Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [507,2,Mod(4,507)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(507, base_ring=CyclotomicField(78))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("507.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.t (of order \(78\), degree \(24\), 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: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(360\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{78})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{78}]$ |
Embedding invariants
Embedding label | 4.11 | ||
Character | \(\chi\) | \(=\) | 507.4 |
Dual form | 507.2.t.b.127.11 |
$q$-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 \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{78}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.992569 | + | 0.0399992i | 0.701852 | + | 0.0282837i | 0.388627 | − | 0.921395i | \(-0.372950\pi\) |
0.313225 | + | 0.949679i | \(0.398591\pi\) | |||||||
\(3\) | −0.278217 | + | 0.960518i | −0.160629 | + | 0.554555i | ||||
\(4\) | −1.00992 | − | 0.0815293i | −0.504961 | − | 0.0407647i | ||||
\(5\) | −0.620050 | − | 0.235154i | −0.277295 | − | 0.105164i | 0.212037 | − | 0.977262i | \(-0.431990\pi\) |
−0.489332 | + | 0.872098i | \(0.662759\pi\) | |||||||
\(6\) | −0.314570 | + | 0.942252i | −0.128423 | + | 0.384673i | ||||
\(7\) | 1.02980 | + | 2.41704i | 0.389229 | + | 0.913554i | 0.993186 | + | 0.116537i | \(0.0371794\pi\) |
−0.603958 | + | 0.797016i | \(0.706410\pi\) | |||||||
\(8\) | −2.97142 | − | 0.360796i | −1.05056 | − | 0.127560i | ||||
\(9\) | −0.845190 | − | 0.534466i | −0.281730 | − | 0.178155i | ||||
\(10\) | −0.606036 | − | 0.258208i | −0.191646 | − | 0.0816525i | ||||
\(11\) | 1.55666 | + | 2.46166i | 0.469351 | + | 0.742219i | 0.994033 | − | 0.109079i | \(-0.0347902\pi\) |
−0.524682 | + | 0.851298i | \(0.675816\pi\) | |||||||
\(12\) | 0.359288 | − | 0.947365i | 0.103718 | − | 0.273481i | ||||
\(13\) | −3.60478 | + | 0.0747826i | −0.999785 | + | 0.0207410i | ||||
\(14\) | 0.925470 | + | 2.44027i | 0.247342 | + | 0.652188i | ||||
\(15\) | 0.398378 | − | 0.530145i | 0.102861 | − | 0.136883i | ||||
\(16\) | −0.934732 | − | 0.151909i | −0.233683 | − | 0.0379772i | ||||
\(17\) | 0.0646290 | − | 0.0275358i | 0.0156748 | − | 0.00667842i | −0.384115 | − | 0.923285i | \(-0.625493\pi\) |
0.399790 | + | 0.916607i | \(0.369083\pi\) | |||||||
\(18\) | −0.817531 | − | 0.564301i | −0.192694 | − | 0.133007i | ||||
\(19\) | −5.66449 | + | 3.27039i | −1.29952 | + | 0.750279i | −0.980321 | − | 0.197408i | \(-0.936748\pi\) |
−0.319201 | + | 0.947687i | \(0.603414\pi\) | |||||||
\(20\) | 0.607030 | + | 0.288039i | 0.135736 | + | 0.0644076i | ||||
\(21\) | −2.60812 | + | 0.316683i | −0.569137 | + | 0.0691058i | ||||
\(22\) | 1.44663 | + | 2.50563i | 0.308422 | + | 0.534203i | ||||
\(23\) | −3.99049 | + | 6.91173i | −0.832075 | + | 1.44120i | 0.0643152 | + | 0.997930i | \(0.479514\pi\) |
−0.896390 | + | 0.443266i | \(0.853820\pi\) | |||||||
\(24\) | 1.17325 | − | 2.75372i | 0.239489 | − | 0.562101i | ||||
\(25\) | −3.41339 | − | 3.02400i | −0.682678 | − | 0.604800i | ||||
\(26\) | −3.58098 | − | 0.0699611i | −0.702288 | − | 0.0137205i | ||||
\(27\) | 0.748511 | − | 0.663123i | 0.144051 | − | 0.127618i | ||||
\(28\) | −0.842961 | − | 2.52498i | −0.159305 | − | 0.477176i | ||||
\(29\) | 0.0439904 | − | 1.09161i | 0.00816882 | − | 0.202707i | −0.989951 | − | 0.141412i | \(-0.954836\pi\) |
0.998120 | − | 0.0612953i | \(-0.0195231\pi\) | |||||||
\(30\) | 0.416623 | − | 0.510271i | 0.0760647 | − | 0.0931623i | ||||
\(31\) | 3.08701 | + | 3.48452i | 0.554444 | + | 0.625838i | 0.957185 | − | 0.289476i | \(-0.0934810\pi\) |
−0.402741 | + | 0.915314i | \(0.631943\pi\) | |||||||
\(32\) | 4.94379 | + | 1.00928i | 0.873947 | + | 0.178418i | ||||
\(33\) | −2.79756 | + | 0.810323i | −0.486993 | + | 0.141059i | ||||
\(34\) | 0.0652501 | − | 0.0247461i | 0.0111903 | − | 0.00424392i | ||||
\(35\) | −0.0701537 | − | 1.74085i | −0.0118581 | − | 0.294257i | ||||
\(36\) | 0.810001 | + | 0.608677i | 0.135000 | + | 0.101446i | ||||
\(37\) | 5.57663 | − | 1.13848i | 0.916793 | − | 0.187165i | 0.281612 | − | 0.959528i | \(-0.409131\pi\) |
0.635181 | + | 0.772364i | \(0.280926\pi\) | |||||||
\(38\) | −5.75320 | + | 3.01951i | −0.933293 | + | 0.489830i | ||||
\(39\) | 0.931081 | − | 3.48326i | 0.149092 | − | 0.557768i | ||||
\(40\) | 1.75759 | + | 0.922452i | 0.277899 | + | 0.145853i | ||||
\(41\) | 3.72916 | + | 1.08016i | 0.582397 | + | 0.168693i | 0.556322 | − | 0.830967i | \(-0.312212\pi\) |
0.0260747 | + | 0.999660i | \(0.491699\pi\) | |||||||
\(42\) | −2.60140 | + | 0.210007i | −0.401405 | + | 0.0324048i | ||||
\(43\) | 0.0239107 | − | 0.117122i | 0.00364634 | − | 0.0178610i | −0.977927 | − | 0.208948i | \(-0.932996\pi\) |
0.981573 | + | 0.191087i | \(0.0612012\pi\) | |||||||
\(44\) | −1.37141 | − | 2.61300i | −0.206748 | − | 0.393925i | ||||
\(45\) | 0.398378 | + | 0.530145i | 0.0593867 | + | 0.0790294i | ||||
\(46\) | −4.23730 | + | 6.70075i | −0.624756 | + | 0.987972i | ||||
\(47\) | 2.25848 | − | 1.55892i | 0.329433 | − | 0.227391i | −0.391854 | − | 0.920027i | \(-0.628166\pi\) |
0.721287 | + | 0.692636i | \(0.243551\pi\) | |||||||
\(48\) | 0.405970 | − | 0.855564i | 0.0585967 | − | 0.123490i | ||||
\(49\) | 0.0675030 | − | 0.0702781i | 0.00964329 | − | 0.0100397i | ||||
\(50\) | −3.26707 | − | 3.13806i | −0.462033 | − | 0.443789i | ||||
\(51\) | 0.00846775 | + | 0.0697382i | 0.00118572 | + | 0.00976531i | ||||
\(52\) | 3.64664 | + | 0.218370i | 0.505698 | + | 0.0302825i | ||||
\(53\) | 0.332216 | − | 2.73604i | 0.0456334 | − | 0.375824i | −0.951945 | − | 0.306270i | \(-0.900919\pi\) |
0.997578 | − | 0.0695548i | \(-0.0221579\pi\) | |||||||
\(54\) | 0.769473 | − | 0.628255i | 0.104712 | − | 0.0854947i | ||||
\(55\) | −0.386338 | − | 1.89241i | −0.0520938 | − | 0.255172i | ||||
\(56\) | −2.18792 | − | 7.55357i | −0.292373 | − | 1.00939i | ||||
\(57\) | −1.56531 | − | 6.35072i | −0.207331 | − | 0.841174i | ||||
\(58\) | 0.0873271 | − | 1.08174i | 0.0114666 | − | 0.142039i | ||||
\(59\) | 2.03239 | + | 12.5058i | 0.264595 | + | 1.62812i | 0.690488 | + | 0.723344i | \(0.257396\pi\) |
−0.425893 | + | 0.904774i | \(0.640040\pi\) | |||||||
\(60\) | −0.445553 | + | 0.502926i | −0.0575207 | + | 0.0649275i | ||||
\(61\) | 4.57816 | − | 3.44026i | 0.586173 | − | 0.440481i | −0.265828 | − | 0.964020i | \(-0.585645\pi\) |
0.852001 | + | 0.523540i | \(0.175389\pi\) | |||||||
\(62\) | 2.92470 | + | 3.58210i | 0.371437 | + | 0.454927i | ||||
\(63\) | 0.421444 | − | 2.59325i | 0.0530969 | − | 0.326719i | ||||
\(64\) | 6.70564 | + | 1.65279i | 0.838205 | + | 0.206599i | ||||
\(65\) | 2.25273 | + | 0.801308i | 0.279416 | + | 0.0993901i | ||||
\(66\) | −2.80918 | + | 0.692402i | −0.345787 | + | 0.0852287i | ||||
\(67\) | −0.338613 | − | 4.19447i | −0.0413682 | − | 0.512437i | −0.983948 | − | 0.178456i | \(-0.942890\pi\) |
0.942580 | − | 0.333981i | \(-0.108392\pi\) | |||||||
\(68\) | −0.0675152 | + | 0.0225399i | −0.00818742 | + | 0.00273336i | ||||
\(69\) | −5.52862 | − | 5.75590i | −0.665568 | − | 0.692929i | ||||
\(70\) | − | 1.73071i | − | 0.206860i | ||||||
\(71\) | 2.03517 | − | 1.95481i | 0.241530 | − | 0.231993i | −0.562178 | − | 0.827016i | \(-0.690037\pi\) |
0.803709 | + | 0.595023i | \(0.202857\pi\) | |||||||
\(72\) | 2.31858 | + | 1.89306i | 0.273247 | + | 0.223100i | ||||
\(73\) | 0.0695838 | − | 0.132581i | 0.00814416 | − | 0.0155174i | −0.881350 | − | 0.472464i | \(-0.843365\pi\) |
0.889494 | + | 0.456947i | \(0.151057\pi\) | |||||||
\(74\) | 5.58073 | − | 0.906957i | 0.648747 | − | 0.105432i | ||||
\(75\) | 3.85427 | − | 2.43729i | 0.445053 | − | 0.281434i | ||||
\(76\) | 5.98732 | − | 2.84102i | 0.686793 | − | 0.325887i | ||||
\(77\) | −4.34687 | + | 6.29753i | −0.495372 | + | 0.717670i | ||||
\(78\) | 1.06349 | − | 3.42013i | 0.120416 | − | 0.387254i | ||||
\(79\) | −2.14011 | − | 3.10048i | −0.240781 | − | 0.348831i | 0.683899 | − | 0.729577i | \(-0.260283\pi\) |
−0.924680 | + | 0.380745i | \(0.875667\pi\) | |||||||
\(80\) | 0.543859 | + | 0.313997i | 0.0608053 | + | 0.0351059i | ||||
\(81\) | 0.428693 | + | 0.903450i | 0.0476325 | + | 0.100383i | ||||
\(82\) | 3.65824 | + | 1.22130i | 0.403985 | + | 0.134870i | ||||
\(83\) | −0.951144 | + | 3.85894i | −0.104402 | + | 0.423574i | −0.999763 | − | 0.0217661i | \(-0.993071\pi\) |
0.895361 | + | 0.445340i | \(0.146917\pi\) | |||||||
\(84\) | 2.65981 | − | 0.107187i | 0.290209 | − | 0.0116950i | ||||
\(85\) | −0.0465483 | + | 0.00187583i | −0.00504888 | + | 0.000203463i | ||||
\(86\) | 0.0284178 | − | 0.115295i | 0.00306437 | − | 0.0124326i | ||||
\(87\) | 1.03627 | + | 0.345959i | 0.111100 | + | 0.0370907i | ||||
\(88\) | −3.73733 | − | 7.87626i | −0.398401 | − | 0.839613i | ||||
\(89\) | 9.78311 | + | 5.64828i | 1.03701 | + | 0.598717i | 0.918984 | − | 0.394294i | \(-0.129011\pi\) |
0.118023 | + | 0.993011i | \(0.462344\pi\) | |||||||
\(90\) | 0.374213 | + | 0.542141i | 0.0394455 | + | 0.0571466i | ||||
\(91\) | −3.89296 | − | 8.63586i | −0.408093 | − | 0.905284i | ||||
\(92\) | 4.59359 | − | 6.65497i | 0.478915 | − | 0.693828i | ||||
\(93\) | −4.20580 | + | 1.99568i | −0.436122 | + | 0.206942i | ||||
\(94\) | 2.30405 | − | 1.45700i | 0.237645 | − | 0.150278i | ||||
\(95\) | 4.28131 | − | 0.695781i | 0.439253 | − | 0.0713856i | ||||
\(96\) | −2.34488 | + | 4.46780i | −0.239324 | + | 0.455993i | ||||
\(97\) | −14.5015 | − | 11.8401i | −1.47240 | − | 1.20218i | −0.932871 | − | 0.360211i | \(-0.882705\pi\) |
−0.539530 | − | 0.841966i | \(-0.681398\pi\) | |||||||
\(98\) | 0.0698124 | − | 0.0670558i | 0.00705212 | − | 0.00677365i | ||||
\(99\) | − | 2.91255i | − | 0.292723i | ||||||
\(100\) | 3.20071 | + | 3.33229i | 0.320071 | + | 0.333229i | ||||
\(101\) | −1.45537 | + | 0.485872i | −0.144814 | + | 0.0483461i | −0.388151 | − | 0.921596i | \(-0.626886\pi\) |
0.243337 | + | 0.969942i | \(0.421758\pi\) | |||||||
\(102\) | 0.00561536 | + | 0.0695587i | 0.000556003 | + | 0.00688734i | ||||
\(103\) | 6.68561 | − | 1.64785i | 0.658753 | − | 0.162368i | 0.104252 | − | 0.994551i | \(-0.466755\pi\) |
0.554501 | + | 0.832183i | \(0.312909\pi\) | |||||||
\(104\) | 10.7383 | + | 1.07838i | 1.05297 | + | 0.105744i | ||||
\(105\) | 1.69163 | + | 0.416950i | 0.165086 | + | 0.0406901i | ||||
\(106\) | 0.439186 | − | 2.70242i | 0.0426576 | − | 0.262482i | ||||
\(107\) | 6.57404 | + | 8.05174i | 0.635537 | + | 0.778391i | 0.987499 | − | 0.157623i | \(-0.0503830\pi\) |
−0.351963 | + | 0.936014i | \(0.614486\pi\) | |||||||
\(108\) | −0.810001 | + | 0.608677i | −0.0779424 | + | 0.0585699i | ||||
\(109\) | −7.92468 | + | 8.94511i | −0.759046 | + | 0.856786i | −0.993321 | − | 0.115384i | \(-0.963190\pi\) |
