Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(9,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(90))
chi = DirichletCharacter(H, H._module([63, 40]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.bg (of order \(90\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(1200\) |
Relative dimension: | \(50\) over \(\Q(\zeta_{90})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{90}]$ |
Embedding invariants
Embedding label | 9.6 | ||
Character | \(\chi\) | \(=\) | 950.9 |
Dual form | 950.2.bg.a.739.6 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.898794 | − | 0.438371i | −0.635543 | − | 0.309975i | ||||
\(3\) | −0.891893 | + | 1.42733i | −0.514935 | + | 0.824068i | −0.998692 | − | 0.0511346i | \(-0.983716\pi\) |
0.483757 | + | 0.875202i | \(0.339272\pi\) | |||||||
\(4\) | 0.615661 | + | 0.788011i | 0.307831 | + | 0.394005i | ||||
\(5\) | −0.847823 | + | 2.06911i | −0.379158 | + | 0.925332i | ||||
\(6\) | 1.42733 | − | 0.891893i | 0.582704 | − | 0.364114i | ||||
\(7\) | −4.31713 | − | 2.49250i | −1.63172 | − | 0.942075i | −0.983562 | − | 0.180569i | \(-0.942206\pi\) |
−0.648159 | − | 0.761505i | \(-0.724461\pi\) | |||||||
\(8\) | −0.207912 | − | 0.978148i | −0.0735079 | − | 0.345827i | ||||
\(9\) | 0.0733240 | + | 0.150336i | 0.0244413 | + | 0.0501121i | ||||
\(10\) | 1.66905 | − | 1.48804i | 0.527801 | − | 0.470559i | ||||
\(11\) | −0.365224 | + | 3.47488i | −0.110119 | + | 1.04771i | 0.790308 | + | 0.612709i | \(0.209920\pi\) |
−0.900428 | + | 0.435006i | \(0.856746\pi\) | |||||||
\(12\) | −1.67385 | + | 0.175929i | −0.483200 | + | 0.0507863i | ||||
\(13\) | 0.384715 | − | 5.50168i | 0.106701 | − | 1.52589i | −0.589338 | − | 0.807886i | \(-0.700611\pi\) |
0.696039 | − | 0.718004i | \(-0.254944\pi\) | |||||||
\(14\) | 2.78757 | + | 4.13274i | 0.745010 | + | 1.10452i | ||||
\(15\) | −2.19712 | − | 3.05554i | −0.567295 | − | 0.788937i | ||||
\(16\) | −0.241922 | + | 0.970296i | −0.0604805 | + | 0.242574i | ||||
\(17\) | −0.899474 | + | 6.40009i | −0.218154 | + | 1.55225i | 0.505953 | + | 0.862561i | \(0.331141\pi\) |
−0.724107 | + | 0.689688i | \(0.757748\pi\) | |||||||
\(18\) | − | 0.167265i | − | 0.0394246i | ||||||
\(19\) | −2.11368 | − | 3.81213i | −0.484912 | − | 0.874563i | ||||
\(20\) | −2.15245 | + | 0.605775i | −0.481302 | + | 0.135455i | ||||
\(21\) | 7.40802 | − | 3.93891i | 1.61656 | − | 0.859542i | ||||
\(22\) | 1.85155 | − | 2.96309i | 0.394751 | − | 0.631734i | ||||
\(23\) | −0.269219 | + | 0.938879i | −0.0561361 | + | 0.195770i | −0.984333 | − | 0.176320i | \(-0.943581\pi\) |
0.928197 | + | 0.372089i | \(0.121359\pi\) | |||||||
\(24\) | 1.58157 | + | 0.575645i | 0.322837 | + | 0.117503i | ||||
\(25\) | −3.56239 | − | 3.50847i | −0.712479 | − | 0.701694i | ||||
\(26\) | −2.75756 | + | 4.77623i | −0.540801 | + | 0.936695i | ||||
\(27\) | −5.30154 | − | 0.557214i | −1.02028 | − | 0.107236i | ||||
\(28\) | −0.693777 | − | 4.93648i | −0.131111 | − | 0.932906i | ||||
\(29\) | 1.81201 | − | 0.254662i | 0.336482 | − | 0.0472895i | 0.0310912 | − | 0.999517i | \(-0.490102\pi\) |
0.305391 | + | 0.952227i | \(0.401213\pi\) | |||||||
\(30\) | 0.635300 | + | 3.70946i | 0.115989 | + | 0.677251i | ||||
\(31\) | −0.423059 | − | 0.469855i | −0.0759837 | − | 0.0843884i | 0.703954 | − | 0.710245i | \(-0.251416\pi\) |
−0.779938 | + | 0.625857i | \(0.784749\pi\) | |||||||
\(32\) | 0.642788 | − | 0.766044i | 0.113630 | − | 0.135419i | ||||
\(33\) | −4.63404 | − | 3.62051i | −0.806684 | − | 0.630250i | ||||
\(34\) | 3.61405 | − | 5.35806i | 0.619805 | − | 0.918899i | ||||
\(35\) | 8.81739 | − | 6.81940i | 1.49041 | − | 1.15269i | ||||
\(36\) | −0.0733240 | + | 0.150336i | −0.0122207 | + | 0.0250561i | ||||
\(37\) | 1.97832 | + | 2.72293i | 0.325235 | + | 0.447647i | 0.940056 | − | 0.341019i | \(-0.110772\pi\) |
−0.614822 | + | 0.788666i | \(0.710772\pi\) | |||||||
\(38\) | 0.228636 | + | 4.35290i | 0.0370896 | + | 0.706133i | ||||
\(39\) | 7.50957 | + | 5.45602i | 1.20249 | + | 0.873662i | ||||
\(40\) | 2.20016 | + | 0.399105i | 0.347876 | + | 0.0631040i | ||||
\(41\) | 1.96277 | − | 7.87223i | 0.306533 | − | 1.22944i | −0.597464 | − | 0.801896i | \(-0.703825\pi\) |
0.903997 | − | 0.427540i | \(-0.140620\pi\) | |||||||
\(42\) | −8.38499 | + | 0.292810i | −1.29383 | + | 0.0451816i | ||||
\(43\) | 2.68869 | − | 7.38712i | 0.410022 | − | 1.12652i | −0.547158 | − | 0.837029i | \(-0.684290\pi\) |
0.957179 | − | 0.289495i | \(-0.0934875\pi\) | |||||||
\(44\) | −2.96309 | + | 1.85155i | −0.446703 | + | 0.279131i | ||||
\(45\) | −0.373228 | + | 0.0242564i | −0.0556375 | + | 0.00361593i | ||||
\(46\) | 0.653550 | − | 0.725841i | 0.0963607 | − | 0.107019i | ||||
\(47\) | 0.405070 | + | 2.88222i | 0.0590856 | + | 0.420416i | 0.997243 | + | 0.0742065i | \(0.0236424\pi\) |
−0.938157 | + | 0.346209i | \(0.887469\pi\) | |||||||
\(48\) | −1.16916 | − | 1.21070i | −0.168754 | − | 0.174750i | ||||
\(49\) | 8.92506 | + | 15.4587i | 1.27501 | + | 2.20838i | ||||
\(50\) | 1.66385 | + | 4.71504i | 0.235303 | + | 0.666808i | ||||
\(51\) | −8.33278 | − | 6.99204i | −1.16682 | − | 0.979081i | ||||
\(52\) | 4.57223 | − | 3.08401i | 0.634055 | − | 0.427675i | ||||
\(53\) | 7.86553 | − | 6.14523i | 1.08041 | − | 0.844112i | 0.0919793 | − | 0.995761i | \(-0.470681\pi\) |
0.988434 | + | 0.151649i | \(0.0484584\pi\) | |||||||
\(54\) | 4.52072 | + | 2.82486i | 0.615192 | + | 0.384415i | ||||
\(55\) | −6.88024 | − | 3.70177i | −0.927731 | − | 0.499146i | ||||
\(56\) | −1.54045 | + | 4.74101i | −0.205851 | + | 0.633544i | ||||
\(57\) | 7.32634 | + | 0.383099i | 0.970397 | + | 0.0507427i | ||||
\(58\) | −1.74026 | − | 0.565445i | −0.228508 | − | 0.0742466i | ||||
\(59\) | −1.04710 | − | 1.01117i | −0.136321 | − | 0.131644i | 0.623372 | − | 0.781925i | \(-0.285762\pi\) |
−0.759693 | + | 0.650281i | \(0.774651\pi\) | |||||||
\(60\) | 1.05512 | − | 3.61253i | 0.136215 | − | 0.466376i | ||||
\(61\) | 10.2936 | + | 2.95164i | 1.31796 | + | 0.377919i | 0.859654 | − | 0.510876i | \(-0.170679\pi\) |
0.458305 | + | 0.888795i | \(0.348457\pi\) | |||||||
\(62\) | 0.174272 | + | 0.607760i | 0.0221326 | + | 0.0771855i | ||||
\(63\) | 0.0581638 | − | 0.831781i | 0.00732795 | − | 0.104795i | ||||
\(64\) | −0.913545 | + | 0.406737i | −0.114193 | + | 0.0508421i | ||||
\(65\) | 11.0574 | + | 5.46046i | 1.37150 | + | 0.677287i | ||||
\(66\) | 2.57792 | + | 5.28553i | 0.317320 | + | 0.650603i | ||||
\(67\) | −0.259440 | + | 0.487936i | −0.0316956 | + | 0.0596108i | −0.898292 | − | 0.439399i | \(-0.855192\pi\) |
0.866597 | + | 0.499009i | \(0.166303\pi\) | |||||||
\(68\) | −5.59711 | + | 3.23149i | −0.678749 | + | 0.391876i | ||||
\(69\) | −1.09997 | − | 1.22164i | −0.132421 | − | 0.147069i | ||||
\(70\) | −10.9144 | + | 2.26394i | −1.30453 | + | 0.270593i | ||||
\(71\) | 0.0679938 | − | 1.94709i | 0.00806938 | − | 0.231077i | −0.988655 | − | 0.150204i | \(-0.952007\pi\) |
0.996724 | − | 0.0808729i | \(-0.0257708\pi\) | |||||||
\(72\) | 0.131806 | − | 0.102978i | 0.0155335 | − | 0.0121361i | ||||
\(73\) | −0.138907 | − | 1.98646i | −0.0162578 | − | 0.232498i | −0.998896 | − | 0.0469676i | \(-0.985044\pi\) |
0.982639 | − | 0.185530i | \(-0.0594002\pi\) | |||||||
\(74\) | −0.584452 | − | 3.31459i | −0.0679412 | − | 0.385314i | ||||
\(75\) | 8.18501 | − | 1.95552i | 0.945123 | − | 0.225804i | ||||
\(76\) | 1.70269 | − | 4.01259i | 0.195312 | − | 0.460275i | ||||
\(77\) | 10.2378 | − | 14.0912i | 1.16671 | − | 1.60584i | ||||
\(78\) | −4.35779 | − | 8.19581i | −0.493423 | − | 0.927993i | ||||
\(79\) | 10.2035 | + | 6.37583i | 1.14798 | + | 0.717337i | 0.964081 | − | 0.265609i | \(-0.0855730\pi\) |
0.183898 | + | 0.982945i | \(0.441129\pi\) | |||||||
\(80\) | −1.80254 | − | 1.32320i | −0.201530 | − | 0.147938i | ||||
\(81\) | 5.21479 | − | 6.67463i | 0.579422 | − | 0.741626i | ||||
\(82\) | −5.21508 | + | 6.21509i | −0.575909 | + | 0.686342i | ||||
\(83\) | 3.99434 | − | 3.59652i | 0.438435 | − | 0.394769i | −0.420137 | − | 0.907460i | \(-0.638018\pi\) |
0.858573 | + | 0.512691i | \(0.171351\pi\) | |||||||
\(84\) | 7.66474 | + | 3.41256i | 0.836292 | + | 0.372341i | ||||
\(85\) | −12.4799 | − | 7.28725i | −1.35363 | − | 0.790413i | ||||
\(86\) | −5.65488 | + | 5.46085i | −0.609781 | + | 0.588859i | ||||
\(87\) | −1.25263 | + | 2.81346i | −0.134297 | + | 0.301635i | ||||
\(88\) | 3.47488 | − | 0.365224i | 0.370423 | − | 0.0389330i | ||||
\(89\) | −0.554119 | − | 2.22245i | −0.0587365 | − | 0.235579i | 0.933751 | − | 0.357922i | \(-0.116515\pi\) |
−0.992488 | + | 0.122343i | \(0.960959\pi\) | |||||||
\(90\) | 0.346088 | + | 0.141811i | 0.0364809 | + | 0.0149482i | ||||
\(91\) | −15.3738 | + | 22.7925i | −1.61161 | + | 2.38931i | ||||
\(92\) | −0.905594 | + | 0.365884i | −0.0944147 | + | 0.0381460i | ||||
\(93\) | 1.04796 | − | 0.184784i | 0.108668 | − | 0.0191612i | ||||
\(94\) | 0.899409 | − | 2.76810i | 0.0927670 | − | 0.285507i | ||||
\(95\) | 9.67973 | − | 1.14142i | 0.993119 | − | 0.117107i | ||||
\(96\) | 0.520098 | + | 1.60070i | 0.0530823 | + | 0.163371i | ||||
\(97\) | −1.72533 | − | 3.24488i | −0.175181 | − | 0.329467i | 0.779854 | − | 0.625962i | \(-0.215293\pi\) |
−0.955035 | + | 0.296494i | \(0.904182\pi\) | |||||||
\(98\) | −1.24516 | − | 17.8066i | −0.125780 | − | 1.79874i | ||||
\(99\) | −0.549180 | + | 0.199885i | −0.0551947 | + | 0.0200892i | ||||
\(100\) | 0.571483 | − | 4.96723i | 0.0571483 | − | 0.496723i | ||||
\(101\) | −6.22931 | − | 5.22701i | −0.619840 | − | 0.520107i | 0.277914 | − | 0.960606i | \(-0.410357\pi\) |
−0.897753 | + | 0.440499i | \(0.854802\pi\) | |||||||
\(102\) | 4.42435 | + | 9.93725i | 0.438076 | + | 0.983934i | ||||
\(103\) | −12.3539 | − | 11.1235i | −1.21726 | − | 1.09603i | −0.992580 | − | 0.121595i | \(-0.961199\pi\) |
−0.224682 | − | 0.974432i | \(-0.572134\pi\) | |||||||
\(104\) | −5.46144 | + | 0.767555i | −0.535538 | + | 0.0752650i | ||||
\(105\) | 1.86934 | + | 18.6675i | 0.182429 | + | 1.82176i | ||||
\(106\) | −9.76338 | + | 2.07527i | −0.948303 | + | 0.201568i | ||||
\(107\) | −0.524008 | − | 0.302536i | −0.0506577 | − | 0.0292473i | 0.474457 | − | 0.880279i | \(-0.342644\pi\) |
−0.525115 | + | 0.851031i | \(0.675978\pi\) | |||||||
\(108\) | −2.82486 | − | 4.52072i | −0.271822 | − | 0.435007i | ||||
\(109\) | −10.9935 | + | 3.15233i | −1.05298 | + | 0.301938i | −0.757109 | − | 0.653289i | \(-0.773389\pi\) |
−0.295874 | + | 0.955227i | \(0.595611\pi\) | |||||||
\(110\) | 4.56117 | + | 6.34323i | 0.434891 | + | 0.604803i | ||||
\(111\) | −5.65097 | + | 0.395154i | −0.536366 | + | 0.0375064i | ||||
\(112\) | 3.46287 | − | 3.58590i | 0.327210 | − | 0.338836i | ||||
