Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(89,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.89");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.n (of order \(22\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 659.16 | ||
Character | \(\chi\) | \(=\) | 690.659 |
Dual form | 690.2.n.a.89.16 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{17}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.142315 | + | 0.989821i | −0.100632 | + | 0.699909i | ||||
\(3\) | 0.748393 | − | 1.56202i | 0.432085 | − | 0.901833i | ||||
\(4\) | −0.959493 | − | 0.281733i | −0.479746 | − | 0.140866i | ||||
\(5\) | −1.64573 | − | 1.51379i | −0.735993 | − | 0.676989i | ||||
\(6\) | 1.43961 | + | 0.963074i | 0.587720 | + | 0.393173i | ||||
\(7\) | 1.66558 | + | 1.07040i | 0.629529 | + | 0.404574i | 0.816135 | − | 0.577861i | \(-0.196113\pi\) |
−0.186606 | + | 0.982435i | \(0.559749\pi\) | |||||||
\(8\) | 0.415415 | − | 0.909632i | 0.146871 | − | 0.321603i | ||||
\(9\) | −1.87982 | − | 2.33801i | −0.626606 | − | 0.779336i | ||||
\(10\) | 1.73260 | − | 1.41354i | 0.547896 | − | 0.447002i | ||||
\(11\) | 0.163968 | + | 1.14042i | 0.0494383 | + | 0.343851i | 0.999495 | + | 0.0317739i | \(0.0101156\pi\) |
−0.950057 | + | 0.312077i | \(0.898975\pi\) | |||||||
\(12\) | −1.15815 | + | 1.28790i | −0.334329 | + | 0.371785i | ||||
\(13\) | −3.31360 | − | 5.15606i | −0.919027 | − | 1.43003i | −0.902749 | − | 0.430167i | \(-0.858455\pi\) |
−0.0162778 | − | 0.999868i | \(-0.505182\pi\) | |||||||
\(14\) | −1.29654 | + | 1.49629i | −0.346515 | + | 0.399900i | ||||
\(15\) | −3.59623 | + | 1.43775i | −0.928543 | + | 0.371226i | ||||
\(16\) | 0.841254 | + | 0.540641i | 0.210313 | + | 0.135160i | ||||
\(17\) | −0.599806 | − | 2.04275i | −0.145474 | − | 0.495440i | 0.854226 | − | 0.519901i | \(-0.174031\pi\) |
−0.999701 | + | 0.0244610i | \(0.992213\pi\) | |||||||
\(18\) | 2.58174 | − | 1.52795i | 0.608521 | − | 0.360141i | ||||
\(19\) | −0.290163 | + | 0.988203i | −0.0665679 | + | 0.226709i | −0.986058 | − | 0.166405i | \(-0.946784\pi\) |
0.919490 | + | 0.393114i | \(0.128602\pi\) | |||||||
\(20\) | 1.15258 | + | 1.91613i | 0.257725 | + | 0.428460i | ||||
\(21\) | 2.91849 | − | 1.80058i | 0.636867 | − | 0.392920i | ||||
\(22\) | −1.15215 | −0.245640 | ||||||||
\(23\) | −4.69475 | − | 0.979447i | −0.978923 | − | 0.204229i | ||||
\(24\) | −1.10997 | − | 1.32965i | −0.226572 | − | 0.271413i | ||||
\(25\) | 0.416853 | + | 4.98259i | 0.0833706 | + | 0.996519i | ||||
\(26\) | 5.57516 | − | 2.54609i | 1.09338 | − | 0.499329i | ||||
\(27\) | −5.05886 | + | 1.18656i | −0.973578 | + | 0.228354i | ||||
\(28\) | −1.29654 | − | 1.49629i | −0.245023 | − | 0.282772i | ||||
\(29\) | −0.730713 | − | 2.48858i | −0.135690 | − | 0.462118i | 0.863411 | − | 0.504500i | \(-0.168323\pi\) |
−0.999101 | + | 0.0423827i | \(0.986505\pi\) | |||||||
\(30\) | −0.911320 | − | 3.76424i | −0.166384 | − | 0.687253i | ||||
\(31\) | −2.50579 | + | 5.48692i | −0.450053 | + | 0.985479i | 0.539590 | + | 0.841928i | \(0.318579\pi\) |
−0.989643 | + | 0.143551i | \(0.954148\pi\) | |||||||
\(32\) | −0.654861 | + | 0.755750i | −0.115764 | + | 0.133599i | ||||
\(33\) | 1.90408 | + | 0.597363i | 0.331458 | + | 0.103988i | ||||
\(34\) | 2.10732 | − | 0.302987i | 0.361403 | − | 0.0519619i | ||||
\(35\) | −1.12072 | − | 4.28293i | −0.189437 | − | 0.723947i | ||||
\(36\) | 1.14498 | + | 2.77291i | 0.190830 | + | 0.462152i | ||||
\(37\) | 5.56307 | − | 6.42013i | 0.914563 | − | 1.05546i | −0.0836962 | − | 0.996491i | \(-0.526673\pi\) |
0.998260 | − | 0.0589712i | \(-0.0187820\pi\) | |||||||
\(38\) | −0.936850 | − | 0.427845i | −0.151977 | − | 0.0694057i | ||||
\(39\) | −10.5337 | + | 1.31715i | −1.68675 | + | 0.210913i | ||||
\(40\) | −2.06066 | + | 0.868156i | −0.325818 | + | 0.137267i | ||||
\(41\) | 2.34577 | − | 2.03262i | 0.366348 | − | 0.317442i | −0.452161 | − | 0.891936i | \(-0.649347\pi\) |
0.818509 | + | 0.574494i | \(0.194801\pi\) | |||||||
\(42\) | 1.36691 | + | 3.14504i | 0.210919 | + | 0.485290i | ||||
\(43\) | −5.08716 | − | 11.1393i | −0.775785 | − | 1.69873i | −0.713481 | − | 0.700675i | \(-0.752882\pi\) |
−0.0623041 | − | 0.998057i | \(-0.519845\pi\) | |||||||
\(44\) | 0.163968 | − | 1.14042i | 0.0247192 | − | 0.171925i | ||||
\(45\) | −0.445595 | + | 6.69339i | −0.0664253 | + | 0.997791i | ||||
\(46\) | 1.63761 | − | 4.50757i | 0.241453 | − | 0.664606i | ||||
\(47\) | −4.55049 | −0.663757 | −0.331879 | − | 0.943322i | \(-0.607682\pi\) | ||||
−0.331879 | + | 0.943322i | \(0.607682\pi\) | |||||||
\(48\) | 1.47408 | − | 0.909444i | 0.212765 | − | 0.131267i | ||||
\(49\) | −1.27952 | − | 2.80176i | −0.182788 | − | 0.400251i | ||||
\(50\) | −4.99120 | − | 0.296487i | −0.705863 | − | 0.0419296i | ||||
\(51\) | −3.63971 | − | 0.591871i | −0.509662 | − | 0.0828785i | ||||
\(52\) | 1.72675 | + | 5.88075i | 0.239456 | + | 0.815514i | ||||
\(53\) | 2.42234 | − | 3.76924i | 0.332734 | − | 0.517745i | −0.634066 | − | 0.773279i | \(-0.718615\pi\) |
0.966800 | + | 0.255534i | \(0.0822514\pi\) | |||||||
\(54\) | −0.454536 | − | 5.17623i | −0.0618545 | − | 0.704396i | ||||
\(55\) | 1.45652 | − | 2.12505i | 0.196397 | − | 0.286541i | ||||
\(56\) | 1.66558 | − | 1.07040i | 0.222572 | − | 0.143038i | ||||
\(57\) | 1.32644 | + | 1.19280i | 0.175691 | + | 0.157991i | ||||
\(58\) | 2.56724 | − | 0.369114i | 0.337095 | − | 0.0484670i | ||||
\(59\) | 3.10824 | + | 4.83651i | 0.404658 | + | 0.629660i | 0.982450 | − | 0.186524i | \(-0.0597221\pi\) |
−0.577793 | + | 0.816184i | \(0.696086\pi\) | |||||||
\(60\) | 3.85562 | − | 0.366337i | 0.497758 | − | 0.0472939i | ||||
\(61\) | −9.92774 | − | 4.53385i | −1.27112 | − | 0.580499i | −0.338363 | − | 0.941016i | \(-0.609873\pi\) |
−0.932753 | + | 0.360516i | \(0.882601\pi\) | |||||||
\(62\) | −5.07446 | − | 3.26115i | −0.644457 | − | 0.414167i | ||||
\(63\) | −0.628371 | − | 5.90629i | −0.0791674 | − | 0.744123i | ||||
\(64\) | −0.654861 | − | 0.755750i | −0.0818576 | − | 0.0944687i | ||||
\(65\) | −2.35193 | + | 13.5016i | −0.291721 | + | 1.67467i | ||||
\(66\) | −0.862262 | + | 1.79969i | −0.106137 | + | 0.221526i | ||||
\(67\) | 0.884738 | − | 6.15349i | 0.108088 | − | 0.751768i | −0.861629 | − | 0.507538i | \(-0.830556\pi\) |
0.969717 | − | 0.244230i | \(-0.0785352\pi\) | |||||||
\(68\) | 2.12899i | 0.258178i | ||||||||
\(69\) | −5.04343 | + | 6.60029i | −0.607158 | + | 0.794581i | ||||
\(70\) | 4.39883 | − | 0.499790i | 0.525761 | − | 0.0597363i | ||||
\(71\) | 12.3693 | + | 1.77844i | 1.46797 | + | 0.211062i | 0.829465 | − | 0.558559i | \(-0.188646\pi\) |
0.638501 | + | 0.769621i | \(0.279555\pi\) | |||||||
\(72\) | −2.90763 | + | 0.738698i | −0.342668 | + | 0.0870563i | ||||
\(73\) | −0.762867 | + | 2.59809i | −0.0892868 | + | 0.304083i | −0.992014 | − | 0.126131i | \(-0.959744\pi\) |
0.902727 | + | 0.430214i | \(0.141562\pi\) | |||||||
\(74\) | 5.56307 | + | 6.42013i | 0.646694 | + | 0.746325i | ||||
\(75\) | 8.09488 | + | 3.07780i | 0.934717 | + | 0.355394i | ||||
\(76\) | 0.556818 | − | 0.866426i | 0.0638714 | − | 0.0993859i | ||||
\(77\) | −0.947610 | + | 2.07498i | −0.107990 | + | 0.236465i | ||||
\(78\) | 0.195363 | − | 10.6140i | 0.0221205 | − | 1.20180i | ||||
\(79\) | 6.33604 | + | 9.85907i | 0.712860 | + | 1.10923i | 0.988971 | + | 0.148107i | \(0.0473179\pi\) |
−0.276111 | + | 0.961126i | \(0.589046\pi\) | |||||||
\(80\) | −0.566057 | − | 2.16323i | −0.0632871 | − | 0.241857i | ||||
\(81\) | −1.93258 | + | 8.79006i | −0.214731 | + | 0.976673i | ||||
\(82\) | 1.67810 | + | 2.61117i | 0.185315 | + | 0.288355i | ||||
\(83\) | 12.6878 | + | 10.9940i | 1.39266 | + | 1.20675i | 0.950854 | + | 0.309640i | \(0.100208\pi\) |
0.441809 | + | 0.897109i | \(0.354337\pi\) | |||||||
\(84\) | −3.30756 | + | 0.905414i | −0.360884 | + | 0.0987887i | ||||
\(85\) | −2.10519 | + | 4.26980i | −0.228340 | + | 0.463125i | ||||
\(86\) | 11.7499 | − | 3.45009i | 1.26703 | − | 0.372033i | ||||
\(87\) | −4.43407 | − | 0.721046i | −0.475383 | − | 0.0773042i | ||||
\(88\) | 1.10548 | + | 0.324599i | 0.117845 | + | 0.0346023i | ||||
\(89\) | −4.37896 | − | 9.58859i | −0.464169 | − | 1.01639i | −0.986517 | − | 0.163656i | \(-0.947671\pi\) |
0.522348 | − | 0.852732i | \(-0.325056\pi\) | |||||||
\(90\) | −6.56184 | − | 1.39363i | −0.691679 | − | 0.146901i | ||||
\(91\) | − | 12.1347i | − | 1.27206i | ||||||
\(92\) | 4.22864 | + | 2.26244i | 0.440866 | + | 0.235875i | ||||
\(93\) | 6.69536 | + | 8.02046i | 0.694277 | + | 0.831683i | ||||
\(94\) | 0.647602 | − | 4.50417i | 0.0667951 | − | 0.464570i | ||||
\(95\) | 1.97347 | − | 1.18707i | 0.202473 | − | 0.121791i | ||||
\(96\) | 0.690404 | + | 1.58850i | 0.0704640 | + | 0.162126i | ||||
\(97\) | 4.00396 | + | 4.62082i | 0.406541 | + | 0.469173i | 0.921690 | − | 0.387927i | \(-0.126809\pi\) |
−0.515149 | + | 0.857101i | \(0.672263\pi\) | |||||||
\(98\) | 2.95533 | − | 0.867764i | 0.298534 | − | 0.0876574i | ||||
\(99\) | 2.35809 | − | 2.52715i | 0.236997 | − | 0.253988i | ||||
\(100\) | 1.00379 | − | 4.89820i | 0.100379 | − | 0.489820i | ||||
\(101\) | 2.19700 | + | 1.90371i | 0.218609 | + | 0.189426i | 0.757280 | − | 0.653090i | \(-0.226528\pi\) |
−0.538671 | + | 0.842516i | \(0.681073\pi\) | |||||||
\(102\) | 1.10383 | − | 3.51843i | 0.109296 | − | 0.348377i | ||||
\(103\) | −0.618015 | − | 4.29839i | −0.0608948 | − | 0.423533i | −0.997350 | − | 0.0727468i | \(-0.976824\pi\) |
0.936456 | − | 0.350786i | \(-0.114086\pi\) | |||||||
\(104\) | −6.06664 | + | 0.872251i | −0.594883 | + | 0.0855312i | ||||
\(105\) | −7.52877 | − | 1.45472i | −0.734732 | − | 0.141966i | ||||
\(106\) | 3.38614 | + | 2.93411i | 0.328891 | + | 0.284986i | ||||
\(107\) | 0.263932 | + | 0.120534i | 0.0255153 | + | 0.0116524i | 0.428132 | − | 0.903716i | \(-0.359172\pi\) |
−0.402617 | + | 0.915369i | \(0.631899\pi\) | |||||||
\(108\) | 5.18823 | + | 0.286746i | 0.499238 | + | 0.0275921i | ||||
\(109\) | −1.00167 | − | 3.41137i | −0.0959424 | − | 0.326750i | 0.897510 | − | 0.440993i | \(-0.145374\pi\) |
−0.993453 | + | 0.114243i | \(0.963556\pi\) | |||||||
\(110\) | 1.89613 | + | 1.74412i | 0.180789 | + | 0.166295i | ||||
\(111\) | −5.86501 | − | 13.4944i | −0.556682 | − | 1.28083i | ||||
\(112\) | 0.822470 | + | 1.80096i | 0.0777161 | + | 0.170174i | ||||
\(113\) | 14.7911 | + | 2.12664i | 1.39143 | + | 0.200058i | 0.796947 | − | 0.604050i | \(-0.206447\pi\) |
0.594484 | + | 0.804107i | \(0.297356\pi\) | |||||||
\(114\) | −1.36944 | + | 1.14318i | −0.128259 | + | 0.107069i | ||||
\(115\) | 6.24361 | + | 8.71879i | 0.582220 | + | 0.813032i | ||||