0.234275 | + | 0.972170i | \(0.424729\pi\) | |||||||
\(110\) | −0.307772 | − | 1.89380i | −0.0293449 | − | 0.180567i | ||||
\(111\) | −0.457988 | + | 5.67320i | −0.0434703 | + | 0.538477i | ||||
\(112\) | −0.595421 | − | 2.41572i | −0.0562620 | − | 0.228264i | ||||
\(113\) | 5.64557 | + | 19.4908i | 0.531090 | + | 1.83354i | 0.552131 | + | 0.833757i | \(0.313815\pi\) |
−0.0210412 | + | 0.999779i | \(0.506698\pi\) | |||||||
\(114\) | −1.29966 | − | 6.36614i | −0.121724 | − | 0.596243i | ||||
\(115\) | 4.09963 | − | 3.34724i | 0.382292 | − | 0.312132i | ||||
\(116\) | −0.133425 | + | 1.09886i | −0.0123882 | + | 0.102026i | ||||
\(117\) | 3.08669 | + | 1.86342i | 0.285365 | + | 0.172274i | ||||
\(118\) | 1.51707 | + | 12.4942i | 0.139657 | + | 1.15018i | ||||
\(119\) | 0.133110 | + | 0.127854i | 0.0122022 | + | 0.0117204i | ||||
\(120\) | −1.37502 | + | 1.43155i | −0.125522 | + | 0.130682i | ||||
\(121\) | 1.07903 | − | 2.27401i | 0.0980938 | − | 0.206728i | ||||
\(122\) | 4.68175 | − | 3.23158i | 0.423865 | − | 0.292573i | ||||
\(123\) | −2.07503 | + | 3.28140i | −0.187100 | + | 0.295874i | ||||
\(124\) | −2.83355 | − | 3.77077i | −0.254461 | − | 0.338626i | ||||
\(125\) | 2.94626 | + | 5.61363i | 0.263521 | + | 0.502098i | ||||
\(126\) | 0.522040 | − | 2.55712i | 0.0465070 | − | 0.227806i | ||||
\(127\) | −6.26926 | + | 0.506107i | −0.556307 | + | 0.0449097i | −0.355423 | − | 0.934705i | \(-0.615663\pi\) |
−0.200883 | + | 0.979615i | \(0.564381\pi\) | |||||||
\(128\) | −3.10340 | − | 0.898910i | −0.274304 | − | 0.0794532i | ||||
\(129\) | 0.105846 | + | 0.0555520i | 0.00931918 | + | 0.00489109i | ||||
\(130\) | 2.20393 | + | 0.885461i | 0.193298 | + | 0.0776600i | ||||
\(131\) | −4.74789 | + | 2.49189i | −0.414825 | + | 0.217717i | −0.659206 | − | 0.751962i | \(-0.729108\pi\) |
0.244381 | + | 0.969679i | \(0.421415\pi\) | |||||||
\(132\) | 2.89138 | − | 0.590280i | 0.251663 | − | 0.0513773i | ||||
\(133\) | −13.7380 | − | 10.3234i | −1.19123 | − | 0.895153i | ||||
\(134\) | −0.168321 | − | 4.17685i | −0.0145407 | − | 0.360825i | ||||
\(135\) | −0.620050 | + | 0.235154i | −0.0533654 | + | 0.0202388i | ||||
\(136\) | −0.201975 | + | 0.0585026i | −0.0173192 | + | 0.00501656i | ||||
\(137\) | 7.02733 | + | 1.43464i | 0.600386 | + | 0.122570i | 0.490599 | − | 0.871386i | \(-0.336778\pi\) |
0.109787 | + | 0.993955i | \(0.464983\pi\) | |||||||
\(138\) | −5.25730 | − | 5.93427i | −0.447531 | − | 0.505159i | ||||
\(139\) | −2.33620 | + | 2.86132i | −0.198154 | + | 0.242694i | −0.864118 | − | 0.503290i | \(-0.832123\pi\) |
0.665964 | + | 0.745984i | \(0.268020\pi\) | |||||||
\(140\) | −0.0710802 | + | 1.76384i | −0.00600737 | + | 0.149071i | ||||
\(141\) | 0.869019 | + | 2.60303i | 0.0731846 | + | 0.219215i | ||||
\(142\) | 2.09824 | − | 1.85888i | 0.176080 | − | 0.155993i | ||||
\(143\) | −5.79550 | − | 8.75733i | −0.484644 | − | 0.732324i | ||||
\(144\) | 0.708837 | + | 0.627974i | 0.0590697 | + | 0.0523312i | ||||
\(145\) | −0.283973 | + | 0.666509i | −0.0235827 | + | 0.0553506i | ||||
\(146\) | 0.0743698 | − | 0.128812i | 0.00615489 | − | 0.0106606i | ||||
\(147\) | 0.0487228 | + | 0.0843905i | 0.00401859 | + | 0.00696041i | ||||
\(148\) | −5.72478 | + | 0.695115i | −0.470574 | + | 0.0571381i | ||||
\(149\) | −8.54961 | − | 4.05684i | −0.700412 | − | 0.332350i | 0.0449691 | − | 0.998988i | \(-0.485681\pi\) |
−0.745381 | + | 0.666639i | \(0.767732\pi\) | |||||||
\(150\) | 3.92312 | − | 2.26501i | 0.320321 | − | 0.184938i | ||||
\(151\) | −2.87137 | − | 1.98197i | −0.233669 | − | 0.161290i | 0.445477 | − | 0.895294i | \(-0.353034\pi\) |
−0.679146 | + | 0.734003i | \(0.737650\pi\) | |||||||
\(152\) | 18.0115 | − | 7.67398i | 1.46093 | − | 0.622442i | ||||
\(153\) | −0.0693407 | − | 0.0112690i | −0.00560586 | − | 0.000911042i | ||||
\(154\) | −4.56646 | + | 6.07686i | −0.367976 | + | 0.489687i | ||||
\(155\) | −1.09470 | − | 2.88650i | −0.0879288 | − | 0.231849i | ||||
\(156\) | −1.22431 | + | 3.44191i | −0.0980230 | + | 0.275573i | ||||
\(157\) | −2.66526 | + | 7.02771i | −0.212711 | + | 0.560872i | −0.998326 | − | 0.0578434i | \(-0.981578\pi\) |
0.785615 | + | 0.618716i | \(0.212347\pi\) | |||||||
\(158\) | −2.00019 | − | 3.16304i | −0.159126 | − | 0.251638i | ||||
\(159\) | 2.53559 | + | 1.08031i | 0.201085 | + | 0.0856745i | ||||
\(160\) | −2.82806 | − | 1.78836i | −0.223578 | − | 0.141382i | ||||
\(161\) | −20.8153 | − | 2.52744i | −1.64048 | − | 0.199190i | ||||
\(162\) | 0.389370 | + | 0.913884i | 0.0305918 | + | 0.0718015i | ||||
\(163\) | 4.60113 | − | 13.7821i | 0.360388 | − | 1.07950i | −0.599802 | − | 0.800149i | \(-0.704754\pi\) |
0.960190 | − | 0.279347i | \(-0.0901178\pi\) | |||||||
\(164\) | −3.67809 | − | 1.39492i | −0.287211 | − | 0.108925i | ||||
\(165\) | 1.92518 | + | 0.155416i | 0.149875 | + | 0.0120992i | ||||
\(166\) | −1.09843 | + | 3.79222i | −0.0852547 | + | 0.294333i | ||||
\(167\) | 6.32972 | + | 0.255079i | 0.489808 | + | 0.0197386i | 0.283942 | − | 0.958841i | \(-0.408358\pi\) |
0.205866 | + | 0.978580i | \(0.433999\pi\) | |||||||
\(168\) | 7.86406 | 0.606725 | ||||||||
\(169\) | 12.9888 | − | 0.539149i | 0.999140 | − | 0.0414730i | ||||
\(170\) | −0.0462775 | −0.00354932 | ||||||||
\(171\) | 6.53548 | + | 0.263371i | 0.499781 | + | 0.0201405i | ||||
\(172\) | −0.0336968 | + | 0.116335i | −0.00256936 | + | 0.00887045i | ||||
\(173\) | −21.8184 | − | 1.76136i | −1.65882 | − | 0.133914i | −0.784782 | − | 0.619772i | \(-0.787225\pi\) |
−0.874037 | + | 0.485859i | \(0.838507\pi\) | |||||||
\(174\) | 1.01473 | + | 0.384838i | 0.0769268 | + | 0.0291745i | ||||
\(175\) | 3.79400 | − | 11.3644i | 0.286799 | − | 0.859068i | ||||
\(176\) | −1.08111 | − | 2.53747i | −0.0814920 | − | 0.191269i | ||||
\(177\) | −12.5775 | − | 1.52719i | −0.945383 | − | 0.114790i | ||||
\(178\) | 9.48448 | + | 5.99762i | 0.710892 | + | 0.449541i | ||||
\(179\) | 5.13461 | + | 2.18765i | 0.383779 | + | 0.163513i | 0.575235 | − | 0.817988i | \(-0.304911\pi\) |
−0.191456 | + | 0.981501i | \(0.561321\pi\) | |||||||
\(180\) | −0.359109 | − | 0.567885i | −0.0267664 | − | 0.0423276i | ||||
\(181\) | −8.79165 | + | 23.1817i | −0.653478 | + | 1.72308i | 0.0365848 | + | 0.999331i | \(0.488352\pi\) |
−0.690063 | + | 0.723749i | \(0.742417\pi\) | |||||||
\(182\) | −3.51860 | − | 8.72740i | −0.260816 | − | 0.646918i | ||||
\(183\) | 2.03071 | + | 5.35455i | 0.150115 | + | 0.395819i | ||||
\(184\) | 14.3511 | − | 19.0979i | 1.05798 | − | 1.40792i | ||||
\(185\) | −3.72551 | − | 0.605454i | −0.273905 | − | 0.0445139i | ||||
\(186\) | −4.25438 | + | 1.81262i | −0.311946 | + | 0.132908i | ||||
\(187\) | 0.168389 | + | 0.116231i | 0.0123138 | + | 0.00849963i | ||||
\(188\) | −2.40799 | + | 1.39025i | −0.175621 | + | 0.101395i | ||||
\(189\) | 2.37361 | + | 1.12629i | 0.172655 | + | 0.0819257i | ||||
\(190\) | 4.27733 | − | 0.519361i | 0.310310 | − | 0.0376784i | ||||
\(191\) | 10.5088 | + | 18.2018i | 0.760389 | + | 1.31703i | 0.942650 | + | 0.333783i | \(0.108325\pi\) |
−0.182261 | + | 0.983250i | \(0.558341\pi\) | |||||||
\(192\) | −3.45316 | + | 5.98105i | −0.249211 | + | 0.431645i | ||||
\(193\) | 9.89189 | − | 23.2171i | 0.712034 | − | 1.67121i | −0.0288602 | − | 0.999583i | \(-0.509188\pi\) |
0.740894 | − | 0.671622i | \(-0.234402\pi\) | |||||||
\(194\) | −13.9201 | − | 12.3321i | −0.999405 | − | 0.885396i | ||||
\(195\) | −1.39642 | + | 1.94085i | −0.0999996 | + | 0.138987i | ||||
\(196\) | −0.0739025 | + | 0.0654719i | −0.00527875 | + | 0.00467656i | ||||
\(197\) | −3.96291 | − | 11.8704i | −0.282345 | − | 0.845728i | −0.990235 | − | 0.139405i | \(-0.955481\pi\) |
0.707890 | − | 0.706323i | \(-0.249647\pi\) | |||||||
\(198\) | 0.116500 | − | 2.89091i | 0.00827927 | − | 0.205448i | ||||
\(199\) | 9.65077 | − | 11.8200i | 0.684125 | − | 0.837901i | −0.309469 | − | 0.950909i | \(-0.600151\pi\) |
0.993594 | + | 0.113009i | \(0.0360488\pi\) | |||||||
\(200\) | 9.05156 | + | 10.2171i | 0.640042 | + | 0.722458i | ||||
\(201\) | 4.12308 | + | 0.841732i | 0.290819 | + | 0.0593712i | ||||
\(202\) | −1.46398 | + | 0.424048i | −0.103006 | + | 0.0298359i | ||||
\(203\) | 2.68376 | − | 1.01782i | 0.188363 | − | 0.0714368i | ||||
\(204\) | −0.00286606 | − | 0.0711205i | −0.000200664 | − | 0.00497943i | ||||
\(205\) | −2.05826 | − | 1.54668i | −0.143755 | − | 0.108025i | ||||
\(206\) | 6.70184 | − | 1.36819i | 0.466939 | − | 0.0953263i | ||||
\(207\) | 7.06681 | − | 3.70895i | 0.491177 | − | 0.257790i | ||||
\(208\) | 3.38086 | + | 0.477695i | 0.234421 | + | 0.0331222i | ||||
\(209\) | −16.8683 | − | 8.85316i | −1.16680 | − | 0.612386i | ||||
\(210\) | 1.66238 | + | 0.481515i | 0.114715 | + | 0.0332277i | ||||
\(211\) | −3.02030 | + | 0.243824i | −0.207926 | + | 0.0167855i | −0.183991 | − | 0.982928i | \(-0.558902\pi\) |
−0.0239353 | + | 0.999714i | \(0.507620\pi\) | |||||||
\(212\) | −0.558580 | + | 2.73610i | −0.0383634 | + | 0.187916i | ||||
\(213\) | 1.31141 | + | 2.49868i | 0.0898562 | + | 0.171207i | ||||
\(214\) | 6.20313 | + | 8.25486i | 0.424037 | + | 0.564291i | ||||
\(215\) | −0.0423675 | + | 0.0669989i | −0.00288944 | + | 0.00456929i | ||||
\(216\) | −2.46339 | + | 1.70036i | −0.167613 | + | 0.115695i | ||||
\(217\) | −5.24319 | + | 11.0498i | −0.355931 | + | 0.750109i | ||||
\(218\) | −8.22358 | + | 8.56166i | −0.556971 | + | 0.579869i | ||||
\(219\) | 0.107987 | + | 0.103723i | 0.00729707 | + | 0.00700893i | ||||
\(220\) | 0.235884 | + | 1.94268i | 0.0159033 | + | 0.130976i | ||||
\(221\) | −0.230914 | + | 0.104094i | −0.0155329 | + | 0.00700209i | ||||
\(222\) | −0.681508 | + | 5.61272i | −0.0457398 | + | 0.376701i | ||||
\(223\) | −19.0464 | + | 15.5509i | −1.27544 | + | 1.04137i | −0.278726 | + | 0.960371i | \(0.589912\pi\) |
−0.996715 | + | 0.0809947i | \(0.974190\pi\) | |||||||
\(224\) | 2.65166 | + | 12.9887i | 0.177171 | + | 0.867843i | ||||
\(225\) | 1.26874 | + | 4.38019i | 0.0845826 | + | 0.292013i | ||||
\(226\) | 4.82400 | + | 19.5717i | 0.320888 | + | 1.30189i | ||||
\(227\) | 1.12645 | − | 13.9536i | 0.0747651 | − | 0.926133i | −0.845281 | − | 0.534322i | \(-0.820567\pi\) |
0.920046 | − | 0.391810i | \(-0.128151\pi\) | |||||||
\(228\) | 1.06307 | + | 6.54135i | 0.0704037 | + | 0.433212i | ||||
\(229\) | −18.0316 | + | 20.3534i | −1.19156 | + | 1.34499i | −0.267121 | + | 0.963663i | \(0.586072\pi\) |
−0.924439 | + | 0.381330i | \(0.875466\pi\) | |||||||
\(230\) | 4.20305 | − | 3.15838i | 0.277141 | − | 0.208258i | ||||
\(231\) | −4.83952 | − | 5.92733i | −0.318417 | − | 0.389990i | ||||
\(232\) | −0.524563 | + | 3.22776i | −0.0344392 | + | 0.211913i | ||||
\(233\) | 7.01723 | + | 1.72959i | 0.459714 | + | 0.113309i | 0.462370 | − | 0.886687i | \(-0.346999\pi\) |
−0.00265577 | + | 0.999996i | \(0.500845\pi\) | |||||||
