Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(431,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.431");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.l (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(264\) |
Relative dimension: | \(132\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 431.9 | ||
Character | \(\chi\) | \(=\) | 804.431 |
Dual form | 804.2.l.a.707.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39349 | − | 0.241196i | −0.985349 | − | 0.170551i | ||||
\(3\) | 1.40279 | + | 1.01597i | 0.809899 | + | 0.586570i | ||||
\(4\) | 1.88365 | + | 0.672210i | 0.941825 | + | 0.336105i | ||||
\(5\) | 2.69591i | 1.20565i | 0.797875 | + | 0.602823i | \(0.205957\pi\) | ||||
−0.797875 | + | 0.602823i | \(0.794043\pi\) | |||||||
\(6\) | −1.70973 | − | 1.75409i | −0.697993 | − | 0.716105i | ||||
\(7\) | −2.30125 | + | 1.32862i | −0.869789 | + | 0.502173i | −0.867278 | − | 0.497824i | \(-0.834133\pi\) |
−0.00251083 | + | 0.999997i | \(0.500799\pi\) | |||||||
\(8\) | −2.46272 | − | 1.39105i | −0.870703 | − | 0.491810i | ||||
\(9\) | 0.935617 | + | 2.85037i | 0.311872 | + | 0.950124i | ||||
\(10\) | 0.650241 | − | 3.75673i | 0.205624 | − | 1.18798i | ||||
\(11\) | −1.81317 | − | 3.14050i | −0.546690 | − | 0.946895i | −0.998498 | − | 0.0547799i | \(-0.982554\pi\) |
0.451808 | − | 0.892115i | \(-0.350779\pi\) | |||||||
\(12\) | 1.95941 | + | 2.85669i | 0.565634 | + | 0.824657i | ||||
\(13\) | −1.62861 | + | 2.82084i | −0.451696 | + | 0.782360i | −0.998492 | − | 0.0549061i | \(-0.982514\pi\) |
0.546796 | + | 0.837266i | \(0.315847\pi\) | |||||||
\(14\) | 3.52723 | − | 1.29638i | 0.942692 | − | 0.346472i | ||||
\(15\) | −2.73895 | + | 3.78178i | −0.707195 | + | 0.976451i | ||||
\(16\) | 3.09627 | + | 2.53242i | 0.774067 | + | 0.633104i | ||||
\(17\) | −5.74370 | − | 3.31613i | −1.39305 | − | 0.804279i | −0.399400 | − | 0.916777i | \(-0.630782\pi\) |
−0.993652 | + | 0.112497i | \(0.964115\pi\) | |||||||
\(18\) | −0.616278 | − | 4.19764i | −0.145258 | − | 0.989394i | ||||
\(19\) | 2.90835 | + | 1.67914i | 0.667221 | + | 0.385220i | 0.795023 | − | 0.606579i | \(-0.207459\pi\) |
−0.127802 | + | 0.991800i | \(0.540792\pi\) | |||||||
\(20\) | −1.81221 | + | 5.07814i | −0.405223 | + | 1.13551i | ||||
\(21\) | −4.57799 | − | 0.474217i | −0.999000 | − | 0.103483i | ||||
\(22\) | 1.76916 | + | 4.81359i | 0.377186 | + | 1.02626i | ||||
\(23\) | 0.748332 | − | 1.29615i | 0.156038 | − | 0.270266i | −0.777399 | − | 0.629008i | \(-0.783461\pi\) |
0.933436 | + | 0.358743i | \(0.116794\pi\) | |||||||
\(24\) | −2.04141 | − | 4.45339i | −0.416700 | − | 0.909044i | ||||
\(25\) | −2.26790 | −0.453581 | ||||||||
\(26\) | 2.94984 | − | 3.53801i | 0.578510 | − | 0.693860i | ||||
\(27\) | −1.58342 | + | 4.94902i | −0.304729 | + | 0.952439i | ||||
\(28\) | −5.22785 | + | 0.955742i | −0.987971 | + | 0.180618i | ||||
\(29\) | −7.51302 | + | 4.33764i | −1.39513 | + | 0.805480i | −0.993878 | − | 0.110486i | \(-0.964759\pi\) |
−0.401255 | + | 0.915966i | \(0.631426\pi\) | |||||||
\(30\) | 4.72886 | − | 4.60926i | 0.863369 | − | 0.841532i | ||||
\(31\) | 1.29744 | − | 0.749075i | 0.233026 | − | 0.134538i | −0.378941 | − | 0.925421i | \(-0.623712\pi\) |
0.611967 | + | 0.790883i | \(0.290378\pi\) | |||||||
\(32\) | −3.70382 | − | 4.27571i | −0.654749 | − | 0.755846i | ||||
\(33\) | 0.647160 | − | 6.24756i | 0.112656 | − | 1.08756i | ||||
\(34\) | 7.20398 | + | 6.00636i | 1.23547 | + | 1.03008i | ||||
\(35\) | −3.58185 | − | 6.20394i | −0.605442 | − | 1.04866i | ||||
\(36\) | −0.153675 | + | 5.99803i | −0.0256126 | + | 0.999672i | ||||
\(37\) | −0.403643 | + | 0.699131i | −0.0663585 | + | 0.114936i | −0.897296 | − | 0.441430i | \(-0.854471\pi\) |
0.830937 | + | 0.556366i | \(0.187805\pi\) | |||||||
\(38\) | −3.64777 | − | 3.04135i | −0.591746 | − | 0.493372i | ||||
\(39\) | −5.15048 | + | 2.30241i | −0.824736 | + | 0.368681i | ||||
\(40\) | 3.75014 | − | 6.63926i | 0.592949 | − | 1.04976i | ||||
\(41\) | 5.57648 | − | 3.21958i | 0.870899 | − | 0.502814i | 0.00325234 | − | 0.999995i | \(-0.498965\pi\) |
0.867647 | + | 0.497181i | \(0.165631\pi\) | |||||||
\(42\) | 6.26503 | + | 1.76501i | 0.966715 | + | 0.272347i | ||||
\(43\) | − | 6.46571i | − | 0.986012i | −0.870026 | − | 0.493006i | \(-0.835898\pi\) | ||
0.870026 | − | 0.493006i | \(-0.164102\pi\) | |||||||
\(44\) | −1.30430 | − | 7.13442i | −0.196630 | − | 1.07555i | ||||
\(45\) | −7.68433 | + | 2.52233i | −1.14551 | + | 0.376007i | ||||
\(46\) | −1.35542 | + | 1.62568i | −0.199846 | + | 0.239694i | ||||
\(47\) | 2.55148 | + | 4.41929i | 0.372171 | + | 0.644620i | 0.989899 | − | 0.141772i | \(-0.0452800\pi\) |
−0.617728 | + | 0.786392i | \(0.711947\pi\) | |||||||
\(48\) | 1.77055 | + | 6.69815i | 0.255556 | + | 0.966794i | ||||
\(49\) | 0.0304862 | − | 0.0528036i | 0.00435517 | − | 0.00754338i | ||||
\(50\) | 3.16031 | + | 0.547009i | 0.446935 | + | 0.0773588i | ||||
\(51\) | −4.68810 | − | 10.4872i | −0.656466 | − | 1.46851i | ||||
\(52\) | −4.96393 | + | 4.21870i | −0.688373 | + | 0.585029i | ||||
\(53\) | − | 3.44533i | − | 0.473253i | −0.971601 | − | 0.236626i | \(-0.923958\pi\) | ||
0.971601 | − | 0.236626i | \(-0.0760417\pi\) | |||||||
\(54\) | 3.40017 | − | 6.51451i | 0.462704 | − | 0.886513i | ||||
\(55\) | 8.46648 | − | 4.88812i | 1.14162 | − | 0.659114i | ||||
\(56\) | 7.51550 | − | 0.0708840i | 1.00430 | − | 0.00947228i | ||||
\(57\) | 2.37384 | + | 5.31026i | 0.314423 | + | 0.703361i | ||||
\(58\) | 11.5156 | − | 4.23237i | 1.51207 | − | 0.555737i | ||||
\(59\) | 8.67316 | 1.12915 | 0.564575 | − | 0.825382i | \(-0.309040\pi\) | ||||
0.564575 | + | 0.825382i | \(0.309040\pi\) | |||||||
\(60\) | −7.70138 | + | 5.28239i | −0.994244 | + | 0.681954i | ||||
\(61\) | −2.11204 | + | 3.65817i | −0.270420 | + | 0.468380i | −0.968969 | − | 0.247181i | \(-0.920496\pi\) |
0.698550 | + | 0.715561i | \(0.253829\pi\) | |||||||
\(62\) | −1.98864 | + | 0.730895i | −0.252558 | + | 0.0928238i | ||||
\(63\) | −5.94016 | − | 5.31632i | −0.748389 | − | 0.669794i | ||||
\(64\) | 4.12997 | + | 6.85152i | 0.516246 | + | 0.856440i | ||||
\(65\) | −7.60471 | − | 4.39058i | −0.943249 | − | 0.544585i | ||||
\(66\) | −2.40870 | + | 8.54984i | −0.296491 | + | 1.05241i | ||||
\(67\) | −6.46115 | − | 5.02528i | −0.789356 | − | 0.613936i | ||||
\(68\) | −8.58998 | − | 10.1074i | −1.04169 | − | 1.22570i | ||||
\(69\) | 2.36660 | − | 1.05794i | 0.284905 | − | 0.127361i | ||||
\(70\) | 3.49491 | + | 9.50908i | 0.417722 | + | 1.13655i | ||||
\(71\) | 2.90810 | + | 5.03697i | 0.345127 | + | 0.597778i | 0.985377 | − | 0.170389i | \(-0.0545024\pi\) |
−0.640249 | + | 0.768167i | \(0.721169\pi\) | |||||||
\(72\) | 1.66085 | − | 8.32115i | 0.195733 | − | 0.980657i | ||||
\(73\) | −3.55746 | + | 6.16170i | −0.416369 | + | 0.721172i | −0.995571 | − | 0.0940117i | \(-0.970031\pi\) |
0.579202 | + | 0.815184i | \(0.303364\pi\) | |||||||
\(74\) | 0.731102 | − | 0.876877i | 0.0849888 | − | 0.101935i | ||||
\(75\) | −3.18138 | − | 2.30412i | −0.367355 | − | 0.266057i | ||||
\(76\) | 4.34958 | + | 5.11793i | 0.498931 | + | 0.587066i | ||||
\(77\) | 8.34508 | + | 4.81803i | 0.951010 | + | 0.549066i | ||||
\(78\) | 7.73249 | − | 1.96613i | 0.875532 | − | 0.222620i | ||||
\(79\) | 6.69700 | − | 3.86652i | 0.753472 | − | 0.435017i | −0.0734752 | − | 0.997297i | \(-0.523409\pi\) |
0.826947 | + | 0.562280i | \(0.190076\pi\) | |||||||
\(80\) | −6.82715 | + | 8.34724i | −0.763299 | + | 0.933250i | ||||
\(81\) | −7.24924 | + | 5.33371i | −0.805471 | + | 0.592635i | ||||
\(82\) | −8.54733 | + | 3.14144i | −0.943895 | + | 0.346914i | ||||
\(83\) | −3.57387 | + | 6.19012i | −0.392283 | + | 0.679454i | −0.992750 | − | 0.120195i | \(-0.961648\pi\) |
0.600467 | + | 0.799649i | \(0.294981\pi\) | |||||||
\(84\) | −8.30456 | − | 3.97063i | −0.906102 | − | 0.433231i | ||||
\(85\) | 8.93997 | − | 15.4845i | 0.969676 | − | 1.67953i | ||||
\(86\) | −1.55950 | + | 9.00993i | −0.168166 | + | 0.971565i | ||||
\(87\) | −14.9461 | − | 1.54820i | −1.60239 | − | 0.165985i | ||||
\(88\) | 0.0967350 | + | 10.2564i | 0.0103120 | + | 1.09333i | ||||
\(89\) | 15.3183i | 1.62374i | 0.583841 | + | 0.811868i | \(0.301549\pi\) | ||||
−0.583841 | + | 0.811868i | \(0.698451\pi\) | |||||||
\(90\) | 11.3164 | − | 1.66143i | 1.19286 | − | 0.175130i | ||||
\(91\) | − | 8.65526i | − | 0.907317i | ||||||
\(92\) | 2.28088 | − | 1.93845i | 0.237798 | − | 0.202098i | ||||
\(93\) | 2.58106 | + | 0.267362i | 0.267644 | + | 0.0277242i | ||||
\(94\) | −2.48955 | − | 6.77366i | −0.256778 | − | 0.698650i | ||||
\(95\) | −4.52679 | + | 7.84064i | −0.464439 | + | 0.804432i | ||||
\(96\) | −0.851680 | − | 9.76087i | −0.0869242 | − | 0.996215i | ||||
\(97\) | −8.07260 | + | 13.9821i | −0.819648 | + | 1.41967i | 0.0862938 | + | 0.996270i | \(0.472498\pi\) |
−0.905942 | + | 0.423402i | \(0.860836\pi\) | |||||||
\(98\) | −0.0552183 | + | 0.0662284i | −0.00557789 | + | 0.00669008i | ||||
\(99\) | 7.25515 | − | 8.10650i | 0.729170 | − | 0.814734i | ||||
\(100\) | −4.27194 | − | 1.52451i | −0.427194 | − | 0.152451i | ||||
\(101\) | −13.0530 | + | 7.53614i | −1.29882 | + | 0.749874i | −0.980200 | − | 0.198008i | \(-0.936553\pi\) |
−0.318620 | + | 0.947882i | \(0.603219\pi\) | |||||||
\(102\) | 4.00336 | + | 15.7447i | 0.396392 | + | 1.55895i | ||||
\(103\) | −7.75882 | + | 4.47956i | −0.764499 | + | 0.441384i | −0.830909 | − | 0.556409i | \(-0.812179\pi\) |
0.0664097 | + | 0.997792i | \(0.478846\pi\) | |||||||
\(104\) | 7.93474 | − | 4.68145i | 0.778065 | − | 0.459054i | ||||
\(105\) | 1.27844 | − | 12.3418i | 0.124763 | − | 1.20444i | ||||
\(106\) | −0.831000 | + | 4.80105i | −0.0807139 | + | 0.466319i | ||||
\(107\) | −16.7910 | −1.62325 | −0.811625 | − | 0.584178i | \(-0.801417\pi\) | ||||
−0.811625 | + | 0.584178i | \(0.801417\pi\) | |||||||
\(108\) | −6.30938 | + | 8.25782i | −0.607121 | + | 0.794610i | ||||
\(109\) | 0.323228 | 0.0309596 | 0.0154798 | − | 0.999880i | \(-0.495072\pi\) | ||||
0.0154798 | + | 0.999880i | \(0.495072\pi\) | |||||||
\(110\) | −12.9770 | + | 4.76949i | −1.23731 | + | 0.454753i | ||||
\(111\) | −1.27652 | + | 0.570642i | −0.121162 | + | 0.0541629i | ||||
\(112\) | −10.4899 | − | 1.71393i | −0.991202 | − | 0.161951i | ||||
\(113\) | 7.11304 | − | 4.10672i | 0.669139 | − | 0.386327i | −0.126612 | − | 0.991952i | \(-0.540410\pi\) |
