Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [221,2,Mod(5,221)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(221, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([12, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("221.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 221 = 13 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 221.ba (of order \(16\), degree \(8\), 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: | \(1.76469388467\) |
Analytic rank: | \(0\) |
Dimension: | \(152\) |
Relative dimension: | \(19\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 148.18 | ||
Character | \(\chi\) | \(=\) | 221.148 |
Dual form | 221.2.ba.a.112.18 |
$q$-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 \(\left(\mathbb{Z}/221\mathbb{Z}\right)^\times\).
\(n\) | \(105\) | \(171\) |
\(\chi(n)\) | \(e\left(\frac{13}{16}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.03115 | + | 0.841331i | 1.43624 | + | 0.594911i | 0.958884 | − | 0.283799i | \(-0.0915948\pi\) |
0.477357 | + | 0.878709i | \(0.341595\pi\) | |||||||
\(3\) | 0.600920 | − | 0.401522i | 0.346941 | − | 0.231819i | −0.369874 | − | 0.929082i | \(-0.620599\pi\) |
0.716815 | + | 0.697263i | \(0.245599\pi\) | |||||||
\(4\) | 2.00353 | + | 2.00353i | 1.00176 | + | 1.00176i | ||||
\(5\) | 0.374154 | − | 0.250002i | 0.167327 | − | 0.111804i | −0.469087 | − | 0.883152i | \(-0.655417\pi\) |
0.636414 | + | 0.771348i | \(0.280417\pi\) | |||||||
\(6\) | 1.55837 | − | 0.309980i | 0.636203 | − | 0.126549i | ||||
\(7\) | −0.830760 | − | 0.555096i | −0.313998 | − | 0.209807i | 0.388577 | − | 0.921416i | \(-0.372967\pi\) |
−0.702575 | + | 0.711609i | \(0.747967\pi\) | |||||||
\(8\) | 0.701176 | + | 1.69279i | 0.247903 | + | 0.598491i | ||||
\(9\) | −0.948165 | + | 2.28907i | −0.316055 | + | 0.763024i | ||||
\(10\) | 0.970297 | − | 0.193004i | 0.306835 | − | 0.0610332i | ||||
\(11\) | −3.21497 | + | 0.639498i | −0.969351 | + | 0.192816i | −0.654280 | − | 0.756252i | \(-0.727028\pi\) |
−0.315071 | + | 0.949068i | \(0.602028\pi\) | |||||||
\(12\) | 2.00842 | + | 0.399499i | 0.579781 | + | 0.115326i | ||||
\(13\) | 2.09350 | − | 2.93552i | 0.580631 | − | 0.814167i | ||||
\(14\) | −1.22038 | − | 1.82643i | −0.326160 | − | 0.488134i | ||||
\(15\) | 0.124455 | − | 0.300462i | 0.0321343 | − | 0.0775789i | ||||
\(16\) | − | 1.63859i | − | 0.409649i | ||||||
\(17\) | −3.55089 | − | 2.09551i | −0.861218 | − | 0.508236i | ||||
\(18\) | −3.85173 | + | 3.85173i | −0.907862 | + | 0.907862i | ||||
\(19\) | 4.38866 | + | 1.81784i | 1.00683 | + | 0.417041i | 0.824296 | − | 0.566159i | \(-0.191571\pi\) |
0.182531 | + | 0.983200i | \(0.441571\pi\) | |||||||
\(20\) | 1.25051 | + | 0.248742i | 0.279623 | + | 0.0556204i | ||||
\(21\) | −0.722104 | −0.157576 | ||||||||
\(22\) | −7.06812 | − | 1.40594i | −1.50693 | − | 0.299747i | ||||
\(23\) | −2.65190 | + | 3.96885i | −0.552959 | + | 0.827562i | −0.997678 | − | 0.0681082i | \(-0.978304\pi\) |
0.444719 | + | 0.895670i | \(0.353304\pi\) | |||||||
\(24\) | 1.10104 | + | 0.735694i | 0.224750 | + | 0.150173i | ||||
\(25\) | −1.83593 | + | 4.43232i | −0.367185 | + | 0.886464i | ||||
\(26\) | 6.72195 | − | 4.20116i | 1.31828 | − | 0.823916i | ||||
\(27\) | 0.772329 | + | 3.88276i | 0.148635 | + | 0.747238i | ||||
\(28\) | −0.552300 | − | 2.77660i | −0.104375 | − | 0.524728i | ||||
\(29\) | 0.910635 | − | 4.57807i | 0.169101 | − | 0.850127i | −0.799339 | − | 0.600880i | \(-0.794817\pi\) |
0.968440 | − | 0.249247i | \(-0.0801831\pi\) | |||||||
\(30\) | 0.505576 | − | 0.505576i | 0.0923051 | − | 0.0923051i | ||||
\(31\) | −4.89149 | − | 0.972979i | −0.878538 | − | 0.174752i | −0.264840 | − | 0.964292i | \(-0.585319\pi\) |
−0.613699 | + | 0.789540i | \(0.710319\pi\) | |||||||
\(32\) | 2.78095 | − | 6.71381i | 0.491608 | − | 1.18685i | ||||
\(33\) | −1.67517 | + | 1.67517i | −0.291610 | + | 0.291610i | ||||
\(34\) | −5.44939 | − | 7.24377i | −0.934562 | − | 1.24230i | ||||
\(35\) | −0.449607 | −0.0759974 | ||||||||
\(36\) | −6.48589 | + | 2.68654i | −1.08098 | + | 0.447757i | ||||
\(37\) | −0.238007 | − | 0.0473425i | −0.0391281 | − | 0.00778306i | 0.175487 | − | 0.984482i | \(-0.443850\pi\) |
−0.214616 | + | 0.976699i | \(0.568850\pi\) | |||||||
\(38\) | 7.38462 | + | 7.38462i | 1.19794 | + | 1.19794i | ||||
\(39\) | 0.0793485 | − | 2.60460i | 0.0127059 | − | 0.417069i | ||||
\(40\) | 0.685548 | + | 0.458068i | 0.108395 | + | 0.0724270i | ||||
\(41\) | 4.19000 | − | 6.27078i | 0.654368 | − | 0.979331i | −0.344805 | − | 0.938674i | \(-0.612055\pi\) |
0.999173 | − | 0.0406564i | \(-0.0129449\pi\) | |||||||
\(42\) | −1.46670 | − | 0.607528i | −0.226317 | − | 0.0937436i | ||||
\(43\) | 7.38373 | + | 3.05844i | 1.12601 | + | 0.466408i | 0.866422 | − | 0.499312i | \(-0.166414\pi\) |
0.259586 | + | 0.965720i | \(0.416414\pi\) | |||||||
\(44\) | −7.72253 | − | 5.16003i | −1.16422 | − | 0.777904i | ||||
\(45\) | 0.217512 | + | 1.09351i | 0.0324248 | + | 0.163011i | ||||
\(46\) | −8.72552 | + | 5.83021i | −1.28651 | + | 0.859617i | ||||
\(47\) | − | 0.215085i | − | 0.0313734i | −0.999877 | − | 0.0156867i | \(-0.995007\pi\) | ||
0.999877 | − | 0.0156867i | \(-0.00499344\pi\) | |||||||
\(48\) | −0.657932 | − | 0.984665i | −0.0949643 | − | 0.142124i | ||||
\(49\) | −2.29675 | − | 5.54485i | −0.328108 | − | 0.792122i | ||||
\(50\) | −7.45809 | + | 7.45809i | −1.05473 | + | 1.05473i | ||||
\(51\) | −2.97520 | + | 0.166528i | −0.416611 | + | 0.0233186i | ||||
\(52\) | 10.0758 | − | 1.68701i | 1.39726 | − | 0.233947i | ||||
\(53\) | 1.26863 | + | 3.06274i | 0.174259 | + | 0.420699i | 0.986744 | − | 0.162283i | \(-0.0518857\pi\) |
−0.812485 | + | 0.582982i | \(0.801886\pi\) | |||||||
\(54\) | −1.69797 | + | 8.53626i | −0.231064 | + | 1.16164i | ||||
\(55\) | −1.04302 | + | 1.04302i | −0.140641 | + | 0.140641i | ||||
\(56\) | 0.357152 | − | 1.79552i | 0.0477264 | − | 0.239937i | ||||
\(57\) | 3.36714 | − | 0.669765i | 0.445988 | − | 0.0887125i | ||||
\(58\) | 5.70131 | − | 8.53262i | 0.748619 | − | 1.12039i | ||||
\(59\) | 4.28158 | + | 10.3366i | 0.557414 | + | 1.34572i | 0.911807 | + | 0.410620i | \(0.134688\pi\) |
−0.354392 | + | 0.935097i | \(0.615312\pi\) | |||||||
\(60\) | 0.851333 | − | 0.352634i | 0.109907 | − | 0.0455248i | ||||
\(61\) | 0.651639 | + | 3.27601i | 0.0834338 | + | 0.419450i | 0.999817 | + | 0.0191472i | \(0.00609512\pi\) |
−0.916383 | + | 0.400303i | \(0.868905\pi\) | |||||||
\(62\) | −9.11677 | − | 6.09163i | −1.15783 | − | 0.773638i | ||||
\(63\) | 2.05835 | − | 1.37535i | 0.259328 | − | 0.173278i | ||||
\(64\) | 8.97975 | − | 8.97975i | 1.12247 | − | 1.12247i | ||||
\(65\) | 0.0494051 | − | 1.62171i | 0.00612795 | − | 0.201149i | ||||
\(66\) | −4.81189 | + | 1.99315i | −0.592303 | + | 0.245340i | ||||
\(67\) | −0.454653 | − | 0.454653i | −0.0555448 | − | 0.0555448i | 0.678789 | − | 0.734334i | \(-0.262505\pi\) |
−0.734334 | + | 0.678789i | \(0.762505\pi\) | |||||||
\(68\) | −2.91590 | − | 11.3127i | −0.353605 | − | 1.37187i | ||||
\(69\) | 3.44976i | 0.415302i | ||||||||
\(70\) | −0.913220 | − | 0.378268i | −0.109151 | − | 0.0452117i | ||||
\(71\) | 0.822856 | − | 4.13678i | 0.0976551 | − | 0.490945i | −0.900742 | − | 0.434354i | \(-0.856977\pi\) |
0.998397 | − | 0.0565914i | \(-0.0180232\pi\) | |||||||
\(72\) | −4.53975 | −0.535015 | ||||||||
\(73\) | 2.40638 | + | 3.60140i | 0.281645 | + | 0.421512i | 0.945138 | − | 0.326670i | \(-0.105927\pi\) |
−0.663493 | + | 0.748183i | \(0.730927\pi\) | |||||||
\(74\) | −0.443597 | − | 0.296402i | −0.0515671 | − | 0.0344560i | ||||
\(75\) | 0.676429 | + | 3.40064i | 0.0781072 | + | 0.392672i | ||||
\(76\) | 5.15069 | + | 12.4349i | 0.590825 | + | 1.42638i | ||||
\(77\) | 3.02585 | + | 1.25335i | 0.344828 | + | 0.142832i | ||||
\(78\) | 2.35250 | − | 5.22357i | 0.266368 | − | 0.591453i | ||||
\(79\) | 1.73519 | − | 2.59689i | 0.195224 | − | 0.292173i | −0.720924 | − | 0.693014i | \(-0.756282\pi\) |
0.916147 | + | 0.400842i | \(0.131282\pi\) | |||||||
\(80\) | −0.409651 | − | 0.613086i | −0.0458004 | − | 0.0685451i | ||||
\(81\) | −3.23282 | − | 3.23282i | −0.359202 | − | 0.359202i | ||||
\(82\) | 13.7863 | − | 9.21172i | 1.52244 | − | 1.01726i | ||||
\(83\) | −1.51450 | + | 3.65632i | −0.166238 | + | 0.401333i | −0.984943 | − | 0.172881i | \(-0.944692\pi\) |
0.818705 | + | 0.574214i | \(0.194692\pi\) | |||||||
\(84\) | −1.44675 | − | 1.44675i | −0.157854 | − | 0.157854i | ||||
\(85\) | −1.85246 | + | 0.103686i | −0.200928 | + | 0.0112463i | ||||
\(86\) | 12.4243 | + | 12.4243i | 1.33975 | + | 1.33975i | ||||
\(87\) | −1.29098 | − | 3.11670i | −0.138407 | − | 0.334145i | ||||
\(88\) | −3.33680 | − | 4.99387i | −0.355704 | − | 0.532348i | ||||
\(89\) | 8.30248 | 0.880061 | 0.440031 | − | 0.897983i | \(-0.354968\pi\) | ||||
0.440031 | + | 0.897983i | \(0.354968\pi\) | |||||||
\(90\) | −0.478201 | + | 2.40408i | −0.0504068 | + | 0.253412i | ||||
\(91\) | −3.36869 | + | 1.27662i | −0.353135 | + | 0.133826i | ||||
\(92\) | −13.2648 | + | 2.63854i | −1.38296 | + | 0.275087i | ||||
\(93\) | −3.33007 | + | 1.37936i | −0.345312 | + | 0.143033i | ||||
\(94\) | 0.180958 | − | 0.436871i | 0.0186644 | − | 0.0450598i | ||||
\(95\) | 2.09650 | − | 0.417019i | 0.215096 | − | 0.0427852i | ||||
\(96\) | −1.02461 | − | 5.15108i | −0.104574 | − | 0.525730i | ||||
\(97\) | 9.39646 | + | 14.0628i | 0.954066 | + | 1.42786i | 0.903232 | + | 0.429153i | \(0.141188\pi\) |
0.0508337 | + | 0.998707i | \(0.483812\pi\) | |||||||
\(98\) | − | 13.1948i | − | 1.33287i | ||||||
\(99\) | 1.58447 | − | 7.96566i | 0.159245 | − | 0.800578i | ||||
\(100\) | −12.5586 | + | 5.20194i | −1.25586 | + | 0.520194i | ||||
\(101\) | −12.7732 | −1.27098 | −0.635490 | − | 0.772109i | \(-0.719202\pi\) | ||||
−0.635490 | + | 0.772109i | \(0.719202\pi\) | |||||||
\(102\) | −6.18318 | − | 2.16488i | −0.612226 | − | 0.214355i | ||||
\(103\) | 12.8852i | 1.26961i | 0.772671 | + | 0.634807i | \(0.218920\pi\) | ||||
−0.772671 | + | 0.634807i | \(0.781080\pi\) | |||||||
\(104\) | 6.43713 | + | 1.48553i | 0.631212 | + | 0.145668i | ||||
\(105\) | −0.270178 | + | 0.180527i | −0.0263667 | + | 0.0176176i | ||||
\(106\) | 7.28822i | 0.707894i | ||||||||
\(107\) | −15.7369 | − | 3.13027i | −1.52135 | − | 0.302614i | −0.637521 | − | 0.770433i | \(-0.720040\pi\) |
−0.883824 | + | 0.467819i | \(0.845040\pi\) | |||||||
\(108\) | −6.23183 | + | 9.32659i | −0.599658 | + | 0.897452i | ||||
