Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(229,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.229");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.bk (of order \(6\), degree \(2\), 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: | \(2.87461447277\) |
Analytic rank: | \(0\) |
Dimension: | \(136\) |
Relative dimension: | \(68\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 229.13 | ||
Character | \(\chi\) | \(=\) | 360.229 |
Dual form | 360.2.bk.a.349.13 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.19522 | + | 0.755949i | −0.845145 | + | 0.534536i | ||||
\(3\) | 1.28051 | + | 1.16631i | 0.739305 | + | 0.673371i | ||||
\(4\) | 0.857083 | − | 1.80704i | 0.428542 | − | 0.903522i | ||||
\(5\) | −2.01086 | + | 0.977977i | −0.899284 | + | 0.437365i | ||||
\(6\) | −2.41216 | − | 0.425992i | −0.984761 | − | 0.173911i | ||||
\(7\) | 1.13221 | − | 0.653679i | 0.427934 | − | 0.247068i | −0.270532 | − | 0.962711i | \(-0.587200\pi\) |
0.698466 | + | 0.715643i | \(0.253866\pi\) | |||||||
\(8\) | 0.341633 | + | 2.80772i | 0.120785 | + | 0.992679i | ||||
\(9\) | 0.279433 | + | 2.98696i | 0.0931442 | + | 0.995653i | ||||
\(10\) | 1.66411 | − | 2.68900i | 0.526239 | − | 0.850337i | ||||
\(11\) | −1.12540 | + | 0.649750i | −0.339321 | + | 0.195907i | −0.659972 | − | 0.751290i | \(-0.729432\pi\) |
0.320651 | + | 0.947197i | \(0.396098\pi\) | |||||||
\(12\) | 3.20508 | − | 1.31432i | 0.925228 | − | 0.379411i | ||||
\(13\) | −1.08961 | + | 1.88726i | −0.302204 | + | 0.523433i | −0.976635 | − | 0.214905i | \(-0.931056\pi\) |
0.674431 | + | 0.738338i | \(0.264389\pi\) | |||||||
\(14\) | −0.859083 | + | 1.63718i | −0.229600 | + | 0.437554i | ||||
\(15\) | −3.71556 | − | 1.09298i | −0.959354 | − | 0.282206i | ||||
\(16\) | −2.53082 | − | 3.09757i | −0.632704 | − | 0.774394i | ||||
\(17\) | 4.74800i | 1.15156i | 0.817605 | + | 0.575780i | \(0.195301\pi\) | ||||
−0.817605 | + | 0.575780i | \(0.804699\pi\) | |||||||
\(18\) | −2.59197 | − | 3.35882i | −0.610933 | − | 0.791682i | ||||
\(19\) | 5.58496i | 1.28128i | 0.767842 | + | 0.640639i | \(0.221330\pi\) | ||||
−0.767842 | + | 0.640639i | \(0.778670\pi\) | |||||||
\(20\) | 0.0437727 | + | 4.47192i | 0.00978787 | + | 0.999952i | ||||
\(21\) | 2.21220 | + | 0.483460i | 0.482742 | + | 0.105500i | ||||
\(22\) | 0.853919 | − | 1.62734i | 0.182056 | − | 0.346949i | ||||
\(23\) | −1.62707 | − | 0.939389i | −0.339267 | − | 0.195876i | 0.320681 | − | 0.947187i | \(-0.396088\pi\) |
−0.659948 | + | 0.751311i | \(0.729422\pi\) | |||||||
\(24\) | −2.83721 | + | 3.99377i | −0.579143 | + | 0.815226i | ||||
\(25\) | 3.08712 | − | 3.93315i | 0.617424 | − | 0.786630i | ||||
\(26\) | −0.124352 | − | 3.07938i | −0.0243875 | − | 0.603916i | ||||
\(27\) | −3.12591 | + | 4.15075i | −0.601581 | + | 0.798812i | ||||
\(28\) | −0.210833 | − | 2.60620i | −0.0398436 | − | 0.492526i | ||||
\(29\) | 1.13812 | − | 0.657094i | 0.211344 | − | 0.122019i | −0.390592 | − | 0.920564i | \(-0.627730\pi\) |
0.601936 | + | 0.798545i | \(0.294396\pi\) | |||||||
\(30\) | 5.26713 | − | 1.50243i | 0.961643 | − | 0.274305i | ||||
\(31\) | 1.71004 | − | 2.96188i | 0.307133 | − | 0.531970i | −0.670601 | − | 0.741818i | \(-0.733964\pi\) |
0.977734 | + | 0.209849i | \(0.0672971\pi\) | |||||||
\(32\) | 5.36648 | + | 1.78910i | 0.948669 | + | 0.316272i | ||||
\(33\) | −2.19890 | − | 0.480554i | −0.382780 | − | 0.0836536i | ||||
\(34\) | −3.58925 | − | 5.67489i | −0.615551 | − | 0.973235i | ||||
\(35\) | −1.63742 | + | 2.42173i | −0.276775 | + | 0.409347i | ||||
\(36\) | 5.63706 | + | 2.05512i | 0.939510 | + | 0.342521i | ||||
\(37\) | −7.68156 | −1.26284 | −0.631420 | − | 0.775441i | \(-0.717528\pi\) | ||||
−0.631420 | + | 0.775441i | \(0.717528\pi\) | |||||||
\(38\) | −4.22194 | − | 6.67523i | −0.684889 | − | 1.08287i | ||||
\(39\) | −3.59640 | + | 1.14584i | −0.575886 | + | 0.183481i | ||||
\(40\) | −3.43286 | − | 5.31182i | −0.542783 | − | 0.839873i | ||||
\(41\) | 4.93913 | − | 8.55483i | 0.771363 | − | 1.33604i | −0.165453 | − | 0.986218i | \(-0.552909\pi\) |
0.936816 | − | 0.349823i | \(-0.113758\pi\) | |||||||
\(42\) | −3.00953 | + | 1.09447i | −0.464380 | + | 0.168880i | ||||
\(43\) | 4.10865 | + | 7.11638i | 0.626563 | + | 1.08524i | 0.988236 | + | 0.152934i | \(0.0488721\pi\) |
−0.361674 | + | 0.932305i | \(0.617795\pi\) | |||||||
\(44\) | 0.209565 | + | 2.59054i | 0.0315932 | + | 0.390538i | ||||
\(45\) | −3.48308 | − | 5.73308i | −0.519226 | − | 0.854637i | ||||
\(46\) | 2.65483 | − | 0.107208i | 0.391433 | − | 0.0158070i | ||||
\(47\) | −4.71475 | + | 2.72206i | −0.687717 | + | 0.397054i | −0.802756 | − | 0.596307i | \(-0.796634\pi\) |
0.115039 | + | 0.993361i | \(0.463301\pi\) | |||||||
\(48\) | 0.371993 | − | 6.91821i | 0.0536925 | − | 0.998558i | ||||
\(49\) | −2.64541 | + | 4.58198i | −0.377915 | + | 0.654568i | ||||
\(50\) | −0.716516 | + | 7.03467i | −0.101331 | + | 0.994853i | ||||
\(51\) | −5.53765 | + | 6.07988i | −0.775426 | + | 0.851354i | ||||
\(52\) | 2.47648 | + | 3.58652i | 0.343426 | + | 0.497361i | ||||
\(53\) | −1.66922 | −0.229284 | −0.114642 | − | 0.993407i | \(-0.536572\pi\) | ||||
−0.114642 | + | 0.993407i | \(0.536572\pi\) | |||||||
\(54\) | 0.598383 | − | 7.32407i | 0.0814297 | − | 0.996679i | ||||
\(55\) | 1.62758 | − | 2.40717i | 0.219463 | − | 0.324583i | ||||
\(56\) | 2.22215 | + | 2.95560i | 0.296947 | + | 0.394958i | ||||
\(57\) | −6.51381 | + | 7.15162i | −0.862775 | + | 0.947255i | ||||
\(58\) | −0.863571 | + | 1.64573i | −0.113392 | + | 0.216095i | ||||
\(59\) | 5.86091 | + | 3.38380i | 0.763025 | + | 0.440533i | 0.830381 | − | 0.557196i | \(-0.188123\pi\) |
−0.0673557 | + | 0.997729i | \(0.521456\pi\) | |||||||
\(60\) | −5.15960 | + | 5.77741i | −0.666102 | + | 0.745861i | ||||
\(61\) | 8.33815 | − | 4.81404i | 1.06759 | − | 0.616374i | 0.140069 | − | 0.990142i | \(-0.455268\pi\) |
0.927522 | + | 0.373768i | \(0.121934\pi\) | |||||||
\(62\) | 0.195159 | + | 4.83279i | 0.0247852 | + | 0.613765i | ||||
\(63\) | 2.26889 | + | 3.19919i | 0.285853 | + | 0.403060i | ||||
\(64\) | −7.76657 | + | 1.91842i | −0.970822 | + | 0.239802i | ||||
\(65\) | 0.345358 | − | 4.86064i | 0.0428363 | − | 0.602889i | ||||
\(66\) | 2.99144 | − | 1.08789i | 0.368220 | − | 0.133910i | ||||
\(67\) | 4.04077 | − | 6.99882i | 0.493659 | − | 0.855042i | −0.506314 | − | 0.862349i | \(-0.668992\pi\) |
0.999973 | + | 0.00730655i | \(0.00232577\pi\) | |||||||
\(68\) | 8.57985 | + | 4.06943i | 1.04046 | + | 0.493491i | ||||
\(69\) | −0.987864 | − | 3.10057i | −0.118925 | − | 0.373265i | ||||
\(70\) | 0.126373 | − | 4.13230i | 0.0151045 | − | 0.493904i | ||||
\(71\) | 2.53449 | 0.300788 | 0.150394 | − | 0.988626i | \(-0.451946\pi\) | ||||
0.150394 | + | 0.988626i | \(0.451946\pi\) | |||||||
\(72\) | −8.29108 | + | 1.80501i | −0.977113 | + | 0.212723i | ||||
\(73\) | − | 14.6597i | − | 1.71579i | −0.513828 | − | 0.857893i | \(-0.671773\pi\) | ||
0.513828 | − | 0.857893i | \(-0.328227\pi\) | |||||||
\(74\) | 9.18112 | − | 5.80686i | 1.06728 | − | 0.675034i | ||||
\(75\) | 8.54038 | − | 1.43591i | 0.986159 | − | 0.165805i | ||||
\(76\) | 10.0923 | + | 4.78678i | 1.15766 | + | 0.549081i | ||||
\(77\) | −0.849457 | + | 1.47130i | −0.0968046 | + | 0.167670i | ||||
\(78\) | 3.43228 | − | 4.08822i | 0.388630 | − | 0.462900i | ||||
\(79\) | 6.46769 | + | 11.2024i | 0.727672 | + | 1.26036i | 0.957865 | + | 0.287220i | \(0.0927310\pi\) |
−0.230193 | + | 0.973145i | \(0.573936\pi\) | |||||||
\(80\) | 8.11848 | + | 3.75371i | 0.907673 | + | 0.419678i | ||||
\(81\) | −8.84383 | + | 1.66931i | −0.982648 | + | 0.185479i | ||||
\(82\) | 0.563680 | + | 13.9586i | 0.0622480 | + | 1.54147i | ||||
\(83\) | −1.92190 | − | 3.32884i | −0.210956 | − | 0.365387i | 0.741058 | − | 0.671441i | \(-0.234324\pi\) |
−0.952014 | + | 0.306054i | \(0.900991\pi\) | |||||||
\(84\) | 2.76967 | − | 3.58318i | 0.302196 | − | 0.390957i | ||||
\(85\) | −4.64344 | − | 9.54757i | −0.503652 | − | 1.03558i | ||||
\(86\) | −10.2903 | − | 5.39969i | −1.10964 | − | 0.582264i | ||||
\(87\) | 2.22376 | + | 0.485985i | 0.238412 | + | 0.0521031i | ||||
\(88\) | −2.20879 | − | 2.93783i | −0.235458 | − | 0.313174i | ||||
\(89\) | 10.3997 | 1.10237 | 0.551185 | − | 0.834383i | \(-0.314176\pi\) | ||||
0.551185 | + | 0.834383i | \(0.314176\pi\) | |||||||
\(90\) | 8.49694 | + | 4.21924i | 0.895656 | + | 0.444747i | ||||
\(91\) | 2.84903i | 0.298659i | ||||||||
\(92\) | −3.09205 | + | 2.13505i | −0.322369 | + | 0.222594i | ||||
\(93\) | 5.64421 | − | 1.79829i | 0.585277 | − | 0.186474i | ||||
\(94\) | 3.57741 | − | 6.81756i | 0.368981 | − | 0.703178i | ||||
\(95\) | −5.46196 | − | 11.2306i | −0.560386 | − | 1.15223i | ||||
\(96\) | 4.78520 | + | 8.54996i | 0.488387 | + | 0.872627i | ||||
\(97\) | 6.73852 | − | 3.89049i | 0.684193 | − | 0.395019i | −0.117240 | − | 0.993104i | \(-0.537405\pi\) |
0.801433 | + | 0.598084i | \(0.204071\pi\) | |||||||
\(98\) | −0.301908 | − | 7.47625i | −0.0304973 | − | 0.755215i | ||||
\(99\) | −2.25525 | − | 3.17996i | −0.226661 | − | 0.319598i | ||||
\(100\) | −4.46146 | − | 8.94960i | −0.446146 | − | 0.894960i | ||||
\(101\) | 13.3624 | − | 7.71476i | 1.32960 | − | 0.767648i | 0.344366 | − | 0.938835i | \(-0.388094\pi\) |
0.985238 | + | 0.171188i | \(0.0547605\pi\) | |||||||
\(102\) | 2.02261 | − | 11.4530i | 0.200268 | − | 1.13401i | ||||
\(103\) | 17.0070 | + | 9.81899i | 1.67575 | + | 0.967493i | 0.964322 | + | 0.264732i | \(0.0852836\pi\) |
0.711426 | + | 0.702761i | \(0.248050\pi\) | |||||||
\(104\) | −5.67116 | − | 2.41458i | −0.556103 | − | 0.236769i | ||||
\(105\) | −4.92124 | + | 1.19131i | −0.480264 | + | 0.116260i | ||||
\(106\) | 1.99507 | − | 1.26184i | 0.193779 | − | 0.122561i | ||||
\(107\) | 10.3866 | 1.00412 | 0.502058 | − | 0.864834i | \(-0.332577\pi\) | ||||
0.502058 | + | 0.864834i | \(0.332577\pi\) | |||||||
\(108\) | 4.82142 | + | 9.20619i | 0.463941 | + | 0.885866i | ||||
\(109\) | − | 5.25264i | − | 0.503112i | −0.967843 | − | 0.251556i | \(-0.919058\pi\) | ||
0.967843 | − | 0.251556i | \(-0.0809422\pi\) | |||||||
\(110\) | −0.125614 | + | 4.10746i | −0.0119768 | + | 0.391631i | ||||
\(111\) | −9.83634 | − | 8.95909i | −0.933624 | − | 0.850360i | ||||
\(112\) | −4.89023 | − | 1.85275i | −0.462083 | − | 0.175068i | ||||
\(113\) | −0.414788 | − | 0.239478i | −0.0390199 | − | 0.0225282i | 0.480363 | − | 0.877070i | \(-0.340505\pi\) |
−0.519383 | + | 0.854542i | \(0.673838\pi\) | |||||||
