Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [402,2,Mod(11,402)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(402, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([33, 59]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("402.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 402 = 2 \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 402.n (of order \(66\), degree \(20\), 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: | \(3.20998616126\) |
Analytic rank: | \(0\) |
Dimension: | \(220\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 11.6 | ||
Character | \(\chi\) | \(=\) | 402.11 |
Dual form | 402.2.n.b.329.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/402\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{59}{66}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.327068 | − | 0.945001i | −0.231272 | − | 0.668216i | ||||
\(3\) | 0.0660585 | − | 1.73079i | 0.0381389 | − | 0.999272i | ||||
\(4\) | −0.786053 | + | 0.618159i | −0.393027 | + | 0.309079i | ||||
\(5\) | −2.79086 | + | 0.819470i | −1.24811 | + | 0.366478i | −0.838057 | − | 0.545583i | \(-0.816308\pi\) |
−0.410054 | + | 0.912061i | \(0.634490\pi\) | |||||||
\(6\) | −1.65720 | + | 0.503661i | −0.676551 | + | 0.205619i | ||||
\(7\) | −0.548725 | + | 2.84706i | −0.207399 | + | 1.07609i | 0.717698 | + | 0.696354i | \(0.245196\pi\) |
−0.925097 | + | 0.379731i | \(0.876016\pi\) | |||||||
\(8\) | 0.841254 | + | 0.540641i | 0.297428 | + | 0.191145i | ||||
\(9\) | −2.99127 | − | 0.228667i | −0.997091 | − | 0.0762222i | ||||
\(10\) | 1.68720 | + | 2.36934i | 0.533540 | + | 0.749252i | ||||
\(11\) | 3.28214 | + | 3.12951i | 0.989601 | + | 0.943583i | 0.998409 | − | 0.0563782i | \(-0.0179552\pi\) |
−0.00880807 | + | 0.999961i | \(0.502804\pi\) | |||||||
\(12\) | 1.01798 | + | 1.40133i | 0.293865 | + | 0.404529i | ||||
\(13\) | 1.12186 | − | 0.0534408i | 0.311148 | − | 0.0148218i | 0.108573 | − | 0.994088i | \(-0.465372\pi\) |
0.202575 | + | 0.979267i | \(0.435069\pi\) | |||||||
\(14\) | 2.86994 | − | 0.412635i | 0.767024 | − | 0.110281i | ||||
\(15\) | 1.23397 | + | 4.88453i | 0.318610 | + | 1.26118i | ||||
\(16\) | 0.235759 | − | 0.971812i | 0.0589397 | − | 0.242953i | ||||
\(17\) | −1.01883 | + | 1.29555i | −0.247103 | + | 0.314217i | −0.893744 | − | 0.448577i | \(-0.851931\pi\) |
0.646641 | + | 0.762795i | \(0.276173\pi\) | |||||||
\(18\) | 0.762259 | + | 2.90154i | 0.179666 | + | 0.683901i | ||||
\(19\) | 0.814290 | − | 0.156941i | 0.186811 | − | 0.0360048i | −0.0949876 | − | 0.995478i | \(-0.530281\pi\) |
0.281798 | + | 0.959474i | \(0.409069\pi\) | |||||||
\(20\) | 1.68720 | − | 2.36934i | 0.377270 | − | 0.529801i | ||||
\(21\) | 4.89141 | + | 1.13780i | 1.06739 | + | 0.248288i | ||||
\(22\) | 1.88391 | − | 4.12518i | 0.401651 | − | 0.879492i | ||||
\(23\) | −0.114234 | + | 1.19632i | −0.0238195 | + | 0.249449i | 0.975718 | + | 0.219031i | \(0.0702897\pi\) |
−0.999537 | + | 0.0304175i | \(0.990316\pi\) | |||||||
\(24\) | 0.991308 | − | 1.42032i | 0.202350 | − | 0.289922i | ||||
\(25\) | 2.91110 | − | 1.87085i | 0.582220 | − | 0.374170i | ||||
\(26\) | −0.417427 | − | 1.04268i | −0.0818641 | − | 0.204487i | ||||
\(27\) | −0.593373 | + | 5.16216i | −0.114195 | + | 0.993458i | ||||
\(28\) | −1.32861 | − | 2.57714i | −0.251083 | − | 0.487033i | ||||
\(29\) | −6.32275 | + | 3.65044i | −1.17410 | + | 0.677870i | −0.954643 | − | 0.297751i | \(-0.903763\pi\) |
−0.219461 | + | 0.975621i | \(0.570430\pi\) | |||||||
\(30\) | 4.21229 | − | 2.76368i | 0.769055 | − | 0.504576i | ||||
\(31\) | −2.97292 | − | 0.141618i | −0.533952 | − | 0.0254353i | −0.221125 | − | 0.975245i | \(-0.570973\pi\) |
−0.312827 | + | 0.949810i | \(0.601276\pi\) | |||||||
\(32\) | −0.995472 | + | 0.0950560i | −0.175976 | + | 0.0168037i | ||||
\(33\) | 5.63334 | − | 5.47396i | 0.980639 | − | 0.952894i | ||||
\(34\) | 1.55752 | + | 0.539064i | 0.267113 | + | 0.0924487i | ||||
\(35\) | −0.801663 | − | 8.39540i | −0.135506 | − | 1.41908i | ||||
\(36\) | 2.49265 | − | 1.66934i | 0.415442 | − | 0.278223i | ||||
\(37\) | −1.62091 | + | 2.80750i | −0.266476 | + | 0.461550i | −0.967949 | − | 0.251146i | \(-0.919193\pi\) |
0.701473 | + | 0.712696i | \(0.252526\pi\) | |||||||
\(38\) | −0.414638 | − | 0.718174i | −0.0672631 | − | 0.116503i | ||||
\(39\) | −0.0183865 | − | 1.94524i | −0.00294419 | − | 0.311487i | ||||
\(40\) | −2.79086 | − | 0.819470i | −0.441274 | − | 0.129570i | ||||
\(41\) | 2.49460 | − | 0.998685i | 0.389590 | − | 0.155968i | −0.168594 | − | 0.985686i | \(-0.553923\pi\) |
0.558184 | + | 0.829717i | \(0.311498\pi\) | |||||||
\(42\) | −0.524601 | − | 4.99452i | −0.0809477 | − | 0.770672i | ||||
\(43\) | −8.31698 | − | 1.19580i | −1.26833 | − | 0.182358i | −0.524894 | − | 0.851167i | \(-0.675895\pi\) |
−0.743434 | + | 0.668809i | \(0.766804\pi\) | |||||||
\(44\) | −4.51447 | − | 0.431080i | −0.680582 | − | 0.0649877i | ||||
\(45\) | 8.53561 | − | 1.81308i | 1.27241 | − | 0.270278i | ||||
\(46\) | 1.16788 | − | 0.283325i | 0.172195 | − | 0.0417740i | ||||
\(47\) | 9.32003 | + | 6.63676i | 1.35947 | + | 0.968071i | 0.999382 | + | 0.0351512i | \(0.0111913\pi\) |
0.360084 | + | 0.932920i | \(0.382748\pi\) | |||||||
\(48\) | −1.66643 | − | 0.472246i | −0.240528 | − | 0.0681628i | ||||
\(49\) | −1.30605 | − | 0.522863i | −0.186578 | − | 0.0746947i | ||||
\(50\) | −2.72008 | − | 2.13910i | −0.384678 | − | 0.302514i | ||||
\(51\) | 2.17502 | + | 1.84897i | 0.304564 | + | 0.258907i | ||||
\(52\) | −0.848808 | + | 0.735496i | −0.117708 | + | 0.101995i | ||||
\(53\) | 0.737468 | + | 5.12920i | 0.101299 | + | 0.704550i | 0.975662 | + | 0.219278i | \(0.0703703\pi\) |
−0.874363 | + | 0.485272i | \(0.838721\pi\) | |||||||
\(54\) | 5.07232 | − | 1.12764i | 0.690255 | − | 0.153452i | ||||
\(55\) | −11.7245 | − | 6.04441i | −1.58093 | − | 0.815029i | ||||
\(56\) | −2.00085 | + | 2.09843i | −0.267375 | + | 0.280415i | ||||
\(57\) | −0.217842 | − | 1.41973i | −0.0288539 | − | 0.188048i | ||||
\(58\) | 5.51764 | + | 4.78106i | 0.724501 | + | 0.627784i | ||||
\(59\) | −7.43166 | + | 11.5639i | −0.967520 | + | 1.50549i | −0.108152 | + | 0.994134i | \(0.534493\pi\) |
−0.859369 | + | 0.511357i | \(0.829143\pi\) | |||||||
\(60\) | −3.98938 | − | 3.07671i | −0.515027 | − | 0.397201i | ||||
\(61\) | 9.71920 | + | 10.1932i | 1.24442 | + | 1.30511i | 0.935203 | + | 0.354113i | \(0.115217\pi\) |
0.309213 | + | 0.950993i | \(0.399934\pi\) | |||||||
\(62\) | 0.838518 | + | 2.85573i | 0.106492 | + | 0.362678i | ||||
\(63\) | 2.29241 | − | 8.39084i | 0.288817 | − | 1.05715i | ||||
\(64\) | 0.415415 | + | 0.909632i | 0.0519269 | + | 0.113704i | ||||
\(65\) | −3.08716 | + | 1.06848i | −0.382916 | + | 0.132528i | ||||
\(66\) | −7.01538 | − | 3.53315i | −0.863534 | − | 0.434901i | ||||
\(67\) | 2.50245 | − | 7.79344i | 0.305723 | − | 0.952121i | ||||
\(68\) | − | 1.64817i | − | 0.199870i | ||||||
\(69\) | 2.06303 | + | 0.276742i | 0.248359 | + | 0.0333159i | ||||
\(70\) | −7.67146 | + | 3.50344i | −0.916915 | + | 0.418741i | ||||
\(71\) | −7.82369 | − | 9.94863i | −0.928501 | − | 1.18069i | −0.983264 | − | 0.182186i | \(-0.941683\pi\) |
0.0547629 | − | 0.998499i | \(-0.482560\pi\) | |||||||
\(72\) | −2.39279 | − | 1.80957i | −0.281993 | − | 0.213260i | ||||
\(73\) | 3.34144 | − | 3.18606i | 0.391086 | − | 0.372900i | −0.468870 | − | 0.883267i | \(-0.655339\pi\) |
0.859957 | + | 0.510367i | \(0.170490\pi\) | |||||||
\(74\) | 3.18324 | + | 0.613519i | 0.370044 | + | 0.0713201i | ||||
\(75\) | −3.04575 | − | 5.16209i | −0.351693 | − | 0.596067i | ||||
\(76\) | −0.543060 | + | 0.626725i | −0.0622933 | + | 0.0718903i | ||||
\(77\) | −10.7109 | + | 7.62718i | −1.22062 | + | 0.869198i | ||||
\(78\) | −1.83224 | + | 0.653600i | −0.207460 | + | 0.0740056i | ||||
\(79\) | −2.34491 | + | 4.54849i | −0.263823 | + | 0.511745i | −0.983121 | − | 0.182957i | \(-0.941433\pi\) |
0.719298 | + | 0.694701i | \(0.244464\pi\) | |||||||
\(80\) | 0.138401 | + | 2.90539i | 0.0154737 | + | 0.324832i | ||||
\(81\) | 8.89542 | + | 1.36801i | 0.988380 | + | 0.152001i | ||||
\(82\) | −1.75966 | − | 2.03076i | −0.194322 | − | 0.224260i | ||||
\(83\) | −8.71124 | − | 2.11332i | −0.956183 | − | 0.231967i | −0.272835 | − | 0.962061i | \(-0.587961\pi\) |
−0.683348 | + | 0.730093i | \(0.739477\pi\) | |||||||
\(84\) | −4.54825 | + | 2.12930i | −0.496255 | + | 0.232325i | ||||
\(85\) | 1.78175 | − | 4.45060i | 0.193258 | − | 0.482736i | ||||
\(86\) | 1.59019 | + | 8.25067i | 0.171474 | + | 0.889692i | ||||
\(87\) | 5.90048 | + | 11.1845i | 0.632598 | + | 1.19910i | ||||
\(88\) | 1.06917 | + | 4.40717i | 0.113974 | + | 0.469806i | ||||
\(89\) | 7.49486 | + | 3.42279i | 0.794453 | + | 0.362815i | 0.770939 | − | 0.636909i | \(-0.219787\pi\) |
0.0235140 | + | 0.999724i | \(0.492515\pi\) | |||||||
\(90\) | −4.50509 | − | 7.47316i | −0.474878 | − | 0.787740i | ||||
\(91\) | −0.463444 | + | 3.22333i | −0.0485822 | + | 0.337896i | ||||
\(92\) | −0.649719 | − | 1.01098i | −0.0677379 | − | 0.105402i | ||||
\(93\) | −0.441497 | + | 5.13615i | −0.0457811 | + | 0.532594i | ||||
\(94\) | 3.22346 | − | 10.9781i | 0.332475 | − | 1.13231i | ||||
\(95\) | −2.14396 | + | 1.10529i | −0.219966 | + | 0.113400i | ||||
\(96\) | 0.0987628 | + | 1.72923i | 0.0100799 | + | 0.176489i | ||||
\(97\) | −3.08866 | − | 1.78324i | −0.313606 | − | 0.181060i | 0.334933 | − | 0.942242i | \(-0.391286\pi\) |
−0.648539 | + | 0.761181i | \(0.724620\pi\) | |||||||
\(98\) | −0.0669393 | + | 1.40523i | −0.00676189 | + | 0.141949i | ||||
\(99\) | −9.10215 | − | 10.1117i | −0.914801 | − | 1.01627i | ||||
\(100\) | −1.13180 | + | 3.27011i | −0.113180 | + | 0.327011i | ||||
\(101\) | −3.34763 | + | 9.67235i | −0.333102 | + | 0.962435i | 0.646749 | + | 0.762703i | \(0.276128\pi\) |
−0.979851 | + | 0.199732i | \(0.935993\pi\) | |||||||
\(102\) | 1.03589 | − | 2.66014i | 0.102569 | − | 0.263393i | ||||
\(103\) | 0.645291 | − | 13.5463i | 0.0635824 | − | 1.33476i | −0.711405 | − | 0.702783i | \(-0.751941\pi\) |
0.774987 | − | 0.631977i | \(-0.217756\pi\) | |||||||
\(104\) | 0.972662 | + | 0.561567i | 0.0953774 | + | 0.0550661i | ||||
\(105\) | −14.5836 | + | 0.832924i | −1.42322 | + | 0.0812851i | ||||
\(106\) | 4.60590 | − | 2.37451i | 0.447364 | − | 0.230632i | ||||
\(107\) | 4.47405 | − | 15.2372i | 0.432522 | − | 1.47304i | −0.398692 | − | 0.917085i | \(-0.630536\pi\) |
0.831215 | − | 0.555951i | \(-0.187646\pi\) | |||||||
\(108\) | −2.72461 | − | 4.42453i | −0.262176 | − | 0.425751i | ||||
\(109\) | −5.13154 | − | 7.98483i | −0.491512 | − | 0.764808i | 0.503560 | − | 0.863960i | \(-0.332023\pi\) |
−0.995072 | + | 0.0991524i | \(0.968387\pi\) | |||||||