\(109\) | 9.59018 | − | 14.3527i | 0.918572 | − | 1.37474i | −0.00854275 | − | 0.999964i | \(-0.502719\pi\) |
0.927115 | − | 0.374777i | \(-0.122281\pi\) | |||||||
\(110\) | −2.99605 | + | 1.24101i | −0.285662 | + | 0.118325i | ||||
\(111\) | −0.162032 | + | 0.0671159i | −0.0153794 | + | 0.00637036i | ||||
\(112\) | −0.909578 | + | 1.36128i | −0.0859470 | + | 0.128629i | ||||
\(113\) | −2.43822 | + | 3.64905i | −0.229368 | + | 0.343273i | −0.928246 | − | 0.371968i | \(-0.878683\pi\) |
0.698878 | + | 0.715241i | \(0.253683\pi\) | |||||||
\(114\) | 7.40266 | + | 1.47248i | 0.693322 | + | 0.137910i | ||||
\(115\) | 2.14794i | 0.200296i | ||||||||
\(116\) | 10.9968 | − | 7.34781i | 1.02102 | − | 0.682227i | ||||
\(117\) | 4.73464 | + | 7.57552i | 0.437717 | + | 0.700357i | ||||
\(118\) | 24.5975i | 2.26439i | ||||||||
\(119\) | 1.78673 | + | 3.71195i | 0.163789 | + | 0.340274i | ||||
\(120\) | 0.595884 | 0.0543965 | ||||||||
\(121\) | −0.235588 | + | 0.0975836i | −0.0214171 | + | 0.00887123i | ||||
\(122\) | −1.43263 | + | 7.20232i | −0.129704 | + | 0.652067i | ||||
\(123\) | − | 5.45061i | − | 0.491465i | ||||||
\(124\) | −7.85085 | − | 11.7496i | −0.705027 | − | 1.05515i | ||||
\(125\) | 0.860112 | + | 4.32408i | 0.0769308 | + | 0.386757i | ||||
\(126\) | 5.33795 | − | 1.06178i | 0.475542 | − | 0.0945913i | ||||
\(127\) | −0.352611 | + | 0.851278i | −0.0312892 | + | 0.0755387i | −0.938752 | − | 0.344594i | \(-0.888017\pi\) |
0.907463 | + | 0.420133i | \(0.138017\pi\) | |||||||
\(128\) | 12.3665 | − | 5.12239i | 1.09306 | − | 0.452759i | ||||
\(129\) | 5.66506 | − | 1.12685i | 0.498781 | − | 0.0992137i | ||||
\(130\) | 1.46475 | − | 3.25238i | 0.128467 | − | 0.285252i | ||||
\(131\) | −0.379560 | + | 1.90818i | −0.0331623 | + | 0.166718i | −0.993818 | − | 0.111025i | \(-0.964587\pi\) |
0.960655 | + | 0.277743i | \(0.0895865\pi\) | |||||||
\(132\) | −6.71249 | −0.584247 | ||||||||
\(133\) | −2.63684 | − | 3.94632i | −0.228643 | − | 0.342189i | ||||
\(134\) | −0.540956 | − | 1.30598i | −0.0467315 | − | 0.112820i | ||||
\(135\) | 1.25967 | + | 1.25967i | 0.108415 | + | 0.108415i | ||||
\(136\) | 1.05745 | − | 7.48023i | 0.0906759 | − | 0.641425i | ||||
\(137\) | −9.30337 | − | 9.30337i | −0.794841 | − | 0.794841i | 0.187436 | − | 0.982277i | \(-0.439982\pi\) |
−0.982277 | + | 0.187436i | \(0.939982\pi\) | |||||||
\(138\) | −2.90239 | + | 7.00698i | −0.247068 | + | 0.596474i | ||||
\(139\) | 1.78993 | − | 1.19599i | 0.151820 | − | 0.101443i | −0.477340 | − | 0.878719i | \(-0.658399\pi\) |
0.629160 | + | 0.777276i | \(0.283399\pi\) | |||||||
\(140\) | −0.900799 | − | 0.900799i | −0.0761314 | − | 0.0761314i | ||||
\(141\) | −0.0863614 | − | 0.129249i | −0.00727295 | − | 0.0108847i | ||||
\(142\) | 5.15174 | − | 7.71013i | 0.432325 | − | 0.647020i | ||||
\(143\) | −4.85327 | + | 10.7764i | −0.405851 | + | 0.901168i | ||||
\(144\) | 3.75086 | + | 1.55366i | 0.312572 | + | 0.129472i | ||||
\(145\) | −0.803808 | − | 1.94056i | −0.0667526 | − | 0.161155i | ||||
\(146\) | 1.85775 | + | 9.33955i | 0.153749 | + | 0.772947i | ||||
\(147\) | −3.60655 | − | 2.40982i | −0.297463 | − | 0.198758i | ||||
\(148\) | −0.382001 | − | 0.571705i | −0.0314003 | − | 0.0469938i | ||||
\(149\) | 7.09519 | 0.581260 | 0.290630 | − | 0.956835i | \(-0.406135\pi\) | ||||
0.290630 | + | 0.956835i | \(0.406135\pi\) | |||||||
\(150\) | −1.48713 | + | 7.47631i | −0.121424 | + | 0.610438i | ||||
\(151\) | 10.2430 | + | 4.24280i | 0.833565 | + | 0.345274i | 0.758313 | − | 0.651891i | \(-0.226024\pi\) |
0.0752521 | + | 0.997165i | \(0.476024\pi\) | |||||||
\(152\) | 8.70370i | 0.705963i | ||||||||
\(153\) | 8.16361 | − | 6.14137i | 0.659988 | − | 0.496500i | ||||
\(154\) | 5.09149 | + | 5.09149i | 0.410284 | + | 0.410284i | ||||
\(155\) | −2.07342 | + | 0.858838i | −0.166541 | + | 0.0689835i | ||||
\(156\) | 5.37736 | − | 5.05940i | 0.430533 | − | 0.405076i | ||||
\(157\) | 14.7151 | − | 14.7151i | 1.17439 | − | 1.17439i | 0.193241 | − | 0.981151i | \(-0.438100\pi\) |
0.981151 | − | 0.193241i | \(-0.0619000\pi\) | |||||||
\(158\) | 5.70927 | − | 3.81481i | 0.454205 | − | 0.303490i | ||||
\(159\) | 1.99210 | + | 1.33108i | 0.157984 | + | 0.105561i | ||||
\(160\) | −0.637960 | − | 3.20724i | −0.0504352 | − | 0.253555i | ||||
\(161\) | 4.40619 | − | 1.82510i | 0.347256 | − | 0.143838i | ||||
\(162\) | −3.84648 | − | 9.28622i | −0.302208 | − | 0.729594i | ||||
\(163\) | −4.10614 | + | 6.14527i | −0.321618 | + | 0.481335i | −0.956686 | − | 0.291121i | \(-0.905972\pi\) |
0.635069 | + | 0.772456i | \(0.280972\pi\) | |||||||
\(164\) | 20.9584 | − | 4.16889i | 1.63658 | − | 0.325536i | ||||
\(165\) | −0.207976 | + | 1.04557i | −0.0161909 | + | 0.0813972i | ||||
\(166\) | −6.15235 | + | 6.15235i | −0.477515 | + | 0.477515i | ||||
\(167\) | 1.11760 | − | 5.61853i | 0.0864821 | − | 0.434775i | −0.913149 | − | 0.407625i | \(-0.866357\pi\) |
0.999631 | − | 0.0271496i | \(-0.00864305\pi\) | |||||||
\(168\) | −0.506322 | − | 1.22237i | −0.0390636 | − | 0.0943079i | ||||
\(169\) | −4.23455 | − | 12.2910i | −0.325734 | − | 0.945461i | ||||
\(170\) | −3.84986 | − | 1.34793i | −0.295271 | − | 0.103381i | ||||
\(171\) | −8.32234 | + | 8.32234i | −0.636425 | + | 0.636425i | ||||
\(172\) | 8.66583 | + | 20.9212i | 0.660763 | + | 1.59522i | ||||
\(173\) | −10.2636 | − | 15.3606i | −0.780327 | − | 1.16784i | −0.982091 | − | 0.188408i | \(-0.939667\pi\) |
0.201764 | − | 0.979434i | \(-0.435333\pi\) | |||||||
\(174\) | − | 7.41662i | − | 0.562253i | ||||||
\(175\) | 3.98558 | − | 2.66308i | 0.301281 | − | 0.201310i | ||||
\(176\) | 1.04788 | + | 5.26804i | 0.0789867 | + | 0.397093i | ||||
\(177\) | 6.72328 | + | 4.49235i | 0.505353 | + | 0.337666i | ||||
\(178\) | 16.8636 | + | 6.98513i | 1.26398 | + | 0.523558i | ||||
\(179\) | −16.4055 | − | 6.79536i | −1.22620 | − | 0.507909i | −0.326825 | − | 0.945085i | \(-0.605979\pi\) |
−0.899376 | + | 0.437175i | \(0.855979\pi\) | |||||||
\(180\) | −1.75508 | + | 2.62666i | −0.130816 | + | 0.195780i | ||||
\(181\) | 0.134680 | + | 0.0899905i | 0.0100107 | + | 0.00668894i | 0.560566 | − | 0.828110i | \(-0.310584\pi\) |
−0.550555 | + | 0.834799i | \(0.685584\pi\) | |||||||
\(182\) | −7.91638 | − | 0.241171i | −0.586801 | − | 0.0178768i | ||||
\(183\) | 1.70697 | + | 1.70697i | 0.126183 | + | 0.126183i | ||||
\(184\) | −8.57787 | − | 1.70624i | −0.632369 | − | 0.125786i | ||||
\(185\) | −0.100887 | + | 0.0417887i | −0.00741735 | + | 0.00307236i | ||||
\(186\) | −7.92438 | −0.581043 | ||||||||
\(187\) | 12.7561 | + | 4.46622i | 0.932818 | + | 0.326602i | ||||
\(188\) | 0.430929 | − | 0.430929i | 0.0314287 | − | 0.0314287i | ||||
\(189\) | 1.51369 | − | 3.65436i | 0.110104 | − | 0.265816i | ||||
\(190\) | 4.60915 | + | 0.916817i | 0.334383 | + | 0.0665129i | ||||
\(191\) | −7.34867 | + | 7.34867i | −0.531731 | + | 0.531731i | −0.921087 | − | 0.389356i | \(-0.872698\pi\) |
0.389356 | + | 0.921087i | \(0.372698\pi\) | |||||||
\(192\) | 1.79055 | − | 9.00168i | 0.129221 | − | 0.649640i | ||||
\(193\) | −5.25826 | − | 26.4351i | −0.378498 | − | 1.90284i | −0.427456 | − | 0.904036i | \(-0.640590\pi\) |
0.0489586 | − | 0.998801i | \(-0.484410\pi\) | |||||||
\(194\) | 7.25417 | + | 36.4692i | 0.520819 | + | 2.61833i | ||||
\(195\) | −0.621465 | − | 0.994357i | −0.0445040 | − | 0.0712074i | ||||
\(196\) | 6.50765 | − | 15.7109i | 0.464832 | − | 1.12220i | ||||
\(197\) | 17.6035 | + | 11.7623i | 1.25420 | + | 0.838028i | 0.991908 | − | 0.126961i | \(-0.0405222\pi\) |
0.262290 | + | 0.964989i | \(0.415522\pi\) | |||||||
\(198\) | 9.92004 | − | 14.8464i | 0.704987 | − | 1.05509i | ||||
\(199\) | 10.9340 | + | 2.17491i | 0.775092 | + | 0.154175i | 0.566760 | − | 0.823883i | \(-0.308197\pi\) |
0.208332 | + | 0.978058i | \(0.433197\pi\) | |||||||
\(200\) | −8.79029 | −0.621567 | ||||||||
\(201\) | −0.455764 | − | 0.0906571i | −0.0321471 | − | 0.00639446i | ||||
\(202\) | −25.9443 | − | 10.7465i | −1.82543 | − | 0.756120i | ||||
\(203\) | −3.29779 | + | 3.29779i | −0.231460 | + | 0.231460i | ||||
\(204\) | −6.29453 | − | 5.62724i | −0.440705 | − | 0.393986i | ||||
\(205\) | − | 3.39374i | − | 0.237029i | ||||||
\(206\) | −10.8407 | + | 26.1717i | −0.755307 | + | 1.82347i | ||||
\(207\) | −6.57055 | − | 9.83352i | −0.456684 | − | 0.683477i | ||||
\(208\) | −4.81013 | − | 3.43039i | −0.333522 | − | 0.237855i | ||||
\(209\) | −15.2719 | − | 3.03777i | −1.05638 | − | 0.210127i | ||||
\(210\) | −0.700655 | + | 0.139369i | −0.0483498 | + | 0.00961737i | ||||
\(211\) | −15.7028 | + | 3.12349i | −1.08103 | + | 0.215030i | −0.703304 | − | 0.710889i | \(-0.748293\pi\) |
−0.377723 | + | 0.925919i | \(0.623293\pi\) | |||||||
\(212\) | −3.59455 | + | 8.67800i | −0.246874 | + | 0.596008i | ||||
\(213\) | −1.16654 | − | 2.81627i | −0.0799298 | − | 0.192968i | ||||
\(214\) | −29.3305 | − | 19.5980i | −2.00499 | − | 1.33969i | ||||
\(215\) | 3.52726 | − | 0.701617i | 0.240557 | − | 0.0478499i | ||||
\(216\) | −6.03116 | + | 4.02989i | −0.410368 | + | 0.274199i | ||||
\(217\) | 3.52356 | + | 3.52356i | 0.239195 | + | 0.239195i | ||||
\(218\) | 31.5545 | − | 21.0840i | 2.13714 | − | 1.42799i | ||||
\(219\) | 2.89208 | + | 1.19794i | 0.195429 | + | 0.0809493i | ||||
\(220\) | −4.17943 | −0.281777 | ||||||||
\(221\) | −13.5852 | + | 6.03677i | −0.913839 | + | 0.406077i | ||||
\(222\) | −0.385578 | −0.0258783 | ||||||||
\(223\) | −19.5565 | − | 8.10056i | −1.30960 | − | 0.542453i | −0.384831 | − | 0.922987i | \(-0.625740\pi\) |
−0.924767 | + | 0.380534i | \(0.875740\pi\) | |||||||
\(224\) | −6.03712 | + | 4.03387i | −0.403372 | + | 0.269524i | ||||
\(225\) | −8.40514 | − | 8.40514i | −0.560343 | − | 0.560343i | ||||
\(226\) | −8.02244 | + | 5.36042i | −0.533645 | + | 0.356570i | ||||
\(227\) | −27.5875 | + | 5.48750i | −1.83105 | + | 0.364218i | −0.985499 | − | 0.169682i | \(-0.945726\pi\) |
−0.845548 | + | 0.533900i | \(0.820726\pi\) | |||||||
\(228\) | 8.08803 | + | 5.40425i | 0.535643 | + | 0.357905i | ||||
\(229\) | −5.40581 | − | 13.0508i | −0.357226 | − | 0.862420i | −0.995688 | − | 0.0927666i | \(-0.970429\pi\) |
0.638462 | − | 0.769654i | \(-0.279571\pi\) | |||||||
\(230\) | −1.80713 | + | 4.36279i | −0.119158 | + | 0.287674i | ||||
\(231\) | 2.32154 | − | 0.461784i | 0.152746 | − | 0.0303831i | ||||
\(232\) | 8.38823 | − | 1.66852i | 0.550714 | − | 0.109544i | ||||
\(233\) | −29.2995 | − | 5.82804i | −1.91948 | − | 0.381808i | −0.919540 | − | 0.392997i | \(-0.871438\pi\) |
