Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(13,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 15, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.v (of order \(32\), degree \(16\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 181.32 | ||
Character | \(\chi\) | \(=\) | 384.181 |
Dual form | 384.2.v.a.157.32 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{32}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41167 | + | 0.0847019i | 0.998205 | + | 0.0598933i | ||||
\(3\) | −0.0980171 | − | 0.995185i | −0.0565902 | − | 0.574570i | ||||
\(4\) | 1.98565 | + | 0.239143i | 0.992826 | + | 0.119572i | ||||
\(5\) | 1.11591 | + | 0.596466i | 0.499050 | + | 0.266748i | 0.701660 | − | 0.712512i | \(-0.252443\pi\) |
−0.202610 | + | 0.979259i | \(0.564943\pi\) | |||||||
\(6\) | −0.0540742 | − | 1.41318i | −0.0220757 | − | 0.576928i | ||||
\(7\) | −0.322650 | + | 1.62207i | −0.121950 | + | 0.613086i | 0.870675 | + | 0.491860i | \(0.163683\pi\) |
−0.992625 | + | 0.121226i | \(0.961317\pi\) | |||||||
\(8\) | 2.78284 | + | 0.505781i | 0.983882 | + | 0.178821i | ||||
\(9\) | −0.980785 | + | 0.195090i | −0.326928 | + | 0.0650301i | ||||
\(10\) | 1.52478 | + | 0.936535i | 0.482177 | + | 0.296158i | ||||
\(11\) | 2.19437 | + | 2.67384i | 0.661626 | + | 0.806194i | 0.990402 | − | 0.138214i | \(-0.0441362\pi\) |
−0.328776 | + | 0.944408i | \(0.606636\pi\) | |||||||
\(12\) | 0.0433638 | − | 1.99953i | 0.0125181 | − | 0.577215i | ||||
\(13\) | −1.37633 | − | 2.57494i | −0.381726 | − | 0.714159i | 0.615536 | − | 0.788109i | \(-0.288940\pi\) |
−0.997262 | + | 0.0739497i | \(0.976440\pi\) | |||||||
\(14\) | −0.592870 | + | 2.26251i | −0.158451 | + | 0.604681i | ||||
\(15\) | 0.484215 | − | 1.16900i | 0.125024 | − | 0.301834i | ||||
\(16\) | 3.88562 | + | 0.949710i | 0.971405 | + | 0.237427i | ||||
\(17\) | −1.55074 | − | 3.74381i | −0.376109 | − | 0.908007i | −0.992687 | − | 0.120713i | \(-0.961482\pi\) |
0.616579 | − | 0.787293i | \(-0.288518\pi\) | |||||||
\(18\) | −1.40107 | + | 0.192330i | −0.330236 | + | 0.0453325i | ||||
\(19\) | 0.0648022 | − | 0.213624i | 0.0148666 | − | 0.0490088i | −0.949193 | − | 0.314694i | \(-0.898098\pi\) |
0.964060 | + | 0.265685i | \(0.0855981\pi\) | |||||||
\(20\) | 2.07316 | + | 1.45123i | 0.463574 | + | 0.324506i | ||||
\(21\) | 1.64589 | + | 0.162106i | 0.359162 | + | 0.0353744i | ||||
\(22\) | 2.87125 | + | 3.96046i | 0.612153 | + | 0.844373i | ||||
\(23\) | −3.78613 | − | 2.52981i | −0.789463 | − | 0.527502i | 0.0942407 | − | 0.995549i | \(-0.469958\pi\) |
−0.883703 | + | 0.468047i | \(0.844958\pi\) | |||||||
\(24\) | 0.230580 | − | 2.81901i | 0.0470669 | − | 0.575429i | ||||
\(25\) | −1.88837 | − | 2.82615i | −0.377674 | − | 0.565229i | ||||
\(26\) | −1.72483 | − | 3.75155i | −0.338267 | − | 0.735740i | ||||
\(27\) | 0.290285 | + | 0.956940i | 0.0558653 | + | 0.184163i | ||||
\(28\) | −1.02858 | + | 3.14371i | −0.194383 | + | 0.594106i | ||||
\(29\) | −3.94961 | − | 3.24136i | −0.733423 | − | 0.601905i | 0.191753 | − | 0.981443i | \(-0.438583\pi\) |
−0.925176 | + | 0.379538i | \(0.876083\pi\) | |||||||
\(30\) | 0.782571 | − | 1.60923i | 0.142877 | − | 0.293804i | ||||
\(31\) | 5.85792 | + | 5.85792i | 1.05211 | + | 1.05211i | 0.998565 | + | 0.0535482i | \(0.0170531\pi\) |
0.0535482 | + | 0.998565i | \(0.482947\pi\) | |||||||
\(32\) | 5.40479 | + | 1.66980i | 0.955441 | + | 0.295182i | ||||
\(33\) | 2.44588 | − | 2.44588i | 0.425773 | − | 0.425773i | ||||
\(34\) | −1.87203 | − | 5.41639i | −0.321050 | − | 0.928903i | ||||
\(35\) | −1.32756 | + | 1.61764i | −0.224398 | + | 0.273430i | ||||
\(36\) | −1.99415 | + | 0.152833i | −0.332359 | + | 0.0254722i | ||||
\(37\) | −11.2249 | + | 3.40505i | −1.84537 | + | 0.559786i | −0.845710 | + | 0.533643i | \(0.820823\pi\) |
−0.999658 | + | 0.0261430i | \(0.991677\pi\) | |||||||
\(38\) | 0.109574 | − | 0.296079i | 0.0177753 | − | 0.0480304i | ||||
\(39\) | −2.42763 | + | 1.62209i | −0.388733 | + | 0.259743i | ||||
\(40\) | 2.80371 | + | 2.22427i | 0.443306 | + | 0.351688i | ||||
\(41\) | 2.04941 | − | 3.06716i | 0.320064 | − | 0.479009i | −0.636196 | − | 0.771527i | \(-0.719493\pi\) |
0.956260 | + | 0.292518i | \(0.0944931\pi\) | |||||||
\(42\) | 2.30973 | + | 0.368251i | 0.356399 | + | 0.0568223i | ||||
\(43\) | −0.519546 | + | 5.27504i | −0.0792300 | + | 0.804435i | 0.870667 | + | 0.491873i | \(0.163687\pi\) |
−0.949897 | + | 0.312563i | \(0.898813\pi\) | |||||||
\(44\) | 3.71781 | + | 5.83408i | 0.560481 | + | 0.879521i | ||||
\(45\) | −1.21083 | − | 0.367302i | −0.180500 | − | 0.0547541i | ||||
\(46\) | −5.13050 | − | 3.89196i | −0.756452 | − | 0.573839i | ||||
\(47\) | −2.35364 | + | 0.974910i | −0.343314 | + | 0.142205i | −0.547677 | − | 0.836690i | \(-0.684488\pi\) |
0.204363 | + | 0.978895i | \(0.434488\pi\) | |||||||
\(48\) | 0.564279 | − | 3.96000i | 0.0814467 | − | 0.571577i | ||||
\(49\) | 3.94014 | + | 1.63206i | 0.562877 | + | 0.233151i | ||||
\(50\) | −2.42638 | − | 4.14955i | −0.343143 | − | 0.586835i | ||||
\(51\) | −3.57378 | + | 1.91023i | −0.500430 | + | 0.267485i | ||||
\(52\) | −2.11714 | − | 5.44207i | −0.293594 | − | 0.754679i | ||||
\(53\) | −2.49585 | + | 2.04829i | −0.342831 | + | 0.281354i | −0.790015 | − | 0.613088i | \(-0.789927\pi\) |
0.447183 | + | 0.894442i | \(0.352427\pi\) | |||||||
\(54\) | 0.328733 | + | 1.37548i | 0.0447349 | + | 0.187179i | ||||
\(55\) | 0.853857 | + | 4.29263i | 0.115134 | + | 0.578818i | ||||
\(56\) | −1.71830 | + | 4.35078i | −0.229617 | + | 0.581397i | ||||
\(57\) | −0.218947 | − | 0.0435513i | −0.0290003 | − | 0.00576852i | ||||
\(58\) | −5.30101 | − | 4.91028i | −0.696057 | − | 0.644752i | ||||
\(59\) | 3.50455 | − | 6.55655i | 0.456253 | − | 0.853590i | −0.543645 | − | 0.839315i | \(-0.682956\pi\) |
0.999898 | − | 0.0142743i | \(-0.00454382\pi\) | |||||||
\(60\) | 1.24104 | − | 2.20543i | 0.160218 | − | 0.284720i | ||||
\(61\) | 2.87865 | − | 0.283522i | 0.368573 | − | 0.0363013i | 0.0879648 | − | 0.996124i | \(-0.471964\pi\) |
0.280609 | + | 0.959822i | \(0.409464\pi\) | |||||||
\(62\) | 7.77330 | + | 8.76565i | 0.987210 | + | 1.11324i | ||||
\(63\) | − | 1.65385i | − | 0.208366i | ||||||
\(64\) | 7.48837 | + | 2.81501i | 0.936046 | + | 0.351877i | ||||
\(65\) | − | 3.69433i | − | 0.458225i | ||||||
\(66\) | 3.65996 | − | 3.24562i | 0.450510 | − | 0.399508i | ||||
\(67\) | −9.85831 | + | 0.970958i | −1.20438 | + | 0.118621i | −0.680228 | − | 0.733001i | \(-0.738119\pi\) |
−0.524156 | + | 0.851622i | \(0.675619\pi\) | |||||||
\(68\) | −2.18391 | − | 7.80474i | −0.264839 | − | 0.946464i | ||||
\(69\) | −2.14652 | + | 4.01586i | −0.258411 | + | 0.483453i | ||||
\(70\) | −2.01110 | + | 2.17113i | −0.240372 | + | 0.259499i | ||||
\(71\) | −5.76433 | − | 1.14660i | −0.684100 | − | 0.136076i | −0.159208 | − | 0.987245i | \(-0.550894\pi\) |
−0.524892 | + | 0.851169i | \(0.675894\pi\) | |||||||
\(72\) | −2.82804 | + | 0.0468422i | −0.333288 | + | 0.00552041i | ||||
\(73\) | 1.76363 | + | 8.86634i | 0.206417 | + | 1.03773i | 0.935507 | + | 0.353309i | \(0.114944\pi\) |
−0.729090 | + | 0.684418i | \(0.760056\pi\) | |||||||
\(74\) | −16.1344 | + | 3.85604i | −1.87558 | + | 0.448256i | ||||
\(75\) | −2.62744 | + | 2.15629i | −0.303391 | + | 0.248987i | ||||
\(76\) | 0.179761 | − | 0.408686i | 0.0206200 | − | 0.0468795i | ||||
\(77\) | −5.04518 | + | 2.69670i | −0.574952 | + | 0.307318i | ||||
\(78\) | −3.56442 | + | 2.08424i | −0.403592 | + | 0.235994i | ||||
\(79\) | −3.18689 | − | 1.32005i | −0.358554 | − | 0.148518i | 0.196133 | − | 0.980577i | \(-0.437162\pi\) |
−0.554686 | + | 0.832060i | \(0.687162\pi\) | |||||||
\(80\) | 3.76953 | + | 3.37743i | 0.421446 | + | 0.377608i | ||||
\(81\) | 0.923880 | − | 0.382683i | 0.102653 | − | 0.0425204i | ||||
\(82\) | 3.15289 | − | 4.15624i | 0.348179 | − | 0.458980i | ||||
\(83\) | −2.47435 | − | 0.750586i | −0.271595 | − | 0.0823875i | 0.151549 | − | 0.988450i | \(-0.451574\pi\) |
−0.423144 | + | 0.906062i | \(0.639074\pi\) | |||||||
\(84\) | 3.22939 | + | 0.715488i | 0.352356 | + | 0.0780662i | ||||
\(85\) | 0.502573 | − | 5.10271i | 0.0545117 | − | 0.553466i | ||||
\(86\) | −1.18024 | + | 7.40263i | −0.127268 | + | 0.798246i | ||||
\(87\) | −2.83862 | + | 4.24830i | −0.304332 | + | 0.455465i | ||||
\(88\) | 4.75418 | + | 8.55074i | 0.506798 | + | 0.911511i | ||||
\(89\) | 5.57553 | − | 3.72545i | 0.591005 | − | 0.394897i | −0.223797 | − | 0.974636i | \(-0.571845\pi\) |
0.814803 | + | 0.579739i | \(0.196845\pi\) | |||||||
\(90\) | −1.67819 | − | 0.621070i | −0.176897 | − | 0.0654666i | ||||
\(91\) | 4.62081 | − | 1.40171i | 0.484393 | − | 0.146939i | ||||
\(92\) | −6.91295 | − | 5.92875i | −0.720724 | − | 0.618115i | ||||
\(93\) | 5.25554 | − | 6.40389i | 0.544974 | − | 0.664052i | ||||
\(94\) | −3.40515 | + | 1.17690i | −0.351215 | + | 0.121388i | ||||
\(95\) | 0.199733 | − | 0.199733i | 0.0204922 | − | 0.0204922i | ||||
\(96\) | 1.13200 | − | 5.54243i | 0.115534 | − | 0.565672i | ||||
\(97\) | −8.49241 | − | 8.49241i | −0.862273 | − | 0.862273i | 0.129328 | − | 0.991602i | \(-0.458718\pi\) |
−0.991602 | + | 0.129328i | \(0.958718\pi\) | |||||||
\(98\) | 5.42396 | + | 2.63767i | 0.547902 | + | 0.266445i | ||||
\(99\) | −2.67384 | − | 2.19437i | −0.268731 | − | 0.220542i | ||||
\(100\) | −3.07379 | − | 6.06333i | −0.307379 | − | 0.606333i | ||||
\(101\) | −0.319260 | − | 1.05246i | −0.0317676 | − | 0.104724i | 0.939623 | − | 0.342212i | \(-0.111176\pi\) |
−0.971390 | + | 0.237488i | \(0.923676\pi\) | |||||||
\(102\) | −5.20682 | + | 2.39391i | −0.515552 | + | 0.237033i | ||||
\(103\) | 10.7916 | + | 16.1508i | 1.06333 | + | 1.59138i | 0.772946 | + | 0.634472i | \(0.218782\pi\) |
0.290382 | + | 0.956911i | \(0.406218\pi\) | |||||||
\(104\) | −2.52776 | − | 7.86176i | −0.247867 | − | 0.770909i | ||||
\(105\) | 1.73997 | + | 1.16261i | 0.169804 | + | 0.113459i | ||||
\(106\) | −3.69682 | + | 2.68012i | −0.359067 | + | 0.260316i | ||||
\(107\) | −7.59750 | − | 0.748289i | −0.734479 | − | 0.0723398i | −0.276140 | − | 0.961117i | \(-0.589055\pi\) |
−0.458339 | + | 0.888778i | \(0.651555\pi\) | |||||||
\(108\) | 0.347558 | + | 1.96957i | 0.0334438 | + | 0.189522i | ||||
\(109\) | −2.77922 | + | 9.16187i | −0.266201 | + | 0.877548i | 0.717318 | + | 0.696746i | \(0.245369\pi\) |
−0.983519 | + | 0.180802i | \(0.942131\pi\) | |||||||
\(110\) | 0.841774 | + | 6.13212i | 0.0802600 | + | 0.584674i | ||||
\(111\) | 4.48889 | + | 10.8371i | 0.426066 | + | 1.02861i | ||||
\(112\) | −2.79420 | + | 5.99634i | −0.264027 | + | 0.566601i | ||||
