Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [207,2,Mod(5,207)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(207, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([55, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("207.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 207 = 3^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 207.o (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.65290332184\) |
Analytic rank: | \(0\) |
Dimension: | \(440\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 11.16 | ||
Character | \(\chi\) | \(=\) | 207.11 |
Dual form | 207.2.o.a.113.16 |
$q$-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 \(\left(\mathbb{Z}/207\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{9}{22}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.15577 | − | 0.0550561i | 0.817253 | − | 0.0389306i | 0.365208 | − | 0.930926i | \(-0.380998\pi\) |
0.452045 | + | 0.891995i | \(0.350695\pi\) | |||||||
\(3\) | 1.68053 | + | 0.419325i | 0.970252 | + | 0.242098i | ||||
\(4\) | −0.658169 | + | 0.0628475i | −0.329085 | + | 0.0314238i | ||||
\(5\) | 1.35993 | + | 1.29669i | 0.608181 | + | 0.579899i | 0.930300 | − | 0.366800i | \(-0.119547\pi\) |
−0.322119 | + | 0.946699i | \(0.604395\pi\) | |||||||
\(6\) | 1.96539 | + | 0.392121i | 0.802367 | + | 0.160083i | ||||
\(7\) | −0.328461 | − | 1.70422i | −0.124147 | − | 0.644133i | −0.989681 | − | 0.143285i | \(-0.954234\pi\) |
0.865535 | − | 0.500848i | \(-0.166979\pi\) | |||||||
\(8\) | −3.04784 | + | 0.438213i | −1.07757 | + | 0.154932i | ||||
\(9\) | 2.64833 | + | 1.40937i | 0.882778 | + | 0.469791i | ||||
\(10\) | 1.64316 | + | 1.42381i | 0.519613 | + | 0.450248i | ||||
\(11\) | 1.28597 | − | 0.662964i | 0.387735 | − | 0.199891i | −0.253327 | − | 0.967381i | \(-0.581525\pi\) |
0.641061 | + | 0.767490i | \(0.278494\pi\) | |||||||
\(12\) | −1.13242 | − | 0.170370i | −0.326903 | − | 0.0491816i | ||||
\(13\) | −3.21393 | − | 0.619434i | −0.891383 | − | 0.171800i | −0.277058 | − | 0.960853i | \(-0.589359\pi\) |
−0.614325 | + | 0.789053i | \(0.710572\pi\) | |||||||
\(14\) | −0.473453 | − | 1.95160i | −0.126536 | − | 0.521587i | ||||
\(15\) | 1.74167 | + | 2.74938i | 0.449696 | + | 0.709887i | ||||
\(16\) | −2.20005 | + | 0.424025i | −0.550012 | + | 0.106006i | ||||
\(17\) | −0.539040 | − | 1.18033i | −0.130736 | − | 0.286273i | 0.832932 | − | 0.553376i | \(-0.186661\pi\) |
−0.963668 | + | 0.267103i | \(0.913933\pi\) | |||||||
\(18\) | 3.13846 | + | 1.48311i | 0.739742 | + | 0.349571i | ||||
\(19\) | 0.474253 | + | 0.216584i | 0.108801 | + | 0.0496878i | 0.469072 | − | 0.883160i | \(-0.344588\pi\) |
−0.360271 | + | 0.932848i | \(0.617316\pi\) | |||||||
\(20\) | −0.976560 | − | 0.767975i | −0.218365 | − | 0.171725i | ||||
\(21\) | 0.162634 | − | 3.00171i | 0.0354897 | − | 0.655027i | ||||
\(22\) | 1.44979 | − | 0.837035i | 0.309096 | − | 0.178456i | ||||
\(23\) | −4.56694 | + | 1.46392i | −0.952273 | + | 0.305248i | ||||
\(24\) | −5.30573 | − | 0.541608i | −1.08303 | − | 0.110555i | ||||
\(25\) | −0.0699058 | − | 1.46750i | −0.0139812 | − | 0.293501i | ||||
\(26\) | −3.74867 | − | 0.538977i | −0.735174 | − | 0.105702i | ||||
\(27\) | 3.85960 | + | 3.47900i | 0.742781 | + | 0.669534i | ||||
\(28\) | 0.323289 | + | 1.10102i | 0.0610958 | + | 0.208073i | ||||
\(29\) | 0.911812 | − | 9.54893i | 0.169319 | − | 1.77319i | −0.368013 | − | 0.929821i | \(-0.619962\pi\) |
0.537332 | − | 0.843371i | \(-0.319432\pi\) | |||||||
\(30\) | 2.16434 | + | 3.08176i | 0.395152 | + | 0.562651i | ||||
\(31\) | −4.12585 | + | 3.24461i | −0.741025 | + | 0.582748i | −0.915693 | − | 0.401879i | \(-0.868357\pi\) |
0.174668 | + | 0.984627i | \(0.444115\pi\) | |||||||
\(32\) | 3.46536 | − | 0.840688i | 0.612595 | − | 0.148614i | ||||
\(33\) | 2.43910 | − | 0.574888i | 0.424594 | − | 0.100075i | ||||
\(34\) | −0.687991 | − | 1.33452i | −0.117989 | − | 0.228868i | ||||
\(35\) | 1.76316 | − | 2.74353i | 0.298029 | − | 0.463742i | ||||
\(36\) | −1.83163 | − | 0.761165i | −0.305271 | − | 0.126861i | ||||
\(37\) | −1.84227 | + | 6.27421i | −0.302868 | + | 1.03147i | 0.657666 | + | 0.753310i | \(0.271544\pi\) |
−0.960534 | + | 0.278163i | \(0.910274\pi\) | |||||||
\(38\) | 0.560052 | + | 0.224211i | 0.0908525 | + | 0.0363719i | ||||
\(39\) | −5.14134 | − | 2.38865i | −0.823274 | − | 0.382491i | ||||
\(40\) | −4.71309 | − | 3.35617i | −0.745205 | − | 0.530658i | ||||
\(41\) | 3.29867 | − | 3.45954i | 0.515165 | − | 0.540290i | −0.413843 | − | 0.910348i | \(-0.635814\pi\) |
0.929009 | + | 0.370058i | \(0.120662\pi\) | |||||||
\(42\) | 0.0227052 | − | 3.47824i | 0.00350349 | − | 0.536705i | ||||
\(43\) | −6.23549 | + | 7.92908i | −0.950904 | + | 1.20917i | 0.0268972 | + | 0.999638i | \(0.491437\pi\) |
−0.977801 | + | 0.209535i | \(0.932805\pi\) | |||||||
\(44\) | −0.804721 | + | 0.517162i | −0.121316 | + | 0.0779652i | ||||
\(45\) | 1.77403 | + | 5.35073i | 0.264457 | + | 0.797640i | ||||
\(46\) | −5.19774 | + | 1.94339i | −0.766365 | + | 0.286538i | ||||
\(47\) | −0.800711 | − | 0.462291i | −0.116796 | − | 0.0674320i | 0.440464 | − | 0.897770i | \(-0.354814\pi\) |
−0.557260 | + | 0.830338i | \(0.688147\pi\) | |||||||
\(48\) | −3.87504 | − | 0.209952i | −0.559314 | − | 0.0303039i | ||||
\(49\) | 3.70211 | − | 1.48210i | 0.528873 | − | 0.211729i | ||||
\(50\) | −0.161590 | − | 1.69225i | −0.0228523 | − | 0.239320i | ||||
\(51\) | −0.410927 | − | 2.20961i | −0.0575413 | − | 0.309407i | ||||
\(52\) | 2.15424 | + | 0.205705i | 0.298739 | + | 0.0285261i | ||||
\(53\) | 6.01642 | + | 6.94332i | 0.826419 | + | 0.953739i | 0.999514 | − | 0.0311666i | \(-0.00992224\pi\) |
−0.173095 | + | 0.984905i | \(0.555377\pi\) | |||||||
\(54\) | 4.65236 | + | 3.80843i | 0.633106 | + | 0.518262i | ||||
\(55\) | 2.60850 | + | 0.765923i | 0.351729 | + | 0.103277i | ||||
\(56\) | 1.74791 | + | 5.05024i | 0.233574 | + | 0.674867i | ||||
\(57\) | 0.706176 | + | 0.562842i | 0.0935352 | + | 0.0745502i | ||||
\(58\) | 0.528118 | − | 11.0866i | 0.0693454 | − | 1.45574i | ||||
\(59\) | 1.52043 | − | 7.88872i | 0.197943 | − | 1.02702i | −0.737981 | − | 0.674821i | \(-0.764221\pi\) |
0.935924 | − | 0.352203i | \(-0.114567\pi\) | |||||||
\(60\) | −1.31910 | − | 1.70010i | −0.170295 | − | 0.219482i | ||||
\(61\) | −1.99225 | + | 4.97639i | −0.255081 | + | 0.637162i | −0.999534 | − | 0.0305128i | \(-0.990286\pi\) |
0.744453 | + | 0.667675i | \(0.232710\pi\) | |||||||
\(62\) | −4.58990 | + | 3.97717i | −0.582918 | + | 0.505101i | ||||
\(63\) | 1.53200 | − | 4.97626i | 0.193014 | − | 0.626949i | ||||
\(64\) | 8.25844 | − | 2.42490i | 1.03231 | − | 0.303112i | ||||
\(65\) | −3.56751 | − | 5.00987i | −0.442495 | − | 0.621397i | ||||
\(66\) | 2.78739 | − | 0.798726i | 0.343104 | − | 0.0983164i | ||||
\(67\) | 0.990584 | − | 1.92146i | 0.121019 | − | 0.234744i | −0.820542 | − | 0.571586i | \(-0.806328\pi\) |
0.941561 | + | 0.336842i | \(0.109359\pi\) | |||||||
\(68\) | 0.428960 | + | 0.742981i | 0.0520191 | + | 0.0900997i | ||||
\(69\) | −8.28872 | + | 0.545120i | −0.997844 | + | 0.0656247i | ||||
\(70\) | 1.88676 | − | 3.26797i | 0.225511 | − | 0.390597i | ||||
\(71\) | 2.73794 | + | 4.26031i | 0.324933 | + | 0.505606i | 0.964837 | − | 0.262849i | \(-0.0846621\pi\) |
−0.639904 | + | 0.768455i | \(0.721026\pi\) | |||||||
\(72\) | −8.68930 | − | 3.13501i | −1.02404 | − | 0.369465i | ||||
\(73\) | −2.08929 | + | 4.57490i | −0.244533 | + | 0.535452i | −0.991607 | − | 0.129289i | \(-0.958731\pi\) |
0.747074 | + | 0.664741i | \(0.231458\pi\) | |||||||
\(74\) | −1.78381 | + | 7.35297i | −0.207364 | + | 0.854766i | ||||
\(75\) | 0.497883 | − | 2.49549i | 0.0574905 | − | 0.288154i | ||||
\(76\) | −0.325751 | − | 0.112743i | −0.0373662 | − | 0.0129326i | ||||
\(77\) | −1.55222 | − | 1.97381i | −0.176892 | − | 0.224937i | ||||
\(78\) | −6.07372 | − | 2.47767i | −0.687714 | − | 0.280541i | ||||
\(79\) | −12.2233 | + | 4.23053i | −1.37523 | + | 0.475972i | −0.911972 | − | 0.410252i | \(-0.865441\pi\) |
−0.463257 | + | 0.886224i | \(0.653319\pi\) | |||||||
\(80\) | −3.54175 | − | 2.27614i | −0.395979 | − | 0.254481i | ||||
\(81\) | 5.02733 | + | 7.46498i | 0.558592 | + | 0.829442i | ||||
\(82\) | 3.62203 | − | 4.18005i | 0.399987 | − | 0.461609i | ||||
\(83\) | 1.97130 | − | 1.87963i | 0.216378 | − | 0.206316i | −0.574136 | − | 0.818760i | \(-0.694662\pi\) |
0.790514 | + | 0.612444i | \(0.209813\pi\) | |||||||
\(84\) | 0.0816093 | + | 1.98585i | 0.00890431 | + | 0.216675i | ||||
\(85\) | 0.797471 | − | 2.30414i | 0.0864979 | − | 0.249919i | ||||
\(86\) | −6.77026 | + | 9.50750i | −0.730056 | + | 1.02522i | ||||
\(87\) | 5.53643 | − | 15.6649i | 0.593568 | − | 1.67945i | ||||
\(88\) | −3.62891 | + | 2.58414i | −0.386843 | + | 0.275470i | ||||
\(89\) | −0.261218 | + | 1.81681i | −0.0276891 | + | 0.192582i | −0.998971 | − | 0.0453489i | \(-0.985560\pi\) |
0.971282 | + | 0.237931i | \(0.0764691\pi\) | |||||||
\(90\) | 2.34496 | + | 6.08655i | 0.247181 | + | 0.641578i | ||||
\(91\) | 5.68069i | 0.595498i | ||||||||
\(92\) | 2.91382 | − | 1.25053i | 0.303786 | − | 0.130376i | ||||
\(93\) | −8.29414 | + | 3.72257i | −0.860063 | + | 0.386012i | ||||
\(94\) | −0.950890 | − | 0.490218i | −0.0980768 | − | 0.0505621i | ||||
\(95\) | 0.364109 | + | 0.909501i | 0.0373568 | + | 0.0933129i | ||||
\(96\) | 6.17615 | + | 0.0403165i | 0.630351 | + | 0.00411479i | ||||
\(97\) | 11.1861 | + | 2.71372i | 1.13578 | + | 0.275537i | 0.759206 | − | 0.650851i | \(-0.225588\pi\) |
0.376572 | + | 0.926387i | \(0.377103\pi\) | |||||||
\(98\) | 4.19719 | − | 1.91679i | 0.423980 | − | 0.193625i | ||||
\(99\) | 4.34004 | + | 0.0566640i | 0.436191 | + | 0.00569495i | ||||
\(100\) | 0.138239 | + | 0.961472i | 0.0138239 | + | 0.0961472i | ||||
\(101\) | −0.281173 | − | 0.294886i | −0.0279778 | − | 0.0293422i | 0.709596 | − | 0.704608i | \(-0.248877\pi\) |
−0.737574 | + | 0.675266i | \(0.764029\pi\) | |||||||
\(102\) | −0.596590 | − | 2.53118i | −0.0590712 | − | 0.250624i | ||||
\(103\) | 17.2986 | + | 0.824032i | 1.70448 | + | 0.0811943i | 0.877057 | − | 0.480387i | \(-0.159504\pi\) |
0.827422 | + | 0.561581i | \(0.189807\pi\) | |||||||
\(104\) | 10.0670 | + | 0.479549i | 0.987148 | + | 0.0470237i | ||||
\(105\) | 4.11347 | − | 3.87124i | 0.401434 | − | 0.377794i | ||||
\(106\) | 7.33588 | + | 7.69365i | 0.712523 | + | 0.747273i | ||||
\(107\) | −1.06272 | − | 7.39141i | −0.102737 | − | 0.714554i | −0.974461 | − | 0.224556i | \(-0.927907\pi\) |
0.871724 | − | 0.489998i | \(-0.163002\pi\) | |||||||
\(108\) | −2.75892 | − | 2.04720i | −0.265477 | − | 0.196992i | ||||
\(109\) | 17.8758 | − | 8.16361i | 1.71219 | − | 0.781932i | 0.715684 | − | 0.698424i | \(-0.246115\pi\) |
0.996507 | − | 0.0835078i | \(-0.0266124\pi\) | |||||||