−0.999937 | + | 0.0111891i | \(0.996438\pi\) | |||||||
\(234\) | 3.24325 | + | 19.3704i | 0.212018 | + | 1.26628i | ||||
\(235\) | −0.0537716 | − | 0.0804749i | −0.00350767 | − | 0.00524961i | ||||
\(236\) | −12.1315 | + | 29.2880i | −0.789692 | + | 1.90649i | ||||
\(237\) | − | 2.25724i | − | 0.146623i | ||||||
\(238\) | 0.506143 | + | 9.04277i | 0.0328084 | + | 0.586156i | ||||
\(239\) | 9.93282 | − | 9.93282i | 0.642501 | − | 0.642501i | −0.308669 | − | 0.951170i | \(-0.599883\pi\) |
0.951170 | + | 0.308669i | \(0.0998835\pi\) | |||||||
\(240\) | −0.492335 | − | 0.203932i | −0.0317801 | − | 0.0131638i | ||||
\(241\) | 7.46736 | + | 1.48535i | 0.481015 | + | 0.0956798i | 0.429641 | − | 0.903000i | \(-0.358640\pi\) |
0.0513737 | + | 0.998679i | \(0.483640\pi\) | |||||||
\(242\) | −0.560614 | −0.0360376 | ||||||||
\(243\) | −14.8890 | − | 2.96161i | −0.955130 | − | 0.189987i | ||||
\(244\) | −5.25800 | + | 7.86915i | −0.336609 | + | 0.503771i | ||||
\(245\) | −2.24556 | − | 1.50044i | −0.143464 | − | 0.0958593i | ||||
\(246\) | 4.58577 | − | 11.0710i | 0.292378 | − | 0.705862i | ||||
\(247\) | 14.5239 | − | 9.07734i | 0.924136 | − | 0.577577i | ||||
\(248\) | −1.78275 | − | 8.96250i | −0.113205 | − | 0.569119i | ||||
\(249\) | 0.558001 | + | 2.80526i | 0.0353619 | + | 0.177776i | ||||
\(250\) | −1.89096 | + | 9.50649i | −0.119595 | + | 0.601243i | ||||
\(251\) | −0.387464 | + | 0.387464i | −0.0244565 | + | 0.0244565i | −0.719229 | − | 0.694773i | \(-0.755505\pi\) |
0.694773 | + | 0.719229i | \(0.255505\pi\) | |||||||
\(252\) | 6.87951 | + | 1.36842i | 0.433368 | + | 0.0862023i | ||||
\(253\) | 5.98771 | − | 14.4556i | 0.376444 | − | 0.908817i | ||||
\(254\) | −1.43241 | + | 1.43241i | −0.0898776 | + | 0.0898776i | ||||
\(255\) | −1.07155 | + | 0.806111i | −0.0671030 | + | 0.0504806i | ||||
\(256\) | 4.02937 | 0.251836 | ||||||||
\(257\) | 5.97068 | − | 2.47314i | 0.372441 | − | 0.154270i | −0.188609 | − | 0.982052i | \(-0.560398\pi\) |
0.561049 | + | 0.827782i | \(0.310398\pi\) | |||||||
\(258\) | 12.4547 | + | 2.47739i | 0.775393 | + | 0.154235i | ||||
\(259\) | 0.171447 | + | 0.171447i | 0.0106532 | + | 0.0106532i | ||||
\(260\) | 3.34813 | − | 3.15016i | 0.207642 | − | 0.195365i | ||||
\(261\) | 9.61611 | + | 6.42528i | 0.595222 | + | 0.397715i | ||||
\(262\) | −2.37635 | + | 3.55646i | −0.146811 | + | 0.219719i | ||||
\(263\) | 3.29098 | + | 1.36317i | 0.202930 | + | 0.0840565i | 0.481834 | − | 0.876263i | \(-0.339971\pi\) |
−0.278903 | + | 0.960319i | \(0.589971\pi\) | |||||||
\(264\) | −4.01030 | − | 1.66112i | −0.246817 | − | 0.102235i | ||||
\(265\) | 1.24035 | + | 0.828776i | 0.0761941 | + | 0.0509113i | ||||
\(266\) | −2.03567 | − | 10.2340i | −0.124815 | − | 0.627488i | ||||
\(267\) | 4.98913 | − | 3.33363i | 0.305330 | − | 0.204015i | ||||
\(268\) | − | 1.82182i | − | 0.111285i | ||||||
\(269\) | −1.77262 | − | 2.65292i | −0.108079 | − | 0.161751i | 0.773488 | − | 0.633811i | \(-0.218511\pi\) |
−0.881566 | + | 0.472060i | \(0.843511\pi\) | |||||||
\(270\) | 1.49878 | + | 3.61837i | 0.0912127 | + | 0.220207i | ||||
\(271\) | 19.2230 | − | 19.2230i | 1.16771 | − | 1.16771i | 0.184967 | − | 0.982745i | \(-0.440782\pi\) |
0.982745 | − | 0.184967i | \(-0.0592179\pi\) | |||||||
\(272\) | −3.43369 | + | 5.81847i | −0.208198 | + | 0.352797i | ||||
\(273\) | −1.51172 | + | 2.11975i | −0.0914936 | + | 0.128293i | ||||
\(274\) | −11.0693 | − | 26.7238i | −0.668724 | − | 1.61444i | ||||
\(275\) | 3.06800 | − | 15.4239i | 0.185007 | − | 0.930093i | ||||
\(276\) | −6.91168 | + | 6.91168i | −0.416034 | + | 0.416034i | ||||
\(277\) | 1.08693 | − | 5.46439i | 0.0653076 | − | 0.328323i | −0.934295 | − | 0.356500i | \(-0.883970\pi\) |
0.999603 | + | 0.0281764i | \(0.00897003\pi\) | |||||||
\(278\) | 4.64184 | − | 0.923320i | 0.278399 | − | 0.0553771i | ||||
\(279\) | 6.86516 | − | 10.2744i | 0.411007 | − | 0.615115i | ||||
\(280\) | −0.315254 | − | 0.761090i | −0.0188400 | − | 0.0454838i | ||||
\(281\) | −11.7555 | + | 4.86931i | −0.701277 | + | 0.290478i | −0.704690 | − | 0.709516i | \(-0.748914\pi\) |
0.00341259 | + | 0.999994i | \(0.498914\pi\) | |||||||
\(282\) | −0.0666720 | − | 0.335183i | −0.00397026 | − | 0.0199599i | ||||
\(283\) | 13.1360 | + | 8.77719i | 0.780853 | + | 0.521750i | 0.880939 | − | 0.473229i | \(-0.156912\pi\) |
−0.100086 | + | 0.994979i | \(0.531912\pi\) | |||||||
\(284\) | 9.93676 | − | 6.63953i | 0.589638 | − | 0.393983i | ||||
\(285\) | 1.09238 | − | 1.09238i | 0.0647072 | − | 0.0647072i | ||||
\(286\) | −18.9242 | + | 17.8053i | −1.11901 | + | 1.05285i | ||||
\(287\) | −6.96177 | + | 2.88366i | −0.410940 | + | 0.170217i | ||||
\(288\) | 12.7316 | + | 12.7316i | 0.750217 | + | 0.750217i | ||||
\(289\) | 8.21768 | + | 14.8819i | 0.483393 | + | 0.875403i | ||||
\(290\) | − | 4.61785i | − | 0.271169i | ||||||
\(291\) | 11.2930 | + | 4.67773i | 0.662010 | + | 0.274213i | ||||
\(292\) | −2.39426 | + | 12.0367i | −0.140113 | + | 0.704397i | ||||
\(293\) | 9.74506 | 0.569312 | 0.284656 | − | 0.958630i | \(-0.408121\pi\) | ||||
0.284656 | + | 0.958630i | \(0.408121\pi\) | |||||||
\(294\) | −5.29799 | − | 7.92900i | −0.308985 | − | 0.462429i | ||||
\(295\) | 4.18615 | + | 2.79709i | 0.243727 | + | 0.162853i | ||||
\(296\) | −0.0867438 | − | 0.436091i | −0.00504188 | − | 0.0253473i | ||||
\(297\) | −4.96603 | − | 11.9891i | −0.288158 | − | 0.695676i | ||||
\(298\) | 14.4114 | + | 5.96940i | 0.834830 | + | 0.345798i | ||||
\(299\) | 6.09889 | + | 16.0935i | 0.352708 | + | 0.930710i | ||||
\(300\) | −5.45802 | + | 8.16850i | −0.315119 | + | 0.471609i | ||||
\(301\) | −4.43638 | − | 6.63951i | −0.255709 | − | 0.382695i | ||||
\(302\) | 17.2355 | + | 17.2355i | 0.991793 | + | 0.991793i | ||||
\(303\) | −7.67567 | + | 5.12872i | −0.440956 | + | 0.294637i | ||||
\(304\) | 2.97870 | − | 7.19123i | 0.170840 | − | 0.412445i | ||||
\(305\) | 1.06282 | + | 1.06282i | 0.0608569 | + | 0.0608569i | ||||
\(306\) | 21.7484 | − | 5.60575i | 1.24328 | − | 0.320459i | ||||
\(307\) | −9.22708 | − | 9.22708i | −0.526617 | − | 0.526617i | 0.392945 | − | 0.919562i | \(-0.371456\pi\) |
−0.919562 | + | 0.392945i | \(0.871456\pi\) | |||||||
\(308\) | 3.55126 | + | 8.57349i | 0.202352 | + | 0.488520i | ||||
\(309\) | 5.17368 | + | 7.74296i | 0.294320 | + | 0.440482i | ||||
\(310\) | −4.93399 | −0.280232 | ||||||||
\(311\) | −5.73956 | + | 28.8547i | −0.325461 | + | 1.63620i | 0.378242 | + | 0.925707i | \(0.376529\pi\) |
−0.703703 | + | 0.710495i | \(0.748471\pi\) | |||||||
\(312\) | 4.46467 | − | 1.69196i | 0.252762 | − | 0.0957885i | ||||
\(313\) | 23.7999 | − | 4.73409i | 1.34525 | − | 0.267587i | 0.530640 | − | 0.847597i | \(-0.321952\pi\) |
0.814609 | + | 0.580011i | \(0.196952\pi\) | |||||||
\(314\) | 42.2688 | − | 17.5083i | 2.38537 | − | 0.988052i | ||||
\(315\) | 0.426302 | − | 1.02918i | 0.0240194 | − | 0.0579879i | ||||
\(316\) | 8.67943 | − | 1.72645i | 0.488256 | − | 0.0971201i | ||||
\(317\) | 3.82360 | + | 19.2225i | 0.214755 | + | 1.07965i | 0.926237 | + | 0.376942i | \(0.123024\pi\) |
−0.711482 | + | 0.702704i | \(0.751976\pi\) | |||||||
\(318\) | 2.92638 | + | 4.37964i | 0.164103 | + | 0.245598i | ||||
\(319\) | 15.3007i | 0.856676i | ||||||||
\(320\) | 1.11486 | − | 5.60476i | 0.0623223 | − | 0.313315i | ||||
\(321\) | −10.7135 | + | 4.43768i | −0.597969 | + | 0.247687i | ||||
\(322\) | 10.4851 | 0.584314 | ||||||||
\(323\) | −11.7743 | − | 15.6514i | −0.655142 | − | 0.870869i | ||||
\(324\) | − | 12.9541i | − | 0.719671i | ||||||
\(325\) | 9.16765 | + | 14.6684i | 0.508530 | + | 0.813659i | ||||
\(326\) | −13.5104 | + | 9.02736i | −0.748272 | + | 0.499979i | ||||
\(327\) | − | 12.4755i | − | 0.689897i | ||||||
\(328\) | 13.5530 | + | 2.69586i | 0.748341 | + | 0.148854i | ||||
\(329\) | −0.119393 | + | 0.178684i | −0.00658235 | + | 0.00985118i | ||||
\(330\) | −1.30210 | + | 1.94873i | −0.0716781 | + | 0.107274i | ||||
\(331\) | −14.4109 | + | 5.96919i | −0.792095 | + | 0.328096i | −0.741785 | − | 0.670637i | \(-0.766021\pi\) |
−0.0503094 | + | 0.998734i | \(0.516021\pi\) | |||||||
\(332\) | −10.3599 | + | 4.29120i | −0.568571 | + | 0.235510i | ||||
\(333\) | 0.334040 | − | 0.499926i | 0.0183053 | − | 0.0273958i | ||||
\(334\) | 6.99705 | − | 10.4718i | 0.382861 | − | 0.572993i | ||||
\(335\) | −0.283774 | − | 0.0564462i | −0.0155042 | − | 0.00308399i | ||||
\(336\) | 1.18324i | 0.0645508i | ||||||||
\(337\) | −19.2955 | + | 12.8928i | −1.05109 | + | 0.702317i | −0.956064 | − | 0.293157i | \(-0.905294\pi\) |
−0.0950277 | + | 0.995475i | \(0.530294\pi\) | |||||||
\(338\) | 1.73979 | − | 28.5275i | 0.0946319 | − | 1.55169i | ||||
\(339\) | 3.17178i | 0.172268i | ||||||||
\(340\) | −3.91919 | − | 3.50371i | −0.212548 | − | 0.190016i | ||||
\(341\) | 16.3482 | 0.885307 | ||||||||
\(342\) | −23.9058 | + | 9.90210i | −1.29268 | + | 0.535444i | ||||
\(343\) | −2.53434 | + | 12.7410i | −0.136842 | + | 0.687949i | ||||
\(344\) | 14.6436i | 0.789530i | ||||||||
\(345\) | 0.862445 | + | 1.29074i | 0.0464325 | + | 0.0694911i | ||||
\(346\) | −7.92362 | − | 39.8347i | −0.425976 | − | 2.14153i | ||||
\(347\) | 4.58954 | − | 0.912917i | 0.246380 | − | 0.0490080i | −0.0703555 | − | 0.997522i | \(-0.522413\pi\) |
0.316735 | + | 0.948514i | \(0.397413\pi\) | |||||||
\(348\) | 3.65788 | − | 8.83089i | 0.196083 | − | 0.473385i | ||||
\(349\) | 8.49478 | − | 3.51865i | 0.454715 | − | 0.188349i | −0.143557 | − | 0.989642i | \(-0.545854\pi\) |
0.598272 | + | 0.801293i | \(0.295854\pi\) | |||||||
\(350\) | 10.3358 | − | 2.05593i | 0.552474 | − | 0.109894i | ||||
\(351\) | 13.0148 | + | 5.86136i | 0.694678 | + | 0.312856i | ||||
\(352\) | −4.64722 | + | 23.3631i | −0.247697 | + | 1.24526i | ||||
\(353\) | 0.418283 | 0.0222630 | 0.0111315 | − | 0.999938i | \(-0.496457\pi\) | ||||
0.0111315 | + | 0.999938i | \(0.496457\pi\) | |||||||
\(354\) | 9.87645 | + | 14.7811i | 0.524927 | + | 0.785609i | ||||
\(355\) | −0.726326 | − | 1.75351i | −0.0385494 | − | 0.0930664i | ||||
\(356\) | 16.6342 | + | 16.6342i | 0.881613 | + | 0.881613i | ||||
\(357\) | 2.56411 | + | 1.51318i | 0.135707 | + | 0.0800857i | ||||
\(358\) | −27.6048 | − | 27.6048i | −1.45896 | − | 1.45896i | ||||
\(359\) | 1.14670 | − | 2.76839i | 0.0605207 | − | 0.146110i | −0.890726 | − | 0.454540i | \(-0.849804\pi\) |
0.951247 | + | 0.308430i | \(0.0998036\pi\) | |||||||