\(113\) | 6.51206 | − | 15.7215i | 0.612603 | − | 1.47896i | −0.247527 | − | 0.968881i | \(-0.579618\pi\) |
0.860130 | − | 0.510074i | \(-0.170382\pi\) | |||||||
\(114\) | −0.305394 | − | 0.0800256i | −0.0286027 | − | 0.00749508i | ||||
\(115\) | −2.71603 | − | 5.08133i | −0.253271 | − | 0.473837i | ||||
\(116\) | −7.06739 | − | 7.38073i | −0.656191 | − | 0.685283i | ||||
\(117\) | 1.85223 | + | 2.25695i | 0.171239 | + | 0.208655i | ||||
\(118\) | 5.50263 | − | 8.95887i | 0.506558 | − | 0.824731i | ||||
\(119\) | 6.57307 | − | 1.30747i | 0.602553 | − | 0.119855i | ||||
\(120\) | 1.93875 | − | 3.00823i | 0.176983 | − | 0.274612i | ||||
\(121\) | −0.188197 | + | 0.946132i | −0.0171088 | + | 0.0860120i | ||||
\(122\) | 4.08773 | − | 0.156414i | 0.370086 | − | 0.0141611i | ||||
\(123\) | −3.25326 | − | 1.73891i | −0.293337 | − | 0.156792i | ||||
\(124\) | 10.2309 | + | 13.0327i | 0.918762 | + | 1.17037i | ||||
\(125\) | −1.04166 | − | 10.5762i | −0.0931692 | − | 0.945963i | ||||
\(126\) | 0.140084 | − | 2.33470i | 0.0124797 | − | 0.207992i | ||||
\(127\) | 12.8451 | 1.13982 | 0.569909 | − | 0.821708i | \(-0.306978\pi\) | ||||
0.569909 | + | 0.821708i | \(0.306978\pi\) | |||||||
\(128\) | 10.3327 | + | 4.60816i | 0.913291 | + | 0.407308i | ||||
\(129\) | 5.30056 | 0.466688 | ||||||||
\(130\) | 0.312917 | − | 5.21519i | 0.0274446 | − | 0.457403i | ||||
\(131\) | −1.02431 | − | 10.4000i | −0.0894947 | − | 0.908655i | −0.930173 | − | 0.367120i | \(-0.880344\pi\) |
0.840679 | − | 0.541534i | \(-0.182156\pi\) | |||||||
\(132\) | 5.44158 | − | 4.27175i | 0.473629 | − | 0.371808i | ||||
\(133\) | 0.325606 | + | 0.174040i | 0.0282336 | + | 0.0150912i | ||||
\(134\) | −13.9990 | + | 0.535660i | −1.20933 | + | 0.0462740i | ||||
\(135\) | −0.246851 | + | 1.24100i | −0.0212455 | + | 0.106809i | ||||
\(136\) | −2.42190 | − | 11.2027i | −0.207676 | − | 0.960627i | ||||
\(137\) | 19.5291 | − | 3.88459i | 1.66849 | − | 0.331883i | 0.731658 | − | 0.681672i | \(-0.238747\pi\) |
0.936828 | + | 0.349789i | \(0.113747\pi\) | |||||||
\(138\) | −3.37034 | + | 5.48728i | −0.286903 | + | 0.467108i | ||||
\(139\) | −0.183178 | − | 0.223203i | −0.0155370 | − | 0.0189318i | 0.765184 | − | 0.643812i | \(-0.222648\pi\) |
−0.780721 | + | 0.624880i | \(0.785148\pi\) | |||||||
\(140\) | −3.02292 | + | 2.89458i | −0.255483 | + | 0.244637i | ||||
\(141\) | 1.20091 | + | 2.24675i | 0.101135 | + | 0.189211i | ||||
\(142\) | −8.04024 | − | 2.10687i | −0.674722 | − | 0.176805i | ||||
\(143\) | 3.86480 | − | 9.33045i | 0.323191 | − | 0.780251i | ||||
\(144\) | −3.99624 | − | 0.173414i | −0.333020 | − | 0.0144512i | ||||
\(145\) | −2.47404 | − | 5.97286i | −0.205458 | − | 0.496019i | ||||
\(146\) | 1.73867 | + | 12.6658i | 0.143893 | + | 1.04823i | ||||
\(147\) | 1.23800 | − | 4.08114i | 0.102108 | − | 0.336606i | ||||
\(148\) | −23.1031 | + | 4.07687i | −1.89906 | + | 0.335117i | ||||
\(149\) | −3.88769 | − | 0.382904i | −0.318492 | − | 0.0313687i | −0.0624917 | − | 0.998045i | \(-0.519905\pi\) |
−0.256000 | + | 0.966677i | \(0.582405\pi\) | |||||||
\(150\) | −3.89174 | + | 2.82143i | −0.317759 | + | 0.230369i | ||||
\(151\) | 6.04299 | + | 4.03780i | 0.491772 | + | 0.328591i | 0.776607 | − | 0.629985i | \(-0.216939\pi\) |
−0.284835 | + | 0.958576i | \(0.591939\pi\) | |||||||
\(152\) | 0.288381 | − | 0.561706i | 0.0233908 | − | 0.0455604i | ||||
\(153\) | 2.25132 | + | 3.36934i | 0.182008 | + | 0.272395i | ||||
\(154\) | −7.35057 | + | 3.37953i | −0.592326 | + | 0.272331i | ||||
\(155\) | 3.04286 | + | 10.0310i | 0.244408 | + | 0.805705i | ||||
\(156\) | −5.20835 | + | 2.64036i | −0.417002 | + | 0.211398i | ||||
\(157\) | 11.8729 | + | 9.74385i | 0.947562 | + | 0.777644i | 0.975052 | − | 0.221978i | \(-0.0712513\pi\) |
−0.0274896 | + | 0.999622i | \(0.508751\pi\) | |||||||
\(158\) | −4.38705 | − | 2.13342i | −0.349015 | − | 0.169726i | ||||
\(159\) | 2.28306 | + | 2.28306i | 0.181059 | + | 0.181059i | ||||
\(160\) | 5.03527 | + | 5.08712i | 0.398073 | + | 0.402172i | ||||
\(161\) | 5.32513 | − | 5.32513i | 0.419679 | − | 0.419679i | ||||
\(162\) | 1.33663 | − | 0.461970i | 0.105016 | − | 0.0362958i | ||||
\(163\) | 4.43324 | − | 5.40192i | 0.347238 | − | 0.423111i | −0.569879 | − | 0.821729i | \(-0.693010\pi\) |
0.917117 | + | 0.398618i | \(0.130510\pi\) | |||||||
\(164\) | 4.80290 | − | 5.60020i | 0.375043 | − | 0.437302i | ||||
\(165\) | 4.18826 | − | 1.27050i | 0.326056 | − | 0.0989080i | ||||
\(166\) | −3.42940 | − | 1.26916i | −0.266173 | − | 0.0985063i | ||||
\(167\) | −1.92266 | + | 1.28468i | −0.148780 | + | 0.0994117i | −0.627732 | − | 0.778429i | \(-0.716017\pi\) |
0.478952 | + | 0.877841i | \(0.341017\pi\) | |||||||
\(168\) | 4.49825 | + | 1.28357i | 0.347047 | + | 0.0990298i | ||||
\(169\) | 2.48640 | − | 3.72116i | 0.191262 | − | 0.286243i | ||||
\(170\) | 1.14168 | − | 7.16080i | 0.0875628 | − | 0.549208i | ||||
\(171\) | −0.0218810 | + | 0.222162i | −0.00167328 | + | 0.0169891i | ||||
\(172\) | −2.29313 | + | 10.3501i | −0.174849 | + | 0.789190i | ||||
\(173\) | 10.0879 | + | 3.06013i | 0.766968 | + | 0.232657i | 0.649440 | − | 0.760412i | \(-0.275003\pi\) |
0.117528 | + | 0.993070i | \(0.462503\pi\) | |||||||
\(174\) | −4.36705 | + | 5.75677i | −0.331065 | + | 0.436420i | ||||
\(175\) | 5.19350 | − | 2.15122i | 0.392592 | − | 0.162617i | ||||
\(176\) | 5.98710 | + | 12.4735i | 0.451294 | + | 0.940229i | ||||
\(177\) | −6.86848 | − | 2.84502i | −0.516267 | − | 0.213845i | ||||
\(178\) | 8.18639 | − | 4.78687i | 0.613596 | − | 0.358791i | ||||
\(179\) | −14.8566 | + | 7.94104i | −1.11044 | + | 0.593541i | −0.921473 | − | 0.388442i | \(-0.873013\pi\) |
−0.188965 | + | 0.981984i | \(0.560513\pi\) | |||||||
\(180\) | −2.31645 | − | 1.01890i | −0.172658 | − | 0.0759440i | ||||
\(181\) | −8.95514 | + | 7.34929i | −0.665630 | + | 0.546268i | −0.905399 | − | 0.424562i | \(-0.860428\pi\) |
0.239769 | + | 0.970830i | \(0.422928\pi\) | |||||||
\(182\) | 6.64181 | − | 1.58736i | 0.492324 | − | 0.117663i | ||||
\(183\) | −0.564314 | − | 2.83700i | −0.0417153 | − | 0.209717i | ||||
\(184\) | −9.25665 | − | 8.95501i | −0.682410 | − | 0.660172i | ||||
\(185\) | −14.5570 | − | 2.89557i | −1.07025 | − | 0.212886i | ||||
\(186\) | 7.96153 | − | 8.59505i | 0.583768 | − | 0.630220i | ||||
\(187\) | 6.60747 | − | 12.3617i | 0.483186 | − | 0.903977i | ||||
\(188\) | −4.90666 | + | 1.37297i | −0.357855 | + | 0.100134i | ||||
\(189\) | −1.64589 | + | 0.162106i | −0.119721 | + | 0.0117915i | ||||
\(190\) | 0.298876 | − | 0.265040i | 0.0216827 | − | 0.0192280i | ||||
\(191\) | 16.4488i | 1.19019i | 0.803654 | + | 0.595096i | \(0.202886\pi\) | ||||
−0.803654 | + | 0.595096i | \(0.797114\pi\) | |||||||
\(192\) | 2.06747 | − | 7.72823i | 0.149207 | − | 0.557737i | ||||
\(193\) | 9.52497i | 0.685622i | 0.939404 | + | 0.342811i | \(0.111379\pi\) | ||||
−0.939404 | + | 0.342811i | \(0.888621\pi\) | |||||||
\(194\) | −11.2692 | − | 12.7078i | −0.809081 | − | 0.912370i | ||||
\(195\) | −3.67654 | + | 0.362108i | −0.263283 | + | 0.0259311i | ||||
\(196\) | 7.43345 | + | 4.18296i | 0.530960 | + | 0.298783i | ||||
\(197\) | −1.12756 | + | 2.10952i | −0.0803353 | + | 0.150297i | −0.918881 | − | 0.394534i | \(-0.870906\pi\) |
0.838546 | + | 0.544831i | \(0.183406\pi\) | |||||||
\(198\) | −3.58873 | − | 3.32421i | −0.255040 | − | 0.236241i | ||||
\(199\) | 1.44709 | + | 0.287844i | 0.102581 | + | 0.0204047i | 0.246114 | − | 0.969241i | \(-0.420846\pi\) |
−0.143533 | + | 0.989646i | \(0.545846\pi\) | |||||||
\(200\) | −3.82562 | − | 8.81981i | −0.270512 | − | 0.623654i | ||||
\(201\) | 1.93257 | + | 9.71567i | 0.136313 | + | 0.685290i | ||||
\(202\) | −0.361546 | − | 1.51277i | −0.0254383 | − | 0.106438i | ||||
\(203\) | 6.53206 | − | 5.36072i | 0.458461 | − | 0.376249i | ||||
\(204\) | −7.55310 | + | 2.93840i | −0.528823 | + | 0.205729i | ||||
\(205\) | 4.11641 | − | 2.20027i | 0.287502 | − | 0.153673i | ||||
\(206\) | 13.8662 | + | 23.7137i | 0.966106 | + | 1.65221i | ||||
\(207\) | 4.20692 | + | 1.74256i | 0.292401 | + | 0.121117i | ||||
\(208\) | −2.90246 | − | 11.3123i | −0.201250 | − | 0.784370i | ||||
\(209\) | 0.713397 | − | 0.295499i | 0.0493467 | − | 0.0204401i | ||||
\(210\) | 2.35780 | + | 1.78861i | 0.162703 | + | 0.123426i | ||||
\(211\) | 19.6349 | + | 5.95619i | 1.35172 | + | 0.410041i | 0.881366 | − | 0.472435i | \(-0.156625\pi\) |
0.470358 | + | 0.882476i | \(0.344125\pi\) | |||||||
\(212\) | −5.44572 | + | 3.47033i | −0.374014 | + | 0.238343i | ||||
\(213\) | −0.576072 | + | 5.84896i | −0.0394718 | + | 0.400764i | ||||
\(214\) | −10.6618 | − | 1.69986i | −0.728827 | − | 0.116200i | ||||
\(215\) | −3.72614 | + | 5.57657i | −0.254121 | + | 0.380319i | ||||
\(216\) | 0.323813 | + | 2.80983i | 0.0220327 | + | 0.191185i | ||||
\(217\) | −11.3920 | + | 7.61191i | −0.773342 | + | 0.516730i | ||||
\(218\) | −4.69939 | + | 12.6982i | −0.318283 | + | 0.860029i | ||||
\(219\) | 8.65078 | − | 2.62419i | 0.584566 | − | 0.177326i | ||||
\(220\) | 0.668909 | + | 8.72785i | 0.0450978 | + | 0.588432i | ||||
\(221\) | −7.50574 | + | 9.14577i | −0.504891 | + | 0.615211i | ||||
\(222\) | 5.41892 | + | 15.6787i | 0.363694 | + | 1.05229i | ||||
\(223\) | 0.898803 | − | 0.898803i | 0.0601883 | − | 0.0601883i | −0.676372 | − | 0.736560i | \(-0.736449\pi\) |
0.736560 | + | 0.676372i | \(0.236449\pi\) | |||||||
\(224\) | −4.45240 | + | 8.22820i | −0.297488 | + | 0.549770i | ||||
\(225\) | 2.40344 | + | 2.40344i | 0.160229 | + | 0.160229i | ||||
\(226\) | 10.5246 | − | 21.6421i | 0.700083 | − | 1.43961i | ||||
\(227\) | −14.1433 | − | 11.6071i | −0.938723 | − | 0.770390i | 0.0347015 | − | 0.999398i | \(-0.488952\pi\) |
−0.973425 | + | 0.229007i | \(0.926452\pi\) | |||||||
\(228\) | −0.424338 | − | 0.138838i | −0.0281025 | − | 0.00919474i | ||||
\(229\) | −4.36652 | − | 14.3945i | −0.288548 | − | 0.951215i | −0.974655 | − | 0.223714i | \(-0.928182\pi\) |
0.686107 | − | 0.727501i | \(-0.259318\pi\) | |||||||
\(230\) | −3.40375 | − | 7.40325i | −0.224437 | − | 0.488156i | ||||
\(231\) | 3.17823 | + | 4.75656i | 0.209112 | + | 0.312959i | ||||
\(232\) | −9.35169 | − | 11.0178i | −0.613969 | − | 0.723354i | ||||
\(233\) | 11.9924 | + | 8.01305i | 0.785647 | + | 0.524952i | 0.882481 | − | 0.470348i | \(-0.155872\pi\) |
−0.0968342 | + | 0.995301i | \(0.530872\pi\) | |||||||
\(234\) | 2.42358 | + | 3.34297i | 0.158434 | + | 0.218537i | ||||
\(235\) | −3.20795 | − | 0.315956i | −0.209264 | − | 0.0206107i | ||||
\(236\) | 8.52676 | − | 12.1809i | 0.555045 | − | 0.792911i | ||||
\(237\) | −1.00133 | + | 3.30094i | −0.0650432 | + | 0.214419i | ||||