\(110\) | 3.05699 | + | 0.741618i | 0.291473 | + | 0.0707105i | ||||
\(111\) | −5.72692 | + | 9.77145i | −0.543575 | + | 0.927465i | ||||
\(112\) | 1.44526 | + | 3.61008i | 0.136564 | + | 0.341121i | ||||
\(113\) | 10.0367 | + | 5.17427i | 0.944172 | + | 0.486754i | 0.860337 | − | 0.509725i | \(-0.170253\pi\) |
0.0838345 | + | 0.996480i | \(0.473283\pi\) | |||||||
\(114\) | 0.847165 | + | 0.611637i | 0.0793443 | + | 0.0572850i | ||||
\(115\) | −8.10899 | − | 3.93109i | −0.756167 | − | 0.366576i | ||||
\(116\) | 6.34211i | 0.588851i | ||||||||
\(117\) | −7.63853 | − | 6.17009i | −0.706183 | − | 0.570425i | ||||
\(118\) | 1.32294 | − | 9.20126i | 0.121787 | − | 0.847045i | ||||
\(119\) | −1.83449 | + | 1.30633i | −0.168167 | + | 0.119751i | ||||
\(120\) | −6.51314 | − | 7.61645i | −0.594565 | − | 0.695284i | ||||
\(121\) | −5.16643 | + | 7.25523i | −0.469675 | + | 0.659566i | ||||
\(122\) | −2.02860 | + | 5.86125i | −0.183661 | + | 0.530653i | ||||
\(123\) | 6.99417 | − | 4.43064i | 0.630643 | − | 0.399497i | ||||
\(124\) | 2.51159 | − | 2.39480i | 0.225548 | − | 0.215059i | ||||
\(125\) | 7.96042 | − | 9.18681i | 0.712001 | − | 0.821694i | ||||
\(126\) | 1.49667 | − | 5.83576i | 0.133334 | − | 0.519891i | ||||
\(127\) | −3.07414 | − | 1.97563i | −0.272786 | − | 0.175309i | 0.397095 | − | 0.917778i | \(-0.370018\pi\) |
−0.669881 | + | 0.742469i | \(0.733655\pi\) | |||||||
\(128\) | 2.67184 | − | 0.924733i | 0.236159 | − | 0.0817356i | ||||
\(129\) | −13.8038 | + | 10.7103i | −1.21535 | + | 0.942991i | ||||
\(130\) | −4.39905 | − | 5.59384i | −0.385822 | − | 0.490612i | ||||
\(131\) | 5.33339 | + | 1.84590i | 0.465981 | + | 0.161277i | 0.549962 | − | 0.835190i | \(-0.314642\pi\) |
−0.0839811 | + | 0.996467i | \(0.526764\pi\) | |||||||
\(132\) | −1.56921 | + | 0.531665i | −0.136582 | + | 0.0462755i | ||||
\(133\) | 0.213333 | − | 0.879370i | 0.0184983 | − | 0.0762510i | ||||
\(134\) | 1.03910 | − | 2.27531i | 0.0897645 | − | 0.196557i | ||||
\(135\) | 0.737606 | + | 9.73593i | 0.0634830 | + | 0.837936i | ||||
\(136\) | 2.16014 | + | 3.36125i | 0.185231 | + | 0.288225i | ||||
\(137\) | −8.34593 | + | 14.4556i | −0.713041 | + | 1.23502i | 0.250669 | + | 0.968073i | \(0.419349\pi\) |
−0.963710 | + | 0.266950i | \(0.913984\pi\) | |||||||
\(138\) | −9.54984 | + | 1.08638i | −0.812937 | + | 0.0924787i | ||||
\(139\) | 0.423057 | + | 0.732756i | 0.0358832 | + | 0.0621515i | 0.883409 | − | 0.468602i | \(-0.155242\pi\) |
−0.847526 | + | 0.530754i | \(0.821909\pi\) | |||||||
\(140\) | −0.988034 | + | 1.91652i | −0.0835042 | + | 0.161975i | ||||
\(141\) | −1.15177 | − | 1.11265i | −0.0969961 | − | 0.0937020i | ||||
\(142\) | 3.39898 | + | 4.77320i | 0.285236 | + | 0.400558i | ||||
\(143\) | −4.54368 | + | 1.33414i | −0.379961 | + | 0.111567i | ||||
\(144\) | −6.42407 | − | 1.97773i | −0.535339 | − | 0.164811i | ||||
\(145\) | 13.6220 | − | 11.8036i | 1.13125 | − | 0.980232i | ||||
\(146\) | −2.16286 | + | 5.40257i | −0.179000 | + | 0.447120i | ||||
\(147\) | 6.84297 | − | 0.938321i | 0.564399 | − | 0.0773914i | ||||
\(148\) | 0.818209 | − | 4.24527i | 0.0672564 | − | 0.348959i | ||||
\(149\) | −0.434759 | + | 9.12672i | −0.0356169 | + | 0.747690i | 0.908461 | + | 0.417969i | \(0.137258\pi\) |
−0.944078 | + | 0.329721i | \(0.893045\pi\) | |||||||
\(150\) | 0.438046 | − | 2.91163i | 0.0357663 | − | 0.237733i | ||||
\(151\) | −5.71783 | − | 16.5206i | −0.465310 | − | 1.34443i | −0.896851 | − | 0.442332i | \(-0.854151\pi\) |
0.431541 | − | 0.902093i | \(-0.357970\pi\) | |||||||
\(152\) | −1.54036 | − | 0.452290i | −0.124940 | − | 0.0366856i | ||||
\(153\) | 0.235973 | − | 3.88562i | 0.0190773 | − | 0.314134i | ||||
\(154\) | −1.90269 | − | 2.19582i | −0.153323 | − | 0.176944i | ||||
\(155\) | −9.81814 | − | 0.937519i | −0.788612 | − | 0.0753033i | ||||
\(156\) | 3.53399 | + | 1.24902i | 0.282946 | + | 0.100001i | ||||
\(157\) | −0.595043 | − | 6.23157i | −0.0474896 | − | 0.497334i | −0.987658 | − | 0.156624i | \(-0.949939\pi\) |
0.940169 | − | 0.340709i | \(-0.110667\pi\) | |||||||
\(158\) | −13.8944 | + | 5.56249i | −1.10538 | + | 0.442528i | ||||
\(159\) | 7.19924 | + | 14.1913i | 0.570937 | + | 1.12544i | ||||
\(160\) | 5.80278 | + | 3.35023i | 0.458750 | + | 0.264859i | ||||
\(161\) | 3.99490 | + | 7.30221i | 0.314842 | + | 0.575495i | ||||
\(162\) | 6.22144 | + | 8.35102i | 0.488802 | + | 0.656118i | ||||
\(163\) | −7.45458 | + | 4.79077i | −0.583888 | + | 0.375242i | −0.798985 | − | 0.601351i | \(-0.794629\pi\) |
0.215098 | + | 0.976593i | \(0.430993\pi\) | |||||||
\(164\) | −1.95366 | + | 2.48428i | −0.152555 | + | 0.193990i | ||||
\(165\) | 4.06247 | + | 2.38096i | 0.316263 | + | 0.185358i | ||||
\(166\) | 2.17488 | − | 2.28095i | 0.168804 | − | 0.177036i | ||||
\(167\) | −8.05922 | − | 5.73894i | −0.623641 | − | 0.444093i | 0.224054 | − | 0.974577i | \(-0.428071\pi\) |
−0.847695 | + | 0.530484i | \(0.822010\pi\) | |||||||
\(168\) | 0.819707 | + | 9.22000i | 0.0632417 | + | 0.711339i | ||||
\(169\) | −2.12316 | − | 0.849984i | −0.163320 | − | 0.0653834i | ||||
\(170\) | 0.794837 | − | 2.70696i | 0.0609612 | − | 0.207615i | ||||
\(171\) | 0.950732 | + | 1.24199i | 0.0727043 | + | 0.0949771i | ||||
\(172\) | 3.60569 | − | 5.61056i | 0.274931 | − | 0.427801i | ||||
\(173\) | −0.688046 | − | 1.33462i | −0.0523112 | − | 0.101470i | 0.861231 | − | 0.508214i | \(-0.169694\pi\) |
−0.913542 | + | 0.406745i | \(0.866664\pi\) | |||||||
\(174\) | 5.53640 | − | 18.4098i | 0.419713 | − | 1.39564i | ||||
\(175\) | −2.47798 | + | 0.601152i | −0.187318 | + | 0.0454428i | ||||
\(176\) | −2.54808 | + | 2.00384i | −0.192069 | + | 0.151045i | ||||
\(177\) | 5.86306 | − | 12.6196i | 0.440694 | − | 0.948551i | ||||
\(178\) | −0.201882 | + | 2.11420i | −0.0151317 | + | 0.158466i | ||||
\(179\) | −3.78038 | − | 12.8748i | −0.282559 | − | 0.962308i | −0.971411 | − | 0.237406i | \(-0.923703\pi\) |
0.688851 | − | 0.724902i | \(-0.258115\pi\) | |||||||
\(180\) | −1.50389 | − | 3.41019i | −0.112093 | − | 0.254181i | ||||
\(181\) | −16.9894 | − | 2.44271i | −1.26281 | − | 0.181565i | −0.521806 | − | 0.853064i | \(-0.674742\pi\) |
−0.741005 | + | 0.671499i | \(0.765651\pi\) | |||||||
\(182\) | 0.312757 | + | 6.56557i | 0.0231831 | + | 0.486672i | ||||
\(183\) | −5.43475 | + | 7.52756i | −0.401748 | + | 0.556453i | ||||
\(184\) | 13.2778 | − | 6.46308i | 0.978852 | − | 0.476465i | ||||
\(185\) | −10.6411 | + | 6.14364i | −0.782349 | + | 0.451689i | ||||
\(186\) | −9.38118 | + | 4.75908i | −0.687861 | + | 0.348953i | ||||
\(187\) | −1.47571 | − | 1.16051i | −0.107914 | − | 0.0848648i | ||||
\(188\) | 0.556057 | + | 0.253943i | 0.0405546 | + | 0.0185207i | ||||
\(189\) | 4.66124 | − | 7.72032i | 0.339055 | − | 0.561570i | ||||
\(190\) | 0.470901 | + | 1.03113i | 0.0341627 | + | 0.0748059i | ||||
\(191\) | −9.75506 | + | 1.88013i | −0.705851 | + | 0.136042i | −0.529530 | − | 0.848291i | \(-0.677632\pi\) |
−0.176321 | + | 0.984333i | \(0.556420\pi\) | |||||||
\(192\) | 14.8953 | − | 0.612129i | 1.07498 | − | 0.0441766i | ||||
\(193\) | −0.443757 | − | 1.82919i | −0.0319424 | − | 0.131668i | 0.953608 | − | 0.301051i | \(-0.0973376\pi\) |
−0.985550 | + | 0.169383i | \(0.945822\pi\) | |||||||
\(194\) | 13.0780 | + | 2.52058i | 0.938945 | + | 0.180967i | ||||
\(195\) | −3.89453 | − | 9.91516i | −0.278893 | − | 0.710039i | ||||
\(196\) | −2.34347 | + | 1.20814i | −0.167391 | + | 0.0862958i | ||||
\(197\) | −1.48516 | − | 1.28690i | −0.105813 | − | 0.0916876i | 0.600348 | − | 0.799739i | \(-0.295029\pi\) |
−0.706161 | + | 0.708052i | \(0.749574\pi\) | |||||||
\(198\) | 5.01921 | − | 0.173455i | 0.356700 | − | 0.0123269i | ||||
\(199\) | −24.7090 | + | 3.55262i | −1.75158 | + | 0.251839i | −0.942105 | − | 0.335319i | \(-0.891156\pi\) |
−0.809472 | + | 0.587158i | \(0.800247\pi\) | |||||||
\(200\) | 0.856141 | + | 4.44208i | 0.0605383 | + | 0.314103i | ||||
\(201\) | 2.47042 | − | 2.81369i | 0.174250 | − | 0.198463i | ||||
\(202\) | −0.341207 | − | 0.325340i | −0.0240072 | − | 0.0228908i | ||||
\(203\) | −16.5729 | + | 1.58252i | −1.16319 | + | 0.111071i | ||||
\(204\) | 0.409328 | + | 1.42847i | 0.0286587 | + | 0.100013i | ||||
\(205\) | 8.97194 | − | 0.427386i | 0.626627 | − | 0.0298499i | ||||
\(206\) | 20.0385 | 1.39615 | ||||||||
\(207\) | −14.1580 | − | 2.55958i | −0.984048 | − | 0.177903i | ||||
\(208\) | 7.33345 | 0.508483 | ||||||||
\(209\) | 0.753463 | − | 0.0358919i | 0.0521182 | − | 0.00248269i | ||||
\(210\) | 4.54109 | − | 4.70074i | 0.313365 | − | 0.324382i | ||||
\(211\) | 6.91945 | − | 0.660727i | 0.476354 | − | 0.0454863i | 0.145882 | − | 0.989302i | \(-0.453398\pi\) |
0.330472 | + | 0.943816i | \(0.392792\pi\) | |||||||
\(212\) | −4.39619 | − | 4.19176i | −0.301932 | − | 0.287891i | ||||
\(213\) | 2.81472 | + | 8.30765i | 0.192861 | + | 0.569231i | ||||
\(214\) | −1.63521 | − | 8.48426i | −0.111780 | − | 0.579972i | ||||
\(215\) | −18.7614 | + | 2.69749i | −1.27952 | + | 0.183967i | ||||
\(216\) | −13.2880 | − | 8.91211i | −0.904134 | − | 0.606392i | ||||
\(217\) | 6.88469 | + | 5.96562i | 0.467363 | + | 0.404973i | ||||
\(218\) | 20.2109 | − | 10.4194i | 1.36885 | − | 0.705693i | ||||
\(219\) | −5.42948 | + | 6.81215i | −0.366890 | + | 0.460323i | ||||
\(220\) | −1.76497 | − | 0.340170i | −0.118994 | − | 0.0229342i | ||||
\(221\) | 1.00130 | + | 4.12740i | 0.0673545 | + | 0.277639i | ||||
\(222\) | −6.08103 | + | 11.6089i | −0.408132 | + | 0.779136i | ||||
\(223\) | −26.3394 | + | 5.07651i | −1.76382 | + | 0.339948i | −0.965125 | − | 0.261789i | \(-0.915688\pi\) |
−0.798694 | + | 0.601737i | \(0.794476\pi\) | |||||||
\(224\) | −2.57095 | − | 5.62960i | −0.171779 | − | 0.376143i | ||||
\(225\) | 1.88313 | − | 3.98496i | 0.125542 | − | 0.265664i | ||||
\(226\) | 11.8850 | + | 5.42769i | 0.790577 | + | 0.361044i | ||||
\(227\) | −17.6095 | − | 13.8482i | −1.16878 | − | 0.919140i | −0.170971 | − | 0.985276i | \(-0.554691\pi\) |
−0.997811 | + | 0.0661356i | \(0.978933\pi\) | |||||||
\(228\) | −0.500156 | − | 0.326064i | −0.0331237 | − | 0.0215941i | ||||
\(229\) | 2.06114 | − | 1.19000i | 0.136204 | − | 0.0786372i | −0.430350 | − | 0.902662i | \(-0.641610\pi\) |
0.566553 | + | 0.824025i | \(0.308276\pi\) | |||||||
\(230\) | −9.58856 | − | 4.09699i | −0.632251 | − | 0.270147i | ||||
\(231\) | −1.78088 | − | 3.96793i | −0.117174 | − | 0.261071i | ||||
\(232\) | 1.40541 | + | 29.5032i | 0.0922696 | + | 1.93698i | ||||
\(233\) | 25.3965 | + | 3.65146i | 1.66378 | + | 0.239215i | 0.909009 | − | 0.416776i | \(-0.136840\pi\) |
0.754768 | + | 0.655991i | \(0.227749\pi\) | |||||||
\(234\) | −9.16809 | − | 6.71066i | −0.599337 | − | 0.438690i | ||||
\(235\) | −0.489464 | − | 1.66696i | −0.0319291 | − | 0.108741i | ||||