\(360\) | −1.69856 | + | 1.13494i | −0.0895222 | + | 0.0598168i | ||||
\(361\) | 2.52073 | + | 2.52073i | 0.132670 | + | 0.132670i | ||||
\(362\) | 0.197844 | + | 0.296095i | 0.0103985 | + | 0.0155624i | ||||
\(363\) | −0.102387 | + | 0.153234i | −0.00537394 | + | 0.00804268i | ||||
\(364\) | −9.30700 | − | 4.19151i | −0.487819 | − | 0.219695i | ||||
\(365\) | 1.80071 | + | 0.745879i | 0.0942536 | + | 0.0390411i | ||||
\(366\) | 2.03099 | + | 4.90325i | 0.106162 | + | 0.256297i | ||||
\(367\) | 4.93764 | + | 24.8232i | 0.257743 | + | 1.29576i | 0.865208 | + | 0.501414i | \(0.167186\pi\) |
−0.607465 | + | 0.794346i | \(0.707814\pi\) | |||||||
\(368\) | 6.50333 | + | 4.34539i | 0.339010 | + | 0.226519i | ||||
\(369\) | 10.3815 | + | 15.5369i | 0.540437 | + | 0.808821i | ||||
\(370\) | −0.240074 | −0.0124809 | ||||||||
\(371\) | 0.646189 | − | 3.24861i | 0.0335484 | − | 0.168659i | ||||
\(372\) | −9.43547 | − | 3.90830i | −0.489206 | − | 0.202636i | ||||
\(373\) | − | 5.74980i | − | 0.297713i | −0.988859 | − | 0.148857i | \(-0.952441\pi\) | ||
0.988859 | − | 0.148857i | \(-0.0475593\pi\) | |||||||
\(374\) | 22.1520 | + | 19.8037i | 1.14545 | + | 1.02402i | ||||
\(375\) | 2.25307 | + | 2.25307i | 0.116348 | + | 0.116348i | ||||
\(376\) | 0.364094 | − | 0.150813i | 0.0187767 | − | 0.00777757i | ||||
\(377\) | −11.5326 | − | 12.2574i | −0.593960 | − | 0.631287i | ||||
\(378\) | 6.14905 | − | 6.14905i | 0.316273 | − | 0.316273i | ||||
\(379\) | 1.57987 | − | 1.05563i | 0.0811523 | − | 0.0542243i | −0.514332 | − | 0.857591i | \(-0.671960\pi\) |
0.595484 | + | 0.803367i | \(0.296960\pi\) | |||||||
\(380\) | 5.03589 | + | 3.36487i | 0.258336 | + | 0.172614i | ||||
\(381\) | 0.129916 | + | 0.653132i | 0.00665580 | + | 0.0334609i | ||||
\(382\) | −21.1089 | + | 8.74361i | −1.08003 | + | 0.447362i | ||||
\(383\) | −6.96251 | − | 16.8090i | −0.355768 | − | 0.858899i | −0.995885 | − | 0.0906224i | \(-0.971114\pi\) |
0.640118 | − | 0.768277i | \(-0.278886\pi\) | |||||||
\(384\) | 5.37455 | − | 8.04359i | 0.274269 | − | 0.410472i | ||||
\(385\) | 1.44547 | − | 0.287523i | 0.0736682 | − | 0.0146535i | ||||
\(386\) | 11.5603 | − | 58.1175i | 0.588404 | − | 2.95810i | ||||
\(387\) | −14.0020 | + | 14.0020i | −0.711761 | + | 0.711761i | ||||
\(388\) | −9.34912 | + | 47.0012i | −0.474630 | + | 2.38612i | ||||
\(389\) | 8.22925 | + | 19.8672i | 0.417239 | + | 1.00731i | 0.983144 | + | 0.182834i | \(0.0585271\pi\) |
−0.565904 | + | 0.824471i | \(0.691473\pi\) | |||||||
\(390\) | −0.425706 | − | 2.54255i | −0.0215565 | − | 0.128747i | ||||
\(391\) | 17.7334 | − | 8.53588i | 0.896815 | − | 0.431678i | ||||
\(392\) | 7.77584 | − | 7.77584i | 0.392739 | − | 0.392739i | ||||
\(393\) | 0.538090 | + | 1.29906i | 0.0271430 | + | 0.0655291i | ||||
\(394\) | 25.8594 | + | 38.7014i | 1.30278 | + | 1.94975i | ||||
\(395\) | − | 1.40544i | − | 0.0707151i | ||||||
\(396\) | 19.1339 | − | 12.7849i | 0.961516 | − | 0.642464i | ||||
\(397\) | 1.79611 | + | 9.02964i | 0.0901440 | + | 0.453185i | 0.999323 | + | 0.0367799i | \(0.0117100\pi\) |
−0.909179 | + | 0.416405i | \(0.863290\pi\) | |||||||
\(398\) | 20.3788 | + | 13.6167i | 1.02150 | + | 0.682543i | ||||
\(399\) | −3.16907 | − | 1.31267i | −0.158652 | − | 0.0657157i | ||||
\(400\) | 7.26278 | + | 3.00834i | 0.363139 | + | 0.150417i | ||||
\(401\) | 13.5887 | − | 20.3369i | 0.678588 | − | 1.01558i | −0.319107 | − | 0.947719i | \(-0.603383\pi\) |
0.997695 | − | 0.0678597i | \(-0.0216170\pi\) | |||||||
\(402\) | −0.849453 | − | 0.567586i | −0.0423669 | − | 0.0283086i | ||||
\(403\) | −13.0965 | + | 12.3221i | −0.652384 | + | 0.613810i | ||||
\(404\) | −25.5914 | − | 25.5914i | −1.27322 | − | 1.27322i | ||||
\(405\) | −2.01778 | − | 0.401362i | −0.100264 | − | 0.0199438i | ||||
\(406\) | −9.47284 | + | 3.92378i | −0.470129 | + | 0.194734i | ||||
\(407\) | 0.795460 | 0.0394295 | ||||||||
\(408\) | −2.36803 | − | 4.91962i | −0.117235 | − | 0.243557i | ||||
\(409\) | 1.09282 | − | 1.09282i | 0.0540363 | − | 0.0540363i | −0.679572 | − | 0.733609i | \(-0.737835\pi\) |
0.733609 | + | 0.679572i | \(0.237835\pi\) | |||||||
\(410\) | 2.85526 | − | 6.89320i | 0.141011 | − | 0.340431i | ||||
\(411\) | −9.32609 | − | 1.85508i | −0.460022 | − | 0.0915041i | ||||
\(412\) | −25.8158 | + | 25.8158i | −1.27185 | + | 1.27185i | ||||
\(413\) | 2.18087 | − | 10.9640i | 0.107313 | − | 0.539501i | ||||
\(414\) | −5.07254 | − | 25.5014i | −0.249302 | − | 1.25332i | ||||
\(415\) | 0.347431 | + | 1.74665i | 0.0170547 | + | 0.0857398i | ||||
\(416\) | −13.8866 | − | 22.2189i | −0.680847 | − | 1.08937i | ||||
\(417\) | 0.595388 | − | 1.43739i | 0.0291563 | − | 0.0703894i | ||||
\(418\) | −28.4638 | − | 19.0189i | −1.39221 | − | 0.930245i | ||||
\(419\) | 3.74397 | − | 5.60325i | 0.182905 | − | 0.273737i | −0.728675 | − | 0.684860i | \(-0.759863\pi\) |
0.911580 | + | 0.411123i | \(0.134863\pi\) | |||||||
\(420\) | −0.902999 | − | 0.179618i | −0.0440618 | − | 0.00876445i | ||||
\(421\) | −22.3502 | −1.08928 | −0.544642 | − | 0.838669i | \(-0.683334\pi\) | ||||
−0.544642 | + | 0.838669i | \(0.683334\pi\) | |||||||
\(422\) | −34.5227 | − | 6.86699i | −1.68054 | − | 0.334280i | ||||
\(423\) | 0.492346 | + | 0.203936i | 0.0239387 | + | 0.00991572i | ||||
\(424\) | −4.29504 | + | 4.29504i | −0.208585 | + | 0.208585i | ||||
\(425\) | 15.8071 | − | 11.8915i | 0.766759 | − | 0.576822i | ||||
\(426\) | − | 6.70171i | − | 0.324699i | ||||||
\(427\) | 1.27715 | − | 3.08330i | 0.0618054 | − | 0.149211i | ||||
\(428\) | −25.2577 | − | 37.8009i | −1.22088 | − | 1.82718i | ||||
\(429\) | 1.41053 | + | 8.42445i | 0.0681011 | + | 0.406736i | ||||
\(430\) | 7.75470 | + | 1.54251i | 0.373965 | + | 0.0743862i | ||||
\(431\) | 19.5736 | − | 3.89342i | 0.942826 | − | 0.187540i | 0.300335 | − | 0.953834i | \(-0.402901\pi\) |
0.642490 | + | 0.766294i | \(0.277901\pi\) | |||||||
\(432\) | 6.36227 | − | 1.26553i | 0.306105 | − | 0.0608881i | ||||
\(433\) | −9.20456 | + | 22.2218i | −0.442343 | + | 1.06791i | 0.532781 | + | 0.846253i | \(0.321147\pi\) |
−0.975125 | + | 0.221658i | \(0.928853\pi\) | |||||||
\(434\) | 4.19241 | + | 10.1214i | 0.201242 | + | 0.485841i | ||||
\(435\) | −1.26220 | − | 0.843377i | −0.0605180 | − | 0.0404368i | ||||
\(436\) | 47.9702 | − | 9.54187i | 2.29736 | − | 0.456972i | ||||
\(437\) | −18.8530 | + | 12.5972i | −0.901862 | + | 0.602605i | ||||
\(438\) | 4.86640 | + | 4.86640i | 0.232525 | + | 0.232525i | ||||
\(439\) | −31.1244 | + | 20.7967i | −1.48549 | + | 0.992570i | −0.493024 | + | 0.870016i | \(0.664109\pi\) |
−0.992462 | + | 0.122554i | \(0.960891\pi\) | |||||||
\(440\) | −2.49695 | − | 1.03427i | −0.119037 | − | 0.0493069i | ||||
\(441\) | 14.8703 | 0.708108 | ||||||||
\(442\) | −32.6725 | + | 0.831969i | −1.55407 | + | 0.0395727i | ||||
\(443\) | −29.0751 | −1.38140 | −0.690699 | − | 0.723142i | \(-0.742697\pi\) | ||||
−0.690699 | + | 0.723142i | \(0.742697\pi\) | |||||||
\(444\) | −0.459104 | − | 0.190167i | −0.0217881 | − | 0.00902493i | ||||
\(445\) | 3.10640 | − | 2.07563i | 0.147258 | − | 0.0983944i | ||||
\(446\) | −32.9069 | − | 32.9069i | −1.55819 | − | 1.55819i | ||||
\(447\) | 4.26364 | − | 2.84887i | 0.201663 | − | 0.134747i | ||||
\(448\) | −12.4446 | + | 2.47539i | −0.587954 | + | 0.116951i | ||||
\(449\) | 17.2345 | + | 11.5157i | 0.813346 | + | 0.543461i | 0.891256 | − | 0.453500i | \(-0.149825\pi\) |
−0.0779100 | + | 0.996960i | \(0.524825\pi\) | |||||||
\(450\) | −10.0006 | − | 24.1436i | −0.471433 | − | 1.13814i | ||||
\(451\) | −9.46058 | + | 22.8399i | −0.445481 | + | 1.07549i | ||||
\(452\) | −12.1960 | + | 2.42593i | −0.573651 | + | 0.114106i | ||||
\(453\) | 7.85881 | − | 1.56322i | 0.369239 | − | 0.0734463i | ||||
\(454\) | −60.6512 | − | 12.0643i | −2.84650 | − | 0.566204i | ||||
\(455\) | −0.941250 | + | 1.31983i | −0.0441265 | + | 0.0618746i | ||||
\(456\) | 3.49473 | + | 5.23023i | 0.163656 | + | 0.244928i | ||||
\(457\) | 1.51588 | − | 3.65965i | 0.0709097 | − | 0.171191i | −0.884451 | − | 0.466633i | \(-0.845467\pi\) |
0.955361 | + | 0.295442i | \(0.0954669\pi\) | |||||||
\(458\) | − | 31.0562i | − | 1.45116i | ||||||
\(459\) | 5.39390 | − | 15.4057i | 0.251766 | − | 0.719076i | ||||
\(460\) | −4.30345 | + | 4.30345i | −0.200649 | + | 0.200649i | ||||
\(461\) | 25.5027 | + | 10.5635i | 1.18778 | + | 0.491993i | 0.887031 | − | 0.461711i | \(-0.152764\pi\) |
0.300747 | + | 0.953704i | \(0.402764\pi\) | |||||||
\(462\) | 5.10392 | + | 1.01523i | 0.237456 | + | 0.0472329i | ||||
\(463\) | 19.3064 | 0.897247 | 0.448623 | − | 0.893721i | \(-0.351914\pi\) | ||||
0.448623 | + | 0.893721i | \(0.351914\pi\) | |||||||
\(464\) | −7.50161 | − | 1.49216i | −0.348253 | − | 0.0692719i | ||||
\(465\) | −0.901116 | + | 1.34862i | −0.0417883 | + | 0.0625406i | ||||
\(466\) | −54.6085 | − | 36.4882i | −2.52969 | − | 1.69029i | ||||
\(467\) | 1.25542 | − | 3.03085i | 0.0580939 | − | 0.140251i | −0.892167 | − | 0.451705i | \(-0.850816\pi\) |
0.950261 | + | 0.311454i | \(0.100816\pi\) | |||||||
\(468\) | −5.69179 | + | 24.6637i | −0.263103 | + | 1.14008i | ||||
\(469\) | 0.125332 | + | 0.630084i | 0.00578727 | + | 0.0290946i | ||||
\(470\) | −0.0415123 | − | 0.208696i | −0.00191482 | − | 0.00962645i | ||||
\(471\) | 2.93416 | − | 14.7510i | 0.135199 | − | 0.679692i | ||||
\(472\) | −14.4956 | + | 14.4956i | −0.667215 | + | 0.667215i | ||||
\(473\) | −25.6943 | − | 5.11092i | −1.18143 | − | 0.235001i | ||||
\(474\) | 1.89908 | − | 4.58479i | 0.0872278 | − | 0.210587i | ||||
\(475\) | −16.1145 | + | 16.1145i | −0.739384 | + | 0.739384i | ||||
\(476\) | −3.85723 | + | 11.0168i | −0.176796 | + | 0.504952i | ||||
\(477\) | −8.21370 | −0.376079 | ||||||||
\(478\) | 28.5319 | − | 11.8183i | 1.30502 | − | 0.540556i | ||||
\(479\) | 33.5709 | + | 6.67767i | 1.53390 | + | 0.305111i | 0.888550 | − | 0.458780i | \(-0.151713\pi\) |
0.645345 | + | 0.763891i | \(0.276713\pi\) | |||||||
\(480\) | −1.67114 | − | 1.67114i | −0.0762768 | − | 0.0762768i | ||||
\(481\) | −0.637241 | + | 0.599562i | −0.0290557 | + | 0.0273377i | ||||
\(482\) | 13.9177 | + | 9.29949i | 0.633932 | + | 0.423580i | ||||
\(483\) | 1.91495 | − | 2.86592i | 0.0871331 | − | 0.130404i | ||||
\(484\) | −0.667517 | − | 0.276495i | −0.0303417 | − | 0.0125679i | ||||
\(485\) | 7.03144 | + | 2.91252i | 0.319281 | + | 0.132251i | ||||
\(486\) | −27.7501 | − | 18.5420i | −1.25877 | − | 0.841084i | ||||