\(116\) | 2.59364i | 0.240814i | ||||||||
\(117\) | −5.82596 | + | 17.4397i | −0.538610 | + | 1.61230i | ||||
\(118\) | −5.22963 | + | 2.38829i | −0.481426 | + | 0.219860i | ||||
\(119\) | 1.18754 | − | 4.04439i | 0.108862 | − | 0.370749i | ||||
\(120\) | −0.186103 | + | 3.86851i | −0.0169888 | + | 0.353145i | ||||
\(121\) | 9.28074 | − | 2.72507i | 0.843704 | − | 0.247734i | ||||
\(122\) | 5.90056 | − | 9.18145i | 0.534212 | − | 0.831250i | ||||
\(123\) | −1.41944 | − | 5.18534i | −0.127987 | − | 0.467547i | ||||
\(124\) | 3.95013 | − | 4.55869i | 0.354732 | − | 0.409383i | ||||
\(125\) | 6.85659 | − | 8.83103i | 0.613272 | − | 0.789871i | ||||
\(126\) | 5.93560 | + | 0.218577i | 0.528785 | + | 0.0194724i | ||||
\(127\) | −2.97314 | + | 0.427473i | −0.263824 | + | 0.0379321i | −0.272957 | − | 0.962026i | \(-0.588002\pi\) |
0.00913362 | + | 0.999958i | \(0.497093\pi\) | |||||||
\(128\) | 0.841254 | − | 0.540641i | 0.0743570 | − | 0.0477863i | ||||
\(129\) | −21.2071 | − | 0.390341i | −1.86718 | − | 0.0343676i | ||||
\(130\) | −13.0295 | − | 4.24947i | −1.14276 | − | 0.372703i | ||||
\(131\) | −6.52880 | + | 10.1590i | −0.570424 | + | 0.887597i | −0.999880 | − | 0.0154907i | \(-0.995069\pi\) |
0.429456 | + | 0.903088i | \(0.358705\pi\) | |||||||
\(132\) | −1.65865 | − | 1.10961i | −0.144367 | − | 0.0965789i | ||||
\(133\) | −1.54106 | + | 1.33534i | −0.133627 | + | 0.115788i | ||||
\(134\) | 5.96494 | + | 1.75146i | 0.515292 | + | 0.151303i | ||||
\(135\) | 10.1217 | + | 5.70531i | 0.871140 | + | 0.491035i | ||||
\(136\) | −2.10732 | − | 0.302987i | −0.180701 | − | 0.0259809i | ||||
\(137\) | 0.420827i | 0.0359536i | 0.999838 | + | 0.0179768i | \(0.00572251\pi\) | ||||
−0.999838 | + | 0.0179768i | \(0.994277\pi\) | |||||||
\(138\) | −5.81535 | − | 5.93142i | −0.495035 | − | 0.504916i | ||||
\(139\) | 18.6589 | 1.58262 | 0.791312 | − | 0.611413i | \(-0.209399\pi\) | ||||
0.791312 | + | 0.611413i | \(0.209399\pi\) | |||||||
\(140\) | −0.131316 | + | 4.42519i | −0.0110983 | + | 0.373996i | ||||
\(141\) | −3.40555 | + | 7.10796i | −0.286799 | + | 0.598598i | ||||
\(142\) | −3.52067 | + | 11.9903i | −0.295448 | + | 1.00620i | ||||
\(143\) | 5.33677 | − | 4.62434i | 0.446284 | − | 0.386707i | ||||
\(144\) | −0.317379 | − | 2.98316i | −0.0264483 | − | 0.248597i | ||||
\(145\) | −2.56464 | + | 5.20168i | −0.212982 | + | 0.431976i | ||||
\(146\) | −2.46307 | − | 1.12485i | −0.203846 | − | 0.0930931i | ||||
\(147\) | −5.33398 | − | 0.0981781i | −0.439939 | − | 0.00809760i | ||||
\(148\) | −7.14649 | + | 4.59277i | −0.587438 | + | 0.377523i | ||||
\(149\) | 1.38027 | + | 9.59999i | 0.113076 | + | 0.786461i | 0.964897 | + | 0.262628i | \(0.0845893\pi\) |
−0.851821 | + | 0.523833i | \(0.824502\pi\) | |||||||
\(150\) | −4.19850 | + | 7.57447i | −0.342806 | + | 0.618453i | ||||
\(151\) | −1.86013 | + | 1.19543i | −0.151375 | + | 0.0972829i | −0.614136 | − | 0.789200i | \(-0.710495\pi\) |
0.462761 | + | 0.886483i | \(0.346859\pi\) | |||||||
\(152\) | 0.778363 | + | 0.674456i | 0.0631336 | + | 0.0547056i | ||||
\(153\) | −3.64845 | + | 5.24235i | −0.294960 | + | 0.423819i | ||||
\(154\) | −1.91900 | − | 1.23326i | −0.154637 | − | 0.0993793i | ||||
\(155\) | 12.4299 | − | 5.23673i | 0.998395 | − | 0.420624i | ||||
\(156\) | 10.4781 | + | 1.70390i | 0.838923 | + | 0.136421i | ||||
\(157\) | −9.92259 | − | 2.91354i | −0.791909 | − | 0.232526i | −0.139330 | − | 0.990246i | \(-0.544495\pi\) |
−0.652579 | + | 0.757720i | \(0.726313\pi\) | |||||||
\(158\) | −10.6604 | + | 4.86846i | −0.848099 | + | 0.387314i | ||||
\(159\) | −4.07477 | − | 6.60462i | −0.323150 | − | 0.523780i | ||||
\(160\) | 2.22177 | − | 0.252435i | 0.175647 | − | 0.0199567i | ||||
\(161\) | −6.77106 | − | 6.65661i | −0.533635 | − | 0.524614i | ||||
\(162\) | −8.42556 | − | 3.16386i | −0.661974 | − | 0.248576i | ||||
\(163\) | 1.35223 | + | 0.194421i | 0.105915 | + | 0.0152282i | 0.195068 | − | 0.980790i | \(-0.437507\pi\) |
−0.0891537 | + | 0.996018i | \(0.528416\pi\) | |||||||
\(164\) | −2.82341 | + | 1.28941i | −0.220471 | + | 0.100686i | ||||
\(165\) | −2.22931 | − | 3.86548i | −0.173552 | − | 0.300928i | ||||
\(166\) | −12.6878 | + | 10.9940i | −0.984761 | + | 0.853300i | ||||
\(167\) | 17.7218 | − | 5.20358i | 1.37135 | − | 0.402665i | 0.488602 | − | 0.872507i | \(-0.337507\pi\) |
0.882751 | + | 0.469842i | \(0.155689\pi\) | |||||||
\(168\) | −0.425483 | − | 3.40274i | −0.0328268 | − | 0.262527i | ||||
\(169\) | −10.2046 | + | 22.3450i | −0.784972 | + | 1.71885i | ||||
\(170\) | −3.92674 | − | 2.69142i | −0.301167 | − | 0.206422i | ||||
\(171\) | 2.85588 | − | 1.17924i | 0.218395 | − | 0.0901786i | ||||
\(172\) | 1.74278 | + | 12.1213i | 0.132886 | + | 0.924243i | ||||
\(173\) | −2.17092 | − | 15.0991i | −0.165052 | − | 1.14796i | −0.888933 | − | 0.458036i | \(-0.848553\pi\) |
0.723882 | − | 0.689924i | \(-0.242356\pi\) | |||||||
\(174\) | 1.34474 | − | 4.28633i | 0.101945 | − | 0.324946i | ||||
\(175\) | −4.63907 | + | 8.74509i | −0.350681 | + | 0.661067i | ||||
\(176\) | −0.478621 | + | 1.04803i | −0.0360774 | + | 0.0789986i | ||||
\(177\) | 9.88091 | − | 1.23552i | 0.742694 | − | 0.0928674i | ||||
\(178\) | 10.1142 | − | 2.96979i | 0.758090 | − | 0.222595i | ||||
\(179\) | 6.11494 | − | 5.29863i | 0.457052 | − | 0.396038i | −0.395678 | − | 0.918389i | \(-0.629490\pi\) |
0.852730 | + | 0.522351i | \(0.174945\pi\) | |||||||
\(180\) | 2.31329 | − | 6.29672i | 0.172422 | − | 0.469330i | ||||
\(181\) | −4.11475 | + | 1.87914i | −0.305847 | + | 0.139676i | −0.562426 | − | 0.826848i | \(-0.690132\pi\) |
0.256579 | + | 0.966523i | \(0.417405\pi\) | |||||||
\(182\) | 12.0112 | + | 1.72695i | 0.890328 | + | 0.128010i | ||||
\(183\) | −14.5118 | + | 12.1142i | −1.07274 | + | 0.895510i | ||||
\(184\) | −2.84121 | + | 3.86362i | −0.209457 | + | 0.284830i | ||||
\(185\) | −18.8741 | + | 2.14445i | −1.38765 | + | 0.157663i | ||||
\(186\) | −8.89168 | + | 5.48578i | −0.651969 | + | 0.402237i | ||||
\(187\) | 2.23126 | − | 1.01898i | 0.163166 | − | 0.0745152i | ||||
\(188\) | 4.36616 | + | 1.28202i | 0.318435 | + | 0.0935010i | ||||
\(189\) | −9.69602 | − | 3.43870i | −0.705281 | − | 0.250128i | ||||
\(190\) | 0.894133 | + | 2.12232i | 0.0648672 | + | 0.153969i | ||||
\(191\) | −11.1897 | − | 7.19121i | −0.809662 | − | 0.520338i | 0.0690938 | − | 0.997610i | \(-0.477989\pi\) |
−0.878756 | + | 0.477272i | \(0.841626\pi\) | |||||||
\(192\) | −1.67059 | + | 0.457309i | −0.120564 | + | 0.0330034i | ||||
\(193\) | 4.29782 | + | 3.72408i | 0.309364 | + | 0.268065i | 0.795679 | − | 0.605718i | \(-0.207114\pi\) |
−0.486316 | + | 0.873783i | \(0.661660\pi\) | |||||||
\(194\) | −5.14361 | + | 3.30560i | −0.369290 | + | 0.237328i | ||||
\(195\) | 19.3296 | + | 13.7783i | 1.38422 | + | 0.986681i | ||||
\(196\) | 0.438344 | + | 3.04875i | 0.0313103 | + | 0.217768i | ||||
\(197\) | 10.4485 | − | 6.71487i | 0.744428 | − | 0.478415i | −0.112629 | − | 0.993637i | \(-0.535927\pi\) |
0.857056 | + | 0.515223i | \(0.172291\pi\) | |||||||
\(198\) | 2.16583 | + | 2.69374i | 0.153919 | + | 0.191436i | ||||
\(199\) | −9.96489 | − | 4.55081i | −0.706393 | − | 0.322599i | 0.0296250 | − | 0.999561i | \(-0.490569\pi\) |
−0.736018 | + | 0.676962i | \(0.763296\pi\) | |||||||
\(200\) | 4.70549 | + | 1.69066i | 0.332729 | + | 0.119548i | ||||
\(201\) | −8.94974 | − | 5.98720i | −0.631266 | − | 0.422305i | ||||
\(202\) | −2.19700 | + | 1.90371i | −0.154580 | + | 0.133944i | ||||
\(203\) | 1.44672 | − | 4.92708i | 0.101540 | − | 0.345813i | ||||
\(204\) | 3.32553 | + | 1.59332i | 0.232834 | + | 0.111555i | ||||
\(205\) | −6.93748 | − | 0.205868i | −0.484535 | − | 0.0143785i | ||||
\(206\) | 4.34259 | 0.302563 | ||||||||
\(207\) | 6.53532 | + | 12.8176i | 0.454236 | + | 0.890881i | ||||
\(208\) | − | 6.12902i | − | 0.424971i | ||||||
\(209\) | −1.17455 | − | 0.168875i | −0.0812453 | − | 0.0116813i | ||||
\(210\) | 2.51137 | − | 7.24511i | 0.173301 | − | 0.499960i | ||||
\(211\) | 8.94819 | + | 2.62743i | 0.616019 | + | 0.180880i | 0.574831 | − | 0.818272i | \(-0.305068\pi\) |
0.0411878 | + | 0.999151i | \(0.486886\pi\) | |||||||
\(212\) | −3.38614 | + | 2.93411i | −0.232561 | + | 0.201515i | ||||
\(213\) | 12.0350 | − | 17.9901i | 0.824628 | − | 1.23266i | ||||
\(214\) | −0.156868 | + | 0.244092i | −0.0107233 | + | 0.0166858i | ||||
\(215\) | −8.49056 | + | 26.0332i | −0.579052 | + | 1.77545i | ||||
\(216\) | −1.02219 | + | 5.09462i | −0.0695512 | + | 0.346645i | ||||
\(217\) | −10.0468 | + | 6.45668i | −0.682020 | + | 0.438308i | ||||
\(218\) | 3.51920 | − | 0.505984i | 0.238350 | − | 0.0342696i | ||||
\(219\) | 3.48734 | + | 3.13600i | 0.235653 | + | 0.211911i | ||||
\(220\) | −1.99622 | + | 1.62862i | −0.134585 | + | 0.109801i | ||||
\(221\) | −8.54504 | + | 9.86150i | −0.574802 | + | 0.663356i | ||||
\(222\) | 14.1917 | − | 3.88486i | 0.952487 | − | 0.260735i | ||||
\(223\) | 15.0451 | − | 23.4106i | 1.00749 | − | 1.56769i | 0.198302 | − | 0.980141i | \(-0.436457\pi\) |
0.809190 | − | 0.587547i | \(-0.199906\pi\) | |||||||
\(224\) | −1.89968 | + | 0.557795i | −0.126927 | + | 0.0372693i | ||||
\(225\) | 10.8657 | − | 10.3410i | 0.724383 | − | 0.689398i | ||||
\(226\) | −4.20999 | + | 14.3379i | −0.280044 | + | 0.953744i | ||||
\(227\) | −16.2449 | + | 7.41882i | −1.07821 | + | 0.492404i | −0.873703 | − | 0.486460i | \(-0.838288\pi\) |
−0.204512 | + | 0.978864i | \(0.565561\pi\) | |||||||
\(228\) | −0.936657 | − | 1.51819i | −0.0620316 | − | 0.100544i | ||||
\(229\) | 16.1774i | 1.06903i | 0.845159 | + | 0.534515i | \(0.179506\pi\) | ||||
−0.845159 | + | 0.534515i | \(0.820494\pi\) | |||||||
\(230\) | −9.51861 | + | 4.93924i | −0.627638 | + | 0.325684i | ||||
\(231\) | 2.53197 | + | 3.03308i | 0.166591 | + | 0.199562i | ||||
\(232\) | −2.56724 | − | 0.369114i | −0.168548 | − | 0.0242335i | ||||
\(233\) | 7.78621 | + | 17.0494i | 0.510092 | + | 1.11694i | 0.973056 | + | 0.230568i | \(0.0740584\pi\) |
−0.462965 | + | 0.886377i | \(0.653214\pi\) | |||||||
\(234\) | −16.4330 | − | 8.24858i | −1.07426 | − | 0.539227i | ||||
\(235\) | 7.48888 | + | 6.88851i | 0.488520 | + | 0.449357i | ||||
\(236\) | −1.61973 | − | 5.51629i | −0.105435 | − | 0.359080i | ||||
\(237\) | 20.1419 | − | 2.51857i | 1.30836 | − | 0.163599i | ||||
\(238\) | 3.83422 | + | 1.75103i | 0.248536 | + | 0.113502i | ||||
\(239\) | 11.5926 | + | 10.0450i | 0.749861 | + | 0.649758i | 0.943522 | − | 0.331311i | \(-0.107491\pi\) |
−0.193661 | + | 0.981068i | \(0.562036\pi\) | |||||||
\(240\) | −3.80265 | − | 0.734755i | −0.245460 | − | 0.0474283i | ||||