\(238\) | 9.38979 | − | 1.28896i | 0.608650 | − | 0.0835511i | ||||
\(239\) | −6.20240 | − | 14.9739i | −0.401200 | − | 0.968583i | −0.987375 | − | 0.158398i | \(-0.949367\pi\) |
0.586175 | − | 0.810184i | \(-0.300633\pi\) | |||||||
\(240\) | 2.99169 | − | 4.08242i | 0.193113 | − | 0.263519i | ||||
\(241\) | 2.06308 | − | 4.98071i | 0.132895 | − | 0.320836i | −0.843399 | − | 0.537288i | \(-0.819449\pi\) |
0.976293 | + | 0.216453i | \(0.0694487\pi\) | |||||||
\(242\) | −0.345813 | + | 1.31969i | −0.0222297 | + | 0.0848329i | ||||
\(243\) | −0.471397 | − | 0.881921i | −0.0302401 | − | 0.0565753i | ||||
\(244\) | 5.78380 | + | 0.125433i | 0.370270 | + | 0.00803004i | ||||
\(245\) | 3.42337 | + | 4.17139i | 0.218711 | + | 0.266500i | ||||
\(246\) | −4.44526 | − | 2.73033i | −0.283420 | − | 0.174079i | ||||
\(247\) | −0.639259 | + | 0.127156i | −0.0406751 | + | 0.00809077i | ||||
\(248\) | 13.3388 | + | 19.2645i | 0.847016 | + | 1.22329i | ||||
\(249\) | −0.504443 | + | 2.53600i | −0.0319678 | + | 0.160713i | ||||
\(250\) | −0.574666 | − | 15.0184i | −0.0363451 | − | 0.949845i | ||||
\(251\) | 27.7490 | + | 14.8322i | 1.75150 | + | 0.936198i | 0.931413 | + | 0.363964i | \(0.118577\pi\) |
0.820090 | + | 0.572234i | \(0.193923\pi\) | |||||||
\(252\) | 0.395507 | − | 3.28397i | 0.0249146 | − | 0.206871i | ||||
\(253\) | −1.54384 | − | 15.6748i | −0.0970602 | − | 0.985469i | ||||
\(254\) | 18.1331 | + | 1.08800i | 1.13777 | + | 0.0682675i | ||||
\(255\) | −5.12740 | −0.321090 | ||||||||
\(256\) | 14.1961 | + | 7.38043i | 0.887256 | + | 0.461277i | ||||
\(257\) | 23.2528 | 1.45047 | 0.725235 | − | 0.688501i | \(-0.241731\pi\) | ||||
0.725235 | + | 0.688501i | \(0.241731\pi\) | |||||||
\(258\) | 7.48267 | + | 0.448968i | 0.465850 | + | 0.0279515i | ||||
\(259\) | −1.90150 | − | 19.3063i | −0.118154 | − | 1.19964i | ||||
\(260\) | 0.883474 | − | 7.33565i | 0.0547907 | − | 0.454938i | ||||
\(261\) | 4.50607 | + | 2.40855i | 0.278919 | + | 0.149085i | ||||
\(262\) | −0.565095 | − | 14.7682i | −0.0349117 | − | 0.912384i | ||||
\(263\) | 1.37401 | − | 6.90760i | 0.0847249 | − | 0.425941i | −0.915021 | − | 0.403406i | \(-0.867826\pi\) |
0.999746 | − | 0.0225350i | \(-0.00717371\pi\) | |||||||
\(264\) | 8.04357 | − | 5.56941i | 0.495047 | − | 0.342773i | ||||
\(265\) | −4.00688 | + | 0.797017i | −0.246140 | + | 0.0489604i | ||||
\(266\) | 0.444908 | + | 0.273267i | 0.0272791 | + | 0.0167551i | ||||
\(267\) | −4.25401 | − | 5.18353i | −0.260341 | − | 0.317227i | ||||
\(268\) | −19.8074 | − | 0.429562i | −1.20993 | − | 0.0262397i | ||||
\(269\) | 11.9852 | + | 22.4227i | 0.730750 | + | 1.36714i | 0.922618 | + | 0.385716i | \(0.126046\pi\) |
−0.191868 | + | 0.981421i | \(0.561454\pi\) | |||||||
\(270\) | −0.453588 | + | 1.73098i | −0.0276045 | + | 0.105344i | ||||
\(271\) | 11.3032 | − | 27.2883i | 0.686620 | − | 1.65765i | −0.0648615 | − | 0.997894i | \(-0.520661\pi\) |
0.751482 | − | 0.659754i | \(-0.229339\pi\) | |||||||
\(272\) | −2.47004 | − | 16.0198i | −0.149768 | − | 0.971341i | ||||
\(273\) | −1.84788 | − | 4.46117i | −0.111839 | − | 0.270002i | ||||
\(274\) | 27.8978 | − | 3.82962i | 1.68537 | − | 0.231356i | ||||
\(275\) | 3.41289 | − | 11.2508i | 0.205805 | − | 0.678449i | ||||
\(276\) | −5.22261 | + | 7.46078i | −0.314364 | + | 0.449086i | ||||
\(277\) | −22.7036 | − | 2.23611i | −1.36413 | − | 0.134355i | −0.610687 | − | 0.791872i | \(-0.709107\pi\) |
−0.753440 | + | 0.657517i | \(0.771607\pi\) | |||||||
\(278\) | −0.239682 | − | 0.330606i | −0.0143752 | − | 0.0198284i | ||||
\(279\) | −6.88818 | − | 4.60254i | −0.412385 | − | 0.275547i | ||||
\(280\) | −4.51255 | + | 3.83016i | −0.269677 | + | 0.228896i | ||||
\(281\) | 11.9565 | + | 17.8941i | 0.713263 | + | 1.06747i | 0.994179 | + | 0.107741i | \(0.0343618\pi\) |
−0.280916 | + | 0.959732i | \(0.590638\pi\) | |||||||
\(282\) | 1.50499 | + | 3.27340i | 0.0896211 | + | 0.194928i | ||||
\(283\) | −2.45574 | − | 8.09549i | −0.145979 | − | 0.481227i | 0.853207 | − | 0.521572i | \(-0.174654\pi\) |
−0.999186 | + | 0.0403452i | \(0.987154\pi\) | |||||||
\(284\) | −11.1717 | − | 3.65524i | −0.662921 | − | 0.216899i | ||||
\(285\) | −0.218348 | − | 0.179194i | −0.0129338 | − | 0.0106145i | ||||
\(286\) | 6.24615 | − | 12.8442i | 0.369342 | − | 0.759494i | ||||
\(287\) | 4.31391 | + | 4.31391i | 0.254642 | + | 0.254642i | ||||
\(288\) | −5.62670 | − | 0.583294i | −0.331557 | − | 0.0343709i | ||||
\(289\) | 0.409501 | − | 0.409501i | 0.0240883 | − | 0.0240883i | ||||
\(290\) | −2.98663 | − | 8.64130i | −0.175381 | − | 0.507434i | ||||
\(291\) | −7.61911 | + | 9.28392i | −0.446640 | + | 0.544233i | ||||
\(292\) | 1.38162 | + | 18.0272i | 0.0808531 | + | 1.05496i | ||||
\(293\) | −25.9749 | + | 7.87939i | −1.51747 | + | 0.460319i | −0.935629 | − | 0.352986i | \(-0.885166\pi\) |
−0.581838 | + | 0.813304i | \(0.697666\pi\) | |||||||
\(294\) | 2.09333 | − | 5.65638i | 0.122086 | − | 0.329887i | ||||
\(295\) | 7.82151 | − | 5.22617i | 0.455386 | − | 0.304279i | ||||
\(296\) | −32.9594 | + | 3.79833i | −1.91573 | + | 0.220774i | ||||
\(297\) | −1.92172 | + | 2.87605i | −0.111509 | + | 0.166885i | ||||
\(298\) | −5.45572 | − | 0.869830i | −0.316041 | − | 0.0503879i | ||||
\(299\) | −1.30313 | + | 13.2309i | −0.0753620 | + | 0.765163i | ||||
\(300\) | −5.73285 | + | 3.65330i | −0.330986 | + | 0.210923i | ||||
\(301\) | −8.38886 | − | 2.54473i | −0.483526 | − | 0.146676i | ||||
\(302\) | 8.18873 | + | 6.21191i | 0.471209 | + | 0.357455i | ||||
\(303\) | −1.01610 | + | 0.420882i | −0.0583734 | + | 0.0241790i | ||||
\(304\) | 0.454678 | − | 0.768520i | 0.0260776 | − | 0.0440776i | ||||
\(305\) | 3.38142 | + | 1.40063i | 0.193620 | + | 0.0801999i | ||||
\(306\) | 2.89274 | + | 4.94710i | 0.165367 | + | 0.282807i | ||||
\(307\) | −6.01774 | + | 3.21655i | −0.343451 | + | 0.183578i | −0.634099 | − | 0.773252i | \(-0.718629\pi\) |
0.290649 | + | 0.956830i | \(0.406129\pi\) | |||||||
\(308\) | −10.6629 | + | 4.14819i | −0.607573 | + | 0.236365i | ||||
\(309\) | 15.0152 | − | 12.3227i | 0.854187 | − | 0.701013i | ||||
\(310\) | 3.44588 | + | 14.4182i | 0.195713 | + | 0.818897i | ||||
\(311\) | 3.46431 | + | 17.4163i | 0.196443 | + | 0.987586i | 0.945634 | + | 0.325232i | \(0.105442\pi\) |
−0.749191 | + | 0.662354i | \(0.769558\pi\) | |||||||
\(312\) | −7.57614 | + | 3.28617i | −0.428914 | + | 0.186043i | ||||
\(313\) | −13.2953 | − | 2.64461i | −0.751496 | − | 0.149482i | −0.195543 | − | 0.980695i | \(-0.562647\pi\) |
−0.555954 | + | 0.831213i | \(0.687647\pi\) | |||||||
\(314\) | 15.9354 | + | 14.7608i | 0.899285 | + | 0.833001i | ||||
\(315\) | 0.986466 | − | 1.84555i | 0.0555810 | − | 0.103985i | ||||
\(316\) | −6.01238 | − | 3.38329i | −0.338223 | − | 0.190325i | ||||
\(317\) | −1.38041 | + | 0.135959i | −0.0775316 | + | 0.00763619i | −0.136709 | − | 0.990611i | \(-0.543652\pi\) |
0.0591770 | + | 0.998248i | \(0.481152\pi\) | |||||||
\(318\) | 3.02956 | + | 3.41632i | 0.169890 | + | 0.191578i | ||||
\(319\) | − | 17.6733i | − | 0.989517i | ||||||
\(320\) | 6.67728 | + | 7.60785i | 0.373271 | + | 0.425292i | ||||
\(321\) | 7.63427i | 0.426103i | ||||||||
\(322\) | 7.96841 | − | 7.06631i | 0.444062 | − | 0.393790i | ||||
\(323\) | −0.900259 | + | 0.0886678i | −0.0500918 | + | 0.00493361i | ||||
\(324\) | 1.92602 | − | 0.538936i | 0.107001 | − | 0.0299409i | ||||
\(325\) | −4.67812 | + | 8.75215i | −0.259496 | + | 0.485482i | ||||
\(326\) | 6.71585 | − | 7.25025i | 0.371956 | − | 0.401554i | ||||
\(327\) | 9.39016 | + | 1.86782i | 0.519277 | + | 0.103291i | ||||
\(328\) | 7.25448 | − | 7.49885i | 0.400562 | − | 0.414055i | ||||
\(329\) | −0.821972 | − | 4.13233i | −0.0453168 | − | 0.227823i | ||||
\(330\) | 6.02008 | − | 1.43877i | 0.331395 | − | 0.0792018i | ||||
\(331\) | −10.2837 | + | 8.43963i | −0.565244 | + | 0.463884i | −0.873095 | − | 0.487551i | \(-0.837890\pi\) |
0.307850 | + | 0.951435i | \(0.400390\pi\) | |||||||
\(332\) | −4.73370 | − | 2.08212i | −0.259795 | − | 0.114271i | ||||
\(333\) | 10.3450 | − | 5.52950i | 0.566900 | − | 0.303015i | ||||
\(334\) | −2.82299 | + | 1.65070i | −0.154467 | + | 0.0903223i | ||||
\(335\) | −11.5801 | − | 4.79664i | −0.632689 | − | 0.262068i | ||||
\(336\) | 6.24134 | + | 2.19300i | 0.340493 | + | 0.119638i | ||||
\(337\) | −32.0205 | + | 13.2633i | −1.74427 | + | 0.722499i | −0.745857 | + | 0.666106i | \(0.767960\pi\) |
−0.998409 | + | 0.0563925i | \(0.982040\pi\) | |||||||
\(338\) | 3.82518 | − | 5.04247i | 0.208062 | − | 0.274274i | ||||
\(339\) | −16.2841 | − | 4.93973i | −0.884431 | − | 0.268289i | ||||
\(340\) | 2.21821 | − | 10.0120i | 0.120299 | − | 0.542978i | ||||
\(341\) | −2.80873 | + | 28.5176i | −0.152102 | + | 1.54431i | ||||
\(342\) | −0.0497064 | + | 0.311767i | −0.00268782 | + | 0.0168584i | ||||
\(343\) | −10.3504 | + | 15.4905i | −0.558870 | + | 0.836408i | ||||
\(344\) | −4.11382 | + | 14.4168i | −0.221803 | + | 0.777301i | ||||
\(345\) | −4.79065 | + | 3.20101i | −0.257920 | + | 0.172337i | ||||
\(346\) | 13.9816 | + | 5.17437i | 0.751657 | + | 0.278176i | ||||
\(347\) | 13.1383 | − | 3.98547i | 0.705302 | − | 0.213951i | 0.0827966 | − | 0.996566i | \(-0.473615\pi\) |
0.622506 | + | 0.782615i | \(0.286115\pi\) | |||||||
\(348\) | −6.65246 | + | 7.75680i | −0.356609 | + | 0.415808i | ||||
\(349\) | 19.1243 | − | 23.3030i | 1.02370 | − | 1.24738i | 0.0551701 | − | 0.998477i | \(-0.482430\pi\) |
0.968528 | − | 0.248903i | \(-0.0800701\pi\) | |||||||
\(350\) | 7.51374 | − | 2.59692i | 0.401626 | − | 0.138811i | ||||
\(351\) | 2.06453 | − | 2.06453i | 0.110197 | − | 0.110197i | ||||
\(352\) | 7.39530 | + | 18.1157i | 0.394171 | + | 0.965571i | ||||
\(353\) | −20.8702 | − | 20.8702i | −1.11081 | − | 1.11081i | −0.993042 | − | 0.117765i | \(-0.962427\pi\) |
−0.117765 | − | 0.993042i | \(-0.537573\pi\) | |||||||
\(354\) | −9.45508 | − | 4.59801i | −0.502532 | − | 0.244382i | ||||
\(355\) | −5.74856 | − | 4.71772i | −0.305102 | − | 0.250391i | ||||
\(356\) | 11.9620 | − | 6.06410i | 0.633984 | − | 0.321397i | ||||
\(357\) | −1.94544 | − | 6.41327i | −0.102964 | − | 0.339426i | ||||
\(358\) | −21.6454 | + | 9.95178i | −1.14399 | + | 0.525968i | ||||
\(359\) | −7.25713 | − | 10.8611i | −0.383017 | − | 0.573225i | 0.589001 | − | 0.808132i | \(-0.299521\pi\) |
−0.972018 | + | 0.234907i | \(0.924521\pi\) | |||||||
\(360\) | −3.18377 | − | 1.63456i | −0.167800 | − | 0.0861487i | ||||
\(361\) | 15.7565 | + | 10.5281i | 0.829289 | + | 0.554113i | ||||
\(362\) | −13.2642 | + | 9.61629i | −0.697153 | + | 0.505421i | ||||