0.795750 | + | 0.605625i | \(0.207077\pi\) | |||||||
\(114\) | −2.02712 | − | 7.97238i | −0.189857 | − | 0.746682i | ||||
\(115\) | 3.49429 | + | 2.01743i | 0.325845 | + | 0.188126i | ||||
\(116\) | −17.0677 | + | 3.12027i | −1.58470 | + | 0.289710i | ||||
\(117\) | −9.56420 | − | 2.00293i | −0.884210 | − | 0.185171i | ||||
\(118\) | −12.0860 | − | 2.09193i | −1.11261 | − | 0.192578i | ||||
\(119\) | 17.6236 | 1.61555 | ||||||||
\(120\) | 12.0059 | − | 5.50344i | 1.09598 | − | 0.502393i | ||||
\(121\) | −1.07514 | + | 1.86220i | −0.0977399 | + | 0.169291i | ||||
\(122\) | 3.82546 | − | 4.58822i | 0.346340 | − | 0.415398i | ||||
\(123\) | 11.0936 | + | 1.14914i | 1.00028 | + | 0.103615i | ||||
\(124\) | 2.94745 | − | 0.538845i | 0.264689 | − | 0.0483897i | ||||
\(125\) | 7.36547i | 0.658788i | ||||||||
\(126\) | 6.99530 | + | 8.84100i | 0.623191 | + | 0.787619i | ||||
\(127\) | 3.74329 | − | 2.16119i | 0.332163 | − | 0.191775i | −0.324638 | − | 0.945838i | \(-0.605242\pi\) |
0.656801 | + | 0.754064i | \(0.271909\pi\) | |||||||
\(128\) | −4.10252 | − | 10.5437i | −0.362615 | − | 0.931939i | ||||
\(129\) | 6.56896 | − | 9.07001i | 0.578364 | − | 0.798570i | ||||
\(130\) | 9.53813 | + | 7.95248i | 0.836549 | + | 0.697478i | ||||
\(131\) | 3.64660 | 0.318605 | 0.159302 | − | 0.987230i | \(-0.449076\pi\) | ||||
0.159302 | + | 0.987230i | \(0.449076\pi\) | |||||||
\(132\) | 5.41870 | − | 11.3332i | 0.471637 | − | 0.986427i | ||||
\(133\) | −8.92377 | −0.773789 | ||||||||
\(134\) | 7.79150 | + | 8.56111i | 0.673083 | + | 0.739567i | ||||
\(135\) | −13.3421 | − | 4.26875i | −1.14830 | − | 0.367395i | ||||
\(136\) | 9.53223 | + | 16.1565i | 0.817382 | + | 1.38541i | ||||
\(137\) | − | 12.2871i | − | 1.04976i | −0.851177 | − | 0.524879i | \(-0.824111\pi\) | ||
0.851177 | − | 0.524879i | \(-0.175889\pi\) | |||||||
\(138\) | −3.55301 | + | 0.903416i | −0.302452 | + | 0.0769039i | ||||
\(139\) | 8.56693i | 0.726638i | 0.931665 | + | 0.363319i | \(0.118356\pi\) | ||||
−0.931665 | + | 0.363319i | \(0.881644\pi\) | |||||||
\(140\) | −2.57659 | − | 14.0938i | −0.217762 | − | 1.19114i | ||||
\(141\) | −0.910681 | + | 8.79154i | −0.0766932 | + | 0.740381i | ||||
\(142\) | −2.83752 | − | 7.72040i | −0.238119 | − | 0.647882i | ||||
\(143\) | 11.8118 | 0.987750 | ||||||||
\(144\) | −4.32141 | + | 11.1949i | −0.360117 | + | 0.932907i | ||||
\(145\) | −11.6939 | − | 20.2544i | −0.971124 | − | 1.68204i | ||||
\(146\) | 6.44347 | − | 7.72824i | 0.533266 | − | 0.639594i | ||||
\(147\) | 0.0964124 | − | 0.0430992i | 0.00795196 | − | 0.00355476i | ||||
\(148\) | −1.23028 | + | 1.04558i | −0.101129 | + | 0.0859464i | ||||
\(149\) | 21.5265i | 1.76352i | 0.471696 | + | 0.881761i | \(0.343642\pi\) | ||||
−0.471696 | + | 0.881761i | \(0.656358\pi\) | |||||||
\(150\) | 3.87749 | + | 3.97811i | 0.316596 | + | 0.324812i | ||||
\(151\) | 12.1761 | + | 7.02986i | 0.990875 | + | 0.572082i | 0.905536 | − | 0.424270i | \(-0.139469\pi\) |
0.0853396 | + | 0.996352i | \(0.472802\pi\) | |||||||
\(152\) | −4.82669 | − | 8.18090i | −0.391496 | − | 0.663559i | ||||
\(153\) | 4.07830 | − | 19.4743i | 0.329711 | − | 1.57440i | ||||
\(154\) | −10.4667 | − | 8.72670i | −0.843433 | − | 0.703217i | ||||
\(155\) | 2.01944 | + | 3.49776i | 0.162205 | + | 0.280947i | ||||
\(156\) | −11.2494 | + | 0.874739i | −0.900673 | + | 0.0700352i | ||||
\(157\) | −2.24187 | + | 3.88302i | −0.178920 | + | 0.309899i | −0.941511 | − | 0.336982i | \(-0.890594\pi\) |
0.762591 | + | 0.646881i | \(0.223927\pi\) | |||||||
\(158\) | −10.2648 | + | 3.77268i | −0.816625 | + | 0.300138i | ||||
\(159\) | 3.50035 | − | 4.83306i | 0.277596 | − | 0.383287i | ||||
\(160\) | 11.5269 | − | 9.98515i | 0.911283 | − | 0.789395i | ||||
\(161\) | 3.97701i | 0.313432i | ||||||||
\(162\) | 11.3882 | − | 5.68400i | 0.894745 | − | 0.446578i | ||||
\(163\) | 17.8072 | − | 10.2810i | 1.39477 | − | 0.805269i | 0.400929 | − | 0.916109i | \(-0.368687\pi\) |
0.993838 | + | 0.110840i | \(0.0353540\pi\) | |||||||
\(164\) | 12.6684 | − | 2.31600i | 0.989233 | − | 0.180849i | ||||
\(165\) | 16.8428 | + | 1.74468i | 1.31121 | + | 0.135823i | ||||
\(166\) | 6.47319 | − | 7.76389i | 0.502417 | − | 0.602595i | ||||
\(167\) | 11.0224 | + | 19.0914i | 0.852939 | + | 1.47733i | 0.878544 | + | 0.477662i | \(0.158516\pi\) |
−0.0256045 | + | 0.999672i | \(0.508151\pi\) | |||||||
\(168\) | 10.6147 | + | 7.53608i | 0.818938 | + | 0.581421i | ||||
\(169\) | 1.19525 | + | 2.07023i | 0.0919420 | + | 0.159248i | ||||
\(170\) | −16.1926 | + | 19.4212i | −1.24191 | + | 1.48954i | ||||
\(171\) | −2.06506 | + | 9.86091i | −0.157919 | + | 0.754083i | ||||
\(172\) | 4.34631 | − | 12.1791i | 0.331403 | − | 0.928650i | ||||
\(173\) | 12.0229 | + | 6.94145i | 0.914087 | + | 0.527749i | 0.881744 | − | 0.471728i | \(-0.156370\pi\) |
0.0323433 | + | 0.999477i | \(0.489703\pi\) | |||||||
\(174\) | 20.4538 | + | 5.76234i | 1.55060 | + | 0.436842i | ||||
\(175\) | 5.21900 | − | 3.01319i | 0.394520 | − | 0.227776i | ||||
\(176\) | 2.33899 | − | 14.3155i | 0.176308 | − | 1.07907i | ||||
\(177\) | 12.1666 | + | 8.81166i | 0.914497 | + | 0.662325i | ||||
\(178\) | 3.69471 | − | 21.3459i | 0.276930 | − | 1.59995i | ||||
\(179\) | 3.63905 | 0.271995 | 0.135998 | − | 0.990709i | \(-0.456576\pi\) | ||||
0.135998 | + | 0.990709i | \(0.456576\pi\) | |||||||
\(180\) | −16.1701 | − | 0.414294i | −1.20525 | − | 0.0308797i | ||||
\(181\) | −3.05055 | − | 5.28371i | −0.226746 | − | 0.392735i | 0.730096 | − | 0.683345i | \(-0.239475\pi\) |
−0.956842 | + | 0.290609i | \(0.906142\pi\) | |||||||
\(182\) | −2.08761 | + | 12.0610i | −0.154744 | + | 0.894024i | ||||
\(183\) | −6.67933 | + | 2.98586i | −0.493750 | + | 0.220721i | ||||
\(184\) | −3.64594 | + | 2.15108i | −0.268782 | + | 0.158580i | ||||
\(185\) | −1.88479 | − | 1.08818i | −0.138572 | − | 0.0800049i | ||||
\(186\) | −3.53221 | − | 0.995109i | −0.258994 | − | 0.0729649i | ||||
\(187\) | 24.0508i | 1.75877i | ||||||||
\(188\) | 1.83540 | + | 10.0395i | 0.133860 | + | 0.732207i | ||||
\(189\) | −2.93155 | − | 13.4927i | −0.213239 | − | 0.981448i | ||||
\(190\) | 8.19919 | − | 9.83403i | 0.594832 | − | 0.713436i | ||||
\(191\) | −0.838003 | + | 1.45146i | −0.0606358 | + | 0.105024i | −0.894750 | − | 0.446568i | \(-0.852646\pi\) |
0.834114 | + | 0.551592i | \(0.185979\pi\) | |||||||
\(192\) | −1.16747 | + | 13.8071i | −0.0842551 | + | 0.996444i | ||||
\(193\) | 13.3286 | 0.959411 | 0.479706 | − | 0.877429i | \(-0.340743\pi\) | ||||
0.479706 | + | 0.877429i | \(0.340743\pi\) | |||||||
\(194\) | 14.6215 | − | 17.5370i | 1.04977 | − | 1.25908i | ||||
\(195\) | −6.20709 | − | 13.8852i | −0.444499 | − | 0.994340i | ||||
\(196\) | 0.0929204 | − | 0.0789704i | 0.00663717 | − | 0.00564074i | ||||
\(197\) | −2.07867 | + | 1.20012i | −0.148099 | + | 0.0855049i | −0.572218 | − | 0.820101i | \(-0.693917\pi\) |
0.424119 | + | 0.905606i | \(0.360584\pi\) | |||||||
\(198\) | −12.0653 | + | 9.54644i | −0.857441 | + | 0.678436i | ||||
\(199\) | −8.55685 | − | 4.94030i | −0.606579 | − | 0.350209i | 0.165046 | − | 0.986286i | \(-0.447223\pi\) |
−0.771625 | + | 0.636077i | \(0.780556\pi\) | |||||||
\(200\) | 5.58521 | + | 3.15477i | 0.394934 | + | 0.223076i | ||||
\(201\) | −3.95809 | − | 13.6137i | −0.279182 | − | 0.960238i | ||||
\(202\) | 20.0069 | − | 7.35324i | 1.40768 | − | 0.517372i | ||||
\(203\) | 11.5262 | − | 19.9640i | 0.808981 | − | 1.40120i | ||||
\(204\) | −1.78112 | − | 22.9057i | −0.124703 | − | 1.60372i | ||||
\(205\) | 8.67968 | + | 15.0337i | 0.606215 | + | 1.05000i | ||||
\(206\) | 11.8923 | − | 4.37084i | 0.828577 | − | 0.304531i | ||||
\(207\) | 4.39466 | + | 0.920326i | 0.305450 | + | 0.0639671i | ||||
\(208\) | −12.1862 | + | 4.60975i | −0.844958 | + | 0.319629i | ||||
\(209\) | − | 12.1782i | − | 0.842385i | ||||||
\(210\) | −4.75830 | + | 16.8899i | −0.328354 | + | 1.16552i | ||||
\(211\) | −12.0232 | − | 6.94158i | −0.827710 | − | 0.477878i | 0.0253583 | − | 0.999678i | \(-0.491927\pi\) |
−0.853068 | + | 0.521800i | \(0.825261\pi\) | |||||||
\(212\) | 2.31599 | − | 6.48980i | 0.159063 | − | 0.445721i | ||||
\(213\) | −1.03797 | + | 10.0203i | −0.0711203 | + | 0.686581i | ||||
\(214\) | 23.3982 | + | 4.04993i | 1.59947 | + | 0.276848i | ||||
\(215\) | 17.4309 | 1.18878 | ||||||||
\(216\) | 10.7838 | − | 9.98543i | 0.733747 | − | 0.679422i | ||||
\(217\) | −1.99048 | + | 3.44761i | −0.135123 | + | 0.234039i | ||||
\(218\) | −0.450416 | − | 0.0779612i | −0.0305060 | − | 0.00528020i | ||||
\(219\) | −11.2504 | + | 5.02928i | −0.760235 | + | 0.339847i | ||||
\(220\) | 19.2337 | − | 3.51626i | 1.29674 | − | 0.237066i | ||||
\(221\) | 18.7085 | − | 10.8014i | 1.25847 | − | 0.726579i | ||||
\(222\) | 1.91646 | − | 0.487294i | 0.128624 | − | 0.0327051i | ||||
\(223\) | − | 7.10950i | − | 0.476087i | −0.971254 | − | 0.238044i | \(-0.923494\pi\) | ||
0.971254 | − | 0.238044i | \(-0.0765061\pi\) | |||||||
\(224\) | 14.2042 | + | 4.91847i | 0.949059 | + | 0.328629i | ||||
\(225\) | −2.12189 | − | 6.46437i | −0.141459 | − | 0.430958i | ||||
\(226\) | −10.9025 | + | 4.00705i | −0.725223 | + | 0.266545i | ||||
\(227\) | −10.1557 | − | 17.5902i | −0.674059 | − | 1.16750i | −0.976743 | − | 0.214414i | \(-0.931216\pi\) |
0.302684 | − | 0.953091i | \(-0.402117\pi\) | |||||||
\(228\) | 0.901876 | + | 11.5984i | 0.0597282 | + | 0.768122i | ||||
\(229\) | 11.5651 | − | 20.0313i | 0.764243 | − | 1.32371i | −0.176404 | − | 0.984318i | \(-0.556446\pi\) |
0.940646 | − | 0.339389i | \(-0.110220\pi\) | |||||||
\(230\) | −4.38268 | − | 3.65409i | −0.288985 | − | 0.240943i | ||||
\(231\) | 6.81139 | + | 15.2370i | 0.448156 | + | 1.00252i | ||||
\(232\) | 24.5363 | − | 0.231420i | 1.61089 | − | 0.0151934i | ||||
\(233\) | 1.61526 | − | 0.932569i | 0.105819 | − | 0.0610946i | −0.446156 | − | 0.894955i | \(-0.647208\pi\) |
0.551975 | + | 0.833860i | \(0.313874\pi\) | |||||||
\(234\) | 12.8445 | + | 5.09791i | 0.839674 | + | 0.333261i | ||||
\(235\) | −11.9140 | + | 6.87855i | −0.777183 | + | 0.448707i | ||||
\(236\) | 16.3372 | + | 5.83019i | 1.06346 | + | 0.379513i | ||||
\(237\) | 13.3227 | + | 1.38005i | 0.865404 | + | 0.0896438i | ||||
\(238\) | −24.5583 | − | 4.25073i | −1.59188 | − | 0.275534i | ||||
\(239\) | −11.5345 | − | 19.9783i | −0.746104 | − | 1.29229i | −0.949677 | − | 0.313230i | \(-0.898589\pi\) |