\(110\) | −1.87726 | + | 13.0566i | −0.178990 | + | 1.24490i | ||||
\(111\) | 4.75212 | + | 2.99092i | 0.451051 | + | 0.283885i | ||||
\(112\) | 2.63743 | + | 1.20448i | 0.249214 | + | 0.113812i | ||||
\(113\) | −2.84115 | − | 11.7114i | −0.267273 | − | 1.10171i | −0.934245 | − | 0.356631i | \(-0.883925\pi\) |
0.666972 | − | 0.745083i | \(-0.267590\pi\) | |||||||
\(114\) | −1.27040 | + | 0.670210i | −0.118984 | + | 0.0627709i | ||||
\(115\) | −0.661533 | − | 3.43236i | −0.0616883 | − | 0.320069i | ||||
\(116\) | 2.71346 | − | 6.77790i | 0.251939 | − | 0.629313i | ||||
\(117\) | −3.36801 | − | 0.0966762i | −0.311373 | − | 0.00893772i | ||||
\(118\) | 13.3586 | + | 3.24075i | 1.22975 | + | 0.298335i | ||||
\(119\) | −3.12945 | − | 3.61157i | −0.286876 | − | 0.331072i | ||||
\(120\) | −1.60269 | + | 4.77626i | −0.146305 | + | 0.436011i | ||||
\(121\) | 0.455181 | + | 9.55542i | 0.0413801 | + | 0.868675i | ||||
\(122\) | 6.45375 | − | 12.5185i | 0.584295 | − | 1.13337i | ||||
\(123\) | −1.56373 | − | 4.38359i | −0.140996 | − | 0.395255i | ||||
\(124\) | 2.42442 | − | 1.72642i | 0.217719 | − | 0.155037i | ||||
\(125\) | 2.93254 | − | 3.38433i | 0.262294 | − | 0.302704i | ||||
\(126\) | −8.67913 | + | 0.578044i | −0.773198 | + | 0.0514963i | ||||
\(127\) | −16.4616 | − | 3.17271i | −1.46073 | − | 0.281533i | −0.603870 | − | 0.797083i | \(-0.706375\pi\) |
−0.856859 | + | 0.515550i | \(0.827588\pi\) | |||||||
\(128\) | 0.723734 | − | 0.690079i | 0.0639697 | − | 0.0609949i | ||||
\(129\) | −2.61909 | + | 14.3160i | −0.230598 | + | 1.26045i | ||||
\(130\) | 2.01943 | + | 2.56791i | 0.177115 | + | 0.225220i | ||||
\(131\) | −3.28595 | + | 1.50064i | −0.287095 | + | 0.131112i | −0.553757 | − | 0.832678i | \(-0.686806\pi\) |
0.266662 | + | 0.963790i | \(0.414079\pi\) | |||||||
\(132\) | −1.04433 | + | 7.78512i | −0.0908970 | + | 0.677608i | ||||
\(133\) | 2.40445i | 0.208492i | ||||||||
\(134\) | −8.18328 | + | 0.184171i | −0.706928 | + | 0.0159100i | ||||
\(135\) | −2.57422 | − | 14.8931i | −0.221553 | − | 1.28180i | ||||
\(136\) | −1.55752 | + | 0.539064i | −0.133557 | + | 0.0462244i | ||||
\(137\) | −1.15522 | − | 2.52958i | −0.0986972 | − | 0.216117i | 0.853842 | − | 0.520532i | \(-0.174266\pi\) |
−0.952539 | + | 0.304415i | \(0.901539\pi\) | |||||||
\(138\) | −0.413228 | − | 2.04007i | −0.0351763 | − | 0.173663i | ||||
\(139\) | 0.837952 | + | 2.85380i | 0.0710742 | + | 0.242056i | 0.987366 | − | 0.158454i | \(-0.0506510\pi\) |
−0.916292 | + | 0.400511i | \(0.868833\pi\) | |||||||
\(140\) | 5.81984 | + | 6.10367i | 0.491866 | + | 0.515854i | ||||
\(141\) | 12.1025 | − | 15.6926i | 1.01922 | − | 1.32156i | ||||
\(142\) | −6.84259 | + | 10.6473i | −0.574217 | + | 0.893499i | ||||
\(143\) | 3.84935 | + | 3.33548i | 0.321898 | + | 0.278927i | ||||
\(144\) | −0.927440 | + | 2.85304i | −0.0772867 | + | 0.237754i | ||||
\(145\) | 14.6545 | − | 15.3692i | 1.21699 | − | 1.27634i | ||||
\(146\) | −4.10371 | − | 2.11561i | −0.339625 | − | 0.175089i | ||||
\(147\) | −0.991242 | + | 2.22596i | −0.0817562 | + | 0.183594i | ||||
\(148\) | −0.461359 | − | 3.20882i | −0.0379235 | − | 0.263764i | ||||
\(149\) | −4.85332 | + | 4.20543i | −0.397600 | + | 0.344522i | −0.830598 | − | 0.556873i | \(-0.812001\pi\) |
0.432998 | + | 0.901395i | \(0.357456\pi\) | |||||||
\(150\) | −3.88201 | + | 4.56659i | −0.316965 | + | 0.372860i | ||||
\(151\) | 14.4233 | + | 11.3426i | 1.17375 | + | 0.923048i | 0.998113 | − | 0.0614063i | \(-0.0195585\pi\) |
0.175639 | + | 0.984455i | \(0.443801\pi\) | |||||||
\(152\) | 0.769873 | + | 0.308211i | 0.0624449 | + | 0.0249992i | ||||
\(153\) | 3.34385 | − | 3.64237i | 0.270335 | − | 0.294468i | ||||
\(154\) | 10.7109 | + | 7.62718i | 0.863107 | + | 0.614616i | ||||
\(155\) | 8.41306 | − | 2.04099i | 0.675753 | − | 0.163936i | ||||
\(156\) | 1.21692 | + | 1.51769i | 0.0974315 | + | 0.121513i | ||||
\(157\) | −5.87292 | − | 0.560796i | −0.468710 | − | 0.0447564i | −0.141971 | − | 0.989871i | \(-0.545344\pi\) |
−0.326739 | + | 0.945114i | \(0.605950\pi\) | |||||||
\(158\) | 5.06527 | + | 0.728276i | 0.402971 | + | 0.0579385i | ||||
\(159\) | 8.92629 | − | 0.937576i | 0.707901 | − | 0.0743546i | ||||
\(160\) | 2.70033 | − | 1.08105i | 0.213480 | − | 0.0854643i | ||||
\(161\) | −3.34329 | − | 0.981679i | −0.263488 | − | 0.0773672i | ||||
\(162\) | −1.61664 | − | 8.85361i | −0.127015 | − | 0.695606i | ||||
\(163\) | −7.68668 | − | 13.3137i | −0.602067 | − | 1.04281i | −0.992508 | − | 0.122183i | \(-0.961011\pi\) |
0.390441 | − | 0.920628i | \(-0.372323\pi\) | |||||||
\(164\) | −1.34354 | + | 2.32708i | −0.104913 | + | 0.181714i | ||||
\(165\) | −11.2361 | + | 19.8934i | −0.874731 | + | 1.54870i | ||||
\(166\) | 0.852075 | + | 8.92333i | 0.0661338 | + | 0.692585i | ||||
\(167\) | 16.1749 | + | 5.59818i | 1.25165 | + | 0.433200i | 0.870892 | − | 0.491474i | \(-0.163542\pi\) |
0.380758 | + | 0.924675i | \(0.375663\pi\) | |||||||
\(168\) | 3.49977 | + | 3.60167i | 0.270013 | + | 0.277875i | ||||
\(169\) | −11.6854 | + | 1.11582i | −0.898878 | + | 0.0858325i | ||||
\(170\) | −4.78858 | − | 0.228108i | −0.367267 | − | 0.0174951i | ||||
\(171\) | −2.47165 | + | 0.283254i | −0.189012 | + | 0.0216610i | ||||
\(172\) | 7.27679 | − | 4.20125i | 0.554850 | − | 0.320343i | ||||
\(173\) | 8.97842 | + | 17.4157i | 0.682617 | + | 1.32409i | 0.934371 | + | 0.356301i | \(0.115962\pi\) |
−0.251755 | + | 0.967791i | \(0.581008\pi\) | |||||||
\(174\) | 8.63950 | − | 9.23405i | 0.654959 | − | 0.700031i | ||||
\(175\) | 3.72902 | + | 9.31465i | 0.281888 | + | 0.704121i | ||||
\(176\) | 3.81509 | − | 2.45181i | 0.287573 | − | 0.184812i | ||||
\(177\) | 19.5238 | + | 13.6265i | 1.46750 | + | 1.02423i | ||||
\(178\) | 0.783208 | − | 8.20213i | 0.0587039 | − | 0.614775i | ||||
\(179\) | 10.6765 | − | 23.3782i | 0.797996 | − | 1.74737i | 0.145802 | − | 0.989314i | \(-0.453424\pi\) |
0.652193 | − | 0.758053i | \(-0.273849\pi\) | |||||||
\(180\) | −5.58867 | + | 6.70154i | −0.416555 | + | 0.499504i | ||||
\(181\) | −7.36437 | + | 10.3418i | −0.547389 | + | 0.768701i | −0.991893 | − | 0.127076i | \(-0.959441\pi\) |
0.444504 | + | 0.895777i | \(0.353380\pi\) | |||||||
\(182\) | 3.19762 | − | 0.616291i | 0.237024 | − | 0.0456825i | ||||
\(183\) | 18.2843 | − | 16.1486i | 1.35162 | − | 1.19374i | ||||
\(184\) | −0.742877 | + | 0.944645i | −0.0547656 | + | 0.0696401i | ||||
\(185\) | 2.22307 | − | 9.16363i | 0.163444 | − | 0.673723i | ||||
\(186\) | 4.99806 | − | 1.26265i | 0.366476 | − | 0.0925823i | ||||
\(187\) | −7.39839 | + | 1.06373i | −0.541024 | + | 0.0777874i | ||||
\(188\) | −11.4286 | + | 0.544412i | −0.833517 | + | 0.0397053i | ||||
\(189\) | −14.3714 | − | 4.52197i | −1.04536 | − | 0.328925i | ||||
\(190\) | 1.74572 | + | 1.66454i | 0.126648 | + | 0.120758i | ||||
\(191\) | 8.48469 | + | 11.9151i | 0.613931 | + | 0.862145i | 0.998131 | − | 0.0611046i | \(-0.0194623\pi\) |
−0.384201 | + | 0.923250i | \(0.625523\pi\) | |||||||
\(192\) | 1.60182 | − | 0.658908i | 0.115602 | − | 0.0475526i | ||||
\(193\) | 20.4901 | + | 13.1682i | 1.47491 | + | 0.947869i | 0.997608 | + | 0.0691319i | \(0.0220229\pi\) |
0.477306 | + | 0.878737i | \(0.341613\pi\) | |||||||
\(194\) | −0.674960 | + | 3.50203i | −0.0484593 | + | 0.251431i | ||||
\(195\) | 1.64538 | + | 5.41382i | 0.117828 | + | 0.387692i | ||||
\(196\) | 1.34984 | − | 0.396347i | 0.0964168 | − | 0.0283105i | ||||
\(197\) | 10.7228 | − | 8.43253i | 0.763970 | − | 0.600793i | −0.158276 | − | 0.987395i | \(-0.550594\pi\) |
0.922247 | + | 0.386602i | \(0.126351\pi\) | |||||||
\(198\) | −6.57858 | + | 11.9088i | −0.467519 | + | 0.846319i | ||||
\(199\) | 4.67250 | + | 13.5003i | 0.331225 | + | 0.957010i | 0.980511 | + | 0.196466i | \(0.0629466\pi\) |
−0.649286 | + | 0.760544i | \(0.724932\pi\) | |||||||
\(200\) | 3.46043 | 0.244690 | ||||||||
\(201\) | −13.3235 | − | 4.84603i | −0.939768 | − | 0.341813i | ||||
\(202\) | 10.2353 | 0.720152 | ||||||||
\(203\) | −6.92356 | − | 20.0043i | −0.485938 | − | 1.40403i | ||||
\(204\) | −2.85264 | − | 0.108876i | −0.199725 | − | 0.00762282i | ||||
\(205\) | −6.14367 | + | 4.83144i | −0.429093 | + | 0.337442i | ||||
\(206\) | −13.0123 | + | 3.82077i | −0.906613 | + | 0.266206i | ||||
\(207\) | 0.615263 | − | 3.55238i | 0.0427638 | − | 0.246908i | ||||
\(208\) | 0.212554 | − | 1.10284i | 0.0147380 | − | 0.0764680i | ||||
\(209\) | 3.16376 | + | 2.03322i | 0.218842 | + | 0.140641i | ||||
\(210\) | 5.55695 | + | 13.5091i | 0.383466 | + | 0.932218i | ||||
\(211\) | 14.2455 | + | 20.0050i | 0.980702 | + | 1.37720i | 0.925508 | + | 0.378728i | \(0.123638\pi\) |
0.0551943 | + | 0.998476i | \(0.482422\pi\) | |||||||
\(212\) | −3.75035 | − | 3.57595i | −0.257575 | − | 0.245598i | ||||
\(213\) | −17.7358 | + | 12.8840i | −1.21524 | + | 0.882796i | ||||
\(214\) | −15.8625 | + | 0.755623i | −1.08434 | + | 0.0516533i | ||||
\(215\) | 24.1915 | − | 3.47821i | 1.64984 | − | 0.237212i | ||||
\(216\) | −3.29005 | + | 4.02188i | −0.223860 | + | 0.273655i | ||||
\(217\) | 2.03451 | − | 8.38636i | 0.138111 | − | 0.569303i | ||||
\(218\) | −5.86731 | + | 7.46089i | −0.397384 | + | 0.505315i | ||||
\(219\) | −5.29367 | − | 5.99381i | −0.357713 | − | 0.405024i | ||||
\(220\) | 12.9525 | − | 2.49639i | 0.873258 | − | 0.168307i | ||||
\(221\) | −1.07375 | + | 1.50788i | −0.0722285 | + | 0.101431i | ||||
\(222\) | 1.27215 | − | 5.46899i | 0.0853813 | − | 0.367055i | ||||
\(223\) | −8.16390 | + | 17.8764i | −0.546695 | + | 1.19710i | 0.411613 | + | 0.911359i | \(0.364966\pi\) |
−0.958308 | + | 0.285737i | \(0.907762\pi\) | |||||||
\(224\) | 0.275610 | − | 2.88632i | 0.0184150 | − | 0.192851i | ||||
\(225\) | −9.13570 | + | 4.93055i | −0.609046 | + | 0.328704i | ||||
\(226\) | −10.1380 | + | 6.51531i | −0.674371 | + | 0.433392i | ||||
\(227\) | −8.46882 | − | 21.1541i | −0.562096 | − | 1.40405i | −0.888526 | − | 0.458826i | \(-0.848270\pi\) |
0.326431 | − | 0.945221i | \(-0.394154\pi\) | |||||||
\(228\) | 1.04886 | + | 0.981324i | 0.0694622 | + | 0.0649898i | ||||
\(229\) | −2.31719 | − | 4.49472i | −0.153124 | − | 0.297020i | 0.799779 | − | 0.600295i | \(-0.204950\pi\) |
−0.952903 | + | 0.303275i | \(0.901920\pi\) | |||||||
\(230\) | −3.02722 | + | 1.74776i | −0.199609 | + | 0.115244i | ||||
\(231\) | 12.4935 | + | 19.0421i | 0.822013 | + | 1.25288i | ||||
\(232\) | −7.29261 | − | 0.347390i | −0.478783 | − | 0.0228073i | ||||
\(233\) | 20.9539 | − | 2.00086i | 1.37274 | − | 0.131080i | 0.617520 | − | 0.786555i | \(-0.288138\pi\) |
0.755217 | + | 0.655475i | \(0.227532\pi\) | |||||||
\(234\) | 1.01021 | + | 3.21439i | 0.0660395 | + | 0.210132i | ||||