\(234\) | 2.98922 | + | 1.97304i | 0.195411 | + | 0.128982i | ||||
\(235\) | −1.76696 | + | 0.435516i | −0.115264 | + | 0.0284099i | ||||
\(236\) | −1.03297 | − | 12.7956i | −0.0672404 | − | 0.832922i | ||||
\(237\) | 3.57348 | − | 1.19300i | 0.232123 | − | 0.0774939i | ||||
\(238\) | 0.127007 | + | 0.132228i | 0.00823264 | + | 0.00857108i | ||||
\(239\) | 22.6744i | 1.46669i | 0.679858 | + | 0.733344i | \(0.262041\pi\) | ||||
−0.679858 | + | 0.733344i | \(0.737959\pi\) | |||||||
\(240\) | −0.452911 | + | 0.435027i | −0.0292353 | + | 0.0280809i | ||||
\(241\) | 15.0011 | + | 12.2480i | 0.966304 | + | 0.788963i | 0.977492 | − | 0.210974i | \(-0.0676637\pi\) |
−0.0111873 | + | 0.999937i | \(0.503561\pi\) | |||||||
\(242\) | 1.16197 | − | 2.21395i | 0.0746944 | − | 0.142318i | ||||
\(243\) | −0.987050 | + | 0.160411i | −0.0633193 | + | 0.0102904i | ||||
\(244\) | −4.90407 | + | 3.10114i | −0.313951 | + | 0.198530i | ||||
\(245\) | −0.0583814 | + | 0.0277023i | −0.00372985 | + | 0.00176984i | ||||
\(246\) | −2.19087 | + | 3.17402i | −0.139685 | + | 0.202368i | ||||
\(247\) | 20.1746 | − | 12.2126i | 1.28368 | − | 0.777071i | ||||
\(248\) | −7.91561 | − | 11.4677i | −0.502642 | − | 0.728203i | ||||
\(249\) | −3.44196 | − | 1.98722i | −0.218125 | − | 0.125935i | ||||
\(250\) | 2.69982 | + | 5.68976i | 0.170752 | + | 0.359852i | ||||
\(251\) | −14.5175 | − | 4.84666i | −0.916337 | − | 0.305918i | −0.180892 | − | 0.983503i | \(-0.557899\pi\) |
−0.735445 | + | 0.677585i | \(0.763027\pi\) | |||||||
\(252\) | −0.637051 | + | 2.58462i | −0.0401305 | + | 0.162816i | ||||
\(253\) | −23.2262 | + | 0.935983i | −1.46022 | + | 0.0588448i | ||||
\(254\) | −6.24291 | + | 0.251581i | −0.391715 | + | 0.0157856i | ||||
\(255\) | 0.0111488 | − | 0.0452324i | 0.000698164 | − | 0.00283256i | ||||
\(256\) | −16.1462 | − | 5.39039i | −1.00914 | − | 0.336899i | ||||
\(257\) | 7.38067 | + | 15.5544i | 0.460394 | + | 0.970259i | 0.992346 | + | 0.123485i | \(0.0394071\pi\) |
−0.531953 | + | 0.846774i | \(0.678542\pi\) | |||||||
\(258\) | 0.102837 | + | 0.0593730i | 0.00640235 | + | 0.00369640i | ||||
\(259\) | 8.49457 | + | 12.3065i | 0.527827 | + | 0.764690i | ||||
\(260\) | −2.20975 | − | 0.992922i | −0.137043 | − | 0.0615784i | ||||
\(261\) | −0.620609 | + | 0.899108i | −0.0384147 | + | 0.0556534i | ||||
\(262\) | −4.81228 | + | 2.28346i | −0.297304 | + | 0.141072i | ||||
\(263\) | 19.5336 | − | 12.3523i | 1.20449 | − | 0.761674i | 0.227257 | − | 0.973835i | \(-0.427024\pi\) |
0.977235 | + | 0.212161i | \(0.0680500\pi\) | |||||||
\(264\) | 8.60509 | − | 1.39846i | 0.529606 | − | 0.0860694i | ||||
\(265\) | −0.849382 | + | 1.61836i | −0.0521771 | + | 0.0994152i | ||||
\(266\) | −13.2229 | − | 10.7962i | −0.810750 | − | 0.661957i | ||||
\(267\) | −8.14711 | + | 7.82540i | −0.498595 | + | 0.478907i | ||||
\(268\) | 4.26370i | 0.260447i | ||||||||
\(269\) | 1.18054 | + | 1.22907i | 0.0719789 | + | 0.0749380i | 0.756218 | − | 0.654320i | \(-0.227045\pi\) |
−0.684239 | + | 0.729258i | \(0.739865\pi\) | |||||||
\(270\) | −0.624848 | + | 0.208605i | −0.0380271 | + | 0.0126953i | ||||
\(271\) | −0.957897 | − | 11.8657i | −0.0581881 | − | 0.720789i | −0.958417 | − | 0.285372i | \(-0.907883\pi\) |
0.900229 | − | 0.435417i | \(-0.143399\pi\) | |||||||
\(272\) | −0.0645937 | + | 0.0159209i | −0.00391657 | + | 0.000965348i | ||||
\(273\) | 9.37799 | − | 1.33661i | 0.567582 | − | 0.0808954i | ||||
\(274\) | 6.91773 | + | 1.70507i | 0.417915 | + | 0.103007i | ||||
\(275\) | 2.13057 | − | 13.1099i | 0.128478 | − | 0.790560i | ||||
\(276\) | 5.11420 | + | 6.26376i | 0.307839 | + | 0.377034i | ||||
\(277\) | 10.9926 | − | 8.26038i | 0.660480 | − | 0.496318i | −0.216851 | − | 0.976205i | \(-0.569579\pi\) |
0.877331 | + | 0.479886i | \(0.159322\pi\) | |||||||
\(278\) | −2.43329 | + | 2.74661i | −0.145939 | + | 0.164731i | ||||
\(279\) | −0.746758 | − | 4.59498i | −0.0447072 | − | 0.275095i | ||||
\(280\) | −0.419633 | + | 5.19809i | −0.0250779 | + | 0.310645i | ||||
\(281\) | 1.80718 | + | 7.33203i | 0.107808 | + | 0.437392i | 0.999895 | − | 0.0144698i | \(-0.00460603\pi\) |
−0.892088 | + | 0.451862i | \(0.850760\pi\) | |||||||
\(282\) | 0.758442 | + | 2.61845i | 0.0451646 | + | 0.155926i | ||||
\(283\) | −4.96979 | − | 24.3437i | −0.295423 | − | 1.44708i | −0.808378 | − | 0.588664i | \(-0.799654\pi\) |
0.512954 | − | 0.858416i | \(-0.328551\pi\) | |||||||
\(284\) | −2.21474 | + | 1.80828i | −0.131420 | + | 0.107302i | ||||
\(285\) | −0.522825 | + | 4.30585i | −0.0309695 | + | 0.255057i | ||||
\(286\) | −5.40215 | − | 8.92406i | −0.319436 | − | 0.527691i | ||||
\(287\) | 1.22950 | + | 10.1259i | 0.0725753 | + | 0.597711i | ||||
\(288\) | −3.63902 | − | 3.49532i | −0.214431 | − | 0.205964i | ||||
\(289\) | −11.7729 | + | 12.2569i | −0.692523 | + | 0.720993i | ||||
\(290\) | −0.308523 | + | 0.650197i | −0.0181171 | + | 0.0381809i | ||||
\(291\) | 15.4072 | − | 10.6348i | 0.903184 | − | 0.623423i | ||||
\(292\) | −0.0810834 | + | 0.128223i | −0.00474505 | + | 0.00750369i | ||||
\(293\) | 2.00204 | + | 2.66423i | 0.116960 | + | 0.155646i | 0.854126 | − | 0.520066i | \(-0.174093\pi\) |
−0.737166 | + | 0.675712i | \(0.763836\pi\) | |||||||
\(294\) | 0.0449852 | + | 0.0857122i | 0.00262359 | + | 0.00499884i | ||||
\(295\) | 1.68061 | − | 8.23215i | 0.0978487 | − | 0.479294i | ||||
\(296\) | −16.9813 | + | 1.37087i | −0.987016 | + | 0.0796802i | ||||
\(297\) | 2.79756 | + | 0.810323i | 0.162331 | + | 0.0470197i | ||||
\(298\) | −8.32381 | − | 4.36867i | −0.482185 | − | 0.253070i | ||||
\(299\) | 13.8679 | − | 25.2137i | 0.802004 | − | 1.45814i | ||||
\(300\) | −4.09122 | + | 2.14724i | −0.236207 | + | 0.123971i | ||||
\(301\) | 0.307712 | − | 0.0628198i | 0.0177362 | − | 0.00362087i | ||||
\(302\) | −2.77076 | − | 2.08209i | −0.159439 | − | 0.119811i | ||||
\(303\) | −0.0617811 | − | 1.53308i | −0.00354923 | − | 0.0880733i | ||||
\(304\) | 5.79158 | − | 2.19646i | 0.332170 | − | 0.125975i | ||||
\(305\) | −3.64768 | + | 1.05656i | −0.208866 | + | 0.0604986i | ||||
\(306\) | −0.0683747 | − | 0.0139588i | −0.00390872 | − | 0.000797971i | ||||
\(307\) | 9.80588 | + | 11.0686i | 0.559651 | + | 0.631716i | 0.958429 | − | 0.285332i | \(-0.0921039\pi\) |
−0.398777 | + | 0.917048i | \(0.630565\pi\) | |||||||
\(308\) | 4.90343 | − | 6.00562i | 0.279399 | − | 0.342202i | ||||
\(309\) | −0.277259 | + | 6.88011i | −0.0157727 | + | 0.391396i | ||||
\(310\) | −0.971112 | − | 2.90884i | −0.0551555 | − | 0.165211i | ||||
\(311\) | −22.3146 | + | 19.7690i | −1.26535 | + | 1.12100i | −0.278310 | + | 0.960491i | \(0.589774\pi\) |
−0.987035 | + | 0.160507i | \(0.948687\pi\) | |||||||
\(312\) | −4.02338 | + | 10.0143i | −0.227779 | + | 0.566947i | ||||
\(313\) | −4.60777 | − | 4.08213i | −0.260447 | − | 0.230736i | 0.522786 | − | 0.852464i | \(-0.324893\pi\) |
−0.783233 | + | 0.621728i | \(0.786431\pi\) | |||||||
\(314\) | −2.92656 | + | 6.86888i | −0.165155 | + | 0.387633i | ||||
\(315\) | −0.871129 | + | 1.50884i | −0.0490826 | + | 0.0850135i | ||||
\(316\) | 1.90856 | + | 3.30573i | 0.107365 | + | 0.185962i | ||||
\(317\) | 3.73078 | − | 0.452999i | 0.209541 | − | 0.0254429i | −0.0150927 | − | 0.999886i | \(-0.504804\pi\) |
0.224634 | + | 0.974443i | \(0.427881\pi\) | |||||||
\(318\) | 2.47354 | + | 1.17371i | 0.138709 | + | 0.0658183i | ||||
\(319\) | 2.75566 | − | 1.59098i | 0.154287 | − | 0.0890777i | ||||
\(320\) | −3.76917 | − | 2.60167i | −0.210703 | − | 0.145438i | ||||
\(321\) | −9.56286 | + | 4.07435i | −0.533747 | + | 0.227408i | ||||
\(322\) | −20.5595 | − | 3.34125i | −1.14574 | − | 0.186201i | ||||
\(323\) | −0.276037 | + | 0.367338i | −0.0153591 | + | 0.0204393i | ||||
\(324\) | −0.359288 | − | 0.947365i | −0.0199605 | − | 0.0526314i | ||||
\(325\) | 12.5306 | + | 10.6456i | 0.695075 | + | 0.590510i | ||||
\(326\) | 5.11821 | − | 13.4956i | 0.283471 | − | 0.747453i | ||||
\(327\) | −6.38716 | − | 10.1005i | −0.353211 | − | 0.558558i | ||||
\(328\) | −10.6912 | − | 4.55508i | −0.590321 | − | 0.251512i | ||||
\(329\) | 6.09375 | + | 3.85345i | 0.335959 | + | 0.212448i | ||||
\(330\) | 1.90466 | + | 0.231267i | 0.104848 | + | 0.0127308i | ||||
\(331\) | 2.38965 | + | 5.60872i | 0.131347 | + | 0.308283i | 0.972648 | − | 0.232284i | \(-0.0746199\pi\) |
−0.841301 | + | 0.540567i | \(0.818210\pi\) | |||||||
\(332\) | 1.27520 | − | 3.81968i | 0.0699856 | − | 0.209632i | ||||
\(333\) | −5.32179 | − | 2.01829i | −0.291632 | − | 0.110602i | ||||
\(334\) | 6.27248 | + | 0.506367i | 0.343215 | + | 0.0277072i | ||||
\(335\) | −0.776390 | + | 2.68041i | −0.0424187 | + | 0.146446i | ||||
\(336\) | 2.48600 | + | 0.100182i | 0.135622 | + | 0.00546539i | ||||
\(337\) | −20.3151 | −1.10663 | −0.553317 | − | 0.832970i | \(-0.686638\pi\) | ||||
−0.553317 | + | 0.832970i | \(0.686638\pi\) | |||||||
\(338\) | 12.9139 | − | 0.0156010i | 0.702421 | − | 0.000848583i | ||||
\(339\) | −20.2919 | −1.10211 | ||||||||
\(340\) | 0.0471631 | + | 0.00190061i | 0.00255778 | + | 0.000103075i | ||||
\(341\) | −3.77227 | + | 13.0234i | −0.204280 | + | 0.705257i | ||||
\(342\) | 6.47638 | + | 0.522827i | 0.350202 | + | 0.0282713i | ||||
\(343\) | 17.4352 | + | 6.61229i | 0.941411 | + | 0.357030i | ||||
\(344\) | −0.113306 | + | 0.339392i | −0.00610904 | + | 0.0182988i | ||||
\(345\) | 2.07450 | + | 4.86902i | 0.111687 | + | 0.262139i | ||||
\(346\) | −21.5858 | − | 2.62099i | −1.16046 | − | 0.140905i | ||||
\(347\) | −19.4545 | − | 12.3023i | −1.04437 | − | 0.660420i | −0.101930 | − | 0.994792i | \(-0.532502\pi\) |
−0.942441 | + | 0.334371i | \(0.891476\pi\) | |||||||
\(348\) | −1.01835 | − | 0.433878i | −0.0545893 | − | 0.0232583i | ||||
\(349\) | 17.6185 | + | 27.8614i | 0.943097 | + | 1.49139i | 0.869401 | + | 0.494108i | \(0.164505\pi\) |
0.0736965 | + | 0.997281i | \(0.476520\pi\) | |||||||
\(350\) | 4.22037 | − | 11.1282i | 0.225588 | − | 0.594827i | ||||
\(351\) | −2.64862 | + | 2.44638i | −0.141373 | + | 0.130578i | ||||
\(352\) | 5.21130 | + | 13.7411i | 0.277763 | + | 0.732401i | ||||
\(353\) | 13.1494 | − | 17.4986i | 0.699869 | − | 0.931357i | −0.299875 | − | 0.953979i | \(-0.596945\pi\) |
0.999744 | + | 0.0226217i | \(0.00720131\pi\) | |||||||
\(354\) | −12.4229 | − | 2.01893i | −0.660272 | − | 0.107305i | ||||
\(355\) | −1.72159 | + | 0.733500i | −0.0913724 | + | 0.0389302i | ||||
\(356\) | −9.41968 | − | 6.50193i | −0.499242 | − | 0.344602i | ||||
\(357\) | −0.159840 | + | 0.0922835i | −0.00845961 | + | 0.00488416i | ||||
\(358\) | 5.00895 | + | 2.37678i | 0.264731 | + | 0.125616i | ||||
\(359\) | −10.3188 | + | 1.25293i | −0.544605 | + | 0.0661270i | −0.388216 | − | 0.921568i | \(-0.626909\pi\) |
−0.156389 | + | 0.987695i | \(0.549985\pi\) | |||||||