\(114\) | 2.37915 | − | 13.4718i | 0.222828 | − | 1.26175i | ||||
\(115\) | 4.19051 | + | 0.297743i | 0.390767 | + | 0.0277647i | ||||
\(116\) | −0.211934 | − | 2.61982i | −0.0196776 | − | 0.243244i | ||||
\(117\) | −5.94165 | − | 2.72726i | −0.549306 | − | 0.252136i | ||||
\(118\) | −9.56303 | + | 0.386177i | −0.880348 | + | 0.0355504i | ||||
\(119\) | 3.10367 | + | 5.37572i | 0.284513 | + | 0.492791i | ||||
\(120\) | 1.79942 | − | 10.8057i | 0.164264 | − | 0.986416i | ||||
\(121\) | −4.65565 | + | 8.06382i | −0.423241 | + | 0.733075i | ||||
\(122\) | −6.32673 | + | 12.0570i | −0.572796 | + | 1.09159i | ||||
\(123\) | 16.3022 | − | 5.19401i | 1.46992 | − | 0.468328i | ||||
\(124\) | −3.88660 | − | 5.62870i | −0.349027 | − | 0.505472i | ||||
\(125\) | −2.36124 | + | 10.9282i | −0.211196 | + | 0.977444i | ||||
\(126\) | −5.13024 | − | 2.10856i | −0.457038 | − | 0.187846i | ||||
\(127\) | 13.9679i | 1.23945i | 0.784818 | + | 0.619727i | \(0.212757\pi\) | ||||
−0.784818 | + | 0.619727i | \(0.787243\pi\) | |||||||
\(128\) | 7.83251 | − | 8.16405i | 0.692303 | − | 0.721607i | ||||
\(129\) | −3.03874 | + | 13.9046i | −0.267547 | + | 1.22423i | ||||
\(130\) | 3.26162 | + | 6.07059i | 0.286063 | + | 0.532426i | ||||
\(131\) | −8.36098 | − | 4.82721i | −0.730502 | − | 0.421756i | 0.0881036 | − | 0.996111i | \(-0.471919\pi\) |
−0.818606 | + | 0.574356i | \(0.805253\pi\) | |||||||
\(132\) | −2.75302 | + | 3.56164i | −0.239620 | + | 0.310001i | ||||
\(133\) | 3.65077 | + | 6.32332i | 0.316562 | + | 0.548302i | ||||
\(134\) | 0.461154 | + | 11.4197i | 0.0398377 | + | 0.986514i | ||||
\(135\) | 2.22643 | − | 11.4036i | 0.191620 | − | 0.981469i | ||||
\(136\) | −13.3311 | + | 1.62207i | −1.14313 | + | 0.139092i | ||||
\(137\) | 3.98655 | − | 2.30164i | 0.340594 | − | 0.196642i | −0.319941 | − | 0.947438i | \(-0.603663\pi\) |
0.660535 | + | 0.750796i | \(0.270330\pi\) | |||||||
\(138\) | 3.52458 | + | 2.95908i | 0.300032 | + | 0.251893i | ||||
\(139\) | −10.9075 | − | 6.29746i | −0.925164 | − | 0.534144i | −0.0398853 | − | 0.999204i | \(-0.512699\pi\) |
−0.885279 | + | 0.465060i | \(0.846033\pi\) | |||||||
\(140\) | 2.97276 | + | 5.03452i | 0.251244 | + | 0.425495i | ||||
\(141\) | −9.21208 | − | 2.01323i | −0.775797 | − | 0.169545i | ||||
\(142\) | −3.02926 | + | 1.91594i | −0.254210 | + | 0.160782i | ||||
\(143\) | − | 2.83190i | − | 0.236816i | ||||||
\(144\) | 8.54513 | − | 8.42500i | 0.712094 | − | 0.702084i | ||||
\(145\) | −1.64598 | + | 2.43438i | −0.136691 | + | 0.202164i | ||||
\(146\) | 11.0820 | + | 17.5215i | 0.917150 | + | 1.45009i | ||||
\(147\) | −8.73150 | + | 2.78192i | −0.720162 | + | 0.229449i | ||||
\(148\) | −6.58374 | + | 13.8809i | −0.541180 | + | 1.14100i | ||||
\(149\) | −15.0467 | − | 8.68721i | −1.23267 | − | 0.711684i | −0.265087 | − | 0.964225i | \(-0.585401\pi\) |
−0.967586 | + | 0.252540i | \(0.918734\pi\) | |||||||
\(150\) | −9.12213 | + | 8.17231i | −0.744819 | + | 0.667267i | ||||
\(151\) | 5.26860 | + | 9.12549i | 0.428753 | + | 0.742622i | 0.996763 | − | 0.0804000i | \(-0.0256198\pi\) |
−0.568010 | + | 0.823022i | \(0.692286\pi\) | |||||||
\(152\) | −15.6810 | + | 1.90800i | −1.27190 | + | 0.154760i | ||||
\(153\) | −14.1821 | + | 1.32675i | −1.14655 | + | 0.107261i | ||||
\(154\) | −0.0969444 | − | 2.40067i | −0.00781201 | − | 0.193451i | ||||
\(155\) | −0.542006 | + | 7.62831i | −0.0435349 | + | 0.612721i | ||||
\(156\) | −1.01183 | + | 7.48094i | −0.0810115 | + | 0.598955i | ||||
\(157\) | 7.30815 | − | 12.6581i | 0.583254 | − | 1.01022i | −0.411837 | − | 0.911258i | \(-0.635113\pi\) |
0.995091 | − | 0.0989674i | \(-0.0315540\pi\) | |||||||
\(158\) | −16.1987 | − | 8.50001i | −1.28870 | − | 0.676224i | ||||
\(159\) | −2.13745 | − | 1.94683i | −0.169511 | − | 0.154393i | ||||
\(160\) | −12.5409 | + | 1.65066i | −0.991449 | + | 0.130496i | ||||
\(161\) | −2.45624 | −0.193579 | ||||||||
\(162\) | 9.30838 | − | 8.68067i | 0.731336 | − | 0.682018i | ||||
\(163\) | −13.7411 | −1.07628 | −0.538142 | − | 0.842854i | \(-0.680874\pi\) | ||||
−0.538142 | + | 0.842854i | \(0.680874\pi\) | |||||||
\(164\) | −11.2257 | − | 16.2574i | −0.876581 | − | 1.26949i | ||||
\(165\) | 4.89166 | − | 1.18415i | 0.380815 | − | 0.0921859i | ||||
\(166\) | 4.81352 | + | 2.52582i | 0.373602 | + | 0.196041i | ||||
\(167\) | −15.5309 | − | 8.96675i | −1.20181 | − | 0.693868i | −0.240856 | − | 0.970561i | \(-0.577428\pi\) |
−0.960958 | + | 0.276693i | \(0.910761\pi\) | |||||||
\(168\) | −0.601660 | + | 6.37640i | −0.0464190 | + | 0.491950i | ||||
\(169\) | 4.12549 | + | 7.14555i | 0.317345 | + | 0.549658i | ||||
\(170\) | 12.7674 | + | 7.90121i | 0.979214 | + | 0.605995i | ||||
\(171\) | −16.6820 | + | 1.56062i | −1.27571 | + | 0.119344i | ||||
\(172\) | 16.3811 | − | 1.32517i | 1.24905 | − | 0.101043i | ||||
\(173\) | −9.07986 | − | 15.7268i | −0.690329 | − | 1.19569i | −0.971730 | − | 0.236095i | \(-0.924132\pi\) |
0.281401 | − | 0.959590i | \(-0.409201\pi\) | |||||||
\(174\) | −3.02525 | + | 1.10019i | −0.229344 | + | 0.0834050i | ||||
\(175\) | 0.924237 | − | 6.47113i | 0.0698657 | − | 0.489171i | ||||
\(176\) | 4.86083 | + | 1.84161i | 0.366399 | + | 0.138817i | ||||
\(177\) | 3.55841 | + | 11.1686i | 0.267467 | + | 0.839487i | ||||
\(178\) | −12.4299 | + | 7.86167i | −0.931663 | + | 0.589257i | ||||
\(179\) | 8.07215i | 0.603341i | 0.953412 | + | 0.301670i | \(0.0975442\pi\) | ||||
−0.953412 | + | 0.301670i | \(0.902456\pi\) | |||||||
\(180\) | −13.3452 | + | 1.38035i | −0.994693 | + | 0.102885i | ||||
\(181\) | 17.2216i | 1.28007i | 0.768345 | + | 0.640035i | \(0.221080\pi\) | ||||
−0.768345 | + | 0.640035i | \(0.778920\pi\) | |||||||
\(182\) | −2.15372 | − | 3.40521i | −0.159644 | − | 0.252411i | ||||
\(183\) | 16.2918 | + | 3.56045i | 1.20432 | + | 0.263196i | ||||
\(184\) | 2.08168 | − | 4.88928i | 0.153463 | − | 0.360442i | ||||
\(185\) | 15.4465 | − | 7.51239i | 1.13565 | − | 0.552322i | ||||
\(186\) | −5.38664 | + | 6.41608i | −0.394968 | + | 0.470450i | ||||
\(187\) | −3.08501 | − | 5.34340i | −0.225599 | − | 0.390748i | ||||
\(188\) | 0.877953 | + | 10.8528i | 0.0640313 | + | 0.791522i | ||||
\(189\) | −0.825913 | + | 6.74284i | −0.0600763 | + | 0.490470i | ||||
\(190\) | 15.0180 | + | 9.29400i | 1.08952 | + | 0.674258i | ||||
\(191\) | −4.67446 | − | 8.09640i | −0.338232 | − | 0.585835i | 0.645868 | − | 0.763449i | \(-0.276496\pi\) |
−0.984100 | + | 0.177614i | \(0.943162\pi\) | |||||||
\(192\) | −12.1827 | − | 6.60169i | −0.879209 | − | 0.476436i | ||||
\(193\) | −13.1979 | − | 7.61983i | −0.950008 | − | 0.548487i | −0.0569247 | − | 0.998378i | \(-0.518130\pi\) |
−0.893083 | + | 0.449891i | \(0.851463\pi\) | |||||||
\(194\) | −5.11298 | + | 9.74395i | −0.367091 | + | 0.699575i | ||||
\(195\) | 6.11126 | − | 5.82133i | 0.437637 | − | 0.416874i | ||||
\(196\) | 6.01250 | + | 8.70750i | 0.429464 | + | 0.621965i | ||||
\(197\) | 24.7272 | 1.76174 | 0.880869 | − | 0.473359i | \(-0.156959\pi\) | ||||
0.880869 | + | 0.473359i | \(0.156959\pi\) | |||||||
\(198\) | 5.09940 | + | 2.09589i | 0.362398 | + | 0.148948i | ||||
\(199\) | 11.0610 | 0.784093 | 0.392047 | − | 0.919945i | \(-0.371767\pi\) | ||||
0.392047 | + | 0.919945i | \(0.371767\pi\) | |||||||
\(200\) | 12.0978 | + | 7.32408i | 0.855447 | + | 0.517890i | ||||
\(201\) | 13.3371 | − | 4.24929i | 0.940725 | − | 0.299722i | ||||
\(202\) | −10.1389 | + | 19.3221i | −0.713374 | + | 1.35950i | ||||
\(203\) | 0.859058 | − | 1.48793i | 0.0602940 | − | 0.104432i | ||||
\(204\) | 6.24039 | + | 15.2177i | 0.436915 | + | 1.06546i | ||||
\(205\) | −1.56548 | + | 22.0329i | −0.109338 | + | 1.53885i | ||||
\(206\) | −27.7497 | + | 1.12059i | −1.93341 | + | 0.0780755i | ||||
\(207\) | 2.35126 | − | 5.12248i | 0.163424 | − | 0.356037i | ||||
\(208\) | 8.60355 | − | 1.40116i | 0.596549 | − | 0.0971532i | ||||
\(209\) | −3.62883 | − | 6.28531i | −0.251011 | − | 0.434764i | ||||
\(210\) | 4.98137 | − | 5.14408i | 0.343747 | − | 0.354975i | ||||
\(211\) | 6.75468 | + | 3.89982i | 0.465011 | + | 0.268474i | 0.714149 | − | 0.699994i | \(-0.246814\pi\) |
−0.249138 | + | 0.968468i | \(0.580147\pi\) | |||||||
\(212\) | −1.43066 | + | 3.01635i | −0.0982579 | + | 0.207163i | ||||
\(213\) | 3.24545 | + | 2.95600i | 0.222374 | + | 0.202542i | ||||
\(214\) | −12.4143 | + | 7.85177i | −0.848623 | + | 0.536736i | ||||
\(215\) | −15.2216 | − | 10.2919i | −1.03810 | − | 0.701901i | ||||
\(216\) | −12.7220 | − | 7.35864i | −0.865625 | − | 0.500692i | ||||
\(217\) | − | 4.47128i | − | 0.303530i | ||||||
\(218\) | 3.97073 | + | 6.27804i | 0.268932 | + | 0.425203i | ||||
\(219\) | 17.0978 | − | 18.7719i | 1.15536 | − | 1.26849i | ||||
\(220\) | −2.95489 | − | 5.00426i | −0.199219 | − | 0.337387i | ||||
\(221\) | −8.96074 | − | 5.17348i | −0.602764 | − | 0.348006i | ||||
\(222\) | 18.5292 | + | 3.27228i | 1.24360 | + | 0.219621i | ||||
\(223\) | −15.5471 | + | 8.97613i | −1.04111 | + | 0.601086i | −0.920148 | − | 0.391571i | \(-0.871932\pi\) |
−0.120964 | + | 0.992657i | \(0.538599\pi\) | |||||||
\(224\) | 7.24546 | − | 1.48232i | 0.484108 | − | 0.0990419i | ||||
\(225\) | 12.6108 | + | 8.12205i | 0.840720 | + | 0.541470i | ||||
\(226\) | 0.676794 | − | 0.0273305i | 0.0450197 | − | 0.00181800i | ||||
\(227\) | 1.12423 | + | 1.94723i | 0.0746179 | + | 0.129242i | 0.900920 | − | 0.433985i | \(-0.142893\pi\) |
−0.826302 | + | 0.563227i | \(0.809560\pi\) | |||||||
\(228\) | 7.34042 | + | 17.9003i | 0.486131 | + | 1.18547i | ||||
\(229\) | −1.83516 | − | 1.05953i | −0.121271 | − | 0.0700158i | 0.438137 | − | 0.898908i | \(-0.355638\pi\) |
−0.559408 | + | 0.828892i | \(0.688972\pi\) | |||||||
\(230\) | −5.23364 | + | 2.81194i | −0.345096 | + | 0.185414i | ||||
\(231\) | −2.80374 | + | 0.893291i | −0.184472 | + | 0.0587743i | ||||
\(232\) | 2.23376 | + | 2.97104i | 0.146653 | + | 0.195058i | ||||
\(233\) | − | 14.0086i | − | 0.917733i | −0.888505 | − | 0.458867i | \(-0.848256\pi\) | ||
0.888505 | − | 0.458867i | \(-0.151744\pi\) | |||||||
\(234\) | 9.16323 | − | 1.23191i | 0.599019 | − | 0.0805328i | ||||
\(235\) | 6.81859 | − | 10.0846i | 0.444796 | − | 0.657847i | ||||
\(236\) | 11.1380 | − | 7.69072i | 0.725019 | − | 0.500623i | ||||
\(237\) | −4.78349 | + | 21.8881i | −0.310721 | + | 1.42179i | ||||
\(238\) | −7.77332 | − | 4.07893i | −0.503870 | − | 0.264398i | ||||
\(239\) | −10.6567 | + | 18.4580i | −0.689327 | + | 1.19395i | 0.282728 | + | 0.959200i | \(0.408761\pi\) |