\(235\) | −31.4495 | − | 10.8848i | −2.05154 | − | 0.710045i | ||||
\(236\) | −1.30664 | − | 13.6838i | −0.0850552 | − | 0.890739i | ||||
\(237\) | 7.71758 | + | 4.35901i | 0.501311 | + | 0.283148i | ||||
\(238\) | −2.38940 | + | 4.13856i | −0.154882 | + | 0.268263i | ||||
\(239\) | 2.41198 | + | 4.17768i | 0.156018 | + | 0.270231i | 0.933429 | − | 0.358761i | \(-0.116801\pi\) |
−0.777411 | + | 0.628993i | \(0.783467\pi\) | |||||||
\(240\) | 5.03776 | − | 0.0476172i | 0.325186 | − | 0.00307368i | ||||
\(241\) | 5.99604 | + | 1.76060i | 0.386239 | + | 0.113410i | 0.469086 | − | 0.883152i | \(-0.344583\pi\) |
−0.0828476 | + | 0.996562i | \(0.526401\pi\) | |||||||
\(242\) | 8.88101 | − | 3.55542i | 0.570893 | − | 0.228551i | ||||
\(243\) | 2.95535 | − | 15.3057i | 0.189586 | − | 0.981864i | ||||
\(244\) | −13.9408 | − | 2.00439i | −0.892470 | − | 0.128318i | ||||
\(245\) | 4.07347 | + | 0.388969i | 0.260244 | + | 0.0248503i | ||||
\(246\) | −3.63106 | + | 2.91146i | −0.231508 | + | 0.185628i | ||||
\(247\) | 0.905133 | − | 0.219583i | 0.0575922 | − | 0.0139717i | ||||
\(248\) | −2.42442 | − | 1.72642i | −0.153951 | − | 0.109628i | ||||
\(249\) | −4.23317 | + | 14.9377i | −0.268266 | + | 0.946640i | ||||
\(250\) | −4.15734 | − | 1.66435i | −0.262933 | − | 0.105263i | ||||
\(251\) | −12.4682 | − | 9.80512i | −0.786988 | − | 0.618894i | 0.141635 | − | 0.989919i | \(-0.454764\pi\) |
−0.928623 | + | 0.371025i | \(0.879006\pi\) | |||||||
\(252\) | 3.38492 | + | 8.01272i | 0.213230 | + | 0.504754i | ||||
\(253\) | −4.11881 | + | 3.56897i | −0.258948 | + | 0.224379i | ||||
\(254\) | 2.38584 | + | 16.5939i | 0.149701 | + | 1.04119i | ||||
\(255\) | −7.58536 | − | 3.37784i | −0.475014 | − | 0.211529i | ||||
\(256\) | −0.888835 | − | 0.458227i | −0.0555522 | − | 0.0286392i | ||||
\(257\) | 8.25162 | − | 8.65405i | 0.514722 | − | 0.539825i | −0.414159 | − | 0.910205i | \(-0.635924\pi\) |
0.928880 | + | 0.370380i | \(0.120773\pi\) | |||||||
\(258\) | 14.3852 | − | 2.20725i | 0.895585 | − | 0.137418i | ||||
\(259\) | −7.10367 | − | 6.15537i | −0.441401 | − | 0.382476i | ||||
\(260\) | 1.76619 | − | 2.74824i | 0.109534 | − | 0.170439i | ||||
\(261\) | 19.7478 | − | 9.47366i | 1.22236 | − | 0.586405i | ||||
\(262\) | 2.49284 | + | 2.61441i | 0.154008 | + | 0.161519i | ||||
\(263\) | 0.887544 | + | 3.02270i | 0.0547283 | + | 0.186388i | 0.982321 | − | 0.187207i | \(-0.0599434\pi\) |
−0.927592 | + | 0.373594i | \(0.878125\pi\) | |||||||
\(264\) | 7.69851 | − | 1.55937i | 0.473811 | − | 0.0959729i | ||||
\(265\) | −6.26140 | − | 13.7106i | −0.384635 | − | 0.842233i | ||||
\(266\) | 2.27220 | − | 0.786417i | 0.139318 | − | 0.0482183i | ||||
\(267\) | 6.41922 | − | 12.7459i | 0.392850 | − | 0.780038i | ||||
\(268\) | 2.85053 | + | 7.67297i | 0.174124 | + | 0.468701i | ||||
\(269\) | 15.3072i | 0.933299i | 0.884442 | + | 0.466649i | \(0.154539\pi\) | ||||
−0.884442 | + | 0.466649i | \(0.845461\pi\) | |||||||
\(270\) | −13.2321 | + | 7.30370i | −0.805278 | + | 0.444489i | ||||
\(271\) | 8.30658 | − | 3.79349i | 0.504589 | − | 0.230438i | −0.146823 | − | 0.989163i | \(-0.546905\pi\) |
0.651411 | + | 0.758725i | \(0.274177\pi\) | |||||||
\(272\) | 1.01883 | + | 1.29555i | 0.0617758 | + | 0.0785543i | ||||
\(273\) | 5.54829 | + | 1.01505i | 0.335798 | + | 0.0614338i | ||||
\(274\) | −2.01262 | + | 1.91903i | −0.121587 | + | 0.115933i | ||||
\(275\) | 15.4095 | + | 2.96993i | 0.929227 | + | 0.179094i | ||||
\(276\) | −1.79272 | + | 1.05774i | −0.107909 | + | 0.0636687i | ||||
\(277\) | 13.5327 | − | 15.6175i | 0.813098 | − | 0.938365i | −0.185924 | − | 0.982564i | \(-0.559528\pi\) |
0.999023 | + | 0.0441986i | \(0.0140734\pi\) | |||||||
\(278\) | 2.42278 | − | 1.72525i | 0.145309 | − | 0.103474i | ||||
\(279\) | 8.86043 | + | 1.10342i | 0.530460 | + | 0.0660603i | ||||
\(280\) | 3.86449 | − | 7.49607i | 0.230948 | − | 0.447976i | ||||
\(281\) | −0.206810 | − | 4.34148i | −0.0123372 | − | 0.258991i | −0.996606 | − | 0.0823150i | \(-0.973769\pi\) |
0.984269 | − | 0.176676i | \(-0.0565344\pi\) | |||||||
\(282\) | −18.7879 | − | 6.30434i | −1.11880 | − | 0.375418i | ||||
\(283\) | 14.0406 | + | 16.2037i | 0.834624 | + | 0.963208i | 0.999734 | − | 0.0230675i | \(-0.00734328\pi\) |
−0.165110 | + | 0.986275i | \(0.552798\pi\) | |||||||
\(284\) | 12.2997 | + | 2.98387i | 0.729851 | + | 0.177060i | ||||
\(285\) | 1.77140 | + | 3.78376i | 0.104928 | + | 0.224131i | ||||
\(286\) | 1.89303 | − | 4.72856i | 0.111937 | − | 0.279606i | ||||
\(287\) | 1.47447 | + | 7.65025i | 0.0870350 | + | 0.451580i | ||||
\(288\) | 2.99946 | − | 0.0567073i | 0.176745 | − | 0.00334151i | ||||
\(289\) | 3.36747 | + | 13.8809i | 0.198086 | + | 0.816523i | ||||
\(290\) | −19.3169 | − | 8.82173i | −1.13433 | − | 0.518030i | ||||
\(291\) | −3.29045 | + | 5.22803i | −0.192889 | + | 0.306472i | ||||
\(292\) | −0.657061 | + | 4.56996i | −0.0384516 | + | 0.267436i | ||||
\(293\) | 5.33830 | + | 8.30655i | 0.311867 | + | 0.485274i | 0.961436 | − | 0.275028i | \(-0.0886872\pi\) |
−0.649570 | + | 0.760302i | \(0.725051\pi\) | |||||||
\(294\) | 2.42773 | + | 0.208685i | 0.141588 | + | 0.0121708i | ||||
\(295\) | 11.2645 | − | 38.3632i | 0.655843 | − | 2.23359i | ||||
\(296\) | −2.88145 | + | 1.48549i | −0.167481 | + | 0.0863423i | ||||
\(297\) | −18.1026 | + | 15.0860i | −1.05042 | + | 0.875376i | ||||
\(298\) | 5.56150 | + | 3.21093i | 0.322169 | + | 0.186004i | ||||
\(299\) | −0.0642229 | + | 1.34820i | −0.00371411 | + | 0.0779687i | ||||
\(300\) | 5.58511 | + | 2.17492i | 0.322457 | + | 0.125569i | ||||
\(301\) | 7.96825 | − | 23.0227i | 0.459282 | − | 1.32701i | ||||
\(302\) | 6.00138 | − | 17.3398i | 0.345340 | − | 0.997795i | ||||
\(303\) | 16.5197 | + | 6.43300i | 0.949031 | + | 0.369566i | ||||
\(304\) | 0.0394585 | − | 0.828336i | 0.00226310 | − | 0.0475084i | ||||
\(305\) | −35.4780 | − | 20.4832i | −2.03146 | − | 1.17286i | ||||
\(306\) | −4.53571 | − | 1.96864i | −0.259289 | − | 0.112540i | ||||
\(307\) | −12.2249 | + | 6.30240i | −0.697714 | + | 0.359697i | −0.770314 | − | 0.637664i | \(-0.779901\pi\) |
0.0726000 | + | 0.997361i | \(0.476870\pi\) | |||||||
\(308\) | 3.70451 | − | 12.6164i | 0.211084 | − | 0.718886i | ||||
\(309\) | −23.4032 | − | 2.01171i | −1.33136 | − | 0.114442i | ||||
\(310\) | −4.68037 | − | 7.28280i | −0.265827 | − | 0.413636i | ||||
\(311\) | 0.662570 | − | 4.60828i | 0.0375709 | − | 0.261311i | −0.962375 | − | 0.271725i | \(-0.912406\pi\) |
0.999946 | + | 0.0104139i | \(0.00331489\pi\) | |||||||
\(312\) | 1.03621 | − | 1.64638i | 0.0586637 | − | 0.0932078i | ||||
\(313\) | 14.2305 | + | 6.49883i | 0.804353 | + | 0.367336i | 0.774783 | − | 0.632227i | \(-0.217859\pi\) |
0.0295698 | + | 0.999563i | \(0.490586\pi\) | |||||||
\(314\) | 1.39089 | + | 5.73334i | 0.0784926 | + | 0.323551i | ||||
\(315\) | 0.478245 | + | 25.2962i | 0.0269461 | + | 1.42528i | ||||
\(316\) | −0.968466 | − | 5.02488i | −0.0544805 | − | 0.282672i | ||||
\(317\) | 0.825517 | − | 2.06204i | 0.0463656 | − | 0.115816i | −0.903377 | − | 0.428847i | \(-0.858920\pi\) |
0.949743 | + | 0.313031i | \(0.101344\pi\) | |||||||
\(318\) | −3.80551 | − | 8.12870i | −0.213403 | − | 0.455835i | ||||
\(319\) | −32.1762 | − | 7.80587i | −1.80152 | − | 0.437045i | ||||
\(320\) | −1.90478 | − | 2.19824i | −0.106481 | − | 0.122885i | ||||
\(321\) | −26.0769 | − | 8.75018i | −1.45547 | − | 0.488388i | ||||
\(322\) | 0.165796 | + | 3.48049i | 0.00923946 | + | 0.193960i | ||||
\(323\) | −0.626299 | + | 1.21485i | −0.0348482 | + | 0.0675961i | ||||
\(324\) | −7.83792 | + | 4.42346i | −0.435440 | + | 0.245748i | ||||
\(325\) | 3.16587 | − | 2.25441i | 0.175611 | − | 0.125052i | ||||
\(326\) | −10.0674 | + | 11.6184i | −0.557582 | + | 0.643484i | ||||
\(327\) | −14.1590 | + | 8.35415i | −0.782997 | + | 0.461986i | ||||
\(328\) | 2.63852 | + | 0.508533i | 0.145688 | + | 0.0280790i | ||||
\(329\) | −24.0094 | + | 22.8929i | −1.32368 | + | 1.26213i | ||||
\(330\) | 22.4743 | + | 4.11164i | 1.23717 | + | 0.226338i | ||||
\(331\) | −5.27417 | − | 6.70666i | −0.289895 | − | 0.368631i | 0.619191 | − | 0.785241i | \(-0.287461\pi\) |
−0.909086 | + | 0.416609i | \(0.863218\pi\) | |||||||
\(332\) | 8.15387 | − | 3.72375i | 0.447502 | − | 0.204367i | ||||
\(333\) | 5.49057 | − | 8.02735i | 0.300881 | − | 0.439896i | ||||
\(334\) | − | 17.1163i | − | 0.936560i | ||||||
\(335\) | −0.597483 | + | 23.8011i | −0.0326440 | + | 1.30039i | ||||
\(336\) | 2.25892 | − | 4.48528i | 0.123234 | − | 0.244692i | ||||
\(337\) | 15.5816 | − | 5.39284i | 0.848783 | − | 0.293767i | 0.132161 | − | 0.991228i | \(-0.457809\pi\) |
0.716622 | + | 0.697462i | \(0.245687\pi\) | |||||||
\(338\) | 4.87638 | + | 10.6778i | 0.265240 | + | 0.580795i | ||||
\(339\) | −20.4576 | + | 4.14380i | −1.11111 | + | 0.225060i | ||||
\(340\) | 1.35063 | + | 4.59982i | 0.0732481 | + | 0.249460i | ||||
\(341\) | −9.31434 | − | 9.76860i | −0.504400 | − | 0.528999i | ||||
\(342\) | 1.07607 | + | 2.24307i | 0.0581873 | + | 0.121291i | ||||
\(343\) | −8.76765 | + | 13.6427i | −0.473409 | + | 0.736639i | ||||
\(344\) | −6.35019 | − | 5.50247i | −0.342379 | − | 0.296674i | ||||
\(345\) | −5.98440 | + | 0.918239i | −0.322189 | + | 0.0494363i | ||||
\(346\) | 13.5213 | − | 14.1807i | 0.726910 | − | 0.762361i | ||||
\(347\) | −6.74957 | − | 3.47964i | −0.362336 | − | 0.186797i | 0.267439 | − | 0.963575i | \(-0.413823\pi\) |
−0.629775 | + | 0.776778i | \(0.716853\pi\) | |||||||
\(348\) | −11.5519 | − | 5.14417i | −0.619246 | − | 0.275757i | ||||
\(349\) | −2.40880 | − | 16.7536i | −0.128940 | − | 0.896798i | −0.946901 | − | 0.321525i | \(-0.895805\pi\) |
0.817961 | − | 0.575274i | \(-0.195104\pi\) | |||||||
\(350\) | 7.58271 | − | 6.57045i | 0.405313 | − | 0.351205i | ||||
\(351\) | −0.389812 | + | 5.82294i | −0.0208066 | + | 0.310806i | ||||
\(352\) | −3.56475 | − | 2.80335i | −0.190002 | − | 0.149419i | ||||
\(353\) | 18.7390 | + | 7.50198i | 0.997378 | + | 0.399290i | 0.812177 | − | 0.583411i | \(-0.198282\pi\) |
0.185201 | + | 0.982701i | \(0.440706\pi\) | |||||||
\(354\) | 6.49150 | − | 22.9068i | 0.345020 | − | 1.21748i | ||||
\(355\) | 29.9874 | + | 21.3540i | 1.59157 | + | 1.13335i | ||||
\(356\) | −8.00718 | + | 1.94252i | −0.424380 | + | 0.102953i | ||||
\(357\) | −6.45760 | + | 5.17784i | −0.341773 | + | 0.274040i | ||||
\(358\) | −25.5843 | − | 2.44301i | −1.35217 | − | 0.129117i | ||||
\(359\) | −23.6088 | − | 3.39444i | −1.24603 | − | 0.179152i | −0.512426 | − | 0.858732i | \(-0.671253\pi\) |
−0.733601 | + | 0.679580i | \(0.762162\pi\) | |||||||
\(360\) | 8.16084 | + | 3.08944i | 0.430114 | + | 0.162828i | ||||
\(361\) | −17.0006 | + | 6.80600i | −0.894766 | + | 0.358210i | ||||
