7.91690i | −0.713194 | + | 0.427472i | ||||
\(344\) | −10.9900 | − | 24.8516i | −0.592543 | − | 1.33991i | ||||
\(345\) | −1.03293 | + | 6.96343i | −0.0556109 | + | 0.374898i | ||||
\(346\) | −11.7729 | − | 2.24535i | −0.632915 | − | 0.120711i | ||||
\(347\) | −3.63502 | − | 0.268135i | −0.195138 | − | 0.0143942i | −0.0243573 | − | 0.999703i | \(-0.507754\pi\) |
−0.170781 | + | 0.985309i | \(0.554629\pi\) | |||||||
\(348\) | 1.88838 | − | 0.0298037i | 0.101228 | − | 0.00159764i | ||||
\(349\) | −5.51655 | − | 1.23878i | −0.295294 | − | 0.0663105i | 0.0689311 | − | 0.997621i | \(-0.478041\pi\) |
−0.364225 | + | 0.931311i | \(0.618666\pi\) | |||||||
\(350\) | −10.5722 | − | 23.3514i | −0.565108 | − | 1.24818i | ||||
\(351\) | −0.769027 | + | 3.86616i | −0.0410476 | + | 0.206360i | ||||
\(352\) | 17.7367 | + | 5.56752i | 0.945369 | + | 0.296750i | ||||
\(353\) | −2.20440 | − | 11.0823i | −0.117329 | − | 0.589850i | −0.994057 | − | 0.108864i | \(-0.965279\pi\) |
0.876728 | − | 0.480986i | \(-0.159721\pi\) | |||||||
\(354\) | 1.97003 | − | 1.41084i | 0.104706 | − | 0.0749853i | ||||
\(355\) | 8.77998 | − | 12.4666i | 0.465993 | − | 0.661659i | ||||
\(356\) | 19.6346 | − | 24.7100i | 1.04063 | − | 1.30963i | ||||
\(357\) | −0.641170 | − | 1.94085i | −0.0339343 | − | 0.102721i | ||||
\(358\) | 30.8824 | − | 13.0783i | 1.63218 | − | 0.691211i | ||||
\(359\) | 13.9201 | − | 23.2242i | 0.734673 | − | 1.22573i | −0.232743 | − | 0.972538i | \(-0.574770\pi\) |
0.967417 | − | 0.253190i | \(-0.0814798\pi\) | |||||||
\(360\) | 1.82778 | + | 25.0765i | 0.0963326 | + | 1.32165i | ||||
\(361\) | 8.71827 | − | 11.7552i | 0.458857 | − | 0.618696i | ||||
\(362\) | −31.2802 | − | 14.4935i | −1.64405 | − | 0.761762i | ||||
\(363\) | −0.0407629 | + | 0.0428146i | −0.00213950 | + | 0.00224718i | ||||
\(364\) | −15.7014 | − | 10.6915i | −0.822977 | − | 0.560388i | ||||
\(365\) | −45.8637 | − | 15.1513i | −2.40062 | − | 0.793057i | ||||
\(366\) | −0.0294304 | − | 0.0249846i | −0.00153835 | − | 0.00130596i | ||||
\(367\) | −6.62054 | − | 3.53875i | −0.345589 | − | 0.184721i | 0.289465 | − | 0.957188i | \(-0.406522\pi\) |
−0.635055 | + | 0.772467i | \(0.719022\pi\) | |||||||
\(368\) | 19.4166 | + | 24.5233i | 1.01216 | + | 1.27836i | ||||
\(369\) | −0.273313 | − | 0.511333i | −0.0142281 | − | 0.0266189i | ||||
\(370\) | −5.71829 | + | 3.68460i | −0.297280 | + | 0.191553i | ||||
\(371\) | 17.7992 | + | 10.0831i | 0.924088 | + | 0.523489i | ||||
\(372\) | −2.66508 | − | 2.45836i | −0.138178 | − | 0.127460i | ||||
\(373\) | 7.86352 | + | 4.97952i | 0.407157 | + | 0.257830i | 0.722812 | − | 0.691044i | \(-0.242849\pi\) |
−0.315655 | + | 0.948874i | \(0.602224\pi\) | |||||||
\(374\) | 3.88708 | − | 6.60280i | 0.200996 | − | 0.341423i | ||||
\(375\) | 0.618045 | + | 0.0303626i | 0.0319157 | + | 0.00156792i | ||||
\(376\) | −19.3997 | − | 23.6806i | −1.00046 | − | 1.22124i | ||||
\(377\) | −3.09295 | − | 6.53949i | −0.159295 | − | 0.336801i | ||||
\(378\) | 2.93120 | − | 9.94469i | 0.150765 | − | 0.511500i | ||||
\(379\) | 13.5418 | − | 1.67022i | 0.695597 | − | 0.0857937i | 0.233150 | − | 0.972441i | \(-0.425097\pi\) |
0.462447 | + | 0.886647i | \(0.346972\pi\) | |||||||
\(380\) | −8.41281 | + | 9.58174i | −0.431568 | + | 0.491533i | ||||
\(381\) | −0.796945 | + | 1.79788i | −0.0408287 | + | 0.0921081i | ||||
\(382\) | −2.77760 | − | 21.1454i | −0.142114 | − | 1.08190i | ||||
\(383\) | 20.3064 | + | 20.3064i | 1.03761 | + | 1.03761i | 0.999265 | + | 0.0383447i | \(0.0122085\pi\) |
0.0383447 | + | 0.999265i | \(0.487792\pi\) | |||||||
\(384\) | −2.59289 | − | 2.10138i | −0.132318 | − | 0.107236i | ||||
\(385\) | −29.8037 | + | 29.8037i | −1.51894 | + | 1.51894i | ||||
\(386\) | −8.64285 | − | 6.63588i | −0.439910 | − | 0.337758i | ||||
\(387\) | −25.5846 | − | 11.3409i | −1.30054 | − | 0.576489i | ||||
\(388\) | 4.11550 | − | 12.1008i | 0.208933 | − | 0.614324i | ||||
\(389\) | 3.65247 | + | 29.6135i | 0.185188 | + | 1.50146i | 0.741761 | + | 0.670665i | \(0.233991\pi\) |
−0.556573 | + | 0.830799i | \(0.687884\pi\) | |||||||
\(390\) | −2.52657 | + | 1.37622i | −0.127938 | + | 0.0696877i | ||||
\(391\) | 11.6542 | − | 5.51205i | 0.589381 | − | 0.278756i | ||||
\(392\) | 23.2992 | + | 19.1552i | 1.17679 | + | 0.967482i | ||||
\(393\) | −2.45533e−5 | 0 | 0.000499793i | −1.23855e−6 | 0 | 2.52112e-5i | ||||
\(394\) | −5.38503 | − | 20.8005i | −0.271294 | − | 1.04791i | ||||
\(395\) | −9.22574 | + | 14.5690i | −0.464197 | + | 0.733048i | ||||
\(396\) | 17.3786 | − | 8.03387i | 0.873306 | − | 0.403717i | ||||
\(397\) | −8.27234 | + | 14.6027i | −0.415177 | + | 0.732889i | −0.996746 | − | 0.0806077i | \(-0.974314\pi\) |
0.581569 | + | 0.813497i | \(0.302439\pi\) | |||||||
\(398\) | 29.7290 | + | 6.42990i | 1.49018 | + | 0.322302i | ||||
\(399\) | 2.28436 | − | 1.22102i | 0.114361 | − | 0.0611273i | ||||
\(400\) | −12.4098 | + | 11.9823i | −0.620492 | + | 0.599116i | ||||
\(401\) | −11.2357 | + | 21.0204i | −0.561082 | + | 1.04971i | 0.428199 | + | 0.903685i | \(0.359148\pi\) |
−0.989281 | + | 0.146026i | \(0.953352\pi\) | |||||||
\(402\) | 6.05548 | − | 0.494750i | 0.302020 | − | 0.0246759i | ||||
\(403\) | −4.35640 | + | 13.1870i | −0.217008 | + | 0.656891i | ||||
\(404\) | −7.65346 | + | 36.7889i | −0.380774 | + | 1.83031i | ||||
\(405\) | 18.1771 | + | 17.3061i | 0.903229 | + | 0.859946i | ||||
\(406\) | 6.55096 | + | 17.8631i | 0.325119 | + | 0.886529i | ||||
\(407\) | 4.16058 | + | 3.08570i | 0.206232 | + | 0.152952i | ||||
\(408\) | −1.08517 | + | 0.845351i | −0.0537237 | + | 0.0418511i | ||||
\(409\) | −30.9648 | − | 18.5596i | −1.53111 | − | 0.917713i | −0.997401 | − | 0.0720456i | \(-0.977047\pi\) |
−0.533710 | − | 0.845667i | \(-0.679203\pi\) | |||||||
\(410\) | 0.322449 | − | 0.796173i | 0.0159246 | − | 0.0393202i | ||||
\(411\) | −5.50458 | + | 1.81847i | −0.271521 | + | 0.0896984i | ||||
\(412\) | −8.23659 | + | 4.57110i | −0.405788 | + | 0.225202i | ||||
\(413\) | 19.9582 | + | 14.0562i | 0.982080 | + | 0.691659i | ||||
\(414\) | 31.7826 | + | 5.25681i | 1.56203 | + | 0.258358i | ||||
\(415\) | −15.3306 | + | 3.04945i | −0.752550 | + | 0.149692i | ||||
\(416\) | −3.22552 | + | 12.3702i | −0.158144 | + | 0.606497i | ||||
\(417\) | −5.28556 | − | 1.05136i | −0.258835 | − | 0.0514854i | ||||
\(418\) | 9.08611 | + | 3.42278i | 0.444416 | + | 0.167414i | ||||
\(419\) | −2.93159 | + | 13.0550i | −0.143218 | + | 0.637778i | 0.850511 | + | 0.525958i | \(0.176293\pi\) |
−0.993728 | + | 0.111820i | \(0.964332\pi\) | |||||||
\(420\) | 6.94448 | − | 3.00575i | 0.338856 | − | 0.146666i | ||||
\(421\) | −0.139740 | + | 1.89441i | −0.00681053 | + | 0.0923281i | −0.999627 | − | 0.0273217i | \(-0.991302\pi\) |
0.992816 | + | 0.119650i | \(0.0381772\pi\) | |||||||
\(422\) | −14.7145 | − | 21.6500i | −0.716289 | − | 1.05390i | ||||
\(423\) | −31.1863 | − | 4.62605i | −1.51633 | − | 0.224926i | ||||