−0.972056 | + | 0.234750i | \(0.924573\pi\) | |||||||
\(240\) | 6.01783 | + | 14.2754i | 0.388449 | + | 0.921470i | ||||
\(241\) | −6.48483 | − | 11.2321i | −0.417725 | − | 0.723521i | 0.577985 | − | 0.816047i | \(-0.303839\pi\) |
−0.995710 | + | 0.0925265i | \(0.970506\pi\) | |||||||
\(242\) | −0.531327 | − | 13.1574i | −0.0341550 | − | 0.845792i | ||||
\(243\) | −13.2716 | − | 8.17710i | −0.851373 | − | 0.524561i | ||||
\(244\) | −1.55268 | − | 19.1934i | −0.0994002 | − | 1.22873i | ||||
\(245\) | 0.838473 | − | 11.8009i | 0.0535681 | − | 0.753930i | ||||
\(246\) | −15.5583 | + | 18.5316i | −0.991960 | + | 1.18153i | ||||
\(247\) | −10.5403 | − | 6.08544i | −0.670663 | − | 0.387207i | ||||
\(248\) | 8.90034 | + | 3.78945i | 0.565172 | + | 0.240630i | ||||
\(249\) | 1.42144 | − | 6.50416i | 0.0900798 | − | 0.412184i | ||||
\(250\) | −5.43893 | − | 14.8465i | −0.343988 | − | 0.938974i | ||||
\(251\) | − | 27.5109i | − | 1.73647i | −0.496149 | − | 0.868237i | \(-0.665253\pi\) | ||
0.496149 | − | 0.868237i | \(-0.334747\pi\) | |||||||
\(252\) | 7.72571 | − | 1.35801i | 0.486674 | − | 0.0855464i | ||||
\(253\) | 2.44147 | 0.153494 | ||||||||
\(254\) | −10.5590 | − | 16.6947i | −0.662533 | − | 1.04752i | ||||
\(255\) | 5.18946 | − | 17.6415i | 0.324977 | − | 1.10475i | ||||
\(256\) | −3.18994 | + | 15.6788i | −0.199371 | + | 0.979924i | ||||
\(257\) | 17.4308 | + | 10.0637i | 1.08730 | + | 0.627755i | 0.932857 | − | 0.360246i | \(-0.117307\pi\) |
0.154447 | + | 0.988001i | \(0.450641\pi\) | |||||||
\(258\) | −6.87920 | − | 18.9161i | −0.428280 | − | 1.17767i | ||||
\(259\) | −8.69711 | + | 5.02128i | −0.540412 | + | 0.312007i | ||||
\(260\) | −8.48740 | − | 4.79005i | −0.526366 | − | 0.297066i | ||||
\(261\) | 2.28074 | + | 3.21590i | 0.141174 | + | 0.199060i | ||||
\(262\) | 13.6423 | − | 0.550907i | 0.842824 | − | 0.0340352i | ||||
\(263\) | −6.29499 | + | 3.63441i | −0.388165 | + | 0.224107i | −0.681365 | − | 0.731944i | \(-0.738613\pi\) |
0.293200 | + | 0.956051i | \(0.405280\pi\) | |||||||
\(264\) | 0.598043 | − | 6.33807i | 0.0368070 | − | 0.390081i | ||||
\(265\) | 3.35656 | − | 1.63245i | 0.206192 | − | 0.100281i | ||||
\(266\) | −9.14357 | − | 4.79794i | −0.560628 | − | 0.294181i | ||||
\(267\) | 13.3170 | + | 12.1293i | 0.814988 | + | 0.742304i | ||||
\(268\) | −9.18390 | − | 13.3004i | −0.560996 | − | 0.812453i | ||||
\(269\) | 20.0503i | 1.22249i | 0.791443 | + | 0.611243i | \(0.209330\pi\) | ||||
−0.791443 | + | 0.611243i | \(0.790670\pi\) | |||||||
\(270\) | 5.95950 | + | 15.3129i | 0.362684 | + | 0.931912i | ||||
\(271\) | 2.71014 | 0.164629 | 0.0823145 | − | 0.996606i | \(-0.473769\pi\) | ||||
0.0823145 | + | 0.996606i | \(0.473769\pi\) | |||||||
\(272\) | 14.7073 | − | 12.0163i | 0.891761 | − | 0.728596i | ||||
\(273\) | −3.32286 | + | 3.64822i | −0.201108 | + | 0.220800i | ||||
\(274\) | −3.02487 | + | 5.76458i | −0.182739 | + | 0.348251i | ||||
\(275\) | −0.918681 | + | 6.43223i | −0.0553985 | + | 0.387878i | ||||
\(276\) | −6.44955 | − | 0.872333i | −0.388217 | − | 0.0525083i | ||||
\(277\) | −6.00627 | − | 10.4032i | −0.360882 | − | 0.625066i | 0.627224 | − | 0.778839i | \(-0.284191\pi\) |
−0.988106 | + | 0.153773i | \(0.950858\pi\) | |||||||
\(278\) | 17.7974 | − | 0.718700i | 1.06742 | − | 0.0431047i | ||||
\(279\) | 9.32486 | + | 4.28018i | 0.558265 | + | 0.256248i | ||||
\(280\) | −7.35893 | − | 3.77009i | −0.439780 | − | 0.225306i | ||||
\(281\) | −2.63275 | − | 4.56005i | −0.157056 | − | 0.272030i | 0.776750 | − | 0.629810i | \(-0.216867\pi\) |
−0.933806 | + | 0.357780i | \(0.883534\pi\) | |||||||
\(282\) | 12.5323 | − | 4.55761i | 0.746289 | − | 0.271402i | ||||
\(283\) | 1.31473 | − | 2.27718i | 0.0781527 | − | 0.135364i | −0.824300 | − | 0.566153i | \(-0.808431\pi\) |
0.902453 | + | 0.430788i | \(0.141764\pi\) | |||||||
\(284\) | 2.17227 | − | 4.57993i | 0.128900 | − | 0.271769i | ||||
\(285\) | 6.10423 | − | 20.7513i | 0.361584 | − | 1.22920i | ||||
\(286\) | 2.14077 | + | 3.38474i | 0.126587 | + | 0.200144i | ||||
\(287\) | − | 12.9144i | − | 0.762315i | ||||||
\(288\) | −3.84441 | + | 16.5294i | −0.226534 | + | 0.974003i | ||||
\(289\) | −5.54352 | −0.326090 | ||||||||
\(290\) | 0.127033 | − | 4.15389i | 0.00745966 | − | 0.243925i | ||||
\(291\) | 13.1663 | + | 2.87740i | 0.771822 | + | 0.168676i | ||||
\(292\) | −26.4907 | − | 12.5646i | −1.55025 | − | 0.735286i | ||||
\(293\) | −7.27501 | + | 12.6007i | −0.425011 | + | 0.736140i | −0.996421 | − | 0.0845239i | \(-0.973063\pi\) |
0.571411 | + | 0.820664i | \(0.306396\pi\) | |||||||
\(294\) | 8.33304 | − | 9.92556i | 0.485993 | − | 0.578870i | ||||
\(295\) | −15.0947 | − | 1.07251i | −0.878850 | − | 0.0624439i | ||||
\(296\) | −2.62427 | − | 21.5677i | −0.152533 | − | 1.25359i | ||||
\(297\) | 0.820948 | − | 6.70231i | 0.0476363 | − | 0.388908i | ||||
\(298\) | 24.5511 | − | 0.991431i | 1.42221 | − | 0.0574320i | ||||
\(299\) | 3.54575 | − | 2.04714i | 0.205056 | − | 0.118389i | ||||
\(300\) | 4.72507 | − | 16.6635i | 0.272802 | − | 0.962070i | ||||
\(301\) | 9.30367 | + | 5.37148i | 0.536254 | + | 0.309607i | ||||
\(302\) | −13.1955 | − | 6.92414i | −0.759317 | − | 0.398439i | ||||
\(303\) | 26.1085 | + | 5.70582i | 1.49989 | + | 0.327791i | ||||
\(304\) | 17.2998 | − | 14.1345i | 0.992213 | − | 0.810670i | ||||
\(305\) | −12.0588 | + | 17.8349i | −0.690488 | + | 1.02122i | ||||
\(306\) | 15.9477 | − | 12.3067i | 0.911669 | − | 0.703526i | ||||
\(307\) | −23.7833 | −1.35738 | −0.678691 | − | 0.734424i | \(-0.737453\pi\) | ||||
−0.678691 | + | 0.734424i | \(0.737453\pi\) | |||||||
\(308\) | 1.93065 | + | 2.79603i | 0.110009 | + | 0.159319i | ||||
\(309\) | 10.3257 | + | 32.4088i | 0.587407 | + | 1.84367i | ||||
\(310\) | −5.11880 | − | 9.52721i | −0.290728 | − | 0.541109i | ||||
\(311\) | −9.10950 | + | 15.7781i | −0.516553 | + | 0.894695i | 0.483263 | + | 0.875475i | \(0.339452\pi\) |
−0.999815 | + | 0.0192198i | \(0.993882\pi\) | |||||||
\(312\) | −4.44585 | − | 9.70624i | −0.251697 | − | 0.549507i | ||||
\(313\) | −8.34962 | + | 4.82065i | −0.471948 | + | 0.272479i | −0.717055 | − | 0.697017i | \(-0.754510\pi\) |
0.245107 | + | 0.969496i | \(0.421177\pi\) | |||||||
\(314\) | 0.834044 | + | 20.6537i | 0.0470678 | + | 1.16556i | ||||
\(315\) | −7.69115 | − | 4.21421i | −0.433347 | − | 0.237444i | ||||
\(316\) | 25.7865 | − | 2.08604i | 1.45061 | − | 0.117349i | ||||
\(317\) | 8.21914 | + | 14.2360i | 0.461633 | + | 0.799571i | 0.999043 | − | 0.0437499i | \(-0.0139305\pi\) |
−0.537410 | + | 0.843321i | \(0.680597\pi\) | |||||||
\(318\) | 4.02642 | + | 0.711073i | 0.225790 | + | 0.0398750i | ||||
\(319\) | −0.853894 | + | 1.47899i | −0.0478089 | + | 0.0828074i | ||||
\(320\) | 13.7413 | − | 11.4532i | 0.768164 | − | 0.640253i | ||||
\(321\) | 13.3003 | + | 12.1141i | 0.742348 | + | 0.676142i | ||||
\(322\) | 2.93573 | − | 1.85679i | 0.163602 | − | 0.103475i | ||||
\(323\) | −26.5174 | −1.47547 | ||||||||
\(324\) | −4.56339 | + | 17.4119i | −0.253522 | + | 0.967330i | ||||
\(325\) | 4.05913 | + | 10.1118i | 0.225160 | + | 0.560903i | ||||
\(326\) | 16.4236 | − | 10.3876i | 0.909617 | − | 0.575313i | ||||
\(327\) | 6.12622 | − | 6.72608i | 0.338781 | − | 0.371953i | ||||
\(328\) | 25.7069 | + | 10.9451i | 1.41943 | + | 0.604342i | ||||
\(329\) | −3.55871 | + | 6.16387i | −0.196198 | + | 0.339825i | ||||
\(330\) | −4.95143 | + | 5.11316i | −0.272567 | + | 0.281470i | ||||
\(331\) | 26.5877 | − | 15.3504i | 1.46139 | − | 0.843734i | 0.462315 | − | 0.886716i | \(-0.347019\pi\) |
0.999076 | + | 0.0429819i | \(0.0136858\pi\) | |||||||
\(332\) | −7.66258 | + | 0.619876i | −0.420539 | + | 0.0340201i | ||||
\(333\) | −2.14648 | − | 22.9445i | −0.117626 | − | 1.25735i | ||||
\(334\) | 25.3411 | − | 1.02333i | 1.38661 | − | 0.0559943i | ||||
\(335\) | −1.28074 | + | 18.0254i | −0.0699744 | + | 0.984835i | ||||
\(336\) | −4.10112 | − | 8.07600i | −0.223734 | − | 0.440582i | ||||
\(337\) | −4.15837 | − | 2.40084i | −0.226521 | − | 0.130782i | 0.382445 | − | 0.923978i | \(-0.375082\pi\) |
−0.608966 | + | 0.793196i | \(0.708415\pi\) | |||||||
\(338\) | −10.3325 | − | 5.42183i | −0.562015 | − | 0.294908i | ||||
\(339\) | −0.251836 | − | 0.790427i | −0.0136778 | − | 0.0429301i | ||||
\(340\) | −21.2327 | + | 0.207833i | −1.15150 | + | 0.0112713i | ||||
\(341\) | 4.44440i | 0.240678i | ||||||||
\(342\) | 18.7589 | − | 14.4760i | 1.01436 | − | 0.782775i | ||||
\(343\) | 16.0685i | 0.867618i | ||||||||
\(344\) | −18.5772 | + | 13.9671i | −1.00161 | + | 0.753056i | ||||
\(345\) | 5.01875 | + | 5.26871i | 0.270200 | + | 0.283658i | ||||
\(346\) | 22.7410 | + | 11.9330i | 1.22257 | + | 0.641522i | ||||
\(347\) | 11.0199 | − | 19.0870i | 0.591578 | − | 1.02464i | −0.402442 | − | 0.915446i | \(-0.631838\pi\) |
0.994020 | − | 0.109198i | \(-0.0348282\pi\) | |||||||
\(348\) | 2.78414 | − | 3.60190i | 0.149246 | − | 0.193082i | ||||
\(349\) | 22.3432 | − | 12.8998i | 1.19600 | − | 0.690512i | 0.236340 | − | 0.971670i | \(-0.424052\pi\) |
0.959661 | + | 0.281158i | \(0.0907186\pi\) | |||||||
\(350\) | 3.78718 | + | 8.43307i | 0.202433 | + | 0.450766i | ||||
\(351\) | −4.42753 | − | 10.4221i | −0.236324 | − | 0.556292i | ||||
\(352\) | −7.20191 | + | 1.47341i | −0.383863 | + | 0.0785331i | ||||
\(353\) | −0.0526051 | + | 0.0303716i | −0.00279989 | + | 0.00161652i | −0.501399 | − | 0.865216i | \(-0.667181\pi\) |
0.498599 | + | 0.866833i | \(0.333848\pi\) | |||||||
\(354\) | −12.6960 | − | 10.6590i | −0.674784 | − | 0.566518i | ||||
\(355\) | −5.09650 | + | 2.47867i | −0.270494 | + | 0.131554i | ||||
\(356\) | 8.91344 | − | 18.7928i | 0.472412 | − | 0.996016i | ||||
\(357\) | −2.29547 | + | 10.5035i | −0.121489 | + | 0.555906i | ||||
\(358\) | −6.10213 | − | 9.64796i | −0.322508 | − | 0.509911i | ||||
\(359\) | 1.84501 | 0.0973760 | 0.0486880 | − | 0.998814i | \(-0.484496\pi\) | ||||
0.0486880 | + | 0.998814i | \(0.484496\pi\) | |||||||
\(360\) | 14.9069 | − | 11.7381i | 0.785665 | − | 0.618653i | ||||
\(361\) | −12.1918 | −0.641672 | ||||||||
\(362\) | −13.0186 | − | 20.5835i | −0.684244 | − | 1.08185i | ||||
\(363\) | −15.3666 | + | 4.89590i | −0.806535 | + | 0.256968i | ||||
\(364\) | 5.14832 | + | 2.44186i | 0.269845 | + | 0.127988i | ||||
\(365\) | 14.3368 | + | 29.4786i | 0.750424 | + | 1.54298i | ||||
\(366\) | −22.1637 | + | 8.06025i | −1.15852 | + | 0.421316i | ||||
\(367\) | 11.4440 | − | 6.60720i | 0.597372 | − | 0.344893i | −0.170635 | − | 0.985334i | \(-0.554582\pi\) |