\(360\) | −0.992475 | − | 1.71902i | −0.0523080 | − | 0.0906002i | ||||
\(361\) | 11.8909 | − | 20.5957i | 0.625838 | − | 1.08398i | ||||
\(362\) | −9.65356 | + | 22.6577i | −0.507380 | + | 1.19086i | ||||
\(363\) | 1.88402 | + | 1.66910i | 0.0988856 | + | 0.0876050i | ||||
\(364\) | 3.22751 | + | 9.03893i | 0.169167 | + | 0.473769i | ||||
\(365\) | −0.0743223 | + | 0.0658438i | −0.00389021 | + | 0.00344642i | ||||
\(366\) | 1.80144 | + | 5.39598i | 0.0941630 | + | 0.282052i | ||||
\(367\) | −1.05414 | + | 26.1582i | −0.0550257 | + | 1.36545i | 0.702053 | + | 0.712125i | \(0.252267\pi\) |
−0.757078 | + | 0.653324i | \(0.773374\pi\) | |||||||
\(368\) | 4.77999 | − | 5.85443i | 0.249174 | − | 0.305183i | ||||
\(369\) | −2.57454 | − | 2.90605i | −0.134025 | − | 0.151283i | ||||
\(370\) | −3.67361 | − | 0.749972i | −0.190982 | − | 0.0389892i | ||||
\(371\) | 6.95523 | − | 2.01461i | 0.361098 | − | 0.104593i | ||||
\(372\) | 4.41024 | − | 1.67258i | 0.228660 | − | 0.0867194i | ||||
\(373\) | 0.910784 | + | 22.6009i | 0.0471586 | + | 1.17023i | 0.833530 | + | 0.552475i | \(0.186316\pi\) |
−0.786371 | + | 0.617755i | \(0.788043\pi\) | |||||||
\(374\) | 0.162489 | + | 0.122102i | 0.00840209 | + | 0.00631376i | ||||
\(375\) | −6.21169 | + | 1.26813i | −0.320770 | + | 0.0654857i | ||||
\(376\) | −7.27334 | + | 3.81735i | −0.375094 | + | 0.196865i | ||||
\(377\) | −0.0769421 | + | 3.93830i | −0.00396272 | + | 0.202833i | ||||
\(378\) | 2.31092 | + | 1.21286i | 0.118861 | + | 0.0623830i | ||||
\(379\) | −5.97397 | − | 1.73038i | −0.306862 | − | 0.0888837i | 0.121214 | − | 0.992626i | \(-0.461321\pi\) |
−0.428076 | + | 0.903743i | \(0.640808\pi\) | |||||||
\(380\) | −4.38052 | + | 0.353632i | −0.224716 | + | 0.0181409i | ||||
\(381\) | 1.25809 | − | 6.16254i | 0.0644540 | − | 0.315717i | ||||
\(382\) | 9.70264 | + | 18.4868i | 0.496430 | + | 0.945869i | ||||
\(383\) | −8.31585 | − | 11.0664i | −0.424920 | − | 0.565466i | 0.535317 | − | 0.844651i | \(-0.320192\pi\) |
−0.960237 | + | 0.279185i | \(0.909936\pi\) | |||||||
\(384\) | 1.72684 | − | 2.73078i | 0.0881224 | − | 0.139354i | ||||
\(385\) | 4.17617 | − | 2.88260i | 0.212837 | − | 0.146911i | ||||
\(386\) | 10.7470 | − | 22.6489i | 0.547010 | − | 1.15280i | ||||
\(387\) | −0.0828068 | + | 0.0862111i | −0.00420931 | + | 0.00438235i | ||||
\(388\) | 13.6800 | + | 13.1399i | 0.694498 | + | 0.667075i | ||||
\(389\) | −2.71950 | − | 22.3971i | −0.137884 | − | 1.13558i | −0.883244 | − | 0.468914i | \(-0.844645\pi\) |
0.745360 | − | 0.666662i | \(-0.232278\pi\) | |||||||
\(390\) | −1.46367 | + | 1.87057i | −0.0741160 | + | 0.0947199i | ||||
\(391\) | −0.0675810 | + | 0.556580i | −0.00341772 | + | 0.0281474i | ||||
\(392\) | −0.225936 | + | 0.184471i | −0.0114115 | + | 0.00931718i | ||||
\(393\) | −1.07255 | − | 5.25372i | −0.0541032 | − | 0.265015i | ||||
\(394\) | −3.45865 | − | 11.9407i | −0.174244 | − | 0.601561i | ||||
\(395\) | 0.597883 | + | 2.42571i | 0.0300828 | + | 0.122051i | ||||
\(396\) | −0.237459 | + | 2.94145i | −0.0119327 | + | 0.147814i | ||||
\(397\) | 2.58321 | + | 15.8951i | 0.129647 | + | 0.797753i | 0.967689 | + | 0.252146i | \(0.0811365\pi\) |
−0.838042 | + | 0.545606i | \(0.816299\pi\) | |||||||
\(398\) | 10.0518 | − | 11.3462i | 0.503853 | − | 0.568733i | ||||
\(399\) | 13.7380 | − | 10.3234i | 0.687758 | − | 0.516817i | ||||
\(400\) | 2.73123 | + | 3.34515i | 0.136562 | + | 0.167258i | ||||
\(401\) | 2.41874 | − | 14.8831i | 0.120786 | − | 0.743225i | −0.854032 | − | 0.520221i | \(-0.825850\pi\) |
0.974817 | − | 0.223004i | \(-0.0715864\pi\) | |||||||
\(402\) | 4.05877 | + | 1.00040i | 0.202433 | + | 0.0498953i | ||||
\(403\) | −11.3886 | − | 12.3301i | −0.567305 | − | 0.614204i | ||||
\(404\) | 1.50942 | − | 0.372038i | 0.0750963 | − | 0.0185096i | ||||
\(405\) | −0.0533609 | − | 0.660993i | −0.00265152 | − | 0.0328450i | ||||
\(406\) | 2.70453 | − | 0.902906i | 0.134224 | − | 0.0448105i | ||||
\(407\) | 11.4835 | + | 11.9556i | 0.569215 | + | 0.592615i | ||||
\(408\) | − | 0.210277i | − | 0.0104102i | ||||||
\(409\) | 6.32123 | − | 6.07163i | 0.312565 | − | 0.300223i | −0.519982 | − | 0.854177i | \(-0.674061\pi\) |
0.832547 | + | 0.553955i | \(0.186882\pi\) | |||||||
\(410\) | −1.98110 | − | 1.61752i | −0.0978395 | − | 0.0798835i | ||||
\(411\) | −3.33313 | + | 6.35074i | −0.164411 | + | 0.313259i | ||||
\(412\) | −6.88629 | + | 1.11913i | −0.339263 | + | 0.0551356i | ||||
\(413\) | −28.1340 | + | 17.7909i | −1.38438 | + | 0.875432i | ||||
\(414\) | 7.16265 | − | 3.39872i | 0.352025 | − | 0.167038i | ||||
\(415\) | 1.49720 | − | 2.16907i | 0.0734948 | − | 0.106476i | ||||
\(416\) | −17.8967 | − | 3.26853i | −0.877460 | − | 0.160253i | ||||
\(417\) | −2.09838 | − | 3.04003i | −0.102758 | − | 0.148871i | ||||
\(418\) | −16.3888 | − | 9.46208i | −0.801603 | − | 0.462806i | ||||
\(419\) | 11.4179 | + | 24.0628i | 0.557802 | + | 1.17554i | 0.965011 | + | 0.262209i | \(0.0844509\pi\) |
−0.407209 | + | 0.913335i | \(0.633498\pi\) | |||||||
\(420\) | −1.67442 | − | 0.559004i | −0.0817034 | − | 0.0272766i | ||||
\(421\) | 8.82212 | − | 35.7927i | 0.429964 | − | 1.74443i | −0.211595 | − | 0.977357i | \(-0.567866\pi\) |
0.641559 | − | 0.767074i | \(-0.278288\pi\) | |||||||
\(422\) | −3.00761 | + | 0.121202i | −0.146408 | + | 0.00590004i | ||||
\(423\) | −2.74203 | + | 0.110500i | −0.133322 | + | 0.00537270i | ||||
\(424\) | −1.97430 | + | 8.01007i | −0.0958807 | + | 0.389003i | ||||
\(425\) | −0.303872 | − | 0.101447i | −0.0147400 | − | 0.00492092i | ||||
\(426\) | 1.20172 | + | 2.53257i | 0.0582234 | + | 0.122703i | ||||
\(427\) | 13.0298 | + | 7.52278i | 0.630558 | + | 0.364053i | ||||
\(428\) | −5.98282 | − | 8.66761i | −0.289190 | − | 0.418965i | ||||
\(429\) | 10.0240 | − | 3.13024i | 0.483962 | − | 0.151130i | ||||
\(430\) | −0.0447326 | + | 0.0648064i | −0.00215720 | + | 0.00312524i | ||||
\(431\) | 22.6361 | − | 10.7409i | 1.09034 | − | 0.517373i | 0.203324 | − | 0.979111i | \(-0.434825\pi\) |
0.887016 | + | 0.461738i | \(0.152774\pi\) | |||||||
\(432\) | −0.800391 | + | 0.506137i | −0.0385089 | + | 0.0243515i | ||||
\(433\) | −4.32493 | + | 0.702870i | −0.207843 | + | 0.0337778i | −0.263441 | − | 0.964675i | \(-0.584857\pi\) |
0.0555983 | + | 0.998453i | \(0.482293\pi\) | |||||||
\(434\) | −5.64621 | + | 10.7580i | −0.271027 | + | 0.516398i | ||||
\(435\) | −0.561188 | − | 0.458196i | −0.0269069 | − | 0.0219688i | ||||
\(436\) | 8.73259 | − | 8.38777i | 0.418215 | − | 0.401701i | ||||
\(437\) | − | 52.2019i | − | 2.49715i | ||||||
\(438\) | 0.103036 | + | 0.107271i | 0.00492323 | + | 0.00512562i | ||||
\(439\) | 27.1580 | − | 9.06667i | 1.29618 | − | 0.432728i | 0.416865 | − | 0.908969i | \(-0.363129\pi\) |
0.879315 | + | 0.476240i | \(0.158001\pi\) | |||||||
\(440\) | 0.465199 | + | 5.76253i | 0.0221775 | + | 0.274718i | ||||
\(441\) | −0.0946141 | + | 0.0233203i | −0.00450543 | + | 0.00111049i | ||||
\(442\) | −0.233361 | + | 0.0940837i | −0.0110999 | + | 0.00447511i | ||||
\(443\) | 2.61408 | + | 0.644312i | 0.124199 | + | 0.0306122i | 0.300925 | − | 0.953648i | \(-0.402705\pi\) |
−0.176726 | + | 0.984260i | \(0.556551\pi\) | |||||||
\(444\) | 0.925065 | − | 5.69215i | 0.0439016 | − | 0.270138i | ||||
\(445\) | −4.73780 | − | 5.80275i | −0.224593 | − | 0.275077i | ||||
\(446\) | −19.5269 | + | 14.6735i | −0.924624 | + | 0.694810i | ||||
\(447\) | 6.27532 | − | 7.08338i | 0.296813 | − | 0.335032i | ||||
\(448\) | 2.91063 | + | 17.9098i | 0.137514 | + | 0.846159i | ||||
\(449\) | 2.07925 | − | 25.7561i | 0.0981258 | − | 1.21551i | −0.740976 | − | 0.671532i | \(-0.765637\pi\) |
0.839102 | − | 0.543975i | \(-0.183081\pi\) | |||||||
\(450\) | 1.08411 | + | 4.39839i | 0.0511053 | + | 0.207342i | ||||
\(451\) | 3.14604 | + | 10.8614i | 0.148141 | + | 0.511442i | ||||
\(452\) | −4.11251 | − | 20.1444i | −0.193436 | − | 0.947514i | ||||
\(453\) | 2.70258 | − | 2.20659i | 0.126978 | − | 0.103675i | ||||
\(454\) | 1.67621 | − | 13.8048i | 0.0786685 | − | 0.647893i | ||||
\(455\) | 0.383073 | + | 6.27011i | 0.0179587 | + | 0.293947i | ||||
\(456\) | 2.35989 | + | 19.4354i | 0.110512 | + | 0.910146i | ||||
\(457\) | 23.5507 | + | 22.6208i | 1.10166 | + | 1.05815i | 0.997979 | + | 0.0635433i | \(0.0202401\pi\) |
0.103676 | + | 0.994611i | \(0.466939\pi\) | |||||||
\(458\) | −18.7117 | + | 19.4809i | −0.874340 | + | 0.910284i | ||||
\(459\) | 0.0301158 | − | 0.0634678i | 0.00140569 | − | 0.00296242i | ||||
\(460\) | −4.41320 | + | 3.04621i | −0.205766 | + | 0.142030i | ||||
\(461\) | 5.68951 | − | 8.99724i | 0.264987 | − | 0.419043i | −0.686315 | − | 0.727305i | \(-0.740773\pi\) |
0.951302 | + | 0.308261i | \(0.0997471\pi\) | |||||||
\(462\) | −4.56646 | − | 6.07686i | −0.212451 | − | 0.282721i | ||||
\(463\) | −13.5693 | − | 25.8541i | −0.630618 | − | 1.20154i | −0.965775 | − | 0.259380i | \(-0.916482\pi\) |
0.335158 | − | 0.942162i | \(-0.391210\pi\) | |||||||
\(464\) | −0.206945 | + | 1.01368i | −0.00960716 | + | 0.0470590i | ||||
\(465\) | 3.07710 | − | 0.248409i | 0.142697 | − | 0.0115197i | ||||
\(466\) | 6.89590 | + | 1.99742i | 0.319447 | + | 0.0925288i | ||||
\(467\) | −3.83885 | − | 2.01478i | −0.177641 | − | 0.0932331i | 0.373559 | − | 0.927607i | \(-0.378137\pi\) |
−0.551200 | + | 0.834373i | \(0.685830\pi\) | |||||||
\(468\) | −2.96539 | − | 2.13357i | −0.137075 | − | 0.0986242i | ||||
\(469\) | 9.78949 | − | 5.13792i | 0.452037 | − | 0.237247i | ||||
\(470\) | −1.77125 | + | 0.361603i | −0.0817015 | + | 0.0166795i | ||||
\(471\) | −6.00872 | − | 4.51526i | −0.276867 | − | 0.208052i | ||||
\(472\) | −1.52705 | − | 37.8933i | −0.0702880 | − | 1.74418i | ||||
\(473\) | 0.325536 | − | 0.123459i | 0.0149682 | − | 0.00567667i | ||||
\(474\) | 3.59465 | − | 1.04120i | 0.165108 | − | 0.0478240i | ||||
\(475\) | 29.2248 | + | 5.96628i | 1.34092 | + | 0.273752i | ||||
\(476\) | −0.124007 | − | 0.139975i | −0.00568385 | − | 0.00641574i | ||||
\(477\) | −1.74311 | + | 2.13492i | −0.0798114 | + | 0.0977512i | ||||
\(478\) | −0.906958 | + | 22.5059i | −0.0414833 | + | 1.02940i | ||||
\(479\) | −3.59359 | − | 10.7641i | −0.164195 | − | 0.491825i | 0.834007 | − | 0.551753i | \(-0.186041\pi\) |
−0.998203 | + | 0.0599285i | \(0.980913\pi\) | |||||||
\(480\) | 2.50457 | − | 2.21885i | 0.114317 | − | 0.101276i | ||||
\(481\) | −20.0174 | + | 4.52099i | −0.912714 | + | 0.206140i | ||||
\(482\) | 14.3997 | + | 12.7570i | 0.655888 | + | 0.581066i | ||||
\(483\) | 8.21884 | − | 19.2903i | 0.373970 | − | 0.877740i | ||||
\(484\) | −1.27514 | + | 2.20860i | −0.0579608 | + | 0.100391i | ||||
\(485\) | 6.20739 | + | 10.7515i | 0.281863 | + | 0.488201i | ||||
\(486\) | −0.986132 | + | 0.119738i | −0.0447318 | + | 0.00543143i | ||||
\(487\) | 5.12305 | + | 2.43092i | 0.232148 | + | 0.110155i | 0.541213 | − | 0.840885i | \(-0.317965\pi\) |
