Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,3,Mod(5,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([23]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.h (of order \(54\), degree \(18\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.41418028264\) |
Analytic rank: | \(0\) |
Dimension: | \(324\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 65.8 | ||
Character | \(\chi\) | \(=\) | 162.65 |
Dual form | 162.3.h.a.5.8 |
$q$-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 \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{31}{54}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.326140 | + | 1.37609i | −0.163070 | + | 0.688047i | ||||
\(3\) | 2.56706 | + | 1.55248i | 0.855688 | + | 0.517492i | ||||
\(4\) | −1.78727 | − | 0.897598i | −0.446816 | − | 0.224400i | ||||
\(5\) | −0.00733898 | − | 0.00546367i | −0.00146780 | − | 0.00109273i | 0.596424 | − | 0.802669i | \(-0.296588\pi\) |
−0.597892 | + | 0.801576i | \(0.703995\pi\) | |||||||
\(6\) | −2.97357 | + | 3.02620i | −0.495596 | + | 0.504366i | ||||
\(7\) | 2.72886 | + | 1.79480i | 0.389837 | + | 0.256400i | 0.729264 | − | 0.684233i | \(-0.239863\pi\) |
−0.339427 | + | 0.940632i | \(0.610233\pi\) | |||||||
\(8\) | 1.81808 | − | 2.16670i | 0.227260 | − | 0.270838i | ||||
\(9\) | 4.17964 | + | 7.97061i | 0.464405 | + | 0.885623i | ||||
\(10\) | 0.00991205 | − | 0.00831720i | 0.000991205 | − | 0.000831720i | ||||
\(11\) | 1.72906 | + | 14.7930i | 0.157187 | + | 1.34482i | 0.809610 | + | 0.586968i | \(0.199678\pi\) |
−0.652423 | + | 0.757855i | \(0.726248\pi\) | |||||||
\(12\) | −3.19453 | − | 5.07888i | −0.266211 | − | 0.423240i | ||||
\(13\) | −1.56207 | + | 5.21766i | −0.120159 | + | 0.401359i | −0.996814 | − | 0.0797606i | \(-0.974584\pi\) |
0.876655 | + | 0.481119i | \(0.159770\pi\) | |||||||
\(14\) | −3.35980 | + | 3.16981i | −0.239986 | + | 0.226415i | ||||
\(15\) | −0.0103574 | − | 0.0254192i | −0.000690495 | − | 0.00169461i | ||||
\(16\) | 2.38863 | + | 3.20849i | 0.149290 | + | 0.200531i | ||||
\(17\) | −6.21509 | + | 1.09589i | −0.365593 | + | 0.0644640i | −0.353427 | − | 0.935462i | \(-0.614984\pi\) |
−0.0121661 | + | 0.999926i | \(0.503873\pi\) | |||||||
\(18\) | −12.3314 | + | 3.15204i | −0.685081 | + | 0.175113i | ||||
\(19\) | 4.07160 | − | 23.0912i | 0.214295 | − | 1.21533i | −0.667831 | − | 0.744313i | \(-0.732777\pi\) |
0.882126 | − | 0.471014i | \(-0.156112\pi\) | |||||||
\(20\) | 0.00821253 | + | 0.0163525i | 0.000410626 | + | 0.000817624i | ||||
\(21\) | 4.21877 | + | 8.84384i | 0.200894 | + | 0.421135i | ||||
\(22\) | −20.9205 | − | 2.44526i | −0.950933 | − | 0.111148i | ||||
\(23\) | 6.78406 | + | 10.3147i | 0.294959 | + | 0.448464i | 0.952315 | − | 0.305117i | \(-0.0986955\pi\) |
−0.657356 | + | 0.753580i | \(0.728325\pi\) | |||||||
\(24\) | 8.03087 | − | 2.73954i | 0.334620 | − | 0.114148i | ||||
\(25\) | −7.17006 | − | 23.9497i | −0.286802 | − | 0.957986i | ||||
\(26\) | −6.67054 | − | 3.85124i | −0.256559 | − | 0.148124i | ||||
\(27\) | −1.64476 | + | 26.9499i | −0.0609172 | + | 0.998143i | ||||
\(28\) | −3.26618 | − | 5.65720i | −0.116649 | − | 0.202043i | ||||
\(29\) | 2.05855 | + | 1.94214i | 0.0709845 | + | 0.0669704i | 0.720916 | − | 0.693022i | \(-0.243721\pi\) |
−0.649932 | + | 0.759992i | \(0.725203\pi\) | |||||||
\(30\) | 0.0383571 | − | 0.00596257i | 0.00127857 | − | 0.000198752i | ||||
\(31\) | −0.593780 | − | 10.1948i | −0.0191542 | − | 0.328865i | −0.994250 | − | 0.107082i | \(-0.965849\pi\) |
0.975096 | − | 0.221783i | \(-0.0711877\pi\) | |||||||
\(32\) | −5.19421 | + | 2.24057i | −0.162319 | + | 0.0700177i | ||||
\(33\) | −18.5272 | + | 40.6590i | −0.561431 | + | 1.23209i | ||||
\(34\) | 0.518945 | − | 8.90995i | 0.0152631 | − | 0.262057i | ||||
\(35\) | −0.0102208 | − | 0.0280815i | −0.000292024 | − | 0.000802330i | ||||
\(36\) | −0.315722 | − | 17.9972i | −0.00877007 | − | 0.499923i | ||||
\(37\) | 8.05693 | + | 2.93248i | 0.217755 | + | 0.0792563i | 0.448594 | − | 0.893736i | \(-0.351925\pi\) |
−0.230839 | + | 0.972992i | \(0.574147\pi\) | |||||||
\(38\) | 30.4477 | + | 13.1339i | 0.801256 | + | 0.345628i | ||||
\(39\) | −12.1102 | + | 10.9690i | −0.310518 | + | 0.281257i | ||||
\(40\) | −0.0251810 | + | 0.00596800i | −0.000629524 | + | 0.000149200i | ||||
\(41\) | 2.32118 | + | 9.79384i | 0.0566142 | + | 0.238874i | 0.993994 | − | 0.109435i | \(-0.0349041\pi\) |
−0.937380 | + | 0.348309i | \(0.886756\pi\) | |||||||
\(42\) | −13.5459 | + | 2.92109i | −0.322521 | + | 0.0695498i | ||||
\(43\) | 19.9851 | − | 46.3306i | 0.464769 | − | 1.07746i | −0.511183 | − | 0.859472i | \(-0.670793\pi\) |
0.975952 | − | 0.217985i | \(-0.0699482\pi\) | |||||||
\(44\) | 10.1879 | − | 27.9911i | 0.231544 | − | 0.636161i | ||||
\(45\) | 0.0128745 | − | 0.0813323i | 0.000286099 | − | 0.00180738i | ||||
\(46\) | −16.4065 | + | 5.97148i | −0.356663 | + | 0.129815i | ||||
\(47\) | 63.1002 | + | 3.67517i | 1.34256 | + | 0.0781950i | 0.714316 | − | 0.699824i | \(-0.246738\pi\) |
0.628241 | + | 0.778019i | \(0.283775\pi\) | |||||||
\(48\) | 1.15067 | + | 11.9447i | 0.0239724 | + | 0.248848i | ||||
\(49\) | −15.1825 | − | 35.1971i | −0.309848 | − | 0.718308i | ||||
\(50\) | 35.2954 | − | 2.05572i | 0.705908 | − | 0.0411145i | ||||
\(51\) | −17.6559 | − | 6.83555i | −0.346193 | − | 0.134030i | ||||
\(52\) | 7.47519 | − | 7.92324i | 0.143754 | − | 0.152370i | ||||
\(53\) | 51.7250 | − | 29.8635i | 0.975944 | − | 0.563462i | 0.0749010 | − | 0.997191i | \(-0.476136\pi\) |
0.901043 | + | 0.433729i | \(0.142803\pi\) | |||||||
\(54\) | −36.5491 | − | 11.0528i | −0.676835 | − | 0.204681i | ||||
\(55\) | 0.0681348 | − | 0.118013i | 0.00123881 | − | 0.00214569i | ||||
\(56\) | 8.85006 | − | 2.64953i | 0.158037 | − | 0.0473131i | ||||
\(57\) | 46.3006 | − | 52.9555i | 0.812291 | − | 0.929045i | ||||
\(58\) | −3.34394 | + | 2.19935i | −0.0576542 | + | 0.0379198i | ||||
\(59\) | 1.44952 | − | 12.4014i | 0.0245682 | − | 0.210194i | −0.975378 | − | 0.220538i | \(-0.929219\pi\) |
0.999946 | + | 0.0103442i | \(0.00329271\pi\) | |||||||
\(60\) | −0.00430474 | + | 0.0547276i | −7.17457e−5 | + | 0.000912127i | ||||
\(61\) | 14.0307 | − | 7.04646i | 0.230011 | − | 0.115516i | −0.330062 | − | 0.943959i | \(-0.607070\pi\) |
0.560072 | + | 0.828444i | \(0.310773\pi\) | |||||||
\(62\) | 14.2227 | + | 2.50784i | 0.229398 | + | 0.0404490i | ||||
\(63\) | −2.89998 | + | 29.2523i | −0.0460315 | + | 0.464322i | ||||
\(64\) | −1.38919 | − | 7.87846i | −0.0217060 | − | 0.123101i | ||||
\(65\) | 0.0399715 | − | 0.0297577i | 0.000614947 | − | 0.000457811i | ||||
\(66\) | −49.9081 | − | 38.7557i | −0.756184 | − | 0.587208i | ||||
\(67\) | −53.7559 | − | 56.9780i | −0.802327 | − | 0.850417i | 0.188980 | − | 0.981981i | \(-0.439482\pi\) |
−0.991308 | + | 0.131564i | \(0.958000\pi\) | |||||||
\(68\) | 12.0917 | + | 3.62001i | 0.177819 | + | 0.0532354i | ||||
\(69\) | 1.40186 | + | 37.0105i | 0.0203169 | + | 0.536384i | ||||
\(70\) | 0.0419763 | − | 0.00490632i | 0.000599661 | − | 7.00903e-5i | ||||
\(71\) | −86.4709 | − | 103.052i | −1.21790 | − | 1.45144i | −0.854219 | − | 0.519913i | \(-0.825964\pi\) |
−0.363680 | − | 0.931524i | \(-0.618480\pi\) | |||||||
\(72\) | 24.8688 | + | 5.43516i | 0.345401 | + | 0.0754883i | ||||
\(73\) | 10.9189 | + | 9.16201i | 0.149573 | + | 0.125507i | 0.714504 | − | 0.699632i | \(-0.246653\pi\) |
−0.564930 | + | 0.825139i | \(0.691097\pi\) | |||||||
\(74\) | −6.66306 | + | 10.1307i | −0.0900413 | + | 0.136901i | ||||
\(75\) | 18.7753 | − | 72.6117i | 0.250337 | − | 0.968155i | ||||
\(76\) | −28.0037 | + | 37.6154i | −0.368469 | + | 0.494940i | ||||
\(77\) | −21.8322 | + | 43.4714i | −0.283535 | + | 0.564564i | ||||
\(78\) | −11.1448 | − | 20.2422i | −0.142881 | − | 0.259516i | ||||
\(79\) | 121.980 | + | 28.9098i | 1.54405 | + | 0.365946i | 0.912397 | − | 0.409306i | \(-0.134229\pi\) |
0.631652 | + | 0.775252i | \(0.282377\pi\) | |||||||
\(80\) | − | 0.0365978i | − | 0.000457472i | ||||||
\(81\) | −46.0612 | + | 66.6286i | −0.568657 | + | 0.822575i | ||||
\(82\) | −14.2343 | −0.173589 | ||||||||
\(83\) | −1.04492 | + | 4.40888i | −0.0125895 | + | 0.0531191i | −0.978977 | − | 0.203970i | \(-0.934615\pi\) |
0.966388 | + | 0.257089i | \(0.0827635\pi\) | |||||||
\(84\) | 0.398152 | − | 19.5931i | 0.00473991 | − | 0.233251i | ||||
\(85\) | 0.0516000 | + | 0.0259145i | 0.000607058 | + | 0.000304876i | ||||
\(86\) | 57.2373 | + | 42.6116i | 0.665550 | + | 0.495484i | ||||
\(87\) | 2.26930 | + | 8.18145i | 0.0260839 | + | 0.0940397i | ||||
\(88\) | 35.1957 | + | 23.1486i | 0.399951 | + | 0.263052i | ||||
\(89\) | −63.0599 | + | 75.1519i | −0.708539 | + | 0.844403i | −0.993464 | − | 0.114146i | \(-0.963587\pi\) |
0.284925 | + | 0.958550i | \(0.408031\pi\) | |||||||
\(90\) | 0.107722 | + | 0.0442422i | 0.00119691 | + | 0.000491580i | ||||
\(91\) | −13.6273 | + | 11.4347i | −0.149751 | + | 0.125656i | ||||
\(92\) | −2.86649 | − | 24.5244i | −0.0311575 | − | 0.266570i | ||||
\(93\) | 14.3029 | − | 27.0926i | 0.153795 | − | 0.291318i | ||||
\(94\) | −25.6369 | + | 85.6331i | −0.272733 | + | 0.910990i | ||||
\(95\) | −0.156044 | + | 0.147220i | −0.00164257 | + | 0.00154968i | ||||
\(96\) | −16.8123 | − | 2.31221i | −0.175128 | − | 0.0240856i | ||||
\(97\) | −3.82760 | − | 5.14135i | −0.0394598 | − | 0.0530036i | 0.781955 | − | 0.623334i | \(-0.214222\pi\) |
−0.821415 | + | 0.570331i | \(0.806815\pi\) | |||||||
\(98\) | 53.3861 | − | 9.41342i | 0.544756 | − | 0.0960553i | ||||
\(99\) | −110.683 | + | 75.6113i | −1.11801 | + | 0.763750i | ||||
\(100\) | −8.68238 | + | 49.2402i | −0.0868238 | + | 0.492402i | ||||
\(101\) | 54.0222 | + | 107.567i | 0.534873 | + | 1.06502i | 0.985080 | + | 0.172096i | \(0.0550539\pi\) |
−0.450207 | + | 0.892924i | \(0.648650\pi\) | |||||||
\(102\) | 15.1646 | − | 22.0668i | 0.148673 | − | 0.216341i | ||||
\(103\) | −117.007 | − | 13.6761i | −1.13599 | − | 0.132778i | −0.472756 | − | 0.881193i | \(-0.656741\pi\) |
−0.663230 | + | 0.748416i | \(0.730815\pi\) | |||||||
\(104\) | 8.46516 | + | 12.8706i | 0.0813957 | + | 0.123756i | ||||
\(105\) | 0.0173583 | − | 0.0879548i | 0.000165317 | − | 0.000837664i | ||||
\(106\) | 24.2253 | + | 80.9182i | 0.228541 | + | 0.763379i | ||||
\(107\) | −147.820 | − | 85.3438i | −1.38149 | − | 0.797606i | −0.389157 | − | 0.921171i | \(-0.627234\pi\) |
−0.992336 | + | 0.123565i | \(0.960567\pi\) | |||||||
\(108\) | 27.1298 | − | 46.6902i | 0.251202 | − | 0.432317i | ||||
\(109\) | 72.5161 | + | 125.602i | 0.665285 | + | 1.15231i | 0.979208 | + | 0.202860i | \(0.0650235\pi\) |
−0.313922 | + | 0.949449i | \(0.601643\pi\) | |||||||
\(110\) | 0.140175 | + | 0.132249i | 0.00127432 | + | 0.00120226i | ||||
\(111\) | 16.1300 | + | 20.0361i | 0.145316 | + | 0.180505i | ||||
