Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(19,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 0, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.t (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 19.13 | ||
Character | \(\chi\) | \(=\) | 552.19 |
Dual form | 552.2.t.a.523.13 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{15}{22}\right)\) | \(1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.143733 | − | 1.40689i | −0.101635 | − | 0.994822i | ||||
\(3\) | 0.959493 | − | 0.281733i | 0.553964 | − | 0.162658i | ||||
\(4\) | −1.95868 | + | 0.404434i | −0.979341 | + | 0.202217i | ||||
\(5\) | 1.74343 | + | 1.12044i | 0.779687 | + | 0.501075i | 0.868930 | − | 0.494935i | \(-0.164808\pi\) |
−0.0892425 | + | 0.996010i | \(0.528445\pi\) | |||||||
\(6\) | −0.534278 | − | 1.30941i | −0.218118 | − | 0.534563i | ||||
\(7\) | −0.425534 | − | 2.95966i | −0.160837 | − | 1.11864i | −0.897061 | − | 0.441907i | \(-0.854302\pi\) |
0.736224 | − | 0.676738i | \(-0.236607\pi\) | |||||||
\(8\) | 0.850523 | + | 2.69752i | 0.300705 | + | 0.953717i | ||||
\(9\) | 0.841254 | − | 0.540641i | 0.280418 | − | 0.180214i | ||||
\(10\) | 1.32574 | − | 2.61386i | 0.419237 | − | 0.826577i | ||||
\(11\) | −4.44237 | − | 2.02876i | −1.33943 | − | 0.611696i | −0.388596 | − | 0.921408i | \(-0.627040\pi\) |
−0.950830 | + | 0.309713i | \(0.899767\pi\) | |||||||
\(12\) | −1.76540 | + | 0.939876i | −0.509627 | + | 0.271319i | ||||
\(13\) | 3.52120 | + | 0.506272i | 0.976605 | + | 0.140415i | 0.612094 | − | 0.790785i | \(-0.290327\pi\) |
0.364511 | + | 0.931199i | \(0.381236\pi\) | |||||||
\(14\) | −4.10275 | + | 1.02408i | −1.09651 | + | 0.273697i | ||||
\(15\) | 1.98848 | + | 0.583869i | 0.513422 | + | 0.150754i | ||||
\(16\) | 3.67287 | − | 1.58432i | 0.918216 | − | 0.396079i | ||||
\(17\) | 4.85619 | − | 4.20791i | 1.17780 | − | 1.02057i | 0.178469 | − | 0.983946i | \(-0.442886\pi\) |
0.999329 | − | 0.0366222i | \(-0.0116598\pi\) | |||||||
\(18\) | −0.881539 | − | 1.10584i | −0.207781 | − | 0.260650i | ||||
\(19\) | −4.32768 | − | 3.74996i | −0.992838 | − | 0.860299i | −0.00264394 | − | 0.999997i | \(-0.500842\pi\) |
−0.990194 | + | 0.139697i | \(0.955387\pi\) | |||||||
\(20\) | −3.86797 | − | 1.48947i | −0.864905 | − | 0.333057i | ||||
\(21\) | −1.24213 | − | 2.71988i | −0.271055 | − | 0.593527i | ||||
\(22\) | −2.21573 | + | 6.54154i | −0.472396 | + | 1.39466i | ||||
\(23\) | 3.86907 | + | 2.83377i | 0.806758 | + | 0.590883i | ||||
\(24\) | 1.57605 | + | 2.34863i | 0.321710 | + | 0.479412i | ||||
\(25\) | −0.292892 | − | 0.641344i | −0.0585784 | − | 0.128269i | ||||
\(26\) | 0.206155 | − | 5.02671i | 0.0404304 | − | 0.985819i | ||||
\(27\) | 0.654861 | − | 0.755750i | 0.126028 | − | 0.145444i | ||||
\(28\) | 2.03047 | + | 5.62492i | 0.383723 | + | 1.06301i | ||||
\(29\) | 6.04563 | − | 5.23857i | 1.12265 | − | 0.972778i | 0.122839 | − | 0.992427i | \(-0.460800\pi\) |
0.999807 | + | 0.0196481i | \(0.00625458\pi\) | |||||||
\(30\) | 0.535630 | − | 2.88149i | 0.0977921 | − | 0.526086i | ||||
\(31\) | −0.936165 | + | 3.18829i | −0.168140 | + | 0.572633i | 0.831708 | + | 0.555213i | \(0.187363\pi\) |
−0.999848 | + | 0.0174198i | \(0.994455\pi\) | |||||||
\(32\) | −2.75687 | − | 4.93960i | −0.487351 | − | 0.873206i | ||||
\(33\) | −4.83400 | − | 0.695024i | −0.841491 | − | 0.120988i | ||||
\(34\) | −6.61806 | − | 6.22730i | −1.13499 | − | 1.06797i | ||||
\(35\) | 2.57422 | − | 5.63675i | 0.435122 | − | 0.952785i | ||||
\(36\) | −1.42909 | + | 1.39917i | −0.238182 | + | 0.233196i | ||||
\(37\) | −2.77695 | + | 1.78464i | −0.456527 | + | 0.293392i | −0.748622 | − | 0.662997i | \(-0.769284\pi\) |
0.292095 | + | 0.956389i | \(0.405648\pi\) | |||||||
\(38\) | −4.65375 | + | 6.62757i | −0.754937 | + | 1.07513i | ||||
\(39\) | 3.52120 | − | 0.506272i | 0.563843 | − | 0.0810684i | ||||
\(40\) | −1.53957 | + | 5.65590i | −0.243427 | + | 0.894277i | ||||
\(41\) | −2.80720 | − | 1.80408i | −0.438411 | − | 0.281750i | 0.302759 | − | 0.953067i | \(-0.402092\pi\) |
−0.741170 | + | 0.671318i | \(0.765729\pi\) | |||||||
\(42\) | −3.64804 | + | 2.13848i | −0.562905 | + | 0.329974i | ||||
\(43\) | 1.30598 | + | 4.44776i | 0.199160 | + | 0.678277i | 0.997139 | + | 0.0755912i | \(0.0240844\pi\) |
−0.797979 | + | 0.602685i | \(0.794097\pi\) | |||||||
\(44\) | 9.52170 | + | 2.17705i | 1.43545 | + | 0.328203i | ||||
\(45\) | 2.07242 | 0.308939 | ||||||||
\(46\) | 3.43069 | − | 5.85067i | 0.505828 | − | 0.862634i | ||||
\(47\) | − | 3.08218i | − | 0.449582i | −0.974407 | − | 0.224791i | \(-0.927830\pi\) | ||
0.974407 | − | 0.224791i | \(-0.0721700\pi\) | |||||||
\(48\) | 3.07774 | − | 2.55491i | 0.444233 | − | 0.368769i | ||||
\(49\) | −1.86203 | + | 0.546743i | −0.266005 | + | 0.0781061i | ||||
\(50\) | −0.860202 | + | 0.504250i | −0.121651 | + | 0.0713117i | ||||
\(51\) | 3.47397 | − | 5.40560i | 0.486453 | − | 0.756936i | ||||
\(52\) | −7.10166 | + | 0.432468i | −0.984823 | + | 0.0599726i | ||||
\(53\) | 1.64905 | + | 11.4694i | 0.226515 | + | 1.57545i | 0.712623 | + | 0.701547i | \(0.247507\pi\) |
−0.486108 | + | 0.873899i | \(0.661584\pi\) | |||||||
\(54\) | −1.15738 | − | 0.812691i | −0.157500 | − | 0.110593i | ||||
\(55\) | −5.47188 | − | 8.51442i | −0.737829 | − | 1.14808i | ||||
\(56\) | 7.62180 | − | 3.66514i | 1.01851 | − | 0.489775i | ||||
\(57\) | −5.20886 | − | 2.37881i | −0.689931 | − | 0.315081i | ||||
\(58\) | −8.23906 | − | 7.75259i | −1.08184 | − | 1.01796i | ||||
\(59\) | −1.34841 | + | 9.37841i | −0.175548 | + | 1.22096i | 0.691365 | + | 0.722506i | \(0.257010\pi\) |
−0.866913 | + | 0.498459i | \(0.833899\pi\) | |||||||
\(60\) | −4.13093 | − | 0.339406i | −0.533301 | − | 0.0438171i | ||||
\(61\) | −5.25524 | − | 1.54308i | −0.672864 | − | 0.197571i | −0.0725863 | − | 0.997362i | \(-0.523125\pi\) |
−0.600278 | + | 0.799791i | \(0.704943\pi\) | |||||||
\(62\) | 4.62013 | + | 0.858819i | 0.586757 | + | 0.109070i | ||||
\(63\) | −1.95809 | − | 2.25976i | −0.246697 | − | 0.284703i | ||||
\(64\) | −6.55322 | + | 4.58860i | −0.819153 | + | 0.573575i | ||||
\(65\) | 5.57173 | + | 4.82793i | 0.691088 | + | 0.598831i | ||||
\(66\) | −0.283015 | + | 6.90080i | −0.0348368 | + | 0.849430i | ||||
\(67\) | −8.99701 | + | 4.10879i | −1.09916 | + | 0.501969i | −0.880603 | − | 0.473855i | \(-0.842862\pi\) |
−0.218556 | + | 0.975824i | \(0.570135\pi\) | |||||||
\(68\) | −7.80990 | + | 10.2060i | −0.947089 | + | 1.23765i | ||||
\(69\) | 4.51071 | + | 1.62894i | 0.543026 | + | 0.196102i | ||||
\(70\) | −8.30029 | − | 2.81145i | −0.992074 | − | 0.336033i | ||||
\(71\) | 4.48533 | − | 2.04838i | 0.532311 | − | 0.243098i | −0.131079 | − | 0.991372i | \(-0.541844\pi\) |
0.663390 | + | 0.748274i | \(0.269117\pi\) | |||||||
\(72\) | 2.17389 | + | 1.80947i | 0.256196 | + | 0.213248i | ||||
\(73\) | −3.23842 | + | 3.73734i | −0.379029 | + | 0.437422i | −0.912925 | − | 0.408128i | \(-0.866182\pi\) |
0.533896 | + | 0.845550i | \(0.320727\pi\) | |||||||
\(74\) | 2.90993 | + | 3.65035i | 0.338272 | + | 0.424345i | ||||
\(75\) | −0.461715 | − | 0.532848i | −0.0533143 | − | 0.0615280i | ||||
\(76\) | 9.99316 | + | 5.59471i | 1.14629 | + | 0.641757i | ||||
\(77\) | −4.11406 | + | 14.0112i | −0.468841 | + | 1.59673i | ||||
\(78\) | −1.21838 | − | 4.88117i | −0.137955 | − | 0.552684i | ||||
\(79\) | −0.584217 | + | 4.06332i | −0.0657295 | + | 0.457159i | 0.930202 | + | 0.367047i | \(0.119631\pi\) |
−0.995932 | + | 0.0901112i | \(0.971278\pi\) | |||||||
\(80\) | 8.17853 | + | 1.35306i | 0.914387 | + | 0.151277i | ||||
\(81\) | 0.415415 | − | 0.909632i | 0.0461572 | − | 0.101070i | ||||
\(82\) | −2.13465 | + | 4.20873i | −0.235733 | + | 0.464776i | ||||
\(83\) | 9.01602 | + | 14.0292i | 0.989637 | + | 1.53991i | 0.833759 | + | 0.552129i | \(0.186184\pi\) |
0.155878 | + | 0.987776i | \(0.450179\pi\) | |||||||
\(84\) | 3.53295 | + | 4.82502i | 0.385476 | + | 0.526453i | ||||
\(85\) | 13.1811 | − | 1.89516i | 1.42969 | − | 0.205559i | ||||
\(86\) | 6.06979 | − | 2.47666i | 0.654523 | − | 0.267065i | ||||
\(87\) | 4.32487 | − | 6.72963i | 0.463674 | − | 0.721492i | ||||
\(88\) | 1.69429 | − | 13.7089i | 0.180612 | − | 1.46137i | ||||
\(89\) | −1.19659 | − | 4.07521i | −0.126838 | − | 0.431971i | 0.871448 | − | 0.490488i | \(-0.163181\pi\) |
−0.998286 | + | 0.0585161i | \(0.981363\pi\) | |||||||
\(90\) | −0.297877 | − | 2.91567i | −0.0313989 | − | 0.307339i | ||||
\(91\) | − | 10.6370i | − | 1.11506i | ||||||
\(92\) | −8.72436 | − | 3.98567i | −0.909577 | − | 0.415535i | ||||
\(93\) | 3.32289i | 0.344567i | ||||||||
\(94\) | −4.33629 | + | 0.443012i | −0.447254 | + | 0.0456932i | ||||
\(95\) | −3.34344 | − | 11.3867i | −0.343029 | − | 1.16825i | ||||
\(96\) | −4.03685 | − | 3.96281i | −0.412009 | − | 0.404453i | ||||
\(97\) | −1.71102 | + | 2.66239i | −0.173727 | + | 0.270325i | −0.917188 | − | 0.398455i | \(-0.869547\pi\) |
0.743461 | + | 0.668780i | \(0.233183\pi\) | |||||||
\(98\) | 1.03684 | + | 2.54109i | 0.104737 | + | 0.256689i | ||||
\(99\) | −4.83400 | + | 0.695024i | −0.485835 | + | 0.0698525i | ||||
\(100\) | 0.833064 | + | 1.13773i | 0.0833064 | + | 0.113773i | ||||
\(101\) | 8.76593 | + | 13.6401i | 0.872243 | + | 1.35724i | 0.933298 | + | 0.359102i | \(0.116917\pi\) |
−0.0610551 | + | 0.998134i | \(0.519447\pi\) | |||||||
\(102\) | −8.10442 | − | 4.11053i | −0.802457 | − | 0.407003i | ||||
\(103\) | −0.281291 | + | 0.615941i | −0.0277164 | + | 0.0606905i | −0.922984 | − | 0.384839i | \(-0.874257\pi\) |
0.895267 | + | 0.445529i | \(0.146984\pi\) | |||||||
\(104\) | 1.62918 | + | 9.92910i | 0.159754 | + | 0.973628i | ||||
\(105\) | 0.881888 | − | 6.13366i | 0.0860634 | − | 0.598584i | ||||
\(106\) | 15.8992 | − | 3.96858i | 1.54427 | − | 0.385462i | ||||
\(107\) | 4.51233 | − | 15.3676i | 0.436224 | − | 1.48564i | −0.389214 | − | 0.921147i | \(-0.627253\pi\) |
0.825437 | − | 0.564494i | \(-0.190929\pi\) | |||||||
\(108\) | −0.977012 | + | 1.74512i | −0.0940131 | + | 0.167924i | ||||
\(109\) | −5.99850 | − | 6.92264i | −0.574552 | − | 0.663069i | 0.391872 | − | 0.920020i | \(-0.371828\pi\) |
−0.966424 | + | 0.256951i | \(0.917282\pi\) | |||||||
\(110\) | −11.1924 | + | 8.92215i | −1.06715 | + | 0.850693i | ||||
\(111\) | −2.16167 | + | 2.49470i | −0.205177 | + | 0.236787i | ||||
\(112\) | −6.25196 | − | 10.1962i | −0.590755 | − | 0.963454i | ||||
\(113\) | 11.0914 | − | 5.06527i | 1.04339 | − | 0.476501i | 0.181392 | − | 0.983411i | \(-0.441940\pi\) |
0.861999 | + | 0.506910i | \(0.169212\pi\) | |||||||