\(362\) | 12.1817 | + | 3.57686i | 0.640254 | + | 0.187996i | ||||
\(363\) | 16.5685 | − | 0.156606i | 0.869621 | − | 0.00821970i | ||||
\(364\) | −1.62824 | − | 2.82019i | −0.0853427 | − | 0.147818i | ||||
\(365\) | −6.71462 | + | 11.6301i | −0.351459 | + | 0.608745i | ||||
\(366\) | −21.2406 | − | 11.9970i | −1.11026 | − | 0.627095i | ||||
\(367\) | −1.88667 | − | 19.7581i | −0.0984835 | − | 1.03137i | −0.900732 | − | 0.434375i | \(-0.856969\pi\) |
0.802248 | − | 0.596990i | \(-0.203637\pi\) | |||||||
\(368\) | 1.13566 | + | 0.393056i | 0.0592004 | + | 0.0204895i | ||||
\(369\) | −7.69038 | + | 2.41691i | −0.400345 | + | 0.125819i | ||||
\(370\) | −9.38673 | + | 0.896324i | −0.487993 | + | 0.0465977i | ||||
\(371\) | −15.0078 | − | 0.714909i | −0.779166 | − | 0.0371162i | ||||
\(372\) | −2.82792 | − | 4.31020i | −0.146621 | − | 0.223473i | ||||
\(373\) | −18.8008 | + | 10.8546i | −0.973468 | + | 0.562032i | −0.900292 | − | 0.435287i | \(-0.856647\pi\) |
−0.0731763 | + | 0.997319i | \(0.523314\pi\) | |||||||
\(374\) | 3.42500 | + | 6.64357i | 0.177102 | + | 0.343531i | ||||
\(375\) | −5.66385 | − | 5.29918i | −0.292480 | − | 0.273648i | ||||
\(376\) | 4.25240 | + | 10.6220i | 0.219301 | + | 0.547787i | ||||
\(377\) | −6.89816 | + | 4.43318i | −0.355274 | + | 0.228320i | ||||
\(378\) | 0.427144 | + | 15.0599i | 0.0219699 | + | 0.774600i | ||||
\(379\) | −1.30059 | + | 13.6204i | −0.0668068 | + | 0.699632i | 0.898580 | + | 0.438810i | \(0.144600\pi\) |
−0.965387 | + | 0.260823i | \(0.916006\pi\) | |||||||
\(380\) | 1.00202 | − | 2.19412i | 0.0514027 | − | 0.112556i | ||||
\(381\) | −6.57872 | + | 28.2820i | −0.337038 | + | 1.44893i | ||||
\(382\) | 8.48469 | − | 11.9151i | 0.434115 | − | 0.609629i | ||||
\(383\) | 22.7602 | − | 4.38667i | 1.16299 | − | 0.224148i | 0.428999 | − | 0.903305i | \(-0.358866\pi\) |
0.733994 | + | 0.679156i | \(0.237654\pi\) | |||||||
\(384\) | −1.14657 | − | 1.29822i | −0.0585108 | − | 0.0662494i | ||||
\(385\) | 23.6423 | − | 30.0637i | 1.20492 | − | 1.53219i | ||||
\(386\) | 5.74231 | − | 23.6701i | 0.292276 | − | 1.20478i | ||||
\(387\) | 24.6049 | + | 5.47879i | 1.25074 | + | 0.278502i | ||||
\(388\) | 3.53018 | − | 0.507563i | 0.179218 | − | 0.0257676i | ||||
\(389\) | 7.21802 | − | 0.343837i | 0.365968 | − | 0.0174332i | 0.136207 | − | 0.990680i | \(-0.456509\pi\) |
0.229761 | + | 0.973247i | \(0.426206\pi\) | |||||||
\(390\) | 4.57791 | − | 3.32557i | 0.231812 | − | 0.168397i | ||||
\(391\) | −1.43350 | − | 1.36684i | −0.0724953 | − | 0.0691241i | ||||
\(392\) | −0.816037 | − | 1.14596i | −0.0412161 | − | 0.0578799i | ||||
\(393\) | 2.38023 | + | 5.78642i | 0.120067 | + | 0.291886i | ||||
\(394\) | −11.4758 | − | 7.37508i | −0.578145 | − | 0.371551i | ||||
\(395\) | 2.81696 | − | 14.6158i | 0.141737 | − | 0.735400i | ||||
\(396\) | 13.4054 | + | 2.32179i | 0.673648 | + | 0.116674i | ||||
\(397\) | −8.67105 | + | 2.54605i | −0.435188 | + | 0.127783i | −0.491986 | − | 0.870603i | \(-0.663729\pi\) |
0.0567985 | + | 0.998386i | \(0.481911\pi\) | |||||||
\(398\) | 11.2296 | − | 8.83103i | 0.562887 | − | 0.442659i | ||||
\(399\) | 4.16159 | + | 0.158834i | 0.208340 | + | 0.00795164i | ||||
\(400\) | −1.13180 | − | 3.27011i | −0.0565898 | − | 0.163506i | ||||
\(401\) | 31.9208 | 1.59405 | 0.797024 | − | 0.603948i | \(-0.206407\pi\) | ||||
0.797024 | + | 0.603948i | \(0.206407\pi\) | |||||||
\(402\) | −0.221813 | + | 14.1757i | −0.0110630 | + | 0.707020i | ||||
\(403\) | −3.34277 | −0.166515 | ||||||||
\(404\) | −3.34763 | − | 9.67235i | −0.166551 | − | 0.481218i | ||||
\(405\) | −25.9469 | + | 3.47162i | −1.28931 | + | 0.172506i | ||||
\(406\) | −16.6396 | + | 13.0855i | −0.825810 | + | 0.649424i | ||||
\(407\) | −14.1062 | + | 4.14194i | −0.699216 | + | 0.205308i | ||||
\(408\) | 0.830120 | + | 2.73136i | 0.0410970 | + | 0.135222i | ||||
\(409\) | 3.21291 | − | 16.6701i | 0.158868 | − | 0.824286i | −0.811814 | − | 0.583917i | \(-0.801519\pi\) |
0.970682 | − | 0.240369i | \(-0.0772685\pi\) | |||||||
\(410\) | 6.57511 | + | 4.22557i | 0.324722 | + | 0.208686i | ||||
\(411\) | −4.45449 | + | 1.83235i | −0.219724 | + | 0.0903829i | ||||
\(412\) | 7.86655 | + | 11.0470i | 0.387557 | + | 0.544248i | ||||
\(413\) | −28.8451 | − | 27.5038i | −1.41938 | − | 1.35337i | ||||
\(414\) | −3.55824 | + | 0.580446i | −0.174878 | + | 0.0285274i | ||||
\(415\) | 26.0437 | − | 1.24061i | 1.27843 | − | 0.0608993i | ||||
\(416\) | −1.11170 | + | 0.159839i | −0.0545057 | + | 0.00783673i | ||||
\(417\) | 4.99469 | − | 1.26180i | 0.244591 | − | 0.0617907i | ||||
\(418\) | 0.886635 | − | 3.65476i | 0.0433667 | − | 0.178760i | ||||
\(419\) | −14.3175 | + | 18.2062i | −0.699456 | + | 0.889431i | −0.997885 | − | 0.0650009i | \(-0.979295\pi\) |
0.298429 | + | 0.954432i | \(0.403537\pi\) | |||||||
\(420\) | 10.9486 | − | 9.66972i | 0.534238 | − | 0.471834i | ||||
\(421\) | 15.9634 | − | 3.07669i | 0.778008 | − | 0.149949i | 0.215237 | − | 0.976562i | \(-0.430947\pi\) |
0.562771 | + | 0.826613i | \(0.309735\pi\) | |||||||
\(422\) | 14.2455 | − | 20.0050i | 0.693461 | − | 0.973830i | ||||
\(423\) | −26.3611 | − | 21.9835i | −1.28172 | − | 1.06888i | ||||
\(424\) | −2.15266 | + | 4.71367i | −0.104542 | + | 0.228916i | ||||
\(425\) | −0.542141 | + | 5.67756i | −0.0262977 | + | 0.275402i | ||||
\(426\) | 17.9762 | + | 12.5464i | 0.870949 | + | 0.607876i | ||||
\(427\) | −34.3538 | + | 22.0778i | −1.66250 | + | 1.06842i | ||||
\(428\) | 5.90218 | + | 14.7429i | 0.285292 | + | 0.712626i | ||||
\(429\) | 6.02729 | − | 6.44208i | 0.291001 | − | 0.311026i | ||||
\(430\) | −11.1992 | − | 21.7233i | −0.540072 | − | 1.04759i | ||||
\(431\) | −27.0753 | + | 15.6319i | −1.30417 | + | 0.752963i | −0.981117 | − | 0.193417i | \(-0.938043\pi\) |
−0.323054 | + | 0.946381i | \(0.604710\pi\) | |||||||
\(432\) | 4.87675 | + | 1.79367i | 0.234633 | + | 0.0862981i | ||||
\(433\) | 23.1128 | + | 1.10100i | 1.11073 | + | 0.0529106i | 0.594914 | − | 0.803789i | \(-0.297186\pi\) |
0.515815 | + | 0.856700i | \(0.327489\pi\) | |||||||
\(434\) | −8.59054 | + | 0.820297i | −0.412359 | + | 0.0393755i | ||||
\(435\) | −25.6328 | − | 26.3791i | −1.22900 | − | 1.26478i | ||||
\(436\) | 8.96955 | + | 3.10439i | 0.429564 | + | 0.148673i | ||||
\(437\) | 0.0947317 | + | 0.992075i | 0.00453163 | + | 0.0474574i | ||||
\(438\) | −3.93276 | + | 6.96291i | −0.187915 | + | 0.332701i | ||||
\(439\) | 1.11509 | − | 1.93139i | 0.0532202 | − | 0.0921801i | −0.838188 | − | 0.545381i | \(-0.816385\pi\) |
0.891408 | + | 0.453201i | \(0.149718\pi\) | |||||||
\(440\) | −6.59544 | − | 11.4236i | −0.314425 | − | 0.544601i | ||||
\(441\) | 3.78718 | + | 1.86267i | 0.180342 | + | 0.0886988i | ||||
\(442\) | 1.77613 | + | 0.521520i | 0.0844821 | + | 0.0248062i | ||||
\(443\) | −16.7180 | + | 6.69287i | −0.794296 | + | 0.317988i | −0.733085 | − | 0.680137i | \(-0.761920\pi\) |
−0.0612106 | + | 0.998125i | \(0.519496\pi\) | |||||||
\(444\) | −5.58428 | + | 0.586546i | −0.265018 | + | 0.0278363i | ||||
\(445\) | −23.7220 | − | 3.41070i | −1.12453 | − | 0.161683i | ||||
\(446\) | 19.5634 | + | 1.86808i | 0.926354 | + | 0.0884561i | ||||
\(447\) | 6.95812 | + | 8.67789i | 0.329108 | + | 0.410450i | ||||
\(448\) | −2.81772 | + | 0.683572i | −0.133125 | + | 0.0322957i | ||||
\(449\) | 13.3952 | + | 9.53866i | 0.632157 | + | 0.450157i | 0.850687 | − | 0.525673i | \(-0.176187\pi\) |
−0.218529 | + | 0.975830i | \(0.570126\pi\) | |||||||
\(450\) | 7.64737 | + | 7.02062i | 0.360501 | + | 0.330955i | ||||
\(451\) | 11.3130 | + | 4.52904i | 0.532708 | + | 0.213264i | ||||
\(452\) | 9.47279 | + | 7.44948i | 0.445563 | + | 0.350394i | ||||
\(453\) | 20.5845 | − | 24.2144i | 0.967142 | − | 1.13769i | ||||
\(454\) | −17.2208 | + | 14.9219i | −0.808210 | + | 0.700318i | ||||
\(455\) | −1.34801 | − | 9.37563i | −0.0631958 | − | 0.439536i | ||||
\(456\) | 0.584305 | − | 1.31213i | 0.0273626 | − | 0.0614461i | ||||
\(457\) | −11.2681 | − | 5.80909i | −0.527098 | − | 0.271738i | 0.174071 | − | 0.984733i | \(-0.444308\pi\) |
−0.701169 | + | 0.712995i | \(0.747338\pi\) | |||||||
\(458\) | −3.48964 | + | 3.65983i | −0.163060 | + | 0.171012i | ||||
\(459\) | −6.08329 | − | 6.02812i | −0.283944 | − | 0.281369i | ||||
\(460\) | 2.64174 | + | 2.28908i | 0.123172 | + | 0.106729i | ||||
\(461\) | 10.5345 | − | 16.3920i | 0.490640 | − | 0.763450i | −0.504342 | − | 0.863504i | \(-0.668265\pi\) |
0.994982 | + | 0.100053i | \(0.0319014\pi\) | |||||||
\(462\) | 13.9086 | − | 18.0345i | 0.647087 | − | 0.839039i | ||||
\(463\) | 3.27497 | + | 3.43469i | 0.152201 | + | 0.159624i | 0.795420 | − | 0.606058i | \(-0.207250\pi\) |
−0.643219 | + | 0.765682i | \(0.722402\pi\) | |||||||
\(464\) | 2.05690 | + | 7.00514i | 0.0954890 | + | 0.325206i | ||||
\(465\) | −2.97677 | − | 14.6961i | −0.138044 | − | 0.681514i | ||||
\(466\) | −8.74416 | − | 19.1471i | −0.405066 | − | 0.886970i | ||||
\(467\) | −2.64373 | + | 0.915005i | −0.122337 | + | 0.0423414i | −0.387551 | − | 0.921848i | \(-0.626679\pi\) |
0.265213 | + | 0.964190i | \(0.414558\pi\) | |||||||
\(468\) | 2.70720 | − | 2.00597i | 0.125140 | − | 0.0927262i | ||||
\(469\) | 20.8152 | + | 11.4011i | 0.961157 | + | 0.526452i | ||||
\(470\) | 33.2799i | 1.53509i | ||||||||
\(471\) | −1.35858 | + | 10.1278i | −0.0625999 | + | 0.466662i | ||||
\(472\) | −12.5038 | + | 5.71031i | −0.575535 | + | 0.262838i | ||||
\(473\) | −23.5552 | − | 29.9529i | −1.08307 | − | 1.37723i | ||||
\(474\) | 1.59510 | − | 8.71881i | 0.0732652 | − | 0.400468i | ||||
\(475\) | 2.07687 | − | 1.98029i | 0.0952931 | − | 0.0908618i | ||||
\(476\) | 4.69244 | + | 0.904393i | 0.215077 | + | 0.0414528i | ||||
\(477\) | −1.03309 | − | 15.5115i | −0.0473019 | − | 0.710222i | ||||
\(478\) | 3.15903 | − | 3.64571i | 0.144490 | − | 0.166751i | ||||
\(479\) | −6.97468 | + | 4.96664i | −0.318681 | + | 0.226932i | −0.728192 | − | 0.685374i | \(-0.759639\pi\) |
0.409511 | + | 0.912305i | \(0.365699\pi\) | |||||||
\(480\) | −1.69269 | − | 4.74511i | −0.0772603 | − | 0.216584i | ||||
\(481\) | −1.66840 | + | 3.23625i | −0.0760726 | + | 0.147560i | ||||
\(482\) | −0.297348 | − | 6.24210i | −0.0135438 | − | 0.284320i | ||||
\(483\) | −1.91993 | + | 5.72169i | −0.0873600 | + | 0.260346i | ||||
\(484\) | −6.26457 | − | 7.22970i | −0.284753 | − | 0.328623i | ||||
\(485\) | 10.0813 | + | 2.44570i | 0.457770 | + | 0.111054i | ||||
\(486\) | −15.4305 | + | 2.21321i | −0.699944 | + | 0.100393i | ||||
\(487\) | 12.4784 | − | 31.1694i | 0.565448 | − | 1.41242i | −0.319881 | − | 0.947458i | \(-0.603643\pi\) |
0.885329 | − | 0.464964i | \(-0.153933\pi\) | |||||||
\(488\) | 2.66545 | + | 13.8297i | 0.120659 | + | 0.626039i | ||||