\(112\) | 0.759647 | + | 13.0426i | 0.00678256 | + | 0.116452i | ||||
\(113\) | 19.7299 | − | 8.51065i | 0.174601 | − | 0.0753155i | −0.306985 | − | 0.951714i | \(-0.599320\pi\) |
0.481586 | + | 0.876399i | \(0.340061\pi\) | |||||||
\(114\) | 57.7713 | + | 80.9848i | 0.506766 | + | 0.710393i | ||||
\(115\) | 0.00656781 | − | 0.112765i | 5.71114e−5 | − | 0.000980565i | ||||
\(116\) | −1.93591 | − | 5.31887i | −0.0166889 | − | 0.0458524i | ||||
\(117\) | −48.1168 | + | 9.35734i | −0.411255 | + | 0.0799773i | ||||
\(118\) | 16.5928 | + | 6.03929i | 0.140617 | + | 0.0511804i | ||||
\(119\) | −18.9270 | − | 8.16430i | −0.159050 | − | 0.0686076i | ||||
\(120\) | −0.0739064 | − | 0.0237726i | −0.000615886 | − | 0.000198105i | ||||
\(121\) | −98.1061 | + | 23.2516i | −0.810794 | + | 0.192162i | ||||
\(122\) | 5.12063 | + | 21.6056i | 0.0419724 | + | 0.177095i | ||||
\(123\) | −9.24607 | + | 28.7450i | −0.0751713 | + | 0.233699i | ||||
\(124\) | −8.08961 | + | 18.7538i | −0.0652388 | + | 0.151240i | ||||
\(125\) | −0.156464 | + | 0.429882i | −0.00125172 | + | 0.00343906i | ||||
\(126\) | −39.3080 | − | 13.5310i | −0.311968 | − | 0.107389i | ||||
\(127\) | −121.393 | + | 44.1836i | −0.955853 | + | 0.347902i | −0.772407 | − | 0.635128i | \(-0.780947\pi\) |
−0.183446 | + | 0.983030i | \(0.558725\pi\) | |||||||
\(128\) | 11.2946 | + | 0.657834i | 0.0882388 | + | 0.00513933i | ||||
\(129\) | 123.230 | − | 87.9074i | 0.955273 | − | 0.681453i | ||||
\(130\) | 0.0279131 | + | 0.0647098i | 0.000214716 | + | 0.000497767i | ||||
\(131\) | −239.654 | + | 13.9583i | −1.82942 | + | 0.106552i | −0.938003 | − | 0.346627i | \(-0.887327\pi\) |
−0.891419 | + | 0.453179i | \(0.850290\pi\) | |||||||
\(132\) | 69.6085 | − | 56.0384i | 0.527337 | − | 0.424534i | ||||
\(133\) | 52.5548 | − | 55.7049i | 0.395149 | − | 0.418834i | ||||
\(134\) | 95.9389 | − | 55.3904i | 0.715962 | − | 0.413361i | ||||
\(135\) | 0.159316 | − | 0.188798i | 0.00118012 | − | 0.00139850i | ||||
\(136\) | −8.92505 | + | 15.4586i | −0.0656254 | + | 0.113666i | ||||
\(137\) | 96.8155 | − | 28.9847i | 0.706683 | − | 0.211567i | 0.0867594 | − | 0.996229i | \(-0.472349\pi\) |
0.619923 | + | 0.784662i | \(0.287164\pi\) | |||||||
\(138\) | −51.3871 | − | 10.1415i | −0.372370 | − | 0.0734892i | ||||
\(139\) | 206.959 | − | 136.119i | 1.48891 | − | 0.979273i | 0.495024 | − | 0.868879i | \(-0.335159\pi\) |
0.993888 | − | 0.110394i | \(-0.0352112\pi\) | |||||||
\(140\) | −0.00693859 | + | 0.0593634i | −4.95613e−5 | + | 0.000424024i | ||||
\(141\) | 156.277 | + | 107.396i | 1.10834 | + | 0.761673i | ||||
\(142\) | 170.011 | − | 85.3826i | 1.19726 | − | 0.601286i | ||||
\(143\) | −79.8860 | − | 14.0861i | −0.558643 | − | 0.0985039i | ||||
\(144\) | −15.5900 | + | 32.4492i | −0.108264 | + | 0.225342i | ||||
\(145\) | −0.00449644 | − | 0.0255006i | −3.10099e−5 | − | 0.000175866i | ||||
\(146\) | −16.1689 | + | 12.0373i | −0.110746 | + | 0.0824470i | ||||
\(147\) | 15.6680 | − | 113.924i | 0.106585 | − | 0.774992i | ||||
\(148\) | −11.7677 | − | 12.4730i | −0.0795113 | − | 0.0842771i | ||||
\(149\) | −90.0121 | − | 26.9478i | −0.604108 | − | 0.180858i | −0.0298800 | − | 0.999553i | \(-0.509513\pi\) |
−0.574228 | + | 0.818695i | \(0.694698\pi\) | |||||||
\(150\) | 93.7970 | + | 49.5181i | 0.625314 | + | 0.330120i | ||||
\(151\) | −202.614 | + | 23.6822i | −1.34181 | + | 0.156836i | −0.756512 | − | 0.653980i | \(-0.773098\pi\) |
−0.585302 | + | 0.810815i | \(0.699024\pi\) | |||||||
\(152\) | −42.6292 | − | 50.8035i | −0.280455 | − | 0.334234i | ||||
\(153\) | −34.7117 | − | 44.9576i | −0.226874 | − | 0.293840i | ||||
\(154\) | −52.7004 | − | 44.2209i | −0.342210 | − | 0.287148i | ||||
\(155\) | −0.0513433 | + | 0.0780638i | −0.000331247 | + | 0.000503637i | ||||
\(156\) | 31.4899 | − | 8.73442i | 0.201859 | − | 0.0559899i | ||||
\(157\) | 1.41814 | − | 1.90490i | 0.00903276 | − | 0.0121331i | −0.797584 | − | 0.603208i | \(-0.793889\pi\) |
0.806617 | + | 0.591075i | \(0.201296\pi\) | |||||||
\(158\) | −79.5651 | + | 158.427i | −0.503576 | + | 1.00270i | ||||
\(159\) | 179.144 | + | 3.64040i | 1.12669 | + | 0.0228956i | ||||
\(160\) | 0.0503619 | + | 0.0119360i | 0.000314762 | + | 7.46000e-5i | ||||
\(161\) | 40.3233i | 0.250455i | ||||||||
\(162\) | −76.6647 | − | 85.1148i | −0.473239 | − | 0.525400i | ||||
\(163\) | 219.866 | 1.34887 | 0.674437 | − | 0.738332i | \(-0.264386\pi\) | ||||
0.674437 | + | 0.738332i | \(0.264386\pi\) | |||||||
\(164\) | 4.64237 | − | 19.5877i | 0.0283071 | − | 0.119437i | ||||
\(165\) | 0.358118 | − | 0.197169i | 0.00217041 | − | 0.00119496i | ||||
\(166\) | −5.72624 | − | 2.87583i | −0.0344955 | − | 0.0173243i | ||||
\(167\) | −82.2531 | − | 61.2352i | −0.492534 | − | 0.366678i | 0.322051 | − | 0.946722i | \(-0.395628\pi\) |
−0.814585 | + | 0.580045i | \(0.803035\pi\) | |||||||
\(168\) | 26.8320 | + | 6.93798i | 0.159714 | + | 0.0412975i | ||||
\(169\) | 116.413 | + | 76.5664i | 0.688837 | + | 0.453055i | ||||
\(170\) | −0.0524895 | + | 0.0625546i | −0.000308762 | + | 0.000367968i | ||||
\(171\) | 201.069 | − | 64.0598i | 1.17584 | − | 0.374619i | ||||
\(172\) | −77.3049 | + | 64.8665i | −0.449447 | + | 0.377131i | ||||
\(173\) | −9.86366 | − | 84.3890i | −0.0570154 | − | 0.487798i | −0.991335 | − | 0.131361i | \(-0.958065\pi\) |
0.934319 | − | 0.356437i | \(-0.116009\pi\) | |||||||
\(174\) | −11.9985 | + | 0.454474i | −0.0689572 | + | 0.00261192i | ||||
\(175\) | 23.4187 | − | 78.2240i | 0.133821 | − | 0.446994i | ||||
\(176\) | −43.3333 | + | 40.8828i | −0.246212 | + | 0.232289i | ||||
\(177\) | 22.9740 | − | 29.5850i | 0.129796 | − | 0.167147i | ||||
\(178\) | −82.8496 | − | 111.286i | −0.465447 | − | 0.625204i | ||||
\(179\) | −52.2650 | + | 9.21572i | −0.291983 | + | 0.0514845i | −0.317721 | − | 0.948184i | \(-0.602918\pi\) |
0.0257380 | + | 0.999669i | \(0.491806\pi\) | |||||||
\(180\) | −0.0960138 | + | 0.133806i | −0.000533410 | + | 0.000743369i | ||||
\(181\) | −50.5862 | + | 286.889i | −0.279482 | + | 1.58502i | 0.444874 | + | 0.895593i | \(0.353249\pi\) |
−0.724356 | + | 0.689427i | \(0.757863\pi\) | |||||||
\(182\) | −11.2908 | − | 22.4817i | −0.0620371 | − | 0.123526i | ||||
\(183\) | 46.9571 | + | 3.69353i | 0.256596 | + | 0.0201832i | ||||
\(184\) | 34.6828 | + | 4.05383i | 0.188493 | + | 0.0220317i | ||||
\(185\) | −0.0431075 | − | 0.0655418i | −0.000233014 | − | 0.000354280i | ||||
\(186\) | 32.6172 | + | 28.5181i | 0.175361 | + | 0.153323i | ||||
\(187\) | −26.9578 | − | 90.0452i | −0.144159 | − | 0.481525i | ||||
\(188\) | −109.478 | − | 63.2071i | −0.582329 | − | 0.336208i | ||||
\(189\) | −52.8579 | + | 70.5903i | −0.279671 | + | 0.373494i | ||||
\(190\) | −0.151696 | − | 0.262746i | −0.000798401 | − | 0.00138287i | ||||
\(191\) | −127.814 | − | 120.586i | −0.669182 | − | 0.631341i | 0.274736 | − | 0.961520i | \(-0.411410\pi\) |
−0.943918 | + | 0.330179i | \(0.892891\pi\) | |||||||
\(192\) | 8.66499 | − | 22.3812i | 0.0451301 | − | 0.116569i | ||||
\(193\) | 8.42078 | + | 144.579i | 0.0436310 | + | 0.749115i | 0.947194 | + | 0.320660i | \(0.103905\pi\) |
−0.903563 | + | 0.428455i | \(0.859058\pi\) | |||||||
\(194\) | 8.32331 | − | 3.59033i | 0.0429037 | − | 0.0185068i | ||||
\(195\) | 0.148808 | − | 0.0143351i | 0.000763116 | − | 7.35135e-5i | ||||
\(196\) | −4.45762 | + | 76.5344i | −0.0227430 | + | 0.390482i | ||||
\(197\) | 65.4875 | + | 179.925i | 0.332424 | + | 0.913327i | 0.987480 | + | 0.157747i | \(0.0504229\pi\) |
−0.655056 | + | 0.755581i | \(0.727355\pi\) | |||||||
\(198\) | −67.9501 | − | 176.970i | −0.343182 | − | 0.893786i | ||||
\(199\) | 210.670 | + | 76.6775i | 1.05864 | + | 0.385314i | 0.811918 | − | 0.583772i | \(-0.198424\pi\) |
0.246724 | + | 0.969086i | \(0.420646\pi\) | |||||||
\(200\) | −64.9275 | − | 28.0070i | −0.324637 | − | 0.140035i | ||||
\(201\) | −49.5381 | − | 229.721i | −0.246458 | − | 1.14289i | ||||
\(202\) | −165.641 | + | 39.2577i | −0.820005 | + | 0.194345i | ||||
\(203\) | 2.13174 | + | 8.99450i | 0.0105012 | + | 0.0443079i | ||||
\(204\) | 25.4201 | + | 28.0648i | 0.124608 | + | 0.137573i | ||||
\(205\) | 0.0364752 | − | 0.0845590i | 0.000177928 | − | 0.000412483i | ||||
\(206\) | 56.9801 | − | 156.552i | 0.276603 | − | 0.759959i | ||||
\(207\) | −53.8592 | + | 97.1847i | −0.260189 | + | 0.469491i | ||||
\(208\) | −20.4720 | + | 7.45121i | −0.0984232 | + | 0.0358231i | ||||
\(209\) | 348.629 | + | 20.3053i | 1.66808 | + | 0.0971547i | ||||
\(210\) | 0.115373 | + | 0.0525723i | 0.000549394 | + | 0.000250344i | ||||
\(211\) | −85.7532 | − | 198.798i | −0.406413 | − | 0.942172i | −0.991368 | − | 0.131106i | \(-0.958147\pi\) |
0.584955 | − | 0.811066i | \(-0.301112\pi\) | |||||||
\(212\) | −119.252 | + | 6.94563i | −0.562508 | + | 0.0327624i | ||||
\(213\) | −61.9907 | − | 398.785i | −0.291036 | − | 1.87223i | ||||
\(214\) | 165.651 | − | 175.580i | 0.774070 | − | 0.820467i | ||||
\(215\) | −0.399805 | + | 0.230828i | −0.00185956 | + | 0.00107362i | ||||
\(216\) | 55.4020 | + | 52.5606i | 0.256491 | + | 0.243336i | ||||
\(217\) | 16.6773 | − | 28.8859i | 0.0768538 | − | 0.133115i | ||||
\(218\) | −196.490 | + | 58.8252i | −0.901330 | + | 0.269840i | ||||
\(219\) | 13.8056 | + | 40.4707i | 0.0630393 | + | 0.184798i | ||||
\(220\) | −0.227703 | + | 0.149763i | −0.00103501 | + | 0.000680739i | ||||
\(221\) | 3.99040 | − | 34.1401i | 0.0180561 | − | 0.154480i | ||||
\(222\) | −32.8321 | + | 15.6619i | −0.147892 | + | 0.0705491i | ||||
\(223\) | 71.4158 | − | 35.8664i | 0.320250 | − | 0.160836i | −0.281410 | − | 0.959588i | \(-0.590802\pi\) |
0.601661 | + | 0.798752i | \(0.294506\pi\) | |||||||
\(224\) | −18.1956 | − | 3.20838i | −0.0812305 | − | 0.0143231i | ||||
\(225\) | 160.925 | − | 157.251i | 0.715223 | − | 0.698892i | ||||
\(226\) | 5.27674 | + | 29.9259i | 0.0233484 | + | 0.132415i | ||||
\(227\) | 93.5569 | − | 69.6506i | 0.412145 | − | 0.306831i | −0.371043 | − | 0.928616i | \(-0.621000\pi\) |
0.783188 | + | 0.621785i | \(0.213592\pi\) | |||||||
\(228\) | −130.284 | + | 53.0863i | −0.571422 | + | 0.232835i | ||||
\(229\) | −48.3060 | − | 51.2014i | −0.210943 | − | 0.223587i | 0.613260 | − | 0.789881i | \(-0.289858\pi\) |
−0.824203 | + | 0.566294i | \(0.808376\pi\) | |||||||
\(230\) | 0.153033 | + | 0.0458151i | 0.000665361 | + | 0.000199196i | ||||
\(231\) | −123.533 | + | 77.7000i | −0.534774 | + | 0.336364i | ||||
\(232\) | 7.95064 | − | 0.929297i | 0.0342700 | − | 0.00400559i | ||||
\(233\) | −157.960 | − | 188.249i | −0.677939 | − | 0.807936i | 0.311902 | − | 0.950114i | \(-0.399034\pi\) |
−0.989841 | + | 0.142178i | \(0.954589\pi\) | |||||||
\(234\) | 2.81625 | − | 69.2650i | 0.0120352 | − | 0.296004i | ||||
\(235\) | −0.443011 | − | 0.371730i | −0.00188515 | − | 0.00158183i | ||||