\(114\) | −2.59804 | + | 7.67022i | −0.243328 | + | 0.718382i | ||||
\(115\) | 3.57041 | + | 9.27555i | 0.332942 | + | 0.864950i | ||||
\(116\) | −9.72281 | + | 12.7058i | −0.902741 | + | 1.17970i | ||||
\(117\) | 3.23593 | − | 1.47780i | 0.299162 | − | 0.136623i | ||||
\(118\) | 13.3882 | + | 0.549077i | 1.23248 | + | 0.0505466i | ||||
\(119\) | −14.5204 | − | 12.5820i | −1.33109 | − | 1.15339i | ||||
\(120\) | 0.116246 | + | 5.86055i | 0.0106117 | + | 0.534992i | ||||
\(121\) | 8.41534 | + | 9.71182i | 0.765031 | + | 0.882893i | ||||
\(122\) | −1.41559 | + | 7.61534i | −0.128161 | + | 0.689460i | ||||
\(123\) | −3.20175 | − | 0.940120i | −0.288693 | − | 0.0847678i | ||||
\(124\) | 0.544197 | − | 6.62345i | 0.0488703 | − | 0.594804i | ||||
\(125\) | 1.68263 | − | 11.7030i | 0.150499 | − | 1.04674i | ||||
\(126\) | −2.89779 | + | 3.07963i | −0.258156 | + | 0.274355i | ||||
\(127\) | 12.4208 | + | 5.67237i | 1.10216 | + | 0.503342i | 0.881584 | − | 0.472027i | \(-0.156478\pi\) |
0.220580 | + | 0.975369i | \(0.429205\pi\) | |||||||
\(128\) | 7.39758 | + | 8.56013i | 0.653860 | + | 0.756616i | ||||
\(129\) | 2.50616 | + | 3.89965i | 0.220655 | + | 0.343345i | ||||
\(130\) | 5.99153 | − | 8.53275i | 0.525492 | − | 0.748372i | ||||
\(131\) | 0.159422 | + | 1.10880i | 0.0139288 | + | 0.0968767i | 0.995600 | − | 0.0937060i | \(-0.0298714\pi\) |
−0.981671 | + | 0.190583i | \(0.938962\pi\) | |||||||
\(132\) | 9.74935 | − | 0.593704i | 0.848572 | − | 0.0516753i | ||||
\(133\) | −9.25701 | + | 14.4042i | −0.802684 | + | 1.24900i | ||||
\(134\) | 7.07379 | + | 12.0672i | 0.611083 | + | 1.04245i | ||||
\(135\) | 1.98848 | − | 0.583869i | 0.171141 | − | 0.0502515i | ||||
\(136\) | 15.4812 | + | 9.52073i | 1.32750 | + | 0.816396i | ||||
\(137\) | − | 8.71467i | − | 0.744545i | −0.928124 | − | 0.372272i | \(-0.878579\pi\) | ||
0.928124 | − | 0.372272i | \(-0.121421\pi\) | |||||||
\(138\) | 1.64340 | − | 6.58021i | 0.139896 | − | 0.560145i | ||||
\(139\) | 19.9826 | 1.69490 | 0.847449 | − | 0.530876i | \(-0.178137\pi\) | ||||
0.847449 | + | 0.530876i | \(0.178137\pi\) | |||||||
\(140\) | −2.76238 | + | 12.0817i | −0.233463 | + | 1.02109i | ||||
\(141\) | −0.868351 | − | 2.95733i | −0.0731283 | − | 0.249052i | ||||
\(142\) | −3.52654 | − | 6.01595i | −0.295941 | − | 0.504847i | ||||
\(143\) | −14.6154 | − | 9.39273i | −1.22220 | − | 0.785460i | ||||
\(144\) | 2.23327 | − | 3.31851i | 0.186105 | − | 0.276543i | ||||
\(145\) | 16.4097 | − | 2.35935i | 1.36275 | − | 0.195934i | ||||
\(146\) | 5.72350 | + | 4.01893i | 0.473680 | + | 0.332609i | ||||
\(147\) | −1.63257 | + | 1.04919i | −0.134652 | + | 0.0865358i | ||||
\(148\) | 4.71739 | − | 4.61863i | 0.387767 | − | 0.379649i | ||||
\(149\) | −7.54858 | + | 16.5291i | −0.618404 | + | 1.35412i | 0.298271 | + | 0.954481i | \(0.403590\pi\) |
−0.916675 | + | 0.399634i | \(0.869137\pi\) | |||||||
\(150\) | −0.683295 | + | 0.726171i | −0.0557908 | + | 0.0592916i | ||||
\(151\) | −17.3423 | − | 2.49345i | −1.41130 | − | 0.202914i | −0.605850 | − | 0.795579i | \(-0.707167\pi\) |
−0.805450 | + | 0.592664i | \(0.798076\pi\) | |||||||
\(152\) | 6.43479 | − | 14.8634i | 0.521930 | − | 1.20558i | ||||
\(153\) | 1.81032 | − | 6.16537i | 0.146355 | − | 0.498441i | ||||
\(154\) | 20.3036 | + | 3.77416i | 1.63611 | + | 0.304130i | ||||
\(155\) | −5.20442 | + | 4.50965i | −0.418029 | + | 0.362224i | ||||
\(156\) | −6.69215 | + | 2.41572i | −0.535801 | + | 0.193412i | ||||
\(157\) | −10.4676 | + | 12.0803i | −0.835406 | + | 0.964110i | −0.999751 | − | 0.0222928i | \(-0.992903\pi\) |
0.164345 | + | 0.986403i | \(0.447449\pi\) | |||||||
\(158\) | 5.80061 | + | 0.237895i | 0.461472 | + | 0.0189259i | ||||
\(159\) | 4.81356 | + | 10.5402i | 0.381740 | + | 0.835895i | ||||
\(160\) | 0.728086 | − | 11.7008i | 0.0575602 | − | 0.925027i | ||||
\(161\) | 6.74057 | − | 12.6570i | 0.531232 | − | 0.997511i | ||||
\(162\) | −1.33946 | − | 0.453699i | −0.105238 | − | 0.0356460i | ||||
\(163\) | 3.15140 | + | 6.90060i | 0.246837 | + | 0.540497i | 0.991978 | − | 0.126410i | \(-0.0403453\pi\) |
−0.745141 | + | 0.666906i | \(0.767618\pi\) | |||||||
\(164\) | 6.22804 | + | 2.39828i | 0.486328 | + | 0.187275i | ||||
\(165\) | −7.64902 | − | 6.62792i | −0.595476 | − | 0.515983i | ||||
\(166\) | 18.4416 | − | 14.7010i | 1.43135 | − | 1.14102i | ||||
\(167\) | 8.22884 | − | 7.13033i | 0.636766 | − | 0.551761i | −0.275530 | − | 0.961293i | \(-0.588853\pi\) |
0.912296 | + | 0.409531i | \(0.134308\pi\) | |||||||
\(168\) | 6.28048 | − | 5.66399i | 0.484549 | − | 0.436986i | ||||
\(169\) | −0.330877 | − | 0.0971542i | −0.0254521 | − | 0.00747340i | ||||
\(170\) | −4.56085 | − | 18.2720i | −0.349802 | − | 1.40140i | ||||
\(171\) | −5.66806 | − | 0.814944i | −0.433447 | − | 0.0623203i | ||||
\(172\) | −4.35682 | − | 8.18356i | −0.332205 | − | 0.623990i | ||||
\(173\) | 21.0208 | + | 9.59986i | 1.59818 | + | 0.729863i | 0.997569 | − | 0.0696796i | \(-0.0221977\pi\) |
0.600609 | + | 0.799543i | \(0.294925\pi\) | |||||||
\(174\) | −10.0895 | − | 5.11734i | −0.764881 | − | 0.387945i | ||||
\(175\) | −1.77352 | + | 1.13977i | −0.134066 | + | 0.0861588i | ||||
\(176\) | −19.5304 | − | 0.413254i | −1.47216 | − | 0.0311502i | ||||
\(177\) | 1.34841 | + | 9.37841i | 0.101353 | + | 0.704924i | ||||
\(178\) | −5.56138 | + | 2.26921i | −0.416843 | + | 0.170085i | ||||
\(179\) | 2.62407 | + | 1.68639i | 0.196132 | + | 0.126046i | 0.635021 | − | 0.772495i | \(-0.280991\pi\) |
−0.438889 | + | 0.898541i | \(0.644628\pi\) | |||||||
\(180\) | −4.05922 | + | 0.838159i | −0.302556 | + | 0.0624727i | ||||
\(181\) | −16.7146 | + | 4.90786i | −1.24239 | + | 0.364798i | −0.835913 | − | 0.548863i | \(-0.815061\pi\) |
−0.406477 | + | 0.913661i | \(0.633243\pi\) | |||||||
\(182\) | −14.9651 | + | 1.52889i | −1.10928 | + | 0.113329i | ||||
\(183\) | −5.47710 | −0.404879 | ||||||||
\(184\) | −4.35342 | + | 12.8471i | −0.320939 | + | 0.947100i | ||||
\(185\) | −6.84100 | −0.502960 | ||||||||
\(186\) | 4.67494 | − | 0.477610i | 0.342783 | − | 0.0350201i | ||||
\(187\) | −30.1099 | + | 8.84105i | −2.20185 | + | 0.646522i | ||||
\(188\) | 1.24654 | + | 6.03701i | 0.0909133 | + | 0.440294i | ||||
\(189\) | −2.51542 | − | 1.61657i | −0.182970 | − | 0.117588i | ||||
\(190\) | −15.5393 | + | 6.34050i | −1.12734 | + | 0.459988i | ||||
\(191\) | 0.883781 | + | 6.14683i | 0.0639481 | + | 0.444769i | 0.996490 | + | 0.0837080i | \(0.0266763\pi\) |
−0.932542 | + | 0.361061i | \(0.882415\pi\) | |||||||
\(192\) | −4.99501 | + | 6.24899i | −0.360484 | + | 0.450982i | ||||
\(193\) | −5.81720 | + | 3.73849i | −0.418731 | + | 0.269102i | −0.732996 | − | 0.680233i | \(-0.761879\pi\) |
0.314264 | + | 0.949335i | \(0.398242\pi\) | |||||||
\(194\) | 3.99163 | + | 2.02454i | 0.286582 | + | 0.145353i | ||||
\(195\) | 6.70622 | + | 3.06263i | 0.480243 | + | 0.219319i | ||||
\(196\) | 3.42601 | − | 1.82396i | 0.244715 | − | 0.130283i | ||||
\(197\) | 3.87107 | + | 0.556576i | 0.275802 | + | 0.0396544i | 0.278828 | − | 0.960341i | \(-0.410054\pi\) |
−0.00302571 | + | 0.999995i | \(0.500963\pi\) | |||||||
\(198\) | 1.67263 | + | 6.70101i | 0.118869 | + | 0.476220i | ||||
\(199\) | 9.17517 | + | 2.69407i | 0.650411 | + | 0.190978i | 0.590262 | − | 0.807212i | \(-0.299024\pi\) |
0.0601485 | + | 0.998189i | \(0.480843\pi\) | |||||||
\(200\) | 1.48093 | − | 1.33556i | 0.104717 | − | 0.0944383i | ||||
\(201\) | −7.47498 | + | 6.47711i | −0.527245 | + | 0.456860i | ||||
\(202\) | 17.9301 | − | 14.2932i | 1.26156 | − | 1.00567i | ||||
\(203\) | −18.0770 | − | 15.6638i | −1.26876 | − | 1.09938i | ||||
\(204\) | −4.61819 | + | 11.9928i | −0.323338 | + | 0.839667i | ||||
\(205\) | −2.87281 | − | 6.29058i | −0.200646 | − | 0.439353i | ||||
\(206\) | 0.906993 | + | 0.307214i | 0.0631932 | + | 0.0214046i | ||||
\(207\) | 4.78693 | + | 0.292143i | 0.332714 | + | 0.0203054i | ||||
\(208\) | 13.7350 | − | 3.71922i | 0.952350 | − | 0.257882i | ||||
\(209\) | 11.6174 | + | 25.4386i | 0.803592 | + | 1.75962i | ||||
\(210\) | −8.75615 | − | 0.359107i | −0.604232 | − | 0.0247807i | ||||
\(211\) | 0.556049 | − | 0.641715i | 0.0382800 | − | 0.0441775i | −0.736287 | − | 0.676670i | \(-0.763423\pi\) |
0.774567 | + | 0.632492i | \(0.217968\pi\) | |||||||
\(212\) | −7.86860 | − | 21.7980i | −0.540418 | − | 1.49709i | ||||
\(213\) | 3.72655 | − | 3.22907i | 0.255339 | − | 0.221252i | ||||
\(214\) | −22.2691 | − | 4.13952i | −1.52228 | − | 0.282972i | ||||
\(215\) | −2.70654 | + | 9.21764i | −0.184585 | + | 0.628638i | ||||
\(216\) | 2.59562 | + | 1.12372i | 0.176610 | + | 0.0764593i | ||||
\(217\) | 9.83460 | + | 1.41400i | 0.667616 | + | 0.0959887i | ||||
\(218\) | −8.87721 | + | 9.43425i | −0.601240 | + | 0.638968i | ||||
\(219\) | −2.05431 | + | 4.49832i | −0.138818 | + | 0.303968i | ||||
\(220\) | 14.1612 | + | 14.4640i | 0.954748 | + | 0.975164i | ||||
\(221\) | 19.2299 | − | 12.3583i | 1.29355 | − | 0.831311i | ||||
\(222\) | 3.82048 | + | 2.68266i | 0.256414 | + | 0.180049i | ||||
\(223\) | 11.7114 | − | 1.68384i | 0.784251 | − | 0.112758i | 0.261455 | − | 0.965216i | \(-0.415798\pi\) |
0.522796 | + | 0.852458i | \(0.324889\pi\) | |||||||
\(224\) | −13.4464 | + | 10.2614i | −0.898424 | + | 0.685616i | ||||
\(225\) | −0.593133 | − | 0.381184i | −0.0395422 | − | 0.0254122i | ||||
\(226\) | −8.72049 | − | 14.8763i | −0.580078 | − | 0.989559i | ||||
\(227\) | −0.837530 | − | 2.85237i | −0.0555888 | − | 0.189318i | 0.927018 | − | 0.375017i | \(-0.122363\pi\) |
−0.982607 | + | 0.185699i | \(0.940545\pi\) | |||||||
\(228\) | 11.1646 | + | 2.55268i | 0.739392 | + | 0.169056i | ||||
\(229\) | 5.68106 | 0.375415 | 0.187707 | − | 0.982225i | \(-0.439894\pi\) | ||||
0.187707 | + | 0.982225i | \(0.439894\pi\) | |||||||
\(230\) | 12.5365 | − | 6.35638i | 0.826632 | − | 0.419127i | ||||
\(231\) | 14.6027i | 0.960789i | ||||||||
\(232\) | 19.2731 | + | 11.8527i | 1.26534 | + | 0.778167i | ||||
\(233\) | −10.6240 | + | 3.11948i | −0.696000 | + | 0.204364i | −0.610549 | − | 0.791978i | \(-0.709051\pi\) |
−0.0854508 | + | 0.996342i | \(0.527233\pi\) | |||||||
\(234\) | −2.54422 | − | 4.34019i | −0.166321 | − | 0.283727i | ||||
\(235\) | 3.45339 | − | 5.37358i | 0.225274 | − | 0.350534i | ||||
\(236\) | −1.15184 | − | 18.9147i | −0.0749785 | − | 1.23124i | ||||
\(237\) | 0.584217 | + | 4.06332i | 0.0379489 | + | 0.263941i | ||||
\(238\) | −15.6145 | + | 22.2371i | −1.01214 | + | 1.44142i | ||||
\(239\) | −11.5420 | − | 17.9597i | −0.746589 | − | 1.16171i | −0.981827 | − | 0.189777i | \(-0.939223\pi\) |