−0.309066 | + | 0.951041i | \(0.600016\pi\) | |||||||
\(488\) | −14.8449 | + | 8.57068i | −0.671995 | + | 0.387977i | ||||
\(489\) | 11.9578 | + | 8.25388i | 0.540751 | + | 0.373253i | ||||
\(490\) | −0.0590556 | + | 0.0251613i | −0.00266786 | + | 0.00113667i | ||||
\(491\) | 34.9188 | + | 5.67486i | 1.57586 | + | 0.256103i | 0.884548 | − | 0.466450i | \(-0.154467\pi\) |
0.691316 | + | 0.722552i | \(0.257031\pi\) | |||||||
\(492\) | 2.36315 | − | 3.14479i | 0.106539 | − | 0.141778i | ||||
\(493\) | −0.0272154 | − | 0.0717610i | −0.00122572 | − | 0.00323195i | ||||
\(494\) | 20.5132 | − | 11.3149i | 0.922933 | − | 0.509082i | ||||
\(495\) | −0.684899 | + | 1.80593i | −0.0307839 | + | 0.0811705i | ||||
\(496\) | −2.35620 | − | 3.72604i | −0.105797 | − | 0.167304i | ||||
\(497\) | 6.82066 | + | 2.90601i | 0.305949 | + | 0.130353i | ||||
\(498\) | −3.33689 | − | 2.11012i | −0.149530 | − | 0.0945569i | ||||
\(499\) | 33.4075 | + | 4.05640i | 1.49552 | + | 0.181589i | 0.827043 | − | 0.562139i | \(-0.190022\pi\) |
0.668481 | + | 0.743729i | \(0.266945\pi\) | |||||||
\(500\) | −2.51782 | − | 5.90953i | −0.112600 | − | 0.264282i | ||||
\(501\) | −2.00605 | + | 6.00884i | −0.0896235 | + | 0.268455i | ||||
\(502\) | −14.2158 | − | 5.39133i | −0.634481 | − | 0.240627i | ||||
\(503\) | 10.7762 | + | 0.869941i | 0.480485 | + | 0.0387888i | 0.318337 | − | 0.947978i | \(-0.396876\pi\) |
0.162148 | + | 0.986766i | \(0.448158\pi\) | |||||||
\(504\) | −2.18792 | + | 7.55357i | −0.0974577 | + | 0.336463i | ||||
\(505\) | 1.01665 | + | 0.0409698i | 0.0452405 | + | 0.00182313i | ||||
\(506\) | −23.0910 | −1.02652 | ||||||||
\(507\) | −3.09585 | + | 12.6260i | −0.137492 | + | 0.560740i | ||||
\(508\) | 6.37272 | 0.282744 | ||||||||
\(509\) | 34.5375 | + | 1.39181i | 1.53085 | + | 0.0616911i | 0.791306 | − | 0.611420i | \(-0.209401\pi\) |
0.739541 | + | 0.673111i | \(0.235042\pi\) | |||||||
\(510\) | 0.0128752 | − | 0.0444503i | 0.000570123 | − | 0.00196829i | ||||
\(511\) | 0.392110 | + | 0.0316544i | 0.0173459 | + | 0.00140031i | ||||
\(512\) | −9.76858 | − | 3.70473i | −0.431714 | − | 0.163728i | ||||
\(513\) | −2.07126 | + | 6.20417i | −0.0914482 | + | 0.273921i | ||||
\(514\) | 6.70366 | + | 15.7341i | 0.295686 | + | 0.694000i | ||||
\(515\) | −4.53291 | − | 0.550395i | −0.199744 | − | 0.0242533i | ||||
\(516\) | −0.102367 | − | 0.0647328i | −0.00450644 | − | 0.00284970i | ||||
\(517\) | 7.35322 | + | 3.13291i | 0.323394 | + | 0.137785i | ||||
\(518\) | 7.93920 | + | 12.5548i | 0.348828 | + | 0.551628i | ||||
\(519\) | 7.76207 | − | 20.4669i | 0.340717 | − | 0.898397i | ||||
\(520\) | −6.40469 | − | 3.19380i | −0.280864 | − | 0.140057i | ||||
\(521\) | 10.2160 | + | 26.9373i | 0.447570 | + | 1.18014i | 0.949092 | + | 0.314999i | \(0.102004\pi\) |
−0.501522 | + | 0.865145i | \(0.667226\pi\) | |||||||
\(522\) | −0.651961 | + | 0.867602i | −0.0285356 | + | 0.0379739i | ||||
\(523\) | −13.1712 | − | 2.14054i | −0.575938 | − | 0.0935991i | −0.134536 | − | 0.990909i | \(-0.542955\pi\) |
−0.441402 | + | 0.897310i | \(0.645519\pi\) | |||||||
\(524\) | 4.99816 | − | 2.12952i | 0.218346 | − | 0.0930284i | ||||
\(525\) | 9.86016 | + | 6.80598i | 0.430333 | + | 0.297037i | ||||
\(526\) | 19.8825 | − | 11.4792i | 0.866918 | − | 0.500515i | ||||
\(527\) | 0.295460 | + | 0.140197i | 0.0128704 | + | 0.00610709i | ||||
\(528\) | 2.73807 | − | 0.332461i | 0.119159 | − | 0.0144685i | ||||
\(529\) | −20.3480 | − | 35.2438i | −0.884697 | − | 1.53234i | ||||
\(530\) | −0.907803 | + | 1.57236i | −0.0394324 | + | 0.0682990i | ||||
\(531\) | 4.96617 | − | 11.6560i | 0.215513 | − | 0.505829i | ||||
\(532\) | 13.0326 | + | 11.5459i | 0.565035 | + | 0.500577i | ||||
\(533\) | −13.5236 | − | 3.61487i | −0.585770 | − | 0.156578i | ||||
\(534\) | −8.39957 | + | 7.44137i | −0.363485 | + | 0.322020i | ||||
\(535\) | −2.18284 | − | 6.53839i | −0.0943723 | − | 0.282679i | ||||
\(536\) | −0.507187 | + | 12.5857i | −0.0219071 | + | 0.543620i | ||||
\(537\) | −3.52982 | + | 4.32324i | −0.152323 | + | 0.186562i | ||||
\(538\) | 1.12261 | + | 1.26716i | 0.0483990 | + | 0.0546312i | ||||
\(539\) | 0.278080 | + | 0.0567705i | 0.0119778 | + | 0.00244528i | ||||
\(540\) | 0.645374 | − | 0.186935i | 0.0277725 | − | 0.00804440i | ||||
\(541\) | 9.45232 | − | 3.58479i | 0.406387 | − | 0.154122i | −0.142937 | − | 0.989732i | \(-0.545655\pi\) |
0.549324 | + | 0.835610i | \(0.314885\pi\) | |||||||
\(542\) | −0.476161 | − | 11.8158i | −0.0204529 | − | 0.507533i | ||||
\(543\) | −19.8204 | − | 14.8941i | −0.850576 | − | 0.639166i | ||||
\(544\) | 0.347304 | − | 0.0709025i | 0.0148905 | − | 0.00303992i | ||||
\(545\) | 7.01718 | − | 3.68290i | 0.300583 | − | 0.157758i | ||||
\(546\) | 9.36176 | − | 0.951567i | 0.400646 | − | 0.0407233i | ||||
\(547\) | −28.3810 | − | 14.8955i | −1.21348 | − | 0.636885i | −0.268271 | − | 0.963343i | \(-0.586452\pi\) |
−0.945211 | + | 0.326459i | \(0.894145\pi\) | |||||||
\(548\) | −6.98009 | − | 2.02181i | −0.298175 | − | 0.0863674i | ||||
\(549\) | −5.70812 | + | 0.460807i | −0.243617 | + | 0.0196668i | ||||
\(550\) | 2.63913 | − | 12.9273i | 0.112533 | − | 0.551222i | ||||
\(551\) | 3.32081 | + | 6.32728i | 0.141471 | + | 0.269551i | ||||
\(552\) | 14.3511 | + | 19.0979i | 0.610825 | + | 0.812861i | ||||
\(553\) | 5.29008 | − | 8.36560i | 0.224957 | − | 0.355741i | ||||
\(554\) | 11.2413 | − | 7.75930i | 0.477597 | − | 0.329661i | ||||
\(555\) | 1.61805 | − | 3.40997i | 0.0686825 | − | 0.144745i | ||||
\(556\) | 2.59266 | − | 2.69924i | 0.109953 | − | 0.114473i | ||||
\(557\) | −17.5738 | − | 16.8799i | −0.744626 | − | 0.715223i | 0.220967 | − | 0.975281i | \(-0.429079\pi\) |
−0.965593 | + | 0.260058i | \(0.916258\pi\) | |||||||
\(558\) | −0.557413 | − | 4.59071i | −0.0235972 | − | 0.194340i | ||||
\(559\) | −0.0774339 | + | 0.423987i | −0.00327510 | + | 0.0179327i | ||||
\(560\) | −0.198875 | + | 1.63788i | −0.00840399 | + | 0.0692131i | ||||
\(561\) | −0.158491 | + | 0.129404i | −0.00669147 | + | 0.00546342i | ||||
\(562\) | 1.50048 | + | 7.34983i | 0.0632939 | + | 0.310034i | ||||
\(563\) | −1.47106 | − | 5.07869i | −0.0619978 | − | 0.214041i | 0.923538 | − | 0.383506i | \(-0.125283\pi\) |
−0.985536 | + | 0.169464i | \(0.945796\pi\) | |||||||
\(564\) | −0.665418 | − | 2.69971i | −0.0280192 | − | 0.113678i | ||||
\(565\) | 1.08279 | − | 13.4128i | 0.0455535 | − | 0.564282i | ||||
\(566\) | −3.95913 | − | 24.3615i | −0.166415 | − | 1.02399i | ||||
\(567\) | −1.74220 | + | 1.96654i | −0.0731657 | + | 0.0825869i | ||||
\(568\) | −6.75263 | + | 5.07427i | −0.283334 | + | 0.212912i | ||||
\(569\) | 6.32147 | + | 7.74240i | 0.265010 | + | 0.324578i | 0.889918 | − | 0.456120i | \(-0.150761\pi\) |
−0.624908 | + | 0.780698i | \(0.714864\pi\) | |||||||
\(570\) | −0.691171 | + | 4.25294i | −0.0289500 | + | 0.178136i | ||||
\(571\) | −17.9153 | − | 4.41573i | −0.749733 | − | 0.184793i | −0.154107 | − | 0.988054i | \(-0.549250\pi\) |
−0.595626 | + | 0.803262i | \(0.703096\pi\) | |||||||
\(572\) | 5.13903 | + | 9.31672i | 0.214873 | + | 0.389552i | ||||
\(573\) | −20.4068 | + | 5.02984i | −0.852508 | + | 0.210124i | ||||
\(574\) | 0.815340 | + | 10.0998i | 0.0340316 | + | 0.421557i | ||||
\(575\) | 34.5222 | − | 11.5252i | 1.43967 | − | 0.480634i | ||||
\(576\) | −4.78418 | − | 4.98086i | −0.199341 | − | 0.207536i | ||||
\(577\) | 14.6029i | 0.607925i | 0.952684 | + | 0.303963i | \(0.0983098\pi\) | ||||
−0.952684 | + | 0.303963i | \(0.901690\pi\) | |||||||
\(578\) | −12.1757 | + | 11.6949i | −0.506441 | + | 0.486443i | ||||
\(579\) | 19.5484 | + | 15.9608i | 0.812403 | + | 0.663306i | ||||
\(580\) | 0.341131 | − | 0.649970i | 0.0141647 | − | 0.0269885i | ||||
\(581\) | −10.3067 | + | 1.67500i | −0.427594 | + | 0.0694907i | ||||
\(582\) | 15.7181 | − | 9.93950i | 0.651535 | − | 0.412005i | ||||
\(583\) | 7.25236 | − | 3.44129i | 0.300362 | − | 0.142524i | ||||
\(584\) | −0.254597 | + | 0.368847i | −0.0105353 | + | 0.0152630i | ||||
\(585\) | −1.47571 | − | 1.88126i | −0.0610131 | − | 0.0777807i | ||||
\(586\) | 1.88060 | + | 2.72451i | 0.0776867 | + | 0.112549i | ||||
\(587\) | 20.9471 | + | 12.0938i | 0.864580 | + | 0.499165i | 0.865543 | − | 0.500834i | \(-0.166973\pi\) |
−0.000963630 | 1.00000i | \(0.500307\pi\) | ||||||||
\(588\) | −0.0423260 | − | 0.0892001i | −0.00174549 | − | 0.00367855i | ||||
\(589\) | −28.8821 | − | 9.64226i | −1.19007 | − | 0.397302i | ||||
\(590\) | 1.99740 | − | 8.10375i | 0.0822315 | − | 0.333626i | ||||
\(591\) | 12.5042 | − | 0.503904i | 0.514356 | − | 0.0207278i | ||||
\(592\) | −5.38561 | + | 0.217032i | −0.221347 | + | 0.00891998i | ||||
\(593\) | 7.49419 | − | 30.4051i | 0.307750 | − | 1.24859i | −0.589754 | − | 0.807583i | \(-0.700775\pi\) |
0.897504 | − | 0.441006i | \(-0.145378\pi\) | |||||||
\(594\) | 2.74436 | + | 0.916202i | 0.112602 | + | 0.0375922i | ||||
\(595\) | −0.0524696 | − | 0.110577i | −0.00215104 | − | 0.00453323i | ||||
\(596\) | 8.30369 | + | 4.79414i | 0.340132 | + | 0.196376i | ||||
\(597\) | 8.66836 | + | 12.5583i | 0.354772 | + | 0.513976i | ||||
\(598\) | 14.7734 | − | 24.4716i | 0.604130 | − | 1.00072i | ||||
\(599\) | 10.9349 | − | 15.8420i | 0.446790 | − | 0.647286i | −0.533281 | − | 0.845938i | \(-0.679041\pi\) |
0.980070 | + | 0.198652i | \(0.0636564\pi\) | |||||||
\(600\) | −12.3320 | + | 5.85161i | −0.503452 | + | 0.238891i | ||||
\(601\) | 0.482596 | − | 0.305175i | 0.0196855 | − | 0.0124483i | −0.524587 | − | 0.851357i | \(-0.675780\pi\) |
0.544272 | + | 0.838909i | \(0.316806\pi\) | |||||||
\(602\) | 0.307938 | − | 0.0500447i | 0.0125506 | − | 0.00203967i | ||||
\(603\) | −1.95561 | + | 3.72611i | −0.0796386 | + | 0.151739i | ||||
\(604\) | 2.73827 | + | 2.23573i | 0.111419 | + | 0.0909706i | ||||
\(605\) | −1.20380 | + | 1.15626i | −0.0489413 | + | 0.0470088i | ||||
\(606\) | − | 1.52416i | − | 0.0619148i | ||||||
\(607\) | −10.9211 | − | 11.3701i | −0.443274 | − | 0.461497i | 0.461655 | − | 0.887060i | \(-0.347256\pi\) |
−0.904929 | + | 0.425562i | \(0.860076\pi\) | |||||||
\(608\) | −31.3048 | + | 10.4511i | −1.26958 | + | 0.423847i | ||||
\(609\) | 0.230962 | + | 2.86098i | 0.00935906 | + | 0.115933i | ||||
\(610\) | −3.66283 | + | 0.902808i | −0.148304 | + | 0.0365536i | ||||
\(611\) | −8.02474 | + | 5.78844i | −0.324646 | + | 0.234175i | ||||
\(612\) | 0.0691100 | + | 0.0170341i | 0.00279360 | + | 0.000688562i | ||||
\(613\) | −4.84303 | + | 29.8004i | −0.195608 | + | 1.20363i | 0.684557 | + | 0.728959i | \(0.259996\pi\) |
−0.880166 | + | 0.474667i | \(0.842569\pi\) | |||||||
\(614\) | 9.29028 | + | 11.3785i | 0.374925 | + | 0.459200i | ||||
\(615\) | 2.05826 | − | 1.54668i | 0.0829971 | − | 0.0623683i | ||||