\(236\) | −0.504911 | + | 5.28767i | −0.0328669 | + | 0.344198i | ||||
\(237\) | −22.3155 | + | 1.98397i | −1.44955 | + | 0.128873i | ||||
\(238\) | −2.04833 | + | 1.61082i | −0.132773 | + | 0.104414i | ||||
\(239\) | 14.6256 | − | 3.54813i | 0.946051 | − | 0.229510i | 0.267080 | − | 0.963674i | \(-0.413941\pi\) |
0.678971 | + | 0.734165i | \(0.262426\pi\) | |||||||
\(240\) | −4.99755 | − | 5.31026i | −0.322591 | − | 0.342776i | ||||
\(241\) | −9.12659 | − | 17.7031i | −0.587895 | − | 1.14036i | −0.975801 | − | 0.218659i | \(-0.929832\pi\) |
0.387906 | − | 0.921699i | \(-0.373198\pi\) | |||||||
\(242\) | −5.57176 | + | 8.66983i | −0.358166 | + | 0.557318i | ||||
\(243\) | 5.31831 | + | 14.6532i | 0.341169 | + | 0.940002i | ||||
\(244\) | 0.998482 | − | 3.40052i | 0.0639212 | − | 0.217696i | ||||
\(245\) | 6.95645 | + | 2.78494i | 0.444431 | + | 0.177923i | ||||
\(246\) | 7.83972 | − | 5.50587i | 0.499842 | − | 0.351042i | ||||
\(247\) | −1.39006 | − | 0.989854i | −0.0884471 | − | 0.0629829i | ||||
\(248\) | 11.1531 | − | 11.6970i | 0.708223 | − | 0.742763i | ||||
\(249\) | 4.10100 | − | 2.33215i | 0.259890 | − | 0.147794i | ||||
\(250\) | 8.69463 | − | 11.0561i | 0.549897 | − | 0.699250i | ||||
\(251\) | 5.89738 | − | 3.79001i | 0.372239 | − | 0.239224i | −0.341124 | − | 0.940018i | \(-0.610808\pi\) |
0.713363 | + | 0.700795i | \(0.247171\pi\) | |||||||
\(252\) | −0.695573 | + | 3.37150i | −0.0438170 | + | 0.212385i | ||||
\(253\) | −4.90243 | + | 4.91027i | −0.308213 | + | 0.308706i | ||||
\(254\) | −3.66177 | − | 2.11412i | −0.229760 | − | 0.132652i | ||||
\(255\) | 2.30636 | − | 3.53777i | 0.144430 | − | 0.221544i | ||||
\(256\) | −12.9440 | + | 5.18198i | −0.808998 | + | 0.323874i | ||||
\(257\) | −2.85609 | − | 29.9103i | −0.178158 | − | 1.86575i | −0.436505 | − | 0.899702i | \(-0.643784\pi\) |
0.258347 | − | 0.966052i | \(-0.416822\pi\) | |||||||
\(258\) | −15.3643 | + | 13.1387i | −0.956541 | + | 0.817977i | ||||
\(259\) | 11.2977 | + | 1.07880i | 0.702006 | + | 0.0670335i | ||||
\(260\) | 2.66288 | + | 3.07313i | 0.165145 | + | 0.190587i | ||||
\(261\) | 15.8728 | − | 24.0037i | 0.982501 | − | 1.48579i | ||||
\(262\) | 6.26581 | + | 1.83981i | 0.387103 | + | 0.113664i | ||||
\(263\) | 7.41686 | + | 21.4296i | 0.457343 | + | 1.32141i | 0.904318 | + | 0.426859i | \(0.140380\pi\) |
−0.446975 | + | 0.894546i | \(0.647499\pi\) | |||||||
\(264\) | −7.18208 | + | 2.82101i | −0.442026 | + | 0.173621i | ||||
\(265\) | −0.821429 | + | 17.2439i | −0.0504600 | + | 1.05928i | ||||
\(266\) | 0.198149 | − | 1.02810i | 0.0121493 | − | 0.0630366i | ||||
\(267\) | −1.20082 | + | 2.94367i | −0.0734890 | + | 0.180149i | ||||
\(268\) | −0.531212 | + | 1.32690i | −0.0324490 | + | 0.0810536i | ||||
\(269\) | −9.97359 | + | 8.64216i | −0.608100 | + | 0.526922i | −0.903576 | − | 0.428428i | \(-0.859067\pi\) |
0.295475 | + | 0.955350i | \(0.404522\pi\) | |||||||
\(270\) | 1.38853 | + | 11.2119i | 0.0845030 | + | 0.682334i | ||||
\(271\) | −23.2275 | + | 6.82021i | −1.41097 | + | 0.414298i | −0.896436 | − | 0.443172i | \(-0.853853\pi\) |
−0.514533 | + | 0.857470i | \(0.672035\pi\) | |||||||
\(272\) | 1.68640 | + | 2.36822i | 0.102253 | + | 0.143594i | ||||
\(273\) | −2.38206 | + | 9.54654i | −0.144169 | + | 0.577783i | ||||
\(274\) | −8.85011 | + | 17.1668i | −0.534655 | + | 1.03709i | ||||
\(275\) | −1.06280 | − | 1.84082i | −0.0640892 | − | 0.111006i | ||||
\(276\) | 5.42112 | − | 0.879707i | 0.326313 | − | 0.0529521i | ||||
\(277\) | 8.67690 | − | 15.0288i | 0.521345 | − | 0.902995i | −0.478347 | − | 0.878171i | \(-0.658764\pi\) |
0.999692 | − | 0.0248246i | \(-0.00790273\pi\) | |||||||
\(278\) | 0.529299 | + | 0.823606i | 0.0317453 | + | 0.0493966i | ||||
\(279\) | −15.4995 | + | 2.77793i | −0.927930 | + | 0.166310i | ||||
\(280\) | −4.17158 | + | 9.13449i | −0.249300 | + | 0.545890i | ||||
\(281\) | 4.36706 | − | 18.0012i | 0.260517 | − | 1.07386i | −0.679755 | − | 0.733439i | \(-0.737914\pi\) |
0.940272 | − | 0.340425i | \(-0.110571\pi\) | |||||||
\(282\) | −1.39243 | − | 1.22256i | −0.0829183 | − | 0.0728022i | ||||
\(283\) | −9.87814 | − | 3.41886i | −0.587194 | − | 0.203230i | 0.0172852 | − | 0.999851i | \(-0.494498\pi\) |
−0.604480 | + | 0.796621i | \(0.706619\pi\) | |||||||
\(284\) | −2.06978 | − | 2.63193i | −0.122819 | − | 0.156177i | ||||
\(285\) | 0.230518 | + | 1.68112i | 0.0136547 | + | 0.0995810i | ||||
\(286\) | −5.17800 | + | 1.79212i | −0.306181 | + | 0.105970i | ||||
\(287\) | −6.97929 | − | 4.48532i | −0.411975 | − | 0.264760i | ||||
\(288\) | 10.3623 | + | 2.65757i | 0.610603 | + | 0.156599i | ||||
\(289\) | 10.0300 | − | 11.5753i | 0.590001 | − | 0.680897i | ||||
\(290\) | 15.0941 | − | 14.3922i | 0.886356 | − | 0.845138i | ||||
\(291\) | 17.6606 | + | 9.25110i | 1.03528 | + | 0.542309i | ||||
\(292\) | 1.08758 | − | 3.14237i | 0.0636460 | − | 0.183893i | ||||
\(293\) | −4.22002 | + | 5.92618i | −0.246536 | + | 0.346211i | −0.919238 | − | 0.393702i | \(-0.871194\pi\) |
0.672702 | + | 0.739913i | \(0.265134\pi\) | |||||||
\(294\) | 7.85724 | − | 1.46123i | 0.458244 | − | 0.0852207i | ||||
\(295\) | 12.2969 | − | 8.75661i | 0.715955 | − | 0.509829i | ||||
\(296\) | 2.86551 | − | 19.9301i | 0.166555 | − | 1.15841i | ||||
\(297\) | 7.26979 | + | 1.91511i | 0.421836 | + | 0.111126i | ||||
\(298\) | 10.5723i | 0.612439i | ||||||||
\(299\) | 15.5846 | − | 1.87601i | 0.901281 | − | 0.108493i | ||||
\(300\) | −0.170856 | + | 1.67375i | −0.00986436 | + | 0.0966337i | ||||
\(301\) | 15.5610 | + | 8.02224i | 0.896920 | + | 0.462394i | ||||
\(302\) | −7.51805 | − | 18.7792i | −0.432615 | − | 1.08062i | ||||
\(303\) | −0.348865 | − | 0.613466i | −0.0200418 | − | 0.0352427i | ||||
\(304\) | −1.13522 | − | 0.275401i | −0.0651092 | − | 0.0157953i | ||||
\(305\) | −9.16218 | + | 4.18423i | −0.524625 | + | 0.239588i | ||||
\(306\) | 0.0588031 | − | 4.50388i | 0.00336155 | − | 0.257470i | ||||
\(307\) | 4.68616 | + | 32.5929i | 0.267453 | + | 1.86018i | 0.472374 | + | 0.881398i | \(0.343397\pi\) |
−0.204921 | + | 0.978778i | \(0.565694\pi\) | |||||||
\(308\) | 1.14568 | + | 1.20155i | 0.0652809 | + | 0.0684647i | ||||
\(309\) | 28.7251 | + | 8.63853i | 1.63412 | + | 0.491429i | ||||
\(310\) | −11.3991 | − | 0.543008i | −0.647427 | − | 0.0308408i | ||||
\(311\) | 7.47561 | + | 0.356107i | 0.423903 | + | 0.0201930i | 0.258450 | − | 0.966025i | \(-0.416788\pi\) |
0.165453 | + | 0.986218i | \(0.447091\pi\) | |||||||
\(312\) | 16.7167 | + | 5.02723i | 0.946398 | + | 0.284611i | ||||
\(313\) | 15.8348 | + | 16.6070i | 0.895035 | + | 0.938685i | 0.998433 | − | 0.0559547i | \(-0.0178203\pi\) |
−0.103399 | + | 0.994640i | \(0.532972\pi\) | |||||||
\(314\) | −1.03082 | − | 7.16951i | −0.0581725 | − | 0.404599i | ||||
\(315\) | 8.53610 | − | 4.78084i | 0.480955 | − | 0.269370i | ||||
\(316\) | 7.77913 | − | 3.55261i | 0.437610 | − | 0.199850i | ||||
\(317\) | 24.5425 | + | 5.95395i | 1.37845 | + | 0.334407i | 0.855431 | − | 0.517917i | \(-0.173292\pi\) |
0.523014 | + | 0.852324i | \(0.324807\pi\) | |||||||
\(318\) | 9.10199 | + | 16.0055i | 0.510414 | + | 0.897543i | ||||
\(319\) | −5.15803 | − | 12.8841i | −0.288794 | − | 0.721373i | ||||
\(320\) | 14.3753 | + | 7.41097i | 0.803602 | + | 0.414286i | ||||
\(321\) | 1.31347 | − | 12.8671i | 0.0733107 | − | 0.718170i | ||||
\(322\) | 5.01921 | + | 8.21974i | 0.279710 | + | 0.458068i | ||||
\(323\) | − | 0.676524i | − | 0.0376428i | ||||||
\(324\) | −3.77799 | − | 4.59726i | −0.209888 | − | 0.255404i | ||||
\(325\) | −0.684349 | + | 4.75975i | −0.0379608 | + | 0.264023i | ||||
\(326\) | −8.35202 | + | 5.94745i | −0.462576 | + | 0.329399i | ||||
\(327\) | 33.4640 | − | 6.22337i | 1.85056 | − | 0.344153i | ||||
\(328\) | −8.53779 | + | 11.9897i | −0.471421 | + | 0.662018i | ||||
\(329\) | −0.524841 | + | 1.51643i | −0.0289354 | + | 0.0836035i | ||||
\(330\) | 4.82637 | + | 2.52818i | 0.265683 | + | 0.139172i | ||||
\(331\) | −4.38965 | + | 4.18552i | −0.241277 | + | 0.230057i | −0.801063 | − | 0.598580i | \(-0.795732\pi\) |
0.559786 | + | 0.828637i | \(0.310883\pi\) | |||||||
\(332\) | −1.17932 | + | 1.36101i | −0.0647235 | + | 0.0746949i | ||||
\(333\) | −13.7217 | + | 14.0197i | −0.751942 | + | 0.768277i | ||||
\(334\) | −9.63057 | − | 6.18919i | −0.526961 | − | 0.338657i | ||||
\(335\) | 3.83868 | − | 1.32858i | 0.209729 | − | 0.0725880i | ||||
\(336\) | 0.914996 | + | 6.67287i | 0.0499171 | + | 0.364035i | ||||
\(337\) | 11.8480 | + | 15.0660i | 0.645402 | + | 0.820695i | 0.993144 | − | 0.116895i | \(-0.0372941\pi\) |
−0.347743 | + | 0.937590i | \(0.613052\pi\) | |||||||
\(338\) | −2.50068 | − | 0.865494i | −0.136019 | − | 0.0470767i | ||||
\(339\) | 14.6972 | + | 12.9041i | 0.798242 | + | 0.700856i | ||||
\(340\) | −0.380061 | + | 1.56663i | −0.0206117 | + | 0.0849627i | ||||
\(341\) | −3.15467 | + | 6.90776i | −0.170835 | + | 0.374076i | ||||
\(342\) | 1.16721 | + | 1.38311i | 0.0631154 | + | 0.0747900i | ||||
\(343\) | −10.3101 | − | 16.0428i | −0.556693 | − | 0.866231i | ||||
\(344\) | 15.5302 | − | 26.8990i | 0.837330 | − | 1.45030i | ||||
\(345\) | −11.9790 | − | 10.0066i | −0.644925 | − | 0.538737i | ||||
\(346\) | −0.868703 | − | 1.50464i | −0.0467017 | − | 0.0808898i | ||||
\(347\) | 12.6165 | − | 24.4726i | 0.677288 | − | 1.31376i | −0.260138 | − | 0.965571i | \(-0.583768\pi\) |
0.937426 | − | 0.348184i | \(-0.113202\pi\) | |||||||
\(348\) | −2.65941 | + | 10.6581i | −0.142559 | + | 0.571333i | ||||
\(349\) | −6.56699 | − | 9.22204i | −0.351523 | − | 0.493645i | 0.600520 | − | 0.799610i | \(-0.294960\pi\) |
−0.952043 | + | 0.305965i | \(0.901021\pi\) | |||||||
\(350\) | −2.83088 | + | 0.831222i | −0.151317 | + | 0.0444307i | ||||
\(351\) | −10.2495 | − | 13.5720i | −0.547077 | − | 0.724421i | ||||
\(352\) | 3.89901 | − | 3.37851i | 0.207818 | − | 0.180075i | ||||
\(353\) | −11.9746 | + | 29.9110i | −0.637342 | + | 1.59200i | 0.159082 | + | 0.987265i | \(0.449147\pi\) |
−0.796424 | + | 0.604738i | \(0.793278\pi\) | |||||||
\(354\) | 6.08156 | − | 14.9082i | 0.323231 | − | 0.792363i | ||||
\(355\) | −1.80091 | + | 9.34400i | −0.0955823 | + | 0.495928i | ||||
\(356\) | 0.0577436 | − | 1.21219i | 0.00306040 | − | 0.0642458i | ||||
\(357\) | −3.63068 | + | 1.42608i | −0.192156 | + | 0.0754761i | ||||
\(358\) | −5.07809 | − | 14.6722i | −0.268386 | − | 0.775449i | ||||
\(359\) | 13.0677 | + | 3.83703i | 0.689687 | + | 0.202511i | 0.607752 | − | 0.794127i | \(-0.292072\pi\) |
0.0819357 | + | 0.996638i | \(0.473890\pi\) | |||||||
\(360\) | −7.75172 | − | 15.5308i | −0.408551 | − | 0.818543i | ||||
\(361\) | −12.2643 | − | 14.1538i | −0.645492 | − | 0.744937i | ||||
\(362\) | −19.7703 | − | 1.88784i | −1.03911 | − | 0.0992225i | ||||
\(363\) | −11.7246 | + | 10.0262i | −0.615383 | + | 0.526238i | ||||