0.235238 | − | 0.971938i | \(-0.424413\pi\) | |||||||
\(240\) | 8.22844 | − | 1.00590i | 0.531144 | − | 0.0649306i | ||||
\(241\) | −13.6907 | − | 6.25232i | −0.881894 | − | 0.402748i | −0.0776039 | − | 0.996984i | \(-0.524727\pi\) |
−0.804290 | + | 0.594237i | \(0.797454\pi\) | |||||||
\(242\) | 12.4539 | − | 13.2354i | 0.800567 | − | 0.850802i | ||||
\(243\) | 0.142315 | − | 0.989821i | 0.00912950 | − | 0.0634971i | ||||
\(244\) | 10.9174 | + | 0.896998i | 0.698916 | + | 0.0574244i | ||||
\(245\) | −3.85892 | − | 1.13308i | −0.246538 | − | 0.0723900i | ||||
\(246\) | −0.862447 | + | 4.63964i | −0.0549876 | + | 0.295813i | ||||
\(247\) | −13.3401 | − | 15.3953i | −0.848812 | − | 0.979581i | ||||
\(248\) | −9.39669 | + | 0.186386i | −0.596691 | + | 0.0118355i | ||||
\(249\) | 12.6033 | + | 10.9208i | 0.798701 | + | 0.692079i | ||||
\(250\) | −16.7066 | − | 0.685172i | −1.05662 | − | 0.0433341i | ||||
\(251\) | −15.3176 | + | 6.99529i | −0.966836 | + | 0.441539i | −0.835313 | − | 0.549774i | \(-0.814714\pi\) |
−0.131522 | + | 0.991313i | \(0.541986\pi\) | |||||||
\(252\) | 4.74921 | + | 3.63423i | 0.299172 | + | 0.228935i | ||||
\(253\) | −11.4388 | − | 20.4381i | −0.719152 | − | 1.28493i | ||||
\(254\) | 6.19513 | − | 18.2900i | 0.388717 | − | 1.14761i | ||||
\(255\) | 12.1133 | − | 5.53195i | 0.758563 | − | 0.346424i | ||||
\(256\) | 10.9799 | − | 11.6380i | 0.686243 | − | 0.727373i | ||||
\(257\) | −17.6755 | + | 20.3986i | −1.10257 | + | 1.27243i | −0.143377 | + | 0.989668i | \(0.545796\pi\) |
−0.959190 | + | 0.282762i | \(0.908749\pi\) | |||||||
\(258\) | 5.12617 | − | 4.08640i | 0.319141 | − | 0.254408i | ||||
\(259\) | 6.46360 | + | 7.45939i | 0.401628 | + | 0.463504i | ||||
\(260\) | −12.8658 | − | 7.20298i | −0.797905 | − | 0.446710i | ||||
\(261\) | 2.25373 | − | 7.67548i | 0.139502 | − | 0.475101i | ||||
\(262\) | 1.53705 | − | 0.383662i | 0.0949594 | − | 0.0237027i | ||||
\(263\) | 2.46304 | − | 17.1308i | 0.151877 | − | 1.05633i | −0.761192 | − | 0.648526i | \(-0.775386\pi\) |
0.913070 | − | 0.407804i | \(-0.133705\pi\) | |||||||
\(264\) | −2.23658 | − | 13.6309i | −0.137652 | − | 0.838926i | ||||
\(265\) | −9.97575 | + | 21.8438i | −0.612805 | + | 1.34186i | ||||
\(266\) | 21.5956 | + | 10.9532i | 1.32411 | + | 0.671586i | ||||
\(267\) | −2.29624 | − | 3.57302i | −0.140528 | − | 0.218665i | ||||
\(268\) | 15.9605 | − | 11.6865i | 0.974945 | − | 0.713868i | ||||
\(269\) | −18.0595 | + | 2.59656i | −1.10111 | + | 0.158315i | −0.668823 | − | 0.743422i | \(-0.733201\pi\) |
−0.432284 | + | 0.901737i | \(0.642292\pi\) | |||||||
\(270\) | −1.10725 | − | 2.71365i | −0.0673851 | − | 0.165147i | ||||
\(271\) | −5.77533 | + | 8.98658i | −0.350826 | + | 0.545896i | −0.971156 | − | 0.238445i | \(-0.923362\pi\) |
0.620330 | + | 0.784341i | \(0.286999\pi\) | |||||||
\(272\) | 11.1695 | − | 23.1488i | 0.677248 | − | 1.40360i | ||||
\(273\) | −2.99678 | − | 10.2061i | −0.181374 | − | 0.617701i | ||||
\(274\) | −12.2606 | + | 1.25259i | −0.740689 | + | 0.0756717i | ||||
\(275\) | 3.44330i | 0.207639i | ||||||||
\(276\) | −9.49385 | − | 1.36629i | −0.571463 | − | 0.0822410i | ||||
\(277\) | 0.513985i | 0.0308824i | 0.999881 | + | 0.0154412i | \(0.00491528\pi\) | ||||
−0.999881 | + | 0.0154412i | \(0.995085\pi\) | |||||||
\(278\) | −2.87216 | − | 28.1133i | −0.172261 | − | 1.68612i | ||||
\(279\) | 0.936165 | + | 3.18829i | 0.0560468 | + | 0.190878i | ||||
\(280\) | 17.3947 | + | 2.14982i | 1.03953 | + | 0.128476i | ||||
\(281\) | 0.0323851 | − | 0.0503922i | 0.00193193 | − | 0.00300614i | −0.840286 | − | 0.542143i | \(-0.817613\pi\) |
0.842218 | + | 0.539137i | \(0.181249\pi\) | |||||||
\(282\) | −4.03583 | + | 1.64674i | −0.240330 | + | 0.0980621i | ||||
\(283\) | 13.1287 | − | 1.88762i | 0.780419 | − | 0.112207i | 0.259420 | − | 0.965765i | \(-0.416469\pi\) |
0.520999 | + | 0.853557i | \(0.325560\pi\) | |||||||
\(284\) | −7.95690 | + | 5.82615i | −0.472155 | + | 0.345719i | ||||
\(285\) | −6.41601 | − | 9.98350i | −0.380051 | − | 0.591372i | ||||
\(286\) | −11.1138 | + | 21.9123i | −0.657174 | + | 1.29570i | ||||
\(287\) | −4.14489 | + | 9.07604i | −0.244665 | + | 0.535742i | ||||
\(288\) | −4.98978 | − | 2.66498i | −0.294026 | − | 0.157035i | ||||
\(289\) | 3.45669 | − | 24.0418i | 0.203335 | − | 1.41422i | ||||
\(290\) | −5.67797 | − | 22.7475i | −0.333422 | − | 1.33578i | ||||
\(291\) | −0.891625 | + | 3.03660i | −0.0522680 | + | 0.178008i | ||||
\(292\) | 4.83153 | − | 8.62999i | 0.282744 | − | 0.505032i | ||||
\(293\) | −4.03392 | − | 4.65539i | −0.235664 | − | 0.271971i | 0.625583 | − | 0.780158i | \(-0.284861\pi\) |
−0.861247 | + | 0.508187i | \(0.830316\pi\) | |||||||
\(294\) | 1.71075 | + | 2.14605i | 0.0997731 | + | 0.125160i | ||||
\(295\) | −12.8588 | + | 14.8398i | −0.748667 | + | 0.864008i | ||||
\(296\) | −7.17595 | − | 5.97300i | −0.417094 | − | 0.347173i | ||||
\(297\) | −4.44237 | + | 2.02876i | −0.257773 | + | 0.117721i | ||||
\(298\) | 24.3396 | + | 8.24424i | 1.40995 | + | 0.477576i | ||||
\(299\) | 12.1891 | + | 11.9371i | 0.704915 | + | 0.690339i | ||||
\(300\) | 1.11986 | + | 0.856946i | 0.0646549 | + | 0.0494758i | ||||
\(301\) | 12.6081 | − | 5.75792i | 0.726718 | − | 0.331881i | ||||
\(302\) | −1.01534 | + | 24.7572i | −0.0584263 | + | 1.42462i | ||||
\(303\) | 12.2537 | + | 10.6179i | 0.703957 | + | 0.609982i | ||||
\(304\) | −21.8361 | − | 6.91667i | −1.25239 | − | 0.396698i | ||||
\(305\) | −7.43324 | − | 8.57842i | −0.425626 | − | 0.491199i | ||||
\(306\) | −8.93420 | − | 1.66075i | −0.510734 | − | 0.0949386i | ||||
\(307\) | −6.91581 | − | 2.03067i | −0.394706 | − | 0.115896i | 0.0783555 | − | 0.996925i | \(-0.475033\pi\) |
−0.473062 | + | 0.881029i | \(0.656851\pi\) | |||||||
\(308\) | 2.39152 | − | 29.1074i | 0.136270 | − | 1.65855i | ||||
\(309\) | −0.0963660 | + | 0.670240i | −0.00548207 | + | 0.0381286i | ||||
\(310\) | 7.09264 | + | 6.67386i | 0.402835 | + | 0.379050i | ||||
\(311\) | −0.531727 | − | 0.242832i | −0.0301515 | − | 0.0137697i | 0.400282 | − | 0.916392i | \(-0.368912\pi\) |
−0.430434 | + | 0.902622i | \(0.641639\pi\) | |||||||
\(312\) | 4.36054 | + | 9.06791i | 0.246867 | + | 0.513369i | ||||
\(313\) | −12.5131 | − | 19.4707i | −0.707280 | − | 1.10055i | −0.989962 | − | 0.141336i | \(-0.954860\pi\) |
0.282681 | − | 0.959214i | \(-0.408776\pi\) | |||||||
\(314\) | 18.5002 | + | 12.9904i | 1.04402 | + | 0.733093i | ||||
\(315\) | −0.881888 | − | 6.13366i | −0.0496887 | − | 0.345593i | ||||
\(316\) | −0.499050 | − | 8.19502i | −0.0280738 | − | 0.461006i | ||||
\(317\) | −6.36368 | + | 9.90208i | −0.357420 | + | 0.556156i | −0.972675 | − | 0.232172i | \(-0.925417\pi\) |
0.615255 | + | 0.788328i | \(0.289053\pi\) | |||||||
\(318\) | 14.1371 | − | 8.28714i | 0.792768 | − | 0.464720i | ||||
\(319\) | −37.4848 | + | 11.0065i | −2.09875 | + | 0.616247i | ||||
\(320\) | −16.5664 | + | 0.657455i | −0.926087 | + | 0.0367528i | ||||
\(321\) | − | 16.0164i | − | 0.893946i | ||||||
\(322\) | −18.7758 | − | 7.66401i | −1.04634 | − | 0.427099i | ||||
\(323\) | −36.7955 | −2.04736 | ||||||||
\(324\) | −0.445779 | + | 1.94969i | −0.0247655 | + | 0.108316i | ||||
\(325\) | −0.706637 | − | 2.40658i | −0.0391971 | − | 0.133493i | ||||
\(326\) | 9.25543 | − | 5.42552i | 0.512611 | − | 0.300492i | ||||
\(327\) | −7.70585 | − | 4.95225i | −0.426135 | − | 0.273860i | ||||
\(328\) | 2.47895 | − | 9.10688i | 0.136877 | − | 0.502843i | ||||
\(329\) | −9.12220 | + | 1.31157i | −0.502923 | + | 0.0723094i | ||||
\(330\) | −8.22533 | + | 11.7140i | −0.452790 | + | 0.644834i | ||||
\(331\) | 20.8321 | − | 13.3880i | 1.14504 | − | 0.735871i | 0.176392 | − | 0.984320i | \(-0.443557\pi\) |
0.968645 | + | 0.248449i | \(0.0799209\pi\) | |||||||
\(332\) | −23.3334 | − | 23.8324i | −1.28059 | − | 1.30797i | ||||
\(333\) | −1.37127 | + | 3.00266i | −0.0751451 | + | 0.164545i | ||||
\(334\) | −11.2143 | − | 10.5522i | −0.613622 | − | 0.577391i | ||||
\(335\) | −20.2893 | − | 2.91717i | −1.10852 | − | 0.159382i | ||||
\(336\) | −8.87133 | − | 8.02184i | −0.483970 | − | 0.437627i | ||||
\(337\) | −0.618094 | + | 2.10504i | −0.0336698 | + | 0.114669i | −0.974613 | − | 0.223895i | \(-0.928123\pi\) |
0.940944 | + | 0.338563i | \(0.109941\pi\) | |||||||
\(338\) | −0.0891273 | + | 0.479472i | −0.00484788 | + | 0.0260798i | ||||
\(339\) | 9.21507 | − | 7.98490i | 0.500494 | − | 0.433680i | ||||
\(340\) | −25.0512 | + | 9.04292i | −1.35859 | + | 0.490421i | ||||
\(341\) | 10.6271 | − | 12.2643i | 0.575489 | − | 0.664149i | ||||
\(342\) | −0.331847 | + | 8.09147i | −0.0179442 | + | 0.437537i | ||||
\(343\) | −6.28437 | − | 13.7609i | −0.339324 | − | 0.743016i | ||||
\(344\) | −10.8871 | + | 7.30582i | −0.586996 | + | 0.393904i | ||||
\(345\) | 6.03901 | + | 7.89392i | 0.325129 | + | 0.424995i | ||||
\(346\) | 10.4846 | − | 30.9537i | 0.563653 | − | 1.66408i | ||||
\(347\) | −7.16172 | − | 15.6820i | −0.384461 | − | 0.841853i | −0.998612 | − | 0.0526644i | \(-0.983229\pi\) |
0.614151 | − | 0.789189i | \(-0.289499\pi\) | |||||||
\(348\) | −5.74935 | + | 14.9303i | −0.308197 | + | 0.800349i | ||||
\(349\) | 2.68934 | + | 2.33033i | 0.143957 | + | 0.124740i | 0.723863 | − | 0.689944i | \(-0.242365\pi\) |
−0.579905 | + | 0.814684i | \(0.696910\pi\) | |||||||
\(350\) | 1.85845 | + | 2.33133i | 0.0993384 | + | 0.124615i | ||||
\(351\) | 2.68851 | − | 2.32961i | 0.143502 | − | 0.124345i | ||||
\(352\) | 2.22577 | + | 27.5366i | 0.118634 | + | 1.46771i | ||||
\(353\) | −21.0951 | − | 6.19408i | −1.12278 | − | 0.329678i | −0.332913 | − | 0.942957i | \(-0.608032\pi\) |
−0.789866 | + | 0.613280i | \(0.789850\pi\) | |||||||
\(354\) | 13.0006 | − | 3.24506i | 0.690973 | − | 0.172473i | ||||
\(355\) | 10.1150 | + | 1.45431i | 0.536847 | + | 0.0771869i | ||||
\(356\) | 3.99189 | + | 7.49810i | 0.211570 | + | 0.397398i | ||||
\(357\) | −17.4770 | − | 7.98149i | −0.924982 | − | 0.422425i | ||||
\(358\) | 1.99539 | − | 3.93417i | 0.105460 | − | 0.207927i | ||||
\(359\) | 8.11644 | − | 5.21612i | 0.428369 | − | 0.275296i | −0.308640 | − | 0.951179i | \(-0.599874\pi\) |
0.737009 | + | 0.675883i | \(0.236237\pi\) | |||||||
\(360\) | 1.76264 | + | 5.59040i | 0.0928995 | + | 0.294640i | ||||
\(361\) | 1.96266 | + | 13.6506i | 0.103298 | + | 0.718454i | ||||
\(362\) | 9.30727 | + | 22.8102i | 0.489180 | + | 1.19888i | ||||
\(363\) | 10.8106 | + | 6.94755i | 0.567409 | + | 0.364652i | ||||
\(364\) | 4.30196 | + | 20.8344i | 0.225484 | + | 1.09202i | ||||
