Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [98,2,Mod(9,98)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(98, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("98.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 98 = 2 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 98.g (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: | \(0.782533939809\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 39.1 | ||
Character | \(\chi\) | \(=\) | 98.39 |
Dual form | 98.2.g.b.93.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/98\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{17}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.988831 | − | 0.149042i | −0.699209 | − | 0.105389i | ||||
\(3\) | −0.934966 | + | 0.637449i | −0.539803 | + | 0.368031i | −0.802318 | − | 0.596897i | \(-0.796400\pi\) |
0.262516 | + | 0.964928i | \(0.415448\pi\) | |||||||
\(4\) | 0.955573 | + | 0.294755i | 0.477786 | + | 0.147378i | ||||
\(5\) | 0.0772188 | + | 1.03041i | 0.0345333 | + | 0.460815i | 0.987487 | + | 0.157699i | \(0.0504077\pi\) |
−0.952954 | + | 0.303115i | \(0.901973\pi\) | |||||||
\(6\) | 1.01953 | − | 0.490980i | 0.416221 | − | 0.200442i | ||||
\(7\) | 1.36748 | + | 2.26495i | 0.516859 | + | 0.856071i | ||||
\(8\) | −0.900969 | − | 0.433884i | −0.318541 | − | 0.153401i | ||||
\(9\) | −0.628203 | + | 1.60064i | −0.209401 | + | 0.533545i | ||||
\(10\) | 0.0772188 | − | 1.03041i | 0.0244187 | − | 0.325845i | ||||
\(11\) | 1.68646 | + | 4.29704i | 0.508488 | + | 1.29561i | 0.922733 | + | 0.385441i | \(0.125951\pi\) |
−0.414245 | + | 0.910166i | \(0.635954\pi\) | |||||||
\(12\) | −1.08132 | + | 0.333543i | −0.312150 | + | 0.0962855i | ||||
\(13\) | 2.85987 | − | 3.58616i | 0.793185 | − | 0.994622i | −0.206684 | − | 0.978408i | \(-0.566267\pi\) |
0.999869 | − | 0.0162142i | \(-0.00516137\pi\) | |||||||
\(14\) | −1.01463 | − | 2.44347i | −0.271172 | − | 0.653044i | ||||
\(15\) | −0.729032 | − | 0.914177i | −0.188235 | − | 0.236040i | ||||
\(16\) | 0.826239 | + | 0.563320i | 0.206560 | + | 0.140830i | ||||
\(17\) | −4.77961 | − | 4.43483i | −1.15922 | − | 1.07560i | −0.996031 | − | 0.0890094i | \(-0.971630\pi\) |
−0.163194 | − | 0.986594i | \(-0.552180\pi\) | |||||||
\(18\) | 0.859749 | − | 1.48913i | 0.202645 | − | 0.350991i | ||||
\(19\) | −0.366097 | − | 0.634099i | −0.0839885 | − | 0.145472i | 0.820971 | − | 0.570970i | \(-0.193433\pi\) |
−0.904960 | + | 0.425497i | \(0.860099\pi\) | |||||||
\(20\) | −0.229931 | + | 1.00740i | −0.0514142 | + | 0.225260i | ||||
\(21\) | −2.72234 | − | 1.24595i | −0.594062 | − | 0.271889i | ||||
\(22\) | −1.02719 | − | 4.50040i | −0.218997 | − | 0.959488i | ||||
\(23\) | −1.65499 | + | 1.53561i | −0.345090 | + | 0.320196i | −0.833607 | − | 0.552358i | \(-0.813728\pi\) |
0.488518 | + | 0.872554i | \(0.337538\pi\) | |||||||
\(24\) | 1.11895 | − | 0.168655i | 0.228405 | − | 0.0344266i | ||||
\(25\) | 3.88837 | − | 0.586077i | 0.777673 | − | 0.117215i | ||||
\(26\) | −3.36241 | + | 3.11986i | −0.659424 | + | 0.611856i | ||||
\(27\) | −1.18838 | − | 5.20665i | −0.228705 | − | 1.00202i | ||||
\(28\) | 0.639120 | + | 2.56740i | 0.120782 | + | 0.485192i | ||||
\(29\) | 1.30379 | − | 5.71227i | 0.242108 | − | 1.06074i | −0.696987 | − | 0.717084i | \(-0.745477\pi\) |
0.939095 | − | 0.343659i | \(-0.111666\pi\) | |||||||
\(30\) | 0.584638 | + | 1.01262i | 0.106740 | + | 0.184879i | ||||
\(31\) | −1.69503 | + | 2.93589i | −0.304437 | + | 0.527301i | −0.977136 | − | 0.212616i | \(-0.931802\pi\) |
0.672699 | + | 0.739917i | \(0.265135\pi\) | |||||||
\(32\) | −0.733052 | − | 0.680173i | −0.129586 | − | 0.120239i | ||||
\(33\) | −4.31593 | − | 2.94255i | −0.751307 | − | 0.512232i | ||||
\(34\) | 4.06525 | + | 5.09766i | 0.697184 | + | 0.874241i | ||||
\(35\) | −2.22824 | + | 1.58396i | −0.376641 | + | 0.267739i | ||||
\(36\) | −1.07209 | + | 1.34436i | −0.178682 | + | 0.224060i | ||||
\(37\) | 3.26378 | − | 1.00674i | 0.536561 | − | 0.165507i | −0.0146193 | − | 0.999893i | \(-0.504654\pi\) |
0.551181 | + | 0.834386i | \(0.314177\pi\) | |||||||
\(38\) | 0.267501 | + | 0.681581i | 0.0433944 | + | 0.110567i | ||||
\(39\) | −0.387884 | + | 5.17596i | −0.0621112 | + | 0.828816i | ||||
\(40\) | 0.377508 | − | 0.961874i | 0.0596892 | − | 0.152086i | ||||
\(41\) | 6.33962 | + | 3.05300i | 0.990083 | + | 0.476799i | 0.857561 | − | 0.514381i | \(-0.171978\pi\) |
0.132521 | + | 0.991180i | \(0.457693\pi\) | |||||||
\(42\) | 2.50623 | + | 1.63778i | 0.386720 | + | 0.252715i | ||||
\(43\) | 3.51133 | − | 1.69097i | 0.535473 | − | 0.257870i | −0.146547 | − | 0.989204i | \(-0.546816\pi\) |
0.682020 | + | 0.731334i | \(0.261102\pi\) | |||||||
\(44\) | 0.344964 | + | 4.60323i | 0.0520053 | + | 0.693963i | ||||
\(45\) | −1.69783 | − | 0.523710i | −0.253097 | − | 0.0780700i | ||||
\(46\) | 1.86538 | − | 1.27179i | 0.275035 | − | 0.187516i | ||||
\(47\) | 2.70562 | + | 0.407807i | 0.394655 | + | 0.0594847i | 0.343372 | − | 0.939199i | \(-0.388431\pi\) |
0.0512832 | + | 0.998684i | \(0.483669\pi\) | |||||||
\(48\) | −1.13159 | −0.163331 | ||||||||
\(49\) | −3.26000 | + | 6.19455i | −0.465714 | + | 0.884935i | ||||
\(50\) | −3.93229 | −0.556109 | ||||||||
\(51\) | 7.29574 | + | 1.09966i | 1.02161 | + | 0.153983i | ||||
\(52\) | 3.78985 | − | 2.58388i | 0.525558 | − | 0.358319i | ||||
\(53\) | −4.46580 | − | 1.37752i | −0.613424 | − | 0.189216i | −0.0275529 | − | 0.999620i | \(-0.508771\pi\) |
−0.585871 | + | 0.810404i | \(0.699248\pi\) | |||||||
\(54\) | 0.399100 | + | 5.32562i | 0.0543106 | + | 0.724724i | ||||
\(55\) | −4.29750 | + | 2.06957i | −0.579475 | + | 0.279060i | ||||
\(56\) | −0.249331 | − | 2.63398i | −0.0333183 | − | 0.351980i | ||||
\(57\) | 0.746494 | + | 0.359493i | 0.0988756 | + | 0.0476160i | ||||
\(58\) | −2.14060 | + | 5.45415i | −0.281074 | + | 0.716165i | ||||
\(59\) | 0.433778 | − | 5.78836i | 0.0564731 | − | 0.753581i | −0.895043 | − | 0.445981i | \(-0.852855\pi\) |
0.951516 | − | 0.307600i | \(-0.0995259\pi\) | |||||||
\(60\) | −0.427185 | − | 1.08845i | −0.0551493 | − | 0.140518i | ||||
\(61\) | 1.36572 | − | 0.421270i | 0.174863 | − | 0.0539381i | −0.206087 | − | 0.978534i | \(-0.566073\pi\) |
0.380950 | + | 0.924595i | \(0.375597\pi\) | |||||||
\(62\) | 2.11367 | − | 2.65046i | 0.268437 | − | 0.336609i | ||||
\(63\) | −4.48442 | + | 0.765987i | −0.564983 | + | 0.0965053i | ||||
\(64\) | 0.623490 | + | 0.781831i | 0.0779362 | + | 0.0977289i | ||||
\(65\) | 3.91606 | + | 2.66993i | 0.485728 | + | 0.331163i | ||||
\(66\) | 3.82916 | + | 3.55294i | 0.471337 | + | 0.437337i | ||||
\(67\) | 4.84418 | − | 8.39037i | 0.591811 | − | 1.02505i | −0.402177 | − | 0.915562i | \(-0.631746\pi\) |
0.993988 | − | 0.109485i | \(-0.0349202\pi\) | |||||||
\(68\) | −3.26007 | − | 5.64661i | −0.395342 | − | 0.684752i | ||||
\(69\) | 0.568489 | − | 2.49071i | 0.0684380 | − | 0.299847i | ||||
\(70\) | 2.43943 | − | 1.23417i | 0.291568 | − | 0.147512i | ||||
\(71\) | 3.41285 | + | 14.9527i | 0.405031 | + | 1.77456i | 0.606521 | + | 0.795067i | \(0.292564\pi\) |
−0.201490 | + | 0.979491i | \(0.564578\pi\) | |||||||
\(72\) | 1.26048 | − | 1.16956i | 0.148549 | − | 0.137834i | ||||
\(73\) | −6.08937 | + | 0.917826i | −0.712707 | + | 0.107423i | −0.495381 | − | 0.868676i | \(-0.664972\pi\) |
−0.217326 | + | 0.976099i | \(0.569734\pi\) | |||||||
\(74\) | −3.37737 | + | 0.509056i | −0.392611 | + | 0.0591766i | ||||
\(75\) | −3.26189 | + | 3.02660i | −0.376651 | + | 0.349481i | ||||
\(76\) | −0.162929 | − | 0.713837i | −0.0186892 | − | 0.0818827i | ||||
\(77\) | −7.42638 | + | 9.69587i | −0.846314 | + | 1.10495i | ||||
\(78\) | 1.15499 | − | 5.06033i | 0.130777 | − | 0.572970i | ||||
\(79\) | −7.53693 | − | 13.0544i | −0.847971 | − | 1.46873i | −0.883016 | − | 0.469344i | \(-0.844491\pi\) |
0.0350442 | − | 0.999386i | \(-0.488843\pi\) | |||||||
\(80\) | −0.516651 | + | 0.894866i | −0.0577633 | + | 0.100049i | ||||
\(81\) | 0.648625 | + | 0.601836i | 0.0720695 | + | 0.0668707i | ||||
\(82\) | −5.81379 | − | 3.96377i | −0.642025 | − | 0.437726i | ||||
\(83\) | −3.09838 | − | 3.88525i | −0.340092 | − | 0.426462i | 0.582146 | − | 0.813084i | \(-0.302213\pi\) |
−0.922238 | + | 0.386622i | \(0.873642\pi\) | |||||||
\(84\) | −2.23414 | − | 1.99302i | −0.243765 | − | 0.217456i | ||||
\(85\) | 4.20063 | − | 5.26742i | 0.455622 | − | 0.571332i | ||||
\(86\) | −3.72414 | + | 1.14874i | −0.401584 | + | 0.123872i | ||||
\(87\) | 2.42228 | + | 6.17188i | 0.259696 | + | 0.661695i | ||||
\(88\) | 0.344964 | − | 4.60323i | 0.0367733 | − | 0.490706i | ||||
\(89\) | 6.46588 | − | 16.4748i | 0.685381 | − | 1.74632i | 0.0200229 | − | 0.999800i | \(-0.493626\pi\) |
0.665359 | − | 0.746524i | \(-0.268279\pi\) | |||||||
\(90\) | 1.60081 | + | 0.770908i | 0.168740 | + | 0.0812608i | ||||
\(91\) | 12.0333 | + | 1.57346i | 1.26143 | + | 0.164943i | ||||
\(92\) | −2.03409 | + | 0.979568i | −0.212069 | + | 0.102127i | ||||
\(93\) | −0.286678 | − | 3.82545i | −0.0297271 | − | 0.396681i | ||||
\(94\) | −2.61462 | − | 0.806504i | −0.269678 | − | 0.0831845i | ||||
\(95\) | 0.625114 | − | 0.426196i | 0.0641354 | − | 0.0437268i | ||||
\(96\) | 1.11895 | + | 0.168655i | 0.114203 | + | 0.0172133i | ||||
\(97\) | −16.8307 | −1.70890 | −0.854451 | − | 0.519532i | \(-0.826106\pi\) | ||||
−0.854451 | + | 0.519532i | \(0.826106\pi\) | |||||||
\(98\) | 4.14684 | − | 5.63948i | 0.418894 | − | 0.569673i | ||||
\(99\) | −7.93744 | −0.797743 | ||||||||
\(100\) | 3.88837 | + | 0.586077i | 0.388837 | + | 0.0586077i | ||||
\(101\) | 7.94630 | − | 5.41770i | 0.790686 | − | 0.539081i | −0.0993056 | − | 0.995057i | \(-0.531662\pi\) |
0.889992 | + | 0.455976i | \(0.150710\pi\) | |||||||
\(102\) | −7.05036 | − | 2.17475i | −0.698090 | − | 0.215332i | ||||
\(103\) | 0.638239 | + | 8.51671i | 0.0628876 | + | 0.839177i | 0.936077 | + | 0.351795i | \(0.114429\pi\) |
−0.873189 | + | 0.487381i | \(0.837952\pi\) | |||||||
\(104\) | −4.13263 | + | 1.99017i | −0.405238 | + | 0.195152i | ||||
\(105\) | 1.07363 | − | 2.90134i | 0.104776 | − | 0.283142i | ||||
\(106\) | 4.21061 | + | 2.02772i | 0.408971 | + | 0.196950i | ||||
\(107\) | 2.70322 | − | 6.88769i | 0.261330 | − | 0.665858i | −0.738636 | − | 0.674105i | \(-0.764530\pi\) |
0.999966 | + | 0.00824627i | \(0.00262490\pi\) | |||||||
\(108\) | 0.399100 | − | 5.32562i | 0.0384034 | − | 0.512458i | ||||
\(109\) | 6.42308 | + | 16.3657i | 0.615219 | + | 1.56755i | 0.809825 | + | 0.586671i | \(0.199562\pi\) |
−0.194606 | + | 0.980881i | \(0.562343\pi\) | |||||||
\(110\) | 4.55795 | − | 1.40594i | 0.434584 | − | 0.134051i | ||||
\(111\) | −2.40977 | + | 3.02176i | −0.228725 | + | 0.286813i | ||||
\(112\) | −0.146028 | + | 2.64172i | −0.0137983 | + | 0.249619i | ||||