\(424\) | 2.36544 | − | 13.5622i | 0.114876 | − | 0.658639i | ||||
\(425\) | 3.65524 | + | 6.09839i | 0.177305 | + | 0.295816i | ||||
\(426\) | 1.68406 | + | 1.22851i | 0.0815932 | + | 0.0595214i | ||||
\(427\) | 0.139971 | − | 0.362862i | 0.00677368 | − | 0.0175601i | ||||
\(428\) | 10.7820 | − | 3.16778i | 0.521167 | − | 0.153121i | ||||
\(429\) | 1.65890 | + | 1.43097i | 0.0800922 | + | 0.0690880i | ||||
\(430\) | −11.3733 | − | 39.8712i | −0.548470 | − | 1.92276i | ||||
\(431\) | −1.84599 | + | 18.7426i | −0.0889182 | + | 0.902801i | 0.842463 | + | 0.538755i | \(0.181105\pi\) |
−0.931381 | + | 0.364046i | \(0.881395\pi\) | |||||||
\(432\) | −6.96623 | + | 0.391261i | −0.335163 | + | 0.0188246i | ||||
\(433\) | 2.71929 | − | 0.267826i | 0.130681 | − | 0.0128709i | −0.0324654 | − | 0.999473i | \(-0.510336\pi\) |
0.163146 | + | 0.986602i | \(0.447836\pi\) | |||||||
\(434\) | 14.5383 | − | 33.5091i | 0.697861 | − | 1.60849i | ||||
\(435\) | 2.86003 | + | 0.352751i | 0.137128 | + | 0.0169131i | ||||
\(436\) | 12.9445 | + | 14.5361i | 0.619931 | + | 0.696151i | ||||
\(437\) | 9.40696 | + | 13.3569i | 0.449996 | + | 0.638945i | ||||
\(438\) | 2.17543 | − | 6.23458i | 0.103946 | − | 0.297900i | ||||
\(439\) | 6.55497 | + | 18.3199i | 0.312852 | + | 0.874361i | 0.990319 | + | 0.138809i | \(0.0443274\pi\) |
−0.677468 | + | 0.735553i | \(0.736923\pi\) | |||||||
\(440\) | 25.6312 | + | 12.1500i | 1.22192 | + | 0.579229i | ||||
\(441\) | 31.0267 | − | 1.52424i | 1.47746 | − | 0.0725830i | ||||
\(442\) | 4.66624 | + | 2.44701i | 0.221950 | + | 0.116393i | ||||
\(443\) | −12.2598 | + | 6.94507i | −0.582479 | + | 0.329970i | −0.755705 | − | 0.654912i | \(-0.772706\pi\) |
0.173227 | + | 0.984882i | \(0.444581\pi\) | |||||||
\(444\) | −0.490627 | − | 0.790016i | −0.0232841 | − | 0.0374925i | ||||
\(445\) | 34.8775 | − | 33.2061i | 1.65335 | − | 1.57412i | ||||
\(446\) | 1.97009 | + | 0.972252i | 0.0932864 | + | 0.0460375i | ||||
\(447\) | −0.684342 | + | 1.65215i | −0.0323683 | + | 0.0781439i | ||||
\(448\) | 11.3824 | − | 31.6376i | 0.537767 | − | 1.49474i | ||||
\(449\) | −2.61671 | − | 6.31729i | −0.123490 | − | 0.298131i | 0.850030 | − | 0.526735i | \(-0.176584\pi\) |
−0.973520 | + | 0.228604i | \(0.926584\pi\) | |||||||
\(450\) | −1.16711 | + | 17.7278i | −0.0550183 | + | 0.835697i | ||||
\(451\) | −0.653898 | − | 0.0160523i | −0.0307909 | − | 0.000755873i | ||||
\(452\) | 0.862040 | − | 25.8729i | 0.0405470 | − | 1.21696i | ||||
\(453\) | −0.329715 | + | 1.19144i | −0.0154914 | + | 0.0559786i | ||||
\(454\) | 6.71239 | + | 8.04871i | 0.315028 | + | 0.377745i | ||||
\(455\) | −21.4761 | − | 19.4648i | −1.00681 | − | 0.912522i | ||||
\(456\) | −1.29057 | − | 1.17175i | −0.0604364 | − | 0.0548724i | ||||
\(457\) | 4.05808 | + | 1.91933i | 0.189829 | + | 0.0897825i | 0.520106 | − | 0.854101i | \(-0.325892\pi\) |
−0.330277 | + | 0.943884i | \(0.607142\pi\) | |||||||
\(458\) | 0.341364 | + | 5.98465i | 0.0159509 | + | 0.279645i | ||||
\(459\) | −0.491637 | + | 2.83337i | −0.0229477 | + | 0.132251i | ||||
\(460\) | 24.1769 | + | 41.1502i | 1.12725 | + | 1.91864i | ||||
\(461\) | −26.6338 | + | 20.7853i | −1.24046 | + | 0.968066i | −0.999997 | − | 0.00259209i | \(-0.999175\pi\) |
−0.240465 | + | 0.970658i | \(0.577300\pi\) | |||||||
\(462\) | −4.00599 | − | 4.14169i | −0.186376 | − | 0.192689i | ||||
\(463\) | 2.57253 | + | 2.11122i | 0.119556 | + | 0.0981168i | 0.692271 | − | 0.721637i | \(-0.256610\pi\) |
−0.572716 | + | 0.819754i | \(0.694110\pi\) | |||||||
\(464\) | 9.84062 | − | 8.19226i | 0.456839 | − | 0.380316i | ||||
\(465\) | −3.50966 | − | 4.27653i | −0.162756 | − | 0.198319i | ||||
\(466\) | 11.3661 | − | 9.01543i | 0.526527 | − | 0.417632i | ||||
\(467\) | −0.197927 | − | 2.68323i | −0.00915896 | − | 0.124165i | 0.990777 | − | 0.135504i | \(-0.0432655\pi\) |
−0.999936 | + | 0.0113394i | \(0.996390\pi\) | |||||||
\(468\) | 6.10439 | + | 11.6652i | 0.282176 | + | 0.539226i | ||||
\(469\) | 24.8040 | + | 55.9569i | 1.14534 | + | 2.58385i | ||||
\(470\) | −24.3288 | − | 39.8732i | −1.12220 | − | 1.83921i | ||||
\(471\) | −0.661726 | + | 2.64176i | −0.0304907 | + | 0.121726i | ||||
\(472\) | 4.39540 | − | 15.8292i | 0.202315 | − | 0.728600i | ||||
\(473\) | −25.3587 | + | 18.8073i | −1.16599 | + | 0.864760i | ||||
\(474\) | −1.97043 | − | 1.29423i | −0.0905048 | − | 0.0594458i | ||||
\(475\) | −6.82232 | + | 5.88497i | −0.313029 | + | 0.270021i | ||||
\(476\) | −11.6425 | − | 7.51626i | −0.533634 | − | 0.344507i | ||||
\(477\) | −7.58545 | − | 11.9787i | −0.347314 | − | 0.548469i | ||||
\(478\) | −8.36414 | + | 8.92510i | −0.382567 | + | 0.408225i | ||||
\(479\) | 0.548293 | + | 0.820578i | 0.0250521 | + | 0.0374932i | 0.843784 | − | 0.536682i | \(-0.180323\pi\) |
−0.818732 | + | 0.574176i | \(0.805323\pi\) | |||||||
\(480\) | −3.47576 | − | 3.72185i | −0.158646 | − | 0.169878i | ||||
\(481\) | −1.97900 | + | 2.96178i | −0.0902345 | + | 0.135045i | ||||
\(482\) | 4.87532 | + | 20.9366i | 0.222065 | + | 0.953637i | ||||
\(483\) | −1.65751 | − | 9.55249i | −0.0754195 | − | 0.434653i | ||||
\(484\) | −0.0329853 | + | 0.399433i | −0.00149933 | + | 0.0181560i | ||||
\(485\) | 8.76848 | − | 17.4200i | 0.398156 | − | 0.791001i | ||||
\(486\) | −7.59839 | + | 7.71926i | −0.344670 | + | 0.350153i | ||||
\(487\) | 2.26333 | + | 9.03571i | 0.102561 | + | 0.409447i | 0.999462 | − | 0.0327837i | \(-0.0104372\pi\) |
−0.896901 | + | 0.442231i | \(0.854187\pi\) | |||||||
\(488\) | −0.261651 | − | 0.00665138i | −0.0118444 | − | 0.000301094i | ||||
\(489\) | −2.02800 | + | 0.300826i | −0.0917095 | + | 0.0136038i | ||||
\(490\) | 31.1751 | + | 33.8557i | 1.40835 | + | 1.52944i | ||||
\(491\) | 0.195364 | + | 7.95827i | 0.00881668 | + | 0.359152i | 0.987846 | + | 0.155434i | \(0.0496775\pi\) |
−0.979030 | + | 0.203718i | \(0.934697\pi\) | |||||||
\(492\) | 0.108094 | + | 0.0458878i | 0.00487326 | + | 0.00206878i | ||||
\(493\) | −2.37278 | − | 4.71391i | −0.106865 | − | 0.212304i | ||||
\(494\) | −2.04432 | + | 6.35621i | −0.0919784 | + | 0.285979i | ||||
\(495\) | 27.9552 | − | 8.48011i | 1.25649 | − | 0.381152i | ||||
\(496\) | −24.5273 | − | 1.63623i | −1.10131 | − | 0.0734691i | ||||
\(497\) | −6.09605 | + | 20.0960i | −0.273445 | + | 0.901428i | ||||
\(498\) | −0.381927 | − | 2.10247i | −0.0171145 | − | 0.0942140i | ||||
\(499\) | −1.19448 | + | 0.330557i | −0.0534722 | + | 0.0147978i | −0.293346 | − | 0.956006i | \(-0.594769\pi\) |
0.239874 | + | 0.970804i | \(0.422894\pi\) | |||||||
\(500\) | 3.39142 | − | 2.46949i | 0.151669 | − | 0.110439i | ||||
\(501\) | 0.297091 | + | 1.32301i | 0.0132731 | + | 0.0591076i | ||||
\(502\) | 2.89250 | − | 20.6193i | 0.129099 | − | 0.920286i | ||||
\(503\) | 20.5299 | − | 18.6072i | 0.915381 | − | 0.829653i | −0.0704291 | − | 0.997517i | \(-0.522437\pi\) |
0.985810 | + | 0.167864i | \(0.0536869\pi\) | |||||||