\(489\) | −23.5510 | + | 12.4245i | −1.06501 | + | 0.561857i | ||||
\(490\) | −0.964725 | − | 3.97665i | −0.0435818 | − | 0.179647i | ||||
\(491\) | 10.2344 | + | 4.67389i | 0.461872 | + | 0.210930i | 0.632740 | − | 0.774364i | \(-0.281930\pi\) |
−0.170869 | + | 0.985294i | \(0.554657\pi\) | |||||||
\(492\) | 3.93893 | + | 2.47911i | 0.177581 | + | 0.111767i | ||||
\(493\) | 1.71249 | − | 11.9106i | 0.0771266 | − | 0.536428i | ||||
\(494\) | −0.503546 | − | 0.783533i | −0.0226556 | − | 0.0352528i | ||||
\(495\) | 33.6891 | + | 20.7615i | 1.51421 | + | 0.933160i | ||||
\(496\) | −0.838518 | + | 2.85573i | −0.0376506 | + | 0.128226i | ||||
\(497\) | 32.6174 | − | 16.8154i | 1.46309 | − | 0.754274i | ||||
\(498\) | 15.5007 | − | 0.885302i | 0.694603 | − | 0.0396713i | ||||
\(499\) | −17.3357 | − | 10.0088i | −0.776054 | − | 0.448055i | 0.0589757 | − | 0.998259i | \(-0.481217\pi\) |
−0.835030 | + | 0.550204i | \(0.814550\pi\) | |||||||
\(500\) | −0.213077 | + | 4.47304i | −0.00952910 | + | 0.200040i | ||||
\(501\) | 10.7578 | − | 27.6255i | 0.480622 | − | 1.23422i | ||||
\(502\) | −5.18789 | + | 14.9894i | −0.231547 | + | 0.669011i | ||||
\(503\) | 2.86623 | − | 8.28143i | 0.127799 | − | 0.369251i | −0.862891 | − | 0.505391i | \(-0.831348\pi\) |
0.990690 | + | 0.136140i | \(0.0434696\pi\) | |||||||
\(504\) | 6.46493 | − | 5.81945i | 0.287971 | − | 0.259219i | ||||
\(505\) | 1.41657 | − | 29.7375i | 0.0630366 | − | 1.32330i | ||||
\(506\) | 4.71981 | + | 2.72499i | 0.209821 | + | 0.121140i | ||||
\(507\) | 1.15933 | + | 20.2987i | 0.0514878 | + | 0.901498i | ||||
\(508\) | 14.9009 | − | 7.68196i | 0.661121 | − | 0.340832i | ||||
\(509\) | −8.93520 | + | 30.4305i | −0.396046 | + | 1.34881i | 0.484477 | + | 0.874804i | \(0.339010\pi\) |
−0.880523 | + | 0.474004i | \(0.842808\pi\) | |||||||
\(510\) | −0.711133 | + | 8.27296i | −0.0314895 | + | 0.366333i | ||||
\(511\) | 7.23736 | + | 11.2615i | 0.320162 | + | 0.498181i | ||||
\(512\) | −0.142315 | + | 0.989821i | −0.00628949 | + | 0.0437443i | ||||
\(513\) | 0.326980 | + | 4.29662i | 0.0144365 | + | 0.189700i | ||||
\(514\) | −10.8769 | − | 4.96732i | −0.479760 | − | 0.219099i | ||||
\(515\) | 9.29990 | + | 38.3347i | 0.409803 | + | 1.68923i | ||||
\(516\) | −6.79080 | − | 12.8721i | −0.298948 | − | 0.566664i | ||||
\(517\) | 9.81979 | + | 50.9499i | 0.431874 | + | 2.24077i | ||||
\(518\) | −3.49344 | + | 8.72620i | −0.153493 | + | 0.383407i | ||||
\(519\) | 30.7360 | − | 14.3893i | 1.34916 | − | 0.631621i | ||||
\(520\) | −3.17475 | − | 0.770186i | −0.139222 | − | 0.0337749i | ||||
\(521\) | 17.0409 | + | 19.6662i | 0.746575 | + | 0.861594i | 0.994232 | − | 0.107254i | \(-0.0342059\pi\) |
−0.247656 | + | 0.968848i | \(0.579660\pi\) | |||||||
\(522\) | −15.4115 | − | 15.5632i | −0.674543 | − | 0.681181i | ||||
\(523\) | 1.76415 | + | 37.0341i | 0.0771410 | + | 1.61939i | 0.623489 | + | 0.781832i | \(0.285714\pi\) |
−0.546348 | + | 0.837558i | \(0.683983\pi\) | |||||||
\(524\) | 1.65530 | − | 3.21083i | 0.0723119 | − | 0.140266i | ||||
\(525\) | 16.3680 | − | 5.83885i | 0.714360 | − | 0.254828i | ||||
\(526\) | 2.56617 | − | 1.82736i | 0.111890 | − | 0.0796766i | ||||
\(527\) | 3.21238 | − | 3.70728i | 0.139933 | − | 0.161492i | ||||
\(528\) | −3.99155 | − | 6.76508i | −0.173710 | − | 0.294412i | ||||
\(529\) | 21.1662 | + | 4.07946i | 0.920271 | + | 0.177368i | ||||
\(530\) | −10.9086 | + | 10.4013i | −0.473839 | + | 0.451804i | ||||
\(531\) | 24.8744 | − | 32.8914i | 1.07946 | − | 1.42736i | ||||
\(532\) | −1.48633 | − | 1.89002i | −0.0644405 | − | 0.0819428i | ||||
\(533\) | 2.74522 | − | 1.25370i | 0.118909 | − | 0.0543038i | ||||
\(534\) | −14.1444 | − | 1.89739i | −0.612089 | − | 0.0821081i | ||||
\(535\) | 46.1913i | 1.99702i | ||||||||
\(536\) | 6.31865 | − | 5.20334i | 0.272924 | − | 0.224750i | ||||
\(537\) | −39.7574 | − | 20.0230i | −1.71566 | − | 0.864058i | ||||
\(538\) | 14.4654 | − | 5.00651i | 0.623646 | − | 0.215846i | ||||
\(539\) | −2.65032 | − | 5.80340i | −0.114158 | − | 0.249970i | ||||
\(540\) | 11.2298 | + | 10.1155i | 0.483253 | + | 0.435302i | ||||
\(541\) | 6.92322 | + | 23.5783i | 0.297653 | + | 1.01371i | 0.963519 | + | 0.267641i | \(0.0862440\pi\) |
−0.665866 | + | 0.746071i | \(0.731938\pi\) | |||||||
\(542\) | −6.30166 | − | 6.60899i | −0.270680 | − | 0.283881i | ||||
\(543\) | 17.4130 | + | 13.4293i | 0.747265 | + | 0.576308i | ||||
\(544\) | 0.891069 | − | 1.38653i | 0.0382043 | − | 0.0594470i | ||||
\(545\) | 20.8647 | + | 18.0794i | 0.893747 | + | 0.774436i | ||||
\(546\) | −0.855441 | − | 5.57513i | −0.0366095 | − | 0.238593i | ||||
\(547\) | −9.61570 | + | 10.0847i | −0.411138 | + | 0.431189i | −0.896445 | − | 0.443155i | \(-0.853859\pi\) |
0.485308 | + | 0.874344i | \(0.338708\pi\) | |||||||
\(548\) | 2.47175 | + | 1.27427i | 0.105588 | + | 0.0544343i | ||||
\(549\) | −26.7419 | − | 32.7131i | −1.14132 | − | 1.39616i | ||||
\(550\) | −2.23336 | − | 15.5333i | −0.0952307 | − | 0.662344i | ||||
\(551\) | −4.57564 | + | 3.96482i | −0.194929 | + | 0.168907i | ||||
\(552\) | 1.58591 | + | 1.34817i | 0.0675008 | + | 0.0573818i | ||||
\(553\) | −11.6631 | − | 9.17195i | −0.495965 | − | 0.390031i | ||||
\(554\) | −19.1847 | − | 7.68038i | −0.815078 | − | 0.326308i | ||||
\(555\) | −15.7135 | − | 4.45301i | −0.667000 | − | 0.189020i | ||||
\(556\) | −2.42278 | − | 1.72525i | −0.102749 | − | 0.0731670i | ||||
\(557\) | −6.70519 | + | 1.62666i | −0.284108 | + | 0.0689239i | −0.375281 | − | 0.926911i | \(-0.622454\pi\) |
0.0911725 | + | 0.995835i | \(0.470939\pi\) | |||||||
\(558\) | −1.85523 | − | 8.73401i | −0.0785380 | − | 0.369740i | ||||
\(559\) | −9.39441 | − | 0.897057i | −0.397341 | − | 0.0379415i | ||||
\(560\) | −8.34774 | − | 1.20022i | −0.352757 | − | 0.0507187i | ||||
\(561\) | 1.35236 | + | 12.8753i | 0.0570968 | + | 0.543597i | ||||
\(562\) | −4.03506 | + | 1.61539i | −0.170209 | + | 0.0681413i | ||||
\(563\) | −17.1317 | − | 5.03033i | −0.722016 | − | 0.212003i | −0.0999774 | − | 0.994990i | \(-0.531877\pi\) |
−0.622038 | + | 0.782987i | \(0.713695\pi\) | |||||||
\(564\) | 0.187307 | + | 19.8165i | 0.00788703 | + | 0.834425i | ||||
\(565\) | 17.5264 | + | 30.3566i | 0.737341 | + | 1.27711i | ||||
\(566\) | 10.7203 | − | 18.5680i | 0.450606 | − | 0.780473i | ||||
\(567\) | −8.77594 | + | 24.5751i | −0.368555 | + | 1.03206i | ||||
\(568\) | −1.20307 | − | 12.5991i | −0.0504797 | − | 0.528648i | ||||
\(569\) | 5.61680 | + | 1.94399i | 0.235469 | + | 0.0814965i | 0.442254 | − | 0.896890i | \(-0.354179\pi\) |
−0.206785 | + | 0.978386i | \(0.566300\pi\) | |||||||
\(570\) | 2.99629 | − | 2.91152i | 0.125501 | − | 0.121950i | ||||
\(571\) | 14.2534 | − | 1.36104i | 0.596488 | − | 0.0569577i | 0.207554 | − | 0.978223i | \(-0.433450\pi\) |
0.388934 | + | 0.921266i | \(0.372844\pi\) | |||||||
\(572\) | −5.08765 | − | 0.242354i | −0.212725 | − | 0.0101333i | ||||
\(573\) | 21.1830 | − | 13.8981i | 0.884932 | − | 0.580603i | ||||
\(574\) | 6.74725 | − | 3.89552i | 0.281625 | − | 0.162596i | ||||
\(575\) | 1.90558 | + | 3.69631i | 0.0794682 | + | 0.154147i | ||||
\(576\) | −1.03462 | − | 2.81595i | −0.0431090 | − | 0.117331i | ||||
\(577\) | 8.01047 | + | 20.0092i | 0.333480 | + | 0.832994i | 0.996437 | + | 0.0843362i | \(0.0268770\pi\) |
−0.662957 | + | 0.748657i | \(0.730699\pi\) | |||||||
\(578\) | 12.0161 | − | 7.72226i | 0.499803 | − | 0.321204i | ||||
\(579\) | 24.1450 | − | 34.5943i | 1.00343 | − | 1.43769i | ||||
\(580\) | −2.01860 | + | 21.1398i | −0.0838180 | + | 0.877782i | ||||
\(581\) | 10.7968 | − | 23.6418i | 0.447928 | − | 0.980825i | ||||
\(582\) | 6.01669 | + | 1.39955i | 0.249400 | + | 0.0580134i | ||||
\(583\) | −13.6314 | + | 19.1427i | −0.564556 | + | 0.792808i | ||||
\(584\) | 4.53352 | − | 0.873764i | 0.187598 | − | 0.0361566i | ||||
\(585\) | 9.47888 | − | 2.49018i | 0.391903 | − | 0.102956i | ||||
\(586\) | 6.10371 | − | 7.76150i | 0.252142 | − | 0.320625i | ||||
\(587\) | 2.09912 | − | 8.65268i | 0.0866399 | − | 0.357134i | −0.911945 | − | 0.410312i | \(-0.865420\pi\) |
0.998585 | + | 0.0531776i | \(0.0169349\pi\) | |||||||
\(588\) | −0.596826 | − | 2.36246i | −0.0246127 | − | 0.0974264i | ||||
\(589\) | −2.44304 | + | 0.351257i | −0.100664 | + | 0.0144733i | ||||
\(590\) | −39.9375 | + | 1.90246i | −1.64420 | + | 0.0783230i | ||||
\(591\) | −13.8866 | − | 19.1160i | −0.571219 | − | 0.786328i | ||||
\(592\) | 2.34622 | + | 2.23711i | 0.0964289 | + | 0.0919448i | ||||
\(593\) | −11.8455 | − | 16.6347i | −0.486437 | − | 0.683106i | 0.496292 | − | 0.868156i | \(-0.334695\pi\) |
−0.982729 | + | 0.185050i | \(0.940755\pi\) | |||||||
\(594\) | 20.1770 | + | 12.1728i | 0.827873 | + | 0.499457i | ||||
\(595\) | 11.6934 | + | 7.51491i | 0.479384 | + | 0.308081i | ||||
\(596\) | 1.21535 | − | 6.30582i | 0.0497825 | − | 0.258296i | ||||
\(597\) | 23.6748 | − | 7.19531i | 0.968947 | − | 0.294484i | ||||
\(598\) | 1.29506 | − | 0.380264i | 0.0529589 | − | 0.0155501i | ||||
\(599\) | −15.7509 | + | 12.3866i | −0.643564 | + | 0.506104i | −0.885772 | − | 0.464120i | \(-0.846371\pi\) |
0.242208 | + | 0.970224i | \(0.422128\pi\) | |||||||
\(600\) | 0.228591 | − | 5.98928i | 0.00933218 | − | 0.244511i | ||||
\(601\) | 7.43935 | + | 21.4946i | 0.303458 | + | 0.876783i | 0.988890 | + | 0.148647i | \(0.0474919\pi\) |
−0.685433 | + | 0.728136i | \(0.740387\pi\) | |||||||
\(602\) | −24.3627 | −0.992948 | ||||||||
\(603\) | −9.26760 | + | 22.7401i | −0.377406 | + | 0.926048i | ||||
\(604\) | −18.3490 | −0.746611 | ||||||||
\(605\) | −9.10073 | − | 26.2948i | −0.369997 | − | 1.06904i | ||||
\(606\) | 0.676127 | − | 17.7151i | 0.0274658 | − | 0.719628i | ||||
\(607\) | 23.8261 | − | 18.7370i | 0.967071 | − | 0.760513i | −0.00383062 | − | 0.999993i | \(-0.501219\pi\) |
0.970901 | + | 0.239480i | \(0.0769769\pi\) | |||||||
\(608\) | −0.795684 | + | 0.233634i | −0.0322693 | + | 0.00947511i | ||||
\(609\) | −35.0806 | + | 10.6618i | −1.42154 | + | 0.432037i | ||||
\(610\) | −7.75294 | + | 40.2261i | −0.313908 | + | 1.62871i | ||||
\(611\) | 10.8105 | + | 6.94746i | 0.437344 | + | 0.281064i | ||||
\(612\) | −0.376882 | + | 4.93013i | −0.0152346 | + | 0.199289i | ||||
\(613\) | 25.8363 | + | 36.2820i | 1.04352 | + | 1.46542i | 0.877671 | + | 0.479264i | \(0.159096\pi\) |
0.165846 | + | 0.986152i | \(0.446964\pi\) | |||||||
\(614\) | 9.95416 | + | 9.49127i | 0.401717 | + | 0.383036i | ||||
\(615\) | 7.95637 | + | 10.9526i | 0.320832 | + | 0.441650i | ||||
\(616\) | −13.1341 | + | 0.625656i | −0.529189 | + | 0.0252084i | ||||
\(617\) | −39.2295 | + | 5.64035i | −1.57932 | + | 0.227072i | −0.875469 | − | 0.483275i | \(-0.839447\pi\) |