\(365\) | −9.83343 | + | 2.88736i | −0.514705 | + | 0.151131i | ||||
\(366\) | 0.787242 | + | 7.70568i | 0.0411498 | + | 0.402782i | ||||
\(367\) | 29.3831 | 1.53378 | 0.766892 | − | 0.641777i | \(-0.221802\pi\) | ||||
0.766892 | + | 0.641777i | \(0.221802\pi\) | |||||||
\(368\) | 18.7002 | + | 4.27824i | 0.974814 | + | 0.223018i | ||||
\(369\) | −3.33692 | −0.173713 | ||||||||
\(370\) | 0.983280 | + | 9.62453i | 0.0511183 | + | 0.500356i | ||||
\(371\) | 33.2438 | − | 9.76126i | 1.72593 | − | 0.506780i | ||||
\(372\) | −1.34389 | − | 6.50848i | −0.0696774 | − | 0.337449i | ||||
\(373\) | −18.2403 | − | 11.7223i | −0.944445 | − | 0.606958i | −0.0247931 | − | 0.999693i | \(-0.507893\pi\) |
−0.919652 | + | 0.392735i | \(0.871529\pi\) | |||||||
\(374\) | 16.7662 | + | 41.0905i | 0.866959 | + | 2.12474i | ||||
\(375\) | −1.68263 | − | 11.7030i | −0.0868907 | − | 0.604338i | ||||
\(376\) | 8.31424 | − | 2.62147i | 0.428774 | − | 0.135192i | ||||
\(377\) | 23.9400 | − | 15.3853i | 1.23297 | − | 0.792384i | ||||
\(378\) | −1.91278 | + | 3.77128i | −0.0983828 | + | 0.193974i | ||||
\(379\) | 12.3465 | + | 5.63848i | 0.634199 | + | 0.289629i | 0.706456 | − | 0.707757i | \(-0.250293\pi\) |
−0.0722568 | + | 0.997386i | \(0.523020\pi\) | |||||||
\(380\) | 11.1539 | + | 20.9507i | 0.572183 | + | 1.07475i | ||||
\(381\) | 13.5157 | + | 1.94327i | 0.692432 | + | 0.0995566i | ||||
\(382\) | 8.52089 | − | 2.12689i | 0.435967 | − | 0.108821i | ||||
\(383\) | 15.9022 | + | 4.66931i | 0.812564 | + | 0.238590i | 0.661511 | − | 0.749935i | \(-0.269915\pi\) |
0.151053 | + | 0.988526i | \(0.451734\pi\) | |||||||
\(384\) | 9.50959 | + | 6.12925i | 0.485284 | + | 0.312782i | ||||
\(385\) | −22.8713 | + | 19.8181i | −1.16563 | + | 1.01002i | ||||
\(386\) | 6.09577 | + | 7.64682i | 0.310267 | + | 0.389213i | ||||
\(387\) | 3.50330 | + | 3.03563i | 0.178083 | + | 0.154310i | ||||
\(388\) | 2.27457 | − | 5.90677i | 0.115474 | − | 0.299871i | ||||
\(389\) | −2.41460 | − | 5.28723i | −0.122425 | − | 0.268073i | 0.838490 | − | 0.544917i | \(-0.183439\pi\) |
−0.960915 | + | 0.276844i | \(0.910712\pi\) | |||||||
\(390\) | 3.34488 | − | 9.87512i | 0.169374 | − | 0.500046i | ||||
\(391\) | 30.7132 | − | 2.51938i | 1.55323 | − | 0.127410i | ||||
\(392\) | −3.05855 | − | 4.55786i | −0.154480 | − | 0.230206i | ||||
\(393\) | 0.465351 | + | 1.01898i | 0.0234738 | + | 0.0514005i | ||||
\(394\) | 0.226639 | − | 5.52617i | 0.0114179 | − | 0.278405i | ||||
\(395\) | −5.57123 | + | 6.42954i | −0.280319 | + | 0.323506i | ||||
\(396\) | 9.18717 | − | 3.31636i | 0.461673 | − | 0.166654i | ||||
\(397\) | −10.6291 | + | 9.21019i | −0.533461 | + | 0.462246i | −0.879449 | − | 0.475992i | \(-0.842089\pi\) |
0.345989 | + | 0.938239i | \(0.387543\pi\) | |||||||
\(398\) | 2.47149 | − | 13.2957i | 0.123884 | − | 0.666453i | ||||
\(399\) | −4.82391 | + | 16.4287i | −0.241497 | + | 0.822464i | ||||
\(400\) | −2.09184 | − | 1.89154i | −0.104592 | − | 0.0945769i | ||||
\(401\) | 29.0230 | + | 4.17287i | 1.44934 | + | 0.208383i | 0.821610 | − | 0.570050i | \(-0.193076\pi\) |
0.627728 | + | 0.778433i | \(0.283985\pi\) | |||||||
\(402\) | 10.1870 | + | 9.58550i | 0.508081 | + | 0.478082i | ||||
\(403\) | −4.91056 | + | 10.7526i | −0.244613 | + | 0.535627i | ||||
\(404\) | −22.6862 | − | 23.1713i | −1.12868 | − | 1.15281i | ||||
\(405\) | 1.74343 | − | 1.12044i | 0.0866319 | − | 0.0556750i | ||||
\(406\) | −19.4390 | + | 27.6838i | −0.964741 | + | 1.37392i | ||||
\(407\) | 15.9569 | − | 2.29425i | 0.790952 | − | 0.113722i | ||||
\(408\) | 17.5364 | + | 4.77351i | 0.868182 | + | 0.236324i | ||||
\(409\) | 14.3685 | + | 9.23409i | 0.710478 | + | 0.456596i | 0.845313 | − | 0.534272i | \(-0.179414\pi\) |
−0.134835 | + | 0.990868i | \(0.543050\pi\) | |||||||
\(410\) | −8.43724 | + | 4.94590i | −0.416685 | + | 0.244260i | ||||
\(411\) | −2.45521 | − | 8.36166i | −0.121106 | − | 0.412451i | ||||
\(412\) | 0.301852 | − | 1.32020i | 0.0148712 | − | 0.0650414i | ||||
\(413\) | 28.3307 | 1.39406 | ||||||||
\(414\) | −0.277027 | − | 6.77667i | −0.0136152 | − | 0.333055i | ||||
\(415\) | 34.5609i | 1.69653i | ||||||||
\(416\) | −7.20672 | − | 18.7890i | −0.353338 | − | 0.921209i | ||||
\(417\) | 19.1731 | − | 5.62974i | 0.938912 | − | 0.275689i | ||||
\(418\) | 34.1195 | − | 20.0008i | 1.66884 | − | 0.978270i | ||||
\(419\) | −10.0600 | + | 15.6537i | −0.491463 | + | 0.764732i | −0.995067 | − | 0.0992027i | \(-0.968371\pi\) |
0.503604 | + | 0.863935i | \(0.332007\pi\) | |||||||
\(420\) | 0.753327 | + | 12.3706i | 0.0367586 | + | 0.603621i | ||||
\(421\) | −4.44754 | − | 30.9333i | −0.216760 | − | 1.50760i | −0.749888 | − | 0.661564i | \(-0.769893\pi\) |
0.533128 | − | 0.846034i | \(-0.321016\pi\) | |||||||
\(422\) | −0.982746 | − | 0.690064i | −0.0478393 | − | 0.0335918i | ||||
\(423\) | −1.66635 | − | 2.59290i | −0.0810209 | − | 0.126071i | ||||
\(424\) | −29.5364 | + | 14.2034i | −1.43442 | + | 0.689776i | ||||
\(425\) | −4.12106 | − | 1.88202i | −0.199901 | − | 0.0912915i | ||||
\(426\) | −5.07858 | − | 4.77872i | −0.246058 | − | 0.231530i | ||||
\(427\) | −2.33069 | + | 16.2103i | −0.112790 | + | 0.784473i | ||||
\(428\) | −2.62304 | + | 31.9252i | −0.126789 | + | 1.54316i | ||||
\(429\) | −16.6696 | − | 4.89463i | −0.804816 | − | 0.236315i | ||||
\(430\) | 13.3572 | + | 2.48293i | 0.644143 | + | 0.119737i | ||||
\(431\) | 23.5220 | + | 27.1459i | 1.13302 | + | 1.30757i | 0.945615 | + | 0.325288i | \(0.105461\pi\) |
0.187402 | + | 0.982283i | \(0.439993\pi\) | |||||||
\(432\) | 1.20787 | − | 3.81327i | 0.0581136 | − | 0.183466i | ||||
\(433\) | −14.1524 | − | 12.2631i | −0.680120 | − | 0.589327i | 0.244761 | − | 0.969583i | \(-0.421290\pi\) |
−0.924881 | + | 0.380256i | \(0.875836\pi\) | |||||||
\(434\) | 0.575785 | − | 14.0394i | 0.0276386 | − | 0.673915i | ||||
\(435\) | 15.0802 | − | 6.88692i | 0.723042 | − | 0.330202i | ||||
\(436\) | 14.5489 | + | 11.1332i | 0.696766 | + | 0.533186i | ||||
\(437\) | −6.11759 | − | 26.7725i | −0.292644 | − | 1.28070i | ||||
\(438\) | 6.62392 | + | 2.24364i | 0.316503 | + | 0.107205i | ||||
\(439\) | −1.29769 | + | 0.592635i | −0.0619354 | + | 0.0282849i | −0.446142 | − | 0.894962i | \(-0.647202\pi\) |
0.384207 | + | 0.923247i | \(0.374475\pi\) | |||||||
\(440\) | 18.3138 | − | 22.0022i | 0.873078 | − | 1.04891i | ||||
\(441\) | −1.27085 | + | 1.46664i | −0.0605167 | + | 0.0698400i | ||||
\(442\) | −20.1508 | − | 25.2781i | −0.958476 | − | 1.20236i | ||||
\(443\) | 11.2119 | + | 12.9392i | 0.532694 | + | 0.614762i | 0.956763 | − | 0.290868i | \(-0.0939441\pi\) |
−0.424069 | + | 0.905630i | \(0.639399\pi\) | |||||||
\(444\) | 3.22508 | − | 5.76058i | 0.153056 | − | 0.273385i | ||||
\(445\) | 2.47984 | − | 8.44556i | 0.117556 | − | 0.400358i | ||||
\(446\) | −4.05229 | − | 16.2346i | −0.191882 | − | 0.768730i | ||||
\(447\) | −2.58603 | + | 17.9862i | −0.122315 | + | 0.850719i | ||||
\(448\) | 16.3693 | + | 17.4427i | 0.773377 | + | 0.824089i | ||||
\(449\) | −5.80071 | + | 12.7018i | −0.273752 | + | 0.599434i | −0.995713 | − | 0.0925004i | \(-0.970514\pi\) |
0.721960 | + | 0.691935i | \(0.243241\pi\) | |||||||
\(450\) | −0.451030 | + | 0.889262i | −0.0212618 | + | 0.0419202i | ||||
\(451\) | 8.81058 | + | 13.7095i | 0.414874 | + | 0.645557i | ||||
\(452\) | −19.6759 | + | 14.4070i | −0.925479 | + | 0.677648i | ||||
\(453\) | −17.3423 | + | 2.49345i | −0.814814 | + | 0.117153i | ||||
\(454\) | −3.89259 | + | 1.58829i | −0.182688 | + | 0.0745423i | ||||
\(455\) | 11.9181 | − | 18.5449i | 0.558727 | − | 0.869397i | ||||
\(456\) | 1.98663 | − | 16.0742i | 0.0930322 | − | 0.752746i | ||||
\(457\) | −6.80609 | − | 23.1794i | −0.318376 | − | 1.08429i | −0.950836 | − | 0.309695i | \(-0.899773\pi\) |
0.632460 | − | 0.774593i | \(-0.282045\pi\) | |||||||
\(458\) | −0.816558 | − | 7.99263i | −0.0381552 | − | 0.373471i | ||||
\(459\) | − | 6.42565i | − | 0.299924i | ||||||
\(460\) | −10.7446 | − | 16.7239i | −0.500972 | − | 0.779754i | ||||
\(461\) | 3.93439i | 0.183243i | 0.995794 | + | 0.0916215i | \(0.0292050\pi\) | ||||
−0.995794 | + | 0.0916215i | \(0.970795\pi\) | |||||||
\(462\) | 20.5444 | − | 2.09890i | 0.955813 | − | 0.0976496i | ||||
\(463\) | 10.1174 | + | 34.4566i | 0.470193 | + | 1.60133i | 0.763832 | + | 0.645415i | \(0.223316\pi\) |
−0.293638 | + | 0.955917i | \(0.594866\pi\) | |||||||
\(464\) | 13.9053 | − | 28.8188i | 0.645535 | − | 1.33788i | ||||
\(465\) | −3.72309 | + | 5.79323i | −0.172654 | + | 0.268655i | ||||
\(466\) | 5.91579 | + | 14.4984i | 0.274044 | + | 0.671625i | ||||
\(467\) | 5.65761 | − | 0.813442i | 0.261803 | − | 0.0376416i | −0.0101634 | − | 0.999948i | \(-0.503235\pi\) |
0.271966 | + | 0.962307i | \(0.412326\pi\) | |||||||
\(468\) | −5.74049 | + | 4.20326i | −0.265354 | + | 0.194296i | ||||
\(469\) | 15.9892 | + | 24.8796i | 0.738311 | + | 1.14883i | ||||
\(470\) | −8.05641 | − | 4.08618i | −0.371614 | − | 0.188481i | ||||
\(471\) | −6.64019 | + | 14.5400i | −0.305964 | + | 0.669968i | ||||
\(472\) | −26.4453 | + | 4.33918i | −1.21724 | + | 0.199727i | ||||
\(473\) | 3.22180 | − | 22.4081i | 0.148139 | − | 1.03033i | ||||
\(474\) | 5.63267 | − | 1.40596i | 0.258717 | − | 0.0645780i | ||||
\(475\) | −1.13747 | + | 3.87387i | −0.0521907 | + | 0.177745i | ||||
\(476\) | 33.5295 | + | 18.7716i | 1.53682 | + | 0.860396i | ||||
\(477\) | 7.58811 | + | 8.75714i | 0.347436 | + | 0.400962i | ||||
\(478\) | −23.6083 | + | 18.8197i | −1.07982 | + | 0.860794i | ||||
\(479\) | −16.4977 | + | 19.0394i | −0.753800 | + | 0.869931i | −0.994931 | − | 0.100561i | \(-0.967936\pi\) |
0.241131 | + | 0.970493i | \(0.422482\pi\) | |||||||
\(480\) | −2.59789 | − | 11.4319i | −0.118577 | − | 0.521794i | ||||
\(481\) | −10.6817 | + | 4.87817i | −0.487044 | + | 0.222425i | ||||
\(482\) | −6.82853 | + | 20.1600i | −0.311031 | + | 0.918261i | ||||
\(483\) | 2.90164 | − | 14.0433i | 0.132029 | − | 0.638994i | ||||
\(484\) | −20.4108 | − | 15.6189i | −0.927762 | − | 0.709950i | ||||
\(485\) | −5.96609 | + | 2.72462i | −0.270906 | + | 0.123719i | ||||
\(486\) | −1.41303 | − | 0.0579510i | −0.0640961 | − | 0.00262871i | ||||
\(487\) | 30.6602 | + | 26.5672i | 1.38934 | + | 1.20387i | 0.952576 | + | 0.304300i | \(0.0984226\pi\) |
0.436769 | + | 0.899574i | \(0.356123\pi\) | |||||||
\(488\) | −0.307219 | − | 15.4885i | −0.0139072 | − | 0.701133i | ||||
\(489\) | 4.96787 | + | 5.73323i | 0.224655 | + | 0.259266i | ||||
\(490\) | −1.03947 | + | 5.59195i | −0.0469583 | + | 0.252618i | ||||