\(504\) | −13.2237 | − | 32.0036i | −0.589029 | − | 1.42555i | ||||
\(505\) | −19.3157 | + | 53.9838i | −0.859538 | + | 2.40225i | ||||
\(506\) | 22.8331 | − | 28.2743i | 1.01506 | − | 1.25695i | ||||
\(507\) | 1.43250 | − | 1.83558i | 0.0636196 | − | 0.0815210i | ||||
\(508\) | 3.44336 | + | 12.8807i | 0.152774 | + | 0.571490i | ||||
\(509\) | 27.9190 | − | 10.7696i | 1.23749 | − | 0.477352i | 0.349379 | − | 0.936982i | \(-0.386393\pi\) |
0.888111 | + | 0.459629i | \(0.152018\pi\) | |||||||
\(510\) | −1.81800 | + | 1.04892i | −0.0805023 | + | 0.0464469i | ||||
\(511\) | 66.5228 | 2.94279 | ||||||||
\(512\) | −22.6273 | − | 0.0591675i | −0.999997 | − | 0.00261486i | ||||
\(513\) | −3.64415 | −0.160893 | ||||||||
\(514\) | −12.9827 | + | 7.49054i | −0.572643 | + | 0.330394i | ||||
\(515\) | −13.4102 | + | 5.17288i | −0.590924 | + | 0.227945i | ||||
\(516\) | 5.47586 | − | 1.46384i | 0.241061 | − | 0.0644421i | ||||
\(517\) | −21.8824 | + | 28.0397i | −0.962388 | + | 1.23319i | ||||
\(518\) | 5.88615 | − | 7.28882i | 0.258623 | − | 0.320253i | ||||
\(519\) | 0.842230 | − | 2.35387i | 0.0369698 | − | 0.103324i | ||||
\(520\) | −7.48027 | + | 18.0146i | −0.328032 | + | 0.789990i | ||||
\(521\) | 14.3436 | − | 13.0002i | 0.628403 | − | 0.569551i | −0.293988 | − | 0.955809i | \(-0.594983\pi\) |
0.922391 | + | 0.386258i | \(0.126233\pi\) | |||||||
\(522\) | 1.83196 | − | 13.0592i | 0.0801827 | − | 0.571587i | ||||
\(523\) | 5.66820 | + | 25.2417i | 0.247853 | + | 1.10374i | 0.928559 | + | 0.371184i | \(0.121048\pi\) |
−0.680706 | + | 0.732557i | \(0.738327\pi\) | |||||||
\(524\) | 0.00199699 | + | 0.00274254i | 8.72391e−5 | + | 0.000119808i | ||||
\(525\) | 5.15322 | − | 1.42609i | 0.224905 | − | 0.0622396i | ||||
\(526\) | −1.81437 | − | 9.98792i | −0.0791101 | − | 0.435494i | ||||
\(527\) | −2.94105 | + | 9.69533i | −0.128114 | + | 0.422335i | ||||
\(528\) | −1.71912 | + | 3.47585i | −0.0748153 | + | 0.151267i | ||||
\(529\) | 36.5071 | − | 11.0743i | 1.58726 | − | 0.481491i | ||||
\(530\) | 6.43161 | − | 19.9972i | 0.279371 | − | 0.868622i | ||||
\(531\) | −7.60709 | − | 15.1127i | −0.330119 | − | 0.655835i | ||||
\(532\) | 6.86221 | − | 16.1647i | 0.297514 | − | 0.700830i | ||||
\(533\) | −0.0110387 | − | 0.449666i | −0.000478139 | − | 0.0194772i | ||||
\(534\) | 4.45952 | + | 4.84297i | 0.192982 | + | 0.209576i | ||||
\(535\) | 16.9612 | − | 2.51596i | 0.733299 | − | 0.108775i | ||||
\(536\) | 29.8576 | − | 28.3772i | 1.28965 | − | 1.22571i | ||||
\(537\) | 1.69982 | + | 6.78605i | 0.0733525 | + | 0.292840i | ||||
\(538\) | 12.1217 | − | 12.3146i | 0.522606 | − | 0.530919i | ||||
\(539\) | 15.7566 | − | 31.3030i | 0.678685 | − | 1.34832i | ||||
\(540\) | −10.6099 | − | 0.876171i | −0.456578 | − | 0.0377044i | ||||
\(541\) | −7.75132 | − | 44.6719i | −0.333255 | − | 1.92060i | −0.387080 | − | 0.922046i | \(-0.626516\pi\) |
0.0538253 | − | 0.998550i | \(-0.482859\pi\) | |||||||
\(542\) | −0.529875 | − | 2.27550i | −0.0227601 | − | 0.0977410i | ||||
\(543\) | 3.99523 | − | 5.97928i | 0.171452 | − | 0.256596i | ||||
\(544\) | −2.13092 | + | 9.07935i | −0.0913624 | + | 0.389274i | ||||
\(545\) | 16.5000 | + | 24.6940i | 0.706781 | + | 1.05777i | ||||
\(546\) | 2.70951 | − | 2.89123i | 0.115956 | − | 0.123733i | ||||
\(547\) | 1.38808 | + | 2.19201i | 0.0593499 | + | 0.0937237i | 0.873228 | − | 0.487312i | \(-0.162023\pi\) |
−0.813878 | + | 0.581036i | \(0.802648\pi\) | |||||||
\(548\) | −21.3174 | + | 33.0202i | −0.910635 | + | 1.41055i | ||||
\(549\) | −0.204113 | + | 0.176069i | −0.00871133 | + | 0.00751445i | ||||
\(550\) | 16.7524 | + | 11.0034i | 0.714326 | + | 0.469187i | ||||
\(551\) | 5.37154 | − | 3.98381i | 0.228835 | − | 0.169716i | ||||
\(552\) | −5.67982 | + | 3.21104i | −0.241749 | + | 0.136671i | ||||
\(553\) | 5.77071 | − | 23.0380i | 0.245396 | − | 0.979674i | ||||
\(554\) | −9.64495 | − | 15.8074i | −0.409774 | − | 0.671592i | ||||
\(555\) | −0.575026 | − | 1.29724i | −0.0244085 | − | 0.0550647i | ||||
\(556\) | −32.3723 | + | 16.9404i | −1.37289 | + | 0.718431i | ||||
\(557\) | 3.15152 | + | 42.7241i | 0.133534 | + | 1.81028i | 0.485470 | + | 0.874253i | \(0.338649\pi\) |
−0.351936 | + | 0.936024i | \(0.614476\pi\) | |||||||
\(558\) | −19.8348 | + | 15.7326i | −0.839673 | + | 0.666014i | ||||
\(559\) | −13.7733 | − | 16.7828i | −0.582548 | − | 0.709837i | ||||
\(560\) | 23.8658 | − | 45.4137i | 1.00851 | − | 1.91908i | ||||
\(561\) | 1.23546 | + | 1.01391i | 0.0521611 | + | 0.0428075i | ||||
\(562\) | 29.9862 | + | 31.0019i | 1.26489 | + | 1.30774i | ||||
\(563\) | 0.314001 | − | 0.245049i | 0.0132336 | − | 0.0103276i | −0.608593 | − | 0.793482i | \(-0.708266\pi\) |
0.621827 | + | 0.783155i | \(0.286391\pi\) | |||||||
\(564\) | 5.50562 | − | 3.23471i | 0.231829 | − | 0.136206i | ||||
\(565\) | 6.75291 | − | 38.9180i | 0.284097 | − | 1.63729i | ||||
\(566\) | 1.37772 | + | 24.1537i | 0.0579100 | + | 1.01526i | ||||
\(567\) | −31.2472 | − | 14.7788i | −1.31226 | − | 0.620652i | ||||
\(568\) | 14.1163 | − | 0.681154i | 0.592305 | − | 0.0285806i | ||||
\(569\) | 16.1818 | + | 14.6663i | 0.678377 | + | 0.614845i | 0.936250 | − | 0.351334i | \(-0.114272\pi\) |
−0.257874 | + | 0.966179i | \(0.583022\pi\) | |||||||
\(570\) | −1.70350 | − | 2.04264i | −0.0713517 | − | 0.0855566i | ||||
\(571\) | −2.53502 | + | 9.16040i | −0.106087 | + | 0.383351i | −0.997567 | − | 0.0697095i | \(-0.977793\pi\) |
0.891480 | + | 0.453060i | \(0.149668\pi\) | |||||||
\(572\) | 14.8449 | + | 0.494607i | 0.620696 | + | 0.0206806i | ||||
\(573\) | 4.44735 | + | 0.109176i | 0.185791 | + | 0.00456091i | ||||
\(574\) | −0.0777171 | + | 1.18048i | −0.00324385 | + | 0.0492722i | ||||
\(575\) | 12.9056 | + | 31.1569i | 0.538202 | + | 1.29933i | ||||
\(576\) | −17.2942 | + | 15.6198i | −0.720594 | + | 0.650824i | ||||
\(577\) | 11.7092 | − | 28.2685i | 0.487461 | − | 1.17683i | −0.468532 | − | 0.883446i | \(-0.655217\pi\) |
0.955993 | − | 0.293388i | \(-0.0947829\pi\) | |||||||
\(578\) | −18.1123 | − | 8.93853i | −0.753371 | − | 0.371794i | ||||
\(579\) | 1.64617 | − | 1.56728i | 0.0684125 | − | 0.0651341i | ||||
\(580\) | 16.5971 | − | 10.3073i | 0.689155 | − | 0.427989i | ||||
\(581\) | 18.7308 | − | 10.6109i | 0.777086 | − | 0.440214i | ||||
\(582\) | 2.36116 | + | 1.23821i | 0.0978733 | + | 0.0513256i | ||||
\(583\) | −15.9762 | + | 0.784860i | −0.661666 | + | 0.0325056i | ||||
\(584\) | −15.0452 | − | 42.1644i | −0.622576 | − | 1.74478i | ||||
\(585\) | 6.76776 | + | 18.9146i | 0.279813 | + | 0.782024i | ||||
\(586\) | −4.21704 | + | 12.0856i | −0.174204 | + | 0.499253i | ||||
\(587\) | −15.0850 | − | 21.4191i | −0.622627 | − | 0.884062i | 0.376476 | − | 0.926427i | \(-0.377136\pi\) |
−0.999102 | + | 0.0423646i | \(0.986511\pi\) | |||||||
\(588\) | −4.69868 | + | 4.18423i | −0.193770 | + | 0.172555i | ||||
\(589\) | −12.7424 | − | 1.57162i | −0.525040 | − | 0.0647575i | ||||