\(236\) | −13.7222 | + | 20.8636i | −0.0581449 | + | 0.0884050i | ||||
\(237\) | 268.249 | + | 263.584i | 1.13185 | + | 1.11217i | ||||
\(238\) | 17.4077 | − | 23.3826i | 0.0731415 | − | 0.0982461i | ||||
\(239\) | −50.9717 | + | 101.493i | −0.213271 | + | 0.424657i | −0.974677 | − | 0.223618i | \(-0.928213\pi\) |
0.761406 | + | 0.648275i | \(0.224509\pi\) | |||||||
\(240\) | 0.0568171 | − | 0.0939488i | 0.000236738 | − | 0.000391454i | ||||
\(241\) | −278.233 | − | 65.9425i | −1.15450 | − | 0.273621i | −0.391596 | − | 0.920137i | \(-0.628077\pi\) |
−0.762900 | + | 0.646517i | \(0.776225\pi\) | |||||||
\(242\) | − | 142.586i | − | 0.589200i | ||||||
\(243\) | −221.681 | + | 99.5310i | −0.912269 | + | 0.409592i | ||||
\(244\) | −31.4014 | −0.128694 | ||||||||
\(245\) | −0.0808809 | + | 0.341263i | −0.000330126 | + | 0.00139291i | ||||
\(246\) | −36.5403 | − | 22.0983i | −0.148538 | − | 0.0898307i | ||||
\(247\) | 114.122 | + | 57.3142i | 0.462032 | + | 0.232041i | ||||
\(248\) | −23.1687 | − | 17.2484i | −0.0934220 | − | 0.0695501i | ||||
\(249\) | −9.52707 | + | 9.69567i | −0.0382613 | + | 0.0389384i | ||||
\(250\) | −0.540529 | − | 0.355512i | −0.00216212 | − | 0.00142205i | ||||
\(251\) | 88.5221 | − | 105.496i | 0.352678 | − | 0.420305i | −0.560316 | − | 0.828279i | \(-0.689320\pi\) |
0.912993 | + | 0.407974i | \(0.133765\pi\) | |||||||
\(252\) | 31.4398 | − | 49.6785i | 0.124761 | − | 0.197137i | ||||
\(253\) | −140.855 | + | 118.192i | −0.556740 | + | 0.467161i | ||||
\(254\) | −21.2095 | − | 181.459i | −0.0835019 | − | 0.714404i | ||||
\(255\) | 0.0922288 | + | 0.146632i | 0.000361682 | + | 0.000575027i | ||||
\(256\) | −4.58885 | + | 15.3278i | −0.0179252 | + | 0.0598743i | ||||
\(257\) | −121.427 | + | 114.560i | −0.472478 | + | 0.445760i | −0.885278 | − | 0.465061i | \(-0.846032\pi\) |
0.412800 | + | 0.910822i | \(0.364551\pi\) | |||||||
\(258\) | 80.7784 | + | 198.246i | 0.313095 | + | 0.768397i | ||||
\(259\) | 16.7230 | + | 22.4629i | 0.0645675 | + | 0.0867292i | ||||
\(260\) | −0.0981502 | + | 0.0173065i | −0.000377501 | + | 6.65636e-5i | ||||
\(261\) | −6.87605 | + | 24.5253i | −0.0263450 | + | 0.0939668i | ||||
\(262\) | 58.9530 | − | 334.339i | 0.225011 | − | 1.27610i | ||||
\(263\) | 174.889 | + | 348.233i | 0.664978 | + | 1.32408i | 0.932724 | + | 0.360591i | \(0.117425\pi\) |
−0.267746 | + | 0.963490i | \(0.586279\pi\) | |||||||
\(264\) | 54.4120 | + | 114.064i | 0.206106 | + | 0.432062i | ||||
\(265\) | −0.542773 | − | 0.0634411i | −0.00204820 | − | 0.000239400i | ||||
\(266\) | 59.5149 | + | 90.4880i | 0.223740 | + | 0.340180i | ||||
\(267\) | −278.550 | + | 95.0208i | −1.04326 | + | 0.355883i | ||||
\(268\) | 44.9328 | + | 150.086i | 0.167660 | + | 0.560022i | ||||
\(269\) | 412.164 | + | 237.963i | 1.53221 | + | 0.884620i | 0.999260 | + | 0.0384712i | \(0.0122488\pi\) |
0.532947 | + | 0.846149i | \(0.321085\pi\) | |||||||
\(270\) | 0.207844 | + | 0.280808i | 0.000769794 | + | 0.00104003i | ||||
\(271\) | 120.932 | + | 209.460i | 0.446243 | + | 0.772915i | 0.998138 | − | 0.0609985i | \(-0.0194285\pi\) |
−0.551895 | + | 0.833913i | \(0.686095\pi\) | |||||||
\(272\) | −18.3617 | − | 17.3234i | −0.0675063 | − | 0.0636889i | ||||
\(273\) | −52.7342 | + | 8.19747i | −0.193166 | + | 0.0300274i | ||||
\(274\) | 8.31018 | + | 142.680i | 0.0303291 | + | 0.520731i | ||||
\(275\) | 341.891 | − | 147.477i | 1.24324 | − | 0.536281i | ||||
\(276\) | 30.7151 | − | 67.4059i | 0.111286 | − | 0.244224i | ||||
\(277\) | −12.0942 | + | 207.650i | −0.0436615 | + | 0.749639i | 0.903442 | + | 0.428710i | \(0.141032\pi\) |
−0.947103 | + | 0.320928i | \(0.896005\pi\) | |||||||
\(278\) | 119.815 | + | 329.188i | 0.430988 | + | 1.18413i | ||||
\(279\) | 78.7771 | − | 47.3435i | 0.282355 | − | 0.169690i | ||||
\(280\) | −0.0794266 | − | 0.0289089i | −0.000283666 | − | 0.000103246i | ||||
\(281\) | 138.978 | + | 59.9492i | 0.494583 | + | 0.213342i | 0.628737 | − | 0.777618i | \(-0.283572\pi\) |
−0.134154 | + | 0.990961i | \(0.542832\pi\) | |||||||
\(282\) | −198.755 | + | 180.025i | −0.704804 | + | 0.638387i | ||||
\(283\) | 78.1517 | − | 18.5223i | 0.276154 | − | 0.0654498i | −0.0902050 | − | 0.995923i | \(-0.528752\pi\) |
0.366359 | + | 0.930473i | \(0.380604\pi\) | |||||||
\(284\) | 62.0471 | + | 261.797i | 0.218476 | + | 0.921822i | ||||
\(285\) | −0.629131 | + | 0.135669i | −0.00220748 | + | 0.000476030i | ||||
\(286\) | 45.4378 | − | 105.337i | 0.158873 | − | 0.368310i | ||||
\(287\) | −11.2438 | + | 30.8920i | −0.0391769 | + | 0.107638i | ||||
\(288\) | −39.5686 | − | 32.0363i | −0.137391 | − | 0.111237i | ||||
\(289\) | −234.145 | + | 85.2218i | −0.810190 | + | 0.294885i | ||||
\(290\) | 0.0365576 | + | 0.00212924i | 0.000126061 | + | 7.34221e-6i | ||||
\(291\) | −1.84386 | − | 19.1404i | −0.00633629 | − | 0.0657747i | ||||
\(292\) | −11.2911 | − | 26.1757i | −0.0386681 | − | 0.0896427i | ||||
\(293\) | −113.665 | + | 6.62024i | −0.387936 | + | 0.0225947i | −0.251005 | − | 0.967986i | \(-0.580761\pi\) |
−0.136931 | + | 0.990581i | \(0.543724\pi\) | |||||||
\(294\) | 151.660 | + | 58.7158i | 0.515849 | + | 0.199714i | ||||
\(295\) | −0.0783954 | + | 0.0830943i | −0.000265747 | + | 0.000281676i | ||||
\(296\) | 21.0019 | − | 12.1255i | 0.0709525 | − | 0.0409644i | ||||
\(297\) | −401.514 | + | 22.2668i | −1.35190 | + | 0.0749725i | ||||
\(298\) | 66.4393 | − | 115.076i | 0.222951 | − | 0.386162i | ||||
\(299\) | −64.4156 | + | 19.2848i | −0.215437 | + | 0.0644975i | ||||
\(300\) | −98.7325 | + | 112.924i | −0.329108 | + | 0.376412i | ||||
\(301\) | 137.691 | − | 90.5605i | 0.457444 | − | 0.300865i | ||||
\(302\) | 33.4917 | − | 286.539i | 0.110900 | − | 0.948806i | ||||
\(303\) | −28.3167 | + | 360.000i | −0.0934544 | + | 1.18812i | ||||
\(304\) | 83.8135 | − | 42.0927i | 0.275702 | − | 0.138463i | ||||
\(305\) | −0.141470 | − | 0.0249450i | −0.000463837 | − | 8.17870e-5i | ||||
\(306\) | 73.1867 | − | 33.1041i | 0.239172 | − | 0.108183i | ||||
\(307\) | 61.1465 | + | 346.779i | 0.199174 | + | 1.12957i | 0.906347 | + | 0.422533i | \(0.138859\pi\) |
−0.707173 | + | 0.707041i | \(0.750030\pi\) | |||||||
\(308\) | 78.0397 | − | 58.0984i | 0.253376 | − | 0.188631i | ||||
\(309\) | −279.132 | − | 216.757i | −0.903338 | − | 0.701480i | ||||
\(310\) | −0.0906779 | − | 0.0961130i | −0.000292509 | − | 0.000310042i | ||||
\(311\) | 277.727 | + | 83.1461i | 0.893014 | + | 0.267351i | 0.700253 | − | 0.713895i | \(-0.253071\pi\) |
0.192761 | + | 0.981246i | \(0.438256\pi\) | |||||||
\(312\) | 1.74925 | + | 46.1817i | 0.00560656 | + | 0.148018i | ||||
\(313\) | −601.329 | + | 70.2853i | −1.92118 | + | 0.224554i | −0.990111 | − | 0.140290i | \(-0.955197\pi\) |
−0.931069 | + | 0.364843i | \(0.881123\pi\) | |||||||
\(314\) | 2.15880 | + | 2.57276i | 0.00687517 | + | 0.00819350i | ||||
\(315\) | 0.181108 | − | 0.198837i | 0.000574945 | − | 0.000631229i | ||||
\(316\) | −192.061 | − | 161.158i | −0.607788 | − | 0.509995i | ||||
\(317\) | 320.908 | − | 487.917i | 1.01233 | − | 1.53917i | 0.180929 | − | 0.983496i | \(-0.442090\pi\) |
0.831400 | − | 0.555675i | \(-0.187540\pi\) | |||||||
\(318\) | −63.4355 | + | 245.331i | −0.199483 | + | 0.771482i | ||||
\(319\) | −25.1708 | + | 33.8103i | −0.0789054 | + | 0.105988i | ||||
\(320\) | −0.0328501 | + | 0.0654099i | −0.000102657 | + | 0.000204406i | ||||
\(321\) | −246.969 | − | 448.570i | −0.769374 | − | 1.39741i | ||||
\(322\) | −55.4886 | − | 13.1510i | −0.172325 | − | 0.0408417i | ||||
\(323\) | 147.976i | 0.458129i | ||||||||
\(324\) | 142.129 | − | 77.7385i | 0.438671 | − | 0.239934i | ||||
\(325\) | 136.161 | 0.418958 | ||||||||
\(326\) | −71.7073 | + | 302.557i | −0.219961 | + | 0.928088i | ||||
\(327\) | −8.83982 | + | 435.007i | −0.0270331 | + | 1.33030i | ||||
\(328\) | 25.4404 | + | 12.7767i | 0.0775622 | + | 0.0389532i | ||||
\(329\) | 165.595 | + | 123.281i | 0.503329 | + | 0.374714i | ||||
\(330\) | 0.154526 | + | 0.557109i | 0.000468262 | + | 0.00168821i | ||||
\(331\) | −148.765 | − | 97.8442i | −0.449441 | − | 0.295602i | 0.304539 | − | 0.952500i | \(-0.401498\pi\) |
−0.753979 | + | 0.656898i | \(0.771868\pi\) | |||||||
\(332\) | 5.82497 | − | 6.94192i | 0.0175451 | − | 0.0209094i | ||||
\(333\) | 10.3014 | + | 76.4753i | 0.0309351 | + | 0.229656i | ||||
\(334\) | 111.091 | − | 93.2167i | 0.332609 | − | 0.279092i | ||||
\(335\) | 0.0832050 | + | 0.711865i | 0.000248373 | + | 0.00212497i | ||||
\(336\) | −18.2983 | + | 34.6606i | −0.0544592 | + | 0.103157i | ||||
\(337\) | −28.0090 | + | 93.5567i | −0.0831129 | + | 0.277616i | −0.989436 | − | 0.144968i | \(-0.953692\pi\) |
0.906323 | + | 0.422585i | \(0.138877\pi\) | |||||||
\(338\) | −143.330 | + | 135.224i | −0.424052 | + | 0.400072i | ||||
\(339\) | 63.8605 | + | 8.78280i | 0.188379 | + | 0.0259080i | ||||
\(340\) | −0.0689620 | − | 0.0926321i | −0.000202829 | − | 0.000272447i | ||||
\(341\) | 149.786 | − | 26.4113i | 0.439254 | − | 0.0774524i | ||||
\(342\) | 22.5757 | + | 297.582i | 0.0660107 | + | 0.870122i | ||||
\(343\) | 49.5318 | − | 280.909i | 0.144408 | − | 0.818977i | ||||
\(344\) | −64.0502 | − | 127.534i | −0.186192 | − | 0.370740i | ||||
\(345\) | 0.191925 | − | 0.279279i | 0.000556304 | − | 0.000809503i | ||||
\(346\) | 119.344 | + | 13.9493i | 0.344925 | + | 0.0403160i | ||||
\(347\) | −361.005 | − | 548.881i | −1.04036 | − | 1.58179i | −0.789485 | − | 0.613770i | \(-0.789652\pi\) |
−0.250874 | − | 0.968020i | \(-0.580718\pi\) | |||||||
\(348\) | 3.28781 | − | 16.6593i | 0.00944773 | − | 0.0478717i | ||||
\(349\) | −100.748 | − | 336.520i | −0.288675 | − | 0.964241i | −0.972168 | − | 0.234285i | \(-0.924725\pi\) |
0.683493 | − | 0.729957i | \(-0.260460\pi\) | |||||||
\(350\) | 100.006 | + | 57.7383i | 0.285731 | + | 0.164967i | ||||
\(351\) | −138.046 | − | 50.6793i | −0.393293 | − | 0.144385i | ||||
\(352\) | −42.1259 | − | 72.9642i | −0.119676 | − | 0.207285i | ||||
\(353\) | 32.0293 | + | 30.2181i | 0.0907346 | + | 0.0856037i | 0.730273 | − | 0.683156i | \(-0.239393\pi\) |
−0.639538 | + | 0.768759i | \(0.720874\pi\) | |||||||
\(354\) | 33.2189 | + | 41.2631i | 0.0938388 | + | 0.116563i | ||||
\(355\) | 0.0715662 | + | 1.22874i | 0.000201595 | + | 0.00346125i | ||||
\(356\) | 180.161 | − | 77.7139i | 0.506070 | − | 0.218297i | ||||
\(357\) | −35.9119 | − | 50.3419i | −0.100594 | − | 0.141014i | ||||
\(358\) | 4.36401 | − | 74.9271i | 0.0121900 | − | 0.209294i | ||||
\(359\) | 196.063 | + | 538.679i | 0.546137 | + | 1.50050i | 0.838885 | + | 0.544309i | \(0.183208\pi\) |
−0.292747 | + | 0.956190i | \(0.594570\pi\) | |||||||
\(360\) | −0.152816 | − | 0.175764i | −0.000424489 | − | 0.000488232i | ||||
\(361\) | −177.397 | − | 64.5671i | −0.491403 | − | 0.178856i | ||||