−0.703852 | + | 0.710347i | \(0.748538\pi\) | |||||||
\(618\) | 5.75338 | + | 22.7740i | 0.231435 | + | 0.916107i | ||||
\(619\) | 9.49379 | − | 39.1340i | 0.381588 | − | 1.57293i | −0.380077 | − | 0.924955i | \(-0.624102\pi\) |
0.761665 | − | 0.647971i | \(-0.224382\pi\) | |||||||
\(620\) | −5.35146 | + | 6.80493i | −0.214920 | + | 0.273293i | ||||
\(621\) | −6.10779 | − | 1.29956i | −0.245097 | − | 0.0521494i | ||||
\(622\) | −4.57153 | + | 0.881090i | −0.183302 | + | 0.0353285i | ||||
\(623\) | −13.8575 | + | 19.4601i | −0.555188 | + | 0.779652i | ||||
\(624\) | −1.89474 | − | 0.440739i | −0.0758503 | − | 0.0176437i | ||||
\(625\) | −12.5985 | + | 27.5869i | −0.503941 | + | 1.10348i | ||||
\(626\) | 1.48707 | − | 15.5734i | 0.0594355 | − | 0.622436i | ||||
\(627\) | 3.72808 | − | 5.34149i | 0.148885 | − | 0.213319i | ||||
\(628\) | 4.96309 | − | 3.18958i | 0.198049 | − | 0.127278i | ||||
\(629\) | −1.98582 | − | 4.96034i | −0.0791799 | − | 0.197782i | ||||
\(630\) | 23.7485 | − | 8.72553i | 0.946165 | − | 0.347633i | ||||
\(631\) | −20.4648 | − | 39.6961i | −0.814690 | − | 1.58028i | −0.814419 | − | 0.580278i | \(-0.802944\pi\) |
−0.000271099 | − | 1.00000i | \(-0.500086\pi\) | |||||||
\(632\) | −4.43176 | + | 2.55868i | −0.176286 | + | 0.101779i | ||||
\(633\) | 35.5656 | − | 23.3345i | 1.41360 | − | 0.927464i | ||||
\(634\) | −2.21863 | − | 0.105686i | −0.0881131 | − | 0.00419734i | ||||
\(635\) | 48.5419 | − | 4.63519i | 1.92633 | − | 0.183942i | ||||
\(636\) | −6.43697 | + | 6.25485i | −0.255242 | + | 0.248021i | ||||
\(637\) | −1.49315 | − | 0.516783i | −0.0591606 | − | 0.0204757i | ||||
\(638\) | 3.14726 | + | 32.9596i | 0.124601 | + | 1.30488i | ||||
\(639\) | 21.1279 | + | 31.5481i | 0.835806 | + | 1.24802i | ||||
\(640\) | −1.45434 | + | 2.51899i | −0.0574879 | + | 0.0995719i | ||||
\(641\) | −1.93344 | − | 3.34882i | −0.0763664 | − | 0.132270i | 0.825313 | − | 0.564675i | \(-0.190999\pi\) |
−0.901680 | + | 0.432405i | \(0.857665\pi\) | |||||||
\(642\) | 0.259975 | + | 27.5046i | 0.0102604 | + | 1.08552i | ||||
\(643\) | −22.0896 | − | 6.48609i | −0.871129 | − | 0.255787i | −0.184534 | − | 0.982826i | \(-0.559077\pi\) |
−0.686595 | + | 0.727040i | \(0.740896\pi\) | |||||||
\(644\) | 3.23484 | − | 1.29503i | 0.127471 | − | 0.0510315i | ||||
\(645\) | −4.42200 | − | 42.1001i | −0.174116 | − | 1.65769i | ||||
\(646\) | 1.35288 | + | 0.194514i | 0.0532282 | + | 0.00765306i | ||||
\(647\) | −10.6918 | − | 1.02094i | −0.420338 | − | 0.0401375i | −0.117256 | − | 0.993102i | \(-0.537410\pi\) |
−0.303083 | + | 0.952964i | \(0.598016\pi\) | |||||||
\(648\) | 6.74370 | + | 5.96007i | 0.264918 | + | 0.234134i | ||||
\(649\) | −60.5811 | + | 14.6968i | −2.37802 | + | 0.576900i | ||||
\(650\) | −3.16587 | − | 2.25441i | −0.124176 | − | 0.0884251i | ||||
\(651\) | −14.3806 | − | 4.07530i | −0.563622 | − | 0.159724i | ||||
\(652\) | 14.2721 | + | 5.71370i | 0.558940 | + | 0.223766i | ||||
\(653\) | 8.76422 | + | 6.89226i | 0.342971 | + | 0.269715i | 0.774755 | − | 0.632262i | \(-0.217873\pi\) |
−0.431784 | + | 0.901977i | \(0.642116\pi\) | |||||||
\(654\) | 12.5256 | + | 10.6479i | 0.489792 | + | 0.416367i | ||||
\(655\) | 7.94090 | − | 6.88083i | 0.310276 | − | 0.268856i | ||||
\(656\) | −0.382411 | − | 2.65973i | −0.0149306 | − | 0.103845i | ||||
\(657\) | −10.7237 | + | 8.76630i | −0.418372 | + | 0.342006i | ||||
\(658\) | 29.4865 | + | 15.2013i | 1.14950 | + | 0.592610i | ||||
\(659\) | −27.6653 | + | 29.0145i | −1.07769 | + | 1.13025i | −0.0867076 | + | 0.996234i | \(0.527635\pi\) |
−0.990980 | + | 0.134012i | \(0.957214\pi\) | |||||||
\(660\) | −3.46511 | − | 22.5830i | −0.134879 | − | 0.879042i | ||||
\(661\) | 0.905673 | + | 0.784770i | 0.0352266 | + | 0.0305240i | 0.672296 | − | 0.740282i | \(-0.265308\pi\) |
−0.637070 | + | 0.770806i | \(0.719854\pi\) | |||||||
\(662\) | −4.61278 | + | 7.17763i | −0.179281 | + | 0.278967i | ||||
\(663\) | 2.53889 | + | 1.95805i | 0.0986022 | + | 0.0760444i | ||||
\(664\) | −6.18581 | − | 6.48749i | −0.240056 | − | 0.251764i | ||||
\(665\) | −1.97037 | − | 6.71047i | −0.0764077 | − | 0.260221i | ||||
\(666\) | −9.38164 | − | 2.56310i | −0.363531 | − | 0.0993182i | ||||
\(667\) | −3.64480 | − | 7.98101i | −0.141127 | − | 0.309026i | ||||
\(668\) | −16.1749 | + | 5.59818i | −0.625825 | + | 0.216600i | ||||
\(669\) | 30.4011 | + | 15.3109i | 1.17537 | + | 0.591953i | ||||
\(670\) | 22.6875 | − | 7.21995i | 0.876493 | − | 0.278931i | ||||
\(671\) | 63.8718i | 2.46574i | ||||||||
\(672\) | −4.97741 | − | 0.667690i | −0.192008 | − | 0.0257567i | ||||
\(673\) | 14.1068 | − | 6.44237i | 0.543778 | − | 0.248335i | −0.124535 | − | 0.992215i | \(-0.539744\pi\) |
0.668313 | + | 0.743880i | \(0.267017\pi\) | |||||||
\(674\) | −10.1925 | − | 12.9608i | −0.392599 | − | 0.499231i | ||||
\(675\) | 7.93027 | + | 16.1377i | 0.305236 | + | 0.621140i | ||||
\(676\) | 8.49560 | − | 8.10054i | 0.326754 | − | 0.311559i | ||||
\(677\) | −10.6569 | − | 2.05395i | −0.409577 | − | 0.0789395i | −0.0196990 | − | 0.999806i | \(-0.506271\pi\) |
−0.389878 | + | 0.920866i | \(0.627483\pi\) | |||||||
\(678\) | 10.6069 | + | 17.9772i | 0.407357 | + | 0.690409i | ||||
\(679\) | 6.77180 | − | 7.81508i | 0.259878 | − | 0.299915i | ||||
\(680\) | 3.90508 | − | 2.78080i | 0.149753 | − | 0.106639i | ||||
\(681\) | −37.1728 | + | 13.2604i | −1.42446 | + | 0.508138i | ||||
\(682\) | −6.18491 | + | 11.9971i | −0.236832 | + | 0.459391i | ||||
\(683\) | 0.778514 | + | 16.3430i | 0.0297890 | + | 0.625348i | 0.963562 | + | 0.267483i | \(0.0861920\pi\) |
−0.933774 | + | 0.357865i | \(0.883505\pi\) | |||||||
\(684\) | 1.76775 | − | 1.75052i | 0.0675917 | − | 0.0669330i | ||||
\(685\) | 5.29698 | + | 6.11304i | 0.202387 | + | 0.233567i | ||||
\(686\) | 15.7600 | + | 3.82334i | 0.601720 | + | 0.145976i | ||||
\(687\) | −7.93249 | + | 3.71366i | −0.302643 | + | 0.141685i | ||||
\(688\) | −3.12290 | + | 7.80062i | −0.119059 | + | 0.297396i | ||||
\(689\) | 1.10145 | + | 5.71484i | 0.0419617 | + | 0.217718i | ||||
\(690\) | 2.82504 | + | 5.35493i | 0.107547 | + | 0.203859i | ||||
\(691\) | 9.69278 | + | 39.9542i | 0.368731 | + | 1.51993i | 0.790065 | + | 0.613023i | \(0.210047\pi\) |
−0.421335 | + | 0.906905i | \(0.638438\pi\) | |||||||
\(692\) | −17.8232 | − | 8.13958i | −0.677536 | − | 0.309420i | ||||
\(693\) | 33.7832 | − | 20.3658i | 1.28332 | − | 0.773631i | ||||
\(694\) | −1.08070 | + | 7.51642i | −0.0410228 | + | 0.285320i | ||||
\(695\) | −4.67722 | − | 7.27789i | −0.177417 | − | 0.276066i | ||||
\(696\) | −1.08300 | + | 12.5990i | −0.0410509 | + | 0.477565i | ||||
\(697\) | −1.24773 | + | 4.24937i | −0.0472610 | + | 0.160956i | ||||
\(698\) | −15.0443 | + | 7.75588i | −0.569435 | + | 0.293564i | ||||
\(699\) | −2.07888 | − | 36.3990i | −0.0786305 | − | 1.37674i | ||||
\(700\) | −8.68914 | − | 5.01668i | −0.328419 | − | 0.189613i | ||||
\(701\) | 1.23273 | − | 25.8781i | 0.0465594 | − | 0.977402i | −0.847873 | − | 0.530199i | \(-0.822117\pi\) |
0.894433 | − | 0.447203i | \(-0.147580\pi\) | |||||||
\(702\) | 5.63018 | − | 1.53612i | 0.212497 | − | 0.0579773i | ||||
\(703\) | −0.879278 | + | 2.54051i | −0.0331626 | + | 0.0958170i | ||||
\(704\) | −1.48325 | + | 4.28558i | −0.0559023 | + | 0.161519i | ||||
\(705\) | −20.9168 | + | 53.7135i | −0.787772 | + | 2.02297i | ||||
\(706\) | 0.960437 | − | 20.1621i | 0.0361465 | − | 0.758809i | ||||
\(707\) | −25.7008 | − | 14.8384i | −0.966578 | − | 0.558054i | ||||
\(708\) | −23.7701 | + | 1.35760i | −0.893335 | + | 0.0510216i | ||||
\(709\) | 4.92738 | − | 2.54024i | 0.185052 | − | 0.0954008i | −0.363211 | − | 0.931707i | \(-0.618320\pi\) |
0.548263 | + | 0.836306i | \(0.315289\pi\) | |||||||
\(710\) | 10.3716 | − | 35.3223i | 0.389238 | − | 1.32562i | ||||
\(711\) | 8.05435 | − | 13.0696i | 0.302062 | − | 0.490147i | ||||
\(712\) | 4.45458 | + | 6.93146i | 0.166942 | + | 0.259767i | ||||
\(713\) | 0.509029 | − | 3.54037i | 0.0190633 | − | 0.132588i | ||||
\(714\) | 7.00514 | + | 4.40893i | 0.262161 | + | 0.165000i | ||||
\(715\) | −13.4763 | − | 6.15442i | −0.503985 | − | 0.230162i | ||||
\(716\) | 6.05917 | + | 24.9762i | 0.226442 | + | 0.933405i | ||||
\(717\) | 7.39002 | − | 3.89867i | 0.275985 | − | 0.145598i | ||||
\(718\) | 4.51395 | + | 23.4206i | 0.168459 | + | 0.874049i | ||||
\(719\) | 16.3821 | − | 40.9206i | 0.610950 | − | 1.52608i | −0.223333 | − | 0.974742i | \(-0.571694\pi\) |
0.834283 | − | 0.551337i | \(-0.185882\pi\) | |||||||
\(720\) | 0.250371 | − | 8.72245i | 0.00933079 | − | 0.325067i | ||||
\(721\) | 38.2131 | + | 9.27039i | 1.42313 | + | 0.345247i | ||||
\(722\) | 11.9920 | + | 13.8395i | 0.446296 | + | 0.515053i | ||||
\(723\) | 3.44331 | − | 10.2616i | 0.128058 | − | 0.381633i | ||||
\(724\) | −0.604097 | − | 12.6816i | −0.0224511 | − | 0.471307i | ||||
\(725\) | −11.5767 | + | 22.4557i | −0.429949 | + | 0.833984i | ||||
\(726\) | −5.56702 | − | 15.6060i | −0.206612 | − | 0.579194i | ||||
\(727\) | 32.0775 | − | 22.8423i | 1.18969 | − | 0.847172i | 0.198560 | − | 0.980089i | \(-0.436374\pi\) |
0.991127 | + | 0.132916i | \(0.0424341\pi\) | |||||||
\(728\) | −2.13254 | + | 2.46108i | −0.0790370 | + | 0.0912136i | ||||
\(729\) | −26.2958 | − | 6.12617i | −0.973919 | − | 0.226895i | ||||
\(730\) | 13.1866 | + | 2.54150i | 0.488056 | + | 0.0940652i | ||||
\(731\) | 10.0228 | − | 9.55675i | 0.370708 | − | 0.353469i | ||||
\(732\) | −4.39009 | + | 23.9962i | −0.162262 | + | 0.886927i | ||||
\(733\) | −8.37897 | − | 10.6547i | −0.309484 | − | 0.393541i | 0.606284 | − | 0.795248i | \(-0.292659\pi\) |
−0.915768 | + | 0.401707i | \(0.868417\pi\) | |||||||
\(734\) | −18.0544 | + | 8.24516i | −0.666399 | + | 0.304334i | ||||
\(735\) | 0.942311 | − | 7.02463i | 0.0347577 | − | 0.259107i | ||||
\(736\) | − | 1.20176i | − | 0.0442973i | ||||||
\(737\) | 32.6030 | − | 17.7477i | 1.20095 | − | 0.653745i | ||||
\(738\) | 4.79926 | + | 6.47692i | 0.176663 | + | 0.238419i | ||||
\(739\) | 26.8842 | − | 9.30472i | 0.988953 | − | 0.342280i | 0.215757 | − | 0.976447i | \(-0.430778\pi\) |
0.773196 | + | 0.634167i | \(0.218657\pi\) | |||||||
\(740\) | 3.91713 | + | 8.57731i | 0.143996 | + | 0.315308i | ||||
\(741\) | −0.320260 | − | 1.58110i | −0.0117651 | − | 0.0580832i | ||||
\(742\) | 4.23298 | + | 14.4162i | 0.155398 | + | 0.529235i | ||||
\(743\) | 6.13414 | + | 6.43330i | 0.225040 | + | 0.236015i | 0.826568 | − | 0.562836i | \(-0.190290\pi\) |
−0.601529 | + | 0.798851i | \(0.705441\pi\) | |||||||
\(744\) | −3.14822 | + | 4.08211i | −0.115419 | + | 0.149657i | ||||
\(745\) | 10.0987 | − | 15.7139i | 0.369989 | − | 0.575714i | ||||