\(113\) | 4.50521 | + | 5.64936i | 0.423815 | + | 0.531447i | 0.947197 | − | 0.320651i | \(-0.103902\pi\) |
−0.523383 | + | 0.852098i | \(0.675330\pi\) | |||||||
\(114\) | −0.684577 | − | 0.466737i | −0.0641165 | − | 0.0437139i | ||||
\(115\) | −1.71011 | − | 1.58675i | −0.159468 | − | 0.147965i | ||||
\(116\) | 2.92959 | − | 5.07419i | 0.272005 | − | 0.471127i | ||||
\(117\) | 3.94356 | + | 6.83045i | 0.364582 | + | 0.631475i | ||||
\(118\) | −1.29164 | + | 5.65906i | −0.118905 | + | 0.520959i | ||||
\(119\) | 3.50865 | − | 16.8901i | 0.321637 | − | 1.54831i | ||||
\(120\) | 0.260189 | + | 1.13996i | 0.0237519 | + | 0.104064i | ||||
\(121\) | −7.55682 | + | 7.01170i | −0.686984 | + | 0.637428i | ||||
\(122\) | −1.41326 | + | 0.213014i | −0.127950 | + | 0.0192854i | ||||
\(123\) | −7.87346 | + | 1.18673i | −0.709926 | + | 0.107004i | ||||
\(124\) | −2.48510 | + | 2.30583i | −0.223168 | + | 0.207070i | ||||
\(125\) | 2.05381 | + | 8.99834i | 0.183699 | + | 0.804836i | ||||
\(126\) | 4.54849 | − | 0.0890640i | 0.405212 | − | 0.00793445i | ||||
\(127\) | −2.49193 | + | 10.9178i | −0.221123 | + | 0.968803i | 0.735512 | + | 0.677512i | \(0.236942\pi\) |
−0.956635 | + | 0.291291i | \(0.905915\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | −2.20507 | + | 3.81929i | −0.194145 | + | 0.336270i | ||||
\(130\) | −3.47439 | − | 3.22376i | −0.304724 | − | 0.282743i | ||||
\(131\) | 8.33818 | + | 5.68488i | 0.728510 | + | 0.496690i | 0.869878 | − | 0.493267i | \(-0.164198\pi\) |
−0.141367 | + | 0.989957i | \(0.545150\pi\) | |||||||
\(132\) | −3.25685 | − | 4.08396i | −0.283473 | − | 0.355463i | ||||
\(133\) | 0.935573 | − | 1.69631i | 0.0811245 | − | 0.147089i | ||||
\(134\) | −6.04060 | + | 7.57467i | −0.521828 | + | 0.654352i | ||||
\(135\) | 5.27323 | − | 1.62658i | 0.453848 | − | 0.139993i | ||||
\(136\) | 2.38208 | + | 6.06943i | 0.204261 | + | 0.520450i | ||||
\(137\) | −0.138542 | + | 1.84872i | −0.0118365 | + | 0.157947i | 0.988154 | + | 0.153469i | \(0.0490444\pi\) |
−0.999990 | + | 0.00447796i | \(0.998575\pi\) | |||||||
\(138\) | −0.933361 | + | 2.37817i | −0.0794530 | + | 0.202443i | ||||
\(139\) | −4.54586 | − | 2.18917i | −0.385575 | − | 0.185683i | 0.231047 | − | 0.972943i | \(-0.425785\pi\) |
−0.616622 | + | 0.787259i | \(0.711499\pi\) | |||||||
\(140\) | −2.59613 | + | 0.856809i | −0.219413 | + | 0.0724136i | ||||
\(141\) | −2.78962 | + | 1.34341i | −0.234928 | + | 0.113135i | ||||
\(142\) | −1.14615 | − | 15.2943i | −0.0961830 | − | 1.28347i | ||||
\(143\) | 20.2329 | + | 6.24103i | 1.69196 | + | 0.521902i | ||||
\(144\) | −1.42072 | + | 0.968628i | −0.118393 | + | 0.0807190i | ||||
\(145\) | 5.98668 | + | 0.902346i | 0.497166 | + | 0.0749358i | ||||
\(146\) | 6.15816 | 0.509653 | ||||||||
\(147\) | −0.900716 | − | 7.86977i | −0.0742898 | − | 0.649088i | ||||
\(148\) | 3.41552 | 0.280754 | ||||||||
\(149\) | −4.62471 | − | 0.697063i | −0.378871 | − | 0.0571056i | −0.0431538 | − | 0.999068i | \(-0.513741\pi\) |
−0.335717 | + | 0.941963i | \(0.608979\pi\) | |||||||
\(150\) | 3.67655 | − | 2.50663i | 0.300189 | − | 0.204666i | ||||
\(151\) | −19.2281 | − | 5.93107i | −1.56476 | − | 0.482664i | −0.613147 | − | 0.789969i | \(-0.710096\pi\) |
−0.951611 | + | 0.307305i | \(0.900573\pi\) | |||||||
\(152\) | 0.0547170 | + | 0.730147i | 0.00443813 | + | 0.0592228i | ||||
\(153\) | 10.1011 | − | 4.86444i | 0.816626 | − | 0.393266i | ||||
\(154\) | 8.78853 | − | 8.48073i | 0.708200 | − | 0.683397i | ||||
\(155\) | −3.15606 | − | 1.51988i | −0.253501 | − | 0.122080i | ||||
\(156\) | −1.89629 | + | 4.83167i | −0.151825 | + | 0.386843i | ||||
\(157\) | −0.417045 | + | 5.56507i | −0.0332838 | + | 0.444141i | 0.955521 | + | 0.294924i | \(0.0952944\pi\) |
−0.988804 | + | 0.149217i | \(0.952325\pi\) | |||||||
\(158\) | 5.50710 | + | 14.0319i | 0.438122 | + | 1.11632i | ||||
\(159\) | 5.05346 | − | 1.55879i | 0.400766 | − | 0.123620i | ||||
\(160\) | 0.644253 | − | 0.807868i | 0.0509327 | − | 0.0638676i | ||||
\(161\) | −5.74124 | − | 1.64856i | −0.452473 | − | 0.129925i | ||||
\(162\) | −0.551682 | − | 0.691787i | −0.0433442 | − | 0.0543519i | ||||
\(163\) | −14.1335 | − | 9.63603i | −1.10702 | − | 0.754752i | −0.135279 | − | 0.990808i | \(-0.543193\pi\) |
−0.971740 | + | 0.236055i | \(0.924145\pi\) | |||||||
\(164\) | 5.15808 | + | 4.78600i | 0.402779 | + | 0.373724i | ||||
\(165\) | 2.69877 | − | 4.67441i | 0.210099 | − | 0.363902i | ||||
\(166\) | 2.48471 | + | 4.30365i | 0.192851 | + | 0.334028i | ||||
\(167\) | −1.84525 | + | 8.08458i | −0.142790 | + | 0.625604i | 0.851990 | + | 0.523559i | \(0.175396\pi\) |
−0.994780 | + | 0.102045i | \(0.967461\pi\) | |||||||
\(168\) | 1.91214 | + | 2.30374i | 0.147525 | + | 0.177738i | ||||
\(169\) | −1.78893 | − | 7.83783i | −0.137610 | − | 0.602910i | ||||
\(170\) | −4.93878 | + | 4.58252i | −0.378787 | + | 0.351463i | ||||
\(171\) | 1.24495 | − | 0.187645i | 0.0952034 | − | 0.0143496i | ||||
\(172\) | 3.85375 | − | 0.580860i | 0.293846 | − | 0.0442901i | ||||
\(173\) | −9.84632 | + | 9.13605i | −0.748602 | + | 0.694601i | −0.959123 | − | 0.282988i | \(-0.908674\pi\) |
0.210522 | + | 0.977589i | \(0.432484\pi\) | |||||||
\(174\) | −1.47536 | − | 6.46396i | −0.111847 | − | 0.490032i | ||||
\(175\) | 6.64470 | + | 8.00551i | 0.502292 | + | 0.605160i | ||||
\(176\) | −1.02719 | + | 4.50040i | −0.0774271 | + | 0.339230i | ||||
\(177\) | 3.28422 | + | 5.68843i | 0.246857 | + | 0.427569i | ||||
\(178\) | −8.84910 | + | 15.3271i | −0.663268 | + | 1.14881i | ||||
\(179\) | −8.43368 | − | 7.82531i | −0.630363 | − | 0.584891i | 0.298912 | − | 0.954281i | \(-0.403376\pi\) |
−0.929275 | + | 0.369389i | \(0.879567\pi\) | |||||||
\(180\) | −1.46803 | − | 1.00089i | −0.109420 | − | 0.0746016i | ||||
\(181\) | 4.07010 | + | 5.10374i | 0.302528 | + | 0.379358i | 0.909738 | − | 0.415184i | \(-0.136283\pi\) |
−0.607210 | + | 0.794542i | \(0.707711\pi\) | |||||||
\(182\) | −11.6644 | − | 3.34935i | −0.864621 | − | 0.248271i | ||||
\(183\) | −1.00837 | + | 1.26445i | −0.0745407 | + | 0.0934710i | ||||
\(184\) | 2.15737 | − | 0.665461i | 0.159044 | − | 0.0490584i | ||||
\(185\) | 1.28938 | + | 3.28530i | 0.0947974 | + | 0.241540i | ||||
\(186\) | −0.286678 | + | 3.82545i | −0.0210202 | + | 0.280496i | ||||
\(187\) | 10.9960 | − | 28.0173i | 0.804107 | − | 2.04883i | ||||
\(188\) | 2.46521 | + | 1.18718i | 0.179794 | + | 0.0865843i | ||||
\(189\) | 10.1677 | − | 9.81162i | 0.739592 | − | 0.713690i | ||||
\(190\) | −0.681654 | + | 0.328267i | −0.0494524 | + | 0.0238150i | ||||
\(191\) | −0.462309 | − | 6.16908i | −0.0334515 | − | 0.446379i | −0.988632 | − | 0.150355i | \(-0.951958\pi\) |
0.955181 | − | 0.296024i | \(-0.0956608\pi\) | |||||||
\(192\) | −1.08132 | − | 0.333543i | −0.0780375 | − | 0.0240714i | ||||
\(193\) | 13.7296 | − | 9.36066i | 0.988276 | − | 0.673795i | 0.0426630 | − | 0.999090i | \(-0.486416\pi\) |
0.945613 | + | 0.325295i | \(0.105463\pi\) | |||||||
\(194\) | 16.6428 | + | 2.50849i | 1.19488 | + | 0.180099i | ||||
\(195\) | −5.36332 | −0.384076 | ||||||||
\(196\) | −4.94104 | + | 4.95844i | −0.352932 | + | 0.354174i | ||||
\(197\) | 7.74907 | 0.552098 | 0.276049 | − | 0.961144i | \(-0.410975\pi\) | ||||
0.276049 | + | 0.961144i | \(0.410975\pi\) | |||||||
\(198\) | 7.84878 | + | 1.18301i | 0.557789 | + | 0.0840731i | ||||
\(199\) | −17.7783 | + | 12.1210i | −1.26027 | + | 0.859237i | −0.994494 | − | 0.104798i | \(-0.966580\pi\) |
−0.265776 | + | 0.964035i | \(0.585628\pi\) | |||||||
\(200\) | −3.75759 | − | 1.15906i | −0.265701 | − | 0.0819580i | ||||
\(201\) | 0.819287 | + | 10.9326i | 0.0577881 | + | 0.771128i | ||||
\(202\) | −8.66501 | + | 4.17285i | −0.609668 | + | 0.293601i | ||||
\(203\) | 14.7209 | − | 4.85840i | 1.03321 | − | 0.340993i | ||||
\(204\) | 6.64748 | + | 3.20126i | 0.465417 | + | 0.224133i | ||||
\(205\) | −2.65631 | + | 6.76818i | −0.185525 | + | 0.472710i | ||||
\(206\) | 0.638239 | − | 8.51671i | 0.0444682 | − | 0.593388i | ||||
\(207\) | −1.41828 | − | 3.61371i | −0.0985772 | − | 0.251171i | ||||
\(208\) | 4.38309 | − | 1.35200i | 0.303913 | − | 0.0937446i | ||||
\(209\) | 2.10734 | − | 2.64252i | 0.145768 | − | 0.182787i | ||||
\(210\) | −1.49406 | + | 2.70892i | −0.103100 | + | 0.186933i | ||||
\(211\) | −12.0767 | − | 15.1436i | −0.831391 | − | 1.04253i | −0.998398 | − | 0.0565758i | \(-0.981982\pi\) |
0.167007 | − | 0.985956i | \(-0.446590\pi\) | |||||||
\(212\) | −3.86136 | − | 2.63263i | −0.265200 | − | 0.180810i | ||||
\(213\) | −12.7225 | − | 11.8047i | −0.871729 | − | 0.808847i | ||||
\(214\) | −3.69958 | + | 6.40787i | −0.252898 | + | 0.438033i | ||||
\(215\) | 2.01353 | + | 3.48754i | 0.137322 | + | 0.237849i | ||||
\(216\) | −1.18838 | + | 5.20665i | −0.0808593 | + | 0.354268i | ||||
\(217\) | −8.96756 | + | 0.175594i | −0.608758 | + | 0.0119201i | ||||
\(218\) | −3.91215 | − | 17.1402i | −0.264964 | − | 1.16088i | ||||
\(219\) | 5.10829 | − | 4.73980i | 0.345186 | − | 0.320286i | ||||
\(220\) | −4.71659 | + | 0.710911i | −0.317992 | + | 0.0479296i | ||||
\(221\) | −29.5730 | + | 4.45742i | −1.98930 | + | 0.299838i | ||||
\(222\) | 2.83323 | − | 2.62885i | 0.190154 | − | 0.176437i | ||||
\(223\) | −1.10486 | − | 4.84070i | −0.0739868 | − | 0.324157i | 0.924368 | − | 0.381503i | \(-0.124593\pi\) |
−0.998354 | + | 0.0573457i | \(0.981736\pi\) | |||||||
\(224\) | 0.538124 | − | 2.59045i | 0.0359549 | − | 0.173082i | ||||
\(225\) | −1.50459 | + | 6.59203i | −0.100306 | + | 0.439469i | ||||
\(226\) | −3.61290 | − | 6.25773i | −0.240327 | − | 0.416258i | ||||
\(227\) | 6.38505 | − | 11.0592i | 0.423790 | − | 0.734026i | −0.572516 | − | 0.819893i | \(-0.694033\pi\) |
0.996307 | + | 0.0858670i | \(0.0273660\pi\) | |||||||
\(228\) | 0.607367 | + | 0.563554i | 0.0402239 | + | 0.0373223i | ||||
\(229\) | −20.7480 | − | 14.1457i | −1.37106 | − | 0.934775i | −0.999981 | − | 0.00617554i | \(-0.998034\pi\) |
−0.371083 | − | 0.928600i | \(-0.621013\pi\) | |||||||
\(230\) | 1.45451 | + | 1.82390i | 0.0959078 | + | 0.120265i | ||||
\(231\) | 0.762788 | − | 13.7992i | 0.0501878 | − | 0.907923i | ||||
\(232\) | −3.65314 | + | 4.58089i | −0.239840 | + | 0.300750i | ||||
\(233\) | −0.579607 | + | 0.178785i | −0.0379713 | + | 0.0117126i | −0.313683 | − | 0.949528i | \(-0.601563\pi\) |
0.275711 | + | 0.961240i | \(0.411087\pi\) | |||||||
\(234\) | −2.88149 | − | 7.34191i | −0.188369 | − | 0.479956i | ||||
\(235\) | −0.211285 | + | 2.81940i | −0.0137827 | + | 0.183917i | ||||
\(236\) | 2.12066 | − | 5.40335i | 0.138043 | − | 0.351728i | ||||
\(237\) | 15.3683 | + | 7.40096i | 0.998275 | + | 0.480744i | ||||
\(238\) | −5.98680 | + | 16.1785i | −0.388067 | + | 1.04870i | ||||
\(239\) | −0.219746 | + | 0.105824i | −0.0142142 | + | 0.00684520i | −0.440977 | − | 0.897518i | \(-0.645368\pi\) |