\(113\) | −9.33088 | − | 12.8429i | −0.877775 | − | 1.20815i | −0.977032 | − | 0.213092i | \(-0.931646\pi\) |
0.0992566 | − | 0.995062i | \(-0.468354\pi\) | |||||||
\(114\) | −6.41693 | − | 3.55598i | −0.601000 | − | 0.333048i | ||||
\(115\) | −1.71439 | − | 1.35305i | −0.159868 | − | 0.126172i | ||||
\(116\) | 1.31626 | + | 1.27110i | 0.122212 | + | 0.118019i | ||||
\(117\) | 0.855311 | − | 0.345568i | 0.0790735 | − | 0.0319478i | ||||
\(118\) | 0.497859 | + | 1.36786i | 0.0458316 | + | 0.125921i | ||||
\(119\) | 19.8353 | − | 25.3881i | 1.81830 | − | 2.32732i | ||||
\(120\) | −2.53196 | + | 2.78439i | −0.231135 | + | 0.254179i | ||||
\(121\) | −1.18176 | − | 0.251190i | −0.107432 | − | 0.0228354i | ||||
\(122\) | −7.95791 | − | 7.16533i | −0.720475 | − | 0.648719i | ||||
\(123\) | 9.48567 | + | 9.82270i | 0.855294 | + | 0.885683i | ||||
\(124\) | 0.109789 | − | 0.622647i | 0.00985938 | − | 0.0559153i | ||||
\(125\) | 10.2797 | − | 4.39641i | 0.919442 | − | 0.393226i | ||||
\(126\) | −0.416906 | + | 0.722103i | −0.0371410 | + | 0.0643300i | ||||
\(127\) | 20.1631 | − | 5.02722i | 1.78918 | − | 0.446093i | 0.800909 | − | 0.598786i | \(-0.204350\pi\) |
0.988274 | + | 0.152692i | \(0.0487944\pi\) | |||||||
\(128\) | 0.999391 | + | 0.0348995i | 0.0883345 | + | 0.00308471i | ||||
\(129\) | 8.14581 | + | 10.4262i | 0.717198 | + | 0.917972i | ||||
\(130\) | −7.54460 | − | 9.75506i | −0.661705 | − | 0.855576i | ||||
\(131\) | −18.8245 | − | 2.64561i | −1.64470 | − | 0.231148i | −0.744815 | − | 0.667271i | \(-0.767462\pi\) |
−0.899887 | + | 0.436124i | \(0.856351\pi\) | |||||||
\(132\) | − | 5.88069i | − | 0.511848i | ||||||
\(133\) | −0.376686 | + | 21.7258i | −0.0326628 | + | 1.88387i | ||||
\(134\) | 0.447080 | − | 0.324823i | 0.0386218 | − | 0.0280604i | ||||
\(135\) | 5.64770 | − | 10.4970i | 0.486076 | − | 0.903439i | ||||
\(136\) | 6.44724 | − | 0.450835i | 0.552846 | − | 0.0386588i | ||||
\(137\) | −14.3828 | − | 9.70129i | −1.22880 | − | 0.828838i | −0.238963 | − | 0.971029i | \(-0.576807\pi\) |
−0.989839 | + | 0.142191i | \(0.954585\pi\) | |||||||
\(138\) | 0.453116 | + | 1.58020i | 0.0385718 | + | 0.134516i | ||||
\(139\) | −5.29447 | − | 21.2350i | −0.449071 | − | 1.80113i | −0.585728 | − | 0.810508i | \(-0.699191\pi\) |
0.136657 | − | 0.990618i | \(-0.456364\pi\) | |||||||
\(140\) | 10.8023 | + | 2.74976i | 0.912960 | + | 0.232397i | ||||
\(141\) | −4.47516 | − | 1.99247i | −0.376876 | − | 0.167796i | ||||
\(142\) | −0.914660 | + | 1.72022i | −0.0767565 | + | 0.144358i | ||||
\(143\) | 18.9771 | + | 3.34618i | 1.58695 | + | 0.279822i | ||||
\(144\) | −0.163609 | + | 0.0347763i | −0.0136341 | + | 0.00289802i | ||||
\(145\) | −1.00934 | + | 3.96515i | −0.0838214 | + | 0.329288i | ||||
\(146\) | −0.745959 | + | 1.84631i | −0.0617360 | + | 0.152802i | ||||
\(147\) | −30.0248 | − | 1.04849i | −2.47640 | − | 0.0864778i | ||||
\(148\) | −0.927720 | + | 3.23534i | −0.0762581 | + | 0.265944i | ||||
\(149\) | −5.84703 | + | 4.90624i | −0.479007 | + | 0.401935i | −0.850067 | − | 0.526674i | \(-0.823439\pi\) |
0.371060 | + | 0.928609i | \(0.378994\pi\) | |||||||
\(150\) | −8.21388 | − | 1.83046i | −0.670660 | − | 0.149456i | ||||
\(151\) | 2.61396 | 0.212721 | 0.106360 | − | 0.994328i | \(-0.466080\pi\) | ||||
0.106360 | + | 0.994328i | \(0.466080\pi\) | |||||||
\(152\) | −3.28937 | + | 2.86008i | −0.266803 | + | 0.231983i | ||||
\(153\) | −1.02812 | + | 0.334056i | −0.0831185 | + | 0.0270068i | ||||
\(154\) | −15.3789 | + | 8.17709i | −1.23926 | + | 0.658928i | ||||
\(155\) | 1.33086 | − | 0.477000i | 0.106897 | − | 0.0383136i | ||||
\(156\) | 0.323949 | + | 9.27668i | 0.0259367 | + | 0.742729i | ||||
\(157\) | −4.49926 | + | 12.3616i | −0.359080 | + | 0.986564i | 0.620269 | + | 0.784389i | \(0.287023\pi\) |
−0.979349 | + | 0.202175i | \(0.935199\pi\) | |||||||
\(158\) | −6.37583 | − | 10.2035i | −0.507234 | − | 0.811743i | ||||
\(159\) | 1.75604 | + | 16.7076i | 0.139263 | + | 1.32500i | ||||
\(160\) | 1.04006 | + | 1.97947i | 0.0822237 | + | 0.156490i | ||||
\(161\) | 3.50240 | − | 3.38223i | 0.276028 | − | 0.266557i | ||||
\(162\) | −7.61299 | + | 3.71310i | −0.598133 | + | 0.291729i | ||||
\(163\) | −4.42937 | + | 9.94852i | −0.346935 | + | 0.779228i | 0.652829 | + | 0.757505i | \(0.273582\pi\) |
−0.999764 | + | 0.0217231i | \(0.993085\pi\) | |||||||
\(164\) | 7.41180 | − | 3.29995i | 0.578764 | − | 0.257683i | ||||
\(165\) | 11.4201 | − | 6.51877i | 0.889051 | − | 0.507486i | ||||
\(166\) | −5.16670 | + | 1.48153i | −0.401013 | + | 0.114989i | ||||
\(167\) | −12.4518 | + | 0.434827i | −0.963551 | + | 0.0336479i | −0.512352 | − | 0.858776i | \(-0.671226\pi\) |
−0.451199 | + | 0.892423i | \(0.649003\pi\) | |||||||
\(168\) | −5.39305 | − | 6.42719i | −0.416083 | − | 0.495869i | ||||
\(169\) | −17.2469 | − | 2.42390i | −1.32669 | − | 0.186454i | ||||
\(170\) | 8.02231 | + | 12.0205i | 0.615283 | + | 0.921934i | ||||
\(171\) | 0.418119 | − | 0.597284i | 0.0319743 | − | 0.0456754i | ||||
\(172\) | 7.47645 | − | 2.42925i | 0.570074 | − | 0.185228i | ||||
\(173\) | 16.0030 | + | 7.80518i | 1.21669 | + | 0.593417i | 0.931040 | − | 0.364918i | \(-0.118903\pi\) |
0.285646 | + | 0.958335i | \(0.407792\pi\) | |||||||
\(174\) | 2.35920 | − | 1.97961i | 0.178851 | − | 0.150074i | ||||
\(175\) | 6.63446 | + | 24.0258i | 0.501518 | + | 1.81618i | ||||
\(176\) | −3.28330 | − | 1.19502i | −0.247488 | − | 0.0900783i | ||||
\(177\) | 2.37718 | − | 0.592697i | 0.178680 | − | 0.0445498i | ||||
\(178\) | −0.476219 | + | 2.24043i | −0.0356941 | + | 0.167928i | ||||
\(179\) | −16.5952 | + | 18.4309i | −1.24039 | + | 1.37759i | −0.341219 | + | 0.939984i | \(0.610840\pi\) |
−0.899167 | + | 0.437605i | \(0.855827\pi\) | |||||||
\(180\) | −0.248896 | − | 0.279174i | −0.0185516 | − | 0.0208084i | ||||
\(181\) | 11.1742 | + | 5.94145i | 0.830575 | + | 0.441625i | 0.829589 | − | 0.558375i | \(-0.188575\pi\) |
0.000986324 | 1.00000i | \(0.499686\pi\) | ||||||||
\(182\) | 23.8094 | − | 13.7464i | 1.76487 | − | 1.01895i | ||||
\(183\) | −13.3937 | + | 12.0598i | −0.990094 | + | 0.891484i | ||||
\(184\) | 0.974336 | + | 0.0681322i | 0.0718290 | + | 0.00502277i | ||||
\(185\) | −7.31130 | + | 1.78480i | −0.537537 | + | 0.131221i | ||||
\(186\) | −1.02290 | − | 0.293313i | −0.0750030 | − | 0.0215068i | ||||
\(187\) | −21.9110 | − | 5.46303i | −1.60229 | − | 0.399496i | ||||
\(188\) | −2.02184 | + | 2.09367i | −0.147458 | + | 0.152697i | ||||
\(189\) | 21.4986 | + | 15.6196i | 1.56379 | + | 1.13616i | ||||
\(190\) | −9.20045 | − | 3.21742i | −0.667471 | − | 0.233416i | ||||
\(191\) | −4.13417 | + | 3.00365i | −0.299138 | + | 0.217336i | −0.727222 | − | 0.686403i | \(-0.759189\pi\) |
0.428084 | + | 0.903739i | \(0.359189\pi\) | |||||||
\(192\) | 0.234239 | − | 1.66669i | 0.0169047 | − | 0.120283i | ||||
\(193\) | −6.92988 | − | 8.25872i | −0.498824 | − | 0.594475i | 0.456615 | − | 0.889664i | \(-0.349062\pi\) |
−0.955439 | + | 0.295189i | \(0.904617\pi\) | |||||||
\(194\) | 0.128257 | + | 3.67281i | 0.00920835 | + | 0.263693i | ||||
\(195\) | −17.6559 | + | 10.9123i | −1.26436 | + | 0.781449i | ||||
\(196\) | −6.68678 | + | 16.5503i | −0.477627 | + | 1.18217i | ||||
\(197\) | −3.07455 | + | 14.4646i | −0.219053 | + | 1.03056i | 0.721893 | + | 0.692004i | \(0.243272\pi\) |
−0.940946 | + | 0.338557i | \(0.890061\pi\) | |||||||
\(198\) | 0.581224 | + | 0.0610891i | 0.0413058 | + | 0.00434141i | ||||
\(199\) | 4.32219 | − | 24.5124i | 0.306392 | − | 1.73764i | −0.310488 | − | 0.950577i | \(-0.600492\pi\) |
0.616880 | − | 0.787058i | \(-0.288397\pi\) | |||||||
\(200\) | −2.69114 | + | 4.21400i | −0.190292 | + | 0.297975i | ||||
\(201\) | −0.465051 | − | 0.805492i | −0.0328022 | − | 0.0568150i | ||||
\(202\) | 3.30750 | + | 7.42876i | 0.232715 | + | 0.522686i | ||||
\(203\) | −8.45743 | − | 3.41702i | −0.593595 | − | 0.239828i | ||||
\(204\) | 0.379625 | − | 10.8710i | 0.0265791 | − | 0.761126i | ||||
\(205\) | 14.6244 | + | 10.7354i | 1.02141 | + | 0.749795i | ||||
\(206\) | 6.22737 | + | 15.4133i | 0.433881 | + | 1.07389i | ||||
\(207\) | −0.160888 | + | 0.0283689i | −0.0111825 | + | 0.00197177i | ||||
\(208\) | 5.24518 | + | 1.70426i | 0.363688 | + | 0.118169i | ||||
\(209\) | 14.0187 | − | 5.95250i | 0.969691 | − | 0.411743i | ||||
\(210\) | 6.50313 | − | 17.5977i | 0.448759 | − | 1.21436i | ||||
\(211\) | 3.00775 | − | 6.16680i | 0.207062 | − | 0.424540i | −0.769837 | − | 0.638240i | \(-0.779663\pi\) |
0.976899 | + | 0.213700i | \(0.0685516\pi\) | |||||||
\(212\) | 9.68501 | + | 2.41474i | 0.665169 | + | 0.165845i | ||||
\(213\) | 2.71849 | + | 1.83364i | 0.186268 | + | 0.125639i | ||||
\(214\) | 0.338352 | + | 0.501627i | 0.0231293 | + | 0.0342905i | ||||
\(215\) | 13.0052 | + | 11.8262i | 0.886947 | + | 0.806537i | ||||
\(216\) | 0.557214 | + | 5.30154i | 0.0379136 | + | 0.360724i | ||||
\(217\) | 0.655290 | + | 3.08290i | 0.0444840 | + | 0.209281i | ||||
\(218\) | 11.2628 | + | 1.98593i | 0.762810 | + | 0.134504i | ||||
\(219\) | 2.95922 | + | 1.57345i | 0.199966 | + | 0.106324i | ||||
\(220\) | −1.31887 | − | 7.70074i | −0.0889180 | − | 0.519184i | ||||
\(221\) | 34.8652 | + | 7.41082i | 2.34528 | + | 0.498506i | ||||
\(222\) | 5.25228 | + | 2.12206i | 0.352510 | + | 0.142423i | ||||
\(223\) | −2.37616 | + | 1.60274i | −0.159119 | + | 0.107327i | −0.636172 | − | 0.771548i | \(-0.719483\pi\) |
0.477052 | + | 0.878875i | \(0.341705\pi\) | |||||||
\(224\) | −4.68436 | + | 1.70497i | −0.312987 | + | 0.113918i | ||||
\(225\) | 0.266242 | − | 0.792812i | 0.0177495 | − | 0.0528541i | ||||
\(226\) | 2.75660 | + | 15.6335i | 0.183366 | + | 1.03992i | ||||
\(227\) | −10.6548 | + | 14.6650i | −0.707183 | + | 0.973353i | 0.292671 | + | 0.956213i | \(0.405456\pi\) |
−0.999853 | + | 0.0171399i | \(0.994544\pi\) | |||||||
\(228\) | 4.20866 | + | 6.00909i | 0.278725 | + | 0.397962i | ||||
\(229\) | −2.78578 | − | 8.57376i | −0.184090 | − | 0.566570i | 0.815842 | − | 0.578275i | \(-0.196274\pi\) |
−0.999931 | + | 0.0117051i | \(0.996274\pi\) | |||||||
\(230\) | 0.947746 | + | 1.96765i | 0.0624925 | + | 0.129743i | ||||
\(231\) | 10.9817 | + | 27.1805i | 0.722540 | + | 1.78835i | ||||
\(232\) | −0.625835 | − | 1.71947i | −0.0410881 | − | 0.112889i | ||||
\(233\) | 21.8139 | + | 17.0429i | 1.42907 | + | 1.11652i | 0.974128 | + | 0.225996i | \(0.0725638\pi\) |
0.454946 | + | 0.890519i | \(0.349658\pi\) | |||||||
\(234\) | −0.920235 | − | 0.0643491i | −0.0601577 | − | 0.00420663i | ||||
\(235\) | −6.30705 | − | 1.60548i | −0.411427 | − | 0.104730i | ||||
\(236\) | 0.152156 | − | 1.44767i | 0.00990451 | − | 0.0942351i | ||||
\(237\) | −18.2008 | + | 8.87711i | −1.18227 | + | 0.576630i | ||||
\(238\) | −28.9573 | + | 14.1234i | −1.87702 | + | 0.915484i | ||||