\(746\) | 16.4068 | + | 14.2166i | 0.600695 | + | 0.520505i | ||||
\(747\) | 25.5745 | + | 8.31350i | 0.935720 | + | 0.304175i | ||||
\(748\) | 5.15797 | − | 5.40953i | 0.188594 | − | 0.197792i | ||||
\(749\) | 40.9261 | + | 21.0989i | 1.49541 | + | 0.770937i | ||||
\(750\) | −3.15526 | + | 7.08554i | −0.115214 | + | 0.258727i | ||||
\(751\) | −6.93184 | − | 48.2120i | −0.252947 | − | 1.75928i | −0.580322 | − | 0.814387i | \(-0.697073\pi\) |
0.327375 | − | 0.944894i | \(-0.393836\pi\) | |||||||
\(752\) | 8.64696 | − | 7.49264i | 0.315322 | − | 0.273228i | ||||
\(753\) | −17.7942 | + | 20.9322i | −0.648458 | + | 0.762811i | ||||
\(754\) | 6.44553 | + | 5.06882i | 0.234732 | + | 0.184596i | ||||
\(755\) | −49.5483 | − | 19.8362i | −1.80325 | − | 0.721912i | ||||
\(756\) | 14.0919 | − | 5.32927i | 0.512519 | − | 0.193824i | ||||
\(757\) | −15.0870 | − | 10.7434i | −0.548348 | − | 0.390477i | 0.272038 | − | 0.962286i | \(-0.412302\pi\) |
−0.820386 | + | 0.571809i | \(0.806242\pi\) | |||||||
\(758\) | 13.2967 | − | 3.22573i | 0.482956 | − | 0.117164i | ||||
\(759\) | 5.90506 | + | 7.36457i | 0.214340 | + | 0.267317i | ||||
\(760\) | −2.40118 | − | 0.229285i | −0.0870999 | − | 0.00831703i | ||||
\(761\) | −14.8979 | − | 2.14199i | −0.540047 | − | 0.0776470i | −0.133107 | − | 0.991102i | \(-0.542495\pi\) |
−0.406940 | + | 0.913455i | \(0.633404\pi\) | |||||||
\(762\) | 28.8782 | − | 3.03323i | 1.04615 | − | 0.109882i | ||||
\(763\) | 25.5490 | − | 10.2283i | 0.924938 | − | 0.370289i | ||||
\(764\) | −14.0348 | − | 4.12100i | −0.507762 | − | 0.149092i | ||||
\(765\) | −6.34741 | + | 12.9055i | −0.229491 | + | 0.466601i | ||||
\(766\) | −11.5895 | − | 20.0737i | −0.418747 | − | 0.725292i | ||||
\(767\) | −7.71931 | + | 13.3702i | −0.278728 | + | 0.482771i | ||||
\(768\) | −0.851809 | + | 1.50812i | −0.0307370 | + | 0.0544195i | ||||
\(769\) | −3.64605 | − | 38.1831i | −0.131480 | − | 1.37692i | −0.784759 | − | 0.619801i | \(-0.787213\pi\) |
0.653279 | − | 0.757117i | \(-0.273393\pi\) | |||||||
\(770\) | −36.1428 | − | 12.5092i | −1.30250 | − | 0.450799i | ||||
\(771\) | −14.4333 | − | 14.8535i | −0.519801 | − | 0.534935i | ||||
\(772\) | −24.2464 | + | 2.31525i | −0.872647 | + | 0.0833277i | ||||
\(773\) | −48.3260 | − | 2.30205i | −1.73816 | − | 0.0827989i | −0.845627 | − | 0.533774i | \(-0.820773\pi\) |
−0.892537 | + | 0.450975i | \(0.851076\pi\) | |||||||
\(774\) | −2.87003 | − | 25.0436i | −0.103161 | − | 0.900174i | ||||
\(775\) | −8.91942 | + | 5.14963i | −0.320395 | + | 0.184980i | ||||
\(776\) | −1.63425 | − | 3.17001i | −0.0586663 | − | 0.113797i | ||||
\(777\) | −11.1229 | + | 11.8884i | −0.399032 | + | 0.426492i | ||||
\(778\) | −2.68571 | − | 6.70858i | −0.0962874 | − | 0.240514i | ||||
\(779\) | 1.87459 | − | 1.20472i | 0.0671641 | − | 0.0431637i | ||||
\(780\) | −4.63996 | − | 3.23844i | −0.166137 | − | 0.115955i | ||||
\(781\) | 5.45593 | − | 57.1371i | 0.195229 | − | 2.04453i | ||||
\(782\) | −0.822813 | + | 1.80171i | −0.0294237 | + | 0.0644290i | ||||
\(783\) | −15.0924 | − | 34.8051i | −0.539359 | − | 1.24383i | ||||
\(784\) | −0.816037 | + | 1.14596i | −0.0291442 | + | 0.0409273i | ||||
\(785\) | 16.8501 | − | 3.24758i | 0.601405 | − | 0.115911i | ||||
\(786\) | 4.68968 | − | 4.14188i | 0.167275 | − | 0.147736i | ||||
\(787\) | 10.4626 | − | 13.3042i | 0.372950 | − | 0.474244i | −0.562960 | − | 0.826484i | \(-0.690337\pi\) |
0.935910 | + | 0.352240i | \(0.114580\pi\) | |||||||
\(788\) | −3.21607 | + | 13.2568i | −0.114568 | + | 0.472255i | ||||
\(789\) | 5.29029 | − | 1.33648i | 0.188339 | − | 0.0475799i | ||||
\(790\) | −14.7333 | + | 2.11832i | −0.524186 | + | 0.0753665i | ||||
\(791\) | 34.9020 | − | 1.66259i | 1.24097 | − | 0.0591147i | ||||
\(792\) | −2.19040 | − | 13.4275i | −0.0778324 | − | 0.477126i | ||||
\(793\) | 11.4483 | + | 10.9160i | 0.406542 | + | 0.387637i | ||||
\(794\) | 5.24204 | + | 7.36142i | 0.186033 | + | 0.261247i | ||||
\(795\) | −24.1437 | + | 9.93148i | −0.856290 | + | 0.352233i | ||||
\(796\) | −12.0182 | − | 7.72360i | −0.425972 | − | 0.273756i | ||||
\(797\) | 1.69874 | − | 8.81392i | 0.0601726 | − | 0.312205i | −0.939355 | − | 0.342947i | \(-0.888575\pi\) |
0.999527 | + | 0.0307419i | \(0.00978699\pi\) | |||||||
\(798\) | −1.21102 | − | 3.98466i | −0.0428698 | − | 0.141055i | ||||
\(799\) | −18.0938 | + | 5.31282i | −0.640113 | + | 0.187954i | ||||
\(800\) | −2.72008 | + | 2.13910i | −0.0961695 | + | 0.0756285i | ||||
\(801\) | −21.6365 | − | 11.9523i | −0.764487 | − | 0.422314i | ||||
\(802\) | −10.4403 | − | 30.1652i | −0.368658 | − | 1.06517i | ||||
\(803\) | 20.9379 | 0.738882 | ||||||||
\(804\) | 13.4686 | − | 4.42681i | 0.475001 | − | 0.156121i | ||||
\(805\) | 10.1351 | 0.357216 | ||||||||
\(806\) | 1.09331 | + | 3.15892i | 0.0385103 | + | 0.111268i | ||||
\(807\) | 26.4936 | + | 1.01117i | 0.932620 | + | 0.0355950i | ||||
\(808\) | −8.04548 | + | 6.32703i | −0.283039 | + | 0.222584i | ||||
\(809\) | 18.1157 | − | 5.31926i | 0.636915 | − | 0.187015i | 0.0526954 | − | 0.998611i | \(-0.483219\pi\) |
0.584220 | + | 0.811595i | \(0.301401\pi\) | |||||||
\(810\) | 11.7671 | + | 23.3844i | 0.413453 | + | 0.821644i | ||||
\(811\) | −1.19003 | + | 6.17447i | −0.0417877 | + | 0.216815i | −0.996820 | − | 0.0796868i | \(-0.974608\pi\) |
0.955032 | + | 0.296502i | \(0.0958201\pi\) | |||||||
\(812\) | 17.8081 | + | 11.4446i | 0.624942 | + | 0.401626i | ||||
\(813\) | −6.01701 | − | 14.6275i | −0.211026 | − | 0.513010i | ||||
\(814\) | 8.52781 | + | 11.9756i | 0.298900 | + | 0.419746i | ||||
\(815\) | 32.3626 | + | 30.8577i | 1.13361 | + | 1.08090i | ||||
\(816\) | 2.30963 | − | 1.67780i | 0.0808532 | − | 0.0587349i | ||||
\(817\) | −6.96011 | + | 0.331551i | −0.243503 | + | 0.0115995i | ||||
\(818\) | −16.8041 | + | 2.41607i | −0.587543 | + | 0.0844759i | ||||
\(819\) | 2.12336 | − | 9.53587i | 0.0741960 | − | 0.333210i | ||||
\(820\) | 1.84266 | − | 7.59553i | 0.0643484 | − | 0.265248i | ||||
\(821\) | 20.5761 | − | 26.1646i | 0.718111 | − | 0.913152i | −0.280802 | − | 0.959766i | \(-0.590601\pi\) |
0.998913 | + | 0.0466135i | \(0.0148429\pi\) | |||||||
\(822\) | 3.18849 | + | 3.61019i | 0.111211 | + | 0.125920i | ||||
\(823\) | −17.4242 | + | 3.35824i | −0.607369 | + | 0.117061i | −0.483657 | − | 0.875257i | \(-0.660692\pi\) |
−0.123712 | + | 0.992318i | \(0.539480\pi\) | |||||||
\(824\) | 7.86655 | − | 11.0470i | 0.274044 | − | 0.384842i | ||||
\(825\) | 6.15826 | − | 26.4744i | 0.214403 | − | 0.921720i | ||||
\(826\) | −16.5568 | + | 36.2543i | −0.576083 | + | 1.26145i | ||||
\(827\) | −1.26003 | + | 13.1957i | −0.0438157 | + | 0.458858i | 0.946765 | + | 0.321926i | \(0.104330\pi\) |
−0.990580 | + | 0.136932i | \(0.956276\pi\) | |||||||
\(828\) | 1.71231 | + | 3.17269i | 0.0595068 | + | 0.110259i | ||||
\(829\) | −42.8841 | + | 27.5599i | −1.48942 | + | 0.957195i | −0.493243 | + | 0.869891i | \(0.664189\pi\) |
−0.996182 | + | 0.0873038i | \(0.972175\pi\) | |||||||
\(830\) | −9.69043 | − | 24.2055i | −0.336360 | − | 0.840186i | ||||
\(831\) | −26.1367 | − | 24.4539i | −0.906672 | − | 0.848295i | ||||
\(832\) | 0.514650 | + | 0.998281i | 0.0178423 | + | 0.0346092i | ||||
\(833\) | 2.00804 | − | 1.15934i | 0.0695744 | − | 0.0401688i | ||||
\(834\) | −2.82601 | − | 4.30729i | −0.0978566 | − | 0.149149i | ||||
\(835\) | −49.7294 | − | 2.36890i | −1.72096 | − | 0.0819793i | ||||
\(836\) | −3.74374 | + | 0.357484i | −0.129480 | + | 0.0123638i | ||||
\(837\) | 2.49510 | − | 15.2627i | 0.0862434 | − | 0.527555i | ||||
\(838\) | 21.8877 | + | 7.57540i | 0.756097 | + | 0.261688i | ||||
\(839\) | −1.25099 | − | 13.1010i | −0.0431891 | − | 0.452297i | −0.991038 | − | 0.133578i | \(-0.957353\pi\) |
0.947849 | − | 0.318719i | \(-0.103253\pi\) | |||||||
\(840\) | −12.7188 | − | 7.18381i | −0.438842 | − | 0.247865i | ||||
\(841\) | 12.1514 | − | 21.0469i | 0.419015 | − | 0.725755i | ||||
\(842\) | −8.12859 | − | 14.0791i | −0.280130 | − | 0.485199i | ||||
\(843\) | −7.52785 | + | 0.0711536i | −0.259273 | + | 0.00245066i | ||||
\(844\) | −23.5640 | − | 6.91902i | −0.811107 | − | 0.238163i | ||||
\(845\) | 31.6980 | − | 12.6900i | 1.09044 | − | 0.436548i | ||||
\(846\) | −12.1526 | + | 32.1014i | −0.417814 | + | 1.10367i | ||||
\(847\) | −27.4546 | − | 3.94737i | −0.943351 | − | 0.135633i | ||||
\(848\) | 5.15848 | + | 0.492575i | 0.177143 | + | 0.0169151i | ||||
\(849\) | 28.9726 | − | 23.2309i | 0.994339 | − | 0.797281i | ||||
\(850\) | 5.54262 | − | 1.34462i | 0.190110 | − | 0.0461202i | ||||
\(851\) | −3.17349 | − | 2.25983i | −0.108786 | − | 0.0774661i | ||||
\(852\) | 5.97695 | − | 21.0910i | 0.204767 | − | 0.722567i | ||||
\(853\) | −29.2209 | − | 11.6983i | −1.00051 | − | 0.400542i | −0.187164 | − | 0.982329i | \(-0.559930\pi\) |
−0.813341 | + | 0.581787i | \(0.802354\pi\) | |||||||
\(854\) | 32.0996 | + | 25.2434i | 1.09843 | + | 0.863811i | ||||
\(855\) | 6.66591 | − | 2.81597i | 0.227969 | − | 0.0963040i | ||||
\(856\) | 12.0017 | − | 10.3995i | 0.410208 | − | 0.355448i | ||||
\(857\) | −0.906064 | − | 6.30181i | −0.0309505 | − | 0.215266i | 0.968477 | − | 0.249104i | \(-0.0801360\pi\) |
−0.999427 | + | 0.0338381i | \(0.989227\pi\) | |||||||
\(858\) | −8.05910 | − | 3.58880i | −0.275133 | − | 0.122520i | ||||
\(859\) | 10.8932 | + | 5.61582i | 0.371670 | + | 0.191609i | 0.633934 | − | 0.773387i | \(-0.281439\pi\) |
−0.262264 | + | 0.964996i | \(0.584469\pi\) | |||||||
\(860\) | −16.8657 | + | 17.6882i | −0.575115 | + | 0.603164i | ||||
\(861\) | 13.3384 | − | 2.04663i | 0.454571 | − | 0.0697489i | ||||
\(862\) | 23.6276 | + | 20.4735i | 0.804761 | + | 0.697329i | ||||
\(863\) | −3.34648 | + | 5.20723i | −0.113916 | + | 0.177256i | −0.893530 | − | 0.449004i | \(-0.851779\pi\) |
0.779614 | + | 0.626260i | \(0.215415\pi\) | |||||||
\(864\) | 0.0999916 | − | 5.19519i | 0.00340178 | − | 0.176744i | ||||
\(865\) | −39.3292 | − | 41.2472i | −1.33723 | − | 1.40245i | ||||
\(866\) | −6.51901 | − | 22.2017i | −0.221525 | − | 0.754444i | ||||
\(867\) | 24.2474 | − | 4.91143i | 0.823484 | − | 0.166801i | ||||
\(868\) | 3.58487 | + | 7.84977i | 0.121678 | + | 0.266439i | ||||
\(869\) | −21.9309 | + | 7.59034i | −0.743953 | + | 0.257485i | ||||
\(870\) | −16.5446 | + | 32.8507i | −0.560915 | + | 1.11374i | ||||
\(871\) | 2.39091 | − | 8.87690i | 0.0810129 | − | 0.300782i | ||||
\(872\) | − | 9.49158i | − | 0.321426i | ||||||
\(873\) | 8.83126 | + | 6.04043i | 0.298893 | + | 0.204438i | ||||
\(874\) | 0.906528 | − | 0.413998i | 0.0306638 | − | 0.0140037i | ||||
\(875\) | 8.02622 | + | 10.2062i | 0.271336 | + | 0.345032i | ||||
\(876\) | 7.86623 | + | 1.43912i | 0.265775 | + | 0.0486233i | ||||