\(491\) | −10.2830 | − | 3.01937i | −0.464066 | − | 0.136262i | 0.0413374 | − | 0.999145i | \(-0.486838\pi\) |
−0.505403 | + | 0.862883i | \(0.668656\pi\) | |||||||
\(492\) | 6.65143 | + | 0.546496i | 0.299870 | + | 0.0246379i | ||||
\(493\) | 7.31529 | − | 50.8790i | 0.329464 | − | 2.29147i | ||||
\(494\) | −19.7421 | + | 20.9809i | −0.888240 | + | 0.943976i | ||||
\(495\) | −9.20648 | − | 4.20446i | −0.413801 | − | 0.188976i | ||||
\(496\) | 1.61284 | + | 13.1933i | 0.0724188 | + | 0.592398i | ||||
\(497\) | −7.97117 | − | 12.4034i | −0.357556 | − | 0.556368i | ||||
\(498\) | 13.5529 | − | 19.3011i | 0.607319 | − | 0.864905i | ||||
\(499\) | −2.84653 | − | 19.7980i | −0.127428 | − | 0.886282i | −0.948797 | − | 0.315885i | \(-0.897699\pi\) |
0.821369 | − | 0.570397i | \(-0.193211\pi\) | |||||||
\(500\) | 1.43734 | + | 23.6029i | 0.0642798 | + | 1.05555i | ||||
\(501\) | 5.88667 | − | 9.15983i | 0.262997 | − | 0.409231i | ||||
\(502\) | 12.0433 | + | 20.5447i | 0.537517 | + | 0.916953i | ||||
\(503\) | −22.6118 | + | 6.63944i | −1.00821 | + | 0.296038i | −0.743822 | − | 0.668378i | \(-0.766989\pi\) |
−0.264390 | + | 0.964416i | \(0.585171\pi\) | |||||||
\(504\) | 4.43034 | − | 7.20397i | 0.197343 | − | 0.320890i | ||||
\(505\) | 33.6022i | 1.49528i | ||||||||
\(506\) | −27.1101 | + | 19.0308i | −1.20519 | + | 0.846022i | ||||
\(507\) | −0.344845 | −0.0153151 | ||||||||
\(508\) | −26.6224 | − | 6.08699i | −1.18118 | − | 0.270066i | ||||
\(509\) | 5.61620 | + | 19.1270i | 0.248934 | + | 0.847790i | 0.985245 | + | 0.171148i | \(0.0547475\pi\) |
−0.736312 | + | 0.676642i | \(0.763434\pi\) | |||||||
\(510\) | −9.52393 | − | 16.2469i | −0.421727 | − | 0.719426i | ||||
\(511\) | 12.4393 | + | 7.99425i | 0.550282 | + | 0.353645i | ||||
\(512\) | −17.9515 | − | 13.7747i | −0.793352 | − | 0.608763i | ||||
\(513\) | −5.66806 | + | 0.814944i | −0.250251 | + | 0.0359806i | ||||
\(514\) | 31.2392 | + | 21.9355i | 1.37790 | + | 0.967534i | ||||
\(515\) | −1.18054 | + | 0.758684i | −0.0520206 | + | 0.0334316i | ||||
\(516\) | −6.48592 | − | 6.62461i | −0.285527 | − | 0.291632i | ||||
\(517\) | −6.25302 | + | 13.6922i | −0.275008 | + | 0.602183i | ||||
\(518\) | 9.56551 | − | 10.1657i | 0.420284 | − | 0.446657i | ||||
\(519\) | 22.8739 | + | 3.28876i | 1.00405 | + | 0.144361i | ||||
\(520\) | −8.28456 | + | 19.1361i | −0.363302 | + | 0.839175i | ||||
\(521\) | 7.22525 | − | 24.6069i | 0.316544 | − | 1.07805i | −0.635503 | − | 0.772098i | \(-0.719207\pi\) |
0.952047 | − | 0.305952i | \(-0.0989746\pi\) | |||||||
\(522\) | −11.1225 | − | 2.06752i | −0.486819 | − | 0.0904930i | ||||
\(523\) | 24.1952 | − | 20.9652i | 1.05798 | − | 0.916745i | 0.0612967 | − | 0.998120i | \(-0.480476\pi\) |
0.996684 | + | 0.0813744i | \(0.0259309\pi\) | |||||||
\(524\) | −0.760696 | − | 2.10732i | −0.0332311 | − | 0.0920587i | ||||
\(525\) | −1.38057 | + | 1.59326i | −0.0602531 | + | 0.0695357i | ||||
\(526\) | −24.4552 | − | 1.00296i | −1.06630 | − | 0.0437309i | ||||
\(527\) | 8.86983 | + | 19.4222i | 0.386376 | + | 0.846045i | ||||
\(528\) | −18.8558 | + | 5.10585i | −0.820591 | + | 0.222204i | ||||
\(529\) | 6.93945 | + | 21.9282i | 0.301715 | + | 0.953398i | ||||
\(530\) | 32.1657 | + | 10.8951i | 1.39719 | + | 0.473253i | ||||
\(531\) | 3.93599 | + | 8.61863i | 0.170808 | + | 0.374017i | ||||
\(532\) | 12.3060 | − | 31.9571i | 0.533532 | − | 1.38551i | ||||
\(533\) | −8.97135 | − | 7.77372i | −0.388592 | − | 0.336717i | ||||
\(534\) | −4.69680 | + | 3.74412i | −0.203250 | + | 0.162024i | ||||
\(535\) | 25.0854 | − | 21.7366i | 1.08454 | − | 0.939755i | ||||
\(536\) | −18.7357 | − | 20.7750i | −0.809259 | − | 0.897342i | ||||
\(537\) | 2.99289 | + | 0.878791i | 0.129153 | + | 0.0379226i | ||||
\(538\) | 6.24883 | + | 25.0345i | 0.269406 | + | 1.07932i | ||||
\(539\) | 9.38106 | + | 1.34879i | 0.404071 | + | 0.0580966i | ||||
\(540\) | −3.65865 | + | 1.94782i | −0.157443 | + | 0.0838209i | ||||
\(541\) | 8.58717 | + | 3.92163i | 0.369191 | + | 0.168604i | 0.591367 | − | 0.806403i | \(-0.298589\pi\) |
−0.222176 | + | 0.975007i | \(0.571316\pi\) | |||||||
\(542\) | 13.4732 | + | 6.83358i | 0.578725 | + | 0.293527i | ||||
\(543\) | −14.6549 | + | 9.41812i | −0.628901 | + | 0.404170i | ||||
\(544\) | −34.1733 | − | 12.3869i | −1.46517 | − | 0.531086i | ||||
\(545\) | −2.70161 | − | 18.7901i | −0.115724 | − | 0.804880i | ||||
\(546\) | −13.9281 | + | 5.68310i | −0.596069 | + | 0.243214i | ||||
\(547\) | −25.4139 | − | 16.3325i | −1.08662 | − | 0.698327i | −0.130541 | − | 0.991443i | \(-0.541672\pi\) |
−0.956077 | + | 0.293116i | \(0.905308\pi\) | |||||||
\(548\) | 3.52451 | + | 17.0693i | 0.150560 | + | 0.729163i | ||||
\(549\) | −5.25524 | + | 1.54308i | −0.224288 | + | 0.0658569i | ||||
\(550\) | 4.84435 | − | 0.494917i | 0.206564 | − | 0.0211033i | ||||
\(551\) | −45.8080 | −1.95149 | ||||||||
\(552\) | −0.557637 | + | 13.5532i | −0.0237346 | + | 0.576862i | ||||
\(553\) | 12.2746 | 0.521970 | ||||||||
\(554\) | 0.723121 | − | 0.0738769i | 0.0307225 | − | 0.00313873i | ||||
\(555\) | −6.56389 | + | 1.92733i | −0.278622 | + | 0.0818107i | ||||
\(556\) | −39.1395 | + | 8.08163i | −1.65988 | + | 0.342738i | ||||
\(557\) | 6.46229 | + | 4.15306i | 0.273816 | + | 0.175971i | 0.670341 | − | 0.742053i | \(-0.266148\pi\) |
−0.396525 | + | 0.918024i | \(0.629784\pi\) | |||||||
\(558\) | 4.35101 | − | 1.77535i | 0.184193 | − | 0.0751564i | ||||
\(559\) | 2.34684 | + | 16.3226i | 0.0992607 | + | 0.690373i | ||||
\(560\) | 0.524362 | − | 24.7814i | 0.0221583 | − | 1.04721i | ||||
\(561\) | −26.3994 | + | 16.9659i | −1.11458 | + | 0.716299i | ||||
\(562\) | −0.0755511 | − | 0.0383192i | −0.00318693 | − | 0.00161640i | ||||
\(563\) | −22.3511 | − | 10.2074i | −0.941985 | − | 0.430190i | −0.115600 | − | 0.993296i | \(-0.536879\pi\) |
−0.826385 | + | 0.563106i | \(0.809606\pi\) | |||||||
\(564\) | 2.89687 | + | 5.44128i | 0.121980 | + | 0.229119i | ||||
\(565\) | 25.0124 | + | 3.59625i | 1.05228 | + | 0.151295i | ||||
\(566\) | −4.54270 | − | 18.1993i | −0.190944 | − | 0.764973i | ||||
\(567\) | −2.86897 | − | 0.842406i | −0.120485 | − | 0.0353777i | ||||
\(568\) | 9.34043 | + | 10.3571i | 0.391916 | + | 0.434573i | ||||
\(569\) | −4.68830 | + | 4.06243i | −0.196544 | + | 0.170306i | −0.747573 | − | 0.664180i | \(-0.768781\pi\) |
0.551029 | + | 0.834486i | \(0.314235\pi\) | |||||||
\(570\) | −13.1235 | + | 10.4616i | −0.549683 | + | 0.438187i | ||||
\(571\) | −5.16009 | − | 4.47125i | −0.215943 | − | 0.187116i | 0.540171 | − | 0.841555i | \(-0.318359\pi\) |
−0.756115 | + | 0.654439i | \(0.772905\pi\) | |||||||
\(572\) | 32.4256 | + | 12.4864i | 1.35578 | + | 0.522083i | ||||
\(573\) | 2.57974 | + | 5.64885i | 0.107770 | + | 0.235984i | ||||
\(574\) | 13.3648 | + | 4.52687i | 0.557834 | + | 0.188948i | ||||
\(575\) | 0.684203 | − | 3.31140i | 0.0285333 | − | 0.138095i | ||||
\(576\) | −3.03213 | + | 7.40312i | −0.126339 | + | 0.308463i | ||||
\(577\) | −9.10450 | − | 19.9361i | −0.379025 | − | 0.829950i | −0.998973 | − | 0.0453068i | \(-0.985573\pi\) |
0.619948 | − | 0.784643i | \(-0.287154\pi\) | |||||||
\(578\) | −34.3210 | − | 1.40757i | −1.42757 | − | 0.0585473i | ||||
\(579\) | −4.52831 | + | 5.22595i | −0.188190 | + | 0.217183i | ||||
\(580\) | −31.1871 | + | 11.2578i | −1.29497 | + | 0.467457i | ||||
\(581\) | 37.6850 | − | 32.6542i | 1.56344 | − | 1.35473i | ||||
\(582\) | 4.40031 | + | 0.817958i | 0.182399 | + | 0.0339055i | ||||
\(583\) | 15.9430 | − | 54.2970i | 0.660293 | − | 2.24875i | ||||
\(584\) | −12.8359 | − | 5.55702i | −0.531153 | − | 0.229951i | ||||
\(585\) | 7.29742 | + | 1.04921i | 0.301711 | + | 0.0433795i | ||||
\(586\) | −5.96981 | + | 6.34441i | −0.246611 | + | 0.262085i | ||||
\(587\) | 6.94124 | − | 15.1992i | 0.286496 | − | 0.627338i | −0.710592 | − | 0.703605i | \(-0.751573\pi\) |
0.997087 | + | 0.0762665i | \(0.0243000\pi\) | |||||||
\(588\) | 2.77336 | − | 2.71530i | 0.114372 | − | 0.111977i | ||||
\(589\) | 16.0074 | − | 10.2873i | 0.659572 | − | 0.423881i | ||||
\(590\) | 22.7262 | + | 15.9579i | 0.935625 | + | 0.656977i | ||||
\(591\) | 3.87107 | − | 0.556576i | 0.159235 | − | 0.0228945i | ||||
\(592\) | −7.37193 | + | 10.9543i | −0.302984 | + | 0.450219i | ||||
\(593\) | 32.3113 | + | 20.7652i | 1.32687 | + | 0.852725i | 0.995860 | − | 0.0909031i | \(-0.0289754\pi\) |
0.331007 | + | 0.943628i | \(0.392612\pi\) | |||||||
\(594\) | 3.49277 | + | 5.95833i | 0.143310 | + | 0.244473i | ||||
\(595\) | −11.2181 | − | 38.2052i | −0.459895 | − | 1.56626i | ||||
\(596\) | 8.10033 | − | 35.4281i | 0.331803 | − | 1.45119i | ||||
\(597\) | 9.56252 | 0.391368 | ||||||||
\(598\) | 15.0422 | − | 18.8645i | 0.615121 | − | 0.771427i | ||||
\(599\) | − | 33.6028i | − | 1.37297i | −0.727143 | − | 0.686486i | \(-0.759152\pi\) | ||
0.727143 | − | 0.686486i | \(-0.240848\pi\) | |||||||
\(600\) | 1.04467 | − | 1.69869i | 0.0426484 | − | 0.0693485i | ||||
\(601\) | 34.9519 | − | 10.2628i | 1.42572 | − | 0.418629i | 0.524284 | − | 0.851543i | \(-0.324333\pi\) |
0.901435 | + | 0.432915i | \(0.142515\pi\) | |||||||
\(602\) | −9.91297 | − | 16.9106i | −0.404023 | − | 0.689225i | ||||
\(603\) | −5.34738 | + | 8.32069i | −0.217762 | + | 0.338845i | ||||
\(604\) | 34.9766 | − | 2.12996i | 1.42318 | − | 0.0866669i | ||||
\(605\) | 3.79011 | + | 26.3608i | 0.154090 | + | 1.07172i | ||||
\(606\) | 13.1769 | − | 18.7658i | 0.535277 | − | 0.762307i | ||||
\(607\) | −7.84439 | − | 12.2061i | −0.318394 | − | 0.495430i | 0.644759 | − | 0.764386i | \(-0.276958\pi\) |
−0.963153 | + | 0.268956i | \(0.913321\pi\) | |||||||
\(608\) | −6.59242 | + | 31.7152i | −0.267358 | + | 1.28622i | ||||
\(609\) | −21.7578 | − | 9.93643i | −0.881669 | − | 0.402645i | ||||
\(610\) | −11.0005 | + | 11.6908i | −0.445397 | + | 0.473345i | ||||
\(611\) | 1.56042 | − | 10.8530i | 0.0631279 | − | 0.439064i | ||||
\(612\) | −1.05234 | + | 12.8081i | −0.0425385 | + | 0.517739i | ||||
\(613\) | −34.4285 | − | 10.1091i | −1.39055 | − | 0.408304i | −0.501125 | − | 0.865375i | \(-0.667080\pi\) |
−0.889430 | + | 0.457071i | \(0.848898\pi\) | |||||||
\(614\) | −1.86289 | + | 10.0217i | −0.0751801 | + | 0.404441i | ||||
\(615\) | −4.52870 | − | 5.22640i | −0.182615 | − | 0.210749i | ||||
\(616\) | −41.2946 | + | 0.819090i | −1.66381 | + | 0.0330021i | ||||
\(617\) | 10.4470 | + | 9.05242i | 0.420582 | + | 0.364437i | 0.839290 | − | 0.543685i | \(-0.182971\pi\) |
−0.418707 | + | 0.908121i | \(0.637517\pi\) | |||||||
\(618\) | 0.956805 | + | 0.0392405i | 0.0384884 | + | 0.00157848i | ||||