\(362\) | −378.287 | − | 163.177i | −1.04499 | − | 0.450766i | ||||
\(363\) | −287.942 | − | 92.6190i | −0.793229 | − | 0.255149i | ||||
\(364\) | 34.6193 | − | 8.20493i | 0.0951080 | − | 0.0225410i | ||||
\(365\) | −0.0300751 | − | 0.126897i | −8.23975e−5 | − | 0.000347662i | ||||
\(366\) | −20.3972 | + | 63.4127i | −0.0557301 | + | 0.173259i | ||||
\(367\) | −37.5215 | + | 86.9845i | −0.102238 | + | 0.237015i | −0.961656 | − | 0.274260i | \(-0.911567\pi\) |
0.859417 | + | 0.511275i | \(0.170826\pi\) | |||||||
\(368\) | −16.8899 | + | 46.4046i | −0.0458964 | + | 0.126099i | ||||
\(369\) | −68.3611 | + | 59.4360i | −0.185261 | + | 0.161073i | ||||
\(370\) | 0.104251 | − | 0.0379442i | 0.000281759 | − | 0.000102552i | ||||
\(371\) | 194.749 | + | 11.3428i | 0.524930 | + | 0.0305737i | ||||
\(372\) | −49.8814 | + | 35.5833i | −0.134090 | + | 0.0956541i | ||||
\(373\) | −189.794 | − | 439.993i | −0.508832 | − | 1.17961i | −0.958158 | − | 0.286238i | \(-0.907595\pi\) |
0.449326 | − | 0.893368i | \(-0.351664\pi\) | |||||||
\(374\) | 132.703 | − | 7.72904i | 0.354820 | − | 0.0206659i | ||||
\(375\) | −1.06904 | + | 0.860629i | −0.00285076 | + | 0.00229501i | ||||
\(376\) | 122.684 | − | 130.037i | 0.326287 | − | 0.345844i | ||||
\(377\) | −13.3490 | + | 7.70706i | −0.0354086 | + | 0.0204431i | ||||
\(378\) | −79.8997 | − | 95.7597i | −0.211375 | − | 0.253332i | ||||
\(379\) | 340.550 | − | 589.849i | 0.898548 | − | 1.55633i | 0.0691963 | − | 0.997603i | \(-0.477957\pi\) |
0.829351 | − | 0.558727i | \(-0.188710\pi\) | |||||||
\(380\) | 0.411037 | − | 0.123056i | 0.00108168 | − | 0.000323832i | ||||
\(381\) | −380.219 | − | 75.0381i | −0.997949 | − | 0.196950i | ||||
\(382\) | 207.623 | − | 136.556i | 0.543516 | − | 0.357476i | ||||
\(383\) | 30.3096 | − | 259.315i | 0.0791374 | − | 0.677064i | −0.894197 | − | 0.447673i | \(-0.852253\pi\) |
0.973335 | − | 0.229390i | \(-0.0736732\pi\) | |||||||
\(384\) | 27.9726 | + | 19.2232i | 0.0728453 | + | 0.0500605i | ||||
\(385\) | 0.397739 | − | 0.199752i | 0.00103309 | − | 0.000518837i | ||||
\(386\) | −201.701 | − | 35.5653i | −0.522541 | − | 0.0921380i | ||||
\(387\) | 452.814 | − | 34.3521i | 1.17006 | − | 0.0887652i | ||||
\(388\) | 2.22606 | + | 12.6246i | 0.00573726 | + | 0.0325376i | ||||
\(389\) | −202.464 | + | 150.729i | −0.520473 | + | 0.387478i | −0.825094 | − | 0.564996i | \(-0.808878\pi\) |
0.304621 | + | 0.952474i | \(0.401470\pi\) | |||||||
\(390\) | −0.0288057 | + | 0.209448i | −7.38607e−5 | + | 0.000537047i | ||||
\(391\) | −53.4672 | − | 56.6720i | −0.136745 | − | 0.144941i | ||||
\(392\) | −103.865 | − | 31.0950i | −0.264961 | − | 0.0793241i | ||||
\(393\) | −636.878 | − | 336.226i | −1.62055 | − | 0.855536i | ||||
\(394\) | −268.952 | + | 31.4360i | −0.682620 | + | 0.0797868i | ||||
\(395\) | −0.737255 | − | 0.878626i | −0.00186647 | − | 0.00222437i | ||||
\(396\) | 265.688 | − | 35.7888i | 0.670929 | − | 0.0903757i | ||||
\(397\) | −481.757 | − | 404.242i | −1.21349 | − | 1.01824i | −0.999139 | − | 0.0414871i | \(-0.986790\pi\) |
−0.214356 | − | 0.976756i | \(-0.568765\pi\) | |||||||
\(398\) | −174.223 | + | 264.894i | −0.437747 | + | 0.665562i | ||||
\(399\) | 221.392 | − | 61.4079i | 0.554867 | − | 0.153905i | ||||
\(400\) | 59.7157 | − | 80.2121i | 0.149289 | − | 0.200530i | ||||
\(401\) | 59.0773 | − | 117.632i | 0.147325 | − | 0.293348i | −0.807851 | − | 0.589387i | \(-0.799369\pi\) |
0.955176 | + | 0.296039i | \(0.0956658\pi\) | |||||||
\(402\) | 332.274 | + | 6.75217i | 0.826551 | + | 0.0167964i | ||||
\(403\) | 54.1206 | + | 12.8268i | 0.134294 | + | 0.0318283i | ||||
\(404\) | − | 240.741i | − | 0.595894i | ||||||
\(405\) | 0.702079 | − | 0.237323i | 0.00173353 | − | 0.000585982i | ||||
\(406\) | −13.0725 | −0.0321983 | ||||||||
\(407\) | −29.4494 | + | 124.257i | −0.0723573 | + | 0.305300i | ||||
\(408\) | −46.9103 | + | 25.8274i | −0.114976 | + | 0.0633025i | ||||
\(409\) | 434.636 | + | 218.282i | 1.06268 | + | 0.533697i | 0.892189 | − | 0.451662i | \(-0.149169\pi\) |
0.170490 | + | 0.985359i | \(0.445465\pi\) | |||||||
\(410\) | 0.104465 | + | 0.0777713i | 0.000254793 | + | 0.000189686i | ||||
\(411\) | 293.530 | + | 75.8982i | 0.714184 | + | 0.184667i | ||||
\(412\) | 196.846 | + | 129.468i | 0.477782 | + | 0.314242i | ||||
\(413\) | 26.2136 | − | 31.2402i | 0.0634712 | − | 0.0756421i | ||||
\(414\) | −116.170 | − | 105.811i | −0.280603 | − | 0.255582i | ||||
\(415\) | 0.0317574 | − | 0.0266476i | 7.65238e−5 | − | 6.42111e-5i | ||||
\(416\) | −3.57681 | − | 30.6016i | −0.00859810 | − | 0.0735615i | ||||
\(417\) | 742.598 | − | 28.1277i | 1.78081 | − | 0.0674525i | ||||
\(418\) | −141.644 | + | 473.124i | −0.338861 | + | 1.13188i | ||||
\(419\) | 370.919 | − | 349.944i | 0.885247 | − | 0.835188i | −0.101934 | − | 0.994791i | \(-0.532503\pi\) |
0.987181 | + | 0.159604i | \(0.0510216\pi\) | |||||||
\(420\) | −0.109972 | + | 0.141618i | −0.000261838 | + | 0.000337185i | ||||
\(421\) | 298.629 | + | 401.128i | 0.709331 | + | 0.952797i | 0.999992 | − | 0.00402887i | \(-0.00128243\pi\) |
−0.290661 | + | 0.956826i | \(0.593875\pi\) | |||||||
\(422\) | 301.533 | − | 53.1683i | 0.714532 | − | 0.125991i | ||||
\(423\) | 234.443 | + | 518.308i | 0.554238 | + | 1.22531i | ||||
\(424\) | 29.3350 | − | 166.367i | 0.0691862 | − | 0.392375i | ||||
\(425\) | 70.8086 | + | 140.992i | 0.166609 | + | 0.331745i | ||||
\(426\) | 568.983 | + | 44.7548i | 1.33564 | + | 0.105058i | ||||
\(427\) | 50.9346 | + | 5.95340i | 0.119285 | + | 0.0139424i | ||||
\(428\) | 187.589 | + | 285.215i | 0.438292 | + | 0.666390i | ||||
\(429\) | −183.204 | − | 160.181i | −0.427050 | − | 0.373382i | ||||
\(430\) | −0.187248 | − | 0.625452i | −0.000435460 | − | 0.00145454i | ||||
\(431\) | 108.278 | + | 62.5144i | 0.251225 | + | 0.145045i | 0.620325 | − | 0.784345i | \(-0.287001\pi\) |
−0.369100 | + | 0.929390i | \(0.620334\pi\) | |||||||
\(432\) | −90.3972 | + | 59.0961i | −0.209253 | + | 0.136797i | ||||
\(433\) | −209.622 | − | 363.075i | −0.484115 | − | 0.838511i | 0.515719 | − | 0.856758i | \(-0.327525\pi\) |
−0.999834 | + | 0.0182465i | \(0.994192\pi\) | |||||||
\(434\) | 34.3106 | + | 32.3703i | 0.0790566 | + | 0.0745861i | ||||
\(435\) | 0.0280464 | − | 0.0724422i | 6.44744e−5 | − | 0.000166534i | ||||
\(436\) | −16.8657 | − | 289.574i | −0.0386829 | − | 0.664160i | ||||
\(437\) | 265.800 | − | 114.655i | 0.608238 | − | 0.262368i | ||||
\(438\) | −60.1940 | + | 5.79869i | −0.137429 | + | 0.0132390i | ||||
\(439\) | −30.4417 | + | 522.664i | −0.0693434 | + | 1.19058i | 0.766733 | + | 0.641966i | \(0.221881\pi\) |
−0.836076 | + | 0.548613i | \(0.815156\pi\) | |||||||
\(440\) | −0.131824 | − | 0.362184i | −0.000299601 | − | 0.000823146i | ||||
\(441\) | 217.085 | − | 268.125i | 0.492256 | − | 0.607994i | ||||
\(442\) | 45.6785 | + | 16.6256i | 0.103345 | + | 0.0376145i | ||||
\(443\) | −763.003 | − | 329.127i | −1.72235 | − | 0.742951i | −0.998600 | − | 0.0528928i | \(-0.983156\pi\) |
−0.723754 | − | 0.690058i | \(-0.757585\pi\) | |||||||
\(444\) | −10.8443 | − | 50.2880i | −0.0244242 | − | 0.113261i | ||||
\(445\) | 0.873401 | − | 0.207000i | 0.00196270 | − | 0.000465168i | ||||
\(446\) | 26.0639 | + | 109.972i | 0.0584393 | + | 0.246575i | ||||
\(447\) | −189.231 | − | 208.918i | −0.423335 | − | 0.467379i | ||||
\(448\) | 10.3494 | − | 23.9925i | 0.0231012 | − | 0.0535547i | ||||
\(449\) | −63.2702 | + | 173.833i | −0.140914 | + | 0.387157i | −0.989994 | − | 0.141106i | \(-0.954934\pi\) |
0.849081 | + | 0.528263i | \(0.177156\pi\) | |||||||
\(450\) | 163.907 | + | 272.734i | 0.364239 | + | 0.606075i | ||||
\(451\) | −140.867 | + | 51.2715i | −0.312344 | + | 0.113684i | ||||
\(452\) | −42.9017 | − | 2.49874i | −0.0949153 | − | 0.00552819i | ||||
\(453\) | −556.889 | − | 253.760i | −1.22934 | − | 0.560176i | ||||
\(454\) | 65.3330 | + | 151.459i | 0.143905 | + | 0.333610i | ||||
\(455\) | 0.162486 | − | 0.00946371i | 0.000357111 | − | 2.07994e-5i | ||||
\(456\) | −30.5608 | − | 196.597i | −0.0670192 | − | 0.431133i | ||||
\(457\) | 44.8735 | − | 47.5632i | 0.0981915 | − | 0.104077i | −0.676414 | − | 0.736522i | \(-0.736467\pi\) |
0.774606 | + | 0.632445i | \(0.217948\pi\) | |||||||
\(458\) | 86.2125 | − | 49.7748i | 0.188237 | − | 0.108679i | ||||
\(459\) | −19.3117 | − | 169.298i | −0.0420733 | − | 0.368841i | ||||
\(460\) | −0.112956 | + | 0.195646i | −0.000245557 | + | 0.000425317i | ||||
\(461\) | −707.273 | + | 211.744i | −1.53422 | + | 0.459314i | −0.938903 | − | 0.344181i | \(-0.888157\pi\) |
−0.595312 | + | 0.803495i | \(0.702972\pi\) | |||||||
\(462\) | −66.6335 | − | 195.334i | −0.144228 | − | 0.422800i | ||||
\(463\) | 309.468 | − | 203.540i | 0.668397 | − | 0.439611i | −0.169434 | − | 0.985542i | \(-0.554194\pi\) |
0.837831 | + | 0.545930i | \(0.183824\pi\) | |||||||
\(464\) | −1.31422 | + | 11.2439i | −0.00283238 | + | 0.0242326i | ||||
\(465\) | −0.252994 | + | 0.120685i | −0.000544073 | + | 0.000259539i | ||||
\(466\) | 310.565 | − | 155.972i | 0.666449 | − | 0.334703i | ||||
\(467\) | −733.482 | − | 129.333i | −1.57063 | − | 0.276944i | −0.680531 | − | 0.732719i | \(-0.738251\pi\) |
−0.890095 | + | 0.455775i | \(0.849362\pi\) | |||||||
\(468\) | 94.3967 | + | 26.4655i | 0.201702 | + | 0.0565503i | ||||
\(469\) | −44.4283 | − | 251.966i | −0.0947299 | − | 0.537240i | ||||
\(470\) | 0.656019 | − | 0.488388i | 0.00139579 | − | 0.00103912i | ||||
\(471\) | 6.59777 | − | 2.68836i | 0.0140080 | − | 0.00570777i | ||||
\(472\) | −24.2349 | − | 25.6875i | −0.0513451 | − | 0.0544226i | ||||
\(473\) | 719.926 | + | 215.532i | 1.52204 | + | 0.455670i | ||||
\(474\) | −450.203 | + | 283.170i | −0.949795 | + | 0.597404i | ||||
\(475\) | −582.220 | + | 68.0518i | −1.22573 | + | 0.143267i | ||||
\(476\) | 26.4993 | + | 31.5806i | 0.0556707 | + | 0.0663458i | ||||
\(477\) | 454.222 | + | 287.462i | 0.952248 | + | 0.602645i | ||||
\(478\) | −123.040 | − | 103.243i | −0.257406 | − | 0.215989i | ||||
\(479\) | −290.605 | + | 441.844i | −0.606692 | + | 0.922430i | 0.393304 | + | 0.919409i | \(0.371332\pi\) |
−0.999995 | + | 0.00302119i | \(0.999038\pi\) | |||||||
\(480\) | 0.110752 | + | 0.108826i | 0.000230733 | + | 0.000226721i | ||||
\(481\) | −27.8861 | + | 37.4576i | −0.0579754 | + | 0.0778744i | ||||
\(482\) | 181.486 | − | 361.369i | 0.376527 | − | 0.749728i | ||||
\(483\) | −62.6009 | + | 103.512i | −0.129608 | + | 0.214311i | ||||
\(484\) | 196.212 | + | 46.5032i | 0.405397 | + | 0.0960809i | ||||
\(485\) | 0.0586450i | 0.000120918i | ||||||||
\(486\) | −64.6647 | − | 337.515i | −0.133055 | − | 0.694476i | ||||
\(487\) | 881.791 | 1.81066 | 0.905329 | − | 0.424711i | \(-0.139624\pi\) | ||||
0.905329 | + | 0.424711i | \(0.139624\pi\) | |||||||