\(363\) | 0.960022 | + | 0.0945540i | 0.0503881 | + | 0.00496280i | ||||
\(364\) | 9.51053 | − | 1.67827i | 0.498487 | − | 0.0879651i | ||||
\(365\) | −3.32042 | + | 10.9460i | −0.173799 | + | 0.572938i | ||||
\(366\) | −0.556329 | − | 4.05272i | −0.0290798 | − | 0.211839i | ||||
\(367\) | 0.0242433 | + | 0.0585285i | 0.00126549 | + | 0.00305517i | 0.924511 | − | 0.381155i | \(-0.124474\pi\) |
−0.923246 | + | 0.384210i | \(0.874474\pi\) | |||||||
\(368\) | −12.3089 | − | 13.4256i | −0.641645 | − | 0.699858i | ||||
\(369\) | −1.41166 | + | 3.40804i | −0.0734879 | + | 0.177416i | ||||
\(370\) | −20.3045 | − | 5.32060i | −1.05558 | − | 0.276605i | ||||
\(371\) | −2.51719 | − | 4.70933i | −0.130686 | − | 0.244496i | ||||
\(372\) | 11.9671 | − | 11.4591i | 0.620466 | − | 0.594125i | ||||
\(373\) | 6.36888 | + | 7.76050i | 0.329768 | + | 0.401824i | 0.911329 | − | 0.411680i | \(-0.135058\pi\) |
−0.581561 | + | 0.813503i | \(0.697558\pi\) | |||||||
\(374\) | 10.3747 | − | 16.8910i | 0.536461 | − | 0.873415i | ||||
\(375\) | −10.4232 | + | 2.07329i | −0.538249 | + | 0.107064i | ||||
\(376\) | −7.04289 | + | 1.52259i | −0.363210 | + | 0.0785216i | ||||
\(377\) | −2.91032 | + | 14.6312i | −0.149889 | + | 0.753544i | ||||
\(378\) | −2.33719 | + | 0.0894307i | −0.120212 | + | 0.00459982i | ||||
\(379\) | −14.9318 | − | 7.98124i | −0.766998 | − | 0.409969i | 0.0409966 | − | 0.999159i | \(-0.486947\pi\) |
−0.807994 | + | 0.589191i | \(0.799447\pi\) | |||||||
\(380\) | 0.444365 | − | 0.348835i | 0.0227954 | − | 0.0178949i | ||||
\(381\) | −1.25904 | − | 12.7832i | −0.0645026 | − | 0.654905i | ||||
\(382\) | −1.39324 | + | 23.2203i | −0.0712846 | + | 1.18806i | ||||
\(383\) | −22.3931 | −1.14423 | −0.572117 | − | 0.820172i | \(-0.693878\pi\) | ||||
−0.572117 | + | 0.820172i | \(0.693878\pi\) | |||||||
\(384\) | 3.57319 | − | 10.7346i | 0.182344 | − | 0.547799i | ||||
\(385\) | −7.23845 | −0.368906 | ||||||||
\(386\) | −0.806783 | + | 13.4462i | −0.0410642 | + | 0.684391i | ||||
\(387\) | −0.519546 | − | 5.27504i | −0.0264100 | − | 0.268145i | ||||
\(388\) | −14.8321 | − | 18.8939i | −0.752984 | − | 0.959190i | ||||
\(389\) | −9.57962 | − | 5.12041i | −0.485706 | − | 0.259615i | 0.210319 | − | 0.977633i | \(-0.432550\pi\) |
−0.696025 | + | 0.718018i | \(0.745050\pi\) | |||||||
\(390\) | −5.22075 | + | 0.199768i | −0.264363 | + | 0.0101157i | ||||
\(391\) | −3.59984 | + | 18.0976i | −0.182052 | + | 0.915236i | ||||
\(392\) | 10.1393 | + | 6.53460i | 0.512112 | + | 0.330047i | ||||
\(393\) | −10.2495 | + | 2.03876i | −0.517021 | + | 0.102842i | ||||
\(394\) | −1.77043 | + | 2.88244i | −0.0891929 | + | 0.145215i | ||||
\(395\) | −2.76892 | − | 3.37393i | −0.139319 | − | 0.169761i | ||||
\(396\) | −4.78455 | − | 4.99667i | −0.240433 | − | 0.251092i | ||||
\(397\) | 8.11460 | + | 15.1814i | 0.407260 | + | 0.761930i | 0.999024 | − | 0.0441815i | \(-0.0140680\pi\) |
−0.591763 | + | 0.806112i | \(0.701568\pi\) | |||||||
\(398\) | 2.01844 | + | 0.528913i | 0.101175 | + | 0.0265120i | ||||
\(399\) | 0.141287 | − | 0.341097i | 0.00707319 | − | 0.0170762i | ||||
\(400\) | −4.65347 | − | 12.7747i | −0.232674 | − | 0.638737i | ||||
\(401\) | −9.72203 | − | 23.4711i | −0.485495 | − | 1.17209i | −0.956964 | − | 0.290206i | \(-0.906276\pi\) |
0.471469 | − | 0.881882i | \(-0.343724\pi\) | |||||||
\(402\) | 1.90522 | + | 13.8791i | 0.0950237 | + | 0.692224i | ||||
\(403\) | 7.02133 | − | 23.1462i | 0.349757 | − | 1.15300i | ||||
\(404\) | −0.382251 | − | 2.16617i | −0.0190177 | − | 0.107771i | ||||
\(405\) | 1.25922 | + | 0.124023i | 0.0625713 | + | 0.00616273i | ||||
\(406\) | 9.67521 | − | 7.01432i | 0.480172 | − | 0.348115i | ||||
\(407\) | −33.7362 | − | 22.5418i | −1.67224 | − | 1.11735i | ||||
\(408\) | −10.9114 | + | 3.50830i | −0.540195 | + | 0.173687i | ||||
\(409\) | 4.94278 | + | 7.39739i | 0.244405 | + | 0.365777i | 0.933309 | − | 0.359075i | \(-0.116908\pi\) |
−0.688904 | + | 0.724853i | \(0.741908\pi\) | |||||||
\(410\) | 5.99739 | − | 2.75739i | 0.296190 | − | 0.136178i | ||||
\(411\) | −5.78007 | − | 19.0543i | −0.285110 | − | 0.939881i | ||||
\(412\) | 17.5660 | + | 34.6505i | 0.865415 | + | 1.70711i | ||||
\(413\) | 9.50445 | + | 7.80010i | 0.467684 | + | 0.383818i | ||||
\(414\) | 5.79121 | + | 2.81627i | 0.284622 | + | 0.138412i | ||||
\(415\) | −2.31345 | − | 2.31345i | −0.113563 | − | 0.113563i | ||||
\(416\) | −3.13916 | − | 16.2152i | −0.153910 | − | 0.795016i | ||||
\(417\) | −0.204174 | + | 0.204174i | −0.00999842 | + | 0.00999842i | ||||
\(418\) | 1.03211 | − | 0.356722i | 0.0504824 | − | 0.0174478i | ||||
\(419\) | −22.8993 | + | 27.9029i | −1.11870 | + | 1.36315i | −0.194656 | + | 0.980872i | \(0.562359\pi\) |
−0.924049 | + | 0.382274i | \(0.875141\pi\) | |||||||
\(420\) | 3.17694 | + | 2.72464i | 0.155019 | + | 0.132949i | ||||
\(421\) | −20.4745 | + | 6.21087i | −0.997867 | + | 0.302700i | −0.746640 | − | 0.665229i | \(-0.768334\pi\) |
−0.251227 | + | 0.967928i | \(0.580834\pi\) | |||||||
\(422\) | 27.2136 | + | 10.0713i | 1.32474 | + | 0.490264i | ||||
\(423\) | 2.11822 | − | 1.41535i | 0.102991 | − | 0.0688167i | ||||
\(424\) | −7.98153 | + | 4.43771i | −0.387617 | + | 0.215514i | ||||
\(425\) | −7.65218 | + | 11.4523i | −0.371185 | + | 0.555518i | ||||
\(426\) | −1.30864 | + | 8.20803i | −0.0634040 | + | 0.397680i | ||||
\(427\) | −0.468904 | + | 4.76086i | −0.0226918 | + | 0.230394i | ||||
\(428\) | −14.9070 | − | 3.30273i | −0.720559 | − | 0.159644i | ||||
\(429\) | −9.66434 | − | 2.93164i | −0.466599 | − | 0.141541i | ||||
\(430\) | −5.73245 | + | 7.55669i | −0.276443 | + | 0.364416i | ||||
\(431\) | 19.0851 | − | 7.90530i | 0.919297 | − | 0.380785i | 0.127689 | − | 0.991814i | \(-0.459244\pi\) |
0.791608 | + | 0.611029i | \(0.209244\pi\) | |||||||
\(432\) | 0.219121 | + | 3.99399i | 0.0105424 | + | 0.192161i | ||||
\(433\) | −12.4506 | − | 5.15720i | −0.598337 | − | 0.247839i | 0.0628960 | − | 0.998020i | \(-0.479966\pi\) |
−0.661233 | + | 0.750181i | \(0.729966\pi\) | |||||||
\(434\) | −16.7266 | + | 9.78062i | −0.802902 | + | 0.469485i | ||||
\(435\) | −5.70160 | + | 3.04757i | −0.273371 | + | 0.146120i | ||||
\(436\) | −7.70957 | + | 17.5276i | −0.369221 | + | 0.839422i | ||||
\(437\) | −0.785779 | + | 0.644872i | −0.0375889 | + | 0.0308484i | ||||
\(438\) | 12.4344 | − | 2.97176i | 0.594137 | − | 0.141996i | ||||
\(439\) | −0.708069 | − | 3.55971i | −0.0337943 | − | 0.169895i | 0.960202 | − | 0.279305i | \(-0.0901040\pi\) |
−0.993997 | + | 0.109409i | \(0.965104\pi\) | |||||||
\(440\) | 0.205015 | + | 12.3775i | 0.00977373 | + | 0.590076i | ||||
\(441\) | −4.18283 | − | 0.832016i | −0.199182 | − | 0.0396198i | ||||
\(442\) | −11.3703 | + | 12.2751i | −0.540831 | + | 0.583867i | ||||
\(443\) | −1.91485 | + | 3.58243i | −0.0909772 | + | 0.170206i | −0.923294 | − | 0.384094i | \(-0.874514\pi\) |
0.832317 | + | 0.554300i | \(0.187014\pi\) | |||||||
\(444\) | 6.32174 | + | 22.5922i | 0.300016 | + | 1.07218i | ||||
\(445\) | 8.44389 | − | 0.831651i | 0.400279 | − | 0.0394240i | ||||
\(446\) | 1.34495 | − | 1.19269i | 0.0636851 | − | 0.0564754i | ||||
\(447\) | 3.90650i | 0.184771i | ||||||||
\(448\) | −6.98228 | + | 11.2384i | −0.329882 | + | 0.530965i | ||||
\(449\) | 30.7144i | 1.44950i | 0.689010 | + | 0.724752i | \(0.258046\pi\) | ||||
−0.689010 | + | 0.724752i | \(0.741954\pi\) | |||||||
\(450\) | 3.18930 | + | 3.59645i | 0.150345 | + | 0.169538i | ||||
\(451\) | 12.6982 | − | 1.25067i | 0.597937 | − | 0.0588916i | ||||
\(452\) | 16.6904 | − | 29.6601i | 0.785049 | − | 1.39509i | ||||
\(453\) | 3.42604 | − | 6.40967i | 0.160969 | − | 0.301152i | ||||
\(454\) | −18.9826 | − | 17.5834i | −0.890897 | − | 0.825230i | ||||
\(455\) | 5.99247 | + | 1.19198i | 0.280932 | + | 0.0558808i | ||||
\(456\) | −0.587268 | − | 0.231936i | −0.0275013 | − | 0.0108614i | ||||
\(457\) | −5.80102 | − | 29.1637i | −0.271360 | − | 1.36422i | −0.840425 | − | 0.541927i | \(-0.817695\pi\) |
0.569065 | − | 0.822292i | \(-0.307305\pi\) | |||||||
\(458\) | −4.94487 | − | 20.6902i | −0.231059 | − | 0.966790i | ||||
\(459\) | 3.13245 | − | 2.57073i | 0.146210 | − | 0.119991i | ||||
\(460\) | −4.17792 | − | 10.7393i | −0.194797 | − | 0.500721i | ||||
\(461\) | 9.09765 | − | 4.86280i | 0.423720 | − | 0.226483i | −0.245733 | − | 0.969338i | \(-0.579029\pi\) |
0.669453 | + | 0.742855i | \(0.266529\pi\) | |||||||
\(462\) | 4.08374 | + | 6.98392i | 0.189993 | + | 0.324921i | ||||
\(463\) | −28.6354 | − | 11.8612i | −1.33080 | − | 0.551236i | −0.399917 | − | 0.916551i | \(-0.630961\pi\) |
−0.930884 | + | 0.365315i | \(0.880961\pi\) | |||||||
\(464\) | −12.2683 | − | 16.3457i | −0.569542 | − | 0.758828i | ||||
\(465\) | 9.68440 | − | 4.01141i | 0.449103 | − | 0.186025i | ||||
\(466\) | 16.2506 | + | 12.3276i | 0.752795 | + | 0.571065i | ||||
\(467\) | 34.1423 | + | 10.3570i | 1.57992 | + | 0.479263i | 0.953794 | − | 0.300460i | \(-0.0971403\pi\) |
0.626124 | + | 0.779723i | \(0.284640\pi\) | |||||||
\(468\) | 3.13815 | + | 4.92447i | 0.145061 | + | 0.227634i | ||||
\(469\) | 1.60582 | − | 16.3042i | 0.0741499 | − | 0.752857i | ||||
\(470\) | −4.50182 | − | 0.717746i | −0.207653 | − | 0.0331072i | ||||
\(471\) | 8.53318 | − | 12.7708i | 0.393188 | − | 0.588448i | ||||
\(472\) | 13.0688 | − | 16.4733i | 0.601539 | − | 0.758244i | ||||
\(473\) | −15.2447 | + | 10.1862i | −0.700951 | + | 0.468361i | ||||
\(474\) | −1.69315 | + | 4.57503i | −0.0777687 | + | 0.210138i | ||||
\(475\) | −0.726104 | + | 0.220261i | −0.0333159 | + | 0.0101063i | ||||
\(476\) | 13.3645 | − | 1.02427i | 0.612561 | − | 0.0469471i | ||||
\(477\) | 2.04829 | − | 2.49585i | 0.0937848 | − | 0.114277i | ||||
\(478\) | −7.48746 | − | 21.6637i | −0.342468 | − | 0.990873i | ||||
\(479\) | 16.1665 | − | 16.1665i | 0.738668 | − | 0.738668i | −0.233653 | − | 0.972320i | \(-0.575068\pi\) |
0.972320 | + | 0.233653i | \(0.0750678\pi\) | |||||||
\(480\) | 4.56908 | − | 5.50965i | 0.208549 | − | 0.251480i | ||||
\(481\) | 24.2170 | + | 24.2170i | 1.10420 | + | 1.10420i | ||||
\(482\) | 3.33427 | − | 6.85640i | 0.151872 | − | 0.312300i | ||||
\(483\) | −5.82145 | − | 4.77754i | −0.264885 | − | 0.217386i | ||||
\(484\) | −0.599955 | + | 1.83368i | −0.0272707 | + | 0.0833492i | ||||
\(485\) | −4.41132 | − | 14.5422i | −0.200308 | − | 0.660326i | ||||
\(486\) | −0.590758 | − | 1.28491i | −0.0267973 | − | 0.0582849i | ||||
\(487\) | 21.8231 | + | 32.6606i | 0.988901 | + | 1.47999i | 0.873589 | + | 0.486665i | \(0.161787\pi\) |
0.115312 | + | 0.993329i | \(0.463213\pi\) | |||||||
\(488\) | 8.15422 | + | 0.666970i | 0.369124 | + | 0.0301923i | ||||