0.426763 | + | 0.904363i | \(0.359654\pi\) | |||||||
\(240\) | −0.0873802 | − | 1.16601i | −0.00564037 | − | 0.0752655i | ||||
\(241\) | 25.5110 | + | 7.86909i | 1.64331 | + | 0.506893i | 0.972137 | − | 0.234412i | \(-0.0753165\pi\) |
0.671168 | + | 0.741305i | \(0.265793\pi\) | |||||||
\(242\) | 8.51746 | − | 5.80710i | 0.547523 | − | 0.373295i | ||||
\(243\) | 14.8526 | + | 2.23867i | 0.952796 | + | 0.143611i | ||||
\(244\) | 1.42922 | 0.0914965 | ||||||||
\(245\) | −6.63467 | − | 2.88081i | −0.423874 | − | 0.184048i | ||||
\(246\) | 7.96239 | 0.507664 | ||||||||
\(247\) | −3.32097 | − | 0.500556i | −0.211308 | − | 0.0318496i | ||||
\(248\) | 2.80101 | − | 1.90969i | 0.177864 | − | 0.121266i | ||||
\(249\) | 5.37353 | + | 1.65751i | 0.340534 | + | 0.105041i | ||||
\(250\) | −0.689740 | − | 9.20394i | −0.0436230 | − | 0.582108i | ||||
\(251\) | 2.57608 | − | 1.24058i | 0.162601 | − | 0.0783045i | −0.350813 | − | 0.936445i | \(-0.614095\pi\) |
0.513414 | + | 0.858141i | \(0.328380\pi\) | |||||||
\(252\) | −4.51097 | − | 0.589849i | −0.284164 | − | 0.0371570i | ||||
\(253\) | −9.38965 | − | 4.52182i | −0.590323 | − | 0.284284i | ||||
\(254\) | 4.09132 | − | 10.4245i | 0.256712 | − | 0.654092i | ||||
\(255\) | −0.569732 | + | 7.60254i | −0.0356780 | + | 0.476090i | ||||
\(256\) | 0.365341 | + | 0.930874i | 0.0228338 | + | 0.0581796i | ||||
\(257\) | −23.4780 | + | 7.24201i | −1.46452 | + | 0.451744i | −0.921633 | − | 0.388063i | \(-0.873144\pi\) |
−0.542886 | + | 0.839807i | \(0.682668\pi\) | |||||||
\(258\) | 2.74967 | − | 3.44798i | 0.171187 | − | 0.214662i | ||||
\(259\) | 6.74337 | + | 6.01559i | 0.419012 | + | 0.373791i | ||||
\(260\) | 2.95511 | + | 3.70559i | 0.183268 | + | 0.229811i | ||||
\(261\) | 8.32423 | + | 5.67536i | 0.515257 | + | 0.351296i | ||||
\(262\) | −7.39777 | − | 6.86412i | −0.457036 | − | 0.424067i | ||||
\(263\) | 5.04046 | − | 8.73033i | 0.310808 | − | 0.538335i | −0.667729 | − | 0.744404i | \(-0.732734\pi\) |
0.978538 | + | 0.206069i | \(0.0660670\pi\) | |||||||
\(264\) | 2.61179 | + | 4.52376i | 0.160745 | + | 0.278418i | ||||
\(265\) | 1.07457 | − | 4.70798i | 0.0660101 | − | 0.289209i | ||||
\(266\) | −1.17795 | + | 1.53792i | −0.0722245 | + | 0.0942962i | ||||
\(267\) | 4.45646 | + | 19.5250i | 0.272731 | + | 1.19491i | ||||
\(268\) | 7.10207 | − | 6.58976i | 0.433828 | − | 0.402534i | ||||
\(269\) | −22.6846 | + | 3.41915i | −1.38310 | + | 0.208469i | −0.798082 | − | 0.602549i | \(-0.794152\pi\) |
−0.585021 | + | 0.811018i | \(0.698914\pi\) | |||||||
\(270\) | −5.45676 | + | 0.822475i | −0.332088 | + | 0.0500542i | ||||
\(271\) | −4.97344 | + | 4.61468i | −0.302115 | + | 0.280322i | −0.816632 | − | 0.577158i | \(-0.804162\pi\) |
0.514517 | + | 0.857480i | \(0.327971\pi\) | |||||||
\(272\) | −1.45087 | − | 6.35667i | −0.0879719 | − | 0.385430i | ||||
\(273\) | −12.2537 | + | 6.19947i | −0.741628 | + | 0.375209i | ||||
\(274\) | 0.412532 | − | 1.80742i | 0.0249220 | − | 0.109190i | ||||
\(275\) | 9.07598 | + | 15.7201i | 0.547302 | + | 0.947956i | ||||
\(276\) | 1.27738 | − | 2.21249i | 0.0768894 | − | 0.133176i | ||||
\(277\) | 15.4688 | + | 14.3530i | 0.929432 | + | 0.862387i | 0.990746 | − | 0.135731i | \(-0.0433384\pi\) |
−0.0613133 | + | 0.998119i | \(0.519529\pi\) | |||||||
\(278\) | 4.16881 | + | 2.84225i | 0.250029 | + | 0.170467i | ||||
\(279\) | −3.63446 | − | 4.55747i | −0.217589 | − | 0.272848i | ||||
\(280\) | 2.69483 | − | 0.460306i | 0.161047 | − | 0.0275086i | ||||
\(281\) | 8.49063 | − | 10.6469i | 0.506508 | − | 0.635142i | −0.461175 | − | 0.887309i | \(-0.652572\pi\) |
0.967684 | + | 0.252168i | \(0.0811434\pi\) | |||||||
\(282\) | 2.95869 | − | 0.912634i | 0.176187 | − | 0.0543465i | ||||
\(283\) | 7.84738 | + | 19.9948i | 0.466478 | + | 1.18857i | 0.949726 | + | 0.313084i | \(0.101362\pi\) |
−0.483247 | + | 0.875484i | \(0.660543\pi\) | |||||||
\(284\) | −1.14615 | + | 15.2943i | −0.0680116 | + | 0.907552i | ||||
\(285\) | −0.312783 | + | 0.796957i | −0.0185276 | + | 0.0472076i | ||||
\(286\) | −19.0768 | − | 9.18689i | −1.12803 | − | 0.543232i | ||||
\(287\) | 1.75441 | + | 18.5338i | 0.103559 | + | 1.09402i | ||||
\(288\) | 1.54921 | − | 0.746062i | 0.0912884 | − | 0.0439622i | ||||
\(289\) | 1.90654 | + | 25.4410i | 0.112149 | + | 1.49653i | ||||
\(290\) | −5.78532 | − | 1.78454i | −0.339726 | − | 0.104792i | ||||
\(291\) | 15.7362 | − | 10.7287i | 0.922470 | − | 0.628929i | ||||
\(292\) | −6.08937 | − | 0.917826i | −0.356354 | − | 0.0537117i | ||||
\(293\) | 12.0113 | 0.701710 | 0.350855 | − | 0.936430i | \(-0.385891\pi\) | ||||
0.350855 | + | 0.936430i | \(0.385891\pi\) | |||||||
\(294\) | −0.282273 | + | 7.91612i | −0.0164625 | + | 0.461677i | ||||
\(295\) | 5.99790 | 0.349211 | ||||||||
\(296\) | −3.37737 | − | 0.509056i | −0.196306 | − | 0.0295883i | ||||
\(297\) | 20.3690 | − | 13.8874i | 1.18193 | − | 0.805826i | ||||
\(298\) | 4.46916 | + | 1.37855i | 0.258892 | + | 0.0798575i | ||||
\(299\) | 0.773879 | + | 10.3267i | 0.0447546 | + | 0.597209i | ||||
\(300\) | −4.00908 | + | 1.93067i | −0.231464 | + | 0.111467i | ||||
\(301\) | 8.63162 | + | 5.64062i | 0.497519 | + | 0.325120i | ||||
\(302\) | 18.1293 | + | 8.73062i | 1.04323 | + | 0.502391i | ||||
\(303\) | −3.97601 | + | 10.1307i | −0.228416 | + | 0.581995i | ||||
\(304\) | 0.0547170 | − | 0.730147i | 0.00313823 | − | 0.0418768i | ||||
\(305\) | 0.539542 | + | 1.37473i | 0.0308941 | + | 0.0787168i | ||||
\(306\) | −10.7133 | + | 3.30461i | −0.612438 | + | 0.188912i | ||||
\(307\) | −16.9253 | + | 21.2236i | −0.965975 | + | 1.21129i | 0.0114328 | + | 0.999935i | \(0.496361\pi\) |
−0.977408 | + | 0.211360i | \(0.932211\pi\) | |||||||
\(308\) | −9.95435 | + | 7.07615i | −0.567202 | + | 0.403201i | ||||
\(309\) | −6.02570 | − | 7.55599i | −0.342790 | − | 0.429845i | ||||
\(310\) | 2.89429 | + | 1.97329i | 0.164384 | + | 0.112075i | ||||
\(311\) | −7.88704 | − | 7.31811i | −0.447233 | − | 0.414972i | 0.424137 | − | 0.905598i | \(-0.360578\pi\) |
−0.871370 | + | 0.490626i | \(0.836768\pi\) | |||||||
\(312\) | 2.59523 | − | 4.49508i | 0.146926 | − | 0.254484i | ||||
\(313\) | −2.30193 | − | 3.98706i | −0.130113 | − | 0.225362i | 0.793607 | − | 0.608431i | \(-0.208201\pi\) |
−0.923720 | + | 0.383069i | \(0.874867\pi\) | |||||||
\(314\) | 1.24182 | − | 5.44076i | 0.0700798 | − | 0.307040i | ||||
\(315\) | −1.13556 | − | 4.56165i | −0.0639818 | − | 0.257020i | ||||
\(316\) | −3.35425 | − | 14.6959i | −0.188691 | − | 0.826711i | ||||
\(317\) | 1.42092 | − | 1.31842i | 0.0798070 | − | 0.0740501i | −0.639261 | − | 0.768990i | \(-0.720760\pi\) |
0.719068 | + | 0.694940i | \(0.244569\pi\) | |||||||
\(318\) | −5.22934 | + | 0.788197i | −0.293247 | + | 0.0441999i | ||||
\(319\) | 26.7447 | − | 4.03111i | 1.49741 | − | 0.225699i | ||||
\(320\) | −0.757464 | + | 0.702824i | −0.0423435 | + | 0.0392891i | ||||
\(321\) | 1.86313 | + | 8.16292i | 0.103990 | + | 0.455610i | ||||
\(322\) | 5.43141 | + | 2.48584i | 0.302681 | + | 0.138530i | ||||
\(323\) | −1.06232 | + | 4.65432i | −0.0591090 | + | 0.258973i | ||||
\(324\) | 0.442414 | + | 0.766284i | 0.0245786 | + | 0.0425713i | ||||
\(325\) | 9.01845 | − | 15.6204i | 0.500253 | − | 0.866464i | ||||
\(326\) | 12.5394 | + | 11.6349i | 0.694495 | + | 0.644397i | ||||
\(327\) | −16.4377 | − | 11.2070i | −0.909005 | − | 0.619749i | ||||
\(328\) | −4.38715 | − | 5.50132i | −0.242240 | − | 0.303759i | ||||
\(329\) | 2.77622 | + | 6.68576i | 0.153058 | + | 0.368598i | ||||
\(330\) | −3.36531 | + | 4.21997i | −0.185254 | + | 0.232302i | ||||
\(331\) | −8.17936 | + | 2.52300i | −0.449578 | + | 0.138676i | −0.511273 | − | 0.859419i | \(-0.670826\pi\) |
0.0616945 | + | 0.998095i | \(0.480350\pi\) | |||||||
\(332\) | −1.81553 | − | 4.62590i | −0.0996404 | − | 0.253880i | ||||
\(333\) | −0.438888 | + | 5.85656i | −0.0240509 | + | 0.320937i | ||||
\(334\) | 3.02959 | − | 7.71927i | 0.165772 | − | 0.422379i | ||||
\(335\) | 9.01961 | + | 4.34361i | 0.492794 | + | 0.237317i | ||||
\(336\) | −1.54743 | − | 2.56300i | −0.0844192 | − | 0.139823i | ||||
\(337\) | 13.6463 | − | 6.57170i | 0.743360 | − | 0.357983i | −0.0235629 | − | 0.999722i | \(-0.507501\pi\) |
0.766923 | + | 0.641739i | \(0.221787\pi\) | |||||||
\(338\) | 0.600784 | + | 8.01691i | 0.0326784 | + | 0.436062i | ||||
\(339\) | −7.81340 | − | 2.41011i | −0.424365 | − | 0.130899i | ||||
\(340\) | 5.56660 | − | 3.79525i | 0.301891 | − | 0.205826i | ||||
\(341\) | −15.4742 | − | 2.33237i | −0.837977 | − | 0.126305i | ||||
\(342\) | −1.25901 | −0.0680794 | ||||||||
\(343\) | −18.4883 | + | 1.08717i | −0.998276 | + | 0.0587017i | ||||
\(344\) | −3.89728 | −0.210127 | ||||||||
\(345\) | 2.61036 | + | 0.393449i | 0.140537 | + | 0.0211826i | ||||
\(346\) | 11.0980 | − | 7.56649i | 0.596632 | − | 0.406777i | ||||
\(347\) | −27.7231 | − | 8.55145i | −1.48825 | − | 0.459066i | −0.559207 | − | 0.829028i | \(-0.688894\pi\) |
−0.929047 | + | 0.369962i | \(0.879371\pi\) | |||||||
\(348\) | 0.495475 | + | 6.61166i | 0.0265603 | + | 0.354422i | ||||
\(349\) | 21.1722 | − | 10.1960i | 1.13332 | − | 0.545779i | 0.229339 | − | 0.973347i | \(-0.426344\pi\) |
0.903983 | + | 0.427567i | \(0.140629\pi\) | |||||||
\(350\) | −5.37732 | − | 8.90643i | −0.287430 | − | 0.476069i | ||||
\(351\) | −22.0705 | − | 10.6286i | −1.17804 | − | 0.567312i | ||||
\(352\) | 1.68646 | − | 4.29704i | 0.0898888 | − | 0.229033i | ||||
\(353\) | 2.21704 | − | 29.5844i | 0.118001 | − | 1.57462i | −0.553013 | − | 0.833173i | \(-0.686522\pi\) |
0.671014 | − | 0.741445i | \(-0.265859\pi\) | |||||||
\(354\) | −2.39972 | − | 6.11438i | −0.127544 | − | 0.324976i | ||||
\(355\) | −15.1439 | + | 4.67128i | −0.803755 | + | 0.247926i | ||||
\(356\) | 11.0346 | − | 13.8370i | 0.584835 | − | 0.733360i | ||||
\(357\) | 7.48611 | + | 18.0282i | 0.396207 | + | 0.954156i | ||||
\(358\) | 7.17318 | + | 8.99488i | 0.379114 | + | 0.475394i | ||||
\(359\) | 13.4898 | + | 9.19717i | 0.711963 | + | 0.485408i | 0.864336 | − | 0.502915i | \(-0.167739\pi\) |
−0.152373 | + | 0.988323i | \(0.548692\pi\) | |||||||
\(360\) | 1.30246 | + | 1.20850i | 0.0686456 | + | 0.0636938i | ||||
\(361\) | 9.23195 | − | 15.9902i | 0.485892 | − | 0.841589i | ||||
\(362\) | −3.26396 | − | 5.65335i | −0.171550 | − | 0.297134i | ||||
\(363\) | 2.59576 | − | 11.3728i | 0.136242 | − | 0.596916i | ||||
\(364\) | 11.0349 | + | 5.05043i | 0.578386 | + | 0.264714i | ||||
\(365\) | −1.41595 | − | 6.20370i | −0.0741144 | − | 0.324716i | ||||
\(366\) | 1.18556 | − | 1.10004i | 0.0619703 | − | 0.0575000i | ||||
\(367\) | 2.60485 | − | 0.392619i | 0.135972 | − | 0.0204945i | −0.0807034 | − | 0.996738i | \(-0.525717\pi\) |
0.216676 | + | 0.976244i | \(0.430479\pi\) | |||||||