\(239\) | 2.74832 | − | 26.1486i | 0.177774 | − | 1.69141i | −0.434427 | − | 0.900707i | \(-0.643049\pi\) |
0.612201 | − | 0.790702i | \(-0.290284\pi\) | |||||||
\(240\) | 3.49631 | − | 1.39266i | 0.225686 | − | 0.0898956i | ||||
\(241\) | −3.90191 | − | 0.272848i | −0.251344 | − | 0.0175757i | −0.0564712 | − | 0.998404i | \(-0.517985\pi\) |
−0.194873 | + | 0.980829i | \(0.562429\pi\) | |||||||
\(242\) | 0.952041 | + | 0.743816i | 0.0611995 | + | 0.0478143i | ||||
\(243\) | −0.593815 | − | 1.63149i | −0.0380933 | − | 0.104660i | ||||
\(244\) | 4.01144 | + | 9.92867i | 0.256806 | + | 0.635618i | ||||
\(245\) | −39.5525 | + | 5.36069i | −2.52691 | + | 0.342482i | ||||
\(246\) | −4.21967 | − | 12.9868i | −0.269037 | − | 0.828010i | ||||
\(247\) | −21.7863 | + | 10.1622i | −1.38623 | + | 0.646606i | ||||
\(248\) | −0.371628 | + | 0.511503i | −0.0235984 | + | 0.0324804i | ||||
\(249\) | 1.57089 | + | 8.90893i | 0.0995508 | + | 0.564581i | ||||
\(250\) | −11.1666 | − | 0.554848i | −0.706235 | − | 0.0350916i | ||||
\(251\) | 11.2882 | − | 4.10857i | 0.712504 | − | 0.259330i | 0.0397641 | − | 0.999209i | \(-0.487339\pi\) |
0.672740 | + | 0.739879i | \(0.265117\pi\) | |||||||
\(252\) | 0.691262 | − | 0.466262i | 0.0435454 | − | 0.0293717i | ||||
\(253\) | −3.16416 | − | 1.27840i | −0.198929 | − | 0.0803726i | ||||
\(254\) | −20.3262 | − | 4.32047i | −1.27538 | − | 0.271091i | ||||
\(255\) | 21.5320 | − | 11.3134i | 1.34838 | − | 0.708472i | ||||
\(256\) | −0.882948 | − | 0.469472i | −0.0551842 | − | 0.0293420i | ||||
\(257\) | 5.96188 | + | 1.05124i | 0.371892 | + | 0.0655745i | 0.356471 | − | 0.934307i | \(-0.383980\pi\) |
0.0154211 | + | 0.999881i | \(0.495091\pi\) | |||||||
\(258\) | −2.75088 | − | 12.9419i | −0.171262 | − | 0.805725i | ||||
\(259\) | −1.75379 | − | 16.6862i | −0.108975 | − | 1.03683i | ||||
\(260\) | 2.50470 | + | 12.0751i | 0.155335 | + | 0.748868i | ||||
\(261\) | 0.171149 | + | 0.253738i | 0.0105938 | + | 0.0157060i | ||||
\(262\) | 15.7596 | + | 10.6300i | 0.973629 | + | 0.656721i | ||||
\(263\) | −10.1285 | − | 2.52531i | −0.624548 | − | 0.155717i | −0.0832232 | − | 0.996531i | \(-0.526521\pi\) |
−0.541325 | + | 0.840814i | \(0.682077\pi\) | |||||||
\(264\) | −2.57792 | + | 5.28553i | −0.158660 | + | 0.325302i | ||||
\(265\) | 6.04654 | + | 21.4847i | 0.371436 | + | 1.31979i | ||||
\(266\) | 9.86253 | − | 19.3619i | 0.604710 | − | 1.18715i | ||||
\(267\) | 3.66638 | + | 1.19128i | 0.224379 | + | 0.0729050i | ||||
\(268\) | −0.544226 | + | 0.0959617i | −0.0332439 | + | 0.00586179i | ||||
\(269\) | −2.89731 | − | 7.17108i | −0.176652 | − | 0.437229i | 0.812717 | − | 0.582659i | \(-0.197988\pi\) |
−0.989368 | + | 0.145431i | \(0.953543\pi\) | |||||||
\(270\) | −9.67771 | + | 6.95887i | −0.588966 | + | 0.423503i | ||||
\(271\) | 0.803273 | − | 23.0027i | 0.0487954 | − | 1.39732i | −0.690206 | − | 0.723613i | \(-0.742480\pi\) |
0.739001 | − | 0.673704i | \(-0.235298\pi\) | |||||||
\(272\) | −5.99237 | − | 2.42108i | −0.363341 | − | 0.146799i | ||||
\(273\) | −18.8207 | − | 42.2719i | −1.13908 | − | 2.55841i | ||||
\(274\) | 8.67437 | + | 15.0245i | 0.524038 | + | 0.907660i | ||||
\(275\) | 13.4926 | − | 11.0975i | 0.813633 | − | 0.669204i | ||||
\(276\) | 0.285457 | − | 1.61891i | 0.0171825 | − | 0.0974468i | ||||
\(277\) | −10.3437 | − | 1.08716i | −0.621491 | − | 0.0653213i | −0.211451 | − | 0.977389i | \(-0.567819\pi\) |
−0.410040 | + | 0.912067i | \(0.634485\pi\) | |||||||
\(278\) | −4.55016 | + | 21.4068i | −0.272900 | + | 1.28389i | ||||
\(279\) | 0.0396159 | − | 0.0980528i | 0.00237174 | − | 0.00587027i | ||||
\(280\) | −8.50362 | − | 7.20688i | −0.508188 | − | 0.430693i | ||||
\(281\) | −0.543810 | − | 15.5727i | −0.0324410 | − | 0.928989i | −0.901109 | − | 0.433593i | \(-0.857245\pi\) |
0.868668 | − | 0.495395i | \(-0.164977\pi\) | |||||||
\(282\) | 3.14880 | + | 3.75260i | 0.187509 | + | 0.223464i | ||||
\(283\) | 1.05368 | − | 7.49735i | 0.0626350 | − | 0.445671i | −0.933553 | − | 0.358439i | \(-0.883309\pi\) |
0.996188 | − | 0.0872318i | \(-0.0278021\pi\) | |||||||
\(284\) | 1.57619 | − | 1.14517i | 0.0935295 | − | 0.0679532i | ||||
\(285\) | −7.00411 | + | 14.8342i | −0.414887 | + | 0.878700i | ||||
\(286\) | −15.5897 | − | 11.3266i | −0.921836 | − | 0.669753i | ||||
\(287\) | −28.0950 | + | 29.0932i | −1.65840 | + | 1.71732i | ||||
\(288\) | 0.162296 | + | 0.0404650i | 0.00956339 | + | 0.00238442i | ||||
\(289\) | −23.8106 | − | 6.82758i | −1.40062 | − | 0.401623i | ||||
\(290\) | 2.64540 | − | 3.12139i | 0.155343 | − | 0.183294i | ||||
\(291\) | 6.17031 | + | 0.431470i | 0.361710 | + | 0.0252932i | ||||
\(292\) | 1.47983 | − | 1.33245i | 0.0866007 | − | 0.0779756i | ||||
\(293\) | −4.52653 | + | 2.61340i | −0.264443 | + | 0.152676i | −0.626360 | − | 0.779534i | \(-0.715456\pi\) |
0.361917 | + | 0.932210i | \(0.382122\pi\) | |||||||
\(294\) | 26.5265 | + | 14.1044i | 1.54705 | + | 0.822583i | ||||
\(295\) | 2.97998 | − | 1.30927i | 0.173501 | − | 0.0762284i | ||||
\(296\) | 2.25211 | − | 2.50122i | 0.130901 | − | 0.145381i | ||||
\(297\) | 3.87250 | − | 18.2187i | 0.224705 | − | 1.05715i | ||||
\(298\) | 7.40603 | − | 1.84653i | 0.429020 | − | 0.106967i | ||||
\(299\) | 5.06183 | + | 1.84236i | 0.292733 | + | 0.106546i | ||||
\(300\) | 6.58016 | + | 5.24593i | 0.379906 | + | 0.302874i | ||||
\(301\) | −30.0198 | + | 25.1896i | −1.73031 | + | 1.45190i | ||||
\(302\) | −2.34941 | − | 1.14588i | −0.135193 | − | 0.0659382i | ||||
\(303\) | 13.0165 | − | 4.22933i | 0.747780 | − | 0.242969i | ||||
\(304\) | 4.21024 | − | 1.12866i | 0.241474 | − | 0.0647330i | ||||
\(305\) | −14.8344 | + | 18.7961i | −0.849415 | + | 1.07626i | ||||
\(306\) | 1.07051 | + | 0.150450i | 0.0611969 | + | 0.00860066i | ||||
\(307\) | −6.65774 | − | 7.93438i | −0.379977 | − | 0.452839i | 0.541830 | − | 0.840488i | \(-0.317732\pi\) |
−0.921807 | + | 0.387649i | \(0.873287\pi\) | |||||||
\(308\) | 17.4070 | − | 0.607867i | 0.991858 | − | 0.0346364i | ||||
\(309\) | 26.8951 | − | 7.71206i | 1.53001 | − | 0.438724i | ||||
\(310\) | −1.40527 | − | 0.154685i | −0.0798140 | − | 0.00878551i | ||||
\(311\) | 6.85305 | − | 3.05117i | 0.388601 | − | 0.173016i | −0.203130 | − | 0.979152i | \(-0.565111\pi\) |
0.591731 | + | 0.806136i | \(0.298445\pi\) | |||||||
\(312\) | 3.77547 | − | 8.47983i | 0.213744 | − | 0.480076i | ||||
\(313\) | 14.3985 | − | 7.02261i | 0.813851 | − | 0.396942i | 0.0160563 | − | 0.999871i | \(-0.494889\pi\) |
0.797794 | + | 0.602930i | \(0.206000\pi\) | |||||||
\(314\) | 9.46288 | − | 9.13820i | 0.534021 | − | 0.515698i | ||||
\(315\) | 1.67173 | + | 0.825550i | 0.0941913 | + | 0.0465145i | ||||
\(316\) | 1.25765 | + | 11.9658i | 0.0707486 | + | 0.673128i | ||||
\(317\) | −4.47284 | − | 7.15804i | −0.251220 | − | 0.402035i | 0.698270 | − | 0.715835i | \(-0.253954\pi\) |
−0.949489 | + | 0.313799i | \(0.898398\pi\) | |||||||
\(318\) | 5.74580 | − | 15.7865i | 0.322208 | − | 0.885261i | ||||
\(319\) | 0.223127 | + | 6.38953i | 0.0124927 | + | 0.357745i | ||||
\(320\) | −0.0670562 | − | 2.23506i | −0.00374856 | − | 0.124944i | ||||
\(321\) | 0.899176 | − | 0.478101i | 0.0501871 | − | 0.0266850i | ||||
\(322\) | −4.63061 | + | 1.50458i | −0.258054 | + | 0.0838468i | ||||
\(323\) | 26.2992 | − | 10.0988i | 1.46333 | − | 0.561914i | ||||
\(324\) | 8.47023 | 0.470568 | ||||||||
\(325\) | −20.6730 | + | 18.2494i | −1.14673 | + | 1.01229i | ||||
\(326\) | 8.34223 | − | 6.99996i | 0.462033 | − | 0.387692i | ||||
\(327\) | 5.30560 | − | 18.5028i | 0.293400 | − | 1.02321i | ||||
\(328\) | −8.10828 | − | 0.283148i | −0.447705 | − | 0.0156342i | ||||
\(329\) | 5.43519 | − | 13.4526i | 0.299652 | − | 0.741664i | ||||
\(330\) | −13.1219 | + | 0.852805i | −0.722339 | + | 0.0469454i | ||||
\(331\) | −11.9820 | + | 2.54686i | −0.658592 | + | 0.139988i | −0.525072 | − | 0.851058i | \(-0.675962\pi\) |
−0.133521 | + | 0.991046i | \(0.542628\pi\) | |||||||
\(332\) | 5.29325 | + | 0.933344i | 0.290505 | + | 0.0512239i | ||||
\(333\) | −0.264297 | + | 0.497070i | −0.0144834 | + | 0.0272393i | ||||
\(334\) | 11.3822 | + | 5.06770i | 0.622808 | + | 0.277292i | ||||
\(335\) | −0.789631 | − | 0.950491i | −0.0431421 | − | 0.0519309i | ||||
\(336\) | 2.02975 | + | 8.14088i | 0.110732 | + | 0.444121i | ||||
\(337\) | −4.62157 | − | 16.1173i | −0.251753 | − | 0.877966i | −0.981048 | − | 0.193767i | \(-0.937929\pi\) |
0.729295 | − | 0.684200i | \(-0.239848\pi\) | |||||||
\(338\) | 14.4389 | + | 9.73915i | 0.785372 | + | 0.529740i | ||||
\(339\) | 26.6531 | − | 1.86377i | 1.44760 | − | 0.101226i | ||||
\(340\) | −1.94094 | − | 14.3207i | −0.105262 | − | 0.776651i | ||||
\(341\) | 1.78720 | − | 1.29848i | 0.0967822 | − | 0.0703164i | ||||
\(342\) | −0.637635 | + | 0.353544i | −0.0344793 | + | 0.0191175i | ||||
\(343\) | − | 54.0878i | − | 2.92047i | ||||||
\(344\) | −7.78470 | − | 1.09407i | −0.419723 | − | 0.0589882i | ||||
\(345\) | 3.46029 | − | 1.24022i | 0.186296 | − | 0.0667713i | ||||
\(346\) | −10.9618 | − | 14.0305i | −0.589312 | − | 0.754284i | ||||
\(347\) | −13.4627 | − | 0.470127i | −0.722715 | − | 0.0252377i | −0.328819 | − | 0.944393i | \(-0.606651\pi\) |
−0.393896 | + | 0.919155i | \(0.628873\pi\) | |||||||
\(348\) | −2.98824 | + | 0.745052i | −0.160186 | + | 0.0399390i | ||||
\(349\) | −0.192068 | + | 0.332671i | −0.0102812 | + | 0.0178075i | −0.871120 | − | 0.491070i | \(-0.836606\pi\) |
0.860839 | + | 0.508877i | \(0.169939\pi\) | |||||||
\(350\) | 4.56918 | − | 24.5026i | 0.244233 | − | 1.30972i | ||||
\(351\) | −5.10519 | + | 28.9530i | −0.272495 | + | 1.54539i | ||||
\(352\) | 2.42715 | + | 2.51339i | 0.129367 | + | 0.133964i | ||||
\(353\) | −0.853483 | − | 0.768479i | −0.0454263 | − | 0.0409020i | 0.646105 | − | 0.763249i | \(-0.276397\pi\) |
−0.691531 | + | 0.722347i | \(0.743064\pi\) | |||||||
\(354\) | −2.39641 | − | 0.509374i | −0.127368 | − | 0.0270729i | ||||
\(355\) | 3.97108 | + | 1.79147i | 0.210763 | + | 0.0950815i | ||||
\(356\) | 1.41016 | − | 1.80493i | 0.0747386 | − | 0.0956610i | ||||
\(357\) | 18.5461 | + | 50.9549i | 0.981563 | + | 2.69682i | ||||
\(358\) | 22.9953 | − | 9.29069i | 1.21534 | − | 0.491028i | ||||
\(359\) | −5.53017 | − | 5.34042i | −0.291871 | − | 0.281857i | 0.534277 | − | 0.845309i | \(-0.320584\pi\) |
−0.826148 | + | 0.563453i | \(0.809473\pi\) | |||||||
\(360\) | 0.101325 | + | 0.360028i | 0.00534028 | + | 0.0189752i | ||||
\(361\) | −10.0647 | + | 16.1153i | −0.529721 | + | 0.848172i | ||||
\(362\) | −7.43878 | − | 10.2386i | −0.390974 | − | 0.538129i | ||||
\(363\) | 1.41253 | − | 1.46272i | 0.0741386 | − | 0.0767728i | ||||
\(364\) | −27.4258 | + | 1.91780i | −1.43750 | + | 0.100520i | ||||