\(590\) | 9.97688 | − | 22.9956i | 0.410741 | − | 0.946712i | ||||
\(591\) | 4.46031 | − | 0.439302i | 0.183473 | − | 0.0180705i | ||||
\(592\) | −5.95116 | − | 2.08236i | −0.244591 | − | 0.0855843i | ||||
\(593\) | 1.54551 | − | 15.6918i | 0.0634664 | − | 0.644385i | −0.909853 | − | 0.414931i | \(-0.863806\pi\) |
0.973319 | − | 0.229455i | \(-0.0736942\pi\) | |||||||
\(594\) | 2.22373 | + | 7.79568i | 0.0912406 | + | 0.319861i | ||||
\(595\) | −16.0111 | − | 13.8112i | −0.656390 | − | 0.566206i | ||||
\(596\) | 3.41763 | + | 11.6324i | 0.139992 | + | 0.476481i | ||||
\(597\) | −2.28341 | + | 5.91953i | −0.0934539 | + | 0.242270i | ||||
\(598\) | 20.1904 | + | 14.7287i | 0.825647 | + | 0.602301i | ||||
\(599\) | −19.7688 | − | 32.9823i | −0.807731 | − | 1.34762i | −0.934601 | − | 0.355699i | \(-0.884243\pi\) |
0.126869 | − | 0.991919i | \(-0.459507\pi\) | |||||||
\(600\) | −2.06939 | − | 2.94376i | −0.0844825 | − | 0.120178i | ||||
\(601\) | 30.7059 | + | 4.55479i | 1.25252 | + | 0.185794i | 0.739839 | − | 0.672784i | \(-0.234902\pi\) |
0.512682 | + | 0.858578i | \(0.328652\pi\) | |||||||
\(602\) | 32.0981 | + | 47.2272i | 1.30822 | + | 1.92484i | ||||
\(603\) | 3.12082 | − | 42.3079i | 0.127090 | − | 1.72291i | ||||
\(604\) | 3.32917 | + | 7.69170i | 0.135462 | + | 0.312971i | ||||
\(605\) | −0.133989 | + | 0.596682i | −0.00544744 | + | 0.0242586i | ||||
\(606\) | −7.33503 | − | 2.76314i | −0.297965 | − | 0.112245i | ||||
\(607\) | 21.2432 | + | 4.22554i | 0.862235 | + | 0.171509i | 0.606350 | − | 0.795198i | \(-0.292633\pi\) |
0.255885 | + | 0.966707i | \(0.417633\pi\) | |||||||
\(608\) | −11.7978 | − | 0.693578i | −0.478463 | − | 0.0281283i | ||||
\(609\) | −3.89253 | + | 0.774271i | −0.157733 | + | 0.0313751i | ||||
\(610\) | −0.394011 | − | 0.0651691i | −0.0159530 | − | 0.00263862i | ||||
\(611\) | −19.9972 | − | 14.0836i | −0.809001 | − | 0.569763i | ||||
\(612\) | 4.66081 | + | 8.39822i | 0.188402 | + | 0.339478i | ||||
\(613\) | −1.99232 | + | 0.658173i | −0.0804690 | + | 0.0265834i | −0.353635 | − | 0.935384i | \(-0.615054\pi\) |
0.273166 | + | 0.961967i | \(0.411929\pi\) | |||||||
\(614\) | −14.7651 | + | 36.4571i | −0.595871 | + | 1.47129i | ||||
\(615\) | 0.153688 | + | 0.0921168i | 0.00619728 | + | 0.00371451i | ||||
\(616\) | −38.7676 | − | 4.81583i | −1.56199 | − | 0.194035i | ||||
\(617\) | 20.0409 | + | 14.8633i | 0.806815 | + | 0.598375i | 0.918523 | − | 0.395366i | \(-0.129382\pi\) |
−0.111709 | + | 0.993741i | \(0.535632\pi\) | |||||||
\(618\) | −0.676549 | − | 1.84481i | −0.0272148 | − | 0.0742090i | ||||
\(619\) | 4.00396 | + | 3.81208i | 0.160933 | + | 0.153221i | 0.765738 | − | 0.643153i | \(-0.222374\pi\) |
−0.604805 | + | 0.796373i | \(0.706749\pi\) | |||||||
\(620\) | −36.7215 | − | 7.63944i | −1.47477 | − | 0.306807i | ||||
\(621\) | −4.27867 | + | 12.9517i | −0.171697 | + | 0.519734i | ||||
\(622\) | 32.3730 | − | 2.64497i | 1.29804 | − | 0.106054i | ||||
\(623\) | −31.2647 | + | 58.4921i | −1.25259 | + | 2.34343i | ||||
\(624\) | −2.44537 | − | 1.06348i | −0.0978930 | − | 0.0425734i | ||||
\(625\) | 24.6624 | − | 13.1823i | 0.986495 | − | 0.527293i | ||||
\(626\) | −18.0053 | − | 3.89425i | −0.719637 | − | 0.155646i | ||||
\(627\) | −0.998277 | + | 1.76220i | −0.0398673 | + | 0.0703757i | ||||
\(628\) | 7.74775 | + | 16.7596i | 0.309169 | + | 0.668782i | ||||
\(629\) | −1.39027 | + | 2.19547i | −0.0554335 | + | 0.0875391i | ||||
\(630\) | −13.2422 | − | 51.1501i | −0.527583 | − | 2.03787i | ||||
\(631\) | −2.10098 | + | 42.7665i | −0.0836388 | + | 1.70251i | 0.480636 | + | 0.876920i | \(0.340406\pi\) |
−0.564274 | + | 0.825587i | \(0.690844\pi\) | |||||||
\(632\) | −15.9074 | + | 1.55274i | −0.632762 | + | 0.0617648i | ||||
\(633\) | 4.93610 | − | 2.33460i | 0.196192 | − | 0.0927921i | ||||
\(634\) | −12.3890 | + | 6.74828i | −0.492030 | + | 0.268008i | ||||
\(635\) | 2.49032 | + | 20.1910i | 0.0988252 | + | 0.801253i | ||||
\(636\) | 2.71876 | + | 0.924656i | 0.107806 | + | 0.0366650i | ||||
\(637\) | 22.0319 | + | 9.76606i | 0.872935 | + | 0.386945i | ||||
\(638\) | −11.8001 | − | 9.05998i | −0.467170 | − | 0.358688i | ||||
\(639\) | 10.2920 | − | 10.2920i | 0.407147 | − | 0.407147i | ||||
\(640\) | −34.1824 | − | 4.85591i | −1.35118 | − | 0.191947i | ||||
\(641\) | 9.43735 | + | 9.43735i | 0.372753 | + | 0.372753i | 0.868479 | − | 0.495726i | \(-0.165098\pi\) |
−0.495726 | + | 0.868479i | \(0.665098\pi\) | |||||||
\(642\) | 0.305293 | + | 2.32415i | 0.0120489 | + | 0.0917268i | ||||
\(643\) | 12.4308 | − | 28.0435i | 0.490223 | − | 1.10593i | −0.482907 | − | 0.875672i | \(-0.660419\pi\) |
0.973130 | − | 0.230255i | \(-0.0739559\pi\) | |||||||
\(644\) | −49.3942 | − | 43.3684i | −1.94641 | − | 1.70895i | ||||
\(645\) | 8.58358 | − | 1.05868i | 0.337978 | − | 0.0416856i | ||||
\(646\) | −1.37714 | + | 4.67221i | −0.0541827 | + | 0.183826i | ||||
\(647\) | 4.81602 | + | 10.1826i | 0.189337 | + | 0.400320i | 0.976220 | − | 0.216783i | \(-0.0695563\pi\) |
−0.786883 | + | 0.617103i | \(0.788306\pi\) | |||||||
\(648\) | −2.30026 | + | 23.1480i | −0.0903626 | + | 0.909340i | ||||
\(649\) | −19.0645 | − | 0.936577i | −0.748345 | − | 0.0367639i | ||||
\(650\) | −6.99233 | + | 11.8775i | −0.274262 | + | 0.465876i | ||||
\(651\) | 6.43719 | + | 4.07631i | 0.252293 | + | 0.159763i | ||||
\(652\) | −9.42444 | + | 10.2169i | −0.369089 | + | 0.400125i | ||||
\(653\) | −40.8410 | − | 23.1362i | −1.59823 | − | 0.905388i | −0.994096 | − | 0.108509i | \(-0.965393\pi\) |
−0.604138 | − | 0.796880i | \(-0.706482\pi\) | |||||||
\(654\) | −3.41296 | + | 2.19915i | −0.133457 | + | 0.0859937i | ||||
\(655\) | 0.00244017 | + | 0.00456524i | 9.53455e−5 | + | 0.000178379i | ||||
\(656\) | 0.765805 | − | 0.217725i | 0.0298997 | − | 0.00850073i | ||||
\(657\) | −40.6623 | − | 21.7345i | −1.58639 | − | 0.847942i | ||||
\(658\) | 49.0412 | + | 41.6329i | 1.91182 | + | 1.62302i | ||||
\(659\) | 35.2839 | + | 11.6562i | 1.37446 | + | 0.454062i | 0.903688 | − | 0.428191i | \(-0.140849\pi\) |
0.470776 | + | 0.882253i | \(0.343974\pi\) | |||||||
\(660\) | −3.33017 | + | 4.89063i | −0.129627 | + | 0.190368i | ||||
\(661\) | −9.72593 | + | 10.2155i | −0.378295 | + | 0.397335i | −0.885613 | − | 0.464423i | \(-0.846262\pi\) |
0.507319 | + | 0.861759i | \(0.330637\pi\) | |||||||
\(662\) | −36.9159 | − | 17.1048i | −1.43478 | − | 0.664796i | ||||
\(663\) | −0.654712 | + | 0.882777i | −0.0254269 | + | 0.0342842i | ||||
\(664\) | −10.9618 | − | 9.47242i | −0.425402 | − | 0.367601i | ||||
\(665\) | 13.7754 | − | 22.9829i | 0.534188 | − | 0.891240i | ||||
\(666\) | −5.97936 | + | 2.53219i | −0.231695 | + | 0.0981203i | ||||
\(667\) | −7.85206 | − | 23.7685i | −0.304033 | − | 0.920321i | ||||
\(668\) | 7.19747 | + | 5.71913i | 0.278478 | + | 0.221280i | ||||
\(669\) | −0.263873 | + | 0.374671i | −0.0102019 | + | 0.0144856i | ||||