\(489\) | −5.81044 | − | 3.88241i | −0.262757 | − | 0.175569i | ||||
\(490\) | 4.47936 | + | 6.17861i | 0.202357 | + | 0.279121i | ||||
\(491\) | −15.5222 | − | 1.52880i | −0.700507 | − | 0.0689939i | −0.258508 | − | 0.966009i | \(-0.583231\pi\) |
−0.441999 | + | 0.897015i | \(0.645731\pi\) | |||||||
\(492\) | −6.04400 | − | 4.23086i | −0.272485 | − | 0.190742i | ||||
\(493\) | −6.01022 | + | 19.8131i | −0.270687 | + | 0.892335i | ||||
\(494\) | −0.913196 | + | 0.125357i | −0.0410866 | + | 0.00564008i | ||||
\(495\) | −1.67490 | − | 4.04357i | −0.0752812 | − | 0.181745i | ||||
\(496\) | 17.1983 | + | 28.3250i | 0.772228 | + | 1.27183i | ||||
\(497\) | 3.71972 | − | 8.98021i | 0.166852 | − | 0.402817i | ||||
\(498\) | −0.926913 | + | 3.53729i | −0.0415360 | + | 0.158510i | ||||
\(499\) | 13.3816 | + | 25.0351i | 0.599041 | + | 1.12073i | 0.980533 | + | 0.196354i | \(0.0629103\pi\) |
−0.381492 | + | 0.924372i | \(0.624590\pi\) | |||||||
\(500\) | 0.460843 | − | 21.2497i | 0.0206095 | − | 0.950316i | ||||
\(501\) | 1.46695 | + | 1.78748i | 0.0655385 | + | 0.0798589i | ||||
\(502\) | 37.9163 | + | 23.2886i | 1.69229 | + | 1.03942i | ||||
\(503\) | −36.7559 | + | 7.31120i | −1.63886 | + | 0.325990i | −0.926636 | − | 0.375959i | \(-0.877313\pi\) |
−0.712227 | + | 0.701949i | \(0.752313\pi\) | |||||||
\(504\) | 0.836486 | − | 4.60240i | 0.0372601 | − | 0.205007i | ||||
\(505\) | 0.271491 | − | 1.36488i | 0.0120812 | − | 0.0607362i | ||||
\(506\) | −0.851706 | − | 22.2585i | −0.0378630 | − | 0.989513i | ||||
\(507\) | −3.94696 | − | 2.10969i | −0.175290 | − | 0.0936947i | ||||
\(508\) | 25.5059 | + | 3.07182i | 1.13164 | + | 0.136290i | ||||
\(509\) | −1.07355 | − | 10.9000i | −0.0475845 | − | 0.483133i | −0.989213 | − | 0.146481i | \(-0.953205\pi\) |
0.941629 | − | 0.336652i | \(-0.109295\pi\) | |||||||
\(510\) | −7.23822 | − | 0.434301i | −0.320514 | − | 0.0192312i | ||||
\(511\) | −14.9509 | −0.661388 | ||||||||
\(512\) | 19.4151 | + | 11.6212i | 0.858036 | + | 0.513589i | ||||
\(513\) | 0.223237 | 0.00985615 | ||||||||
\(514\) | 32.8254 | + | 1.96956i | 1.44787 | + | 0.0868735i | ||||
\(515\) | 2.40906 | + | 24.4596i | 0.106156 | + | 1.07782i | ||||
\(516\) | 10.5251 | + | 1.26759i | 0.463340 | + | 0.0558027i | ||||
\(517\) | −7.77151 | − | 4.15396i | −0.341790 | − | 0.182691i | ||||
\(518\) | −1.04902 | − | 27.4153i | −0.0460915 | − | 1.20456i | ||||
\(519\) | 2.05661 | − | 10.3393i | 0.0902750 | − | 0.453843i | ||||
\(520\) | 1.86852 | − | 10.2807i | 0.0819401 | − | 0.450839i | ||||
\(521\) | 14.6877 | − | 2.92156i | 0.643479 | − | 0.127996i | 0.137445 | − | 0.990509i | \(-0.456111\pi\) |
0.506034 | + | 0.862513i | \(0.331111\pi\) | |||||||
\(522\) | 6.15710 | + | 3.78176i | 0.269489 | + | 0.165523i | ||||
\(523\) | 23.0637 | + | 28.1032i | 1.00850 | + | 1.22887i | 0.973312 | + | 0.229484i | \(0.0737040\pi\) |
0.0351912 | + | 0.999381i | \(0.488796\pi\) | |||||||
\(524\) | 0.453167 | − | 20.8958i | 0.0197967 | − | 0.912837i | ||||
\(525\) | −2.64991 | − | 4.95763i | −0.115652 | − | 0.216369i | ||||
\(526\) | 2.52474 | − | 9.63490i | 0.110084 | − | 0.420102i | ||||
\(527\) | 12.8468 | − | 31.0150i | 0.559617 | − | 1.35104i | ||||
\(528\) | 11.8266 | − | 7.18089i | 0.514689 | − | 0.312508i | ||||
\(529\) | −0.866884 | − | 2.09284i | −0.0376906 | − | 0.0909932i | ||||
\(530\) | −5.72391 | + | 0.785739i | −0.248631 | + | 0.0341303i | ||||
\(531\) | −2.15809 | + | 7.11427i | −0.0936531 | + | 0.308733i | ||||
\(532\) | 0.604919 | + | 0.423449i | 0.0262266 | + | 0.0183588i | ||||
\(533\) | −10.7184 | − | 1.05567i | −0.464266 | − | 0.0457262i | ||||
\(534\) | −5.56623 | − | 7.67778i | −0.240874 | − | 0.332250i | ||||
\(535\) | −8.03179 | − | 5.36667i | −0.347245 | − | 0.232022i | ||||
\(536\) | −27.9252 | − | 2.28412i | −1.20618 | − | 0.0986591i | ||||
\(537\) | 9.35901 | + | 14.0068i | 0.403871 | + | 0.604436i | ||||
\(538\) | 15.0199 | + | 32.6687i | 0.647556 | + | 1.40845i | ||||
\(539\) | 4.28224 | + | 14.1166i | 0.184449 | + | 0.608047i | ||||
\(540\) | −0.786937 | + | 2.40517i | −0.0338644 | + | 0.103502i | ||||
\(541\) | 27.8725 | + | 22.8744i | 1.19833 | + | 0.983446i | 0.999995 | + | 0.00331236i | \(0.00105436\pi\) |
0.198338 | + | 0.980134i | \(0.436446\pi\) | |||||||
\(542\) | 18.2678 | − | 37.5648i | 0.784670 | − | 1.61355i | ||||
\(543\) | 8.19166 | + | 8.19166i | 0.351538 | + | 0.351538i | ||||
\(544\) | −2.12999 | − | 22.8239i | −0.0913225 | − | 0.978567i | ||||
\(545\) | −8.56610 | + | 8.56610i | −0.366931 | + | 0.366931i | ||||
\(546\) | −2.23073 | − | 6.45424i | −0.0954665 | − | 0.276216i | ||||
\(547\) | 12.9121 | − | 15.7335i | 0.552082 | − | 0.672714i | −0.419954 | − | 0.907545i | \(-0.637954\pi\) |
0.972036 | + | 0.234831i | \(0.0754538\pi\) | |||||||
\(548\) | 39.7070 | − | 3.04317i | 1.69620 | − | 0.129998i | ||||
\(549\) | −2.76803 | + | 0.839671i | −0.118136 | + | 0.0358363i | ||||
\(550\) | 5.77086 | − | 15.5934i | 0.246070 | − | 0.664904i | ||||
\(551\) | −0.948376 | + | 0.633684i | −0.0404022 | + | 0.0269959i | ||||
\(552\) | −8.00457 | + | 10.0898i | −0.340697 | + | 0.429451i | ||||
\(553\) | 3.16948 | − | 4.74346i | 0.134780 | − | 0.201712i | ||||
\(554\) | −31.8607 | − | 5.07970i | −1.35363 | − | 0.215816i | ||||
\(555\) | −1.45479 | + | 14.7707i | −0.0617523 | + | 0.626982i | ||||
\(556\) | −0.310350 | − | 0.487009i | −0.0131618 | − | 0.0206538i | ||||
\(557\) | −7.41891 | − | 2.25050i | −0.314349 | − | 0.0953568i | 0.129168 | − | 0.991623i | \(-0.458769\pi\) |
−0.443517 | + | 0.896266i | \(0.646269\pi\) | |||||||
\(558\) | −9.33403 | − | 7.08073i | −0.395141 | − | 0.299751i | ||||
\(559\) | 14.2980 | − | 5.92241i | 0.604739 | − | 0.250491i | ||||
\(560\) | −6.69468 | + | 5.02472i | −0.282902 | + | 0.212333i | ||||
\(561\) | −12.9498 | − | 5.36399i | −0.546742 | − | 0.226468i | ||||
\(562\) | 15.3630 | + | 26.2734i | 0.648048 | + | 1.10828i | ||||
\(563\) | 25.4595 | − | 13.6084i | 1.07299 | − | 0.573526i | 0.162354 | − | 0.986733i | \(-0.448091\pi\) |
0.910637 | + | 0.413207i | \(0.135591\pi\) | |||||||
\(564\) | 1.84730 | + | 4.74845i | 0.0777853 | + | 0.199946i | ||||
\(565\) | 16.6442 | − | 13.6595i | 0.700227 | − | 0.574662i | ||||
\(566\) | −2.78100 | − | 11.6362i | −0.116894 | − | 0.489106i | ||||
\(567\) | 0.322650 | + | 1.62207i | 0.0135500 | + | 0.0681207i | ||||
\(568\) | −15.4613 | − | 6.10628i | −0.648740 | − | 0.256214i | ||||
\(569\) | −10.7368 | − | 2.13568i | −0.450110 | − | 0.0895324i | −0.0351701 | − | 0.999381i | \(-0.511197\pi\) |
−0.414940 | + | 0.909849i | \(0.636197\pi\) | |||||||
\(570\) | −0.293059 | − | 0.271458i | −0.0122749 | − | 0.0113701i | ||||
\(571\) | −7.17860 | + | 13.4302i | −0.300415 | + | 0.562037i | −0.986158 | − | 0.165807i | \(-0.946977\pi\) |
0.685743 | + | 0.727843i | \(0.259477\pi\) | |||||||
\(572\) | 9.90545 | − | 17.6028i | 0.414168 | − | 0.736009i | ||||
\(573\) | 16.3696 | − | 1.61226i | 0.683849 | − | 0.0673533i | ||||
\(574\) | 5.72444 | + | 6.45523i | 0.238934 | + | 0.269436i | ||||
\(575\) | 15.4774i | 0.645451i | ||||||||
\(576\) | −7.89367 | − | 1.30001i | −0.328903 | − | 0.0541673i | ||||
\(577\) | 20.4928i | 0.853126i | 0.904458 | + | 0.426563i | \(0.140276\pi\) | ||||
−0.904458 | + | 0.426563i | \(0.859724\pi\) | |||||||
\(578\) | 0.612768 | − | 0.543397i | 0.0254878 | − | 0.0226023i | ||||
\(579\) | 9.47910 | − | 0.933610i | 0.393938 | − | 0.0387995i | ||||
\(580\) | −3.48421 | − | 12.4517i | −0.144674 | − | 0.517028i | ||||
\(581\) | 2.01585 | − | 3.77140i | 0.0836317 | − | 0.156464i | ||||
\(582\) | −11.5421 | + | 12.4605i | −0.478434 | + | 0.516505i | ||||
\(583\) | −10.9536 | − | 2.17881i | −0.453652 | − | 0.0902370i | ||||
\(584\) | 0.423456 | + | 25.5656i | 0.0175227 | + | 1.05791i | ||||
\(585\) | 0.720728 | + | 3.62334i | 0.0297984 | + | 0.149807i | ||||
\(586\) | −37.3354 | + | 8.92301i | −1.54231 | + | 0.368606i | ||||
\(587\) | 19.7249 | − | 16.1878i | 0.814134 | − | 0.668143i | −0.132239 | − | 0.991218i | \(-0.542217\pi\) |
0.946373 | + | 0.323075i | \(0.104717\pi\) | |||||||
\(588\) | 3.43421 | − | 7.80765i | 0.141624 | − | 0.321982i | ||||
\(589\) | 1.63100 | − | 0.871788i | 0.0672042 | − | 0.0359214i | ||||
\(590\) | 11.4841 | − | 6.71515i | 0.472793 | − | 0.276458i | ||||
\(591\) | 2.20988 | + | 0.915361i | 0.0909022 | + | 0.0376529i | ||||
\(592\) | −46.8496 | + | 2.57029i | −1.92551 | + | 0.105638i | ||||
\(593\) | 24.3845 | − | 10.1004i | 1.00135 | − | 0.414774i | 0.179060 | − | 0.983838i | \(-0.442695\pi\) |
0.822293 | + | 0.569064i | \(0.192695\pi\) | |||||||
\(594\) | −2.95645 | + | 3.89728i | −0.121304 | + | 0.159907i | ||||
\(595\) | 8.11481 | + | 2.46160i | 0.332675 | + | 0.100916i | ||||
\(596\) | −7.62802 | − | 1.69003i | −0.312456 | − | 0.0692262i | ||||
\(597\) | 0.144618 | − | 1.46834i | 0.00591884 | − | 0.0600950i | ||||
\(598\) | −2.96028 | + | 18.5674i | −0.121055 | + | 0.759276i | ||||
\(599\) | 11.8047 | − | 17.6669i | 0.482325 | − | 0.721851i | −0.507886 | − | 0.861424i | \(-0.669573\pi\) |
0.990212 | + | 0.139573i | \(0.0445730\pi\) | |||||||
\(600\) | −8.40236 | + | 4.67169i | −0.343025 | + | 0.190721i | ||||
\(601\) | 33.8025 | − | 22.5861i | 1.37883 | − | 0.921306i | 0.378841 | − | 0.925462i | \(-0.376323\pi\) |
0.999991 | + | 0.00415558i | \(0.00132277\pi\) | |||||||
\(602\) | −11.6268 | − | 4.30289i | −0.473873 | − | 0.175373i | ||||
\(603\) | 9.47946 | − | 2.87556i | 0.386033 | − | 0.117102i | ||||
\(604\) | 11.0337 | + | 9.46280i | 0.448953 | + | 0.385036i | ||||
\(605\) | −0.774346 | + | 0.943544i | −0.0314816 | + | 0.0383605i | ||||
\(606\) | −1.47005 | + | 0.508083i | −0.0597168 | + | 0.0206395i | ||||
\(607\) | 5.55278 | − | 5.55278i | 0.225380 | − | 0.225380i | −0.585379 | − | 0.810760i | \(-0.699054\pi\) |
0.810760 | + | 0.585379i | \(0.199054\pi\) | |||||||
\(608\) | 0.706953 | − | 1.04639i | 0.0286707 | − | 0.0424366i | ||||
\(609\) | −5.97516 | − | 5.97516i | −0.242126 | − | 0.242126i | ||||
\(610\) | 4.65483 | + | 2.26365i | 0.188469 | + | 0.0916525i | ||||
\(611\) | 5.74973 | + | 4.71868i | 0.232609 | + | 0.190897i | ||||
\(612\) | 3.66458 | + | 7.22872i | 0.148132 | + | 0.292204i | ||||
\(613\) | −5.17235 | − | 17.0509i | −0.208909 | − | 0.688681i | −0.997295 | − | 0.0735005i | \(-0.976583\pi\) |
0.788386 | − | 0.615181i | \(-0.210917\pi\) | |||||||
\(614\) | −8.76754 | + | 4.03101i | −0.353829 | + | 0.162678i | ||||
\(615\) | −2.59315 | − | 3.88092i | −0.104566 | − | 0.156494i | ||||
\(616\) | −15.4039 | + | 4.95274i | −0.620639 | + | 0.199551i | ||||