\(365\) | 4.22797 | + | 1.39675i | 0.221302 | + | 0.0731095i | ||||
\(366\) | 17.3249 | − | 4.96783i | 0.905586 | − | 0.259672i | ||||
\(367\) | 10.9371 | + | 17.5030i | 0.570913 | + | 0.913652i | 0.999946 | + | 0.0103630i | \(0.00329872\pi\) |
−0.429033 | + | 0.903289i | \(0.641146\pi\) | |||||||
\(368\) | −0.845860 | − | 0.488357i | −0.0440935 | − | 0.0254574i | ||||
\(369\) | 1.32740 | − | 0.282148i | 0.0691017 | − | 0.0146880i | ||||
\(370\) | 7.35376 | + | 1.60090i | 0.382304 | + | 0.0832266i | ||||
\(371\) | −49.2734 | + | 6.92493i | −2.55815 | + | 0.359525i | ||||
\(372\) | 0.790800 | + | 0.712039i | 0.0410011 | + | 0.0369175i | ||||
\(373\) | 5.75473 | + | 12.9253i | 0.297969 | + | 0.669249i | 0.999038 | − | 0.0438440i | \(-0.0139604\pi\) |
−0.701070 | + | 0.713093i | \(0.747294\pi\) | |||||||
\(374\) | 17.2986 | + | 14.5153i | 0.894492 | + | 0.750568i | ||||
\(375\) | −2.89326 | + | 18.5936i | −0.149407 | + | 0.960168i | ||||
\(376\) | 2.73502 | − | 0.995467i | 0.141048 | − | 0.0513373i | ||||
\(377\) | −0.703958 | − | 10.0671i | −0.0362557 | − | 0.518481i | ||||
\(378\) | −12.4756 | − | 23.4632i | −0.641675 | − | 1.20681i | ||||
\(379\) | 6.46402 | + | 19.8942i | 0.332034 | + | 1.02190i | 0.968164 | + | 0.250315i | \(0.0805342\pi\) |
−0.636130 | + | 0.771582i | \(0.719466\pi\) | |||||||
\(380\) | 6.85889 | + | 6.92500i | 0.351853 | + | 0.355245i | ||||
\(381\) | −10.8078 | + | 33.2630i | −0.553701 | + | 1.70412i | ||||
\(382\) | 5.03248 | − | 0.887361i | 0.257484 | − | 0.0454014i | ||||
\(383\) | 1.20975 | − | 0.488770i | 0.0618152 | − | 0.0249750i | −0.343491 | − | 0.939156i | \(-0.611609\pi\) |
0.405306 | + | 0.914181i | \(0.367165\pi\) | |||||||
\(384\) | −0.941163 | + | 1.39533i | −0.0480285 | + | 0.0712052i | ||||
\(385\) | 20.4762 | + | 33.1300i | 1.04357 | + | 1.68846i | ||||
\(386\) | 2.60816 | + | 10.4607i | 0.132752 | + | 0.532438i | ||||
\(387\) | 1.30770 | − | 0.137445i | 0.0664740 | − | 0.00698670i | ||||
\(388\) | 1.49478 | − | 3.35733i | 0.0758859 | − | 0.170442i | ||||
\(389\) | −0.0618953 | + | 0.0597716i | −0.00313822 | + | 0.00303054i | −0.696226 | − | 0.717823i | \(-0.745139\pi\) |
0.693088 | + | 0.720853i | \(0.256250\pi\) | |||||||
\(390\) | 20.6526 | − | 2.06813i | 1.04579 | − | 0.104724i | ||||
\(391\) | −5.76675 | − | 2.56752i | −0.291637 | − | 0.129845i | ||||
\(392\) | 13.2652 | − | 11.9441i | 0.669995 | − | 0.603266i | ||||
\(393\) | 20.5656 | − | 24.5091i | 1.03740 | − | 1.23632i | ||||
\(394\) | 9.10426 | − | 11.6529i | 0.458666 | − | 0.587066i | ||||
\(395\) | −21.8430 | + | 15.7065i | −1.09904 | + | 0.790277i | ||||
\(396\) | −0.495621 | − | 0.309698i | −0.0249059 | − | 0.0155629i | ||||
\(397\) | −9.81401 | − | 18.4575i | −0.492551 | − | 0.926354i | −0.997983 | − | 0.0634869i | \(-0.979778\pi\) |
0.505432 | − | 0.862867i | \(-0.331333\pi\) | |||||||
\(398\) | −14.6303 | + | 20.1368i | −0.733349 | + | 1.00937i | ||||
\(399\) | −30.6739 | − | 19.9147i | −1.53561 | − | 0.996984i | ||||
\(400\) | 4.26607 | − | 2.60780i | 0.213304 | − | 0.130390i | ||||
\(401\) | −1.57952 | − | 8.95792i | −0.0788776 | − | 0.447337i | −0.998511 | − | 0.0545584i | \(-0.982625\pi\) |
0.919633 | − | 0.392779i | \(-0.128486\pi\) | |||||||
\(402\) | 0.0648806 | + | 0.927836i | 0.00323595 | + | 0.0462763i | ||||
\(403\) | −2.74775 | + | 2.14677i | −0.136875 | + | 0.106938i | ||||
\(404\) | 0.283795 | − | 8.12683i | 0.0141193 | − | 0.404325i | ||||
\(405\) | 9.38929 | + | 16.4489i | 0.466558 | + | 0.817350i | ||||
\(406\) | 6.10356 | + | 6.77869i | 0.302915 | + | 0.336421i | ||||
\(407\) | −10.1844 | + | 5.87996i | −0.504821 | + | 0.291459i | ||||
\(408\) | −5.10676 | + | 9.60442i | −0.252822 | + | 0.475490i | ||||
\(409\) | −11.4290 | − | 23.4328i | −0.565125 | − | 1.15868i | −0.969728 | − | 0.244186i | \(-0.921479\pi\) |
0.404603 | − | 0.914492i | \(-0.367410\pi\) | |||||||
\(410\) | −8.43821 | − | 16.0598i | −0.416734 | − | 0.793139i | ||||
\(411\) | 26.6748 | − | 11.8764i | 1.31577 | − | 0.585819i | ||||
\(412\) | 1.15961 | − | 16.5833i | 0.0571301 | − | 0.816999i | ||||
\(413\) | 2.00012 | + | 6.97526i | 0.0984197 | + | 0.343230i | ||||
\(414\) | 0.157041 | + | 0.0450308i | 0.00771815 | + | 0.00221314i | ||||
\(415\) | 4.05508 | + | 11.3139i | 0.199056 | + | 0.555378i | ||||
\(416\) | −3.96724 | − | 3.83112i | −0.194510 | − | 0.187836i | ||||
\(417\) | 35.0313 | + | 11.3824i | 1.71549 | + | 0.557397i | ||||
\(418\) | −15.2093 | − | 0.795303i | −0.743911 | − | 0.0388996i | ||||
\(419\) | −5.11197 | + | 15.7330i | −0.249736 | + | 0.768609i | 0.745085 | + | 0.666969i | \(0.232409\pi\) |
−0.994821 | + | 0.101640i | \(0.967591\pi\) | |||||||
\(420\) | −13.5593 | + | 12.9659i | −0.661626 | + | 0.632671i | ||||
\(421\) | −7.03688 | − | 4.39713i | −0.342957 | − | 0.214303i | 0.347495 | − | 0.937682i | \(-0.387032\pi\) |
−0.690451 | + | 0.723379i | \(0.742588\pi\) | |||||||
\(422\) | −5.40669 | + | 4.22417i | −0.263194 | + | 0.205629i | ||||
\(423\) | −0.403602 | + | 0.272233i | −0.0196238 | + | 0.0132364i | ||||
\(424\) | −7.64627 | − | 6.41599i | −0.371336 | − | 0.311588i | ||||
\(425\) | 25.6588 | − | 19.6438i | 1.24463 | − | 0.952867i | ||||
\(426\) | −1.63954 | − | 2.83977i | −0.0794362 | − | 0.137588i | ||||
\(427\) | −37.0818 | − | 38.3993i | −1.79451 | − | 1.85827i | ||||
\(428\) | −0.0842097 | − | 0.599183i | −0.00407043 | − | 0.0289626i | ||||
\(429\) | −21.7017 | + | 24.1021i | −1.04777 | + | 1.16366i | ||||
\(430\) | −6.50474 | − | 16.3304i | −0.313687 | − | 0.787521i | ||||
\(431\) | 9.72604 | − | 6.07750i | 0.468487 | − | 0.292743i | −0.275060 | − | 0.961427i | \(-0.588698\pi\) |
0.743547 | + | 0.668684i | \(0.233142\pi\) | |||||||
\(432\) | 1.82322 | − | 5.00926i | 0.0877197 | − | 0.241008i | ||||
\(433\) | 22.8064 | − | 0.796417i | 1.09601 | − | 0.0382733i | 0.518818 | − | 0.854885i | \(-0.326372\pi\) |
0.577187 | + | 0.816612i | \(0.304150\pi\) | |||||||
\(434\) | 0.762482 | − | 3.05815i | 0.0366003 | − | 0.146796i | ||||
\(435\) | −4.75934 | − | 4.97715i | −0.228193 | − | 0.238636i | ||||
\(436\) | −9.25232 | − | 6.72221i | −0.443106 | − | 0.321935i | ||||
\(437\) | 4.14817 | − | 0.958192i | 0.198434 | − | 0.0458365i | ||||
\(438\) | −1.96998 | − | 2.71144i | −0.0941291 | − | 0.129558i | ||||
\(439\) | 6.81924 | − | 13.9815i | 0.325464 | − | 0.667301i | −0.671838 | − | 0.740698i | \(-0.734495\pi\) |
0.997303 | + | 0.0733969i | \(0.0233840\pi\) | |||||||
\(440\) | −2.19039 | + | 7.49953i | −0.104423 | + | 0.357526i | ||||
\(441\) | −1.66958 | + | 2.47525i | −0.0795038 | + | 0.117869i | ||||
\(442\) | −28.0879 | − | 21.9447i | −1.33601 | − | 1.04380i | ||||
\(443\) | −7.59981 | + | 9.05710i | −0.361078 | + | 0.430316i | −0.915747 | − | 0.401755i | \(-0.868400\pi\) |
0.554669 | + | 0.832071i | \(0.312845\pi\) | |||||||
\(444\) | −3.79047 | − | 4.20974i | −0.179888 | − | 0.199785i | ||||
\(445\) | 5.06828 | + | 0.737713i | 0.240259 | + | 0.0349710i | ||||
\(446\) | 2.83827 | − | 0.398893i | 0.134396 | − | 0.0188881i | ||||
\(447\) | −1.78789 | − | 12.7215i | −0.0845641 | − | 0.601705i | ||||
\(448\) | 4.95768 | + | 0.521073i | 0.234228 | + | 0.0246184i | ||||
\(449\) | −4.74489 | + | 8.21839i | −0.223925 | + | 0.387850i | −0.955996 | − | 0.293378i | \(-0.905220\pi\) |
0.732071 | + | 0.681228i | \(0.238554\pi\) | |||||||
\(450\) | −0.586843 | + | 0.595862i | −0.0276640 | + | 0.0280892i | ||||
\(451\) | 26.6382 | + | 9.69550i | 1.25434 | + | 0.456543i | ||||
\(452\) | 4.37564 | − | 15.2597i | 0.205813 | − | 0.717755i | ||||
\(453\) | −2.33137 | + | 3.73097i | −0.109537 | + | 0.175296i | ||||
\(454\) | 16.0052 | − | 8.51011i | 0.751161 | − | 0.399399i | ||||
\(455\) | −34.1259 | − | 51.1340i | −1.59985 | − | 2.39720i | ||||
\(456\) | −1.14850 | − | 7.24589i | −0.0537836 | − | 0.339320i | ||||
\(457\) | 10.6596i | 0.498636i | 0.968422 | + | 0.249318i | \(0.0802065\pi\) | ||||
−0.968422 | + | 0.249318i | \(0.919794\pi\) | |||||||
\(458\) | −1.25464 | + | 8.92726i | −0.0586257 | + | 0.417143i | ||||
\(459\) | 8.33481 | − | 33.4291i | 0.389036 | − | 1.56034i | ||||
\(460\) | 0.0107313 | − | 2.18397i | 0.000500351 | − | 0.101828i | ||||
\(461\) | −21.7232 | − | 32.2059i | −1.01175 | − | 1.49998i | −0.859171 | − | 0.511689i | \(-0.829020\pi\) |
−0.152579 | − | 0.988291i | \(-0.548758\pi\) | |||||||
\(462\) | 2.04492 | − | 29.2438i | 0.0951384 | − | 1.36054i | ||||
\(463\) | 2.01706 | − | 0.212002i | 0.0937409 | − | 0.00985257i | −0.0575419 | − | 0.998343i | \(-0.518326\pi\) |
0.151283 | + | 0.988491i | \(0.451660\pi\) | |||||||
\(464\) | −0.191268 | + | 1.81980i | −0.00887940 | + | 0.0844819i | ||||
\(465\) | −0.506148 | + | 2.32500i | −0.0234720 | + | 0.107819i | ||||
\(466\) | −12.1351 | − | 24.8806i | −0.562147 | − | 1.15257i | ||||
\(467\) | −0.113603 | − | 0.534461i | −0.00525693 | − | 0.0247319i | 0.975441 | − | 0.220261i | \(-0.0706909\pi\) |
−0.980698 | + | 0.195529i | \(0.937358\pi\) | |||||||
\(468\) | 0.798893 | + | 0.461241i | 0.0369289 | + | 0.0213209i | ||||
\(469\) | 2.33621 | − | 1.45983i | 0.107876 | − | 0.0674086i | ||||
\(470\) | 4.96495 | + | 4.20783i | 0.229016 | + | 0.194093i | ||||
\(471\) | −13.6312 | − | 17.4472i | −0.628093 | − | 0.803922i | ||||
\(472\) | −0.771373 | + | 1.23445i | −0.0355053 | + | 0.0568204i | ||||
\(473\) | 24.6873 | + | 12.0408i | 1.13513 | + | 0.553638i | ||||
\(474\) | 20.2502 | 0.930124 | ||||||||
\(475\) | −5.84498 | + | 20.9961i | −0.268186 | + | 0.963367i | ||||
\(476\) | 32.2179 | 1.47671 | ||||||||
\(477\) | 1.50058 | + | 0.731883i | 0.0687070 | + | 0.0335106i | ||||
\(478\) | −13.9329 | + | 22.2974i | −0.637278 | + | 1.01986i | ||||
\(479\) | 22.9332 | + | 29.3532i | 1.04785 | + | 1.34118i | 0.937770 | + | 0.347258i | \(0.112887\pi\) |
0.110076 | + | 0.993923i | \(0.464891\pi\) | |||||||
\(480\) | −3.75296 | − | 0.280970i | −0.171299 | − | 0.0128245i | ||||
\(481\) | 15.7418 | − | 9.83655i | 0.717763 | − | 0.448508i | ||||
\(482\) | 3.38740 | + | 1.95572i | 0.154292 | + | 0.0890805i | ||||
\(483\) | 1.70378 | + | 8.01566i | 0.0775248 | + | 0.364725i | ||||
\(484\) | −0.529621 | − | 1.08588i | −0.0240737 | − | 0.0493584i | ||||
\(485\) | 8.17677 | − | 0.818812i | 0.371288 | − | 0.0371804i | ||||
\(486\) | −0.181482 | + | 1.72669i | −0.00823220 | + | 0.0783242i | ||||
\(487\) | 23.4837 | − | 2.46823i | 1.06415 | − | 0.111846i | 0.443762 | − | 0.896145i | \(-0.353643\pi\) |
0.620384 | + | 0.784298i | \(0.286977\pi\) | |||||||
\(488\) | 0.746982 | − | 10.6823i | 0.0338143 | − | 0.483567i | ||||
\(489\) | −10.2493 | − | 15.1952i | −0.463488 | − | 0.687149i | ||||
\(490\) | 37.8995 | + | 12.5205i | 1.71212 | + | 0.565619i | ||||