\(670\) | 51.0991 | − | 36.5946i | 1.97413 | − | 1.41377i | ||||
\(671\) | 0.0593277 | + | 0.298261i | 0.00229032 | + | 0.0115142i | ||||
\(672\) | 6.15323 | + | 3.36558i | 0.237366 | + | 0.129830i | ||||
\(673\) | −7.46247 | + | 37.5164i | −0.287657 | + | 1.44615i | 0.518820 | + | 0.854884i | \(0.326372\pi\) |
−0.806477 | + | 0.591266i | \(0.798628\pi\) | |||||||
\(674\) | −16.4721 | − | 36.3828i | −0.634482 | − | 1.40141i | ||||
\(675\) | −7.33975 | − | 1.64820i | −0.282507 | − | 0.0634391i | ||||
\(676\) | −0.249114 | − | 15.7840i | −0.00958130 | − | 0.607076i | ||||
\(677\) | 22.9690 | + | 1.69429i | 0.882770 | + | 0.0651170i | 0.507352 | − | 0.861739i | \(-0.330624\pi\) |
0.375417 | + | 0.926856i | \(0.377499\pi\) | |||||||
\(678\) | 5.30429 | + | 1.01165i | 0.203710 | + | 0.0388520i | ||||
\(679\) | −3.94109 | + | 26.5687i | −0.151245 | + | 1.01961i | ||||
\(680\) | −5.13287 | + | 13.2720i | −0.196837 | + | 0.508958i | ||||
\(681\) | −1.87511 | + | 1.12390i | −0.0718544 | + | 0.0430678i | ||||
\(682\) | 4.41356 | + | 28.2179i | 0.169004 | + | 1.08052i | ||||
\(683\) | 41.5601 | + | 16.0315i | 1.59025 | + | 0.613429i | 0.983411 | − | 0.181392i | \(-0.0580604\pi\) |
0.606844 | + | 0.794821i | \(0.292435\pi\) | |||||||
\(684\) | −9.47593 | + | 7.63873i | −0.362321 | + | 0.292074i | ||||
\(685\) | −39.1710 | + | 45.4101i | −1.49665 | + | 1.73503i | ||||
\(686\) | −19.0330 | − | 10.5845i | −0.726682 | − | 0.404119i | ||||
\(687\) | −1.24437 | − | 0.122560i | −0.0474756 | − | 0.00467594i | ||||
\(688\) | 22.6747 | − | 31.0261i | 0.864466 | − | 1.18286i | ||||
\(689\) | −1.07815 | − | 10.9466i | −0.0410742 | − | 0.417033i | ||||
\(690\) | −9.25987 | + | 3.65612i | −0.352517 | + | 0.139186i | ||||
\(691\) | 0.271664 | − | 2.20259i | 0.0103346 | − | 0.0837905i | −0.986428 | − | 0.164197i | \(-0.947497\pi\) |
0.996762 | + | 0.0804063i | \(0.0256218\pi\) | |||||||
\(692\) | −5.57006 | − | 16.0081i | −0.211742 | − | 0.608538i | ||||
\(693\) | −32.8942 | + | 23.1667i | −1.24955 | + | 0.880030i | ||||
\(694\) | −2.24060 | − | 4.64222i | −0.0850520 | − | 0.176216i | ||||
\(695\) | −52.4902 | + | 18.7813i | −1.99107 | + | 0.712415i | ||||
\(696\) | 1.37112 | + | 2.29210i | 0.0519721 | + | 0.0868819i | ||||
\(697\) | −0.0161011 | − | 0.327746i | −0.000609873 | − | 0.0124143i | ||||
\(698\) | −2.38138 | − | 7.63301i | −0.0901365 | − | 0.288914i | ||||
\(699\) | 1.49159 | + | 2.63303i | 0.0564172 | + | 0.0995903i | ||||
\(700\) | 21.1324 | − | 29.4540i | 0.798729 | − | 1.11326i | ||||
\(701\) | −17.1996 | − | 18.0653i | −0.649621 | − | 0.682318i | 0.314051 | − | 0.949406i | \(-0.398314\pi\) |
−0.963672 | + | 0.267088i | \(0.913939\pi\) | |||||||
\(702\) | −5.27936 | + | 1.79039i | −0.199257 | + | 0.0675740i | ||||
\(703\) | −3.04237 | − | 1.26019i | −0.114745 | − | 0.0475290i | ||||
\(704\) | 5.71549 | + | 25.6614i | 0.215411 | + | 0.967151i | ||||
\(705\) | 9.00160 | − | 3.72859i | 0.339020 | − | 0.140427i | ||||
\(706\) | 12.0173 | − | 10.5327i | 0.452276 | − | 0.396403i | ||||
\(707\) | 1.93789 | − | 78.9407i | 0.0728817 | − | 2.96887i | ||||
\(708\) | 3.12053 | + | 1.41608i | 0.117277 | + | 0.0532196i | ||||
\(709\) | −27.1492 | − | 7.51321i | −1.01961 | − | 0.282164i | −0.283462 | − | 0.958984i | \(-0.591483\pi\) |
−0.736149 | + | 0.676819i | \(0.763358\pi\) | |||||||
\(710\) | 21.4762 | + | 1.94425i | 0.805989 | + | 0.0729663i | ||||
\(711\) | −11.0544 | + | 12.1966i | −0.414572 | + | 0.457410i | ||||
\(712\) | 44.1453 | + | 6.58767i | 1.65442 | + | 0.246883i | ||||
\(713\) | −20.5468 | + | 43.4425i | −0.769483 | + | 1.62694i | ||||
\(714\) | 1.92430 | − | 2.15710i | 0.0720150 | − | 0.0807274i | ||||
\(715\) | 22.3297 | + | 3.87457i | 0.835083 | + | 0.144901i | ||||
\(716\) | 37.8465 | + | 28.5863i | 1.41439 | + | 1.06832i | ||||
\(717\) | −1.56974 | − | 2.01144i | −0.0586231 | − | 0.0751186i | ||||
\(718\) | 38.2866 | + | 0.637645i | 1.42884 | + | 0.0237967i | ||||
\(719\) | −21.3012 | + | 25.9556i | −0.794402 | + | 0.967982i | −0.999943 | − | 0.0106664i | \(-0.996605\pi\) |
0.205541 | + | 0.978649i | \(0.434105\pi\) | |||||||
\(720\) | −29.4257 | + | 19.9618i | −1.09663 | + | 0.743933i | ||||
\(721\) | 15.3021 | − | 12.5581i | 0.569880 | − | 0.467689i | ||||
\(722\) | 20.5612 | + | 2.37143i | 0.765209 | + | 0.0882555i | ||||
\(723\) | −4.47193 | + | 0.329870i | −0.166313 | + | 0.0122680i | ||||
\(724\) | −4.35348 | − | 48.5600i | −0.161796 | − | 1.80472i | ||||
\(725\) | 12.6207 | − | 5.59439i | 0.468722 | − | 0.207770i | ||||
\(726\) | −0.0812549 | − | 0.0196732i | −0.00301565 | − | 0.000730143i | ||||
\(727\) | 51.1859 | + | 12.8214i | 1.89838 | + | 0.475520i | 0.999287 | + | 0.0377647i | \(0.0120237\pi\) |
0.899094 | + | 0.437755i | \(0.144226\pi\) | |||||||
\(728\) | 1.99960 | − | 26.7897i | 0.0741103 | − | 0.992892i | ||||
\(729\) | 13.3518 | + | 18.0029i | 0.494513 | + | 0.666773i | ||||
\(730\) | −13.8546 | − | 66.8890i | −0.512782 | − | 2.47567i | ||||
\(731\) | −10.3454 | − | 11.9932i | −0.382638 | − | 0.443584i | ||||
\(732\) | 0.00980488 | − | 0.0537087i | 0.000362399 | − | 0.00198513i | ||||
\(733\) | −38.8882 | + | 24.6257i | −1.43637 | + | 0.909570i | −0.436416 | + | 0.899745i | \(0.643753\pi\) |
−0.999952 | + | 0.00982525i | \(0.996872\pi\) | |||||||
\(734\) | −0.344277 | − | 10.6108i | −0.0127075 | − | 0.391653i | ||||
\(735\) | −7.98215 | + | 5.33350i | −0.294426 | + | 0.196729i | ||||
\(736\) | −16.3171 | + | 41.1163i | −0.601455 | + | 1.51557i | ||||
\(737\) | −39.7936 | − | 26.5892i | −1.46582 | − | 0.979427i | ||||
\(738\) | 0.433193 | − | 0.696180i | 0.0159461 | − | 0.0256268i | ||||
\(739\) | −7.57513 | + | 1.31441i | −0.278656 | + | 0.0483514i | −0.308572 | − | 0.951201i | \(-0.599851\pi\) |
0.0299161 | + | 0.999552i | \(0.490476\pi\) | |||||||
\(740\) | −8.55485 | − | 4.40052i | −0.314483 | − | 0.161766i | ||||
\(741\) | −1.24404 | − | 0.626197i | −0.0457009 | − | 0.0230039i | ||||
\(742\) | 0.228277 | + | 28.9294i | 0.00838033 | + | 1.06203i | ||||
\(743\) | −5.56873 | + | 1.39489i | −0.204297 | + | 0.0511737i | −0.343778 | − | 0.939051i | \(-0.611707\pi\) |
0.139481 | + | 0.990225i | \(0.455457\pi\) | |||||||
\(744\) | 1.12783 | − | 5.00204i | 0.0413481 | − | 0.183384i | ||||
\(745\) | 2.71440 | + | 18.2990i | 0.0994480 | + | 0.670424i | ||||
\(746\) | −0.542113 | + | 13.1517i | −0.0198482 | + | 0.481518i | ||||
\(747\) | −14.9161 | + | 0.366170i | −0.545752 | + | 0.0133975i | ||||
\(748\) | 10.8353 | + | 0.0949446i | 0.396178 | + | 0.00347152i | ||||
\(749\) | −21.0937 | + | 10.6177i | −0.770748 | + | 0.387962i | ||||
\(750\) | 0.399611 | + | 0.778533i | 0.0145917 | + | 0.0284280i | ||||
\(751\) | −11.6097 | − | 38.2721i | −0.423645 | − | 1.39657i | −0.866141 | − | 0.499800i | \(-0.833407\pi\) |
0.442496 | − | 0.896771i | \(-0.354093\pi\) | |||||||
\(752\) | 15.2969 | − | 40.5000i | 0.557819 | − | 1.47688i | ||||