\(487\) | 7.16122 | + | 36.0019i | 0.324506 | + | 1.63140i | 0.706837 | + | 0.707377i | \(0.250121\pi\) |
−0.382331 | + | 0.924025i | \(0.624879\pi\) | |||||||
\(488\) | −5.08868 | + | 3.40015i | −0.230354 | + | 0.153917i | ||||
\(489\) | 5.34152i | 0.241552i | ||||||||
\(490\) | −3.29871 | − | 4.93687i | −0.149021 | − | 0.223025i | ||||
\(491\) | −10.5081 | − | 25.3688i | −0.474224 | − | 1.14488i | −0.962279 | − | 0.272065i | \(-0.912294\pi\) |
0.488055 | − | 0.872813i | \(-0.337706\pi\) | |||||||
\(492\) | 10.9204 | − | 10.9204i | 0.492332 | − | 0.492332i | ||||
\(493\) | −12.8270 | + | 14.3480i | −0.577697 | + | 0.646202i | ||||
\(494\) | 37.1374 | − | 6.21802i | 1.67089 | − | 0.279762i | ||||
\(495\) | −1.39859 | − | 3.37650i | −0.0628620 | − | 0.151762i | ||||
\(496\) | −1.59432 | + | 8.01518i | −0.0715870 | + | 0.359892i | ||||
\(497\) | −2.97991 | + | 2.97991i | −0.133667 | + | 0.133667i | ||||
\(498\) | −1.22677 | + | 6.16737i | −0.0549727 | + | 0.276367i | ||||
\(499\) | 36.8689 | − | 7.33368i | 1.65048 | − | 0.328301i | 0.719813 | − | 0.694168i | \(-0.244228\pi\) |
0.930667 | + | 0.365868i | \(0.119228\pi\) | |||||||
\(500\) | −6.94014 | + | 10.3867i | −0.310373 | + | 0.464505i | ||||
\(501\) | −1.58438 | − | 3.82503i | −0.0707848 | − | 0.170890i | ||||
\(502\) | −1.11298 | + | 0.461012i | −0.0496748 | + | 0.0205760i | ||||
\(503\) | 5.71873 | + | 28.7500i | 0.254985 | + | 1.28190i | 0.869870 | + | 0.493281i | \(0.164203\pi\) |
−0.614885 | + | 0.788617i | \(0.710797\pi\) | |||||||
\(504\) | 3.77144 | + | 2.52000i | 0.167993 | + | 0.112250i | ||||
\(505\) | −4.77914 | + | 3.19332i | −0.212669 | + | 0.142101i | ||||
\(506\) | 24.3239 | − | 24.3239i | 1.08133 | − | 1.08133i | ||||
\(507\) | −7.47973 | − | 5.68565i | −0.332187 | − | 0.252508i | ||||
\(508\) | −2.41202 | + | 0.999093i | −0.107016 | + | 0.0443276i | ||||
\(509\) | −17.9214 | − | 17.9214i | −0.794354 | − | 0.794354i | 0.187845 | − | 0.982199i | \(-0.439850\pi\) |
−0.982199 | + | 0.187845i | \(0.939850\pi\) | |||||||
\(510\) | −2.85468 | + | 0.735807i | −0.126408 | + | 0.0325821i | ||||
\(511\) | − | 4.32767i | − | 0.191445i | ||||||
\(512\) | −16.5488 | − | 6.85474i | −0.731361 | − | 0.302940i | ||||
\(513\) | −3.66875 | + | 18.4441i | −0.161979 | + | 0.814326i | ||||
\(514\) | 14.2081 | 0.626692 | ||||||||
\(515\) | 3.22131 | + | 4.82104i | 0.141948 | + | 0.212440i | ||||
\(516\) | 13.6078 | + | 9.09243i | 0.599049 | + | 0.400272i | ||||
\(517\) | 0.137546 | + | 0.691493i | 0.00604929 | + | 0.0304118i | ||||
\(518\) | 0.203991 | + | 0.492478i | 0.00896285 | + | 0.0216382i | ||||
\(519\) | −12.3352 | − | 5.10941i | −0.541456 | − | 0.224278i | ||||
\(520\) | 2.77986 | − | 1.05347i | 0.121905 | − | 0.0461979i | ||||
\(521\) | −4.50143 | + | 6.73686i | −0.197211 | + | 0.295147i | −0.916874 | − | 0.399176i | \(-0.869296\pi\) |
0.719663 | + | 0.694323i | \(0.244296\pi\) | |||||||
\(522\) | 14.1260 | + | 21.1410i | 0.618278 | + | 0.925318i | ||||
\(523\) | 8.39619 | + | 8.39619i | 0.367140 | + | 0.367140i | 0.866433 | − | 0.499293i | \(-0.166407\pi\) |
−0.499293 | + | 0.866433i | \(0.666407\pi\) | |||||||
\(524\) | −4.58354 | + | 3.06262i | −0.200233 | + | 0.133791i | ||||
\(525\) | 1.32573 | − | 3.20060i | 0.0578596 | − | 0.139685i | ||||
\(526\) | 5.53760 | + | 5.53760i | 0.241451 | + | 0.241451i | ||||
\(527\) | 15.3303 | + | 13.7051i | 0.667798 | + | 0.597004i | ||||
\(528\) | 2.74492 | + | 2.74492i | 0.119457 | + | 0.119457i | ||||
\(529\) | 0.0825334 | + | 0.199253i | 0.00358841 | + | 0.00866318i | ||||
\(530\) | 1.82207 | + | 2.72691i | 0.0791455 | + | 0.118450i | ||||
\(531\) | −27.7210 | −1.20299 | ||||||||
\(532\) | 2.62356 | − | 13.1895i | 0.113746 | − | 0.571839i | ||||
\(533\) | −9.63624 | − | 25.4277i | −0.417392 | − | 1.10139i | ||||
\(534\) | 12.9384 | − | 2.57360i | 0.559898 | − | 0.111371i | ||||
\(535\) | −6.67060 | + | 2.76305i | −0.288395 | + | 0.119457i | ||||
\(536\) | 0.450840 | − | 1.08842i | 0.0194733 | − | 0.0470128i | ||||
\(537\) | −12.5869 | + | 2.50368i | −0.543163 | + | 0.108042i | ||||
\(538\) | −1.36849 | − | 6.87984i | −0.0589996 | − | 0.296611i | ||||
\(539\) | 10.9299 | + | 16.3578i | 0.470785 | + | 0.704579i | ||||
\(540\) | 5.04755i | 0.217212i | ||||||||
\(541\) | −5.61227 | + | 28.2148i | −0.241291 | + | 1.21305i | 0.650113 | + | 0.759838i | \(0.274722\pi\) |
−0.891403 | + | 0.453211i | \(0.850278\pi\) | |||||||
\(542\) | 55.2176 | − | 22.8719i | 2.37180 | − | 0.982432i | ||||
\(543\) | 0.117065 | 0.00502375 | ||||||||
\(544\) | −23.9437 | + | 18.0125i | −1.02658 | + | 0.772280i | ||||
\(545\) | − | 7.76768i | − | 0.332731i | ||||||
\(546\) | −4.85395 | + | 3.03368i | −0.207730 | + | 0.129829i | ||||
\(547\) | 23.8762 | − | 15.9536i | 1.02087 | − | 0.682125i | 0.0718762 | − | 0.997414i | \(-0.477101\pi\) |
0.948996 | + | 0.315289i | \(0.102101\pi\) | |||||||
\(548\) | − | 37.2791i | − | 1.59248i | ||||||
\(549\) | −8.11689 | − | 1.61455i | −0.346420 | − | 0.0689073i | ||||
\(550\) | 19.2081 | − | 28.7470i | 0.819037 | − | 1.22578i | ||||
\(551\) | 12.3187 | − | 18.4362i | 0.524793 | − | 0.785408i | ||||
\(552\) | −5.83971 | + | 2.41889i | −0.248555 | + | 0.102955i | ||||
\(553\) | −2.88305 | + | 1.19420i | −0.122600 | + | 0.0507824i | ||||
\(554\) | 6.80509 | − | 10.1845i | 0.289120 | − | 0.432699i | ||||
\(555\) | −0.0438458 | + | 0.0656199i | −0.00186115 | + | 0.00278541i | ||||
\(556\) | 5.98237 | + | 1.18997i | 0.253709 | + | 0.0504659i | ||||
\(557\) | 23.4575i | 0.993924i | 0.867772 | + | 0.496962i | \(0.165551\pi\) | ||||
−0.867772 | + | 0.496962i | \(0.834449\pi\) | |||||||
\(558\) | 22.5884 | − | 15.0931i | 0.956243 | − | 0.638941i | ||||
\(559\) | 24.4359 | − | 15.2722i | 1.03353 | − | 0.645947i | ||||
\(560\) | 0.736724i | 0.0311323i | ||||||||
\(561\) | 9.45868 | − | 2.43801i | 0.399346 | − | 0.102933i | ||||
\(562\) | −27.9740 | −1.18001 | ||||||||
\(563\) | 1.16525 | − | 0.482662i | 0.0491094 | − | 0.0203418i | −0.357994 | − | 0.933724i | \(-0.616539\pi\) |
0.407103 | + | 0.913382i | \(0.366539\pi\) | |||||||
\(564\) | 0.0859264 | − | 0.431981i | 0.00361815 | − | 0.0181897i | ||||
\(565\) | 1.97486i | 0.0830831i | ||||||||
\(566\) | 19.2967 | + | 28.8795i | 0.811099 | + | 1.21390i | ||||
\(567\) | 0.891172 | + | 4.48022i | 0.0374257 | + | 0.188152i | ||||
\(568\) | 7.57966 | − | 1.50769i | 0.318035 | − | 0.0632612i | ||||
\(569\) | −5.64290 | + | 13.6232i | −0.236563 | + | 0.571113i | −0.996923 | − | 0.0783890i | \(-0.975022\pi\) |
0.760360 | + | 0.649502i | \(0.225022\pi\) | |||||||
\(570\) | 3.13785 | − | 1.29974i | 0.131430 | − | 0.0544402i | ||||
\(571\) | 37.5705 | − | 7.47324i | 1.57228 | − | 0.312745i | 0.669486 | − | 0.742824i | \(-0.266514\pi\) |
0.902791 | + | 0.430079i | \(0.141514\pi\) | |||||||
\(572\) | −31.3145 | + | 11.8671i | −1.30932 | + | 0.496190i | ||||
\(573\) | −1.46531 | + | 7.36662i | −0.0612143 | + | 0.307745i | ||||
\(574\) | −16.5665 | −0.691473 | ||||||||
\(575\) | −12.7225 | − | 19.0406i | −0.530565 | − | 0.794047i | ||||
\(576\) | 12.0410 | + | 29.0696i | 0.501709 | + | 1.21123i | ||||
\(577\) | 13.9623 | + | 13.9623i | 0.581259 | + | 0.581259i | 0.935249 | − | 0.353990i | \(-0.115175\pi\) |
−0.353990 | + | 0.935249i | \(0.615175\pi\) | |||||||
\(578\) | 4.17080 | + | 37.1411i | 0.173482 | + | 1.54487i | ||||
\(579\) | −13.7741 | − | 13.7741i | −0.572430 | − | 0.572430i | ||||
\(580\) | 2.27752 | − | 5.49842i | 0.0945689 | − | 0.228309i | ||||
\(581\) | 3.28779 | − | 2.19683i | 0.136401 | − | 0.0911400i | ||||
\(582\) | 19.0024 | + | 19.0024i | 0.787673 | + | 0.787673i | ||||
\(583\) | −6.03721 | − | 9.03533i | −0.250036 | − | 0.374205i | ||||
\(584\) | −4.40912 | + | 6.59871i | −0.182451 | + | 0.273057i | ||||
\(585\) | 3.66537 | + | 1.65074i | 0.151545 | + | 0.0682498i | ||||
\(586\) | 19.7937 | + | 8.19881i | 0.817670 | + | 0.338690i | ||||
\(587\) | −7.68033 | − | 18.5420i | −0.317001 | − | 0.765308i | −0.999410 | − | 0.0343379i | \(-0.989068\pi\) |
0.682409 | − | 0.730970i | \(-0.260932\pi\) | |||||||
\(588\) | −2.39768 | − | 12.0539i | −0.0988786 | − | 0.497096i | ||||
\(589\) | −19.6984 | − | 13.1620i | −0.811657 | − | 0.542332i | ||||
\(590\) | 6.14942 | + | 9.20325i | 0.253168 | + | 0.378892i | ||||
\(591\) | 15.3011 | 0.629404 | ||||||||
\(592\) | −0.0775751 | + | 0.389997i | −0.00318832 | + | 0.0160288i | ||||
\(593\) | 30.2900 | + | 12.5465i | 1.24386 | + | 0.515223i | 0.904919 | − | 0.425584i | \(-0.139931\pi\) |
0.338940 | + | 0.940808i | \(0.389931\pi\) | |||||||
\(594\) | − | 28.5297i | − | 1.17059i | ||||||
\(595\) | 1.59651 | + | 0.942155i | 0.0654504 | + | 0.0386246i | ||||
\(596\) | 14.2154 | + | 14.2154i | 0.582285 | + | 0.582285i | ||||
\(597\) | 7.44374 | − | 3.08330i | 0.304652 | − | 0.126191i | ||||
\(598\) | −1.15216 | + | 37.8195i | −0.0471154 | + | 1.54655i | ||||
\(599\) | 6.79705 | − | 6.79705i | 0.277720 | − | 0.277720i | −0.554478 | − | 0.832198i | \(-0.687082\pi\) |
0.832198 | + | 0.554478i | \(0.187082\pi\) | |||||||
\(600\) | −5.28226 | + | 3.52950i | −0.215648 | + | 0.144091i | ||||
\(601\) | 4.66447 | + | 3.11670i | 0.190268 | + | 0.127133i | 0.647056 | − | 0.762443i | \(-0.276000\pi\) |
−0.456788 | + | 0.889576i | \(0.651000\pi\) | |||||||
\(602\) | −3.42494 | − | 17.2183i | −0.139590 | − | 0.701766i | ||||
\(603\) | 1.47182 | − | 0.609648i | 0.0599372 | − | 0.0248268i | ||||
\(604\) | 12.0216 | + | 29.0227i | 0.489152 | + | 1.18092i | ||||
\(605\) | −0.0637499 | + | 0.0954085i | −0.00259180 | + | 0.00387891i | ||||
\(606\) | −19.9054 | + | 3.95943i | −0.808602 | + | 0.160841i | ||||
\(607\) | 7.93296 | − | 39.8817i | 0.321989 | − | 1.61875i | −0.392949 | − | 0.919560i | \(-0.628545\pi\) |
0.714938 | − | 0.699188i | \(-0.246455\pi\) | |||||||
\(608\) | 24.4093 | − | 24.4093i | 0.989927 | − | 0.989927i | ||||
\(609\) | −0.657573 | + | 3.30584i | −0.0266462 | + | 0.133960i | ||||
\(610\) | 1.26457 | + | 3.05293i | 0.0512008 | + | 0.123610i | ||||
\(611\) | −0.631387 | − | 0.450280i | −0.0255432 | − | 0.0182164i | ||||
\(612\) | 28.6604 | + | 4.05161i | 1.15853 | + | 0.163777i | ||||
\(613\) | −20.6556 | + | 20.6556i | −0.834274 | + | 0.834274i | −0.988098 | − | 0.153824i | \(-0.950841\pi\) |
0.153824 | + | 0.988098i | \(0.450841\pi\) | |||||||
\(614\) | −10.9786 | − | 26.5046i | −0.443059 | − | 1.06964i | ||||
\(615\) | −1.36266 | − | 2.03937i | −0.0549478 | − | 0.0822352i | ||||
\(616\) | 6.00095i | 0.241785i | ||||||||