\(368\) | −2.23246 | + | 0.336489i | −0.116375 | + | 0.0175407i | ||||
\(369\) | −8.86932 | + | 8.22952i | −0.461718 | + | 0.428412i | ||||
\(370\) | −0.785335 | − | 3.44078i | −0.0408276 | − | 0.178877i | ||||
\(371\) | −2.98688 | − | 11.9985i | −0.155071 | − | 0.622933i | ||||
\(372\) | 0.853629 | − | 3.74000i | 0.0442586 | − | 0.193910i | ||||
\(373\) | −3.13197 | − | 5.42473i | −0.162167 | − | 0.280882i | 0.773479 | − | 0.633822i | \(-0.218515\pi\) |
−0.935646 | + | 0.352941i | \(0.885182\pi\) | |||||||
\(374\) | −15.0489 | + | 26.0655i | −0.778162 | + | 1.34782i | ||||
\(375\) | −7.65623 | − | 7.10394i | −0.395366 | − | 0.366846i | ||||
\(376\) | −2.26074 | − | 1.54135i | −0.116589 | − | 0.0794889i | ||||
\(377\) | −16.7565 | − | 21.0119i | −0.863002 | − | 1.08217i | ||||
\(378\) | −11.5165 | + | 8.18661i | −0.592345 | + | 0.421074i | ||||
\(379\) | 10.4673 | − | 13.1256i | 0.537669 | − | 0.674215i | −0.436587 | − | 0.899662i | \(-0.643813\pi\) |
0.974255 | + | 0.225447i | \(0.0723842\pi\) | |||||||
\(380\) | 0.722966 | − | 0.223005i | 0.0370874 | − | 0.0114399i | ||||
\(381\) | −4.62970 | − | 11.7963i | −0.237187 | − | 0.604342i | ||||
\(382\) | −0.462309 | + | 6.16908i | −0.0236538 | + | 0.315638i | ||||
\(383\) | −11.7483 | + | 29.9341i | −0.600308 | + | 1.52956i | 0.230541 | + | 0.973063i | \(0.425950\pi\) |
−0.830849 | + | 0.556498i | \(0.812145\pi\) | |||||||
\(384\) | 1.01953 | + | 0.490980i | 0.0520276 | + | 0.0250552i | ||||
\(385\) | −10.5642 | − | 6.90353i | −0.538402 | − | 0.351837i | ||||
\(386\) | −14.9714 | + | 7.20982i | −0.762022 | + | 0.366970i | ||||
\(387\) | 0.500794 | + | 6.68263i | 0.0254568 | + | 0.339697i | ||||
\(388\) | −16.0830 | − | 4.96095i | −0.816490 | − | 0.251854i | ||||
\(389\) | 1.80846 | − | 1.23299i | 0.0916928 | − | 0.0625151i | −0.516606 | − | 0.856223i | \(-0.672805\pi\) |
0.608299 | + | 0.793708i | \(0.291852\pi\) | |||||||
\(390\) | 5.30342 | + | 0.799362i | 0.268549 | + | 0.0404773i | ||||
\(391\) | 14.7204 | 0.744441 | ||||||||
\(392\) | 5.62487 | − | 4.16663i | 0.284099 | − | 0.210447i | ||||
\(393\) | −11.4197 | −0.576049 | ||||||||
\(394\) | −7.66252 | − | 1.15494i | −0.386032 | − | 0.0581850i | ||||
\(395\) | 12.8694 | − | 8.77419i | 0.647529 | − | 0.441478i | ||||
\(396\) | −7.58480 | − | 2.33960i | −0.381151 | − | 0.117569i | ||||
\(397\) | −0.449806 | − | 6.00225i | −0.0225751 | − | 0.301244i | −0.997050 | − | 0.0767493i | \(-0.975546\pi\) |
0.974475 | − | 0.224495i | \(-0.0720732\pi\) | |||||||
\(398\) | 19.3863 | − | 9.33593i | 0.971745 | − | 0.467968i | ||||
\(399\) | 0.206582 | + | 2.18237i | 0.0103420 | + | 0.109255i | ||||
\(400\) | 3.54287 | + | 1.70616i | 0.177143 | + | 0.0853078i | ||||
\(401\) | 0.299577 | − | 0.763309i | 0.0149601 | − | 0.0381178i | −0.923199 | − | 0.384323i | \(-0.874435\pi\) |
0.938159 | + | 0.346206i | \(0.112530\pi\) | |||||||
\(402\) | 0.819287 | − | 10.9326i | 0.0408623 | − | 0.545270i | ||||
\(403\) | 5.68098 | + | 14.4749i | 0.282990 | + | 0.721047i | ||||
\(404\) | 9.19016 | − | 2.83479i | 0.457228 | − | 0.141036i | ||||
\(405\) | −0.570054 | + | 0.714825i | −0.0283262 | + | 0.0355199i | ||||
\(406\) | −15.2806 | + | 2.61009i | −0.758364 | + | 0.129537i | ||||
\(407\) | 9.83025 | + | 12.3267i | 0.487267 | + | 0.611014i | ||||
\(408\) | −6.09611 | − | 4.15626i | −0.301803 | − | 0.205766i | ||||
\(409\) | −11.1498 | − | 10.3455i | −0.551322 | − | 0.511552i | 0.354588 | − | 0.935023i | \(-0.384621\pi\) |
−0.905910 | + | 0.423471i | \(0.860812\pi\) | |||||||
\(410\) | 3.63539 | − | 6.29668i | 0.179539 | − | 0.310971i | ||||
\(411\) | −1.04893 | − | 1.81680i | −0.0517399 | − | 0.0896162i | ||||
\(412\) | −1.90046 | + | 8.32646i | −0.0936290 | + | 0.410215i | ||||
\(413\) | 13.7035 | − | 6.93298i | 0.674307 | − | 0.341150i | ||||
\(414\) | 0.863841 | + | 3.78474i | 0.0424555 | + | 0.186010i | ||||
\(415\) | 3.76416 | − | 3.49263i | 0.184775 | − | 0.171446i | ||||
\(416\) | −4.53564 | + | 0.683638i | −0.222378 | + | 0.0335181i | ||||
\(417\) | 5.64571 | − | 0.850954i | 0.276472 | − | 0.0416714i | ||||
\(418\) | −2.47765 | + | 2.29892i | −0.121186 | + | 0.112444i | ||||
\(419\) | 5.33972 | + | 23.3948i | 0.260862 | + | 1.14291i | 0.920318 | + | 0.391170i | \(0.127930\pi\) |
−0.659456 | + | 0.751743i | \(0.729213\pi\) | |||||||
\(420\) | 1.88112 | − | 2.45598i | 0.0917891 | − | 0.119840i | ||||
\(421\) | 2.02648 | − | 8.87858i | 0.0987645 | − | 0.432715i | −0.901235 | − | 0.433330i | \(-0.857338\pi\) |
1.00000 | 0.000614544i | \(0.000195615\pi\) | ||||||||
\(422\) | 9.68472 | + | 16.7744i | 0.471445 | + | 0.816567i | ||||
\(423\) | −2.35243 | + | 4.07453i | −0.114379 | + | 0.198110i | ||||
\(424\) | 3.42586 | + | 3.17874i | 0.166375 | + | 0.154373i | ||||
\(425\) | −21.1840 | − | 14.4430i | −1.02758 | − | 0.700589i | ||||
\(426\) | 10.8210 | + | 13.5691i | 0.524278 | + | 0.657423i | ||||
\(427\) | 2.82176 | + | 2.51722i | 0.136554 | + | 0.121817i | ||||
\(428\) | 4.61331 | − | 5.78490i | 0.222993 | − | 0.279624i | ||||
\(429\) | −22.8954 | + | 7.06231i | −1.10540 | + | 0.340971i | ||||
\(430\) | −1.47125 | − | 3.74869i | −0.0709501 | − | 0.180778i | ||||
\(431\) | 1.20981 | − | 16.1439i | 0.0582747 | − | 0.777622i | −0.889144 | − | 0.457627i | \(-0.848700\pi\) |
0.947419 | − | 0.319995i | \(-0.103681\pi\) | |||||||
\(432\) | 1.95112 | − | 4.97138i | 0.0938734 | − | 0.239185i | ||||
\(433\) | −18.7415 | − | 9.02544i | −0.900660 | − | 0.433735i | −0.0745325 | − | 0.997219i | \(-0.523746\pi\) |
−0.826127 | + | 0.563484i | \(0.809461\pi\) | |||||||
\(434\) | 8.89357 | + | 1.16291i | 0.426905 | + | 0.0558216i | ||||
\(435\) | −6.17254 | + | 2.97254i | −0.295950 | + | 0.142522i | ||||
\(436\) | 1.31383 | + | 17.5319i | 0.0629212 | + | 0.839625i | ||||
\(437\) | 1.57962 | + | 0.487247i | 0.0755633 | + | 0.0233082i | ||||
\(438\) | −5.75766 | + | 3.92551i | −0.275112 | + | 0.187568i | ||||
\(439\) | 24.5005 | + | 3.69285i | 1.16934 | + | 0.176250i | 0.704870 | − | 0.709336i | \(-0.251005\pi\) |
0.464474 | + | 0.885587i | \(0.346243\pi\) | |||||||
\(440\) | 4.76986 | 0.227394 | ||||||||
\(441\) | −7.86727 | − | 9.10951i | −0.374632 | − | 0.433786i | ||||
\(442\) | 29.9071 | 1.42253 | ||||||||
\(443\) | 4.72285 | + | 0.711855i | 0.224389 | + | 0.0338213i | 0.260275 | − | 0.965535i | \(-0.416187\pi\) |
−0.0358851 | + | 0.999356i | \(0.511425\pi\) | |||||||
\(444\) | −3.19339 | + | 2.17722i | −0.151552 | + | 0.103326i | ||||
\(445\) | 17.4751 | + | 5.39036i | 0.828400 | + | 0.255528i | ||||
\(446\) | 0.371049 | + | 4.95131i | 0.0175697 | + | 0.234451i | ||||
\(447\) | 4.76829 | − | 2.29629i | 0.225532 | − | 0.108611i | ||||
\(448\) | −0.918200 | + | 2.48131i | −0.0433809 | + | 0.117231i | ||||
\(449\) | −20.8541 | − | 10.0428i | −0.984168 | − | 0.473950i | −0.128631 | − | 0.991693i | \(-0.541058\pi\) |
−0.855537 | + | 0.517742i | \(0.826773\pi\) | |||||||
\(450\) | 2.47028 | − | 6.29416i | 0.116450 | − | 0.296710i | ||||
\(451\) | −2.42732 | + | 32.3904i | −0.114298 | + | 1.52520i | ||||
\(452\) | 2.63988 | + | 6.72631i | 0.124170 | + | 0.316379i | ||||
\(453\) | 21.7583 | − | 6.71156i | 1.02230 | − | 0.315336i | ||||
\(454\) | −7.96202 | + | 9.98406i | −0.373676 | + | 0.468575i | ||||
\(455\) | −0.692116 | + | 12.5208i | −0.0324469 | + | 0.586982i | ||||
\(456\) | −0.516590 | − | 0.647783i | −0.0241915 | − | 0.0303352i | ||||
\(457\) | 9.14445 | + | 6.23458i | 0.427759 | + | 0.291641i | 0.757999 | − | 0.652256i | \(-0.226177\pi\) |
−0.330240 | + | 0.943897i | \(0.607130\pi\) | |||||||
\(458\) | 18.4079 | + | 17.0800i | 0.860145 | + | 0.798098i | ||||
\(459\) | −17.4106 | + | 30.1560i | −0.812656 | + | 1.40756i | ||||
\(460\) | −1.16643 | − | 2.02032i | −0.0543851 | − | 0.0941977i | ||||
\(461\) | 0.266299 | − | 1.16673i | 0.0124028 | − | 0.0543402i | −0.968348 | − | 0.249605i | \(-0.919699\pi\) |
0.980751 | + | 0.195264i | \(0.0625565\pi\) | |||||||
\(462\) | −2.81094 | + | 13.5314i | −0.130777 | + | 0.629539i | ||||
\(463\) | −2.63550 | − | 11.5469i | −0.122482 | − | 0.536629i | −0.998520 | − | 0.0543866i | \(-0.982680\pi\) |
0.876038 | − | 0.482242i | \(-0.160177\pi\) | |||||||
\(464\) | 4.29508 | − | 3.98525i | 0.199394 | − | 0.185011i | ||||
\(465\) | 3.91966 | − | 0.590793i | 0.181770 | − | 0.0273974i | ||||
\(466\) | 0.599780 | − | 0.0904023i | 0.0277843 | − | 0.00418781i | ||||
\(467\) | 15.3577 | − | 14.2498i | 0.710667 | − | 0.659403i | −0.239588 | − | 0.970875i | \(-0.577012\pi\) |
0.950255 | + | 0.311472i | \(0.100822\pi\) | |||||||
\(468\) | 1.75505 | + | 7.68937i | 0.0811272 | + | 0.355441i | ||||
\(469\) | 25.6281 | − | 0.501823i | 1.18340 | − | 0.0231720i | ||||
\(470\) | 0.629134 | − | 2.75642i | 0.0290198 | − | 0.127144i | ||||
\(471\) | −3.15753 | − | 5.46900i | −0.145491 | − | 0.251998i | ||||
\(472\) | −2.90230 | + | 5.02693i | −0.133589 | + | 0.231383i | ||||
\(473\) | 13.1879 | + | 12.2366i | 0.606379 | + | 0.562638i | ||||
\(474\) | −14.0935 | − | 9.60882i | −0.647338 | − | 0.441348i | ||||
\(475\) | −1.79515 | − | 2.25105i | −0.0823672 | − | 0.103285i | ||||
\(476\) | 8.33122 | − | 15.1055i | 0.381861 | − | 0.692361i | ||||
\(477\) | 5.01033 | − | 6.28276i | 0.229407 | − | 0.287668i | ||||
\(478\) | 0.233064 | − | 0.0718908i | 0.0106601 | − | 0.00328821i | ||||
\(479\) | −1.71123 | − | 4.36015i | −0.0781882 | − | 0.199220i | 0.886435 | − | 0.462854i | \(-0.153174\pi\) |
−0.964623 | + | 0.263633i | \(0.915079\pi\) | |||||||
\(480\) | −0.0873802 | + | 1.16601i | −0.00398834 | + | 0.0532207i | ||||
\(481\) | 5.72363 | − | 14.5836i | 0.260975 | − | 0.664954i | ||||
\(482\) | −24.0532 | − | 11.5834i | −1.09559 | − | 0.527610i | ||||
\(483\) | 6.41874 | − | 2.11840i | 0.292063 | − | 0.0963905i | ||||
\(484\) | −9.28783 | + | 4.47278i | −0.422174 | + | 0.203308i | ||||
\(485\) | −1.29965 | − | 17.3426i | −0.0590140 | − | 0.787487i | ||||
\(486\) | −14.3531 | − | 4.42733i | −0.651068 | − | 0.200828i | ||||
\(487\) | 3.70806 | − | 2.52812i | 0.168028 | − | 0.114560i | −0.476386 | − | 0.879236i | \(-0.658054\pi\) |
0.644415 | + | 0.764676i | \(0.277101\pi\) | |||||||
\(488\) | −1.41326 | − | 0.213014i | −0.0639752 | − | 0.00964271i | ||||
\(489\) | 19.3568 | 0.875344 | ||||||||
\(490\) | 6.13121 | + | 3.83748i | 0.276980 | + | 0.173360i | ||||
\(491\) | −31.9992 | −1.44410 | −0.722051 | − | 0.691840i | \(-0.756801\pi\) | ||||
−0.722051 | + | 0.691840i | \(0.756801\pi\) | |||||||
\(492\) | −7.87346 | − | 1.18673i | −0.354963 | − | 0.0535021i | ||||
\(493\) | −31.5645 | + | 21.5203i | −1.42160 | + | 0.969227i | ||||
\(494\) | 3.20928 | + | 0.989930i | 0.144392 | + | 0.0445391i | ||||
\(495\) | −0.612919 | − | 8.17884i | −0.0275487 | − | 0.367611i | ||||
\(496\) | −3.05435 | + | 1.47090i | −0.137144 | + | 0.0660452i | ||||