0.768007 | + | 0.640441i | \(0.221249\pi\) | |||||||
\(368\) | 1.20799 | + | 7.41739i | 0.0629706 | + | 0.386658i | ||||
\(369\) | 26.9331 | + | 12.3625i | 1.40208 | + | 0.643565i | ||||
\(370\) | −12.7830 | + | 20.6557i | −0.664555 | + | 1.07384i | ||||
\(371\) | −1.88990 | + | 1.09113i | −0.0981185 | + | 0.0566487i | ||||
\(372\) | 1.58798 | − | 11.7406i | 0.0823327 | − | 0.608723i | ||||
\(373\) | −0.587436 | + | 1.01747i | −0.0304163 | + | 0.0526825i | −0.880833 | − | 0.473427i | \(-0.843017\pi\) |
0.850417 | + | 0.526110i | \(0.176350\pi\) | |||||||
\(374\) | 7.72660 | + | 4.05441i | 0.399533 | + | 0.209648i | ||||
\(375\) | −15.7692 | + | 11.2397i | −0.814320 | + | 0.580416i | ||||
\(376\) | −9.25350 | − | 12.3078i | −0.477213 | − | 0.634724i | ||||
\(377\) | 2.86391i | 0.147499i | ||||||||
\(378\) | −4.11010 | − | 8.68350i | −0.211401 | − | 0.446631i | ||||
\(379\) | 3.73649i | 0.191930i | 0.995385 | + | 0.0959652i | \(0.0305937\pi\) | ||||
−0.995385 | + | 0.0959652i | \(0.969406\pi\) | |||||||
\(380\) | −24.9755 | + | 0.244469i | −1.28122 | + | 0.0125410i | ||||
\(381\) | −16.2910 | + | 17.8861i | −0.834611 | + | 0.916334i | ||||
\(382\) | 11.7075 | + | 6.14330i | 0.599005 | + | 0.314319i | ||||
\(383\) | 23.5310 | + | 13.5856i | 1.20238 | + | 0.694193i | 0.961083 | − | 0.276259i | \(-0.0890948\pi\) |
0.241294 | + | 0.970452i | \(0.422428\pi\) | |||||||
\(384\) | 19.5515 | − | 1.31903i | 0.997732 | − | 0.0673117i | ||||
\(385\) | 0.269239 | − | 3.78933i | 0.0137217 | − | 0.193122i | ||||
\(386\) | 21.5346 | − | 0.869615i | 1.09608 | − | 0.0442623i | ||||
\(387\) | −20.1083 | + | 14.2609i | −1.02216 | + | 0.724922i | ||||
\(388\) | −1.25481 | − | 15.5113i | −0.0637032 | − | 0.787466i | ||||
\(389\) | −5.93814 | + | 3.42839i | −0.301076 | + | 0.173826i | −0.642926 | − | 0.765928i | \(-0.722280\pi\) |
0.341850 | + | 0.939754i | \(0.388946\pi\) | |||||||
\(390\) | −2.90365 | + | 11.5775i | −0.147032 | + | 0.586252i | ||||
\(391\) | 4.46022 | − | 7.72533i | 0.225563 | − | 0.390687i | ||||
\(392\) | −13.7687 | − | 5.86221i | −0.695423 | − | 0.296086i | ||||
\(393\) | −5.07632 | − | 15.9328i | −0.256066 | − | 0.803705i | ||||
\(394\) | −29.5543 | + | 18.6925i | −1.48893 | + | 0.941714i | ||||
\(395\) | −23.9613 | − | 16.2011i | −1.20562 | − | 0.815168i | ||||
\(396\) | −7.67927 | + | 1.34984i | −0.385898 | + | 0.0678322i | ||||
\(397\) | −16.2588 | −0.816004 | −0.408002 | − | 0.912981i | \(-0.633774\pi\) | ||||
−0.408002 | + | 0.912981i | \(0.633774\pi\) | |||||||
\(398\) | −13.2203 | + | 8.36154i | −0.662673 | + | 0.419126i | ||||
\(399\) | −2.70010 | + | 12.3550i | −0.135174 | + | 0.618526i | ||||
\(400\) | −19.9962 | + | 0.391496i | −0.999808 | + | 0.0195748i | ||||
\(401\) | −8.07734 | + | 13.9904i | −0.403363 | + | 0.698646i | −0.994129 | − | 0.108197i | \(-0.965492\pi\) |
0.590766 | + | 0.806843i | \(0.298826\pi\) | |||||||
\(402\) | −12.7284 | + | 15.1610i | −0.634837 | + | 0.756160i | ||||
\(403\) | 3.72657 | + | 6.45461i | 0.185634 | + | 0.321527i | ||||
\(404\) | −2.48826 | − | 30.7586i | −0.123796 | − | 1.53030i | ||||
\(405\) | 16.1512 | − | 12.0058i | 0.802558 | − | 0.596574i | ||||
\(406\) | 0.0980402 | + | 2.42780i | 0.00486565 | + | 0.120490i | ||||
\(407\) | 8.64483 | − | 4.99109i | 0.428508 | − | 0.247399i | ||||
\(408\) | −18.9624 | − | 13.4711i | −0.938781 | − | 0.666918i | ||||
\(409\) | −0.502385 | + | 0.870157i | −0.0248414 | + | 0.0430265i | −0.878179 | − | 0.478332i | \(-0.841241\pi\) |
0.853337 | + | 0.521359i | \(0.174575\pi\) | |||||||
\(410\) | −14.7847 | − | 27.5175i | −0.730163 | − | 1.35899i | ||||
\(411\) | 7.78926 | + | 1.70228i | 0.384216 | + | 0.0839675i | ||||
\(412\) | 32.3197 | − | 22.3167i | 1.59228 | − | 1.09946i | ||||
\(413\) | 8.84767 | 0.435365 | ||||||||
\(414\) | 1.06207 | + | 7.89990i | 0.0521980 | + | 0.388259i | ||||
\(415\) | 7.12021 | + | 4.81425i | 0.349517 | + | 0.236322i | ||||
\(416\) | −9.22390 | + | 8.17854i | −0.452239 | + | 0.400986i | ||||
\(417\) | −6.62243 | − | 20.7856i | −0.324302 | − | 1.01787i | ||||
\(418\) | 9.08861 | + | 4.76910i | 0.444538 | + | 0.233264i | ||||
\(419\) | 30.9697 | + | 17.8804i | 1.51297 | + | 0.873514i | 0.999885 | + | 0.0151767i | \(0.00483108\pi\) |
0.513086 | + | 0.858337i | \(0.328502\pi\) | |||||||
\(420\) | −2.06516 | + | 9.91395i | −0.100769 | + | 0.483751i | ||||
\(421\) | −18.9979 | + | 10.9684i | −0.925900 | + | 0.534568i | −0.885512 | − | 0.464616i | \(-0.846192\pi\) |
−0.0403871 | + | 0.999184i | \(0.512859\pi\) | |||||||
\(422\) | −11.0214 | + | 0.445067i | −0.536511 | + | 0.0216655i | ||||
\(423\) | −9.44814 | − | 13.3221i | −0.459384 | − | 0.647744i | ||||
\(424\) | −0.570258 | − | 4.68669i | −0.0276942 | − | 0.227606i | ||||
\(425\) | 18.6746 | + | 14.6577i | 0.905852 | + | 0.711001i | ||||
\(426\) | −6.11359 | − | 1.07967i | −0.296205 | − | 0.0523102i | ||||
\(427\) | 6.29367 | − | 10.9010i | 0.304572 | − | 0.527534i | ||||
\(428\) | 8.90222 | − | 18.7691i | 0.430305 | − | 0.907240i | ||||
\(429\) | 3.30288 | − | 3.62629i | 0.159465 | − | 0.175079i | ||||
\(430\) | 25.9732 | + | 0.794309i | 1.25254 | + | 0.0383050i | ||||
\(431\) | 11.7024 | 0.563684 | 0.281842 | − | 0.959461i | \(-0.409055\pi\) | ||||
0.281842 | + | 0.959461i | \(0.409055\pi\) | |||||||
\(432\) | 20.7683 | − | 0.822047i | 0.999218 | − | 0.0395507i | ||||
\(433\) | − | 18.5776i | − | 0.892781i | −0.894838 | − | 0.446391i | \(-0.852709\pi\) | ||
0.894838 | − | 0.446391i | \(-0.147291\pi\) | |||||||
\(434\) | 3.38006 | + | 5.34415i | 0.162248 | + | 0.256527i | ||||
\(435\) | −4.94695 | + | 1.19753i | −0.237188 | + | 0.0574174i | ||||
\(436\) | −9.49175 | − | 4.50195i | −0.454573 | − | 0.215604i | ||||
\(437\) | 5.24645 | − | 9.08711i | 0.250972 | − | 0.434696i | ||||
\(438\) | −6.24491 | + | 35.3615i | −0.298393 | + | 1.68964i | ||||
\(439\) | −14.4599 | − | 25.0453i | −0.690135 | − | 1.19535i | −0.971793 | − | 0.235834i | \(-0.924218\pi\) |
0.281658 | − | 0.959515i | \(-0.409116\pi\) | |||||||
\(440\) | 7.31470 | + | 3.74743i | 0.348715 | + | 0.178651i | ||||
\(441\) | −14.4254 | − | 6.62136i | −0.686923 | − | 0.315303i | ||||
\(442\) | 14.6209 | − | 0.590425i | 0.695446 | − | 0.0280837i | ||||
\(443\) | 8.60211 | + | 14.8993i | 0.408699 | + | 0.707887i | 0.994744 | − | 0.102391i | \(-0.0326494\pi\) |
−0.586046 | + | 0.810278i | \(0.699316\pi\) | |||||||
\(444\) | −24.6200 | + | 10.0960i | −1.16842 | + | 0.479136i | ||||
\(445\) | −20.9124 | + | 10.1707i | −0.991344 | + | 0.482138i | ||||
\(446\) | 11.7967 | − | 22.4812i | 0.558589 | − | 1.06452i | ||||
\(447\) | −9.13550 | − | 28.6732i | −0.432095 | − | 1.35620i | ||||
\(448\) | −7.53933 | + | 7.24889i | −0.356200 | + | 0.342478i | ||||
\(449\) | −12.6078 | −0.595001 | −0.297500 | − | 0.954722i | \(-0.596153\pi\) | ||||
−0.297500 | + | 0.954722i | \(0.596153\pi\) | |||||||
\(450\) | −21.2125 | − | 0.174488i | −0.999966 | − | 0.00822543i | ||||
\(451\) | 12.8368i | 0.604462i | ||||||||
\(452\) | −0.788255 | + | 0.544287i | −0.0370764 | + | 0.0256011i | ||||
\(453\) | −3.89665 | + | 17.8302i | −0.183080 | + | 0.837734i | ||||
\(454\) | −2.81570 | − | 1.47749i | −0.132147 | − | 0.0693423i | ||||
\(455\) | −2.78629 | − | 5.72900i | −0.130623 | − | 0.268580i | ||||
\(456\) | −22.3051 | − | 15.8457i | −1.04453 | − | 0.742043i | ||||
\(457\) | −3.27554 | + | 1.89113i | −0.153223 | + | 0.0884635i | −0.574651 | − | 0.818398i | \(-0.694862\pi\) |
0.421428 | + | 0.906862i | \(0.361529\pi\) | |||||||
\(458\) | 2.99437 | − | 0.120919i | 0.139918 | − | 0.00565019i | ||||
\(459\) | −19.7078 | − | 14.8418i | −0.919879 | − | 0.692757i | ||||
\(460\) | 4.12965 | − | 7.31725i | 0.192546 | − | 0.341168i | ||||
\(461\) | 0.962364 | − | 0.555621i | 0.0448217 | − | 0.0258778i | −0.477422 | − | 0.878674i | \(-0.658429\pi\) |
0.522243 | + | 0.852796i | \(0.325095\pi\) | |||||||
\(462\) | 2.67579 | − | 3.18716i | 0.124489 | − | 0.148280i | ||||
\(463\) | 19.6806 | + | 11.3626i | 0.914634 | + | 0.528064i | 0.881919 | − | 0.471400i | \(-0.156251\pi\) |
0.0327149 | + | 0.999465i | \(0.489585\pi\) | |||||||
\(464\) | −4.91577 | − | 1.86243i | −0.228209 | − | 0.0864611i | ||||
\(465\) | −9.59104 | + | 9.13602i | −0.444774 | + | 0.423673i | ||||
\(466\) | 10.5898 | + | 16.7433i | 0.490562 | + | 0.775618i | ||||
\(467\) | 3.30323 | 0.152855 | 0.0764276 | − | 0.997075i | \(-0.475649\pi\) | ||||
0.0764276 | + | 0.997075i | \(0.475649\pi\) | |||||||
\(468\) | −10.0208 | + | 8.39934i | −0.463211 | + | 0.388259i | ||||
\(469\) | − | 10.5655i | − | 0.487869i | ||||||
\(470\) | −0.526246 | + | 17.2078i | −0.0242739 | + | 0.793736i | ||||
\(471\) | 24.1215 | − | 7.68527i | 1.11146 | − | 0.354119i | ||||
\(472\) | −7.49847 | + | 17.6118i | −0.345145 | + | 0.810649i | ||||
\(473\) | −9.24774 | − | 5.33919i | −0.425212 | − | 0.245496i | ||||
\(474\) | −10.8290 | − | 29.7771i | −0.497393 | − | 1.36771i | ||||
\(475\) | 21.9665 | + | 17.2414i | 1.00789 | + | 0.791092i | ||||
\(476\) | 12.3743 | − | 1.00103i | 0.567173 | − | 0.0458823i | ||||
\(477\) | −0.466433 | − | 4.98588i | −0.0213565 | − | 0.228288i | ||||
\(478\) | −1.21620 | − | 30.1173i | −0.0556279 | − | 1.37753i | ||||
\(479\) | −2.16563 | − | 3.75098i | −0.0989502 | − | 0.171387i | 0.812300 | − | 0.583240i | \(-0.198215\pi\) |
−0.911250 | + | 0.411853i | \(0.864882\pi\) | |||||||
\(480\) | −17.9840 | − | 12.5130i | −0.820855 | − | 0.571136i | ||||
\(481\) | 8.36992 | − | 14.4971i | 0.381636 | − | 0.661012i | ||||
\(482\) | 16.2416 | + | 8.52254i | 0.739786 | + | 0.388191i | ||||
\(483\) | −3.14525 | − | 2.86474i | −0.143114 | − | 0.130350i | ||||
\(484\) | 10.5814 | + | 15.3243i | 0.480973 | + | 0.696561i | ||||
\(485\) | −9.74542 | + | 14.4134i | −0.442517 | + | 0.654477i | ||||
\(486\) | 22.0439 | − | 0.259236i | 0.999931 | − | 0.0117592i | ||||
\(487\) | − | 2.96062i | − | 0.134158i | −0.997748 | − | 0.0670792i | \(-0.978632\pi\) | ||
0.997748 | − | 0.0670792i | \(-0.0213680\pi\) | |||||||
\(488\) | 16.3650 | + | 21.7666i | 0.740811 | + | 0.985326i | ||||
\(489\) | −17.5957 | − | 16.0264i | −0.795703 | − | 0.724739i | ||||
\(490\) | 7.91869 | + | 14.7384i | 0.357730 | + | 0.665814i | ||||
\(491\) | 12.6421 | + | 7.29891i | 0.570529 | + | 0.329395i | 0.757361 | − | 0.652997i | \(-0.226488\pi\) |
−0.186831 | + | 0.982392i | \(0.559822\pi\) | |||||||
\(492\) | 4.58657 | − | 33.9106i | 0.206778 | − | 1.52881i | ||||