\(616\) | 15.1885 | − | 17.1443i | 0.611962 | − | 0.690762i | ||||
\(617\) | −6.47560 | − | 39.8459i | −0.260698 | − | 1.60414i | −0.705635 | − | 0.708576i | \(-0.749338\pi\) |
0.444937 | − | 0.895562i | \(-0.353226\pi\) | |||||||
\(618\) | −0.550397 | + | 6.81789i | −0.0221402 | + | 0.274256i | ||||
\(619\) | 2.37072 | + | 9.61838i | 0.0952872 | + | 0.386595i | 0.999150 | − | 0.0412275i | \(-0.0131269\pi\) |
−0.903863 | + | 0.427823i | \(0.859281\pi\) | |||||||
\(620\) | 0.870232 | + | 3.00439i | 0.0349494 | + | 0.120659i | ||||
\(621\) | 1.59640 | + | 7.81969i | 0.0640614 | + | 0.313793i | ||||
\(622\) | −22.9395 | + | 18.7295i | −0.919791 | + | 0.750986i | ||||
\(623\) | −3.57742 | + | 29.4627i | −0.143326 | + | 1.18040i | ||||
\(624\) | −1.39945 | + | 3.11447i | −0.0560228 | + | 0.124679i | ||||
\(625\) | 2.24162 | + | 18.4614i | 0.0896648 | + | 0.738456i | ||||
\(626\) | −4.41025 | − | 4.23610i | −0.176269 | − | 0.169309i | ||||
\(627\) | 13.1967 | − | 13.7392i | 0.527024 | − | 0.548690i | ||||
\(628\) | 3.26467 | − | 6.88014i | 0.130274 | − | 0.274548i | ||||
\(629\) | 0.329063 | − | 0.227136i | 0.0131206 | − | 0.00905650i | ||||
\(630\) | −0.925008 | + | 1.46278i | −0.0368532 | + | 0.0582787i | ||||
\(631\) | −19.3403 | − | 25.7372i | −0.769924 | − | 1.02458i | −0.998693 | − | 0.0511020i | \(-0.983727\pi\) |
0.228770 | − | 0.973481i | \(-0.426530\pi\) | |||||||
\(632\) | 5.24052 | + | 9.98497i | 0.208457 | + | 0.397181i | ||||
\(633\) | 0.606103 | − | 2.96889i | 0.0240904 | − | 0.118003i | ||||
\(634\) | 3.72118 | − | 0.300404i | 0.147787 | − | 0.0119306i | ||||
\(635\) | 4.00627 | + | 1.16043i | 0.158984 | + | 0.0460502i | ||||
\(636\) | −2.47267 | − | 1.29776i | −0.0980478 | − | 0.0514595i | ||||
\(637\) | −0.238078 | + | 0.258385i | −0.00943298 | + | 0.0102376i | ||||
\(638\) | 2.79882 | − | 1.46893i | 0.110806 | − | 0.0581556i | ||||
\(639\) | −2.76488 | + | 0.564455i | −0.109377 | + | 0.0223295i | ||||
\(640\) | 1.71288 | + | 1.28715i | 0.0677075 | + | 0.0508789i | ||||
\(641\) | −0.0918861 | − | 2.28013i | −0.00362928 | − | 0.0900597i | −0.999988 | − | 0.00480481i | \(-0.998471\pi\) |
0.996359 | − | 0.0852549i | \(-0.0271705\pi\) | |||||||
\(642\) | −9.65476 | + | 3.66157i | −0.381043 | + | 0.144511i | ||||
\(643\) | −8.36321 | + | 2.42243i | −0.329813 | + | 0.0955314i | −0.438993 | − | 0.898491i | \(-0.644665\pi\) |
0.109180 | + | 0.994022i | \(0.465177\pi\) | |||||||
\(644\) | 20.8158 | + | 4.24957i | 0.820257 | + | 0.167457i | ||||
\(645\) | −0.0525663 | − | 0.0593351i | −0.00206980 | − | 0.00233632i | ||||
\(646\) | −0.288679 | + | 0.353567i | −0.0113579 | + | 0.0139109i | ||||
\(647\) | −0.0740413 | + | 1.83732i | −0.00291086 | + | 0.0722323i | −0.999991 | − | 0.00412346i | \(-0.998687\pi\) |
0.997081 | + | 0.0763558i | \(0.0243285\pi\) | |||||||
\(648\) | −0.947864 | − | 2.83920i | −0.0372356 | − | 0.111534i | ||||
\(649\) | −27.6213 | + | 24.4704i | −1.08423 | + | 0.960546i | ||||
\(650\) | 12.0117 | + | 11.0677i | 0.471138 | + | 0.434110i | ||||
\(651\) | −9.15478 | − | 8.11042i | −0.358804 | − | 0.317873i | ||||
\(652\) | −5.77043 | + | 13.5437i | −0.225987 | + | 0.530412i | ||||
\(653\) | −24.6104 | + | 42.6264i | −0.963079 | + | 1.66810i | −0.248388 | + | 0.968661i | \(0.579901\pi\) |
−0.714691 | + | 0.699441i | \(0.753433\pi\) | |||||||
\(654\) | −5.93568 | − | 10.2809i | −0.232104 | − | 0.402015i | ||||
\(655\) | 3.52991 | − | 0.428608i | 0.137925 | − | 0.0167471i | ||||
\(656\) | −3.32168 | − | 1.57616i | −0.129690 | − | 0.0615386i | ||||
\(657\) | −0.129671 | + | 0.0748658i | −0.00505896 | + | 0.00292079i | ||||
\(658\) | 5.89433 | + | 4.06856i | 0.229785 | + | 0.158609i | ||||
\(659\) | 14.3486 | − | 6.11336i | 0.558941 | − | 0.238143i | −0.0939726 | − | 0.995575i | \(-0.529957\pi\) |
0.652914 | + | 0.757432i | \(0.273546\pi\) | |||||||
\(660\) | −1.93161 | − | 0.313917i | −0.0751878 | − | 0.0122192i | ||||
\(661\) | 13.2012 | − | 17.5676i | 0.513468 | − | 0.683302i | −0.466027 | − | 0.884771i | \(-0.654315\pi\) |
0.979495 | + | 0.201469i | \(0.0645714\pi\) | |||||||
\(662\) | 2.14755 | + | 5.66263i | 0.0834669 | + | 0.220084i | ||||
\(663\) | −0.0357396 | − | 0.250757i | −0.00138801 | − | 0.00973861i | ||||
\(664\) | 4.21854 | − | 11.1234i | 0.163711 | − | 0.431670i | ||||
\(665\) | 6.09063 | + | 9.63156i | 0.236185 | + | 0.373496i | ||||
\(666\) | −5.20152 | − | 2.21616i | −0.201555 | − | 0.0858744i | ||||
\(667\) | 7.36938 | + | 4.66011i | 0.285344 | + | 0.180440i | ||||
\(668\) | −6.37173 | − | 0.773668i | −0.246529 | − | 0.0299341i | ||||
\(669\) | −9.63788 | − | 22.6209i | −0.372622 | − | 0.874576i | ||||
\(670\) | −0.877835 | + | 2.62944i | −0.0339137 | + | 0.101584i | ||||
\(671\) | 15.5954 | + | 5.91456i | 0.602054 | + | 0.228329i | ||||
\(672\) | −13.2136 | − | 1.06671i | −0.509726 | − | 0.0411493i | ||||
\(673\) | 9.82658 | − | 33.9253i | 0.378787 | − | 1.30772i | −0.514212 | − | 0.857663i | \(-0.671915\pi\) |
0.892998 | − | 0.450060i | \(-0.148597\pi\) | |||||||
\(674\) | −20.1641 | − | 0.812587i | −0.776694 | − | 0.0312997i | ||||
\(675\) | −4.56024 | −0.175524 | ||||||||
\(676\) | −13.1616 | − | 0.514471i | −0.506217 | − | 0.0197873i | ||||
\(677\) | −45.3764 | −1.74396 | −0.871978 | − | 0.489545i | \(-0.837163\pi\) | ||||
−0.871978 | + | 0.489545i | \(0.837163\pi\) | |||||||
\(678\) | −20.1411 | − | 0.811659i | −0.773515 | − | 0.0311716i | ||||
\(679\) | 13.6842 | − | 47.2435i | 0.525153 | − | 1.81304i | ||||
\(680\) | 0.138991 | + | 0.0112205i | 0.00533008 | + | 0.000430288i | ||||
\(681\) | 13.0893 | + | 4.96411i | 0.501582 | + | 0.190225i | ||||
\(682\) | −4.26517 | + | 12.7757i | −0.163322 | + | 0.489208i | ||||
\(683\) | −8.84830 | − | 20.7677i | −0.338571 | − | 0.794655i | −0.999040 | − | 0.0438019i | \(-0.986053\pi\) |
0.660469 | − | 0.750853i | \(-0.270357\pi\) | |||||||
\(684\) | −6.57885 | − | 0.798817i | −0.251549 | − | 0.0305435i | ||||
\(685\) | −4.01994 | − | 2.54205i | −0.153594 | − | 0.0971269i | ||||
\(686\) | 17.0411 | + | 7.26054i | 0.650633 | + | 0.277209i | ||||
\(687\) | −14.5331 | − | 22.9823i | −0.554474 | − | 0.876831i | ||||
\(688\) | −0.0401420 | + | 0.105846i | −0.00153040 | + | 0.00403533i | ||||
\(689\) | −0.992955 | + | 9.88767i | −0.0378286 | + | 0.376690i | ||||
\(690\) | 1.86432 | + | 4.91582i | 0.0709736 | + | 0.187142i | ||||
\(691\) | 22.4068 | − | 29.8180i | 0.852394 | − | 1.13433i | −0.137214 | − | 0.990541i | \(-0.543815\pi\) |
0.989608 | − | 0.143789i | \(-0.0459286\pi\) | |||||||
\(692\) | 21.8912 | + | 3.55767i | 0.832180 | + | 0.135242i | ||||
\(693\) | 7.03975 | − | 2.99936i | 0.267418 | − | 0.113936i | ||||
\(694\) | −18.8178 | − | 12.9890i | −0.714315 | − | 0.493056i | ||||
\(695\) | 2.12141 | − | 1.22480i | 0.0804697 | − | 0.0464592i | ||||
\(696\) | −2.95438 | − | 1.40187i | −0.111986 | − | 0.0531378i | ||||
\(697\) | 0.270755 | − | 0.0328756i | 0.0102556 | − | 0.00124525i | ||||
\(698\) | 16.3731 | + | 28.3591i | 0.619733 | + | 1.07341i | ||||
\(699\) | −3.61362 | + | 6.25898i | −0.136680 | + | 0.236736i | ||||
\(700\) | −4.75817 | + | 11.1678i | −0.179842 | + | 0.422105i | ||||
\(701\) | 5.93035 | + | 5.25384i | 0.223986 | + | 0.198435i | 0.767651 | − | 0.640868i | \(-0.221425\pi\) |
−0.543665 | + | 0.839302i | \(0.682964\pi\) | |||||||
\(702\) | −2.72679 | + | 2.32226i | −0.102916 | + | 0.0876481i | ||||
\(703\) | −27.8655 | + | 24.6867i | −1.05097 | + | 0.931075i | ||||
\(704\) | 6.36979 | + | 19.0799i | 0.240070 | + | 0.719099i | ||||
\(705\) | 0.0732775 | − | 1.81836i | 0.00275979 | − | 0.0684835i | ||||
\(706\) | 13.7516 | − | 16.8426i | 0.517547 | − | 0.633880i | ||||
\(707\) | −2.67311 | − | 3.01732i | −0.100533 | − | 0.113478i | ||||
\(708\) | 12.5778 | + | 2.56777i | 0.472702 | + | 0.0965028i | ||||
\(709\) | −0.951997 | + | 0.275749i | −0.0357530 | + | 0.0103560i | −0.296046 | − | 0.955174i | \(-0.595668\pi\) |
0.260293 | + | 0.965530i | \(0.416181\pi\) | |||||||
\(710\) | −1.73813 | + | 0.659187i | −0.0652310 | + | 0.0247389i | ||||
\(711\) | 0.151697 | + | 3.76431i | 0.00568906 | + | 0.141173i | ||||
\(712\) | −27.0318 | − | 20.3131i | −1.01306 | − | 0.761266i | ||||
\(713\) | −36.4028 | + | 7.43168i | −1.36329 | + | 0.278318i | ||||
\(714\) | −0.162343 | + | 0.0852042i | −0.00607554 | + | 0.00318869i | ||||
\(715\) | 1.53418 | + | 6.79282i | 0.0573751 | + | 0.254037i | ||||
\(716\) | −5.00720 | − | 2.62798i | −0.187128 | − | 0.0982122i | ||||
\(717\) | −21.7792 | − | 6.30843i | −0.813360 | − | 0.235592i | ||||
\(718\) | −10.2922 | + | 0.830875i | −0.384103 | + | 0.0310080i | ||||
\(719\) | −7.42229 | + | 36.3568i | −0.276805 | + | 1.35588i | 0.568979 | + | 0.822352i | \(0.307339\pi\) |
−0.845783 | + | 0.533527i | \(0.820866\pi\) | |||||||
\(720\) | −0.291843 | − | 0.556061i | −0.0108764 | − | 0.0207232i | ||||
\(721\) | 10.8678 | + | 14.4624i | 0.404737 | + | 0.538607i | ||||
\(722\) | 12.6264 | − | 19.9670i | 0.469905 | − | 0.743095i | ||||
\(723\) | −15.9380 | + | 11.0012i | −0.592740 | + | 0.409139i | ||||
\(724\) | 10.7689 | − | 22.6949i | 0.400222 | − | 0.843449i | ||||
\(725\) | −3.45119 | + | 3.59307i | −0.128174 | + | 0.133443i | ||||
\(726\) | 1.80326 | + | 1.73206i | 0.0669253 | + | 0.0642826i | ||||
\(727\) | 3.12751 | + | 25.7573i | 0.115993 | + | 0.955286i | 0.928242 | + | 0.371976i | \(0.121320\pi\) |
−0.812250 | + | 0.583310i | \(0.801757\pi\) | |||||||
\(728\) | 8.45183 | + | 27.0653i | 0.313246 | + | 1.00311i | ||||
\(729\) | 0.120537 | − | 0.992709i | 0.00446432 | − | 0.0367670i | ||||
\(730\) | −0.0764037 | + | 0.0623817i | −0.00282783 | + | 0.00230885i | ||||
\(731\) | −0.00167973 | − | 0.00822788i | −6.21272e−5 | − | 0.000304319i | ||||
\(732\) | −1.61431 | − | 5.57324i | −0.0596665 | − | 0.205993i | ||||
\(733\) | 0.118667 | + | 0.481451i | 0.00438307 | + | 0.0177828i | 0.973093 | − | 0.230414i | \(-0.0740081\pi\) |
−0.968710 | + | 0.248197i | \(0.920162\pi\) | |||||||
\(734\) | −2.09262 | + | 25.9217i | −0.0772398 | + | 0.956787i | ||||
\(735\) | −0.0103659 | − | 0.0637837i | −0.000382350 | − | 0.00235270i | ||||
\(736\) | −26.7040 | + | 30.1426i | −0.984324 | + | 1.11107i | ||||
\(737\) | 9.79827 | − | 7.36292i | 0.360924 | − | 0.271217i | ||||
\(738\) | −2.43917 | − | 2.98744i | −0.0897869 | − | 0.109969i | ||||
\(739\) | 0.764286 | − | 4.70284i | 0.0281147 | − | 0.172997i | −0.969196 | − | 0.246293i | \(-0.920788\pi\) |
0.997310 | + | 0.0732958i | \(0.0233517\pi\) | |||||||
\(740\) | 3.71311 | + | 0.915200i | 0.136497 | + | 0.0336434i | ||||
\(741\) | 6.11752 | + | 22.7759i | 0.224733 | + | 0.836692i | ||||
\(742\) | 6.98413 | − | 1.72143i | 0.256395 | − | 0.0631958i | ||||
\(743\) | 4.13790 | + | 51.2570i | 0.151805 | + | 1.88044i | 0.406830 | + | 0.913504i | \(0.366634\pi\) |