\(488\) | 10.2413 | − | 43.2112i | 0.0209862 | − | 0.0885476i | ||||
\(489\) | 564.411 | + | 341.337i | 1.15422 | + | 0.698031i | ||||
\(490\) | −0.443232 | − | 0.222599i | −0.000904554 | − | 0.000454284i | ||||
\(491\) | 20.0810 | + | 14.9498i | 0.0408982 | + | 0.0304476i | 0.617414 | − | 0.786639i | \(-0.288181\pi\) |
−0.576515 | + | 0.817086i | \(0.695588\pi\) | |||||||
\(492\) | 42.3266 | − | 43.0757i | 0.0860298 | − | 0.0875522i | ||||
\(493\) | −14.9224 | − | 9.81464i | −0.0302686 | − | 0.0199080i | ||||
\(494\) | −116.089 | + | 138.350i | −0.234999 | + | 0.280061i | ||||
\(495\) | 1.22541 | + | 0.0498241i | 0.00247558 | + | 0.000100655i | ||||
\(496\) | 31.2917 | − | 26.2568i | 0.0630880 | − | 0.0529371i | ||||
\(497\) | −51.0092 | − | 436.412i | −0.102634 | − | 0.878092i | ||||
\(498\) | −10.2350 | − | 16.2723i | −0.0205522 | − | 0.0326753i | ||||
\(499\) | −66.3700 | + | 221.691i | −0.133006 | + | 0.444271i | −0.998383 | − | 0.0568508i | \(-0.981894\pi\) |
0.865377 | + | 0.501122i | \(0.167079\pi\) | |||||||
\(500\) | 0.665505 | − | 0.627872i | 0.00133101 | − | 0.00125574i | ||||
\(501\) | −116.083 | − | 284.891i | −0.231703 | − | 0.568644i | ||||
\(502\) | 116.302 | + | 156.221i | 0.231678 | + | 0.311198i | ||||
\(503\) | −851.061 | + | 150.065i | −1.69197 | + | 0.298340i | −0.934879 | − | 0.354968i | \(-0.884492\pi\) |
−0.757092 | + | 0.653308i | \(0.773381\pi\) | |||||||
\(504\) | 58.1085 | + | 59.4663i | 0.115295 | + | 0.117989i | ||||
\(505\) | 0.191243 | − | 1.08459i | 0.000378699 | − | 0.00214771i | ||||
\(506\) | −116.704 | − | 232.377i | −0.230641 | − | 0.459243i | ||||
\(507\) | 179.974 | + | 377.280i | 0.354977 | + | 0.744142i | ||||
\(508\) | 256.621 | + | 29.9947i | 0.505160 | + | 0.0590447i | ||||
\(509\) | −374.241 | − | 569.006i | −0.735248 | − | 1.11789i | −0.988607 | − | 0.150518i | \(-0.951906\pi\) |
0.253360 | − | 0.967372i | \(-0.418464\pi\) | |||||||
\(510\) | −0.231859 | + | 0.0790930i | −0.000454625 | + | 0.000155084i | ||||
\(511\) | 13.3520 | + | 44.5989i | 0.0261292 | + | 0.0872777i | ||||
\(512\) | −19.5959 | − | 11.3137i | −0.0382733 | − | 0.0220971i | ||||
\(513\) | 615.608 | + | 147.709i | 1.20002 | + | 0.287931i | ||||
\(514\) | −118.044 | − | 204.458i | −0.229657 | − | 0.397777i | ||||
\(515\) | 0.783987 | + | 0.739654i | 0.00152231 | + | 0.00143622i | ||||
\(516\) | −299.150 | + | 46.5026i | −0.579749 | + | 0.0901213i | ||||
\(517\) | 54.7370 | + | 939.798i | 0.105874 | + | 1.81779i | ||||
\(518\) | −36.3650 | + | 15.6863i | −0.0702028 | + | 0.0302825i | ||||
\(519\) | 105.691 | − | 231.945i | 0.203644 | − | 0.446908i | ||||
\(520\) | 0.00819532 | − | 0.140708i | 1.57602e−5 | − | 0.000270593i | ||||
\(521\) | 314.793 | + | 864.886i | 0.604209 | + | 1.66005i | 0.742650 | + | 0.669679i | \(0.233568\pi\) |
−0.138442 | + | 0.990371i | \(0.544209\pi\) | |||||||
\(522\) | −31.5066 | − | 17.4608i | −0.0603575 | − | 0.0334498i | ||||
\(523\) | −401.211 | − | 146.029i | −0.767133 | − | 0.279214i | −0.0713365 | − | 0.997452i | \(-0.522726\pi\) |
−0.695797 | + | 0.718239i | \(0.744949\pi\) | |||||||
\(524\) | 440.855 | + | 190.166i | 0.841326 | + | 0.362913i | ||||
\(525\) | 181.558 | − | 164.449i | 0.345825 | − | 0.313236i | ||||
\(526\) | −536.240 | + | 127.091i | −1.01947 | + | 0.241618i | ||||
\(527\) | 14.8628 | + | 62.7109i | 0.0282026 | + | 0.118996i | ||||
\(528\) | −174.709 | + | 37.6751i | −0.330888 | + | 0.0713543i | ||||
\(529\) | 149.157 | − | 345.786i | 0.281961 | − | 0.653659i | ||||
\(530\) | 0.264321 | − | 0.726216i | 0.000498719 | − | 0.00137022i | ||||
\(531\) | 104.906 | − | 40.2800i | 0.197562 | − | 0.0758569i | ||||
\(532\) | −143.930 | + | 52.3863i | −0.270545 | + | 0.0984704i | ||||
\(533\) | −54.7268 | − | 3.18747i | −0.102677 | − | 0.00598025i | ||||
\(534\) | −39.9110 | − | 414.301i | −0.0747398 | − | 0.775845i | ||||
\(535\) | 0.618557 | + | 1.43398i | 0.00115618 | + | 0.00268033i | ||||
\(536\) | −221.187 | + | 12.8827i | −0.412662 | + | 0.0240348i | ||||
\(537\) | −148.475 | − | 57.4827i | −0.276489 | − | 0.107044i | ||||
\(538\) | −461.882 | + | 489.566i | −0.858517 | + | 0.909975i | ||||
\(539\) | 494.421 | − | 285.454i | 0.917293 | − | 0.529599i | ||||
\(540\) | −0.454205 | + | 0.194430i | −0.000841120 | + | 0.000360056i | ||||
\(541\) | 27.3101 | − | 47.3025i | 0.0504808 | − | 0.0874354i | −0.839681 | − | 0.543080i | \(-0.817258\pi\) |
0.890162 | + | 0.455645i | \(0.150591\pi\) | |||||||
\(542\) | −327.677 | + | 98.1001i | −0.604570 | + | 0.180996i | ||||
\(543\) | −575.245 | + | 657.928i | −1.05938 | + | 1.21165i | ||||
\(544\) | 29.8271 | − | 19.6176i | 0.0548292 | − | 0.0360617i | ||||
\(545\) | 0.154051 | − | 1.31799i | 0.000282663 | − | 0.00241833i | ||||
\(546\) | 5.91825 | − | 75.2407i | 0.0108393 | − | 0.137803i | ||||
\(547\) | −503.678 | + | 252.957i | −0.920801 | + | 0.462444i | −0.845053 | − | 0.534683i | \(-0.820431\pi\) |
−0.0757488 | + | 0.997127i | \(0.524135\pi\) | |||||||
\(548\) | −199.052 | − | 35.0982i | −0.363233 | − | 0.0640478i | ||||
\(549\) | 114.808 | + | 82.3812i | 0.209121 | + | 0.150057i | ||||
\(550\) | 91.4382 | + | 518.572i | 0.166251 | + | 0.942858i | ||||
\(551\) | 53.2280 | − | 39.6268i | 0.0966025 | − | 0.0719179i | ||||
\(552\) | 82.7394 | + | 64.2506i | 0.149890 | + | 0.116396i | ||||
\(553\) | 280.978 | + | 297.820i | 0.508098 | + | 0.538553i | ||||
\(554\) | −281.801 | − | 84.3658i | −0.508666 | − | 0.152285i | ||||
\(555\) | −0.00890777 | − | 0.235173i | −1.60500e−5 | − | 0.000423736i | ||||
\(556\) | −492.070 | + | 57.5148i | −0.885019 | + | 0.103444i | ||||
\(557\) | −358.943 | − | 427.772i | −0.644423 | − | 0.767993i | 0.340639 | − | 0.940194i | \(-0.389357\pi\) |
−0.985062 | + | 0.172201i | \(0.944912\pi\) | |||||||
\(558\) | 39.4566 | + | 123.845i | 0.0707108 | + | 0.221945i | ||||
\(559\) | 210.520 | + | 176.647i | 0.376600 | + | 0.316005i | ||||
\(560\) | 0.0656856 | − | 0.0998701i | 0.000117296 | − | 0.000178339i | ||||
\(561\) | 70.5906 | − | 273.003i | 0.125830 | − | 0.486636i | ||||
\(562\) | −127.822 | + | 171.695i | −0.227441 | + | 0.305506i | ||||
\(563\) | −52.9285 | + | 105.389i | −0.0940115 | + | 0.187192i | −0.935723 | − | 0.352735i | \(-0.885252\pi\) |
0.841712 | + | 0.539927i | \(0.181548\pi\) | |||||||
\(564\) | −182.909 | − | 332.219i | −0.324308 | − | 0.589040i | ||||
\(565\) | −0.191297 | − | 0.0453382i | −0.000338578 | − | 8.02446e-5i | ||||
\(566\) | 113.585i | 0.200680i | ||||||||
\(567\) | −245.279 | + | 99.1493i | −0.432591 | + | 0.174866i | ||||
\(568\) | −380.494 | −0.669883 | ||||||||
\(569\) | −37.9245 | + | 160.016i | −0.0666512 | + | 0.281223i | −0.996157 | − | 0.0875836i | \(-0.972086\pi\) |
0.929506 | + | 0.368807i | \(0.120234\pi\) | |||||||
\(570\) | 0.0184920 | − | 0.909989i | 3.24421e−5 | − | 0.00159647i | ||||
\(571\) | 200.702 | + | 100.796i | 0.351492 | + | 0.176526i | 0.615780 | − | 0.787918i | \(-0.288841\pi\) |
−0.264289 | + | 0.964444i | \(0.585137\pi\) | |||||||
\(572\) | 130.134 | + | 96.8811i | 0.227507 | + | 0.169373i | ||||
\(573\) | −140.899 | − | 507.980i | −0.245898 | − | 0.886527i | ||||
\(574\) | −38.8433 | − | 25.5476i | −0.0676712 | − | 0.0445081i | ||||
\(575\) | 198.391 | − | 236.433i | 0.345027 | − | 0.411187i | ||||
\(576\) | 56.9898 | − | 44.0018i | 0.0989407 | − | 0.0763920i | ||||
\(577\) | −306.329 | + | 257.041i | −0.530900 | + | 0.445478i | −0.868412 | − | 0.495843i | \(-0.834859\pi\) |
0.337512 | + | 0.941321i | \(0.390415\pi\) | |||||||
\(578\) | −40.9091 | − | 349.999i | −0.0707769 | − | 0.605535i | ||||
\(579\) | −202.839 | + | 384.217i | −0.350326 | + | 0.663587i | ||||
\(580\) | −0.0148529 | + | 0.0496123i | −2.56085e−5 | + | 8.55384e-5i | ||||
\(581\) | −10.7645 | + | 10.1558i | −0.0185275 | + | 0.0174798i | ||||
\(582\) | 26.9404 | + | 3.70514i | 0.0462893 | + | 0.00636622i | ||||
\(583\) | 531.207 | + | 713.535i | 0.911162 | + | 1.22390i | ||||
\(584\) | 39.7027 | − | 7.00065i | 0.0679840 | − | 0.0119874i | ||||
\(585\) | 0.404254 | + | 0.194221i | 0.000691032 | + | 0.000332002i | ||||
\(586\) | 27.9607 | − | 158.573i | 0.0477145 | − | 0.270602i | ||||
\(587\) | 90.2200 | + | 179.643i | 0.153697 | + | 0.306036i | 0.957283 | − | 0.289153i | \(-0.0933736\pi\) |
−0.803586 | + | 0.595189i | \(0.797077\pi\) | |||||||
\(588\) | −130.261 | + | 189.548i | −0.221532 | + | 0.322361i | ||||
\(589\) | −237.828 | − | 27.7981i | −0.403783 | − | 0.0471955i | ||||
\(590\) | −0.0887776 | − | 0.134980i | −0.000150470 | − | 0.000228779i | ||||
\(591\) | −111.219 | + | 563.548i | −0.188188 | + | 0.953550i | ||||
\(592\) | 9.83621 | + | 32.8552i | 0.0166152 | + | 0.0554987i | ||||
\(593\) | 423.475 | + | 244.493i | 0.714123 | + | 0.412299i | 0.812586 | − | 0.582842i | \(-0.198059\pi\) |
−0.0984630 | + | 0.995141i | \(0.531393\pi\) | |||||||
\(594\) | 100.309 | − | 559.783i | 0.168870 | − | 0.942396i | ||||
\(595\) | 0.0942977 | + | 0.163328i | 0.000158483 | + | 0.000274501i | ||||
\(596\) | 136.687 | + | 128.958i | 0.229341 | + | 0.216372i | ||||
\(597\) | 421.763 | + | 523.896i | 0.706471 | + | 0.877547i | ||||
\(598\) | −5.52912 | − | 94.9314i | −0.00924603 | − | 0.158748i | ||||
\(599\) | 209.807 | − | 90.5018i | 0.350262 | − | 0.151088i | −0.213678 | − | 0.976904i | \(-0.568544\pi\) |
0.563940 | + | 0.825816i | \(0.309285\pi\) | |||||||
\(600\) | −123.193 | − | 172.694i | −0.205321 | − | 0.287823i | ||||
\(601\) | −60.5467 | + | 1039.55i | −0.100743 | + | 1.72969i | 0.448286 | + | 0.893890i | \(0.352035\pi\) |
−0.549029 | + | 0.835803i | \(0.685002\pi\) | |||||||
\(602\) | 79.7133 | + | 219.010i | 0.132414 | + | 0.363805i | ||||
\(603\) | 229.468 | − | 666.615i | 0.380545 | − | 1.10550i | ||||
\(604\) | 383.382 | + | 139.540i | 0.634739 | + | 0.231026i | ||||
\(605\) | 0.847038 | + | 0.365376i | 0.00140006 | + | 0.000603928i | ||||
\(606\) | −486.158 | − | 156.377i | −0.802241 | − | 0.258047i | ||||
\(607\) | 358.327 | − | 84.9251i | 0.590325 | − | 0.139910i | 0.0754124 | − | 0.997152i | \(-0.475973\pi\) |
0.514912 | + | 0.857243i | \(0.327825\pi\) | |||||||
\(608\) | 30.5886 | + | 129.063i | 0.0503102 | + | 0.212275i | ||||
\(609\) | −8.49144 | + | 26.3989i | −0.0139433 | + | 0.0433480i | ||||
\(610\) | 0.0804658 | − | 0.186541i | 0.000131911 | − | 0.000305804i | ||||
\(611\) | −117.742 | + | 323.495i | −0.192704 | + | 0.529451i | ||||
\(612\) | 21.6852 | + | 111.508i | 0.0354333 | + | 0.182203i | ||||
\(613\) | 507.792 | − | 184.821i | 0.828372 | − | 0.301503i | 0.107181 | − | 0.994239i | \(-0.465817\pi\) |
0.721191 | + | 0.692737i | \(0.243595\pi\) | |||||||
\(614\) | −497.143 | − | 28.9553i | −0.809679 | − | 0.0471584i | ||||
\(615\) | 0.224910 | − | 0.160442i | 0.000365707 | − | 0.000260881i | ||||