\(617\) | 3.57148 | − | 2.38639i | 0.143783 | − | 0.0960724i | −0.481598 | − | 0.876392i | \(-0.659944\pi\) |
0.625381 | + | 0.780320i | \(0.284944\pi\) | |||||||
\(618\) | 3.99414 | + | 20.0799i | 0.160668 | + | 0.807732i | ||||
\(619\) | −21.1174 | − | 14.1102i | −0.848781 | − | 0.567137i | 0.0533619 | − | 0.998575i | \(-0.483006\pi\) |
−0.902143 | + | 0.431438i | \(0.858006\pi\) | |||||||
\(620\) | −5.87485 | − | 2.43344i | −0.235940 | − | 0.0977294i | ||||
\(621\) | −17.4582 | − | 7.23144i | −0.700575 | − | 0.290187i | ||||
\(622\) | −35.9343 | + | 53.7795i | −1.44083 | + | 2.15636i | ||||
\(623\) | −6.89737 | − | 4.60867i | −0.276337 | − | 0.184643i | ||||
\(624\) | −4.26788 | − | 0.130020i | −0.170852 | − | 0.00520497i | ||||
\(625\) | −15.5589 | − | 15.5589i | −0.622357 | − | 0.622357i | ||||
\(626\) | 52.3241 | + | 10.4079i | 2.09129 | + | 0.415984i | ||||
\(627\) | −10.3969 | + | 4.30655i | −0.415214 | + | 0.171987i | ||||
\(628\) | 58.9642 | 2.35293 | ||||||||
\(629\) | 0.745930 | + | 0.666853i | 0.0297422 | + | 0.0265892i | ||||
\(630\) | 1.73177 | − | 1.73177i | 0.0689952 | − | 0.0689952i | ||||
\(631\) | 16.0104 | − | 38.6525i | 0.637363 | − | 1.53873i | −0.192816 | − | 0.981235i | \(-0.561762\pi\) |
0.830179 | − | 0.557496i | \(-0.188238\pi\) | |||||||
\(632\) | 5.61266 | + | 1.11643i | 0.223260 | + | 0.0444091i | ||||
\(633\) | −8.18199 | + | 8.18199i | −0.325205 | + | 0.325205i | ||||
\(634\) | −8.40620 | + | 42.2608i | −0.333853 | + | 1.67839i | ||||
\(635\) | 0.0808902 | + | 0.406662i | 0.00321003 | + | 0.0161379i | ||||
\(636\) | 1.32437 | + | 6.65808i | 0.0525148 | + | 0.264010i | ||||
\(637\) | −21.0853 | − | 4.86597i | −0.835429 | − | 0.192797i | ||||
\(638\) | −12.8730 | + | 31.0781i | −0.509646 | + | 1.23039i | ||||
\(639\) | 8.68918 | + | 5.80593i | 0.343739 | + | 0.229679i | ||||
\(640\) | 3.34638 | − | 5.00821i | 0.132277 | − | 0.197967i | ||||
\(641\) | 25.5760 | + | 5.08738i | 1.01019 | + | 0.200939i | 0.672326 | − | 0.740255i | \(-0.265295\pi\) |
0.337865 | + | 0.941195i | \(0.390295\pi\) | |||||||
\(642\) | −25.4943 | −1.00618 | ||||||||
\(643\) | 5.49107 | + | 1.09224i | 0.216547 | + | 0.0430738i | 0.302171 | − | 0.953254i | \(-0.402289\pi\) |
−0.0856246 | + | 0.996327i | \(0.527289\pi\) | |||||||
\(644\) | 12.4845 | + | 5.17127i | 0.491960 | + | 0.203777i | ||||
\(645\) | 1.83789 | − | 1.83789i | 0.0723669 | − | 0.0723669i | ||||
\(646\) | −10.7475 | − | 41.6965i | −0.422853 | − | 1.64053i | ||||
\(647\) | − | 30.8860i | − | 1.21425i | −0.794605 | − | 0.607127i | \(-0.792322\pi\) | ||
0.794605 | − | 0.607127i | \(-0.207678\pi\) | |||||||
\(648\) | 3.20571 | − | 7.73926i | 0.125932 | − | 0.304027i | ||||
\(649\) | −20.3754 | − | 30.4940i | −0.799805 | − | 1.19699i | ||||
\(650\) | 6.27988 | + | 37.5069i | 0.246317 | + | 1.47114i | ||||
\(651\) | 3.53217 | + | 0.702592i | 0.138437 | + | 0.0275367i | ||||
\(652\) | −20.5390 | + | 4.08545i | −0.804368 | + | 0.159999i | ||||
\(653\) | −47.3974 | + | 9.42792i | −1.85480 | + | 0.368943i | −0.990887 | − | 0.134695i | \(-0.956995\pi\) |
−0.863915 | + | 0.503638i | \(0.831995\pi\) | |||||||
\(654\) | 10.4960 | − | 25.3396i | 0.410427 | − | 0.990858i | ||||
\(655\) | 0.335033 | + | 0.808842i | 0.0130908 | + | 0.0316041i | ||||
\(656\) | −10.2753 | − | 6.86571i | −0.401181 | − | 0.268061i | ||||
\(657\) | −10.5255 | + | 2.09366i | −0.410640 | + | 0.0816813i | ||||
\(658\) | −0.392838 | + | 0.262486i | −0.0153144 | + | 0.0102328i | ||||
\(659\) | 30.1242 | + | 30.1242i | 1.17347 | + | 1.17347i | 0.981376 | + | 0.192095i | \(0.0615281\pi\) |
0.192095 | + | 0.981376i | \(0.438472\pi\) | |||||||
\(660\) | −2.51150 | + | 1.67813i | −0.0977601 | + | 0.0653212i | ||||
\(661\) | −13.1752 | − | 5.45736i | −0.512457 | − | 0.212267i | 0.111443 | − | 0.993771i | \(-0.464453\pi\) |
−0.623900 | + | 0.781504i | \(0.714453\pi\) | |||||||
\(662\) | −34.2928 | −1.33283 | ||||||||
\(663\) | −5.73972 | + | 9.08237i | −0.222912 | + | 0.352730i | ||||
\(664\) | −7.25131 | −0.281405 | ||||||||
\(665\) | −1.97317 | − | 0.817314i | −0.0765163 | − | 0.0316941i | ||||
\(666\) | 1.09909 | − | 0.734388i | 0.0425888 | − | 0.0284570i | ||||
\(667\) | 15.7548 | + | 15.7548i | 0.610027 | + | 0.610027i | ||||
\(668\) | 13.4960 | − | 9.01774i | 0.522176 | − | 0.348907i | ||||
\(669\) | −15.0044 | + | 2.98457i | −0.580105 | + | 0.115390i | ||||
\(670\) | −0.528899 | − | 0.353399i | −0.0204331 | − | 0.0136530i | ||||
\(671\) | −4.19000 | − | 10.1156i | −0.161753 | − | 0.390507i | ||||
\(672\) | −2.00814 | + | 4.84807i | −0.0774656 | + | 0.187018i | ||||
\(673\) | −10.0555 | + | 2.00016i | −0.387610 | + | 0.0771005i | −0.385049 | − | 0.922896i | \(-0.625815\pi\) |
−0.00256157 | + | 0.999997i | \(0.500815\pi\) | |||||||
\(674\) | −50.0392 | + | 9.95341i | −1.92744 | + | 0.383391i | ||||
\(675\) | −18.6276 | − | 3.70526i | −0.716976 | − | 0.142615i | ||||
\(676\) | 16.1413 | − | 33.1094i | 0.620820 | − | 1.27344i | ||||
\(677\) | 0.756474 | + | 1.13214i | 0.0290737 | + | 0.0435118i | 0.845722 | − | 0.533624i | \(-0.179170\pi\) |
−0.816648 | + | 0.577136i | \(0.804170\pi\) | |||||||
\(678\) | −2.66852 | + | 6.44237i | −0.102484 | + | 0.247418i | ||||
\(679\) | − | 16.8987i | − | 0.648514i | ||||||
\(680\) | −1.47442 | − | 3.06312i | −0.0565414 | − | 0.117465i | ||||
\(681\) | −14.3745 | + | 14.3745i | −0.550833 | + | 0.550833i | ||||
\(682\) | 33.2057 | + | 13.7543i | 1.27151 | + | 0.526678i | ||||
\(683\) | −23.6120 | − | 4.69671i | −0.903487 | − | 0.179715i | −0.278579 | − | 0.960413i | \(-0.589864\pi\) |
−0.624908 | + | 0.780698i | \(0.714864\pi\) | |||||||
\(684\) | −33.3481 | −1.27509 | ||||||||
\(685\) | −5.80675 | − | 1.15503i | −0.221864 | − | 0.0441316i | ||||
\(686\) | −15.8670 | + | 23.7467i | −0.605806 | + | 0.906653i | ||||
\(687\) | −8.48864 | − | 5.67193i | −0.323862 | − | 0.216398i | ||||
\(688\) | 5.01155 | − | 12.0989i | 0.191063 | − | 0.461268i | ||||
\(689\) | 11.6466 | + | 2.68775i | 0.443700 | + | 0.102395i | ||||
\(690\) | 0.665817 | + | 3.34729i | 0.0253472 | + | 0.127429i | ||||
\(691\) | 1.77645 | + | 8.93083i | 0.0675795 | + | 0.339745i | 0.999752 | − | 0.0222694i | \(-0.00708915\pi\) |
−0.932173 | + | 0.362014i | \(0.882089\pi\) | |||||||
\(692\) | 10.2119 | − | 51.3387i | 0.388198 | − | 1.95160i | ||||
\(693\) | −5.73802 | + | 5.73802i | −0.217969 | + | 0.217969i | ||||
\(694\) | 10.0901 | + | 2.00705i | 0.383016 | + | 0.0761866i | ||||
\(695\) | 0.370709 | − | 0.894971i | 0.0140618 | − | 0.0339482i | ||||
\(696\) | 4.37071 | − | 4.37071i | 0.165671 | − | 0.165671i | ||||
\(697\) | −28.0187 | + | 13.4867i | −1.06128 | + | 0.510844i | ||||
\(698\) | 20.2145 | 0.765132 | ||||||||
\(699\) | −19.9468 | + | 8.26223i | −0.754456 | + | 0.312506i | ||||
\(700\) | 13.3208 | + | 2.64966i | 0.503477 | + | 0.100148i | ||||
\(701\) | 2.15598 | + | 2.15598i | 0.0814301 | + | 0.0814301i | 0.746649 | − | 0.665219i | \(-0.231662\pi\) |
−0.665219 | + | 0.746649i | \(0.731662\pi\) | |||||||
\(702\) | 21.5037 | + | 22.8550i | 0.811604 | + | 0.862608i | ||||
\(703\) | −0.958469 | − | 0.640428i | −0.0361493 | − | 0.0241542i | ||||
\(704\) | −23.1271 | + | 34.6122i | −0.871636 | + | 1.30450i | ||||
\(705\) | −0.0646249 | − | 0.0267685i | −0.00243392 | − | 0.00100816i | ||||
\(706\) | 0.849597 | + | 0.351914i | 0.0319750 | + | 0.0132445i | ||||
\(707\) | 10.6115 | + | 7.09035i | 0.399085 | + | 0.266660i | ||||
\(708\) | 4.46972 | + | 22.4708i | 0.167982 | + | 0.844505i | ||||
\(709\) | 15.6586 | − | 10.4628i | 0.588072 | − | 0.392937i | −0.225636 | − | 0.974212i | \(-0.572446\pi\) |
0.813707 | + | 0.581275i | \(0.197446\pi\) | |||||||
\(710\) | − | 4.17272i | − | 0.156599i | ||||||
\(711\) | 4.29923 | + | 6.43425i | 0.161234 | + | 0.241303i | ||||
\(712\) | 5.82150 | + | 14.0543i | 0.218170 | + | 0.526709i | ||||
\(713\) | 16.8334 | − | 16.8334i | 0.630414 | − | 0.630414i | ||||
\(714\) | 3.93502 | + | 5.23076i | 0.147265 | + | 0.195756i | ||||
\(715\) | 0.878245 | + | 5.24536i | 0.0328445 | + | 0.196165i | ||||
\(716\) | −19.2541 | − | 46.4834i | −0.719559 | − | 1.73717i | ||||
\(717\) | 1.98059 | − | 9.95708i | 0.0739664 | − | 0.371854i | ||||
\(718\) | 4.65826 | − | 4.65826i | 0.173845 | − | 0.173845i | ||||
\(719\) | 4.08977 | − | 20.5607i | 0.152523 | − | 0.766783i | −0.826485 | − | 0.562959i | \(-0.809663\pi\) |
0.979008 | − | 0.203824i | \(-0.0653371\pi\) | |||||||
\(720\) | 1.79182 | − | 0.356414i | 0.0667771 | − | 0.0132828i | ||||
\(721\) | 7.15251 | − | 10.7045i | 0.266373 | − | 0.398656i | ||||
\(722\) | 2.99921 | + | 7.24074i | 0.111619 | + | 0.269473i | ||||
\(723\) | 5.08369 | − | 2.10573i | 0.189064 | − | 0.0783130i | ||||
\(724\) | 0.0895372 | + | 0.450134i | 0.00332762 | + | 0.0167291i | ||||
\(725\) | 18.6196 | + | 12.4412i | 0.691515 | + | 0.462056i | ||||
\(726\) | −0.336884 | + | 0.225099i | −0.0125030 | + | 0.00835421i | ||||
\(727\) | 18.1748 | − | 18.1748i | 0.674066 | − | 0.674066i | −0.284585 | − | 0.958651i | \(-0.591856\pi\) |
0.958651 | + | 0.284585i | \(0.0918558\pi\) | |||||||
\(728\) | −4.52309 | − | 4.80734i | −0.167637 | − | 0.178172i | ||||
\(729\) | 2.53540 | − | 1.05020i | 0.0939036 | − | 0.0388961i | ||||
\(730\) | 3.02999 | + | 3.02999i | 0.112145 | + | 0.112145i | ||||
\(731\) | −19.8098 | − | 26.3329i | −0.732693 | − | 0.973956i | ||||
\(732\) | 6.83993i | 0.252811i | ||||||||
\(733\) | −35.9505 | − | 14.8912i | −1.32786 | − | 0.550019i | −0.397818 | − | 0.917464i | \(-0.630233\pi\) |
−0.930045 | + | 0.367445i | \(0.880233\pi\) | |||||||
\(734\) | −10.8554 | + | 54.5738i | −0.400681 | + | 2.01436i | ||||
\(735\) | −1.95186 | −0.0719955 | ||||||||
\(736\) | 19.2713 | + | 28.8415i | 0.710349 | + | 1.06311i | ||||
\(737\) | 1.75245 | + | 1.17095i | 0.0645522 | + | 0.0431324i | ||||
\(738\) | 8.01460 | + | 40.2921i | 0.295022 | + | 1.48317i | ||||
\(739\) | 14.5196 | + | 35.0534i | 0.534112 | + | 1.28946i | 0.928778 | + | 0.370636i | \(0.120860\pi\) |
−0.394666 | + | 0.918825i | \(0.629140\pi\) | |||||||
\(740\) | −0.285854 | − | 0.118405i | −0.0105082 | − | 0.00435264i | ||||
\(741\) | 5.08298 | − | 11.2864i | 0.186728 | − | 0.414618i | ||||
\(742\) | 4.04566 | − | 6.05476i | 0.148521 | − | 0.222277i | ||||
\(743\) | −1.60713 | − | 2.40524i | −0.0589598 | − | 0.0882395i | 0.800818 | − | 0.598907i | \(-0.204398\pi\) |
−0.859778 | + | 0.510668i | \(0.829398\pi\) | |||||||