−0.255025 | + | 0.966934i | \(0.582084\pi\) | |||||||
\(744\) | 13.2172 | − | 4.41256i | 0.484568 | − | 0.161772i | ||||
\(745\) | 4.34721 | + | 4.52592i | 0.159269 | + | 0.165817i | ||||
\(746\) | 22.4694i | 0.822662i | ||||||||
\(747\) | 2.86637 | − | 2.75319i | 0.104875 | − | 0.100734i | ||||
\(748\) | −0.160584 | − | 0.131113i | −0.00587152 | − | 0.00479395i | ||||
\(749\) | −12.6914 | + | 24.1814i | −0.463733 | + | 0.883569i | ||||
\(750\) | −6.21625 | + | 1.01024i | −0.226985 | + | 0.0368887i | ||||
\(751\) | −35.0095 | + | 22.1387i | −1.27752 | + | 0.807852i | −0.988754 | − | 0.149549i | \(-0.952218\pi\) |
−0.288762 | + | 0.957401i | \(0.593244\pi\) | |||||||
\(752\) | −2.34789 | + | 1.11409i | −0.0856187 | + | 0.0406266i | ||||
\(753\) | 8.69433 | − | 12.5959i | 0.316839 | − | 0.459020i | ||||
\(754\) | −0.233899 | + | 3.90596i | −0.00851810 | + | 0.142247i | ||||
\(755\) | 1.31433 | + | 1.90413i | 0.0478333 | + | 0.0692985i | ||||
\(756\) | −2.30533 | − | 1.33099i | −0.0838442 | − | 0.0484075i | ||||
\(757\) | 10.6936 | + | 22.5362i | 0.388664 | + | 0.819093i | 0.999624 | + | 0.0274308i | \(0.00873259\pi\) |
−0.610959 | + | 0.791662i | \(0.709216\pi\) | |||||||
\(758\) | −5.86036 | − | 1.95648i | −0.212858 | − | 0.0710624i | ||||
\(759\) | 5.56290 | − | 22.5696i | 0.201921 | − | 0.819224i | ||||
\(760\) | −12.9726 | + | 0.522778i | −0.470566 | + | 0.0189631i | ||||
\(761\) | −7.62445 | + | 0.307255i | −0.276386 | + | 0.0111380i | −0.178072 | − | 0.984017i | \(-0.556986\pi\) |
−0.0983140 | + | 0.995155i | \(0.531345\pi\) | |||||||
\(762\) | 1.49524 | − | 6.06642i | 0.0541668 | − | 0.219763i | ||||
\(763\) | −29.7815 | − | 9.94253i | −1.07816 | − | 0.359944i | ||||
\(764\) | −9.12908 | − | 19.2391i | −0.330279 | − | 0.696047i | ||||
\(765\) | 0.0403448 | + | 0.0232931i | 0.00145867 | + | 0.000842163i | ||||
\(766\) | −7.81141 | − | 11.3168i | −0.282238 | − | 0.408892i | ||||
\(767\) | −8.26153 | − | 44.9286i | −0.298307 | − | 1.62228i | ||||
\(768\) | 9.66971 | − | 14.0090i | 0.348926 | − | 0.505506i | ||||
\(769\) | −16.7203 | + | 7.93389i | −0.602950 | + | 0.286103i | −0.705596 | − | 0.708615i | \(-0.749320\pi\) |
0.102646 | + | 0.994718i | \(0.467269\pi\) | |||||||
\(770\) | 4.26043 | − | 2.69414i | 0.153535 | − | 0.0970899i | ||||
\(771\) | −16.9938 | + | 2.76175i | −0.612015 | + | 0.0994621i | ||||
\(772\) | −11.8829 | + | 22.6410i | −0.427675 | + | 0.814868i | ||||
\(773\) | −22.7084 | − | 18.5408i | −0.816763 | − | 0.666866i | 0.129029 | − | 0.991641i | \(-0.458814\pi\) |
−0.945791 | + | 0.324775i | \(0.894712\pi\) | |||||||
\(774\) | −0.0856398 | + | 0.0822582i | −0.00307826 | + | 0.00295671i | ||||
\(775\) | − | 21.2291i | − | 0.762573i | ||||||
\(776\) | 38.8181 | + | 40.4139i | 1.39349 | + | 1.45077i | ||||
\(777\) | −14.1840 | + | 4.73530i | −0.508847 | + | 0.169878i | ||||
\(778\) | −1.80342 | − | 22.3394i | −0.0646559 | − | 0.800907i | ||||
\(779\) | −24.6563 | + | 6.07724i | −0.883405 | + | 0.217740i | ||||
\(780\) | 1.56851 | − | 1.84625i | 0.0561617 | − | 0.0661065i | ||||
\(781\) | 7.98014 | + | 1.96693i | 0.285552 | + | 0.0703823i | ||||
\(782\) | −0.0893415 | + | 0.549740i | −0.00319484 | + | 0.0196587i | ||||
\(783\) | −0.690945 | − | 0.846254i | −0.0246924 | − | 0.0302426i | ||||
\(784\) | −0.0737731 | + | 0.0554369i | −0.00263475 | + | 0.00197989i | ||||
\(785\) | 3.30519 | − | 3.73079i | 0.117967 | − | 0.133157i | ||||
\(786\) | −0.854440 | − | 5.25758i | −0.0304769 | − | 0.187532i | ||||
\(787\) | −0.147332 | + | 1.82503i | −0.00525182 | + | 0.0650554i | −0.998852 | − | 0.0478960i | \(-0.984748\pi\) |
0.993601 | + | 0.112951i | \(0.0360304\pi\) | |||||||
\(788\) | 3.03444 | + | 12.3112i | 0.108098 | + | 0.438569i | ||||
\(789\) | 6.43001 | + | 22.1990i | 0.228914 | + | 0.790304i | ||||
\(790\) | 0.496414 | + | 2.43160i | 0.0176616 | + | 0.0865123i | ||||
\(791\) | −41.2960 | + | 33.7172i | −1.46832 | + | 1.19884i | ||||
\(792\) | −1.05084 | + | 8.65442i | −0.0373399 | + | 0.307521i | ||||
\(793\) | −16.2460 | + | 12.7437i | −0.576911 | + | 0.452544i | ||||
\(794\) | 1.92822 | + | 15.8803i | 0.0684299 | + | 0.563571i | ||||
\(795\) | −1.31815 | − | 1.26610i | −0.0467501 | − | 0.0449041i | ||||
\(796\) | −10.7102 | + | 11.1505i | −0.379613 | + | 0.395219i | ||||
\(797\) | −15.9503 | + | 33.6145i | −0.564987 | + | 1.19069i | 0.397057 | + | 0.917794i | \(0.370031\pi\) |
−0.962045 | + | 0.272892i | \(0.912020\pi\) | |||||||
\(798\) | 14.0488 | − | 9.69718i | 0.497322 | − | 0.343276i | ||||
\(799\) | 0.103037 | − | 0.162940i | 0.00364520 | − | 0.00576442i | ||||
\(800\) | −13.8230 | − | 18.3951i | −0.488718 | − | 0.650365i | ||||
\(801\) | −5.24977 | − | 10.0026i | −0.185492 | − | 0.353425i | ||||
\(802\) | 2.99607 | − | 14.6757i | 0.105795 | − | 0.518218i | ||||
\(803\) | 0.434687 | − | 0.0350916i | 0.0153398 | − | 0.00123836i | ||||
\(804\) | −4.09536 | − | 1.18624i | −0.144432 | − | 0.0418353i | ||||
\(805\) | 12.3122 | + | 6.46194i | 0.433948 | + | 0.227754i | ||||
\(806\) | −10.8108 | − | 12.6940i | −0.380792 | − | 0.447126i | ||||
\(807\) | −1.50900 | + | 0.791982i | −0.0531192 | + | 0.0278791i | ||||
\(808\) | 4.49980 | − | 0.918641i | 0.158302 | − | 0.0323177i | ||||
\(809\) | 36.4500 | + | 27.3904i | 1.28151 | + | 0.962995i | 0.999994 | + | 0.00343905i | \(0.00109469\pi\) |
0.281519 | + | 0.959556i | \(0.409162\pi\) | |||||||
\(810\) | −0.0265252 | − | 0.658216i | −0.000932000 | − | 0.0231273i | ||||
\(811\) | −10.5947 | + | 4.01803i | −0.372029 | + | 0.141092i | −0.533531 | − | 0.845780i | \(-0.679135\pi\) |
0.161502 | + | 0.986872i | \(0.448366\pi\) | |||||||
\(812\) | −2.79337 | + | 0.809111i | −0.0980282 | + | 0.0283942i | ||||
\(813\) | 11.6637 | + | 2.38116i | 0.409064 | + | 0.0835110i | ||||
\(814\) | 10.9199 | + | 12.3260i | 0.382743 | + | 0.432028i | ||||
\(815\) | −6.09384 | + | 7.46360i | −0.213458 | + | 0.261438i | ||||
\(816\) | 0.00267877 | − | 0.0664729i | 9.37756e−5 | − | 0.00232702i | ||||
\(817\) | 0.247594 | + | 0.741634i | 0.00866221 | + | 0.0259465i | ||||
\(818\) | 6.51712 | − | 5.77366i | 0.227866 | − | 0.201871i | ||||
\(819\) | −1.32528 | + | 9.37960i | −0.0463091 | + | 0.327750i | ||||
\(820\) | 1.95258 | + | 1.72984i | 0.0681871 | + | 0.0604085i | ||||
\(821\) | 6.75595 | − | 15.8568i | 0.235784 | − | 0.553406i | −0.759489 | − | 0.650520i | \(-0.774551\pi\) |
0.995273 | + | 0.0971143i | \(0.0309612\pi\) | |||||||
\(822\) | −3.56238 | + | 6.17022i | −0.124252 | + | 0.215211i | ||||
\(823\) | 11.9018 | + | 20.6145i | 0.414869 | + | 0.718575i | 0.995415 | − | 0.0956531i | \(-0.0304940\pi\) |
−0.580545 | + | 0.814228i | \(0.697161\pi\) | |||||||
\(824\) | −20.4603 | + | 2.48433i | −0.712768 | + | 0.0865457i | ||||
\(825\) | 11.9996 | + | 5.69387i | 0.417772 | + | 0.198235i | ||||
\(826\) | −28.6366 | + | 16.5333i | −0.996394 | + | 0.575268i | ||||
\(827\) | −7.27630 | − | 5.02247i | −0.253022 | − | 0.174648i | 0.434802 | − | 0.900526i | \(-0.356818\pi\) |
−0.687824 | + | 0.725878i | \(0.741434\pi\) | |||||||
\(828\) | −7.43931 | + | 3.16959i | −0.258534 | + | 0.110151i | ||||
\(829\) | 3.20658 | + | 0.521121i | 0.111369 | + | 0.0180993i | 0.215840 | − | 0.976429i | \(-0.430751\pi\) |
−0.104471 | + | 0.994528i | \(0.533315\pi\) | |||||||
\(830\) | 1.57284 | − | 2.09307i | 0.0545940 | − | 0.0726514i | ||||
\(831\) | 4.87592 | + | 12.8567i | 0.169144 | + | 0.445996i | ||||
\(832\) | −24.2959 | − | 5.45648i | −0.842310 | − | 0.189169i | ||||
\(833\) | 0.00242748 | − | 0.00640075i | 8.41073e−5 | − | 0.000221773i | ||||
\(834\) | −1.96119 | − | 3.10137i | −0.0679104 | − | 0.107392i | ||||
\(835\) | −3.86476 | − | 1.64662i | −0.133746 | − | 0.0569836i | ||||
\(836\) | 16.3139 | + | 10.3163i | 0.564226 | + | 0.356795i | ||||
\(837\) | 4.62133 | + | 0.561131i | 0.159736 | + | 0.0193955i | ||||
\(838\) | 10.3706 | + | 24.3407i | 0.358246 | + | 0.840835i | ||||
\(839\) | −12.4657 | + | 37.3394i | −0.430365 | + | 1.28910i | 0.480718 | + | 0.876875i | \(0.340376\pi\) |
−0.911082 | + | 0.412224i | \(0.864752\pi\) | |||||||
\(840\) | −4.87611 | − | 1.84927i | −0.168242 | − | 0.0638057i | ||||
\(841\) | 27.7163 | + | 2.23749i | 0.955734 | + | 0.0771548i | ||||
\(842\) | 10.1882 | − | 35.1739i | 0.351110 | − | 1.21217i | ||||
\(843\) | −7.54534 | − | 0.304067i | −0.259875 | − | 0.0104726i | ||||
\(844\) | 3.07015 | 0.105679 | ||||||||
\(845\) | −8.18050 | − | 2.72007i | −0.281418 | − | 0.0935733i | ||||
\(846\) | −2.72608 | −0.0937245 | ||||||||
\(847\) | 6.60756 | + | 0.266275i | 0.227038 | + | 0.00914933i | ||||
\(848\) | −0.726162 | + | 2.50700i | −0.0249365 | + | 0.0860908i | ||||
\(849\) | 24.7652 | + | 1.99925i | 0.849940 | + | 0.0686142i | ||||
\(850\) | −0.297556 | − | 0.112848i | −0.0102061 | − | 0.00387066i | ||||
\(851\) | −14.3846 | + | 43.0873i | −0.493099 | + | 1.47701i | ||||
\(852\) | −1.12070 | − | 2.63039i | −0.0383947 | − | 0.0901157i | ||||
\(853\) | 20.1031 | + | 2.44096i | 0.688317 | + | 0.0835768i | 0.457220 | − | 0.889354i | \(-0.348845\pi\) |
0.231097 | + | 0.972931i | \(0.425768\pi\) | |||||||
\(854\) | 12.6321 | + | 7.98806i | 0.432262 | + | 0.273346i | ||||
\(855\) | −3.99039 | − | 1.70015i | −0.136469 | − | 0.0581438i | ||||
\(856\) | −16.6292 | − | 26.2970i | −0.568374 | − | 0.898812i | ||||
\(857\) | 20.4241 | − | 53.8539i | 0.697674 | − | 1.83961i | 0.180877 | − | 0.983506i | \(-0.442106\pi\) |
0.516797 | − | 0.856108i | \(-0.327124\pi\) | |||||||
\(858\) | 10.0747 | − | 2.70603i | 0.343944 | − | 0.0923824i | ||||
\(859\) | 3.63716 | + | 9.59040i | 0.124098 | + | 0.327220i | 0.982640 | − | 0.185524i | \(-0.0593982\pi\) |
−0.858541 | + | 0.512744i | \(0.828629\pi\) | |||||||
\(860\) | 0.0482503 | − | 0.0642095i | 0.00164532 | − | 0.00218952i | ||||
\(861\) | −10.0681 | − | 1.63623i | −0.343122 | − | 0.0557627i | ||||
\(862\) | 22.8975 | − | 9.75570i | 0.779891 | − | 0.332281i | ||||
\(863\) | −1.50820 | − | 1.04103i | −0.0513396 | − | 0.0354372i | 0.542119 | − | 0.840302i | \(-0.317622\pi\) |
−0.593458 | + | 0.804865i | \(0.702238\pi\) | |||||||
\(864\) | 4.36976 | − | 2.52288i | 0.148662 | − | 0.0858302i | ||||
\(865\) | 13.1143 | + | 6.22280i | 0.445899 | + | 0.211582i | ||||
\(866\) | −4.32091 | + | 0.524653i | −0.146830 | + | 0.0178284i | ||||
\(867\) | −8.49753 | − | 14.7182i | −0.288591 | − | 0.499855i | ||||
\(868\) | 6.19609 | − | 10.7320i | 0.210309 | − | 0.364266i | ||||
\(869\) | 4.30091 | − | 10.0946i | 0.145899 | − | 0.342436i | ||||
\(870\) | −0.538690 | − | 0.477238i | −0.0182633 | − | 0.0161799i | ||||
\(871\) | 1.53430 | + | 15.0948i | 0.0519877 | + | 0.511468i | ||||
\(872\) | 26.7749 | − | 23.7205i | 0.906712 | − | 0.803277i | ||||
\(873\) | 5.92838 | + | 17.7577i | 0.200645 | + | 0.601006i | ||||