\(497\) | −29.2001 | + | 28.1774i | −1.30980 | + | 1.26393i | ||||
\(498\) | −5.06647 | − | 2.43988i | −0.227034 | − | 0.109334i | ||||
\(499\) | 2.81759 | − | 7.17910i | 0.126133 | − | 0.321381i | −0.853833 | − | 0.520547i | \(-0.825728\pi\) |
0.979966 | + | 0.199166i | \(0.0638234\pi\) | |||||||
\(500\) | −0.689740 | + | 9.20394i | −0.0308461 | + | 0.411613i | ||||
\(501\) | −3.42826 | − | 8.73506i | −0.153163 | − | 0.390254i | ||||
\(502\) | −2.73221 | + | 0.842775i | −0.121944 | + | 0.0376149i | ||||
\(503\) | −4.23268 | + | 5.30761i | −0.188726 | + | 0.236655i | −0.867188 | − | 0.497980i | \(-0.834075\pi\) |
0.678463 | + | 0.734635i | \(0.262647\pi\) | |||||||
\(504\) | 4.37267 | + | 1.25558i | 0.194774 | + | 0.0559282i | ||||
\(505\) | 6.19607 | + | 7.76962i | 0.275721 | + | 0.345744i | ||||
\(506\) | 8.61084 | + | 5.87077i | 0.382798 | + | 0.260988i | ||||
\(507\) | 6.66880 | + | 6.18774i | 0.296172 | + | 0.274807i | ||||
\(508\) | −5.59931 | + | 9.69829i | −0.248429 | + | 0.430292i | ||||
\(509\) | 17.2950 | + | 29.9558i | 0.766586 | + | 1.32777i | 0.939404 | + | 0.342812i | \(0.111379\pi\) |
−0.172818 | + | 0.984954i | \(0.555287\pi\) | |||||||
\(510\) | 1.69647 | − | 7.43271i | 0.0751209 | − | 0.329126i | ||||
\(511\) | −10.4059 | − | 12.5370i | −0.460331 | − | 0.554605i | ||||
\(512\) | −0.222521 | − | 0.974928i | −0.00983413 | − | 0.0430861i | ||||
\(513\) | −2.86647 | + | 2.65969i | −0.126558 | + | 0.117428i | ||||
\(514\) | 24.2952 | − | 3.66191i | 1.07161 | − | 0.161520i | ||||
\(515\) | −8.72645 | + | 1.31530i | −0.384533 | + | 0.0579591i | ||||
\(516\) | −3.23286 | + | 2.99965i | −0.142319 | + | 0.132052i | ||||
\(517\) | 2.81057 | + | 12.3139i | 0.123609 | + | 0.541565i | ||||
\(518\) | −5.77147 | − | 6.95345i | −0.253584 | − | 0.305517i | ||||
\(519\) | 3.38221 | − | 14.8184i | 0.148462 | − | 0.650456i | ||||
\(520\) | −2.36981 | − | 4.10463i | −0.103923 | − | 0.180000i | ||||
\(521\) | −3.04859 | + | 5.28032i | −0.133561 | + | 0.231335i | −0.925047 | − | 0.379853i | \(-0.875975\pi\) |
0.791486 | + | 0.611188i | \(0.209308\pi\) | |||||||
\(522\) | −7.38538 | − | 6.85263i | −0.323249 | − | 0.299932i | ||||
\(523\) | 29.5059 | + | 20.1168i | 1.29020 | + | 0.879644i | 0.997075 | − | 0.0764294i | \(-0.0243520\pi\) |
0.293126 | + | 0.956074i | \(0.405304\pi\) | |||||||
\(524\) | 6.29209 | + | 7.89004i | 0.274871 | + | 0.344678i | ||||
\(525\) | −11.3157 | − | 3.24922i | −0.493856 | − | 0.141808i | ||||
\(526\) | −6.28535 | + | 7.88158i | −0.274054 | + | 0.343653i | ||||
\(527\) | 21.1217 | − | 6.51519i | 0.920077 | − | 0.283806i | ||||
\(528\) | −1.90839 | − | 4.86250i | −0.0830520 | − | 0.211613i | ||||
\(529\) | −1.33789 | + | 17.8528i | −0.0581690 | + | 0.776211i | ||||
\(530\) | −1.76425 | + | 4.49524i | −0.0766343 | + | 0.195261i | ||||
\(531\) | 8.99256 | + | 4.33059i | 0.390244 | + | 0.187932i | ||||
\(532\) | 1.39400 | − | 1.34518i | 0.0604377 | − | 0.0583211i | ||||
\(533\) | 29.0790 | − | 14.0037i | 1.25955 | − | 0.606569i | ||||
\(534\) | −1.49663 | − | 19.9711i | −0.0647655 | − | 0.864236i | ||||
\(535\) | 7.30591 | + | 2.25357i | 0.315862 | + | 0.0974305i | ||||
\(536\) | −8.00490 | + | 5.45765i | −0.345759 | + | 0.235735i | ||||
\(537\) | 12.8734 | + | 1.94036i | 0.555530 | + | 0.0837326i | ||||
\(538\) | 22.9408 | 0.989049 | ||||||||
\(539\) | −32.1161 | − | 3.56148i | −1.38334 | − | 0.153404i | ||||
\(540\) | 5.51840 | 0.237474 | ||||||||
\(541\) | −29.5304 | − | 4.45100i | −1.26961 | − | 0.191363i | −0.520532 | − | 0.853842i | \(-0.674266\pi\) |
−0.749081 | + | 0.662479i | \(0.769504\pi\) | |||||||
\(542\) | 5.60568 | − | 3.82189i | 0.240784 | − | 0.164164i | ||||
\(543\) | −7.05877 | − | 2.17734i | −0.302921 | − | 0.0934387i | ||||
\(544\) | 0.487251 | + | 6.50192i | 0.0208907 | + | 0.278767i | ||||
\(545\) | −16.3675 | + | 7.88216i | −0.701106 | + | 0.337635i | ||||
\(546\) | 13.0408 | − | 4.30391i | 0.558096 | − | 0.184190i | ||||
\(547\) | 18.3375 | + | 8.83086i | 0.784054 | + | 0.377580i | 0.782684 | − | 0.622419i | \(-0.213850\pi\) |
0.00136926 | + | 0.999999i | \(0.499564\pi\) | |||||||
\(548\) | −0.677307 | + | 1.72575i | −0.0289331 | + | 0.0737203i | ||||
\(549\) | −0.183652 | + | 2.45067i | −0.00783810 | + | 0.104592i | ||||
\(550\) | −6.63166 | − | 16.8972i | −0.282775 | − | 0.720499i | ||||
\(551\) | −4.09946 | + | 1.26452i | −0.174643 | + | 0.0538702i | ||||
\(552\) | −1.59287 | + | 1.99740i | −0.0677971 | + | 0.0850149i | ||||
\(553\) | 19.2609 | − | 34.9223i | 0.819055 | − | 1.48505i | ||||
\(554\) | −13.1569 | − | 16.4982i | −0.558981 | − | 0.700941i | ||||
\(555\) | −3.29974 | − | 2.24972i | −0.140066 | − | 0.0954954i | ||||
\(556\) | −3.69863 | − | 3.43183i | −0.156857 | − | 0.145542i | ||||
\(557\) | 4.23486 | − | 7.33500i | 0.179437 | − | 0.310794i | −0.762251 | − | 0.647282i | \(-0.775906\pi\) |
0.941688 | + | 0.336488i | \(0.109239\pi\) | |||||||
\(558\) | 2.91461 | + | 5.04825i | 0.123385 | + | 0.213710i | ||||
\(559\) | 3.97786 | − | 17.4281i | 0.168245 | − | 0.737131i | ||||
\(560\) | −2.73334 | + | 0.0535214i | −0.115505 | + | 0.00226169i | ||||
\(561\) | 7.57874 | + | 33.2046i | 0.319975 | + | 1.40190i | ||||
\(562\) | −9.98264 | + | 9.26253i | −0.421092 | + | 0.390716i | ||||
\(563\) | −8.98177 | + | 1.35378i | −0.378536 | + | 0.0570552i | −0.335555 | − | 0.942021i | \(-0.608924\pi\) |
−0.0429816 | + | 0.999076i | \(0.513686\pi\) | |||||||
\(564\) | −3.06166 | + | 0.461471i | −0.128919 | + | 0.0194314i | ||||
\(565\) | −5.47329 | + | 5.07847i | −0.230263 | + | 0.213653i | ||||
\(566\) | −4.77966 | − | 20.9411i | −0.200904 | − | 0.880219i | ||||
\(567\) | −0.476148 | + | 2.29210i | −0.0199963 | + | 0.0962593i | ||||
\(568\) | 3.41285 | − | 14.9527i | 0.143200 | − | 0.627401i | ||||
\(569\) | 1.64013 | + | 2.84079i | 0.0687578 | + | 0.119092i | 0.898355 | − | 0.439271i | \(-0.144763\pi\) |
−0.829597 | + | 0.558363i | \(0.811430\pi\) | |||||||
\(570\) | 0.428069 | − | 0.741438i | 0.0179298 | − | 0.0310554i | ||||
\(571\) | −13.2381 | − | 12.2831i | −0.553996 | − | 0.514033i | 0.352746 | − | 0.935719i | \(-0.385248\pi\) |
−0.906742 | + | 0.421686i | \(0.861438\pi\) | |||||||
\(572\) | 17.4945 | + | 11.9275i | 0.731480 | + | 0.498715i | ||||
\(573\) | 4.36472 | + | 5.47318i | 0.182339 | + | 0.228645i | ||||
\(574\) | 1.02752 | − | 18.5883i | 0.0428877 | − | 0.775861i | ||||
\(575\) | −5.53523 | + | 6.94096i | −0.230835 | + | 0.289458i | ||||
\(576\) | −1.64311 | + | 0.506831i | −0.0684628 | + | 0.0211180i | ||||
\(577\) | 11.5968 | + | 29.5481i | 0.482780 | + | 1.23010i | 0.940130 | + | 0.340817i | \(0.110704\pi\) |
−0.457349 | + | 0.889287i | \(0.651201\pi\) | |||||||
\(578\) | 1.90654 | − | 25.4410i | 0.0793015 | − | 1.05821i | ||||
\(579\) | −6.86973 | + | 17.5038i | −0.285496 | + | 0.727433i | ||||
\(580\) | 5.45473 | + | 2.62686i | 0.226495 | + | 0.109074i | ||||
\(581\) | 4.56293 | − | 12.3307i | 0.189302 | − | 0.511563i | ||||
\(582\) | −17.1594 | + | 8.26355i | −0.711281 | + | 0.342535i | ||||
\(583\) | −1.61216 | − | 21.5128i | −0.0667690 | − | 0.890971i | ||||
\(584\) | 5.88457 | + | 1.81515i | 0.243505 | + | 0.0751114i | ||||
\(585\) | −6.73366 | + | 4.59093i | −0.278403 | + | 0.189812i | ||||
\(586\) | −11.8772 | − | 1.79020i | −0.490642 | − | 0.0739524i | ||||
\(587\) | −24.4886 | −1.01075 | −0.505377 | − | 0.862899i | \(-0.668647\pi\) | ||||
−0.505377 | + | 0.862899i | \(0.668647\pi\) | |||||||
\(588\) | 1.45896 | − | 7.78563i | 0.0601663 | − | 0.321074i | ||||
\(589\) | 2.48219 | 0.102277 | ||||||||
\(590\) | −5.93091 | − | 0.893941i | −0.244172 | − | 0.0368030i | ||||
\(591\) | −7.24511 | + | 4.93963i | −0.298024 | + | 0.203189i | ||||
\(592\) | 3.26378 | + | 1.00674i | 0.134140 | + | 0.0413768i | ||||
\(593\) | −1.90959 | − | 25.4818i | −0.0784176 | − | 1.04641i | −0.888133 | − | 0.459587i | \(-0.847997\pi\) |
0.809715 | − | 0.586823i | \(-0.199622\pi\) | |||||||
\(594\) | −22.2113 | + | 10.6964i | −0.911341 | + | 0.438879i | ||||
\(595\) | 17.6747 | + | 2.31113i | 0.724593 | + | 0.0947469i | ||||
\(596\) | −4.21378 | − | 2.02925i | −0.172603 | − | 0.0831214i | ||||
\(597\) | 8.89555 | − | 22.6655i | 0.364071 | − | 0.927637i | ||||
\(598\) | 0.773879 | − | 10.3267i | 0.0316463 | − | 0.422290i | ||||
\(599\) | 4.47191 | + | 11.3942i | 0.182717 | + | 0.465556i | 0.992658 | − | 0.120956i | \(-0.0385959\pi\) |
−0.809941 | + | 0.586512i | \(0.800501\pi\) | |||||||
\(600\) | 4.25206 | − | 1.31159i | 0.173589 | − | 0.0535453i | ||||
\(601\) | 2.51975 | − | 3.15966i | 0.102783 | − | 0.128885i | −0.727780 | − | 0.685811i | \(-0.759448\pi\) |
0.830562 | + | 0.556926i | \(0.188019\pi\) | |||||||
\(602\) | −7.69453 | − | 6.86410i | −0.313605 | − | 0.279760i | ||||
\(603\) | 10.3868 | + | 13.0246i | 0.422983 | + | 0.530404i | ||||
\(604\) | −16.6256 | − | 11.3351i | −0.676486 | − | 0.461220i | ||||
\(605\) | −7.80848 | − | 7.24521i | −0.317460 | − | 0.294560i | ||||
\(606\) | 5.44151 | − | 9.42497i | 0.221046 | − | 0.382863i | ||||
\(607\) | −16.2822 | − | 28.2016i | −0.660874 | − | 1.14467i | −0.980386 | − | 0.197085i | \(-0.936852\pi\) |
0.319513 | − | 0.947582i | \(-0.396481\pi\) | |||||||
\(608\) | −0.162929 | + | 0.713837i | −0.00660763 | + | 0.0289499i | ||||
\(609\) | −10.6666 | + | 13.9263i | −0.432231 | + | 0.564321i | ||||
\(610\) | −0.328623 | − | 1.43979i | −0.0133055 | − | 0.0582954i | ||||
\(611\) | 9.20018 | − | 8.53652i | 0.372199 | − | 0.345351i | ||||
\(612\) | 11.0862 | − | 1.67097i | 0.448132 | − | 0.0675450i | ||||
\(613\) | −41.4028 | + | 6.24047i | −1.67225 | + | 0.252050i | −0.915692 | − | 0.401882i | \(-0.868356\pi\) |
−0.756553 | + | 0.653932i | \(0.773118\pi\) | |||||||
\(614\) | 19.8994 | − | 18.4640i | 0.803076 | − | 0.745145i | ||||
\(615\) | −1.83080 | − | 8.02128i | −0.0738251 | − | 0.323449i | ||||
\(616\) | 10.8978 | − | 5.51349i | 0.439086 | − | 0.222145i | ||||
\(617\) | −7.72239 | + | 33.8340i | −0.310892 | + | 1.36210i | 0.542159 | + | 0.840276i | \(0.317607\pi\) |
−0.853050 | + | 0.521829i | \(0.825250\pi\) | |||||||
\(618\) | 4.83224 | + | 8.36968i | 0.194381 | + | 0.336678i | ||||
\(619\) | 12.1917 | − | 21.1167i | 0.490027 | − | 0.848751i | −0.509908 | − | 0.860229i | \(-0.670320\pi\) |
0.999934 | + | 0.0114783i | \(0.00365372\pi\) | |||||||
\(620\) | −2.56786 | − | 2.38262i | −0.103128 | − | 0.0956884i | ||||
\(621\) | 9.96214 | + | 6.79207i | 0.399767 | + | 0.272556i | ||||
\(622\) | 6.70824 | + | 8.41187i | 0.268976 | + | 0.337285i | ||||
\(623\) | 46.1565 | − | 7.88403i | 1.84922 | − | 0.315867i | ||||
\(624\) | −3.23620 | + | 4.05807i | −0.129552 | + | 0.162453i | ||||
\(625\) | 9.67452 | − | 2.98419i | 0.386981 | − | 0.119368i | ||||
\(626\) | 1.68198 | + | 4.28561i | 0.0672254 | + | 0.171287i | ||||