0.203574 | − | 0.979060i | \(-0.434744\pi\) | |||||||
\(240\) | −18.0576 | + | 4.77323i | −1.16561 | + | 0.308110i | ||||
\(241\) | 3.39895 | 0.218946 | 0.109473 | − | 0.993990i | \(-0.465084\pi\) | ||||
0.109473 | + | 0.993990i | \(0.465084\pi\) | |||||||
\(242\) | 1.94735 | − | 2.33564i | 0.125181 | − | 0.150141i | ||||
\(243\) | −15.5880 | + | 0.117052i | −0.999972 | + | 0.00750890i | ||||
\(244\) | −6.43741 | + | 5.47097i | −0.412113 | + | 0.350243i | ||||
\(245\) | 0.142354 | + | 0.0821879i | 0.00909464 | + | 0.00525079i | ||||
\(246\) | −15.1817 | − | 4.27705i | −0.967949 | − | 0.272695i | ||||
\(247\) | −9.47315 | + | 5.46933i | −0.602762 | + | 0.348005i | ||||
\(248\) | −4.23722 | + | 0.0399642i | −0.269064 | + | 0.00253773i | ||||
\(249\) | −11.3023 | + | 5.05248i | −0.716257 | + | 0.320188i | ||||
\(250\) | 1.77652 | − | 10.2637i | 0.112357 | − | 0.649136i | ||||
\(251\) | −12.7223 | + | 22.0357i | −0.803026 | + | 1.39088i | 0.114590 | + | 0.993413i | \(0.463445\pi\) |
−0.917616 | + | 0.397469i | \(0.869889\pi\) | |||||||
\(252\) | −7.61549 | − | 14.0071i | −0.479731 | − | 0.882366i | ||||
\(253\) | −5.42740 | −0.341218 | ||||||||
\(254\) | −5.73752 | + | 2.10874i | −0.360004 | + | 0.132314i | ||||
\(255\) | 28.2726 | − | 12.6387i | 1.77050 | − | 0.791465i | ||||
\(256\) | 3.17374 | + | 15.6821i | 0.198359 | + | 0.980129i | ||||
\(257\) | 14.0099 | − | 8.08863i | 0.873915 | − | 0.504555i | 0.00526747 | − | 0.999986i | \(-0.498323\pi\) |
0.868647 | + | 0.495431i | \(0.164990\pi\) | |||||||
\(258\) | −11.3414 | + | 11.0546i | −0.706088 | + | 0.688229i | ||||
\(259\) | − | 2.14516i | − | 0.133294i | ||||||
\(260\) | −11.3732 | − | 13.3823i | −0.705337 | − | 0.829934i | ||||
\(261\) | −19.3932 | − | 17.3565i | −1.20041 | − | 1.07434i | ||||
\(262\) | −5.08151 | − | 0.879545i | −0.313937 | − | 0.0543385i | ||||
\(263\) | 20.4917 | 1.26357 | 0.631786 | − | 0.775143i | \(-0.282322\pi\) | ||||
0.631786 | + | 0.775143i | \(0.282322\pi\) | |||||||
\(264\) | −10.2844 | + | 14.4858i | −0.632963 | + | 0.891537i | ||||
\(265\) | 9.28829 | 0.570575 | ||||||||
\(266\) | 12.4352 | + | 2.15238i | 0.762452 | + | 0.131971i | ||||
\(267\) | −15.5629 | + | 21.4883i | −0.952434 | + | 1.31506i | ||||
\(268\) | −8.79250 | − | 13.8091i | −0.537088 | − | 0.843526i | ||||
\(269\) | − | 23.6053i | − | 1.43924i | −0.694368 | − | 0.719620i | \(-0.744316\pi\) | ||
0.694368 | − | 0.719620i | \(-0.255684\pi\) | |||||||
\(270\) | 17.5625 | + | 9.16653i | 1.06882 | + | 0.557857i | ||||
\(271\) | − | 4.52570i | − | 0.274917i | −0.990508 | − | 0.137458i | \(-0.956107\pi\) | ||
0.990508 | − | 0.137458i | \(-0.0438933\pi\) | |||||||
\(272\) | −9.38622 | − | 24.8131i | −0.569123 | − | 1.50451i | ||||
\(273\) | 8.79347 | − | 12.1415i | 0.532205 | − | 0.734835i | ||||
\(274\) | −2.96360 | + | 17.1220i | −0.179037 | + | 1.03438i | ||||
\(275\) | 4.11209 | + | 7.12234i | 0.247968 | + | 0.429493i | ||||
\(276\) | 5.16899 | − | 0.401934i | 0.311137 | − | 0.0241936i | ||||
\(277\) | −10.8617 | −0.652614 | −0.326307 | − | 0.945264i | \(-0.605804\pi\) | ||||
−0.326307 | + | 0.945264i | \(0.605804\pi\) | |||||||
\(278\) | 2.06631 | − | 11.9380i | 0.123929 | − | 0.715992i | ||||
\(279\) | 3.34905 | + | 2.99733i | 0.200502 | + | 0.179445i | ||||
\(280\) | 0.191097 | + | 20.2611i | 0.0114202 | + | 1.21083i | ||||
\(281\) | 17.3942 | + | 10.0425i | 1.03765 | + | 0.599088i | 0.919167 | − | 0.393869i | \(-0.128863\pi\) |
0.118483 | + | 0.992956i | \(0.462197\pi\) | |||||||
\(282\) | 3.38951 | − | 12.0313i | 0.201843 | − | 0.716454i | ||||
\(283\) | 26.0264i | 1.54711i | 0.633731 | + | 0.773553i | \(0.281522\pi\) | ||||
−0.633731 | + | 0.773553i | \(0.718478\pi\) | |||||||
\(284\) | 2.09193 | + | 11.4427i | 0.124133 | + | 0.679001i | ||||
\(285\) | −14.3160 | + | 6.39966i | −0.848004 | + | 0.379083i | ||||
\(286\) | −16.4596 | − | 2.84895i | −0.973278 | − | 0.168462i | ||||
\(287\) | −8.55523 | + | 14.8181i | −0.504999 | + | 0.874684i | ||||
\(288\) | 8.72201 | − | 14.5577i | 0.513950 | − | 0.857820i | ||||
\(289\) | 13.4934 | + | 23.3713i | 0.793730 | + | 1.37478i | ||||
\(290\) | 11.4101 | + | 31.0449i | 0.670022 | + | 1.82302i | ||||
\(291\) | −25.5295 | + | 11.4125i | −1.49657 | + | 0.669010i | ||||
\(292\) | −10.8430 | + | 9.21512i | −0.634536 | + | 0.539274i | ||||
\(293\) | 29.4487i | 1.72041i | 0.509948 | + | 0.860205i | \(0.329665\pi\) | ||||
−0.509948 | + | 0.860205i | \(0.670335\pi\) | |||||||
\(294\) | −0.144745 | + | 0.0368042i | −0.00844173 | + | 0.00214646i | ||||
\(295\) | 23.3820i | 1.36135i | ||||||||
\(296\) | 1.96658 | − | 1.16027i | 0.114305 | − | 0.0674396i | ||||
\(297\) | 18.4134 | − | 4.00067i | 1.06845 | − | 0.232143i | ||||
\(298\) | 5.19211 | − | 29.9971i | 0.300771 | − | 1.73768i | ||||
\(299\) | 2.43748 | + | 4.22185i | 0.140963 | + | 0.244156i | ||||
\(300\) | −4.44376 | − | 6.47871i | −0.256561 | − | 0.374049i | ||||
\(301\) | 8.59050 | + | 14.8792i | 0.495148 | + | 0.857622i | ||||
\(302\) | −15.2717 | − | 12.7329i | −0.878789 | − | 0.732696i | ||||
\(303\) | −25.9670 | − | 2.68982i | −1.49177 | − | 0.154526i | ||||
\(304\) | 4.75276 | + | 12.5642i | 0.272589 | + | 0.720607i | ||||
\(305\) | −9.86207 | − | 5.69387i | −0.564701 | − | 0.326030i | ||||
\(306\) | −10.3802 | + | 26.1537i | −0.593397 | + | 1.49511i | ||||
\(307\) | 8.01545 | + | 4.62772i | 0.457466 | + | 0.264118i | 0.710978 | − | 0.703214i | \(-0.248252\pi\) |
−0.253512 | + | 0.967332i | \(0.581586\pi\) | |||||||
\(308\) | 12.4805 | + | 14.6851i | 0.711141 | + | 0.836763i | ||||
\(309\) | −15.4350 | − | 1.59886i | −0.878069 | − | 0.0909558i | ||||
\(310\) | −1.97042 | − | 5.36119i | −0.111913 | − | 0.304495i | ||||
\(311\) | 28.8183 | 1.63413 | 0.817067 | − | 0.576543i | \(-0.195599\pi\) | ||||
0.817067 | + | 0.576543i | \(0.195599\pi\) | |||||||
\(312\) | 15.8869 | + | 1.49437i | 0.899421 | + | 0.0846018i | ||||
\(313\) | −25.6878 | −1.45196 | −0.725980 | − | 0.687716i | \(-0.758614\pi\) | ||||
−0.725980 | + | 0.687716i | \(0.758614\pi\) | |||||||
\(314\) | 4.06059 | − | 4.87024i | 0.229153 | − | 0.274844i | ||||
\(315\) | 14.3323 | − | 16.0141i | 0.807534 | − | 0.902292i | ||||
\(316\) | 15.2139 | − | 2.78137i | 0.855850 | − | 0.156464i | ||||
\(317\) | 16.3826 | + | 9.45851i | 0.920140 | + | 0.531243i | 0.883680 | − | 0.468092i | \(-0.155059\pi\) |
0.0364600 | + | 0.999335i | \(0.488392\pi\) | |||||||
\(318\) | −6.04343 | + | 5.89057i | −0.338899 | + | 0.330327i | ||||
\(319\) | 27.2447 | + | 15.7297i | 1.52541 | + | 0.880696i | ||||
\(320\) | −18.4711 | + | 11.1340i | −1.03256 | + | 0.622409i | ||||
\(321\) | −23.5542 | − | 17.0592i | −1.31467 | − | 0.952150i | ||||
\(322\) | 0.959238 | − | 5.54194i | 0.0534563 | − | 0.308840i | ||||
\(323\) | −11.1365 | − | 19.2889i | −0.619650 | − | 1.07326i | ||||
\(324\) | −17.2404 | + | 5.17383i | −0.957800 | + | 0.287435i | ||||
\(325\) | 3.69354 | − | 6.39739i | 0.204881 | − | 0.354864i | ||||
\(326\) | −27.2940 | + | 10.0315i | −1.51167 | + | 0.555592i | ||||
\(327\) | 0.453419 | + | 0.328389i | 0.0250742 | + | 0.0181600i | ||||
\(328\) | −18.2119 | + | 0.171769i | −1.00558 | + | 0.00948437i | ||||
\(329\) | −11.7432 | − | 6.77991i | −0.647421 | − | 0.373789i | ||||
\(330\) | −23.0496 | − | 6.49363i | −1.26884 | − | 0.357462i | ||||
\(331\) | 2.34917 | − | 1.35629i | 0.129122 | − | 0.0745486i | −0.434048 | − | 0.900890i | \(-0.642915\pi\) |
0.563170 | + | 0.826341i | \(0.309582\pi\) | |||||||
\(332\) | −10.8930 | + | 9.25762i | −0.597830 | + | 0.508078i | ||||
\(333\) | −2.37044 | − | 0.496415i | −0.129899 | − | 0.0272034i | ||||
\(334\) | −10.7549 | − | 29.2623i | −0.588481 | − | 1.60116i | ||||
\(335\) | 13.5477 | − | 17.4187i | 0.740189 | − | 0.951683i | ||||
\(336\) | −12.9738 | − | 13.0617i | −0.707778 | − | 0.712573i | ||||
\(337\) | 11.3754 | − | 19.7027i | 0.619657 | − | 1.07328i | −0.369891 | − | 0.929075i | \(-0.620605\pi\) |
0.989548 | − | 0.144202i | \(-0.0460615\pi\) | |||||||
\(338\) | −1.16624 | − | 3.17314i | −0.0634349 | − | 0.172596i | ||||
\(339\) | 14.1504 | + | 1.46578i | 0.768542 | + | 0.0796103i | ||||
\(340\) | 27.2486 | − | 23.1578i | 1.47776 | − | 1.25591i | ||||
\(341\) | −4.70493 | − | 2.71639i | −0.254786 | − | 0.147101i | ||||
\(342\) | 5.25607 | − | 13.2430i | 0.284215 | − | 0.716101i | ||||
\(343\) | − | 18.4387i | − | 0.995598i | ||||||
\(344\) | −8.99412 | + | 15.9232i | −0.484930 | + | 0.858523i | ||||
\(345\) | 2.85210 | + | 6.38012i | 0.153552 | + | 0.343494i | ||||
\(346\) | −15.0796 | − | 12.5727i | −0.810687 | − | 0.675915i | ||||
\(347\) | −10.9382 | − | 18.9454i | −0.587191 | − | 1.01704i | −0.994598 | − | 0.103798i | \(-0.966900\pi\) |
0.407407 | − | 0.913247i | \(-0.366433\pi\) | |||||||
\(348\) | −27.1124 | − | 12.9632i | −1.45338 | − | 0.694899i | ||||
\(349\) | 14.7072 | 0.787259 | 0.393630 | − | 0.919269i | \(-0.371219\pi\) | ||||
0.393630 | + | 0.919269i | \(0.371219\pi\) | |||||||
\(350\) | −7.99942 | + | 2.94006i | −0.427587 | + | 0.157153i | ||||
\(351\) | −11.3816 | − | 12.5266i | −0.607505 | − | 0.668620i | ||||
\(352\) | −6.71221 | + | 19.3844i | −0.357762 | + | 1.03319i | ||||
\(353\) | −21.9805 | − | 12.6905i | −1.16990 | − | 0.675445i | −0.216247 | − | 0.976339i | \(-0.569382\pi\) |
−0.953658 | + | 0.300894i | \(0.902715\pi\) | |||||||
\(354\) | −14.8287 | − | 15.2135i | −0.788138 | − | 0.808589i | ||||
\(355\) | −13.5792 | + | 7.83995i | −0.720709 | + | 0.416101i | ||||
\(356\) | −10.2971 | + | 28.8543i | −0.545746 | + | 1.52927i | ||||
\(357\) | 24.7221 | + | 17.9050i | 1.30843 | + | 0.947632i | ||||
\(358\) | −5.07099 | − | 0.877723i | −0.268010 | − | 0.0463891i | ||||
\(359\) | 4.03521 | 0.212970 | 0.106485 | − | 0.994314i | \(-0.466040\pi\) | ||||
0.106485 | + | 0.994314i | \(0.466040\pi\) | |||||||
\(360\) | 22.4330 | + | 4.47748i | 1.18232 | + | 0.235984i | ||||
\(361\) | −3.86100 | − | 6.68745i | −0.203210 | − | 0.351971i | ||||
\(362\) | 2.97651 | + | 8.09860i | 0.156442 | + | 0.425653i | ||||
\(363\) | −3.40012 | + | 1.51995i | −0.178460 | + | 0.0797769i | ||||
\(364\) | 5.81815 | − | 16.3035i | 0.304954 | − | 0.854534i | ||||
\(365\) | −16.6114 | − | 9.59057i | −0.869478 | − | 0.501993i | ||||
\(366\) | 10.0278 | − | 2.54974i | 0.524160 | − | 0.133277i | ||||
\(367\) | −7.35243 | + | 4.24493i | −0.383794 | + | 0.221583i | −0.679468 | − | 0.733706i | \(-0.737789\pi\) |