\(491\) | 1.95756 | − | 7.85135i | 0.0883436 | − | 0.354327i | −0.909813 | − | 0.415018i | \(-0.863775\pi\) |
0.998157 | + | 0.0606918i | \(0.0193307\pi\) | |||||||
\(492\) | −1.90043 | + | 13.5223i | −0.0856780 | + | 0.609631i | ||||
\(493\) | 11.8261i | 0.532620i | ||||||||
\(494\) | 24.0362 | + | 0.416744i | 1.08144 | + | 0.0187502i | ||||
\(495\) | 0.0520239 | − | 1.30578i | 0.00233830 | − | 0.0586904i | ||||
\(496\) | 0.558245 | − | 0.296824i | 0.0250660 | − | 0.0133278i | ||||
\(497\) | −5.14665 | + | 8.23635i | −0.230859 | + | 0.369451i | ||||
\(498\) | 2.49352 | − | 8.69593i | 0.111737 | − | 0.389674i | ||||
\(499\) | −23.7336 | − | 8.63831i | −1.06246 | − | 0.386704i | −0.249108 | − | 0.968476i | \(-0.580137\pi\) |
−0.813352 | + | 0.581772i | \(0.802360\pi\) | |||||||
\(500\) | 9.79321 | + | 5.39379i | 0.437966 | + | 0.241218i | ||||
\(501\) | 10.4851 | − | 18.1606i | 0.468437 | − | 0.811358i | ||||
\(502\) | −11.9468 | − | 1.25566i | −0.533213 | − | 0.0560430i | ||||
\(503\) | 3.05366 | + | 21.7279i | 0.136156 | + | 0.968799i | 0.931784 | + | 0.363014i | \(0.118252\pi\) |
−0.795628 | + | 0.605786i | \(0.792859\pi\) | |||||||
\(504\) | −0.825698 | + | 0.116044i | −0.0367795 | + | 0.00516902i | ||||
\(505\) | 16.0966 | − | 8.45752i | 0.716289 | − | 0.376355i | ||||
\(506\) | 2.28351 | + | 2.53610i | 0.101515 | + | 0.112743i | ||||
\(507\) | 18.8421 | − | 22.4552i | 0.836808 | − | 0.997269i | ||||
\(508\) | 16.3751 | + | 12.7936i | 0.726529 | + | 0.567626i | ||||
\(509\) | 13.7596 | − | 20.3995i | 0.609886 | − | 0.904193i | −0.389976 | − | 0.920825i | \(-0.627517\pi\) |
0.999862 | + | 0.0166323i | \(0.00529448\pi\) | |||||||
\(510\) | −24.3123 | + | 0.729416i | −1.07657 | + | 0.0322991i | ||||
\(511\) | −4.35157 | + | 8.92203i | −0.192502 | + | 0.394687i | ||||
\(512\) | 0.587785 | + | 0.809017i | 0.0259767 | + | 0.0357538i | ||||
\(513\) | 9.08159 | + | 21.3879i | 0.400962 | + | 0.944300i | ||||
\(514\) | −4.89767 | − | 3.55836i | −0.216027 | − | 0.156953i | ||||
\(515\) | 33.4895 | − | 16.1307i | 1.47572 | − | 0.710804i | ||||
\(516\) | −3.20087 | + | 12.8380i | −0.140910 | + | 0.565160i | ||||
\(517\) | −10.1633 | + | 0.354911i | −0.446982 | + | 0.0156090i | ||||
\(518\) | −5.73845 | + | 15.7663i | −0.252133 | + | 0.692730i | ||||
\(519\) | −25.4135 | + | 15.8801i | −1.11553 | + | 0.697060i | ||||
\(520\) | 3.04218 | − | 11.9510i | 0.133408 | − | 0.524088i | ||||
\(521\) | 20.6177 | − | 22.8983i | 0.903280 | − | 1.00319i | −0.0966890 | − | 0.995315i | \(-0.530825\pi\) |
0.999969 | − | 0.00787934i | \(-0.00250810\pi\) | |||||||
\(522\) | −0.0425959 | − | 0.303085i | −0.00186437 | − | 0.0132657i | ||||
\(523\) | 1.18081 | + | 1.22276i | 0.0516330 | + | 0.0534676i | 0.744659 | − | 0.667445i | \(-0.232612\pi\) |
−0.693026 | + | 0.720912i | \(0.743723\pi\) | |||||||
\(524\) | −9.50473 | − | 16.4627i | −0.415216 | − | 0.719176i | ||||
\(525\) | −40.2098 | − | 11.9589i | −1.75490 | − | 0.521927i | ||||
\(526\) | 7.99638 | + | 6.70976i | 0.348659 | + | 0.292559i | ||||
\(527\) | 3.38764 | − | 2.28499i | 0.147568 | − | 0.0995359i | ||||
\(528\) | 4.63404 | − | 3.62051i | 0.201671 | − | 0.157563i | ||||
\(529\) | 18.6961 | + | 11.6826i | 0.812874 | + | 0.507940i | ||||
\(530\) | 3.98366 | − | 21.9609i | 0.173039 | − | 0.953922i | ||||
\(531\) | 0.0752386 | − | 0.231561i | 0.00326508 | − | 0.0100489i | ||||
\(532\) | −17.3521 | + | 13.0789i | −0.752308 | + | 0.567043i | ||||
\(533\) | −42.5553 | − | 13.8271i | −1.84328 | − | 0.598917i | ||||
\(534\) | −2.77310 | − | 2.67795i | −0.120004 | − | 0.115886i | ||||
\(535\) | 1.07024 | − | 0.827730i | 0.0462707 | − | 0.0357859i | ||||
\(536\) | 0.531214 | + | 0.152323i | 0.0229449 | + | 0.00657935i | ||||
\(537\) | −11.5057 | − | 40.1252i | −0.496508 | − | 1.73153i | ||||
\(538\) | −0.539515 | + | 7.71542i | −0.0232601 | + | 0.332635i | ||||
\(539\) | −56.9766 | + | 25.3676i | −2.45416 | + | 1.09266i | ||||
\(540\) | 11.7488 | − | 2.01216i | 0.505589 | − | 0.0865897i | ||||
\(541\) | −4.04630 | − | 8.29614i | −0.173964 | − | 0.356679i | 0.793941 | − | 0.607994i | \(-0.208026\pi\) |
−0.967905 | + | 0.251316i | \(0.919137\pi\) | |||||||
\(542\) | −10.8057 | + | 20.3226i | −0.464145 | + | 0.872930i | ||||
\(543\) | −18.4466 | + | 10.6502i | −0.791620 | + | 0.457042i | ||||
\(544\) | 4.32458 | + | 4.80293i | 0.185415 | + | 0.205924i | ||||
\(545\) | 2.79802 | − | 25.4193i | 0.119854 | − | 1.08884i | ||||
\(546\) | −1.61488 | + | 46.2442i | −0.0691106 | + | 1.97907i | ||||
\(547\) | −6.18704 | + | 4.83385i | −0.264539 | + | 0.206680i | −0.739196 | − | 0.673490i | \(-0.764794\pi\) |
0.474657 | + | 0.880171i | \(0.342572\pi\) | |||||||
\(548\) | −1.21019 | − | 17.3065i | −0.0516966 | − | 0.739296i | ||||
\(549\) | 0.311028 | + | 1.76393i | 0.0132744 | + | 0.0752826i | ||||
\(550\) | −16.9919 | + | 4.05961i | −0.724536 | + | 0.173102i | ||||
\(551\) | −4.80082 | − | 6.36935i | −0.204522 | − | 0.271344i | ||||
\(552\) | −0.966250 | + | 1.32993i | −0.0411263 | + | 0.0566055i | ||||
\(553\) | −28.1579 | − | 52.9573i | −1.19740 | − | 2.25197i | ||||
\(554\) | 8.82025 | + | 5.51150i | 0.374737 | + | 0.234161i | ||||
\(555\) | 3.97340 | − | 12.0275i | 0.168662 | − | 0.510537i | ||||
\(556\) | 13.4738 | − | 17.2456i | 0.571415 | − | 0.731378i | ||||
\(557\) | 4.00822 | − | 4.77681i | 0.169834 | − | 0.202400i | −0.674414 | − | 0.738354i | \(-0.735604\pi\) |
0.844247 | + | 0.535954i | \(0.180048\pi\) | |||||||
\(558\) | −0.0785901 | + | 0.0707628i | −0.00332698 | + | 0.00299563i | ||||
\(559\) | −39.6071 | − | 17.6342i | −1.67520 | − | 0.745849i | ||||
\(560\) | 4.48371 | + | 10.2052i | 0.189471 | + | 0.431250i | ||||
\(561\) | 27.3398 | − | 26.4017i | 1.15429 | − | 1.11468i | ||||
\(562\) | −6.33784 | + | 14.2350i | −0.267346 | + | 0.600469i | ||||
\(563\) | −9.28272 | + | 0.975653i | −0.391220 | + | 0.0411189i | −0.298097 | − | 0.954536i | \(-0.596352\pi\) |
−0.0931234 | + | 0.995655i | \(0.529685\pi\) | |||||||
\(564\) | −1.18510 | − | 4.75316i | −0.0499015 | − | 0.200144i | ||||
\(565\) | 34.4842 | − | 8.41811i | 1.45076 | − | 0.354152i | ||||
\(566\) | −4.23366 | + | 6.27667i | −0.177954 | + | 0.263828i | ||||
\(567\) | −39.1494 | + | 15.8174i | −1.64412 | + | 0.664268i | ||||
\(568\) | −1.91868 | + | 0.338314i | −0.0805059 | + | 0.0141954i | ||||
\(569\) | 6.26257 | − | 19.2742i | 0.262541 | − | 0.808017i | −0.729709 | − | 0.683758i | \(-0.760345\pi\) |
0.992250 | − | 0.124259i | \(-0.0396554\pi\) | |||||||
\(570\) | 12.7981 | − | 10.2625i | 0.536054 | − | 0.429847i | ||||
\(571\) | −2.40697 | − | 7.40788i | −0.100728 | − | 0.310010i | 0.887976 | − | 0.459890i | \(-0.152111\pi\) |
−0.988704 | + | 0.149880i | \(0.952111\pi\) | |||||||
\(572\) | 9.04667 | + | 17.0143i | 0.378260 | + | 0.711404i | ||||
\(573\) | −0.599954 | − | 8.57974i | −0.0250634 | − | 0.358424i | ||||
\(574\) | 38.0053 | − | 13.8328i | 1.58631 | − | 0.577369i | ||||
\(575\) | 4.25309 | − | 2.40011i | 0.177366 | − | 0.100091i | ||||
\(576\) | −0.128132 | − | 0.107516i | −0.00533884 | − | 0.00447982i | ||||
\(577\) | −14.4112 | − | 32.3680i | −0.599944 | − | 1.34750i | −0.916923 | − | 0.399065i | \(-0.869335\pi\) |
0.316978 | − | 0.948433i | \(-0.397332\pi\) | |||||||
\(578\) | 18.4078 | + | 16.5745i | 0.765664 | + | 0.689407i | ||||
\(579\) | 17.9686 | − | 2.52532i | 0.746750 | − | 0.104949i | ||||
\(580\) | −3.74599 | + | 1.64582i | −0.155544 | + | 0.0683388i | ||||
\(581\) | −26.2084 | + | 5.57076i | −1.08731 | + | 0.231114i | ||||
\(582\) | −5.35670 | − | 3.09269i | −0.222042 | − | 0.128196i | ||||
\(583\) | 18.4812 | + | 29.5761i | 0.765414 | + | 1.22492i | ||||
\(584\) | −1.91417 | + | 0.548880i | −0.0792090 | + | 0.0227128i | ||||
\(585\) | −0.0101355 | + | 2.06271i | −0.000419050 | + | 0.0852825i | ||||
\(586\) | 5.21406 | − | 0.364603i | 0.215391 | − | 0.0150616i | ||||
\(587\) | 8.98483 | − | 9.30406i | 0.370843 | − | 0.384020i | −0.507818 | − | 0.861464i | \(-0.669548\pi\) |
0.878662 | + | 0.477444i | \(0.158437\pi\) | |||||||
\(588\) | −17.6589 | − | 24.3054i | −0.728240 | − | 1.00234i | ||||
\(589\) | −0.896936 | + | 2.60588i | −0.0369576 | + | 0.107373i | ||||
\(590\) | −3.25233 | − | 0.129577i | −0.133896 | − | 0.00533461i | ||||
\(591\) | −17.9036 | − | 17.2893i | −0.736455 | − | 0.711186i | ||||
\(592\) | −3.12065 | + | 1.26082i | −0.128258 | + | 0.0518195i | ||||
\(593\) | 15.1911 | + | 41.7372i | 0.623823 | + | 1.71394i | 0.697430 | + | 0.716653i | \(0.254327\pi\) |
−0.0736062 | + | 0.997287i | \(0.523451\pi\) | |||||||
\(594\) | −11.4671 | + | 14.6772i | −0.470502 | + | 0.602215i | ||||
\(595\) | 35.7137 | + | 62.5660i | 1.46412 | + | 2.56495i | ||||
\(596\) | −7.46596 | − | 1.58694i | −0.305818 | − | 0.0650036i | ||||
\(597\) | 31.1322 | + | 28.0316i | 1.27416 | + | 1.14726i | ||||
\(598\) | −3.74191 | − | 3.87486i | −0.153018 | − | 0.158455i | ||||
\(599\) | 4.91705 | − | 27.8860i | 0.200905 | − | 1.13939i | −0.702849 | − | 0.711339i | \(-0.748089\pi\) |
0.903754 | − | 0.428052i | \(-0.140800\pi\) | |||||||
\(600\) | −3.61455 | − | 7.59957i | −0.147563 | − | 0.310251i | ||||
\(601\) | −21.1739 | + | 36.6742i | −0.863700 | + | 1.49597i | 0.00463288 | + | 0.999989i | \(0.498525\pi\) |
−0.868333 | + | 0.495982i | \(0.834808\pi\) | |||||||
\(602\) | 38.0240 | − | 9.48044i | 1.54974 | − | 0.386394i | ||||
\(603\) | −0.0923776 | − | 0.00322590i | −0.00376191 | − | 0.000131369i | ||||
\(604\) | 1.60931 | + | 2.05983i | 0.0654820 | + | 0.0838131i | ||||
\(605\) | 1.52166 | − | 2.23221i | 0.0618642 | − | 0.0907523i | ||||
\(606\) | −13.5532 | − | 1.90478i | −0.550561 | − | 0.0773763i | ||||
\(607\) | 10.7336i | 0.435665i | 0.975986 | + | 0.217833i | \(0.0698987\pi\) | ||||
−0.975986 | + | 0.217833i | \(0.930101\pi\) | |||||||
\(608\) | −4.27891 | − | 0.831217i | −0.173533 | − | 0.0337103i | ||||
\(609\) | 12.4203 | − | 9.02390i | 0.503297 | − | 0.365667i | ||||
\(610\) | 21.5727 | − | 10.3908i | 0.873454 | − | 0.420712i | ||||
\(611\) | 16.0129 | − | 1.11973i | 0.647813 | − | 0.0452995i | ||||
\(612\) | −0.896213 | − | 0.604503i | −0.0362273 | − | 0.0244356i | ||||
\(613\) | −2.29152 | − | 7.99149i | −0.0925537 | − | 0.322773i | 0.901340 | − | 0.433111i | \(-0.142584\pi\) |
−0.993894 | + | 0.110338i | \(0.964807\pi\) | |||||||
\(614\) | 2.50573 | + | 10.0499i | 0.101123 | + | 0.405582i | ||||
\(615\) | −28.3664 | + | 11.2989i | −1.14384 | + | 0.455617i | ||||
\(616\) | −15.9118 | − | 7.08439i | −0.641105 | − | 0.285438i | ||||
\(617\) | −0.336248 | + | 0.632390i | −0.0135368 | + | 0.0254591i | −0.889624 | − | 0.456693i | \(-0.849034\pi\) |
0.876087 | + | 0.482152i | \(0.160145\pi\) | |||||||