\(364\) | −0.357017 | − | 3.73885i | −0.0187128 | − | 0.195969i | ||||
\(365\) | −8.77354 | + | 3.51240i | −0.459228 | + | 0.183847i | ||||
\(366\) | −5.86689 | + | 8.99935i | −0.306667 | + | 0.470403i | ||||
\(367\) | 25.2677 | + | 14.5883i | 1.31896 | + | 0.761505i | 0.983562 | − | 0.180570i | \(-0.0577943\pi\) |
0.335403 | + | 0.942075i | \(0.391128\pi\) | |||||||
\(368\) | 9.42675 | − | 5.15719i | 0.491403 | − | 0.268837i | ||||
\(369\) | 13.6118 | − | 4.51297i | 0.708600 | − | 0.234936i | ||||
\(370\) | −11.9604 | + | 7.68649i | −0.621792 | + | 0.399602i | ||||
\(371\) | 9.85676 | − | 12.5339i | 0.511738 | − | 0.650727i | ||||
\(372\) | 5.22500 | − | 2.97135i | 0.270903 | − | 0.154057i | ||||
\(373\) | −14.0824 | + | 14.7691i | −0.729157 | + | 0.764718i | −0.979064 | − | 0.203552i | \(-0.934751\pi\) |
0.249907 | + | 0.968270i | \(0.419600\pi\) | |||||||
\(374\) | −1.76947 | − | 1.26003i | −0.0914972 | − | 0.0651549i | ||||
\(375\) | 17.2299 | − | 12.1007i | 0.889751 | − | 0.624876i | ||||
\(376\) | 2.64302 | + | 1.05811i | 0.136303 | + | 0.0545677i | ||||
\(377\) | −8.84542 | + | 30.1247i | −0.455562 | + | 1.55150i | ||||
\(378\) | 4.96228 | − | 9.17955i | 0.255232 | − | 0.472145i | ||||
\(379\) | −5.20488 | + | 8.09896i | −0.267357 | + | 0.416015i | −0.948811 | − | 0.315846i | \(-0.897712\pi\) |
0.681454 | + | 0.731861i | \(0.261348\pi\) | |||||||
\(380\) | −0.296806 | − | 0.575722i | −0.0152258 | − | 0.0295339i | ||||
\(381\) | −4.33774 | − | 4.60916i | −0.222229 | − | 0.236134i | ||||
\(382\) | −11.1711 | + | 2.71008i | −0.571563 | + | 0.138660i | ||||
\(383\) | 4.56343 | − | 3.58872i | 0.233181 | − | 0.183375i | −0.494731 | − | 0.869046i | \(-0.664733\pi\) |
0.727912 | + | 0.685671i | \(0.240491\pi\) | |||||||
\(384\) | 4.87786 | − | 0.433667i | 0.248922 | − | 0.0221305i | ||||
\(385\) | 0.448511 | − | 4.69702i | 0.0228582 | − | 0.239382i | ||||
\(386\) | −0.613590 | − | 2.08970i | −0.0312309 | − | 0.106363i | ||||
\(387\) | −27.6887 | + | 12.2107i | −1.40750 | + | 0.620704i | ||||
\(388\) | −7.53291 | − | 1.08307i | −0.382425 | − | 0.0549845i | ||||
\(389\) | −0.962602 | − | 20.2075i | −0.0488059 | − | 1.02456i | −0.881902 | − | 0.471433i | \(-0.843737\pi\) |
0.833096 | − | 0.553128i | \(-0.186566\pi\) | |||||||
\(390\) | −5.04707 | − | 11.2452i | −0.255568 | − | 0.569424i | ||||
\(391\) | 4.18967 | + | 4.60139i | 0.211881 | + | 0.232703i | ||||
\(392\) | −10.6340 | + | 6.13952i | −0.537096 | + | 0.310093i | ||||
\(393\) | 8.18887 | + | 5.33852i | 0.413074 | + | 0.269292i | ||||
\(394\) | −1.78735 | − | 1.40559i | −0.0900456 | − | 0.0708127i | ||||
\(395\) | −22.1086 | − | 10.0966i | −1.11240 | − | 0.508018i | ||||
\(396\) | −2.86004 | + | 0.235466i | −0.143723 | + | 0.0118326i | ||||
\(397\) | −13.1820 | − | 28.8645i | −0.661585 | − | 1.44867i | −0.881038 | − | 0.473045i | \(-0.843155\pi\) |
0.219454 | − | 0.975623i | \(-0.429573\pi\) | |||||||
\(398\) | −28.3624 | + | 5.46640i | −1.42168 | + | 0.274006i | ||||
\(399\) | 0.727253 | − | 1.38835i | 0.0364082 | − | 0.0695043i | ||||
\(400\) | 0.776054 | + | 3.19894i | 0.0388027 | + | 0.159947i | ||||
\(401\) | 19.7425 | + | 3.80506i | 0.985895 | + | 0.190016i | 0.656623 | − | 0.754219i | \(-0.271984\pi\) |
0.329272 | + | 0.944235i | \(0.393197\pi\) | |||||||
\(402\) | 2.70033 | − | 3.38800i | 0.134680 | − | 0.168978i | ||||
\(403\) | 15.2700 | − | 7.87223i | 0.760653 | − | 0.392144i | ||||
\(404\) | 0.203592 | + | 0.176414i | 0.0101291 | + | 0.00877691i | ||||
\(405\) | −2.84296 | + | 16.6708i | −0.141268 | + | 0.828378i | ||||
\(406\) | −19.0674 | + | 2.74148i | −0.946298 | + | 0.136057i | ||||
\(407\) | 1.79046 | + | 9.28980i | 0.0887500 | + | 0.460478i | ||||
\(408\) | 2.22072 | + | 6.55447i | 0.109942 | + | 0.324494i | ||||
\(409\) | 0.204346 | + | 0.194844i | 0.0101043 | + | 0.00963439i | 0.695114 | − | 0.718899i | \(-0.255354\pi\) |
−0.685010 | + | 0.728534i | \(0.740202\pi\) | |||||||
\(410\) | 10.3460 | − | 0.987920i | 0.510951 | − | 0.0487899i | ||||
\(411\) | −20.0871 | + | 20.7933i | −0.990825 | + | 1.02566i | ||||
\(412\) | −11.4372 | + | 0.544820i | −0.563469 | + | 0.0268413i | ||||
\(413\) | −13.9435 | −0.686114 | ||||||||
\(414\) | −16.5043 | − | 2.17880i | −0.811142 | − | 0.107082i | ||||
\(415\) | 5.11814 | 0.251240 | ||||||||
\(416\) | −11.6582 | + | 0.555347i | −0.571589 | + | 0.0272281i | ||||
\(417\) | 0.403695 | + | 1.40881i | 0.0197690 | + | 0.0689899i | ||||
\(418\) | 0.868855 | − | 0.0829656i | 0.0424971 | − | 0.00405798i | ||||
\(419\) | −16.0907 | − | 15.3424i | −0.786080 | − | 0.749526i | 0.186410 | − | 0.982472i | \(-0.440315\pi\) |
−0.972490 | + | 0.232946i | \(0.925163\pi\) | |||||||
\(420\) | −2.46406 | + | 2.80645i | −0.120234 | + | 0.136941i | ||||
\(421\) | −6.04394 | − | 31.3589i | −0.294564 | − | 1.52834i | −0.763908 | − | 0.645326i | \(-0.776722\pi\) |
0.469344 | − | 0.883015i | \(-0.344490\pi\) | |||||||
\(422\) | 7.96092 | − | 1.14461i | 0.387531 | − | 0.0557186i | ||||
\(423\) | −1.46901 | − | 2.35280i | −0.0714257 | − | 0.114397i | ||||
\(424\) | −21.3797 | − | 18.5257i | −1.03829 | − | 0.899685i | ||||
\(425\) | −1.69446 | + | 0.873554i | −0.0821933 | + | 0.0423736i | ||||
\(426\) | 3.71055 | + | 9.44677i | 0.179777 | + | 0.457697i | ||||
\(427\) | 9.13523 | + | 1.76067i | 0.442085 | + | 0.0852048i | ||||
\(428\) | 1.16398 | + | 4.79801i | 0.0562633 | + | 0.231920i | ||||
\(429\) | −8.19521 | + | 0.336785i | −0.395668 | + | 0.0162601i | ||||
\(430\) | −21.5354 | + | 4.15061i | −1.03853 | + | 0.200160i | ||||
\(431\) | 8.69310 | + | 19.0352i | 0.418732 | + | 0.916894i | 0.995023 | + | 0.0996498i | \(0.0317723\pi\) |
−0.576291 | + | 0.817245i | \(0.695500\pi\) | |||||||
\(432\) | −9.96650 | − | 6.01740i | −0.479513 | − | 0.289512i | ||||
\(433\) | 21.9694 | + | 10.0331i | 1.05578 | + | 0.482159i | 0.866196 | − | 0.499705i | \(-0.166558\pi\) |
0.189585 | + | 0.981864i | \(0.439286\pi\) | |||||||
\(434\) | 8.28557 | + | 6.51584i | 0.397720 | + | 0.312770i | ||||
\(435\) | 27.8417 | − | 14.1241i | 1.33491 | − | 0.677200i | ||||
\(436\) | −11.2522 | + | 6.49648i | −0.538885 | + | 0.311125i | ||||
\(437\) | −2.48295 | − | 0.294859i | −0.118776 | − | 0.0141050i | ||||
\(438\) | −5.90018 | + | 8.17221i | −0.281921 | + | 0.390483i | ||||
\(439\) | 0.139286 | + | 2.92398i | 0.00664778 | + | 0.139554i | 0.999751 | + | 0.0223114i | \(0.00710252\pi\) |
−0.993103 | + | 0.117243i | \(0.962594\pi\) | |||||||
\(440\) | −8.28591 | − | 1.19133i | −0.395015 | − | 0.0567946i | ||||
\(441\) | 11.8932 | + | 1.29256i | 0.566345 | + | 0.0615504i | ||||
\(442\) | 1.38451 | + | 4.71520i | 0.0658543 | + | 0.224279i | ||||
\(443\) | 1.13435 | − | 11.8795i | 0.0538946 | − | 0.564410i | −0.927686 | − | 0.373361i | \(-0.878205\pi\) |
0.981581 | − | 0.191048i | \(-0.0611888\pi\) | |||||||
\(444\) | 3.15517 | − | 6.79119i | 0.149738 | − | 0.322296i | ||||
\(445\) | −2.71109 | + | 2.13202i | −0.128518 | + | 0.101068i | ||||
\(446\) | −30.1629 | + | 7.31743i | −1.42825 | + | 0.346490i | ||||
\(447\) | −4.55769 | + | 15.1554i | −0.215571 | + | 0.716825i | ||||
\(448\) | −6.84512 | − | 13.2777i | −0.323402 | − | 0.627312i | ||||
\(449\) | 7.82720 | − | 12.1794i | 0.369389 | − | 0.574780i | −0.605948 | − | 0.795505i | \(-0.707206\pi\) |
0.975336 | + | 0.220725i | \(0.0708422\pi\) | |||||||
\(450\) | 1.95707 | − | 4.70938i | 0.0922570 | − | 0.222002i | ||||
\(451\) | 1.94844 | − | 6.63577i | 0.0917483 | − | 0.312466i | ||||
\(452\) | −6.93102 | − | 2.77476i | −0.326008 | − | 0.130514i | ||||
\(453\) | −2.68146 | − | 30.1609i | −0.125986 | − | 1.41708i | ||||
\(454\) | −21.1149 | − | 15.0359i | −0.990974 | − | 0.705669i | ||||
\(455\) | −7.36611 | + | 7.72535i | −0.345329 | + | 0.362170i | ||||
\(456\) | −2.39896 | − | 1.40600i | −0.112341 | − | 0.0658418i | ||||
\(457\) | 15.6964 | − | 19.9596i | 0.734247 | − | 0.933671i | −0.265288 | − | 0.964169i | \(-0.585467\pi\) |
0.999535 | + | 0.0304981i | \(0.00970935\pi\) | |||||||
\(458\) | 2.31668 | − | 1.48884i | 0.108252 | − | 0.0695690i | ||||
\(459\) | 2.02590 | − | 6.43093i | 0.0945608 | − | 0.300170i | ||||
\(460\) | 5.58414 | + | 2.07769i | 0.260362 | + | 0.0968729i | ||||
\(461\) | −31.5279 | − | 18.2026i | −1.46840 | − | 0.847781i | −0.469026 | − | 0.883184i | \(-0.655395\pi\) |
−0.999373 | + | 0.0354037i | \(0.988728\pi\) | |||||||
\(462\) | −2.27675 | − | 4.48797i | −0.105924 | − | 0.208799i | ||||
\(463\) | 26.3657 | − | 10.5552i | 1.22532 | − | 0.490544i | 0.333420 | − | 0.942778i | \(-0.391797\pi\) |
0.891899 | + | 0.452234i | \(0.149373\pi\) | |||||||
\(464\) | 2.04295 | + | 21.3947i | 0.0948415 | + | 0.993225i | ||||
\(465\) | −16.1065 | − | 5.69252i | −0.746922 | − | 0.263984i | ||||
\(466\) | 29.5535 | + | 2.82202i | 1.36904 | + | 0.130728i | ||||
\(467\) | −5.24350 | − | 6.05132i | −0.242640 | − | 0.280022i | 0.621347 | − | 0.783536i | \(-0.286586\pi\) |
−0.863987 | + | 0.503514i | \(0.832040\pi\) | |||||||
\(468\) | 5.41522 | + | 3.58090i | 0.250319 | + | 0.165527i | ||||
\(469\) | −3.59996 | − | 1.05704i | −0.166231 | − | 0.0488097i | ||||
\(470\) | −0.657485 | − | 1.89968i | −0.0303275 | − | 0.0876256i | ||||
\(471\) | 1.61307 | − | 10.7218i | 0.0743264 | − | 0.494036i | ||||
\(472\) | −1.17707 | + | 24.7098i | −0.0541793 | + | 1.13736i | ||||
\(473\) | −2.76197 | + | 14.3305i | −0.126996 | + | 0.658916i | ||||
\(474\) | −25.6824 | + | 3.52162i | −1.17963 | + | 0.161753i | ||||
\(475\) | 0.284685 | − | 0.711109i | 0.0130622 | − | 0.0326279i | ||||
\(476\) | 1.12530 | − | 0.975081i | 0.0515782 | − | 0.0446928i | ||||
\(477\) | 6.14775 | + | 26.8676i | 0.281486 | + | 1.23018i | ||||
\(478\) | 16.7085 | − | 4.90606i | 0.764229 | − | 0.224398i | ||||
\(479\) | −0.913578 | − | 1.28294i | −0.0417425 | − | 0.0586191i | 0.793177 | − | 0.608991i | \(-0.208425\pi\) |
−0.834920 | + | 0.550372i | \(0.814486\pi\) | |||||||
\(480\) | 8.34688 | + | 8.06341i | 0.380981 | + | 0.368042i | ||||
\(481\) | 9.80738 | − | 19.0237i | 0.447178 | − | 0.867405i | ||||
\(482\) | −11.5229 | − | 19.9583i | −0.524854 | − | 0.909074i | ||||
\(483\) | 3.65152 | + | 13.9467i | 0.166150 | + | 0.634598i | ||||
\(484\) | 2.94441 | − | 5.09987i | 0.133837 | − | 0.231812i | ||||
\(485\) | 11.6935 | + | 18.1954i | 0.530975 | + | 0.826213i | ||||
\(486\) | 6.95349 | + | 16.6429i | 0.315417 | + | 0.754938i | ||||
\(487\) | −11.6334 | + | 25.4736i | −0.527159 | + | 1.15432i | 0.439498 | + | 0.898244i | \(0.355156\pi\) |
−0.966657 | + | 0.256074i | \(0.917571\pi\) | |||||||
\(488\) | 3.89133 | − | 16.0403i | 0.176152 | − | 0.726109i | ||||
\(489\) | −14.5365 | + | 4.92511i | −0.657363 | + | 0.222721i | ||||
\(490\) | 8.19339 | + | 2.83576i | 0.370140 | + | 0.128107i | ||||