0.295674 | + | 0.955289i | \(0.404456\pi\) | |||||||
\(368\) | 5.59942 | − | 2.11814i | 0.291890 | − | 0.110415i | ||||
\(369\) | 14.3944 | + | 12.8827i | 0.749345 | + | 0.670649i | ||||
\(370\) | 2.36398 | + | 1.97098i | 0.122897 | + | 0.102466i | ||||
\(371\) | 4.57755 | + | 7.92855i | 0.237655 | + | 0.411630i | ||||
\(372\) | 4.68209 | + | 2.23863i | 0.242755 | + | 0.116068i | ||||
\(373\) | 13.6229 | + | 23.5956i | 0.705368 | + | 1.22173i | 0.966559 | + | 0.256446i | \(0.0825514\pi\) |
−0.261191 | + | 0.965287i | \(0.584115\pi\) | |||||||
\(374\) | 5.80094 | − | 33.5146i | 0.299960 | − | 1.73300i | ||||
\(375\) | −7.48308 | + | 10.3322i | −0.386425 | + | 0.533551i | ||||
\(376\) | −0.136125 | − | 14.4327i | −0.00702011 | − | 0.744310i | ||||
\(377\) | − | 28.2574i | − | 1.45533i | ||||||
\(378\) | 0.830724 | + | 19.5090i | 0.0427278 | + | 1.00344i | ||||
\(379\) | −23.0310 | − | 13.2970i | −1.18303 | − | 0.683020i | −0.226313 | − | 0.974055i | \(-0.572667\pi\) |
−0.956713 | + | 0.291035i | \(0.906001\pi\) | |||||||
\(380\) | −13.7974 | + | 11.7261i | −0.707794 | + | 0.601534i | ||||
\(381\) | 7.44673 | + | 0.771378i | 0.381508 | + | 0.0395189i | ||||
\(382\) | 1.51784 | − | 1.82048i | 0.0776594 | − | 0.0931440i | ||||
\(383\) | −11.3469 | + | 19.6535i | −0.579801 | + | 1.00425i | 0.415701 | + | 0.909502i | \(0.363536\pi\) |
−0.995502 | + | 0.0947435i | \(0.969797\pi\) | |||||||
\(384\) | 4.95709 | − | 18.9586i | 0.252965 | − | 0.967475i | ||||
\(385\) | −12.9890 | + | 22.4975i | −0.661979 | + | 1.14658i | ||||
\(386\) | −18.5733 | − | 3.21480i | −0.945355 | − | 0.163629i | ||||
\(387\) | 18.4297 | − | 6.04943i | 0.936833 | − | 0.307510i | ||||
\(388\) | −24.6049 | + | 20.9110i | −1.24912 | + | 1.06159i | ||||
\(389\) | −15.6531 | − | 9.03733i | −0.793645 | − | 0.458211i | 0.0475993 | − | 0.998867i | \(-0.484843\pi\) |
−0.841244 | + | 0.540655i | \(0.818176\pi\) | |||||||
\(390\) | 5.30049 | + | 20.8461i | 0.268401 | + | 1.05558i | ||||
\(391\) | −8.59639 | + | 4.96313i | −0.434738 | + | 0.250996i | ||||
\(392\) | −0.148531 | + | 0.0876327i | −0.00750197 | + | 0.00442612i | ||||
\(393\) | 5.11540 | + | 3.70483i | 0.258038 | + | 0.186884i | ||||
\(394\) | 3.18607 | − | 1.17099i | 0.160512 | − | 0.0589937i | ||||
\(395\) | 10.4238 | + | 18.0545i | 0.524476 | + | 0.908420i | ||||
\(396\) | 19.1154 | − | 10.3928i | 0.960586 | − | 0.522258i | ||||
\(397\) | 36.5930 | 1.83655 | 0.918274 | − | 0.395945i | \(-0.129583\pi\) | ||||
0.918274 | + | 0.395945i | \(0.129583\pi\) | |||||||
\(398\) | 10.7323 | + | 8.94815i | 0.537963 | + | 0.448530i | ||||
\(399\) | −12.5181 | − | 9.06627i | −0.626691 | − | 0.453881i | ||||
\(400\) | −7.02204 | − | 5.74328i | −0.351102 | − | 0.287164i | ||||
\(401\) | 17.8898i | 0.893373i | 0.894691 | + | 0.446687i | \(0.147396\pi\) | ||||
−0.894691 | + | 0.446687i | \(0.852604\pi\) | |||||||
\(402\) | 2.23199 | + | 19.9253i | 0.111322 | + | 0.993784i | ||||
\(403\) | 4.87981i | 0.243081i | ||||||||
\(404\) | −29.6531 | + | 5.42110i | −1.47530 | + | 0.269710i | ||||
\(405\) | −14.3792 | − | 19.5433i | −0.714507 | − | 0.971113i | ||||
\(406\) | −20.8769 | + | 25.0396i | −1.03610 | + | 1.24269i | ||||
\(407\) | 2.92749 | 0.145110 | ||||||||
\(408\) | −3.04278 | + | 32.3485i | −0.150640 | + | 1.60149i | ||||
\(409\) | −0.518494 | − | 0.898057i | −0.0256379 | − | 0.0444061i | 0.852922 | − | 0.522039i | \(-0.174828\pi\) |
−0.878560 | + | 0.477633i | \(0.841495\pi\) | |||||||
\(410\) | −8.46903 | − | 23.0428i | −0.418255 | − | 1.13800i | ||||
\(411\) | 12.4833 | − | 17.2362i | 0.615756 | − | 0.850197i | ||||
\(412\) | −17.6261 | + | 3.22236i | −0.868375 | + | 0.158754i | ||||
\(413\) | −19.9591 | + | 11.5234i | −0.982122 | + | 0.567028i | ||||
\(414\) | −5.90195 | − | 2.34244i | −0.290065 | − | 0.115125i | ||||
\(415\) | −16.6880 | − | 9.63481i | −0.819181 | − | 0.472954i | ||||
\(416\) | 18.0932 | − | 3.48441i | 0.887091 | − | 0.170837i | ||||
\(417\) | −8.70373 | + | 12.0176i | −0.426224 | + | 0.588503i | ||||
\(418\) | −2.93734 | + | 16.9703i | −0.143670 | + | 0.830043i | ||||
\(419\) | −0.732705 | + | 1.26908i | −0.0357950 | + | 0.0619988i | −0.883368 | − | 0.468680i | \(-0.844730\pi\) |
0.847573 | + | 0.530679i | \(0.178063\pi\) | |||||||
\(420\) | 10.7044 | − | 22.3883i | 0.522323 | − | 1.09244i | ||||
\(421\) | 13.9150 | − | 24.1015i | 0.678175 | − | 1.17463i | −0.297355 | − | 0.954767i | \(-0.596104\pi\) |
0.975530 | − | 0.219867i | \(-0.0705623\pi\) | |||||||
\(422\) | 15.0799 | + | 12.5730i | 0.734080 | + | 0.612044i | ||||
\(423\) | −10.2094 | + | 11.4074i | −0.496399 | + | 0.554648i | ||||
\(424\) | −4.79262 | + | 8.48488i | −0.232750 | + | 0.412062i | ||||
\(425\) | 13.0262 | + | 7.52066i | 0.631862 | + | 0.364806i | ||||
\(426\) | 3.86326 | − | 13.7129i | 0.187176 | − | 0.664392i | ||||
\(427\) | − | 11.2245i | − | 0.543189i | ||||||
\(428\) | −31.6284 | − | 11.2871i | −1.52882 | − | 0.545583i | ||||
\(429\) | 16.5694 | + | 12.0004i | 0.799978 | + | 0.579384i | ||||
\(430\) | −24.2899 | − | 4.20427i | −1.17136 | − | 0.202748i | ||||
\(431\) | −1.99565 | − | 3.45656i | −0.0961269 | − | 0.166497i | 0.813951 | − | 0.580933i | \(-0.197312\pi\) |
−0.910078 | + | 0.414436i | \(0.863979\pi\) | |||||||
\(432\) | −17.4357 | + | 11.3136i | −0.838873 | + | 0.544326i | ||||
\(433\) | 7.51625 | + | 13.0185i | 0.361208 | + | 0.625631i | 0.988160 | − | 0.153427i | \(-0.0490311\pi\) |
−0.626952 | + | 0.779058i | \(0.715698\pi\) | |||||||
\(434\) | 3.60527 | − | 4.32413i | 0.173058 | − | 0.207565i | ||||
\(435\) | 4.17381 | − | 40.2932i | 0.200119 | − | 1.93191i | ||||
\(436\) | 0.608848 | + | 0.217277i | 0.0291585 | + | 0.0104057i | ||||
\(437\) | 4.35282 | − | 2.51310i | 0.208224 | − | 0.120218i | ||||
\(438\) | 16.8905 | − | 4.29471i | 0.807058 | − | 0.205209i | ||||
\(439\) | −14.6600 | − | 8.46393i | −0.699682 | − | 0.403961i | 0.107547 | − | 0.994200i | \(-0.465700\pi\) |
−0.807229 | + | 0.590239i | \(0.799034\pi\) | |||||||
\(440\) | −27.6502 | + | 0.260788i | −1.31817 | + | 0.0124326i | ||||
\(441\) | 0.179033 | + | 0.0374930i | 0.00852540 | + | 0.00178538i | ||||
\(442\) | −28.6755 | + | 10.5392i | −1.36395 | + | 0.501300i | ||||
\(443\) | 18.6986 | + | 32.3869i | 0.888398 | + | 1.53875i | 0.841769 | + | 0.539838i | \(0.181514\pi\) |
0.0466285 | + | 0.998912i | \(0.485152\pi\) | |||||||
\(444\) | −2.78811 | + | 0.216800i | −0.132318 | + | 0.0102889i | ||||
\(445\) | −41.2967 | −1.95765 | ||||||||
\(446\) | −1.71478 | + | 9.90704i | −0.0811973 | + | 0.469112i | ||||
\(447\) | −21.8703 | + | 30.1971i | −1.03443 | + | 1.42827i | ||||
\(448\) | −18.6072 | − | 10.2799i | −0.879106 | − | 0.485678i | ||||
\(449\) | 30.9710 | − | 17.8811i | 1.46161 | − | 0.843861i | 0.462524 | − | 0.886607i | \(-0.346944\pi\) |
0.999086 | + | 0.0427459i | \(0.0136106\pi\) | |||||||
\(450\) | 1.39766 | + | 9.51985i | 0.0658863 | + | 0.448770i | ||||
\(451\) | −20.2222 | − | 11.6753i | −0.952224 | − | 0.549767i | ||||
\(452\) | 16.1590 | − | 2.95415i | 0.760058 | − | 0.138952i | ||||
\(453\) | 9.93832 | + | 22.2319i | 0.466943 | + | 1.04455i | ||||
\(454\) | 9.90925 | + | 26.9614i | 0.465064 | + | 1.26536i | ||||
\(455\) | 23.3337 | 1.09390 | ||||||||
\(456\) | 1.54073 | − | 16.3798i | 0.0721511 | − | 0.767055i | ||||
\(457\) | −10.2530 | − | 17.7587i | −0.479614 | − | 0.830716i | 0.520112 | − | 0.854098i | \(-0.325890\pi\) |
−0.999727 | + | 0.0233816i | \(0.992557\pi\) | |||||||
\(458\) | −20.9473 | + | 25.1241i | −0.978805 | + | 1.17397i | ||||
\(459\) | 25.5063 | − | 23.1749i | 1.19053 | − | 1.08171i | ||||
\(460\) | 5.22589 | + | 6.14903i | 0.243658 | + | 0.286700i | ||||
\(461\) | 21.7865i | 1.01470i | 0.861741 | + | 0.507348i | \(0.169374\pi\) | ||||
−0.861741 | + | 0.507348i | \(0.830626\pi\) | |||||||
\(462\) | −5.81652 | − | 22.8755i | −0.270609 | − | 1.06427i | ||||
\(463\) | −29.7470 | − | 17.1745i | −1.38246 | − | 0.798165i | −0.390012 | − | 0.920810i | \(-0.627529\pi\) |
−0.992451 | + | 0.122645i | \(0.960862\pi\) | |||||||
\(464\) | −34.2470 | − | 5.59558i | −1.58988 | − | 0.259768i | ||||
\(465\) | −0.720783 | + | 6.95830i | −0.0334255 | + | 0.322683i | ||||
\(466\) | −2.47578 | + | 0.909936i | −0.114688 | + | 0.0421520i | ||||
\(467\) | −8.95602 | + | 15.5123i | −0.414435 | + | 0.717823i | −0.995369 | − | 0.0961280i | \(-0.969354\pi\) |
0.580934 | + | 0.813951i | \(0.302688\pi\) | |||||||
\(468\) | −16.6692 | − | 10.2020i | −0.770534 | − | 0.471586i | ||||
\(469\) | 21.5454 | + | 2.97996i | 0.994875 | + | 0.137602i | ||||
\(470\) | 18.2611 | − | 6.71160i | 0.842324 | − | 0.309583i | ||||
\(471\) | −7.08989 | + | 3.16939i | −0.326685 | + | 0.146038i | ||||
\(472\) | −21.3596 | − | 12.0648i | −0.983153 | − | 0.555327i | ||||
\(473\) | −20.3055 | + | 11.7234i | −0.933649 | + | 0.539043i | ||||
\(474\) | −18.2323 | − | 5.13647i | −0.837436 | − | 0.235926i | ||||
\(475\) | −6.59586 | − | 3.80812i | −0.302639 | − | 0.174729i | ||||
\(476\) | 33.1966 | + | 11.8467i | 1.52156 | + | 0.542994i | ||||
\(477\) | 9.82048 | − | 3.22351i | 0.449649 | − | 0.147594i | ||||
\(478\) | 11.2545 | + | 30.6217i | 0.514771 | + | 1.40060i | ||||
\(479\) | 8.56023 | − | 14.8268i | 0.391127 | − | 0.677452i | −0.601472 | − | 0.798894i | \(-0.705419\pi\) |
0.992598 | + | 0.121443i | \(0.0387520\pi\) | |||||||
\(480\) | 26.3144 | − | 2.29605i | 1.20108 | − | 0.104800i | ||||
\(481\) | −1.31476 | − | 2.27722i | −0.0599477 | − | 0.103833i | ||||
\(482\) | −4.73642 | − | 0.819813i | −0.215738 | − | 0.0373415i | ||||
\(483\) | −4.04051 | + | 5.57889i | −0.183850 | + | 0.253848i | ||||
\(484\) | −3.27697 | + | 2.78500i | −0.148953 | + | 0.126591i | ||||
\(485\) | −37.6945 | − | 21.7630i | −1.71162 | − | 0.988205i | ||||
\(486\) | 21.7500 | + | 3.59665i | 0.986602 | + | 0.163148i | ||||
\(487\) | 15.2610 | + | 8.81097i | 0.691544 | + | 0.399263i | 0.804190 | − | 0.594372i | \(-0.202599\pi\) |
−0.112646 | + | 0.993635i | \(0.535933\pi\) | |||||||
\(488\) | 10.2901 | − | 6.07108i | 0.465809 | − | 0.274825i | ||||
\(489\) | 35.4248 | + | 3.66952i | 1.60197 | + | 0.165941i | ||||
\(490\) | −0.178545 | − | 0.148863i | −0.00806586 | − | 0.00672496i | ||||
\(491\) | −8.04678 | −0.363146 | −0.181573 | − | 0.983377i | \(-0.558119\pi\) | ||||
−0.181573 | + | 0.983377i | \(0.558119\pi\) | |||||||