\(241\) | −18.4645 | + | 2.65479i | −1.18940 | + | 0.171010i | −0.708465 | − | 0.705746i | \(-0.750612\pi\) |
−0.480936 | + | 0.876756i | \(0.659703\pi\) | |||||||
\(242\) | 1.37655 | + | 9.57409i | 0.0884878 | + | 0.615446i | ||||
\(243\) | 12.2839 | + | 9.59714i | 0.788014 | + | 0.615657i | ||||
\(244\) | 8.24826 | + | 7.14716i | 0.528041 | + | 0.457550i | ||||
\(245\) | −2.13554 | + | 6.54786i | −0.136435 | + | 0.418327i | ||||
\(246\) | 5.33457 | − | 0.667041i | 0.340120 | − | 0.0425290i | ||||
\(247\) | 6.05672 | − | 1.77841i | 0.385380 | − | 0.113158i | ||||
\(248\) | 3.95013 | + | 4.55869i | 0.250834 | + | 0.289477i | ||||
\(249\) | 26.6683 | − | 11.5907i | 1.69003 | − | 0.734531i | ||||
\(250\) | 7.76535 | + | 8.04359i | 0.491124 | + | 0.508721i | ||||
\(251\) | −0.409367 | + | 2.84721i | −0.0258390 | + | 0.179714i | −0.998654 | − | 0.0518700i | \(-0.983482\pi\) |
0.972815 | + | 0.231584i | \(0.0743909\pi\) | |||||||
\(252\) | −1.06108 | + | 5.84408i | −0.0668415 | + | 0.368142i | ||||
\(253\) | 0.347196 | − | 5.51461i | 0.0218280 | − | 0.346700i | ||||
\(254\) | − | 3.00371i | − | 0.188470i | ||||||
\(255\) | 5.09401 | + | 6.48384i | 0.318999 | + | 0.406034i | ||||
\(256\) | 0.415415 | + | 0.909632i | 0.0259634 | + | 0.0568520i | ||||
\(257\) | −7.62412 | − | 2.23864i | −0.475579 | − | 0.139643i | 0.0351539 | − | 0.999382i | \(-0.488808\pi\) |
−0.510733 | + | 0.859739i | \(0.670626\pi\) | |||||||
\(258\) | 3.40445 | − | 20.9357i | 0.211952 | − | 1.30340i | ||||
\(259\) | 16.1378 | − | 4.73849i | 1.00276 | − | 0.294436i | ||||
\(260\) | 6.06050 | − | 12.2921i | 0.375856 | − | 0.762322i | ||||
\(261\) | −4.44472 | + | 6.38649i | −0.275121 | + | 0.395314i | ||||
\(262\) | −9.12646 | − | 7.90813i | −0.563835 | − | 0.488566i | ||||
\(263\) | −9.69651 | − | 15.0881i | −0.597912 | − | 0.930370i | −0.999892 | − | 0.0147208i | \(-0.995314\pi\) |
0.401979 | − | 0.915649i | \(-0.368322\pi\) | |||||||
\(264\) | 1.33436 | − | 1.48386i | 0.0821244 | − | 0.0913251i | ||||
\(265\) | −9.69238 | + | 2.53622i | −0.595398 | + | 0.155799i | ||||
\(266\) | −1.10243 | − | 1.71541i | −0.0675943 | − | 0.105179i | ||||
\(267\) | −18.2548 | − | 0.336000i | −1.11717 | − | 0.0205629i | ||||
\(268\) | −2.58254 | + | 5.65497i | −0.157754 | + | 0.345432i | ||||
\(269\) | 14.5143 | − | 22.5847i | 0.884953 | − | 1.37701i | −0.0409139 | − | 0.999163i | \(-0.513027\pi\) |
0.925867 | − | 0.377851i | \(-0.123337\pi\) | |||||||
\(270\) | −7.08771 | + | 9.20676i | −0.431344 | + | 0.560305i | ||||
\(271\) | −21.1673 | − | 24.4284i | −1.28582 | − | 1.48392i | −0.786624 | − | 0.617432i | \(-0.788173\pi\) |
−0.499199 | − | 0.866487i | \(-0.666372\pi\) | |||||||
\(272\) | 0.599806 | − | 2.04275i | 0.0363686 | − | 0.123860i | ||||
\(273\) | −18.9546 | − | 9.08152i | −1.14719 | − | 0.549638i | ||||
\(274\) | −0.416543 | − | 0.0598899i | −0.0251643 | − | 0.00361808i | ||||
\(275\) | −5.61392 | + | 1.29238i | −0.338532 | + | 0.0779333i | ||||
\(276\) | 6.69865 | − | 4.91203i | 0.403212 | − | 0.295669i | ||||
\(277\) | 6.65868i | 0.400081i | 0.979788 | + | 0.200041i | \(0.0641074\pi\) | ||||
−0.979788 | + | 0.200041i | \(0.935893\pi\) | |||||||
\(278\) | −2.65543 | + | 18.4689i | −0.159262 | + | 1.10769i | ||||
\(279\) | 17.5389 | − | 4.45584i | 1.05003 | − | 0.266764i | ||||
\(280\) | −4.36146 | − | 0.759749i | −0.260647 | − | 0.0454037i | ||||
\(281\) | −5.57442 | − | 6.43323i | −0.332542 | − | 0.383774i | 0.564712 | − | 0.825288i | \(-0.308987\pi\) |
−0.897255 | + | 0.441514i | \(0.854442\pi\) | |||||||
\(282\) | −6.55095 | − | 4.38246i | −0.390103 | − | 0.260972i | ||||
\(283\) | −6.71436 | − | 4.31506i | −0.399127 | − | 0.256504i | 0.325645 | − | 0.945492i | \(-0.394419\pi\) |
−0.724772 | + | 0.688989i | \(0.758055\pi\) | |||||||
\(284\) | −11.3672 | − | 5.19123i | −0.674520 | − | 0.308043i | ||||
\(285\) | −0.377299 | − | 3.97099i | −0.0223493 | − | 0.235221i | ||||
\(286\) | 3.81777 | + | 5.94057i | 0.225749 | + | 0.351273i | ||||
\(287\) | 6.08278 | − | 0.874572i | 0.359055 | − | 0.0516244i | ||||
\(288\) | 2.99797 | + | 0.110400i | 0.176657 | + | 0.00650536i | ||||
\(289\) | 10.4882 | − | 6.74038i | 0.616955 | − | 0.396493i | ||||
\(290\) | −4.78375 | − | 3.27881i | −0.280911 | − | 0.192539i | ||||
\(291\) | 10.2144 | − | 2.79609i | 0.598776 | − | 0.163909i | ||||
\(292\) | 1.46393 | − | 2.27792i | 0.0856701 | − | 0.133305i | ||||
\(293\) | −6.14801 | − | 20.9382i | −0.359171 | − | 1.22322i | −0.918881 | − | 0.394535i | \(-0.870906\pi\) |
0.559710 | − | 0.828688i | \(-0.310912\pi\) | |||||||
\(294\) | 0.856284 | − | 5.26572i | 0.0499395 | − | 0.307103i | ||||
\(295\) | 2.20616 | − | 12.6648i | 0.128448 | − | 0.737374i | ||||
\(296\) | −3.52897 | − | 7.72737i | −0.205117 | − | 0.449144i | ||||
\(297\) | −2.18268 | − | 5.57469i | −0.126652 | − | 0.323476i | ||||
\(298\) | −9.69870 | −0.561831 | ||||||||
\(299\) | 10.5064 | + | 27.4519i | 0.607603 | + | 1.58759i | ||||
\(300\) | −6.89987 | − | 5.23372i | −0.398364 | − | 0.302169i | ||||
\(301\) | 3.45049 | − | 23.9987i | 0.198883 | − | 1.38326i | ||||
\(302\) | −0.918541 | − | 2.01132i | −0.0528561 | − | 0.115739i | ||||
\(303\) | 4.61785 | − | 2.00703i | 0.265289 | − | 0.115301i | ||||
\(304\) | −0.778363 | + | 0.674456i | −0.0446422 | + | 0.0386827i | ||||
\(305\) | 9.47506 | + | 22.4900i | 0.542540 | + | 1.28778i | ||||
\(306\) | −4.66977 | − | 4.35738i | −0.266953 | − | 0.249095i | ||||
\(307\) | −1.24426 | − | 0.568233i | −0.0710135 | − | 0.0324308i | 0.379592 | − | 0.925154i | \(-0.376064\pi\) |
−0.450605 | + | 0.892723i | \(0.648792\pi\) | |||||||
\(308\) | 1.49381 | − | 1.72395i | 0.0851179 | − | 0.0982313i | ||||
\(309\) | −7.17669 | − | 2.25153i | −0.408268 | − | 0.128085i | ||||
\(310\) | 3.41447 | + | 13.0487i | 0.193929 | + | 0.741114i | ||||
\(311\) | −29.0889 | + | 4.18235i | −1.64948 | + | 0.237159i | −0.903431 | − | 0.428733i | \(-0.858960\pi\) |
−0.746048 | + | 0.665892i | \(0.768051\pi\) | |||||||
\(312\) | −3.17775 | + | 10.1290i | −0.179905 | + | 0.573442i | ||||
\(313\) | −17.6780 | + | 20.4015i | −0.999221 | + | 1.15316i | −0.0110296 | + | 0.999939i | \(0.503511\pi\) |
−0.988192 | + | 0.153224i | \(0.951035\pi\) | |||||||
\(314\) | 4.29601 | − | 9.40696i | 0.242438 | − | 0.530865i | ||||
\(315\) | −7.90678 | + | 10.6714i | −0.445497 | + | 0.601264i | ||||
\(316\) | −3.30177 | − | 11.2448i | −0.185739 | − | 0.632568i | ||||
\(317\) | −20.8969 | − | 24.1163i | −1.17369 | − | 1.35451i | −0.922232 | − | 0.386637i | \(-0.873637\pi\) |
−0.251454 | − | 0.967869i | \(-0.580909\pi\) | |||||||
\(318\) | 7.11729 | − | 3.09336i | 0.399118 | − | 0.173467i | ||||
\(319\) | 2.71822 | − | 1.24137i | 0.152191 | − | 0.0695035i | ||||
\(320\) | −0.0663257 | + | 2.23508i | −0.00370772 | + | 0.124945i | ||||
\(321\) | 0.385801 | − | 0.322061i | 0.0215333 | − | 0.0179757i | ||||
\(322\) | 7.55248 | − | 5.75481i | 0.420883 | − | 0.320703i | ||||
\(323\) | 2.19270 | 0.122005 | ||||||||
\(324\) | 4.33074 | − | 7.88953i | 0.240597 | − | 0.438307i | ||||
\(325\) | 24.3093 | − | 18.6596i | 1.34844 | − | 1.03505i | ||||
\(326\) | −0.384884 | + | 1.31079i | −0.0213168 | + | 0.0725982i | ||||
\(327\) | −6.07827 | − | 0.988417i | −0.336129 | − | 0.0546596i | ||||
\(328\) | −0.874470 | − | 2.97817i | −0.0482845 | − | 0.164442i | ||||
\(329\) | −7.57919 | − | 4.87085i | −0.417854 | − | 0.268539i | ||||
\(330\) | 4.14340 | − | 1.65651i | 0.228087 | − | 0.0911878i | ||||
\(331\) | 18.5223 | − | 21.3759i | 1.01808 | − | 1.17492i | 0.0335961 | − | 0.999435i | \(-0.489304\pi\) |
0.984481 | − | 0.175489i | \(-0.0561505\pi\) | |||||||
\(332\) | −9.07645 | − | 14.1232i | −0.498135 | − | 0.775113i | ||||
\(333\) | −25.4679 | − | 0.937849i | −1.39563 | − | 0.0513938i | ||||
\(334\) | 2.62855 | + | 18.2819i | 0.143828 | + | 1.00034i | ||||
\(335\) | −10.7712 | + | 8.78766i | −0.588491 | + | 0.480121i | ||||
\(336\) | 3.42866 | + | 0.0631085i | 0.187049 | + | 0.00344285i | ||||
\(337\) | 11.0477 | − | 24.1911i | 0.601806 | − | 1.31777i | −0.326233 | − | 0.945289i | \(-0.605779\pi\) |
0.928039 | − | 0.372482i | \(-0.121493\pi\) | |||||||
\(338\) | −20.6653 | − | 13.2808i | −1.12405 | − | 0.722380i | ||||
\(339\) | 14.3914 | − | 21.5125i | 0.781634 | − | 1.16840i | ||||
\(340\) | 3.22286 | − | 3.50374i | 0.174784 | − | 0.190017i | ||||
\(341\) | −6.66828 | − | 1.95798i | −0.361108 | − | 0.106031i | ||||
\(342\) | 0.760801 | + | 2.99464i | 0.0411394 | + | 0.161931i | ||||
\(343\) | 2.84022 | − | 19.7542i | 0.153358 | − | 1.06663i | ||||
\(344\) | −12.2460 | −0.660259 | ||||||||
\(345\) | 18.2916 | − | 3.22757i | 0.984787 | − | 0.173766i | ||||
\(346\) | 15.2543 | 0.820078 | ||||||||
\(347\) | −0.146080 | + | 1.01601i | −0.00784198 | + | 0.0545422i | −0.993367 | − | 0.114990i | \(-0.963316\pi\) |
0.985525 | + | 0.169532i | \(0.0542256\pi\) | |||||||
\(348\) | 4.05132 | + | 1.94106i | 0.217174 | + | 0.104052i | ||||
\(349\) | 5.52791 | + | 1.62314i | 0.295902 | + | 0.0868848i | 0.426314 | − | 0.904575i | \(-0.359812\pi\) |
−0.130412 | + | 0.991460i | \(0.541630\pi\) | |||||||
\(350\) | −7.99587 | − | 5.83641i | −0.427397 | − | 0.311969i | ||||
\(351\) | 22.8810 | + | 22.1520i | 1.22130 | + | 1.18239i | ||||
\(352\) | −0.969252 | − | 0.622900i | −0.0516613 | − | 0.0332007i | ||||
\(353\) | −2.96526 | + | 6.49302i | −0.157825 | + | 0.345589i | −0.971982 | − | 0.235057i | \(-0.924472\pi\) |
0.814157 | + | 0.580645i | \(0.197200\pi\) | |||||||
\(354\) | −0.183255 | + | 9.95617i | −0.00973988 | + | 0.529164i | ||||
\(355\) | −17.6643 | − | 21.6514i | −0.937526 | − | 1.14914i | ||||
\(356\) | 1.50017 | + | 10.4339i | 0.0795086 | + | 0.552995i | ||||
\(357\) | −5.42868 | − | 4.88176i | −0.287316 | − | 0.258370i | ||||
\(358\) | 4.37445 | + | 6.80677i | 0.231197 | + | 0.359749i | ||||
\(359\) | 7.81698 | − | 9.02128i | 0.412565 | − | 0.476125i | −0.510993 | − | 0.859585i | \(-0.670722\pi\) |
0.923557 | + | 0.383460i | \(0.125268\pi\) | |||||||
\(360\) | 5.90341 | + | 3.18586i | 0.311137 | + | 0.167910i | ||||
\(361\) | 15.0915 | + | 9.69870i | 0.794288 | + | 0.510458i | ||||
\(362\) | −1.27443 | − | 4.34030i | −0.0669824 | − | 0.228121i | ||||
\(363\) | 2.68902 | − | 16.5361i | 0.141137 | − | 0.867922i | ||||
\(364\) | −3.41874 | + | 11.6432i | −0.179191 | + | 0.610267i | ||||
\(365\) | 5.18844 | − | 3.12092i | 0.271575 | − | 0.163357i | ||||
\(366\) | −9.92568 | − | 16.0881i | −0.518824 | − | 0.840940i | ||||
\(367\) | 4.14223 | 0.216223 | 0.108111 | − | 0.994139i | \(-0.465520\pi\) | ||||
0.108111 | + | 0.994139i | \(0.465520\pi\) | |||||||