\(753\) | 4.15615 | + | 1.26076i | 0.151459 | + | 0.0459445i | ||||
\(754\) | 5.82461 | − | 8.41050i | 0.212120 | − | 0.306292i | ||||
\(755\) | 3.41083 | + | 12.3251i | 0.124133 | + | 0.448558i | ||||
\(756\) | 14.2534 | − | 3.43785i | 0.518391 | − | 0.125033i | ||||
\(757\) | −15.0047 | + | 3.36941i | −0.545354 | + | 0.122463i | −0.483048 | − | 0.875594i | \(-0.660470\pi\) |
−0.0623058 | + | 0.998057i | \(0.519845\pi\) | |||||||
\(758\) | 11.6166 | + | 15.4076i | 0.421935 | + | 0.559630i | ||||
\(759\) | 5.09098 | + | 5.61703i | 0.184791 | + | 0.203885i | ||||
\(760\) | −17.6829 | − | 3.53338i | −0.641427 | − | 0.128169i | ||||
\(761\) | 4.54657 | + | 1.62679i | 0.164813 | + | 0.0589711i | 0.418004 | − | 0.908445i | \(-0.362730\pi\) |
−0.253190 | + | 0.967416i | \(0.581480\pi\) | |||||||
\(762\) | −2.76555 | + | 0.294435i | −0.100185 | + | 0.0106662i | ||||
\(763\) | −32.2456 | − | 25.1647i | −1.16737 | − | 0.911023i | ||||
\(764\) | 23.9390 | − | 18.3470i | 0.866084 | − | 0.663771i | ||||
\(765\) | 5.27439 | + | 13.6734i | 0.190696 | + | 0.494361i | ||||
\(766\) | −10.5228 | + | 39.2259i | −0.380203 | + | 1.41729i | ||||
\(767\) | − | 13.1259i | − | 0.473948i | ||||||
\(768\) | 0.741567 | − | 4.66131i | 0.0267590 | − | 0.168201i | ||||
\(769\) | − | 26.2562i | − | 0.946821i | −0.880842 | − | 0.473411i | \(-0.843023\pi\) | ||
0.880842 | − | 0.473411i | \(-0.156977\pi\) | |||||||
\(770\) | −57.5718 | − | 15.4443i | −2.07474 | − | 0.556572i | ||||
\(771\) | −1.12522 | − | 2.91703i | −0.0405239 | − | 0.105054i | ||||
\(772\) | 2.02028 | − | 15.2770i | 0.0727116 | − | 0.549831i | ||||
\(773\) | −25.4326 | − | 19.8478i | −0.914747 | − | 0.713875i | 0.0437307 | − | 0.999043i | \(-0.486076\pi\) |
−0.958478 | + | 0.285168i | \(0.907951\pi\) | |||||||
\(774\) | −4.18993 | − | 39.3550i | −0.150604 | − | 1.41459i | ||||
\(775\) | −24.9538 | − | 8.92862i | −0.896368 | − | 0.320725i | ||||
\(776\) | 17.7315 | − | 3.51095i | 0.636523 | − | 0.126036i | ||||
\(777\) | 1.31240 | + | 1.44801i | 0.0470822 | + | 0.0519472i | ||||
\(778\) | −33.6937 | + | 25.4035i | −1.20798 | + | 0.910758i | ||||
\(779\) | 0.405722 | − | 0.0911079i | 0.0145365 | − | 0.00326428i | ||||
\(780\) | −3.47146 | − | 2.12228i | −0.124298 | − | 0.0759897i | ||||
\(781\) | −4.37953 | − | 15.8256i | −0.156712 | − | 0.566284i | ||||
\(782\) | 14.9886 | + | 10.3802i | 0.535992 | + | 0.371196i | ||||
\(783\) | 5.34323 | + | 1.62085i | 0.190951 | + | 0.0579245i | ||||
\(784\) | −6.99740 | + | 42.0783i | −0.249907 | + | 1.50280i | ||||
\(785\) | 8.17809 | + | 26.9595i | 0.291889 | + | 0.962228i | ||||
\(786\) | −0.000629575 | 0 | 0.000323153i | −2.24562e−5 | 0 | 1.15265e-5i | ||||
\(787\) | 26.9508 | − | 13.5659i | 0.960693 | − | 0.483572i | 0.101282 | − | 0.994858i | \(-0.467705\pi\) |
0.859411 | + | 0.511285i | \(0.170830\pi\) | |||||||
\(788\) | 21.6737 | − | 21.2972i | 0.772093 | − | 0.758680i | ||||
\(789\) | 2.11687 | − | 0.0519663i | 0.0753626 | − | 0.00185005i | ||||
\(790\) | −24.3667 | − | 1.00439i | −0.866927 | − | 0.0357347i | ||||
\(791\) | 7.98216 | + | 53.8114i | 0.283813 | + | 1.91331i | ||||
\(792\) | 22.1234 | + | 15.6099i | 0.786121 | + | 0.554675i | ||||
\(793\) | −0.202856 | + | 0.0508128i | −0.00720362 | + | 0.00180441i | ||||
\(794\) | −23.7341 | + | 0.187282i | −0.842291 | + | 0.00664640i | ||||
\(795\) | 3.91386 | + | 1.97007i | 0.138810 | + | 0.0698712i | ||||
\(796\) | 13.1347 | + | 40.9609i | 0.465548 | + | 1.45182i | ||||
\(797\) | 30.2561 | − | 5.24993i | 1.07173 | − | 0.185962i | 0.392397 | − | 0.919796i | \(-0.371646\pi\) |
0.679329 | + | 0.733834i | \(0.262271\pi\) | |||||||
\(798\) | 3.11016 | + | 1.93527i | 0.110098 | + | 0.0685079i | ||||
\(799\) | −14.8362 | − | 9.91323i | −0.524867 | − | 0.350705i | ||||
\(800\) | −23.4484 | − | 6.73291i | −0.829027 | − | 0.238044i | ||||
\(801\) | 38.2213 | − | 25.5387i | 1.35048 | − | 0.902364i | ||||
\(802\) | −33.6898 | + | 1.09309i | −1.18963 | + | 0.0385984i | ||||
\(803\) | −43.9451 | + | 27.8279i | −1.55079 | + | 0.982027i | ||||
\(804\) | 4.88576 | + | 7.06800i | 0.172308 | + | 0.249269i | ||||
\(805\) | −65.5099 | − | 75.9441i | −2.30892 | − | 2.67668i | ||||
\(806\) | −19.2323 | + | 3.98356i | −0.677429 | + | 0.140315i | ||||
\(807\) | 2.14715 | + | 2.89509i | 0.0755832 | + | 0.101912i | ||||
\(808\) | −50.4736 | + | 16.6255i | −1.77566 | + | 0.584881i | ||||
\(809\) | −12.5836 | − | 3.15204i | −0.442417 | − | 0.110820i | 0.0153693 | − | 0.999882i | \(-0.495108\pi\) |
−0.457787 | + | 0.889062i | \(0.651358\pi\) | |||||||
\(810\) | −8.35237 | + | 34.4972i | −0.293472 | + | 1.21211i | ||||
\(811\) | −4.86354 | + | 2.15586i | −0.170782 | + | 0.0757025i | −0.488861 | − | 0.872362i | \(-0.662587\pi\) |
0.318079 | + | 0.948064i | \(0.396962\pi\) | |||||||
\(812\) | −17.2515 | + | 20.6493i | −0.605408 | + | 0.724650i | ||||
\(813\) | 0.486032 | − | 0.0358519i | 0.0170459 | − | 0.00125738i | ||||
\(814\) | −0.839331 | + | 7.27732i | −0.0294185 | + | 0.255070i | ||||
\(815\) | −16.3946 | + | 13.4547i | −0.574278 | + | 0.471298i | ||||
\(816\) | −1.80246 | − | 0.731822i | −0.0630986 | − | 0.0256189i | ||||
\(817\) | 12.7329 | − | 15.5151i | 0.445469 | − | 0.542805i | ||||
\(818\) | 0.850171 | − | 51.0474i | 0.0297255 | − | 1.78483i | ||||
\(819\) | −17.0218 | − | 21.8114i | −0.594789 | − | 0.762151i | ||||
\(820\) | 1.20316 | − | 0.167712i | 0.0420163 | − | 0.00585674i | ||||
\(821\) | −21.7473 | − | 3.77352i | −0.758987 | − | 0.131697i | −0.221722 | − | 0.975110i | \(-0.571168\pi\) |
−0.537265 | + | 0.843413i | \(0.680543\pi\) | |||||||
\(822\) | −6.11790 | − | 5.45764i | −0.213386 | − | 0.190357i | ||||
\(823\) | 21.3903 | − | 45.2260i | 0.745619 | − | 1.57648i | −0.0697692 | − | 0.997563i | \(-0.522226\pi\) |
0.815388 | − | 0.578915i | \(-0.196524\pi\) | |||||||
\(824\) | −11.4206 | − | 6.85878i | −0.397855 | − | 0.238937i | ||||
\(825\) | −2.80767 | + | 3.09778i | −0.0977504 | + | 0.107851i | ||||
\(826\) | −3.11261 | + | 34.3820i | −0.108302 | + | 1.19630i | ||||
\(827\) | −20.2758 | − | 5.61106i | −0.705058 | − | 0.195116i | −0.104299 | − | 0.994546i | \(-0.533260\pi\) |
−0.600759 | + | 0.799430i | \(0.705135\pi\) | |||||||
\(828\) | 16.0230 | + | 42.6473i | 0.556839 | + | 1.48210i | ||||
\(829\) | −0.516450 | + | 21.0378i | −0.0179371 | + | 0.730674i | 0.921583 | + | 0.388181i | \(0.126896\pi\) |
−0.939520 | + | 0.342493i | \(0.888729\pi\) | |||||||
\(830\) | −14.5704 | − | 16.6240i | −0.505744 | − | 0.577029i | ||||
\(831\) | 3.56861 | − | 1.47817i | 0.123794 | − | 0.0512770i | ||||
\(832\) | −17.4325 | + | 4.79151i | −0.604362 | + | 0.166116i | ||||
\(833\) | 16.2428 | + | 6.72798i | 0.562779 | + | 0.233111i | ||||
\(834\) | −2.44770 | − | 7.21759i | −0.0847571 | − | 0.249925i | ||||
\(835\) | 9.67220 | + | 10.1590i | 0.334720 | + | 0.351568i | ||||
\(836\) | 2.22888 | + | 13.5491i | 0.0770873 | + | 0.468605i | ||||