\(744\) | −4.66993 | − | 4.66993i | −0.171208 | − | 0.171208i | ||||
\(745\) | 2.65469 | − | 1.77381i | 0.0972603 | − | 0.0649873i | ||||
\(746\) | 4.83748 | − | 11.6787i | 0.177113 | − | 0.427588i | ||||
\(747\) | −6.93359 | − | 6.93359i | −0.253687 | − | 0.253687i | ||||
\(748\) | 16.6090 | + | 34.5053i | 0.607285 | + | 1.26164i | ||||
\(749\) | 11.3360 | + | 11.3360i | 0.414209 | + | 0.414209i | ||||
\(750\) | 2.68075 | + | 6.47190i | 0.0978872 | + | 0.236321i | ||||
\(751\) | −9.19818 | − | 13.7660i | −0.335646 | − | 0.502330i | 0.624804 | − | 0.780782i | \(-0.285179\pi\) |
−0.960450 | + | 0.278451i | \(0.910179\pi\) | |||||||
\(752\) | −0.352437 | −0.0128521 | ||||||||
\(753\) | −0.0772595 | + | 0.388410i | −0.00281549 | + | 0.0141544i | ||||
\(754\) | −13.1120 | − | 34.5993i | −0.477510 | − | 1.26003i | ||||
\(755\) | 4.89317 | − | 0.973312i | 0.178081 | − | 0.0354225i | ||||
\(756\) | 10.3543 | − | 4.28890i | 0.376583 | − | 0.155986i | ||||
\(757\) | 6.38205 | − | 15.4076i | 0.231960 | − | 0.560000i | −0.764448 | − | 0.644685i | \(-0.776988\pi\) |
0.996408 | + | 0.0846851i | \(0.0269884\pi\) | |||||||
\(758\) | 4.09709 | − | 0.814961i | 0.148813 | − | 0.0296007i | ||||
\(759\) | −2.20611 | − | 11.0909i | −0.0800768 | − | 0.402573i | ||||
\(760\) | 2.17594 | + | 3.25652i | 0.0789295 | + | 0.118126i | ||||
\(761\) | − | 38.7443i | − | 1.40448i | −0.711940 | − | 0.702240i | \(-0.752183\pi\) | ||
0.711940 | − | 0.702240i | \(-0.247817\pi\) | |||||||
\(762\) | −0.285621 | + | 1.43591i | −0.0103469 | + | 0.0520176i | ||||
\(763\) | −15.9343 | + | 6.60019i | −0.576859 | + | 0.238943i | ||||
\(764\) | −29.4465 | −1.06534 | ||||||||
\(765\) | 1.51909 | − | 4.33873i | 0.0549229 | − | 0.156867i | ||||
\(766\) | − | 39.9994i | − | 1.44524i | ||||||
\(767\) | 39.3069 | + | 9.07107i | 1.41929 | + | 0.327538i | ||||
\(768\) | 2.42133 | − | 1.61788i | 0.0873723 | − | 0.0583803i | ||||
\(769\) | − | 21.2660i | − | 0.766873i | −0.923567 | − | 0.383436i | \(-0.874741\pi\) | ||
0.923567 | − | 0.383436i | \(-0.125259\pi\) | |||||||
\(770\) | 3.17788 | + | 0.632119i | 0.114523 | + | 0.0227800i | ||||
\(771\) | 2.59488 | − | 3.88352i | 0.0934525 | − | 0.139861i | ||||
\(772\) | 42.4283 | − | 63.4984i | 1.52703 | − | 2.28536i | ||||
\(773\) | −16.1610 | + | 6.69411i | −0.581271 | + | 0.240770i | −0.653890 | − | 0.756589i | \(-0.726864\pi\) |
0.0726191 | + | 0.997360i | \(0.476864\pi\) | |||||||
\(774\) | −40.2205 | + | 16.6599i | −1.44569 | + | 0.598826i | ||||
\(775\) | 13.2930 | − | 19.8943i | 0.477498 | − | 0.714626i | ||||
\(776\) | −17.2168 | + | 25.7667i | −0.618046 | + | 0.924971i | ||||
\(777\) | 0.171866 | + | 0.0341862i | 0.00616564 | + | 0.00122642i | ||||
\(778\) | 47.2767i | 1.69495i | ||||||||
\(779\) | 29.7877 | − | 19.9035i | 1.06726 | − | 0.713118i | ||||
\(780\) | 0.747100 | − | 3.23734i | 0.0267505 | − | 0.115915i | ||||
\(781\) | 13.8258i | 0.494727i | ||||||||
\(782\) | 43.2007 | − | 2.41803i | 1.54485 | − | 0.0864686i | ||||
\(783\) | 18.4789 | 0.660381 | ||||||||
\(784\) | −9.08577 | + | 3.76345i | −0.324492 | + | 0.134409i | ||||
\(785\) | 1.82691 | − | 9.18450i | 0.0652053 | − | 0.327809i | ||||
\(786\) | 3.09131i | 0.110263i | ||||||||
\(787\) | −12.6622 | − | 18.9503i | −0.451358 | − | 0.675505i | 0.534101 | − | 0.845421i | \(-0.320650\pi\) |
−0.985459 | + | 0.169916i | \(0.945650\pi\) | |||||||
\(788\) | 11.7030 | + | 58.8351i | 0.416903 | + | 2.09591i | ||||
\(789\) | 2.52496 | − | 0.502245i | 0.0898908 | − | 0.0178804i | ||||
\(790\) | 1.18244 | − | 2.85465i | 0.0420692 | − | 0.101564i | ||||
\(791\) | 4.05114 | − | 1.67804i | 0.144042 | − | 0.0596642i | ||||
\(792\) | 14.5952 | − | 2.90316i | 0.518617 | − | 0.103159i | ||||
\(793\) | 10.9810 | + | 4.94542i | 0.389947 | + | 0.175617i | ||||
\(794\) | −3.94875 | + | 19.8517i | −0.140136 | + | 0.704510i | ||||
\(795\) | 1.07812 | 0.0382371 | ||||||||
\(796\) | 17.5491 | + | 26.2641i | 0.622011 | + | 0.930905i | ||||
\(797\) | 13.6212 | + | 32.8845i | 0.482488 | + | 1.16483i | 0.958424 | + | 0.285348i | \(0.0921092\pi\) |
−0.475936 | + | 0.879480i | \(0.657891\pi\) | |||||||
\(798\) | −5.33246 | − | 5.33246i | −0.188767 | − | 0.188767i | ||||
\(799\) | −0.450713 | + | 0.763744i | −0.0159451 | + | 0.0270193i | ||||
\(800\) | 24.6521 | + | 24.6521i | 0.871585 | + | 0.871585i | ||||
\(801\) | −7.87212 | + | 19.0050i | −0.278148 | + | 0.671508i | ||||
\(802\) | 44.7108 | − | 29.8748i | 1.57879 | − | 1.05492i | ||||
\(803\) | −10.0395 | − | 10.0395i | −0.354287 | − | 0.354287i | ||||
\(804\) | −0.731501 | − | 1.09477i | −0.0257980 | − | 0.0386095i | ||||
\(805\) | 1.19231 | − | 1.78442i | 0.0420235 | − | 0.0628926i | ||||
\(806\) | −36.9680 | + | 14.0096i | −1.30214 | + | 0.493469i | ||||
\(807\) | −2.13041 | − | 0.882445i | −0.0749940 | − | 0.0310635i | ||||
\(808\) | −8.95626 | − | 21.6223i | −0.315080 | − | 0.760671i | ||||
\(809\) | 0.512434 | + | 2.57618i | 0.0180162 | + | 0.0905737i | 0.988747 | − | 0.149595i | \(-0.0477971\pi\) |
−0.970731 | + | 0.240169i | \(0.922797\pi\) | |||||||
\(810\) | −3.76074 | − | 2.51285i | −0.132139 | − | 0.0882925i | ||||
\(811\) | 10.2950 | + | 15.4076i | 0.361508 | + | 0.541035i | 0.966987 | − | 0.254827i | \(-0.0820184\pi\) |
−0.605479 | + | 0.795861i | \(0.707018\pi\) | |||||||
\(812\) | −13.2144 | −0.463735 | ||||||||
\(813\) | 3.83302 | − | 19.2699i | 0.134430 | − | 0.675825i | ||||
\(814\) | 1.61570 | + | 0.669245i | 0.0566303 | + | 0.0234570i | ||||
\(815\) | 3.32582i | 0.116498i | ||||||||
\(816\) | 0.272872 | + | 4.87514i | 0.00955243 | + | 0.170664i | ||||
\(817\) | 26.8449 | + | 26.8449i | 0.939184 | + | 0.939184i | ||||
\(818\) | 3.13910 | − | 1.30026i | 0.109756 | − | 0.0454624i | ||||
\(819\) | 0.271795 | − | 8.92162i | 0.00949730 | − | 0.311747i | ||||
\(820\) | 6.79945 | − | 6.79945i | 0.237447 | − | 0.237447i | ||||
\(821\) | 3.12582 | − | 2.08860i | 0.109092 | − | 0.0728928i | −0.499828 | − | 0.866125i | \(-0.666603\pi\) |
0.608919 | + | 0.793232i | \(0.291603\pi\) | |||||||
\(822\) | −17.3820 | − | 11.6143i | −0.606266 | − | 0.405094i | ||||
\(823\) | −2.84384 | − | 14.2970i | −0.0991301 | − | 0.498361i | −0.998169 | − | 0.0604914i | \(-0.980733\pi\) |
0.899039 | − | 0.437869i | \(-0.144267\pi\) | |||||||
\(824\) | −21.8119 | + | 9.03478i | −0.759853 | + | 0.314741i | ||||
\(825\) | −4.34940 | − | 10.5004i | −0.151427 | − | 0.365576i | ||||
\(826\) | 13.6540 | − | 20.4346i | 0.475083 | − | 0.711012i | ||||
\(827\) | −43.1203 | + | 8.57716i | −1.49944 | + | 0.298257i | −0.875501 | − | 0.483216i | \(-0.839469\pi\) |
−0.623939 | + | 0.781473i | \(0.714469\pi\) | |||||||
\(828\) | 6.53745 | − | 32.8660i | 0.227192 | − | 1.14217i | ||||
\(829\) | 3.30473 | − | 3.30473i | 0.114778 | − | 0.114778i | −0.647385 | − | 0.762163i | \(-0.724137\pi\) |
0.762163 | + | 0.647385i | \(0.224137\pi\) | |||||||
\(830\) | −0.763827 | + | 3.84002i | −0.0265128 | + | 0.133289i | ||||
\(831\) | −1.54091 | − | 3.72009i | −0.0534537 | − | 0.129049i | ||||
\(832\) | −7.56115 | − | 45.1593i | −0.262136 | − | 1.56562i | ||||
\(833\) | −3.46377 | + | 24.5020i | −0.120012 | + | 0.848946i | ||||
\(834\) | 2.41865 | − | 2.41865i | 0.0837508 | − | 0.0837508i | ||||
\(835\) | −0.986489 | − | 2.38159i | −0.0341389 | − | 0.0824185i | ||||
\(836\) | −24.5114 | − | 36.6839i | −0.847745 | − | 1.26874i | ||||
\(837\) | − | 19.7440i | − | 0.682451i | ||||||
\(838\) | 12.3188 | − | 8.23114i | 0.425545 | − | 0.284340i | ||||
\(839\) | 9.79187 | + | 49.2271i | 0.338053 | + | 1.69951i | 0.658781 | + | 0.752335i | \(0.271073\pi\) |
−0.320728 | + | 0.947171i | \(0.603927\pi\) | |||||||
\(840\) | −0.495037 | − | 0.330773i | −0.0170804 | − | 0.0114127i | ||||
\(841\) | 6.66301 | + | 2.75991i | 0.229759 | + | 0.0951693i | ||||
\(842\) | −45.3967 | − | 18.8039i | −1.56447 | − | 0.648026i | ||||
\(843\) | −5.10901 | + | 7.64618i | −0.175964 | + | 0.263348i | ||||
\(844\) | −37.7190 | − | 25.2030i | −1.29834 | − | 0.867524i | ||||
\(845\) | −4.65714 | − | 3.54008i | −0.160210 | − | 0.121782i | ||||
\(846\) | 0.828451 | + | 0.828451i | 0.0284827 | + | 0.0284827i | ||||
\(847\) | 0.249885 | + | 0.0497052i | 0.00858615 | + | 0.00170789i | ||||
\(848\) | 5.01859 | − | 2.07877i | 0.172339 | − | 0.0713851i | ||||
\(849\) | 11.4179 | 0.391862 | ||||||||
\(850\) | 42.1114 | − | 10.8544i | 1.44441 | − | 0.372302i | ||||
\(851\) | 0.819065 | − | 0.819065i | 0.0280772 | − | 0.0280772i | ||||
\(852\) | 3.30528 | − | 7.97965i | 0.113237 | − | 0.273378i | ||||
\(853\) | −6.66845 | − | 1.32644i | −0.228323 | − | 0.0454163i | 0.0796026 | − | 0.996827i | \(-0.474635\pi\) |
−0.307926 | + | 0.951410i | \(0.599635\pi\) | |||||||
\(854\) | 5.18815 | − | 5.18815i | 0.177535 | − | 0.177535i | ||||
\(855\) | −1.03324 | + | 5.19443i | −0.0353360 | + | 0.177646i | ||||
\(856\) | −5.73547 | − | 28.8342i | −0.196034 | − | 0.985531i | ||||
\(857\) | 9.96215 | + | 50.0831i | 0.340300 | + | 1.71081i | 0.649968 | + | 0.759961i | \(0.274782\pi\) |
−0.309668 | + | 0.950845i | \(0.600218\pi\) | |||||||
\(858\) | −4.22275 | + | 18.2981i | −0.144162 | + | 0.624686i | ||||
\(859\) | −4.65556 | + | 11.2395i | −0.158846 | + | 0.383487i | −0.983186 | − | 0.182607i | \(-0.941546\pi\) |
0.824340 | + | 0.566095i | \(0.191546\pi\) | |||||||
\(860\) | 8.47267 | + | 5.66126i | 0.288916 | + | 0.193047i | ||||
\(861\) | −3.02561 | + | 4.52815i | −0.103113 | + | 0.154319i | ||||
\(862\) | 43.0325 | + | 8.55970i | 1.46569 | + | 0.291545i | ||||
\(863\) | −37.9925 | −1.29328 | −0.646641 | − | 0.762795i | \(-0.723827\pi\) | ||||
−0.646641 | + | 0.762795i | \(0.723827\pi\) | |||||||
\(864\) | 28.2159 | + | 5.61250i | 0.959926 | + | 0.190941i | ||||
\(865\) | −7.68033 | − | 3.18130i | −0.261139 | − | 0.108167i | ||||
\(866\) | −37.3917 | + | 37.3917i | −1.27062 | + | 1.27062i | ||||
\(867\) | 10.9136 | + | 5.64323i | 0.370644 | + | 0.191654i | ||||
\(868\) | 14.1191i | 0.479233i | ||||||||
\(869\) | −3.91787 | + | 9.45857i | −0.132905 | + | 0.320860i | ||||
\(870\) | −1.85417 | − | 2.77496i | −0.0628622 | − | 0.0940799i | ||||
\(871\) | −2.28646 | + | 0.382829i | −0.0774737 | + | 0.0129717i | ||||
\(872\) | 31.0205 | + | 6.17036i | 1.05049 | + | 0.208955i | ||||
\(873\) | −41.1001 | + | 8.17533i | −1.39103 | + | 0.276693i | ||||
\(874\) | −48.8917 | + | 9.72517i | −1.65379 | + | 0.328959i | ||||
\(875\) | 1.68573 | − | 4.06971i | 0.0569881 | − | 0.137581i | ||||