\(492\) | 20.1240 | + | 9.62181i | 0.907259 | + | 0.433784i | ||||
\(493\) | 57.5367 | 2.59132 | ||||||||
\(494\) | 14.5200 | − | 5.33658i | 0.653284 | − | 0.240104i | ||||
\(495\) | 21.8543 | + | 19.5592i | 0.982280 | + | 0.879121i | ||||
\(496\) | 5.91418 | + | 0.966310i | 0.265554 | + | 0.0433886i | ||||
\(497\) | −13.3845 | − | 7.72753i | −0.600376 | − | 0.346627i | ||||
\(498\) | 16.9684 | − | 4.31452i | 0.760371 | − | 0.193338i | ||||
\(499\) | 36.7784 | + | 21.2340i | 1.64643 | + | 0.950564i | 0.978477 | + | 0.206358i | \(0.0661610\pi\) |
0.667949 | + | 0.744207i | \(0.267172\pi\) | |||||||
\(500\) | −4.95114 | + | 13.8740i | −0.221422 | + | 0.620462i | ||||
\(501\) | −3.93415 | + | 37.9795i | −0.175765 | + | 1.69680i | ||||
\(502\) | 23.0434 | − | 27.6381i | 1.02848 | − | 1.23355i | ||||
\(503\) | −14.7585 | − | 25.5625i | −0.658050 | − | 1.13978i | −0.981120 | − | 0.193401i | \(-0.938048\pi\) |
0.323070 | − | 0.946375i | \(-0.395285\pi\) | |||||||
\(504\) | 7.23367 | + | 21.3557i | 0.322213 | + | 0.951256i | ||||
\(505\) | −20.3167 | − | 35.1896i | −0.904083 | − | 1.56592i | ||||
\(506\) | 7.56305 | + | 1.30907i | 0.336218 | + | 0.0581951i | ||||
\(507\) | −0.426611 | + | 4.11842i | −0.0189464 | + | 0.182905i | ||||
\(508\) | 8.50382 | − | 1.55465i | 0.377296 | − | 0.0689762i | ||||
\(509\) | 35.2449i | 1.56220i | 0.624404 | + | 0.781102i | \(0.285342\pi\) | ||||
−0.624404 | + | 0.781102i | \(0.714658\pi\) | |||||||
\(510\) | −42.4461 | + | 10.7927i | −1.87954 | + | 0.477908i | ||||
\(511\) | − | 18.9061i | − | 0.836357i | ||||||
\(512\) | −0.640141 | − | 22.6184i | −0.0282905 | − | 0.999600i | ||||
\(513\) | −12.9152 | + | 11.7347i | −0.570221 | + | 0.518100i | ||||
\(514\) | −21.4737 | + | 7.89232i | −0.947163 | + | 0.348115i | ||||
\(515\) | −12.0765 | − | 20.9170i | −0.532152 | − | 0.921715i | ||||
\(516\) | 18.4706 | − | 12.6690i | 0.813121 | − | 0.557721i | ||||
\(517\) | 9.25251 | − | 16.0258i | 0.406925 | − | 0.704814i | ||||
\(518\) | −0.517404 | + | 2.98927i | −0.0227334 | + | 0.131341i | ||||
\(519\) | 9.81332 | + | 21.9523i | 0.430757 | + | 0.963599i | ||||
\(520\) | 12.6208 | + | 21.3913i | 0.553457 | + | 0.938071i | ||||
\(521\) | − | 9.66600i | − | 0.423475i | −0.977327 | − | 0.211738i | \(-0.932088\pi\) | ||
0.977327 | − | 0.211738i | \(-0.0679122\pi\) | |||||||
\(522\) | 22.8380 | + | 28.8638i | 0.999591 | + | 1.26333i | ||||
\(523\) | −18.6802 | − | 10.7850i | −0.816830 | − | 0.471597i | 0.0324923 | − | 0.999472i | \(-0.489656\pi\) |
−0.849322 | + | 0.527875i | \(0.822989\pi\) | |||||||
\(524\) | 6.86891 | + | 2.45128i | 0.300070 | + | 0.107085i | ||||
\(525\) | 10.3825 | + | 1.07548i | 0.453127 | + | 0.0469377i | ||||
\(526\) | −28.5550 | − | 4.94251i | −1.24506 | − | 0.215504i | ||||
\(527\) | −9.93612 | −0.432824 | ||||||||
\(528\) | 17.8252 | − | 17.7052i | 0.775742 | − | 0.770522i | ||||
\(529\) | 10.3800 | + | 17.9787i | 0.451304 | + | 0.781682i | ||||
\(530\) | −12.9432 | − | 2.24030i | −0.562215 | − | 0.0973123i | ||||
\(531\) | 8.11475 | + | 24.7217i | 0.352150 | + | 1.07283i | ||||
\(532\) | −16.8093 | − | 5.99865i | −0.728773 | − | 0.260074i | ||||
\(533\) | 20.9738i | 0.908476i | ||||||||
\(534\) | 26.8697 | − | 26.1901i | 1.16277 | − | 1.13336i | ||||
\(535\) | − | 45.2670i | − | 1.95707i | ||||||
\(536\) | 8.92159 | + | 21.3636i | 0.385354 | + | 0.922769i | ||||
\(537\) | 5.10480 | + | 3.69716i | 0.220289 | + | 0.159544i | ||||
\(538\) | −5.69350 | + | 32.8938i | −0.245464 | + | 1.41815i | ||||
\(539\) | −0.221106 | −0.00952371 | ||||||||
\(540\) | −22.2623 | − | 17.0095i | −0.958017 | − | 0.731972i | ||||
\(541\) | −15.7176 | −0.675753 | −0.337876 | − | 0.941191i | \(-0.609709\pi\) | ||||
−0.337876 | + | 0.941191i | \(0.609709\pi\) | |||||||
\(542\) | −1.09158 | + | 6.30654i | −0.0468874 | + | 0.270889i | ||||
\(543\) | 1.08881 | − | 10.5112i | 0.0467254 | − | 0.451078i | ||||
\(544\) | 7.09484 | + | 36.8408i | 0.304189 | + | 1.57953i | ||||
\(545\) | 0.871392i | 0.0373263i | ||||||||
\(546\) | −15.1821 | + | 14.7981i | −0.649734 | + | 0.633301i | ||||
\(547\) | 26.4585 | − | 15.2758i | 1.13128 | − | 0.653147i | 0.187026 | − | 0.982355i | \(-0.440115\pi\) |
0.944257 | + | 0.329208i | \(0.106782\pi\) | |||||||
\(548\) | 8.25951 | − | 23.1446i | 0.352829 | − | 0.988687i | ||||
\(549\) | −12.4032 | − | 2.59747i | −0.529356 | − | 0.110857i | ||||
\(550\) | −4.01229 | − | 10.9168i | −0.171084 | − | 0.465492i | ||||
\(551\) | −29.1340 | −1.24115 | ||||||||
\(552\) | −7.29990 | − | 0.686647i | −0.310704 | − | 0.0292256i | ||||
\(553\) | −10.2743 | + | 17.7956i | −0.436908 | + | 0.756746i | ||||
\(554\) | 15.1357 | + | 2.61979i | 0.643052 | + | 0.111304i | ||||
\(555\) | −1.53840 | − | 3.44138i | −0.0653013 | − | 0.146078i | ||||
\(556\) | −5.75878 | + | 16.1371i | −0.244227 | + | 0.684365i | ||||
\(557\) | 7.61456 | − | 4.39627i | 0.322639 | − | 0.186276i | −0.329929 | − | 0.944006i | \(-0.607025\pi\) |
0.652568 | + | 0.757730i | \(0.273692\pi\) | |||||||
\(558\) | −3.94393 | − | 4.98453i | −0.166960 | − | 0.211012i | ||||
\(559\) | 18.2387 | + | 10.5301i | 0.771416 | + | 0.445377i | ||||
\(560\) | 4.62060 | − | 28.2798i | 0.195256 | − | 1.19504i | ||||
\(561\) | −24.4348 | + | 33.7381i | −1.03164 | + | 1.42442i | ||||
\(562\) | −21.8165 | − | 18.1896i | −0.920272 | − | 0.767283i | ||||
\(563\) | 19.2290 | 0.810405 | 0.405203 | − | 0.914227i | \(-0.367201\pi\) | ||||
0.405203 | + | 0.914227i | \(0.367201\pi\) | |||||||
\(564\) | −7.62517 | + | 15.9480i | −0.321077 | + | 0.671532i | ||||
\(565\) | 11.0713 | + | 19.1761i | 0.465774 | + | 0.806744i | ||||
\(566\) | 6.27745 | − | 36.2676i | 0.263861 | − | 1.52444i | ||||
\(567\) | 9.59579 | − | 21.9057i | 0.402985 | − | 0.919953i | ||||
\(568\) | −0.155151 | − | 16.4499i | −0.00650999 | − | 0.690224i | ||||
\(569\) | −0.932104 | + | 0.538150i | −0.0390758 | + | 0.0225604i | −0.519411 | − | 0.854525i | \(-0.673848\pi\) |
0.480335 | + | 0.877085i | \(0.340515\pi\) | |||||||
\(570\) | 21.4928 | − | 5.46493i | 0.900233 | − | 0.228901i | ||||
\(571\) | 20.8988 | − | 12.0659i | 0.874589 | − | 0.504944i | 0.00571856 | − | 0.999984i | \(-0.498180\pi\) |
0.868871 | + | 0.495039i | \(0.164846\pi\) | |||||||
\(572\) | 22.2492 | + | 7.93999i | 0.930287 | + | 0.331988i | ||||
\(573\) | −2.65018 | + | 1.18471i | −0.110713 | + | 0.0494919i | ||||
\(574\) | 15.4957 | − | 18.5854i | 0.646779 | − | 0.775741i | ||||
\(575\) | −1.69715 | + | 2.93954i | −0.0707758 | + | 0.122587i | ||||
\(576\) | −15.6653 | + | 18.1823i | −0.652722 | + | 0.757598i | ||||
\(577\) | −12.0012 | − | 20.7867i | −0.499617 | − | 0.865363i | 0.500383 | − | 0.865804i | \(-0.333193\pi\) |
−1.00000 | 0.000441740i | \(0.999859\pi\) | ||||||||
\(578\) | −13.1659 | − | 35.8223i | −0.547630 | − | 1.49001i | ||||
\(579\) | 18.6971 | + | 13.5414i | 0.777026 | + | 0.562762i | ||||
\(580\) | −8.41196 | − | 46.0129i | −0.349288 | − | 1.91058i | ||||
\(581\) | − | 18.9933i | − | 0.787975i | ||||||
\(582\) | 38.3279 | − | 9.74556i | 1.58874 | − | 0.403967i | ||||
\(583\) | −10.8200 | + | 6.24696i | −0.448121 | + | 0.258723i | ||||
\(584\) | 17.3322 | − | 10.2259i | 0.717213 | − | 0.423152i | ||||
\(585\) | 5.39970 | − | 25.7842i | 0.223250 | − | 1.06604i | ||||
\(586\) | 7.10290 | − | 41.0366i | 0.293418 | − | 1.69520i | ||||
\(587\) | −5.05511 | + | 8.75571i | −0.208647 | + | 0.361387i | −0.951289 | − | 0.308302i | \(-0.900239\pi\) |
0.742642 | + | 0.669689i | \(0.233573\pi\) | |||||||
\(588\) | 0.210579 | − | 0.0163743i | 0.00868413 | − | 0.000675267i | ||||
\(589\) | 5.03120 | 0.207307 | ||||||||
\(590\) | 5.63965 | − | 32.5827i | 0.232181 | − | 1.34141i | ||||
\(591\) | −4.13521 | − | 0.428350i | −0.170100 | − | 0.0176200i | ||||
\(592\) | −3.02028 | + | 1.14250i | −0.124133 | + | 0.0469566i | ||||
\(593\) | 18.2024 | + | 10.5091i | 0.747481 | + | 0.431558i | 0.824783 | − | 0.565449i | \(-0.191297\pi\) |
−0.0773019 | + | 0.997008i | \(0.524631\pi\) | |||||||
\(594\) | −26.6239 | + | 1.13368i | −1.09239 | + | 0.0465156i | ||||
\(595\) | 47.5114i | 1.94778i | ||||||||
\(596\) | −14.4704 | + | 40.5484i | −0.592729 | + | 1.66093i | ||||
\(597\) | −6.98424 | − | 15.6237i | −0.285846 | − | 0.639434i | ||||
\(598\) | −2.37833 | − | 6.47103i | −0.0972570 | − | 0.264620i | ||||
\(599\) | 4.45915 | + | 7.72348i | 0.182196 | + | 0.315573i | 0.942628 | − | 0.333845i | \(-0.108346\pi\) |
−0.760432 | + | 0.649418i | \(0.775013\pi\) | |||||||
\(600\) | 4.62971 | + | 10.0999i | 0.189007 | + | 0.412325i | ||||
\(601\) | 14.7922 | − | 25.6209i | 0.603387 | − | 1.04510i | −0.388917 | − | 0.921273i | \(-0.627151\pi\) |
0.992304 | − | 0.123825i | \(-0.0395161\pi\) | |||||||
\(602\) | −8.38201 | − | 22.8060i | −0.341625 | − | 0.929505i | ||||
\(603\) | 8.27877 | − | 23.1184i | 0.337137 | − | 0.941455i | ||||
\(604\) | 18.2099 | + | 21.4267i | 0.740951 | + | 0.871839i | ||||
\(605\) | −5.02030 | − | 2.89847i | −0.204104 | − | 0.117840i | ||||
\(606\) | 35.5361 | + | 10.0114i | 1.44356 | + | 0.406685i | ||||
\(607\) | −14.9898 | + | 8.65439i | −0.608419 | + | 0.351271i | −0.772346 | − | 0.635201i | \(-0.780917\pi\) |
0.163927 | + | 0.986472i | \(0.447584\pi\) | |||||||
\(608\) | −3.59250 | − | 18.6545i | −0.145695 | − | 0.756540i | ||||
\(609\) | 36.4516 | − | 16.2949i | 1.47709 | − | 0.660303i | ||||
\(610\) | 12.3694 | + | 10.3131i | 0.500822 | + | 0.417564i | ||||
\(611\) | −16.6215 | −0.672433 | ||||||||
\(612\) | 20.7729 | − | 33.9413i | 0.839695 | − | 1.37200i | ||||
\(613\) | −18.8470 | + | 32.6439i | −0.761222 | + | 1.31848i | 0.180999 | + | 0.983483i | \(0.442067\pi\) |
−0.942221 | + | 0.334992i | \(0.891266\pi\) | |||||||
\(614\) | −10.0533 | − | 8.38200i | −0.405718 | − | 0.338270i | ||||
\(615\) | −3.09798 | + | 29.9073i | −0.124923 | + | 1.20598i | ||||
\(616\) | −13.8495 | − | 23.4739i | −0.558011 | − | 0.945789i | ||||
\(617\) | 2.25497i | 0.0907817i | 0.998969 | + | 0.0453909i | \(0.0144533\pi\) | ||||
−0.998969 | + | 0.0453909i | \(0.985547\pi\) | |||||||
\(618\) | 21.1230 | + | 5.95087i | 0.849692 | + | 0.239379i | ||||
\(619\) | 10.7960 | + | 6.23307i | 0.433928 | + | 0.250528i | 0.701019 | − | 0.713143i | \(-0.252729\pi\) |
−0.267091 | + | 0.963671i | \(0.586062\pi\) | |||||||
\(620\) | 1.45268 | + | 7.94605i | 0.0583408 | + | 0.319121i | ||||
\(621\) | 5.22974 | + | 5.75585i | 0.209862 | + | 0.230974i | ||||