\(837\) | −5.28364 | − | 9.32693i | −0.182629 | − | 0.322386i | ||||
\(838\) | −18.0636 | + | 5.63556i | −0.623997 | + | 0.194677i | ||||
\(839\) | 0.601744 | + | 12.2488i | 0.0207745 | + | 0.422875i | 0.986546 | + | 0.163482i | \(0.0522725\pi\) |
−0.965772 | + | 0.259393i | \(0.916477\pi\) | |||||||
\(840\) | 8.58991 | + | 6.38232i | 0.296380 | + | 0.220211i | ||||
\(841\) | 17.6568 | − | 6.31772i | 0.608857 | − | 0.217852i | ||||
\(842\) | −2.41932 | + | 1.16770i | −0.0833754 | + | 0.0402417i | ||||
\(843\) | −7.35570 | + | 5.18047i | −0.253344 | + | 0.178425i | ||||
\(844\) | 16.1207 | − | 33.3256i | 0.554896 | − | 1.14711i | ||||
\(845\) | 2.94847 | − | 23.9055i | 0.101430 | − | 0.822375i | ||||
\(846\) | −16.3743 | − | 41.4711i | −0.562959 | − | 1.42581i | ||||
\(847\) | −0.0825537 | − | 0.838182i | −0.00283658 | − | 0.0288003i | ||||
\(848\) | 18.2848 | − | 6.68755i | 0.627903 | − | 0.229651i | ||||
\(849\) | −5.02219 | − | 0.494643i | −0.172361 | − | 0.0169761i | ||||
\(850\) | −4.88689 | + | 8.78753i | −0.167619 | + | 0.301410i | ||||
\(851\) | −8.05096 | + | 9.33330i | −0.275983 | + | 0.319942i | ||||
\(852\) | −0.314648 | + | 2.93114i | −0.0107797 | + | 0.100419i | ||||
\(853\) | 3.77574 | + | 1.45646i | 0.129279 | + | 0.0498683i | 0.423670 | − | 0.905817i | \(-0.360742\pi\) |
−0.294391 | + | 0.955685i | \(0.595117\pi\) | |||||||
\(854\) | 0.543412 | − | 0.0849951i | 0.0185952 | − | 0.00290847i | ||||
\(855\) | −15.9293 | + | 9.54767i | −0.544771 | + | 0.326523i | ||||
\(856\) | 11.5006 | + | 10.9686i | 0.393081 | + | 0.374898i | ||||
\(857\) | 4.12664 | − | 27.8196i | 0.140963 | − | 0.950298i | −0.797103 | − | 0.603843i | \(-0.793635\pi\) |
0.938067 | − | 0.346455i | \(-0.112615\pi\) | |||||||
\(858\) | −0.580445 | + | 3.04341i | −0.0198161 | + | 0.103900i | ||||
\(859\) | 51.2986 | + | 3.78401i | 1.75029 | + | 0.129109i | 0.910420 | − | 0.413685i | \(-0.135759\pi\) |
0.839866 | + | 0.542794i | \(0.182634\pi\) | |||||||
\(860\) | 40.8022 | − | 42.1108i | 1.39134 | − | 1.43597i | ||||
\(861\) | −0.240777 | − | 0.0540683i | −0.00820566 | − | 0.00184264i | ||||
\(862\) | −24.2635 | + | 10.9851i | −0.826417 | + | 0.374155i | ||||
\(863\) | −3.63041 | + | 18.2513i | −0.123581 | + | 0.621282i | 0.868501 | + | 0.495687i | \(0.165084\pi\) |
−0.992082 | + | 0.125594i | \(0.959916\pi\) | |||||||
\(864\) | −5.40267 | − | 8.25676i | −0.183802 | − | 0.280901i | ||||
\(865\) | −5.04544 | − | 25.3651i | −0.171550 | − | 0.862440i | ||||
\(866\) | 2.24993 | + | 3.14170i | 0.0764558 | + | 0.106759i | ||||
\(867\) | 2.42596 | − | 3.44459i | 0.0823898 | − | 0.116985i | ||||
\(868\) | 51.3220 | − | 5.87390i | 1.74198 | − | 0.199373i | ||||
\(869\) | 5.82514 | + | 17.6330i | 0.197604 | + | 0.598157i | ||||
\(870\) | 1.58922 | + | 3.75270i | 0.0538798 | + | 0.127228i | ||||
\(871\) | 16.9199 | − | 28.2291i | 0.573308 | − | 0.956506i | ||||
\(872\) | −8.65738 | + | 26.1298i | −0.293176 | + | 0.884866i | ||||
\(873\) | 11.0896 | − | 14.9526i | 0.375326 | − | 0.506068i | ||||
\(874\) | −9.71311 | + | 20.9630i | −0.328551 | + | 0.709085i | ||||
\(875\) | −6.07901 | + | 6.38498i | −0.205508 | + | 0.215852i | ||||
\(876\) | 9.17454 | − | 1.74150i | 0.309979 | − | 0.0588399i | ||||
\(877\) | 30.2246 | + | 9.98486i | 1.02061 | + | 0.337165i | 0.774836 | − | 0.632162i | \(-0.217832\pi\) |
0.245776 | + | 0.969327i | \(0.420957\pi\) | |||||||
\(878\) | −17.8082 | + | 20.9771i | −0.600999 | + | 0.707944i | ||||
\(879\) | −2.35477 | − | 1.25865i | −0.0794244 | − | 0.0424532i | ||||
\(880\) | 3.23172 | + | 39.9840i | 0.108941 | + | 1.34786i | ||||
\(881\) | −2.75283 | − | 5.15019i | −0.0927453 | − | 0.173514i | 0.831271 | − | 0.555867i | \(-0.187614\pi\) |
−0.924016 | + | 0.382353i | \(0.875114\pi\) | |||||||
\(882\) | 23.7953 | + | 36.9289i | 0.801228 | + | 1.24346i | ||||
\(883\) | −22.3730 | − | 12.6742i | −0.752912 | − | 0.426519i | 0.0679187 | − | 0.997691i | \(-0.478364\pi\) |
−0.820831 | + | 0.571171i | \(0.806489\pi\) | |||||||
\(884\) | 0.300397 | + | 7.44533i | 0.0101034 | + | 0.250414i | ||||
\(885\) | 4.41751 | + | 2.79735i | 0.148493 | + | 0.0940320i | ||||
\(886\) | −17.1720 | − | 10.1092i | −0.576903 | − | 0.339624i | ||||
\(887\) | −13.8089 | − | 0.678390i | −0.463659 | − | 0.0227781i | −0.184102 | − | 0.982907i | \(-0.558938\pi\) |
−0.279557 | + | 0.960129i | \(0.590188\pi\) | |||||||
\(888\) | 0.620979 | − | 1.15934i | 0.0208387 | − | 0.0389048i | ||||
\(889\) | −11.9794 | − | 25.3284i | −0.401777 | − | 0.849487i | ||||
\(890\) | 65.3255 | + | 19.2547i | 2.18972 | + | 0.645419i | ||||
\(891\) | 26.8243 | − | 3.30846i | 0.898647 | − | 0.110838i | ||||
\(892\) | 0.201402 | + | 3.10040i | 0.00674343 | + | 0.103809i | ||||
\(893\) | 9.16306 | − | 20.6715i | 0.306630 | − | 0.691747i | ||||
\(894\) | −2.50746 | + | 0.329372i | −0.0838619 | + | 0.0110158i | ||||
\(895\) | 51.1725 | + | 51.1725i | 1.71051 | + | 1.71051i | ||||
\(896\) | 46.7990 | − | 8.41708i | 1.56345 | − | 0.281195i | ||||
\(897\) | −3.68623 | + | 3.68623i | −0.123080 | + | 0.123080i | ||||
\(898\) | 5.88900 | − | 7.67008i | 0.196519 | − | 0.255954i | ||||
\(899\) | 17.9844 | + | 7.97196i | 0.599815 | + | 0.265880i | ||||
\(900\) | −22.5405 | + | 11.0995i | −0.751351 | + | 0.369983i | ||||
\(901\) | −0.982280 | − | 7.96412i | −0.0327245 | − | 0.265323i | ||||
\(902\) | −0.442480 | − | 0.812338i | −0.0147330 | − | 0.0270479i | ||||
\(903\) | −10.7676 | + | 5.09270i | −0.358324 | + | 0.169474i | ||||
\(904\) | 32.3022 | − | 17.2297i | 1.07436 | − | 0.573052i | ||||
\(905\) | 3.65022 | − | 74.3019i | 0.121337 | − | 2.46988i | ||||
\(906\) | −1.69248 | + | 0.438165i | −0.0562288 | + | 0.0145571i | ||||
\(907\) | −11.9651 | + | 18.8950i | −0.397295 | + | 0.627398i | −0.983103 | − | 0.183052i | \(-0.941402\pi\) |
0.585808 | + | 0.810450i | \(0.300777\pi\) | |||||||
\(908\) | −5.11529 | + | 13.9108i | −0.169757 | + | 0.461645i | ||||
\(909\) | −26.9762 | + | 47.6197i | −0.894745 | + | 1.57945i | ||||
\(910\) | 8.66515 | − | 40.0639i | 0.287247 | − | 1.32810i | ||||
\(911\) | 19.5786 | − | 10.4650i | 0.648669 | − | 0.346721i | −0.114027 | − | 0.993478i | \(-0.536375\pi\) |
0.762696 | + | 0.646757i | \(0.223875\pi\) | |||||||
\(912\) | 0.523229 | − | 2.40902i | 0.0173259 | − | 0.0797706i | ||||
\(913\) | −7.93487 | + | 14.8451i | −0.262606 | + | 0.491301i | ||||
\(914\) | 0.516970 | + | 6.32744i | 0.0170998 | + | 0.209293i | ||||
\(915\) | 0.0261312 | − | 0.0791002i | 0.000863870 | − | 0.00261497i | ||||
\(916\) | −7.08965 | + | 4.64781i | −0.234248 | + | 0.153568i | ||||
\(917\) | −0.00516333 | − | 0.00491590i | −0.000170508 | − | 0.000162337i | ||||
\(918\) | −3.81821 | + | 1.40026i | −0.126020 | + | 0.0462154i | ||||
\(919\) | 25.5204 | + | 18.9272i | 0.841839 | + | 0.624351i | 0.928270 | − | 0.371907i | \(-0.121296\pi\) |
−0.0864305 | + | 0.996258i | \(0.527546\pi\) | |||||||