\(616\) | 54.4970 | + | 126.338i | 0.0884691 | + | 0.205094i | ||||
\(617\) | −526.412 | + | 30.6600i | −0.853181 | + | 0.0496921i | −0.479159 | − | 0.877728i | \(-0.659058\pi\) |
−0.374021 | + | 0.927420i | \(0.622021\pi\) | |||||||
\(618\) | 389.314 | − | 313.418i | 0.629958 | − | 0.507149i | ||||
\(619\) | 754.846 | − | 800.090i | 1.21946 | − | 1.29255i | 0.275965 | − | 0.961168i | \(-0.411003\pi\) |
0.943496 | − | 0.331385i | \(-0.107516\pi\) | |||||||
\(620\) | 0.161834 | − | 0.0934349i | 0.000261023 | − | 0.000150702i | ||||
\(621\) | −289.137 | + | 165.864i | −0.465599 | + | 0.267092i | ||||
\(622\) | −204.995 | + | 355.062i | −0.329574 | + | 0.570839i | ||||
\(623\) | −306.964 | + | 91.8990i | −0.492719 | + | 0.147510i | ||||
\(624\) | −64.1209 | − | 12.6546i | −0.102758 | − | 0.0202798i | ||||
\(625\) | −522.175 | + | 343.440i | −0.835479 | + | 0.549503i | ||||
\(626\) | 99.3984 | − | 850.408i | 0.158783 | − | 1.35848i | ||||
\(627\) | 863.430 | + | 593.363i | 1.37708 | + | 0.946353i | ||||
\(628\) | −4.24443 | + | 2.13163i | −0.00675865 | + | 0.00339432i | ||||
\(629\) | −53.2882 | − | 9.39614i | −0.0847189 | − | 0.0149382i | ||||
\(630\) | 0.214552 | + | 0.314070i | 0.000340559 | + | 0.000498523i | ||||
\(631\) | 23.6722 | + | 134.251i | 0.0375153 | + | 0.212760i | 0.997803 | − | 0.0662522i | \(-0.0211042\pi\) |
−0.960288 | + | 0.279012i | \(0.909993\pi\) | |||||||
\(632\) | 284.408 | − | 211.734i | 0.450012 | − | 0.335022i | ||||
\(633\) | 88.4954 | − | 643.458i | 0.139803 | − | 1.01652i | ||||
\(634\) | 566.758 | + | 600.729i | 0.893941 | + | 0.947522i | ||||
\(635\) | 1.13231 | + | 0.338991i | 0.00178316 | + | 0.000533844i | ||||
\(636\) | −316.910 | − | 167.306i | −0.498286 | − | 0.263059i | ||||
\(637\) | 207.363 | − | 24.2372i | 0.325530 | − | 0.0380490i | ||||
\(638\) | −38.3169 | − | 45.6643i | −0.0600578 | − | 0.0715741i | ||||
\(639\) | 459.970 | − | 1119.95i | 0.719828 | − | 1.75265i | ||||
\(640\) | −0.0792964 | − | 0.0665376i | −0.000123901 | − | 0.000103965i | ||||
\(641\) | 135.134 | − | 205.462i | 0.210818 | − | 0.320533i | −0.714563 | − | 0.699571i | \(-0.753375\pi\) |
0.925381 | + | 0.379038i | \(0.123745\pi\) | |||||||
\(642\) | 697.820 | − | 193.556i | 1.08695 | − | 0.301489i | ||||
\(643\) | 499.717 | − | 671.237i | 0.777165 | − | 1.04391i | −0.220484 | − | 0.975390i | \(-0.570764\pi\) |
0.997650 | − | 0.0685234i | \(-0.0218288\pi\) | |||||||
\(644\) | 36.1941 | − | 72.0684i | 0.0562020 | − | 0.111907i | ||||
\(645\) | −1.38468 | − | 0.0281382i | −0.00214679 | − | 4.36252e-5i | ||||
\(646\) | −203.628 | − | 48.2608i | −0.315214 | − | 0.0747072i | ||||
\(647\) | 314.741i | 0.486462i | 0.969968 | + | 0.243231i | \(0.0782072\pi\) | ||||
−0.969968 | + | 0.243231i | \(0.921793\pi\) | |||||||
\(648\) | 60.6213 | + | 220.937i | 0.0935514 | + | 0.340952i | ||||
\(649\) | 185.961 | 0.286535 | ||||||||
\(650\) | −44.4077 | + | 187.371i | −0.0683195 | + | 0.288263i | ||||
\(651\) | 87.6563 | − | 48.2609i | 0.134649 | − | 0.0741335i | ||||
\(652\) | −392.960 | − | 197.352i | −0.602699 | − | 0.302687i | ||||
\(653\) | −613.841 | − | 456.988i | −0.940033 | − | 0.699828i | 0.0138828 | − | 0.999904i | \(-0.495581\pi\) |
−0.953916 | + | 0.300075i | \(0.902988\pi\) | |||||||
\(654\) | −595.727 | − | 154.038i | −0.910898 | − | 0.235531i | ||||
\(655\) | 1.83508 | + | 1.20695i | 0.00280165 | + | 0.00184268i | ||||
\(656\) | −25.8790 | + | 30.8414i | −0.0394497 | + | 0.0470143i | ||||
\(657\) | −27.3899 | + | 125.324i | −0.0416893 | + | 0.190752i | ||||
\(658\) | −223.653 | + | 187.667i | −0.339899 | + | 0.285209i | ||||
\(659\) | 22.6112 | + | 193.451i | 0.0343114 | + | 0.293553i | 0.999489 | + | 0.0319581i | \(0.0101743\pi\) |
−0.965178 | + | 0.261595i | \(0.915752\pi\) | |||||||
\(660\) | −0.817031 | + | 0.0309471i | −0.00123793 | + | 4.68895e-5i | ||||
\(661\) | −175.419 | + | 585.942i | −0.265385 | + | 0.886447i | 0.716599 | + | 0.697485i | \(0.245698\pi\) |
−0.981984 | + | 0.188962i | \(0.939488\pi\) | |||||||
\(662\) | 183.161 | − | 172.803i | 0.276678 | − | 0.261032i | ||||
\(663\) | 63.2452 | − | 81.4447i | 0.0953925 | − | 0.122843i | ||||
\(664\) | 7.65298 | + | 10.2797i | 0.0115256 | + | 0.0154815i | ||||
\(665\) | −0.690052 | + | 0.121675i | −0.00103767 | + | 0.000182970i | ||||
\(666\) | −108.597 | − | 10.7660i | −0.163058 | − | 0.0161651i | ||||
\(667\) | −6.06721 | + | 34.4089i | −0.00909627 | + | 0.0515875i | ||||
\(668\) | 92.0436 | + | 183.274i | 0.137790 | + | 0.274362i | ||||
\(669\) | 239.011 | + | 18.8000i | 0.357266 | + | 0.0281016i | ||||
\(670\) | −1.00673 | − | 0.117670i | −0.00150258 | − | 0.000175626i | ||||
\(671\) | 128.498 | + | 195.372i | 0.191503 | + | 0.291166i | ||||
\(672\) | −41.7284 | − | 36.4844i | −0.0620959 | − | 0.0542922i | ||||
\(673\) | −28.4939 | − | 95.1763i | −0.0423387 | − | 0.141421i | 0.934207 | − | 0.356731i | \(-0.116109\pi\) |
−0.976546 | + | 0.215310i | \(0.930924\pi\) | |||||||
\(674\) | −119.608 | − | 69.0556i | −0.177460 | − | 0.102456i | ||||
\(675\) | 657.233 | − | 153.840i | 0.973678 | − | 0.227912i | ||||
\(676\) | −139.336 | − | 241.337i | −0.206118 | − | 0.357007i | ||||
\(677\) | −460.124 | − | 434.104i | −0.679651 | − | 0.641218i | 0.266918 | − | 0.963719i | \(-0.413995\pi\) |
−0.946569 | + | 0.322501i | \(0.895476\pi\) | |||||||
\(678\) | −32.9134 | + | 85.0136i | −0.0485449 | + | 0.125389i | ||||
\(679\) | −1.21727 | − | 20.8998i | −0.00179274 | − | 0.0307802i | ||||
\(680\) | 0.149962 | − | 0.0646871i | 0.000220532 | − | 9.51281e-5i | ||||
\(681\) | 348.297 | − | 33.5526i | 0.511450 | − | 0.0492697i | ||||
\(682\) | −12.5068 | + | 214.733i | −0.0183384 | + | 0.314857i | ||||
\(683\) | −368.595 | − | 1012.71i | −0.539670 | − | 1.48273i | −0.847242 | − | 0.531207i | \(-0.821739\pi\) |
0.307572 | − | 0.951525i | \(-0.400483\pi\) | |||||||
\(684\) | −416.863 | − | 65.9871i | −0.609449 | − | 0.0964724i | ||||
\(685\) | −0.868890 | − | 0.316250i | −0.00126845 | − | 0.000461679i | ||||
\(686\) | 370.403 | + | 159.776i | 0.539946 | + | 0.232910i | ||||
\(687\) | −44.5158 | − | 206.431i | −0.0647974 | − | 0.300482i | ||||
\(688\) | 196.389 | − | 46.5449i | 0.285448 | − | 0.0676525i | ||||
\(689\) | 75.0196 | + | 316.533i | 0.108882 | + | 0.459409i | ||||
\(690\) | 0.321719 | + | 0.355191i | 0.000466260 | + | 0.000514769i | ||||
\(691\) | 235.679 | − | 546.366i | 0.341070 | − | 0.790688i | −0.658214 | − | 0.752831i | \(-0.728688\pi\) |
0.999283 | − | 0.0378570i | \(-0.0120531\pi\) | |||||||
\(692\) | −58.1185 | + | 159.679i | −0.0839862 | + | 0.230750i | ||||
\(693\) | −437.744 | + | 7.67927i | −0.631665 | + | 0.0110812i | ||||
\(694\) | 873.049 | − | 317.764i | 1.25800 | − | 0.457873i | ||||
\(695\) | −2.26258 | − | 0.131780i | −0.00325550 | − | 0.000189612i | ||||
\(696\) | 21.8525 | + | 9.95761i | 0.0313973 | + | 0.0143069i | ||||
\(697\) | −25.1593 | − | 58.3258i | −0.0360965 | − | 0.0836812i | ||||
\(698\) | 495.941 | − | 28.8853i | 0.710517 | − | 0.0413829i | ||||
\(699\) | −113.241 | − | 728.476i | −0.162004 | − | 1.04217i | ||||
\(700\) | −112.069 | + | 118.786i | −0.160099 | + | 0.169695i | ||||
\(701\) | 501.730 | − | 289.674i | 0.715735 | − | 0.413230i | −0.0974462 | − | 0.995241i | \(-0.531067\pi\) |
0.813181 | + | 0.582011i | \(0.197734\pi\) | |||||||
\(702\) | 114.762 | − | 173.436i | 0.163478 | − | 0.247059i | ||||
\(703\) | 100.519 | − | 174.104i | 0.142986 | − | 0.247659i | ||||
\(704\) | 114.144 | − | 34.1726i | 0.162137 | − | 0.0485406i | ||||
\(705\) | −0.560136 | − | 1.64202i | −0.000794519 | − | 0.00232911i | ||||
\(706\) | −52.0290 | + | 34.2200i | −0.0736954 | + | 0.0484703i | ||||
\(707\) | −45.6422 | + | 390.494i | −0.0645576 | + | 0.552325i | ||||
\(708\) | −67.6160 | + | 32.2548i | −0.0955028 | + | 0.0455576i | ||||
\(709\) | 544.264 | − | 273.340i | 0.767651 | − | 0.385529i | −0.0214678 | − | 0.999770i | \(-0.506834\pi\) |
0.789119 | + | 0.614241i | \(0.210538\pi\) | |||||||
\(710\) | −1.71421 | − | 0.302261i | −0.00241438 | − | 0.000425720i | ||||
\(711\) | 279.404 | + | 1093.09i | 0.392973 | + | 1.53739i | ||||
\(712\) | 48.1838 | + | 273.264i | 0.0676739 | + | 0.383798i | ||||
\(713\) | 101.128 | − | 75.2869i | 0.141834 | − | 0.105592i | ||||
\(714\) | 80.9875 | − | 32.9996i | 0.113428 | − | 0.0462179i | ||||
\(715\) | 0.509320 | + | 0.539848i | 0.000712336 | + | 0.000755032i | ||||
\(716\) | 101.683 | + | 30.4420i | 0.142016 | + | 0.0425168i | ||||
\(717\) | −288.413 | + | 181.407i | −0.402249 | + | 0.253008i | ||||
\(718\) | −805.217 | + | 94.1164i | −1.12147 | + | 0.131081i | ||||
\(719\) | −776.180 | − | 925.015i | −1.07953 | − | 1.28653i | −0.955737 | − | 0.294222i | \(-0.904940\pi\) |
−0.123790 | − | 0.992308i | \(-0.539505\pi\) | |||||||
\(720\) | 0.291707 | − | 0.152966i | 0.000405148 | − | 0.000212452i | ||||
\(721\) | −294.748 | − | 247.323i | −0.408805 | − | 0.343028i | ||||
\(722\) | 146.706 | − | 223.056i | 0.203195 | − | 0.308942i | ||||
\(723\) | −611.869 | − | 601.229i | −0.846292 | − | 0.831576i | ||||
\(724\) | 347.922 | − | 467.340i | 0.480555 | − | 0.645497i | ||||
\(725\) | 31.7537 | − | 63.2268i | 0.0437982 | − | 0.0872094i | ||||
\(726\) | 221.362 | − | 366.029i | 0.304906 | − | 0.504172i | ||||
\(727\) | −1351.93 | − | 320.413i | −1.85960 | − | 0.440733i | −0.861812 | − | 0.507228i | \(-0.830670\pi\) |
−0.997787 | + | 0.0664949i | \(0.978818\pi\) | |||||||
\(728\) | 50.3154i | 0.0691145i | ||||||||
\(729\) | −723.590 | − | 88.6523i | −0.992578 | − | 0.121608i | ||||
\(730\) | 0.184431 | 0.000252645 | ||||||||
\(731\) | −73.4358 | + | 309.850i | −0.100459 | + | 0.423872i | ||||
\(732\) | −80.6094 | − | 48.7499i | −0.110122 | − | 0.0665982i | ||||
\(733\) | 23.8177 | + | 11.9617i | 0.0324934 | + | 0.0163188i | 0.464972 | − | 0.885326i | \(-0.346064\pi\) |
−0.432478 | + | 0.901644i | \(0.642361\pi\) | |||||||
\(734\) | −107.462 | − | 80.0021i | −0.146405 | − | 0.108995i | ||||
\(735\) | −0.737429 | + | 0.750479i | −0.00100331 | + | 0.00102106i | ||||
\(736\) | −58.3486 | − | 38.3765i | −0.0792779 | − | 0.0521419i | ||||
\(737\) | 749.930 | − | 893.732i | 1.01754 | − | 1.21266i | ||||
\(738\) | −59.4941 | − | 113.456i | −0.0806153 | − | 0.153734i | ||||
\(739\) | 593.959 | − | 498.391i | 0.803733 | − | 0.674412i | −0.145370 | − | 0.989377i | \(-0.546437\pi\) |
0.949103 | + | 0.314965i | \(0.101993\pi\) | |||||||
\(740\) | 0.0182144 | + | 0.155834i | 2.46140e−5 | + | 0.000210586i | ||||
\(741\) | 203.980 | + | 324.301i | 0.275276 | + | 0.437653i | ||||
\(742\) | −79.1243 | + | 264.294i | −0.106637 | + | 0.356191i | ||||
\(743\) | −219.186 | + | 206.792i | −0.295002 | + | 0.278320i | −0.819485 | − | 0.573101i | \(-0.805740\pi\) |
0.524483 | + | 0.851421i | \(0.324259\pi\) | |||||||