\(627\) | −0.285819 | + | 3.81399i | −0.0114145 | + | 0.152316i | ||||
\(628\) | −2.03885 | + | 5.19491i | −0.0813590 | + | 0.207299i | ||||
\(629\) | −20.0643 | − | 9.66245i | −0.800016 | − | 0.385267i | ||||
\(630\) | 0.443002 | + | 4.67995i | 0.0176496 | + | 0.186454i | ||||
\(631\) | 11.3963 | − | 5.48815i | 0.453678 | − | 0.218480i | −0.193068 | − | 0.981185i | \(-0.561844\pi\) |
0.646746 | + | 0.762706i | \(0.276129\pi\) | |||||||
\(632\) | 1.12647 | + | 15.0317i | 0.0448086 | + | 0.597930i | ||||
\(633\) | 20.9446 | + | 6.46054i | 0.832471 | + | 0.256783i | ||||
\(634\) | −1.60155 | + | 1.09192i | −0.0636058 | + | 0.0433657i | ||||
\(635\) | −11.4423 | − | 1.72465i | −0.454074 | − | 0.0684407i | ||||
\(636\) | 5.28841 | 0.209699 | ||||||||
\(637\) | 12.8915 | + | 29.4065i | 0.510778 | + | 1.16513i | ||||
\(638\) | −27.0467 | −1.07079 | ||||||||
\(639\) | −26.0778 | − | 3.93059i | −1.03162 | − | 0.155492i | ||||
\(640\) | 0.853754 | − | 0.582080i | 0.0337476 | − | 0.0230087i | ||||
\(641\) | 7.60648 | + | 2.34629i | 0.300438 | + | 0.0926728i | 0.441309 | − | 0.897355i | \(-0.354514\pi\) |
−0.140871 | + | 0.990028i | \(0.544990\pi\) | |||||||
\(642\) | −0.625703 | − | 8.34943i | −0.0246945 | − | 0.329526i | ||||
\(643\) | −36.1913 | + | 17.4288i | −1.42725 | + | 0.687325i | −0.978483 | − | 0.206326i | \(-0.933849\pi\) |
−0.448762 | + | 0.893651i | \(0.648135\pi\) | |||||||
\(644\) | −5.00025 | − | 3.26758i | −0.197038 | − | 0.128761i | ||||
\(645\) | −4.10572 | − | 1.97721i | −0.161662 | − | 0.0778525i | ||||
\(646\) | 1.74414 | − | 4.44401i | 0.0686225 | − | 0.174847i | ||||
\(647\) | −0.277072 | + | 3.69727i | −0.0108928 | + | 0.145355i | −0.999998 | − | 0.00185399i | \(-0.999410\pi\) |
0.989105 | + | 0.147209i | \(0.0470289\pi\) | |||||||
\(648\) | −0.323264 | − | 0.823664i | −0.0126990 | − | 0.0323566i | ||||
\(649\) | 25.6044 | − | 7.89791i | 1.00506 | − | 0.310020i | ||||
\(650\) | −11.2458 | + | 14.1018i | −0.441097 | + | 0.553119i | ||||
\(651\) | 8.27243 | − | 5.88053i | 0.324222 | − | 0.230476i | ||||
\(652\) | −10.6653 | − | 13.3738i | −0.417685 | − | 0.523760i | ||||
\(653\) | −30.6748 | − | 20.9137i | −1.20040 | − | 0.818418i | −0.213060 | − | 0.977039i | \(-0.568343\pi\) |
−0.987340 | + | 0.158621i | \(0.949295\pi\) | |||||||
\(654\) | 14.5838 | + | 13.5317i | 0.570270 | + | 0.529133i | ||||
\(655\) | −5.21391 | + | 9.03075i | −0.203724 | + | 0.352861i | ||||
\(656\) | 3.51823 | + | 6.09374i | 0.137364 | + | 0.237921i | ||||
\(657\) | 2.35626 | − | 10.3235i | 0.0919265 | − | 0.402756i | ||||
\(658\) | −1.74875 | − | 7.02486i | −0.0681733 | − | 0.273858i | ||||
\(659\) | 1.63589 | + | 7.16731i | 0.0637253 | + | 0.279199i | 0.996744 | − | 0.0806286i | \(-0.0256928\pi\) |
−0.933019 | + | 0.359827i | \(0.882836\pi\) | |||||||
\(660\) | 3.95668 | − | 3.67126i | 0.154013 | − | 0.142904i | ||||
\(661\) | 20.7083 | − | 3.12127i | 0.805460 | − | 0.121404i | 0.266609 | − | 0.963805i | \(-0.414097\pi\) |
0.538851 | + | 0.842401i | \(0.318859\pi\) | |||||||
\(662\) | 8.46403 | − | 1.27575i | 0.328964 | − | 0.0495833i | ||||
\(663\) | 24.8084 | − | 23.0188i | 0.963478 | − | 0.893977i | ||||
\(664\) | 1.10580 | + | 4.84483i | 0.0429134 | + | 0.188016i | ||||
\(665\) | 1.82014 | + | 0.833039i | 0.0705821 | + | 0.0323039i | ||||
\(666\) | 1.30686 | − | 5.72573i | 0.0506398 | − | 0.221868i | ||||
\(667\) | 6.61405 | + | 11.4559i | 0.256097 | + | 0.443573i | ||||
\(668\) | −4.14625 | + | 7.18151i | −0.160423 | + | 0.277861i | ||||
\(669\) | 4.11870 | + | 3.82160i | 0.159238 | + | 0.147752i | ||||
\(670\) | −8.27148 | − | 5.63940i | −0.319555 | − | 0.217869i | ||||
\(671\) | 4.11346 | + | 5.15812i | 0.158798 | + | 0.199127i | ||||
\(672\) | 1.14815 | + | 2.76501i | 0.0442909 | + | 0.106662i | ||||
\(673\) | −28.6471 | + | 35.9223i | −1.10426 | + | 1.38470i | −0.188938 | + | 0.981989i | \(0.560505\pi\) |
−0.915326 | + | 0.402714i | \(0.868067\pi\) | |||||||
\(674\) | −14.4733 | + | 4.46443i | −0.557492 | + | 0.171963i | ||||
\(675\) | −7.67237 | − | 19.5489i | −0.295310 | − | 0.752437i | ||||
\(676\) | 0.600784 | − | 8.01691i | 0.0231071 | − | 0.308343i | ||||
\(677\) | −10.3127 | + | 26.2763i | −0.396349 | + | 1.00988i | 0.583849 | + | 0.811862i | \(0.301546\pi\) |
−0.980198 | + | 0.198019i | \(0.936549\pi\) | |||||||
\(678\) | 7.36692 | + | 3.54772i | 0.282925 | + | 0.136249i | ||||
\(679\) | −23.0157 | − | 38.1208i | −0.883261 | − | 1.46294i | ||||
\(680\) | −6.07008 | + | 2.92320i | −0.232777 | + | 0.112099i | ||||
\(681\) | 1.07989 | + | 14.4101i | 0.0413815 | + | 0.552197i | ||||
\(682\) | 14.9538 | + | 4.61263i | 0.572610 | + | 0.176627i | ||||
\(683\) | −4.18446 | + | 2.85291i | −0.160114 | + | 0.109164i | −0.640726 | − | 0.767769i | \(-0.721367\pi\) |
0.480613 | + | 0.876933i | \(0.340414\pi\) | |||||||
\(684\) | 1.24495 | + | 0.187645i | 0.0476017 | + | 0.00717480i | ||||
\(685\) | −1.91564 | −0.0731929 | ||||||||
\(686\) | 18.4439 | + | 1.68051i | 0.704190 | + | 0.0641623i | ||||
\(687\) | 28.4158 | 1.08413 | ||||||||
\(688\) | 3.85375 | + | 0.580860i | 0.146923 | + | 0.0221451i | ||||
\(689\) | −17.7116 | + | 12.0756i | −0.674757 | + | 0.460042i | ||||
\(690\) | −2.52257 | − | 0.778108i | −0.0960324 | − | 0.0296221i | ||||
\(691\) | −1.13591 | − | 15.1577i | −0.0432122 | − | 0.576626i | −0.976222 | − | 0.216775i | \(-0.930446\pi\) |
0.933009 | − | 0.359852i | \(-0.117173\pi\) | |||||||
\(692\) | −12.1018 | + | 5.82791i | −0.460040 | + | 0.221544i | ||||
\(693\) | −10.8543 | − | 17.9779i | −0.412320 | − | 0.682924i | ||||
\(694\) | 26.1389 | + | 12.5878i | 0.992220 | + | 0.477828i | ||||
\(695\) | 1.90473 | − | 4.85316i | 0.0722504 | − | 0.184091i | ||||
\(696\) | 0.495475 | − | 6.61166i | 0.0187809 | − | 0.250614i | ||||
\(697\) | −16.7614 | − | 42.7073i | −0.634882 | − | 1.61765i | ||||
\(698\) | −22.4554 | + | 6.92656i | −0.849948 | + | 0.262174i | ||||
\(699\) | 0.427947 | − | 0.536628i | 0.0161864 | − | 0.0202971i | ||||
\(700\) | 3.98982 | + | 9.60840i | 0.150801 | + | 0.363164i | ||||
\(701\) | 20.0757 | + | 25.1741i | 0.758248 | + | 0.950813i | 0.999808 | − | 0.0195726i | \(-0.00623054\pi\) |
−0.241560 | + | 0.970386i | \(0.577659\pi\) | |||||||
\(702\) | 20.2399 | + | 13.7993i | 0.763905 | + | 0.520822i | ||||
\(703\) | −1.83323 | − | 1.70099i | −0.0691417 | − | 0.0641541i | ||||
\(704\) | −2.30807 | + | 3.99769i | −0.0869886 | + | 0.150669i | ||||
\(705\) | −1.59968 | − | 2.77072i | −0.0602473 | − | 0.104351i | ||||
\(706\) | −6.60160 | + | 28.9235i | −0.248455 | + | 1.08855i | ||||
\(707\) | 23.1372 | + | 10.5894i | 0.870164 | + | 0.398255i | ||||
\(708\) | 1.46161 | + | 6.40375i | 0.0549308 | + | 0.240668i | ||||
\(709\) | 16.1338 | − | 14.9700i | 0.605918 | − | 0.562210i | −0.316407 | − | 0.948623i | \(-0.602477\pi\) |
0.922326 | + | 0.386413i | \(0.126286\pi\) | |||||||
\(710\) | 15.6710 | − | 2.36202i | 0.588121 | − | 0.0886450i | ||||
\(711\) | 25.6300 | − | 3.86310i | 0.961200 | − | 0.144878i | ||||
\(712\) | −12.9737 | + | 12.0378i | −0.486210 | + | 0.451137i | ||||
\(713\) | −1.70310 | − | 7.46178i | −0.0637817 | − | 0.279446i | ||||
\(714\) | −4.71552 | − | 18.9426i | −0.176474 | − | 0.708910i | ||||
\(715\) | −4.86848 | + | 21.3302i | −0.182071 | + | 0.797704i | ||||
\(716\) | −5.75244 | − | 9.96353i | −0.214979 | − | 0.372354i | ||||
\(717\) | 0.137998 | − | 0.239019i | 0.00515362 | − | 0.00892633i | ||||
\(718\) | −11.9683 | − | 11.1050i | −0.446654 | − | 0.414435i | ||||
\(719\) | 14.3030 | + | 9.75165i | 0.533414 | + | 0.363675i | 0.799872 | − | 0.600171i | \(-0.204901\pi\) |
−0.266458 | + | 0.963847i | \(0.585853\pi\) | |||||||
\(720\) | −1.10779 | − | 1.38913i | −0.0412850 | − | 0.0517697i | ||||
\(721\) | −18.4172 | + | 13.0920i | −0.685891 | + | 0.487572i | ||||
\(722\) | −11.5120 | + | 14.4357i | −0.428434 | + | 0.537239i | ||||
\(723\) | −28.8680 | + | 8.90460i | −1.07361 | + | 0.331166i | ||||
\(724\) | 2.38492 | + | 6.07668i | 0.0886348 | + | 0.225838i | ||||
\(725\) | 1.72178 | − | 22.9755i | 0.0639452 | − | 0.853290i | ||||
\(726\) | −4.26180 | + | 10.8589i | −0.158170 | + | 0.403011i | ||||
\(727\) | −20.3186 | − | 9.78494i | −0.753577 | − | 0.362903i | 0.0173315 | − | 0.999850i | \(-0.494483\pi\) |
−0.770908 | + | 0.636946i | \(0.780197\pi\) | |||||||
\(728\) | −10.1589 | − | 6.63868i | −0.376515 | − | 0.246046i | ||||
\(729\) | −17.7053 | + | 8.52644i | −0.655753 | + | 0.315794i | ||||
\(730\) | 0.475525 | + | 6.34544i | 0.0176000 | + | 0.234855i | ||||
\(731\) | −24.2819 | − | 7.48998i | −0.898099 | − | 0.277027i | ||||
\(732\) | −1.33627 | + | 0.911055i | −0.0493901 | + | 0.0336736i | ||||
\(733\) | 5.93565 | + | 0.894655i | 0.219238 | + | 0.0330448i | 0.257743 | − | 0.966214i | \(-0.417021\pi\) |
−0.0385045 | + | 0.999258i | \(0.512259\pi\) | |||||||
\(734\) | −2.63428 | −0.0972329 | ||||||||
\(735\) | 8.03956 | − | 1.53580i | 0.296544 | − | 0.0566490i | ||||
\(736\) | 2.25767 | 0.0832190 | ||||||||
\(737\) | 44.2233 | + | 6.66559i | 1.62899 | + | 0.245530i | ||||
\(738\) | 9.99680 | − | 6.81570i | 0.367987 | − | 0.250889i | ||||
\(739\) | 28.8139 | + | 8.88792i | 1.05994 | + | 0.326948i | 0.775238 | − | 0.631669i | \(-0.217630\pi\) |
0.284700 | + | 0.958617i | \(0.408106\pi\) | |||||||
\(740\) | 0.263742 | + | 3.51939i | 0.00969535 | + | 0.129375i | ||||
\(741\) | 3.42407 | − | 1.64895i | 0.125786 | − | 0.0605756i | ||||
\(742\) | 1.16523 | + | 12.3097i | 0.0427769 | + | 0.451903i | ||||
\(743\) | 12.9716 | + | 6.24681i | 0.475883 | + | 0.229173i | 0.656421 | − | 0.754395i | \(-0.272069\pi\) |
−0.180538 | + | 0.983568i | \(0.557784\pi\) | |||||||
\(744\) | −1.40151 | + | 3.57100i | −0.0513819 | + | 0.130919i | ||||
\(745\) | 0.361148 | − | 4.81919i | 0.0132314 | − | 0.176561i | ||||
\(746\) | 2.28847 | + | 5.83093i | 0.0837869 | + | 0.213486i | ||||
\(747\) | 8.16529 | − | 2.51866i | 0.298752 | − | 0.0921529i | ||||
\(748\) | 18.7657 | − | 23.5315i | 0.686143 | − | 0.860396i | ||||
\(749\) | 19.2969 | − | 3.29612i | 0.705093 | − | 0.120437i | ||||
\(750\) | 6.51192 | + | 8.16570i | 0.237782 | + | 0.298169i | ||||
\(751\) | −0.577392 | − | 0.393659i | −0.0210693 | − | 0.0143648i | 0.552740 | − | 0.833354i | \(-0.313582\pi\) |
−0.573809 | + | 0.818989i | \(0.694535\pi\) | |||||||
\(752\) | 2.00576 | + | 1.86108i | 0.0731427 | + | 0.0678665i | ||||
\(753\) | −1.61775 | + | 2.80202i | −0.0589539 | + | 0.102111i | ||||
\(754\) | 13.4376 | + | 23.2747i | 0.489370 | + | 0.847614i | ||||
\(755\) | 4.62669 | − | 20.2708i | 0.168382 | − | 0.737731i | ||||
\(756\) | 12.6080 | − | 6.37873i | 0.458549 | − | 0.231992i | ||||
\(757\) | −0.0310433 | − | 0.136009i | −0.00112829 | − | 0.00494335i | 0.974361 | − | 0.224992i | \(-0.0722356\pi\) |