\(618\) | −27.5539 | − | 4.85850i | −1.10838 | − | 0.195438i | ||||
\(619\) | −17.9917 | + | 3.82426i | −0.723148 | + | 0.153710i | −0.554759 | − | 0.832011i | \(-0.687190\pi\) |
−0.168389 | + | 0.985721i | \(0.553856\pi\) | |||||||
\(620\) | 1.19524 | + | 0.755060i | 0.0480020 | + | 0.0303239i | ||||
\(621\) | 1.95043 | − | 4.82749i | 0.0782681 | − | 0.193720i | ||||
\(622\) | −7.49703 | − | 0.261802i | −0.300603 | − | 0.0104973i | ||||
\(623\) | −3.14724 | + | 10.9757i | −0.126092 | + | 0.439734i | ||||
\(624\) | −7.11068 | + | 5.96657i | −0.284655 | + | 0.238854i | ||||
\(625\) | 0.381287 | + | 24.9971i | 0.0152515 | + | 0.999884i | ||||
\(626\) | −16.0198 | −0.640279 | ||||||||
\(627\) | −4.00698 | + | 25.3182i | −0.160023 | + | 1.01111i | ||||
\(628\) | −12.5111 | + | 4.06510i | −0.499247 | + | 0.162215i | ||||
\(629\) | −19.2064 | + | 10.2122i | −0.765811 | + | 0.407189i | ||||
\(630\) | −1.14064 | − | 1.47484i | −0.0454443 | − | 0.0587589i | ||||
\(631\) | −0.824243 | − | 23.6032i | −0.0328126 | − | 0.939629i | −0.898481 | − | 0.439012i | \(-0.855329\pi\) |
0.865669 | − | 0.500617i | \(-0.166894\pi\) | |||||||
\(632\) | 4.11508 | − | 11.3061i | 0.163689 | − | 0.449732i | ||||
\(633\) | 6.11945 | + | 9.79316i | 0.243226 | + | 0.389243i | ||||
\(634\) | 0.882283 | + | 8.39436i | 0.0350399 | + | 0.333383i | ||||
\(635\) | −6.69287 | + | 45.9817i | −0.265598 | + | 1.82473i | ||||
\(636\) | −12.0846 | + | 11.6700i | −0.479186 | + | 0.462745i | ||||
\(637\) | 88.4822 | − | 43.1556i | 3.50579 | − | 1.70989i | ||||
\(638\) | 2.60044 | − | 5.84068i | 0.102952 | − | 0.231235i | ||||
\(639\) | 0.297704 | − | 0.132546i | 0.0117770 | − | 0.00524345i | ||||
\(640\) | −0.919517 | + | 2.03826i | −0.0363471 | + | 0.0805692i | ||||
\(641\) | 18.3285 | − | 5.25563i | 0.723934 | − | 0.207585i | 0.106618 | − | 0.994300i | \(-0.465998\pi\) |
0.617316 | + | 0.786715i | \(0.288220\pi\) | |||||||
\(642\) | −1.01776 | + | 0.0355410i | −0.0401678 | + | 0.00140269i | ||||
\(643\) | 26.0706 | + | 31.0697i | 1.02812 | + | 1.22527i | 0.973956 | + | 0.226738i | \(0.0728060\pi\) |
0.0541674 | + | 0.998532i | \(0.482750\pi\) | |||||||
\(644\) | 4.82153 | + | 0.677622i | 0.189995 | + | 0.0267020i | ||||
\(645\) | −28.4790 | + | 8.01500i | −1.12136 | + | 0.315590i | ||||
\(646\) | −28.0646 | − | 2.45203i | −1.10419 | − | 0.0964738i | ||||
\(647\) | 23.9772 | − | 7.79065i | 0.942639 | − | 0.306282i | 0.202918 | − | 0.979196i | \(-0.434957\pi\) |
0.739721 | + | 0.672914i | \(0.234957\pi\) | |||||||
\(648\) | −7.61299 | − | 3.71310i | −0.299067 | − | 0.145864i | ||||
\(649\) | 3.89613 | − | 3.26924i | 0.152937 | − | 0.128329i | ||||
\(650\) | 26.5807 | − | 7.34000i | 1.04258 | − | 0.287898i | ||||
\(651\) | −4.98475 | − | 1.81430i | −0.195368 | − | 0.0711080i | ||||
\(652\) | −10.5665 | + | 2.63453i | −0.413817 | + | 0.103176i | ||||
\(653\) | −4.31185 | + | 20.2856i | −0.168736 | + | 0.793839i | 0.809628 | + | 0.586944i | \(0.199669\pi\) |
−0.978363 | + | 0.206895i | \(0.933664\pi\) | |||||||
\(654\) | −12.8797 | + | 14.3044i | −0.503638 | + | 0.559346i | ||||
\(655\) | 21.4339 | − | 36.7068i | 0.837490 | − | 1.43425i | ||||
\(656\) | 7.16355 | + | 3.80893i | 0.279690 | + | 0.148714i | ||||
\(657\) | 0.288452 | − | 0.166538i | 0.0112536 | − | 0.00649727i | ||||
\(658\) | −10.7823 | + | 9.70846i | −0.420339 | + | 0.378475i | ||||
\(659\) | 28.8434 | + | 2.01693i | 1.12358 | + | 0.0785684i | 0.619433 | − | 0.785049i | \(-0.287362\pi\) |
0.504147 | + | 0.863618i | \(0.331807\pi\) | |||||||
\(660\) | 12.1678 | + | 4.98578i | 0.473629 | + | 0.194071i | ||||
\(661\) | 17.3125 | + | 4.96427i | 0.673377 | + | 0.193088i | 0.594865 | − | 0.803825i | \(-0.297205\pi\) |
0.0785117 | + | 0.996913i | \(0.474983\pi\) | |||||||
\(662\) | 11.8859 | + | 2.96348i | 0.461957 | + | 0.115179i | ||||
\(663\) | −41.6737 | + | 43.1543i | −1.61847 | + | 1.67598i | ||||
\(664\) | −4.34839 | − | 3.15929i | −0.168750 | − | 0.122604i | ||||
\(665\) | −44.6336 | − | 19.1990i | −1.73082 | − | 0.744507i | ||||
\(666\) | 0.455450 | − | 0.330904i | 0.0176483 | − | 0.0128223i | ||||
\(667\) | −0.248732 | + | 1.76982i | −0.00963093 | + | 0.0685277i | ||||
\(668\) | −8.00875 | − | 9.54446i | −0.309868 | − | 0.369286i | ||||
\(669\) | −0.168354 | − | 4.82103i | −0.00650894 | − | 0.186392i | ||||
\(670\) | 0.293048 | + | 1.20045i | 0.0113214 | + | 0.0463773i | ||||
\(671\) | −14.0161 | + | 34.6910i | −0.541084 | + | 1.33923i | ||||
\(672\) | 1.74440 | − | 8.20676i | 0.0672917 | − | 0.316583i | ||||
\(673\) | −1.13108 | − | 0.118881i | −0.0436000 | − | 0.00458254i | 0.0827034 | − | 0.996574i | \(-0.473645\pi\) |
−0.126303 | + | 0.991992i | \(0.540311\pi\) | |||||||
\(674\) | −2.91153 | + | 16.5121i | −0.112148 | + | 0.636023i | ||||
\(675\) | 16.9312 | + | 20.5853i | 0.651682 | + | 0.792328i | ||||
\(676\) | −8.70822 | − | 15.0831i | −0.334932 | − | 0.580119i | ||||
\(677\) | −12.7819 | − | 28.7085i | −0.491247 | − | 1.10336i | −0.973782 | − | 0.227482i | \(-0.926951\pi\) |
0.482536 | − | 0.875876i | \(-0.339716\pi\) | |||||||
\(678\) | −24.7727 | − | 10.0088i | −0.951389 | − | 0.384386i | ||||
\(679\) | −0.639362 | + | 18.3089i | −0.0245365 | + | 0.702633i | ||||
\(680\) | −4.53329 | + | 13.7222i | −0.173844 | + | 0.526224i | ||||
\(681\) | −11.4289 | − | 28.2875i | −0.437956 | − | 1.08398i | ||||
\(682\) | −2.17554 | + | 0.383606i | −0.0833057 | + | 0.0146890i | ||||
\(683\) | −4.68370 | − | 1.52183i | −0.179217 | − | 0.0582310i | 0.218034 | − | 0.975941i | \(-0.430036\pi\) |
−0.397251 | + | 0.917710i | \(0.630036\pi\) | |||||||
\(684\) | 0.728086 | − | 0.0382427i | 0.0278391 | − | 0.00146224i | ||||
\(685\) | 32.2670 | − | 21.5345i | 1.23286 | − | 0.822790i | ||||
\(686\) | −23.7105 | + | 48.6138i | −0.905272 | + | 1.85608i | ||||
\(687\) | 14.7222 | + | 3.67065i | 0.561686 | + | 0.140044i | ||||
\(688\) | 6.51724 | + | 4.39593i | 0.248467 | + | 0.167593i | ||||
\(689\) | −30.7831 | − | 45.6378i | −1.17274 | − | 1.73866i | ||||
\(690\) | −3.65376 | − | 0.402187i | −0.139096 | − | 0.0153110i | ||||
\(691\) | −4.26484 | − | 40.5772i | −0.162242 | − | 1.54363i | −0.708317 | − | 0.705894i | \(-0.750545\pi\) |
0.546075 | − | 0.837736i | \(-0.316121\pi\) | |||||||
\(692\) | 3.70186 | + | 17.4159i | 0.140724 | + | 0.662053i | ||||
\(693\) | 2.86909 | + | 0.505899i | 0.108988 | + | 0.0192175i | ||||
\(694\) | 11.8941 | + | 6.32420i | 0.451493 | + | 0.240063i | ||||
\(695\) | 48.4261 | + | 7.04867i | 1.83691 | + | 0.267371i | ||||
\(696\) | 3.01242 | + | 0.640310i | 0.114186 | + | 0.0242709i | ||||
\(697\) | 48.6175 | + | 19.6427i | 1.84152 | + | 0.744022i | ||||
\(698\) | 0.318463 | − | 0.214806i | 0.0120540 | − | 0.00813053i | ||||
\(699\) | −43.7814 | + | 15.9351i | −1.65596 | + | 0.602722i | ||||
\(700\) | −14.8480 | + | 20.0198i | −0.561201 | + | 0.756676i | ||||
\(701\) | −1.63876 | − | 9.29390i | −0.0618953 | − | 0.351026i | −0.999989 | − | 0.00464466i | \(-0.998522\pi\) |
0.938094 | − | 0.346381i | \(-0.112590\pi\) | |||||||
\(702\) | 17.2807 | − | 23.7848i | 0.652216 | − | 0.897699i | ||||
\(703\) | 6.19862 | − | 13.2970i | 0.233785 | − | 0.501508i | ||||
\(704\) | −1.07971 | − | 3.32301i | −0.0406931 | − | 0.125241i | ||||
\(705\) | 7.91677 | − | 7.57031i | 0.298163 | − | 0.285114i | ||||
\(706\) | 0.430226 | + | 1.06485i | 0.0161918 | + | 0.0400760i | ||||
\(707\) | 13.8644 | + | 38.0922i | 0.521426 | + | 1.43261i | ||||
\(708\) | 1.93059 | + | 1.50834i | 0.0725559 | + | 0.0566869i | ||||
\(709\) | 11.4097 | + | 0.797841i | 0.428499 | + | 0.0299636i | 0.282378 | − | 0.959303i | \(-0.408877\pi\) |
0.146121 | + | 0.989267i | \(0.453321\pi\) | |||||||
\(710\) | −2.78386 | − | 3.35097i | −0.104476 | − | 0.125760i | ||||
\(711\) | −0.210361 | + | 2.00145i | −0.00788916 | + | 0.0750603i | ||||
\(712\) | −2.05868 | + | 1.00408i | −0.0771521 | + | 0.0376296i | ||||
\(713\) | 0.555032 | − | 0.270707i | 0.0207861 | − | 0.0101381i | ||||
\(714\) | 5.66807 | − | 53.9281i | 0.212122 | − | 2.01821i | ||||
\(715\) | −23.0129 | + | 36.4287i | −0.860632 | + | 1.36236i | ||||
\(716\) | −24.7408 | − | 1.73004i | −0.924606 | − | 0.0646548i | ||||
\(717\) | 34.8713 | + | 27.2445i | 1.30229 | + | 1.01746i | ||||
\(718\) | 2.62940 | + | 7.22421i | 0.0981282 | + | 0.269605i | ||||
\(719\) | −0.361462 | − | 0.894650i | −0.0134803 | − | 0.0333648i | 0.920294 | − | 0.391228i | \(-0.127950\pi\) |
−0.933774 | + | 0.357864i | \(0.883505\pi\) | |||||||
\(720\) | 0.0667561 | − | 0.368009i | 0.00248785 | − | 0.0137149i | ||||
\(721\) | 25.6080 | + | 78.8133i | 0.953692 | + | 2.93516i | ||||
\(722\) | 16.1106 | − | 10.0722i | 0.599573 | − | 0.374850i | ||||
\(723\) | 3.86953 | − | 5.32595i | 0.143909 | − | 0.198074i | ||||
\(724\) | 2.19762 | + | 12.4633i | 0.0816741 | + | 0.463197i | ||||
\(725\) | −7.34857 | − | 5.45018i | −0.272919 | − | 0.202415i | ||||
\(726\) | −1.91079 | + | 0.695469i | −0.0709159 | + | 0.0258113i | ||||
\(727\) | −20.1596 | + | 13.5978i | −0.747679 | + | 0.504316i | −0.872952 | − | 0.487807i | \(-0.837797\pi\) |
0.125273 | + | 0.992122i | \(0.460019\pi\) | |||||||
\(728\) | 25.4909 | + | 10.2990i | 0.944754 | + | 0.381705i | ||||
\(729\) | 27.7137 | + | 5.89073i | 1.02643 | + | 0.218175i | ||||
\(730\) | −3.18777 | − | 3.10881i | −0.117985 | − | 0.115062i | ||||
\(731\) | 44.8598 | + | 23.8524i | 1.65920 | + | 0.882212i | ||||
\(732\) | −17.7492 | − | 3.12967i | −0.656031 | − | 0.115676i | ||||
\(733\) | −1.22620 | − | 5.76882i | −0.0452908 | − | 0.213076i | 0.949683 | − | 0.313213i | \(-0.101405\pi\) |
−0.994974 | + | 0.100137i | \(0.968072\pi\) | |||||||
\(734\) | −2.15739 | − | 20.5262i | −0.0796306 | − | 0.757634i | ||||
\(735\) | 27.6251 | − | 61.2355i | 1.01897 | − | 2.25870i | ||||
\(736\) | 0.546172 | + | 0.809733i | 0.0201322 | + | 0.0298472i | ||||
\(737\) | −1.60076 | − | 1.07973i | −0.0589648 | − | 0.0397723i | ||||
\(738\) | −1.31674 | − | 0.328301i | −0.0484701 | − | 0.0120849i | ||||
\(739\) | −23.0055 | + | 47.1683i | −0.846272 | + | 1.73511i | −0.188243 | + | 0.982123i | \(0.560279\pi\) |
−0.658029 | + | 0.752992i | \(0.728610\pi\) | |||||||
\(740\) | −5.90773 | − | 4.66255i | −0.217172 | − | 0.171399i | ||||
\(741\) | 4.92623 | − | 40.1597i | 0.180970 | − | 1.47531i | ||||
\(742\) | 47.3224 | + | 15.3760i | 1.73726 | + | 0.564470i | ||||
\(743\) | 20.0369 | − | 3.53305i | 0.735083 | − | 0.129615i | 0.206440 | − | 0.978459i | \(-0.433812\pi\) |
0.528643 | + | 0.848844i | \(0.322701\pi\) | |||||||
\(744\) | −0.398629 | − | 0.986641i | −0.0146144 | − | 0.0361720i | ||||
\(745\) | −5.19428 | − | 16.2577i | −0.190304 | − | 0.595638i | ||||
\(746\) | 0.493777 | − | 14.1399i | 0.0180785 | − | 0.517700i | ||||