\(877\) | 17.4808 | − | 16.6679i | 0.590283 | − | 0.562834i | −0.334949 | − | 0.942236i | \(-0.608719\pi\) |
0.925232 | + | 0.379403i | \(0.123870\pi\) | |||||||
\(878\) | −2.18987 | − | 0.422063i | −0.0739046 | − | 0.0142439i | ||||
\(879\) | 14.7295 | − | 8.69075i | 0.496815 | − | 0.293132i | ||||
\(880\) | −8.63819 | + | 9.96901i | −0.291193 | + | 0.336055i | ||||
\(881\) | −10.8841 | + | 7.75054i | −0.366695 | + | 0.261122i | −0.748520 | − | 0.663112i | \(-0.769235\pi\) |
0.381825 | + | 0.924235i | \(0.375296\pi\) | |||||||
\(882\) | 0.521562 | − | 4.18811i | 0.0175619 | − | 0.141021i | ||||
\(883\) | 12.4851 | − | 24.2176i | 0.420156 | − | 0.814989i | −0.579844 | − | 0.814727i | \(-0.696887\pi\) |
1.00000 | 0.000261117i | \(-8.31162e-5\pi\) | ||||||||
\(884\) | −0.0880797 | − | 1.84902i | −0.00296244 | − | 0.0621893i | ||||
\(885\) | −65.6546 | − | 22.0306i | −2.20696 | − | 0.740552i | ||||
\(886\) | 11.7927 | + | 13.6095i | 0.396183 | + | 0.457220i | ||||
\(887\) | 32.0831 | + | 7.78328i | 1.07725 | + | 0.261337i | 0.734858 | − | 0.678221i | \(-0.237249\pi\) |
0.342389 | + | 0.939558i | \(0.388764\pi\) | |||||||
\(888\) | 2.38073 | + | 5.08531i | 0.0798919 | + | 0.170652i | ||||
\(889\) | 18.0658 | − | 45.1261i | 0.605906 | − | 1.51348i | ||||
\(890\) | 4.53558 | + | 23.5328i | 0.152033 | + | 0.788822i | ||||
\(891\) | 24.9148 | + | 32.3283i | 0.834677 | + | 1.08304i | ||||
\(892\) | −4.63323 | − | 19.0984i | −0.155132 | − | 0.639462i | ||||
\(893\) | 8.63079 | + | 3.94155i | 0.288818 | + | 0.131899i | ||||
\(894\) | 5.92484 | − | 9.41369i | 0.198156 | − | 0.314841i | ||||
\(895\) | −10.6388 | + | 73.9942i | −0.355615 | + | 2.47335i | ||||
\(896\) | 1.56756 | + | 2.43917i | 0.0523686 | + | 0.0814871i | ||||
\(897\) | 2.32922 | + | 0.200217i | 0.0777703 | + | 0.00668504i | ||||
\(898\) | 4.63291 | − | 15.7782i | 0.154602 | − | 0.526527i | ||||
\(899\) | 19.3140 | − | 9.95706i | 0.644158 | − | 0.332086i | ||||
\(900\) | 4.13328 | − | 9.52299i | 0.137776 | − | 0.317433i | ||||
\(901\) | −7.39650 | − | 4.27037i | −0.246413 | − | 0.142267i | ||||
\(902\) | 0.579829 | − | 12.1721i | 0.0193062 | − | 0.405287i | ||||
\(903\) | −39.3212 | − | 15.3122i | −1.30853 | − | 0.509559i | ||||
\(904\) | 3.94152 | − | 11.3883i | 0.131093 | − | 0.378769i | ||||
\(905\) | 12.0781 | − | 34.8974i | 0.401490 | − | 1.16003i | ||||
\(906\) | −29.6152 | − | 11.5326i | −0.983899 | − | 0.383144i | ||||
\(907\) | −2.10514 | + | 44.1923i | −0.0699000 | + | 1.46738i | 0.642865 | + | 0.765979i | \(0.277745\pi\) |
−0.712765 | + | 0.701403i | \(0.752558\pi\) | |||||||
\(908\) | 19.7335 | + | 11.3932i | 0.654881 | + | 0.378095i | ||||
\(909\) | 12.2254 | − | 28.1672i | 0.405492 | − | 0.934246i | ||||
\(910\) | −8.41909 | + | 4.34034i | −0.279090 | + | 0.143881i | ||||
\(911\) | −16.6564 | + | 56.7265i | −0.551851 | + | 1.87943i | −0.0821232 | + | 0.996622i | \(0.526170\pi\) |
−0.469728 | + | 0.882811i | \(0.655648\pi\) | |||||||
\(912\) | −1.43107 | − | 0.123013i | −0.0473875 | − | 0.00407337i | ||||
\(913\) | −21.9778 | − | 34.1981i | −0.727359 | − | 1.13179i | ||||
\(914\) | −1.80417 | + | 12.5483i | −0.0596767 | + | 0.415061i | ||||
\(915\) | −37.7958 | + | 60.0518i | −1.24949 | + | 1.98525i | ||||
\(916\) | 4.59989 | + | 2.10070i | 0.151985 | + | 0.0694090i | ||||
\(917\) | −2.46933 | − | 10.1787i | −0.0815445 | − | 0.336131i | ||||
\(918\) | −3.70693 | + | 7.72032i | −0.122347 | + | 0.254809i | ||||
\(919\) | −6.46490 | − | 33.5431i | −0.213257 | − | 1.10648i | −0.917867 | − | 0.396889i | \(-0.870090\pi\) |
0.704609 | − | 0.709595i | \(-0.251122\pi\) | |||||||
\(920\) | 1.29916 | − | 3.24514i | 0.0428319 | − | 0.106989i | ||||
\(921\) | 10.1006 | + | 21.5751i | 0.332825 | + | 0.710925i | ||||
\(922\) | −18.9359 | − | 4.59380i | −0.623621 | − | 0.151289i | ||||
\(923\) | −9.30876 | − | 10.7429i | −0.306402 | − | 0.353606i | ||||
\(924\) | −21.5916 | − | 7.24515i | −0.710312 | − | 0.238348i | ||||
\(925\) | 0.533779 | + | 11.2054i | 0.0175505 | + | 0.368431i | ||||
\(926\) | 2.17465 | − | 4.21823i | 0.0714633 | − | 0.138619i | ||||
\(927\) | −5.02784 | + | 40.3732i | −0.165136 | + | 1.32603i | ||||
\(928\) | 5.94712 | − | 4.23493i | 0.195224 | − | 0.139018i | ||||
\(929\) | −35.3766 | + | 40.8268i | −1.16067 | + | 1.33948i | −0.230186 | + | 0.973147i | \(0.573934\pi\) |
−0.930482 | + | 0.366336i | \(0.880612\pi\) | |||||||
\(930\) | −12.9142 | + | 7.61966i | −0.423473 | + | 0.249858i | ||||
\(931\) | −1.14556 | − | 0.220789i | −0.0375442 | − | 0.00723606i | ||||
\(932\) | −15.2340 | + | 14.5256i | −0.499008 | + | 0.475803i | ||||
\(933\) | −7.93219 | − | 1.45119i | −0.259688 | − | 0.0475097i | ||||
\(934\) | 1.72936 | + | 2.19906i | 0.0565864 | + | 0.0719555i | ||||
\(935\) | 19.7762 | − | 9.03147i | 0.646750 | − | 0.295361i | ||||
\(936\) | −2.78109 | − | 1.90221i | −0.0909026 | − | 0.0621758i | ||||
\(937\) | 25.3671i | 0.828707i | 0.910116 | + | 0.414354i | \(0.135992\pi\) | ||||
−0.910116 | + | 0.414354i | \(0.864008\pi\) | |||||||
\(938\) | 3.96602 | − | 23.3993i | 0.129495 | − | 0.764015i | ||||
\(939\) | 12.1882 | − | 24.2006i | 0.397746 | − | 0.789758i | ||||
\(940\) | 31.4495 | − | 10.8848i | 1.02577 | − | 0.355023i | ||||
\(941\) | −15.1736 | − | 33.2256i | −0.494646 | − | 1.08312i | −0.978173 | − | 0.207794i | \(-0.933372\pi\) |
0.483527 | − | 0.875330i | \(-0.339356\pi\) | |||||||
\(942\) | 10.0151 | − | 2.02861i | 0.326309 | − | 0.0660956i | ||||
\(943\) | 0.909774 | + | 3.09841i | 0.0296263 | + | 0.100898i | ||||
\(944\) | 9.48585 | + | 9.94847i | 0.308738 | + | 0.323795i | ||||
\(945\) | 43.8141 | + | 0.843287i | 1.42527 | + | 0.0274321i | ||||
\(946\) | −20.6013 | + | 32.0563i | −0.669807 | + | 1.04224i | ||||
\(947\) | 30.1800 | + | 26.1511i | 0.980717 | + | 0.849797i | 0.988660 | − | 0.150172i | \(-0.0479827\pi\) |
−0.00794243 | + | 0.999968i | \(0.502528\pi\) | |||||||
\(948\) | −8.76099 | + | 1.34428i | −0.284544 | + | 0.0436601i | ||||
\(949\) | 3.57837 | − | 3.75289i | 0.116159 | − | 0.121824i | ||||
\(950\) | −2.55065 | − | 1.31495i | −0.0827540 | − | 0.0426626i | ||||
\(951\) | −3.51443 | − | 1.56501i | −0.113963 | − | 0.0507490i | ||||
\(952\) | −0.680093 | − | 4.73015i | −0.0220420 | − | 0.153305i | ||||
\(953\) | −38.1591 | + | 33.0651i | −1.23610 | + | 1.07108i | −0.241169 | + | 0.970483i | \(0.577531\pi\) |
−0.994927 | + | 0.100600i | \(0.967924\pi\) | |||||||
\(954\) | −14.3205 | + | 6.04958i | −0.463642 | + | 0.195862i | ||||
\(955\) | −33.4436 | − | 26.3004i | −1.08221 | − | 0.851060i | ||||
\(956\) | −4.47842 | − | 1.79289i | −0.144842 | − | 0.0579861i | ||||
\(957\) | −15.6358 | + | 55.1747i | −0.505435 | + | 1.78354i | ||||
\(958\) | 6.97468 | + | 4.96664i | 0.225342 | + | 0.160465i | ||||
\(959\) | 7.83575 | − | 1.90093i | 0.253030 | − | 0.0613843i | ||||
\(960\) | −3.93051 | + | 3.15157i | −0.126857 | + | 0.101716i | ||||
\(961\) | −22.0414 | − | 2.10470i | −0.711014 | − | 0.0678936i | ||||
\(962\) | 3.60394 | + | 0.518168i | 0.116196 | + | 0.0167064i | ||||
\(963\) | −16.8673 | + | 44.5556i | −0.543542 | + | 1.43578i | ||||
\(964\) | −5.80153 | + | 2.32258i | −0.186855 | + | 0.0748054i | ||||
\(965\) | −67.9761 | − | 19.9596i | −2.18823 | − | 0.642522i | ||||
\(966\) | 6.03495 | − | 0.0570427i | 0.194171 | − | 0.00183532i | ||||
\(967\) | −6.55011 | − | 11.3451i | −0.210637 | − | 0.364835i | 0.741277 | − | 0.671199i | \(-0.234221\pi\) |
−0.951914 | + | 0.306365i | \(0.900887\pi\) | |||||||
\(968\) | −4.78313 | + | 8.28462i | −0.153736 | + | 0.266278i | ||||
\(969\) | 2.06128 | + | 1.16424i | 0.0662178 | + | 0.0374009i | ||||
\(970\) | −0.986088 | − | 10.3268i | −0.0316614 | − | 0.331573i | ||||
\(971\) | 12.8113 | + | 4.43403i | 0.411134 | + | 0.142295i | 0.524803 | − | 0.851224i | \(-0.324139\pi\) |
−0.113669 | + | 0.993519i | \(0.536260\pi\) | |||||||
\(972\) | 7.13832 | + | 13.8580i | 0.228962 | + | 0.444496i | ||||
\(973\) | −8.58474 | + | 0.819743i | −0.275214 | + | 0.0262798i | ||||
\(974\) | −33.5364 | − | 1.59754i | −1.07458 | − | 0.0511884i | ||||
\(975\) | −3.69277 | − | 5.62838i | −0.118263 | − | 0.180253i | ||||
\(976\) | 12.1973 | − | 7.04209i | 0.390425 | − | 0.225412i | ||||
\(977\) | −6.34174 | − | 12.3013i | −0.202890 | − | 0.393552i | 0.765335 | − | 0.643632i | \(-0.222573\pi\) |
−0.968225 | + | 0.250080i | \(0.919543\pi\) | |||||||
\(978\) | 19.4440 | + | 18.1921i | 0.621750 | + | 0.581718i | ||||
\(979\) | 13.8875 | + | 34.6893i | 0.443846 | + | 1.10867i | ||||
\(980\) | −3.44241 | + | 2.21230i | −0.109964 | + | 0.0706693i | ||||
\(981\) | 13.5240 | + | 25.0582i | 0.431787 | + | 0.800047i | ||||
\(982\) | 1.06949 | − | 11.2002i | 0.0341287 | − | 0.357412i | ||||
\(983\) | 9.87389 | − | 21.6208i | 0.314928 | − | 0.689596i | −0.684287 | − | 0.729213i | \(-0.739886\pi\) |
0.999215 | + | 0.0396166i | \(0.0126137\pi\) | |||||||
\(984\) | 1.05446 | − | 4.53313i | 0.0336150 | − | 0.144511i | ||||
\(985\) | −23.0157 | + | 32.3211i | −0.733342 | + | 1.02983i | ||||
\(986\) | −11.8157 | + | 2.27728i | −0.376287 | + | 0.0725234i | ||||
\(987\) | 38.0368 | + | 43.0674i | 1.21072 | + | 1.37085i | ||||
\(988\) | −0.575745 | + | 0.732120i | −0.0183169 | + | 0.0232918i | ||||
\(989\) | 2.38064 | − | 9.81313i | 0.0757000 | − | 0.312039i | ||||
\(990\) | 8.60101 | − | 38.6266i | 0.273358 | − | 1.22764i | ||||
\(991\) | 22.0602 | − | 3.17177i | 0.700765 | − | 0.100755i | 0.217282 | − | 0.976109i | \(-0.430281\pi\) |
0.483482 | + | 0.875354i | \(0.339372\pi\) | |||||||
\(992\) | 2.97292 | − | 0.141618i | 0.0943903 | − | 0.00449637i | ||||
\(993\) | −11.9562 | + | 8.68546i | −0.379419 | + | 0.275625i | ||||
\(994\) | −26.5587 | − | 25.3236i | −0.842390 | − | 0.803217i | ||||
\(995\) | −24.1034 | − | 33.8485i | −0.764128 | − | 1.07307i | ||||
\(996\) | −5.90639 | − | 14.3586i | −0.187151 | − | 0.454970i | ||||
\(997\) | −13.6953 | − | 8.80143i | −0.433734 | − | 0.278744i | 0.305500 | − | 0.952192i | \(-0.401176\pi\) |
−0.739235 | + | 0.673448i | \(0.764813\pi\) | |||||||
\(998\) | −3.78835 | + | 19.6558i | −0.119918 | + | 0.622195i | ||||
\(999\) | −13.5310 | − | 10.0333i | −0.428101 | − | 0.317440i |
(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 | 402.2.n.b.11.6 | yes | 220 | |
3.2 | odd | 2 | 402.2.n.a.11.9 | ✓ | 220 | ||
67.61 | odd | 66 | 402.2.n.a.329.9 | yes | 220 | ||
201.128 | even | 66 | inner | 402.2.n.b.329.6 | yes | 220 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
402.2.n.a.11.9 | ✓ | 220 | 3.2 | odd | 2 | ||
402.2.n.a.329.9 | yes | 220 | 67.61 | odd | 66 | ||
402.2.n.b.11.6 | yes | 220 | 1.1 | even | 1 | trivial | |
402.2.n.b.329.6 | yes | 220 | 201.128 | even | 66 | inner |