\(368\) | −3.41995 | − | 3.36214i | −0.178277 | − | 0.175264i | ||||
\(369\) | −9.16191 | − | 1.66348i | −0.476950 | − | 0.0865972i | ||||
\(370\) | 0.563440 | − | 18.9871i | 0.0292918 | − | 0.987095i | ||||
\(371\) | 8.06919 | − | 3.68508i | 0.418932 | − | 0.191320i | ||||
\(372\) | −4.16453 | − | 9.58188i | −0.215921 | − | 0.496797i | ||||
\(373\) | −5.39452 | − | 6.22560i | −0.279317 | − | 0.322349i | 0.598704 | − | 0.800970i | \(-0.295682\pi\) |
−0.878022 | + | 0.478621i | \(0.841137\pi\) | |||||||
\(374\) | 0.691068 | + | 2.35356i | 0.0357343 | + | 0.121700i | ||||
\(375\) | −8.66283 | − | 17.3192i | −0.447347 | − | 0.894361i | ||||
\(376\) | −1.89034 | + | 4.13927i | −0.0974869 | + | 0.213467i | ||||
\(377\) | −10.4100 | + | 12.0138i | −0.536141 | + | 0.618740i | ||||
\(378\) | 4.78358 | − | 9.10795i | 0.246041 | − | 0.468462i | ||||
\(379\) | 23.4155 | − | 3.36665i | 1.20278 | − | 0.172933i | 0.488352 | − | 0.872647i | \(-0.337598\pi\) |
0.714423 | + | 0.699714i | \(0.246689\pi\) | |||||||
\(380\) | −2.22796 | + | 0.582995i | −0.114292 | + | 0.0299070i | ||||
\(381\) | −1.55735 | + | 4.96402i | −0.0797857 | + | 0.254315i | ||||
\(382\) | 8.71049 | − | 10.0524i | 0.445667 | − | 0.514327i | ||||
\(383\) | 15.0234 | + | 6.86094i | 0.767658 | + | 0.350577i | 0.760450 | − | 0.649397i | \(-0.224978\pi\) |
0.00720760 | + | 0.999974i | \(0.497706\pi\) | |||||||
\(384\) | −0.214904 | − | 1.71867i | −0.0109668 | − | 0.0877054i | ||||
\(385\) | 4.70060 | − | 1.98036i | 0.239565 | − | 0.100929i | ||||
\(386\) | −4.29782 | + | 3.72408i | −0.218753 | + | 0.189551i | ||||
\(387\) | −16.4809 | + | 32.8337i | −0.837773 | + | 1.66903i | ||||
\(388\) | −2.53994 | − | 5.56169i | −0.128946 | − | 0.282352i | ||||
\(389\) | 2.99371 | − | 20.8217i | 0.151787 | − | 1.05570i | −0.761435 | − | 0.648242i | \(-0.775505\pi\) |
0.913222 | − | 0.407462i | \(-0.133586\pi\) | |||||||
\(390\) | −16.3889 | + | 17.1720i | −0.829884 | + | 0.869538i | ||||
\(391\) | 0.815172 | + | 10.1777i | 0.0412250 | + | 0.514708i | ||||
\(392\) | −3.08010 | −0.155568 | ||||||||
\(393\) | 10.9825 | + | 17.8011i | 0.553993 | + | 0.897944i | ||||
\(394\) | 5.15954 | + | 11.2978i | 0.259934 | + | 0.569176i | ||||
\(395\) | 4.49720 | − | 25.8168i | 0.226279 | − | 1.29899i | ||||
\(396\) | −2.97455 | + | 1.76043i | −0.149477 | + | 0.0884650i | ||||
\(397\) | 10.5958 | + | 36.0860i | 0.531788 | + | 1.81110i | 0.583072 | + | 0.812420i | \(0.301850\pi\) |
−0.0512841 | + | 0.998684i | \(0.516331\pi\) | |||||||
\(398\) | 5.92265 | − | 9.21582i | 0.296875 | − | 0.461947i | ||||
\(399\) | 0.932506 | + | 3.40653i | 0.0466837 | + | 0.170540i | ||||
\(400\) | −2.34311 | + | 4.41699i | −0.117156 | + | 0.220850i | ||||
\(401\) | −12.7468 | + | 8.19188i | −0.636545 | + | 0.409083i | −0.818728 | − | 0.574182i | \(-0.805320\pi\) |
0.182182 | + | 0.983265i | \(0.441684\pi\) | |||||||
\(402\) | 7.19994 | − | 8.00658i | 0.359100 | − | 0.399332i | ||||
\(403\) | 36.5941 | − | 5.26143i | 1.82288 | − | 0.262091i | ||||
\(404\) | −1.57167 | − | 2.44556i | −0.0781933 | − | 0.121671i | ||||
\(405\) | 16.4868 | − | 11.5405i | 0.819238 | − | 0.573454i | ||||
\(406\) | 4.67104 | + | 2.13319i | 0.231820 | + | 0.105868i | ||||
\(407\) | 8.23384 | + | 5.29157i | 0.408136 | + | 0.262293i | ||||
\(408\) | −2.05038 | + | 3.06493i | −0.101509 | + | 0.151736i | ||||
\(409\) | 13.3214 | + | 15.3738i | 0.658703 | + | 0.760184i | 0.982565 | − | 0.185920i | \(-0.0595266\pi\) |
−0.323862 | + | 0.946104i | \(0.604981\pi\) | |||||||
\(410\) | 1.19108 | − | 6.83757i | 0.0588232 | − | 0.337683i | ||||
\(411\) | 0.657340 | + | 0.314943i | 0.0324242 | + | 0.0155350i | ||||
\(412\) | −0.618015 | + | 4.29839i | −0.0304474 | + | 0.211766i | ||||
\(413\) | 11.3826i | 0.560103i | ||||||||
\(414\) | −13.6172 | + | 4.64467i | −0.669247 | + | 0.228273i | ||||
\(415\) | −4.23796 | − | 37.2998i | −0.208033 | − | 1.83098i | ||||
\(416\) | 6.06664 | + | 0.872251i | 0.297441 | + | 0.0427656i | ||||
\(417\) | 13.9641 | − | 29.1455i | 0.683827 | − | 1.42726i | ||||
\(418\) | 0.334312 | − | 1.13856i | 0.0163517 | − | 0.0556888i | ||||
\(419\) | 17.2325 | + | 19.8874i | 0.841862 | + | 0.971561i | 0.999874 | − | 0.0158763i | \(-0.00505378\pi\) |
−0.158012 | + | 0.987437i | \(0.550508\pi\) | |||||||
\(420\) | 6.81396 | + | 3.51690i | 0.332487 | + | 0.171607i | ||||
\(421\) | 6.47964 | − | 10.0825i | 0.315798 | − | 0.491392i | −0.646676 | − | 0.762765i | \(-0.723841\pi\) |
0.962474 | + | 0.271373i | \(0.0874778\pi\) | |||||||
\(422\) | −3.87414 | + | 8.48319i | −0.188590 | + | 0.412955i | ||||
\(423\) | 8.55409 | + | 10.6391i | 0.415914 | + | 0.517290i | ||||
\(424\) | −2.42234 | − | 3.76924i | −0.117639 | − | 0.183050i | ||||
\(425\) | 9.92817 | − | 3.84012i | 0.481587 | − | 0.186273i | ||||
\(426\) | 16.0943 | + | 14.4728i | 0.779769 | + | 0.701210i | ||||
\(427\) | −11.6824 | − | 18.1781i | −0.565350 | − | 0.879701i | ||||
\(428\) | −0.219283 | − | 0.190010i | −0.0105994 | − | 0.00918446i | ||||
\(429\) | −3.22931 | − | 11.7970i | −0.155913 | − | 0.569563i | ||||
\(430\) | −24.5599 | − | 12.1091i | −1.18439 | − | 0.583951i | ||||
\(431\) | −3.32098 | + | 0.975128i | −0.159966 | + | 0.0469703i | −0.360735 | − | 0.932668i | \(-0.617474\pi\) |
0.200769 | + | 0.979639i | \(0.435656\pi\) | |||||||
\(432\) | −4.89729 | − | 1.73682i | −0.235621 | − | 0.0835630i | ||||
\(433\) | −13.1501 | − | 3.86122i | −0.631954 | − | 0.185558i | −0.0499597 | − | 0.998751i | \(-0.515909\pi\) |
−0.581994 | + | 0.813193i | \(0.697727\pi\) | |||||||
\(434\) | −4.96115 | − | 10.8634i | −0.238143 | − | 0.521460i | ||||
\(435\) | 6.20577 | + | 7.89892i | 0.297544 | + | 0.378724i | ||||
\(436\) | 3.55539i | 0.170272i | ||||||||
\(437\) | 2.33013 | − | 4.35517i | 0.111465 | − | 0.208336i | ||||
\(438\) | −3.60038 | + | 3.00555i | −0.172033 | + | 0.143611i | ||||
\(439\) | −1.33038 | + | 9.25303i | −0.0634958 | + | 0.441623i | 0.933130 | + | 0.359540i | \(0.117066\pi\) |
−0.996626 | + | 0.0820829i | \(0.973843\pi\) | |||||||
\(440\) | −1.32795 | − | 2.20767i | −0.0633075 | − | 0.105247i | ||||
\(441\) | −4.14527 | + | 8.25831i | −0.197394 | + | 0.393253i | ||||
\(442\) | −8.54504 | − | 9.86150i | −0.406446 | − | 0.469064i | ||||
\(443\) | 3.52398 | − | 1.03473i | 0.167429 | − | 0.0491616i | −0.196944 | − | 0.980415i | \(-0.563102\pi\) |
0.364373 | + | 0.931253i | \(0.381283\pi\) | |||||||
\(444\) | 1.82562 | + | 14.6002i | 0.0866402 | + | 0.692893i | ||||
\(445\) | −7.30856 | + | 22.4091i | −0.346459 | + | 1.06229i | ||||
\(446\) | 21.0312 | + | 18.2236i | 0.995854 | + | 0.862912i | ||||
\(447\) | 16.0284 | + | 5.02855i | 0.758115 | + | 0.237842i | ||||
\(448\) | −0.281766 | − | 1.95972i | −0.0133122 | − | 0.0925882i | ||||
\(449\) | −35.6201 | + | 5.12139i | −1.68101 | + | 0.241693i | −0.915671 | − | 0.401929i | \(-0.868340\pi\) |
−0.765343 | + | 0.643622i | \(0.777431\pi\) | |||||||
\(450\) | 8.68936 | + | 12.2268i | 0.409620 | + | 0.576378i | ||||
\(451\) | 2.70269 | + | 2.34189i | 0.127264 | + | 0.110275i | ||||
\(452\) | −13.5928 | − | 6.20764i | −0.639353 | − | 0.291983i | ||||
\(453\) | 0.475183 | + | 3.80021i | 0.0223261 | + | 0.178550i | ||||
\(454\) | −5.03141 | − | 17.1354i | −0.236136 | − | 0.804204i | ||||
\(455\) | −18.3694 | + | 19.9704i | −0.861172 | + | 0.936228i | ||||
\(456\) | 1.63604 | − | 0.711062i | 0.0766144 | − | 0.0332985i | ||||
\(457\) | −2.16833 | − | 4.74797i | −0.101430 | − | 0.222101i | 0.852113 | − | 0.523358i | \(-0.175321\pi\) |
−0.953543 | + | 0.301257i | \(0.902594\pi\) | |||||||
\(458\) | −16.0127 | − | 2.30228i | −0.748224 | − | 0.107578i | ||||
\(459\) | 5.45819 | + | 9.62229i | 0.254767 | + | 0.449130i | ||||
\(460\) | −3.53433 | − | 10.1246i | −0.164789 | − | 0.472064i | ||||
\(461\) | − | 2.28622i | − | 0.106480i | −0.998582 | − | 0.0532399i | \(-0.983045\pi\) | ||
0.998582 | − | 0.0532399i | \(-0.0169548\pi\) | |||||||
\(462\) | −3.36255 | + | 2.07455i | −0.156440 | + | 0.0965167i | ||||
\(463\) | −19.4958 | + | 8.90345i | −0.906049 | + | 0.413778i | −0.813255 | − | 0.581907i | \(-0.802307\pi\) |
−0.0927931 | + | 0.995685i | \(0.529580\pi\) | |||||||
\(464\) | 0.730713 | − | 2.48858i | 0.0339225 | − | 0.115529i | ||||
\(465\) | 1.12258 | − | 23.3349i | 0.0520583 | − | 1.08213i | ||||
\(466\) | −17.9840 | + | 5.28057i | −0.833092 | + | 0.244618i | ||||
\(467\) | −5.61927 | + | 8.74376i | −0.260029 | + | 0.404613i | −0.946580 | − | 0.322468i | \(-0.895487\pi\) |
0.686551 | + | 0.727081i | \(0.259124\pi\) | |||||||
\(468\) | 10.5033 | − | 15.0919i | 0.485515 | − | 0.697623i | ||||
\(469\) | 8.06029 | − | 9.30208i | 0.372190 | − | 0.429530i | ||||
\(470\) | −7.88417 | + | 6.43231i | −0.363670 | + | 0.296700i | ||||
\(471\) | −11.9770 | + | 13.3188i | −0.551871 | + | 0.613699i | ||||
\(472\) | 5.69065 | − | 0.818192i | 0.261933 | − | 0.0376603i | ||||
\(473\) | 11.8694 | − | 7.62802i | 0.545757 | − | 0.350737i | ||||
\(474\) | −0.373559 | + | 20.2953i | −0.0171581 | + | 0.932196i | ||||
\(475\) | −5.04477 | − | 1.03383i | −0.231470 | − | 0.0474352i | ||||
\(476\) | −2.27887 | + | 3.54600i | −0.104452 | + | 0.162531i | ||||
\(477\) | −13.3661 | + | 1.42202i | −0.611991 | + | 0.0651098i | ||||
\(478\) | −11.5926 | + | 10.0450i | −0.530231 | + | 0.459448i | ||||
\(479\) | −9.80548 | − | 2.87915i | −0.448024 | − | 0.131552i | 0.0499347 | − | 0.998752i | \(-0.484099\pi\) |
−0.497959 | + | 0.867201i | \(0.665917\pi\) | |||||||
\(480\) | 1.26845 | − | 3.65938i | 0.0578966 | − | 0.167027i | ||||
\(481\) | −51.5364 | − | 7.40981i | −2.34986 | − | 0.337858i | ||||
\(482\) | − | 18.6543i | − | 0.849682i | ||||||
\(483\) | −15.4652 | + | 5.59478i | −0.703690 | + | 0.254572i | ||||
\(484\) | −9.67255 | −0.439661 | ||||||||
\(485\) | 0.405530 | − | 13.6658i | 0.0184142 | − | 0.620532i | ||||
\(486\) | −11.2476 | + | 10.7931i | −0.510203 | + | 0.489584i | ||||
\(487\) | −4.51226 | + | 15.3673i | −0.204470 | + | 0.696360i | 0.791855 | + | 0.610709i | \(0.209115\pi\) |
−0.996325 | + | 0.0856517i | \(0.972703\pi\) | |||||||
\(488\) | −8.24826 | + | 7.14716i | −0.373381 | + | 0.323537i | ||||
\(489\) | 1.31569 | − | 1.96670i | 0.0594974 | − | 0.0889374i | ||||
\(490\) | −6.17729 | − | 3.04566i | −0.279062 | − | 0.137589i | ||||
\(491\) | −29.6477 | − | 13.5396i | −1.33798 | − | 0.611035i | −0.387515 | − | 0.921863i | \(-0.626666\pi\) |
−0.950466 | + | 0.310828i | \(0.899394\pi\) | |||||||
\(492\) | −0.0989369 | + | 5.37520i | −0.00446042 | + | 0.242333i | ||||
\(493\) | −4.64527 | + | 2.98533i | −0.209212 | + | 0.134453i | ||||