\(491\) | 24.5400 | + | 31.2051i | 1.10747 | + | 1.40827i | 0.903129 | + | 0.429369i | \(0.141264\pi\) |
0.204345 | + | 0.978899i | \(0.434493\pi\) | |||||||
\(492\) | −4.32489 | + | 3.35567i | −0.194981 | + | 0.151285i | ||||
\(493\) | −11.7624 | + | 4.07101i | −0.529752 | + | 0.183349i | ||||
\(494\) | −1.66108 | − | 1.06751i | −0.0747357 | − | 0.0480297i | ||||
\(495\) | 5.82869 | + | 5.70476i | 0.261980 | + | 0.256410i | ||||
\(496\) | 7.70128 | − | 8.88775i | 0.345798 | − | 0.399072i | ||||
\(497\) | 6.36119 | − | 6.06538i | 0.285338 | − | 0.272070i | ||||
\(498\) | 4.61141 | − | 2.92122i | 0.206642 | − | 0.130903i | ||||
\(499\) | 0.864089 | − | 2.49662i | 0.0386819 | − | 0.111764i | −0.924006 | − | 0.382378i | \(-0.875105\pi\) |
0.962688 | + | 0.270614i | \(0.0872266\pi\) | |||||||
\(500\) | −4.66193 | + | 6.54677i | −0.208488 | + | 0.292780i | ||||
\(501\) | −11.1372 | − | 13.0239i | −0.497575 | − | 0.581864i | ||||
\(502\) | 6.60735 | − | 4.70507i | 0.294901 | − | 0.209998i | ||||
\(503\) | 6.13173 | − | 42.6471i | 0.273400 | − | 1.90154i | −0.138586 | − | 0.990350i | \(-0.544256\pi\) |
0.411987 | − | 0.911190i | \(-0.364835\pi\) | |||||||
\(504\) | −2.48864 | + | 15.8382i | −0.110853 | + | 0.705489i | ||||
\(505\) | − | 0.765620i | − | 0.0340697i | ||||||
\(506\) | −5.39574 | + | 5.94506i | −0.239870 | + | 0.264290i | ||||
\(507\) | −3.21160 | − | 2.31871i | −0.142632 | − | 0.102978i | ||||
\(508\) | 2.14747 | + | 1.10710i | 0.0952784 | + | 0.0491194i | ||||
\(509\) | 13.4558 | + | 33.6110i | 0.596418 | + | 1.48978i | 0.852290 | + | 0.523070i | \(0.175213\pi\) |
−0.255871 | + | 0.966711i | \(0.582362\pi\) | |||||||
\(510\) | 2.47084 | − | 4.21583i | 0.109411 | − | 0.186680i | ||||
\(511\) | 8.48288 | + | 2.05792i | 0.375260 | + | 0.0910372i | ||||
\(512\) | −19.8186 | + | 9.05087i | −0.875868 | + | 0.399996i | ||||
\(513\) | 1.07693 | + | 2.48586i | 0.0475478 | + | 0.109753i | ||||
\(514\) | −4.94773 | − | 34.4122i | −0.218235 | − | 1.51786i | ||||
\(515\) | 22.4564 | + | 23.5516i | 0.989546 | + | 1.03781i | ||||
\(516\) | 8.41210 | − | 7.91673i | 0.370322 | − | 0.348515i | ||||
\(517\) | −1.33617 | − | 0.0636498i | −0.0587648 | − | 0.00279931i | ||||
\(518\) | 13.1170 | + | 0.624838i | 0.576326 | + | 0.0274538i | ||||
\(519\) | −0.596638 | − | 2.53138i | −0.0261895 | − | 0.111115i | ||||
\(520\) | 13.0686 | + | 13.7059i | 0.573096 | + | 0.601045i | ||||
\(521\) | 1.97100 | + | 13.7086i | 0.0863510 | + | 0.600584i | 0.986346 | + | 0.164685i | \(0.0526607\pi\) |
−0.899995 | + | 0.435900i | \(0.856430\pi\) | |||||||
\(522\) | 17.0238 | − | 28.6166i | 0.745109 | − | 1.25252i | ||||
\(523\) | 11.1918 | − | 5.11111i | 0.489382 | − | 0.223493i | −0.155412 | − | 0.987850i | \(-0.549671\pi\) |
0.644794 | + | 0.764357i | \(0.276943\pi\) | |||||||
\(524\) | −3.62628 | − | 0.879727i | −0.158415 | − | 0.0384311i | ||||
\(525\) | −4.41639 | − | 0.0288292i | −0.192747 | − | 0.00125821i | ||||
\(526\) | 9.75202 | + | 24.3594i | 0.425208 | + | 1.06212i | ||||
\(527\) | 6.05371 | + | 3.12090i | 0.263704 | + | 0.135949i | ||||
\(528\) | −5.12238 | + | 2.29902i | −0.222923 | + | 0.100052i | ||||
\(529\) | 18.7139 | − | 13.3713i | 0.813647 | − | 0.581359i | ||||
\(530\) | 19.9752i | 0.867669i | ||||||||
\(531\) | 15.1448 | − | 18.7491i | 0.657226 | − | 0.813642i | ||||
\(532\) | −0.0851428 | + | 0.592181i | −0.00369141 | + | 0.0256743i | ||||
\(533\) | −12.7446 | + | 9.07541i | −0.552031 | + | 0.393100i | ||||
\(534\) | −1.22581 | + | 3.46831i | −0.0530458 | + | 0.150089i | ||||
\(535\) | 8.13916 | − | 11.4298i | 0.351886 | − | 0.494155i | ||||
\(536\) | −2.17713 | + | 6.29040i | −0.0940377 | + | 0.271704i | ||||
\(537\) | −0.954301 | − | 23.2216i | −0.0411811 | − | 1.00209i | ||||
\(538\) | −11.0514 | + | 10.5375i | −0.476459 | + | 0.454302i | ||||
\(539\) | 3.77822 | − | 4.36030i | 0.162740 | − | 0.187812i | ||||
\(540\) | −1.09735 | − | 6.36154i | −0.0472224 | − | 0.273757i | ||||
\(541\) | −0.102617 | − | 0.0659481i | −0.00441186 | − | 0.00283533i | 0.538433 | − | 0.842668i | \(-0.319016\pi\) |
−0.542845 | + | 0.839833i | \(0.682653\pi\) | |||||||
\(542\) | −26.4702 | + | 9.16141i | −1.13699 | + | 0.393516i | ||||
\(543\) | −27.5268 | − | 11.2291i | −1.18129 | − | 0.481887i | ||||
\(544\) | −2.86026 | − | 3.63711i | −0.122633 | − | 0.155940i | ||||
\(545\) | 34.8956 | + | 12.0775i | 1.49476 | + | 0.517343i | ||||
\(546\) | −2.22751 | + | 11.1648i | −0.0953288 | + | 0.477807i | ||||
\(547\) | −5.89832 | + | 24.3132i | −0.252194 | + | 1.03956i | 0.695029 | + | 0.718982i | \(0.255391\pi\) |
−0.947223 | + | 0.320576i | \(0.896124\pi\) | |||||||
\(548\) | 4.58454 | − | 10.0387i | 0.195842 | − | 0.428834i | ||||
\(549\) | −12.2897 | + | 10.3713i | −0.524513 | + | 0.442637i | ||||
\(550\) | −1.32970 | − | 2.06905i | −0.0566986 | − | 0.0882247i | ||||
\(551\) | 2.50058 | − | 4.33113i | 0.106528 | − | 0.184512i | ||||
\(552\) | 25.0238 | − | 5.29366i | 1.06508 | − | 0.225313i | ||||
\(553\) | 11.2246 | + | 19.4416i | 0.477319 | + | 0.826741i | ||||
\(554\) | 9.20108 | − | 17.8476i | 0.390916 | − | 0.758272i | ||||
\(555\) | −20.4588 | + | 5.86246i | −0.868428 | + | 0.248848i | ||||
\(556\) | −0.324495 | − | 0.455689i | −0.0137616 | − | 0.0193255i | ||||
\(557\) | −26.0980 | + | 7.66306i | −1.10581 | + | 0.324694i | −0.783157 | − | 0.621824i | \(-0.786392\pi\) |
−0.322650 | + | 0.946518i | \(0.604574\pi\) | |||||||
\(558\) | −17.7609 | + | 4.06399i | −0.751879 | + | 0.172042i | ||||
\(559\) | 24.9520 | − | 21.6210i | 1.05536 | − | 0.914471i | ||||
\(560\) | −2.71572 | + | 6.78353i | −0.114760 | + | 0.286656i | ||||
\(561\) | −1.99333 | − | 2.56907i | −0.0841585 | − | 0.108466i | ||||
\(562\) | 4.05624 | − | 21.0457i | 0.171102 | − | 0.887761i | ||||
\(563\) | −0.342428 | + | 7.18844i | −0.0144316 | + | 0.302957i | 0.980099 | + | 0.198510i | \(0.0636102\pi\) |
−0.994530 | + | 0.104447i | \(0.966693\pi\) | |||||||
\(564\) | 0.827984 | + | 0.659926i | 0.0348644 | + | 0.0277879i | ||||
\(565\) | 6.93977 | + | 20.0512i | 0.291959 | + | 0.843559i | ||||
\(566\) | −11.6051 | − | 3.40756i | −0.487798 | − | 0.143231i | ||||
\(567\) | 11.0707 | − | 11.0196i | 0.464924 | − | 0.462780i | ||||
\(568\) | −10.2117 | − | 11.7849i | −0.428474 | − | 0.494485i | ||||
\(569\) | 3.10282 | + | 0.296283i | 0.130077 | + | 0.0124208i | 0.159891 | − | 0.987135i | \(-0.448886\pi\) |
−0.0298146 | + | 0.999555i | \(0.509492\pi\) | |||||||
\(570\) | 0.358982 | + | 1.93030i | 0.0150361 | + | 0.0808513i | ||||
\(571\) | −0.138062 | − | 1.44585i | −0.00577773 | − | 0.0605071i | 0.992123 | − | 0.125266i | \(-0.0399783\pi\) |
−0.997901 | + | 0.0647586i | \(0.979372\pi\) | |||||||
\(572\) | 2.90666 | − | 1.16365i | 0.121534 | − | 0.0486547i | ||||
\(573\) | −17.1820 | − | 0.930930i | −0.717789 | − | 0.0388902i | ||||
\(574\) | −8.31341 | − | 4.79975i | −0.346995 | − | 0.200338i | ||||
\(575\) | 2.46756 | + | 6.59966i | 0.102904 | + | 0.275225i | ||||
\(576\) | 25.2887 | + | 5.21729i | 1.05370 | + | 0.217387i | ||||
\(577\) | −3.99497 | + | 2.56741i | −0.166313 | + | 0.106883i | −0.621149 | − | 0.783692i | \(-0.713334\pi\) |
0.454837 | + | 0.890575i | \(0.349698\pi\) | |||||||
\(578\) | 10.9551 | − | 13.9306i | 0.455672 | − | 0.579435i | ||||
\(579\) | 0.0212811 | − | 3.26008i | 0.000884412 | − | 0.135484i | ||||
\(580\) | −8.22378 | + | 8.62485i | −0.341474 | + | 0.358127i | ||||
\(581\) | −3.85079 | − | 2.74214i | −0.159758 | − | 0.113763i | ||||
\(582\) | 20.9210 | + | 9.71982i | 0.867202 | + | 0.402900i | ||||
\(583\) | 12.3401 | + | 4.94024i | 0.511075 | + | 0.204604i | ||||
\(584\) | 4.36304 | − | 14.8591i | 0.180544 | − | 0.614875i | ||||
\(585\) | −2.38718 | − | 18.2957i | −0.0986977 | − | 0.756436i | ||||
\(586\) | −4.55110 | + | 7.08165i | −0.188004 | + | 0.292540i | ||||
\(587\) | −2.80388 | − | 5.43876i | −0.115728 | − | 0.224482i | 0.823856 | − | 0.566799i | \(-0.191818\pi\) |
−0.939584 | + | 0.342318i | \(0.888788\pi\) | |||||||
\(588\) | −4.44486 | + | 1.04764i | −0.183303 | + | 0.0432038i | ||||
\(589\) | −2.65943 | + | 0.645170i | −0.109580 | + | 0.0265838i | ||||
\(590\) | 13.7303 | − | 10.7977i | 0.565269 | − | 0.444532i | ||||
\(591\) | −1.95622 | − | 2.78543i | −0.0804681 | − | 0.114577i | ||||
\(592\) | 1.39267 | − | 14.5847i | 0.0572385 | − | 0.599428i | ||||
\(593\) | 3.32831 | + | 11.3352i | 0.136677 | + | 0.465481i | 0.999176 | − | 0.0405782i | \(-0.0129200\pi\) |
−0.862499 | + | 0.506059i | \(0.831102\pi\) | |||||||
\(594\) | 8.50765 | + | 1.81319i | 0.349073 | + | 0.0743959i | ||||
\(595\) | −4.18869 | − | 0.602243i | −0.171720 | − | 0.0246896i | ||||
\(596\) | −0.287447 | − | 6.03425i | −0.0117743 | − | 0.247173i | ||||
\(597\) | −43.0139 | − | 4.39085i | −1.76044 | − | 0.179705i | ||||
\(598\) | 17.9089 | − | 3.02627i | 0.732351 | − | 0.123753i | ||||
\(599\) | 9.56042 | − | 5.51971i | 0.390628 | − | 0.225529i | −0.291804 | − | 0.956478i | \(-0.594255\pi\) |
0.682432 | + | 0.730949i | \(0.260922\pi\) | |||||||
\(600\) | −0.423910 | + | 7.82403i | −0.0173061 | + | 0.319415i | ||||
\(601\) | −4.91253 | − | 3.86326i | −0.200386 | − | 0.157585i | 0.512924 | − | 0.858434i | \(-0.328562\pi\) |
−0.713310 | + | 0.700849i | \(0.752805\pi\) | |||||||
\(602\) | 18.4266 | + | 8.41514i | 0.751012 | + | 0.342976i | ||||
\(603\) | 5.33146 | − | 3.69257i | 0.217114 | − | 0.150373i | ||||
\(604\) | 4.80157 | + | 10.5140i | 0.195373 | + | 0.427808i | ||||
\(605\) | −16.4338 | + | 3.16736i | −0.668129 | + | 0.128771i | ||||
\(606\) | −0.436984 | − | 0.689819i | −0.0177512 | − | 0.0280220i | ||||
\(607\) | −2.77009 | − | 11.4185i | −0.112435 | − | 0.463461i | −0.999996 | − | 0.00277244i | \(-0.999118\pi\) |
0.887562 | − | 0.460689i | \(-0.152398\pi\) | |||||||
\(608\) | 1.82554 | + | 0.351844i | 0.0740354 | + | 0.0142692i | ||||
\(609\) | −28.5148 | − | 4.28998i | −1.15548 | − | 0.173839i | ||||
\(610\) | −10.3590 | + | 5.34044i | −0.419424 | + | 0.216228i | ||||
\(611\) | 2.28707 | + | 1.98176i | 0.0925249 | + | 0.0801733i | ||||
\(612\) | 0.0888917 | + | 2.57223i | 0.00359323 | + | 0.103976i | ||||
\(613\) | 2.50584 | − | 0.360286i | 0.101210 | − | 0.0145518i | −0.0915237 | − | 0.995803i | \(-0.529174\pi\) |
0.192734 | + | 0.981251i | \(0.438265\pi\) | |||||||
\(614\) | 7.21056 | + | 37.4119i | 0.290995 | + | 1.50982i | ||||
\(615\) | 15.2568 | + | 3.04393i | 0.615213 | + | 0.122743i | ||||
\(616\) | 5.59589 | + | 5.33567i | 0.225465 | + | 0.214980i | ||||
\(617\) | −31.0517 | + | 2.96508i | −1.25010 | + | 0.119370i | −0.699030 | − | 0.715092i | \(-0.746385\pi\) |
−0.551066 | + | 0.834462i | \(0.685779\pi\) | |||||||
\(618\) | 33.6753 | + | 8.40267i | 1.35462 | + | 0.338005i | ||||
\(619\) | −36.2601 | + | 1.72728i | −1.45742 | + | 0.0694253i | −0.761252 | − | 0.648457i | \(-0.775415\pi\) |