\(493\) | 3.11988 | + | 5.40380i | 0.140513 | + | 0.243375i | ||||
\(494\) | 17.1982 | − | 0.694503i | 0.773784 | − | 0.0312472i | ||||
\(495\) | 7.64492 | + | 4.18888i | 0.343614 | + | 0.188276i | ||||
\(496\) | −13.5025 | + | 2.19899i | −0.606278 | + | 0.0987376i | ||||
\(497\) | 2.86956 | − | 1.65674i | 0.128717 | − | 0.0743150i | ||||
\(498\) | 3.21789 | + | 8.84841i | 0.144197 | + | 0.396507i | ||||
\(499\) | −19.8379 | − | 11.4534i | −0.888068 | − | 0.512726i | −0.0147578 | − | 0.999891i | \(-0.504698\pi\) |
−0.873310 | + | 0.487165i | \(0.838031\pi\) | |||||||
\(500\) | 17.7239 | + | 13.6332i | 0.792636 | + | 0.609695i | ||||
\(501\) | −9.42946 | − | 29.5959i | −0.421277 | − | 1.32225i | ||||
\(502\) | 20.7968 | + | 32.8815i | 0.928209 | + | 1.46757i | ||||
\(503\) | 28.6551i | 1.27767i | 0.769345 | + | 0.638833i | \(0.220583\pi\) | ||||
−0.769345 | + | 0.638833i | \(0.779417\pi\) | |||||||
\(504\) | −8.20731 | + | 7.46335i | −0.365583 | + | 0.332444i | ||||
\(505\) | −19.3250 | + | 28.5814i | −0.859951 | + | 1.27186i | ||||
\(506\) | −2.91809 | + | 1.84563i | −0.129725 | + | 0.0820481i | ||||
\(507\) | −3.05120 | + | 13.9616i | −0.135509 | + | 0.620056i | ||||
\(508\) | 25.2407 | + | 11.9717i | 1.11987 | + | 0.531157i | ||||
\(509\) | −33.6466 | − | 19.4259i | −1.49136 | − | 0.861038i | −0.491410 | − | 0.870928i | \(-0.663518\pi\) |
−0.999951 | + | 0.00989035i | \(0.996852\pi\) | |||||||
\(510\) | 7.13354 | + | 25.0084i | 0.315878 | + | 1.10739i | ||||
\(511\) | −9.58273 | − | 16.5978i | −0.423915 | − | 0.734243i | ||||
\(512\) | −8.03969 | − | 21.1510i | −0.355307 | − | 0.934749i | ||||
\(513\) | −23.1818 | − | 17.4581i | −1.02350 | − | 0.770792i | ||||
\(514\) | −28.4412 | + | 1.14852i | −1.25449 | + | 0.0506591i | ||||
\(515\) | −43.8014 | − | 3.11217i | −1.93012 | − | 0.137139i | ||||
\(516\) | 22.5218 | + | 17.4085i | 0.991465 | + | 0.766368i | ||||
\(517\) | 3.53732 | − | 6.12682i | 0.155571 | − | 0.269457i | ||||
\(518\) | 6.59910 | − | 12.5761i | 0.289948 | − | 0.552561i | ||||
\(519\) | 6.71544 | − | 30.7283i | 0.294775 | − | 1.34882i | ||||
\(520\) | 13.7653 | − | 0.690887i | 0.603649 | − | 0.0302974i | ||||
\(521\) | 33.5911 | 1.47165 | 0.735826 | − | 0.677171i | \(-0.236794\pi\) | ||||
0.735826 | + | 0.677171i | \(0.236794\pi\) | |||||||
\(522\) | −5.15704 | − | 2.11958i | −0.225717 | − | 0.0927714i | ||||
\(523\) | 31.5892 | 1.38130 | 0.690650 | − | 0.723189i | \(-0.257324\pi\) | ||||
0.690650 | + | 0.723189i | \(0.257324\pi\) | |||||||
\(524\) | −15.8890 | + | 10.9713i | −0.694116 | + | 0.479285i | ||||
\(525\) | 8.73085 | − | 7.20842i | 0.381045 | − | 0.314601i | ||||
\(526\) | 4.77644 | − | 9.10259i | 0.208263 | − | 0.396892i | ||||
\(527\) | 14.0630 | + | 8.11929i | 0.612595 | + | 0.353682i | ||||
\(528\) | 4.07647 | + | 8.02746i | 0.177405 | + | 0.349350i | ||||
\(529\) | −9.73510 | − | 16.8617i | −0.423265 | − | 0.733117i | ||||
\(530\) | −2.77776 | + | 4.48852i | −0.120658 | + | 0.194969i | ||||
\(531\) | −8.46953 | + | 18.4518i | −0.367546 | + | 0.800741i | ||||
\(532\) | 14.5555 | − | 1.17749i | 0.631063 | − | 0.0510507i | ||||
\(533\) | 10.7635 | + | 18.6429i | 0.466218 | + | 0.807514i | ||||
\(534\) | −25.0859 | − | 4.43021i | −1.08557 | − | 0.191714i | ||||
\(535\) | −20.8861 | + | 10.1579i | −0.902985 | + | 0.439165i | ||||
\(536\) | 21.0312 | + | 8.95433i | 0.908409 | + | 0.386768i | ||||
\(537\) | −9.41464 | + | 10.3365i | −0.406272 | + | 0.446053i | ||||
\(538\) | −15.1570 | − | 23.9644i | −0.653463 | − | 1.03318i | ||||
\(539\) | − | 6.87541i | − | 0.296145i | ||||||
\(540\) | −18.6986 | − | 13.7971i | −0.804662 | − | 0.593734i | ||||
\(541\) | − | 5.71420i | − | 0.245673i | −0.992427 | − | 0.122836i | \(-0.960801\pi\) | ||
0.992427 | − | 0.122836i | \(-0.0391990\pi\) | |||||||
\(542\) | −3.23920 | + | 2.04872i | −0.139135 | + | 0.0880002i | ||||
\(543\) | −20.0857 | + | 22.0525i | −0.861962 | + | 0.946363i | ||||
\(544\) | −8.49467 | + | 25.4801i | −0.364206 | + | 1.09245i | ||||
\(545\) | 5.13696 | + | 10.5623i | 0.220043 | + | 0.452440i | ||||
\(546\) | 1.21366 | − | 6.87232i | 0.0519400 | − | 0.294108i | ||||
\(547\) | −11.0398 | − | 19.1216i | −0.472029 | − | 0.817579i | 0.527458 | − | 0.849581i | \(-0.323145\pi\) |
−0.999488 | + | 0.0320021i | \(0.989812\pi\) | |||||||
\(548\) | −0.742352 | − | 9.17657i | −0.0317117 | − | 0.392004i | ||||
\(549\) | 16.7093 | + | 23.5605i | 0.713134 | + | 1.00554i | ||||
\(550\) | −3.76441 | − | 8.38238i | −0.160515 | − | 0.357426i | ||||
\(551\) | 3.66984 | + | 6.35636i | 0.156341 | + | 0.270790i | ||||
\(552\) | 8.36805 | − | 3.83290i | 0.356168 | − | 0.163139i | ||||
\(553\) | 14.6455 | + | 8.45559i | 0.622791 | + | 0.359568i | ||||
\(554\) | 15.0431 | + | 7.89360i | 0.639118 | + | 0.335367i | ||||
\(555\) | 28.5413 | + | 8.39577i | 1.21151 | + | 0.356381i | ||||
\(556\) | −20.7285 | + | 14.3129i | −0.879082 | + | 0.607003i | ||||
\(557\) | 11.8720 | 0.503034 | 0.251517 | − | 0.967853i | \(-0.419071\pi\) | ||||
0.251517 | + | 0.967853i | \(0.419071\pi\) | |||||||
\(558\) | −14.3808 | + | 1.93337i | −0.608788 | + | 0.0818462i | ||||
\(559\) | −17.9073 | −0.757400 | ||||||||
\(560\) | 11.6455 | − | 1.05691i | 0.492113 | − | 0.0446625i | ||||
\(561\) | 2.28167 | − | 10.4404i | 0.0963322 | − | 0.440794i | ||||
\(562\) | 6.59386 | + | 3.46002i | 0.278145 | + | 0.145952i | ||||
\(563\) | 3.22361 | − | 5.58346i | 0.135859 | − | 0.235315i | −0.790066 | − | 0.613021i | \(-0.789954\pi\) |
0.925925 | + | 0.377707i | \(0.123287\pi\) | |||||||
\(564\) | −11.5335 | + | 14.9211i | −0.485649 | + | 0.628293i | ||||
\(565\) | 1.06828 | + | 0.0759036i | 0.0449431 | + | 0.00319329i | ||||
\(566\) | 0.150044 | + | 3.71560i | 0.00630683 | + | 0.156178i | ||||
\(567\) | −8.92185 | + | 7.67103i | −0.374683 | + | 0.322153i | ||||
\(568\) | 0.865863 | + | 7.11613i | 0.0363308 | + | 0.298586i | ||||
\(569\) | 6.39879 | + | 11.0830i | 0.268251 | + | 0.464625i | 0.968410 | − | 0.249362i | \(-0.0802209\pi\) |
−0.700159 | + | 0.713987i | \(0.746888\pi\) | |||||||
\(570\) | 8.39101 | + | 29.4167i | 0.351461 | + | 1.23213i | ||||
\(571\) | 16.4227 | + | 9.48165i | 0.687269 | + | 0.396795i | 0.802588 | − | 0.596534i | \(-0.203456\pi\) |
−0.115319 | + | 0.993328i | \(0.536789\pi\) | |||||||
\(572\) | −5.11738 | − | 2.42718i | −0.213968 | − | 0.101485i | ||||
\(573\) | 3.45722 | − | 15.8194i | 0.144427 | − | 0.660866i | ||||
\(574\) | 9.76266 | + | 15.4356i | 0.407485 | + | 0.644267i | ||||
\(575\) | −8.71772 | + | 3.49950i | −0.363554 | + | 0.145939i | ||||
\(576\) | −7.90046 | − | 22.6624i | −0.329186 | − | 0.944265i | ||||
\(577\) | − | 10.1998i | − | 0.424624i | −0.977202 | − | 0.212312i | \(-0.931901\pi\) | ||
0.977202 | − | 0.212312i | \(-0.0680994\pi\) | |||||||
\(578\) | 6.62571 | − | 4.19062i | 0.275593 | − | 0.174307i | ||||
\(579\) | −8.01304 | − | 25.1502i | −0.333011 | − | 1.04521i | ||||
\(580\) | 2.98829 | + | 5.06082i | 0.124082 | + | 0.210139i | ||||
\(581\) | −4.35198 | − | 2.51262i | −0.180551 | − | 0.104241i | ||||
\(582\) | −17.9117 | + | 6.51394i | −0.742465 | + | 0.270011i | ||||
\(583\) | 1.87854 | − | 1.08457i | 0.0778010 | − | 0.0449184i | ||||
\(584\) | 41.1603 | − | 5.00823i | 1.70322 | − | 0.207242i | ||||
\(585\) | 14.6150 | − | 0.326653i | 0.604258 | − | 0.0135055i | ||||
\(586\) | −0.830263 | − | 20.5601i | −0.0342978 | − | 0.849329i | ||||
\(587\) | 21.5066 | + | 37.2505i | 0.887671 | + | 1.53749i | 0.842621 | + | 0.538507i | \(0.181011\pi\) |
0.0450502 | + | 0.998985i | \(0.485655\pi\) | |||||||
\(588\) | −2.45657 | + | 18.1625i | −0.101307 | + | 0.749010i | ||||
\(589\) | 16.5420 | + | 9.55052i | 0.681601 | + | 0.393522i | ||||
\(590\) | 18.8522 | − | 10.1290i | 0.776135 | − | 0.417003i | ||||
\(591\) | 31.6635 | + | 28.8396i | 1.30246 | + | 1.18630i | ||||
\(592\) | 19.4406 | + | 23.7942i | 0.799004 | + | 0.977936i | ||||
\(593\) | 14.6922i | 0.603335i | 0.953413 | + | 0.301667i | \(0.0975432\pi\) | ||||
−0.953413 | + | 0.301667i | \(0.902457\pi\) | |||||||
\(594\) | 4.08539 | + | 8.63130i | 0.167626 | + | 0.354147i | ||||
\(595\) | −11.4984 | − | 7.77450i | −0.471388 | − | 0.318723i | ||||
\(596\) | −28.5945 | + | 19.7444i | −1.17127 | + | 0.808761i | ||||
\(597\) | 14.1638 | + | 12.9006i | 0.579684 | + | 0.527985i | ||||
\(598\) | −2.69041 | + | 5.12718i | −0.110019 | + | 0.209666i | ||||
\(599\) | 11.9688 | − | 20.7306i | 0.489034 | − | 0.847031i | −0.510887 | − | 0.859648i | \(-0.670683\pi\) |
0.999920 | + | 0.0126170i | \(0.00401623\pi\) | |||||||
\(600\) | 6.94930 | + | 23.4884i | 0.283704 | + | 0.958912i | ||||
\(601\) | 4.45287 | + | 7.71260i | 0.181636 | + | 0.314603i | 0.942438 | − | 0.334381i | \(-0.108527\pi\) |
−0.760802 | + | 0.648985i | \(0.775194\pi\) | |||||||
\(602\) | −15.1805 | + | 0.613021i | −0.618709 | + | 0.0249849i | ||||
\(603\) | 22.0343 | + | 10.1139i | 0.897307 | + | 0.411871i | ||||
\(604\) | 21.0058 | − | 1.69929i | 0.854714 | − | 0.0691433i | ||||
\(605\) | 1.47563 | − | 20.7683i | 0.0599928 | − | 0.844353i | ||||
\(606\) | −35.5186 | + | 12.9170i | −1.44285 | + | 0.524718i | ||||
\(607\) | −20.8881 | − | 12.0597i | −0.847821 | − | 0.489490i | 0.0120937 | − | 0.999927i | \(-0.496150\pi\) |
−0.859915 | + | 0.510437i | \(0.829484\pi\) | |||||||
\(608\) | −9.99208 | + | 29.9716i | −0.405232 | + | 1.21551i | ||||
\(609\) | 2.83543 | − | 0.903388i | 0.114897 | − | 0.0366071i | ||||
\(610\) | 0.930679 | − | 30.4324i | 0.0376821 | − | 1.23217i | ||||
\(611\) | − | 11.8640i | − | 0.479965i | ||||||
\(612\) | −9.75774 | + | 26.7648i | −0.394433 | + | 1.08190i | ||||
\(613\) | 0.542323 | 0.0219042 | 0.0109521 | − | 0.999940i | \(-0.496514\pi\) | ||||
0.0109521 | + | 0.999940i | \(0.496514\pi\) | |||||||
\(614\) | 28.4261 | − | 17.9789i | 1.14719 | − | 0.725570i | ||||
\(615\) | −27.7019 | + | 26.3876i | −1.11705 | + | 1.06405i | ||||
\(616\) | −4.42120 | − | 1.88239i | −0.178135 | − | 0.0758437i | ||||
\(617\) | −6.87191 | − | 3.96750i | −0.276653 | − | 0.159726i | 0.355254 | − | 0.934770i | \(-0.384394\pi\) |
−0.631907 | + | 0.775044i | \(0.717728\pi\) | |||||||
\(618\) | −36.8408 | − | 30.9298i | −1.48195 | − | 1.24418i | ||||
\(619\) | −36.5733 | + | 21.1156i | −1.47000 | + | 0.848707i | −0.999433 | − | 0.0336559i | \(-0.989285\pi\) |
−0.470570 | + | 0.882363i | \(0.655952\pi\) | |||||||
\(620\) | 13.3202 | + | 7.51753i | 0.534950 | + | 0.301911i | ||||