\(494\) | 0.898351 | + | 6.24817i | 0.0404187 | + | 0.281118i | ||||
\(495\) | −7.70637 | + | 0.589337i | −0.346375 | + | 0.0264887i | ||||
\(496\) | −5.07446 | + | 3.26115i | −0.227850 | + | 0.146430i | ||||
\(497\) | 18.6984 | + | 16.2022i | 0.838737 | + | 0.726769i | ||||
\(498\) | 7.67744 | + | 28.0464i | 0.344034 | + | 1.25679i | ||||
\(499\) | 25.0161 | + | 16.0768i | 1.11987 | + | 0.719699i | 0.963422 | − | 0.267987i | \(-0.0863585\pi\) |
0.156450 | + | 0.987686i | \(0.449995\pi\) | |||||||
\(500\) | −9.06684 | + | 6.54159i | −0.405482 | + | 0.292549i | ||||
\(501\) | 5.13474 | − | 31.5761i | 0.229403 | − | 1.41072i | ||||
\(502\) | −2.75997 | − | 0.810401i | −0.123184 | − | 0.0361700i | ||||
\(503\) | −17.7920 | + | 8.12535i | −0.793308 | + | 0.362291i | −0.770493 | − | 0.637448i | \(-0.779990\pi\) |
−0.0228145 | + | 0.999740i | \(0.507263\pi\) | |||||||
\(504\) | −5.63359 | − | 1.88198i | −0.250940 | − | 0.0838298i | ||||
\(505\) | −0.733840 | − | 6.45879i | −0.0326554 | − | 0.287412i | ||||
\(506\) | 5.40907 | + | 1.12847i | 0.240462 | + | 0.0501667i | ||||
\(507\) | 27.2663 | + | 32.6627i | 1.21094 | + | 1.45060i | ||||
\(508\) | 2.97314 | + | 0.427473i | 0.131912 | + | 0.0189660i | ||||
\(509\) | −33.0632 | + | 15.0995i | −1.46550 | + | 0.669272i | −0.978898 | − | 0.204350i | \(-0.934492\pi\) |
−0.486604 | + | 0.873623i | \(0.661765\pi\) | |||||||
\(510\) | −7.14279 | + | 4.11942i | −0.316288 | + | 0.182411i | ||||
\(511\) | −4.05161 | + | 3.51074i | −0.179233 | + | 0.155306i | ||||
\(512\) | −0.959493 | + | 0.281733i | −0.0424040 | + | 0.0124509i | ||||
\(513\) | 0.295326 | − | 5.34348i | 0.0130389 | − | 0.235920i | ||||
\(514\) | 3.30088 | − | 7.22792i | 0.145596 | − | 0.318810i | ||||
\(515\) | −5.48979 | + | 8.00954i | −0.241909 | + | 0.352942i | ||||
\(516\) | 20.2381 | + | 6.34925i | 0.890931 | + | 0.279510i | ||||
\(517\) | −0.746136 | − | 5.18949i | −0.0328150 | − | 0.228234i | ||||
\(518\) | 2.39361 | + | 16.6479i | 0.105169 | + | 0.731468i | ||||
\(519\) | −25.2097 | − | 7.90901i | −1.10659 | − | 0.347167i | ||||
\(520\) | 11.3045 | + | 7.74815i | 0.495733 | + | 0.339779i | ||||
\(521\) | 16.9256 | − | 37.0620i | 0.741526 | − | 1.62371i | −0.0395030 | − | 0.999219i | \(-0.512577\pi\) |
0.781029 | − | 0.624495i | \(-0.214695\pi\) | |||||||
\(522\) | −5.68893 | − | 5.30837i | −0.248998 | − | 0.232341i | ||||
\(523\) | −2.03180 | + | 0.596591i | −0.0888445 | + | 0.0260871i | −0.325853 | − | 0.945421i | \(-0.605651\pi\) |
0.237008 | + | 0.971508i | \(0.423833\pi\) | |||||||
\(524\) | 9.12646 | − | 7.90813i | 0.398691 | − | 0.345468i | ||||
\(525\) | 10.1882 | + | 13.7911i | 0.444648 | + | 0.601892i | ||||
\(526\) | 16.3144 | − | 7.45056i | 0.711343 | − | 0.324860i | ||||
\(527\) | 12.7114 | + | 1.82762i | 0.553717 | + | 0.0796125i | ||||
\(528\) | 1.27885 | + | 1.53196i | 0.0556550 | + | 0.0666699i | ||||
\(529\) | 21.0814 | + | 9.19652i | 0.916581 | + | 0.399849i | ||||
\(530\) | −1.13104 | − | 9.95466i | −0.0491291 | − | 0.432403i | ||||
\(531\) | 5.46489 | − | 16.3588i | 0.237156 | − | 0.709913i | ||||
\(532\) | 1.85485 | − | 0.847080i | 0.0804178 | − | 0.0367256i | ||||
\(533\) | −18.2533 | − | 5.35965i | −0.790637 | − | 0.232152i | ||||
\(534\) | 2.93050 | − | 18.0211i | 0.126815 | − | 0.779851i | ||||
\(535\) | −0.251898 | − | 0.597905i | −0.0108905 | − | 0.0258497i | ||||
\(536\) | −5.22987 | − | 3.36104i | −0.225896 | − | 0.145175i | ||||
\(537\) | −3.70019 | − | 13.5171i | −0.159675 | − | 0.583307i | ||||
\(538\) | 20.2892 | + | 17.5807i | 0.874730 | + | 0.757958i | ||||
\(539\) | 2.98539 | − | 1.91859i | 0.128590 | − | 0.0826397i | ||||
\(540\) | −8.10436 | − | 8.32583i | −0.348756 | − | 0.358287i | ||||
\(541\) | 6.16013 | + | 42.8446i | 0.264845 | + | 1.84204i | 0.495015 | + | 0.868885i | \(0.335163\pi\) |
−0.230170 | + | 0.973150i | \(0.573928\pi\) | |||||||
\(542\) | 27.1922 | − | 17.4753i | 1.16800 | − | 0.750631i | ||||
\(543\) | −0.144188 | + | 7.83366i | −0.00618769 | + | 0.336175i | ||||
\(544\) | 1.93660 | + | 0.884415i | 0.0830310 | + | 0.0379190i | ||||
\(545\) | −3.51564 | + | 7.13051i | −0.150593 | + | 0.305438i | ||||
\(546\) | 11.6866 | − | 17.4693i | 0.500141 | − | 0.747616i | ||||
\(547\) | −0.847136 | + | 0.734048i | −0.0362209 | + | 0.0313856i | −0.672783 | − | 0.739840i | \(-0.734901\pi\) |
0.636562 | + | 0.771225i | \(0.280356\pi\) | |||||||
\(548\) | 0.118561 | − | 0.403780i | 0.00506466 | − | 0.0172486i | ||||
\(549\) | 8.06216 | + | 31.7339i | 0.344084 | + | 1.35437i | ||||
\(550\) | −0.480278 | − | 5.74070i | −0.0204791 | − | 0.244784i | ||||
\(551\) | 2.67125 | 0.113799 | ||||||||
\(552\) | 3.90871 | + | 7.32953i | 0.166366 | + | 0.311965i | ||||
\(553\) | 23.2031i | 0.986698i | ||||||||
\(554\) | −6.59091 | − | 0.947629i | −0.280021 | − | 0.0402609i | ||||
\(555\) | −10.7755 | + | 31.0866i | −0.457396 | + | 1.31955i | ||||
\(556\) | −17.9030 | − | 5.25681i | −0.759258 | − | 0.222938i | ||||
\(557\) | 20.7887 | − | 18.0135i | 0.880845 | − | 0.763257i | −0.0917452 | − | 0.995783i | \(-0.529245\pi\) |
0.972590 | + | 0.232526i | \(0.0746991\pi\) | |||||||
\(558\) | 1.91444 | + | 17.9945i | 0.0810446 | + | 0.761768i | ||||
\(559\) | −40.5783 | + | 63.1410i | −1.71628 | + | 2.67058i | ||||
\(560\) | 1.37272 | − | 4.20894i | 0.0580078 | − | 0.177860i | ||||
\(561\) | 0.0781869 | − | 4.24787i | 0.00330105 | − | 0.179345i | ||||
\(562\) | 7.16107 | − | 4.60214i | 0.302072 | − | 0.194130i | ||||
\(563\) | 0.968031 | − | 0.139182i | 0.0407976 | − | 0.00586582i | −0.121886 | − | 0.992544i | \(-0.538894\pi\) |
0.162683 | + | 0.986678i | \(0.447985\pi\) | |||||||
\(564\) | 5.27015 | − | 5.86058i | 0.221913 | − | 0.246775i | ||||
\(565\) | −21.1229 | − | 25.8906i | −0.888646 | − | 1.08922i | ||||
\(566\) | 5.22669 | − | 6.03192i | 0.219694 | − | 0.253541i | ||||
\(567\) | −12.6277 | + | 12.5719i | −0.530315 | + | 0.527970i | ||||
\(568\) | 6.75612 | − | 10.5127i | 0.283480 | − | 0.441104i | ||||
\(569\) | 21.2268 | − | 6.23274i | 0.889872 | − | 0.261290i | 0.195326 | − | 0.980738i | \(-0.437423\pi\) |
0.694546 | + | 0.719448i | \(0.255605\pi\) | |||||||
\(570\) | 3.98426 | + | 0.191672i | 0.166882 | + | 0.00802826i | ||||
\(571\) | 8.83153 | − | 30.0774i | 0.369588 | − | 1.25870i | −0.539460 | − | 0.842011i | \(-0.681372\pi\) |
0.909048 | − | 0.416691i | \(-0.136810\pi\) | |||||||
\(572\) | −6.42343 | + | 2.93348i | −0.268577 | + | 0.122655i | ||||
\(573\) | −19.6071 | + | 12.0968i | −0.819100 | + | 0.505350i | ||||
\(574\) | 6.14533i | 0.256501i | ||||||||
\(575\) | 2.92317 | − | 23.8003i | 0.121904 | − | 0.992542i | ||||
\(576\) | −0.535931 | + | 2.95174i | −0.0223305 | + | 0.122989i | ||||
\(577\) | −15.0185 | − | 2.15933i | −0.625227 | − | 0.0898941i | −0.177583 | − | 0.984106i | \(-0.556828\pi\) |
−0.447644 | + | 0.894212i | \(0.647737\pi\) | |||||||
\(578\) | 5.17914 | + | 11.3407i | 0.215424 | + | 0.471713i | ||||
\(579\) | 9.03354 | − | 3.92621i | 0.375421 | − | 0.163168i | ||||
\(580\) | 3.92624 | − | 4.26843i | 0.163028 | − | 0.177237i | ||||
\(581\) | 9.36444 | + | 31.8923i | 0.388502 | + | 1.32312i | ||||
\(582\) | 1.31397 | + | 10.5083i | 0.0544659 | + | 0.435583i | ||||
\(583\) | 4.69572 | + | 2.14446i | 0.194477 | + | 0.0888146i | ||||
\(584\) | 2.04640 | + | 1.77321i | 0.0846805 | + | 0.0733761i | ||||
\(585\) | 35.9880 | − | 19.8817i | 1.48792 | − | 0.822007i | ||||
\(586\) | 21.6000 | − | 3.10562i | 0.892289 | − | 0.128292i | ||||
\(587\) | −1.03759 | − | 7.21660i | −0.0428259 | − | 0.297861i | −0.999966 | − | 0.00823577i | \(-0.997378\pi\) |
0.957140 | − | 0.289625i | \(-0.0935306\pi\) | |||||||
\(588\) | 5.09026 | + | 1.59696i | 0.209919 | + | 0.0658574i | ||||
\(589\) | −4.69510 | − | 4.06833i | −0.193458 | − | 0.167633i | ||||
\(590\) | 12.2219 | + | 3.98610i | 0.503169 | + | 0.164105i | ||||
\(591\) | −2.66915 | − | 21.3462i | −0.109794 | − | 0.878065i | ||||
\(592\) | 8.15094 | − | 2.39333i | 0.335001 | − | 0.0983653i | ||||
\(593\) | 8.56362 | + | 9.88294i | 0.351666 | + | 0.405844i | 0.903830 | − | 0.427891i | \(-0.140743\pi\) |
−0.552165 | + | 0.833735i | \(0.686198\pi\) | |||||||
\(594\) | 5.82858 | − | 1.36710i | 0.239149 | − | 0.0560929i | ||||
\(595\) | −8.07675 | + | 4.85829i | −0.331115 | + | 0.199170i | ||||
\(596\) | 1.38027 | − | 9.59999i | 0.0565380 | − | 0.393231i | ||||
\(597\) | −14.5661 | + | 12.1596i | −0.596152 | + | 0.497658i | ||||
\(598\) | −28.6677 | + | 6.49268i | −1.17231 | + | 0.265505i | ||||
\(599\) | 20.7817i | 0.849116i | 0.905401 | + | 0.424558i | \(0.139571\pi\) | ||||
−0.905401 | + | 0.424558i | \(0.860429\pi\) | |||||||
\(600\) | 6.16240 | − | 6.08480i | 0.251579 | − | 0.248411i | ||||
\(601\) | 3.38787 | + | 7.41840i | 0.138194 | + | 0.302603i | 0.966058 | − | 0.258327i | \(-0.0831711\pi\) |
−0.827864 | + | 0.560929i | \(0.810444\pi\) | |||||||
\(602\) | 23.2634 | + | 6.83074i | 0.948145 | + | 0.278400i | ||||
\(603\) | −16.0501 | + | 9.49890i | −0.653609 | + | 0.386825i | ||||
\(604\) | 2.12157 | − | 0.622950i | 0.0863256 | − | 0.0253475i | ||||
\(605\) | −19.3988 | − | 9.56440i | −0.788673 | − | 0.388848i | ||||
\(606\) | 1.32942 | + | 4.85648i | 0.0540038 | + | 0.197281i | ||||
\(607\) | −4.70583 | − | 4.07763i | −0.191004 | − | 0.165506i | 0.554109 | − | 0.832444i | \(-0.313059\pi\) |
−0.745113 | + | 0.666938i | \(0.767604\pi\) | |||||||
\(608\) | −0.556818 | − | 0.866426i | −0.0225820 | − | 0.0351382i | ||||
\(609\) | −6.61348 | − | 5.94719i | −0.267992 | − | 0.240992i | ||||
\(610\) | −23.6096 | + | 6.17795i | −0.955923 | + | 0.250138i | ||||
\(611\) | 15.0785 | + | 23.4626i | 0.610011 | + | 0.949195i | ||||
\(612\) | 4.97760 | − | 4.00211i | 0.201208 | − | 0.161776i | ||||
\(613\) | −16.7844 | + | 36.7527i | −0.677916 | + | 1.48443i | 0.186921 | + | 0.982375i | \(0.440149\pi\) |
−0.864837 | + | 0.502053i | \(0.832578\pi\) | |||||||
\(614\) | 0.739526 | − | 1.15072i | 0.0298448 | − | 0.0464395i | ||||
\(615\) | −5.51353 | + | 10.6824i | −0.222327 | + | 0.430757i | ||||
\(616\) | 1.49381 | + | 1.72395i | 0.0601875 | + | 0.0694600i | ||||
\(617\) | −10.4759 | + | 35.6777i | −0.421745 | + | 1.43633i | 0.425418 | + | 0.904997i | \(0.360127\pi\) |
−0.847163 | + | 0.531333i | \(0.821691\pi\) | |||||||
\(618\) | 3.24996 | − | 6.78322i | 0.130733 | − | 0.272861i | ||||
\(619\) | −23.6819 | − | 3.40494i | −0.951856 | − | 0.136856i | −0.351144 | − | 0.936322i | \(-0.614207\pi\) |
−0.600712 | + | 0.799465i | \(0.705116\pi\) | |||||||
\(620\) | −13.4018 | + | 1.52269i | −0.538228 | + | 0.0611528i | ||||