−0.696165 | + | 0.717882i | \(0.745112\pi\) | |||||||
\(620\) | 6.52092 | 0.261886 | ||||||||
\(621\) | −22.7196 | − | 10.2382i | −0.911705 | − | 0.410846i | ||||
\(622\) | 8.65970 | 0.347222 | ||||||||
\(623\) | 3.18204 | − | 0.151579i | 0.127486 | − | 0.00607290i | ||||
\(624\) | 12.3240 | + | 3.07510i | 0.493357 | + | 0.123103i | ||||
\(625\) | 15.4255 | − | 1.47296i | 0.617022 | − | 0.0589184i | ||||
\(626\) | 19.2157 | + | 18.3221i | 0.768013 | + | 0.732299i | ||||
\(627\) | 1.28126 | + | 0.255629i | 0.0511688 | + | 0.0102088i | ||||
\(628\) | 0.783278 | + | 4.06403i | 0.0312562 | + | 0.162173i | ||||
\(629\) | 8.39870 | − | 1.20755i | 0.334878 | − | 0.0481482i | ||||
\(630\) | 9.60256 | − | 5.99551i | 0.382575 | − | 0.238867i | ||||
\(631\) | −2.48964 | − | 2.15728i | −0.0991109 | − | 0.0858801i | 0.603896 | − | 0.797063i | \(-0.293614\pi\) |
−0.703007 | + | 0.711183i | \(0.748160\pi\) | |||||||
\(632\) | 35.4008 | − | 18.2504i | 1.40817 | − | 0.725961i | ||||
\(633\) | 11.9054 | + | 1.79113i | 0.473196 | + | 0.0711910i | ||||
\(634\) | 28.6933 | + | 5.53019i | 1.13956 | + | 0.219632i | ||||
\(635\) | −1.61884 | − | 6.67294i | −0.0642416 | − | 0.264808i | ||||
\(636\) | −5.63021 | − | 8.88780i | −0.223252 | − | 0.352424i | ||||
\(637\) | −12.8164 | + | 2.47015i | −0.507803 | + | 0.0978710i | ||||
\(638\) | −6.67085 | − | 14.6071i | −0.264102 | − | 0.578302i | ||||
\(639\) | 1.24659 | + | 15.1415i | 0.0493145 | + | 0.598988i | ||||
\(640\) | 4.83262 | + | 2.20698i | 0.191026 | + | 0.0872386i | ||||
\(641\) | 33.4117 | + | 26.2752i | 1.31968 | + | 1.03781i | 0.995785 | + | 0.0917178i | \(0.0292358\pi\) |
0.323898 | + | 0.946092i | \(0.395007\pi\) | |||||||
\(642\) | 0.809657 | − | 14.9437i | 0.0319546 | − | 0.589781i | ||||
\(643\) | 0.559980 | − | 0.323304i | 0.0220834 | − | 0.0127499i | −0.488918 | − | 0.872330i | \(-0.662608\pi\) |
0.511001 | + | 0.859580i | \(0.329275\pi\) | |||||||
\(644\) | −3.08824 | − | 4.55502i | −0.121694 | − | 0.179493i | ||||
\(645\) | −32.6602 | − | 3.33395i | −1.28599 | − | 0.131274i | ||||
\(646\) | −0.0372468 | − | 0.781906i | −0.00146546 | − | 0.0307637i | ||||
\(647\) | −34.2620 | − | 4.92614i | −1.34698 | − | 0.193666i | −0.569198 | − | 0.822201i | \(-0.692746\pi\) |
−0.777782 | + | 0.628534i | \(0.783655\pi\) | |||||||
\(648\) | −18.5938 | − | 20.5490i | −0.730432 | − | 0.807242i | ||||
\(649\) | −3.27471 | − | 11.1527i | −0.128544 | − | 0.437780i | ||||
\(650\) | −0.528897 | + | 5.53886i | −0.0207450 | + | 0.217252i | ||||
\(651\) | 9.06836 | + | 12.9123i | 0.355417 | + | 0.506073i | ||||
\(652\) | 4.60529 | − | 3.62164i | 0.180357 | − | 0.141834i | ||||
\(653\) | −19.8771 | + | 4.82214i | −0.777853 | + | 0.188705i | −0.604982 | − | 0.796239i | \(-0.706820\pi\) |
−0.172871 | + | 0.984944i | \(0.555304\pi\) | |||||||
\(654\) | 38.3340 | − | 9.03519i | 1.49898 | − | 0.353304i | ||||
\(655\) | 4.85948 | + | 9.42608i | 0.189876 | + | 0.368307i | ||||
\(656\) | −5.79030 | + | 9.00988i | −0.226073 | + | 0.351777i | ||||
\(657\) | −11.9809 | + | 9.17128i | −0.467419 | + | 0.357806i | ||||
\(658\) | −0.523107 | + | 1.78154i | −0.0203929 | + | 0.0694517i | ||||
\(659\) | −4.59536 | − | 1.83971i | −0.179010 | − | 0.0716647i | 0.280426 | − | 0.959876i | \(-0.409524\pi\) |
−0.459436 | + | 0.888211i | \(0.651948\pi\) | |||||||
\(660\) | −2.82343 | − | 1.31176i | −0.109902 | − | 0.0510602i | ||||
\(661\) | −12.2943 | − | 8.75473i | −0.478193 | − | 0.340520i | 0.315410 | − | 0.948955i | \(-0.397858\pi\) |
−0.793603 | + | 0.608436i | \(0.791797\pi\) | |||||||
\(662\) | −4.84299 | + | 5.07918i | −0.188228 | + | 0.197408i | ||||
\(663\) | −0.0480188 | + | 7.35607i | −0.00186489 | + | 0.285686i | ||||
\(664\) | −5.18453 | + | 6.59266i | −0.201199 | + | 0.255845i | ||||
\(665\) | 1.43039 | − | 0.919257i | 0.0554682 | − | 0.0356472i | ||||
\(666\) | −15.0872 | + | 16.9591i | −0.584617 | + | 0.657150i | ||||
\(667\) | 9.81466 | + | 44.9442i | 0.380025 | + | 1.74025i | ||||
\(668\) | 5.66501 | + | 3.27069i | 0.219186 | + | 0.126547i | ||||
\(669\) | −46.3928 | − | 2.51359i | −1.79365 | − | 0.0971808i | ||||
\(670\) | 4.36349 | − | 1.74688i | 0.168576 | − | 0.0674877i | ||||
\(671\) | 0.737198 | + | 7.72028i | 0.0284592 | + | 0.298038i | ||||
\(672\) | −1.95992 | − | 10.5387i | −0.0756054 | − | 0.406541i | ||||
\(673\) | 3.16517 | + | 0.302237i | 0.122008 | + | 0.0116504i | 0.155882 | − | 0.987776i | \(-0.450178\pi\) |
−0.0338733 | + | 0.999426i | \(0.510784\pi\) | |||||||
\(674\) | 14.5230 | + | 16.7605i | 0.559407 | + | 0.645590i | ||||
\(675\) | 4.83564 | − | 5.90719i | 0.186124 | − | 0.227368i | ||||
\(676\) | 1.45082 | + | 0.425998i | 0.0558006 | + | 0.0163845i | ||||
\(677\) | 9.82519 | + | 28.3880i | 0.377613 | + | 1.09104i | 0.960450 | + | 0.278451i | \(0.0898211\pi\) |
−0.582838 | + | 0.812589i | \(0.698058\pi\) | |||||||
\(678\) | 17.6970 | + | 14.1050i | 0.679651 | + | 0.541701i | ||||
\(679\) | 0.950570 | − | 19.9549i | 0.0364795 | − | 0.765799i | ||||
\(680\) | −1.42086 | + | 7.37212i | −0.0544875 | + | 0.282708i | ||||
\(681\) | −23.7863 | − | 30.6564i | −0.911491 | − | 1.17476i | ||||
\(682\) | −3.26576 | + | 8.15747i | −0.125052 | + | 0.312366i | ||||
\(683\) | −6.63743 | + | 5.75137i | −0.253974 | + | 0.220070i | −0.772537 | − | 0.634970i | \(-0.781013\pi\) |
0.518563 | + | 0.855039i | \(0.326467\pi\) | |||||||
\(684\) | −0.703799 | − | 0.757687i | −0.0269104 | − | 0.0289709i | ||||
\(685\) | −30.0944 | + | 8.83650i | −1.14985 | + | 0.337625i | ||||
\(686\) | −12.7994 | − | 17.9742i | −0.488682 | − | 0.686258i | ||||
\(687\) | 3.96279 | − | 1.13553i | 0.151190 | − | 0.0433233i | ||||
\(688\) | 10.3563 | − | 20.0884i | 0.394829 | − | 0.765861i | ||||
\(689\) | −15.0354 | − | 26.0421i | −0.572804 | − | 0.992125i | ||||
\(690\) | −14.3959 | − | 10.9058i | −0.548041 | − | 0.415178i | ||||
\(691\) | 18.8143 | − | 32.5874i | 0.715731 | − | 1.23968i | −0.246946 | − | 0.969029i | \(-0.579427\pi\) |
0.962677 | − | 0.270653i | \(-0.0872396\pi\) | |||||||
\(692\) | 0.536728 | + | 0.835166i | 0.0204034 | + | 0.0317482i | ||||
\(693\) | −1.32897 | − | 7.41498i | −0.0504832 | − | 0.281672i | ||||
\(694\) | 13.2344 | − | 28.9793i | 0.502371 | − | 1.10004i | ||||
\(695\) | −0.374831 | + | 1.54507i | −0.0142181 | + | 0.0586080i | ||||
\(696\) | −10.0096 | + | 50.1702i | −0.379413 | + | 1.90170i | ||||
\(697\) | −5.86152 | − | 2.02869i | −0.222021 | − | 0.0768422i | ||||
\(698\) | −8.09766 | − | 10.2970i | −0.306501 | − | 0.389748i | ||||
\(699\) | 41.1483 | + | 16.7858i | 1.55637 | + | 0.634895i | ||||
\(700\) | 1.59315 | − | 0.551395i | 0.0602154 | − | 0.0208408i | ||||
\(701\) | 8.38636 | + | 5.38959i | 0.316749 | + | 0.203562i | 0.689348 | − | 0.724430i | \(-0.257897\pi\) |
−0.372599 | + | 0.927992i | \(0.621533\pi\) | |||||||
\(702\) | −12.5933 | − | 15.1218i | −0.475302 | − | 0.570737i | ||||
\(703\) | −2.23260 | + | 2.57656i | −0.0842040 | + | 0.0971766i | ||||
\(704\) | 9.01249 | − | 8.59339i | 0.339671 | − | 0.323876i | ||||
\(705\) | −0.123558 | − | 3.00662i | −0.00465346 | − | 0.113236i | ||||
\(706\) | −12.1931 | + | 35.2296i | −0.458892 | + | 1.32588i | ||||
\(707\) | −0.410195 | + | 0.576038i | −0.0154270 | + | 0.0216641i | ||||
\(708\) | −3.06577 | + | 8.67434i | −0.115219 | + | 0.326002i | ||||
\(709\) | 20.7818 | − | 14.7987i | 0.780477 | − | 0.555775i | −0.118922 | − | 0.992904i | \(-0.537944\pi\) |
0.899399 | + | 0.437129i | \(0.144005\pi\) | |||||||
\(710\) | −1.56699 | + | 10.8987i | −0.0588082 | + | 0.409020i | ||||
\(711\) | −38.3338 | − | 6.02336i | −1.43763 | − | 0.225894i | ||||
\(712\) | − | 5.65183i | − | 0.211811i | ||||||
\(713\) | 14.0927 | − | 20.8578i | 0.527775 | − | 0.781132i | ||||
\(714\) | −4.11772 | + | 1.84811i | −0.154102 | + | 0.0691638i | ||||
\(715\) | −7.90907 | − | 4.07741i | −0.295783 | − | 0.152487i | ||||
\(716\) | 3.29728 | + | 8.23621i | 0.123225 | + | 0.307802i | ||||
\(717\) | 26.0665 | + | 0.170156i | 0.973472 | + | 0.00635460i | ||||
\(718\) | 15.3145 | + | 3.71526i | 0.571533 | + | 0.138652i | ||||
\(719\) | 45.2679 | − | 20.6732i | 1.68821 | − | 0.770979i | 0.689290 | − | 0.724486i | \(-0.257923\pi\) |
0.998919 | − | 0.0464933i | \(-0.0148046\pi\) | |||||||
\(720\) | −6.17179 | − | 11.0196i | −0.230009 | − | 0.410677i | ||||
\(721\) | −4.27757 | − | 29.7512i | −0.159305 | − | 1.10799i | ||||
\(722\) | −14.9540 | − | 15.6833i | −0.556531 | − | 0.583673i | ||||
\(723\) | −7.91410 | − | 33.5775i | −0.294329 | − | 1.24876i | ||||
\(724\) | 11.3354 | + | 0.539972i | 0.421277 | + | 0.0200679i | ||||
\(725\) | −14.0768 | − | 0.670562i | −0.522800 | − | 0.0249040i | ||||
\(726\) | −12.9990 | + | 12.2335i | −0.482437 | + | 0.454027i | ||||
\(727\) | 21.6586 | + | 22.7149i | 0.803272 | + | 0.842447i | 0.990161 | − | 0.139934i | \(-0.0446889\pi\) |
−0.186889 | + | 0.982381i | \(0.559840\pi\) | |||||||
\(728\) | −2.48935 | − | 17.3138i | −0.0922615 | − | 0.641693i | ||||
\(729\) | 2.79310 | + | 26.8551i | 0.103448 | + | 0.994635i | ||||
\(730\) | −9.94682 | + | 4.54256i | −0.368149 | + | 0.168128i | ||||
\(731\) | 12.7201 | + | 3.08587i | 0.470471 | + | 0.114135i | ||||
\(732\) | 3.10390 | − | 5.29597i | 0.114723 | − | 0.195745i | ||||
\(733\) | −8.37924 | − | 20.9303i | −0.309494 | − | 0.773079i | −0.998817 | − | 0.0486249i | \(-0.984516\pi\) |
0.689323 | − | 0.724454i | \(-0.257908\pi\) | |||||||
\(734\) | 30.0069 | + | 15.4696i | 1.10757 | + | 0.570994i | ||||
\(735\) | 10.5227 | + | 7.59718i | 0.388135 | + | 0.280226i | ||||
\(736\) | −14.5954 | + | 8.91238i | −0.537994 | + | 0.328515i | ||||
\(737\) | − | 3.12767i | − | 0.115209i | ||||||
\(738\) | 15.4836 | − | 5.96536i | 0.569959 | − | 0.219588i | ||||
\(739\) | −5.79117 | + | 40.2785i | −0.213032 | + | 1.48167i | 0.549923 | + | 0.835216i | \(0.314657\pi\) |
−0.762954 | + | 0.646452i | \(0.776252\pi\) | |||||||
\(740\) | 6.61753 | − | 4.71232i | 0.243265 | − | 0.173228i | ||||
\(741\) | −1.92095 | − | 2.24636i | −0.0705680 | − | 0.0825221i | ||||
\(742\) | 10.7021 | − | 15.0290i | 0.392886 | − | 0.551731i | ||||
\(743\) | −3.93442 | + | 11.3678i | −0.144340 | + | 0.417043i | −0.993878 | − | 0.110485i | \(-0.964760\pi\) |
0.849538 | + | 0.527528i | \(0.176881\pi\) | |||||||
\(744\) | 23.6479 | − | 14.9804i | 0.866976 | − | 0.549208i | ||||
\(745\) | −12.4258 | + | 11.8480i | −0.455246 | + | 0.434076i | ||||
\(746\) | −15.4628 | + | 17.8451i | −0.566135 | + | 0.653354i | ||||
\(747\) | 7.86976 | − | 2.19959i | 0.287939 | − | 0.0804787i | ||||
\(748\) | 1.04420 | + | 0.671066i | 0.0381797 | + | 0.0245366i | ||||
\(749\) | −12.2475 | + | 4.23890i | −0.447514 | + | 0.154886i | ||||
\(750\) | 19.2477 | − | 14.9342i | 0.702825 | − | 0.545320i | ||||