\(621\) | 8.98523 | − | 3.81711i | 0.360565 | − | 0.153175i | ||||
\(622\) | −1.03962 | − | 25.7446i | −0.0416851 | − | 1.03226i | ||||
\(623\) | 11.7746 | − | 6.79810i | 0.471741 | − | 0.272360i | ||||
\(624\) | 12.6512 | + | 8.24022i | 0.506452 | + | 0.329873i | ||||
\(625\) | −5.93937 | − | 24.2842i | −0.237575 | − | 0.971369i | ||||
\(626\) | 6.33543 | − | 12.0736i | 0.253215 | − | 0.482558i | ||||
\(627\) | 2.68387 | − | 12.2808i | 0.107184 | − | 0.490447i | ||||
\(628\) | −16.6100 | − | 24.0552i | −0.662812 | − | 0.959906i | ||||
\(629\) | − | 36.4721i | − | 1.45424i | ||||||
\(630\) | 12.3783 | − | 0.777228i | 0.493164 | − | 0.0309655i | ||||
\(631\) | −20.8270 | −0.829112 | −0.414556 | − | 0.910024i | \(-0.636063\pi\) | ||||
−0.414556 | + | 0.910024i | \(0.636063\pi\) | |||||||
\(632\) | −29.2435 | + | 21.9866i | −1.16325 | + | 0.874578i | ||||
\(633\) | 4.10106 | + | 12.8718i | 0.163002 | + | 0.511609i | ||||
\(634\) | −20.5853 | − | 10.8018i | −0.817547 | − | 0.428995i | ||||
\(635\) | −13.6603 | − | 28.0876i | −0.542093 | − | 1.11462i | ||||
\(636\) | −5.34998 | + | 2.19388i | −0.212140 | + | 0.0869930i | ||||
\(637\) | −5.76494 | − | 9.98516i | −0.228415 | − | 0.395627i | ||||
\(638\) | −0.0974509 | − | 2.41321i | −0.00385812 | − | 0.0955399i | ||||
\(639\) | 0.708218 | + | 7.57040i | 0.0280167 | + | 0.299481i | ||||
\(640\) | −7.76583 | + | 24.0768i | −0.306971 | + | 0.951719i | ||||
\(641\) | −7.80074 | − | 13.5113i | −0.308111 | − | 0.533663i | 0.669838 | − | 0.742507i | \(-0.266363\pi\) |
−0.977949 | + | 0.208844i | \(0.933030\pi\) | |||||||
\(642\) | −25.0543 | − | 4.42463i | −0.988814 | − | 0.174626i | ||||
\(643\) | 2.58179 | − | 4.47180i | 0.101816 | − | 0.176351i | −0.810617 | − | 0.585577i | \(-0.800868\pi\) |
0.912433 | + | 0.409226i | \(0.134201\pi\) | |||||||
\(644\) | −2.10520 | + | 4.43853i | −0.0829565 | + | 0.174902i | ||||
\(645\) | −7.48788 | − | 30.9320i | −0.294835 | − | 1.21795i | ||||
\(646\) | 31.6940 | − | 20.0458i | 1.24698 | − | 0.788691i | ||||
\(647\) | 23.3690i | 0.918732i | 0.888247 | + | 0.459366i | \(0.151923\pi\) | ||||
−0.888247 | + | 0.459366i | \(0.848077\pi\) | |||||||
\(648\) | −7.70829 | − | 24.2607i | −0.302810 | − | 0.953051i | ||||
\(649\) | −8.79449 | −0.345214 | ||||||||
\(650\) | −12.4956 | − | 9.01732i | −0.490116 | − | 0.353689i | ||||
\(651\) | 5.21491 | − | 5.72554i | 0.204388 | − | 0.224401i | ||||
\(652\) | −11.7773 | + | 24.8307i | −0.461233 | + | 0.972447i | ||||
\(653\) | −5.82035 | + | 10.0811i | −0.227768 | + | 0.394506i | −0.957146 | − | 0.289605i | \(-0.906476\pi\) |
0.729378 | + | 0.684111i | \(0.239809\pi\) | |||||||
\(654\) | −2.23758 | + | 12.6702i | −0.0874964 | + | 0.495445i | ||||
\(655\) | 21.5337 | + | 1.53001i | 0.841390 | + | 0.0597823i | ||||
\(656\) | −38.9993 | + | 6.35137i | −1.52267 | + | 0.247979i | ||||
\(657\) | 43.7879 | − | 4.09639i | 1.70833 | − | 0.159816i | ||||
\(658\) | −0.406139 | − | 10.0574i | −0.0158329 | − | 0.392077i | ||||
\(659\) | −9.92811 | + | 5.73200i | −0.386744 | + | 0.223287i | −0.680748 | − | 0.732517i | \(-0.738345\pi\) |
0.294004 | + | 0.955804i | \(0.405012\pi\) | |||||||
\(660\) | 2.05275 | − | 9.85435i | 0.0799030 | − | 0.383580i | ||||
\(661\) | −29.9208 | − | 17.2748i | −1.16378 | − | 0.671911i | −0.211576 | − | 0.977362i | \(-0.567860\pi\) |
−0.952208 | + | 0.305450i | \(0.901193\pi\) | |||||||
\(662\) | −20.1739 | + | 38.4460i | −0.784081 | + | 1.49424i | ||||
\(663\) | −5.44045 | − | 17.0757i | −0.211290 | − | 0.663167i | ||||
\(664\) | 8.68985 | − | 6.53341i | 0.337232 | − | 0.253545i | ||||
\(665\) | −13.5253 | − | 9.14495i | −0.524487 | − | 0.354626i | ||||
\(666\) | 19.9104 | + | 25.8010i | 0.771511 | + | 0.999768i | ||||
\(667\) | −2.46907 | −0.0956027 | ||||||||
\(668\) | −29.5146 | + | 20.3797i | −1.14195 | + | 0.788514i | ||||
\(669\) | −30.3773 | − | 6.63873i | −1.17445 | − | 0.256668i | ||||
\(670\) | −12.0955 | − | 22.5125i | −0.467292 | − | 0.869733i | ||||
\(671\) | −6.25584 | + | 10.8354i | −0.241504 | + | 0.418297i | ||||
\(672\) | 11.0068 | + | 6.55233i | 0.424595 | + | 0.252762i | ||||
\(673\) | −23.4711 | + | 13.5511i | −0.904746 | + | 0.522355i | −0.878737 | − | 0.477306i | \(-0.841613\pi\) |
−0.0260090 | + | 0.999662i | \(0.508280\pi\) | |||||||
\(674\) | 6.78506 | − | 0.273996i | 0.261351 | − | 0.0105539i | ||||
\(675\) | 6.67546 | + | 25.1085i | 0.256939 | + | 0.966428i | ||||
\(676\) | 16.4482 | − | 1.33060i | 0.632624 | − | 0.0511770i | ||||
\(677\) | −21.3333 | − | 36.9503i | −0.819905 | − | 1.42012i | −0.905752 | − | 0.423808i | \(-0.860693\pi\) |
0.0858476 | − | 0.996308i | \(-0.472640\pi\) | |||||||
\(678\) | 0.898520 | + | 0.754356i | 0.0345075 | + | 0.0289709i | ||||
\(679\) | 5.08626 | − | 8.80967i | 0.195193 | − | 0.338084i | ||||
\(680\) | 25.2205 | − | 16.2992i | 0.967164 | − | 0.625047i | ||||
\(681\) | −0.831479 | + | 3.80466i | −0.0318623 | + | 0.145795i | ||||
\(682\) | −3.35974 | − | 5.31202i | −0.128651 | − | 0.203408i | ||||
\(683\) | 11.6809 | 0.446956 | 0.223478 | − | 0.974709i | \(-0.428259\pi\) | ||||
0.223478 | + | 0.974709i | \(0.428259\pi\) | |||||||
\(684\) | −11.4778 | + | 31.4828i | −0.438864 | + | 1.20377i | ||||
\(685\) | −5.76545 | + | 8.52703i | −0.220287 | + | 0.325801i | ||||
\(686\) | −12.1470 | − | 19.2053i | −0.463773 | − | 0.733263i | ||||
\(687\) | −1.11421 | − | 3.49712i | −0.0425097 | − | 0.133423i | ||||
\(688\) | 11.6453 | − | 30.7371i | 0.443973 | − | 1.17184i | ||||
\(689\) | 1.81880 | − | 3.15025i | 0.0692907 | − | 0.120015i | ||||
\(690\) | −9.98136 | − | 2.50333i | −0.379984 | − | 0.0953001i | ||||
\(691\) | −2.63092 | + | 1.51896i | −0.100085 | + | 0.0577840i | −0.549207 | − | 0.835686i | \(-0.685070\pi\) |
0.449122 | + | 0.893470i | \(0.351737\pi\) | |||||||
\(692\) | −36.2012 | + | 2.92855i | −1.37616 | + | 0.111327i | ||||
\(693\) | −4.63208 | − | 2.12616i | −0.175958 | − | 0.0807662i | ||||
\(694\) | 1.25765 | + | 31.1435i | 0.0477396 | + | 1.18219i | ||||
\(695\) | 28.0923 | + | 1.99601i | 1.06560 | + | 0.0757129i | ||||
\(696\) | −0.604803 | + | 6.40971i | −0.0229250 | + | 0.242959i | ||||
\(697\) | 40.6184 | + | 23.4510i | 1.53853 | + | 0.888271i | ||||
\(698\) | −16.9533 | + | 32.3084i | −0.641692 | + | 1.22289i | ||||
\(699\) | 16.3384 | − | 17.9382i | 0.617975 | − | 0.678485i | ||||
\(700\) | −10.9015 | − | 7.21643i | −0.412036 | − | 0.272755i | ||||
\(701\) | 13.9946i | 0.528568i | 0.964445 | + | 0.264284i | \(0.0851356\pi\) | ||||
−0.964445 | + | 0.264284i | \(0.914864\pi\) | |||||||
\(702\) | 13.1704 | + | 9.10970i | 0.497086 | + | 0.343824i | ||||
\(703\) | − | 42.9012i | − | 1.61805i | ||||||
\(704\) | 7.49401 | − | 7.20532i | 0.282441 | − | 0.271561i | ||||
\(705\) | 20.4931 | − | 4.96088i | 0.771815 | − | 0.186837i | ||||
\(706\) | 0.0399152 | − | 0.0760674i | 0.00150223 | − | 0.00286283i | ||||
\(707\) | 10.0860 | − | 17.4694i | 0.379322 | − | 0.657004i | ||||
\(708\) | 23.2321 | + | 3.14225i | 0.873115 | + | 0.118093i | ||||
\(709\) | 38.9397 | − | 22.4819i | 1.46241 | − | 0.844324i | 0.463289 | − | 0.886207i | \(-0.346669\pi\) |
0.999123 | + | 0.0418834i | \(0.0133358\pi\) | |||||||
\(710\) | 4.21767 | − | 6.81524i | 0.158286 | − | 0.255771i | ||||
\(711\) | −31.6537 | + | 22.4490i | −1.18711 | + | 0.841904i | ||||
\(712\) | 3.55289 | + | 29.1995i | 0.133150 | + | 1.09430i | ||||
\(713\) | −5.56472 | + | 3.21279i | −0.208400 | + | 0.120320i | ||||
\(714\) | −5.19655 | − | 14.2892i | −0.194476 | − | 0.534762i | ||||
\(715\) | 2.76954 | + | 5.69456i | 0.103575 | + | 0.212965i | ||||
\(716\) | 14.5867 | + | 6.91850i | 0.545132 | + | 0.258557i | ||||
\(717\) | −35.1739 | + | 11.2067i | −1.31359 | + | 0.418521i | ||||
\(718\) | −2.20519 | + | 1.39473i | −0.0822969 | + | 0.0520510i | ||||
\(719\) | 0.765821 | 0.0285603 | 0.0142801 | − | 0.999898i | \(-0.495454\pi\) | ||||
0.0142801 | + | 0.999898i | \(0.495454\pi\) | |||||||
\(720\) | −8.94361 | + | 25.2985i | −0.333309 | + | 0.942818i | ||||
\(721\) | 25.6739 | 0.956145 | ||||||||
\(722\) | 14.5718 | − | 9.21635i | 0.542306 | − | 0.342997i | ||||
\(723\) | 4.79617 | − | 21.9461i | 0.178371 | − | 0.816186i | ||||
\(724\) | 31.1202 | + | 14.7603i | 1.15657 | + | 0.548564i | ||||
\(725\) | 0.929065 | − | 6.50493i | 0.0345046 | − | 0.241587i | ||||
\(726\) | 14.6653 | − | 17.4680i | 0.544281 | − | 0.648298i | ||||
\(727\) | 11.7407 | − | 6.77850i | 0.435439 | − | 0.251401i | −0.266222 | − | 0.963912i | \(-0.585775\pi\) |
0.701661 | + | 0.712511i | \(0.252442\pi\) | |||||||
\(728\) | −7.99928 | + | 0.973321i | −0.296473 | + | 0.0360737i | ||||
\(729\) | −7.45741 | − | 25.9497i | −0.276200 | − | 0.961100i | ||||
\(730\) | −39.4199 | − | 24.3954i | −1.45900 | − | 0.902913i | ||||
\(731\) | −33.7886 | + | 19.5079i | −1.24972 | + | 0.721524i | ||||
\(732\) | 20.3973 | − | 26.3884i | 0.753906 | − | 0.975343i | ||||
\(733\) | 20.1595 | − | 34.9172i | 0.744607 | − | 1.28970i | −0.205771 | − | 0.978600i | \(-0.565970\pi\) |
0.950378 | − | 0.311097i | \(-0.100696\pi\) | |||||||
\(734\) | −8.68336 | + | 16.5481i | −0.320509 | + | 0.610802i | ||||
\(735\) | 14.8372 | − | 14.1333i | 0.547277 | − | 0.521313i | ||||
\(736\) | −7.05097 | − | 7.95221i | −0.259902 | − | 0.293122i | ||||
\(737\) | 10.5020i | 0.386845i | ||||||||
\(738\) | −41.5363 | + | 5.58418i | −1.52897 | + | 0.205556i | ||||
\(739\) | 52.8497i | 1.94411i | 0.234758 | + | 0.972054i | \(0.424570\pi\) | ||||
−0.234758 | + | 0.972054i | \(0.575430\pi\) | |||||||
\(740\) | −0.336242 | − | 34.3513i | −0.0123605 | − | 1.26278i | ||||
\(741\) | −6.39947 | − | 20.0858i | −0.235091 | − | 0.737869i | ||||
\(742\) | 1.43399 | − | 2.73280i | 0.0526436 | − | 0.100324i | ||||
\(743\) | −4.94812 | − | 2.85680i | −0.181529 | − | 0.104806i | 0.406482 | − | 0.913659i | \(-0.366755\pi\) |
−0.588011 | + | 0.808853i | \(0.700089\pi\) | |||||||
\(744\) | 6.97733 | + | 15.2330i | 0.255801 | + | 0.558469i | ||||
\(745\) | 38.7527 | + | 2.75345i | 1.41979 | + | 0.100879i | ||||
\(746\) | −0.0670413 | − | 1.66017i | −0.00245456 | − | 0.0607830i | ||||
\(747\) | 9.40605 | − | 6.67083i | 0.344149 | − | 0.244073i | ||||
\(748\) | −12.2999 | + | 0.995016i | −0.449728 | + | 0.0363814i | ||||
\(749\) | 11.7598 | − | 6.78954i | 0.429695 | − | 0.248084i | ||||
\(750\) | 10.3510 | − | 25.3546i | 0.377965 | − | 0.925820i | ||||
\(751\) | −8.59815 | + | 14.8924i | −0.313751 | + | 0.543433i | −0.979171 | − | 0.203036i | \(-0.934919\pi\) |