−0.975489 | + | 0.220049i | \(0.929378\pi\) | |||||||
\(758\) | −12.3066 | + | 11.4189i | −0.446998 | + | 0.414753i | ||||
\(759\) | 11.6614 | − | 1.75768i | 0.423283 | − | 0.0637997i | ||||
\(760\) | −0.748128 | + | 0.112762i | −0.0271375 | + | 0.00409031i | ||||
\(761\) | 18.6896 | − | 17.3414i | 0.677497 | − | 0.628625i | −0.264445 | − | 0.964401i | \(-0.585189\pi\) |
0.941942 | + | 0.335776i | \(0.108998\pi\) | |||||||
\(762\) | 2.81985 | + | 12.3546i | 0.102152 | + | 0.447558i | ||||
\(763\) | −28.2841 | + | 36.9277i | −1.02395 | + | 1.33687i | ||||
\(764\) | 1.37660 | − | 6.03128i | 0.0498036 | − | 0.218204i | ||||
\(765\) | 5.79237 | + | 10.0327i | 0.209424 | + | 0.362733i | ||||
\(766\) | 16.0785 | − | 27.8488i | 0.580939 | − | 1.00622i | ||||
\(767\) | −19.5175 | − | 18.1096i | −0.704735 | − | 0.653898i | ||||
\(768\) | −0.934966 | − | 0.637449i | −0.0337377 | − | 0.0230019i | ||||
\(769\) | 18.0488 | + | 22.6324i | 0.650855 | + | 0.816146i | 0.992313 | − | 0.123750i | \(-0.0394922\pi\) |
−0.341458 | + | 0.939897i | \(0.610921\pi\) | |||||||
\(770\) | 9.41729 | + | 8.40094i | 0.339376 | + | 0.302749i | ||||
\(771\) | 17.3347 | − | 21.7371i | 0.624295 | − | 0.782841i | ||||
\(772\) | 15.8787 | − | 4.89793i | 0.571487 | − | 0.176280i | ||||
\(773\) | 8.29243 | + | 21.1288i | 0.298258 | + | 0.759949i | 0.998920 | + | 0.0464557i | \(0.0147926\pi\) |
−0.700663 | + | 0.713493i | \(0.747112\pi\) | |||||||
\(774\) | 0.500794 | − | 6.68263i | 0.0180007 | − | 0.240202i | ||||
\(775\) | −4.87026 | + | 12.4092i | −0.174945 | + | 0.445752i | ||||
\(776\) | 15.1640 | + | 7.30258i | 0.544355 | + | 0.262147i | ||||
\(777\) | −10.1394 | − | 1.32582i | −0.363751 | − | 0.0475636i | ||||
\(778\) | −1.97203 | + | 0.949681i | −0.0707008 | + | 0.0340477i | ||||
\(779\) | −0.385013 | − | 5.13765i | −0.0137945 | − | 0.184075i | ||||
\(780\) | −5.12505 | − | 1.58087i | −0.183506 | − | 0.0566041i | ||||
\(781\) | −58.4966 | + | 39.8823i | −2.09317 | + | 1.42710i | ||||
\(782\) | −14.5560 | − | 2.19396i | −0.520520 | − | 0.0784557i | ||||
\(783\) | −31.2912 | −1.11826 | ||||||||
\(784\) | −6.18305 | + | 3.28175i | −0.220823 | + | 0.117205i | ||||
\(785\) | −5.76653 | −0.205816 | ||||||||
\(786\) | 11.2922 | + | 1.70202i | 0.402779 | + | 0.0607091i | ||||
\(787\) | −5.57140 | + | 3.79852i | −0.198599 | + | 0.135402i | −0.658536 | − | 0.752549i | \(-0.728824\pi\) |
0.459938 | + | 0.887951i | \(0.347872\pi\) | |||||||
\(788\) | 7.40480 | + | 2.28408i | 0.263785 | + | 0.0813669i | ||||
\(789\) | 0.852483 | + | 11.3756i | 0.0303492 | + | 0.404982i | ||||
\(790\) | −14.0334 | + | 6.75811i | −0.499285 | + | 0.240443i | ||||
\(791\) | −6.63473 | + | 17.9295i | −0.235904 | + | 0.637498i | ||||
\(792\) | 7.15139 | + | 3.44393i | 0.254113 | + | 0.122375i | ||||
\(793\) | 2.39505 | − | 6.10249i | 0.0850507 | − | 0.216706i | ||||
\(794\) | −0.449806 | + | 6.00225i | −0.0159630 | + | 0.213012i | ||||
\(795\) | 1.99642 | + | 5.08678i | 0.0708056 | + | 0.180410i | ||||
\(796\) | −20.5612 | + | 6.34228i | −0.728772 | + | 0.224796i | ||||
\(797\) | −12.5335 | + | 15.7165i | −0.443959 | + | 0.556707i | −0.952582 | − | 0.304283i | \(-0.901583\pi\) |
0.508623 | + | 0.860989i | \(0.330155\pi\) | |||||||
\(798\) | 0.120991 | − | 2.18879i | 0.00428302 | − | 0.0774822i | ||||
\(799\) | −11.1233 | − | 13.9481i | −0.393512 | − | 0.493449i | ||||
\(800\) | −3.24901 | − | 2.21514i | −0.114870 | − | 0.0783169i | ||||
\(801\) | 22.3082 | + | 20.6990i | 0.788223 | + | 0.731364i | ||||
\(802\) | −0.409996 | + | 0.710134i | −0.0144775 | + | 0.0250757i | ||||
\(803\) | −14.2134 | − | 24.6184i | −0.501581 | − | 0.868765i | ||||
\(804\) | −2.43956 | + | 10.6884i | −0.0860366 | + | 0.376951i | ||||
\(805\) | 1.25537 | − | 6.04315i | 0.0442459 | − | 0.212993i | ||||
\(806\) | −3.46016 | − | 15.1599i | −0.121879 | − | 0.533986i | ||||
\(807\) | 19.0298 | − | 17.6570i | 0.669880 | − | 0.621558i | ||||
\(808\) | −9.51002 | + | 1.43340i | −0.334561 | + | 0.0504270i | ||||
\(809\) | 24.9698 | − | 3.76359i | 0.877891 | − | 0.132321i | 0.305392 | − | 0.952227i | \(-0.401212\pi\) |
0.572498 | + | 0.819906i | \(0.305974\pi\) | |||||||
\(810\) | 0.670226 | − | 0.621879i | 0.0235493 | − | 0.0218506i | ||||
\(811\) | −4.52257 | − | 19.8147i | −0.158809 | − | 0.695788i | −0.990148 | − | 0.140023i | \(-0.955282\pi\) |
0.831339 | − | 0.555765i | \(-0.187575\pi\) | |||||||
\(812\) | 15.4989 | − | 0.303485i | 0.543906 | − | 0.0106502i | ||||
\(813\) | 1.70838 | − | 7.48488i | 0.0599154 | − | 0.262506i | ||||
\(814\) | −7.88325 | − | 13.6542i | −0.276308 | − | 0.478579i | ||||
\(815\) | 8.83772 | − | 15.3074i | 0.309572 | − | 0.536194i | ||||
\(816\) | 5.40857 | + | 5.01842i | 0.189338 | + | 0.175680i | ||||
\(817\) | −2.35773 | − | 1.60747i | −0.0824865 | − | 0.0562383i | ||||
\(818\) | 9.48334 | + | 11.8917i | 0.331577 | + | 0.415785i | ||||
\(819\) | −10.0779 | + | 18.2725i | −0.352150 | + | 0.638491i | ||||
\(820\) | −4.53326 | + | 5.68452i | −0.158308 | + | 0.198512i | ||||
\(821\) | 19.8167 | − | 6.11265i | 0.691609 | − | 0.213333i | 0.0710264 | − | 0.997474i | \(-0.477373\pi\) |
0.620582 | + | 0.784141i | \(0.286896\pi\) | |||||||
\(822\) | 0.766435 | + | 1.95284i | 0.0267325 | + | 0.0681133i | ||||
\(823\) | −1.39303 | + | 18.5887i | −0.0485581 | + | 0.647963i | 0.918828 | + | 0.394658i | \(0.129137\pi\) |
−0.967386 | + | 0.253305i | \(0.918482\pi\) | |||||||
\(824\) | 3.12023 | − | 7.95022i | 0.108698 | − | 0.276959i | ||||
\(825\) | −18.5065 | − | 8.91225i | −0.644313 | − | 0.310285i | ||||
\(826\) | −14.5838 | + | 4.81314i | −0.507435 | + | 0.167471i | ||||
\(827\) | 7.90249 | − | 3.80564i | 0.274797 | − | 0.132335i | −0.291410 | − | 0.956598i | \(-0.594125\pi\) |
0.566207 | + | 0.824263i | \(0.308410\pi\) | |||||||
\(828\) | −0.290107 | − | 3.87121i | −0.0100819 | − | 0.134534i | ||||
\(829\) | −33.0731 | − | 10.2017i | −1.14868 | − | 0.354320i | −0.338765 | − | 0.940871i | \(-0.610009\pi\) |
−0.809912 | + | 0.586551i | \(0.800485\pi\) | |||||||
\(830\) | −4.24267 | + | 2.89260i | −0.147265 | + | 0.100404i | ||||
\(831\) | −23.6121 | − | 3.55895i | −0.819095 | − | 0.123459i | ||||
\(832\) | 4.58687 | 0.159021 | ||||||||
\(833\) | 43.0533 | − | 15.1499i | 1.49171 | − | 0.524915i | ||||
\(834\) | −5.70948 | −0.197703 | ||||||||
\(835\) | −8.47295 | − | 1.27709i | −0.293218 | − | 0.0441956i | ||||
\(836\) | 2.79261 | − | 1.90397i | 0.0965846 | − | 0.0658502i | ||||
\(837\) | 17.3005 | + | 5.33649i | 0.597992 | + | 0.184456i | ||||
\(838\) | −1.79326 | − | 23.9294i | −0.0619471 | − | 0.826627i | ||||
\(839\) | 46.6215 | − | 22.4517i | 1.60955 | − | 0.775119i | 0.609705 | − | 0.792629i | \(-0.291288\pi\) |
0.999847 | + | 0.0175095i | \(0.00557372\pi\) | |||||||
\(840\) | −2.22615 | + | 2.14819i | −0.0768095 | + | 0.0741195i | ||||
\(841\) | −4.80210 | − | 2.31257i | −0.165589 | − | 0.0797437i | ||||
\(842\) | −3.32713 | + | 8.47738i | −0.114660 | + | 0.292150i | ||||
\(843\) | −1.15159 | + | 15.3668i | −0.0396627 | + | 0.529262i | ||||
\(844\) | −7.07645 | − | 18.0305i | −0.243582 | − | 0.620636i | ||||
\(845\) | 7.93806 | − | 2.44857i | 0.273077 | − | 0.0842332i | ||||
\(846\) | 2.93343 | − | 3.67841i | 0.100853 | − | 0.126466i | ||||
\(847\) | −26.2150 | − | 7.52746i | −0.900757 | − | 0.258647i | ||||
\(848\) | −2.91383 | − | 3.65383i | −0.100061 | − | 0.125473i | ||||
\(849\) | −20.0827 | − | 13.6921i | −0.689236 | − | 0.469913i | ||||
\(850\) | 18.7948 | + | 17.4390i | 0.644656 | + | 0.598153i | ||||
\(851\) | −3.85556 | + | 6.67803i | −0.132167 | + | 0.228920i | ||||
\(852\) | −8.67774 | − | 15.0303i | −0.297295 | − | 0.514929i | ||||
\(853\) | −3.14524 | + | 13.7802i | −0.107691 | + | 0.471825i | 0.892109 | + | 0.451820i | \(0.149225\pi\) |
−0.999800 | + | 0.0200044i | \(0.993632\pi\) | |||||||
\(854\) | −2.41507 | − | 2.90967i | −0.0826419 | − | 0.0995667i | ||||
\(855\) | 0.289485 | + | 1.26832i | 0.00990019 | + | 0.0433756i | ||||
\(856\) | −5.42398 | + | 5.03271i | −0.185388 | + | 0.172015i | ||||
\(857\) | −16.6017 | + | 2.50231i | −0.567104 | + | 0.0854771i | −0.426335 | − | 0.904565i | \(-0.640195\pi\) |
−0.140769 | + | 0.990043i | \(0.544957\pi\) | |||||||
\(858\) | 23.6923 | − | 3.57104i | 0.808842 | − | 0.121913i | ||||
\(859\) | 5.56685 | − | 5.16528i | 0.189939 | − | 0.176237i | −0.579471 | − | 0.814993i | \(-0.696741\pi\) |
0.769410 | + | 0.638755i | \(0.220550\pi\) | |||||||
\(860\) | 0.896107 | + | 3.92610i | 0.0305570 | + | 0.133879i | ||||
\(861\) | −13.4547 | − | 16.2102i | −0.458534 | − | 0.552441i | ||||
\(862\) | −3.60242 | + | 15.7832i | −0.122699 | + | 0.537579i | ||||
\(863\) | −4.34851 | − | 7.53184i | −0.148025 | − | 0.256387i | 0.782473 | − | 0.622685i | \(-0.213958\pi\) |
−0.930497 | + | 0.366298i | \(0.880625\pi\) | |||||||
\(864\) | −2.67027 | + | 4.62505i | −0.0908446 | + | 0.157347i | ||||
\(865\) | −10.1742 | − | 9.44030i | −0.345934 | − | 0.320980i | ||||
\(866\) | 17.1870 | + | 11.7179i | 0.584039 | + | 0.398191i | ||||
\(867\) | −17.9999 | − | 22.5711i | −0.611308 | − | 0.766556i | ||||
\(868\) | −8.62091 | − | 2.47544i | −0.292613 | − | 0.0840220i | ||||
\(869\) | 43.3843 | − | 54.4022i | 1.47171 | − | 1.84547i | ||||
\(870\) | 6.54663 | − | 2.01937i | 0.221951 | − | 0.0684629i | ||||
\(871\) | −16.2355 | − | 41.3674i | −0.550119 | − | 1.40168i | ||||
\(872\) | 1.31383 | − | 17.5319i | 0.0444920 | − | 0.593704i | ||||
\(873\) | 10.5731 | − | 26.9399i | 0.357846 | − | 0.911777i | ||||
\(874\) | −1.48935 | − | 0.717235i | −0.0503781 | − | 0.0242608i | ||||
\(875\) | −17.5723 | + | 16.9568i | −0.594051 | + | 0.573245i | ||||
\(876\) | 6.27842 | − | 3.02353i | 0.212128 | − | 0.102156i | ||||
\(877\) | −0.0576947 | − | 0.769883i | −0.00194821 | − | 0.0259971i | 0.996145 | − | 0.0877223i | \(-0.0279588\pi\) |
−0.998093 | + | 0.0617252i | \(0.980340\pi\) | |||||||
\(878\) | −23.6764 | − | 7.30321i | −0.799041 | − | 0.246472i | ||||
\(879\) | −11.2302 | + | 7.65661i | −0.378785 | + | 0.258251i | ||||
\(880\) | −4.71659 | − | 0.710911i | −0.158996 | − | 0.0239648i | ||||
\(881\) | −57.1026 | −1.92384 | −0.961918 | − | 0.273339i | \(-0.911872\pi\) | ||||
−0.961918 | + | 0.273339i | \(0.911872\pi\) | |||||||
\(882\) | 6.42170 | + | 10.1803i | 0.216230 | + | 0.342789i | ||||
\(883\) | −13.7570 | −0.462961 | −0.231480 | − | 0.972840i | \(-0.574357\pi\) | ||||
−0.231480 | + | 0.972840i | \(0.574357\pi\) | |||||||
\(884\) | −29.5730 | − | 4.45742i | −0.994649 | − | 0.149919i | ||||
\(885\) | −5.60783 | + | 3.82335i | −0.188505 | + | 0.128521i | ||||
\(886\) | −4.56401 | − | 1.40781i | −0.153331 | − | 0.0472963i | ||||
\(887\) | −0.871623 | − | 11.6310i | −0.0292663 | − | 0.390531i | −0.992532 | − | 0.121982i | \(-0.961075\pi\) |