\(622\) | −40.1581 | − | 6.95085i | −1.61019 | − | 0.278704i | ||||
\(623\) | −20.3523 | − | 35.2512i | −0.815396 | − | 1.41231i | ||||
\(624\) | −21.7779 | − | 5.91426i | −0.871815 | − | 0.236760i | ||||
\(625\) | −31.1961 | −1.24785 | ||||||||
\(626\) | 35.7958 | + | 6.19579i | 1.43069 | + | 0.247634i | ||||
\(627\) | 12.3727 | − | 17.0834i | 0.494117 | − | 0.682246i | ||||
\(628\) | −6.83310 | + | 5.80725i | −0.272670 | + | 0.231735i | ||||
\(629\) | 4.63681 | − | 2.67707i | 0.184882 | − | 0.106742i | ||||
\(630\) | −23.8345 | + | 18.8587i | −0.949589 | + | 0.751347i | ||||
\(631\) | −9.32817 | − | 5.38562i | −0.371349 | − | 0.214398i | 0.302699 | − | 0.953086i | \(-0.402112\pi\) |
−0.674048 | + | 0.738688i | \(0.735446\pi\) | |||||||
\(632\) | −21.8713 | + | 0.206284i | −0.869996 | + | 0.00820555i | ||||
\(633\) | −9.81351 | − | 21.9527i | −0.390052 | − | 0.872542i | ||||
\(634\) | −20.5477 | − | 17.1318i | −0.816054 | − | 0.680390i | ||||
\(635\) | 5.82636 | + | 10.0916i | 0.231212 | + | 0.400471i | ||||
\(636\) | 9.84226 | − | 6.75083i | 0.390271 | − | 0.267688i | ||||
\(637\) | 0.0993004 | + | 0.171993i | 0.00393442 | + | 0.00681462i | ||||
\(638\) | −34.1714 | − | 28.4906i | −1.35286 | − | 1.12795i | ||||
\(639\) | −11.6364 | + | 13.0018i | −0.460328 | + | 0.514344i | ||||
\(640\) | 28.4248 | − | 11.0600i | 1.12359 | − | 0.437185i | ||||
\(641\) | 17.8141 | − | 10.2850i | 0.703613 | − | 0.406231i | −0.105078 | − | 0.994464i | \(-0.533509\pi\) |
0.808692 | + | 0.588233i | \(0.200176\pi\) | |||||||
\(642\) | 28.7081 | + | 29.4530i | 1.13302 | + | 1.16242i | ||||
\(643\) | 12.5057i | 0.493175i | 0.969121 | + | 0.246588i | \(0.0793093\pi\) | ||||
−0.969121 | + | 0.246588i | \(0.920691\pi\) | |||||||
\(644\) | −2.67338 | + | 7.49129i | −0.105346 | + | 0.295198i | ||||
\(645\) | 24.4519 | + | 17.7093i | 0.962792 | + | 0.697302i | ||||
\(646\) | 10.8662 | + | 29.5651i | 0.427524 | + | 1.16322i | ||||
\(647\) | 7.61005 | − | 13.1810i | 0.299182 | − | 0.518198i | −0.676767 | − | 0.736197i | \(-0.736620\pi\) |
0.975949 | + | 0.217999i | \(0.0699530\pi\) | |||||||
\(648\) | 25.2723 | − | 3.05138i | 0.992790 | − | 0.119869i | ||||
\(649\) | −15.7259 | − | 27.2380i | −0.617295 | − | 1.06919i | ||||
\(650\) | −6.68994 | + | 8.02386i | −0.262401 | + | 0.314722i | ||||
\(651\) | −6.29488 | + | 2.81400i | −0.246716 | + | 0.110289i | ||||
\(652\) | 40.4535 | − | 7.39560i | 1.58428 | − | 0.289634i | ||||
\(653\) | −8.75547 | − | 5.05498i | −0.342628 | − | 0.197816i | 0.318805 | − | 0.947820i | \(-0.396718\pi\) |
−0.661434 | + | 0.750004i | \(0.730052\pi\) | |||||||
\(654\) | −0.552631 | − | 0.566971i | −0.0216096 | − | 0.0221703i | ||||
\(655\) | 9.83088i | 0.384124i | ||||||||
\(656\) | 25.4196 | + | 4.15327i | 0.992468 | + | 0.162158i | ||||
\(657\) | −20.8916 | − | 4.37509i | −0.815057 | − | 0.170689i | ||||
\(658\) | 14.7287 | + | 12.2802i | 0.574186 | + | 0.478731i | ||||
\(659\) | −13.1025 | − | 22.6942i | −0.510401 | − | 0.884040i | −0.999927 | − | 0.0120520i | \(-0.996164\pi\) |
0.489526 | − | 0.871988i | \(-0.337170\pi\) | |||||||
\(660\) | 30.5532 | + | 14.6083i | 1.18928 | + | 0.568627i | ||||
\(661\) | −43.6516 | −1.69785 | −0.848926 | − | 0.528512i | \(-0.822750\pi\) | ||||
−0.848926 | + | 0.528512i | \(0.822750\pi\) | |||||||
\(662\) | −3.60068 | + | 1.32338i | −0.139945 | + | 0.0514345i | ||||
\(663\) | 37.2179 | + | 3.85526i | 1.44542 | + | 0.149726i | ||||
\(664\) | 17.4122 | − | 10.2731i | 0.675724 | − | 0.398674i | ||||
\(665\) | − | 24.0576i | − | 0.932915i | ||||||
\(666\) | 3.18346 | + | 1.26349i | 0.123356 | + | 0.0489593i | ||||
\(667\) | 12.9840i | 0.502742i | ||||||||
\(668\) | 7.92894 | + | 43.3708i | 0.306780 | + | 1.67807i | ||||
\(669\) | 7.22302 | − | 9.97310i | 0.279258 | − | 0.385582i | ||||
\(670\) | −23.0799 | + | 21.0051i | −0.891655 | + | 0.811500i | ||||
\(671\) | 15.3179 | 0.591343 | ||||||||
\(672\) | 14.9285 | + | 21.3306i | 0.575878 | + | 0.822846i | ||||
\(673\) | −27.9399 | −1.07700 | −0.538501 | − | 0.842625i | \(-0.681009\pi\) | ||||
−0.538501 | + | 0.842625i | \(0.681009\pi\) | |||||||
\(674\) | −20.6038 | + | 24.7120i | −0.793627 | + | 0.951869i | ||||
\(675\) | 3.59104 | − | 11.2239i | 0.138219 | − | 0.432008i | ||||
\(676\) | 0.859797 | + | 4.70304i | 0.0330691 | + | 0.180886i | ||||
\(677\) | 39.2175 | − | 22.6422i | 1.50725 | − | 0.870211i | 0.507286 | − | 0.861778i | \(-0.330649\pi\) |
0.999964 | − | 0.00843376i | \(-0.00268458\pi\) | |||||||
\(678\) | −19.3649 | − | 5.45557i | −0.743705 | − | 0.209520i | ||||
\(679\) | − | 42.9018i | − | 1.64642i | ||||||
\(680\) | −43.5563 | + | 25.6980i | −1.67031 | + | 0.985473i | ||||
\(681\) | 3.62481 | − | 34.9932i | 0.138903 | − | 1.34094i | ||||
\(682\) | 5.90111 | + | 4.92009i | 0.225965 | + | 0.188400i | ||||
\(683\) | −14.3250 | + | 24.8117i | −0.548132 | + | 0.949393i | 0.450270 | + | 0.892892i | \(0.351328\pi\) |
−0.998403 | + | 0.0565004i | \(0.982006\pi\) | |||||||
\(684\) | −10.5185 | + | 17.1863i | −0.402183 | + | 0.657136i | ||||
\(685\) | 33.1248 | 1.26564 | ||||||||
\(686\) | −4.44735 | + | 25.6942i | −0.169800 | + | 0.981011i | ||||
\(687\) | 36.5745 | − | 16.3499i | 1.39541 | − | 0.623787i | ||||
\(688\) | 16.3739 | − | 20.0196i | 0.624248 | − | 0.763239i | ||||
\(689\) | 9.71873 | + | 5.61111i | 0.370254 | + | 0.213766i | ||||
\(690\) | −2.43552 | − | 9.57857i | −0.0927188 | − | 0.364650i | ||||
\(691\) | 30.1341 | − | 17.3979i | 1.14636 | − | 0.661848i | 0.198359 | − | 0.980129i | \(-0.436439\pi\) |
0.947996 | + | 0.318281i | \(0.103106\pi\) | |||||||
\(692\) | 17.9809 | + | 21.1572i | 0.683531 | + | 0.804276i | ||||
\(693\) | −5.92539 | + | 28.2944i | −0.225087 | + | 1.07482i | ||||
\(694\) | 10.6727 | + | 29.0386i | 0.405130 | + | 1.10229i | ||||
\(695\) | −23.0956 | −0.876068 | ||||||||
\(696\) | 34.6543 | + | 24.6035i | 1.31357 | + | 0.932593i | ||||
\(697\) | −42.7062 | −1.61761 | ||||||||
\(698\) | −20.4944 | − | 3.54732i | −0.775725 | − | 0.134268i | ||||
\(699\) | 3.21332 | + | 0.332855i | 0.121539 | + | 0.0125897i | ||||
\(700\) | 11.8563 | − | 2.16753i | 0.448125 | − | 0.0819250i | ||||
\(701\) | 11.7067 | − | 6.75886i | 0.442155 | − | 0.255279i | −0.262356 | − | 0.964971i | \(-0.584499\pi\) |
0.704511 | + | 0.709693i | \(0.251166\pi\) | |||||||
\(702\) | 12.8388 | + | 20.2009i | 0.484571 | + | 0.762435i | ||||
\(703\) | −2.34787 | + | 1.35554i | −0.0885517 | + | 0.0511253i | ||||
\(704\) | 14.0289 | − | 25.3931i | 0.528733 | − | 0.957038i | ||||
\(705\) | −23.7012 | − | 2.45511i | −0.892637 | − | 0.0924648i | ||||
\(706\) | 27.5688 | + | 22.9857i | 1.03757 | + | 0.865077i | ||||
\(707\) | 20.0254 | − | 34.6850i | 0.753133 | − | 1.30446i | ||||
\(708\) | 16.9943 | + | 24.7766i | 0.638685 | + | 0.931161i | ||||
\(709\) | 4.18449 | − | 7.24774i | 0.157152 | − | 0.272195i | −0.776689 | − | 0.629885i | \(-0.783102\pi\) |
0.933840 | + | 0.357690i | \(0.116436\pi\) | |||||||
\(710\) | 20.8135 | − | 7.64967i | 0.781116 | − | 0.287087i | ||||
\(711\) | 17.2868 | + | 15.4714i | 0.648307 | + | 0.580222i | ||||
\(712\) | 21.3085 | − | 37.7247i | 0.798570 | − | 1.41379i | ||||
\(713\) | − | 2.24223i | − | 0.0839721i | ||||||
\(714\) | −30.1314 | − | 30.9133i | −1.12764 | − | 1.15690i | ||||
\(715\) | 31.8434i | 1.19088i | ||||||||
\(716\) | 6.85469 | + | 2.44620i | 0.256172 | + | 0.0914189i | ||||
\(717\) | 4.11692 | − | 39.7440i | 0.153749 | − | 1.48427i | ||||
\(718\) | −5.62304 | − | 0.973276i | −0.209850 | − | 0.0363223i | ||||
\(719\) | 4.30385 | − | 7.45449i | 0.160507 | − | 0.278006i | −0.774544 | − | 0.632520i | \(-0.782021\pi\) |
0.935050 | + | 0.354515i | \(0.115354\pi\) | |||||||
\(720\) | −30.1803 | − | 11.6501i | −1.12476 | − | 0.434174i | ||||
\(721\) | 11.9033 | − | 20.6171i | 0.443302 | − | 0.767821i | ||||
\(722\) | 3.76729 | + | 10.2502i | 0.140204 | + | 0.381472i | ||||
\(723\) | 4.76800 | + | 3.45323i | 0.177324 | + | 0.128427i | ||||
\(724\) | −2.19441 | − | 12.0033i | −0.0815544 | − | 0.446098i | ||||
\(725\) | 17.0388 | − | 9.83736i | 0.632806 | − | 0.365350i | ||||
\(726\) | 5.10466 | − | 1.29795i | 0.189452 | − | 0.0481715i | ||||
\(727\) | 22.5344 | + | 13.0102i | 0.835755 | + | 0.482523i | 0.855819 | − | 0.517276i | \(-0.173054\pi\) |
−0.0200643 | + | 0.999799i | \(0.506387\pi\) | |||||||
\(728\) | −12.0399 | + | 21.3155i | −0.446228 | + | 0.790003i | ||||
\(729\) | −21.9856 | − | 15.6727i | −0.814280 | − | 0.580472i | ||||
\(730\) | 20.8346 | + | 17.3710i | 0.771124 | + | 0.642929i | ||||
\(731\) | −21.4411 | + | 37.1371i | −0.793029 | + | 1.37357i | ||||
\(732\) | −14.5886 | + | 1.13439i | −0.539211 | + | 0.0419284i | ||||
\(733\) | 0.535517 | + | 0.927542i | 0.0197798 | + | 0.0342595i | 0.875746 | − | 0.482772i | \(-0.160370\pi\) |
−0.855966 | + | 0.517032i | \(0.827037\pi\) | |||||||
\(734\) | 11.2694 | − | 4.14190i | 0.415962 | − | 0.152880i | ||||
\(735\) | 0.116191 | + | 0.259919i | 0.00428578 | + | 0.00958725i | ||||
\(736\) | −8.31365 | + | 1.60105i | −0.306445 | + | 0.0590155i | ||||
\(737\) | −4.06673 | + | 29.4029i | −0.149800 | + | 1.08307i | ||||
\(738\) | −16.9513 | − | 21.4239i | −0.623986 | − | 0.788625i | ||||
\(739\) | −3.80731 | − | 2.19815i | −0.140054 | − | 0.0808603i | 0.428336 | − | 0.903620i | \(-0.359100\pi\) |
−0.568390 | + | 0.822759i | \(0.692433\pi\) | |||||||
\(740\) | −2.81879 | − | 3.31673i | −0.103621 | − | 0.121925i | ||||
\(741\) | −18.8455 | − | 1.95213i | −0.692305 | − | 0.0717132i | ||||
\(742\) | −4.46646 | − | 12.1525i | −0.163969 | − | 0.446131i | ||||
\(743\) | −0.903673 | + | 1.56521i | −0.0331525 | + | 0.0574219i | −0.882126 | − | 0.471014i | \(-0.843888\pi\) |
0.848973 | + | 0.528436i | \(0.177221\pi\) | |||||||
\(744\) | −5.98452 | − | 4.24882i | −0.219403 | − | 0.155769i | ||||
\(745\) | −58.0335 | −2.12618 | ||||||||
\(746\) | −13.2923 | − | 36.1661i | −0.486665 | − | 1.32413i | ||||
\(747\) | −20.9879 | − | 4.39527i | −0.767908 | − | 0.160815i | ||||
\(748\) | −16.1672 | + | 45.3032i | −0.591130 | + | 1.65645i | ||||
\(749\) | 38.6403 | − | 22.3090i | 1.41189 | − | 0.815153i | ||||
\(750\) | 12.9197 | − | 12.5929i | 0.471761 | − | 0.459829i | ||||
\(751\) | 20.2715i | 0.739716i | 0.929088 | + | 0.369858i | \(0.120594\pi\) | ||||
−0.929088 | + | 0.369858i | \(0.879406\pi\) | |||||||