0.665420 | + | 0.746469i | \(0.268252\pi\) | |||||||
\(752\) | 20.3640 | + | 7.71525i | 0.742597 | + | 0.281346i | ||||
\(753\) | 32.0863 | − | 35.2281i | 1.16929 | − | 1.28378i | ||||
\(754\) | −2.16497 | − | 3.42300i | −0.0788436 | − | 0.124658i | ||||
\(755\) | −19.5189 | − | 13.1975i | −0.710367 | − | 0.480307i | ||||
\(756\) | 11.4767 | + | 7.27164i | 0.417405 | + | 0.264467i | ||||
\(757\) | −3.23350 | −0.117524 | −0.0587619 | − | 0.998272i | \(-0.518715\pi\) | ||||
−0.0587619 | + | 0.998272i | \(0.518715\pi\) | |||||||
\(758\) | −2.82459 | − | 4.46591i | −0.102594 | − | 0.162209i | ||||
\(759\) | 3.12634 | + | 2.84752i | 0.113479 | + | 0.103358i | ||||
\(760\) | 29.6663 | − | 19.1724i | 1.07611 | − | 0.695456i | ||||
\(761\) | −20.4297 | + | 35.3853i | −0.740576 | + | 1.28272i | 0.211657 | + | 0.977344i | \(0.432114\pi\) |
−0.952233 | + | 0.305371i | \(0.901219\pi\) | |||||||
\(762\) | 5.95023 | − | 33.6929i | 0.215554 | − | 1.22057i | ||||
\(763\) | −3.43354 | − | 5.94707i | −0.124303 | − | 0.215298i | ||||
\(764\) | −18.6370 | + | 1.50766i | −0.674261 | + | 0.0545453i | ||||
\(765\) | 27.2207 | − | 16.5377i | 0.984165 | − | 0.597920i | ||||
\(766\) | −38.3946 | + | 1.55046i | −1.38726 | + | 0.0560205i | ||||
\(767\) | −12.7722 | + | 7.37406i | −0.461179 | + | 0.266262i | ||||
\(768\) | −22.3711 | + | 16.3564i | −0.807248 | + | 0.590212i | ||||
\(769\) | 25.8491 | − | 44.7720i | 0.932144 | − | 1.61452i | 0.152495 | − | 0.988304i | \(-0.451269\pi\) |
0.779649 | − | 0.626217i | \(-0.215398\pi\) | |||||||
\(770\) | 2.54274 | + | 4.73260i | 0.0916340 | + | 0.170551i | ||||
\(771\) | 10.5830 | + | 33.2164i | 0.381138 | + | 1.19626i | ||||
\(772\) | −25.0811 | + | 17.3184i | −0.902689 | + | 0.623304i | ||||
\(773\) | 1.05635 | 0.0379943 | 0.0189971 | − | 0.999820i | \(-0.493953\pi\) | ||||
0.0189971 | + | 0.999820i | \(0.493953\pi\) | |||||||
\(774\) | 13.2532 | − | 32.2457i | 0.476376 | − | 1.15905i | ||||
\(775\) | −6.37042 | − | 15.8695i | −0.228832 | − | 0.570051i | ||||
\(776\) | 13.2255 | + | 17.5908i | 0.474768 | + | 0.631472i | ||||
\(777\) | −16.9931 | − | 3.71372i | −0.609626 | − | 0.133229i | ||||
\(778\) | 4.50568 | − | 8.58659i | 0.161536 | − | 0.307844i | ||||
\(779\) | 47.7784 | + | 27.5849i | 1.71184 | + | 0.988330i | ||||
\(780\) | −5.28153 | − | 16.0327i | −0.189109 | − | 0.574062i | ||||
\(781\) | −2.85231 | + | 1.64678i | −0.102064 | + | 0.0589265i | ||||
\(782\) | 0.509024 | + | 12.6051i | 0.0182027 | + | 0.450759i | ||||
\(783\) | −0.830228 | + | 6.77807i | −0.0296699 | + | 0.242228i | ||||
\(784\) | 20.8881 | − | 3.40180i | 0.746002 | − | 0.121493i | ||||
\(785\) | −2.31635 | + | 32.6008i | −0.0826741 | + | 1.16357i | ||||
\(786\) | 18.1117 | + | 15.2057i | 0.646023 | + | 0.542371i | ||||
\(787\) | 4.90026 | − | 8.48751i | 0.174676 | − | 0.302547i | −0.765373 | − | 0.643587i | \(-0.777446\pi\) |
0.940049 | + | 0.341040i | \(0.110779\pi\) | |||||||
\(788\) | 21.1933 | − | 44.6831i | 0.754979 | − | 1.59177i | ||||
\(789\) | −12.2997 | − | 2.68800i | −0.437880 | − | 0.0956954i | ||||
\(790\) | 40.8862 | + | 1.25037i | 1.45466 | + | 0.0444863i | ||||
\(791\) | −0.626167 | −0.0222639 | ||||||||
\(792\) | 8.15797 | − | 7.41849i | 0.289881 | − | 0.263604i | ||||
\(793\) | 20.9817i | 0.745083i | ||||||||
\(794\) | 19.4327 | − | 12.2908i | 0.689642 | − | 0.436184i | ||||
\(795\) | 6.20207 | + | 1.82441i | 0.219965 | + | 0.0647053i | ||||
\(796\) | 9.48019 | − | 19.9877i | 0.336017 | − | 0.708445i | ||||
\(797\) | 8.52322 | − | 14.7627i | 0.301908 | − | 0.522920i | −0.674660 | − | 0.738129i | \(-0.735710\pi\) |
0.976568 | + | 0.215209i | \(0.0690431\pi\) | |||||||
\(798\) | −6.11257 | − | 16.8081i | −0.216383 | − | 0.595000i | ||||
\(799\) | −12.9244 | − | 22.3856i | −0.457231 | − | 0.791947i | ||||
\(800\) | 23.6038 | − | 15.5840i | 0.834520 | − | 0.550978i | ||||
\(801\) | 2.90603 | + | 31.0636i | 0.102679 | + | 1.09758i | ||||
\(802\) | −0.921829 | − | 22.8276i | −0.0325509 | − | 0.806070i | ||||
\(803\) | 9.52513 | + | 16.4980i | 0.336135 | + | 0.582202i | ||||
\(804\) | 3.75233 | − | 27.7427i | 0.132335 | − | 0.978409i | ||||
\(805\) | 4.93915 | − | 2.40214i | 0.174082 | − | 0.0846644i | ||||
\(806\) | −9.33341 | − | 4.89756i | −0.328755 | − | 0.172509i | ||||
\(807\) | −23.3849 | + | 25.6746i | −0.823186 | + | 0.903790i | ||||
\(808\) | 26.2259 | + | 34.8821i | 0.922624 | + | 1.22715i | ||||
\(809\) | −5.72585 | −0.201310 | −0.100655 | − | 0.994921i | \(-0.532094\pi\) | ||||
−0.100655 | + | 0.994921i | \(0.532094\pi\) | |||||||
\(810\) | −10.2284 | + | 26.5590i | −0.359388 | + | 0.933188i | ||||
\(811\) | − | 54.0055i | − | 1.89639i | −0.317689 | − | 0.948195i | \(-0.602907\pi\) | ||
0.317689 | − | 0.948195i | \(-0.397093\pi\) | |||||||
\(812\) | −1.95247 | − | 2.82764i | −0.0685184 | − | 0.0992306i | ||||
\(813\) | 3.47037 | + | 3.16086i | 0.121711 | + | 0.110856i | ||||
\(814\) | −6.55943 | + | 12.5005i | −0.229908 | + | 0.438142i | ||||
\(815\) | 27.6314 | − | 13.4385i | 0.967886 | − | 0.470729i | ||||
\(816\) | 32.8477 | + | 1.76622i | 1.14990 | + | 0.0618302i | ||||
\(817\) | −39.7447 | + | 22.9466i | −1.39049 | + | 0.802801i | ||||
\(818\) | −0.0573348 | − | 1.41980i | −0.00200467 | − | 0.0496422i | ||||
\(819\) | −8.50993 | + | 0.796112i | −0.297361 | + | 0.0278184i | ||||
\(820\) | 38.4727 | + | 21.7130i | 1.34353 | + | 0.758249i | ||||
\(821\) | 17.6578 | − | 10.1948i | 0.616263 | − | 0.355800i | −0.159150 | − | 0.987254i | \(-0.550875\pi\) |
0.775413 | + | 0.631455i | \(0.217542\pi\) | |||||||
\(822\) | −10.5967 | + | 3.85368i | −0.369602 | + | 0.134413i | ||||
\(823\) | −2.41832 | − | 1.39622i | −0.0842974 | − | 0.0486691i | 0.457259 | − | 0.889334i | \(-0.348831\pi\) |
−0.541556 | + | 0.840665i | \(0.682165\pi\) | |||||||
\(824\) | −21.7588 | + | 51.1053i | −0.758004 | + | 1.78034i | ||||
\(825\) | −8.67837 | + | 7.16509i | −0.302142 | + | 0.249456i | ||||
\(826\) | −10.5749 | + | 6.68839i | −0.367947 | + | 0.232719i | ||||
\(827\) | 21.1112 | 0.734108 | 0.367054 | − | 0.930200i | \(-0.380366\pi\) | ||||
0.367054 | + | 0.930200i | \(0.380366\pi\) | |||||||
\(828\) | −7.24133 | − | 8.63922i | −0.251654 | − | 0.300234i | ||||
\(829\) | − | 15.7409i | − | 0.546704i | −0.961914 | − | 0.273352i | \(-0.911868\pi\) | ||
0.961914 | − | 0.273352i | \(-0.0881324\pi\) | |||||||
\(830\) | −12.1495 | − | 0.371554i | −0.421716 | − | 0.0128968i | ||||
\(831\) | 4.44222 | − | 20.3266i | 0.154099 | − | 0.705121i | ||||
\(832\) | 4.84200 | − | 16.7479i | 0.167866 | − | 0.580629i | ||||
\(833\) | −21.7552 | − | 12.5604i | −0.753775 | − | 0.435192i | ||||
\(834\) | 23.6281 | + | 19.8370i | 0.818173 | + | 0.686900i | ||||
\(835\) | 39.9997 | + | 2.84205i | 1.38425 | + | 0.0983532i | ||||
\(836\) | −14.4680 | + | 1.17041i | −0.500388 | + | 0.0404796i | ||||
\(837\) | 6.94858 | + | 16.3565i | 0.240178 | + | 0.565364i | ||||
\(838\) | −50.5322 | + | 2.04060i | −1.74561 | + | 0.0704915i | ||||
\(839\) | −16.6856 | − | 28.9004i | −0.576052 | − | 0.997751i | −0.995926 | − | 0.0901690i | \(-0.971259\pi\) |
0.419875 | − | 0.907582i | \(-0.362074\pi\) | |||||||
\(840\) | −5.02612 | − | 13.4105i | −0.173418 | − | 0.462705i | ||||
\(841\) | −13.6365 | + | 23.6190i | −0.470223 | + | 0.814449i | ||||
\(842\) | 14.4150 | − | 27.4711i | 0.496774 | − | 0.946715i | ||||
\(843\) | 1.94717 | − | 8.90981i | 0.0670642 | − | 0.306870i | ||||
\(844\) | 12.8365 | − | 8.86353i | 0.441849 | − | 0.305095i | ||||
\(845\) | −15.2840 | − | 10.3341i | −0.525785 | − | 0.355503i | ||||
\(846\) | 21.3634 | + | 8.78052i | 0.734489 | + | 0.301880i | ||||
\(847\) | 12.1732i | 0.418276i | ||||||||
\(848\) | 4.22448 | + | 5.17052i | 0.145069 | + | 0.177556i | ||||
\(849\) | 4.33944 | − | 1.38258i | 0.148929 | − | 0.0474499i | ||||
\(850\) | −33.4006 | − | 3.40202i | −1.14563 | − | 0.116688i | ||||
\(851\) | 12.4984 | + | 7.21597i | 0.428441 | + | 0.247360i | ||||
\(852\) | 8.12324 | − | 3.33112i | 0.278298 | − | 0.114122i | ||||
\(853\) | 8.28860 | + | 14.3563i | 0.283796 | + | 0.491549i | 0.972317 | − | 0.233668i | \(-0.0750728\pi\) |
−0.688520 | + | 0.725217i | \(0.741739\pi\) | |||||||
\(854\) | 0.718267 | + | 17.7867i | 0.0245786 | + | 0.608648i | ||||
\(855\) | 32.0190 | − | 19.4528i | 1.09503 | − | 0.665273i | ||||
\(856\) | 3.54842 | + | 29.1628i | 0.121282 | + | 0.996764i | ||||
\(857\) | −8.20098 | + | 4.73484i | −0.280140 | + | 0.161739i | −0.633487 | − | 0.773753i | \(-0.718377\pi\) |
0.353347 | + | 0.935492i | \(0.385044\pi\) | |||||||
\(858\) | −1.20637 | + | 6.83101i | −0.0411848 | + | 0.233207i | ||||
\(859\) | 7.21262 | + | 4.16421i | 0.246091 | + | 0.142081i | 0.617973 | − | 0.786199i | \(-0.287954\pi\) |
−0.371882 | + | 0.928280i | \(0.621287\pi\) | |||||||
\(860\) | −31.6441 | + | 18.6850i | −1.07905 | + | 0.637155i | ||||
\(861\) | 15.0623 | − | 16.5371i | 0.513321 | − | 0.563584i | ||||
\(862\) | −13.9869 | + | 8.84640i | −0.476395 | + | 0.301310i | ||||
\(863\) | − | 16.9671i | − | 0.577568i | −0.957394 | − | 0.288784i | \(-0.906749\pi\) | ||
0.957394 | − | 0.288784i | \(-0.0932510\pi\) | |||||||
\(864\) | −24.2012 | + | 16.6823i | −0.823343 | + | 0.567544i | ||||
\(865\) | 33.6388 | + | 22.7445i | 1.14375 | + | 0.773335i | ||||
\(866\) | 14.0437 | + | 22.2042i | 0.477224 | + | 0.754530i | ||||
\(867\) | −7.09856 | − | 6.46548i | −0.241080 | − | 0.219579i | ||||
\(868\) | −8.07980 | − | 3.83226i | −0.274246 | − | 0.130075i | ||||
\(869\) | −14.5575 | − | 8.40477i | −0.493829 | − | 0.285112i | ||||
\(870\) | 5.00740 | − | 5.17095i | 0.169767 | − | 0.175312i | ||||
\(871\) | 8.80576 | + | 15.2520i | 0.298372 | + | 0.516795i | ||||
\(872\) | 14.7479 | − | 1.79447i | 0.499428 | − | 0.0607685i | ||||
\(873\) | 13.5037 | + | 19.0406i | 0.457031 | + | 0.644425i | ||||
\(874\) | 0.598752 | + | 14.8271i | 0.0202531 | + | 0.501535i | ||||
\(875\) | 4.47010 | + | 13.9164i | 0.151117 | + | 0.470461i | ||||
\(876\) | −19.2675 | − | 46.9855i | −0.650988 | − | 1.58749i | ||||
\(877\) | −4.17126 | + | 7.22484i | −0.140854 | + | 0.243966i | −0.927818 | − | 0.373032i | \(-0.878318\pi\) |
0.786965 | + | 0.616998i | \(0.211651\pi\) | |||||||
\(878\) | 36.2157 | + | 19.0036i | 1.22222 | + | 0.641341i | ||||
\(879\) | −24.0121 | + | 7.65043i | −0.809908 | + | 0.258043i | ||||
\(880\) | −11.5755 | + | 1.05055i | −0.390210 | + | 0.0354142i | ||||
\(881\) | −21.8620 | −0.736550 | −0.368275 | − | 0.929717i | \(-0.620051\pi\) | ||||