\(617\) | 12.1974 | + | 8.15004i | 0.491049 | + | 0.328108i | 0.776321 | − | 0.630338i | \(-0.217084\pi\) |
−0.285272 | + | 0.958447i | \(0.592084\pi\) | |||||||
\(618\) | 22.2404 | − | 16.1238i | 0.894640 | − | 0.648595i | ||||
\(619\) | −38.7265 | − | 3.81422i | −1.55655 | − | 0.153307i | −0.717187 | − | 0.696881i | \(-0.754571\pi\) |
−0.839361 | + | 0.543574i | \(0.817071\pi\) | |||||||
\(620\) | 3.64322 | + | 20.6456i | 0.146315 | + | 0.829149i | ||||
\(621\) | 1.32182 | − | 4.35747i | 0.0530429 | − | 0.174859i | ||||
\(622\) | 3.41529 | + | 24.8795i | 0.136941 | + | 0.997578i | ||||
\(623\) | 4.24401 | + | 10.2459i | 0.170033 | + | 0.410495i | ||||
\(624\) | −10.9734 | + | 3.99729i | −0.439287 | + | 0.160020i | ||||
\(625\) | −1.35773 | + | 3.27785i | −0.0543092 | + | 0.131114i | ||||
\(626\) | −18.5447 | − | 4.85946i | −0.741194 | − | 0.194223i | ||||
\(627\) | −0.364001 | − | 0.680998i | −0.0145368 | − | 0.0271964i | ||||
\(628\) | 21.2453 | + | 22.1872i | 0.847780 | + | 0.885366i | ||||
\(629\) | 30.1547 | + | 36.7437i | 1.20235 | + | 1.46507i | ||||
\(630\) | 1.54889 | − | 2.52176i | 0.0617093 | − | 0.100469i | ||||
\(631\) | −41.2322 | + | 8.20159i | −1.64143 | + | 0.326500i | −0.927529 | − | 0.373750i | \(-0.878072\pi\) |
−0.713897 | + | 0.700250i | \(0.753072\pi\) | |||||||
\(632\) | −8.20095 | − | 5.28537i | −0.326216 | − | 0.210241i | ||||
\(633\) | 4.00295 | − | 20.1242i | 0.159103 | − | 0.799864i | ||||
\(634\) | −1.96021 | + | 0.0750058i | −0.0778497 | + | 0.00297886i | ||||
\(635\) | 14.3340 | + | 7.66166i | 0.568826 | + | 0.304044i | ||||
\(636\) | 3.98739 | + | 5.07935i | 0.158110 | + | 0.201409i | ||||
\(637\) | −1.22049 | − | 12.3919i | −0.0483577 | − | 0.490984i | ||||
\(638\) | 1.49697 | − | 24.9490i | 0.0592655 | − | 0.987741i | ||||
\(639\) | 5.87726 | 0.232501 | ||||||||
\(640\) | 8.78175 | + | 11.3054i | 0.347129 | + | 0.446885i | ||||
\(641\) | 21.6962 | 0.856950 | 0.428475 | − | 0.903554i | \(-0.359051\pi\) | ||||
0.428475 | + | 0.903554i | \(0.359051\pi\) | |||||||
\(642\) | −0.646637 | + | 10.7771i | −0.0255207 | + | 0.425338i | ||||
\(643\) | −3.33123 | − | 33.8225i | −0.131371 | − | 1.33383i | −0.804345 | − | 0.594163i | \(-0.797483\pi\) |
0.672974 | − | 0.739666i | \(-0.265017\pi\) | |||||||
\(644\) | 11.8473 | − | 9.30039i | 0.466850 | − | 0.366487i | ||||
\(645\) | 5.91494 | + | 3.16160i | 0.232901 | + | 0.124488i | ||||
\(646\) | −1.27838 | + | 0.0489164i | −0.0502973 | + | 0.00192459i | ||||
\(647\) | 1.24790 | − | 6.27364i | 0.0490602 | − | 0.246642i | −0.948471 | − | 0.316863i | \(-0.897370\pi\) |
0.997531 | + | 0.0702209i | \(0.0223704\pi\) | |||||||
\(648\) | 2.76456 | − | 0.597665i | 0.108602 | − | 0.0234785i | ||||
\(649\) | 25.2214 | − | 5.01685i | 0.990027 | − | 0.196929i | ||||
\(650\) | −7.34531 | + | 11.9589i | −0.288107 | + | 0.469068i | ||||
\(651\) | 8.69187 | + | 10.5911i | 0.340661 | + | 0.415097i | ||||
\(652\) | 10.0947 | − | 9.66615i | 0.395339 | − | 0.378556i | ||||
\(653\) | −14.1539 | − | 26.4802i | −0.553886 | − | 1.03625i | −0.990618 | − | 0.136657i | \(-0.956364\pi\) |
0.436732 | − | 0.899592i | \(-0.356136\pi\) | |||||||
\(654\) | 13.0976 | + | 3.43212i | 0.512159 | + | 0.134206i | ||||
\(655\) | 5.06022 | − | 12.2164i | 0.197719 | − | 0.477336i | ||||
\(656\) | 10.8761 | − | 9.97146i | 0.424642 | − | 0.389320i | ||||
\(657\) | −3.45948 | − | 8.35191i | −0.134967 | − | 0.325839i | ||||
\(658\) | −0.810341 | − | 5.90313i | −0.0315904 | − | 0.230128i | ||||
\(659\) | −10.2532 | + | 33.8004i | −0.399409 | + | 1.31668i | 0.494793 | + | 0.869011i | \(0.335244\pi\) |
−0.894202 | + | 0.447664i | \(0.852256\pi\) | |||||||
\(660\) | 8.62026 | − | 1.52117i | 0.335543 | − | 0.0592113i | ||||
\(661\) | 20.7313 | + | 2.04185i | 0.806353 | + | 0.0794189i | 0.492790 | − | 0.870148i | \(-0.335977\pi\) |
0.313563 | + | 0.949567i | \(0.398477\pi\) | |||||||
\(662\) | −15.2321 | + | 11.0430i | −0.592013 | + | 0.429197i | ||||
\(663\) | 9.83742 | + | 6.57316i | 0.382054 | + | 0.255280i | ||||
\(664\) | −6.50608 | − | 3.34024i | −0.252485 | − | 0.129626i | ||||
\(665\) | 0.259537 | + | 0.388425i | 0.0100644 | + | 0.0150625i | ||||
\(666\) | 15.0721 | − | 6.92961i | 0.584031 | − | 0.268517i | ||||
\(667\) | 6.75370 | + | 22.2640i | 0.261504 | + | 0.862064i | ||||
\(668\) | −4.12496 | + | 2.09114i | −0.159599 | + | 0.0809086i | ||||
\(669\) | −0.982573 | − | 0.806377i | −0.0379885 | − | 0.0311763i | ||||
\(670\) | −15.9411 | − | 7.75215i | −0.615857 | − | 0.299492i | ||||
\(671\) | 7.07490 | + | 7.07490i | 0.273124 | + | 0.273124i | ||||
\(672\) | 8.62499 | + | 3.62445i | 0.332716 | + | 0.139816i | ||||
\(673\) | −16.6723 | + | 16.6723i | −0.642669 | + | 0.642669i | −0.951211 | − | 0.308542i | \(-0.900159\pi\) |
0.308542 | + | 0.951211i | \(0.400159\pi\) | |||||||
\(674\) | −46.3259 | + | 16.0113i | −1.78441 | + | 0.616732i | ||||
\(675\) | 2.15629 | − | 2.62744i | 0.0829956 | − | 0.101130i | ||||
\(676\) | 5.82702 | − | 6.79433i | 0.224116 | − | 0.261320i | ||||
\(677\) | 39.1786 | − | 11.8847i | 1.50576 | − | 0.456766i | 0.573696 | − | 0.819069i | \(-0.305509\pi\) |
0.932061 | + | 0.362302i | \(0.118009\pi\) | |||||||
\(678\) | −22.5694 | − | 8.35258i | −0.866774 | − | 0.320779i | ||||
\(679\) | 16.5154 | − | 11.0352i | 0.633802 | − | 0.423493i | ||||
\(680\) | 3.97943 | − | 13.9458i | 0.152604 | − | 0.534798i | ||||
\(681\) | −10.1649 | + | 15.2129i | −0.389521 | + | 0.582959i | ||||
\(682\) | −6.38051 | + | 40.0196i | −0.244322 | + | 1.53243i | ||||
\(683\) | −4.37976 | + | 44.4684i | −0.167587 | + | 1.70154i | 0.432526 | + | 0.901621i | \(0.357622\pi\) |
−0.600113 | + | 0.799915i | \(0.704878\pi\) | |||||||
\(684\) | −0.0965766 | + | 0.435903i | −0.00369270 | + | 0.0166672i | ||||
\(685\) | 24.1098 | + | 7.31361i | 0.921186 | + | 0.279439i | ||||
\(686\) | −15.9235 | + | 20.9908i | −0.607962 | + | 0.801434i | ||||
\(687\) | −13.8972 | + | 5.75641i | −0.530211 | + | 0.219621i | ||||
\(688\) | −7.02851 | + | 20.0034i | −0.267959 | + | 0.762621i | ||||
\(689\) | 8.70934 | + | 3.60753i | 0.331799 | + | 0.137436i | ||||
\(690\) | −7.03397 | + | 4.11301i | −0.267779 | + | 0.156580i | ||||
\(691\) | −26.6975 | + | 14.2701i | −1.01562 | + | 0.542861i | −0.893220 | − | 0.449619i | \(-0.851560\pi\) |
−0.122402 | + | 0.992481i | \(0.539060\pi\) | |||||||
\(692\) | 19.2992 | + | 8.48880i | 0.733646 | + | 0.322696i | ||||
\(693\) | 4.42214 | − | 3.62915i | 0.167983 | − | 0.137860i | ||||
\(694\) | 18.8846 | − | 4.51334i | 0.716850 | − | 0.171324i | ||||
\(695\) | −0.0712770 | − | 0.358334i | −0.00270369 | − | 0.0135924i | ||||
\(696\) | −10.0481 | + | 10.3866i | −0.380873 | + | 0.393703i | ||||
\(697\) | −14.6609 | − | 2.91624i | −0.555323 | − | 0.110461i | ||||
\(698\) | 28.9711 | − | 31.2764i | 1.09657 | − | 1.18383i | ||||
\(699\) | 6.79901 | − | 12.7200i | 0.257162 | − | 0.481116i | ||||
\(700\) | 10.8269 | − | 3.02958i | 0.409219 | − | 0.114507i | ||||
\(701\) | −38.7997 | + | 3.82143i | −1.46544 | + | 0.144334i | −0.799049 | − | 0.601266i | \(-0.794663\pi\) |
−0.666394 | + | 0.745599i | \(0.732163\pi\) | |||||||
\(702\) | 3.08932 | − | 2.73958i | 0.116599 | − | 0.103399i | ||||
\(703\) | 2.61857i | 0.0987614i | ||||||||
\(704\) | 8.90532 | + | 26.1999i | 0.335632 | + | 0.987445i | ||||
\(705\) | 3.22347i | 0.121403i | ||||||||
\(706\) | −27.6941 | − | 31.2296i | −1.04228 | − | 1.17534i | ||||
\(707\) | 1.81018 | − | 0.178287i | 0.0680787 | − | 0.00670517i | ||||
\(708\) | −12.9580 | − | 7.29176i | −0.486993 | − | 0.274041i | ||||
\(709\) | −7.43045 | + | 13.9014i | −0.279056 | + | 0.522078i | −0.981932 | − | 0.189235i | \(-0.939399\pi\) |
0.702876 | + | 0.711313i | \(0.251899\pi\) | |||||||
\(710\) | −7.71549 | − | 7.14680i | −0.289557 | − | 0.268215i | ||||
\(711\) | 3.38319 | + | 0.672958i | 0.126879 | + | 0.0252379i | ||||
\(712\) | 17.4001 | − | 7.54733i | 0.652095 | − | 0.282848i | ||||
\(713\) | −7.35941 | − | 36.9983i | −0.275612 | − | 1.38560i | ||||
\(714\) | −2.20312 | − | 9.21823i | −0.0824496 | − | 0.344984i | ||||
\(715\) | 9.87805 | − | 8.10671i | 0.369418 | − | 0.303174i | ||||
\(716\) | −31.3992 | + | 12.2153i | −1.17344 | + | 0.456506i | ||||
\(717\) | −14.2939 | + | 7.64024i | −0.533815 | + | 0.285330i | ||||
\(718\) | −9.32475 | − | 15.9470i | −0.347997 | − | 0.595136i | ||||
\(719\) | −29.5606 | − | 12.2444i | −1.10242 | − | 0.456639i | −0.244101 | − | 0.969750i | \(-0.578493\pi\) |
−0.858322 | + | 0.513111i | \(0.828493\pi\) | |||||||
\(720\) | −4.35600 | − | 2.57713i | −0.162339 | − | 0.0960441i | ||||
\(721\) | −29.6796 | + | 12.2937i | −1.10533 | + | 0.457842i | ||||
\(722\) | 21.3513 | + | 16.1969i | 0.794612 | + | 0.602787i | ||||
\(723\) | −5.15895 | − | 1.56495i | −0.191863 | − | 0.0582011i | ||||
\(724\) | −19.5393 | + | 12.4516i | −0.726173 | + | 0.462759i | ||||
\(725\) | −1.70223 | + | 17.2830i | −0.0632193 | + | 0.641876i | ||||
\(726\) | 1.34723 | + | 0.214795i | 0.0500004 | + | 0.00797180i | ||||
\(727\) | 11.5959 | − | 17.3544i | 0.430066 | − | 0.643640i | −0.551631 | − | 0.834088i | \(-0.685994\pi\) |
0.981697 | + | 0.190449i | \(0.0609943\pi\) | |||||||
\(728\) | 13.5679 | − | 1.56361i | 0.502861 | − | 0.0579511i | ||||
\(729\) | −0.831470 | + | 0.555570i | −0.0307952 | + | 0.0205767i | ||||
\(730\) | −5.61450 | + | 15.1709i | −0.207802 | + | 0.561500i | ||||
\(731\) | 20.5544 | − | 6.23511i | 0.760232 | − | 0.230614i | ||||
\(732\) | −0.442082 | − | 5.76824i | −0.0163398 | − | 0.213200i | ||||
\(733\) | 19.8424 | − | 24.1780i | 0.732894 | − | 0.893034i | −0.264558 | − | 0.964370i | \(-0.585226\pi\) |
0.997452 | + | 0.0713355i | \(0.0227261\pi\) | |||||||
\(734\) | 0.0292662 | + | 0.0846767i | 0.00108024 | + | 0.00312547i | ||||
\(735\) | 3.81575 | − | 3.81575i | 0.140746 | − | 0.140746i | ||||
\(736\) | −16.2390 | − | 19.9952i | −0.598576 | − | 0.737032i | ||||
\(737\) | −24.2289 | − | 24.2289i | −0.892483 | − | 0.892483i | ||||
\(738\) | −2.28147 | + | 4.69148i | −0.0839820 | + | 0.172696i | ||||
\(739\) | 23.3990 | + | 19.2030i | 0.860745 | + | 0.706395i | 0.957351 | − | 0.288928i | \(-0.0932988\pi\) |
−0.0966063 | + | 0.995323i | \(0.530799\pi\) | |||||||
\(740\) | −28.2127 | − | 9.23079i | −1.03712 | − | 0.339331i | ||||
\(741\) | 0.189202 | + | 0.623717i | 0.00695053 | + | 0.0229128i | ||||
\(742\) | −3.15456 | − | 6.86126i | −0.115808 | − | 0.251885i | ||||
\(743\) | 5.89949 | + | 8.82921i | 0.216431 | + | 0.323912i | 0.923760 | − | 0.382973i | \(-0.125100\pi\) |
−0.707328 | + | 0.706885i | \(0.750100\pi\) | |||||||
\(744\) | 17.8643 | − | 15.1628i | 0.654936 | − | 0.555896i | ||||