\(619\) | −9.87571 | + | 4.51009i | −0.396938 | + | 0.181276i | −0.603876 | − | 0.797079i | \(-0.706378\pi\) |
0.206937 | + | 0.978354i | \(0.433650\pi\) | |||||||
\(620\) | 8.36994 | − | 10.9378i | 0.336145 | − | 0.439273i | ||||
\(621\) | 4.67533 | − | 1.06832i | 0.187614 | − | 0.0428703i | ||||
\(622\) | −0.265211 | + | 0.782985i | −0.0106340 | + | 0.0313948i | ||||
\(623\) | −11.5520 | + | 5.27564i | −0.462822 | + | 0.211364i | ||||
\(624\) | 12.1308 | − | 7.43816i | 0.485621 | − | 0.297765i | ||||
\(625\) | 13.7374 | − | 15.8538i | 0.549496 | − | 0.634152i | ||||
\(626\) | −25.5946 | + | 20.4031i | −1.02297 | + | 0.815472i | ||||
\(627\) | 18.3137 | + | 21.1351i | 0.731378 | + | 0.844055i | ||||
\(628\) | 15.6170 | − | 27.8949i | 0.623188 | − | 1.11313i | ||||
\(629\) | −5.97579 | + | 20.3517i | −0.238270 | + | 0.811474i | ||||
\(630\) | −8.50263 | + | 2.12233i | −0.338753 | + | 0.0845557i | ||||
\(631\) | −4.38064 | + | 30.4680i | −0.174391 | + | 1.21291i | 0.695082 | + | 0.718931i | \(0.255368\pi\) |
−0.869472 | + | 0.493982i | \(0.835541\pi\) | |||||||
\(632\) | −11.4578 | + | 1.88001i | −0.455765 | + | 0.0747827i | ||||
\(633\) | 0.352733 | − | 0.772378i | 0.0140199 | − | 0.0306993i | ||||
\(634\) | 14.8458 | + | 7.52974i | 0.589603 | + | 0.299044i | ||||
\(635\) | 15.2992 | + | 23.8061i | 0.607132 | + | 0.944716i | ||||
\(636\) | −13.6911 | − | 18.6982i | −0.542886 | − | 0.741432i | ||||
\(637\) | −6.83339 | + | 0.982494i | −0.270749 | + | 0.0389278i | ||||
\(638\) | 20.8728 | + | 51.1550i | 0.826362 | + | 2.02525i | ||||
\(639\) | 2.66586 | − | 4.14816i | 0.105460 | − | 0.164099i | ||||
\(640\) | 3.30610 | + | 23.2125i | 0.130685 | + | 0.917556i | ||||
\(641\) | −8.58253 | − | 29.2294i | −0.338990 | − | 1.15449i | −0.935924 | − | 0.352203i | \(-0.885433\pi\) |
0.596934 | − | 0.802290i | \(-0.296385\pi\) | |||||||
\(642\) | −22.5333 | + | 2.30209i | −0.889317 | + | 0.0908561i | ||||
\(643\) | − | 13.7022i | − | 0.540363i | −0.962809 | − | 0.270182i | \(-0.912916\pi\) | ||
0.962809 | − | 0.270182i | \(-0.0870838\pi\) | |||||||
\(644\) | −8.08371 | + | 27.5171i | −0.318543 | + | 1.08433i | ||||
\(645\) | 9.60678i | 0.378267i | ||||||||
\(646\) | 5.28874 | + | 51.7672i | 0.208083 | + | 2.03675i | ||||
\(647\) | −7.69936 | − | 26.2216i | −0.302693 | − | 1.03088i | −0.960636 | − | 0.277810i | \(-0.910391\pi\) |
0.657943 | − | 0.753068i | \(-0.271427\pi\) | |||||||
\(648\) | 2.80707 | + | 0.346927i | 0.110272 | + | 0.0136286i | ||||
\(649\) | 25.0167 | − | 38.9268i | 0.981993 | − | 1.52801i | ||||
\(650\) | −3.28423 | + | 1.34007i | −0.128818 | + | 0.0525617i | ||||
\(651\) | 9.83460 | − | 1.41400i | 0.385448 | − | 0.0554191i | ||||
\(652\) | −8.96343 | − | 12.2415i | −0.351035 | − | 0.479416i | ||||
\(653\) | −26.9638 | − | 41.9565i | −1.05518 | − | 1.64189i | −0.711328 | − | 0.702861i | \(-0.751906\pi\) |
−0.343848 | − | 0.939025i | \(-0.611731\pi\) | |||||||
\(654\) | −5.85969 | + | 11.5531i | −0.229132 | + | 0.451762i | ||||
\(655\) | −0.964404 | + | 2.11175i | −0.0376824 | + | 0.0825129i | ||||
\(656\) | −13.1687 | − | 2.17864i | −0.514151 | − | 0.0850617i | ||||
\(657\) | −0.703777 | + | 4.89487i | −0.0274569 | + | 0.190967i | ||||
\(658\) | 3.15641 | + | 12.6454i | 0.123049 | + | 0.492970i | ||||
\(659\) | −2.25047 | + | 7.66439i | −0.0876658 | + | 0.298562i | −0.991642 | − | 0.129021i | \(-0.958817\pi\) |
0.903976 | + | 0.427583i | \(0.140635\pi\) | |||||||
\(660\) | 17.6626 | + | 9.88845i | 0.687514 | + | 0.384907i | ||||
\(661\) | 28.5931 | + | 32.9981i | 1.11214 | + | 1.28348i | 0.955229 | + | 0.295866i | \(0.0956083\pi\) |
0.156912 | + | 0.987613i | \(0.449846\pi\) | |||||||
\(662\) | −21.8297 | − | 27.3842i | −0.848436 | − | 1.06432i | ||||
\(663\) | 14.9692 | − | 17.2754i | 0.581357 | − | 0.670922i | ||||
\(664\) | −30.1757 | + | 36.2531i | −1.17104 | + | 1.40689i | ||||
\(665\) | −32.2780 | + | 14.7409i | −1.25169 | + | 0.571626i | ||||
\(666\) | 4.42152 | + | 1.49764i | 0.171330 | + | 0.0580325i | ||||
\(667\) | 38.2359 | − | 3.13646i | 1.48050 | − | 0.121444i | ||||
\(668\) | −13.2339 | + | 17.2941i | −0.512036 | + | 0.669127i | ||||
\(669\) | 10.7626 | − | 4.91511i | 0.416105 | − | 0.190029i | ||||
\(670\) | −1.18788 | + | 28.9642i | −0.0458917 | + | 1.11898i | ||||
\(671\) | 20.2152 | + | 17.5166i | 0.780399 | + | 0.676220i | ||||
\(672\) | −10.0107 | + | 13.6340i | −0.386173 | + | 0.525943i | ||||
\(673\) | 8.85444 | + | 10.2186i | 0.341314 | + | 0.393897i | 0.900293 | − | 0.435285i | \(-0.143352\pi\) |
−0.558979 | + | 0.829182i | \(0.688807\pi\) | |||||||
\(674\) | 3.05040 | + | 0.567027i | 0.117497 | + | 0.0218411i | ||||
\(675\) | −0.676499 | − | 0.198638i | −0.0260385 | − | 0.00764558i | ||||
\(676\) | 0.687375 | + | 0.0564762i | 0.0264375 | + | 0.00217216i | ||||
\(677\) | −2.99319 | + | 20.8181i | −0.115037 | + | 0.800103i | 0.847857 | + | 0.530225i | \(0.177893\pi\) |
−0.962894 | + | 0.269878i | \(0.913017\pi\) | |||||||
\(678\) | −12.5584 | − | 11.8169i | −0.482302 | − | 0.453825i | ||||
\(679\) | 8.60786 | + | 3.93108i | 0.330339 | + | 0.150861i | ||||
\(680\) | 16.3231 | + | 33.9445i | 0.625962 | + | 1.30171i | ||||
\(681\) | −1.60721 | − | 2.50087i | −0.0615884 | − | 0.0958334i | ||||
\(682\) | −18.7820 | − | 13.1883i | −0.719200 | − | 0.505008i | ||||
\(683\) | 3.39115 | + | 23.5860i | 0.129759 | + | 0.902493i | 0.945858 | + | 0.324581i | \(0.105223\pi\) |
−0.816099 | + | 0.577912i | \(0.803868\pi\) | |||||||
\(684\) | 11.4315 | − | 0.696142i | 0.437095 | − | 0.0266177i | ||||
\(685\) | 9.76424 | − | 15.1935i | 0.373072 | − | 0.580512i | ||||
\(686\) | −18.4567 | + | 10.8193i | −0.704682 | + | 0.413083i | ||||
\(687\) | 5.45094 | − | 1.60054i | 0.207966 | − | 0.0610644i | ||||
\(688\) | 11.8433 | + | 14.2669i | 0.451523 | + | 0.543922i | ||||
\(689\) | 41.2210i | 1.57039i | ||||||||
\(690\) | 10.2379 | − | 9.63084i | 0.389749 | − | 0.366640i | ||||
\(691\) | −35.6242 | −1.35521 | −0.677605 | − | 0.735426i | \(-0.736982\pi\) | ||||
−0.677605 | + | 0.735426i | \(0.736982\pi\) | |||||||
\(692\) | −45.0555 | − | 10.3015i | −1.71275 | − | 0.391606i | ||||
\(693\) | 4.11406 | + | 14.0112i | 0.156280 | + | 0.532242i | ||||
\(694\) | −21.0335 | + | 12.3298i | −0.798419 | + | 0.468032i | ||||
\(695\) | 34.8383 | + | 22.3892i | 1.32149 | + | 0.849271i | ||||
\(696\) | 21.8317 | + | 5.94272i | 0.827528 | + | 0.225258i | ||||
\(697\) | −21.2237 | + | 3.05150i | −0.803904 | + | 0.115584i | ||||
\(698\) | 2.89197 | − | 4.11856i | 0.109463 | − | 0.155890i | ||||
\(699\) | −9.31477 | + | 5.98624i | −0.352317 | + | 0.226420i | ||||
\(700\) | 3.01280 | − | 2.94973i | 0.113873 | − | 0.111489i | ||||
\(701\) | −12.6052 | + | 27.6015i | −0.476092 | + | 1.04250i | 0.507428 | + | 0.861694i | \(0.330596\pi\) |
−0.983520 | + | 0.180802i | \(0.942131\pi\) | |||||||
\(702\) | −3.66393 | − | 3.44760i | −0.138286 | − | 0.130121i | ||||
\(703\) | 18.7101 | + | 2.69010i | 0.705663 | + | 0.101459i | ||||
\(704\) | 38.4211 | − | 7.08935i | 1.44805 | − | 0.267190i | ||||
\(705\) | 1.79959 | − | 6.12884i | 0.0677765 | − | 0.230826i | ||||
\(706\) | −5.68232 | + | 30.5688i | −0.213857 | + | 1.15047i | ||||
\(707\) | 36.6397 | − | 31.7485i | 1.37798 | − | 1.19402i | ||||
\(708\) | −6.43406 | − | 17.8240i | −0.241807 | − | 0.669866i | ||||
\(709\) | 2.00652 | − | 2.31565i | 0.0753565 | − | 0.0869661i | −0.716819 | − | 0.697259i | \(-0.754403\pi\) |
0.792176 | + | 0.610293i | \(0.208948\pi\) | |||||||
\(710\) | 0.592200 | − | 14.4397i | 0.0222249 | − | 0.541912i | ||||
\(711\) | 1.70532 | + | 3.73413i | 0.0639545 | + | 0.140041i | ||||
\(712\) | 9.97523 | − | 6.69388i | 0.373838 | − | 0.250864i | ||||
\(713\) | −12.6570 | + | 9.68283i | −0.474007 | + | 0.362625i | ||||
\(714\) | −8.71705 | + | 25.7355i | −0.326227 | + | 0.963126i | ||||
\(715\) | −14.9570 | − | 32.7512i | −0.559359 | − | 1.22483i | ||||
\(716\) | −5.82175 | − | 2.24183i | −0.217569 | − | 0.0837811i | ||||
\(717\) | −16.1343 | − | 13.9804i | −0.602546 | − | 0.522109i | ||||
\(718\) | −8.50511 | − | 10.6692i | −0.317408 | − | 0.398171i | ||||
\(719\) | 3.20131 | − | 2.77395i | 0.119389 | − | 0.103451i | −0.593120 | − | 0.805114i | \(-0.702104\pi\) |
0.712509 | + | 0.701663i | \(0.247559\pi\) | |||||||
\(720\) | 7.61174 | − | 3.28337i | 0.283673 | − | 0.122364i | ||||
\(721\) | 1.94267 | + | 0.570420i | 0.0723489 | + | 0.0212436i | ||||
\(722\) | 18.9228 | − | 4.72331i | 0.704235 | − | 0.175783i | ||||
\(723\) | −14.8976 | − | 2.14195i | −0.554047 | − | 0.0796600i | ||||
\(724\) | 30.7537 | − | 16.3729i | 1.14295 | − | 0.608494i | ||||
\(725\) | −5.13045 | − | 2.34300i | −0.190540 | − | 0.0870167i | ||||
\(726\) | 8.22059 | − | 16.2079i | 0.305095 | − | 0.601532i | ||||
\(727\) | 10.1142 | − | 6.50000i | 0.375115 | − | 0.241072i | −0.339475 | − | 0.940615i | \(-0.610250\pi\) |
0.714590 | + | 0.699543i | \(0.246613\pi\) | |||||||
\(728\) | 28.6934 | − | 9.04699i | 1.06345 | − | 0.335304i | ||||
\(729\) | −0.142315 | − | 0.989821i | −0.00527092 | − | 0.0366601i | ||||
\(730\) | 5.47559 | + | 13.4195i | 0.202661 | + | 0.496680i | ||||
\(731\) | 25.0578 | + | 16.1037i | 0.926797 | + | 0.595617i | ||||
\(732\) | 10.7279 | − | 2.21513i | 0.396514 | − | 0.0818735i | ||||
\(733\) | 1.27684 | − | 0.374914i | 0.0471611 | − | 0.0138478i | −0.258067 | − | 0.966127i | \(-0.583085\pi\) |
0.305228 | + | 0.952279i | \(0.401267\pi\) | |||||||
\(734\) | −4.22333 | − | 41.3387i | −0.155886 | − | 1.52584i | ||||
\(735\) | −4.02184 | −0.148348 | ||||||||
\(736\) | 3.33117 | − | 26.9240i | 0.122789 | − | 0.992433i | ||||
\(737\) | 48.3038 | 1.77930 | ||||||||
\(738\) | 0.479627 | + | 4.69469i | 0.0176553 | + | 0.172814i | ||||
\(739\) | −5.15679 | + | 1.51417i | −0.189696 | + | 0.0556997i | −0.375201 | − | 0.926944i | \(-0.622426\pi\) |
0.185505 | + | 0.982643i | \(0.440608\pi\) | |||||||
\(740\) | 13.3993 | − | 2.76673i | 0.492569 | − | 0.101707i | ||||
\(741\) | −17.1371 | − | 11.0134i | −0.629548 | − | 0.404586i | ||||
\(742\) | −18.5113 | − | 45.3674i | −0.679570 | − | 1.66549i | ||||
\(743\) | −0.618370 | − | 4.30086i | −0.0226858 | − | 0.157783i | 0.975330 | − | 0.220754i | \(-0.0708517\pi\) |
−0.998015 | + | 0.0629705i | \(0.979943\pi\) | |||||||
\(744\) | −8.96355 | + | 2.82619i | −0.328620 | + | 0.103613i | ||||
\(745\) | −31.6802 | + | 20.3597i | −1.16067 | + | 0.745920i | ||||
\(746\) | −13.8703 | + | 27.3469i | −0.507826 | + | 1.00124i | ||||
\(747\) | 15.1695 | + | 6.92769i | 0.555024 | + | 0.253471i | ||||