\(752\) | −3.29142 | + | 20.1447i | −0.120026 | + | 0.734602i | ||||
\(753\) | −40.2343 | + | 17.9859i | −1.46622 | + | 0.655443i | ||||
\(754\) | −6.81556 | + | 39.3765i | −0.248208 | + | 1.43401i | ||||
\(755\) | −18.9518 | + | 32.8256i | −0.689728 | + | 1.19464i | ||||
\(756\) | 3.54789 | − | 27.3861i | 0.129036 | − | 0.996022i | ||||
\(757\) | 1.28056 | + | 2.21800i | 0.0465428 | + | 0.0806145i | 0.888358 | − | 0.459151i | \(-0.151846\pi\) |
−0.841815 | + | 0.539765i | \(0.818513\pi\) | |||||||
\(758\) | 28.8864 | + | 24.0843i | 1.04920 | + | 0.874780i | ||||
\(759\) | −7.61348 | − | 5.51407i | −0.276352 | − | 0.200148i | ||||
\(760\) | 22.0549 | − | 13.0123i | 0.800016 | − | 0.472005i | ||||
\(761\) | 21.9523i | 0.795769i | 0.917435 | + | 0.397885i | \(0.130256\pi\) | ||||
−0.917435 | + | 0.397885i | \(0.869744\pi\) | |||||||
\(762\) | −10.1909 | − | 2.87103i | −0.369178 | − | 0.104007i | ||||
\(763\) | −0.743826 | + | 0.429448i | −0.0269283 | + | 0.0155471i | ||||
\(764\) | −2.55419 | + | 2.17073i | −0.0924074 | + | 0.0785344i | ||||
\(765\) | 52.5009 | + | 10.9947i | 1.89817 | + | 0.397514i | ||||
\(766\) | 20.5522 | − | 24.6501i | 0.742582 | − | 0.890646i | ||||
\(767\) | −14.1252 | + | 24.4656i | −0.510032 | + | 0.883401i | ||||
\(768\) | −11.4804 | + | 25.2230i | −0.414263 | + | 0.910157i | ||||
\(769\) | 6.10165 | + | 10.5684i | 0.220031 | + | 0.381105i | 0.954817 | − | 0.297194i | \(-0.0960508\pi\) |
−0.734786 | + | 0.678299i | \(0.762717\pi\) | |||||||
\(770\) | 23.5263 | − | 28.2173i | 0.847831 | − | 1.01688i | ||||
\(771\) | 27.8707 | + | 2.88702i | 1.00374 | + | 0.103973i | ||||
\(772\) | 25.1063 | + | 8.95960i | 0.903597 | + | 0.322463i | ||||
\(773\) | −28.9447 | + | 16.7112i | −1.04107 | + | 0.601062i | −0.920136 | − | 0.391599i | \(-0.871922\pi\) |
−0.120933 | + | 0.992661i | \(0.538589\pi\) | |||||||
\(774\) | −27.1407 | + | 3.98467i | −0.975554 | + | 0.143226i | ||||
\(775\) | −2.94246 | + | 1.69883i | −0.105696 | + | 0.0610238i | ||||
\(776\) | 39.3304 | − | 23.2047i | 1.41188 | − | 0.833001i | ||||
\(777\) | 2.17942 | − | 3.00920i | 0.0781861 | − | 0.107955i | ||||
\(778\) | 19.6328 | + | 16.3689i | 0.703868 | + | 0.586855i | ||||
\(779\) | 21.6245 | 0.774777 | ||||||||
\(780\) | −2.35821 | − | 30.3273i | −0.0844376 | − | 1.08589i | ||||
\(781\) | 10.5457 | − | 18.2657i | 0.377355 | − | 0.653599i | ||||
\(782\) | 13.1761 | − | 4.84267i | 0.471176 | − | 0.173174i | ||||
\(783\) | −9.57083 | − | 44.0504i | −0.342034 | − | 1.57423i | ||||
\(784\) | 0.228114 | − | 0.0862905i | 0.00814693 | − | 0.00308180i | ||||
\(785\) | −10.4683 | − | 6.04386i | −0.373628 | − | 0.215714i | ||||
\(786\) | −6.23468 | − | 6.39647i | −0.222384 | − | 0.228154i | ||||
\(787\) | −9.94926 | − | 5.74421i | −0.354653 | − | 0.204759i | 0.312080 | − | 0.950056i | \(-0.398974\pi\) |
−0.666733 | + | 0.745297i | \(0.732308\pi\) | |||||||
\(788\) | −4.72221 | + | 0.863302i | −0.168222 | + | 0.0307539i | ||||
\(789\) | 28.7455 | + | 20.8189i | 1.02337 | + | 0.741173i | ||||
\(790\) | −10.1708 | − | 27.6730i | −0.361860 | − | 0.984560i | ||||
\(791\) | −10.9126 | + | 18.9011i | −0.388006 | + | 0.672046i | ||||
\(792\) | −29.1439 | + | 9.87175i | −1.03558 | + | 0.350777i | ||||
\(793\) | −6.87940 | − | 11.9155i | −0.244295 | − | 0.423131i | ||||
\(794\) | −50.9921 | − | 8.82608i | −1.80964 | − | 0.313226i | ||||
\(795\) | 13.0295 | + | 9.43661i | 0.462108 | + | 0.334682i | ||||
\(796\) | −12.7972 | − | 15.0578i | −0.453584 | − | 0.533709i | ||||
\(797\) | −42.9834 | + | 24.8165i | −1.52255 | + | 0.879045i | −0.522906 | + | 0.852391i | \(0.675152\pi\) |
−0.999645 | + | 0.0266541i | \(0.991515\pi\) | |||||||
\(798\) | 15.2572 | + | 15.6531i | 0.540099 | + | 0.554114i | ||||
\(799\) | − | 33.8441i | − | 1.19732i | ||||||
\(800\) | 8.39991 | + | 9.69691i | 0.296982 | + | 0.342837i | ||||
\(801\) | −43.6628 | + | 14.3321i | −1.54275 | + | 0.506398i | ||||
\(802\) | 4.31494 | − | 24.9293i | 0.152366 | − | 0.880284i | ||||
\(803\) | 25.8010 | 0.910499 | ||||||||
\(804\) | 1.69563 | − | 28.3041i | 0.0598004 | − | 0.998210i | ||||
\(805\) | −10.7216 | −0.377888 | ||||||||
\(806\) | 1.17699 | − | 6.79999i | 0.0414577 | − | 0.239519i | ||||
\(807\) | 23.9822 | − | 33.1132i | 0.844215 | − | 1.16564i | ||||
\(808\) | 42.6290 | − | 0.402064i | 1.49968 | − | 0.0141446i | ||||
\(809\) | − | 12.7782i | − | 0.449257i | −0.974445 | − | 0.224628i | \(-0.927883\pi\) | ||
0.974445 | − | 0.224628i | \(-0.0721168\pi\) | |||||||
\(810\) | 15.3235 | + | 30.7016i | 0.538414 | + | 1.07875i | ||||
\(811\) | −13.0695 | + | 7.54568i | −0.458932 | + | 0.264965i | −0.711595 | − | 0.702590i | \(-0.752027\pi\) |
0.252663 | + | 0.967554i | \(0.418694\pi\) | |||||||
\(812\) | 35.1313 | − | 29.8571i | 1.23287 | − | 1.04778i | ||||
\(813\) | 4.59797 | − | 6.34859i | 0.161258 | − | 0.222655i | ||||
\(814\) | −4.07944 | − | 0.706098i | −0.142984 | − | 0.0247487i | ||||
\(815\) | 27.7166 | + | 48.0065i | 0.970869 | + | 1.68159i | ||||
\(816\) | 12.0424 | − | 44.3435i | 0.421569 | − | 1.55233i | ||||
\(817\) | 10.8568 | − | 18.8046i | 0.379832 | − | 0.657888i | ||||
\(818\) | 0.505910 | + | 1.37650i | 0.0176887 | + | 0.0481280i | ||||
\(819\) | 24.6707 | − | 8.09800i | 0.862064 | − | 0.282967i | ||||
\(820\) | 6.24371 | + | 34.1527i | 0.218040 | + | 1.19266i | ||||
\(821\) | 23.9170 | + | 13.8085i | 0.834708 | + | 0.481919i | 0.855462 | − | 0.517866i | \(-0.173273\pi\) |
−0.0207538 | + | 0.999785i | \(0.506607\pi\) | |||||||
\(822\) | −21.5527 | + | 21.0076i | −0.751736 | + | 0.732723i | ||||
\(823\) | −16.9467 | − | 9.78416i | −0.590724 | − | 0.341054i | 0.174660 | − | 0.984629i | \(-0.444117\pi\) |
−0.765384 | + | 0.643574i | \(0.777451\pi\) | |||||||
\(824\) | 25.3391 | − | 0.238991i | 0.882728 | − | 0.00832564i | ||||
\(825\) | −1.46770 | + | 14.1689i | −0.0510987 | + | 0.493297i | ||||
\(826\) | 30.5922 | − | 11.2437i | 1.06444 | − | 0.391218i | ||||
\(827\) | 17.4936 | − | 30.2998i | 0.608312 | − | 1.05363i | −0.383206 | − | 0.923663i | \(-0.625180\pi\) |
0.991519 | − | 0.129965i | \(-0.0414866\pi\) | |||||||
\(828\) | 7.65934 | + | 4.68770i | 0.266181 | + | 0.162909i | ||||
\(829\) | −12.4727 | −0.433193 | −0.216597 | − | 0.976261i | \(-0.569496\pi\) | ||||
−0.216597 | + | 0.976261i | \(0.569496\pi\) | |||||||
\(830\) | 20.9307 | + | 17.4511i | 0.726516 | + | 0.605737i | ||||
\(831\) | −15.2366 | − | 11.0351i | −0.528551 | − | 0.382803i | ||||
\(832\) | −26.0532 | + | 0.491495i | −0.903231 | + | 0.0170395i | ||||
\(833\) | −0.350207 | + | 0.202192i | −0.0121340 | + | 0.00700555i | ||||
\(834\) | 15.0272 | − | 14.6471i | 0.520349 | − | 0.507188i | ||||
\(835\) | −51.4685 | + | 29.7154i | −1.78114 | + | 1.02834i | ||||
\(836\) | 8.18632 | − | 22.9395i | 0.283130 | − | 0.793379i | ||||
\(837\) | 1.65280 | + | 7.60713i | 0.0571292 | + | 0.262941i | ||||
\(838\) | 1.32712 | − | 1.59173i | 0.0458445 | − | 0.0549855i | ||||
\(839\) | −16.1231 | − | 27.9260i | −0.556631 | − | 0.964112i | −0.997775 | − | 0.0666762i | \(-0.978761\pi\) |
0.441144 | − | 0.897436i | \(-0.354573\pi\) | |||||||
\(840\) | −20.3165 | + | 28.6161i | −0.700987 | + | 0.987349i | ||||
\(841\) | 23.1303 | − | 40.0629i | 0.797597 | − | 1.38148i | ||||
\(842\) | −25.2036 | + | 30.2290i | −0.868575 | + | 1.04176i | ||||
\(843\) | 14.1974 | + | 31.7595i | 0.488985 | + | 1.09385i | ||||
\(844\) | −17.9812 | − | 21.1576i | −0.618940 | − | 0.728275i | ||||
\(845\) | −5.58113 | + | 3.22227i | −0.191997 | + | 0.110849i | ||||
\(846\) | 16.9782 | − | 13.4337i | 0.583722 | − | 0.461860i | ||||
\(847\) | − | 5.71383i | − | 0.196329i | ||||||
\(848\) | 8.72501 | − | 10.6677i | 0.299618 | − | 0.366329i | ||||
\(849\) | −26.4420 | + | 36.5094i | −0.907486 | + | 1.25300i | ||||
\(850\) | −16.3379 | − | 13.6219i | −0.560386 | − | 0.467226i | ||||
\(851\) | 0.604118 | + | 1.04636i | 0.0207089 | + | 0.0358689i | ||||
\(852\) | −8.69092 | + | 18.1770i | −0.297746 | + | 0.622735i | ||||
\(853\) | −5.18959 | + | 8.98864i | −0.177688 | + | 0.307765i | −0.941088 | − | 0.338161i | \(-0.890195\pi\) |
0.763400 | + | 0.645926i | \(0.223529\pi\) | |||||||
\(854\) | −2.70729 | + | 15.6412i | −0.0926417 | + | 0.535231i | ||||
\(855\) | −26.5841 | − | 5.56722i | −0.909156 | − | 0.190395i | ||||
\(856\) | 41.3516 | + | 23.3572i | 1.41337 | + | 0.798331i | ||||
\(857\) | − | 11.0582i | − | 0.377740i | −0.982002 | − | 0.188870i | \(-0.939518\pi\) | ||
0.982002 | − | 0.188870i | \(-0.0604825\pi\) | |||||||
\(858\) | −20.1949 | − | 20.7189i | −0.689442 | − | 0.707333i | ||||
\(859\) | −41.4210 | + | 23.9144i | −1.41327 | + | 0.815950i | −0.995695 | − | 0.0926932i | \(-0.970452\pi\) |
−0.417573 | + | 0.908644i | \(0.637119\pi\) | |||||||
\(860\) | 32.8338 | + | 11.7173i | 1.11962 | + | 0.399555i | ||||
\(861\) | −27.0559 | + | 12.0948i | −0.922061 | + | 0.412188i | ||||
\(862\) | 1.94721 | + | 5.29804i | 0.0663223 | + | 0.180452i | ||||
\(863\) | −36.9722 | −1.25855 | −0.629274 | − | 0.777184i | \(-0.716648\pi\) | ||||
−0.629274 | + | 0.777184i | \(0.716648\pi\) | |||||||
\(864\) | 27.0253 | − | 11.5600i | 0.919419 | − | 0.393280i | ||||
\(865\) | −18.7135 | + | 32.4127i | −0.636278 | + | 1.10207i | ||||
\(866\) | −7.33383 | − | 19.9541i | −0.249214 | − | 0.678069i | ||||
\(867\) | −4.81611 | + | 46.4938i | −0.163564 | + | 1.57901i | ||||
\(868\) | −6.06688 | + | 5.15607i | −0.205923 | + | 0.175008i | ||||
\(869\) | −24.2856 | − | 14.0213i | −0.823831 | − | 0.475639i | ||||
\(870\) | −15.5347 | + | 55.1416i | −0.526677 | + | 1.86947i | ||||
\(871\) | 24.6982 | − | 10.0416i | 0.836868 | − | 0.340248i | ||||
\(872\) | −0.796019 | − | 0.449626i | −0.0269566 | − | 0.0152262i | ||||
\(873\) | −47.4072 | − | 9.92798i | −1.60449 | − | 0.336011i | ||||
\(874\) | −6.67178 | + | 2.45211i | −0.225676 | + | 0.0829439i | ||||
\(875\) | −9.78594 | − | 16.9498i | −0.330825 | − | 0.573006i | ||||
\(876\) | −24.5726 | + | 1.91074i | −0.830232 | + | 0.0645578i | ||||
\(877\) | −3.07553 | + | 5.32697i | −0.103853 | + | 0.179879i | −0.913269 | − | 0.407357i | \(-0.866451\pi\) |
0.809416 | + | 0.587236i | \(0.199784\pi\) | |||||||
\(878\) | 18.3871 | + | 15.3304i | 0.620534 | + | 0.517374i | ||||
\(879\) | −29.9189 | + | 41.3102i | −1.00914 | + | 1.39336i | ||||
\(880\) | 38.5932 | + | 6.30570i | 1.30098 | + | 0.212565i | ||||