\(744\) | −32.6977 | − | 80.2466i | −0.0439485 | − | 0.107858i | ||||
\(745\) | 0.513363 | + | 0.689566i | 0.000689078 | + | 0.000925592i | ||||
\(746\) | 667.371 | − | 117.676i | 0.894599 | − | 0.157742i | ||||
\(747\) | −39.5089 | + | 10.0989i | −0.0528901 | + | 0.0135192i | ||||
\(748\) | −32.6437 | + | 185.132i | −0.0436414 | + | 0.247503i | ||||
\(749\) | −250.204 | − | 498.198i | −0.334051 | − | 0.665150i | ||||
\(750\) | −0.835650 | − | 1.75178i | −0.00111420 | − | 0.00233571i | ||||
\(751\) | −650.484 | − | 76.0306i | −0.866157 | − | 0.101239i | −0.328602 | − | 0.944468i | \(-0.606578\pi\) |
−0.537554 | + | 0.843229i | \(0.680652\pi\) | |||||||
\(752\) | 138.932 | + | 211.235i | 0.184749 | + | 0.280898i | ||||
\(753\) | 391.023 | − | 133.388i | 0.519286 | − | 0.177142i | ||||
\(754\) | −6.25199 | − | 20.8831i | −0.00829176 | − | 0.0276964i | ||||
\(755\) | 1.61637 | + | 0.933213i | 0.00214089 | + | 0.00123604i | ||||
\(756\) | 157.833 | − | 78.7184i | 0.208773 | − | 0.104125i | ||||
\(757\) | −358.360 | − | 620.697i | −0.473394 | − | 0.819943i | 0.526142 | − | 0.850397i | \(-0.323638\pi\) |
−0.999536 | + | 0.0304538i | \(0.990305\pi\) | |||||||
\(758\) | 700.621 | + | 661.001i | 0.924302 | + | 0.872034i | ||||
\(759\) | −545.074 | + | 84.7312i | −0.718148 | + | 0.111635i | ||||
\(760\) | 0.0352814 | + | 0.605758i | 4.64229e−5 | + | 0.000797050i | ||||
\(761\) | −1149.69 | + | 495.927i | −1.51076 | + | 0.651678i | −0.980564 | − | 0.196197i | \(-0.937141\pi\) |
−0.530195 | + | 0.847876i | \(0.677881\pi\) | |||||||
\(762\) | 227.264 | − | 498.743i | 0.298247 | − | 0.654519i | ||||
\(763\) | −27.5433 | + | 472.900i | −0.0360987 | + | 0.619791i | ||||
\(764\) | 120.199 | + | 330.245i | 0.157329 | + | 0.432258i | ||||
\(765\) | 0.00911519 | + | 0.519596i | 1.19153e−5 | + | 0.000679211i | ||||
\(766\) | 346.957 | + | 126.282i | 0.452947 | + | 0.164859i | ||||
\(767\) | 62.4423 | + | 26.9350i | 0.0814111 | + | 0.0351173i | ||||
\(768\) | −35.5760 | + | 32.2235i | −0.0463229 | + | 0.0419576i | ||||
\(769\) | −59.6462 | + | 14.1364i | −0.0775633 | + | 0.0183828i | −0.269214 | − | 0.963080i | \(-0.586764\pi\) |
0.191651 | + | 0.981463i | \(0.438616\pi\) | |||||||
\(770\) | 0.145159 | + | 0.612473i | 0.000188518 | + | 0.000795420i | ||||
\(771\) | −489.563 | + | 105.572i | −0.634971 | + | 0.136928i | ||||
\(772\) | 114.724 | − | 265.960i | 0.148606 | − | 0.344507i | ||||
\(773\) | −223.905 | + | 615.175i | −0.289658 | + | 0.795828i | 0.706456 | + | 0.707757i | \(0.250293\pi\) |
−0.996114 | + | 0.0880716i | \(0.971930\pi\) | |||||||
\(774\) | −100.409 | + | 634.318i | −0.129727 | + | 0.819532i | ||||
\(775\) | −239.905 | + | 87.3182i | −0.309555 | + | 0.112669i | ||||
\(776\) | −18.0986 | − | 1.05413i | −0.0233230 | − | 0.00135841i | ||||
\(777\) | 8.05594 | + | 83.6257i | 0.0103680 | + | 0.107626i | ||||
\(778\) | −141.385 | − | 327.768i | −0.181729 | − | 0.421295i | ||||
\(779\) | 235.602 | − | 13.7223i | 0.302442 | − | 0.0176152i | ||||
\(780\) | −0.278826 | − | 0.107949i | −0.000357469 | − | 0.000138396i | ||||
\(781\) | 1374.94 | − | 1457.35i | 1.76049 | − | 1.86601i | ||||
\(782\) | 95.4237 | − | 55.0929i | 0.122025 | − | 0.0704513i | ||||
\(783\) | −55.7263 | + | 52.2833i | −0.0711702 | + | 0.0667730i | ||||
\(784\) | 76.6641 | − | 132.786i | 0.0977858 | − | 0.169370i | ||||
\(785\) | −0.0208154 | + | 0.00623174i | −2.65165e−5 | + | 7.93852e-6i | ||||
\(786\) | 670.389 | − | 766.747i | 0.852913 | − | 0.975505i | ||||
\(787\) | 45.7748 | − | 30.1065i | 0.0581636 | − | 0.0382548i | −0.520094 | − | 0.854109i | \(-0.674103\pi\) |
0.578258 | + | 0.815854i | \(0.303733\pi\) | |||||||
\(788\) | 44.4572 | − | 380.356i | 0.0564178 | − | 0.482685i | ||||
\(789\) | −91.6713 | + | 1165.45i | −0.116187 | + | 1.47712i | ||||
\(790\) | 1.44952 | − | 0.727976i | 0.00183483 | − | 0.000921489i | ||||
\(791\) | 69.1150 | + | 12.1868i | 0.0873767 | + | 0.0154069i | ||||
\(792\) | −37.4028 | + | 377.284i | −0.0472258 | + | 0.476368i | ||||
\(793\) | 14.8492 | + | 84.2143i | 0.0187254 | + | 0.106197i | ||||
\(794\) | 713.396 | − | 531.103i | 0.898483 | − | 0.668896i | ||||
\(795\) | −1.29484 | − | 1.00550i | −0.00162873 | − | 0.00126478i | ||||
\(796\) | −307.697 | − | 326.140i | −0.386554 | − | 0.409724i | ||||
\(797\) | 591.335 | + | 177.034i | 0.741951 | + | 0.222126i | 0.635402 | − | 0.772182i | \(-0.280835\pi\) |
0.106549 | + | 0.994307i | \(0.466020\pi\) | |||||||
\(798\) | 12.2982 | + | 324.684i | 0.0154113 | + | 0.406872i | ||||
\(799\) | −396.201 | + | 46.3092i | −0.495871 | + | 0.0579590i | ||||
\(800\) | 90.9036 | + | 108.335i | 0.113629 | + | 0.135418i | ||||
\(801\) | −862.574 | − | 188.518i | −1.07687 | − | 0.235353i | ||||
\(802\) | 142.606 | + | 119.660i | 0.177813 | + | 0.149203i | ||||
\(803\) | −116.655 | + | 177.365i | −0.145274 | + | 0.220878i | ||||
\(804\) | −117.659 | + | 455.037i | −0.146342 | + | 0.565967i | ||||
\(805\) | 0.220313 | − | 0.295932i | 0.000273681 | − | 0.000367617i | ||||
\(806\) | −35.3018 | + | 70.2917i | −0.0437988 | + | 0.0872105i | ||||
\(807\) | 688.619 | + | 1250.74i | 0.853308 | + | 1.54986i | ||||
\(808\) | 331.282 | + | 78.5153i | 0.410003 | + | 0.0971724i | ||||
\(809\) | 1198.08i | 1.48094i | 0.672089 | + | 0.740470i | \(0.265397\pi\) | ||||
−0.672089 | + | 0.740470i | \(0.734603\pi\) | |||||||
\(810\) | 0.0976021 | + | 1.04353i | 0.000120496 | + | 0.00128830i | ||||
\(811\) | −1552.87 | −1.91477 | −0.957383 | − | 0.288822i | \(-0.906736\pi\) | ||||
−0.957383 | + | 0.288822i | \(0.906736\pi\) | |||||||
\(812\) | 4.26347 | − | 17.9890i | 0.00525058 | − | 0.0221540i | ||||
\(813\) | −14.7418 | + | 725.441i | −0.0181325 | + | 0.892301i | ||||
\(814\) | −161.384 | − | 81.0503i | −0.198261 | − | 0.0995704i | ||||
\(815\) | −1.61360 | − | 1.20128i | −0.00197987 | − | 0.00147396i | ||||
\(816\) | −20.2416 | − | 72.9763i | −0.0248059 | − | 0.0894318i | ||||
\(817\) | −988.459 | − | 650.119i | −1.20986 | − | 0.795740i | ||||
\(818\) | −442.129 | + | 526.909i | −0.540500 | + | 0.644142i | ||||
\(819\) | −148.098 | − | 60.8251i | −0.180828 | − | 0.0742675i | ||||
\(820\) | −0.141091 | + | 0.118389i | −0.000172062 | + | 0.000144377i | ||||
\(821\) | 36.8330 | + | 315.127i | 0.0448636 | + | 0.383833i | 0.996952 | + | 0.0780112i | \(0.0248570\pi\) |
−0.952089 | + | 0.305821i | \(0.901069\pi\) | |||||||
\(822\) | −200.175 | + | 379.171i | −0.243522 | + | 0.461278i | ||||
\(823\) | 396.538 | − | 1324.53i | 0.481821 | − | 1.60939i | −0.278905 | − | 0.960319i | \(-0.589971\pi\) |
0.760725 | − | 0.649074i | \(-0.224843\pi\) | |||||||
\(824\) | −242.359 | + | 228.654i | −0.294125 | + | 0.277493i | ||||
\(825\) | 1106.61 | + | 152.193i | 1.34135 | + | 0.184477i | ||||
\(826\) | 34.4401 | + | 46.2611i | 0.0416950 | + | 0.0560061i | ||||
\(827\) | 76.8898 | − | 13.5577i | 0.0929744 | − | 0.0163939i | −0.126967 | − | 0.991907i | \(-0.540524\pi\) |
0.219942 | + | 0.975513i | \(0.429413\pi\) | |||||||
\(828\) | 183.494 | − | 125.351i | 0.221611 | − | 0.151390i | ||||
\(829\) | −97.0295 | + | 550.282i | −0.117044 | + | 0.663790i | 0.868674 | + | 0.495385i | \(0.164973\pi\) |
−0.985718 | + | 0.168405i | \(0.946138\pi\) | |||||||
\(830\) | 0.0263122 | + | 0.0523920i | 3.17015e−5 | + | 6.31228e-5i | ||||
\(831\) | −353.418 | + | 514.275i | −0.425292 | + | 0.618863i | ||||
\(832\) | 43.2772 | + | 5.05837i | 0.0520158 | + | 0.00607978i | ||||
\(833\) | 132.933 | + | 202.115i | 0.159583 | + | 0.242635i | ||||
\(834\) | −203.485 | + | 1031.06i | −0.243986 | + | 1.23628i | ||||
\(835\) | 0.269085 | + | 0.898808i | 0.000322258 | + | 0.00107642i | ||||
\(836\) | −604.867 | − | 349.220i | −0.723525 | − | 0.417727i | ||||
\(837\) | 275.725 | + | 0.765766i | 0.329421 | + | 0.000914893i | ||||
\(838\) | 360.584 | + | 624.549i | 0.430291 | + | 0.745285i | ||||
\(839\) | −219.946 | − | 207.508i | −0.262152 | − | 0.247328i | 0.543931 | − | 0.839130i | \(-0.316935\pi\) |
−0.806083 | + | 0.591802i | \(0.798417\pi\) | |||||||
\(840\) | −0.159013 | − | 0.197519i | −0.000189301 | − | 0.000235142i | ||||
\(841\) | −48.4341 | − | 831.581i | −0.0575911 | − | 0.988800i | ||||
\(842\) | −649.384 | + | 280.117i | −0.771240 | + | 0.332680i | ||||
\(843\) | 263.695 | + | 369.653i | 0.312806 | + | 0.438497i | ||||
\(844\) | −25.1773 | + | 432.277i | −0.0298309 | + | 0.512177i | ||||
\(845\) | −0.436023 | − | 1.19796i | −0.000516004 | − | 0.00141771i | ||||
\(846\) | −789.701 | + | 153.574i | −0.933453 | + | 0.181530i | ||||
\(847\) | −309.449 | − | 112.630i | −0.365348 | − | 0.132976i | ||||
\(848\) | 219.369 | + | 94.6265i | 0.258690 | + | 0.111588i | ||||
\(849\) | 229.376 | + | 73.7806i | 0.270172 | + | 0.0869030i | ||||
\(850\) | −217.111 | + | 51.4563i | −0.255425 | + | 0.0605368i | ||||
\(851\) | 24.4111 | + | 102.999i | 0.0286852 | + | 0.121032i | ||||
\(852\) | −247.155 | + | 768.377i | −0.290088 | + | 0.901851i | ||||
\(853\) | 528.527 | − | 1225.26i | 0.619609 | − | 1.43642i | −0.262295 | − | 0.964988i | \(-0.584479\pi\) |
0.881905 | − | 0.471428i | \(-0.156261\pi\) | |||||||
\(854\) | −24.8043 | + | 68.1491i | −0.0290448 | + | 0.0797999i | ||||
\(855\) | −1.82564 | − | 0.628439i | −0.00213525 | − | 0.000735017i | ||||
\(856\) | −453.663 | + | 165.120i | −0.529980 | + | 0.192897i | ||||
\(857\) | 148.948 | + | 8.67522i | 0.173801 | + | 0.0101228i | 0.144825 | − | 0.989457i | \(-0.453738\pi\) |
0.0289765 | + | 0.999580i | \(0.490775\pi\) | |||||||
\(858\) | 280.174 | − | 199.865i | 0.326543 | − | 0.232943i | ||||
\(859\) | −314.860 | − | 729.928i | −0.366543 | − | 0.849741i | −0.997277 | − | 0.0737428i | \(-0.976506\pi\) |
0.630735 | − | 0.775999i | \(-0.282754\pi\) | |||||||
\(860\) | 0.921749 | − | 0.0536858i | 0.00107180 | − | 6.24253e-5i | ||||
\(861\) | −76.8226 | + | 61.8462i | −0.0892249 | + | 0.0718306i | ||||
\(862\) | −121.339 | + | 128.612i | −0.140765 | + | 0.149202i | ||||
\(863\) | 1021.84 | − | 589.958i | 1.18405 | − | 0.683613i | 0.227104 | − | 0.973870i | \(-0.427074\pi\) |
0.956949 | + | 0.290257i | \(0.0937409\pi\) | |||||||
\(864\) | −51.8397 | − | 143.669i | −0.0599996 | − | 0.166283i | ||||
\(865\) | −0.388685 | + | 0.673221i | −0.000449346 | + | 0.000778291i | ||||
\(866\) | 567.992 | − | 170.046i | 0.655880 | − | 0.196357i | ||||
\(867\) | −733.370 | − | 144.734i | −0.845870 | − | 0.166937i | ||||
\(868\) | −55.7347 | + | 36.6573i | −0.0642104 | + | 0.0422319i | ||||
\(869\) | −216.753 | + | 1854.44i | −0.249428 | + | 2.13399i | ||||
\(870\) | 0.0905402 | + | 0.0622207i | 0.000104069 | + | 7.15181e-5i | ||||
\(871\) | 381.262 | − | 191.477i | 0.437729 | − | 0.219836i | ||||
\(872\) | 403.981 | + | 71.2328i | 0.463281 | + | 0.0816889i | ||||
\(873\) | 24.9817 | − | 51.9973i | 0.0286160 | − | 0.0595616i | ||||