\(748\) | 55.4000 | − | 29.4943i | 2.02562 | − | 1.07842i | ||||
\(749\) | −47.4029 | − | 6.81551i | −1.73207 | − | 0.249033i | ||||
\(750\) | −16.2229 | + | 4.04938i | −0.592378 | + | 0.147863i | ||||
\(751\) | −33.5218 | − | 9.84290i | −1.22323 | − | 0.359173i | −0.394539 | − | 0.918879i | \(-0.629096\pi\) |
−0.828691 | + | 0.559707i | \(0.810914\pi\) | |||||||
\(752\) | −4.88315 | − | 11.3204i | −0.178070 | − | 0.412814i | ||||
\(753\) | −12.7263 | + | 11.0274i | −0.463772 | + | 0.401860i | ||||
\(754\) | −25.0864 | − | 31.4696i | −0.913594 | − | 1.14606i | ||||
\(755\) | −27.4415 | − | 23.7782i | −0.998698 | − | 0.865376i | ||||
\(756\) | 5.58071 | + | 2.14901i | 0.202968 | + | 0.0781588i | ||||
\(757\) | 9.72798 | + | 21.3013i | 0.353570 | + | 0.774209i | 0.999937 | + | 0.0111835i | \(0.00355989\pi\) |
−0.646368 | + | 0.763026i | \(0.723713\pi\) | |||||||
\(758\) | 6.15811 | − | 18.1807i | 0.223673 | − | 0.660351i | ||||
\(759\) | −16.7335 | − | 16.3875i | −0.607389 | − | 0.594830i | ||||
\(760\) | 27.8722 | − | 18.7036i | 1.01103 | − | 0.678452i | ||||
\(761\) | −0.404206 | − | 0.885088i | −0.0146525 | − | 0.0320844i | 0.902164 | − | 0.431393i | \(-0.141978\pi\) |
−0.916817 | + | 0.399308i | \(0.869250\pi\) | |||||||
\(762\) | 0.791304 | − | 19.2945i | 0.0286659 | − | 0.698965i | ||||
\(763\) | −17.9361 | + | 20.6993i | −0.649329 | + | 0.749366i | ||||
\(764\) | −4.21703 | − | 11.6822i | −0.152567 | − | 0.422649i | ||||
\(765\) | 10.0641 | − | 8.72057i | 0.363867 | − | 0.315293i | ||||
\(766\) | 4.28352 | − | 23.0438i | 0.154770 | − | 0.832606i | ||||
\(767\) | −9.49605 | + | 32.3406i | −0.342883 | + | 1.16775i | ||||
\(768\) | 7.25633 | − | 14.2599i | 0.261840 | − | 0.514561i | ||||
\(769\) | −33.3920 | − | 4.80104i | −1.20415 | − | 0.173130i | −0.489113 | − | 0.872221i | \(-0.662679\pi\) |
−0.715033 | + | 0.699091i | \(0.753588\pi\) | |||||||
\(770\) | 31.1692 | + | 29.3289i | 1.12326 | + | 1.05694i | ||||
\(771\) | −11.2126 | + | 24.5521i | −0.403810 | + | 0.884221i | ||||
\(772\) | 9.88207 | − | 9.67518i | 0.355664 | − | 0.348217i | ||||
\(773\) | 6.00545 | − | 3.85947i | 0.216001 | − | 0.138815i | −0.428166 | − | 0.903700i | \(-0.640840\pi\) |
0.644168 | + | 0.764884i | \(0.277204\pi\) | |||||||
\(774\) | 3.76725 | − | 5.36508i | 0.135411 | − | 0.192844i | ||||
\(775\) | 2.31898 | − | 0.333420i | 0.0833004 | − | 0.0119768i | ||||
\(776\) | −8.63711 | − | 2.35107i | −0.310054 | − | 0.0843986i | ||||
\(777\) | 8.30333 | + | 5.33622i | 0.297880 | + | 0.191436i | ||||
\(778\) | −7.09150 | + | 4.15703i | −0.254243 | + | 0.149037i | ||||
\(779\) | 5.38345 | + | 18.3343i | 0.192882 | + | 0.656896i | ||||
\(780\) | −14.3740 | − | 3.28649i | −0.514671 | − | 0.117675i | ||||
\(781\) | −24.0812 | −0.861694 | ||||||||
\(782\) | −7.95900 | − | 42.8480i | −0.284613 | − | 1.53224i | ||||
\(783\) | − | 7.99952i | − | 0.285880i | ||||||
\(784\) | −5.97279 | + | 4.95816i | −0.213314 | + | 0.177077i | ||||
\(785\) | −31.7848 | + | 9.33285i | −1.13445 | + | 0.333104i | ||||
\(786\) | 1.36670 | − | 0.801158i | 0.0487486 | − | 0.0285764i | ||||
\(787\) | 9.57750 | − | 14.9029i | 0.341401 | − | 0.531231i | −0.627520 | − | 0.778600i | \(-0.715930\pi\) |
0.968921 | + | 0.247370i | \(0.0795663\pi\) | |||||||
\(788\) | −7.80729 | + | 0.475439i | −0.278123 | + | 0.0169368i | ||||
\(789\) | −2.46304 | − | 17.1308i | −0.0876864 | − | 0.609873i | ||||
\(790\) | 9.84644 | + | 6.91397i | 0.350321 | + | 0.245988i | ||||
\(791\) | −19.7112 | − | 30.6713i | −0.700851 | − | 1.09054i | ||||
\(792\) | −5.98626 | − | 12.4487i | −0.212713 | − | 0.442344i | ||||
\(793\) | −17.7235 | − | 8.09406i | −0.629381 | − | 0.287429i | ||||
\(794\) | 14.4855 | + | 13.6302i | 0.514071 | + | 0.483718i | ||||
\(795\) | −3.41754 | + | 23.7695i | −0.121208 | + | 0.843017i | ||||
\(796\) | −19.0608 | − | 1.56608i | −0.675593 | − | 0.0555081i | ||||
\(797\) | 42.0847 | + | 12.3572i | 1.49072 | + | 0.437713i | 0.922769 | − | 0.385353i | \(-0.125920\pi\) |
0.567946 | + | 0.823066i | \(0.307738\pi\) | |||||||
\(798\) | 23.8068 | + | 4.42535i | 0.842750 | + | 0.156656i | ||||
\(799\) | −12.9695 | − | 14.9676i | −0.458829 | − | 0.529517i | ||||
\(800\) | −2.36052 | + | 3.21487i | −0.0834569 | + | 0.113663i | ||||
\(801\) | −3.20986 | − | 2.78136i | −0.113415 | − | 0.0982745i | ||||
\(802\) | 1.69920 | − | 41.4319i | 0.0600010 | − | 1.46301i | ||||
\(803\) | 21.9685 | − | 10.0327i | 0.775250 | − | 0.354045i | ||||
\(804\) | 12.0215 | − | 15.7097i | 0.423967 | − | 0.554040i | ||||
\(805\) | 25.9331 | − | 14.5142i | 0.914022 | − | 0.511560i | ||||
\(806\) | 15.8336 | + | 5.36311i | 0.557715 | + | 0.188908i | ||||
\(807\) | −16.5964 | + | 7.57933i | −0.584222 | + | 0.266805i | ||||
\(808\) | −29.3387 | + | 35.2475i | −1.03213 | + | 1.24000i | ||||
\(809\) | 4.86530 | − | 5.61485i | 0.171055 | − | 0.197408i | −0.663749 | − | 0.747955i | \(-0.731036\pi\) |
0.834804 | + | 0.550548i | \(0.185581\pi\) | |||||||
\(810\) | −1.82692 | − | 2.29178i | −0.0641915 | − | 0.0805248i | ||||
\(811\) | 0.131638 | + | 0.151918i | 0.00462244 | + | 0.00533458i | 0.758056 | − | 0.652189i | \(-0.226149\pi\) |
−0.753434 | + | 0.657524i | \(0.771604\pi\) | |||||||
\(812\) | 41.7421 | + | 23.3695i | 1.46486 | + | 0.820107i | ||||
\(813\) | −3.00957 | + | 10.2497i | −0.105550 | + | 0.359471i | ||||
\(814\) | −5.52129 | − | 22.1198i | −0.193521 | − | 0.775298i | ||||
\(815\) | −2.23743 | + | 15.5617i | −0.0783739 | + | 0.545102i | ||||
\(816\) | 4.19524 | − | 25.3579i | 0.146863 | − | 0.887705i | ||||
\(817\) | 11.0270 | − | 24.1458i | 0.385787 | − | 0.844756i | ||||
\(818\) | 10.9261 | − | 21.5422i | 0.382023 | − | 0.753205i | ||||
\(819\) | −5.75078 | − | 8.94839i | −0.200949 | − | 0.312682i | ||||
\(820\) | 8.17105 | + | 11.1594i | 0.285345 | + | 0.389702i | ||||
\(821\) | −21.9820 | + | 3.16054i | −0.767178 | + | 0.110304i | −0.514783 | − | 0.857321i | \(-0.672127\pi\) |
−0.252395 | + | 0.967624i | \(0.581218\pi\) | |||||||
\(822\) | −11.4111 | + | 4.65606i | −0.398006 | + | 0.162399i | ||||
\(823\) | −3.11868 | + | 4.85276i | −0.108710 | + | 0.169157i | −0.891346 | − | 0.453323i | \(-0.850238\pi\) |
0.782636 | + | 0.622480i | \(0.213875\pi\) | |||||||
\(824\) | −1.90076 | − | 0.234916i | −0.0662160 | − | 0.00818368i | ||||
\(825\) | 0.970090 | + | 3.30382i | 0.0337742 | + | 0.115024i | ||||
\(826\) | −4.07206 | − | 39.8581i | −0.141685 | − | 1.38684i | ||||
\(827\) | − | 19.6969i | − | 0.684929i | −0.939531 | − | 0.342464i | \(-0.888738\pi\) | ||
0.939531 | − | 0.342464i | \(-0.111262\pi\) | |||||||
\(828\) | −9.49421 | + | 1.36378i | −0.329947 | + | 0.0473947i | ||||
\(829\) | − | 48.8033i | − | 1.69501i | −0.530788 | − | 0.847504i | \(-0.678104\pi\) | ||
0.530788 | − | 0.847504i | \(-0.321896\pi\) | |||||||
\(830\) | 48.6234 | − | 4.96755i | 1.68774 | − | 0.172426i | ||||
\(831\) | 0.144806 | + | 0.493165i | 0.00502328 | + | 0.0171077i | ||||
\(832\) | −25.3983 | + | 12.8397i | −0.880527 | + | 0.445136i | ||||
\(833\) | −6.74174 | + | 10.4904i | −0.233587 | + | 0.363469i | ||||
\(834\) | −10.6762 | − | 26.1653i | −0.369688 | − | 0.906031i | ||||
\(835\) | 22.3355 | − | 3.21136i | 0.772952 | − | 0.111134i | ||||
\(836\) | −33.0430 | − | 45.1276i | −1.14282 | − | 1.56077i | ||||
\(837\) | 1.79649 | + | 2.79539i | 0.0620957 | + | 0.0966228i | ||||
\(838\) | 23.4690 | + | 11.9034i | 0.810722 | + | 0.411195i | ||||
\(839\) | 4.28061 | − | 9.37322i | 0.147783 | − | 0.323599i | −0.821235 | − | 0.570590i | \(-0.806714\pi\) |
0.969018 | + | 0.246991i | \(0.0794417\pi\) | |||||||
\(840\) | 17.2957 | − | 2.83791i | 0.596760 | − | 0.0979172i | ||||
\(841\) | 4.97993 | − | 34.6362i | 0.171722 | − | 1.19435i | ||||
\(842\) | −42.8806 | + | 10.7034i | −1.47776 | + | 0.368862i | ||||
\(843\) | 0.0168761 | − | 0.0574748i | 0.000581245 | − | 0.00197954i | ||||
\(844\) | −0.829592 | + | 1.48180i | −0.0285557 | + | 0.0510057i | ||||
\(845\) | −0.468007 | − | 0.540109i | −0.0160999 | − | 0.0185803i | ||||
\(846\) | −3.40841 | + | 2.71706i | −0.117184 | + | 0.0934145i | ||||
\(847\) | 25.1626 | − | 29.0392i | 0.864598 | − | 0.997799i | ||||
\(848\) | 24.2279 | + | 39.5130i | 0.831991 | + | 1.35688i | ||||
\(849\) | 12.0651 | − | 5.50993i | 0.414072 | − | 0.189100i | ||||
\(850\) | −2.05547 | + | 6.06838i | −0.0705019 | + | 0.208144i | ||||
\(851\) | −15.8015 | − | 0.964355i | −0.541667 | − | 0.0330577i | ||||
\(852\) | −5.99318 | + | 7.83187i | −0.205323 | + | 0.268315i | ||||
\(853\) | 11.2173 | − | 5.12277i | 0.384073 | − | 0.175400i | −0.214015 | − | 0.976830i | \(-0.568654\pi\) |
0.598089 | + | 0.801430i | \(0.295927\pi\) | |||||||
\(854\) | 23.1412 | + | 0.949065i | 0.791874 | + | 0.0324763i | ||||
\(855\) | −8.96879 | − | 7.77150i | −0.306726 | − | 0.265780i | ||||
\(856\) | 45.2922 | − | 0.898383i | 1.54806 | − | 0.0307061i | ||||
\(857\) | 36.4115 | + | 42.0211i | 1.24379 | + | 1.43541i | 0.858654 | + | 0.512556i | \(0.171301\pi\) |
0.385140 | + | 0.922858i | \(0.374153\pi\) | |||||||
\(858\) | −4.49024 | + | 24.1558i | −0.153294 | + | 0.824666i | ||||
\(859\) | −51.6909 | − | 15.1778i | −1.76367 | − | 0.517861i | −0.770803 | − | 0.637074i | \(-0.780145\pi\) |
−0.992869 | + | 0.119213i | \(0.961963\pi\) | |||||||
\(860\) | 1.57333 | − | 19.1490i | 0.0536500 | − | 0.652977i | ||||
\(861\) | −1.41998 | + | 9.87615i | −0.0483926 | + | 0.336578i | ||||
\(862\) | 34.8104 | − | 36.9947i | 1.18565 | − | 1.26005i | ||||
\(863\) | 41.7195 | + | 19.0527i | 1.42015 | + | 0.648560i | 0.969713 | − | 0.244248i | \(-0.0785412\pi\) |
0.450436 | + | 0.892809i | \(0.351268\pi\) | |||||||
\(864\) | −5.53847 | − | 1.15125i | −0.188423 | − | 0.0391662i | ||||
\(865\) | 25.8923 | + | 40.2891i | 0.880363 | + | 1.36987i | ||||
\(866\) | −15.2187 | + | 21.6735i | −0.517152 | + | 0.736494i | ||||
\(867\) | −3.45669 | − | 24.0418i | −0.117395 | − | 0.816502i | ||||
\(868\) | −19.8347 | + | 1.20787i | −0.673234 | + | 0.0409978i | ||||
\(869\) | 10.8388 | − | 16.8655i | 0.367682 | − | 0.572124i | ||||
\(870\) | −11.8567 | − | 20.2264i | −0.401979 | − | 0.685738i | ||||
\(871\) | −33.7604 | + | 9.91295i | −1.14393 | + | 0.335888i | ||||
\(872\) | 13.5721 | − | 22.0689i | 0.459609 | − | 0.747348i | ||||
\(873\) | 3.16479i | 0.107112i | ||||||||
\(874\) | −36.7867 | + | 12.4549i | −1.24433 | + | 0.421293i | ||||
\(875\) | −35.3527 | −1.19514 | ||||||||
\(876\) | 2.20447 | − | 9.64161i | 0.0744822 | − | 0.325760i | ||||
\(877\) | 4.26739 | + | 14.5334i | 0.144100 | + | 0.490758i | 0.999636 | − | 0.0269849i | \(-0.00859061\pi\) |