\(747\) | 0.833568 | + | 0.336783i | 0.0304987 | + | 0.0123223i | ||||
\(748\) | −9.18484 | − | 20.6295i | −0.335831 | − | 0.754289i | ||||
\(749\) | 1.50814 | + | 2.61217i | 0.0551062 | + | 0.0954467i | ||||
\(750\) | 10.7513 | − | 15.4435i | 0.392583 | − | 0.563916i | ||||
\(751\) | −0.532299 | + | 3.01882i | −0.0194239 | + | 0.110158i | −0.992978 | − | 0.118297i | \(-0.962256\pi\) |
0.973554 | + | 0.228455i | \(0.0733675\pi\) | |||||||
\(752\) | −2.89461 | − | 0.304235i | −0.105555 | − | 0.0110943i | ||||
\(753\) | −4.20359 | + | 19.7763i | −0.153187 | + | 0.720690i | ||||
\(754\) | −3.78040 | + | 9.35682i | −0.137674 | + | 0.340755i | ||||
\(755\) | −2.21617 | + | 5.40855i | −0.0806548 | + | 0.196837i | ||||
\(756\) | 0.927408 | + | 26.5575i | 0.0337295 | + | 0.965887i | ||||
\(757\) | 12.7067 | + | 15.1433i | 0.461834 | + | 0.550392i | 0.945823 | − | 0.324682i | \(-0.105257\pi\) |
−0.483990 | + | 0.875074i | \(0.660813\pi\) | |||||||
\(758\) | 2.91122 | − | 20.7144i | 0.105740 | − | 0.752382i | ||||
\(759\) | 4.64680 | − | 3.37609i | 0.168668 | − | 0.122544i | ||||
\(760\) | −3.12900 | − | 9.23089i | −0.113501 | − | 0.334840i | ||||
\(761\) | −4.96989 | − | 3.61084i | −0.180159 | − | 0.130893i | 0.494051 | − | 0.869433i | \(-0.335516\pi\) |
−0.674210 | + | 0.738540i | \(0.735516\pi\) | |||||||
\(762\) | 24.2956 | − | 25.1588i | 0.880135 | − | 0.911406i | ||||
\(763\) | 55.3174 | + | 13.7922i | 2.00262 | + | 0.499310i | ||||
\(764\) | −4.91215 | − | 1.40854i | −0.177715 | − | 0.0509591i | ||||
\(765\) | 0.180465 | − | 2.41051i | 0.00652474 | − | 0.0871521i | ||||
\(766\) | −1.30158 | − | 0.0910151i | −0.0470278 | − | 0.00328851i | ||||
\(767\) | −5.96598 | + | 5.37180i | −0.215419 | + | 0.193964i | ||||
\(768\) | 1.45758 | − | 0.841537i | 0.0525960 | − | 0.0303663i | ||||
\(769\) | −17.0660 | − | 9.07414i | −0.615414 | − | 0.327222i | 0.132333 | − | 0.991205i | \(-0.457753\pi\) |
−0.747747 | + | 0.663984i | \(0.768864\pi\) | |||||||
\(770\) | −3.88070 | − | 38.7532i | −0.139851 | − | 1.39657i | ||||
\(771\) | −6.81782 | + | 7.57195i | −0.245538 | + | 0.272697i | ||||
\(772\) | 2.24149 | − | 10.5454i | 0.0806731 | − | 0.379537i | ||||
\(773\) | −1.33542 | + | 0.332957i | −0.0480317 | + | 0.0119756i | −0.265864 | − | 0.964011i | \(-0.585657\pi\) |
0.217832 | + | 0.975986i | \(0.430102\pi\) | |||||||
\(774\) | −1.23560 | − | 0.449723i | −0.0444128 | − | 0.0161650i | ||||
\(775\) | −0.141368 | + | 3.15810i | −0.00507809 | + | 0.113442i | ||||
\(776\) | −2.81525 | + | 2.36228i | −0.101062 | + | 0.0848008i | ||||
\(777\) | 25.3809 | + | 12.3791i | 0.910534 | + | 0.444097i | ||||
\(778\) | 0.0818333 | − | 0.0265892i | 0.00293387 | − | 0.000953271i | ||||
\(779\) | −34.1586 | + | 9.15706i | −1.22386 | + | 0.328086i | ||||
\(780\) | −19.4691 | − | 7.19470i | −0.697105 | − | 0.257611i | ||||
\(781\) | 6.74106 | + | 0.947394i | 0.241214 | + | 0.0339004i | ||||
\(782\) | 4.05759 | + | 4.83565i | 0.145099 | + | 0.172923i | ||||
\(783\) | −9.74834 | + | 0.340420i | −0.348377 | + | 0.0121656i | ||||
\(784\) | −17.1586 | + | 4.92016i | −0.612809 | + | 0.175720i | ||||
\(785\) | −21.7629 | − | 19.7899i | −0.776751 | − | 0.706332i | ||||
\(786\) | −29.2283 | + | 13.0133i | −1.04254 | + | 0.464168i | ||||
\(787\) | 16.8963 | − | 37.9497i | 0.602287 | − | 1.35276i | −0.312921 | − | 0.949779i | \(-0.601308\pi\) |
0.915209 | − | 0.402980i | \(-0.132026\pi\) | |||||||
\(788\) | −13.2912 | + | 6.48253i | −0.473478 | + | 0.230931i | ||||
\(789\) | 12.6379 | − | 12.2043i | 0.449923 | − | 0.434485i | ||||
\(790\) | 26.5176 | − | 4.54153i | 0.943454 | − | 0.161581i | ||||
\(791\) | 8.27185 | + | 78.7014i | 0.294113 | + | 2.79830i | ||||
\(792\) | 0.309698 | + | 0.495621i | 0.0110046 | + | 0.0176111i | ||||
\(793\) | 20.1991 | − | 55.4965i | 0.717290 | − | 1.97074i | ||||
\(794\) | 0.729552 | + | 20.8916i | 0.0258908 | + | 0.741416i | ||||
\(795\) | −36.0585 | − | 10.5316i | −1.27886 | − | 0.373519i | ||||
\(796\) | 21.9770 | − | 11.6854i | 0.778954 | − | 0.414177i | ||||
\(797\) | −44.8510 | + | 14.5730i | −1.58870 | + | 0.516201i | −0.964280 | − | 0.264884i | \(-0.914666\pi\) |
−0.624424 | + | 0.781086i | \(0.714666\pi\) | |||||||
\(798\) | 18.8394 | + | 31.3458i | 0.666909 | + | 1.10963i | ||||
\(799\) | −18.8108 | −0.665480 | ||||||||
\(800\) | −4.97751 | + | 0.473751i | −0.175981 | + | 0.0167496i | ||||
\(801\) | 0.293485 | − | 0.246263i | 0.0103698 | − | 0.00870128i | ||||
\(802\) | −2.50723 | + | 8.74374i | −0.0885333 | + | 0.308752i | ||||
\(803\) | 6.95344 | + | 0.242819i | 0.245382 | + | 0.00856891i | ||||
\(804\) | 0.348422 | − | 0.862375i | 0.0122879 | − | 0.0304136i | ||||
\(805\) | 4.02878 | + | 10.1144i | 0.141996 | + | 0.356485i | ||||
\(806\) | 3.41074 | − | 0.724975i | 0.120138 | − | 0.0255362i | ||||
\(807\) | 12.8196 | + | 2.26044i | 0.451270 | + | 0.0795711i | ||||
\(808\) | −3.81764 | + | 7.17994i | −0.134304 | + | 0.252590i | ||||
\(809\) | 45.7307 | + | 20.3606i | 1.60781 | + | 0.715841i | 0.997106 | − | 0.0760205i | \(-0.0242215\pi\) |
0.610700 | + | 0.791862i | \(0.290888\pi\) | |||||||
\(810\) | −1.22834 | − | 18.9001i | −0.0431593 | − | 0.664083i | ||||
\(811\) | −0.273418 | − | 1.09662i | −0.00960099 | − | 0.0385075i | 0.965304 | − | 0.261128i | \(-0.0840945\pi\) |
−0.974905 | + | 0.222621i | \(0.928539\pi\) | |||||||
\(812\) | −2.51426 | − | 8.76827i | −0.0882333 | − | 0.307706i | ||||
\(813\) | 32.1160 | + | 21.6625i | 1.12636 | + | 0.759738i | ||||
\(814\) | 11.7313 | − | 0.820330i | 0.411181 | − | 0.0287525i | ||||
\(815\) | −16.8292 | − | 17.5994i | −0.589502 | − | 0.616480i | ||||
\(816\) | 8.80022 | − | 6.39374i | 0.308069 | − | 0.223826i | ||||
\(817\) | −33.8437 | + | 5.36437i | −1.18404 | + | 0.187676i | ||||
\(818\) | 26.0714i | 0.911565i | ||||||||
\(819\) | −4.55381 | − | 0.639997i | −0.159123 | − | 0.0223633i | ||||
\(820\) | 0.544042 | + | 18.1336i | 0.0189988 | + | 0.633252i | ||||
\(821\) | −13.2857 | − | 17.0049i | −0.463675 | − | 0.593477i | 0.498168 | − | 0.867081i | \(-0.334006\pi\) |
−0.961842 | + | 0.273604i | \(0.911784\pi\) | |||||||
\(822\) | −29.1814 | − | 1.01904i | −1.01782 | − | 0.0355430i | ||||
\(823\) | −41.0798 | + | 10.2423i | −1.43195 | + | 0.357026i | −0.879253 | − | 0.476355i | \(-0.841958\pi\) |
−0.552699 | + | 0.833381i | \(0.686402\pi\) | |||||||
\(824\) | −8.31188 | + | 14.3966i | −0.289558 | + | 0.501529i | ||||
\(825\) | 3.80583 | + | 29.1561i | 0.132502 | + | 1.01508i | ||||
\(826\) | 1.26005 | − | 7.14612i | 0.0438429 | − | 0.248645i | ||||
\(827\) | −8.65849 | − | 8.96613i | −0.301085 | − | 0.311783i | 0.551702 | − | 0.834041i | \(-0.313979\pi\) |
−0.852787 | + | 0.522258i | \(0.825090\pi\) | |||||||
\(828\) | −0.121407 | − | 0.109316i | −0.00421920 | − | 0.00379898i | ||||
\(829\) | −6.20665 | − | 1.31926i | −0.215566 | − | 0.0458200i | 0.0988626 | − | 0.995101i | \(-0.468480\pi\) |
−0.314429 | + | 0.949281i | \(0.601813\pi\) | |||||||
\(830\) | 1.31501 | − | 11.9465i | 0.0456446 | − | 0.414669i | ||||
\(831\) | 10.7772 | − | 13.7942i | 0.373856 | − | 0.478514i | ||||
\(832\) | 1.88628 | + | 5.18251i | 0.0653950 | + | 0.179671i | ||||
\(833\) | −106.965 | + | 43.2165i | −3.70611 | + | 1.49736i | ||||
\(834\) | −26.4963 | − | 25.5871i | −0.917490 | − | 0.886010i | ||||
\(835\) | 9.65723 | − | 26.1328i | 0.334202 | − | 0.904362i | ||||
\(836\) | 13.3214 | + | 7.38213i | 0.460730 | + | 0.255316i | ||||
\(837\) | 1.98105 | + | 2.72669i | 0.0684752 | + | 0.0942481i | ||||
\(838\) | 11.4915 | − | 11.8998i | 0.396968 | − | 0.411072i | ||||
\(839\) | 16.2488 | − | 1.13623i | 0.560971 | − | 0.0392269i | 0.213543 | − | 0.976934i | \(-0.431500\pi\) |
0.347428 | + | 0.937707i | \(0.387055\pi\) | |||||||
\(840\) | 17.8709 | − | 5.70968i | 0.616604 | − | 0.197003i | ||||
\(841\) | −24.6581 | + | 7.07058i | −0.850278 | + | 0.243813i | ||||
\(842\) | 4.39713 | + | 7.03688i | 0.151535 | + | 0.242507i | ||||
\(843\) | 22.7123 | + | 13.1130i | 0.782255 | + | 0.451635i | ||||
\(844\) | 6.71125 | − | 1.42652i | 0.231011 | − | 0.0491029i | ||||
\(845\) | 19.6377 | − | 33.6307i | 0.675556 | − | 1.15693i | ||||
\(846\) | 0.482094 | − | 0.0677539i | 0.0165747 | − | 0.00232943i | ||||
\(847\) | 4.47570 | + | 4.02994i | 0.153787 | + | 0.138470i | ||||
\(848\) | 4.05984 | + | 9.11855i | 0.139416 | + | 0.313132i | ||||
\(849\) | 9.76139 | + | 8.19078i | 0.335010 | + | 0.281107i | ||||
\(850\) | −31.6733 | + | 6.40770i | −1.08638 | + | 0.219782i | ||||
\(851\) | −3.08910 | + | 1.12434i | −0.105893 | + | 0.0385420i | ||||
\(852\) | 0.228738 | + | 3.27110i | 0.00783642 | + | 0.112066i | ||||
\(853\) | −5.62214 | − | 10.5737i | −0.192498 | − | 0.362037i | 0.767943 | − | 0.640518i | \(-0.221280\pi\) |
−0.960442 | + | 0.278481i | \(0.910169\pi\) | |||||||
\(854\) | 16.4957 | + | 50.7687i | 0.564473 | + | 1.73727i | ||||
\(855\) | 0.881353 | + | 1.37152i | 0.0301416 | + | 0.0469051i | ||||
\(856\) | −0.186978 | + | 0.575458i | −0.00639076 | + | 0.0196687i | ||||
\(857\) | −26.4172 | + | 4.65806i | −0.902393 | + | 0.159116i | −0.605547 | − | 0.795809i | \(-0.707046\pi\) |
−0.296846 | + | 0.954925i | \(0.595935\pi\) | |||||||
\(858\) | 30.0710 | − | 12.1495i | 1.02661 | − | 0.414776i | ||||
\(859\) | −10.3332 | + | 15.3196i | −0.352564 | + | 0.522697i | −0.963048 | − | 0.269332i | \(-0.913197\pi\) |
0.610484 | + | 0.792029i | \(0.290975\pi\) | |||||||
\(860\) | −1.31234 | + | 17.5291i | −0.0447504 | + | 0.597739i | ||||
\(861\) | −16.4678 | − | 66.0488i | −0.561222 | − | 2.25094i | ||||
\(862\) | −11.4059 | + | 1.19881i | −0.388487 | + | 0.0408316i | ||||
\(863\) | 5.28670 | − | 11.8741i | 0.179962 | − | 0.404200i | −0.800929 | − | 0.598759i | \(-0.795661\pi\) |
0.980891 | + | 0.194559i | \(0.0623275\pi\) | |||||||
\(864\) | −3.83461 | + | 3.70304i | −0.130456 | + | 0.125980i | ||||
\(865\) | −29.7174 | + | 26.4945i | −1.01042 | + | 0.900839i | ||||
\(866\) | −20.8474 | − | 9.28185i | −0.708423 | − | 0.315410i | ||||
\(867\) | 30.9817 | − | 27.8961i | 1.05219 | − | 0.947400i | ||||
\(868\) | −2.02592 | + | 2.41440i | −0.0687642 | + | 0.0819499i | ||||
\(869\) | −25.8818 | + | 33.1271i | −0.877979 | + | 1.12376i | ||||
\(870\) | 2.09583 | + | 6.55979i | 0.0710552 | + | 0.222398i | ||||
\(871\) | 2.58465 | + | 1.61507i | 0.0875776 | + | 0.0547246i | ||||
\(872\) | 5.36911 | + | 10.0978i | 0.181821 | + | 0.341956i | ||||
\(873\) | 0.361315 | − | 0.497308i | 0.0122287 | − | 0.0168313i | ||||
\(874\) | −4.14840 | − | 0.957222i | −0.140322 | − | 0.0323785i | ||||
\(875\) | −55.3367 | − | 6.64218i | −1.87072 | − | 0.224547i | ||||
\(876\) | 0.581986 | + | 3.30061i | 0.0196635 | + | 0.111517i | ||||