\(874\) | 71.0878 | + | 403.159i | 0.0813362 | + | 0.461281i | ||||
\(875\) | −1.19852 | + | 0.892266i | −0.00136974 | + | 0.00101973i | ||||
\(876\) | 11.6521 | − | 84.7238i | 0.0133015 | − | 0.0967167i | ||||
\(877\) | 546.254 | + | 578.995i | 0.622866 | + | 0.660200i | 0.959589 | − | 0.281404i | \(-0.0908001\pi\) |
−0.336723 | + | 0.941604i | \(0.609319\pi\) | |||||||
\(878\) | −709.307 | − | 212.352i | −0.807866 | − | 0.241859i | ||||
\(879\) | −302.064 | − | 159.468i | −0.343645 | − | 0.181420i | ||||
\(880\) | 0.541393 | − | 0.0632797i | 0.000615219 | − | 7.19088e-5i | ||||
\(881\) | 761.153 | + | 907.107i | 0.863965 | + | 1.02963i | 0.999246 | + | 0.0388258i | \(0.0123617\pi\) |
−0.135281 | + | 0.990807i | \(0.543194\pi\) | |||||||
\(882\) | 298.166 | + | 386.175i | 0.338056 | + | 0.437840i | ||||
\(883\) | 944.154 | + | 792.240i | 1.06926 | + | 0.897214i | 0.994985 | − | 0.100024i | \(-0.0318921\pi\) |
0.0742725 | + | 0.997238i | \(0.476337\pi\) | |||||||
\(884\) | −37.7760 | + | 57.4356i | −0.0427330 | + | 0.0649724i | ||||
\(885\) | −0.330248 | + | 0.0916014i | −0.000373161 | + | 0.000103504i | ||||
\(886\) | 701.756 | − | 942.621i | 0.792049 | − | 1.06391i | ||||
\(887\) | 34.3300 | − | 68.3567i | 0.0387035 | − | 0.0770650i | −0.873450 | − | 0.486914i | \(-0.838122\pi\) |
0.912153 | + | 0.409849i | \(0.134419\pi\) | |||||||
\(888\) | 72.7378 | + | 1.47811i | 0.0819119 | + | 0.00166454i | ||||
\(889\) | −410.566 | − | 97.3058i | −0.461829 | − | 0.109455i | ||||
\(890\) | 1.26939i | 0.00142628i | ||||||||
\(891\) | −1065.28 | − | 566.181i | −1.19560 | − | 0.635444i | ||||
\(892\) | −159.833 | −0.179185 | ||||||||
\(893\) | 341.783 | − | 1442.09i | 0.382735 | − | 1.61489i | ||||
\(894\) | 349.207 | − | 192.263i | 0.390612 | − | 0.215059i | ||||
\(895\) | 0.433923 | + | 0.217924i | 0.000484830 | + | 0.000243491i | ||||
\(896\) | 29.6406 | + | 22.0666i | 0.0330810 | + | 0.0246279i | ||||
\(897\) | −195.298 | − | 50.4984i | −0.217724 | − | 0.0562970i | ||||
\(898\) | −218.576 | − | 143.760i | −0.243403 | − | 0.160089i | ||||
\(899\) | 18.5774 | − | 22.1397i | 0.0206646 | − | 0.0246271i | ||||
\(900\) | −428.764 | + | 136.603i | −0.476404 | + | 0.151781i | ||||
\(901\) | −288.749 | + | 242.289i | −0.320476 | + | 0.268911i | ||||
\(902\) | −24.6119 | − | 210.568i | −0.0272859 | − | 0.233446i | ||||
\(903\) | 494.053 | − | 18.7135i | 0.547124 | − | 0.0207237i | ||||
\(904\) | 17.4305 | − | 58.2218i | 0.0192815 | − | 0.0644047i | ||||
\(905\) | 1.93872 | − | 1.82908i | 0.00214223 | − | 0.00202109i | ||||
\(906\) | 530.821 | − | 683.570i | 0.585895 | − | 0.754493i | ||||
\(907\) | 926.586 | + | 1244.62i | 1.02159 | + | 1.37224i | 0.926298 | + | 0.376791i | \(0.122973\pi\) |
0.0952965 | + | 0.995449i | \(0.469620\pi\) | |||||||
\(908\) | −229.729 | + | 40.5075i | −0.253006 | + | 0.0446117i | ||||
\(909\) | −631.581 | + | 880.181i | −0.694809 | + | 0.968296i | ||||
\(910\) | −0.0399701 | + | 0.226682i | −4.39232e−5 | + | 0.000249101i | ||||
\(911\) | 83.5109 | + | 166.284i | 0.0916695 | + | 0.182529i | 0.934795 | − | 0.355188i | \(-0.115583\pi\) |
−0.843125 | + | 0.537717i | \(0.819287\pi\) | |||||||
\(912\) | 280.503 | + | 22.0637i | 0.307569 | + | 0.0241926i | ||||
\(913\) | −67.0276 | − | 7.83440i | −0.0734146 | − | 0.00858094i | ||||
\(914\) | 50.8163 | + | 77.2624i | 0.0555977 | + | 0.0845322i | ||||
\(915\) | −0.324437 | − | 0.283665i | −0.000354576 | − | 0.000310016i | ||||
\(916\) | 40.3774 | + | 134.870i | 0.0440801 | + | 0.147238i | ||||
\(917\) | −679.035 | − | 392.041i | −0.740496 | − | 0.427525i | ||||
\(918\) | 239.268 | + | 28.6403i | 0.260641 | + | 0.0311985i | ||||
\(919\) | 247.237 | + | 428.227i | 0.269029 | + | 0.465971i | 0.968611 | − | 0.248581i | \(-0.0799641\pi\) |
−0.699583 | + | 0.714552i | \(0.746631\pi\) | |||||||
\(920\) | −0.232387 | − | 0.219246i | −0.000252595 | − | 0.000238311i | ||||
\(921\) | −381.399 | + | 985.133i | −0.414114 | + | 1.06963i | ||||
\(922\) | −60.7089 | − | 1042.33i | −0.0658448 | − | 1.13051i | ||||
\(923\) | 672.764 | − | 290.202i | 0.728888 | − | 0.314412i | ||||
\(924\) | 290.529 | − | 27.9877i | 0.314426 | − | 0.0302897i | ||||
\(925\) | 12.4633 | − | 213.987i | 0.0134738 | − | 0.231337i | ||||
\(926\) | 179.160 | + | 492.239i | 0.193478 | + | 0.531575i | ||||
\(927\) | −380.039 | − | 989.775i | −0.409966 | − | 1.06772i | ||||
\(928\) | −15.0440 | − | 5.47558i | −0.0162113 | − | 0.00590041i | ||||
\(929\) | 416.983 | + | 179.869i | 0.448851 | + | 0.193615i | 0.608493 | − | 0.793560i | \(-0.291775\pi\) |
−0.159641 | + | 0.987175i | \(0.551034\pi\) | |||||||
\(930\) | −0.0835630 | − | 0.387503i | −8.98527e−5 | − | 0.000416670i | ||||
\(931\) | −874.561 | + | 207.275i | −0.939378 | + | 0.222637i | ||||
\(932\) | 113.344 | + | 478.236i | 0.121614 | + | 0.513128i | ||||
\(933\) | 583.862 | + | 644.607i | 0.625790 | + | 0.690897i | ||||
\(934\) | 417.192 | − | 967.160i | 0.446672 | − | 1.03550i | ||||
\(935\) | −0.294135 | + | 0.808128i | −0.000314582 | + | 0.000864308i | ||||
\(936\) | −67.2056 | + | 121.267i | −0.0718008 | + | 0.129559i | ||||
\(937\) | −717.351 | + | 261.094i | −0.765582 | + | 0.278649i | −0.695147 | − | 0.718867i | \(-0.744661\pi\) |
−0.0704349 | + | 0.997516i | \(0.522439\pi\) | |||||||
\(938\) | 361.218 | + | 21.0386i | 0.385094 | + | 0.0224292i | ||||
\(939\) | −1652.77 | − | 753.122i | −1.76014 | − | 0.802047i | ||||
\(940\) | 0.458114 | + | 1.06203i | 0.000487355 | + | 0.00112982i | ||||
\(941\) | −608.365 | + | 35.4332i | −0.646509 | + | 0.0376549i | −0.378267 | − | 0.925697i | \(-0.623480\pi\) |
−0.268242 | + | 0.963351i | \(0.586443\pi\) | |||||||
\(942\) | 1.54764 | + | 9.95593i | 0.00164293 | + | 0.0105689i | ||||
\(943\) | −85.2731 | + | 90.3842i | −0.0904275 | + | 0.0958476i | ||||
\(944\) | 43.2523 | − | 24.9717i | 0.0458181 | − | 0.0264531i | ||||
\(945\) | 0.773605 | − | 0.229263i | 0.000818629 | − | 0.000242606i | ||||
\(946\) | −531.389 | + | 920.392i | −0.561722 | + | 0.972931i | ||||
\(947\) | 1282.92 | − | 384.081i | 1.35472 | − | 0.405576i | 0.474546 | − | 0.880231i | \(-0.342612\pi\) |
0.880172 | + | 0.474654i | \(0.157427\pi\) | |||||||
\(948\) | −242.839 | − | 711.874i | −0.256159 | − | 0.750922i | ||||
\(949\) | −64.8602 | + | 42.6592i | −0.0683459 | + | 0.0449518i | ||||
\(950\) | 96.2397 | − | 823.383i | 0.101305 | − | 0.866719i | ||||
\(951\) | 1581.27 | − | 754.313i | 1.66275 | − | 0.793179i | ||||
\(952\) | −52.1003 | + | 26.1658i | −0.0547272 | + | 0.0274850i | ||||
\(953\) | −219.829 | − | 38.7618i | −0.230670 | − | 0.0406734i | 0.0571180 | − | 0.998367i | \(-0.481809\pi\) |
−0.287788 | + | 0.957694i | \(0.592920\pi\) | |||||||
\(954\) | −543.714 | + | 531.299i | −0.569931 | + | 0.556918i | ||||
\(955\) | 0.279181 | + | 1.58331i | 0.000292336 | + | 0.00165792i | ||||
\(956\) | 182.200 | − | 135.643i | 0.190586 | − | 0.141886i | ||||
\(957\) | −117.105 | + | 47.7161i | −0.122367 | + | 0.0498601i | ||||
\(958\) | −513.240 | − | 544.003i | −0.535741 | − | 0.567853i | ||||
\(959\) | 316.217 | + | 94.6692i | 0.329737 | + | 0.0987166i | ||||
\(960\) | −0.185876 | + | 0.116913i | −0.000193620 | + | 0.000121784i | ||||
\(961\) | 850.920 | − | 99.4583i | 0.885453 | − | 0.103495i | ||||
\(962\) | −42.4504 | − | 50.5904i | −0.0441272 | − | 0.0525887i | ||||
\(963\) | 62.4083 | − | 1534.92i | 0.0648062 | − | 1.59389i | ||||
\(964\) | 438.087 | + | 367.599i | 0.454447 | + | 0.381326i | ||||
\(965\) | 0.728133 | − | 1.10707i | 0.000754542 | − | 0.00114722i | ||||
\(966\) | −122.026 | − | 119.904i | −0.126321 | − | 0.124124i | ||||
\(967\) | −749.917 | + | 1007.31i | −0.775509 | + | 1.04169i | 0.222264 | + | 0.974987i | \(0.428655\pi\) |
−0.997773 | + | 0.0667026i | \(0.978752\pi\) | |||||||
\(968\) | −127.985 | + | 254.840i | −0.132216 | + | 0.263264i | ||||
\(969\) | −229.729 | + | 379.863i | −0.237078 | + | 0.392016i | ||||
\(970\) | −0.0807010 | − | 0.0191265i | −8.31969e−5 | − | 1.97180e-5i | ||||
\(971\) | 213.409i | 0.219783i | 0.993944 | + | 0.109891i | \(0.0350503\pi\) | ||||
−0.993944 | + | 0.109891i | \(0.964950\pi\) | |||||||
\(972\) | 485.542 | + | 21.0925i | 0.499529 | + | 0.0217001i | ||||
\(973\) | 809.067 | 0.831518 | ||||||||
\(974\) | −287.587 | + | 1213.43i | −0.295264 | + | 1.24582i | ||||
\(975\) | 349.535 | + | 211.387i | 0.358497 | + | 0.216807i | ||||
\(976\) | 56.1226 | + | 28.1858i | 0.0575027 | + | 0.0288789i | ||||
\(977\) | −44.8566 | − | 33.3945i | −0.0459126 | − | 0.0341807i | 0.573958 | − | 0.818885i | \(-0.305407\pi\) |
−0.619870 | + | 0.784704i | \(0.712815\pi\) | |||||||
\(978\) | −653.789 | + | 665.359i | −0.668496 | + | 0.680326i | ||||
\(979\) | −1220.76 | − | 802.906i | −1.24695 | − | 0.820129i | ||||
\(980\) | 0.450873 | − | 0.537329i | 0.000460074 | − | 0.000548295i | ||||
\(981\) | −698.030 | + | 1102.97i | −0.711549 | + | 1.12433i | ||||
\(982\) | −27.1215 | + | 22.7577i | −0.0276187 | + | 0.0231748i | ||||
\(983\) | 57.8527 | + | 494.962i | 0.0588532 | + | 0.503522i | 0.990228 | + | 0.139459i | \(0.0445364\pi\) |
−0.931375 | + | 0.364062i | \(0.881390\pi\) | |||||||
\(984\) | 45.4717 | + | 72.2941i | 0.0462111 | + | 0.0734696i | ||||
\(985\) | 0.502441 | − | 1.67827i | 0.000510093 | − | 0.00170383i | ||||
\(986\) | 18.3727 | − | 17.3337i | 0.0186335 | − | 0.0175798i | ||||
\(987\) | 233.703 | + | 573.553i | 0.236781 | + | 0.581107i | ||||
\(988\) | −152.521 | − | 204.871i | −0.154374 | − | 0.207360i | ||||
\(989\) | 613.465 | − | 108.170i | 0.620288 | − | 0.109374i | ||||
\(990\) | −0.468219 | + | 1.67003i | −0.000472948 | + | 0.00168690i | ||||
\(991\) | 60.0093 | − | 340.330i | 0.0605543 | − | 0.343420i | −0.939445 | − | 0.342698i | \(-0.888659\pi\) |
1.00000 | 0.000721894i | \(-0.000229786\pi\) | ||||||||
\(992\) | 25.9264 | + | 51.6236i | 0.0261355 | + | 0.0520400i | ||||
\(993\) | −229.988 | − | 482.126i | −0.231610 | − | 0.485525i | ||||
\(994\) | 617.179 | + | 72.1379i | 0.620905 | + | 0.0725734i | ||||
\(995\) | −1.12716 | − | 1.71376i | −0.00113282 | − | 0.00172238i | ||||
\(996\) | 25.7302 | − | 8.77725i | 0.0258336 | − | 0.00881250i | ||||
\(997\) | 307.272 | + | 1026.36i | 0.308197 | + | 1.02945i | 0.962060 | + | 0.272837i | \(0.0879619\pi\) |
−0.653863 | + | 0.756613i | \(0.726853\pi\) | |||||||
\(998\) | −283.422 | − | 163.634i | −0.283990 | − | 0.163962i | ||||
\(999\) | −92.2817 | + | 212.310i | −0.0923741 | + | 0.212522i |
(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 | 162.3.h.a.65.8 | yes | 324 | |
81.5 | odd | 54 | inner | 162.3.h.a.5.8 | ✓ | 324 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
162.3.h.a.5.8 | ✓ | 324 | 81.5 | odd | 54 | inner | |
162.3.h.a.65.8 | yes | 324 | 1.1 | even | 1 | trivial |