\(881\) | 14.4267 | + | 8.32923i | 0.486046 | + | 0.280619i | 0.722933 | − | 0.690918i | \(-0.242794\pi\) |
−0.236886 | + | 0.971537i | \(0.576127\pi\) | |||||||
\(882\) | −0.240439 | − | 0.0954284i | −0.00809599 | − | 0.00321324i | ||||
\(883\) | 29.1625 | − | 16.8370i | 0.981396 | − | 0.566609i | 0.0787048 | − | 0.996898i | \(-0.474922\pi\) |
0.902691 | + | 0.430289i | \(0.141588\pi\) | |||||||
\(884\) | 42.5011 | − | 7.76994i | 1.42947 | − | 0.261331i | ||||
\(885\) | −23.7554 | + | 32.8000i | −0.798529 | + | 1.10256i | ||||
\(886\) | −18.2448 | − | 49.6410i | −0.612946 | − | 1.66772i | ||||
\(887\) | −21.4466 | + | 37.1466i | −0.720106 | + | 1.24726i | 0.240850 | + | 0.970562i | \(0.422574\pi\) |
−0.960957 | + | 0.276699i | \(0.910760\pi\) | |||||||
\(888\) | 3.93750 | + | 0.370371i | 0.132134 | + | 0.0124288i | ||||
\(889\) | −5.74282 | + | 9.94685i | −0.192608 | + | 0.333607i | ||||
\(890\) | 57.5467 | + | 9.96059i | 1.92897 | + | 0.333880i | ||||
\(891\) | 29.8946 | + | 13.0953i | 1.00151 | + | 0.438709i | ||||
\(892\) | 4.77907 | − | 13.3918i | 0.160015 | − | 0.448390i | ||||
\(893\) | 17.1371i | 0.573472i | ||||||||
\(894\) | 37.7595 | − | 36.8045i | 1.26287 | − | 1.23093i | ||||
\(895\) | 9.81052i | 0.327930i | ||||||||
\(896\) | 23.4495 | + | 18.8129i | 0.783393 | + | 0.628495i | ||||
\(897\) | −0.869994 | + | 8.39875i | −0.0290483 | + | 0.280426i | ||||
\(898\) | −47.4707 | + | 17.4471i | −1.58412 | + | 0.582218i | ||||
\(899\) | −6.49844 | + | 11.2556i | −0.216735 | + | 0.375396i | ||||
\(900\) | 0.348521 | − | 13.6030i | 0.0116174 | − | 0.453432i | ||||
\(901\) | −11.4252 | + | 19.7890i | −0.380627 | + | 0.659266i | ||||
\(902\) | 25.3634 | + | 21.1469i | 0.844509 | + | 0.704115i | ||||
\(903\) | −3.06615 | + | 29.6000i | −0.102035 | + | 0.985026i | ||||
\(904\) | −23.2301 | + | 0.219099i | −0.772620 | + | 0.00728713i | ||||
\(905\) | 14.2444 | − | 8.22400i | 0.473499 | − | 0.273375i | ||||
\(906\) | −8.48673 | − | 33.3771i | −0.281953 | − | 1.10888i | ||||
\(907\) | −37.5266 | + | 21.6660i | −1.24605 | + | 0.719407i | −0.970319 | − | 0.241828i | \(-0.922253\pi\) |
−0.275730 | + | 0.961235i | \(0.588920\pi\) | |||||||
\(908\) | −7.30549 | − | 39.9606i | −0.242441 | − | 1.32614i | ||||
\(909\) | −33.6934 | − | 30.1549i | −1.11754 | − | 1.00018i | ||||
\(910\) | −32.5154 | − | 5.62800i | −1.07788 | − | 0.186567i | ||||
\(911\) | −28.9203 | −0.958172 | −0.479086 | − | 0.877768i | \(-0.659032\pi\) | ||||
−0.479086 | + | 0.877768i | \(0.659032\pi\) | |||||||
\(912\) | −6.09774 | + | 22.4535i | −0.201916 | + | 0.743511i | ||||
\(913\) | 25.9201 | 0.857829 | ||||||||
\(914\) | 10.0041 | + | 27.2196i | 0.330908 | + | 0.900344i | ||||
\(915\) | −8.04959 | − | 18.0068i | −0.266111 | − | 0.595288i | ||||
\(916\) | 35.2498 | − | 29.9578i | 1.16469 | − | 0.989834i | ||||
\(917\) | −8.39172 | + | 4.84496i | −0.277119 | + | 0.159995i | ||||
\(918\) | −41.1325 | + | 26.1420i | −1.35757 | + | 0.862816i | ||||
\(919\) | 13.8299 | + | 7.98469i | 0.456206 | + | 0.263391i | 0.710448 | − | 0.703750i | \(-0.248492\pi\) |
−0.254242 | + | 0.967141i | \(0.581826\pi\) | |||||||
\(920\) | −5.79912 | − | 9.82910i | −0.191191 | − | 0.324056i | ||||
\(921\) | 6.54234 | + | 14.6351i | 0.215577 | + | 0.482245i | ||||
\(922\) | 5.25480 | − | 30.3593i | 0.173058 | − | 0.999830i | ||||
\(923\) | −18.9446 | −0.623570 | ||||||||
\(924\) | 2.58780 | + | 33.2798i | 0.0851323 | + | 1.09483i | ||||
\(925\) | 0.915424 | − | 1.58556i | 0.0300990 | − | 0.0521329i | ||||
\(926\) | 37.3099 | + | 31.1074i | 1.22608 | + | 1.02225i | ||||
\(927\) | −20.0277 | − | 17.9244i | −0.657795 | − | 0.588714i | ||||
\(928\) | 46.3734 | + | 16.0577i | 1.52228 | + | 0.527118i | ||||
\(929\) | − | 20.0684i | − | 0.658422i | −0.944256 | − | 0.329211i | \(-0.893217\pi\) | ||
0.944256 | − | 0.329211i | \(-0.106783\pi\) | |||||||
\(930\) | 2.68272 | − | 9.52249i | 0.0879698 | − | 0.312255i | ||||
\(931\) | 0.177329 | − | 0.102381i | 0.00581173 | − | 0.00335540i | ||||
\(932\) | 3.66946 | − | 0.670841i | 0.120197 | − | 0.0219741i | ||||
\(933\) | 40.4259 | + | 29.2784i | 1.32348 | + | 0.958533i | ||||
\(934\) | 16.2217 | − | 19.4561i | 0.530789 | − | 0.636623i | ||||
\(935\) | −64.8386 | −2.12045 | ||||||||
\(936\) | 20.7678 | + | 18.2369i | 0.678815 | + | 0.596092i | ||||
\(937\) | 57.0219 | 1.86282 | 0.931412 | − | 0.363966i | \(-0.118578\pi\) | ||||
0.931412 | + | 0.363966i | \(0.118578\pi\) | |||||||
\(938\) | −29.3046 | − | 9.34922i | −0.956831 | − | 0.305263i | ||||
\(939\) | −36.0345 | − | 26.0980i | −1.17594 | − | 0.851676i | ||||
\(940\) | −27.0656 | + | 4.94806i | −0.882783 | + | 0.161388i | ||||
\(941\) | 37.5791i | 1.22504i | 0.790454 | + | 0.612522i | \(0.209845\pi\) | ||||
−0.790454 | + | 0.612522i | \(0.790155\pi\) | |||||||
\(942\) | 10.6442 | − | 2.70647i | 0.346805 | − | 0.0881816i | ||||
\(943\) | − | 9.63726i | − | 0.313832i | ||||||
\(944\) | 26.8544 | + | 21.9640i | 0.874037 | + | 0.714869i | ||||
\(945\) | 36.3750 | − | 7.90319i | 1.18328 | − | 0.257091i | ||||
\(946\) | 31.1233 | − | 11.4389i | 1.01190 | − | 0.371910i | ||||
\(947\) | 2.98264 | 0.0969228 | 0.0484614 | − | 0.998825i | \(-0.484568\pi\) | ||||
0.0484614 | + | 0.998825i | \(0.484568\pi\) | |||||||
\(948\) | 24.1676 | + | 11.5552i | 0.784929 | + | 0.375295i | ||||
\(949\) | −11.5874 | − | 20.0700i | −0.376144 | − | 0.651501i | ||||
\(950\) | 8.27279 | + | 6.89749i | 0.268405 | + | 0.223784i | ||||
\(951\) | 13.3718 | + | 29.9125i | 0.433609 | + | 0.969979i | ||||
\(952\) | −43.4019 | − | 24.5152i | −1.40666 | − | 0.794543i | ||||
\(953\) | 29.9705i | 0.970841i | 0.874281 | + | 0.485420i | \(0.161333\pi\) | ||||
−0.874281 | + | 0.485420i | \(0.838667\pi\) | |||||||
\(954\) | −14.4623 | + | 2.12328i | −0.468233 | + | 0.0687437i | ||||
\(955\) | −3.91301 | − | 2.25918i | −0.126622 | − | 0.0731053i | ||||
\(956\) | −8.29730 | − | 45.3857i | −0.268354 | − | 1.46788i | ||||
\(957\) | 22.2376 | + | 49.7452i | 0.718839 | + | 1.60803i | ||||
\(958\) | −15.5048 | + | 18.5963i | −0.500937 | + | 0.600819i | ||||
\(959\) | 16.3249 | + | 28.2756i | 0.527160 | + | 0.913067i | ||||
\(960\) | −37.2227 | − | 3.14740i | −1.20136 | − | 0.101582i | ||||
\(961\) | −14.3778 | + | 24.9030i | −0.463799 | + | 0.803324i | ||||
\(962\) | 1.28285 | + | 3.49041i | 0.0413607 | + | 0.112535i | ||||
\(963\) | −15.7100 | − | 47.8607i | −0.506247 | − | 1.54229i | ||||
\(964\) | 6.40243 | + | 2.28481i | 0.206208 | + | 0.0735888i | ||||
\(965\) | 35.9326i | 1.15671i | ||||||||
\(966\) | 6.97604 | − | 6.79959i | 0.224450 | − | 0.218773i | ||||
\(967\) | −9.48674 | + | 5.47717i | −0.305073 | + | 0.176134i | −0.644720 | − | 0.764419i | \(-0.723026\pi\) |
0.339647 | + | 0.940553i | \(0.389693\pi\) | |||||||
\(968\) | 5.23817 | − | 3.09049i | 0.168361 | − | 0.0993322i | ||||
\(969\) | 3.97486 | − | 38.3725i | 0.127691 | − | 1.23270i | ||||
\(970\) | 47.2780 | + | 39.4183i | 1.51800 | + | 1.26565i | ||||
\(971\) | −25.5428 | − | 44.2414i | −0.819706 | − | 1.41977i | −0.905899 | − | 0.423494i | \(-0.860803\pi\) |
0.0861926 | − | 0.996278i | \(-0.472530\pi\) | |||||||
\(972\) | −29.4410 | − | 10.2579i | −0.944322 | − | 0.329023i | ||||
\(973\) | −11.3822 | − | 19.7146i | −0.364898 | − | 0.632022i | ||||
\(974\) | −19.1410 | − | 15.9589i | −0.613317 | − | 0.511357i | ||||
\(975\) | 11.6808 | − | 5.22166i | 0.374085 | − | 0.167227i | ||||
\(976\) | −15.8035 | + | 5.97809i | −0.505856 | + | 0.191354i | ||||
\(977\) | −15.0360 | − | 8.68103i | −0.481044 | − | 0.277731i | 0.239807 | − | 0.970820i | \(-0.422916\pi\) |
−0.720851 | + | 0.693090i | \(0.756249\pi\) | |||||||
\(978\) | −48.4792 | − | 13.6578i | −1.55019 | − | 0.436728i | ||||
\(979\) | 48.1070 | − | 27.7746i | 1.53751 | − | 0.887680i | ||||
\(980\) | 0.212897 | + | 0.250505i | 0.00680073 | + | 0.00800208i | ||||
\(981\) | 0.302417 | + | 0.921320i | 0.00965544 | + | 0.0294155i | ||||
\(982\) | 11.2131 | + | 1.94085i | 0.357825 | + | 0.0619350i | ||||
\(983\) | −11.4476 | −0.365122 | −0.182561 | − | 0.983195i | \(-0.558439\pi\) | ||||
−0.182561 | + | 0.983195i | \(0.558439\pi\) | |||||||
\(984\) | −25.7219 | − | 18.2617i | −0.819984 | − | 0.582163i | ||||
\(985\) | −3.23541 | − | 5.60389i | −0.103089 | − | 0.178555i | ||||
\(986\) | −80.1771 | − | 13.8776i | −2.55336 | − | 0.441954i | ||||
\(987\) | −9.58496 | − | 21.4414i | −0.305093 | − | 0.682489i | ||||
\(988\) | −21.5206 | + | 3.93434i | −0.684662 | + | 0.125168i | ||||
\(989\) | −8.38052 | − | 4.83850i | −0.266485 | − | 0.153855i | ||||
\(990\) | −25.7363 | − | 32.5268i | −0.817953 | − | 1.03377i | ||||
\(991\) | − | 29.2457i | − | 0.929021i | −0.885568 | − | 0.464511i | \(-0.846230\pi\) | ||
0.885568 | − | 0.464511i | \(-0.153770\pi\) | |||||||
\(992\) | −8.00830 | − | 2.77302i | −0.254264 | − | 0.0880436i | ||||
\(993\) | 4.67333 | + | 0.484092i | 0.148304 | + | 0.0153622i | ||||
\(994\) | 16.7873 | + | 13.9966i | 0.532462 | + | 0.443944i | ||||
\(995\) | 13.3186 | − | 23.0685i | 0.422227 | − | 0.731319i | ||||
\(996\) | −24.6860 | + | 1.91955i | −0.782205 | + | 0.0608232i | ||||
\(997\) | −18.5302 | −0.586856 | −0.293428 | − | 0.955981i | \(-0.594796\pi\) | ||||
−0.293428 | + | 0.955981i | \(0.594796\pi\) | |||||||
\(998\) | −46.1289 | − | 38.4602i | −1.46018 | − | 1.21744i | ||||
\(999\) | −2.82087 | − | 3.10465i | −0.0892485 | − | 0.0982269i |
(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 | 804.2.l.a.431.9 | ✓ | 264 | |
3.2 | odd | 2 | inner | 804.2.l.a.431.124 | yes | 264 | |
4.3 | odd | 2 | inner | 804.2.l.a.431.38 | yes | 264 | |
12.11 | even | 2 | inner | 804.2.l.a.431.95 | yes | 264 | |
67.37 | even | 3 | inner | 804.2.l.a.707.95 | yes | 264 | |
201.104 | odd | 6 | inner | 804.2.l.a.707.38 | yes | 264 | |
268.171 | odd | 6 | inner | 804.2.l.a.707.124 | yes | 264 | |
804.707 | even | 6 | inner | 804.2.l.a.707.9 | yes | 264 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.l.a.431.9 | ✓ | 264 | 1.1 | even | 1 | trivial | |
804.2.l.a.431.38 | yes | 264 | 4.3 | odd | 2 | inner | |
804.2.l.a.431.95 | yes | 264 | 12.11 | even | 2 | inner | |
804.2.l.a.431.124 | yes | 264 | 3.2 | odd | 2 | inner | |
804.2.l.a.707.9 | yes | 264 | 804.707 | even | 6 | inner | |
804.2.l.a.707.38 | yes | 264 | 201.104 | odd | 6 | inner | |
804.2.l.a.707.95 | yes | 264 | 67.37 | even | 3 | inner | |
804.2.l.a.707.124 | yes | 264 | 268.171 | odd | 6 | inner |