\(621\) | 24.9123 | − | 0.615736i | 0.999695 | − | 0.0247086i | ||||
\(622\) | − | 29.3880i | − | 1.17835i | ||||||
\(623\) | 2.97014 | − | 20.6578i | 0.118996 | − | 0.827636i | ||||
\(624\) | −9.57366 | − | 4.58692i | −0.383253 | − | 0.183624i | ||||
\(625\) | −24.6525 | + | 4.15402i | −0.986099 | + | 0.166161i | ||||
\(626\) | −17.6780 | − | 20.4015i | −0.706556 | − | 0.815409i | ||||
\(627\) | −1.14281 | + | 1.70829i | −0.0456394 | + | 0.0682223i | ||||
\(628\) | 8.69982 | + | 5.59104i | 0.347161 | + | 0.223107i | ||||
\(629\) | −16.4515 | − | 7.51315i | −0.655964 | − | 0.299569i | ||||
\(630\) | −9.43751 | − | 9.34500i | −0.376000 | − | 0.372314i | ||||
\(631\) | −4.41336 | − | 6.86732i | −0.175693 | − | 0.273384i | 0.742227 | − | 0.670148i | \(-0.233769\pi\) |
−0.917921 | + | 0.396764i | \(0.870133\pi\) | |||||||
\(632\) | 11.6002 | − | 1.66786i | 0.461432 | − | 0.0663439i | ||||
\(633\) | 10.8009 | − | 12.0109i | 0.429296 | − | 0.477391i | ||||
\(634\) | 26.8448 | − | 17.2521i | 1.06614 | − | 0.685168i | ||||
\(635\) | 5.54009 | + | 3.79722i | 0.219852 | + | 0.150688i | ||||
\(636\) | 2.04897 | + | 7.48508i | 0.0812471 | + | 0.296803i | ||||
\(637\) | −10.2062 | + | 15.8812i | −0.404385 | + | 0.629235i | ||||
\(638\) | 0.841892 | + | 2.86722i | 0.0333308 | + | 0.113514i | ||||
\(639\) | −19.0940 | − | 32.2627i | −0.755348 | − | 1.27629i | ||||
\(640\) | −2.20290 | − | 0.383736i | −0.0870771 | − | 0.0151685i | ||||
\(641\) | 6.95608 | + | 15.2317i | 0.274748 | + | 0.601615i | 0.995829 | − | 0.0912357i | \(-0.0290817\pi\) |
−0.721081 | + | 0.692851i | \(0.756354\pi\) | |||||||
\(642\) | 0.263878 | + | 0.427708i | 0.0104144 | + | 0.0168803i | ||||
\(643\) | 37.2181 | 1.46774 | 0.733869 | − | 0.679291i | \(-0.237713\pi\) | ||||
0.733869 | + | 0.679291i | \(0.237713\pi\) | |||||||
\(644\) | 4.62140 | + | 8.29460i | 0.182109 | + | 0.326853i | ||||
\(645\) | 34.3102 | + | 32.7455i | 1.35096 | + | 1.28935i | ||||
\(646\) | −0.312053 | + | 2.17038i | −0.0122776 | + | 0.0853924i | ||||
\(647\) | −8.96178 | − | 19.6236i | −0.352324 | − | 0.771482i | −0.999955 | − | 0.00952755i | \(-0.996967\pi\) |
0.647631 | − | 0.761954i | \(-0.275760\pi\) | |||||||
\(648\) | 7.19290 | + | 5.40946i | 0.282564 | + | 0.212503i | ||||
\(649\) | −5.00602 | + | 4.33774i | −0.196504 | + | 0.170271i | ||||
\(650\) | 15.0101 | + | 26.7174i | 0.588746 | + | 1.04794i | ||||
\(651\) | 2.56652 | + | 20.5254i | 0.100590 | + | 0.804454i | ||||
\(652\) | −1.24268 | − | 0.567512i | −0.0486670 | − | 0.0222255i | ||||
\(653\) | −8.12232 | + | 9.37366i | −0.317851 | + | 0.366820i | −0.892082 | − | 0.451874i | \(-0.850756\pi\) |
0.574231 | + | 0.818693i | \(0.305301\pi\) | |||||||
\(654\) | 1.84338 | − | 5.87574i | 0.0720820 | − | 0.229759i | ||||
\(655\) | 26.1233 | − | 6.83573i | 1.02072 | − | 0.267094i | ||||
\(656\) | 3.07231 | − | 0.441731i | 0.119953 | − | 0.0172467i | ||||
\(657\) | 7.50840 | − | 3.10034i | 0.292931 | − | 0.120956i | ||||
\(658\) | 5.89990 | − | 6.80885i | 0.230002 | − | 0.265437i | ||||
\(659\) | 3.05395 | − | 6.68721i | 0.118965 | − | 0.260497i | −0.840776 | − | 0.541383i | \(-0.817901\pi\) |
0.959741 | + | 0.280886i | \(0.0906283\pi\) | |||||||
\(660\) | 1.04998 | + | 4.33698i | 0.0408704 | + | 0.168817i | ||||
\(661\) | −0.711805 | − | 2.42418i | −0.0276860 | − | 0.0942899i | 0.944491 | − | 0.328537i | \(-0.106556\pi\) |
−0.972177 | + | 0.234247i | \(0.924737\pi\) | |||||||
\(662\) | 18.5223 | + | 21.3759i | 0.719890 | + | 0.830797i | ||||
\(663\) | 9.00882 | + | 20.7278i | 0.349874 | + | 0.805001i | ||||
\(664\) | 15.2712 | − | 6.97412i | 0.592637 | − | 0.270648i | ||||
\(665\) | 4.55760 | + | 0.135246i | 0.176736 | + | 0.00524461i | ||||
\(666\) | 4.55276 | − | 25.0752i | 0.176416 | − | 0.971644i | ||||
\(667\) | 0.993082 | + | 12.3990i | 0.0384523 | + | 0.480090i | ||||
\(668\) | −18.4699 | −0.714624 | ||||||||
\(669\) | −25.3082 | − | 41.0210i | −0.978471 | − | 1.58596i | ||||
\(670\) | −7.16532 | − | 11.9121i | −0.276821 | − | 0.460206i | ||||
\(671\) | 3.54267 | − | 12.0652i | 0.136763 | − | 0.465774i | ||||
\(672\) | −0.550416 | + | 3.38478i | −0.0212327 | + | 0.130571i | ||||
\(673\) | 9.16093 | + | 31.1993i | 0.353128 | + | 1.20264i | 0.924253 | + | 0.381780i | \(0.124689\pi\) |
−0.571125 | + | 0.820863i | \(0.693493\pi\) | |||||||
\(674\) | 22.3726 | + | 14.3780i | 0.861760 | + | 0.553820i | ||||
\(675\) | −8.02097 | − | 24.7116i | −0.308727 | − | 0.951151i | ||||
\(676\) | 16.0866 | − | 18.5649i | 0.618715 | − | 0.714036i | ||||
\(677\) | 3.92374 | + | 6.10546i | 0.150802 | + | 0.234652i | 0.908433 | − | 0.418031i | \(-0.137280\pi\) |
−0.757631 | + | 0.652683i | \(0.773643\pi\) | |||||||
\(678\) | 19.2454 | + | 17.3065i | 0.739115 | + | 0.664651i | ||||
\(679\) | 1.72278 | + | 11.9822i | 0.0661141 | + | 0.459834i | ||||
\(680\) | 3.00942 | + | 3.68869i | 0.115406 | + | 0.141455i | ||||
\(681\) | −0.569250 | + | 30.9271i | −0.0218137 | + | 1.18513i | ||||
\(682\) | 2.88705 | − | 6.32176i | 0.110551 | − | 0.242073i | ||||
\(683\) | 6.66796 | + | 4.28524i | 0.255142 | + | 0.163970i | 0.661960 | − | 0.749540i | \(-0.269725\pi\) |
−0.406817 | + | 0.913510i | \(0.633361\pi\) | |||||||
\(684\) | −3.07243 | + | 0.326876i | −0.117477 | + | 0.0124984i | ||||
\(685\) | 0.637045 | − | 0.692567i | 0.0243402 | − | 0.0264616i | ||||
\(686\) | 19.1489 | + | 5.62263i | 0.731109 | + | 0.214673i | ||||
\(687\) | 25.2694 | + | 12.1070i | 0.964086 | + | 0.461911i | ||||
\(688\) | 1.74278 | − | 12.1213i | 0.0664430 | − | 0.462121i | ||||
\(689\) | −27.4611 | −1.04618 | ||||||||
\(690\) | 0.591547 | + | 18.5648i | 0.0225198 | + | 0.706748i | ||||
\(691\) | −20.3093 | −0.772602 | −0.386301 | − | 0.922373i | \(-0.626247\pi\) | ||||
−0.386301 | + | 0.922373i | \(0.626247\pi\) | |||||||
\(692\) | −2.17092 | + | 15.0991i | −0.0825259 | + | 0.573980i | ||||
\(693\) | 6.63265 | − | 1.68505i | 0.251953 | − | 0.0640099i | ||||
\(694\) | −0.984877 | − | 0.289186i | −0.0373854 | − | 0.0109774i | ||||
\(695\) | −30.7074 | − | 28.2457i | −1.16480 | − | 1.07142i | ||||
\(696\) | −2.49787 | + | 3.73384i | −0.0946814 | + | 0.141531i | ||||
\(697\) | −5.55915 | − | 3.57265i | −0.210568 | − | 0.135324i | ||||
\(698\) | −2.39332 | + | 5.24065i | −0.0905887 | + | 0.198362i | ||||
\(699\) | 32.4587 | + | 0.597440i | 1.22770 | + | 0.0225972i | ||||
\(700\) | 6.91493 | − | 7.08387i | 0.261360 | − | 0.267745i | ||||
\(701\) | −3.09661 | − | 21.5374i | −0.116957 | − | 0.813455i | −0.960875 | − | 0.276982i | \(-0.910666\pi\) |
0.843918 | − | 0.536472i | \(-0.180243\pi\) | |||||||
\(702\) | −25.1828 | + | 19.4956i | −0.950465 | + | 0.735813i | ||||
\(703\) | 4.73020 | + | 7.36033i | 0.178403 | + | 0.277600i | ||||
\(704\) | 0.754499 | − | 0.870738i | 0.0284363 | − | 0.0328172i | ||||
\(705\) | 16.3646 | − | 6.54247i | 0.616327 | − | 0.246404i | ||||
\(706\) | −6.00493 | − | 3.85914i | −0.225999 | − | 0.145240i | ||||
\(707\) | 1.62153 | + | 5.52244i | 0.0609841 | + | 0.207693i | ||||
\(708\) | −9.82875 | − | 1.59830i | −0.369387 | − | 0.0600678i | ||||
\(709\) | 10.6966 | − | 36.4292i | 0.401719 | − | 1.36813i | −0.471958 | − | 0.881621i | \(-0.656453\pi\) |
0.873677 | − | 0.486507i | \(-0.161729\pi\) | |||||||
\(710\) | 23.9449 | − | 14.4032i | 0.898637 | − | 0.540543i | ||||
\(711\) | 11.1400 | − | 33.3470i | 0.417783 | − | 1.25061i | ||||
\(712\) | −10.5412 | −0.395047 | ||||||||
\(713\) | 17.1382 | − | 23.3054i | 0.641831 | − | 0.872795i | ||||
\(714\) | 5.60465 | − | 4.67868i | 0.209749 | − | 0.175095i | ||||
\(715\) | −15.7832 | − | 0.468363i | −0.590258 | − | 0.0175158i | ||||
\(716\) | −7.36004 | + | 3.36122i | −0.275058 | + | 0.125615i | ||||
\(717\) | 24.3663 | − | 10.5902i | 0.909976 | − | 0.395499i | ||||
\(718\) | 7.81698 | + | 9.02128i | 0.291727 | + | 0.336671i | ||||
\(719\) | −7.20030 | − | 24.5220i | −0.268526 | − | 0.914515i | −0.977793 | − | 0.209575i | \(-0.932792\pi\) |
0.709267 | − | 0.704940i | \(-0.249026\pi\) | |||||||
\(720\) | −3.99358 | + | 5.38993i | −0.148832 | + | 0.200871i | ||||
\(721\) | 3.57165 | − | 7.82082i | 0.133015 | − | 0.291263i | ||||
\(722\) | −11.7477 | + | 13.5576i | −0.437205 | + | 0.504561i | ||||
\(723\) | −9.67184 | + | 30.8287i | −0.359700 | + | 1.14653i | ||||
\(724\) | 4.47749 | − | 0.643766i | 0.166405 | − | 0.0239254i | ||||
\(725\) | 12.0950 | − | 4.67822i | 0.449196 | − | 0.173745i | ||||
\(726\) | 15.9851 | + | 5.01499i | 0.593264 | + | 0.186124i | ||||
\(727\) | 8.64617 | − | 9.97821i | 0.320669 | − | 0.370071i | −0.572413 | − | 0.819965i | \(-0.693993\pi\) |
0.893082 | + | 0.449894i | \(0.148538\pi\) | |||||||
\(728\) | −11.0381 | − | 5.04093i | −0.409099 | − | 0.186829i | ||||
\(729\) | 24.1841 | − | 12.0053i | 0.895709 | − | 0.444642i | ||||
\(730\) | 2.35077 | + | 5.57979i | 0.0870058 | + | 0.206517i | ||||
\(731\) | −19.7036 | + | 17.0733i | −0.728763 | + | 0.631477i | ||||
\(732\) | 17.3369 | − | 7.53507i | 0.640792 | − | 0.278504i | ||||
\(733\) | −13.7383 | − | 30.0827i | −0.507436 | − | 1.11113i | −0.973981 | − | 0.226632i | \(-0.927229\pi\) |
0.466545 | − | 0.884497i | \(-0.345499\pi\) | |||||||
\(734\) | −0.589501 | + | 4.10007i | −0.0217589 | + | 0.151336i | ||||
\(735\) | 8.62967 | + | 8.23613i | 0.318310 | + | 0.303794i | ||||
\(736\) | 3.81462 | − | 2.90665i | 0.140609 | − | 0.107141i | ||||
\(737\) | 7.16266 | 0.263840 | ||||||||
\(738\) | 2.95042 | − | 8.83192i | 0.108607 | − | 0.325107i | ||||
\(739\) | 7.44755 | + | 16.3079i | 0.273963 | + | 0.599894i | 0.995737 | − | 0.0922336i | \(-0.0294006\pi\) |
−0.721775 | + | 0.692128i | \(0.756673\pi\) | |||||||
\(740\) | 18.7137 | + | 3.25986i | 0.687929 | + | 0.119835i | ||||
\(741\) | 1.75489 | − | 10.7917i | 0.0644674 | − | 0.396442i | ||||
\(742\) | 2.49920 | + | 8.51150i | 0.0917486 | + | 0.312467i | ||||
\(743\) | −20.5905 | + | 32.0395i | −0.755393 | + | 1.17541i | 0.224223 | + | 0.974538i | \(0.428015\pi\) |
−0.979617 | + | 0.200877i | \(0.935621\pi\) | |||||||
\(744\) | 10.0770 | − | 2.75849i | 0.369442 | − | 0.101131i | ||||
\(745\) | 12.2609 | − | 17.8884i | 0.449203 | − | 0.655381i | ||||
\(746\) | 6.92995 | − | 4.45361i | 0.253724 | − | 0.163058i | ||||
\(747\) | 1.85342 | − | 50.3308i | 0.0678132 | − | 1.84151i | ||||
\(748\) | −2.42795 | + | 0.349087i | −0.0887748 | + | 0.0127639i | ||||
\(749\) | 0.310580 | + | 0.483272i | 0.0113483 | + | 0.0176584i | ||||
\(750\) | 18.3758 | − | 6.10987i | 0.670989 | − | 0.223101i | ||||
\(751\) | 15.5589 | + | 7.10551i | 0.567752 | + | 0.259284i | 0.678544 | − | 0.734560i | \(-0.262611\pi\) |