\(751\) | 17.5861 | + | 22.3626i | 0.641727 | + | 0.816022i | 0.992731 | − | 0.120351i | \(-0.0384021\pi\) |
−0.351004 | + | 0.936374i | \(0.614160\pi\) | |||||||
\(752\) | 1.95763 | + | 0.677541i | 0.0713873 | + | 0.0247074i | ||||
\(753\) | 11.4999 | − | 3.89630i | 0.419081 | − | 0.141989i | ||||
\(754\) | −8.56473 | + | 35.3043i | −0.311909 | + | 1.28571i | ||||
\(755\) | 13.6463 | − | 29.8811i | 0.496638 | − | 1.08749i | ||||
\(756\) | −2.58268 | + | 5.37422i | −0.0939313 | + | 0.195459i | ||||
\(757\) | 21.0120 | + | 32.6954i | 0.763696 | + | 1.18833i | 0.977392 | + | 0.211433i | \(0.0678132\pi\) |
−0.213697 | + | 0.976900i | \(0.568550\pi\) | |||||||
\(758\) | −5.56975 | + | 9.64710i | −0.202303 | + | 0.350398i | ||||
\(759\) | −10.2977 | + | 6.19613i | −0.373781 | + | 0.224905i | ||||
\(760\) | −1.50830 | − | 2.61246i | −0.0547119 | − | 0.0947638i | ||||
\(761\) | 18.3371 | − | 35.5689i | 0.664718 | − | 1.28937i | −0.279530 | − | 0.960137i | \(-0.590179\pi\) |
0.944248 | − | 0.329236i | \(-0.106791\pi\) | |||||||
\(762\) | −5.26719 | − | 5.08831i | −0.190810 | − | 0.184330i | ||||
\(763\) | −19.7841 | − | 27.7828i | −0.716231 | − | 1.00581i | ||||
\(764\) | 6.30232 | − | 1.85053i | 0.228010 | − | 0.0669497i | ||||
\(765\) | 5.35937 | − | 4.97820i | 0.193768 | − | 0.179987i | ||||
\(766\) | 5.07670 | − | 4.39899i | 0.183429 | − | 0.158942i | ||||
\(767\) | −9.77308 | + | 24.4120i | −0.352885 | + | 0.881465i | ||||
\(768\) | −23.9256 | + | 3.28072i | −0.863341 | + | 0.118383i | ||||
\(769\) | −4.13424 | + | 21.4505i | −0.149085 | + | 0.773524i | 0.828009 | + | 0.560715i | \(0.189474\pi\) |
−0.977094 | + | 0.212810i | \(0.931739\pi\) | |||||||
\(770\) | 0.259776 | − | 5.45337i | 0.00936167 | − | 0.196526i | ||||
\(771\) | 7.74242 | − | 51.4627i | 0.278836 | − | 1.85338i | ||||
\(772\) | 0.407028 | + | 1.17603i | 0.0146492 | + | 0.0423262i | ||||
\(773\) | 3.33187 | + | 0.978324i | 0.119839 | + | 0.0351879i | 0.341102 | − | 0.940026i | \(-0.389200\pi\) |
−0.221263 | + | 0.975214i | \(0.571018\pi\) | |||||||
\(774\) | −31.3295 | + | 15.6372i | −1.12612 | + | 0.562067i | ||||
\(775\) | 5.04989 | + | 5.82788i | 0.181397 | + | 0.209344i | ||||
\(776\) | −35.2827 | − | 3.36909i | −1.26657 | − | 0.120943i | ||||
\(777\) | 18.5337 | + | 6.55037i | 0.664894 | + | 0.234993i | ||||
\(778\) | −2.22509 | − | 23.3022i | −0.0797735 | − | 0.835426i | ||||
\(779\) | 2.31369 | − | 0.926260i | 0.0828964 | − | 0.0331867i | ||||
\(780\) | 3.18640 | + | 6.28109i | 0.114091 | + | 0.224899i | ||||
\(781\) | 6.34534 | + | 3.66348i | 0.227054 | + | 0.131090i | ||||
\(782\) | 5.09563 | + | 5.08749i | 0.182220 | + | 0.181928i | ||||
\(783\) | 36.7400 | − | 33.6829i | 1.31298 | − | 1.20373i | ||||
\(784\) | −7.51637 | + | 4.83048i | −0.268442 | + | 0.172517i | ||||
\(785\) | 7.27122 | − | 9.24611i | 0.259521 | − | 0.330008i | ||||
\(786\) | 9.75837 | + | 5.71925i | 0.348070 | + | 0.203999i | ||||
\(787\) | −1.36484 | + | 1.43140i | −0.0486512 | + | 0.0510239i | −0.747610 | − | 0.664138i | \(-0.768799\pi\) |
0.698959 | + | 0.715162i | \(0.253647\pi\) | |||||||
\(788\) | 1.05836 | + | 0.753658i | 0.0377027 | + | 0.0268479i | ||||
\(789\) | 3.47825 | + | 39.1231i | 0.123829 | + | 1.39282i | ||||
\(790\) | −26.1083 | − | 10.4522i | −0.928893 | − | 0.371873i | ||||
\(791\) | 5.52142 | − | 18.8042i | 0.196319 | − | 0.668601i | ||||
\(792\) | −13.2526 | + | 1.72916i | −0.470910 | + | 0.0614431i | ||||
\(793\) | 9.48548 | − | 14.7597i | 0.336839 | − | 0.524132i | ||||
\(794\) | −16.8245 | − | 32.6350i | −0.597080 | − | 1.15817i | ||||
\(795\) | −8.61124 | + | 28.6344i | −0.305409 | + | 1.01556i | ||||
\(796\) | 16.0395 | − | 3.89113i | 0.568503 | − | 0.137917i | ||||
\(797\) | −5.88407 | + | 4.62728i | −0.208424 | + | 0.163907i | −0.716915 | − | 0.697161i | \(-0.754446\pi\) |
0.508490 | + | 0.861068i | \(0.330204\pi\) | |||||||
\(798\) | 0.764101 | − | 1.64465i | 0.0270489 | − | 0.0582200i | ||||
\(799\) | −0.114042 | + | 1.19430i | −0.00403450 | + | 0.0422512i | ||||
\(800\) | −1.47596 | − | 5.02666i | −0.0521831 | − | 0.177719i | ||||
\(801\) | −3.25236 | + | 4.44337i | −0.114917 | + | 0.156999i | ||||
\(802\) | 23.0273 | + | 3.31083i | 0.813123 | + | 0.116909i | ||||
\(803\) | 0.346233 | + | 7.26832i | 0.0122183 | + | 0.256493i | ||||
\(804\) | −1.44912 | + | 2.00715i | −0.0511065 | + | 0.0707866i | ||||
\(805\) | −4.03594 | + | 15.1107i | −0.142248 | + | 0.532581i | ||||
\(806\) | 17.2152 | − | 9.93920i | 0.606380 | − | 0.350093i | ||||
\(807\) | −20.3847 | + | 10.3412i | −0.717577 | + | 0.364027i | ||||
\(808\) | 0.986193 | + | 0.775551i | 0.0346942 | + | 0.0272838i | ||||
\(809\) | −3.10955 | − | 1.42008i | −0.109326 | − | 0.0499275i | 0.360001 | − | 0.932952i | \(-0.382776\pi\) |
−0.469327 | + | 0.883024i | \(0.655504\pi\) | |||||||
\(810\) | −2.36798 | + | 19.4241i | −0.0832023 | + | 0.682494i | ||||
\(811\) | 9.35486 | + | 20.4843i | 0.328494 | + | 0.719301i | 0.999760 | − | 0.0219156i | \(-0.00697651\pi\) |
−0.671266 | + | 0.741216i | \(0.734249\pi\) | |||||||
\(812\) | 10.8083 | − | 2.08314i | 0.379298 | − | 0.0731037i | ||||
\(813\) | −41.8943 | + | 1.72166i | −1.46930 | + | 0.0603812i | ||||
\(814\) | 2.58083 | + | 10.6383i | 0.0904579 | + | 0.372872i | ||||
\(815\) | −16.3499 | − | 3.15118i | −0.572711 | − | 0.110381i | ||||
\(816\) | 1.84099 | + | 4.68701i | 0.0644475 | + | 0.164078i | ||||
\(817\) | −4.67452 | + | 2.40988i | −0.163541 | + | 0.0843111i | ||||
\(818\) | 0.246905 | + | 0.213944i | 0.00863281 | + | 0.00748038i | ||||
\(819\) | −8.00621 | + | 15.0443i | −0.279760 | + | 0.525692i | ||||
\(820\) | −5.87819 | + | 0.845156i | −0.205275 | + | 0.0295141i | ||||
\(821\) | 2.60897 | + | 13.5366i | 0.0910536 | + | 0.472431i | 0.998620 | + | 0.0525217i | \(0.0167259\pi\) |
−0.907566 | + | 0.419909i | \(0.862062\pi\) | |||||||
\(822\) | −22.0713 | + | 25.1382i | −0.769826 | + | 0.876796i | ||||
\(823\) | −18.5987 | − | 17.7338i | −0.648308 | − | 0.618161i | 0.292837 | − | 0.956162i | \(-0.405401\pi\) |
−0.941146 | + | 0.338002i | \(0.890249\pi\) | |||||||
\(824\) | −53.0844 | + | 5.06894i | −1.84928 | + | 0.176585i | ||||
\(825\) | −1.01416 | − | 3.53921i | −0.0353084 | − | 0.123219i | ||||
\(826\) | −16.1155 | + | 0.767675i | −0.560729 | + | 0.0267108i | ||||
\(827\) | −4.89430 | −0.170191 | −0.0850957 | − | 0.996373i | \(-0.527120\pi\) | ||||
−0.0850957 | + | 0.996373i | \(0.527120\pi\) | |||||||
\(828\) | 9.47921 | + | 0.794843i | 0.329425 | + | 0.0276227i | ||||
\(829\) | −14.1498 | −0.491442 | −0.245721 | − | 0.969341i | \(-0.579025\pi\) | ||||
−0.245721 | + | 0.969341i | \(0.579025\pi\) | |||||||
\(830\) | 5.91540 | − | 0.281785i | 0.205326 | − | 0.00978090i | ||||
\(831\) | 20.8837 | − | 21.6179i | 0.724449 | − | 0.749917i | ||||
\(832\) | −28.0441 | + | 2.67789i | −0.972254 | + | 0.0928390i | ||||
\(833\) | −3.74495 | − | 3.57081i | −0.129755 | − | 0.123721i | ||||
\(834\) | 0.544142 | + | 1.60604i | 0.0188421 | + | 0.0556126i | ||||
\(835\) | −3.51835 | − | 18.2549i | −0.121757 | − | 0.631737i | ||||
\(836\) | −0.493651 | + | 0.0709762i | −0.0170733 | + | 0.00245476i | ||||
\(837\) | −27.2121 | − | 1.83095i | −0.940589 | − | 0.0632868i | ||||
\(838\) | −19.4418 | − | 16.8464i | −0.671606 | − | 0.581950i | ||||
\(839\) | −45.2488 | + | 23.3274i | −1.56216 | + | 0.805351i | −0.999768 | − | 0.0215172i | \(-0.993150\pi\) |
−0.562395 | + | 0.826869i | \(0.690120\pi\) | |||||||
\(840\) | −10.8408 | + | 13.6015i | −0.374042 | + | 0.469296i | ||||
\(841\) | −61.8747 | − | 11.9254i | −2.13361 | − | 0.411220i | ||||
\(842\) | −8.71191 | − | 35.9110i | −0.300232 | − | 1.23757i | ||||
\(843\) | 14.8873 | − | 28.4203i | 0.512747 | − | 0.978849i | ||||
\(844\) | −4.51264 | + | 0.869741i | −0.155332 | + | 0.0299377i | ||||
\(845\) | −1.78518 | − | 3.90901i | −0.0614122 | − | 0.134474i | ||||
\(846\) | −1.82737 | − | 2.63842i | −0.0628264 | − | 0.0907108i | ||||
\(847\) | 14.0615 | + | 6.42165i | 0.483157 | + | 0.220651i | ||||
\(848\) | −16.1806 | − | 12.7245i | −0.555643 | − | 0.436962i | ||||
\(849\) | −15.1669 | − | 9.88763i | −0.520525 | − | 0.339343i | ||||
\(850\) | −1.91031 | + | 1.10292i | −0.0655231 | + | 0.0378298i | ||||
\(851\) | −0.771378 | − | 31.3509i | −0.0264425 | − | 1.07469i | ||||
\(852\) | −2.37467 | − | 5.29094i | −0.0813550 | − | 0.181265i | ||||
\(853\) | −0.838427 | − | 17.6008i | −0.0287072 | − | 0.602638i | −0.966689 | − | 0.255954i | \(-0.917610\pi\) |
0.937982 | − | 0.346685i | \(-0.112693\pi\) | |||||||
\(854\) | 10.6552 | + | 1.53198i | 0.364612 | + | 0.0524233i | ||||
\(855\) | −0.317544 | + | 2.92183i | −0.0108598 | + | 0.0999244i | ||||
\(856\) | 6.47802 | + | 22.0621i | 0.221414 | + | 0.754068i | ||||
\(857\) | 0.287654 | − | 3.01245i | 0.00982607 | − | 0.102903i | −0.989228 | − | 0.146381i | \(-0.953238\pi\) |
0.999054 | + | 0.0434773i | \(0.0138436\pi\) | |||||||
\(858\) | −9.45324 | + | 0.840442i | −0.322728 | + | 0.0286922i | ||||
\(859\) | −24.0531 | + | 18.9156i | −0.820681 | + | 0.645391i | −0.937586 | − | 0.347752i | \(-0.886945\pi\) |
0.116905 | + | 0.993143i | \(0.462703\pi\) | |||||||
\(860\) | 12.1787 | − | 2.95451i | 0.415289 | − | 0.100748i | ||||
\(861\) | −9.84807 | − | 10.4643i | −0.335621 | − | 0.356622i | ||||
\(862\) | 11.0952 | + | 21.5217i | 0.377905 | + | 0.733034i | ||||
\(863\) | 0.528620 | − | 0.822548i | 0.0179944 | − | 0.0279999i | −0.832140 | − | 0.554566i | \(-0.812884\pi\) |
0.850134 | + | 0.526566i | \(0.176521\pi\) | |||||||
\(864\) | 16.2997 | + | 8.81128i | 0.554527 | + | 0.299766i | ||||
\(865\) | 0.794901 | − | 2.70718i | 0.0270274 | − | 0.0920470i | ||||
\(866\) | 25.9439 | + | 10.3864i | 0.881611 | + | 0.352944i | ||||
\(867\) | 21.7095 | − | 15.2467i | 0.737293 | − | 0.517804i | ||||
\(868\) | −4.90621 | − | 3.49370i | −0.166528 | − | 0.118584i | ||||
\(869\) | −12.9141 | + | 13.5439i | −0.438082 | + | 0.459447i | ||||
\(870\) | 31.4010 | − | 17.8571i | 1.06459 | − | 0.605413i | ||||
\(871\) | −4.37388 | + | 5.56184i | −0.148203 | + | 0.188456i | ||||
\(872\) | −50.9052 | + | 32.7148i | −1.72387 | + | 1.10786i | ||||
\(873\) | 25.7999 | + | 22.9523i | 0.873194 | + | 0.776816i | ||||
\(874\) | −2.88595 | − | 0.204088i | −0.0976188 | − | 0.00690337i | ||||
\(875\) | −18.2710 | − | 10.5488i | −0.617673 | − | 0.356613i | ||||
\(876\) | 3.14539 | − | 4.82478i | 0.106273 | − | 0.163014i | ||||
\(877\) | 6.39768 | − | 2.56125i | 0.216034 | − | 0.0864871i | −0.261121 | − | 0.965306i | \(-0.584092\pi\) |
0.477155 | + | 0.878819i | \(0.341668\pi\) | |||||||
\(878\) | 0.321967 | + | 3.37179i | 0.0108658 | + | 0.113792i | ||||
\(879\) | −9.57684 | + | 8.18954i | −0.323019 | + | 0.276226i | ||||