0.963266 | − | 0.268549i | \(-0.0865441\pi\) | |||||||
\(888\) | 3.48222 | − | 1.67695i | 0.116856 | − | 0.0562747i | ||||
\(889\) | −28.1360 | + | 9.28584i | −0.943653 | + | 0.311437i | ||||
\(890\) | −16.4765 | − | 7.93468i | −0.552295 | − | 0.265971i | ||||
\(891\) | −1.49223 | + | 3.80214i | −0.0499917 | + | 0.127377i | ||||
\(892\) | 0.371049 | − | 4.95131i | 0.0124236 | − | 0.165782i | ||||
\(893\) | −0.731931 | − | 1.86493i | −0.0244931 | − | 0.0624075i | ||||
\(894\) | −5.05727 | + | 1.55996i | −0.169140 | + | 0.0521729i | ||||
\(895\) | 7.41206 | − | 9.29443i | 0.247758 | − | 0.310679i | ||||
\(896\) | 1.27777 | − | 2.31675i | 0.0426871 | − | 0.0773971i | ||||
\(897\) | −7.30629 | − | 9.16180i | −0.243950 | − | 0.305904i | ||||
\(898\) | 19.1244 | + | 13.0388i | 0.638190 | + | 0.435110i | ||||
\(899\) | 14.5606 | + | 13.5103i | 0.485624 | + | 0.450593i | ||||
\(900\) | −3.38078 | + | 5.85568i | −0.112693 | + | 0.195189i | ||||
\(901\) | 15.2357 | + | 26.3890i | 0.507575 | + | 0.879146i | ||||
\(902\) | 7.22775 | − | 31.6668i | 0.240658 | − | 1.05439i | ||||
\(903\) | −11.6659 | + | 0.228429i | −0.388216 | + | 0.00760165i | ||||
\(904\) | −1.60789 | − | 7.04464i | −0.0534777 | − | 0.234301i | ||||
\(905\) | −4.94467 | + | 4.58798i | −0.164366 | + | 0.152510i | ||||
\(906\) | −22.5156 | + | 3.39368i | −0.748031 | + | 0.112748i | ||||
\(907\) | 54.2318 | − | 8.17413i | 1.80074 | − | 0.271418i | 0.838751 | − | 0.544515i | \(-0.183286\pi\) |
0.961986 | + | 0.273097i | \(0.0880481\pi\) | |||||||
\(908\) | 9.36114 | − | 8.68587i | 0.310660 | − | 0.288251i | ||||
\(909\) | 3.67987 | + | 16.1226i | 0.122053 | + | 0.534751i | ||||
\(910\) | 2.55051 | − | 12.2778i | 0.0845485 | − | 0.407003i | ||||
\(911\) | 7.97454 | − | 34.9387i | 0.264208 | − | 1.15757i | −0.652429 | − | 0.757850i | \(-0.726250\pi\) |
0.916637 | − | 0.399721i | \(-0.130893\pi\) | |||||||
\(912\) | 0.414273 | + | 0.717542i | 0.0137180 | + | 0.0237602i | ||||
\(913\) | 11.4698 | − | 19.8662i | 0.379594 | − | 0.657476i | ||||
\(914\) | −8.11310 | − | 7.52785i | −0.268357 | − | 0.248999i | ||||
\(915\) | −1.38077 | − | 0.941395i | −0.0456470 | − | 0.0311216i | ||||
\(916\) | −15.6567 | − | 19.6328i | −0.517311 | − | 0.648687i | ||||
\(917\) | −1.47367 | + | 26.6595i | −0.0486650 | + | 0.880375i | ||||
\(918\) | 21.7106 | − | 27.2243i | 0.716558 | − | 0.898535i | ||||
\(919\) | −10.2351 | + | 3.15710i | −0.337623 | + | 0.104143i | −0.458931 | − | 0.888472i | \(-0.651767\pi\) |
0.121307 | + | 0.992615i | \(0.461291\pi\) | |||||||
\(920\) | 0.852289 | + | 2.17160i | 0.0280991 | + | 0.0715955i | ||||
\(921\) | 2.29557 | − | 30.6323i | 0.0756418 | − | 1.00937i | ||||
\(922\) | −0.437218 | + | 1.11401i | −0.0143990 | + | 0.0366881i | ||||
\(923\) | 63.3831 | + | 30.5237i | 2.08628 | + | 1.00470i | ||||
\(924\) | 4.79630 | − | 12.9613i | 0.157787 | − | 0.426397i | ||||
\(925\) | 12.1007 | − | 5.82740i | 0.397869 | − | 0.191604i | ||||
\(926\) | 0.885090 | + | 11.8107i | 0.0290859 | + | 0.388124i | ||||
\(927\) | −14.0331 | − | 4.32864i | −0.460908 | − | 0.142171i | ||||
\(928\) | −4.84108 | + | 3.30059i | −0.158916 | + | 0.108347i | ||||
\(929\) | −4.60409 | − | 0.693956i | −0.151055 | − | 0.0227679i | 0.0730791 | − | 0.997326i | \(-0.476717\pi\) |
−0.224135 | + | 0.974558i | \(0.571956\pi\) | |||||||
\(930\) | −3.96393 | −0.129982 | ||||||||
\(931\) | 5.12143 | − | 0.200642i | 0.167848 | − | 0.00657579i | ||||
\(932\) | −0.606555 | −0.0198684 | ||||||||
\(933\) | 12.0390 | + | 1.81459i | 0.394140 | + | 0.0594071i | ||||
\(934\) | −17.3099 | + | 11.8017i | −0.566399 | + | 0.386164i | ||||
\(935\) | 29.7185 | + | 9.16695i | 0.971899 | + | 0.299791i | ||||
\(936\) | −0.589405 | − | 7.86506i | −0.0192653 | − | 0.257078i | ||||
\(937\) | 4.06784 | − | 1.95897i | 0.132891 | − | 0.0639967i | −0.366257 | − | 0.930514i | \(-0.619361\pi\) |
0.499148 | + | 0.866517i | \(0.333647\pi\) | |||||||
\(938\) | −25.4166 | − | 3.32345i | −0.829883 | − | 0.108515i | ||||
\(939\) | 4.69377 | + | 2.26040i | 0.153175 | + | 0.0737654i | ||||
\(940\) | −1.03293 | + | 2.63186i | −0.0336904 | + | 0.0858419i | ||||
\(941\) | −0.976766 | + | 13.0340i | −0.0318416 | + | 0.424897i | 0.958390 | + | 0.285463i | \(0.0921474\pi\) |
−0.990231 | + | 0.139434i | \(0.955472\pi\) | |||||||
\(942\) | 2.30715 | + | 5.87852i | 0.0751709 | + | 0.191532i | ||||
\(943\) | −15.1802 | + | 4.68248i | −0.494337 | + | 0.152483i | ||||
\(944\) | 3.61911 | − | 4.53822i | 0.117792 | − | 0.147706i | ||||
\(945\) | 10.8952 | + | 9.71930i | 0.354419 | + | 0.316169i | ||||
\(946\) | −11.2168 | − | 14.0654i | −0.364690 | − | 0.457307i | ||||
\(947\) | 19.0095 | + | 12.9605i | 0.617726 | + | 0.421159i | 0.831344 | − | 0.555759i | \(-0.187572\pi\) |
−0.213617 | + | 0.976917i | \(0.568525\pi\) | |||||||
\(948\) | 12.5040 | + | 11.6020i | 0.406112 | + | 0.376816i | ||||
\(949\) | −14.1233 | + | 24.4623i | −0.458463 | + | 0.794081i | ||||
\(950\) | 1.43960 | + | 2.49346i | 0.0467068 | + | 0.0808985i | ||||
\(951\) | −0.488087 | + | 2.13845i | −0.0158273 | + | 0.0693439i | ||||
\(952\) | −10.4895 | + | 13.6951i | −0.339967 | + | 0.443861i | ||||
\(953\) | 4.08630 | + | 17.9033i | 0.132368 | + | 0.579944i | 0.996991 | + | 0.0775212i | \(0.0247006\pi\) |
−0.864622 | + | 0.502422i | \(0.832442\pi\) | |||||||
\(954\) | −5.89077 | + | 5.46583i | −0.190721 | + | 0.176963i | ||||
\(955\) | 6.32100 | − | 0.952738i | 0.204543 | − | 0.0308299i | ||||
\(956\) | −0.241176 | + | 0.0363514i | −0.00780019 | + | 0.00117569i | ||||
\(957\) | −22.4357 | + | 20.8173i | −0.725243 | + | 0.672928i | ||||
\(958\) | 1.04227 | + | 4.56650i | 0.0336743 | + | 0.147537i | ||||
\(959\) | −4.37671 | + | 2.21429i | −0.141331 | + | 0.0715032i | ||||
\(960\) | 0.260189 | − | 1.13996i | 0.00839755 | − | 0.0367921i | ||||
\(961\) | 9.75372 | + | 16.8939i | 0.314636 | + | 0.544966i | ||||
\(962\) | −7.83327 | + | 13.5676i | −0.252555 | + | 0.437438i | ||||
\(963\) | 9.32652 | + | 8.65374i | 0.300543 | + | 0.278863i | ||||
\(964\) | 22.0581 | + | 15.0390i | 0.710445 | + | 0.484373i | ||||
\(965\) | 10.7055 | + | 13.4243i | 0.344623 | + | 0.432144i | ||||
\(966\) | −6.66278 | + | 1.13807i | −0.214371 | + | 0.0366170i | ||||
\(967\) | −32.3871 | + | 40.6121i | −1.04150 | + | 1.30600i | −0.0908050 | + | 0.995869i | \(0.528944\pi\) |
−0.950694 | + | 0.310130i | \(0.899627\pi\) | |||||||
\(968\) | 9.85072 | − | 3.03855i | 0.316614 | − | 0.0976626i | ||||
\(969\) | −1.97366 | − | 5.02881i | −0.0634031 | − | 0.161549i | ||||
\(970\) | −1.29965 | + | 17.3426i | −0.0417292 | + | 0.556838i | ||||
\(971\) | −17.8742 | + | 45.5427i | −0.573610 | + | 1.46153i | 0.289828 | + | 0.957079i | \(0.406402\pi\) |
−0.863438 | + | 0.504455i | \(0.831693\pi\) | |||||||
\(972\) | 13.5329 | + | 6.51710i | 0.434068 | + | 0.209036i | ||||
\(973\) | −1.25801 | − | 13.2898i | −0.0403298 | − | 0.426052i | ||||
\(974\) | −4.04344 | + | 1.94722i | −0.129560 | + | 0.0623930i | ||||
\(975\) | 1.52527 | + | 20.3533i | 0.0488478 | + | 0.651829i | ||||
\(976\) | 1.36572 | + | 0.421270i | 0.0437158 | + | 0.0134845i | ||||
\(977\) | −3.54412 | + | 2.41634i | −0.113386 | + | 0.0773055i | −0.618686 | − | 0.785639i | \(-0.712335\pi\) |
0.505299 | + | 0.862944i | \(0.331382\pi\) | |||||||
\(978\) | −19.1406 | − | 2.88498i | −0.612048 | − | 0.0922514i | ||||
\(979\) | 81.6973 | 2.61106 | ||||||||
\(980\) | −5.49078 | − | 4.70843i | −0.175396 | − | 0.150405i | ||||
\(981\) | −30.2306 | −0.965188 | ||||||||
\(982\) | 31.6418 | + | 4.76923i | 1.00973 | + | 0.152192i | ||||
\(983\) | 0.669700 | − | 0.456594i | 0.0213601 | − | 0.0145631i | −0.552593 | − | 0.833451i | \(-0.686362\pi\) |
0.573953 | + | 0.818888i | \(0.305409\pi\) | |||||||
\(984\) | 7.60865 | + | 2.34696i | 0.242555 | + | 0.0748182i | ||||
\(985\) | 0.598374 | + | 7.98474i | 0.0190658 | + | 0.254415i | ||||
\(986\) | 34.4194 | − | 16.5755i | 1.09614 | − | 0.527872i | ||||
\(987\) | −6.85750 | − | 4.48126i | −0.218277 | − | 0.142640i | ||||
\(988\) | −3.02589 | − | 1.45719i | −0.0962664 | − | 0.0463594i | ||||
\(989\) | −3.21456 | + | 8.19056i | −0.102217 | + | 0.260445i | ||||
\(990\) | −0.612919 | + | 8.17884i | −0.0194799 | + | 0.259941i | ||||
\(991\) | 1.20520 | + | 3.07080i | 0.0382845 | + | 0.0975472i | 0.948737 | − | 0.316066i | \(-0.102362\pi\) |
−0.910453 | + | 0.413613i | \(0.864267\pi\) | |||||||
\(992\) | 3.23946 | − | 0.999240i | 0.102853 | − | 0.0317259i | ||||
\(993\) | 6.03914 | − | 7.57284i | 0.191646 | − | 0.240317i | ||||
\(994\) | 33.0736 | − | 23.5107i | 1.04903 | − | 0.745713i | ||||
\(995\) | −13.8625 | − | 17.3830i | −0.439470 | − | 0.551078i | ||||
\(996\) | 4.64624 | + | 3.16775i | 0.147222 | + | 0.100374i | ||||
\(997\) | −33.1432 | − | 30.7524i | −1.04966 | − | 0.973939i | −0.0499650 | − | 0.998751i | \(-0.515911\pi\) |
−0.999692 | + | 0.0248115i | \(0.992101\pi\) | |||||||
\(998\) | −3.85611 | + | 6.67897i | −0.122063 | + | 0.211419i | ||||
\(999\) | −9.12037 | − | 15.7969i | −0.288556 | − | 0.499793i |
(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 | 98.2.g.b.39.1 | ✓ | 24 | |
3.2 | odd | 2 | 882.2.z.b.235.2 | 24 | |||
4.3 | odd | 2 | 784.2.bg.b.529.2 | 24 | |||
7.2 | even | 3 | 686.2.g.f.569.1 | 24 | |||
7.3 | odd | 6 | 686.2.e.d.295.1 | 24 | |||
7.4 | even | 3 | 686.2.e.c.295.4 | 24 | |||
7.5 | odd | 6 | 686.2.g.d.569.2 | 24 | |||
7.6 | odd | 2 | 686.2.g.e.165.2 | 24 | |||
49.3 | odd | 42 | 686.2.e.d.393.1 | 24 | |||
49.5 | odd | 42 | 686.2.g.e.79.2 | 24 | |||
49.8 | even | 7 | 686.2.g.f.557.1 | 24 | |||
49.17 | odd | 42 | 4802.2.a.l.1.10 | 12 | |||
49.32 | even | 21 | 4802.2.a.o.1.3 | 12 | |||
49.41 | odd | 14 | 686.2.g.d.557.2 | 24 | |||
49.44 | even | 21 | inner | 98.2.g.b.93.1 | yes | 24 | |
49.46 | even | 21 | 686.2.e.c.393.4 | 24 | |||
147.44 | odd | 42 | 882.2.z.b.289.2 | 24 | |||
196.191 | odd | 42 | 784.2.bg.b.289.2 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
98.2.g.b.39.1 | ✓ | 24 | 1.1 | even | 1 | trivial | |
98.2.g.b.93.1 | yes | 24 | 49.44 | even | 21 | inner | |
686.2.e.c.295.4 | 24 | 7.4 | even | 3 | |||
686.2.e.c.393.4 | 24 | 49.46 | even | 21 | |||
686.2.e.d.295.1 | 24 | 7.3 | odd | 6 | |||
686.2.e.d.393.1 | 24 | 49.3 | odd | 42 | |||
686.2.g.d.557.2 | 24 | 49.41 | odd | 14 | |||
686.2.g.d.569.2 | 24 | 7.5 | odd | 6 | |||
686.2.g.e.79.2 | 24 | 49.5 | odd | 42 | |||
686.2.g.e.165.2 | 24 | 7.6 | odd | 2 | |||
686.2.g.f.557.1 | 24 | 49.8 | even | 7 | |||
686.2.g.f.569.1 | 24 | 7.2 | even | 3 | |||
784.2.bg.b.289.2 | 24 | 196.191 | odd | 42 | |||
784.2.bg.b.529.2 | 24 | 4.3 | odd | 2 | |||
882.2.z.b.235.2 | 24 | 3.2 | odd | 2 | |||
882.2.z.b.289.2 | 24 | 147.44 | odd | 42 | |||
4802.2.a.l.1.10 | 12 | 49.17 | odd | 42 | |||
4802.2.a.o.1.3 | 12 | 49.32 | even | 21 |