−0.110792 | + | 0.993844i | \(0.535339\pi\) | |||||||
\(752\) | −3.82812 | − | 2.46018i | −0.139597 | − | 0.0897135i | ||||
\(753\) | 4.14104 | + | 2.77027i | 0.150908 | + | 0.100954i | ||||
\(754\) | −10.4100 | − | 12.0138i | −0.379109 | − | 0.437515i | ||||
\(755\) | 4.87091 | + | 0.848495i | 0.177271 | + | 0.0308799i | ||||
\(756\) | 8.33447 | + | 6.03109i | 0.303122 | + | 0.219349i | ||||
\(757\) | −1.32280 | + | 9.20027i | −0.0480780 | + | 0.334389i | 0.951560 | + | 0.307465i | \(0.0994806\pi\) |
−0.999637 | + | 0.0269249i | \(0.991429\pi\) | |||||||
\(758\) | 23.6563i | 0.859236i | ||||||||
\(759\) | −8.35409 | − | 4.66942i | −0.303234 | − | 0.169489i | ||||
\(760\) | −0.259989 | − | 2.28825i | −0.00943078 | − | 0.0830037i | ||||
\(761\) | 29.6915 | + | 4.26899i | 1.07632 | + | 0.154751i | 0.657601 | − | 0.753366i | \(-0.271571\pi\) |
0.418716 | + | 0.908117i | \(0.362480\pi\) | |||||||
\(762\) | −4.69186 | − | 2.24796i | −0.169968 | − | 0.0814349i | ||||
\(763\) | 1.98318 | − | 6.75408i | 0.0717958 | − | 0.244514i | ||||
\(764\) | 8.71049 | + | 10.0524i | 0.315134 | + | 0.363684i | ||||
\(765\) | 13.9402 | − | 3.10450i | 0.504009 | − | 0.112243i | ||||
\(766\) | −8.92915 | + | 13.8940i | −0.322623 | + | 0.502012i | ||||
\(767\) | 14.6379 | − | 32.0525i | 0.528544 | − | 1.15735i | ||||
\(768\) | 1.73176 | + | 0.0318750i | 0.0624894 | + | 0.00115019i | ||||
\(769\) | −22.6676 | − | 35.2714i | −0.817413 | − | 1.27192i | −0.959399 | − | 0.282051i | \(-0.908985\pi\) |
0.141986 | − | 0.989869i | \(-0.454651\pi\) | |||||||
\(770\) | 1.29124 | + | 4.93459i | 0.0465331 | + | 0.177830i | ||||
\(771\) | −9.20264 | + | 10.2336i | −0.331425 | + | 0.368556i | ||||
\(772\) | −3.07453 | − | 4.78406i | −0.110655 | − | 0.172182i | ||||
\(773\) | 5.07104 | + | 4.39408i | 0.182393 | + | 0.158044i | 0.741272 | − | 0.671205i | \(-0.234223\pi\) |
−0.558879 | + | 0.829249i | \(0.688768\pi\) | |||||||
\(774\) | −30.1541 | − | 20.9859i | −1.08387 | − | 0.754323i | ||||
\(775\) | −28.3836 | − | 10.1981i | −1.01957 | − | 0.366326i | ||||
\(776\) | 5.86655 | − | 1.72258i | 0.210597 | − | 0.0618368i | ||||
\(777\) | 4.67581 | − | 28.7539i | 0.167744 | − | 1.03154i | ||||
\(778\) | 20.1838 | + | 5.92649i | 0.723623 | + | 0.212475i | ||||
\(779\) | 1.32799 | + | 2.90789i | 0.0475802 | + | 0.104186i | ||||
\(780\) | −14.6648 | − | 18.6659i | −0.525085 | − | 0.668347i | ||||
\(781\) | 14.3979i | 0.515196i | ||||||||
\(782\) | −10.1901 | − | 0.641562i | −0.364398 | − | 0.0229422i | ||||
\(783\) | 6.64944 | + | 11.7223i | 0.237631 | + | 0.418922i | ||||
\(784\) | 0.438344 | − | 3.04875i | 0.0156551 | − | 0.108884i | ||||
\(785\) | 11.9194 | + | 19.8157i | 0.425422 | + | 0.707251i | ||||
\(786\) | −19.1828 | + | 8.33734i | −0.684229 | + | 0.297383i | ||||
\(787\) | 4.55611 | + | 5.25803i | 0.162408 | + | 0.187429i | 0.831121 | − | 0.556092i | \(-0.187700\pi\) |
−0.668713 | + | 0.743521i | \(0.733154\pi\) | |||||||
\(788\) | −11.9171 | + | 3.49918i | −0.424529 | + | 0.124653i | ||||
\(789\) | −30.8247 | + | 3.85435i | −1.09739 | + | 0.137219i | ||||
\(790\) | 24.9140 | + | 8.12554i | 0.886402 | + | 0.289094i | ||||
\(791\) | 22.3594 | + | 19.3745i | 0.795008 | + | 0.688878i | ||||
\(792\) | −1.31919 | − | 3.19481i | −0.0468753 | − | 0.113523i | ||||
\(793\) | 9.51976 | + | 66.2114i | 0.338057 | + | 2.35123i | ||||
\(794\) | −37.2266 | + | 5.35238i | −1.32112 | + | 0.189949i | ||||
\(795\) | −3.29207 | + | 17.0378i | −0.116758 | + | 0.604268i | ||||
\(796\) | 8.27913 | + | 7.17391i | 0.293446 | + | 0.254273i | ||||
\(797\) | −2.02013 | − | 0.922561i | −0.0715565 | − | 0.0326788i | 0.379315 | − | 0.925267i | \(-0.376160\pi\) |
−0.450872 | + | 0.892589i | \(0.648887\pi\) | |||||||
\(798\) | −3.50456 | + | 0.438215i | −0.124060 | + | 0.0155126i | ||||
\(799\) | 2.72941 | + | 9.29552i | 0.0965596 | + | 0.328852i | ||||
\(800\) | −4.03857 | − | 2.94787i | −0.142785 | − | 0.104223i | ||||
\(801\) | −14.1866 | + | 28.2628i | −0.501258 | + | 0.998619i | ||||
\(802\) | −6.29444 | − | 13.7829i | −0.222264 | − | 0.486691i | ||||
\(803\) | −3.08801 | − | 0.443989i | −0.108973 | − | 0.0156680i | ||||
\(804\) | 6.90042 | + | 8.26611i | 0.243359 | + | 0.291523i | ||||
\(805\) | 1.06660 | + | 21.2050i | 0.0375928 | + | 0.747377i | ||||
\(806\) | 36.9704i | 1.30223i | ||||||||
\(807\) | −24.4154 | − | 39.5739i | −0.859462 | − | 1.39307i | ||||
\(808\) | 2.64434 | − | 1.20763i | 0.0930276 | − | 0.0424843i | ||||
\(809\) | −4.03083 | + | 13.7278i | −0.141717 | + | 0.482642i | −0.999508 | − | 0.0313550i | \(-0.990018\pi\) |
0.857792 | + | 0.513997i | \(0.171836\pi\) | |||||||
\(810\) | 9.07675 | + | 17.9614i | 0.318925 | + | 0.631100i | ||||
\(811\) | 49.0129 | − | 14.3915i | 1.72108 | − | 0.505353i | 0.735927 | − | 0.677061i | \(-0.236747\pi\) |
0.985148 | + | 0.171707i | \(0.0549284\pi\) | |||||||
\(812\) | −2.77624 | + | 4.31991i | −0.0974268 | + | 0.151599i | ||||
\(813\) | −53.9991 | + | 14.7818i | −1.89383 | + | 0.518419i | ||||
\(814\) | −6.40950 | + | 7.39696i | −0.224653 | + | 0.259263i | ||||
\(815\) | −1.93109 | − | 2.36696i | −0.0676430 | − | 0.0829109i | ||||
\(816\) | −2.74193 | − | 2.46569i | −0.0959868 | − | 0.0863164i | ||||
\(817\) | 12.4840 | − | 1.79493i | 0.436761 | − | 0.0627967i | ||||
\(818\) | −17.1131 | + | 10.9979i | −0.598347 | + | 0.384534i | ||||
\(819\) | −28.3710 | + | 22.8110i | −0.991364 | + | 0.797081i | ||||
\(820\) | 6.59846 | + | 2.15204i | 0.230428 | + | 0.0751526i | ||||
\(821\) | 4.13738 | − | 6.43789i | 0.144396 | − | 0.224684i | −0.761521 | − | 0.648140i | \(-0.775547\pi\) |
0.905916 | + | 0.423456i | \(0.139183\pi\) | |||||||
\(822\) | −0.405287 | + | 0.605828i | −0.0141360 | + | 0.0211307i | ||||
\(823\) | 3.12371 | − | 2.70671i | 0.108886 | − | 0.0943501i | −0.598716 | − | 0.800961i | \(-0.704322\pi\) |
0.707602 | + | 0.706611i | \(0.249777\pi\) | |||||||
\(824\) | −4.16669 | − | 1.22345i | −0.145153 | − | 0.0426209i | ||||
\(825\) | −2.18270 | + | 9.73627i | −0.0759918 | + | 0.338973i | ||||
\(826\) | −11.2668 | − | 1.61992i | −0.392021 | − | 0.0563641i | ||||
\(827\) | − | 27.3360i | − | 0.950567i | −0.879833 | − | 0.475284i | \(-0.842345\pi\) | ||
0.879833 | − | 0.475284i | \(-0.157655\pi\) | |||||||
\(828\) | −2.65947 | − | 14.1396i | −0.0924229 | − | 0.491384i | ||||
\(829\) | −20.4731 | −0.711061 | −0.355530 | − | 0.934665i | \(-0.615700\pi\) | ||||
−0.355530 | + | 0.934665i | \(0.615700\pi\) | |||||||
\(830\) | 37.5233 | + | 1.11350i | 1.30245 | + | 0.0386500i | ||||
\(831\) | 10.4010 | + | 4.98331i | 0.360807 | + | 0.172869i | ||||
\(832\) | −1.72675 | + | 5.88075i | −0.0598641 | + | 0.203878i | ||||
\(833\) | −4.95583 | + | 4.29425i | −0.171709 | + | 0.148787i | ||||
\(834\) | 26.8616 | + | 17.9699i | 0.930139 | + | 0.622245i | ||||
\(835\) | −37.0424 | − | 18.2634i | −1.28191 | − | 0.632032i | ||||
\(836\) | 1.07939 | + | 0.492943i | 0.0373316 | + | 0.0170488i | ||||
\(837\) | 6.16587 | − | 30.7308i | 0.213123 | − | 1.06221i | ||||
\(838\) | −22.1374 | + | 14.2268i | −0.764723 | + | 0.491458i | ||||
\(839\) | −5.11611 | − | 35.5833i | −0.176628 | − | 1.22847i | −0.864497 | − | 0.502638i | \(-0.832363\pi\) |
0.687869 | − | 0.725835i | \(-0.258546\pi\) | |||||||
\(840\) | −4.45083 | + | 6.24409i | −0.153568 | + | 0.215442i | ||||
\(841\) | 18.7373 | − | 12.0417i | 0.646113 | − | 0.415231i | ||||
\(842\) | 9.05774 | + | 7.84857i | 0.312150 | + | 0.270480i | ||||
\(843\) | −14.2207 | + | 3.89279i | −0.489787 | + | 0.134075i | ||||
\(844\) | −7.84550 | − | 5.04200i | −0.270053 | − | 0.173553i | ||||
\(845\) | 50.6199 | − | 21.3262i | 1.74138 | − | 0.733643i | ||||
\(846\) | −11.7482 | + | 6.95292i | −0.403910 | + | 0.239046i | ||||
\(847\) | 18.3747 | + | 5.39530i | 0.631362 | + | 0.185385i | ||||
\(848\) | 4.07561 | − | 1.86127i | 0.139957 | − | 0.0639162i | ||||
\(849\) | −11.7652 | + | 7.25861i | −0.403780 | + | 0.249115i | ||||
\(850\) | 2.38810 | + | 10.3736i | 0.0819113 | + | 0.355812i | ||||
\(851\) | −32.4054 | + | 24.6922i | −1.11084 | + | 0.846436i | ||||
\(852\) | −16.6160 | + | 13.8707i | −0.569253 | + | 0.475204i | ||||
\(853\) | 44.2725 | + | 6.36543i | 1.51586 | + | 0.217948i | 0.849464 | − | 0.527647i | \(-0.176926\pi\) |
0.666399 | + | 0.745595i | \(0.267835\pi\) | |||||||
\(854\) | 19.6557 | − | 8.97644i | 0.672603 | − | 0.307168i | ||||
\(855\) | −6.48513 | − | 2.38251i | −0.221787 | − | 0.0814801i | ||||
\(856\) | 0.219283 | − | 0.190010i | 0.00749493 | − | 0.00649440i | ||||
\(857\) | −34.8544 | + | 10.2342i | −1.19060 | + | 0.349593i | −0.816253 | − | 0.577695i | \(-0.803952\pi\) |
−0.374350 | + | 0.927287i | \(0.622134\pi\) | |||||||
\(858\) | 12.1365 | − | 1.51756i | 0.414333 | − | 0.0518086i | ||||
\(859\) | −0.715242 | + | 1.56616i | −0.0244038 | + | 0.0534368i | −0.921441 | − | 0.388517i | \(-0.872987\pi\) |
0.897038 | + | 0.441954i | \(0.145715\pi\) | |||||||
\(860\) | 15.4810 | − | 22.5866i | 0.527899 | − | 0.770198i | ||||
\(861\) | 3.18621 | − | 10.1560i | 0.108586 | − | 0.346114i | ||||
\(862\) | −0.492578 | − | 3.42595i | −0.0167773 | − | 0.116688i | ||||
\(863\) | −5.00924 | − | 34.8400i | −0.170516 | − | 1.18597i | −0.877796 | − | 0.479034i | \(-0.840987\pi\) |
0.707280 | − | 0.706933i | \(-0.249922\pi\) | |||||||
\(864\) | 2.41610 | − | 4.60027i | 0.0821975 | − | 0.156504i | ||||
\(865\) | −19.2841 | + | 28.1353i | −0.655680 | + | 0.956629i | ||||
\(866\) | 5.69338 | − | 12.4668i | 0.193469 | − | 0.423638i | ||||
\(867\) | −2.67930 | − | 21.4273i | −0.0909937 | − | 0.727709i | ||||
\(868\) | 11.4589 | − | 3.36463i | 0.388940 | − | 0.114203i | ||||
\(869\) | −10.2046 | + | 8.84235i | −0.346168 | + | 0.299956i | ||||
\(870\) | −8.70170 | + | 5.01847i | −0.295015 | + | 0.170142i | ||||
\(871\) | −34.6594 | + | 15.8284i | −1.17439 | + | 0.536326i | ||||
\(872\) | −3.51920 | − | 0.505984i | −0.119175 | − | 0.0171348i | ||||
\(873\) | 3.27680 | − | 18.0476i | 0.110903 | − | 0.610819i | ||||
\(874\) | 3.97923 | + | 2.92622i | 0.134599 | + | 0.0989810i | ||||
\(875\) | 20.8729 | − | 7.36945i | 0.705634 | − | 0.249133i | ||||
\(876\) | −2.46257 | − | 3.99147i | −0.0832024 | − | 0.134859i | ||||
\(877\) | −22.4894 | + | 10.2706i | −0.759415 | + | 0.346813i | −0.757199 | − | 0.653185i | \(-0.773433\pi\) |
−0.00221582 | + | 0.999998i | \(0.500705\pi\) | |||||||
\(878\) | −8.96951 | − | 2.63369i | −0.302706 | − | 0.0888826i | ||||
\(879\) | −37.3070 | − | 6.06668i | −1.25834 | − | 0.204624i | ||||
\(880\) | 2.37419 | − | 1.00025i | 0.0800339 | − | 0.0337183i | ||||