\(880\) | −6.06359 | − | 0.579002i | −0.204403 | − | 0.0195182i | ||||
\(881\) | −7.90850 | − | 9.12690i | −0.266444 | − | 0.307493i | 0.606723 | − | 0.794913i | \(-0.292484\pi\) |
−0.873168 | + | 0.487420i | \(0.837938\pi\) | |||||||
\(882\) | 13.8170 | + | 0.839105i | 0.465244 | + | 0.0282541i | ||||
\(883\) | −16.7641 | − | 4.92238i | −0.564157 | − | 0.165651i | −0.0127958 | − | 0.999918i | \(-0.504073\pi\) |
−0.551361 | + | 0.834267i | \(0.685891\pi\) | |||||||
\(884\) | −0.918419 | − | 2.65360i | −0.0308898 | − | 0.0892502i | ||||
\(885\) | 24.3372 | − | 9.55929i | 0.818085 | − | 0.321332i | ||||
\(886\) | 0.657012 | − | 13.7924i | 0.0220727 | − | 0.463364i | ||||
\(887\) | −5.20086 | + | 26.9846i | −0.174628 | + | 0.906055i | 0.783864 | + | 0.620933i | \(0.213246\pi\) |
−0.958491 | + | 0.285122i | \(0.907966\pi\) | |||||||
\(888\) | 13.1728 | − | 32.2914i | 0.442049 | − | 1.08363i | ||||
\(889\) | −2.35717 | + | 5.88791i | −0.0790568 | + | 0.197474i | ||||
\(890\) | −3.01602 | + | 2.61339i | −0.101097 | + | 0.0876011i | ||||
\(891\) | 11.4140 | + | 6.26681i | 0.382384 | + | 0.209946i | ||||
\(892\) | 17.0168 | − | 4.99657i | 0.569763 | − | 0.167298i | ||||
\(893\) | −0.279615 | − | 0.392664i | −0.00935696 | − | 0.0131400i | ||||
\(894\) | −4.43325 | + | 17.7671i | −0.148270 | + | 0.594220i | ||||
\(895\) | 11.5536 | − | 22.4109i | 0.386195 | − | 0.749113i | ||||
\(896\) | −2.45354 | − | 4.24965i | −0.0819670 | − | 0.141971i | ||||
\(897\) | 26.9770 | + | 3.38233i | 0.900736 | + | 0.112933i | ||||
\(898\) | 8.37590 | − | 14.5075i | 0.279508 | − | 0.484121i | ||||
\(899\) | 27.2205 | + | 42.3559i | 0.907854 | + | 1.41265i | ||||
\(900\) | −0.988971 | + | 2.74113i | −0.0329657 | + | 0.0913709i | ||||
\(901\) | 4.95233 | − | 10.8441i | 0.164986 | − | 0.361269i | ||||
\(902\) | 1.88661 | − | 7.77670i | 0.0628171 | − | 0.258936i | ||||
\(903\) | 22.7867 | + | 20.0067i | 0.758294 | + | 0.665781i | ||||
\(904\) | −32.8576 | − | 11.3721i | −1.09283 | − | 0.378232i | ||||
\(905\) | −19.9370 | − | 25.3520i | −0.662728 | − | 0.842727i | ||||
\(906\) | −4.75969 | − | 34.7114i | −0.158130 | − | 1.15321i | ||||
\(907\) | −35.0218 | + | 12.1212i | −1.16288 | + | 0.402476i | −0.839270 | − | 0.543714i | \(-0.817017\pi\) |
−0.323609 | + | 0.946191i | \(0.604896\pi\) | |||||||
\(908\) | 12.4603 | + | 8.00778i | 0.413511 | + | 0.265747i | ||||
\(909\) | −0.329035 | − | 1.17723i | −0.0109134 | − | 0.0390464i | ||||
\(910\) | −8.08820 | + | 9.33429i | −0.268121 | + | 0.309429i | ||||
\(911\) | 12.6891 | − | 12.0990i | 0.420409 | − | 0.400859i | −0.450127 | − | 0.892965i | \(-0.648621\pi\) |
0.870535 | + | 0.492106i | \(0.163773\pi\) | |||||||
\(912\) | −1.79228 | − | 0.938843i | −0.0593483 | − | 0.0310882i | ||||
\(913\) | 1.28891 | − | 3.72405i | 0.0426566 | − | 0.123248i | ||||
\(914\) | 17.0426 | − | 23.9329i | 0.563718 | − | 0.791631i | ||||
\(915\) | −17.1518 | + | 3.18977i | −0.567022 | + | 0.105450i | ||||
\(916\) | −1.28179 | + | 0.912757i | −0.0423514 | + | 0.0301583i | ||||
\(917\) | 1.39401 | − | 9.69556i | 0.0460343 | − | 0.320176i | ||||
\(918\) | 1.98741 | − | 7.54422i | 0.0655943 | − | 0.248996i | ||||
\(919\) | − | 16.5181i | − | 0.544881i | −0.962173 | − | 0.272440i | \(-0.912169\pi\) | ||
0.962173 | − | 0.272440i | \(-0.0878308\pi\) | |||||||
\(920\) | 26.4376 | + | 8.42787i | 0.871620 | + | 0.277859i | ||||
\(921\) | −5.79183 | + | 56.7383i | −0.190847 | + | 1.86959i | ||||
\(922\) | −37.4411 | − | 19.3023i | −1.23306 | − | 0.635686i | ||||
\(923\) | −6.16054 | − | 15.3883i | −0.202777 | − | 0.506512i | ||||
\(924\) | 1.42150 | + | 2.49965i | 0.0467638 | + | 0.0822324i | ||||
\(925\) | 9.33620 | + | 2.26494i | 0.306972 | + | 0.0744707i | ||||
\(926\) | 29.8916 | − | 13.6510i | 0.982299 | − | 0.448601i | ||||
\(927\) | 44.6510 | + | 26.5625i | 1.46653 | + | 0.872425i | ||||
\(928\) | −4.86791 | − | 33.8570i | −0.159797 | − | 1.11141i | ||||
\(929\) | 14.3313 | + | 15.0302i | 0.470195 | + | 0.493126i | 0.915537 | − | 0.402234i | \(-0.131766\pi\) |
−0.445342 | + | 0.895361i | \(0.646918\pi\) | |||||||
\(930\) | −18.9288 | − | 5.69248i | −0.620701 | − | 0.186664i | ||||
\(931\) | 2.07674 | + | 0.0989272i | 0.0680623 | + | 0.00324221i | ||||
\(932\) | −16.9447 | − | 0.807173i | −0.555041 | − | 0.0264398i | ||||
\(933\) | 12.4136 | + | 3.73316i | 0.406404 | + | 0.122218i | ||||
\(934\) | −6.39345 | − | 6.70525i | −0.209200 | − | 0.219403i | ||||
\(935\) | −0.502038 | − | 3.49175i | −0.0164184 | − | 0.114193i | ||||
\(936\) | 25.9848 | + | 15.4581i | 0.849341 | + | 0.505265i | ||||
\(937\) | 38.0565 | − | 17.3798i | 1.24325 | − | 0.567775i | 0.318349 | − | 0.947974i | \(-0.396872\pi\) |
0.924905 | + | 0.380199i | \(0.124144\pi\) | |||||||
\(938\) | −4.21892 | − | 1.02350i | −0.137753 | − | 0.0334185i | ||||
\(939\) | 19.6470 | + | 34.5485i | 0.641156 | + | 1.12745i | ||||
\(940\) | 0.426915 | + | 1.06638i | 0.0139244 | + | 0.0347815i | ||||
\(941\) | −36.4454 | − | 18.7889i | −1.18809 | − | 0.612501i | −0.253188 | − | 0.967417i | \(-0.581479\pi\) |
−0.934898 | + | 0.354917i | \(0.884509\pi\) | |||||||
\(942\) | 1.27404 | − | 12.4808i | 0.0415104 | − | 0.406646i | ||||
\(943\) | −10.0003 | + | 20.6285i | −0.325655 | + | 0.671757i | ||||
\(944\) | 18.0003i | 0.585859i | ||||||||
\(945\) | 16.3499 | − | 4.45491i | 0.531861 | − | 0.144918i | ||||
\(946\) | −2.40323 | + | 16.7148i | −0.0781356 | + | 0.543445i | ||||
\(947\) | 17.0710 | − | 12.1562i | 0.554734 | − | 0.395025i | −0.268027 | − | 0.963411i | \(-0.586372\pi\) |
0.822761 | + | 0.568387i | \(0.192432\pi\) | |||||||
\(948\) | 14.5627 | − | 2.70826i | 0.472975 | − | 0.0879603i | ||||
\(949\) | 9.54867 | − | 13.4092i | 0.309963 | − | 0.435282i | ||||
\(950\) | 0.289880 | − | 0.837552i | 0.00940494 | − | 0.0271738i | ||||
\(951\) | 38.7477 | + | 20.2971i | 1.25648 | + | 0.658178i | ||||
\(952\) | 5.01877 | − | 4.78539i | 0.162659 | − | 0.155095i | ||||
\(953\) | 11.3526 | − | 13.1017i | 0.367748 | − | 0.424404i | −0.541472 | − | 0.840718i | \(-0.682133\pi\) |
0.909221 | + | 0.416314i | \(0.136678\pi\) | |||||||
\(954\) | 8.58462 | + | 30.7143i | 0.277937 | + | 0.994413i | ||||
\(955\) | −15.7042 | − | 10.0925i | −0.508175 | − | 0.326585i | ||||
\(956\) | −9.40313 | + | 3.25445i | −0.304119 | + | 0.105257i | ||||
\(957\) | −3.26556 | − | 23.8150i | −0.105561 | − | 0.769830i | ||||
\(958\) | −1.12652 | − | 1.43249i | −0.0363962 | − | 0.0462816i | ||||
\(959\) | 27.3767 | + | 9.47518i | 0.884041 | + | 0.305970i | ||||
\(960\) | 21.0504 | + | 18.4822i | 0.679399 | + | 0.596512i | ||||
\(961\) | −0.813343 | + | 3.35264i | −0.0262369 | + | 0.108150i | ||||
\(962\) | 10.2877 | − | 22.5270i | 0.331689 | − | 0.726298i | ||||
\(963\) | 7.60281 | − | 21.0727i | 0.244997 | − | 0.679058i | ||||
\(964\) | 7.11943 | + | 11.0781i | 0.229302 | + | 0.356800i | ||||
\(965\) | 1.76842 | − | 3.06300i | 0.0569275 | − | 0.0986014i | ||||
\(966\) | 4.98817 | + | 15.9182i | 0.160492 | + | 0.512159i | ||||
\(967\) | −7.71994 | − | 13.3713i | −0.248257 | − | 0.429993i | 0.714786 | − | 0.699344i | \(-0.246524\pi\) |
−0.963042 | + | 0.269351i | \(0.913191\pi\) | |||||||
\(968\) | 12.5671 | − | 24.3768i | 0.403922 | − | 0.783499i | ||||
\(969\) | 0.283684 | − | 1.13692i | 0.00911323 | − | 0.0365230i | ||||
\(970\) | 14.5168 | + | 20.3860i | 0.466106 | + | 0.654554i | ||||
\(971\) | −45.8951 | + | 13.4760i | −1.47285 | + | 0.432466i | −0.917023 | − | 0.398835i | \(-0.869415\pi\) |
−0.555822 | + | 0.831301i | \(0.687596\pi\) | |||||||
\(972\) | −4.42126 | − | 9.31003i | −0.141812 | − | 0.298619i | ||||
\(973\) | 1.10982 | − | 0.961662i | 0.0355791 | − | 0.0308295i | ||||
\(974\) | −12.0431 | + | 30.0821i | −0.385884 | + | 0.963893i | ||||
\(975\) | −3.14595 | + | 7.71192i | −0.100751 | + | 0.246979i | ||||
\(976\) | 2.27293 | − | 11.7931i | 0.0727546 | − | 0.377487i | ||||
\(977\) | −1.19291 | + | 25.0423i | −0.0381646 | + | 0.801174i | 0.895940 | + | 0.444175i | \(0.146503\pi\) |
−0.934105 | + | 0.356999i | \(0.883800\pi\) | |||||||
\(978\) | −16.5297 | + | 6.49262i | −0.528562 | + | 0.207611i | ||||
\(979\) | 0.868563 | + | 2.50955i | 0.0277594 | + | 0.0802055i | ||||
\(980\) | −4.75355 | − | 1.39577i | −0.151847 | − | 0.0445862i | ||||
\(981\) | 58.8466 | + | 3.57374i | 1.87883 | + | 0.114101i | ||||
\(982\) | 30.0806 | + | 34.7149i | 0.959912 | + | 1.10780i | ||||
\(983\) | −3.42910 | − | 0.327439i | −0.109371 | − | 0.0104437i | 0.0402269 | − | 0.999191i | \(-0.487192\pi\) |
−0.149598 | + | 0.988747i | \(0.547798\pi\) | |||||||
\(984\) | −19.3755 | + | 16.5688i | −0.617670 | + | 0.528194i | ||||
\(985\) | −0.351005 | − | 3.67589i | −0.0111839 | − | 0.117124i | ||||
\(986\) | −13.3705 | + | 5.35274i | −0.425804 | + | 0.170466i | ||||
\(987\) | −1.51789 | + | 2.32832i | −0.0483149 | + | 0.0741112i | ||||
\(988\) | 0.977102 | + | 0.564130i | 0.0310857 | + | 0.0179474i | ||||
\(989\) | 16.8696 | − | 45.3399i | 0.536422 | − | 1.44172i | ||||
\(990\) | 7.05071 | + | 6.27249i | 0.224086 | + | 0.199353i | ||||
\(991\) | −16.6507 | + | 10.7008i | −0.528928 | + | 0.339921i | −0.777695 | − | 0.628642i | \(-0.783611\pi\) |
0.248767 | + | 0.968563i | \(0.419975\pi\) | |||||||
\(992\) | −11.5699 | + | 14.7123i | −0.367344 | + | 0.467116i | ||||
\(993\) | −9.13201 | + | 5.19318i | −0.289795 | + | 0.164801i | ||||
\(994\) | 7.01814 | − | 7.36041i | 0.222602 | − | 0.233458i | ||||
\(995\) | −38.2093 | − | 27.2087i | −1.21132 | − | 0.862574i | ||||
\(996\) | −2.55258 | + | 1.79269i | −0.0808816 | + | 0.0568035i | ||||
\(997\) | −33.5373 | − | 13.4263i | −1.06214 | − | 0.425215i | −0.226222 | − | 0.974076i | \(-0.572637\pi\) |
−0.835914 | + | 0.548861i | \(0.815062\pi\) | |||||||
\(998\) | 0.861235 | − | 2.93310i | 0.0272619 | − | 0.0928455i | ||||
\(999\) | −28.9384 | + | 17.8067i | −0.915571 | + | 0.563379i |
(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 | 207.2.o.a.11.16 | ✓ | 440 | |
3.2 | odd | 2 | 621.2.s.a.494.7 | 440 | |||
9.4 | even | 3 | 621.2.s.a.287.7 | 440 | |||
9.5 | odd | 6 | inner | 207.2.o.a.149.16 | yes | 440 | |
23.21 | odd | 22 | inner | 207.2.o.a.182.16 | yes | 440 | |
69.44 | even | 22 | 621.2.s.a.251.7 | 440 | |||
207.67 | odd | 66 | 621.2.s.a.44.7 | 440 | |||
207.113 | even | 66 | inner | 207.2.o.a.113.16 | yes | 440 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
207.2.o.a.11.16 | ✓ | 440 | 1.1 | even | 1 | trivial | |
207.2.o.a.113.16 | yes | 440 | 207.113 | even | 66 | inner | |
207.2.o.a.149.16 | yes | 440 | 9.5 | odd | 6 | inner | |
207.2.o.a.182.16 | yes | 440 | 23.21 | odd | 22 | inner | |
621.2.s.a.44.7 | 440 | 207.67 | odd | 66 | |||
621.2.s.a.251.7 | 440 | 69.44 | even | 22 | |||
621.2.s.a.287.7 | 440 | 9.4 | even | 3 | |||
621.2.s.a.494.7 | 440 | 3.2 | odd | 2 |