−0.368275 | + | 0.929717i | \(0.620051\pi\) | |||||||
\(882\) | 22.2469 | − | 2.99089i | 0.749091 | − | 0.100709i | ||||
\(883\) | 2.50414 | 0.0842711 | 0.0421355 | − | 0.999112i | \(-0.486584\pi\) | ||||
0.0421355 | + | 0.999112i | \(0.486584\pi\) | |||||||
\(884\) | −17.0288 | + | 11.7583i | −0.572741 | + | 0.395476i | ||||
\(885\) | −18.0782 | − | 18.9785i | −0.607690 | − | 0.637957i | ||||
\(886\) | −21.5445 | − | 11.3051i | −0.723801 | − | 0.379803i | ||||
\(887\) | 20.4540 | + | 11.8091i | 0.686778 | + | 0.396511i | 0.802404 | − | 0.596782i | \(-0.203554\pi\) |
−0.115626 | + | 0.993293i | \(0.536887\pi\) | |||||||
\(888\) | 21.7942 | − | 30.6784i | 0.731366 | − | 1.02950i | ||||
\(889\) | 9.13055 | + | 15.8146i | 0.306229 | + | 0.530404i | ||||
\(890\) | 17.3063 | − | 27.9649i | 0.580110 | − | 0.937386i | ||||
\(891\) | 8.86822 | − | 7.62492i | 0.297097 | − | 0.255444i | ||||
\(892\) | 2.89509 | + | 35.7876i | 0.0969348 | + | 1.19826i | ||||
\(893\) | −15.2026 | − | 26.3317i | −0.508736 | − | 0.881157i | ||||
\(894\) | 32.5944 | + | 27.3648i | 1.09012 | + | 0.915214i | ||||
\(895\) | −7.89438 | − | 16.2320i | −0.263880 | − | 0.542575i | ||||
\(896\) | 3.53134 | − | 14.3633i | 0.117974 | − | 0.479846i | ||||
\(897\) | 6.92799 | + | 1.51406i | 0.231319 | + | 0.0505530i | ||||
\(898\) | 15.0691 | − | 9.53088i | 0.502862 | − | 0.318050i | ||||
\(899\) | − | 4.49464i | − | 0.149905i | ||||||
\(900\) | 25.4854 | − | 15.8270i | 0.849514 | − | 0.527567i | ||||
\(901\) | − | 7.92544i | − | 0.264035i | ||||||
\(902\) | −9.70397 | − | 15.3428i | −0.323107 | − | 0.510858i | ||||
\(903\) | 5.64866 | + | 17.7292i | 0.187976 | + | 0.589992i | ||||
\(904\) | 0.530681 | − | 1.24642i | 0.0176502 | − | 0.0414553i | ||||
\(905\) | −16.8423 | − | 34.6302i | −0.559858 | − | 1.15115i | ||||
\(906\) | −8.82134 | − | 24.2566i | −0.293070 | − | 0.805870i | ||||
\(907\) | −2.57114 | − | 4.45335i | −0.0853735 | − | 0.147871i | 0.820177 | − | 0.572110i | \(-0.193875\pi\) |
−0.905550 | + | 0.424239i | \(0.860542\pi\) | |||||||
\(908\) | 4.48228 | − | 0.362601i | 0.148750 | − | 0.0120333i | ||||
\(909\) | 26.7776 | + | 37.7571i | 0.888155 | + | 1.25232i | ||||
\(910\) | 7.66105 | + | 4.74111i | 0.253961 | + | 0.157166i | ||||
\(911\) | −15.6515 | − | 27.1092i | −0.518558 | − | 0.898168i | −0.999767 | − | 0.0215626i | \(-0.993136\pi\) |
0.481210 | − | 0.876605i | \(-0.340197\pi\) | |||||||
\(912\) | 38.6379 | + | 2.07756i | 1.27943 | + | 0.0687950i | ||||
\(913\) | 4.32582 | + | 2.49751i | 0.143164 | + | 0.0826557i | ||||
\(914\) | 2.48538 | − | 4.73645i | 0.0822090 | − | 0.156668i | ||||
\(915\) | −36.2426 | + | 8.77343i | −1.19814 | + | 0.290041i | ||||
\(916\) | −3.48751 | + | 2.40811i | −0.115231 | + | 0.0795663i | ||||
\(917\) | −12.6218 | −0.416809 | ||||||||
\(918\) | 34.7747 | + | 2.84113i | 1.14774 | + | 0.0937711i | ||||
\(919\) | 13.2617 | 0.437464 | 0.218732 | − | 0.975785i | \(-0.429808\pi\) | ||||
0.218732 | + | 0.975785i | \(0.429808\pi\) | |||||||
\(920\) | 0.595635 | + | 11.8675i | 0.0196375 | + | 0.391260i | ||||
\(921\) | −30.4548 | − | 27.7387i | −1.00352 | − | 0.914021i | ||||
\(922\) | −0.730212 | + | 1.39158i | −0.0240482 | + | 0.0458294i | ||||
\(923\) | −2.76161 | + | 4.78325i | −0.0908995 | + | 0.157442i | ||||
\(924\) | −0.788820 | + | 5.83210i | −0.0259503 | + | 0.191862i | ||||
\(925\) | −23.7139 | + | 30.2127i | −0.779708 | + | 0.993389i | ||||
\(926\) | −32.1121 | + | 1.29676i | −1.05527 | + | 0.0426141i | ||||
\(927\) | −24.5766 | + | 53.5429i | −0.807201 | + | 1.75858i | ||||
\(928\) | 7.28331 | − | 1.49007i | 0.239086 | − | 0.0489138i | ||||
\(929\) | −10.7193 | − | 18.5664i | −0.351690 | − | 0.609145i | 0.634856 | − | 0.772631i | \(-0.281060\pi\) |
−0.986546 | + | 0.163486i | \(0.947726\pi\) | |||||||
\(930\) | 4.55701 | − | 18.1698i | 0.149430 | − | 0.595813i | ||||
\(931\) | −25.5902 | − | 14.7745i | −0.838684 | − | 0.484214i | ||||
\(932\) | −25.3141 | − | 12.0065i | −0.829192 | − | 0.393287i | ||||
\(933\) | −30.0671 | + | 9.57958i | −0.984351 | + | 0.313622i | ||||
\(934\) | −3.94807 | + | 2.49707i | −0.129185 | + | 0.0817067i | ||||
\(935\) | 11.4293 | + | 7.72776i | 0.373777 | + | 0.252725i | ||||
\(936\) | 5.62753 | − | 17.6142i | 0.183942 | − | 0.575739i | ||||
\(937\) | 17.1401i | 0.559942i | 0.960009 | + | 0.279971i | \(0.0903248\pi\) | ||||
−0.960009 | + | 0.279971i | \(0.909675\pi\) | |||||||
\(938\) | 7.98696 | + | 12.6280i | 0.260784 | + | 0.412320i | ||||
\(939\) | −16.3142 | − | 3.56534i | −0.532393 | − | 0.116351i | ||||
\(940\) | −12.3792 | − | 20.9648i | −0.403766 | − | 0.683798i | ||||
\(941\) | 22.1713 | + | 12.8006i | 0.722763 | + | 0.417288i | 0.815769 | − | 0.578378i | \(-0.196314\pi\) |
−0.0930055 | + | 0.995666i | \(0.529647\pi\) | |||||||
\(942\) | −23.0207 | + | 27.4201i | −0.750054 | + | 0.893397i | ||||
\(943\) | −16.0726 | + | 9.27954i | −0.523397 | + | 0.302183i | ||||
\(944\) | −4.35132 | − | 26.7184i | −0.141623 | − | 0.869609i | ||||
\(945\) | −4.93355 | − | 14.3666i | −0.160488 | − | 0.467347i | ||||
\(946\) | 15.0892 | − | 0.609336i | 0.490592 | − | 0.0198112i | ||||
\(947\) | 4.44609 | + | 7.70086i | 0.144479 | + | 0.250244i | 0.929178 | − | 0.369632i | \(-0.120516\pi\) |
−0.784700 | + | 0.619876i | \(0.787183\pi\) | |||||||
\(948\) | 35.4530 | + | 27.4039i | 1.15146 | + | 0.890038i | ||||
\(949\) | 27.6667 | + | 15.9734i | 0.898099 | + | 0.518518i | ||||
\(950\) | −39.2884 | − | 4.00171i | −1.27468 | − | 0.129833i | ||||
\(951\) | −6.07885 | + | 27.8154i | −0.197120 | + | 0.901977i | ||||
\(952\) | −14.0332 | + | 10.5508i | −0.454818 | + | 0.341952i | ||||
\(953\) | − | 29.9732i | − | 0.970927i | −0.874257 | − | 0.485463i | \(-0.838651\pi\) | ||
0.874257 | − | 0.485463i | \(-0.161349\pi\) | |||||||
\(954\) | 4.32655 | + | 5.60660i | 0.140077 | + | 0.181520i | ||||
\(955\) | 17.3178 | + | 11.7092i | 0.560390 | + | 0.378902i | ||||
\(956\) | 24.2207 | + | 35.0773i | 0.783355 | + | 1.13448i | ||||
\(957\) | −2.81838 | + | 0.897958i | −0.0911054 | + | 0.0290269i | ||||
\(958\) | 5.42394 | + | 2.84613i | 0.175240 | + | 0.0919542i | ||||
\(959\) | 3.00906 | − | 5.21185i | 0.0971678 | − | 0.168300i | ||||
\(960\) | 30.9540 | + | 1.36069i | 0.999035 | + | 0.0439162i | ||||
\(961\) | 9.65151 | + | 16.7169i | 0.311339 | + | 0.539255i | ||||
\(962\) | 0.955220 | + | 23.6544i | 0.0307975 | + | 0.762650i | ||||
\(963\) | 2.90237 | + | 31.0245i | 0.0935275 | + | 0.999750i | ||||
\(964\) | −25.8549 | + | 2.09157i | −0.832729 | + | 0.0673648i | ||||
\(965\) | 33.9912 | + | 2.41514i | 1.09422 | + | 0.0777461i | ||||
\(966\) | 5.92484 | + | 1.04634i | 0.190629 | + | 0.0336654i | ||||
\(967\) | −13.3045 | − | 7.68136i | −0.427844 | − | 0.247016i | 0.270584 | − | 0.962696i | \(-0.412783\pi\) |
−0.698428 | + | 0.715681i | \(0.746117\pi\) | |||||||
\(968\) | −24.2315 | − | 10.3169i | −0.778829 | − | 0.331597i | ||||
\(969\) | −33.9559 | − | 30.9276i | −1.09082 | − | 0.993536i | ||||
\(970\) | 0.752133 | − | 24.5941i | 0.0241495 | − | 0.789669i | ||||
\(971\) | 28.0124i | 0.898962i | 0.893290 | + | 0.449481i | \(0.148391\pi\) | ||||
−0.893290 | + | 0.449481i | \(0.851609\pi\) | |||||||
\(972\) | −26.1512 | + | 16.9739i | −0.838801 | + | 0.544438i | ||||
\(973\) | −16.4661 | −0.527879 | ||||||||
\(974\) | 2.23808 | + | 3.53858i | 0.0717126 | + | 0.113383i | ||||
\(975\) | −6.59577 | + | 17.6826i | −0.211234 | + | 0.566295i | ||||
\(976\) | −36.0142 | − | 13.6446i | −1.15279 | − | 0.436754i | ||||
\(977\) | −39.3939 | − | 22.7441i | −1.26032 | − | 0.727647i | −0.287185 | − | 0.957875i | \(-0.592720\pi\) |
−0.973137 | + | 0.230228i | \(0.926053\pi\) | |||||||
\(978\) | 33.1457 | + | 5.85359i | 1.05988 | + | 0.187177i | ||||
\(979\) | −11.7039 | + | 6.75723i | −0.374057 | + | 0.215962i | ||||
\(980\) | −20.6060 | − | 11.6295i | −0.658236 | − | 0.371490i | ||||
\(981\) | 15.6894 | − | 1.46776i | 0.500925 | − | 0.0468619i | ||||
\(982\) | −20.6276 | + | 0.832990i | −0.658254 | + | 0.0265818i | ||||
\(983\) | 28.9059 | − | 16.6888i | 0.921954 | − | 0.532290i | 0.0376958 | − | 0.999289i | \(-0.487998\pi\) |
0.884258 | + | 0.466999i | \(0.154665\pi\) | |||||||
\(984\) | 20.1527 | + | 43.9977i | 0.642445 | + | 1.40259i | ||||
\(985\) | −49.7229 | + | 24.1826i | −1.58430 | + | 0.770522i | ||||
\(986\) | −7.81393 | − | 4.10024i | −0.248846 | − | 0.130578i | ||||
\(987\) | −11.7460 | + | 3.74235i | −0.373879 | + | 0.119120i | ||||
\(988\) | −20.0306 | + | 13.8310i | −0.637258 | + | 0.440024i | ||||
\(989\) | − | 15.4385i | − | 0.490915i | ||||||
\(990\) | −12.3039 | + | 0.772556i | −0.391044 | + | 0.0245534i | ||||
\(991\) | 19.2664 | 0.612017 | 0.306008 | − | 0.952029i | \(-0.401006\pi\) | ||||
0.306008 | + | 0.952029i | \(0.401006\pi\) | |||||||
\(992\) | 14.4760 | − | 12.8354i | 0.459614 | − | 0.407525i | ||||
\(993\) | 51.9492 | + | 11.3531i | 1.64856 | + | 0.360280i | ||||
\(994\) | −2.17733 | + | 4.14940i | −0.0690608 | + | 0.131611i | ||||
\(995\) | −22.2421 | + | 10.8174i | −0.705123 | + | 0.342935i | ||||
\(996\) | −10.5350 | − | 8.14320i | −0.333815 | − | 0.258027i | ||||
\(997\) | −11.6049 | − | 20.1002i | −0.367530 | − | 0.636581i | 0.621649 | − | 0.783296i | \(-0.286463\pi\) |
−0.989179 | + | 0.146715i | \(0.953130\pi\) | |||||||
\(998\) | 32.3688 | − | 1.30713i | 1.02462 | − | 0.0413764i | ||||
\(999\) | 24.0118 | − | 31.8842i | 0.759701 | − | 1.00877i |
(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 | 360.2.bk.a.229.13 | yes | 136 | |
5.4 | even | 2 | inner | 360.2.bk.a.229.56 | yes | 136 | |
8.5 | even | 2 | inner | 360.2.bk.a.229.11 | ✓ | 136 | |
9.7 | even | 3 | inner | 360.2.bk.a.349.58 | yes | 136 | |
40.29 | even | 2 | inner | 360.2.bk.a.229.58 | yes | 136 | |
45.34 | even | 6 | inner | 360.2.bk.a.349.11 | yes | 136 | |
72.61 | even | 6 | inner | 360.2.bk.a.349.56 | yes | 136 | |
360.349 | even | 6 | inner | 360.2.bk.a.349.13 | yes | 136 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
360.2.bk.a.229.11 | ✓ | 136 | 8.5 | even | 2 | inner | |
360.2.bk.a.229.13 | yes | 136 | 1.1 | even | 1 | trivial | |
360.2.bk.a.229.56 | yes | 136 | 5.4 | even | 2 | inner | |
360.2.bk.a.229.58 | yes | 136 | 40.29 | even | 2 | inner | |
360.2.bk.a.349.11 | yes | 136 | 45.34 | even | 6 | inner | |
360.2.bk.a.349.13 | yes | 136 | 360.349 | even | 6 | inner | |
360.2.bk.a.349.56 | yes | 136 | 72.61 | even | 6 | inner | |
360.2.bk.a.349.58 | yes | 136 | 9.7 | even | 3 | inner |