\(745\) | −4.10992 | − | 2.74616i | −0.150576 | − | 0.100611i | ||||
\(746\) | 8.33346 | + | 11.4948i | 0.305109 | + | 0.420853i | ||||
\(747\) | 2.57324 | + | 0.253442i | 0.0941498 | + | 0.00927295i | ||||
\(748\) | 16.0763 | − | 22.9659i | 0.587809 | − | 0.839716i | ||||
\(749\) | 3.66512 | − | 12.0823i | 0.133920 | − | 0.441477i | ||||
\(750\) | −14.8897 | + | 2.04396i | −0.543696 | + | 0.0746347i | ||||
\(751\) | 5.29408 | + | 12.7811i | 0.193184 | + | 0.466387i | 0.990557 | − | 0.137099i | \(-0.0437779\pi\) |
−0.797373 | + | 0.603486i | \(0.793778\pi\) | |||||||
\(752\) | −10.0712 | + | 1.55286i | −0.367260 | + | 0.0566268i | ||||
\(753\) | 12.0409 | − | 29.0692i | 0.438794 | − | 1.05934i | ||||
\(754\) | −5.34772 | + | 20.4079i | −0.194752 | + | 0.743214i | ||||
\(755\) | 4.33502 | + | 8.11025i | 0.157768 | + | 0.295162i | ||||
\(756\) | −3.30693 | − | 0.0717173i | −0.120272 | − | 0.00260833i | ||||
\(757\) | −0.324852 | − | 0.395833i | −0.0118069 | − | 0.0143868i | 0.767074 | − | 0.641559i | \(-0.221712\pi\) |
−0.778880 | + | 0.627172i | \(0.784212\pi\) | |||||||
\(758\) | −20.4029 | − | 12.5317i | −0.741066 | − | 0.455171i | ||||
\(759\) | −15.4480 | + | 3.07281i | −0.560728 | + | 0.111536i | ||||
\(760\) | 0.656845 | − | 0.454803i | 0.0238263 | − | 0.0164974i | ||||
\(761\) | −1.88487 | + | 9.47588i | −0.0683264 | + | 0.343500i | −0.999793 | − | 0.0203257i | \(-0.993530\pi\) |
0.931467 | + | 0.363826i | \(0.118530\pi\) | |||||||
\(762\) | −0.694589 | − | 18.1524i | −0.0251623 | − | 0.657593i | ||||
\(763\) | −13.9645 | − | 7.46418i | −0.505549 | − | 0.270222i | ||||
\(764\) | −3.93362 | + | 32.6616i | −0.142313 | + | 1.18165i | ||||
\(765\) | 0.502573 | + | 5.10271i | 0.0181706 | + | 0.184489i | ||||
\(766\) | −31.6118 | − | 1.89674i | −1.14218 | − | 0.0685320i | ||||
\(767\) | −21.7061 | −0.783763 | ||||||||
\(768\) | 5.95343 | − | 14.8512i | 0.214826 | − | 0.535895i | ||||
\(769\) | −16.5098 | −0.595358 | −0.297679 | − | 0.954666i | \(-0.596212\pi\) | ||||
−0.297679 | + | 0.954666i | \(0.596212\pi\) | |||||||
\(770\) | −10.2183 | − | 0.613111i | −0.368243 | − | 0.0220950i | ||||
\(771\) | −2.27917 | − | 23.1408i | −0.0820825 | − | 0.833397i | ||||
\(772\) | −2.27783 | + | 18.9133i | −0.0819809 | + | 0.680703i | ||||
\(773\) | −21.4866 | − | 11.4848i | −0.772818 | − | 0.413080i | 0.0373314 | − | 0.999303i | \(-0.488114\pi\) |
−0.810150 | + | 0.586223i | \(0.800614\pi\) | |||||||
\(774\) | −0.286624 | − | 7.49064i | −0.0103025 | − | 0.269246i | ||||
\(775\) | 5.49341 | − | 27.6173i | 0.197329 | − | 0.992041i | ||||
\(776\) | −19.3377 | − | 27.9283i | −0.694183 | − | 1.00257i | ||||
\(777\) | −19.0270 | + | 3.78470i | −0.682588 | + | 0.135775i | ||||
\(778\) | −13.0896 | − | 8.03977i | −0.469285 | − | 0.288240i | ||||
\(779\) | −0.522413 | − | 0.636562i | −0.0187174 | − | 0.0228072i | ||||
\(780\) | −7.38692 | − | 0.160200i | −0.264494 | − | 0.00573609i | ||||
\(781\) | −9.58322 | − | 17.9289i | −0.342915 | − | 0.641548i | ||||
\(782\) | −6.61470 | + | 25.2430i | −0.236541 | + | 0.902689i | ||||
\(783\) | 1.95528 | − | 4.72045i | 0.0698758 | − | 0.168695i | ||||
\(784\) | 13.7599 | + | 10.0836i | 0.491425 | + | 0.360127i | ||||
\(785\) | 7.43722 | + | 17.9550i | 0.265446 | + | 0.640843i | ||||
\(786\) | −14.6417 | + | 2.00991i | −0.522253 | + | 0.0716912i | ||||
\(787\) | −6.71893 | + | 22.1493i | −0.239504 | + | 0.789539i | 0.751966 | + | 0.659202i | \(0.229106\pi\) |
−0.991470 | + | 0.130337i | \(0.958394\pi\) | |||||||
\(788\) | −2.74342 | + | 3.91911i | −0.0977302 | + | 0.139613i | ||||
\(789\) | −7.00901 | − | 0.690328i | −0.249527 | − | 0.0245763i | ||||
\(790\) | −3.62303 | − | 4.99743i | −0.128902 | − | 0.177801i | ||||
\(791\) | 23.4003 | + | 15.6356i | 0.832020 | + | 0.555938i | ||||
\(792\) | −6.33100 | − | 7.45894i | −0.224962 | − | 0.265042i | ||||
\(793\) | −4.69203 | − | 7.02212i | −0.166619 | − | 0.249363i | ||||
\(794\) | 10.1693 | + | 22.1185i | 0.360895 | + | 0.784955i | ||||
\(795\) | 1.18592 | + | 3.90946i | 0.0420603 | + | 0.138654i | ||||
\(796\) | 2.80458 | + | 0.917619i | 0.0994057 | + | 0.0325242i | ||||
\(797\) | −6.53412 | − | 5.36241i | −0.231450 | − | 0.189946i | 0.511519 | − | 0.859272i | \(-0.329083\pi\) |
−0.742969 | + | 0.669326i | \(0.766583\pi\) | |||||||
\(798\) | 0.228343 | − | 0.469550i | 0.00808324 | − | 0.0166219i | ||||
\(799\) | 7.29975 | + | 7.29975i | 0.258247 | + | 0.258247i | ||||
\(800\) | −5.48714 | − | 18.4279i | −0.194000 | − | 0.651526i | ||||
\(801\) | −4.74160 | + | 4.74160i | −0.167536 | + | 0.167536i | ||||
\(802\) | −11.7363 | − | 33.9570i | −0.414423 | − | 1.19906i | ||||
\(803\) | −19.8372 | + | 24.1716i | −0.700038 | + | 0.852999i | ||||
\(804\) | 1.51397 | + | 19.7541i | 0.0533935 | + | 0.696673i | ||||
\(805\) | 9.11862 | − | 2.76610i | 0.321389 | − | 0.0974924i | ||||
\(806\) | 11.8724 | − | 32.0802i | 0.418186 | − | 1.12998i | ||||
\(807\) | 21.1400 | − | 14.1253i | 0.744163 | − | 0.497234i | ||||
\(808\) | −0.356135 | − | 3.09030i | −0.0125288 | − | 0.108716i | ||||
\(809\) | 15.3186 | − | 22.9259i | 0.538573 | − | 0.806032i | −0.457982 | − | 0.888961i | \(-0.651428\pi\) |
0.996555 | + | 0.0829295i | \(0.0264276\pi\) | |||||||
\(810\) | 1.76711 | + | 0.281738i | 0.0620898 | + | 0.00989927i | ||||
\(811\) | −1.64683 | + | 16.7206i | −0.0578281 | + | 0.587139i | 0.921985 | + | 0.387225i | \(0.126566\pi\) |
−0.979813 | + | 0.199914i | \(0.935934\pi\) | |||||||
\(812\) | 14.2524 | − | 9.08243i | 0.500160 | − | 0.318731i | ||||
\(813\) | −28.2648 | − | 8.57404i | −0.991291 | − | 0.300705i | ||||
\(814\) | −45.7152 | − | 34.6792i | −1.60232 | − | 1.21550i | ||||
\(815\) | 8.16915 | − | 3.38377i | 0.286153 | − | 0.118528i | ||||
\(816\) | −15.7005 | + | 4.02836i | −0.549628 | + | 0.141021i | ||||
\(817\) | 1.09321 | + | 0.452822i | 0.0382465 | + | 0.0158422i | ||||
\(818\) | 6.35102 | + | 10.8614i | 0.222058 | + | 0.379759i | ||||
\(819\) | −4.25856 | + | 2.27625i | −0.148806 | + | 0.0795386i | ||||
\(820\) | 8.69993 | − | 3.38455i | 0.303815 | − | 0.118194i | ||||
\(821\) | 36.0334 | − | 29.5719i | 1.25758 | − | 1.03207i | 0.259782 | − | 0.965667i | \(-0.416349\pi\) |
0.997793 | − | 0.0663979i | \(-0.0211507\pi\) | |||||||
\(822\) | −6.54564 | − | 27.3881i | −0.228305 | − | 0.955270i | ||||
\(823\) | 5.72730 | + | 28.7931i | 0.199641 | + | 1.00366i | 0.942498 | + | 0.334213i | \(0.108470\pi\) |
−0.742857 | + | 0.669451i | \(0.766530\pi\) | |||||||
\(824\) | 21.8625 | + | 50.4032i | 0.761617 | + | 1.75588i | ||||
\(825\) | −11.5311 | − | 2.29369i | −0.401463 | − | 0.0798559i | ||||
\(826\) | 12.7565 | + | 11.8163i | 0.443856 | + | 0.411140i | ||||
\(827\) | 12.6431 | − | 23.6535i | 0.439642 | − | 0.822513i | −0.560341 | − | 0.828262i | \(-0.689330\pi\) |
0.999983 | + | 0.00574899i | \(0.00182997\pi\) | |||||||
\(828\) | 7.93676 | + | 4.46618i | 0.275821 | + | 0.155211i | ||||
\(829\) | 8.86383 | − | 0.873011i | 0.307853 | − | 0.0303209i | 0.0570891 | − | 0.998369i | \(-0.481818\pi\) |
0.250764 | + | 0.968048i | \(0.419318\pi\) | |||||||
\(830\) | −3.06988 | − | 3.46179i | −0.106557 | − | 0.120161i | ||||
\(831\) | 22.8135i | 0.791390i | ||||||||
\(832\) | −3.05801 | − | 23.1565i | −0.106017 | − | 0.802807i | ||||
\(833\) | − | 17.2820i | − | 0.598786i | ||||||
\(834\) | −0.305521 | + | 0.270933i | −0.0105793 | + | 0.00938164i | ||||
\(835\) | −2.91178 | + | 0.286786i | −0.100766 | + | 0.00992463i | ||||
\(836\) | 1.48722 | − | 0.416153i | 0.0514367 | − | 0.0143930i | ||||
\(837\) | −3.90522 | + | 7.30614i | −0.134984 | + | 0.252537i | ||||
\(838\) | −34.6898 | + | 37.4502i | −1.19834 | + | 1.29370i | ||||
\(839\) | −34.5231 | − | 6.86707i | −1.19187 | − | 0.237078i | −0.440987 | − | 0.897513i | \(-0.645372\pi\) |
−0.750883 | + | 0.660436i | \(0.770372\pi\) | |||||||
\(840\) | 4.25403 | + | 4.11540i | 0.146778 | + | 0.141995i | ||||
\(841\) | −0.564635 | − | 2.83861i | −0.0194702 | − | 0.0978831i | ||||
\(842\) | −29.4294 | + | 7.03350i | −1.01420 | + | 0.242391i | ||||
\(843\) | 16.6360 | − | 13.6528i | 0.572975 | − | 0.470228i | ||||
\(844\) | 37.5637 | + | 16.5225i | 1.29300 | + | 0.568727i | ||||
\(845\) | 4.99414 | − | 2.66943i | 0.171804 | − | 0.0918310i | ||||
\(846\) | 3.11012 | − | 1.81860i | 0.106928 | − | 0.0625247i | ||||
\(847\) | −1.47397 | − | 0.610540i | −0.0506463 | − | 0.0209784i | ||||
\(848\) | −11.6432 | + | 5.58855i | −0.399829 | + | 0.191912i | ||||
\(849\) | −7.81580 | + | 3.23741i | −0.268238 | + | 0.111108i | ||||
\(850\) | −11.7724 | + | 15.5188i | −0.403791 | + | 0.532289i | ||||
\(851\) | 51.1132 | + | 15.5050i | 1.75214 | + | 0.531505i | ||||
\(852\) | −2.54262 | + | 11.4762i | −0.0871086 | + | 0.393169i | ||||
\(853\) | 3.63306 | − | 36.8871i | 0.124394 | − | 1.26299i | −0.706963 | − | 0.707250i | \(-0.749935\pi\) |
0.831357 | − | 0.555739i | \(-0.187565\pi\) | |||||||
\(854\) | −1.06519 | + | 6.68107i | −0.0364502 | + | 0.228621i | ||||
\(855\) | −0.156929 | + | 0.234861i | −0.00536686 | + | 0.00803208i | ||||
\(856\) | −20.7642 | − | 5.92504i | −0.709704 | − | 0.202514i | ||||
\(857\) | −45.8152 | + | 30.6128i | −1.56502 | + | 1.04571i | −0.594680 | + | 0.803963i | \(0.702721\pi\) |
−0.970339 | + | 0.241749i | \(0.922279\pi\) | |||||||
\(858\) | −13.3946 | − | 4.95712i | −0.457284 | − | 0.169233i | ||||
\(859\) | −11.6782 | + | 3.54254i | −0.398455 | + | 0.120870i | −0.483152 | − | 0.875537i | \(-0.660508\pi\) |
0.0846964 | + | 0.996407i | \(0.473008\pi\) | |||||||
\(860\) | −8.73242 | + | 10.1820i | −0.297773 | + | 0.347205i | ||||
\(861\) | 3.87030 | − | 4.71597i | 0.131899 | − | 0.160720i | ||||
\(862\) | 27.6115 | − | 9.54317i | 0.940453 | − | 0.325042i | ||||
\(863\) | −35.2711 | + | 35.2711i | −1.20064 | + | 1.20064i | −0.226669 | + | 0.973972i | \(0.572784\pi\) |
−0.973972 | + | 0.226669i | \(0.927216\pi\) | |||||||
\(864\) | −0.0289722 | + | 5.65678i | −0.000985653 | + | 0.192448i | ||||
\(865\) | 9.43190 | + | 9.43190i | 0.320694 | + | 0.320694i | ||||
\(866\) | −17.1393 | − | 8.33487i | −0.582418 | − | 0.283231i | ||||
\(867\) | −0.447668 | − | 0.367391i | −0.0152036 | − | 0.0124773i | ||||
\(868\) | −24.4409 | + | 12.3903i | −0.829580 | + | 0.420553i | ||||
\(869\) | −3.46359 | − | 11.4179i | −0.117494 | − | 0.387327i | ||||
\(870\) | −8.30694 | + | 3.81924i | −0.281632 | + | 0.129484i | ||||
\(871\) | 16.0685 | + | 24.0482i | 0.544459 | + | 0.814841i | ||||
\(872\) | −12.3680 | + | 24.0903i | −0.418834 | + | 0.815801i | ||||
\(873\) | 9.98601 | + | 6.67244i | 0.337975 | + | 0.225828i | ||||