\(881\) | 1.33244 | + | 0.856307i | 0.0448910 | + | 0.0288497i | 0.562894 | − | 0.826529i | \(-0.309688\pi\) |
−0.518003 | + | 0.855379i | \(0.673324\pi\) | |||||||
\(882\) | −7.58432 | − | 5.27836i | −0.255377 | − | 0.177732i | ||||
\(883\) | −15.1254 | − | 13.1062i | −0.509010 | − | 0.441060i | 0.362106 | − | 0.932137i | \(-0.382058\pi\) |
−0.871116 | + | 0.491077i | \(0.836603\pi\) | |||||||
\(884\) | 10.9772 | − | 7.05463i | 0.369204 | − | 0.237273i | ||||
\(885\) | −18.1316 | − | 12.9243i | −0.609488 | − | 0.434447i | ||||
\(886\) | 0.522687 | + | 3.63536i | 0.0175600 | + | 0.122132i | ||||
\(887\) | −20.6218 | + | 13.2528i | −0.692412 | + | 0.444986i | −0.838943 | − | 0.544220i | \(-0.816826\pi\) |
0.146530 | + | 0.989206i | \(0.453189\pi\) | |||||||
\(888\) | −14.7114 | − | 0.270780i | −0.493681 | − | 0.00908677i | ||||
\(889\) | −5.40956 | − | 2.47046i | −0.181431 | − | 0.0828567i | ||||
\(890\) | −21.1409 | − | 10.4233i | −0.708643 | − | 0.349390i | ||||
\(891\) | −10.3413 | − | 0.762665i | −0.346446 | − | 0.0255503i | ||||
\(892\) | −21.0312 | + | 18.2236i | −0.704175 | + | 0.610171i | ||||
\(893\) | 1.32038 | − | 4.49681i | 0.0441849 | − | 0.150480i | ||||
\(894\) | −7.25844 | + | 15.1496i | −0.242758 | + | 0.506678i | ||||
\(895\) | −18.0846 | − | 0.536656i | −0.604501 | − | 0.0179384i | ||||
\(896\) | 1.97987 | 0.0661430 | ||||||||
\(897\) | 50.7434 | + | 4.13355i | 1.69427 | + | 0.138015i | ||||
\(898\) | − | 35.9863i | − | 1.20088i | ||||||
\(899\) | 15.4856 | + | 2.22650i | 0.516475 | + | 0.0742579i | ||||
\(900\) | −13.3390 | + | 6.86085i | −0.444633 | + | 0.228695i | ||||
\(901\) | −9.15256 | − | 2.68743i | −0.304916 | − | 0.0895314i | ||||
\(902\) | −2.70269 | + | 2.34189i | −0.0899896 | + | 0.0779764i | ||||
\(903\) | −34.9042 | − | 23.3502i | −1.16154 | − | 0.777046i | ||||
\(904\) | 8.07891 | − | 12.5710i | 0.268701 | − | 0.418106i | ||||
\(905\) | 9.61641 | + | 3.13632i | 0.319660 | + | 0.104255i | ||||
\(906\) | −3.82916 | − | 0.0704801i | −0.127215 | − | 0.00234155i | ||||
\(907\) | −27.1997 | + | 17.4802i | −0.903150 | + | 0.580419i | −0.907723 | − | 0.419570i | \(-0.862181\pi\) |
0.00457305 | + | 0.999990i | \(0.498544\pi\) | |||||||
\(908\) | 17.6770 | − | 2.54157i | 0.586633 | − | 0.0843451i | ||||
\(909\) | 0.320936 | − | 8.71522i | 0.0106448 | − | 0.289066i | ||||
\(910\) | −17.1529 | − | 21.0245i | −0.568614 | − | 0.696957i | ||||
\(911\) | 21.6456 | − | 24.9803i | 0.717150 | − | 0.827635i | −0.273811 | − | 0.961783i | \(-0.588284\pi\) |
0.990961 | + | 0.134148i | \(0.0428298\pi\) | |||||||
\(912\) | 0.470992 | + | 1.72058i | 0.0155961 | + | 0.0569740i | ||||
\(913\) | −10.4574 | + | 16.2721i | −0.346091 | + | 0.538528i | ||||
\(914\) | 5.00823 | − | 1.47055i | 0.165658 | − | 0.0486414i | ||||
\(915\) | 42.2210 | + | 2.03113i | 1.39578 | + | 0.0671472i | ||||
\(916\) | 4.55769 | − | 15.5221i | 0.150590 | − | 0.512863i | ||||
\(917\) | −21.7484 | + | 9.93218i | −0.718197 | + | 0.327989i | ||||
\(918\) | −10.3011 | + | 4.03324i | −0.339988 | + | 0.133117i | ||||
\(919\) | 24.6901i | 0.814452i | 0.913328 | + | 0.407226i | \(0.133504\pi\) | ||||
−0.913328 | + | 0.407226i | \(0.866496\pi\) | |||||||
\(920\) | 10.5246 | − | 2.05747i | 0.346985 | − | 0.0678327i | ||||
\(921\) | −1.81879 | + | 1.51829i | −0.0599310 | + | 0.0500295i | ||||
\(922\) | 2.26295 | + | 0.325363i | 0.0745262 | + | 0.0107152i | ||||
\(923\) | −31.8172 | − | 69.6699i | −1.04728 | − | 2.29321i | ||||
\(924\) | −1.57489 | − | 3.62356i | −0.0518101 | − | 0.119206i | ||||
\(925\) | 34.3079 | + | 25.0423i | 1.12804 | + | 0.823385i | ||||
\(926\) | −6.03828 | − | 20.5645i | −0.198430 | − | 0.675791i | ||||
\(927\) | −8.88792 | + | 9.52511i | −0.291918 | + | 0.312846i | ||||
\(928\) | 2.35926 | + | 1.07744i | 0.0774465 | + | 0.0353686i | ||||
\(929\) | −3.65462 | − | 3.16675i | −0.119904 | − | 0.103898i | 0.592845 | − | 0.805317i | \(-0.298005\pi\) |
−0.712749 | + | 0.701419i | \(0.752550\pi\) | |||||||
\(930\) | 22.9376 | + | 4.43206i | 0.752155 | + | 0.145333i | ||||
\(931\) | 3.13997 | − | 0.451460i | 0.102908 | − | 0.0147960i | ||||
\(932\) | −2.66744 | − | 18.5524i | −0.0873748 | − | 0.607705i | ||||
\(933\) | −15.2370 | + | 48.5675i | −0.498837 | + | 1.59003i | ||||
\(934\) | −7.85506 | − | 6.80644i | −0.257025 | − | 0.222714i | ||||
\(935\) | −5.21457 | − | 1.70070i | −0.170535 | − | 0.0556187i | ||||
\(936\) | 13.4435 | + | 12.5442i | 0.439415 | + | 0.410019i | ||||
\(937\) | 42.9289 | − | 12.6051i | 1.40243 | − | 0.411789i | 0.508909 | − | 0.860820i | \(-0.330049\pi\) |
0.893516 | + | 0.449031i | \(0.148231\pi\) | |||||||
\(938\) | 8.06029 | + | 9.30208i | 0.263178 | + | 0.303724i | ||||
\(939\) | 18.6375 | + | 42.8818i | 0.608212 | + | 1.39939i | ||||
\(940\) | −5.24481 | − | 8.71933i | −0.171067 | − | 0.284393i | ||||
\(941\) | 3.93962 | − | 27.4006i | 0.128428 | − | 0.893235i | −0.819120 | − | 0.573622i | \(-0.805538\pi\) |
0.947548 | − | 0.319613i | \(-0.103553\pi\) | |||||||
\(942\) | −11.4788 | − | 13.7506i | −0.373998 | − | 0.448017i | ||||
\(943\) | −13.0037 | + | 7.24510i | −0.423457 | + | 0.235933i | ||||
\(944\) | 5.74917i | 0.187120i | ||||||||
\(945\) | 10.7515 | + | 20.3369i | 0.349748 | + | 0.661561i | ||||
\(946\) | 5.86118 | + | 12.8342i | 0.190564 | + | 0.417276i | ||||
\(947\) | 47.4207 | + | 13.9240i | 1.54096 | + | 0.452468i | 0.938385 | − | 0.345591i | \(-0.112321\pi\) |
0.602579 | + | 0.798059i | \(0.294140\pi\) | |||||||
\(948\) | −20.0356 | − | 3.25808i | −0.650726 | − | 0.105818i | ||||
\(949\) | 15.9237 | − | 4.67563i | 0.516906 | − | 0.151777i | ||||
\(950\) | 1.74125 | − | 4.84629i | 0.0564936 | − | 0.157235i | ||||
\(951\) | −53.3092 | + | 14.5929i | −1.72867 | + | 0.473208i | ||||
\(952\) | −3.18559 | − | 2.76033i | −0.103245 | − | 0.0894627i | ||||
\(953\) | 19.0934 | + | 29.7099i | 0.618496 | + | 0.962399i | 0.999288 | + | 0.0377382i | \(0.0120153\pi\) |
−0.380791 | + | 0.924661i | \(0.624348\pi\) | |||||||
\(954\) | 0.494646 | − | 13.4324i | 0.0160147 | − | 0.434890i | ||||
\(955\) | 7.52928 | + | 28.7738i | 0.243642 | + | 0.931097i | ||||
\(956\) | −8.29298 | − | 12.9041i | −0.268214 | − | 0.417349i | ||||
\(957\) | 0.0952511 | − | 5.17496i | 0.00307903 | − | 0.167283i | ||||
\(958\) | 4.24531 | − | 9.29593i | 0.137160 | − | 0.300338i | ||||
\(959\) | −0.450453 | + | 0.700919i | −0.0145459 | + | 0.0226338i | ||||
\(960\) | 3.44161 | + | 1.77632i | 0.111077 | + | 0.0573306i | ||||
\(961\) | −3.52658 | − | 4.06989i | −0.113761 | − | 0.131287i | ||||
\(962\) | 14.6688 | − | 49.9573i | 0.472940 | − | 1.61069i | ||||
\(963\) | −0.214335 | − | 0.843658i | −0.00690685 | − | 0.0271865i | ||||
\(964\) | 18.4645 | + | 2.65479i | 0.594701 | + | 0.0855051i | ||||
\(965\) | −1.43555 | − | 12.6348i | −0.0462121 | − | 0.406730i | ||||
\(966\) | −3.33691 | − | 16.1040i | −0.107363 | − | 0.518137i | ||||
\(967\) | − | 6.05303i | − | 0.194652i | −0.995253 | − | 0.0973261i | \(-0.968971\pi\) | ||
0.995253 | − | 0.0973261i | \(-0.0310290\pi\) | |||||||
\(968\) | 1.37655 | − | 9.57409i | 0.0442439 | − | 0.307723i | ||||
\(969\) | 1.64100 | − | 3.42504i | 0.0527164 | − | 0.110028i | ||||
\(970\) | 13.4690 | + | 2.34625i | 0.432463 | + | 0.0753335i | ||||
\(971\) | −0.779866 | − | 0.900013i | −0.0250271 | − | 0.0288828i | 0.743098 | − | 0.669183i | \(-0.233356\pi\) |
−0.768125 | + | 0.640300i | \(0.778810\pi\) | |||||||
\(972\) | −9.08252 | − | 12.6692i | −0.291322 | − | 0.406364i | ||||
\(973\) | 31.0777 | + | 19.9725i | 0.996307 | + | 0.640288i | ||||
\(974\) | −14.5688 | − | 6.65333i | −0.466813 | − | 0.213186i | ||||
\(975\) | −10.9539 | − | 51.9363i | −0.350804 | − | 1.66329i | ||||
\(976\) | −5.90056 | − | 9.18145i | −0.188872 | − | 0.293891i | ||||
\(977\) | −31.1930 | + | 4.48488i | −0.997953 | + | 0.143484i | −0.621885 | − | 0.783108i | \(-0.713633\pi\) |
−0.376068 | + | 0.926592i | \(0.622724\pi\) | |||||||
\(978\) | 1.75944 | + | 1.58219i | 0.0562608 | + | 0.0505927i | ||||
\(979\) | 10.2171 | − | 6.56610i | 0.326538 | − | 0.209853i | ||||
\(980\) | 3.89378 | − | 5.68097i | 0.124382 | − | 0.181472i | ||||
\(981\) | −6.09286 | + | 8.75466i | −0.194530 | + | 0.279515i | ||||
\(982\) | 17.6211 | − | 27.4190i | 0.562313 | − | 0.874976i | ||||
\(983\) | 13.1080 | + | 44.6419i | 0.418081 | + | 1.42385i | 0.852303 | + | 0.523048i | \(0.175205\pi\) |
−0.434222 | + | 0.900806i | \(0.642977\pi\) | |||||||
\(984\) | −5.30641 | − | 0.862901i | −0.169162 | − | 0.0275083i | ||||
\(985\) | −27.3604 | − | 4.76608i | −0.871775 | − | 0.151860i | ||||
\(986\) | −2.29385 | − | 5.02284i | −0.0730512 | − | 0.159960i | ||||
\(987\) | −13.2806 | + | 8.19354i | −0.422725 | + | 0.260803i | ||||
\(988\) | −6.31242 | −0.200825 | ||||||||
\(989\) | 12.9726 | + | 57.2790i | 0.412504 | + | 1.82137i | ||||
\(990\) | 0.513393 | − | 7.71180i | 0.0163167 | − | 0.245097i | ||||
\(991\) | −5.38504 | + | 37.4538i | −0.171061 | + | 1.18976i | 0.705586 | + | 0.708624i | \(0.250684\pi\) |
−0.876647 | + | 0.481133i | \(0.840225\pi\) | |||||||
\(992\) | −2.50579 | − | 5.48692i | −0.0795589 | − | 0.174210i | ||||
\(993\) | −19.5276 | − | 44.9298i | −0.619690 | − | 1.42580i | ||||
\(994\) | −18.6984 | + | 16.2022i | −0.593076 | + | 0.513904i | ||||
\(995\) | 9.51053 | + | 22.5742i | 0.301504 | + | 0.715651i | ||||
\(996\) | −28.8535 | + | 3.60788i | −0.914259 | + | 0.114320i | ||||
\(997\) | −4.98354 | − | 2.27591i | −0.157830 | − | 0.0720787i | 0.334934 | − | 0.942242i | \(-0.391286\pi\) |
−0.492764 | + | 0.870163i | \(0.664013\pi\) | |||||||
\(998\) | −19.4734 | + | 22.4735i | −0.616419 | + | 0.711385i | ||||
\(999\) | −20.5249 | + | 39.0795i | −0.649379 | + | 1.23642i |
(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 | 690.2.n.a.659.16 | yes | 240 | |
3.2 | odd | 2 | 690.2.n.b.659.23 | yes | 240 | ||
5.4 | even | 2 | 690.2.n.b.659.9 | yes | 240 | ||
15.14 | odd | 2 | inner | 690.2.n.a.659.2 | yes | 240 | |
23.20 | odd | 22 | inner | 690.2.n.a.89.2 | ✓ | 240 | |
69.20 | even | 22 | 690.2.n.b.89.9 | yes | 240 | ||
115.89 | odd | 22 | 690.2.n.b.89.23 | yes | 240 | ||
345.89 | even | 22 | inner | 690.2.n.a.89.16 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.n.a.89.2 | ✓ | 240 | 23.20 | odd | 22 | inner | |
690.2.n.a.89.16 | yes | 240 | 345.89 | even | 22 | inner | |
690.2.n.a.659.2 | yes | 240 | 15.14 | odd | 2 | inner | |
690.2.n.a.659.16 | yes | 240 | 1.1 | even | 1 | trivial | |
690.2.n.b.89.9 | yes | 240 | 69.20 | even | 22 | ||
690.2.n.b.89.23 | yes | 240 | 115.89 | odd | 22 | ||
690.2.n.b.659.9 | yes | 240 | 5.4 | even | 2 | ||
690.2.n.b.659.23 | yes | 240 | 3.2 | odd | 2 |