\(877\) | 2.54751 | + | 36.4311i | 0.0860234 | + | 1.23019i | 0.828372 | + | 0.560178i | \(0.189267\pi\) |
−0.742349 | + | 0.670013i | \(0.766288\pi\) | |||||||
\(878\) | −12.2582 | + | 9.57714i | −0.413693 | + | 0.323213i | ||||
\(879\) | 0.307013 | − | 8.79171i | 0.0103553 | − | 0.296537i | ||||
\(880\) | 5.25629 | − | 5.78033i | 0.177189 | − | 0.194855i | ||||
\(881\) | −27.6060 | − | 30.6595i | −0.930068 | − | 1.03295i | −0.999375 | − | 0.0353501i | \(-0.988745\pi\) |
0.0693067 | − | 0.997595i | \(-0.477921\pi\) | |||||||
\(882\) | 2.58569 | − | 1.49285i | 0.0870646 | − | 0.0502668i | ||||
\(883\) | 5.92950 | − | 11.1518i | 0.199544 | − | 0.375287i | −0.763007 | − | 0.646391i | \(-0.776278\pi\) |
0.962550 | + | 0.271104i | \(0.0873887\pi\) | |||||||
\(884\) | 15.6253 | + | 32.0367i | 0.525537 | + | 1.07751i | ||||
\(885\) | −0.789073 | + | 5.42113i | −0.0265244 | + | 0.182229i | ||||
\(886\) | 10.8010 | − | 4.80893i | 0.362868 | − | 0.161559i | ||||
\(887\) | 0.0778490 | − | 1.11329i | 0.00261391 | − | 0.0373807i | −0.996082 | − | 0.0884346i | \(-0.971814\pi\) |
0.998696 | + | 0.0510539i | \(0.0162580\pi\) | |||||||
\(888\) | 1.56142 | + | 5.44532i | 0.0523979 | + | 0.182733i | ||||
\(889\) | −99.5769 | − | 28.5532i | −3.33970 | − | 0.957644i | ||||
\(890\) | −4.23194 | − | 2.88484i | −0.141855 | − | 0.0967000i | ||||
\(891\) | 21.2890 | + | 20.5585i | 0.713207 | + | 0.688736i | ||||
\(892\) | −2.72589 | − | 0.885694i | −0.0912694 | − | 0.0296552i | ||||
\(893\) | 10.1312 | − | 7.63629i | 0.339029 | − | 0.255539i | ||||
\(894\) | −3.96978 | + | 12.2177i | −0.132769 | + | 0.408622i | ||||
\(895\) | −24.0656 | − | 49.9634i | −0.804425 | − | 1.67009i | ||||
\(896\) | −4.22751 | − | 2.64164i | −0.141231 | − | 0.0882511i | ||||
\(897\) | −7.14426 | + | 5.58171i | −0.238540 | + | 0.186368i | ||||
\(898\) | 7.86738 | − | 5.30662i | 0.262538 | − | 0.177084i | ||||
\(899\) | −0.886242 | − | 0.743645i | −0.0295578 | − | 0.0248020i | ||||
\(900\) | 0.788659 | − | 0.278302i | 0.0262886 | − | 0.00927675i | ||||
\(901\) | 32.2551 | + | 55.8675i | 1.07457 | + | 1.86122i | ||||
\(902\) | −19.6920 | − | 20.3917i | −0.655672 | − | 0.678968i | ||||
\(903\) | −9.17935 | − | 65.3145i | −0.305470 | − | 2.17353i | ||||
\(904\) | −10.6222 | + | 11.7972i | −0.353289 | + | 0.392368i | ||||
\(905\) | −21.7673 | + | 18.0834i | −0.723568 | + | 0.601112i | ||||
\(906\) | 3.73097 | − | 2.33137i | 0.123953 | − | 0.0774546i | ||||
\(907\) | −0.149128 | + | 0.409727i | −0.00495173 | + | 0.0136048i | −0.942144 | − | 0.335209i | \(-0.891193\pi\) |
0.937192 | + | 0.348814i | \(0.113415\pi\) | |||||||
\(908\) | −18.1160 | + | 0.632623i | −0.601199 | + | 0.0209943i | ||||
\(909\) | 0.329053 | − | 1.31976i | 0.0109140 | − | 0.0437736i | ||||
\(910\) | 8.25653 | + | 60.9187i | 0.273701 | + | 2.01944i | ||||
\(911\) | 42.8052 | + | 31.0998i | 1.41820 | + | 1.03038i | 0.992065 | + | 0.125723i | \(0.0401249\pi\) |
0.426134 | + | 0.904660i | \(0.359875\pi\) | |||||||
\(912\) | −2.14412 | + | 7.01603i | −0.0709989 | + | 0.232324i | ||||
\(913\) | 11.0386 | + | 15.1934i | 0.365325 | + | 0.502827i | ||||
\(914\) | 4.67287 | − | 9.58081i | 0.154565 | − | 0.316905i | ||||
\(915\) | −13.5974 | − | 37.9376i | −0.449517 | − | 1.25418i | ||||
\(916\) | 5.04112 | − | 7.47376i | 0.166563 | − | 0.246940i | ||||
\(917\) | 74.6735 | + | 58.3413i | 2.46594 | + | 1.92660i | ||||
\(918\) | −22.1456 | + | 26.3921i | −0.730915 | + | 0.871070i | ||||
\(919\) | −20.8229 | − | 23.1262i | −0.686884 | − | 0.762862i | 0.294347 | − | 0.955699i | \(-0.404898\pi\) |
−0.981231 | + | 0.192837i | \(0.938231\pi\) | |||||||
\(920\) | −0.967037 | + | 1.95824i | −0.0318823 | + | 0.0645612i | ||||
\(921\) | 17.2629 | − | 2.42615i | 0.568833 | − | 0.0799443i | ||||
\(922\) | 5.40651 | + | 38.4693i | 0.178054 | + | 1.26692i | ||||
\(923\) | −10.6861 | − | 1.12315i | −0.351737 | − | 0.0369690i | ||||
\(924\) | −14.6576 | + | 25.3877i | −0.482199 | + | 0.835193i | ||||
\(925\) | 2.50575 | − | 16.6410i | 0.0823885 | − | 0.547154i | ||||
\(926\) | −1.90586 | − | 0.693677i | −0.0626305 | − | 0.0227956i | ||||
\(927\) | 0.766428 | − | 2.67285i | 0.0251728 | − | 0.0877879i | ||||
\(928\) | 0.969656 | − | 1.55177i | 0.0318305 | − | 0.0509395i | ||||
\(929\) | −21.8920 | + | 11.6402i | −0.718253 | + | 0.381902i | −0.788010 | − | 0.615662i | \(-0.788889\pi\) |
0.0697570 | + | 0.997564i | \(0.477778\pi\) | |||||||
\(930\) | 1.47414 | − | 1.86782i | 0.0483388 | − | 0.0612482i | ||||
\(931\) | 40.0657 | − | 66.6982i | 1.31310 | − | 2.18595i | ||||
\(932\) | 27.6822i | 0.906761i | ||||||||
\(933\) | −1.75716 | + | 12.5029i | −0.0575269 | + | 0.409325i | ||||
\(934\) | −0.132186 | + | 0.530171i | −0.00432527 | + | 0.0173477i | ||||
\(935\) | 29.8802 | − | 40.7045i | 0.977188 | − | 1.33118i | ||||
\(936\) | −0.515846 | − | 0.764773i | −0.0168609 | − | 0.0249974i | ||||
\(937\) | 1.06314 | − | 15.2036i | 0.0347312 | − | 0.496679i | −0.948793 | − | 0.315900i | \(-0.897694\pi\) |
0.983524 | − | 0.180779i | \(-0.0578619\pi\) | |||||||
\(938\) | −2.73972 | + | 0.287956i | −0.0894550 | + | 0.00940210i | ||||
\(939\) | −2.81835 | + | 26.8148i | −0.0919733 | + | 0.875067i | ||||
\(940\) | −2.61787 | − | 5.95846i | −0.0853856 | − | 0.194344i | ||||
\(941\) | −10.4847 | − | 21.4968i | −0.341790 | − | 0.700774i | 0.656788 | − | 0.754075i | \(-0.271915\pi\) |
−0.998578 | + | 0.0533011i | \(0.983026\pi\) | |||||||
\(942\) | 4.60332 | + | 21.6569i | 0.149984 | + | 0.705621i | ||||
\(943\) | 6.86265 | + | 3.96215i | 0.223479 | + | 0.129026i | ||||
\(944\) | 1.23445 | − | 0.771373i | 0.0401781 | − | 0.0251060i | ||||
\(945\) | −50.5456 | + | 31.2401i | −1.64425 | + | 1.01624i | ||||
\(946\) | −16.9105 | − | 21.6444i | −0.549807 | − | 0.703722i | ||||
\(947\) | 14.6332 | − | 23.4181i | 0.475516 | − | 0.760985i | −0.520141 | − | 0.854080i | \(-0.674121\pi\) |
0.995657 | + | 0.0930956i | \(0.0296762\pi\) | |||||||
\(948\) | −18.2008 | − | 8.87711i | −0.591134 | − | 0.288315i | ||||
\(949\) | −10.9823 | −0.356501 | ||||||||
\(950\) | 14.4575 | − | 16.3089i | 0.469064 | − | 0.529130i | ||||
\(951\) | 14.2061 | 0.460666 | ||||||||
\(952\) | −28.9573 | − | 14.1234i | −0.938510 | − | 0.457742i | ||||
\(953\) | −19.8839 | + | 31.8208i | −0.644102 | + | 1.03078i | 0.351418 | + | 0.936219i | \(0.385700\pi\) |
−0.995519 | + | 0.0945592i | \(0.969856\pi\) | |||||||
\(954\) | −1.02788 | − | 1.31562i | −0.0332788 | − | 0.0425949i | ||||
\(955\) | −2.70982 | − | 11.1006i | −0.0876878 | − | 0.359206i | ||||
\(956\) | 22.2974 | − | 13.9329i | 0.721149 | − | 0.450624i | ||||
\(957\) | −9.31895 | − | 5.38030i | −0.301239 | − | 0.173920i | ||||
\(958\) | −7.74465 | − | 36.4357i | −0.250218 | − | 1.17718i | ||||
\(959\) | 37.9118 | + | 77.7307i | 1.22424 | + | 2.51005i | ||||
\(960\) | 3.24997 | + | 1.89773i | 0.104892 | + | 0.0612488i | ||||
\(961\) | 3.19860 | − | 30.4326i | 0.103181 | − | 0.981698i | ||||
\(962\) | −18.4607 | + | 1.94029i | −0.595196 | + | 0.0625576i | ||||
\(963\) | 0.00705985 | − | 0.100961i | 0.000227500 | − | 0.00325341i | ||||
\(964\) | −2.18725 | − | 3.24273i | −0.0704465 | − | 0.104441i | ||||
\(965\) | 22.9635 | − | 7.33673i | 0.739220 | − | 0.236178i | ||||
\(966\) | 1.98249 | − | 7.95132i | 0.0637855 | − | 0.255830i | ||||
\(967\) | −1.22514 | + | 8.71732i | −0.0393978 | + | 0.280330i | 0.960599 | + | 0.277937i | \(0.0896506\pi\) |
−0.999997 | + | 0.00239305i | \(0.999238\pi\) | |||||||
\(968\) | 1.20816i | 0.0388316i | ||||||||
\(969\) | −9.04171 | + | 46.5446i | −0.290462 | + | 1.49523i | ||||
\(970\) | −7.70818 | − | 2.84852i | −0.247495 | − | 0.0914604i | ||||
\(971\) | −37.6587 | + | 20.0235i | −1.20852 | + | 0.642584i | −0.946571 | − | 0.322497i | \(-0.895478\pi\) |
−0.261954 | + | 0.965080i | \(0.584367\pi\) | |||||||
\(972\) | 0.920045 | − | 1.47238i | 0.0295105 | − | 0.0472266i | ||||
\(973\) | −30.0711 | + | 104.870i | −0.964036 | + | 3.36199i | ||||
\(974\) | −22.1890 | − | 8.07613i | −0.710981 | − | 0.258776i | ||||
\(975\) | −7.60975 | − | 45.7836i | −0.243707 | − | 1.46625i | ||||
\(976\) | −5.35421 | + | 9.27376i | −0.171384 | + | 0.296846i | ||||
\(977\) | −12.0674 | − | 1.26833i | −0.386070 | − | 0.0405776i | −0.0904946 | − | 0.995897i | \(-0.528845\pi\) |
−0.295576 | + | 0.955319i | \(0.595511\pi\) | |||||||
\(978\) | 2.55086 | + | 18.1503i | 0.0815675 | + | 0.580383i | ||||
\(979\) | 7.92512 | − | 1.11380i | 0.253288 | − | 0.0355973i | ||||
\(980\) | −28.5752 | − | 27.8674i | −0.912802 | − | 0.890192i | ||||
\(981\) | −1.27999 | − | 1.42158i | −0.0408671 | − | 0.0453875i | ||||
\(982\) | −5.20125 | + | 6.19861i | −0.165979 | + | 0.197806i | ||||
\(983\) | −48.2492 | − | 37.6964i | −1.53891 | − | 1.20233i | −0.902273 | − | 0.431165i | \(-0.858103\pi\) |
−0.636637 | − | 0.771164i | \(-0.719675\pi\) | |||||||
\(984\) | 7.63586 | − | 11.3206i | 0.243422 | − | 0.360889i | ||||
\(985\) | −27.3222 | − | 18.6250i | −0.870556 | − | 0.593442i | ||||
\(986\) | 5.18422 | − | 10.6292i | 0.165099 | − | 0.338503i | ||||
\(987\) | 14.3536 | + | 19.7560i | 0.456880 | + | 0.628842i | ||||
\(988\) | −21.4209 | − | 10.9113i | −0.681490 | − | 0.347136i | ||||
\(989\) | 6.21176 | + | 4.51311i | 0.197522 | + | 0.143508i | ||||
\(990\) | −0.619175 | + | 1.15082i | −0.0196787 | + | 0.0365755i | ||||
\(991\) | −14.4569 | + | 57.9834i | −0.459238 | + | 1.84190i | 0.0758656 | + | 0.997118i | \(0.475828\pi\) |
−0.535104 | + | 0.844786i | \(0.679728\pi\) | |||||||
\(992\) | −0.631867 | + | 0.0220653i | −0.0200618 | + | 0.000700573i | ||||
\(993\) | 7.05149 | − | 19.3738i | 0.223772 | − | 0.614809i | ||||
\(994\) | 8.23635 | − | 5.14665i | 0.261241 | − | 0.163242i | ||||
\(995\) | 47.0542 | + | 29.7252i | 1.49172 | + | 0.942352i | ||||
\(996\) | −6.05320 | + | 6.72276i | −0.191803 | + | 0.213019i | ||||
\(997\) | −3.02897 | − | 21.5522i | −0.0959284 | − | 0.682566i | −0.977565 | − | 0.210636i | \(-0.932447\pi\) |
0.881636 | − | 0.471930i | \(-0.156442\pi\) | |||||||
\(998\) | 17.5448 | + | 18.1682i | 0.555371 | + | 0.575103i | ||||
\(999\) | −8.97091 | − | 15.5381i | −0.283827 | − | 0.491603i |
(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 | 950.2.bg.a.9.6 | ✓ | 1200 | |
19.17 | even | 9 | inner | 950.2.bg.a.359.31 | yes | 1200 | |
25.14 | even | 10 | inner | 950.2.bg.a.389.31 | yes | 1200 | |
475.264 | even | 90 | inner | 950.2.bg.a.739.6 | yes | 1200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.bg.a.9.6 | ✓ | 1200 | 1.1 | even | 1 | trivial | |
950.2.bg.a.359.31 | yes | 1200 | 19.17 | even | 9 | inner | |
950.2.bg.a.389.31 | yes | 1200 | 25.14 | even | 10 | inner | |
950.2.bg.a.739.6 | yes | 1200 | 475.264 | even | 90 | inner |