−0.855536 | + | 0.517743i | \(0.826772\pi\) | |||||||
\(878\) | 1.02029 | + | 1.74053i | 0.0344333 | + | 0.0587399i | ||||
\(879\) | −5.18209 | − | 3.33033i | −0.174787 | − | 0.112329i | ||||
\(880\) | −33.5870 | − | 22.6031i | −1.13222 | − | 0.761951i | ||||
\(881\) | 0.705445 | − | 0.101428i | 0.0237670 | − | 0.00341718i | −0.130421 | − | 0.991459i | \(-0.541633\pi\) |
0.154188 | + | 0.988042i | \(0.450724\pi\) | |||||||
\(882\) | 2.24607 | + | 1.57714i | 0.0756290 | + | 0.0531052i | ||||
\(883\) | −2.69821 | + | 1.73403i | −0.0908019 | + | 0.0583548i | −0.585254 | − | 0.810850i | \(-0.699005\pi\) |
0.494452 | + | 0.869205i | \(0.335369\pi\) | |||||||
\(884\) | −32.6672 | + | 31.9833i | −1.09872 | + | 1.07571i | ||||
\(885\) | −8.15705 | + | 17.8614i | −0.274196 | + | 0.600406i | ||||
\(886\) | 16.5926 | − | 17.6337i | 0.557438 | − | 0.592417i | ||||
\(887\) | 16.5178 | + | 2.37490i | 0.554612 | + | 0.0797412i | 0.413922 | − | 0.910312i | \(-0.364159\pi\) |
0.140691 | + | 0.990054i | \(0.455068\pi\) | |||||||
\(888\) | −8.56806 | − | 3.70935i | −0.287525 | − | 0.124478i | ||||
\(889\) | 11.5028 | − | 39.1750i | 0.385792 | − | 1.31389i | ||||
\(890\) | −12.2384 | − | 2.27496i | −0.410233 | − | 0.0762567i | ||||
\(891\) | −3.69086 | + | 3.19815i | −0.123648 | + | 0.107142i | ||||
\(892\) | −22.2578 | + | 8.03458i | −0.745247 | + | 0.269018i | ||||
\(893\) | −11.5580 | + | 13.3387i | −0.386775 | + | 0.446363i | ||||
\(894\) | 25.6763 | + | 1.05304i | 0.858745 | + | 0.0352188i | ||||
\(895\) | 2.68540 | + | 5.88021i | 0.0897630 | + | 0.196554i | ||||
\(896\) | 22.1871 | − | 25.5369i | 0.741220 | − | 0.853129i | ||||
\(897\) | 15.0584 | + | 8.01948i | 0.502787 | + | 0.267763i | ||||
\(898\) | 18.7038 | + | 6.33529i | 0.624153 | + | 0.211411i | ||||
\(899\) | 11.0424 | + | 24.1794i | 0.368283 | + | 0.806428i | ||||
\(900\) | 1.31592 | + | 0.506734i | 0.0438641 | + | 0.0168911i | ||||
\(901\) | 56.2704 | + | 48.7586i | 1.87464 | + | 1.62438i | ||||
\(902\) | 18.0214 | − | 14.3660i | 0.600048 | − | 0.478337i | ||||
\(903\) | 10.4752 | − | 9.07680i | 0.348592 | − | 0.302057i | ||||
\(904\) | 23.0972 | + | 25.6111i | 0.768200 | + | 0.851814i | ||||
\(905\) | −34.6398 | − | 10.1712i | −1.15147 | − | 0.338101i | ||||
\(906\) | 6.00069 | + | 24.0404i | 0.199360 | + | 0.798688i | ||||
\(907\) | −24.8648 | − | 3.57502i | −0.825623 | − | 0.118707i | −0.283465 | − | 0.958983i | \(-0.591484\pi\) |
−0.542159 | + | 0.840276i | \(0.682393\pi\) | |||||||
\(908\) | 2.79405 | + | 5.24815i | 0.0927238 | + | 0.174166i | ||||
\(909\) | 14.7487 | + | 6.73553i | 0.489185 | + | 0.223403i | ||||
\(910\) | −27.8036 | − | 14.1019i | −0.921681 | − | 0.467473i | ||||
\(911\) | 2.43761 | − | 1.56656i | 0.0807615 | − | 0.0519023i | −0.499637 | − | 0.866235i | \(-0.666533\pi\) |
0.580398 | + | 0.814333i | \(0.302897\pi\) | |||||||
\(912\) | −22.9002 | − | 0.484558i | −0.758303 | − | 0.0160453i | ||||
\(913\) | −11.5906 | − | 80.6144i | −0.383593 | − | 2.66795i | ||||
\(914\) | −31.6327 | + | 12.9071i | −1.04632 | + | 0.426928i | ||||
\(915\) | −9.54896 | − | 6.13675i | −0.315679 | − | 0.202875i | ||||
\(916\) | −11.1274 | + | 2.29762i | −0.367659 | + | 0.0759153i | ||||
\(917\) | 3.21384 | − | 0.943669i | 0.106130 | − | 0.0311627i | ||||
\(918\) | −9.04019 | + | 0.923581i | −0.298371 | + | 0.0304827i | ||||
\(919\) | 9.13493 | 0.301333 | 0.150667 | − | 0.988585i | \(-0.451858\pi\) | ||||
0.150667 | + | 0.988585i | \(0.451858\pi\) | |||||||
\(920\) | −21.9843 | + | 17.5203i | −0.724800 | + | 0.577628i | ||||
\(921\) | −7.20778 | −0.237504 | ||||||||
\(922\) | 5.53526 | − | 0.565504i | 0.182294 | − | 0.0186239i | ||||
\(923\) | 16.8308 | − | 4.94197i | 0.553992 | − | 0.162667i | ||||
\(924\) | −5.90584 | − | 28.6021i | −0.194288 | − | 0.940939i | ||||
\(925\) | 1.95791 | + | 1.25827i | 0.0643757 | + | 0.0413718i | ||||
\(926\) | 47.0224 | − | 19.1866i | 1.54525 | − | 0.630510i | ||||
\(927\) | 0.0963660 | + | 0.670240i | 0.00316507 | + | 0.0220136i | ||||
\(928\) | −42.5435 | − | 15.4209i | −1.39656 | − | 0.506217i | ||||
\(929\) | 5.97361 | − | 3.83901i | 0.195988 | − | 0.125954i | −0.438966 | − | 0.898503i | \(-0.644655\pi\) |
0.634954 | + | 0.772550i | \(0.281019\pi\) | |||||||
\(930\) | 8.68558 | + | 4.40529i | 0.284811 | + | 0.144455i | ||||
\(931\) | 10.1086 | + | 4.61642i | 0.331294 | + | 0.151297i | ||||
\(932\) | 19.5474 | − | 10.4068i | 0.640295 | − | 0.340885i | ||||
\(933\) | −0.578602 | − | 0.0831905i | −0.0189426 | − | 0.00272353i | ||||
\(934\) | −1.95761 | − | 7.84272i | −0.0640550 | − | 0.256622i | ||||
\(935\) | −62.4004 | − | 18.3224i | −2.04071 | − | 0.599207i | ||||
\(936\) | 6.73863 | + | 7.47209i | 0.220259 | + | 0.244233i | ||||
\(937\) | 14.8483 | − | 12.8661i | 0.485074 | − | 0.420319i | −0.377685 | − | 0.925934i | \(-0.623280\pi\) |
0.862759 | + | 0.505615i | \(0.168734\pi\) | |||||||
\(938\) | 32.7047 | − | 26.0710i | 1.06785 | − | 0.851249i | ||||
\(939\) | −17.4917 | − | 15.1567i | −0.570821 | − | 0.494619i | ||||
\(940\) | −4.59083 | + | 11.9218i | −0.149736 | + | 0.388846i | ||||
\(941\) | −6.53794 | − | 14.3161i | −0.213131 | − | 0.466691i | 0.772628 | − | 0.634860i | \(-0.218942\pi\) |
−0.985758 | + | 0.168168i | \(0.946215\pi\) | |||||||
\(942\) | 21.4106 | + | 7.25214i | 0.697595 | + | 0.236288i | ||||
\(943\) | −5.74891 | − | 14.9351i | −0.187210 | − | 0.486353i | ||||
\(944\) | 9.90583 | + | 36.5819i | 0.322407 | + | 1.19064i | ||||
\(945\) | −2.57422 | − | 5.63675i | −0.0837393 | − | 0.183363i | ||||
\(946\) | −31.9889 | − | 1.31193i | −1.04005 | − | 0.0426544i | ||||
\(947\) | −3.74024 | + | 4.31646i | −0.121541 | + | 0.140266i | −0.813259 | − | 0.581902i | \(-0.802309\pi\) |
0.691718 | + | 0.722168i | \(0.256854\pi\) | |||||||
\(948\) | −2.78764 | − | 7.72246i | −0.0905383 | − | 0.250814i | ||||
\(949\) | −13.2952 | + | 11.5204i | −0.431582 | + | 0.373968i | ||||
\(950\) | 5.61360 | + | 1.04349i | 0.182129 | + | 0.0338553i | ||||
\(951\) | −3.31617 | + | 11.2938i | −0.107534 | + | 0.366228i | ||||
\(952\) | 21.5903 | − | 49.8705i | 0.699746 | − | 1.61631i | ||||
\(953\) | 33.9597 | + | 4.88267i | 1.10006 | + | 0.158165i | 0.668351 | − | 0.743846i | \(-0.267001\pi\) |
0.431712 | + | 0.902011i | \(0.357910\pi\) | |||||||
\(954\) | 11.2297 | − | 11.9343i | 0.363574 | − | 0.386388i | ||||
\(955\) | −5.34632 | + | 11.7068i | −0.173003 | + | 0.378824i | ||||
\(956\) | 29.8706 | + | 30.5093i | 0.966083 | + | 0.986742i | ||||
\(957\) | −32.8655 | + | 21.1214i | −1.06239 | + | 0.682757i | ||||
\(958\) | 29.1576 | + | 20.4739i | 0.942039 | + | 0.661481i | ||||
\(959\) | −25.7924 | + | 3.70839i | −0.832881 | + | 0.119750i | ||||
\(960\) | −15.7101 | + | 5.29810i | −0.507040 | + | 0.170996i | ||||
\(961\) | 16.7901 | + | 10.7903i | 0.541616 | + | 0.348075i | ||||
\(962\) | 8.39837 | + | 14.3268i | 0.270774 | + | 0.461915i | ||||
\(963\) | −4.51233 | − | 15.3676i | −0.145408 | − | 0.495214i | ||||
\(964\) | 29.3443 | + | 6.70933i | 0.945117 | + | 0.216093i | ||||
\(965\) | −14.3306 | −0.461320 | ||||||||
\(966\) | −20.1745 | − | 2.06380i | −0.649104 | − | 0.0664017i | ||||
\(967\) | − | 5.15233i | − | 0.165688i | −0.996563 | − | 0.0828438i | \(-0.973600\pi\) | ||
0.996563 | − | 0.0828438i | \(-0.0264003\pi\) | |||||||
\(968\) | −19.0404 | + | 30.9607i | −0.611981 | + | 0.995113i | ||||
\(969\) | −35.3050 | + | 10.3665i | −1.13416 | + | 0.333020i | ||||
\(970\) | 4.69077 | + | 8.00201i | 0.150611 | + | 0.256929i | ||||
\(971\) | −23.2334 | + | 36.1519i | −0.745597 | + | 1.16017i | 0.236470 | + | 0.971639i | \(0.424009\pi\) |
−0.982067 | + | 0.188533i | \(0.939627\pi\) | |||||||
\(972\) | 0.121568 | + | 1.99630i | 0.00389931 | + | 0.0640314i | ||||
\(973\) | −8.50327 | − | 59.1415i | −0.272602 | − | 1.89599i | ||||
\(974\) | 32.9702 | − | 46.9541i | 1.05643 | − | 1.50451i | ||||
\(975\) | −1.35603 | − | 2.11002i | −0.0434276 | − | 0.0675746i | ||||
\(976\) | −21.7465 | + | 2.65844i | −0.696089 | + | 0.0850947i | ||||
\(977\) | −42.6730 | − | 19.4881i | −1.36523 | − | 0.623480i | −0.408047 | − | 0.912961i | \(-0.633790\pi\) |
−0.957184 | + | 0.289481i | \(0.906517\pi\) | |||||||
\(978\) | 7.35197 | − | 7.81331i | 0.235090 | − | 0.249842i | ||||
\(979\) | −2.95194 | + | 20.5312i | −0.0943445 | + | 0.656180i | ||||
\(980\) | 8.01666 | + | 0.658666i | 0.256083 | + | 0.0210403i | ||||
\(981\) | −8.78892 | − | 2.58066i | −0.280609 | − | 0.0823941i | ||||
\(982\) | −2.76990 | + | 14.9011i | −0.0883912 | + | 0.475512i | ||||
\(983\) | −12.4750 | − | 14.3970i | −0.397892 | − | 0.459192i | 0.521084 | − | 0.853505i | \(-0.325528\pi\) |
−0.918976 | + | 0.394313i | \(0.870982\pi\) | |||||||
\(984\) | −0.187173 | − | 9.43639i | −0.00596687 | − | 0.300821i | ||||
\(985\) | 6.12535 | + | 5.30765i | 0.195170 | + | 0.169116i | ||||
\(986\) | −72.6326 | − | 2.97880i | −2.31309 | − | 0.0948645i | ||||
\(987\) | −8.38317 | + | 3.82847i | −0.266839 | + | 0.121861i | ||||
\(988\) | 32.3555 | + | 24.7593i | 1.02936 | + | 0.787700i | ||||
\(989\) | −7.55101 | + | 20.9095i | −0.240108 | + | 0.664885i | ||||
\(990\) | −4.59194 | + | 13.5568i | −0.145941 | + | 0.430865i | ||||
\(991\) | 7.11028 | − | 3.24716i | 0.225865 | − | 0.103149i | −0.299268 | − | 0.954169i | \(-0.596743\pi\) |
0.525134 | + | 0.851020i | \(0.324015\pi\) | |||||||
\(992\) | 18.3297 | − | 4.16542i | 0.581970 | − | 0.132252i | ||||
\(993\) | 16.2164 | − | 18.7148i | 0.514613 | − | 0.593895i | ||||
\(994\) | −16.3045 | + | 12.9973i | −0.517147 | + | 0.412251i | ||||
\(995\) | 12.9778 | + | 14.9771i | 0.411423 | + | 0.474807i | ||||
\(996\) | −29.1026 | − | 16.2932i | −0.922151 | − | 0.516270i | ||||
\(997\) | −6.70052 | + | 22.8199i | −0.212207 | + | 0.722712i | 0.782743 | + | 0.622345i | \(0.213820\pi\) |
−0.994950 | + | 0.100367i | \(0.967998\pi\) | |||||||
\(998\) | −27.4445 | + | 6.85039i | −0.868741 | + | 0.216845i | ||||
\(999\) | −0.469776 | + | 3.26737i | −0.0148631 | + | 0.103375i |
(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 | 552.2.t.a.19.13 | yes | 240 | |
8.3 | odd | 2 | inner | 552.2.t.a.19.6 | ✓ | 240 | |
23.17 | odd | 22 | inner | 552.2.t.a.523.6 | yes | 240 | |
184.155 | even | 22 | inner | 552.2.t.a.523.13 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.t.a.19.6 | ✓ | 240 | 8.3 | odd | 2 | inner | |
552.2.t.a.19.13 | yes | 240 | 1.1 | even | 1 | trivial | |
552.2.t.a.523.6 | yes | 240 | 23.17 | odd | 22 | inner | |
552.2.t.a.523.13 | yes | 240 | 184.155 | even | 22 | inner |