\(874\) | 2.08803 | − | 51.8139i | 0.0706287 | − | 1.75263i | ||||
\(875\) | −10.5343 | + | 12.9021i | −0.356123 | + | 0.436172i | ||||
\(876\) | −0.100602 | − | 0.113556i | −0.00339902 | − | 0.00383670i | ||||
\(877\) | −8.66999 | − | 1.76999i | −0.292765 | − | 0.0597683i | 0.0513984 | − | 0.998678i | \(-0.483632\pi\) |
−0.344163 | + | 0.938910i | \(0.611837\pi\) | |||||||
\(878\) | 27.3188 | − | 7.91299i | 0.921966 | − | 0.267051i | ||||
\(879\) | −3.11605 | + | 1.18176i | −0.105102 | + | 0.0398598i | ||||
\(880\) | 0.0736491 | + | 1.82758i | 0.00248271 | + | 0.0616078i | ||||
\(881\) | 16.9668 | + | 12.7498i | 0.571628 | + | 0.429550i | 0.846851 | − | 0.531830i | \(-0.178495\pi\) |
−0.275224 | + | 0.961380i | \(0.588752\pi\) | |||||||
\(882\) | −0.0948438 | + | 0.0193625i | −0.00319356 | + | 0.000651969i | ||||
\(883\) | 12.5993 | − | 6.61265i | 0.424002 | − | 0.222533i | −0.239206 | − | 0.970969i | \(-0.576887\pi\) |
0.663207 | + | 0.748436i | \(0.269195\pi\) | |||||||
\(884\) | 0.241691 | − | 0.0863002i | 0.00812896 | − | 0.00290259i | ||||
\(885\) | 7.43956 | + | 3.90458i | 0.250078 | + | 0.131251i | ||||
\(886\) | 2.56888 | + | 0.744085i | 0.0863032 | + | 0.0249980i | ||||
\(887\) | 36.1080 | − | 2.91494i | 1.21239 | − | 0.0978741i | 0.542319 | − | 0.840173i | \(-0.317546\pi\) |
0.670069 | + | 0.742298i | \(0.266264\pi\) | |||||||
\(888\) | 3.40774 | − | 16.6922i | 0.114356 | − | 0.560154i | ||||
\(889\) | −7.67938 | − | 14.6318i | −0.257558 | − | 0.490736i | ||||
\(890\) | −4.47049 | − | 5.94914i | −0.149851 | − | 0.199416i | ||||
\(891\) | −1.55666 | + | 2.46166i | −0.0521501 | + | 0.0824688i | ||||
\(892\) | 20.5032 | − | 14.1524i | 0.686499 | − | 0.473856i | ||||
\(893\) | −7.69486 | + | 16.2166i | −0.257499 | + | 0.542667i | ||||
\(894\) | 6.51202 | − | 6.77973i | 0.217794 | − | 0.226748i | ||||
\(895\) | −2.66928 | − | 2.56388i | −0.0892242 | − | 0.0857010i | ||||
\(896\) | −1.02319 | − | 8.42673i | −0.0341824 | − | 0.281517i | ||||
\(897\) | 20.3599 | + | 20.3353i | 0.679796 | + | 0.678976i | ||||
\(898\) | 3.09402 | − | 25.4815i | 0.103249 | − | 0.850330i | ||||
\(899\) | 3.93954 | − | 3.21653i | 0.131391 | − | 0.107277i | ||||
\(900\) | −0.924213 | − | 4.52709i | −0.0308071 | − | 0.150903i | ||||
\(901\) | −0.0538685 | − | 0.185975i | −0.00179462 | − | 0.00619574i | ||||
\(902\) | 2.68821 | + | 10.9065i | 0.0895076 | + | 0.363147i | ||||
\(903\) | −0.0252712 | + | 0.313040i | −0.000840973 | + | 0.0104173i | ||||
\(904\) | −9.74316 | − | 59.9521i | −0.324053 | − | 1.99398i | ||||
\(905\) | 10.9025 | − | 12.3064i | 0.362412 | − | 0.409079i | ||||
\(906\) | 2.77076 | − | 2.08209i | 0.0920523 | − | 0.0691728i | ||||
\(907\) | −27.4800 | − | 33.6568i | −0.912457 | − | 1.11756i | −0.992679 | − | 0.120780i | \(-0.961460\pi\) |
0.0802219 | − | 0.996777i | \(-0.474437\pi\) | |||||||
\(908\) | −2.27525 | + | 14.0002i | −0.0755070 | + | 0.464613i | ||||
\(909\) | 1.48974 | + | 0.367188i | 0.0494116 | + | 0.0121789i | ||||
\(910\) | 0.129427 | + | 6.23884i | 0.00429048 | + | 0.206815i | ||||
\(911\) | 0.493500 | − | 0.121637i | 0.0163504 | − | 0.00403001i | −0.231132 | − | 0.972922i | \(-0.574243\pi\) |
0.247482 | + | 0.968892i | \(0.420397\pi\) | |||||||
\(912\) | 0.498418 | + | 6.17401i | 0.0165043 | + | 0.204442i | ||||
\(913\) | −10.9800 | + | 3.66567i | −0.363386 | + | 0.121316i | ||||
\(914\) | 22.4709 | + | 23.3947i | 0.743271 | + | 0.773827i | ||||
\(915\) | − | 3.79762i | − | 0.125545i | ||||||
\(916\) | 19.8699 | − | 19.0853i | 0.656519 | − | 0.630595i | ||||
\(917\) | −10.9124 | − | 8.90967i | −0.360358 | − | 0.294223i | ||||
\(918\) | 0.0324307 | − | 0.0617915i | 0.00107037 | − | 0.00203942i | ||||
\(919\) | 4.43426 | − | 0.720638i | 0.146273 | − | 0.0237716i | −0.0868339 | − | 0.996223i | \(-0.527675\pi\) |
0.233107 | + | 0.972451i | \(0.425111\pi\) | |||||||
\(920\) | −13.3894 | + | 8.46693i | −0.441435 | + | 0.279146i | ||||
\(921\) | −13.3597 | + | 6.33926i | −0.440217 | + | 0.208886i | ||||
\(922\) | 6.00711 | − | 8.70280i | 0.197834 | − | 0.286612i | ||||
\(923\) | −7.19015 | + | 7.19884i | −0.236667 | + | 0.236953i | ||||
\(924\) | 4.40428 | + | 6.38070i | 0.144890 | + | 0.209910i | ||||
\(925\) | −22.4780 | − | 12.9777i | −0.739071 | − | 0.426703i | ||||
\(926\) | −12.4343 | − | 26.2047i | −0.408616 | − | 0.861141i | ||||
\(927\) | −6.53133 | − | 2.18048i | −0.214517 | − | 0.0716163i | ||||
\(928\) | 1.31922 | − | 5.35230i | 0.0433056 | − | 0.175698i | ||||
\(929\) | 32.5208 | − | 1.31054i | 1.06697 | − | 0.0429975i | 0.499440 | − | 0.866349i | \(-0.333539\pi\) |
0.567532 | + | 0.823351i | \(0.307898\pi\) | |||||||
\(930\) | 3.06417 | − | 0.123482i | 0.100478 | − | 0.00404913i | ||||
\(931\) | −0.152533 | + | 0.618850i | −0.00499906 | + | 0.0202820i | ||||
\(932\) | −6.94584 | − | 2.31886i | −0.227519 | − | 0.0759569i | ||||
\(933\) | −12.7802 | − | 26.9337i | −0.418404 | − | 0.881769i | ||||
\(934\) | −3.72973 | − | 2.15336i | −0.122041 | − | 0.0704602i | ||||
\(935\) | −0.0770776 | − | 0.111666i | −0.00252071 | − | 0.00365188i | ||||
\(936\) | −8.49953 | − | 6.65068i | −0.277816 | − | 0.217384i | ||||
\(937\) | −25.9784 | + | 37.6362i | −0.848676 | + | 1.22952i | 0.122811 | + | 0.992430i | \(0.460809\pi\) |
−0.971488 | + | 0.237090i | \(0.923806\pi\) | |||||||
\(938\) | 9.92225 | − | 4.70817i | 0.323973 | − | 0.153727i | ||||
\(939\) | 5.20293 | − | 3.29013i | 0.169791 | − | 0.107369i | ||||
\(940\) | 1.82000 | − | 0.295778i | 0.0593617 | − | 0.00964722i | ||||
\(941\) | −10.4843 | + | 19.9762i | −0.341779 | + | 0.651205i | −0.994306 | − | 0.106560i | \(-0.966016\pi\) |
0.652527 | + | 0.757765i | \(0.273709\pi\) | |||||||
\(942\) | −5.78346 | − | 4.72205i | −0.188435 | − | 0.153853i | ||||
\(943\) | −22.3470 | + | 21.4646i | −0.727718 | + | 0.698982i | ||||
\(944\) | − | 11.9983i | − | 0.390512i | ||||||
\(945\) | −1.20690 | − | 1.25652i | −0.0392606 | − | 0.0408746i | ||||
\(946\) | 0.328055 | − | 0.109521i | 0.0106660 | − | 0.00356083i | ||||
\(947\) | −2.69088 | − | 33.3326i | −0.0874419 | − | 1.08316i | −0.880509 | − | 0.474029i | \(-0.842799\pi\) |
0.793067 | − | 0.609134i | \(-0.208483\pi\) | |||||||
\(948\) | −3.70620 | + | 0.913497i | −0.120372 | + | 0.0296690i | ||||
\(949\) | −0.240919 | + | 0.483128i | −0.00782056 | + | 0.0156830i | ||||
\(950\) | 28.7689 | + | 7.09090i | 0.933387 | + | 0.230059i | ||||
\(951\) | −0.602855 | + | 3.70951i | −0.0195489 | + | 0.120289i | ||||
\(952\) | −0.349397 | − | 0.427933i | −0.0113240 | − | 0.0138694i | ||||
\(953\) | −20.5644 | + | 15.4531i | −0.666146 | + | 0.500576i | −0.879193 | − | 0.476465i | \(-0.841918\pi\) |
0.213047 | + | 0.977042i | \(0.431661\pi\) | |||||||
\(954\) | −1.81555 | + | 2.04933i | −0.0587806 | + | 0.0663495i | ||||
\(955\) | −2.23576 | − | 13.7572i | −0.0723475 | − | 0.445172i | ||||
\(956\) | 1.84863 | − | 22.8994i | 0.0597890 | − | 0.740620i | ||||
\(957\) | 0.761492 | + | 3.08950i | 0.0246155 | + | 0.0998692i | ||||
\(958\) | −3.13633 | − | 10.8279i | −0.101330 | − | 0.349832i | ||||
\(959\) | 3.76919 | + | 18.4627i | 0.121713 | + | 0.596192i | ||||
\(960\) | 3.54760 | − | 2.89653i | 0.114498 | − | 0.0934850i | ||||
\(961\) | 1.12442 | − | 9.26046i | 0.0362717 | − | 0.298724i | ||||
\(962\) | −20.0495 | + | 3.68672i | −0.646420 | + | 0.118865i | ||||
\(963\) | −1.25294 | − | 10.3189i | −0.0403753 | − | 0.332520i | ||||
\(964\) | −14.1513 | − | 13.5926i | −0.455784 | − | 0.437787i | ||||
\(965\) | −11.5931 | + | 12.0697i | −0.373194 | + | 0.388536i | ||||
\(966\) | 8.92935 | − | 18.8182i | 0.287297 | − | 0.605466i | ||||
\(967\) | 10.6311 | − | 7.33810i | 0.341872 | − | 0.235977i | −0.384740 | − | 0.923025i | \(-0.625709\pi\) |
0.726612 | + | 0.687048i | \(0.241094\pi\) | |||||||
\(968\) | −4.02671 | + | 6.36773i | −0.129423 | + | 0.204667i | ||||
\(969\) | −0.276037 | − | 0.367338i | −0.00886758 | − | 0.0118006i | ||||
\(970\) | 5.73121 | + | 10.9199i | 0.184018 | + | 0.350617i | ||||
\(971\) | −4.70245 | + | 23.0341i | −0.150909 | + | 0.739200i | 0.831951 | + | 0.554848i | \(0.187224\pi\) |
−0.982860 | + | 0.184352i | \(0.940981\pi\) | |||||||
\(972\) | 1.00992 | − | 0.0815293i | 0.0323933 | − | 0.00261505i | ||||
\(973\) | −9.32174 | − | 2.70008i | −0.298841 | − | 0.0865604i | ||||
\(974\) | 4.98774 | + | 2.61777i | 0.159818 | + | 0.0838788i | ||||
\(975\) | −13.7115 | + | 9.07413i | −0.439120 | + | 0.290605i | ||||
\(976\) | −4.80196 | + | 2.52026i | −0.153707 | + | 0.0806717i | ||||
\(977\) | 0.398471 | − | 0.0813484i | 0.0127482 | − | 0.00260256i | −0.193647 | − | 0.981071i | \(-0.562032\pi\) |
0.206396 | + | 0.978469i | \(0.433827\pi\) | |||||||
\(978\) | 11.5388 | + | 8.67085i | 0.368970 | + | 0.277263i | ||||
\(979\) | 1.32482 | + | 32.8752i | 0.0423415 | + | 1.05069i | ||||
\(980\) | 0.0612192 | − | 0.0232174i | 0.00195558 | − | 0.000741652i | ||||
\(981\) | 11.4787 | − | 3.32485i | 0.366487 | − | 0.106154i | ||||
\(982\) | 34.4323 | + | 7.02941i | 1.09878 | + | 0.224317i | ||||
\(983\) | 21.9893 | + | 24.8208i | 0.701351 | + | 0.791661i | 0.985960 | − | 0.166982i | \(-0.0534023\pi\) |
−0.284609 | + | 0.958644i | \(0.591864\pi\) | |||||||
\(984\) | 7.34971 | − | 9.00176i | 0.234300 | − | 0.286966i | ||||
\(985\) | −0.334160 | + | 8.29211i | −0.0106472 | + | 0.264208i | ||||
\(986\) | −0.0241427 | − | 0.0723163i | −0.000768861 | − | 0.00230302i | ||||
\(987\) | −5.39670 | + | 4.78106i | −0.171779 | + | 0.152183i | ||||
\(988\) | −21.3705 | + | 10.6890i | −0.679886 | + | 0.340062i | ||||
\(989\) | 0.714102 | + | 0.632639i | 0.0227071 | + | 0.0201167i | ||||
\(990\) | −0.752045 | + | 1.76511i | −0.0239015 | + | 0.0560990i | ||||
\(991\) | 29.0884 | − | 50.3827i | 0.924025 | − | 1.60046i | 0.130903 | − | 0.991395i | \(-0.458212\pi\) |
0.793122 | − | 0.609063i | \(-0.208454\pi\) | |||||||
\(992\) | 11.7447 | + | 20.3424i | 0.372894 | + | 0.645872i | ||||
\(993\) | −6.05212 | + | 0.734861i | −0.192058 | + | 0.0233201i | ||||
\(994\) | 6.65374 | + | 3.15724i | 0.211044 | + | 0.100142i | ||||
\(995\) | −8.76349 | + | 5.05960i | −0.277821 | + | 0.160400i | ||||
\(996\) | 3.31409 | + | 2.28755i | 0.105011 | + | 0.0724839i | ||||
\(997\) | −46.8136 | + | 19.9454i | −1.48260 | + | 0.631677i | −0.973429 | − | 0.228987i | \(-0.926459\pi\) |
−0.509172 | + | 0.860665i | \(0.670048\pi\) | |||||||
\(998\) | 32.9970 | + | 5.36253i | 1.04450 | + | 0.169748i | ||||
\(999\) | 3.41922 | − | 4.55016i | 0.108179 | − | 0.143961i |
(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 | 507.2.t.b.4.11 | ✓ | 360 | |
169.127 | even | 78 | inner | 507.2.t.b.127.11 | yes | 360 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
507.2.t.b.4.11 | ✓ | 360 | 1.1 | even | 1 | trivial | |
507.2.t.b.127.11 | yes | 360 | 169.127 | even | 78 | inner |