\(920\) | −33.3199 | + | 58.6984i | −1.09852 | + | 1.93523i | ||||
\(921\) | −7.03743 | − | 4.21807i | −0.231891 | − | 0.138990i | ||||
\(922\) | −44.2844 | − | 17.9351i | −1.45843 | − | 0.590662i | ||||
\(923\) | 10.7219 | − | 3.54203i | 0.352915 | − | 0.116587i | ||||
\(924\) | 2.24212 | − | 7.83429i | 0.0737605 | − | 0.257729i | ||||
\(925\) | −5.55773 | − | 3.91419i | −0.182737 | − | 0.128698i | ||||
\(926\) | −0.768003 | + | 4.64333i | −0.0252381 | + | 0.152589i | ||||
\(927\) | −13.4565 | + | 2.67666i | −0.441969 | + | 0.0879131i | ||||
\(928\) | 16.9900 | + | 6.26439i | 0.557723 | + | 0.205639i | ||||
\(929\) | 57.5624 | + | 11.4499i | 1.88856 | + | 0.375658i | 0.997011 | − | 0.0772613i | \(-0.0246176\pi\) |
0.891551 | + | 0.452920i | \(0.149618\pi\) | |||||||
\(930\) | 2.75808 | − | 7.32160i | 0.0904411 | − | 0.240085i | ||||
\(931\) | −4.88136 | + | 21.7377i | −0.159980 | + | 0.712424i | ||||
\(932\) | 19.0765 | + | 7.55130i | 0.624871 | + | 0.247351i | ||||
\(933\) | −0.498422 | + | 6.75694i | −0.0163176 | + | 0.221212i | ||||
\(934\) | 3.14694 | − | 2.13883i | 0.102971 | − | 0.0699845i | ||||
\(935\) | 16.3545 | + | 2.42596i | 0.534849 | + | 0.0793374i | ||||
\(936\) | −9.97505 | + | 15.7220i | −0.326045 | + | 0.513889i | ||||
\(937\) | 10.1612 | + | 16.9529i | 0.331952 | + | 0.553828i | 0.977774 | − | 0.209659i | \(-0.0672355\pi\) |
−0.645823 | + | 0.763487i | \(0.723485\pi\) | |||||||
\(938\) | −51.0142 | + | 69.9313i | −1.66567 | + | 2.28334i | ||||
\(939\) | 1.38294 | − | 3.58515i | 0.0451307 | − | 0.116997i | ||||
\(940\) | 31.6483 | − | 57.9820i | 1.03225 | − | 1.89116i | ||||
\(941\) | −17.2195 | − | 14.8537i | −0.561340 | − | 0.484216i | 0.325975 | − | 0.945378i | \(-0.394307\pi\) |
−0.887316 | + | 0.461163i | \(0.847432\pi\) | |||||||
\(942\) | −3.70370 | + | 1.05648i | −0.120673 | + | 0.0344221i | ||||
\(943\) | 0.152559 | − | 1.54895i | 0.00496799 | − | 0.0504408i | ||||
\(944\) | 22.4965 | − | 5.80319i | 0.732198 | − | 0.188878i | ||||
\(945\) | 22.2642 | − | 2.19283i | 0.724254 | − | 0.0713328i | ||||
\(946\) | −40.9603 | − | 17.7711i | −1.33173 | − | 0.577788i | ||||
\(947\) | 35.7519 | + | 4.40958i | 1.16178 | + | 0.143292i | 0.680144 | − | 0.733078i | \(-0.261917\pi\) |
0.481638 | + | 0.876370i | \(0.340042\pi\) | |||||||
\(948\) | 0.192760 | − | 3.32837i | 0.00626057 | − | 0.108100i | ||||
\(949\) | −20.5962 | − | 29.2444i | −0.668581 | − | 0.949312i | ||||
\(950\) | −12.0305 | − | 4.19779i | −0.390320 | − | 0.136194i | ||||
\(951\) | −0.991388 | − | 2.77075i | −0.0321480 | − | 0.0898476i | ||||
\(952\) | 0.978693 | − | 19.5736i | 0.0317196 | − | 0.634385i | ||||
\(953\) | −57.1519 | + | 2.80769i | −1.85133 | + | 0.0909500i | −0.944095 | − | 0.329674i | \(-0.893061\pi\) |
−0.907235 | + | 0.420624i | \(0.861811\pi\) | |||||||
\(954\) | 9.31233 | − | 17.7578i | 0.301498 | − | 0.574930i | ||||
\(955\) | 40.0420 | − | 22.6835i | 1.29573 | − | 0.734021i | ||||
\(956\) | −16.8442 | − | 3.93783i | −0.544779 | − | 0.127359i | ||||
\(957\) | 2.24752 | − | 2.13981i | 0.0726519 | − | 0.0691704i | ||||
\(958\) | −0.617661 | + | 1.25158i | −0.0199557 | + | 0.0404366i | ||||
\(959\) | 31.6072 | − | 76.3065i | 1.02065 | − | 2.46406i | ||||
\(960\) | 2.10259 | − | 6.88805i | 0.0678607 | − | 0.222311i | ||||
\(961\) | −2.58949 | − | 6.25159i | −0.0835320 | − | 0.201664i | ||||
\(962\) | −5.02669 | − | 0.330933i | −0.162067 | − | 0.0106697i | ||||
\(963\) | 16.3627 | + | 0.401681i | 0.527280 | + | 0.0129440i | ||||
\(964\) | −22.2007 | + | 20.7690i | −0.715036 | + | 0.668925i | ||||
\(965\) | 6.27122 | − | 22.6613i | 0.201878 | − | 0.729493i | ||||
\(966\) | 10.5299 | − | 8.78160i | 0.338793 | − | 0.282543i | ||||
\(967\) | −21.4721 | − | 19.4612i | −0.690496 | − | 0.625829i | 0.248954 | − | 0.968515i | \(-0.419913\pi\) |
−0.939450 | + | 0.342686i | \(0.888663\pi\) | |||||||
\(968\) | −0.512598 | + | 0.241894i | −0.0164755 | + | 0.00777477i | ||||
\(969\) | −0.918494 | − | 0.434416i | −0.0295063 | − | 0.0139554i | ||||
\(970\) | 27.5357 | − | 1.57063i | 0.884120 | − | 0.0504300i | ||||
\(971\) | −2.47674 | + | 14.2738i | −0.0794824 | + | 0.458069i | 0.918547 | + | 0.395313i | \(0.129364\pi\) |
−0.998029 | + | 0.0627556i | \(0.980011\pi\) | |||||||
\(972\) | −14.8259 | − | 3.85206i | −0.475540 | − | 0.123555i | ||||
\(973\) | 60.5290 | − | 47.2373i | 1.94047 | − | 1.51436i | ||||
\(974\) | −9.46868 | + | 9.15846i | −0.303396 | + | 0.293456i | ||||
\(975\) | −2.22242 | − | 1.82390i | −0.0711745 | − | 0.0584114i | ||||
\(976\) | −0.176775 | − | 0.325211i | −0.00565842 | − | 0.0104097i | ||||
\(977\) | 4.40681 | + | 5.36972i | 0.140986 | + | 0.171793i | 0.838717 | − | 0.544568i | \(-0.183306\pi\) |
−0.697730 | + | 0.716361i | \(0.745806\pi\) | |||||||
\(978\) | −1.80179 | − | 2.27159i | −0.0576149 | − | 0.0726376i | ||||
\(979\) | −3.81500 | − | 51.7187i | −0.121928 | − | 1.65294i | ||||
\(980\) | −19.4385 | + | 62.1155i | −0.620940 | + | 1.98421i | ||||
\(981\) | 11.4884 | + | 25.9174i | 0.366796 | + | 0.827478i | ||||
\(982\) | −9.61041 | + | 5.86382i | −0.306680 | + | 0.187122i | ||||
\(983\) | −14.2760 | + | 56.9929i | −0.455333 | + | 1.81779i | 0.111259 | + | 0.993791i | \(0.464512\pi\) |
−0.566591 | + | 0.823999i | \(0.691738\pi\) | |||||||
\(984\) | 0.0201854 | + | 0.164841i | 0.000643486 | + | 0.00525495i | ||||
\(985\) | 37.2400 | − | 27.6190i | 1.18656 | − | 0.880016i | ||||
\(986\) | 4.09734 | − | 6.23810i | 0.130486 | − | 0.198661i | ||||
\(987\) | −10.1608 | + | 8.76479i | −0.323423 | + | 0.278986i | ||||
\(988\) | −9.23087 | + | 1.98806i | −0.293673 | + | 0.0632487i | ||||
\(989\) | −40.1925 | − | 63.4708i | −1.27805 | − | 2.01826i | ||||
\(990\) | 30.1450 | + | 28.2504i | 0.958072 | + | 0.897855i | ||||
\(991\) | −1.57048 | − | 2.35039i | −0.0498879 | − | 0.0746625i | 0.805687 | − | 0.592341i | \(-0.201796\pi\) |
−0.855575 | + | 0.517679i | \(0.826796\pi\) | |||||||
\(992\) | −15.3304 | − | 31.2012i | −0.486741 | − | 0.990638i | ||||
\(993\) | 4.71504 | − | 7.05655i | 0.149627 | − | 0.223933i | ||||
\(994\) | −28.9250 | + | 6.73550i | −0.917445 | + | 0.213637i | ||||
\(995\) | 11.2209 | + | 64.6678i | 0.355727 | + | 2.05011i | ||||
\(996\) | 2.30550 | − | 1.95377i | 0.0730524 | − | 0.0619074i | ||||
\(997\) | 5.57303 | − | 11.0717i | 0.176500 | − | 0.350644i | −0.787599 | − | 0.616188i | \(-0.788676\pi\) |
0.964099 | + | 0.265543i | \(0.0855513\pi\) | |||||||
\(998\) | −1.24911 | − | 1.22956i | −0.0395400 | − | 0.0389209i | ||||
\(999\) | −0.668059 | − | 2.66704i | −0.0211365 | − | 0.0843815i |
(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 | 512.2.o.a.157.43 | ✓ | 4032 | |
512.437 | even | 128 | inner | 512.2.o.a.437.43 | yes | 4032 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
512.2.o.a.157.43 | ✓ | 4032 | 1.1 | even | 1 | trivial | |
512.2.o.a.437.43 | yes | 4032 | 512.437 | even | 128 | inner |