\(876\) | 3.39426 | + | 8.19447i | 0.114681 | + | 0.276866i | ||||
\(877\) | 28.7134 | + | 19.1857i | 0.969583 | + | 0.647854i | 0.936155 | − | 0.351587i | \(-0.114358\pi\) |
0.0334274 | + | 0.999441i | \(0.489358\pi\) | |||||||
\(878\) | −80.7152 | + | 16.0553i | −2.72401 | + | 0.541839i | ||||
\(879\) | 5.85600 | − | 3.91286i | 0.197518 | − | 0.131977i | ||||
\(880\) | 1.70908 | + | 1.70908i | 0.0576132 | + | 0.0576132i | ||||
\(881\) | 34.5553 | − | 23.0891i | 1.16420 | − | 0.777893i | 0.185390 | − | 0.982665i | \(-0.440645\pi\) |
0.978810 | + | 0.204772i | \(0.0656453\pi\) | |||||||
\(882\) | 30.2038 | + | 12.5108i | 1.01701 | + | 0.421261i | ||||
\(883\) | −39.1910 | −1.31888 | −0.659442 | − | 0.751756i | \(-0.729207\pi\) | ||||
−0.659442 | + | 0.751756i | \(0.729207\pi\) | |||||||
\(884\) | −39.3131 | − | 15.1234i | −1.32224 | − | 0.508656i | ||||
\(885\) | 3.63864 | 0.122311 | ||||||||
\(886\) | −59.0559 | − | 24.4617i | −1.98402 | − | 0.821808i | ||||
\(887\) | 28.5052 | − | 19.0466i | 0.957111 | − | 0.639521i | 0.0242305 | − | 0.999706i | \(-0.492286\pi\) |
0.932881 | + | 0.360185i | \(0.117286\pi\) | |||||||
\(888\) | −0.227226 | − | 0.227226i | −0.00762521 | − | 0.00762521i | ||||
\(889\) | 0.765477 | − | 0.511475i | 0.0256733 | − | 0.0171543i | ||||
\(890\) | 8.05587 | − | 1.60241i | 0.270033 | − | 0.0537130i | ||||
\(891\) | 12.4608 | + | 8.32604i | 0.417453 | + | 0.278933i | ||||
\(892\) | −22.9522 | − | 55.4116i | −0.768497 | − | 1.85532i | ||||
\(893\) | 0.390991 | − | 0.943935i | 0.0130840 | − | 0.0315876i | ||||
\(894\) | 11.0569 | − | 2.19936i | 0.369800 | − | 0.0735577i | ||||
\(895\) | −7.83702 | + | 1.55888i | −0.261963 | + | 0.0521076i | ||||
\(896\) | −13.1170 | − | 2.60914i | −0.438210 | − | 0.0871653i | ||||
\(897\) | 10.1268 | + | 7.22205i | 0.338125 | + | 0.241137i | ||||
\(898\) | 25.3174 | + | 37.8901i | 0.844851 | + | 1.26441i | ||||
\(899\) | −8.90874 | + | 21.5076i | −0.297123 | + | 0.717318i | ||||
\(900\) | − | 33.6798i | − | 1.12266i | ||||||
\(901\) | 1.91323 | − | 13.5339i | 0.0637391 | − | 0.450879i | ||||
\(902\) | −38.4317 | + | 38.4317i | −1.27964 | + | 1.27964i | ||||
\(903\) | −5.33182 | − | 2.20851i | −0.177432 | − | 0.0734947i | ||||
\(904\) | −7.88669 | − | 1.56876i | −0.262307 | − | 0.0521762i | ||||
\(905\) | 0.0728889 | 0.00242291 | ||||||||
\(906\) | 17.2776 | + | 3.43673i | 0.574011 | + | 0.114178i | ||||
\(907\) | −23.0944 | + | 34.5633i | −0.766838 | + | 1.14765i | 0.218299 | + | 0.975882i | \(0.429949\pi\) |
−0.985137 | + | 0.171772i | \(0.945051\pi\) | |||||||
\(908\) | −66.2666 | − | 44.2779i | −2.19913 | − | 1.46941i | ||||
\(909\) | 12.1111 | − | 29.2388i | 0.401700 | − | 0.969789i | ||||
\(910\) | −3.02224 | + | 1.88887i | −0.100186 | + | 0.0626155i | ||||
\(911\) | −10.2498 | − | 51.5292i | −0.339591 | − | 1.70724i | −0.652779 | − | 0.757549i | \(-0.726397\pi\) |
0.313187 | − | 0.949691i | \(-0.398603\pi\) | |||||||
\(912\) | −1.09747 | − | 5.51737i | −0.0363410 | − | 0.182698i | ||||
\(913\) | 2.53086 | − | 12.7235i | 0.0837592 | − | 0.421086i | ||||
\(914\) | 6.15795 | − | 6.15795i | 0.203687 | − | 0.203687i | ||||
\(915\) | 1.06542 | + | 0.211925i | 0.0352216 | + | 0.00700601i | ||||
\(916\) | 15.3169 | − | 36.9783i | 0.506085 | − | 1.22180i | ||||
\(917\) | 1.37454 | − | 1.37454i | 0.0453915 | − | 0.0453915i | ||||
\(918\) | 23.9171 | − | 26.7532i | 0.789382 | − | 0.882988i | ||||
\(919\) | −35.8913 | −1.18394 | −0.591972 | − | 0.805958i | \(-0.701650\pi\) | ||||
−0.591972 | + | 0.805958i | \(0.701650\pi\) | |||||||
\(920\) | −3.63601 | + | 1.50608i | −0.119876 | + | 0.0496541i | ||||
\(921\) | −9.24961 | − | 1.83986i | −0.304785 | − | 0.0606255i | ||||
\(922\) | 42.9123 | + | 42.9123i | 1.41324 | + | 1.41324i | ||||
\(923\) | −10.4209 | − | 11.0758i | −0.343010 | − | 0.364566i | ||||
\(924\) | 5.57647 | + | 3.72608i | 0.183452 | + | 0.122579i | ||||
\(925\) | 0.646800 | − | 0.968005i | 0.0212667 | − | 0.0318278i | ||||
\(926\) | 39.2143 | + | 16.2431i | 1.28866 | + | 0.533782i | ||||
\(927\) | −29.4951 | − | 12.2173i | −0.968746 | − | 0.401268i | ||||
\(928\) | −28.2039 | − | 18.8452i | −0.925838 | − | 0.618625i | ||||
\(929\) | −0.661069 | − | 3.32342i | −0.0216890 | − | 0.109038i | 0.968424 | − | 0.249308i | \(-0.0802030\pi\) |
−0.990113 | + | 0.140270i | \(0.955203\pi\) | |||||||
\(930\) | −2.96493 | + | 1.98111i | −0.0972240 | + | 0.0649630i | ||||
\(931\) | − | 28.5096i | − | 0.934364i | ||||||
\(932\) | −47.0258 | − | 70.3790i | −1.54038 | − | 2.30534i | ||||
\(933\) | 8.13679 | + | 19.6439i | 0.266387 | + | 0.643114i | ||||
\(934\) | 5.09990 | − | 5.09990i | 0.166874 | − | 0.166874i | ||||
\(935\) | 5.88930 | − | 1.51799i | 0.192601 | − | 0.0496436i | ||||
\(936\) | −9.50395 | + | 13.3265i | −0.310646 | + | 0.435591i | ||||
\(937\) | −3.64856 | − | 8.80841i | −0.119193 | − | 0.287758i | 0.853011 | − | 0.521893i | \(-0.174774\pi\) |
−0.972204 | + | 0.234135i | \(0.924774\pi\) | |||||||
\(938\) | −0.275542 | + | 1.38524i | −0.00899676 | + | 0.0452298i | ||||
\(939\) | 12.4010 | − | 12.4010i | 0.404691 | − | 0.404691i | ||||
\(940\) | 0.0535008 | − | 0.268966i | 0.00174500 | − | 0.00877272i | ||||
\(941\) | −47.5796 | + | 9.46417i | −1.55105 | + | 0.308523i | −0.894956 | − | 0.446155i | \(-0.852793\pi\) |
−0.656095 | + | 0.754678i | \(0.727793\pi\) | |||||||
\(942\) | 18.3702 | − | 27.4930i | 0.598534 | − | 0.895770i | ||||
\(943\) | 13.7763 | + | 33.2589i | 0.448618 | + | 1.08306i | ||||
\(944\) | 16.9376 | − | 7.01577i | 0.551271 | − | 0.228344i | ||||
\(945\) | −0.347245 | − | 1.74572i | −0.0112959 | − | 0.0567882i | ||||
\(946\) | −47.8891 | − | 31.9985i | −1.55701 | − | 1.04036i | ||||
\(947\) | 23.5712 | − | 15.7498i | 0.765960 | − | 0.511798i | −0.110147 | − | 0.993915i | \(-0.535132\pi\) |
0.876107 | + | 0.482117i | \(0.160132\pi\) | |||||||
\(948\) | 4.52244 | − | 4.52244i | 0.146882 | − | 0.146882i | ||||
\(949\) | 15.6097 | + | 0.475547i | 0.506713 | + | 0.0154369i | ||||
\(950\) | −46.2886 | + | 19.1734i | −1.50180 | + | 0.622066i | ||||
\(951\) | 10.0160 | + | 10.0160i | 0.324790 | + | 0.324790i | ||||
\(952\) | −5.03074 | + | 5.62729i | −0.163047 | + | 0.182382i | ||||
\(953\) | 44.1689i | 1.43077i | 0.698731 | + | 0.715385i | \(0.253749\pi\) | ||||
−0.698731 | + | 0.715385i | \(0.746251\pi\) | |||||||
\(954\) | −16.6833 | − | 6.91043i | −0.540141 | − | 0.223734i | ||||
\(955\) | −0.912354 | + | 4.58671i | −0.0295231 | + | 0.148423i | ||||
\(956\) | 39.8013 | 1.28727 | ||||||||
\(957\) | 6.14358 | + | 9.19452i | 0.198594 | + | 0.297216i | ||||
\(958\) | 62.5695 | + | 41.8076i | 2.02153 | + | 1.35074i | ||||
\(959\) | 2.56460 | + | 12.8931i | 0.0828154 | + | 0.416341i | ||||
\(960\) | −1.58049 | − | 3.81565i | −0.0510102 | − | 0.123150i | ||||
\(961\) | −5.66023 | − | 2.34455i | −0.182588 | − | 0.0756305i | ||||
\(962\) | −1.79876 | + | 0.681671i | −0.0579944 | + | 0.0219780i | ||||
\(963\) | 22.0866 | − | 33.0549i | 0.711731 | − | 1.06518i | ||||
\(964\) | 11.9851 | + | 17.9370i | 0.386014 | + | 0.577711i | ||||
\(965\) | −8.57620 | − | 8.57620i | −0.276078 | − | 0.276078i | ||||
\(966\) | 6.30074 | − | 4.21002i | 0.202723 | − | 0.135455i | ||||
\(967\) | −12.6704 | + | 30.5891i | −0.407453 | + | 0.983679i | 0.578352 | + | 0.815787i | \(0.303696\pi\) |
−0.985805 | + | 0.167892i | \(0.946304\pi\) | |||||||
\(968\) | −0.330377 | − | 0.330377i | −0.0106187 | − | 0.0106187i | ||||
\(969\) | −13.3598 | − | 4.67760i | −0.429180 | − | 0.150266i | ||||
\(970\) | 11.8315 | + | 11.8315i | 0.379887 | + | 0.379887i | ||||
\(971\) | −6.67876 | − | 16.1240i | −0.214332 | − | 0.517443i | 0.779748 | − | 0.626093i | \(-0.215347\pi\) |
−0.994080 | + | 0.108651i | \(0.965347\pi\) | |||||||
\(972\) | −23.8968 | − | 35.7641i | −0.766491 | − | 1.14714i | ||||
\(973\) | −2.15089 | −0.0689545 | ||||||||
\(974\) | −15.7440 | + | 79.1503i | −0.504469 | + | 2.53614i | ||||
\(975\) | 11.3987 | + | 5.13355i | 0.365052 | + | 0.164405i | ||||
\(976\) | 5.36805 | − | 1.06777i | 0.171827 | − | 0.0341786i | ||||
\(977\) | −9.73737 | + | 4.03335i | −0.311526 | + | 0.129038i | −0.532968 | − | 0.846135i | \(-0.678924\pi\) |
0.221442 | + | 0.975173i | \(0.428924\pi\) | |||||||
\(978\) | −4.49399 | + | 10.8494i | −0.143702 | + | 0.346927i | ||||
\(979\) | −26.6922 | + | 5.30942i | −0.853088 | + | 0.169690i | ||||
\(980\) | −1.49288 | − | 7.50520i | −0.0476882 | − | 0.239745i | ||||
\(981\) | 23.7613 | + | 35.5614i | 0.758641 | + | 1.13539i | ||||
\(982\) | − | 60.3686i | − | 1.92644i | ||||||
\(983\) | 4.94910 | − | 24.8808i | 0.157852 | − | 0.793574i | −0.818013 | − | 0.575199i | \(-0.804924\pi\) |
0.975865 | − | 0.218375i | \(-0.0700756\pi\) | |||||||
\(984\) | 9.22674 | − | 3.82184i | 0.294138 | − | 0.121836i | ||||
\(985\) | 9.52701 | 0.303556 | ||||||||
\(986\) | −38.1249 | + | 18.3513i | −1.21414 | + | 0.584423i | ||||
\(987\) | 0.155314i | 0.00494369i | ||||||||
\(988\) | 47.2858 | + | 10.9124i | 1.50436 | + | 0.347170i | ||||
\(989\) | −31.7194 | + | 21.1942i | −1.00862 | + | 0.673937i | ||||
\(990\) | − | 8.03486i | − | 0.255365i | ||||||
\(991\) | 54.7202 | + | 10.8845i | 1.73824 | + | 0.345758i | 0.959527 | − | 0.281617i | \(-0.0908709\pi\) |
0.778717 | + | 0.627375i | \(0.215871\pi\) | |||||||
\(992\) | −20.1354 | + | 30.1348i | −0.639300 | + | 0.956780i | ||||
\(993\) | −6.26304 | + | 9.37330i | −0.198752 | + | 0.297453i | ||||
\(994\) | −8.55973 | + | 3.54555i | −0.271498 | + | 0.112458i | ||||
\(995\) | 4.63473 | − | 1.91977i | 0.146931 | − | 0.0608608i | ||||
\(996\) | −4.50244 | + | 6.73838i | −0.142665 | + | 0.213514i | ||||
\(997\) | −11.3824 | + | 17.0350i | −0.360485 | + | 0.539504i | −0.966738 | − | 0.255768i | \(-0.917672\pi\) |
0.606253 | + | 0.795272i | \(0.292672\pi\) | |||||||
\(998\) | 81.0564 | + | 16.1231i | 2.56580 | + | 0.510369i | ||||
\(999\) | − | 0.960687i | − | 0.0303948i |
(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 | 221.2.ba.a.148.18 | yes | 152 | |
13.8 | odd | 4 | 221.2.z.a.216.2 | yes | 152 | ||
17.10 | odd | 16 | 221.2.z.a.44.2 | ✓ | 152 | ||
221.112 | even | 16 | inner | 221.2.ba.a.112.18 | yes | 152 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
221.2.z.a.44.2 | ✓ | 152 | 17.10 | odd | 16 | ||
221.2.z.a.216.2 | yes | 152 | 13.8 | odd | 4 | ||
221.2.ba.a.112.18 | yes | 152 | 221.112 | even | 16 | inner | |
221.2.ba.a.148.18 | yes | 152 | 1.1 | even | 1 | trivial |