\(874\) | −1.16389 | + | 0.843792i | −0.0393690 | + | 0.0285417i | ||||
\(875\) | 17.4914 | + | 1.72276i | 0.591318 | + | 0.0582398i | ||||
\(876\) | 17.8050 | − | 3.14194i | 0.601575 | − | 0.106156i | ||||
\(877\) | 5.07012 | − | 16.7139i | 0.171206 | − | 0.564390i | −0.828783 | − | 0.559571i | \(-0.810966\pi\) |
0.999988 | − | 0.00481900i | \(-0.00153394\pi\) | |||||||
\(878\) | −0.698050 | − | 5.08512i | −0.0235580 | − | 0.171615i | ||||
\(879\) | 10.3874 | + | 25.0775i | 0.350359 | + | 0.845842i | ||||
\(880\) | −0.758987 | + | 17.4904i | −0.0255855 | + | 0.589603i | ||||
\(881\) | −9.19240 | + | 22.1924i | −0.309700 | + | 0.747681i | 0.690015 | + | 0.723795i | \(0.257604\pi\) |
−0.999715 | + | 0.0238861i | \(0.992396\pi\) | |||||||
\(882\) | −5.83432 | − | 1.52883i | −0.196452 | − | 0.0514784i | ||||
\(883\) | −14.3348 | − | 26.8185i | −0.482404 | − | 0.902514i | −0.998930 | − | 0.0462430i | \(-0.985275\pi\) |
0.516526 | − | 0.856271i | \(-0.327225\pi\) | |||||||
\(884\) | −17.0909 | + | 16.3654i | −0.574830 | + | 0.550427i | ||||
\(885\) | −5.96764 | − | 7.27159i | −0.200600 | − | 0.244432i | ||||
\(886\) | −3.00658 | + | 4.89503i | −0.101008 | + | 0.164452i | ||||
\(887\) | 15.9848 | − | 3.17958i | 0.536718 | − | 0.106760i | 0.0807138 | − | 0.996737i | \(-0.474280\pi\) |
0.456005 | + | 0.889977i | \(0.349280\pi\) | |||||||
\(888\) | 7.01063 | + | 32.4284i | 0.235261 | + | 1.08822i | ||||
\(889\) | −4.14448 | + | 20.8357i | −0.139001 | + | 0.698806i | ||||
\(890\) | 11.9905 | − | 0.458806i | 0.401922 | − | 0.0153792i | ||||
\(891\) | 3.05056 | + | 1.63056i | 0.102198 | + | 0.0546258i | ||||
\(892\) | 1.99965 | − | 1.56977i | 0.0669533 | − | 0.0525597i | ||||
\(893\) | 0.0557433 | + | 0.565971i | 0.00186538 | + | 0.0189395i | ||||
\(894\) | −0.330888 | + | 5.51470i | −0.0110665 | + | 0.184439i | ||||
\(895\) | −21.3152 | −0.712489 | ||||||||
\(896\) | −10.8086 | + | 15.2736i | −0.361091 | + | 0.510255i | ||||
\(897\) | 13.2949 | 0.443905 | ||||||||
\(898\) | −2.60157 | + | 43.3588i | −0.0868156 | + | 1.44690i | ||||
\(899\) | −4.14886 | − | 42.1241i | −0.138372 | − | 1.40492i | ||||
\(900\) | 4.19763 | + | 5.34716i | 0.139921 | + | 0.178239i | ||||
\(901\) | 11.5388 | + | 6.16762i | 0.384414 | + | 0.205473i | ||||
\(902\) | 18.0317 | − | 0.689970i | 0.600391 | − | 0.0229735i | ||||
\(903\) | −1.71023 | + | 8.59789i | −0.0569128 | + | 0.286120i | ||||
\(904\) | 26.0737 | − | 40.4567i | 0.867197 | − | 1.34557i | ||||
\(905\) | −14.3767 | + | 2.85971i | −0.477898 | + | 0.0950598i | ||||
\(906\) | 5.37936 | − | 8.75817i | 0.178717 | − | 0.290971i | ||||
\(907\) | 7.42445 | + | 9.04672i | 0.246525 | + | 0.300391i | 0.881541 | − | 0.472107i | \(-0.156507\pi\) |
−0.635016 | + | 0.772499i | \(0.719007\pi\) | |||||||
\(908\) | −25.3079 | − | 26.4299i | −0.839872 | − | 0.877108i | ||||
\(909\) | 0.518451 | + | 0.969953i | 0.0171959 | + | 0.0321713i | ||||
\(910\) | 8.35846 | + | 2.19026i | 0.277080 | + | 0.0726064i | ||||
\(911\) | 2.19635 | − | 5.30245i | 0.0727682 | − | 0.175678i | −0.883310 | − | 0.468789i | \(-0.844691\pi\) |
0.956078 | + | 0.293111i | \(0.0946905\pi\) | |||||||
\(912\) | −0.809385 | − | 0.377160i | −0.0268014 | − | 0.0124890i | ||||
\(913\) | −3.42268 | − | 8.26308i | −0.113274 | − | 0.273468i | ||||
\(914\) | −5.71893 | − | 41.6610i | −0.189165 | − | 1.37802i | ||||
\(915\) | 1.06245 | − | 3.50243i | 0.0351235 | − | 0.115787i | ||||
\(916\) | −5.22805 | − | 29.6267i | −0.172740 | − | 0.978893i | ||||
\(917\) | 17.2001 | + | 1.69406i | 0.567997 | + | 0.0559429i | ||||
\(918\) | 4.63974 | − | 3.36371i | 0.153134 | − | 0.111019i | ||||
\(919\) | −19.9874 | − | 13.3551i | −0.659322 | − | 0.440545i | 0.180377 | − | 0.983598i | \(-0.442268\pi\) |
−0.839699 | + | 0.543053i | \(0.817268\pi\) | |||||||
\(920\) | −4.98823 | − | 15.5142i | −0.164457 | − | 0.511490i | ||||
\(921\) | 3.79090 | + | 5.67349i | 0.124915 | + | 0.186948i | ||||
\(922\) | 13.2548 | − | 6.09410i | 0.436524 | − | 0.200698i | ||||
\(923\) | 4.98122 | + | 16.4209i | 0.163959 | + | 0.540500i | ||||
\(924\) | 5.17336 | + | 10.2049i | 0.170191 | + | 0.335717i | ||||
\(925\) | 30.8200 | + | 25.2933i | 1.01335 | + | 0.831639i | ||||
\(926\) | −39.4192 | − | 19.1696i | −1.29540 | − | 0.629952i | ||||
\(927\) | −13.7351 | − | 13.7351i | −0.451120 | − | 0.451120i | ||||
\(928\) | −15.9344 | − | 24.1139i | −0.523071 | − | 0.791578i | ||||
\(929\) | 7.23770 | − | 7.23770i | 0.237461 | − | 0.237461i | −0.578337 | − | 0.815798i | \(-0.696298\pi\) |
0.815798 | + | 0.578337i | \(0.196298\pi\) | |||||||
\(930\) | 14.0110 | − | 4.84252i | 0.459439 | − | 0.158792i | ||||
\(931\) | 0.603977 | − | 0.735948i | 0.0197946 | − | 0.0241197i | ||||
\(932\) | 21.8964 | + | 18.7790i | 0.717241 | + | 0.615127i | ||||
\(933\) | 16.9928 | − | 5.15472i | 0.556321 | − | 0.168758i | ||||
\(934\) | 47.3206 | + | 17.5126i | 1.54838 | + | 0.573029i | ||||
\(935\) | 14.7467 | − | 9.85341i | 0.482267 | − | 0.322241i | ||||
\(936\) | 4.01294 | + | 7.21755i | 0.131167 | + | 0.235913i | ||||
\(937\) | −3.86623 | + | 5.78622i | −0.126304 | + | 0.189028i | −0.889233 | − | 0.457456i | \(-0.848761\pi\) |
0.762928 | + | 0.646483i | \(0.223761\pi\) | |||||||
\(938\) | 3.64789 | − | 22.8802i | 0.119108 | − | 0.747064i | ||||
\(939\) | −1.32870 | + | 13.4905i | −0.0433605 | + | 0.440247i | ||||
\(940\) | −6.29431 | − | 1.39454i | −0.205298 | − | 0.0454848i | ||||
\(941\) | −22.9070 | − | 6.94875i | −0.746746 | − | 0.226523i | −0.106096 | − | 0.994356i | \(-0.533835\pi\) |
−0.640650 | + | 0.767833i | \(0.721335\pi\) | |||||||
\(942\) | 13.1278 | − | 17.3055i | 0.427727 | − | 0.563842i | ||||
\(943\) | −15.5187 | + | 6.42804i | −0.505357 | + | 0.209326i | ||||
\(944\) | 19.8442 | − | 22.1480i | 0.645872 | − | 0.720854i | ||||
\(945\) | −1.93335 | − | 0.800820i | −0.0628919 | − | 0.0260507i | ||||
\(946\) | −22.3833 | + | 13.0883i | −0.727745 | + | 0.425538i | ||||
\(947\) | −10.0779 | + | 5.38673i | −0.327487 | + | 0.175045i | −0.626944 | − | 0.779064i | \(-0.715694\pi\) |
0.299457 | + | 0.954110i | \(0.403194\pi\) | |||||||
\(948\) | −2.77768 | + | 6.31505i | −0.0902150 | + | 0.205103i | ||||
\(949\) | 20.4029 | − | 16.7443i | 0.662308 | − | 0.543542i | ||||
\(950\) | −1.04368 | + | 0.249435i | −0.0338614 | + | 0.00809273i | ||||
\(951\) | 0.270608 | + | 1.36044i | 0.00877506 | + | 0.0441152i | ||||
\(952\) | 18.9531 | − | 0.313929i | 0.614273 | − | 0.0101745i | ||||
\(953\) | −33.7220 | − | 6.70771i | −1.09236 | − | 0.217284i | −0.384140 | − | 0.923275i | \(-0.625502\pi\) |
−0.708221 | + | 0.705991i | \(0.750502\pi\) | |||||||
\(954\) | 3.10292 | − | 3.34983i | 0.100461 | − | 0.108455i | ||||
\(955\) | −9.81114 | + | 18.3554i | −0.317481 | + | 0.593965i | ||||
\(956\) | −8.73490 | − | 31.2163i | −0.282507 | − | 1.00961i | ||||
\(957\) | −17.5882 | + | 1.73229i | −0.568547 | + | 0.0559970i | ||||
\(958\) | 24.1912 | − | 21.4525i | 0.781583 | − | 0.693100i | ||||
\(959\) | 32.9310i | 1.06340i | ||||||||
\(960\) | 6.91673 | − | 7.39083i | 0.223237 | − | 0.238538i | ||||
\(961\) | 37.6304i | 1.21389i | ||||||||
\(962\) | 32.1353 | + | 36.2378i | 1.03608 | + | 1.16835i | ||||
\(963\) | 7.59750 | − | 0.748289i | 0.244826 | − | 0.0241133i | ||||
\(964\) | 5.28766 | − | 9.39659i | 0.170304 | − | 0.302644i | ||||
\(965\) | −5.68132 | + | 10.6290i | −0.182888 | + | 0.342159i | ||||
\(966\) | −7.81332 | − | 7.23742i | −0.251390 | − | 0.232860i | ||||
\(967\) | −12.8395 | − | 2.55394i | −0.412892 | − | 0.0821293i | −0.0157264 | − | 0.999876i | \(-0.505006\pi\) |
−0.397165 | + | 0.917747i | \(0.630006\pi\) | |||||||
\(968\) | −1.00226 | + | 2.53774i | −0.0322138 | + | 0.0815662i | ||||
\(969\) | 0.176482 | + | 0.887233i | 0.00566941 | + | 0.0285020i | ||||
\(970\) | −4.99560 | − | 20.9025i | −0.160399 | − | 0.671138i | ||||
\(971\) | 3.99431 | − | 3.27804i | 0.128183 | − | 0.105197i | −0.568117 | − | 0.822948i | \(-0.692328\pi\) |
0.696301 | + | 0.717750i | \(0.254828\pi\) | |||||||
\(972\) | −0.725124 | − | 1.86392i | −0.0232584 | − | 0.0597852i | ||||
\(973\) | 0.421154 | − | 0.225111i | 0.0135016 | − | 0.00721674i | ||||
\(974\) | 28.0408 | + | 47.9546i | 0.898484 | + | 1.53657i | ||||
\(975\) | 9.16854 | + | 3.79774i | 0.293628 | + | 0.121625i | ||||
\(976\) | 11.4546 | + | 1.63222i | 0.366653 | + | 0.0522462i | ||||
\(977\) | −31.0666 | + | 12.8682i | −0.993908 | + | 0.411690i | −0.819560 | − | 0.572994i | \(-0.805782\pi\) |
−0.174348 | + | 0.984684i | \(0.555782\pi\) | |||||||
\(978\) | −7.87360 | − | 5.97286i | −0.251770 | − | 0.190991i | ||||
\(979\) | 22.1960 | + | 6.73309i | 0.709388 | + | 0.215191i | ||||
\(980\) | 5.80006 | + | 9.10159i | 0.185276 | + | 0.290740i | ||||
\(981\) | 0.938429 | − | 9.52803i | 0.0299617 | − | 0.304206i | ||||
\(982\) | −21.7828 | − | 3.47293i | −0.695117 | − | 0.110826i | ||||
\(983\) | 9.49278 | − | 14.2069i | 0.302773 | − | 0.453131i | −0.648620 | − | 0.761113i | \(-0.724653\pi\) |
0.951392 | + | 0.307981i | \(0.0996534\pi\) | |||||||
\(984\) | −8.17380 | − | 6.48453i | −0.260571 | − | 0.206719i | ||||
\(985\) | −2.51651 | + | 1.68148i | −0.0801826 | + | 0.0535763i | ||||
\(986\) | −10.1627 | + | 27.4605i | −0.323646 | + | 0.874521i | ||||
\(987\) | −4.03187 | + | 1.22305i | −0.128336 | + | 0.0389302i | ||||
\(988\) | −1.29975 | + | 0.0996140i | −0.0413507 | + | 0.00316914i | ||||
\(989\) | 15.3119 | − | 18.6576i | 0.486890 | − | 0.593278i | ||||
\(990\) | −2.02192 | − | 5.85007i | −0.0642607 | − | 0.185927i | ||||
\(991\) | −24.1529 | + | 24.1529i | −0.767242 | + | 0.767242i | −0.977620 | − | 0.210378i | \(-0.932531\pi\) |
0.210378 | + | 0.977620i | \(0.432531\pi\) | |||||||
\(992\) | 21.8793 | + | 41.4424i | 0.694667 | + | 1.31580i | ||||
\(993\) | 9.40697 | + | 9.40697i | 0.298521 | + | 0.298521i | ||||
\(994\) | 6.01168 | − | 12.3621i | 0.190679 | − | 0.392101i | ||||
\(995\) | 1.44313 | + | 1.18435i | 0.0457503 | + | 0.0375463i | ||||
\(996\) | −1.60812 | + | 4.91499i | −0.0509551 | + | 0.155737i | ||||
\(997\) | −15.7552 | − | 51.9380i | −0.498973 | − | 1.64489i | −0.738685 | − | 0.674050i | \(-0.764553\pi\) |
0.239712 | − | 0.970844i | \(-0.422947\pi\) | |||||||
\(998\) | 16.7699 | + | 36.4749i | 0.530841 | + | 1.15459i | ||||
\(999\) | −6.51685 | − | 9.75316i | −0.206184 | − | 0.308576i |
(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 | 384.2.v.a.181.32 | yes | 512 | |
128.29 | even | 32 | inner | 384.2.v.a.157.32 | ✓ | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.v.a.157.32 | ✓ | 512 | 128.29 | even | 32 | inner | |
384.2.v.a.181.32 | yes | 512 | 1.1 | even | 1 | trivial |